diff --git a/Array Reversal.c b/Array Reversal.c
new file mode 100644
index 00000000..ea20d33c
--- /dev/null
+++ b/Array Reversal.c	
@@ -0,0 +1,33 @@
+#include <stdio.h>
+#include <stdlib.h>
+
+int main()
+{
+    int num, *arr, i;
+    scanf("%d", &num);
+    arr = (int*) malloc(num * sizeof(int));
+    for(i = 0; i < num; i++) {
+        scanf("%d", arr + i);
+    }
+    int* left_ptr = arr;
+    int* right_ptr;
+    int temp;
+    for(i = 0; i < num; i++) {
+        if(i == num - 1) {
+            right_ptr = (arr + i);
+        }
+    }
+    while(left_ptr < right_ptr) {
+        temp = *right_ptr;
+        *right_ptr = *left_ptr;
+        *left_ptr = temp;
+        right_ptr--;
+        left_ptr++;
+    }
+      
+    for(i = 0; i < num; i++) {
+        printf("%d ", *(arr + i));
+    }
+    free(arr);
+    return 0;
+}
diff --git a/Automaton/PushDown-Automata.py b/Automaton/PushDown-Automata.py
new file mode 100644
index 00000000..83799b66
--- /dev/null
+++ b/Automaton/PushDown-Automata.py
@@ -0,0 +1,90 @@
+# A Simple Implementation of Push Down Automaton:
+##    Defining the 6 tuples:
+#>  *  Q-->finite set of sets
+#>  *  Sigma-->finite set of input alphabet
+#>  *  Gamma-->finite set of stack alphabet
+#>  *  Delta-->transition relation
+#>  *  Q0-->start state
+#>  *  Z-->initial stack symbol
+#>  *  F-->set of accepting states
+
+# Defining the states:
+
+#* state 0: starting state
+
+#* state 1:From state 0 whenever it sees a 1 or 2, it moves to state 1+pushes the element onto the stack
+#* state 1:From state 1 whenever it sees a 1 or 2, it remains in state 1+pushes the element onto the stack
+
+#* state 2:From state 1 whenever it sees a 0, it moves to state 2+pops from the stack
+#* state 2:From state 1 whenever it sees a 0, it remains in state 2+pops from the stack
+
+#* state 3:From state 0, if it sees a 0,it moves to state 3,the rejected state
+#* state 3:From state 2, if it sees a 1 or 2 , it moves to state 3, the rejected state
+#* state 3:If at the end, the stack is not empty, it moves to state 3,the rejected state
+
+#stack functions
+def push(a,list1):
+    #pushing to the stack/adding to the top of the stack
+    list1.append(a)
+    return 1
+
+def pop(list1):
+    #for poping from the stack/removing the top element of the stack
+    index=len(list1)-1
+    if (index>0):
+        list1.pop(index)
+        return 1
+    else:
+        return 0
+
+#    Q={0,1,2,3}
+#    Sigma={0,1,2}
+#    Starting state={0}
+#    Z=#
+#    F={2}
+
+#setting the initial stack symbol
+stack=['#']
+#setting the starting state
+state=0
+
+#taking the input
+input_string=input('Enter the String:')
+
+#performing the operations
+l=len(input_string)
+i=0
+if l%2==0:
+    while i<l//2:
+        letter=int(input_string[i])
+        if letter in [1,2]:
+            push(letter,stack)
+            state=1
+        else :
+            state=3
+            break
+        i+=1
+    
+    while i<l:
+        letter=int(input_string[i])
+        if state==3:
+            break
+        if letter==0:
+            state=2
+            pop(stack)
+        else:
+            state=3
+            break
+        i+=1
+else:
+    state=3
+    
+if state==2 and len(stack)!=1:
+    state=3
+    
+
+#checking the final state and displaying the result
+if(state==2):
+    print("The String is accepted")
+else:
+    print("The String is rejected")
\ No newline at end of file
diff --git a/BIT/ComputeXOR1toN/computeXOR1toN.py b/BIT/ComputeXOR1toN/computeXOR1toN.py
new file mode 100644
index 00000000..32d8c293
--- /dev/null
+++ b/BIT/ComputeXOR1toN/computeXOR1toN.py
@@ -0,0 +1,14 @@
+#Direct XOR of all numbers from 1 to n 
+def computeXOR( n) 
+ 
+    if (n % 4 == 0) :
+        return n
+    if (n % 4 == 1) :
+        return 1 
+    if (n % 4 == 2) :
+        return n + 1 
+    else :
+        return 0 
+       
+n = input("enter N")
+print(computeXOR(n))
diff --git a/Backtracking/Sudoku/sudoku_solver.java b/Backtracking/Sudoku/sudoku_solver.java
new file mode 100644
index 00000000..a776c377
--- /dev/null
+++ b/Backtracking/Sudoku/sudoku_solver.java
@@ -0,0 +1,121 @@
+package project;
+
+import java.util.Scanner;
+
+public class sodokusol {
+	public static void main(String[] args) {
+		Scanner scn = new Scanner(System.in);
+		System.out.println("enter size:");
+		int s = scn.nextInt();
+		int[][] arr = new int[s][s];
+		System.out.println("enter question grid:");
+		for (int i = 0; i < s; i++) {
+			for (int j = 0; j < s; j++) {
+				arr[i][j] = scn.nextInt();
+			}
+		}
+		// display(arr);
+		System.out.println();
+		sudokusolver(arr, 0, 0);
+	}
+
+	public static void sudokusolver(int[][] sudpat, int r, int c) {
+
+		// to increment the row value when the whole previous row examined
+		if (c == sudpat[0].length) {
+			r++;
+			c = 0;
+		}
+
+		// to display the answer formed if end of whole grid reached.
+		if (r == sudpat.length) {
+			display(sudpat);
+			return;
+		}
+
+		if (sudpat[r][c] != 0) {
+			// when value already given in problem.
+			sudokusolver(sudpat, r, c + 1);
+			return;
+		}
+
+		// the value at a cell can range from 1-9
+		for (int i = 1; i < 10; i++) {
+			// check if rules apply when current value is added.
+			if (issafe(sudpat, r, c, i)) {
+				sudpat[r][c] = i;
+				sudokusolver(sudpat, r, c + 1);
+
+				// backtracking step
+				sudpat[r][c] = 0;
+			}
+		}
+	}
+
+	public static boolean issafe(int[][] board, int r, int c, int item) {
+		return issafecol(board, c, item) && issaferow(board, r, item) && issafecell(board, r, c, item);
+	}
+
+	/// check if value present in current cell
+	private static boolean issafecell(int[][] board, int r, int c, int item) {
+
+		// bring the initial value of cells
+		int row = r - r % 3;
+		int col = c - c % 3;
+		for (int i = row; i < row + 3; i++) {
+			for (int j = col; j < col + 3; j++) {
+				if (board[i][j] == item) {
+					return false;
+				}
+			}
+		}
+		return true;
+	}
+
+	// check if value present in current row.
+	private static boolean issaferow(int[][] board, int r, int item) {
+		for (int col = 0; col < board[0].length; col++) {
+			if (board[r][col] == item) {
+				return false;
+			}
+		}
+
+		return true;
+	}
+
+	// check if value present in current column
+	private static boolean issafecol(int[][] board, int c, int item) {
+		for (int row = 0; row < board.length; row++) {
+			if (board[row][c] == item) {
+				return false;
+			}
+		}
+		return true;
+	}
+
+	// display array function
+	public static void display(int[][] arr) {
+		for (int i = 0; i < arr.length; i++) {
+			for (int j = 0; j < arr[0].length; j++) {
+				System.out.print(arr[i][j] + " ");
+			}
+			System.out.println();
+		}
+
+	}
+}
+
+/*/
+ * input:
+ 9 
+ 5 3 0 0 7 0 0 0 0 
+ 6 0 0 1 9 5 0 0 0
+ 0 9 8 0 0 0 0 6 0
+ 8 0 0 0 6 0 0 0 3 
+ 4 0 0 8 0 3 0 0 1 
+ 7 0 0 0 2 0 0 0 6 
+ 0 6 0 0 0 0 2 8 0 
+ 0 0 0 4 1 9 0 0 5 
+ 0 0 0 0 8 0 0 7 9 
+ * 
+ */
diff --git a/Balanced Paranthesis.txt b/Balanced Paranthesis.txt
new file mode 100644
index 00000000..6bf7ca0f
--- /dev/null
+++ b/Balanced Paranthesis.txt	
@@ -0,0 +1,70 @@
+#include <iostream>
+#include<stack>
+using namespace std;
+
+int length(char *exp){
+int length=0;    
+for(int i=0;exp[i]!='\0';i++)
+length++;
+return length;	
+}
+
+
+
+bool checkBalanced(char *exp){
+    stack<int> st;
+    int l =length(exp);
+    for(int i = 0 ; i < l ; i++){
+        
+        if(exp[i]=='('||exp[i]=='{'||exp[i]=='['){
+         st.push(exp[i]);
+         continue;   
+        }
+        
+        else if(exp[i]==')'){
+            if(st.empty() == false){
+               if(st.top()=='(')
+                  st.pop();
+            }
+                else
+                    return false;
+                        }
+        
+        
+            else if(exp[i]=='}'){
+                if(st.empty() == false){
+            if(st.top()=='{')
+                st.pop();
+                }
+                else
+                    return false;
+                        }
+            else if(exp[i]==']'){
+                if(st.empty() == false){
+            if(st.top()=='[')
+                st.pop();
+                }
+                else
+                    return false;
+        }
+            
+        }
+       
+    
+    if(st.empty()==true){
+        return true;
+    }
+    else
+        return false;
+}
+
+int main() {
+    char input[100000];
+    cin.getline(input, 100000);
+    if(checkBalanced(input)) {
+        cout << "true" << endl;
+    }
+    else {
+        cout << "false" << endl;
+    }
+}
diff --git a/Balanced Pranthesis stack problem/Balanced_Paranthesis_Problem b/Balanced Pranthesis stack problem/Balanced_Paranthesis_Problem
new file mode 100644
index 00000000..f14655c2
--- /dev/null
+++ b/Balanced Pranthesis stack problem/Balanced_Paranthesis_Problem	
@@ -0,0 +1,72 @@
+// CPP program to check for balanced parenthesis. 
+#include<bits/stdc++.h> 
+using namespace std; 
+  
+// function to check if paranthesis are balanced 
+bool areParanthesisBalanced(string expr) 
+{ 
+    stack<char> s; 
+    char x; 
+  
+    // Traversing the Expression 
+    for (int i=0; i<expr.length(); i++) 
+    { 
+        if (expr[i]=='('||expr[i]=='['||expr[i]=='{') 
+        { 
+            // Push the element in the stack 
+            s.push(expr[i]); 
+            continue; 
+        } 
+  
+        // IF current current character is not opening 
+        // bracket, then it must be closing. So stack 
+        // cannot be empty at this point. 
+        if (s.empty()) 
+           return false; 
+  
+        switch (expr[i]) 
+        { 
+        case ')': 
+  
+            // Store the top element in a 
+            x = s.top(); 
+            s.pop(); 
+            if (x=='{' || x=='[') 
+                return false; 
+            break; 
+  
+        case '}': 
+  
+            // Store the top element in b 
+            x = s.top(); 
+            s.pop(); 
+            if (x=='(' || x=='[') 
+                return false; 
+            break; 
+  
+        case ']': 
+  
+            // Store the top element in c 
+            x = s.top(); 
+            s.pop(); 
+            if (x =='(' || x == '{') 
+                return false; 
+            break; 
+        } 
+    } 
+  
+    // Check Empty Stack 
+    return (s.empty()); 
+} 
+  
+// Driver program to test above function 
+int main() 
+{ 
+    string expr = "{()}[]"; 
+  
+    if (areParanthesisBalanced(expr)) 
+        cout << "Balanced"; 
+    else
+        cout << "Not Balanced"; 
+    return 0; 
+} 
diff --git a/Balanced Pranthesis stack problem/Balanced_paranthesis_optimized.py b/Balanced Pranthesis stack problem/Balanced_paranthesis_optimized.py
new file mode 100644
index 00000000..6eeea69e
--- /dev/null
+++ b/Balanced Pranthesis stack problem/Balanced_paranthesis_optimized.py	
@@ -0,0 +1,26 @@
+# Optimized Python3 code to Check for balanced parentheses in an expression 
+open_list = ["[","{","("] 
+close_list = ["]","}",")"] 
+
+# Function to check parentheses 
+def check(myStr): 
+	stack = [] 
+	for i in myStr: 
+		if i in open_list: 
+			stack.append(i) 
+		elif i in close_list: 
+			pos = close_list.index(i) 
+			if ((len(stack) > 0) and
+				(open_list[pos] == stack[len(stack)-1])): 
+				stack.pop() 
+			else: 
+				return "Unbalanced"
+	if len(stack) == 0: 
+		return "Balanced"
+
+# Driver code 
+string = "{[]{()}}"
+print(string,"-", check(string)) 
+
+string = "[{}{})(]"
+print(string,"-", check(string)) 
diff --git a/Balanced Pranthesis stack problem/Parenthesis_check (using C) b/Balanced Pranthesis stack problem/Parenthesis_check (using C)
new file mode 100644
index 00000000..f9055ec2
--- /dev/null
+++ b/Balanced Pranthesis stack problem/Parenthesis_check (using C)	
@@ -0,0 +1,90 @@
+#include<stdio.h>
+void push(char *s,int*,char);
+char pop(char* s, int*);
+int isempty(int);
+int match(char *);
+int main()
+{
+  char expr[100];
+  printf("Enter the expression\n");
+  scanf("%s",expr);
+  int result=match(expr);
+  if(result)
+   printf("Matching succeeds\n");
+ else
+   printf("matching fails\n");
+}
+
+  int match( char *expr)
+  {
+    char ch,x,s[100];
+    int top,i;
+    top=-1;
+    i=0;
+    while(expr[i]!='\0')
+    {
+       ch=expr[i];
+       switch(ch)
+       {
+         case '(':
+         case '{':
+         case '[': push(s,&top,ch);
+                    break;
+         case ')':if(!isempty(top))
+                  {
+                     x=pop(s,&top);
+                     if(x!='(')
+                       return 0;
+                     break;
+                  }
+                  else
+                    return 0;
+
+         case '}':if(!isempty(top))
+                  {
+                     x=pop(s,&top);
+                     if(x!='{')
+                       return 0;
+                     break;
+                   }
+                  else
+                    return 0;
+
+         case ']':if(!isempty(top))
+                  {
+                     x=pop(s,&top);
+                     if(x!='[')
+                       return 0;
+                     break;
+                   }
+                  else
+                    return 0;
+        }
+        i++;
+     }
+     if(isempty(top))
+        return 1;
+      return 0;
+   }
+
+
+ void push(char *s,int *t,char x)
+  {
+   ++*t;
+   s[*t]=x;
+  }
+
+  char pop(char *s, int *t)
+  {
+    char x;
+    x=s[*t];
+    --*t;
+    return x;
+  }
+
+ int isempty(int top)
+  {
+    if(top==-1)
+      return 1;
+     return 0;
+  }
diff --git a/Balanced Pranthesis stack problem/parenthesis_matching.py b/Balanced Pranthesis stack problem/parenthesis_matching.py
new file mode 100644
index 00000000..14581771
--- /dev/null
+++ b/Balanced Pranthesis stack problem/parenthesis_matching.py	
@@ -0,0 +1,80 @@
+# -*- coding: utf-8 -*-
+"""
+Created on Fri Oct 18 23:13:34 2019
+
+@author: Prajwal
+"""
+
+
+
+
+def push(x, stack):
+    stack.append(x)
+
+
+def pop(stack):
+    x=stack.pop()
+    return x
+
+def is_empty(stack):
+    if(len(stack)==0):
+        return 1
+    else:
+        return 0
+
+def match(exp):
+    stack=list()
+    for i in exp:
+        ch=i
+        #checks for opening brackets
+        if(ch=='('):
+            push(ch, stack)
+        elif(ch=='['):
+            push(ch, stack)
+        elif(ch=='{'):
+            push(ch, stack) 
+            
+            
+        #checks for closing brackets    
+        elif(ch==')'):
+            if((is_empty(stack))==0):
+                x=pop(stack)
+                if(x != '('):
+                    return 0
+            else:
+                return 0
+        elif(ch==']'):
+            if((is_empty(stack))==0):
+                x=pop(stack)
+                if(x != '['):
+                    return 0
+            else:
+                return 0
+        elif(ch=='}'):
+            if((is_empty(stack))==0):
+                x=pop(stack)
+                if(x != '{'):
+                    return 0
+            else:
+                return 0
+            
+    #checks is all elements of stack are dealt with
+    if(is_empty(stack)):
+        return 1
+    else:
+        return 0
+        
+        
+if __name__=='__main__':
+    string=input('Enter the parenthesis string  :  ')
+    result=match(string)
+    if(result):
+        print('Parenthesis are matched')
+    else:
+        print('Parenthesis are not matched')
+                
+                
+    
+        
+
+        
\ No newline at end of file
diff --git a/Balanced-Unbalanced-exp.py b/Balanced-Unbalanced-exp.py
new file mode 100644
index 00000000..a188402e
--- /dev/null
+++ b/Balanced-Unbalanced-exp.py
@@ -0,0 +1,28 @@
+def isBalanced(expr):
+    stack = []
+    for char in expr:
+        if char in ["(", "{", "["]:
+            stack.append(char)
+        else:
+            if not stack:
+                return False
+            current_char = stack.pop()
+            if current_char == '(':
+                if char != ")":
+                    return False
+            if current_char == '{':
+                if char != "}":
+                    return False
+            if current_char == '[':
+                if char != "]":
+                    return False
+    if stack:
+        return False
+    return True
+
+
+expr = input("Enter the Expression i.e. {},[],()- Combination of these\n")
+if isBalanced(expr):
+    print("Balanced")
+else:
+    print("Not Balanced")
diff --git a/Brute Force b/Brute Force
new file mode 100644
index 00000000..59ea5dd8
--- /dev/null
+++ b/Brute Force	
@@ -0,0 +1,40 @@
+#include <stdio.h>
+#include <string.h>
+#include <stdlib.h>
+
+static const char alphabet[] =
+"abcdefghijklmnopqrstuvwxyz"
+"ABCDEFGHIJKLMNOPQRSTUVWXYZ"
+"0123456789";
+
+static const int alphabetSize = sizeof(alphabet) - 1;
+
+void bruteImpl(char* str, int index, int maxDepth)
+{
+    for (int i = 0; i < alphabetSize; ++i)
+    {
+        str[index] = alphabet[i];
+
+        if (index == maxDepth - 1) printf("%s\n", str);
+        else bruteImpl(str, index + 1, maxDepth);
+    }
+}
+
+void bruteSequential(int maxLen)
+{
+    char* buf = malloc(maxLen + 1);
+
+    for (int i = 1; i <= maxLen; ++i)
+    {
+        memset(buf, 0, maxLen + 1);
+        bruteImpl(buf, 0, i);
+    }
+
+    free(buf);
+}
+
+int main(void)
+{
+    bruteSequential(3);
+    return 0;
+}
diff --git a/BucketSort.cpp b/BucketSort.cpp
index b8b755db..b4d66cfd 100644
--- a/BucketSort.cpp
+++ b/BucketSort.cpp
@@ -1,38 +1,69 @@
-// C++ BucketSort 
-#include <iostream> 
-#include <algorithm> 
-#include <vector> 
-using namespace std; 
-
-// Function to sort arr[] of size n using bucket sort 
-void bucketSort(float arr[], int n) 
-{ 
-	//Create n empty buckets 
-	vector<float> b[n]; 	
-	// adds array elements in different buckets 
-	for (int i=0; i<n; i++) 
-	{ 
-	int bi = n*arr[i]; // Index in bucket 
-	b[bi].push_back(arr[i]); 
-	} 
-	// Sort buckets individually 
-	for (int i=0; i<n; i++) 
-	sort(b[i].begin(), b[i].end()); 
-	//Concatenate all buckets into arr[] 
-	int index = 0; 
-	for (int i = 0; i < n; i++) 
-		for (int j = 0; j < b[i].size(); j++) 
-		arr[index++] = b[i][j]; 
-} 
-
-//Main Funct
-int main() 
-{ 
-	float arr[] = {0.897, 0.565, 0.656, 0.1234, 0.665, 0.3434}; 
-	int n = sizeof(arr)/sizeof(arr[0]); 
-	bucketSort(arr, n); 
-	cout << "Sorted array is \n"; 
-	for (int i=0; i<n; i++) 
-	cout << arr[i] << " "; 
-	return 0; 
+#include <cstdio>
+#include <climits>
+
+#define INF INT_MAX
+
+#define ELEMENT_COUNT 100000
+#define ELEMENT_RANGE (1 << 17)
+#define GROUP_RANGE (1 << 2)
+
+using namespace std;
+
+int n, d[ELEMENT_COUNT];
+
+struct node
+{
+  int v, next;
+}A[ELEMENT_COUNT + 1];
+int head[ELEMENT_RANGE / GROUP_RANGE], cnt[ELEMENT_RANGE / GROUP_RANGE], vc = 1;
+
+void insert(int v)
+{
+  int group = v / GROUP_RANGE;
+  A[vc].next = head[group];
+  head[group] = vc;
+  A[vc].v = v;
+  cnt[group]++;
+  vc++;
+}
+
+void bucket_sort()
+{
+  for (int i = 0; i < n; i++)
+  {
+    insert(d[i]);
+  }
+  int ptr = 0;
+  for (int i = 0; i < ELEMENT_RANGE / GROUP_RANGE; i++)
+  {
+    for (int j = 0; j < cnt[i]; j++)
+    {
+      int minv = INF, ord;
+      for (int cur = head[i]; cur != 0; cur = A[cur].next)
+      {
+        if (A[cur].v < minv)
+        {
+          minv = A[cur].v;
+          ord = cur;
+        }
+      }
+      d[ptr++] = minv;
+      A[ord].v = INF;
+    }
+  }
+}
+
+int main()
+{
+  scanf("%d", &n);
+  for (int i = 0; i < n; i++)
+  {
+    scanf("%d", &d[i]);
+  }
+  bucket_sort();
+  for (int i = 0; i < n; i++)
+  {
+    printf("%d ", d[i]);
+  }
+  return 0;
 }
diff --git a/C++/Balance_Paranthesis_Algorithm.cpp b/C++/Balance_Paranthesis_Algorithm.cpp
new file mode 100644
index 00000000..33226c34
--- /dev/null
+++ b/C++/Balance_Paranthesis_Algorithm.cpp
@@ -0,0 +1,117 @@
+#include<stdio.h>
+#include<stdlib.h>
+#define SIZE  5
+#include<iostream>
+using namespace std;
+char a[SIZE];
+int top=-1;
+void push(int data)
+{
+    if(top==SIZE-1)
+    {
+        throw "Sorry! stack is full no more space\n";
+    }
+    else{
+        a[++top]=data;
+       // printf("element inserted\n");
+    }
+}
+void pop()
+{
+
+    if(top==-1)
+    {
+        throw "empty stack can't be deleted\n";
+       // printf("empty stack can't deleted\n");
+    }
+    else
+    {
+        //printf("deleted = %d\n",a[top]);
+        top--;
+    }
+
+}
+int topIndex()
+{
+    if(top==-1)
+    {
+        throw "Empty Stack";
+    }
+    else
+    {
+        return a[top];
+    }
+}
+int size()
+{
+    return top+1;
+}
+bool empty()
+{
+    return top==-1;
+}
+int main()
+{
+    /*char ele;
+    char ch ='y';
+    while(ch=='y')
+    {
+
+      try{
+        if(ele=='{')
+            push(ele);
+        else
+            pop();
+        cout<<"enter more put y";
+        cin>>ch;
+        }
+        catch(const char *msg)
+        {
+            cout<<"not balanced";
+        }
+    }
+    if(top==-1)
+        cout<<"balanced";*/
+   string braces="{[]}}";
+   try{
+       for(char c:braces)
+       {
+           if(c=='{' || c=='(' || c=='[')
+                {
+                    push(c);
+                }
+          else{
+                if(c=='}' && topIndex()=='{')
+                    {
+                        pop();
+                    }
+                else if(c==')' && topIndex()=='(')
+                    {
+                        pop();
+                    }
+                else if(c==']' && topIndex()=='[')
+                {
+
+                    pop();
+                }
+                else
+                {
+                    throw "not balnced";
+                }
+           }
+       }
+       if(empty()==true)
+       {
+           cout<<"balanced";
+       }
+       else
+       {
+           cout<<"not balanced";
+       }
+   }
+   catch(...)
+   {
+       cout<<"not balanced";
+   }
+}
+
diff --git a/C++/Bitap.cpp b/C++/Bitap.cpp
new file mode 100644
index 00000000..e977db4e
--- /dev/null
+++ b/C++/Bitap.cpp
@@ -0,0 +1,111 @@
+    #include <string>
+
+    #include <map>
+
+    #include <iostream>
+
+     
+
+    using namespace std;
+
+    int bitap_search(string text, string pattern)
+
+    {
+
+        int m = pattern.length();
+
+        long pattern_mask[256];
+
+        /** Initialize the bit array R **/
+
+        long R = ~1;
+
+        if (m == 0)
+
+            return -1;
+
+        if (m > 63)
+
+        {
+
+            cout<<"Pattern is too long!";
+
+            return -1;
+
+        }
+
+     
+
+        /** Initialize the pattern bitmasks **/
+
+        for (int i = 0; i <= 255; ++i)
+
+            pattern_mask[i] = ~0;
+
+        for (int i = 0; i < m; ++i)
+
+            pattern_mask[pattern[i]] &= ~(1L << i);
+
+        for (int i = 0; i < text.length(); ++i)
+
+        {
+
+            /** Update the bit array **/
+
+            R |= pattern_mask[text[i]];
+
+            R <<= 1;
+
+            if ((R & (1L << m)) == 0)
+
+     
+
+                return i - m + 1;
+
+        }
+
+        return -1;
+
+    }
+
+    void findPattern(string t, string p)
+
+    {
+
+        int pos = bitap_search(t, p);
+
+        if (pos == -1)
+
+            cout << "\nNo Match\n";
+
+        else
+
+            cout << "\nPattern found at position : " << pos;
+
+    }
+
+     
+
+    int main(int argc, char **argv)
+
+    {
+
+     
+
+        cout << "Bitap Algorithm Test\n";
+
+        cout << "Enter Text\n";
+
+        string text;
+
+        cin >> text;
+
+        cout << "Enter Pattern\n";
+
+        string pattern;
+
+        cin >> pattern;
+
+        findPattern(text, pattern);
+
+    }
diff --git a/C++/Bubblesort b/C++/Bubblesort
new file mode 100644
index 00000000..ab192d2e
--- /dev/null
+++ b/C++/Bubblesort
@@ -0,0 +1,37 @@
+/* C++ Program - Bubble Sort */
+		
+#include<bits/stdc++.h>
+using namespace std;
+int main()
+{
+	
+	int n, i, j, temp;
+	cout<<"Enter total number of elements :";
+	cin>>n;
+	int arr[n];
+	cout<<"Enter "<<n<<" numbers :";
+	for(i=0; i<n; i++)
+	{
+		cin>>arr[i];
+	}
+	cout<<"Sorting array using bubble sort technique...\n";
+	for(i=0; i<(n-1); i++)
+	{
+		for(j=0; j<(n-i-1); j++)
+		{
+			if(arr[j]>arr[j+1])
+			{
+				temp=arr[j];
+				arr[j]=arr[j+1];
+				arr[j+1]=temp;
+			}
+		}
+	}
+	cout<<"Elements sorted successfully..!!\n";
+	cout<<"Sorted list in ascending order :\n";
+	for(i=0; i<n; i++)
+	{
+		cout<<arr[i]<<" ";
+	}
+	return 0;
+}
diff --git a/C++/ElulerianGraph.cpp b/C++/ElulerianGraph.cpp
new file mode 100644
index 00000000..0f83567c
--- /dev/null
+++ b/C++/ElulerianGraph.cpp
@@ -0,0 +1,100 @@
+#include <iostream>
+#include <list>
+
+using namespace std;
+
+
+class Graph{
+
+private:
+	int num_vertices;
+    list<int> *adj;
+public:
+	Graph(int V);
+	bool is_Elulerian();
+	void DFS(int g,bool visited[]);
+	bool connected();
+	void add_edge(int x,int w);
+
+};
+
+Graph::Graph(int V){
+
+    this->num_vertices=V;
+    this->adj=new list<int>[V];
+}
+void Graph::DFS(int g,bool visited[]){
+
+       visited[g]=true;
+
+       list<int>::iterator i;
+       for (i=adj[g].begin();i!=adj[g].end();i++){
+       	     if ( visited[*i] != true){
+       	     	   DFS(*i,visited);
+       	     }
+       }
+
+}
+bool Graph::connected(){
+
+    bool visited[num_vertices];
+    for (int i=0;i<num_vertices;i++){
+    	visited[i]=false;
+    }
+    int k=0;
+    for (k=0;k<num_vertices;k++){
+    	if (adj[k].size()!=0){
+    		break;
+    	}
+    }
+    DFS(k,visited);
+     for (k=0;k<num_vertices;k++){
+    	if (adj[k].size()!=0){
+    		if (!visited[k]){
+    			return false;
+    		}
+    	}
+    }
+    return true;
+    
+
+}
+bool Graph::is_Elulerian(){
+
+
+    if (!connected()){
+    	return false;
+    } 
+     int odd=0;
+     for(int i=0;i<num_vertices;i++){
+     	if(adj[i].size() & 1){
+     		odd++;
+     	}
+     }
+     if (odd>2){
+
+     	return false;
+     }
+     return true;
+
+
+
+}
+
+void Graph::add_edge(int x,int w){
+
+   adj[x].push_back(w);
+   adj[w].push_back(x);
+
+}
+
+int main(){
+
+//checking purpose
+Graph g(2);
+g.add_edge(0,1);
+//return 1 if it is ElulerianGraph(fully or semi) and 0 if it is not
+cout<<g.is_Elulerian();
+
+
+}
diff --git a/C++/Graham Scan For Convex Hall b/C++/Graham Scan For Convex Hall
new file mode 100644
index 00000000..bec5d359
--- /dev/null
+++ b/C++/Graham Scan For Convex Hall	
@@ -0,0 +1,157 @@
+// A C++ program to find convex hull of a set of points. Refer 
+// https://www.geeksforgeeks.org/orientation-3-ordered-points/ 
+// for explanation of orientation() 
+#include <iostream> 
+#include <stack> 
+#include <stdlib.h> 
+using namespace std; 
+
+struct Point 
+{ 
+	int x, y; 
+}; 
+
+// A global point needed for sorting points with reference 
+// to the first point Used in compare function of qsort() 
+Point p0; 
+
+// A utility function to find next to top in a stack 
+Point nextToTop(stack<Point> &S) 
+{ 
+	Point p = S.top(); 
+	S.pop(); 
+	Point res = S.top(); 
+	S.push(p); 
+	return res; 
+} 
+
+// A utility function to swap two points 
+int swap(Point &p1, Point &p2) 
+{ 
+	Point temp = p1; 
+	p1 = p2; 
+	p2 = temp; 
+} 
+
+// A utility function to return square of distance 
+// between p1 and p2 
+int distSq(Point p1, Point p2) 
+{ 
+	return (p1.x - p2.x)*(p1.x - p2.x) + 
+		(p1.y - p2.y)*(p1.y - p2.y); 
+} 
+
+// To find orientation of ordered triplet (p, q, r). 
+// The function returns following values 
+// 0 --> p, q and r are colinear 
+// 1 --> Clockwise 
+// 2 --> Counterclockwise 
+int orientation(Point p, Point q, Point r) 
+{ 
+	int val = (q.y - p.y) * (r.x - q.x) - 
+			(q.x - p.x) * (r.y - q.y); 
+
+	if (val == 0) return 0; // colinear 
+	return (val > 0)? 1: 2; // clock or counterclock wise 
+} 
+
+// A function used by library function qsort() to sort an array of 
+// points with respect to the first point 
+int compare(const void *vp1, const void *vp2) 
+{ 
+Point *p1 = (Point *)vp1; 
+Point *p2 = (Point *)vp2; 
+
+// Find orientation 
+int o = orientation(p0, *p1, *p2); 
+if (o == 0) 
+	return (distSq(p0, *p2) >= distSq(p0, *p1))? -1 : 1; 
+
+return (o == 2)? -1: 1; 
+} 
+
+// Prints convex hull of a set of n points. 
+void convexHull(Point points[], int n) 
+{ 
+// Find the bottommost point 
+int ymin = points[0].y, min = 0; 
+for (int i = 1; i < n; i++) 
+{ 
+	int y = points[i].y; 
+
+	// Pick the bottom-most or chose the left 
+	// most point in case of tie 
+	if ((y < ymin) || (ymin == y && 
+		points[i].x < points[min].x)) 
+		ymin = points[i].y, min = i; 
+} 
+
+// Place the bottom-most point at first position 
+swap(points[0], points[min]); 
+
+// Sort n-1 points with respect to the first point. 
+// A point p1 comes before p2 in sorted output if p2 
+// has larger polar angle (in counterclockwise 
+// direction) than p1 
+p0 = points[0]; 
+qsort(&points[1], n-1, sizeof(Point), compare); 
+
+// If two or more points make same angle with p0, 
+// Remove all but the one that is farthest from p0 
+// Remember that, in above sorting, our criteria was 
+// to keep the farthest point at the end when more than 
+// one points have same angle. 
+int m = 1; // Initialize size of modified array 
+for (int i=1; i<n; i++) 
+{ 
+	// Keep removing i while angle of i and i+1 is same 
+	// with respect to p0 
+	while (i < n-1 && orientation(p0, points[i], 
+									points[i+1]) == 0) 
+		i++; 
+
+
+	points[m] = points[i]; 
+	m++; // Update size of modified array 
+} 
+
+// If modified array of points has less than 3 points, 
+// convex hull is not possible 
+if (m < 3) return; 
+
+// Create an empty stack and push first three points 
+// to it. 
+stack<Point> S; 
+S.push(points[0]); 
+S.push(points[1]); 
+S.push(points[2]); 
+
+// Process remaining n-3 points 
+for (int i = 3; i < m; i++) 
+{ 
+	// Keep removing top while the angle formed by 
+	// points next-to-top, top, and points[i] makes 
+	// a non-left turn 
+	while (orientation(nextToTop(S), S.top(), points[i]) != 2) 
+		S.pop(); 
+	S.push(points[i]); 
+} 
+
+// Now stack has the output points, print contents of stack 
+while (!S.empty()) 
+{ 
+	Point p = S.top(); 
+	cout << "(" << p.x << ", " << p.y <<")" << endl; 
+	S.pop(); 
+} 
+} 
+
+// Driver program to test above functions 
+int main() 
+{ 
+	Point points[] = {{0, 3}, {1, 1}, {2, 2}, {4, 4}, 
+					{0, 0}, {1, 2}, {3, 1}, {3, 3}}; 
+	int n = sizeof(points)/sizeof(points[0]); 
+	convexHull(points, n); 
+	return 0; 
+} 
diff --git a/C++/Hashing with Chaining b/C++/Hashing with Chaining
new file mode 100644
index 00000000..4b017859
--- /dev/null
+++ b/C++/Hashing with Chaining	
@@ -0,0 +1,88 @@
+// CPP program to implement hashing with chaining 
+#include<iostream> 
+#include <list> 
+using namespace std; 
+
+class Hash 
+{ 
+	int BUCKET; // No. of buckets 
+
+	// Pointer to an array containing buckets 
+	list<int> *table; 
+public: 
+	Hash(int V); // Constructor 
+
+	// inserts a key into hash table 
+	void insertItem(int x); 
+
+	// deletes a key from hash table 
+	void deleteItem(int key); 
+
+	// hash function to map values to key 
+	int hashFunction(int x) { 
+		return (x % BUCKET); 
+	} 
+
+	void displayHash(); 
+}; 
+
+Hash::Hash(int b) 
+{ 
+	this->BUCKET = b; 
+	table = new list<int>[BUCKET]; 
+} 
+
+void Hash::insertItem(int key) 
+{ 
+	int index = hashFunction(key); 
+	table[index].push_back(key); 
+} 
+
+void Hash::deleteItem(int key) 
+{ 
+// get the hash index of key 
+int index = hashFunction(key); 
+
+// find the key in (inex)th list 
+list <int> :: iterator i; 
+for (i = table[index].begin(); 
+		i != table[index].end(); i++) { 
+	if (*i == key) 
+	break; 
+} 
+
+// if key is found in hash table, remove it 
+if (i != table[index].end()) 
+	table[index].erase(i); 
+} 
+
+// function to display hash table 
+void Hash::displayHash() { 
+for (int i = 0; i < BUCKET; i++) { 
+	cout << i; 
+	for (auto x : table[i]) 
+	cout << " --> " << x; 
+	cout << endl; 
+} 
+} 
+
+int main() 
+{ 
+// array that contains keys to be mapped 
+int a[] = {15, 11, 27, 8, 12}; 
+int n = sizeof(a)/sizeof(a[0]); 
+
+// insert the keys into the hash table 
+Hash h(7); 
+  
+for (int i = 0; i < n; i++) 
+	h.insertItem(a[i]); 
+
+// delete 12 from hash table 
+h.deleteItem(12); 
+
+// display the Hash table 
+h.displayHash(); 
+
+return 0; 
+} 
diff --git a/C++/Kargers_randomized.cpp b/C++/Kargers_randomized.cpp
new file mode 100644
index 00000000..b1721097
--- /dev/null
+++ b/C++/Kargers_randomized.cpp
@@ -0,0 +1,193 @@
+// Karger's algorithm to find Minimum Cut in an 
+// undirected, unweighted and connected graph. 
+#include <stdio.h> 
+#include <stdlib.h> 
+#include <time.h> 
+
+// a structure to represent a unweighted edge in graph 
+struct Edge 
+{ 
+	int src, dest; 
+}; 
+
+// a structure to represent a connected, undirected 
+// and unweighted graph as a collection of edges. 
+struct Graph 
+{ 
+	// V-> Number of vertices, E-> Number of edges 
+	int V, E; 
+
+	// graph is represented as an array of edges. 
+	// Since the graph is undirected, the edge 
+	// from src to dest is also edge from dest 
+	// to src. Both are counted as 1 edge here. 
+	Edge* edge; 
+}; 
+
+// A structure to represent a subset for union-find 
+struct subset 
+{ 
+	int parent; 
+	int rank; 
+}; 
+
+// Function prototypes for union-find (These functions are defined 
+// after kargerMinCut() ) 
+int find(struct subset subsets[], int i); 
+void Union(struct subset subsets[], int x, int y); 
+
+// A very basic implementation of Karger's randomized 
+// algorithm for finding the minimum cut. Please note 
+// that Karger's algorithm is a Monte Carlo Randomized algo 
+// and the cut returned by the algorithm may not be 
+// minimum always 
+int kargerMinCut(struct Graph* graph) 
+{ 
+	// Get data of given graph 
+	int V = graph->V, E = graph->E; 
+	Edge *edge = graph->edge; 
+
+	// Allocate memory for creating V subsets. 
+	struct subset *subsets = new subset[V]; 
+
+	// Create V subsets with single elements 
+	for (int v = 0; v < V; ++v) 
+	{ 
+		subsets[v].parent = v; 
+		subsets[v].rank = 0; 
+	} 
+
+	// Initially there are V vertices in 
+	// contracted graph 
+	int vertices = V; 
+
+	// Keep contracting vertices until there are 
+	// 2 vertices. 
+	while (vertices > 2) 
+	{ 
+	// Pick a random edge 
+	int i = rand() % E; 
+
+	// Find vertices (or sets) of two corners 
+	// of current edge 
+	int subset1 = find(subsets, edge[i].src); 
+	int subset2 = find(subsets, edge[i].dest); 
+
+	// If two corners belong to same subset, 
+	// then no point considering this edge 
+	if (subset1 == subset2) 
+		continue; 
+
+	// Else contract the edge (or combine the 
+	// corners of edge into one vertex) 
+	else
+	{ 
+		printf("Contracting edge %d-%d\n", 
+				edge[i].src, edge[i].dest); 
+		vertices--; 
+		Union(subsets, subset1, subset2); 
+	} 
+	} 
+
+	// Now we have two vertices (or subsets) left in 
+	// the contracted graph, so count the edges between 
+	// two components and return the count. 
+	int cutedges = 0; 
+	for (int i=0; i<E; i++) 
+	{ 
+		int subset1 = find(subsets, edge[i].src); 
+		int subset2 = find(subsets, edge[i].dest); 
+		if (subset1 != subset2) 
+		cutedges++; 
+	} 
+
+	return cutedges; 
+} 
+
+// A utility function to find set of an element i 
+// (uses path compression technique) 
+int find(struct subset subsets[], int i) 
+{ 
+	// find root and make root as parent of i 
+	// (path compression) 
+	if (subsets[i].parent != i) 
+	subsets[i].parent = 
+			find(subsets, subsets[i].parent); 
+
+	return subsets[i].parent; 
+} 
+
+// A function that does union of two sets of x and y 
+// (uses union by rank) 
+void Union(struct subset subsets[], int x, int y) 
+{ 
+	int xroot = find(subsets, x); 
+	int yroot = find(subsets, y); 
+
+	// Attach smaller rank tree under root of high 
+	// rank tree (Union by Rank) 
+	if (subsets[xroot].rank < subsets[yroot].rank) 
+		subsets[xroot].parent = yroot; 
+	else if (subsets[xroot].rank > subsets[yroot].rank) 
+		subsets[yroot].parent = xroot; 
+
+	// If ranks are same, then make one as root and 
+	// increment its rank by one 
+	else
+	{ 
+		subsets[yroot].parent = xroot; 
+		subsets[xroot].rank++; 
+	} 
+} 
+
+// Creates a graph with V vertices and E edges 
+struct Graph* createGraph(int V, int E) 
+{ 
+	Graph* graph = new Graph; 
+	graph->V = V; 
+	graph->E = E; 
+	graph->edge = new Edge[E]; 
+	return graph; 
+} 
+
+// Driver program to test above functions 
+int main() 
+{ 
+	/* Let us create following unweighted graph 
+		0------1 
+		| \ | 
+		| \ | 
+		|	 \| 
+		2------3 */
+	int V = 4; // Number of vertices in graph 
+	int E = 5; // Number of edges in graph 
+	struct Graph* graph = createGraph(V, E); 
+
+	// add edge 0-1 
+	graph->edge[0].src = 0; 
+	graph->edge[0].dest = 1; 
+
+	// add edge 0-2 
+	graph->edge[1].src = 0; 
+	graph->edge[1].dest = 2; 
+
+	// add edge 0-3 
+	graph->edge[2].src = 0; 
+	graph->edge[2].dest = 3; 
+
+	// add edge 1-3 
+	graph->edge[3].src = 1; 
+	graph->edge[3].dest = 3; 
+
+	// add edge 2-3 
+	graph->edge[4].src = 2; 
+	graph->edge[4].dest = 3; 
+
+	// Use a different seed value for every run. 
+	srand(time(NULL)); 
+
+	printf("\nCut found by Karger's randomized algo is %d\n", 
+		kargerMinCut(graph)); 
+
+	return 0; 
+} 
diff --git a/C++/LONGEST COMMON SUBSEQUENCE.cpp b/C++/LONGEST COMMON SUBSEQUENCE.cpp
new file mode 100644
index 00000000..a047fd52
--- /dev/null
+++ b/C++/LONGEST COMMON SUBSEQUENCE.cpp	
@@ -0,0 +1,48 @@
+#include <bits/stdc++.h> 
+  
+int max(int a, int b); 
+  
+/* Returns length of LCS for X[0..m-1], Y[0..n-1] */
+int lcs(char* X, char* Y, int m, int n) 
+{ 
+    int L[m + 1][n + 1]; 
+    int i, j; 
+  
+    /* Following steps build L[m+1][n+1] in bottom up fashion. Note  
+      that L[i][j] contains length of LCS of X[0..i-1] and Y[0..j-1] */
+    for (i = 0; i <= m; i++) { 
+        for (j = 0; j <= n; j++) { 
+            if (i == 0 || j == 0) 
+                L[i][j] = 0; 
+  
+            else if (X[i - 1] == Y[j - 1]) 
+                L[i][j] = L[i - 1][j - 1] + 1; 
+  
+            else
+                L[i][j] = max(L[i - 1][j], L[i][j - 1]); 
+        } 
+    } 
+  
+    /* L[m][n] contains length of LCS for X[0..n-1] and Y[0..m-1] */
+    return L[m][n]; 
+} 
+  
+/* Utility function to get max of 2 integers */
+int max(int a, int b) 
+{ 
+    return (a > b) ? a : b; 
+} 
+  
+/* Driver program to test above function */
+int main() 
+{ 
+    char X[] = "AGGTAB"; 
+    char Y[] = "GXTXAYB"; 
+  
+    int m = strlen(X); 
+    int n = strlen(Y); 
+  
+    printf("Length of LCS is %d\n", lcs(X, Y, m, n)); 
+  
+    return 0; 
+} 
\ No newline at end of file
diff --git a/C++/PrimeSeive.cpp b/C++/PrimeSeive.cpp
new file mode 100644
index 00000000..110dfff8
--- /dev/null
+++ b/C++/PrimeSeive.cpp
@@ -0,0 +1,44 @@
+#include<iostream>
+using namespace std;
+void primeSieve(int *p,int n){
+    int i;
+    for(i=2;i<=5000000; i++)
+    {
+        p[i]=1;
+    }
+    
+    for(i=2;i<=5000000;i++)
+    {
+        if(p[i]==1)
+        {
+            
+            for(int j=i*i;j<=5000000;j+=i)
+            {
+                p[j]=0;
+            }
+        }
+    }
+    p[1]=0;
+    p[0]=0;   
+    return ;
+}
+int main() {
+    int arr[5000001] = {0};
+    int n;
+    cin>>n;
+    int counter = 0;
+    primeSieve(arr,n);
+    for(int i=0;i<=5000000;i++)
+    {
+        if(arr[i]==1)
+        {
+            counter++;
+        }
+        if(counter==n){
+            cout << i;
+            break;
+        }
+    }
+    
+    return 0;
+}
diff --git a/C++/QuickSort-optimised.cpp b/C++/QuickSort-optimised.cpp
new file mode 100644
index 00000000..39dfb970
--- /dev/null
+++ b/C++/QuickSort-optimised.cpp
@@ -0,0 +1,66 @@
+#include<iostream> 
+using namespace std; 
+
+void swap(int* a, int* b)  
+{  
+    int t = *a;  
+    *a = *b;  
+    *b = t;  
+}  
+int partition (int arr[], int low, int high)  
+{  
+    int pivot = arr[high]; // pivot  
+    int i = (low - 1); // Index of smaller element  
+  
+    for (int j = low; j <= high - 1; j++)  
+    {  
+        // If current element is smaller than the pivot  
+        if (arr[j] < pivot)  
+        {  
+            i++; // increment index of smaller element  
+            swap(&arr[i], &arr[j]);  
+        }  
+    }  
+    swap(&arr[i + 1], &arr[high]);  
+    return (i + 1);  
+}  
+void quickSort(int arr[], int low, int high)  
+{  
+    if (low < high)  
+    {  
+        /* pi is partitioning index, arr[p] is now  
+        at right place */
+        int pi = partition(arr, low, high);  
+  
+        // Separately sort elements before  
+        // partition and after partition
+        // If left part is smaller, then recur for left 
+        // part and handle right part iteratively 
+        if (pi - low < high - pi)
+        {
+                    quickSort(arr, low, pi - 1);
+                    low = pi + 1;
+        }
+        else
+        {
+                    quickSort(arr, pi + 1, high);
+                    high = pi - 1;
+        }  
+    }  
+}
+void print(int arr[], int n) 
+{ 
+    for (int i = 0; i < n; i++) 
+        cout << arr[i] << " "; 
+} 
+ 
+int main() 
+{ 
+    int n;
+    cin >> n;
+    int a[1000];
+    for(int i = 0; i < n; i++) cin >> a[i];
+    quickSort(a, 0, n - 1);
+    print(a, n); 
+    return 0; 
+} 
diff --git a/C++/QuickSort.cpp b/C++/QuickSort.cpp
new file mode 100644
index 00000000..f997ac4e
--- /dev/null
+++ b/C++/QuickSort.cpp
@@ -0,0 +1,56 @@
+#include<iostream> 
+using namespace std; 
+
+void swap(int* a, int* b)  
+{  
+    int t = *a;  
+    *a = *b;  
+    *b = t;  
+}  
+int partition (int arr[], int low, int high)  
+{  
+    int pivot = arr[high]; // pivot  
+    int i = (low - 1); // Index of smaller element  
+  
+    for (int j = low; j <= high - 1; j++)  
+    {  
+        // If current element is smaller than the pivot  
+        if (arr[j] < pivot)  
+        {  
+            i++; // increment index of smaller element  
+            swap(&arr[i], &arr[j]);  
+        }  
+    }  
+    swap(&arr[i + 1], &arr[high]);  
+    return (i + 1);  
+}  
+void quickSort(int arr[], int low, int high)  
+{  
+    if (low < high)  
+    {  
+        /* pi is partitioning index, arr[p] is now  
+        at right place */
+        int pi = partition(arr, low, high);  
+  
+        // Separately sort elements before  
+        // partition and after partition  
+        quickSort(arr, low, pi - 1);  
+        quickSort(arr, pi + 1, high);  
+    }  
+}
+void print(int arr[], int n) 
+{ 
+	for (int i = 0; i < n; i++) 
+		cout << arr[i] << " "; 
+} 
+ 
+int main() 
+{ 
+	int n;
+	cin >> n;
+	int a[1000];
+	for(int i = 0; i < n; i++) cin >> a[i];
+	quickSort(a, 0, n - 1);
+	print(a, n); 
+	return 0; 
+} 
diff --git a/C++/RadixSort.cpp b/C++/RadixSort.cpp
new file mode 100644
index 00000000..81222398
--- /dev/null
+++ b/C++/RadixSort.cpp
@@ -0,0 +1,60 @@
+// C++ implementation of Radix Sort 
+#include<iostream> 
+using namespace std; 
+
+int getMax(int arr[], int n) 
+{ 
+	int mx = arr[0]; 
+	for (int i = 1; i < n; i++) 
+		if (arr[i] > mx) 
+			mx = arr[i]; 
+	return mx; 
+} 
+
+void countSort(int arr[], int n, int exp) 
+{ 
+	int output[n];
+	int i, count[10] = {0}; 
+
+	for (i = 0; i < n; i++) 
+		count[ (arr[i]/exp)%10 ]++; 
+
+
+	for (i = 1; i < 10; i++) 
+		count[i] += count[i - 1]; 
+
+	for (i = n - 1; i >= 0; i--) 
+	{ 
+		output[count[ (arr[i]/exp)%10 ] - 1] = arr[i]; 
+		count[ (arr[i]/exp)%10 ]--; 
+	} 
+ 
+	for (i = 0; i < n; i++) 
+		arr[i] = output[i]; 
+} 
+
+ 
+void radixsort(int arr[], int n) 
+{ 
+
+	int m = getMax(arr, n); 
+
+	for (int exp = 1; m/exp > 0; exp *= 10) 
+		countSort(arr, n, exp); 
+} 
+void print(int arr[], int n) 
+{ 
+	for (int i = 0; i < n; i++) 
+		cout << arr[i] << " "; 
+} 
+ 
+int main() 
+{ 
+	int n;
+	cin >> n;
+	int a[1000];
+	for(int i = 0; i < n; i++) cin >> a[i];
+	radixsort(a, n); 
+	print(a, n); 
+	return 0; 
+} 
diff --git a/C++/RegexMatching.cpp b/C++/RegexMatching.cpp
new file mode 100644
index 00000000..880342c5
--- /dev/null
+++ b/C++/RegexMatching.cpp
@@ -0,0 +1,18 @@
+#include<iostream>
+#include<regex>
+
+using namespace std;
+
+int main()
+{
+	//the string that will be matched with the regex
+	string s;
+	cin >> s;
+	
+	if(regex_match(s, regex("(str)(.*)"))
+		cout << "the entered string contains 'str'";
+	else
+		cout << "there was no match between the entered string and 'str'";
+
+	return 0;
+}
diff --git a/C++/SieveOfEratosthenes.cpp b/C++/SieveOfEratosthenes.cpp
index 6f5afc09..c5d1d09a 100644
--- a/C++/SieveOfEratosthenes.cpp
+++ b/C++/SieveOfEratosthenes.cpp
@@ -1,36 +1,36 @@
-#include <iostream>
-#include <stdbool.h>
-#include <cstring>
-#include <conio.h>
-
-using namespace std;
-
-void SieveOfEratosthenes(int n)
-{
-	long int i,p;
-	bool arr[n+1];
-	memset(arr,true,sizeof(arr));
-	for(i=2;i*i<=n;i++)
-	{
-		if(arr[i]==true)
-		{
-			for(p=i*i;p<=n;p=p+i)
-			{
-				arr[p]=false;
-			}
-		}
-	}
-	for(i=2;i<=n;i++)
-	{
-		if(arr[i]==true)
-		cout<<i<<endl;
-	}
-}
-int main()
-{
-	long int x;
-	cin>>x;
-	SieveOfEratosthenes(x);
-	getch();
-	return (0);
-}
+#include <iostream>
+#include <stdbool.h>
+#include <cstring>
+#include <conio.h>
+
+using namespace std;
+
+void SieveOfEratosthenes(int n)
+{
+	long int i,p;
+	bool arr[n+1];
+	memset(arr,true,sizeof(arr));
+	for(i=2;i*i<=n;i++)
+	{
+		if(arr[i]==true)
+		{
+			for(p=i*i;p<=n;p=p+i)
+			{
+				arr[p]=false;
+			}
+		}
+	}
+	for(i=2;i<=n;i++)
+	{
+		if(arr[i]==true)
+		cout<<i<<endl;
+	}
+}
+int main()
+{
+	long int x;
+	cin>>x;
+	SieveOfEratosthenes(x);
+	getch();
+	return (0);
+}
diff --git a/C++/Trapping Rain Water b/C++/Trapping Rain Water
new file mode 100644
index 00000000..6d6d864e
--- /dev/null
+++ b/C++/Trapping Rain Water	
@@ -0,0 +1,36 @@
+#include<bits/stdc++.h>
+using namespace std;
+
+int main()
+{
+  int n;
+  cin>>n;
+   int arr[n];
+
+   for(int i = 0 ; i < n ; i++)
+    cin>>arr[i];
+
+    int left[n];
+    int right[n];
+
+    left[0]=arr[0];
+
+    for(int i = 1; i < n ; i++)
+       { left[i] = max(left[i-1],arr[i]);
+          
+       }
+    right[n-1] = arr[n-1];
+
+     for(int i = n-2; i>=0; i--)
+        right[i] = max(right[i+1],arr[i]);
+
+     int water = 0 ;
+
+     for(int i = 0 ; i < n ; i++)
+       {
+           water += min(left[i],right[i])-arr[i];
+       }
+      
+     cout<<water<<endl;
+
+}
diff --git a/C++/Vector.cpp b/C++/Vector.cpp
index 76044201..804aa46f 100644
--- a/C++/Vector.cpp
+++ b/C++/Vector.cpp
@@ -1,13 +1,21 @@
-#include <iostream>
-#include <vector>
-#include <algorithm>
+#include <bits/stdc++.h>
 
 using namespace std;
 
 int main()
 {
     //Program to study vectors and see its different functions use
-    vector<int> v;
+   // vector<int> v;
+       vector<int> v;
+    vector<int> arr{ 1, 5, 8, 9, 6, 7, 3, 4, 2, 0 }; 
+  
+    sort(arr.begin(), arr.end()); 
+  
+    cout << "Sorted \n"; 
+    for (int i=0;i<arr.size();i++) 
+       { cout <<arr[i]<< " "; }
+       cout<<"\n";
+    
     int n;
     v.reserve(469);
     cin>>n;
@@ -20,3 +28,4 @@ int main()
 
     return 0;
 }
+
diff --git a/C++/VertexCoverProblem.cpp b/C++/VertexCoverProblem.cpp
new file mode 100644
index 00000000..75d9c78c
--- /dev/null
+++ b/C++/VertexCoverProblem.cpp
@@ -0,0 +1,86 @@
+// Program to print Vertex Cover of a given undirected graph 
+#include<iostream> 
+#include <list> 
+using namespace std; 
+
+// This class represents a undirected graph using adjacency list 
+class Graph 
+{ 
+	int V; // No. of vertices 
+	list<int> *adj; // Pointer to an array containing adjacency lists 
+public: 
+	Graph(int V); // Constructor 
+	void addEdge(int v, int w); // function to add an edge to graph 
+	void printVertexCover(); // prints vertex cover 
+}; 
+
+Graph::Graph(int V) 
+{ 
+	this->V = V; 
+	adj = new list<int>[V]; 
+} 
+
+void Graph::addEdge(int v, int w) 
+{ 
+	adj[v].push_back(w); // Add w to v’s list. 
+	adj[w].push_back(v); // Since the graph is undirected 
+} 
+
+// The function to print vertex cover 
+void Graph::printVertexCover() 
+{ 
+	// Initialize all vertices as not visited. 
+	bool visited[V]; 
+	for (int i=0; i<V; i++) 
+		visited[i] = false; 
+
+	list<int>::iterator i; 
+
+	// Consider all edges one by one 
+	for (int u=0; u<V; u++) 
+	{ 
+		// An edge is only picked when both visited[u] and visited[v] 
+		// are false 
+		if (visited[u] == false) 
+		{ 
+			// Go through all adjacents of u and pick the first not 
+			// yet visited vertex (We are basically picking an edge 
+			// (u, v) from remaining edges. 
+			for (i= adj[u].begin(); i != adj[u].end(); ++i) 
+			{ 
+				int v = *i; 
+				if (visited[v] == false) 
+				{ 
+					// Add the vertices (u, v) to the result set. 
+					// We make the vertex u and v visited so that 
+					// all edges from/to them would be ignored 
+					visited[v] = true; 
+					visited[u] = true; 
+					break; 
+				} 
+			} 
+		} 
+	} 
+
+	// Print the vertex cover 
+	for (int i=0; i<V; i++) 
+		if (visited[i]) 
+		cout << i << " "; 
+} 
+
+// Driver program to test methods of graph class 
+int main() 
+{ 
+	// Create a graph given in the above diagram 
+	Graph g(7); 
+	g.addEdge(0, 1); 
+	g.addEdge(0, 2); 
+	g.addEdge(1, 3); 
+	g.addEdge(3, 4); 
+	g.addEdge(4, 5); 
+	g.addEdge(5, 6); 
+
+	g.printVertexCover(); 
+
+	return 0; 
+} 
diff --git a/C++/balanced_parentheses_check.cpp b/C++/balanced_parentheses_check.cpp
new file mode 100644
index 00000000..440ec588
--- /dev/null
+++ b/C++/balanced_parentheses_check.cpp
@@ -0,0 +1,96 @@
+#include <stack>
+#include <string>
+#include <assert.h>
+
+/**
+   * Predicate test if string contains balanced brackets
+   * @param string to be tested
+   * @return bool
+*/
+bool stringBracketIsBalancedCheck(const std::string& input_string) {
+
+	char left_bracket, right_bracket;
+	std::stack<char> bracket_stack;
+
+	//parse the string for parentheses (right to left)
+	for (int i = input_string.length(); i >= 0; --i)
+	{
+		char ch = input_string[i];
+		if (ch == '(' || ch == ')') bracket_stack.push(ch);
+	}
+
+	//stack must have an even number of elements
+	if (bracket_stack.size() % 2 != 0) return false;
+
+	while (bracket_stack.size())
+	{
+		//pull the first element - must be a left bracket
+		left_bracket = bracket_stack.top();
+		if (left_bracket != '(') return false;
+	
+		//remove the left bracket from the stack
+		bracket_stack.pop();
+
+		std::stack<char> temp_stack;
+		
+		//find the first right bracket
+		while (bracket_stack.size())
+		{
+			char top_value = bracket_stack.top();
+			if (top_value == ')')
+			{
+				//remove the right bracket from the original stack
+				bracket_stack.pop();
+				//push all the temp_stack values back onto the original stack maintaining the order
+				while (temp_stack.size()) 
+				{
+					bracket_stack.push(temp_stack.top());
+					temp_stack.pop();
+				}
+				break;
+			}
+			else
+			{
+				//if not a right bracket, push onto the temporary stack and pop from original
+				temp_stack.push(bracket_stack.top());
+				bracket_stack.pop();
+				//if all the chars in the original stack are not the right bracket = unbalanced
+				if (bracket_stack.size() == 0)
+					return false;
+			}
+		}
+	}
+	return true;
+}
+
+
+// Driver  code with unit tests
+int main()
+{
+	//test with no strings
+	assert(stringBracketIsBalancedCheck("") == true);
+
+	//test with one bracket
+	assert(stringBracketIsBalancedCheck("(") == false);
+	assert(stringBracketIsBalancedCheck(")") == false);
+
+
+	//test with two brackets
+	assert(stringBracketIsBalancedCheck("()") == true);
+	assert(stringBracketIsBalancedCheck("((") == false);
+	assert(stringBracketIsBalancedCheck(")(") == false);
+
+	//test with two nested brackets
+	assert(stringBracketIsBalancedCheck("(())") == true);
+	assert(stringBracketIsBalancedCheck("()()") == true);
+	
+	//tests with n brackets
+	assert(stringBracketIsBalancedCheck("(())") == true);
+	assert(stringBracketIsBalancedCheck("(()()()()())") == true);
+	assert(stringBracketIsBalancedCheck("(()()()()()") == false);
+	assert(stringBracketIsBalancedCheck("((((((()))))))") == true);
+	assert(stringBracketIsBalancedCheck("((((((())))))") == false);
+	assert(stringBracketIsBalancedCheck("((((((()))))()") == false);
+	
+	return 0;
+}
\ No newline at end of file
diff --git a/C++/catalanNumbers.cpp b/C++/catalanNumbers.cpp
new file mode 100644
index 00000000..eeea75d9
--- /dev/null
+++ b/C++/catalanNumbers.cpp
@@ -0,0 +1,21 @@
+#include<iostream>
+#include<assert.h>
+using namespace std;
+
+unsigned long int catalanDP(unsigned int n)
+{
+	unsigned long int catalan[n+1];
+
+	catalan[0] = catalan[1] = 1;
+	for (int i=2; i<=n; i++)
+	{
+		catalan[i] = 0;
+		for (int j=0; j<i; j++)
+			catalan[i] += catalan[j] * catalan[i-j-1];
+	}
+	return catalan[n];
+}
+
+int main(){
+	assert(catalanDP(9) == 4862);
+}
diff --git a/C++/dijkstras.cpp b/C++/dijkstras.cpp
new file mode 100644
index 00000000..ac37120e
--- /dev/null
+++ b/C++/dijkstras.cpp
@@ -0,0 +1,64 @@
+#include<bits/stdc++.h>
+
+using namespace std;
+
+int findmin(vector<int> dist,int N,std::vector<int> &freq){
+  int mint;
+  for(int i=0;i<N;i++){if(freq[i] == 0){mint = i;break;}}
+  for(int i=0;((i<N));i++){
+    if((freq[i]==0)){
+    if(dist[mint]>dist[i]){mint = i;}
+  }
+  }
+  freq[mint] = 1;
+  return mint;
+}
+
+void printvector(std::vector<int> v,int N){
+  for(int i=0;i<N;i++)cout<<v[i]<<' ';
+  cout<<endl;
+}
+void dijkstras(vector<int> &dist,std::vector<std::vector<int> > l,vector<int> &prev,int N){
+  // printvector(dist,N);
+  vector<int> freq;
+  for(int i=0;i<N;i++){freq.push_back(0);}
+  dist[0] = 0;
+  for(int j=0;j<N;j++){
+    int u = findmin(dist,N,freq);
+    for(int i=0;i<N;i++){
+      if(l[u][i] != -1){
+        if(dist[i] > (dist[u] + l[u][i])){
+          dist[i] = (dist[u] + l[u][i]);
+          prev[i] = u;
+        }
+      }
+    }
+    // printvector(dist,N);
+  }
+}
+int main(){
+  int N;cin>>N;
+  vector<int> dist,prev;
+  vector<vector<int>> l;
+  int E;cin>>E;
+
+  vector<int> temp;
+  for(int i =0;i<N;i++){
+    temp.push_back(-1);
+    dist.push_back(INT_MAX);
+    prev.push_back(-1);
+  }
+  for(int i=0;i<N;i++){
+    l.push_back(temp);
+  }
+
+  for(int i=0;i<E;i++){
+    int a,b,d;cin>>a>>b>>d; //format is a --(d)--> b represents an edge
+    l[a-1][b-1] = d;
+    // l[b][a] = d;
+  }
+
+  dijkstras(dist,l,prev,N);
+
+  printvector(prev,N);
+}
diff --git a/C++/egg_dropping.cpp b/C++/egg_dropping.cpp
new file mode 100644
index 00000000..ff386dda
--- /dev/null
+++ b/C++/egg_dropping.cpp
@@ -0,0 +1,39 @@
+#include<bits/stdc++.h> 
+using namespace std; 
+  
+ 
+int max(int a, int b) { return (a > b)? a: b; } 
+  
+
+int eggDrop(int n, int k) 
+{ 
+    
+    if (k == 1 || k == 0) 
+        return k; 
+  
+    
+    if (n == 1) 
+        return k; 
+  
+    int min = INT_MAX, x, res; 
+  
+    
+    for (x = 1; x <= k; x++) 
+    { 
+        res = max(eggDrop(n-1, x-1), eggDrop(n, k-x)); 
+        if (res < min) 
+            min = res; 
+    } 
+  
+    return min + 1; 
+} 
+  
+
+int main() 
+{ 
+    int n = 2, k = 10; 
+    cout << "Minimum number of trials in worst case with "
+         << n << " eggs and " << k << " floors is " 
+         << eggDrop(n, k) << endl; 
+    return 0; 
+} 
diff --git a/C++/elulerian_graph.cpp b/C++/elulerian_graph.cpp
new file mode 100644
index 00000000..4af085b1
--- /dev/null
+++ b/C++/elulerian_graph.cpp
@@ -0,0 +1,150 @@
+#include<iostream> 
+#include <list> 
+using namespace std; 
+  
+
+class Graph 
+{ 
+    int V;    
+    list<int> *adj;    
+public: 
+    // Constructor and destructor 
+    Graph(int V)   {this->V = V; adj = new list<int>[V]; } 
+    ~Graph() { delete [] adj; } 
+  
+    
+    void addEdge(int v, int w); 
+  
+     
+    int isEulerian(); 
+  
+    
+    bool isConnected(); 
+  
+    
+    void DFSUtil(int v, bool visited[]); 
+}; 
+  
+void Graph::addEdge(int v, int w) 
+{ 
+    adj[v].push_back(w); 
+    adj[w].push_back(v);  
+} 
+  
+void Graph::DFSUtil(int v, bool visited[]) 
+{ 
+    
+    visited[v] = true; 
+  
+    
+    list<int>::iterator i; 
+    for (i = adj[v].begin(); i != adj[v].end(); ++i) 
+        if (!visited[*i]) 
+            DFSUtil(*i, visited); 
+} 
+  
+
+bool Graph::isConnected() 
+{ 
+    
+    bool visited[V]; 
+    int i; 
+    for (i = 0; i < V; i++) 
+        visited[i] = false; 
+  
+    
+    for (i = 0; i < V; i++) 
+        if (adj[i].size() != 0) 
+            break; 
+  
+   
+    if (i == V) 
+        return true; 
+  
+   
+    DFSUtil(i, visited); 
+  
+    
+    for (i = 0; i < V; i++) 
+       if (visited[i] == false && adj[i].size() > 0) 
+            return false; 
+  
+    return true; 
+} 
+  
+
+int Graph::isEulerian() 
+{ 
+    
+    if (isConnected() == false) 
+        return 0; 
+  
+   
+    int odd = 0; 
+    for (int i = 0; i < V; i++) 
+        if (adj[i].size() & 1) 
+            odd++; 
+  
+    
+    if (odd > 2) 
+        return 0; 
+  
+    return (odd)? 1 : 2; 
+} 
+  
+
+void test(Graph &g) 
+{ 
+    int res = g.isEulerian(); 
+    if (res == 0) 
+        cout << "graph is not Eulerian\n"; 
+    else if (res == 1) 
+        cout << "graph has a Euler path\n"; 
+    else
+        cout << "graph has a Euler cycle\n"; 
+} 
+  
+
+int main() 
+{ 
+    
+    Graph g1(5); 
+    g1.addEdge(1, 0); 
+    g1.addEdge(0, 2); 
+    g1.addEdge(2, 1); 
+    g1.addEdge(0, 3); 
+    g1.addEdge(3, 4); 
+    test(g1); 
+  
+    Graph g2(5); 
+    g2.addEdge(1, 0); 
+    g2.addEdge(0, 2); 
+    g2.addEdge(2, 1); 
+    g2.addEdge(0, 3); 
+    g2.addEdge(3, 4); 
+    g2.addEdge(4, 0); 
+    test(g2); 
+  
+    Graph g3(5); 
+    g3.addEdge(1, 0); 
+    g3.addEdge(0, 2); 
+    g3.addEdge(2, 1); 
+    g3.addEdge(0, 3); 
+    g3.addEdge(3, 4); 
+    g3.addEdge(1, 3); 
+    test(g3); 
+  
+    
+    Graph g4(3); 
+    g4.addEdge(0, 1); 
+    g4.addEdge(1, 2); 
+    g4.addEdge(2, 0); 
+    test(g4); 
+  
+   
+    Graph g5(3); 
+    test(g5); 
+  
+    return 0; 
+} 
+
diff --git a/C++/euler_totient_func.cpp b/C++/euler_totient_func.cpp
new file mode 100644
index 00000000..35d37836
--- /dev/null
+++ b/C++/euler_totient_func.cpp
@@ -0,0 +1,43 @@
+#include<cstdio>
+#include<iostream>
+
+int phi[1000006], prime[1000006]; 
+void sievephi(int n) 
+{
+    int i,j;
+
+    for(i=1; i<=n; i++) phi[i]=i; 
+
+    phi[1]=1;  
+    prime[1]=1; 
+
+    for(i=2; i<=n; i++)
+    {
+        if(!prime[i])   
+        {
+            for(j=i;j<=n; j+=i)
+            {
+                prime[j+i]=1;   
+                phi[j]=(phi[j]/i)*(i-1);    
+                                            
+            }
+        }
+    }
+}
+
+
+int main()
+{
+    int i,n=10;
+    sievephi(n);
+
+    for(i=1; i<=n; i++)
+        if(!prime[i])
+        printf("%d ", i);
+    printf("\n");
+
+    for(i=1; i<=n; i++)
+        printf("%d = %d\n", i, phi[i]);
+
+    return 0;
+}
diff --git a/C++/heapSort b/C++/heapSort
new file mode 100644
index 00000000..ef4f8b97
--- /dev/null
+++ b/C++/heapSort
@@ -0,0 +1,67 @@
+// C++ Program for implementation of heap Sort
+// Heap sort is a comparison based sorting technique based on Binary Heap data structure.
+// The best,worst and average time complexity of heap sort is O(nLogn).
+// Heap sort is an in-place algorithm.
+
+#include <iostream>
+
+using namespace std;
+// function to heapify the tree
+void heapify(int arr[], int n, int root)
+{
+   int largest = root; // root is the largest element
+   int l = 2*root + 1; // left = 2*root + 1
+   int r = 2*root + 2; // right = 2*root + 2
+  
+   // If left child is larger than root
+   if (l < n && arr[l] > arr[largest])
+   largest = l;
+   // If right child is larger than largest so far
+   if (r < n && arr[r] > arr[largest])
+   largest = r;
+   // If largest is not root
+   if (largest != root)
+      {
+      //swap root and largest
+      swap(arr[root], arr[largest]);
+      // Recursively heapify the sub-tree
+      heapify(arr, n, largest);
+      }
+}
+
+// implementing heap sort
+void heapSort(int arr[], int n)
+{
+   // build heap
+   for (int i = n / 2 - 1; i >= 0; i--)
+   heapify(arr, n, i);
+   // extracting elements from heap one by one
+   for (int i=n-1; i>=0; i--)
+   {
+      // Move current root to end
+      swap(arr[0], arr[i]);
+      // again call max heapify on the reduced heap
+      heapify(arr, i, 0);
+   }
+}
+
+/* print contents of array - utility function */
+
+void displayArray(int arr[], int n)
+{
+   for (int i=0; i<n; ++i)
+   cout << arr[i] << " ";
+   cout << "\n";
+}
+// main program
+int main()
+{
+   int heap_arr[] = {14,7,8,2,9,16};
+   int n = sizeof(heap_arr)/sizeof(heap_arr[0]);
+   cout<<"Input array"<<endl;
+   displayArray(heap_arr,n);
+   heapSort(heap_arr, n);
+   cout << "Sorted array"<<endl;
+   displayArray(heap_arr, n);
+}
+
diff --git a/C++/huffman coding.cpp b/C++/huffman coding.cpp
new file mode 100644
index 00000000..eb4f0d03
--- /dev/null
+++ b/C++/huffman coding.cpp	
@@ -0,0 +1,283 @@
+
+#include <iostream> 
+#include <cstdlib> 
+using namespace std; 
+
+
+#define MAX_TREE_HT 100 
+
+
+struct MinHeapNode { 
+
+
+	char data; 
+
+ 
+	unsigned freq; 
+
+	
+	struct MinHeapNode *left, *right; 
+}; 
+
+
+struct MinHeap { 
+
+	unsigned size; 
+
+	unsigned capacity; 
+
+
+	struct MinHeapNode** array; 
+}; 
+
+struct MinHeapNode* newNode(char data, unsigned freq) 
+{ 
+	struct MinHeapNode* temp 
+		= (struct MinHeapNode*)malloc
+(sizeof(struct MinHeapNode)); 
+
+	temp->left = temp->right = NULL; 
+	temp->data = data; 
+	temp->freq = freq; 
+
+	return temp; 
+} 
+
+
+struct MinHeap* createMinHeap(unsigned capacity) 
+
+{ 
+
+	struct MinHeap* minHeap 
+		= (struct MinHeap*)malloc(sizeof(struct MinHeap)); 
+
+	// current size is 0 
+	minHeap->size = 0; 
+
+	minHeap->capacity = capacity; 
+
+	minHeap->array 
+		= (struct MinHeapNode**)malloc(minHeap-> 
+capacity * sizeof(struct MinHeapNode*)); 
+	return minHeap; 
+} 
+
+// A utility function to 
+// swap two min heap nodes 
+void swapMinHeapNode(struct MinHeapNode** a, 
+					struct MinHeapNode** b) 
+
+{ 
+
+	struct MinHeapNode* t = *a; 
+	*a = *b; 
+	*b = t; 
+} 
+
+// The standard minHeapify function. 
+void minHeapify(struct MinHeap* minHeap, int idx) 
+
+{ 
+
+	int smallest = idx; 
+	int left = 2 * idx + 1; 
+	int right = 2 * idx + 2; 
+
+	if (left < minHeap->size && minHeap->array[left]-> 
+freq < minHeap->array[smallest]->freq) 
+		smallest = left; 
+
+	if (right < minHeap->size && minHeap->array[right]-> 
+freq < minHeap->array[smallest]->freq) 
+		smallest = right; 
+
+	if (smallest != idx) { 
+		swapMinHeapNode(&minHeap->array[smallest], 
+						&minHeap->array[idx]); 
+		minHeapify(minHeap, smallest); 
+	} 
+} 
+
+// A utility function to check 
+// if size of heap is 1 or not 
+int isSizeOne(struct MinHeap* minHeap) 
+{ 
+
+	return (minHeap->size == 1); 
+} 
+
+// A standard function to extract 
+// minimum value node from heap 
+struct MinHeapNode* extractMin(struct MinHeap* minHeap) 
+
+{ 
+
+	struct MinHeapNode* temp = minHeap->array[0]; 
+	minHeap->array[0] 
+		= minHeap->array[minHeap->size - 1]; 
+
+	--minHeap->size; 
+	minHeapify(minHeap, 0); 
+
+	return temp; 
+} 
+
+// A utility function to insert 
+// a new node to Min Heap 
+void insertMinHeap(struct MinHeap* minHeap, 
+				struct MinHeapNode* minHeapNode) 
+
+{ 
+
+	++minHeap->size; 
+	int i = minHeap->size - 1; 
+
+	while (i && minHeapNode->freq < minHeap->array[(i - 1) / 2]->freq) { 
+
+		minHeap->array[i] = minHeap->array[(i - 1) / 2]; 
+		i = (i - 1) / 2; 
+	} 
+
+	minHeap->array[i] = minHeapNode; 
+} 
+
+// A standard function to build min heap 
+void buildMinHeap(struct MinHeap* minHeap) 
+
+{ 
+
+	int n = minHeap->size - 1; 
+	int i; 
+
+	for (i = (n - 1) / 2; i >= 0; --i) 
+		minHeapify(minHeap, i); 
+} 
+
+// A utility function to print an array of size n 
+void printArr(int arr[], int n) 
+{ 
+	int i; 
+	for (i = 0; i < n; ++i) 
+		cout<< arr[i]; 
+
+	cout<<"\n"; 
+} 
+
+// Utility function to check if this node is leaf 
+int isLeaf(struct MinHeapNode* root) 
+
+{ 
+
+	return !(root->left) && !(root->right); 
+} 
+
+
+struct MinHeap* createAndBuildMinHeap(char data[], int freq[], int size) 
+
+{ 
+
+	struct MinHeap* minHeap = createMinHeap(size); 
+
+	for (int i = 0; i < size; ++i) 
+		minHeap->array[i] = newNode(data[i], freq[i]); 
+
+	minHeap->size = size; 
+	buildMinHeap(minHeap); 
+
+	return minHeap; 
+} 
+
+// The main function that builds Huffman tree 
+struct MinHeapNode* buildHuffmanTree(char data[], int freq[], int size) 
+
+{ 
+	struct MinHeapNode *left, *right, *top; 
+
+	// Step 1: Create a min heap of capacity 
+	// equal to size. Initially, there are 
+	// modes equal to size. 
+	struct MinHeap* minHeap = createAndBuildMinHeap(data, freq, size); 
+
+	// Iterate while size of heap doesn't become 1 
+	while (!isSizeOne(minHeap)) { 
+
+		// Step 2: Extract the two minimum 
+		// freq items from min heap 
+		left = extractMin(minHeap); 
+		right = extractMin(minHeap); 
+
+
+		top = newNode('$', left->freq + right->freq); 
+
+		top->left = left; 
+		top->right = right; 
+
+		insertMinHeap(minHeap, top); 
+	} 
+
+	// Step 4: The remaining node is the 
+	// root node and the tree is complete. 
+	return extractMin(minHeap); 
+} 
+
+// Prints huffman codes from the root of Huffman Tree. 
+// It uses arr[] to store codes 
+void printCodes(struct MinHeapNode* root, int arr[], int top) 
+
+{ 
+
+	// Assign 0 to left edge and recur 
+	if (root->left) { 
+
+		arr[top] = 0; 
+		printCodes(root->left, arr, top + 1); 
+	} 
+
+	// Assign 1 to right edge and recur 
+	if (root->right) { 
+
+		arr[top] = 1; 
+		printCodes(root->right, arr, top + 1); 
+	} 
+
+	// If this is a leaf node, then 
+	// it contains one of the input 
+	// characters, print the character 
+	// and its code from arr[] 
+	if (isLeaf(root)) { 
+
+		cout<< root->data <<": "; 
+		printArr(arr, top); 
+	} 
+} 
+
+// The main function that builds a 
+// Huffman Tree and print codes by traversing 
+// the built Huffman Tree 
+void HuffmanCodes(char data[], int freq[], int size) 
+
+{ 
+	// Construct Huffman Tree 
+	struct MinHeapNode* root 
+		= buildHuffmanTree(data, freq, size); 
+
+	// Print Huffman codes using 
+	// the Huffman tree built above 
+	int arr[MAX_TREE_HT], top = 0; 
+
+	printCodes(root, arr, top); 
+} 
+
+// Driver program to test above functions 
+int main() 
+{ 
+
+	char arr[] = { 'a', 'b', 'c', 'd', 'e', 'f' }; 
+	int freq[] = { 5, 9, 12, 13, 16, 45 }; 
+
+	int size = sizeof(arr) / sizeof(arr[0]); 
+
+	HuffmanCodes(arr, freq, size); 
+
+	return 0; 
+} 
diff --git a/C++/huffman_coding.cpp b/C++/huffman_coding.cpp
new file mode 100644
index 00000000..661c457a
--- /dev/null
+++ b/C++/huffman_coding.cpp
@@ -0,0 +1,269 @@
+#include <iostream> 
+#include <cstdlib> 
+using namespace std; 
+  
+
+#define MAX_TREE_HT 100 
+  
+
+struct MinHeapNode { 
+  
+    
+    char data; 
+  
+    
+    unsigned freq; 
+  
+    
+    struct MinHeapNode *left, *right; 
+}; 
+  
+
+struct MinHeap { 
+  
+    
+    unsigned size; 
+  
+    
+    unsigned capacity; 
+  
+    
+    struct MinHeapNode** array; 
+}; 
+  
+
+struct MinHeapNode* newNode(char data, unsigned freq) 
+{ 
+    struct MinHeapNode* temp 
+        = (struct MinHeapNode*)malloc
+(sizeof(struct MinHeapNode)); 
+  
+    temp->left = temp->right = NULL; 
+    temp->data = data; 
+    temp->freq = freq; 
+  
+    return temp; 
+} 
+  
+
+struct MinHeap* createMinHeap(unsigned capacity) 
+  
+{ 
+  
+    struct MinHeap* minHeap 
+        = (struct MinHeap*)malloc(sizeof(struct MinHeap)); 
+  
+     
+    minHeap->size = 0; 
+  
+    minHeap->capacity = capacity; 
+  
+    minHeap->array 
+        = (struct MinHeapNode**)malloc(minHeap-> 
+capacity * sizeof(struct MinHeapNode*)); 
+    return minHeap; 
+} 
+  
+
+void swapMinHeapNode(struct MinHeapNode** a, 
+                    struct MinHeapNode** b) 
+  
+{ 
+  
+    struct MinHeapNode* t = *a; 
+    *a = *b; 
+    *b = t; 
+} 
+  
+
+void minHeapify(struct MinHeap* minHeap, int idx) 
+  
+{ 
+  
+    int smallest = idx; 
+    int left = 2 * idx + 1; 
+    int right = 2 * idx + 2; 
+  
+    if (left < minHeap->size && minHeap->array[left]-> 
+freq < minHeap->array[smallest]->freq) 
+        smallest = left; 
+  
+    if (right < minHeap->size && minHeap->array[right]-> 
+freq < minHeap->array[smallest]->freq) 
+        smallest = right; 
+  
+    if (smallest != idx) { 
+        swapMinHeapNode(&minHeap->array[smallest], 
+                        &minHeap->array[idx]); 
+        minHeapify(minHeap, smallest); 
+    } 
+} 
+  
+
+int isSizeOne(struct MinHeap* minHeap) 
+{ 
+  
+    return (minHeap->size == 1); 
+} 
+  
+
+struct MinHeapNode* extractMin(struct MinHeap* minHeap) 
+  
+{ 
+  
+    struct MinHeapNode* temp = minHeap->array[0]; 
+    minHeap->array[0] 
+        = minHeap->array[minHeap->size - 1]; 
+  
+    --minHeap->size; 
+    minHeapify(minHeap, 0); 
+  
+    return temp; 
+} 
+  
+
+void insertMinHeap(struct MinHeap* minHeap, 
+                struct MinHeapNode* minHeapNode) 
+  
+{ 
+  
+    ++minHeap->size; 
+    int i = minHeap->size - 1; 
+  
+    while (i && minHeapNode->freq < minHeap->array[(i - 1) / 2]->freq) { 
+  
+        minHeap->array[i] = minHeap->array[(i - 1) / 2]; 
+        i = (i - 1) / 2; 
+    } 
+  
+    minHeap->array[i] = minHeapNode; 
+} 
+  
+
+void buildMinHeap(struct MinHeap* minHeap) 
+  
+{ 
+  
+    int n = minHeap->size - 1; 
+    int i; 
+  
+    for (i = (n - 1) / 2; i >= 0; --i) 
+        minHeapify(minHeap, i); 
+} 
+  
+
+void printArr(int arr[], int n) 
+{ 
+    int i; 
+    for (i = 0; i < n; ++i) 
+        cout<< arr[i]; 
+  
+    cout<<"\n"; 
+} 
+  
+
+int isLeaf(struct MinHeapNode* root) 
+  
+{ 
+  
+    return !(root->left) && !(root->right); 
+} 
+  
+
+struct MinHeap* createAndBuildMinHeap(char data[], int freq[], int size) 
+  
+{ 
+  
+    struct MinHeap* minHeap = createMinHeap(size); 
+  
+    for (int i = 0; i < size; ++i) 
+        minHeap->array[i] = newNode(data[i], freq[i]); 
+  
+    minHeap->size = size; 
+    buildMinHeap(minHeap); 
+  
+    return minHeap; 
+} 
+
+struct MinHeapNode* buildHuffmanTree(char data[], int freq[], int size) 
+  
+{ 
+    struct MinHeapNode *left, *right, *top; 
+  
+    
+    struct MinHeap* minHeap = createAndBuildMinHeap(data, freq, size); 
+  
+   
+    while (!isSizeOne(minHeap)) { 
+  
+        
+        left = extractMin(minHeap); 
+        right = extractMin(minHeap); 
+  
+        
+        top = newNode('$', left->freq + right->freq); 
+  
+        top->left = left; 
+        top->right = right; 
+  
+        insertMinHeap(minHeap, top); 
+    } 
+  
+     
+    return extractMin(minHeap); 
+} 
+  
+
+void printCodes(struct MinHeapNode* root, int arr[], int top) 
+  
+{ 
+  
+    
+    if (root->left) { 
+  
+        arr[top] = 0; 
+        printCodes(root->left, arr, top + 1); 
+    } 
+  
+     
+    if (root->right) { 
+  
+        arr[top] = 1; 
+        printCodes(root->right, arr, top + 1); 
+    } 
+  
+    
+    if (isLeaf(root)) { 
+  
+        cout<< root->data <<": "; 
+        printArr(arr, top); 
+    } 
+} 
+  
+
+void HuffmanCodes(char data[], int freq[], int size) 
+  
+{ 
+    
+    struct MinHeapNode* root 
+        = buildHuffmanTree(data, freq, size); 
+  
+    
+    int arr[MAX_TREE_HT], top = 0; 
+  
+    printCodes(root, arr, top); 
+} 
+  
+
+int main() 
+{ 
+  
+    char arr[] = { 'a', 'b', 'c', 'd', 'e', 'f' }; 
+    int freq[] = { 5, 9, 12, 13, 16, 45 }; 
+  
+    int size = sizeof(arr) / sizeof(arr[0]); 
+  
+    HuffmanCodes(arr, freq, size); 
+  
+    return 0; 
+} 
diff --git a/C++/insertionsort.cpp b/C++/insertionsort.cpp
new file mode 100644
index 00000000..a6dfbb99
--- /dev/null
+++ b/C++/insertionsort.cpp
@@ -0,0 +1,32 @@
+#include<iostream>
+using namespace std;
+int main()
+{
+    int n;
+    cout<<"Enter the length of the array : ";
+    cin>>n;
+    int a[n];
+    cout<<"Insert the elements to perform sorting... "<<endl;
+    for (int u = 0; u <n ; u++)
+    {
+        cout<<"Enter the "<<u+1<<" element : ";
+        cin>>a[u];
+    }
+
+
+    int j,key,i;
+    for (i = 1; i < n; i++)
+    {
+        key = a[i];
+        j = i - 1;
+        while (j>=0&& a[j]>key)
+        {
+            a[j + 1] = a[j];
+            j=j-1;
+        }
+        a[j+1]=key;
+    }
+    for (i = 0; i < n; i++)
+        cout<<a[i]<< " ";
+    return 0;
+}
diff --git a/C++/isBalanced.cpp b/C++/isBalanced.cpp
new file mode 100644
index 00000000..a5b7885d
--- /dev/null
+++ b/C++/isBalanced.cpp
@@ -0,0 +1,91 @@
+#include <iostream>
+#include <queue>
+
+using namespace std;
+
+template <typename T>
+class BinaryTreeNode {
+    public :
+    T data;
+    BinaryTreeNode<T> *left;
+    BinaryTreeNode<T> *right;
+
+    BinaryTreeNode(T data) {
+        this -> data = data;
+        left = NULL;
+        right = NULL;
+    }
+};
+
+int height(BinaryTreeNode<int> *root);
+
+bool isBalanced(BinaryTreeNode<int> *root) {
+    // Write your code here
+  if(root == NULL)
+    return true;
+  int hr = height(root->right);
+  int hl = height (root->left);
+  //bool flag = false;
+  if(hl-hr == -1 || hl-hr ==1 || hr-hl == 0)
+  {
+      bool i = isBalanced(root->left);
+      bool j = isBalanced(root->right);
+       if(i==true && j == true) //&& flag  )
+           return true;
+  }
+  else
+      return false;
+
+
+}
+int height(BinaryTreeNode<int> *root) {
+
+  if(root == NULL)
+    return 0;
+  int hl = height(root->left);
+  int hr = height(root->right);
+  if(hr>hl)
+    return hr+1;
+  else
+    return hl+1;
+}
+
+BinaryTreeNode<int>* takeInput() {
+    int rootData;
+    //cout << "Enter root data : ";
+    cin >> rootData;
+    if(rootData == -1) {
+        return NULL;
+    }
+    BinaryTreeNode<int> *root = new BinaryTreeNode<int>(rootData);
+    queue<BinaryTreeNode<int>*> q;
+    q.push(root);
+    while(!q.empty()) {
+        BinaryTreeNode<int> *currentNode = q.front();
+	q.pop();
+        int leftChild, rightChild;
+        //cout << "Enter left child of " << currentNode -> data << " : ";
+        cin >> leftChild;
+        if(leftChild != -1) {
+            BinaryTreeNode<int>* leftNode = new BinaryTreeNode<int>(leftChild);
+            currentNode -> left =leftNode;
+            q.push(leftNode);
+        }
+        //cout << "Enter right child of " << currentNode -> data << " : ";
+        cin >> rightChild;
+        if(rightChild != -1) {
+            BinaryTreeNode<int>* rightNode = new BinaryTreeNode<int>(rightChild);
+            currentNode -> right =rightNode;
+            q.push(rightNode);
+        }
+    }
+    return root;
+}
+
+int main() {
+    BinaryTreeNode<int>* root = takeInput();
+    if(isBalanced(root))
+    	cout << "true" << endl;
+    else
+	cout << "false" << endl;
+}
diff --git a/C++/job_sequencing.cpp b/C++/job_sequencing.cpp
new file mode 100644
index 00000000..fe4dcd0f
--- /dev/null
+++ b/C++/job_sequencing.cpp
@@ -0,0 +1,63 @@
+#include<iostream> 
+#include<algorithm> 
+using namespace std; 
+  
+
+struct Job 
+{ 
+   char id;      
+   int dead;    
+   int profit;  
+}; 
+  
+ 
+bool comparison(Job a, Job b) 
+{ 
+     return (a.profit > b.profit); 
+} 
+  
+
+void printJobScheduling(Job arr[], int n) 
+{ 
+  
+    sort(arr, arr+n, comparison); 
+  
+    int result[n]; 
+    bool slot[n];  
+  
+    
+    for (int i=0; i<n; i++) 
+        slot[i] = false; 
+  
+    
+    for (int i=0; i<n; i++) 
+    { 
+      
+       for (int j=min(n, arr[i].dead)-1; j>=0; j--) 
+       { 
+          
+          if (slot[j]==false) 
+          { 
+             result[j] = i;  
+             slot[j] = true; 
+             break; 
+          } 
+       } 
+    } 
+  
+   
+    for (int i=0; i<n; i++) 
+       if (slot[i]) 
+         cout << arr[result[i]].id << " "; 
+} 
+  
+
+int main() 
+{ 
+    Job arr[] = { {'a', 2, 100}, {'b', 1, 19}, {'c', 2, 27}, 
+                   {'d', 1, 25}, {'e', 3, 15}}; 
+    int n = sizeof(arr)/sizeof(arr[0]); 
+    cout << "Following is maximum profit sequence of jobsn"; 
+    printJobScheduling(arr, n); 
+    return 0; 
+} 
diff --git a/C++/max subarray sum.cpp b/C++/max subarray sum.cpp
new file mode 100644
index 00000000..1a283f81
--- /dev/null
+++ b/C++/max subarray sum.cpp	
@@ -0,0 +1,66 @@
+// A Divide and Conquer based program for maximum subarray sum problem 
+#include <bits/stdc++.h> 
+
+
+// A utility funtion to find maximum of two integers 
+int max(int a, int b) { return (a > b)? a : b; } 
+
+// A utility funtion to find maximum of three integers 
+int max(int a, int b, int c) { return max(max(a, b), c); } 
+
+// Find the maximum possible sum in arr[] auch that arr[m] is part of it 
+int maxCrossingSum(int arr[], int l, int m, int h) 
+{ 
+	// Include elements on left of mid. 
+	int sum = 0; 
+	int left_sum = INT_MIN; 
+	for (int i = m; i >= l; i--) 
+	{ 
+		sum = sum + arr[i]; 
+		if (sum > left_sum) 
+		left_sum = sum; 
+	} 
+
+	// Include elements on right of mid 
+	sum = 0; 
+	int right_sum = INT_MIN; 
+	for (int i = m+1; i <= h; i++) 
+	{ 
+		sum = sum + arr[i]; 
+		if (sum > right_sum) 
+		right_sum = sum; 
+	} 
+
+	// Return sum of elements on left and right of mid 
+	return left_sum + right_sum; 
+} 
+
+// Returns sum of maxium sum subarray in aa[l..h] 
+int maxSubArraySum(int arr[], int l, int h) 
+{ 
+// Base Case: Only one element 
+if (l == h) 
+	return arr[l]; 
+
+// Find middle point 
+int m = (l + h)/2; 
+
+/* Return maximum of following three possible cases 
+	a) Maximum subarray sum in left half 
+	b) Maximum subarray sum in right half 
+	c) Maximum subarray sum such that the subarray crosses the midpoint */
+return max(maxSubArraySum(arr, l, m), 
+			maxSubArraySum(arr, m+1, h), 
+			maxCrossingSum(arr, l, m, h)); 
+} 
+
+/*Driver program to test maxSubArraySum*/
+int main() 
+{ 
+int arr[] = {2, 3, 4, 5, 7}; 
+int n = sizeof(arr)/sizeof(arr[0]); 
+int max_sum = maxSubArraySum(arr, 0, n-1); 
+printf("Maximum contiguous sum is %dn", max_sum); 
+getchar(); 
+return 0; 
+} 
diff --git a/C++/mergeSort.cpp b/C++/mergeSort.cpp
new file mode 100644
index 00000000..72a08db7
--- /dev/null
+++ b/C++/mergeSort.cpp
@@ -0,0 +1,118 @@
+#include <iostream>
+using namespace std;
+  
+// Merges two sorted subarrays of A[]. 
+// First sorted subarray is A[l..m].
+// Second sorted subarray is A[m+1..r].
+// You might want to call this function in function mergeSort().
+void merge(int A[], int l, int m, int r) 
+{ 
+	int i = 0;		// cursor in leftArray[]
+	int j = 0;		// cursor in rightArray[]
+	int k = l;		// cursor in A[]
+
+	int sizeOfRight = r - m;	// calculates sizes of subarrays
+	int sizeOfLeft = m - l + 1;
+
+	int leftArray[sizeOfLeft];		// creates temporary arrays
+	int rightArray[sizeOfRight];
+
+	for (i; i < sizeOfLeft; i++) {		// fills leftArray[]
+		leftArray[i] = A[k];
+		k++;
+	}
+
+	for (j; j < sizeOfRight; j++) {		// fills rightAray[]
+		rightArray[j] = A[k];
+		k++;
+	}
+
+	i = 0;	// reseting cursors
+	j = 0;
+	k = l;
+
+	// merging contents of arrays
+	while (i < sizeOfLeft && j < sizeOfRight) { 
+		if (leftArray[i] <= rightArray[j]) {
+			A[k] = leftArray[i];
+			i++;
+			k++;
+		}
+		else {
+			A[k] = rightArray[j];
+			j++;
+			k++;
+		}
+	}
+	
+	// finishes merging the remaining array
+	while (i < sizeOfLeft) {
+		A[k] = leftArray[i];
+		i++;
+		k++;
+	}
+
+	while (j < sizeOfRight) {
+		A[k] = rightArray[j];
+		j++;
+		k++;
+	}
+} 
+
+// using mergeSort to sort sub-array A[l..r]  
+// l is for left index and r is right index of the 
+// sub-array of A[] to be sorted
+void mergeSort(int A[], int l, int r) 
+{ 
+	int first = l;
+	int last = r;
+
+	if (first == last)		// base case
+		return;
+	else {
+		int middle = (first + last) / 2;	// general case
+
+		mergeSort(A,first, middle);
+		mergeSort(A, middle + 1, last);
+
+		merge(A, first, middle, last);
+	}
+}
+
+int main() 
+{ 
+    cout << "Please enter the length (number of elements) of the input array: ";
+	int n;
+	cin >> n;
+	
+	if(n <= 0) {
+		cout << "Illegal input array length!" << endl;
+		return 0;
+	}
+	
+	int* A = new int [n];
+	
+	cout << "Please enter each element in the array" << endl; 
+	cout << "(each element must be an integer within the range of int type)." << endl;
+	for(int i=0; i<n; i++) {
+		cout << "A[" << i << "] = ";
+		cin >> A[i];
+	}
+  
+    cout << "Given array A[] is: "; 
+	for(int i=0; i<n-1; i++)
+		cout << A[i] << ",";
+	cout << A[n-1] << endl;
+	
+  
+    mergeSort(A, 0, n-1);
+  
+    cout << "After mergeSort, sorted array A[] is: "; 
+	for(int i=0; i<n-1; i++)
+		cout << A[i] << ",";
+	cout << A[n-1] << endl;
+	
+	
+	delete [] A;
+    return 0; 
+} 
\ No newline at end of file
diff --git a/C++/power.cpp b/C++/power.cpp
new file mode 100644
index 00000000..645b7cfe
--- /dev/null
+++ b/C++/power.cpp
@@ -0,0 +1,45 @@
+#include <iostream>
+
+using namespace std;
+
+double power(double x, int y)
+{
+    double n,m;
+    if(y==0) { // base
+        return 1;
+    }
+    if(y < 0){  // negative
+        n = (1 / x) * power(x, (y + 1)/2);
+        return n*n;
+    }
+    if(y % 2 == 0) {
+        m = power(x, y/2);
+        return m*m;
+    } else {
+        return x * power(x, y - 1);
+    }
+}
+
+int main() 
+{
+	cout << "To calculate x^y ..." << endl;
+	
+	double x;
+	int y;
+	cout << "Please enter x: ";
+	cin >> x;
+	cout << "Please enter y: ";
+	cin >> y;
+	
+	if(x == 0) {
+		if (y > 0)
+			cout << 0 << endl;
+		else
+			cout << "x^y is not defined" <<endl;
+	}
+	else {
+		cout << power(x,y) << endl;
+	}
+	return 0;
+}
+
diff --git a/C++/recursion/CPP - Merge Sort.cpp b/C++/recursion/CPP - Merge Sort.cpp
new file mode 100644
index 00000000..3fc7c3cc
--- /dev/null
+++ b/C++/recursion/CPP - Merge Sort.cpp	
@@ -0,0 +1,67 @@
+#include<iostream>
+using namespace std;
+
+void merge(int *a,int s,int e)
+{
+    int mid=(s+e)/2;
+    int i=s;
+    int j=mid+1;
+    int k=s;
+    int temp[100];
+    while(i<=mid && j<=e)
+    {
+        if(a[i]<a[j])
+        {
+            temp[k++]=a[i++];
+        }
+        else{
+            temp[k++]=a[j++];
+        }
+    }
+    while(i<=mid)
+    {
+        temp[k++]=a[i++];
+    }
+    while(j<=e)
+    {
+      temp[k++]=a[j++];
+    }
+    // we need to copy all elements to original array
+    for(int i=s;i<=e;i++)
+    {
+        a[i]=temp[i];
+    }
+}
+void mergeSort(int a[],int s,int e)
+{
+    // Base Case -1 or 0 elements
+    if(s>=e)
+    {
+        return;
+    }
+    // Follow 3 steps
+    // 1. Divide
+    int mid=(s+e)/2;
+    // Recursively the arrays - s,mid and mid+1,e
+    mergeSort(a,s,mid);
+    mergeSort(a,mid+1,e);
+
+    // Merge the two parts
+    merge(a,s,e);
+}
+int main()
+{
+    int a[100];
+    int n;
+    cin>>n;
+    for(int i=0;i<n;i++)
+    {
+        cin>>a[i];
+    }
+    mergeSort(a,0,n-1);
+    for(int i=0;i<n;i++)
+    {
+        cout<<a[i]<<" ";
+    }
+    return 0;
+}
diff --git a/C++/recursion/CPP - Recursion - Linear Search.cpp b/C++/recursion/CPP - Recursion - Linear Search.cpp
new file mode 100644
index 00000000..51c5b102
--- /dev/null
+++ b/C++/recursion/CPP - Recursion - Linear Search.cpp	
@@ -0,0 +1,23 @@
+#include<iostream>
+using namespace std;
+
+int linearSearch(int *a,int i,int n,int key)
+{
+    if(i==n)
+    {
+        return -1;
+    }
+    if(a[i]==key)
+    {
+        return i;
+    }
+    return linearSearch(a,i+1,n,key);
+}
+int main()
+{
+    int a[]={1,3,2,5,6,9};
+    int n=sizeof(a)/sizeof(int);
+    int key=5;
+    cout<<linearSearch(a,0,n,key);
+    return 0;
+}
diff --git a/C++/recursion/QuickSort.cpp b/C++/recursion/QuickSort.cpp
new file mode 100644
index 00000000..b5102054
--- /dev/null
+++ b/C++/recursion/QuickSort.cpp
@@ -0,0 +1,42 @@
+#include<iostream>
+using namespace std;
+
+int partition(int *a,int s,int e)
+{
+    int i=s-1;
+    int j=s;
+    int pivot=a[e];
+    for( ;j<e;j++)
+    {
+        if(a[j]<pivot)
+        {
+            i++;
+            swap(a[i],a[j]);
+        }
+    }
+    // Bring the pivot element to its sorted position
+    swap(a[i+1],a[e]);
+    return i+1;
+}
+void quickSort(int *a,int s,int e)
+{
+    if(s>=e)
+    {
+        return;
+    }
+    int p=partition(a,s,e);
+    quickSort(a,s,p-1);
+    quickSort(a,p+1,e);
+}
+int main()
+{
+    int a[]={2,1,5,6,7,5,8};
+    int n=sizeof(a)/sizeof(int);
+    quickSort(a,0,n-1);
+    for(int i=0;i<n;i++)
+    {
+        cout<<a[i]<<" ";
+    }
+    return 0;
+}
+
diff --git a/C++/recursion/Randomized Quicksort.cpp b/C++/recursion/Randomized Quicksort.cpp
new file mode 100644
index 00000000..50dc76f1
--- /dev/null
+++ b/C++/recursion/Randomized Quicksort.cpp	
@@ -0,0 +1,62 @@
+#include<iostream>
+#include<ctime>
+#include<cstdlib>
+using namespace std;
+
+void shuffle(int *a,int s,int e)
+{
+    srand(time(NULL));
+    int i,j,temp;
+    for(int i=e;i>0;i--)
+    {
+        // create one random index
+        j=rand()%(i+1);
+        swap(a[i],a[j]);
+    }
+}
+
+int partition(int *a,int s,int e)
+{
+    int i=s-1;
+    int j=s;
+    int pivot=a[e];
+    for( ;j<e;j++)
+    {
+        if(a[j]<pivot)
+        {
+            i++;
+            swap(a[i],a[j]);
+        }
+    }
+    // Bring the pivot element to its sorted position
+    swap(a[i+1],a[e]);
+    return i+1;
+}
+void quickSort(int *a,int s,int e)
+{
+    if(s>=e)
+    {
+        return;
+    }
+    int p=partition(a,s,e);
+    quickSort(a,s,p-1);
+    quickSort(a,p+1,e);
+}
+int main()
+{
+    int a[]={1,2,3,4,5,6};
+    int n=sizeof(a)/sizeof(int);
+    shuffle(a,0,n-1);
+    for(int i=0;i<n;i++)
+    {
+        cout<<a[i]<<" ";
+    }
+    cout<<endl;
+    quickSort(a,0,n-1);
+    for(int i=0;i<n;i++)
+    {
+        cout<<a[i]<<" ";
+    }
+    return 0;
+}
+
diff --git a/C++/recursion/Tower of Hanoi.cpp b/C++/recursion/Tower of Hanoi.cpp
new file mode 100644
index 00000000..aa004151
--- /dev/null
+++ b/C++/recursion/Tower of Hanoi.cpp	
@@ -0,0 +1,29 @@
+#include<iostream>
+using namespace std;
+
+void towerofHanoi(int n,char src,char dest,char helper)
+{
+    // Base case
+    if(n==0)
+    {
+        return;
+    }
+    //Rec case
+    // First step N-1 disks move from src to helper
+
+    towerofHanoi(n-1,src,helper,dest);
+    // Shift Nth disk from src to dest
+
+    cout<<"Move "<<n<<" disk from "<<src<<" to "<<dest<<endl;
+
+    // Move N-1 disk from helper to dest
+
+    towerofHanoi(n-1,helper,dest,src);
+}
+int main()
+{
+    int n;
+    cin>>n;
+    towerofHanoi(n,'A','B','C');
+    return 0;
+}
diff --git a/C++/recursion/bubbleSort.cpp b/C++/recursion/bubbleSort.cpp
new file mode 100644
index 00000000..5cdb9d19
--- /dev/null
+++ b/C++/recursion/bubbleSort.cpp
@@ -0,0 +1,33 @@
+#include<iostream>
+using namespace std;
+
+void bubbleSort(int a[],int n)
+{
+    //Base Case
+    if(n==1)
+    {
+        return;
+    }
+    // Sort 1 element ,and call for remaining n-1 elements
+
+    for(int j=0;j<=n-2;j++)
+    {
+        if(a[j]>a[j+1])
+        {
+            swap(a[j],a[j+1]);
+        }
+    }
+    bubbleSort(a,n-1);
+}
+int main()
+{
+    int a[]={5,4,3,2,1};
+    int n=5;
+    bubbleSort(a,n);
+
+    for(int i=0;i<n;i++)
+    {
+        cout<<a[i]<<" ";
+    }
+    return 0;
+}
diff --git a/C++/recursion/fastpower.cpp b/C++/recursion/fastpower.cpp
new file mode 100644
index 00000000..e53f6097
--- /dev/null
+++ b/C++/recursion/fastpower.cpp
@@ -0,0 +1,22 @@
+#include <iostream>
+using namespace std;
+
+int fastPower(int a,int b)
+{
+
+    if(b==0)
+    {
+        return 1;
+    }
+    else{
+        return a*fastPower(a,b-1);
+    }
+}
+
+int main() {
+    int a,b;
+    cin>>a>>b;
+    cout<<fastPower(a,b)<<endl;;
+    return 0;
+
+}
diff --git a/C++/recursion/fibonacci.cpp b/C++/recursion/fibonacci.cpp
new file mode 100644
index 00000000..a3e496ca
--- /dev/null
+++ b/C++/recursion/fibonacci.cpp
@@ -0,0 +1,22 @@
+#include <iostream>
+
+using namespace std;
+
+int fibonacci(int n)
+{
+    if(n==0)
+        return 0;
+    if(n==1)
+        return 1;
+    int smallOutput1 = fibonacci(n-1);
+    int smallOutput2 = fibonacci(n-2);
+    return smallOutput1 + smallOutput2;
+}
+
+int main()
+{
+    int n;
+    cin>>n;
+    int output = fibonacci(n);
+    cout<<output;
+}
\ No newline at end of file
diff --git a/C++/recursion/productOfTwoNo.cpp b/C++/recursion/productOfTwoNo.cpp
new file mode 100644
index 00000000..ee10dbc1
--- /dev/null
+++ b/C++/recursion/productOfTwoNo.cpp
@@ -0,0 +1,28 @@
+#include <iostream> 
+using namespace std; 
+int multrecur(int n, int m) 
+{ 
+    if (n > 0 && m < 0) { 
+        return multrecur(m, n); 
+    } 
+    else if (n < 0 && m < 0) { 
+        return multrecur((-1 * n), (-1 * m)); 
+    } 
+    if (n > m) { 
+        return multrecur(m, n); 
+    } 
+    else if (m != 0) { 
+        return n + multrecur(n, m - 1); 
+    } 
+    else { 
+        return 0; 
+    } 
+} 
+int main() 
+{ 
+    cout << "10 * 5 = " << multrecur(10, 5) << endl; 
+    cout << "10 * (-5) = " << multrecur(10, -5) << endl; 
+    cout << "(-10) * 5 = " << multrecur(-10, 5) << endl; 
+    cout << "(-10) * (-5) = " << multrecur(-10, -5) << endl; 
+    return 0; 
+} 
\ No newline at end of file
diff --git a/C++/recursion/random_no_generator.cpp b/C++/recursion/random_no_generator.cpp
new file mode 100644
index 00000000..5c8b2fff
--- /dev/null
+++ b/C++/recursion/random_no_generator.cpp
@@ -0,0 +1,12 @@
+#include<iostream>
+#include<ctime>
+#include<cstdlib>
+using namespace std;
+
+int main()
+{
+    //srand(1);  // same output anytime
+    srand(time(NULL));  // output vary anytime
+    cout<<"The no is "<<rand()%100<<endl;
+    return 0;
+}
diff --git a/C/MergeSort.cpp b/C/MergeSort.cpp
new file mode 100644
index 00000000..b8fe93e5
--- /dev/null
+++ b/C/MergeSort.cpp
@@ -0,0 +1,103 @@
+/* C program for Merge Sort */
+#include<stdlib.h> 
+#include<stdio.h> 
+  
+// Merges two subarrays of arr[]. 
+// First subarray is arr[l..m] 
+// Second subarray is arr[m+1..r] 
+void merge(int arr[], int l, int m, int r) 
+{ 
+    int i, j, k; 
+    int n1 = m - l + 1; 
+    int n2 =  r - m; 
+  
+    /* create temp arrays */
+    int L[n1], R[n2]; 
+  
+    /* Copy data to temp arrays L[] and R[] */
+    for (i = 0; i < n1; i++) 
+        L[i] = arr[l + i]; 
+    for (j = 0; j < n2; j++) 
+        R[j] = arr[m + 1+ j]; 
+  
+    /* Merge the temp arrays back into arr[l..r]*/
+    i = 0; // Initial index of first subarray 
+    j = 0; // Initial index of second subarray 
+    k = l; // Initial index of merged subarray 
+    while (i < n1 && j < n2) 
+    { 
+        if (L[i] <= R[j]) 
+        { 
+            arr[k] = L[i]; 
+            i++; 
+        } 
+        else
+        { 
+            arr[k] = R[j]; 
+            j++; 
+        } 
+        k++; 
+    } 
+  
+    /* Copy the remaining elements of L[], if there 
+       are any */
+    while (i < n1) 
+    { 
+        arr[k] = L[i]; 
+        i++; 
+        k++; 
+    } 
+  
+    /* Copy the remaining elements of R[], if there 
+       are any */
+    while (j < n2) 
+    { 
+        arr[k] = R[j]; 
+        j++; 
+        k++; 
+    } 
+} 
+  
+/* l is for left index and r is right index of the 
+   sub-array of arr to be sorted */
+void mergeSort(int arr[], int l, int r) 
+{ 
+    if (l < r) 
+    { 
+        // Same as (l+r)/2, but avoids overflow for 
+        // large l and h 
+        int m = l+(r-l)/2; 
+  
+        // Sort first and second halves 
+        mergeSort(arr, l, m); 
+        mergeSort(arr, m+1, r); 
+  
+        merge(arr, l, m, r); 
+    } 
+} 
+  
+/* UTILITY FUNCTIONS */
+/* Function to print an array */
+void printArray(int A[], int size) 
+{ 
+    int i; 
+    for (i=0; i < size; i++) 
+        printf("%d ", A[i]); 
+    printf("\n"); 
+} 
+  
+/* Driver program to test above functions */
+int main() 
+{ 
+    int arr[] = {12, 11, 13, 5, 6, 7}; 
+    int arr_size = sizeof(arr)/sizeof(arr[0]); 
+  
+    printf("Given array is \n"); 
+    printArray(arr, arr_size); 
+  
+    mergeSort(arr, 0, arr_size - 1); 
+  
+    printf("\nSorted array is \n"); 
+    printArray(arr, arr_size); 
+    return 0; 
+} 
\ No newline at end of file
diff --git a/C/RadixSort.cpp b/C/RadixSort.cpp
new file mode 100644
index 00000000..32ec8b25
--- /dev/null
+++ b/C/RadixSort.cpp
@@ -0,0 +1,54 @@
+#include<stdio.h>
+ 
+int getMax(int arr[], int n) {
+    int mx = arr[0];
+    int i;
+    for (i = 1; i < n; i++)
+        if (arr[i] > mx)
+            mx = arr[i];
+    return mx;
+}
+ 
+void countSort(int arr[], int n, int exp) {
+    int output[n]; // output array
+    int i, count[10] = { 0 };
+ 
+    // Store count of occurrences in count[]
+    for (i = 0; i < n; i++)
+        count[(arr[i] / exp) % 10]++;
+ 
+    for (i = 1; i < 10; i++)
+        count[i] += count[i - 1];
+ 
+    // Build the output array
+    for (i = n - 1; i >= 0; i--) {
+        output[count[(arr[i] / exp) % 10] - 1] = arr[i];
+        count[(arr[i] / exp) % 10]--;
+    }
+ 
+    for (i = 0; i < n; i++)
+        arr[i] = output[i];
+}
+ 
+// The main function to that sorts arr[] of size n using Radix Sort
+void radixsort(int arr[], int n) {
+    int m = getMax(arr, n);
+ 
+    int exp;
+    for (exp = 1; m / exp > 0; exp *= 10)
+        countSort(arr, n, exp);
+}
+ 
+void print(int arr[], int n) {
+    int i;
+    for (i = 0; i < n; i++)
+        printf("%d ", arr[i]);
+}
+ 
+int main() {
+    int arr[] = { 170, 45, 75, 90, 802, 24, 2, 66 };
+    int n = sizeof(arr) / sizeof(arr[0]);
+    radixsort(arr, n);
+    print(arr, n);
+    return 0;
+}
\ No newline at end of file
diff --git a/C/bubble_sort.c b/C/bubble_sort.c
new file mode 100644
index 00000000..7017b289
--- /dev/null
+++ b/C/bubble_sort.c
@@ -0,0 +1,41 @@
+// C program for implementation of Bubble sort 
+#include <stdio.h> 
+
+void swap(int *xp, int *yp) 
+{ 
+	int temp = *xp; 
+	*xp = *yp; 
+	*yp = temp; 
+} 
+
+// A function to implement bubble sort 
+void bubbleSort(int arr[], int n) 
+{ 
+int i, j; 
+for (i = 0; i < n-1; i++)	 
+
+	// Last i elements are already in place 
+	for (j = 0; j < n-i-1; j++) 
+		if (arr[j] > arr[j+1]) 
+			swap(&arr[j], &arr[j+1]); 
+} 
+
+/* Function to print an array */
+void printArray(int arr[], int size) 
+{ 
+	int i; 
+	for (i=0; i < size; i++) 
+		printf("%d ", arr[i]); 
+	printf("\n"); 
+} 
+
+// Driver program to test above functions 
+int main() 
+{ 
+	int arr[] = {64, 34, 25, 12, 22, 11, 90}; 
+	int n = sizeof(arr)/sizeof(arr[0]); 
+	bubbleSort(arr, n); 
+	printf("Sorted array: \n"); 
+	printArray(arr, n); 
+	return 0; 
+} 
diff --git a/C/insertion.c b/C/insertion.c
new file mode 100644
index 00000000..98e84870
--- /dev/null
+++ b/C/insertion.c
@@ -0,0 +1,43 @@
+// C program for insertion sort 
+#include <math.h> 
+#include <stdio.h> 
+  
+/* Function to sort an array using insertion sort*/
+void insertionSort(int arr[], int n) 
+{ 
+    int i, key, j; 
+    for (i = 1; i < n; i++) { 
+        key = arr[i]; 
+        j = i - 1; 
+  
+        /* Move elements of arr[0..i-1], that are 
+          greater than key, to one position ahead 
+          of their current position */
+        while (j >= 0 && arr[j] > key) { 
+            arr[j + 1] = arr[j]; 
+            j = j - 1; 
+        } 
+        arr[j + 1] = key; 
+    } 
+} 
+  
+// A utility function to print an array of size n 
+void printArray(int arr[], int n) 
+{ 
+    int i; 
+    for (i = 0; i < n; i++) 
+        printf("%d ", arr[i]); 
+    printf("\n"); 
+} 
+  
+
+int main() 
+{ 
+    int arr[] = { 12, 11, 13, 5, 6 }; 
+    int n = sizeof(arr) / sizeof(arr[0]); 
+  
+    insertionSort(arr, n); 
+    printArray(arr, n); 
+  
+    return 0; 
+} 
\ No newline at end of file
diff --git a/C/lcs.c b/C/lcs.c
new file mode 100644
index 00000000..9483944d
--- /dev/null
+++ b/C/lcs.c
@@ -0,0 +1,82 @@
+#include<stdio.h>
+#include<stdlib.h>
+#include<string.h>
+void printMat(int** ar,int n,int m)
+{
+    int i = 0,j = 0;
+    for(i =0 ; i< n ;i++)
+    {
+        for(j = 0; j< m; j++)
+        {
+            printf("%d\t", ar[i][j]);
+        }
+        printf("\n" );
+    }
+}
+void LCSPrint(char* X, int** dir, int n, int m)
+{
+  //printf("%d-%d-%d\n",dir[n][m],n,m );
+    if(dir[n][m]==1)
+    {
+        LCSPrint(X,dir,n-1,m-1);
+        printf("%c",X[m-1] );
+    }
+    else if(dir[n][m] == 2)
+    {
+        LCSPrint(X, dir, n-1,m);
+    }
+    else if(dir[n][m]==3)
+    {
+        LCSPrint(X,dir,n,m-1);
+    }
+}
+void LCS(char* p1, char* p2, int n1, int n2)
+{
+    int i = 0, j= 0;
+    n1++;
+    n2++;//Important
+    int **ar = (int**)calloc(n1,sizeof(int*));
+    int **dir = (int**)calloc(n1,sizeof(int*));
+    for(i = 0; i< n1+1; i++)
+    {
+        ar[i] = (int*)calloc(n2,sizeof(int));
+        dir[i] = (int*)calloc(n2,sizeof(int));
+    }
+    for(i = 1; i< n1; i++)
+    {
+        for(j = 1;j< n2; j++)
+        {
+            if(p1[i-1] == p2[j-1])
+            {
+                ar[i][j] = ar[i-1][j-1]+1;
+                dir[i][j] = 1;
+            }
+            else
+            {
+                if(ar[i-1][j] >= ar[i][j-1])
+                {
+                    ar[i][j] = ar[i-1][j];
+                    dir[i][j] = 2;
+                }
+                else
+                {
+                    ar[i][j] = ar[i][j-1];
+                    dir[i][j] = 3;
+                }
+            }
+        }
+    }
+    printMat(ar,n1,n2);
+    printf("=========\n" );
+    printMat(dir,n1,n2);
+    LCSPrint(p2,dir,n1-1,n2-1);
+}
+int main()
+{
+    char X[] = "ABCBDAB";
+    char Y[] = "BDCABA";
+
+    int m = strlen(X);
+    int n = strlen(Y);
+    LCS(X,Y,m,n);
+}
diff --git a/C/quick_sort.c b/C/quick_sort.c
new file mode 100644
index 00000000..5c1d0756
--- /dev/null
+++ b/C/quick_sort.c
@@ -0,0 +1,72 @@
+/* C implementation QuickSort */
+#include<stdio.h> 
+
+// A utility function to swap two elements 
+void swap(int* a, int* b) 
+{ 
+	int t = *a; 
+	*a = *b; 
+	*b = t; 
+} 
+
+/* This function takes last element as pivot, places 
+the pivot element at its correct position in sorted 
+	array, and places all smaller (smaller than pivot) 
+to left of pivot and all greater elements to right 
+of pivot */
+int partition (int arr[], int low, int high) 
+{ 
+	int pivot = arr[high]; // pivot 
+	int i = (low - 1); // Index of smaller element 
+
+	for (int j = low; j <= high- 1; j++) 
+	{ 
+		// If current element is smaller than the pivot 
+		if (arr[j] < pivot) 
+		{ 
+			i++; // increment index of smaller element 
+			swap(&arr[i], &arr[j]); 
+		} 
+	} 
+	swap(&arr[i + 1], &arr[high]); 
+	return (i + 1); 
+} 
+
+/* The main function that implements QuickSort 
+arr[] --> Array to be sorted, 
+low --> Starting index, 
+high --> Ending index */
+void quickSort(int arr[], int low, int high) 
+{ 
+	if (low < high) 
+	{ 
+		/* pi is partitioning index, arr[p] is now 
+		at right place */
+		int pi = partition(arr, low, high); 
+
+		// Separately sort elements before 
+		// partition and after partition 
+		quickSort(arr, low, pi - 1); 
+		quickSort(arr, pi + 1, high); 
+	} 
+} 
+
+/* Function to print an array */
+void printArray(int arr[], int size) 
+{ 
+	int i; 
+	for (i=0; i < size; i++) 
+		printf("%d ", arr[i]); 
+	printf("n"); 
+} 
+
+// Driver program to test above functions 
+int main() 
+{ 
+	int arr[] = {10, 7, 8, 9, 1, 5}; 
+	int n = sizeof(arr)/sizeof(arr[0]); 
+	quickSort(arr, 0, n-1); 
+	printf("Sorted array: n"); 
+	printArray(arr, n); 
+	return 0; 
+} 
diff --git a/C/selection.c b/C/selection.c
new file mode 100644
index 00000000..a92cad31
--- /dev/null
+++ b/C/selection.c
@@ -0,0 +1,45 @@
+#include <stdio.h> 
+  
+void swap(int *xp, int *yp) 
+{ 
+    int temp = *xp; 
+    *xp = *yp; 
+    *yp = temp; 
+} 
+  
+void selectionSort(int arr[], int n) 
+{ 
+    int i, j, min_idx; 
+  
+    // One by one move boundary of unsorted subarray 
+    for (i = 0; i < n-1; i++) 
+    { 
+        // Find the minimum element in unsorted array 
+        min_idx = i; 
+        for (j = i+1; j < n; j++) 
+          if (arr[j] < arr[min_idx]) 
+            min_idx = j; 
+  
+        // Swap the found minimum element with the first element 
+        swap(&arr[min_idx], &arr[i]); 
+    } 
+} 
+  
+/* Function to print an array */
+void printArray(int arr[], int size) 
+{ 
+    int i; 
+    for (i=0; i < size; i++) 
+        printf("%d ", arr[i]); 
+    printf("\n"); 
+} 
+   
+int main() 
+{ 
+    int arr[] = {64, 25, 12, 22, 11}; 
+    int n = sizeof(arr)/sizeof(arr[0]); 
+    selectionSort(arr, n); 
+    printf("Sorted array: \n"); 
+    printArray(arr, n); 
+    return 0; 
+} 
\ No newline at end of file
diff --git a/C/treetraversel.c b/C/treetraversel.c
new file mode 100644
index 00000000..4ccf3317
--- /dev/null
+++ b/C/treetraversel.c
@@ -0,0 +1,86 @@
+#include <stdio.h> 
+#include <stdlib.h> 
+
+struct node 
+{ 
+	int data; 
+	struct node* left; 
+	struct node* right; 
+}; 
+
+struct node* newNode(int data) 
+{ 
+	struct node* node = (struct node*) 
+								malloc(sizeof(struct node)); 
+	node->data = data; 
+	node->left = NULL; 
+	node->right = NULL; 
+
+	return(node); 
+} 
+
+void printPostorder(struct node* node) 
+{ 
+	if (node == NULL) 
+		return; 
+
+	printPostorder(node->left); 
+
+	printPostorder(node->right); 
+
+	printf("%d ", node->data); 
+} 
+
+/* Given a binary tree, print its nodes in inorder*/
+void printInorder(struct node* node) 
+{ 
+	if (node == NULL) 
+		return; 
+
+	/* first recur on left child */
+	printInorder(node->left); 
+
+	/* then print the data of node */
+	printf("%d ", node->data); 
+
+	/* now recur on right child */
+	printInorder(node->right); 
+} 
+
+/* Given a binary tree, print its nodes in preorder*/
+void printPreorder(struct node* node) 
+{ 
+	if (node == NULL) 
+		return; 
+
+	/* first print data of node */
+	printf("%d ", node->data); 
+
+	/* then recur on left sutree */
+	printPreorder(node->left); 
+
+	/* now recur on right subtree */
+	printPreorder(node->right); 
+}	 
+
+/* Driver program to test above functions*/
+int main() 
+{ 
+	struct node *root = newNode(1); 
+	root->left			 = newNode(2); 
+	root->right		 = newNode(3); 
+	root->left->left	 = newNode(4); 
+	root->left->right = newNode(5); 
+
+	printf("\nPreorder traversal of binary tree is \n"); 
+	printPreorder(root); 
+
+	printf("\nInorder traversal of binary tree is \n"); 
+	printInorder(root); 
+
+	printf("\nPostorder traversal of binary tree is \n"); 
+	printPostorder(root); 
+
+	getchar(); 
+	return 0; 
+} 
diff --git a/CPU-Scheduling Algorithms/Multi Level Feedback Queue Scheduling b/CPU-Scheduling Algorithms/Multi Level Feedback Queue Scheduling
new file mode 100644
index 00000000..ad5a1d58
--- /dev/null
+++ b/CPU-Scheduling Algorithms/Multi Level Feedback Queue Scheduling	
@@ -0,0 +1,102 @@
+#include<stdio.h> 
+ 
+#define N 10 
+ 
+typedef struct 
+{ 
+      int process_id, arrival_time, burst_time, priority;
+      int q, ready; 
+}process_structure; 
+ 
+int Queue(int t1) 
+{ 
+      if(t1 == 0 || t1 == 1 || t1 == 2 || t1 == 3) 
+      { 
+            return 1; 
+      } 
+      else
+      {
+            return 2; 
+      }
+} 
+ 
+int main() 
+{ 
+      int limit, count, temp_process, time, j, y; 
+      process_structure temp; 
+      printf("Enter Total Number of Processes:\t"); 
+      scanf("%d", &limit);  
+      process_structure process[limit]; 
+      for(count = 0; count < limit; count++) 
+      { 
+            printf("\nProcess ID:\t"); 
+            scanf("%d", &process[count].process_id); 
+            printf("Arrival Time:\t"); 
+            scanf("%d", &process[count].arrival_time); 
+            printf("Burst Time:\t"); 
+            scanf("%d", &process[count].burst_time); 
+            printf("Process Priority:\t"); 
+            scanf("%d", &process[count].priority); 
+            temp_process = process[count].priority; 
+            process[count].q = Queue(temp_process);
+            process[count].ready = 0; 
+      }
+      time = process[0].burst_time; 
+      for(y = 0; y < limit; y++) 
+      { 
+            for(count = y; count < limit; count++) 
+            { 
+                  if(process[count].arrival_time < time) 
+                  {
+                        process[count].ready = 1; 
+                  } 
+            } 
+            for(count = y; count < limit - 1; count++) 
+            {
+                  for(j = count + 1; j < limit; j++) 
+                  { 
+                        if(process[count].ready == 1 && process[j].ready == 1) 
+                        { 
+                              if(process[count].q == 2 && process[j].q == 1) 
+                              { 
+                                    temp = process[count]; 
+                                    process[count] = process[j]; 
+                                    process[j] = temp; 
+                              } 
+                        } 
+                  } 
+            } 
+            for(count = y; count < limit - 1; count++) 
+            { 
+                  for(j = count + 1; j < limit; j++) 
+                  {
+                        if(process[count].ready == 1 && process[j].ready == 1) 
+                        { 
+                              if(process[count].q == 1 && process[j].q == 1) 
+                              { 
+                                    if(process[count].burst_time > process[j].burst_time) 
+                                    { 
+                                          temp = process[count]; 
+                                          process[count] = process[j]; 
+                                          process[j] = temp; 
+                                    } 
+                                    else 
+                                    { 
+                                          break; 
+                                    } 
+                              } 
+                        } 
+                  } 
+            } 
+            printf("\nProcess[%d]:\tTime:\t%d To %d\n", process[y].process_id, time, time + process[y].burst_time); 
+            time = time + process[y].burst_time; 
+            for(count = y; count < limit; count++) 
+            { 
+                  if(process[count].ready == 1) 
+                  { 
+                        process[count].ready = 0; 
+                  } 
+            } 
+      } 
+      return 0; 
+}
diff --git a/CPU-Scheduling Algorithms/sjfmultiprocessing.py b/CPU-Scheduling Algorithms/sjfmultiprocessing.py
new file mode 100644
index 00000000..c1ca6dce
--- /dev/null
+++ b/CPU-Scheduling Algorithms/sjfmultiprocessing.py	
@@ -0,0 +1,69 @@
+import multiprocessing
+import os
+import time
+
+def proc(n):
+  time.sleep(n)
+  
+#creating processes
+p0=multiprocessing.Process(target=proc,args=(2,))
+p1=multiprocessing.Process(target=proc,args=(3,))
+p2=multiprocessing.Process(target=proc,args=(6,))
+p3=multiprocessing.Process(target=proc,args=(21,))
+
+#Burst time for process
+bursttime=[21,3,6,2]
+
+#sorting just to compute sortest job first
+burst.sort()
+
+#storing intial time for all process with n+1 size
+t=[0,0,0,0,0]
+
+#intializing waiting time array of size n
+wt=[0]*4
+
+#intializing turn around time array
+tt=[0]*4
+
+#taking time at the beggining at t[0] rest of 
+#all we take after a process end and t[j]-t[i]
+#will compute the time taken to complete the process
+t[0]=time.time()
+
+#strating process p0
+p0.start()
+p0.join()
+
+#taking time after process p0
+t[1]=time.time()
+
+#strating process p1
+p1.start()
+p1.join()
+
+#taking time after process p1
+t[2]=time.time()
+
+#strating process p2
+p2.start()
+p2.join()
+
+#taking time after process p2
+t[3]=time.time()
+
+#strating process p3
+p3.start()
+p3.join()
+
+#taking time after process p3
+t[4]=time.time()
+
+i=0
+while i<=4:
+  tt[i]=t[i+1]-t[i]
+  wt[i]=tt[i]-bursttime[i]
+  i+=1
+printf("Average waiting time:",sum(wt)/len(wt))
+
+printf("Average turn around  time:",sum(tt)/len(tt))
diff --git a/CaesarCipher/JavaScript/CaesarCipher.js b/CaesarCipher/JavaScript/CaesarCipher.js
new file mode 100644
index 00000000..0d7787bc
--- /dev/null
+++ b/CaesarCipher/JavaScript/CaesarCipher.js
@@ -0,0 +1,42 @@
+var str = "abc test string";
+var amount = 1;
+
+console.log(cipher(str, amount));
+
+function cipher(str, amount) {// Wrap the amount
+	if (amount < 0)
+		return caesarShift(str, amount + 26);
+
+	// Make an output variable
+	var output = '';
+
+	// Go through each character
+	for (var i = 0; i < str.length; i ++) {
+
+		// Get the character we'll be appending
+		var c = str[i];
+
+		// If it's a letter...
+		if (c.match(/[a-z]/i)) {
+
+			// Get its code
+			var code = str.charCodeAt(i);
+
+			// Uppercase letters
+			if ((code >= 65) && (code <= 90))
+				c = String.fromCharCode(((code - 65 + amount) % 26) + 65);
+
+			// Lowercase letters
+			else if ((code >= 97) && (code <= 122))
+				c = String.fromCharCode(((code - 97 + amount) % 26) + 97);
+
+		}
+
+		// Append
+		output += c;
+
+	}
+
+	// All done!
+	return output;
+}
\ No newline at end of file
diff --git a/CaesarCipher/Python/CaesarCipher.py b/CaesarCipher/Python/CaesarCipher.py
index 73244133..b7a6e9cf 100644
--- a/CaesarCipher/Python/CaesarCipher.py
+++ b/CaesarCipher/Python/CaesarCipher.py
@@ -1,7 +1,7 @@
-letters = input()
-rot = int(input())
-for i in range(len(letters)):
-    print(letters[(i + rot) % len(letters)], end='')
-print('\n', letters, sep='')
-for i in range(len(letters)):
+letters = input()
+rot = int(input())
+for i in range(len(letters)):
+    print(letters[(i + rot) % len(letters)], end='')
+print('\n', letters, sep='')
+for i in range(len(letters)):
     print(letters[(i - rot) % len(letters)], end='')
\ No newline at end of file
diff --git a/CaesarCipher/README.md b/CaesarCipher/README.md
new file mode 100644
index 00000000..12049251
--- /dev/null
+++ b/CaesarCipher/README.md
@@ -0,0 +1 @@
+This repository contains programs written in CPP, Javascript, Python to decrypt or encrypt Caesar Cipher
diff --git a/Calculator/Calculator.depend b/Calculator/Calculator.depend
index 06ce548e..ff81c7b2 100644
--- a/Calculator/Calculator.depend
+++ b/Calculator/Calculator.depend
@@ -1,4 +1,4 @@
-# depslib dependency file v1.0
-1570949579 source:c:\users\yakov\desktop\codeblocks\calculator\main.cpp
-	<bits/stdc++.h>
-
+# depslib dependency file v1.0
+1570949579 source:c:\users\yakov\desktop\codeblocks\calculator\main.cpp
+	<bits/stdc++.h>
+
diff --git a/Calculator/main.cpp b/Calculator/main.cpp
index 66f22244..12664bce 100644
--- a/Calculator/main.cpp
+++ b/Calculator/main.cpp
@@ -1,506 +1,506 @@
-#include <bits/stdc++.h>
-
-using namespace std;
-
-const long double MINUS = 854321;
-const long double PLUS = 754321;
-const long double DIV = 654321;
-const long double MULT = 554321;
-const long double BRACK = 454321;
-const long double IMPOSS = 354321;
-const long double SIN = 1754321;
-const long double COS = 1654321;
-const long double SQRT = 1554321;
-const long double TAN = 1454321;
-const long double LOG = 1354321;
-const long double POW = 6354321;
-const long double CMP = 0.000001;
-const long double PI = 3.141593;
-//We can't make non-typed stack, but we should save our operands in the same stack? as numbers, so we need to have the constants, that will be meaning the operands
-
-
-struct Stack{
-    long double info; // Any type you need
-    Stack *next;
-};
-
-void Push( Stack *&t, long double elem )//Add new element to the stack
-{
-    Stack *p = (Stack*) malloc(sizeof(Stack));
-    (*p).info = elem;
-    (*p).next = t;
-    t = p;
-}
-
-bool CanPush( Stack *t, long double elem )//Checking a priority of new operand and the latest operand
-{
-    if ( elem == MINUS || elem == PLUS )
-    {
-        if ( t != NULL && (*t).info != BRACK )
-        {
-            return false;
-        }
-    }
-    if ( elem == MULT || elem == DIV )
-    {
-        if ( t != NULL && !( (*t).info == PLUS || (*t).info == MINUS || (*t).info == BRACK ) )
-        {
-            return false;
-        }
-    }
-    if ( elem == SQRT || elem == SIN || elem == COS || elem == TAN || elem == LOG )
-    {
-        if ( t != NULL && !( (*t).info == PLUS || (*t).info == MINUS || (*t).info == DIV || (*t).info == MULT || (*t).info == BRACK || (*t).info == POW ) )
-        {
-            return false;
-        }
-    }
-    if ( elem == POW )
-    {
-        if ( t != NULL && !( (*t).info == PLUS || (*t).info == MINUS || (*t).info == DIV || (*t).info == MULT || (*t).info == POW || (*t).info == BRACK ) )
-        {
-            return false;
-        }
-    }
-    /*if ( elem == BRACK )
-    {
-        if ( t != NULL )
-        {
-            return false;
-        }
-    }*/
-    return true;
-}
-
-long double Pop( Stack *&t )// Get the first element from the stack and delete it
-{
-    if ( t == NULL )
-    {
-        return IMPOSS;
-    }
-    long double el = (*t).info;
-    t = (*t).next;
-    return el;
-}
-
-long double MakeDouble( string s )//Returning a double from a string
-{
-    long double a = 0;
-    for( int i = 0; i < s.size(); i++ )
-    {
-        a = a * 10 + s[i] - '0';
-    }
-    return a;
-}
-
-string Reform( string s )//Making a given example easier to work
-{
-    string s1 = "";
-    for ( int i = 0; i < s.size(); i++ )
-    {
-        if ( '0' <= s[i] && '9' >= s[i] )
-        {
-            s1 += s[i];
-        }
-        else if ( s[i] <= 'z' && s[i] >= 'a' )
-        {
-            if ( s[i+1] == 'q' )
-            {
-                s1 += 'Q';
-                i += 3;
-            }
-            else if ( s[i] == 's' )
-            {
-                s1 += 'S';
-                i += 2;
-            }
-            else if ( s[i] == 'c' )
-            {
-                s1 += 'C';
-                i += 2;
-            }
-            else if ( s[i] == 'l' )
-            {
-                s1 += 'L';
-                i += 1;
-            }
-            else
-            {
-                s1 += 'T';
-                i += 1;
-            }
-        }
-        else
-        {
-            if (  ( i == 0 && ( s[i] == '-' ) ) || ( s[i] == '-'  && s[i-1] != ')'  && ( s[i-1] < '0' || s[i-1] > '9') ) )
-            {
-                s1 += '0';
-            }
-            s1 += s[i];
-        }
-    }
-    return s1;
-}
-
-void PrintStack( Stack *t )// Print the Stack from the last, to the first elements
-{
-    long double a = Pop( t );
-    while ( a != IMPOSS )
-    {
-        if ( abs( a - MINUS ) <= CMP )
-        {
-            cout << '-';
-        }
-        else if ( abs( a - DIV ) <= CMP )
-        {
-            cout << '/';
-        }
-        else if ( abs( a - MULT ) <= CMP )
-        {
-            cout << '*';
-        }
-        else if ( abs( a - PLUS ) <= CMP )
-        {
-            cout << '+';
-        }
-        else if ( abs( a - LOG ) <= CMP)
-        {
-            cout << "log";
-        }
-        else if ( abs( a - SQRT ) <= CMP)
-        {
-            cout << "sqrt";
-        }
-        else if ( abs( a - TAN ) <= CMP)
-        {
-            cout << "tan";
-        }
-        else if ( abs( a - COS ) <= CMP)
-        {
-            cout << "cos";
-        }
-        else if ( abs( a - SIN ) <= CMP)
-        {
-            cout << "sin";
-        }
-        else if ( abs( a - POW ) <= CMP)
-        {
-            cout << "^";
-        }
-        else
-        {
-            cout << a;
-        }
-        a = Pop( t );
-        cout << ' ';
-    }
-    cout << '\n';
-}
-
-bool IsOperand( char ch )
-{
-    return ch == '+' || ch == '-' || ch == '/' || ch == '*' || ch == '^';
-}
-
-bool IsNum( char ch )
-{
-    return ch >= '0' && ch <= '9';
-}
-
-bool IsCorrect( string s )// Checking if the example is wrong
-{
-    Stack *top = NULL;
-    char ch = s[0];
-    for ( int i = 1; i <= s.size(); ch = s[i++] )
-    {
-        if ( ch == '(' )
-        {
-            Push( top, '(' );
-        }
-        if ( ch == ')' )
-        {
-            long double a = Pop( top );
-            if ( a == IMPOSS )
-            {
-                return false;
-            }
-        }
-        if ( ( IsOperand( ch ) && i == s.size() ) ||  ( IsOperand( ch ) && IsOperand( s[i] ) ) )
-        {
-            return false;
-        }
-    }
-    long double a = Pop( top );
-    if ( a != IMPOSS )
-    {
-        return false;
-    }
-    return true;
-}
-
-void ReverseStack( Stack *&t )
-{
-    Stack *t1 = NULL;
-    while ( t != NULL )
-    {
-        Push( t1, Pop( t ) );
-    }
-    t = t1;
-}
-
-Stack *top2 = NULL;
-Stack *top1 = NULL;
-
-int main()
-{
-    string example;
-    cin >> example;
-    example = Reform( example );
-    char ch = example[0];
-    string s = "";
-    if ( !IsCorrect( example) )//If the example is wrong, we won't work with it
-    {
-        cout << "Error.";
-        return 0;
-    }
-    for ( int i = 0; i < example.size(); ch = example[++i] )
-    {
-        if ( ch <= '9' && ch >= '0' )//Getting integer from the example
-        {
-            s += ch;
-        }
-        else
-        {
-            if ( s[0] <= '9' && s[0] >= '0' )//Pushing the latest integer to the PRN
-            {
-                Push( top2, MakeDouble( s ) );
-            }
-            if ( ch != ')' )//Pushing the latest operand to the operand's stack
-            {
-                if ( ch == '-' )
-                {
-                    while ( !CanPush( top1, MINUS ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, MINUS );
-                }
-                if ( ch == '*' )
-                {
-                    while ( !CanPush( top1, MULT ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, MULT );
-                }
-                if ( ch == '/' )
-                {
-                    while ( !CanPush( top1, DIV ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, DIV );
-                }
-                if ( ch == '+' )
-                {
-                    while ( !CanPush( top1, PLUS ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, PLUS );
-                }
-                if ( ch == '(' )
-                {
-                    while ( !CanPush( top1, BRACK ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, BRACK );
-                }
-                if ( ch == '^' )
-                {
-                    while ( !CanPush( top1, POW ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, POW );
-                }
-                if ( ch == 'Q' )
-                {
-                    while ( !CanPush( top1, SQRT ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, SQRT );
-                }
-                if ( ch == 'T' )
-                {
-                    while ( !CanPush( top1, TAN ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, TAN );
-                }
-                if ( ch == 'S' )
-                {
-                    while ( !CanPush( top1, SIN ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, SIN );
-                }
-                if ( ch == 'L' )
-                {
-                    while ( !CanPush( top1, LOG ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, LOG );
-                }
-                if ( ch == 'C' )
-                {
-                    while ( !CanPush( top1, COS ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, COS );
-                }
-            }
-            else//moving all operands from brackets to the PRN
-            {
-                double a = 0;
-                while ( a != BRACK )//
-                {
-                    a = Pop( top1 );
-                    Push( top2, a );
-                }
-                Pop( top2 );
-            }
-            s = "";
-        }
-    }
-    if ( example[example.size() - 1] <= '9' && example[example.size() - 1] >= '0' )//If last number isn't in the PRN, we move it there
-    {
-        Push( top2, MakeDouble( s ) );
-    }
-    while ( top1 != NULL )//Moving all latest operands, that we didn't pull in PRN to it
-    {
-        Push( top2, Pop( top1 ) );
-    }
-    ReverseStack( top2 );//reversing PRN, to work with it in the right order
-    while ( top2 != NULL )//Counting PRN
-    {
-        long double a = Pop( top2 );
-        if ( abs( a - MINUS ) <= CMP )
-        {
-            long double a = Pop( top1 ), b = Pop( top1 );
-            if ( a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, b - a );
-        }
-        else if ( abs( a - DIV ) <= CMP )
-        {
-            long double a = Pop( top1 ), b = Pop( top1 );
-            if ( a == 0 || a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, b / a ) ;
-        }
-        else if ( abs( a - MULT ) <= CMP )
-        {
-            long double a = Pop( top1 ), b = Pop( top1 );
-            if ( a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, b * a );
-        }
-        else if ( abs( a - PLUS ) <= CMP )
-        {
-            long double a = Pop( top1 ), b = Pop( top1 );
-            if ( a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, b + a );
-        }
-        else if ( abs( a - SQRT ) <= CMP )
-        {
-            long double a = Pop( top1 );
-            if ( a == IMPOSS || a < 0 )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, pow( a, 0.5 ) );
-        }
-        else if ( abs( a - POW ) <= CMP )
-        {
-            long double a = Pop( top1 ), b = Pop( top1 );
-            if ( a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, pow( b, a ) );
-        }
-        else if ( abs( a - TAN ) <= CMP )
-        {
-            long double a = Pop( top1 );
-            if ( a == IMPOSS || abs( cos( a ) ) <= CMP )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, tan( a ) );
-        }
-        else if ( abs( a - COS ) <= CMP )
-        {
-            long double a = Pop( top1 );
-            if ( a == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, cos( a ) );
-        }
-        else if ( abs( a - SIN ) <= CMP )
-        {
-            long double a = Pop( top1 );
-            if ( a == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, sin( a ) );
-        }
-        else if ( abs( a - LOG ) <= CMP )
-        {
-            long double a = Pop( top1 );
-            if ( a == IMPOSS || a <= 0 )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, log( a ) );
-        }
-        else
-        {
-            Push( top1, a );
-        }
-    }
-    if ( top1 == NULL )//If there are no numbers in example, the example is incorrect
-    {
-        cout << "Error.";
-        return 0;
-    }
-    cout << setprecision(6) << fixed << Pop( top1 );//Printing the answer for the example
-    return 0;
-}// You can add other operands, if it necessary
+#include <bits/stdc++.h>
+
+using namespace std;
+
+const long double MINUS = 854321;
+const long double PLUS = 754321;
+const long double DIV = 654321;
+const long double MULT = 554321;
+const long double BRACK = 454321;
+const long double IMPOSS = 354321;
+const long double SIN = 1754321;
+const long double COS = 1654321;
+const long double SQRT = 1554321;
+const long double TAN = 1454321;
+const long double LOG = 1354321;
+const long double POW = 6354321;
+const long double CMP = 0.000001;
+const long double PI = 3.141593;
+//We can't make non-typed stack, but we should save our operands in the same stack? as numbers, so we need to have the constants, that will be meaning the operands
+
+
+struct Stack{
+    long double info; // Any type you need
+    Stack *next;
+};
+
+void Push( Stack *&t, long double elem )//Add new element to the stack
+{
+    Stack *p = (Stack*) malloc(sizeof(Stack));
+    (*p).info = elem;
+    (*p).next = t;
+    t = p;
+}
+
+bool CanPush( Stack *t, long double elem )//Checking a priority of new operand and the latest operand
+{
+    if ( elem == MINUS || elem == PLUS )
+    {
+        if ( t != NULL && (*t).info != BRACK )
+        {
+            return false;
+        }
+    }
+    if ( elem == MULT || elem == DIV )
+    {
+        if ( t != NULL && !( (*t).info == PLUS || (*t).info == MINUS || (*t).info == BRACK ) )
+        {
+            return false;
+        }
+    }
+    if ( elem == SQRT || elem == SIN || elem == COS || elem == TAN || elem == LOG )
+    {
+        if ( t != NULL && !( (*t).info == PLUS || (*t).info == MINUS || (*t).info == DIV || (*t).info == MULT || (*t).info == BRACK || (*t).info == POW ) )
+        {
+            return false;
+        }
+    }
+    if ( elem == POW )
+    {
+        if ( t != NULL && !( (*t).info == PLUS || (*t).info == MINUS || (*t).info == DIV || (*t).info == MULT || (*t).info == POW || (*t).info == BRACK ) )
+        {
+            return false;
+        }
+    }
+    /*if ( elem == BRACK )
+    {
+        if ( t != NULL )
+        {
+            return false;
+        }
+    }*/
+    return true;
+}
+
+long double Pop( Stack *&t )// Get the first element from the stack and delete it
+{
+    if ( t == NULL )
+    {
+        return IMPOSS;
+    }
+    long double el = (*t).info;
+    t = (*t).next;
+    return el;
+}
+
+long double MakeDouble( string s )//Returning a double from a string
+{
+    long double a = 0;
+    for( int i = 0; i < s.size(); i++ )
+    {
+        a = a * 10 + s[i] - '0';
+    }
+    return a;
+}
+
+string Reform( string s )//Making a given example easier to work
+{
+    string s1 = "";
+    for ( int i = 0; i < s.size(); i++ )
+    {
+        if ( '0' <= s[i] && '9' >= s[i] )
+        {
+            s1 += s[i];
+        }
+        else if ( s[i] <= 'z' && s[i] >= 'a' )
+        {
+            if ( s[i+1] == 'q' )
+            {
+                s1 += 'Q';
+                i += 3;
+            }
+            else if ( s[i] == 's' )
+            {
+                s1 += 'S';
+                i += 2;
+            }
+            else if ( s[i] == 'c' )
+            {
+                s1 += 'C';
+                i += 2;
+            }
+            else if ( s[i] == 'l' )
+            {
+                s1 += 'L';
+                i += 1;
+            }
+            else
+            {
+                s1 += 'T';
+                i += 1;
+            }
+        }
+        else
+        {
+            if (  ( i == 0 && ( s[i] == '-' ) ) || ( s[i] == '-'  && s[i-1] != ')'  && ( s[i-1] < '0' || s[i-1] > '9') ) )
+            {
+                s1 += '0';
+            }
+            s1 += s[i];
+        }
+    }
+    return s1;
+}
+
+void PrintStack( Stack *t )// Print the Stack from the last, to the first elements
+{
+    long double a = Pop( t );
+    while ( a != IMPOSS )
+    {
+        if ( abs( a - MINUS ) <= CMP )
+        {
+            cout << '-';
+        }
+        else if ( abs( a - DIV ) <= CMP )
+        {
+            cout << '/';
+        }
+        else if ( abs( a - MULT ) <= CMP )
+        {
+            cout << '*';
+        }
+        else if ( abs( a - PLUS ) <= CMP )
+        {
+            cout << '+';
+        }
+        else if ( abs( a - LOG ) <= CMP)
+        {
+            cout << "log";
+        }
+        else if ( abs( a - SQRT ) <= CMP)
+        {
+            cout << "sqrt";
+        }
+        else if ( abs( a - TAN ) <= CMP)
+        {
+            cout << "tan";
+        }
+        else if ( abs( a - COS ) <= CMP)
+        {
+            cout << "cos";
+        }
+        else if ( abs( a - SIN ) <= CMP)
+        {
+            cout << "sin";
+        }
+        else if ( abs( a - POW ) <= CMP)
+        {
+            cout << "^";
+        }
+        else
+        {
+            cout << a;
+        }
+        a = Pop( t );
+        cout << ' ';
+    }
+    cout << '\n';
+}
+
+bool IsOperand( char ch )
+{
+    return ch == '+' || ch == '-' || ch == '/' || ch == '*' || ch == '^';
+}
+
+bool IsNum( char ch )
+{
+    return ch >= '0' && ch <= '9';
+}
+
+bool IsCorrect( string s )// Checking if the example is wrong
+{
+    Stack *top = NULL;
+    char ch = s[0];
+    for ( int i = 1; i <= s.size(); ch = s[i++] )
+    {
+        if ( ch == '(' )
+        {
+            Push( top, '(' );
+        }
+        if ( ch == ')' )
+        {
+            long double a = Pop( top );
+            if ( a == IMPOSS )
+            {
+                return false;
+            }
+        }
+        if ( ( IsOperand( ch ) && i == s.size() ) ||  ( IsOperand( ch ) && IsOperand( s[i] ) ) )
+        {
+            return false;
+        }
+    }
+    long double a = Pop( top );
+    if ( a != IMPOSS )
+    {
+        return false;
+    }
+    return true;
+}
+
+void ReverseStack( Stack *&t )
+{
+    Stack *t1 = NULL;
+    while ( t != NULL )
+    {
+        Push( t1, Pop( t ) );
+    }
+    t = t1;
+}
+
+Stack *top2 = NULL;
+Stack *top1 = NULL;
+
+int main()
+{
+    string example;
+    cin >> example;
+    example = Reform( example );
+    char ch = example[0];
+    string s = "";
+    if ( !IsCorrect( example) )//If the example is wrong, we won't work with it
+    {
+        cout << "Error.";
+        return 0;
+    }
+    for ( int i = 0; i < example.size(); ch = example[++i] )
+    {
+        if ( ch <= '9' && ch >= '0' )//Getting integer from the example
+        {
+            s += ch;
+        }
+        else
+        {
+            if ( s[0] <= '9' && s[0] >= '0' )//Pushing the latest integer to the PRN
+            {
+                Push( top2, MakeDouble( s ) );
+            }
+            if ( ch != ')' )//Pushing the latest operand to the operand's stack
+            {
+                if ( ch == '-' )
+                {
+                    while ( !CanPush( top1, MINUS ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, MINUS );
+                }
+                if ( ch == '*' )
+                {
+                    while ( !CanPush( top1, MULT ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, MULT );
+                }
+                if ( ch == '/' )
+                {
+                    while ( !CanPush( top1, DIV ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, DIV );
+                }
+                if ( ch == '+' )
+                {
+                    while ( !CanPush( top1, PLUS ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, PLUS );
+                }
+                if ( ch == '(' )
+                {
+                    while ( !CanPush( top1, BRACK ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, BRACK );
+                }
+                if ( ch == '^' )
+                {
+                    while ( !CanPush( top1, POW ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, POW );
+                }
+                if ( ch == 'Q' )
+                {
+                    while ( !CanPush( top1, SQRT ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, SQRT );
+                }
+                if ( ch == 'T' )
+                {
+                    while ( !CanPush( top1, TAN ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, TAN );
+                }
+                if ( ch == 'S' )
+                {
+                    while ( !CanPush( top1, SIN ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, SIN );
+                }
+                if ( ch == 'L' )
+                {
+                    while ( !CanPush( top1, LOG ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, LOG );
+                }
+                if ( ch == 'C' )
+                {
+                    while ( !CanPush( top1, COS ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, COS );
+                }
+            }
+            else//moving all operands from brackets to the PRN
+            {
+                double a = 0;
+                while ( a != BRACK )//
+                {
+                    a = Pop( top1 );
+                    Push( top2, a );
+                }
+                Pop( top2 );
+            }
+            s = "";
+        }
+    }
+    if ( example[example.size() - 1] <= '9' && example[example.size() - 1] >= '0' )//If last number isn't in the PRN, we move it there
+    {
+        Push( top2, MakeDouble( s ) );
+    }
+    while ( top1 != NULL )//Moving all latest operands, that we didn't pull in PRN to it
+    {
+        Push( top2, Pop( top1 ) );
+    }
+    ReverseStack( top2 );//reversing PRN, to work with it in the right order
+    while ( top2 != NULL )//Counting PRN
+    {
+        long double a = Pop( top2 );
+        if ( abs( a - MINUS ) <= CMP )
+        {
+            long double a = Pop( top1 ), b = Pop( top1 );
+            if ( a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, b - a );
+        }
+        else if ( abs( a - DIV ) <= CMP )
+        {
+            long double a = Pop( top1 ), b = Pop( top1 );
+            if ( a == 0 || a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, b / a ) ;
+        }
+        else if ( abs( a - MULT ) <= CMP )
+        {
+            long double a = Pop( top1 ), b = Pop( top1 );
+            if ( a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, b * a );
+        }
+        else if ( abs( a - PLUS ) <= CMP )
+        {
+            long double a = Pop( top1 ), b = Pop( top1 );
+            if ( a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, b + a );
+        }
+        else if ( abs( a - SQRT ) <= CMP )
+        {
+            long double a = Pop( top1 );
+            if ( a == IMPOSS || a < 0 )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, pow( a, 0.5 ) );
+        }
+        else if ( abs( a - POW ) <= CMP )
+        {
+            long double a = Pop( top1 ), b = Pop( top1 );
+            if ( a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, pow( b, a ) );
+        }
+        else if ( abs( a - TAN ) <= CMP )
+        {
+            long double a = Pop( top1 );
+            if ( a == IMPOSS || abs( cos( a ) ) <= CMP )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, tan( a ) );
+        }
+        else if ( abs( a - COS ) <= CMP )
+        {
+            long double a = Pop( top1 );
+            if ( a == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, cos( a ) );
+        }
+        else if ( abs( a - SIN ) <= CMP )
+        {
+            long double a = Pop( top1 );
+            if ( a == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, sin( a ) );
+        }
+        else if ( abs( a - LOG ) <= CMP )
+        {
+            long double a = Pop( top1 );
+            if ( a == IMPOSS || a <= 0 )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, log( a ) );
+        }
+        else
+        {
+            Push( top1, a );
+        }
+    }
+    if ( top1 == NULL )//If there are no numbers in example, the example is incorrect
+    {
+        cout << "Error.";
+        return 0;
+    }
+    cout << setprecision(6) << fixed << Pop( top1 );//Printing the answer for the example
+    return 0;
+}// You can add other operands, if it necessary
diff --git a/Calculator/main.cpp.save b/Calculator/main.cpp.save
index a8da04bb..6e693eae 100644
--- a/Calculator/main.cpp.save
+++ b/Calculator/main.cpp.save
@@ -1,506 +1,506 @@
-#include <bits/stdc++.h>
-
-using namespace std;
-
-const long double MINUS = 854321;
-const long double PLUS = 754321;
-const long double DIV = 654321;
-const long double MULT = 554321;
-const long double BRACK = 454321;
-const long double IMPOSS = 354321;
-const long double SIN = 1754321;
-const long double COS = 1654321;
-const long double SQRT = 1554321;
-const long double TAN = 1454321;
-const long double LOG = 1354321;
-const long double POW = 6354321;
-const long double CMP = 0.000001;
-const long double PI = 3.141593;
-//We can't make non-typed stack, but we should save our operands in the same stack? as numbers, so we need to have the const
-
-
-struct Stack{
-    long double info; // Any type you need
-    Stack *next;
-};
-
-void Push( Stack *&t, long double elem )//Add new element to the stack
-{
-    Stack *p = (Stack*) malloc(sizeof(Stack));
-    (*p).info = elem;
-    (*p).next = t;
-    t = p;
-}
-
-bool CanPush( Stack *t, long double elem )//Checking a priority of new operand and the latest operand
-{
-    if ( elem == MINUS || elem == PLUS )
-    {
-        if ( t != NULL && (*t).info != BRACK )
-        {
-            return false;
-        }
-    }
-    if ( elem == MULT || elem == DIV )
-    {
-        if ( t != NULL && !( (*t).info == PLUS || (*t).info == MINUS || (*t).info == BRACK ) )
-        {
-            return false;
-        }
-    }
-    if ( elem == SQRT || elem == SIN || elem == COS || elem == TAN || elem == LOG )
-    {
-        if ( t != NULL && !( (*t).info == PLUS || (*t).info == MINUS || (*t).info == DIV || (*t).info == MULT || (*t).info == BRACK || (*t).info == POW ) )
-        {
-            return false;
-        }
-    }
-    if ( elem == POW )
-    {
-        if ( t != NULL && !( (*t).info == PLUS || (*t).info == MINUS || (*t).info == DIV || (*t).info == MULT || (*t).info == POW || (*t).info == BRACK ) )
-        {
-            return false;
-        }
-    }
-    /*if ( elem == BRACK )
-    {
-        if ( t != NULL )
-        {
-            return false;
-        }
-    }*/
-    return true;
-}
-
-long double Pop( Stack *&t )// Get the first element from the stack and delete it
-{
-    if ( t == NULL )
-    {
-        return IMPOSS;
-    }
-    long double el = (*t).info;
-    t = (*t).next;
-    return el;
-}
-
-long double MakeDouble( string s )//Returning a double from a string
-{
-    long double a = 0;
-    for( int i = 0; i < s.size(); i++ )
-    {
-        a = a * 10 + s[i] - '0';
-    }
-    return a;
-}
-
-string Reform( string s )//Making a given example easier to work
-{
-    string s1 = "";
-    for ( int i = 0; i < s.size(); i++ )
-    {
-        if ( '0' <= s[i] && '9' >= s[i] )
-        {
-            s1 += s[i];
-        }
-        else if ( s[i] <= 'z' && s[i] >= 'a' )
-        {
-            if ( s[i+1] == 'q' )
-            {
-                s1 += 'Q';
-                i += 3;
-            }
-            else if ( s[i] == 's' )
-            {
-                s1 += 'S';
-                i += 2;
-            }
-            else if ( s[i] == 'c' )
-            {
-                s1 += 'C';
-                i += 2;
-            }
-            else if ( s[i] == 'l' )
-            {
-                s1 += 'L';
-                i += 1;
-            }
-            else
-            {
-                s1 += 'T';
-                i += 1;
-            }
-        }
-        else
-        {
-            if (  ( i == 0 && ( s[i] == '-' ) ) || ( s[i] == '-'  && s[i-1] != ')'  && ( s[i-1] < '0' || s[i-1] > '9') ) )
-            {
-                s1 += '0';
-            }
-            s1 += s[i];
-        }
-    }
-    return s1;
-}
-
-void PrintStack( Stack *t )// Print the Stack from the last, to the first elements
-{
-    long double a = Pop( t );
-    while ( a != IMPOSS )
-    {
-        if ( abs( a - MINUS ) <= CMP )
-        {
-            cout << '-';
-        }
-        else if ( abs( a - DIV ) <= CMP )
-        {
-            cout << '/';
-        }
-        else if ( abs( a - MULT ) <= CMP )
-        {
-            cout << '*';
-        }
-        else if ( abs( a - PLUS ) <= CMP )
-        {
-            cout << '+';
-        }
-        else if ( abs( a - LOG ) <= CMP)
-        {
-            cout << "log";
-        }
-        else if ( abs( a - SQRT ) <= CMP)
-        {
-            cout << "sqrt";
-        }
-        else if ( abs( a - TAN ) <= CMP)
-        {
-            cout << "tan";
-        }
-        else if ( abs( a - COS ) <= CMP)
-        {
-            cout << "cos";
-        }
-        else if ( abs( a - SIN ) <= CMP)
-        {
-            cout << "sin";
-        }
-        else if ( abs( a - POW ) <= CMP)
-        {
-            cout << "^";
-        }
-        else
-        {
-            cout << a;
-        }
-        a = Pop( t );
-        cout << ' ';
-    }
-    cout << '\n';
-}
-
-bool IsOperand( char ch )
-{
-    return ch == '+' || ch == '-' || ch == '/' || ch == '*' || ch == '^';
-}
-
-bool IsNum( char ch )
-{
-    return ch >= '0' && ch <= '9';
-}
-
-bool IsCorrect( string s )// Checking if the example is wrong
-{
-    Stack *top = NULL;
-    char ch = s[0];
-    for ( int i = 1; i <= s.size(); ch = s[i++] )
-    {
-        if ( ch == '(' )
-        {
-            Push( top, '(' );
-        }
-        if ( ch == ')' )
-        {
-            long double a = Pop( top );
-            if ( a == IMPOSS )
-            {
-                return false;
-            }
-        }
-        if ( ( IsOperand( ch ) && i == s.size() ) ||  ( IsOperand( ch ) && IsOperand( s[i] ) ) )
-        {
-            return false;
-        }
-    }
-    long double a = Pop( top );
-    if ( a != IMPOSS )
-    {
-        return false;
-    }
-    return true;
-}
-
-void ReverseStack( Stack *&t )
-{
-    Stack *t1 = NULL;
-    while ( t != NULL )
-    {
-        Push( t1, Pop( t ) );
-    }
-    t = t1;
-}
-
-Stack *top2 = NULL;
-Stack *top1 = NULL;
-
-int main()
-{
-    string example;
-    cin >> example;
-    example = Reform( example );
-    char ch = example[0];
-    string s = "";
-    if ( !IsCorrect( example) )//If the example is wrong, we won't work with it
-    {
-        cout << "Error.";
-        return 0;
-    }
-    for ( int i = 0; i < example.size(); ch = example[++i] )
-    {
-        if ( ch <= '9' && ch >= '0' )//Getting integer from the example
-        {
-            s += ch;
-        }
-        else
-        {
-            if ( s[0] <= '9' && s[0] >= '0' )//Pushing the latest integer to the PRN
-            {
-                Push( top2, MakeDouble( s ) );
-            }
-            if ( ch != ')' )//Pushing the latest operand to the operand's stack
-            {
-                if ( ch == '-' )
-                {
-                    while ( !CanPush( top1, MINUS ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, MINUS );
-                }
-                if ( ch == '*' )
-                {
-                    while ( !CanPush( top1, MULT ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, MULT );
-                }
-                if ( ch == '/' )
-                {
-                    while ( !CanPush( top1, DIV ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, DIV );
-                }
-                if ( ch == '+' )
-                {
-                    while ( !CanPush( top1, PLUS ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, PLUS );
-                }
-                if ( ch == '(' )
-                {
-                    while ( !CanPush( top1, BRACK ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, BRACK );
-                }
-                if ( ch == '^' )
-                {
-                    while ( !CanPush( top1, POW ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, POW );
-                }
-                if ( ch == 'Q' )
-                {
-                    while ( !CanPush( top1, SQRT ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, SQRT );
-                }
-                if ( ch == 'T' )
-                {
-                    while ( !CanPush( top1, TAN ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, TAN );
-                }
-                if ( ch == 'S' )
-                {
-                    while ( !CanPush( top1, SIN ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, SIN );
-                }
-                if ( ch == 'L' )
-                {
-                    while ( !CanPush( top1, LOG ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, LOG );
-                }
-                if ( ch == 'C' )
-                {
-                    while ( !CanPush( top1, COS ) )
-                    {
-                        Push( top2, Pop( top1 ) );
-                    }
-                    Push( top1, COS );
-                }
-            }
-            else//moving all operands from brackets to the PRN
-            {
-                double a = 0;
-                while ( a != BRACK )//
-                {
-                    a = Pop( top1 );
-                    Push( top2, a );
-                }
-                Pop( top2 );
-            }
-            s = "";
-        }
-    }
-    if ( example[example.size() - 1] <= '9' && example[example.size() - 1] >= '0' )//If last number isn't in the PRN, we move it there
-    {
-        Push( top2, MakeDouble( s ) );
-    }
-    while ( top1 != NULL )//Moving all latest operands, that we didn't pull in PRN to it
-    {
-        Push( top2, Pop( top1 ) );
-    }
-    ReverseStack( top2 );//reversing PRN, to work with it in the right order
-    while ( top2 != NULL )//Counting PRN
-    {
-        long double a = Pop( top2 );
-        if ( abs( a - MINUS ) <= CMP )
-        {
-            long double a = Pop( top1 ), b = Pop( top1 );
-            if ( a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, b - a );
-        }
-        else if ( abs( a - DIV ) <= CMP )
-        {
-            long double a = Pop( top1 ), b = Pop( top1 );
-            if ( a == 0 || a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, b / a ) ;
-        }
-        else if ( abs( a - MULT ) <= CMP )
-        {
-            long double a = Pop( top1 ), b = Pop( top1 );
-            if ( a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, b * a );
-        }
-        else if ( abs( a - PLUS ) <= CMP )
-        {
-            long double a = Pop( top1 ), b = Pop( top1 );
-            if ( a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, b + a );
-        }
-        else if ( abs( a - SQRT ) <= CMP )
-        {
-            long double a = Pop( top1 );
-            if ( a == IMPOSS || a < 0 )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, pow( a, 0.5 ) );
-        }
-        else if ( abs( a - POW ) <= CMP )
-        {
-            long double a = Pop( top1 ), b = Pop( top1 );
-            if ( a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, pow( b, a ) );
-        }
-        else if ( abs( a - TAN ) <= CMP )
-        {
-            long double a = Pop( top1 );
-            if ( a == IMPOSS || abs( cos( a ) ) <= CMP )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, tan( a ) );
-        }
-        else if ( abs( a - COS ) <= CMP )
-        {
-            long double a = Pop( top1 );
-            if ( a == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, cos( a ) );
-        }
-        else if ( abs( a - SIN ) <= CMP )
-        {
-            long double a = Pop( top1 );
-            if ( a == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, sin( a ) );
-        }
-        else if ( abs( a - LOG ) <= CMP )
-        {
-            long double a = Pop( top1 );
-            if ( a == IMPOSS || a <= 0 )//Checking if we there are not enough numbers for this operand, so the example is incorrect
-            {
-                cout << "Error.";
-                return 0;
-            }
-            Push( top1, log( a ) );
-        }
-        else
-        {
-            Push( top1, a );
-        }
-    }
-    if ( top1 == NULL )//If there are no numbers in example, the example is incorrect
-    {
-        cout << "Error.";
-        return 0;
-    }
-    cout << setprecision(6) << fixed << Pop( top1 );//Printing the answer for the example
-    return 0;
-}// You can add other operands, if it necessary
+#include <bits/stdc++.h>
+
+using namespace std;
+
+const long double MINUS = 854321;
+const long double PLUS = 754321;
+const long double DIV = 654321;
+const long double MULT = 554321;
+const long double BRACK = 454321;
+const long double IMPOSS = 354321;
+const long double SIN = 1754321;
+const long double COS = 1654321;
+const long double SQRT = 1554321;
+const long double TAN = 1454321;
+const long double LOG = 1354321;
+const long double POW = 6354321;
+const long double CMP = 0.000001;
+const long double PI = 3.141593;
+//We can't make non-typed stack, but we should save our operands in the same stack? as numbers, so we need to have the const
+
+
+struct Stack{
+    long double info; // Any type you need
+    Stack *next;
+};
+
+void Push( Stack *&t, long double elem )//Add new element to the stack
+{
+    Stack *p = (Stack*) malloc(sizeof(Stack));
+    (*p).info = elem;
+    (*p).next = t;
+    t = p;
+}
+
+bool CanPush( Stack *t, long double elem )//Checking a priority of new operand and the latest operand
+{
+    if ( elem == MINUS || elem == PLUS )
+    {
+        if ( t != NULL && (*t).info != BRACK )
+        {
+            return false;
+        }
+    }
+    if ( elem == MULT || elem == DIV )
+    {
+        if ( t != NULL && !( (*t).info == PLUS || (*t).info == MINUS || (*t).info == BRACK ) )
+        {
+            return false;
+        }
+    }
+    if ( elem == SQRT || elem == SIN || elem == COS || elem == TAN || elem == LOG )
+    {
+        if ( t != NULL && !( (*t).info == PLUS || (*t).info == MINUS || (*t).info == DIV || (*t).info == MULT || (*t).info == BRACK || (*t).info == POW ) )
+        {
+            return false;
+        }
+    }
+    if ( elem == POW )
+    {
+        if ( t != NULL && !( (*t).info == PLUS || (*t).info == MINUS || (*t).info == DIV || (*t).info == MULT || (*t).info == POW || (*t).info == BRACK ) )
+        {
+            return false;
+        }
+    }
+    /*if ( elem == BRACK )
+    {
+        if ( t != NULL )
+        {
+            return false;
+        }
+    }*/
+    return true;
+}
+
+long double Pop( Stack *&t )// Get the first element from the stack and delete it
+{
+    if ( t == NULL )
+    {
+        return IMPOSS;
+    }
+    long double el = (*t).info;
+    t = (*t).next;
+    return el;
+}
+
+long double MakeDouble( string s )//Returning a double from a string
+{
+    long double a = 0;
+    for( int i = 0; i < s.size(); i++ )
+    {
+        a = a * 10 + s[i] - '0';
+    }
+    return a;
+}
+
+string Reform( string s )//Making a given example easier to work
+{
+    string s1 = "";
+    for ( int i = 0; i < s.size(); i++ )
+    {
+        if ( '0' <= s[i] && '9' >= s[i] )
+        {
+            s1 += s[i];
+        }
+        else if ( s[i] <= 'z' && s[i] >= 'a' )
+        {
+            if ( s[i+1] == 'q' )
+            {
+                s1 += 'Q';
+                i += 3;
+            }
+            else if ( s[i] == 's' )
+            {
+                s1 += 'S';
+                i += 2;
+            }
+            else if ( s[i] == 'c' )
+            {
+                s1 += 'C';
+                i += 2;
+            }
+            else if ( s[i] == 'l' )
+            {
+                s1 += 'L';
+                i += 1;
+            }
+            else
+            {
+                s1 += 'T';
+                i += 1;
+            }
+        }
+        else
+        {
+            if (  ( i == 0 && ( s[i] == '-' ) ) || ( s[i] == '-'  && s[i-1] != ')'  && ( s[i-1] < '0' || s[i-1] > '9') ) )
+            {
+                s1 += '0';
+            }
+            s1 += s[i];
+        }
+    }
+    return s1;
+}
+
+void PrintStack( Stack *t )// Print the Stack from the last, to the first elements
+{
+    long double a = Pop( t );
+    while ( a != IMPOSS )
+    {
+        if ( abs( a - MINUS ) <= CMP )
+        {
+            cout << '-';
+        }
+        else if ( abs( a - DIV ) <= CMP )
+        {
+            cout << '/';
+        }
+        else if ( abs( a - MULT ) <= CMP )
+        {
+            cout << '*';
+        }
+        else if ( abs( a - PLUS ) <= CMP )
+        {
+            cout << '+';
+        }
+        else if ( abs( a - LOG ) <= CMP)
+        {
+            cout << "log";
+        }
+        else if ( abs( a - SQRT ) <= CMP)
+        {
+            cout << "sqrt";
+        }
+        else if ( abs( a - TAN ) <= CMP)
+        {
+            cout << "tan";
+        }
+        else if ( abs( a - COS ) <= CMP)
+        {
+            cout << "cos";
+        }
+        else if ( abs( a - SIN ) <= CMP)
+        {
+            cout << "sin";
+        }
+        else if ( abs( a - POW ) <= CMP)
+        {
+            cout << "^";
+        }
+        else
+        {
+            cout << a;
+        }
+        a = Pop( t );
+        cout << ' ';
+    }
+    cout << '\n';
+}
+
+bool IsOperand( char ch )
+{
+    return ch == '+' || ch == '-' || ch == '/' || ch == '*' || ch == '^';
+}
+
+bool IsNum( char ch )
+{
+    return ch >= '0' && ch <= '9';
+}
+
+bool IsCorrect( string s )// Checking if the example is wrong
+{
+    Stack *top = NULL;
+    char ch = s[0];
+    for ( int i = 1; i <= s.size(); ch = s[i++] )
+    {
+        if ( ch == '(' )
+        {
+            Push( top, '(' );
+        }
+        if ( ch == ')' )
+        {
+            long double a = Pop( top );
+            if ( a == IMPOSS )
+            {
+                return false;
+            }
+        }
+        if ( ( IsOperand( ch ) && i == s.size() ) ||  ( IsOperand( ch ) && IsOperand( s[i] ) ) )
+        {
+            return false;
+        }
+    }
+    long double a = Pop( top );
+    if ( a != IMPOSS )
+    {
+        return false;
+    }
+    return true;
+}
+
+void ReverseStack( Stack *&t )
+{
+    Stack *t1 = NULL;
+    while ( t != NULL )
+    {
+        Push( t1, Pop( t ) );
+    }
+    t = t1;
+}
+
+Stack *top2 = NULL;
+Stack *top1 = NULL;
+
+int main()
+{
+    string example;
+    cin >> example;
+    example = Reform( example );
+    char ch = example[0];
+    string s = "";
+    if ( !IsCorrect( example) )//If the example is wrong, we won't work with it
+    {
+        cout << "Error.";
+        return 0;
+    }
+    for ( int i = 0; i < example.size(); ch = example[++i] )
+    {
+        if ( ch <= '9' && ch >= '0' )//Getting integer from the example
+        {
+            s += ch;
+        }
+        else
+        {
+            if ( s[0] <= '9' && s[0] >= '0' )//Pushing the latest integer to the PRN
+            {
+                Push( top2, MakeDouble( s ) );
+            }
+            if ( ch != ')' )//Pushing the latest operand to the operand's stack
+            {
+                if ( ch == '-' )
+                {
+                    while ( !CanPush( top1, MINUS ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, MINUS );
+                }
+                if ( ch == '*' )
+                {
+                    while ( !CanPush( top1, MULT ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, MULT );
+                }
+                if ( ch == '/' )
+                {
+                    while ( !CanPush( top1, DIV ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, DIV );
+                }
+                if ( ch == '+' )
+                {
+                    while ( !CanPush( top1, PLUS ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, PLUS );
+                }
+                if ( ch == '(' )
+                {
+                    while ( !CanPush( top1, BRACK ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, BRACK );
+                }
+                if ( ch == '^' )
+                {
+                    while ( !CanPush( top1, POW ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, POW );
+                }
+                if ( ch == 'Q' )
+                {
+                    while ( !CanPush( top1, SQRT ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, SQRT );
+                }
+                if ( ch == 'T' )
+                {
+                    while ( !CanPush( top1, TAN ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, TAN );
+                }
+                if ( ch == 'S' )
+                {
+                    while ( !CanPush( top1, SIN ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, SIN );
+                }
+                if ( ch == 'L' )
+                {
+                    while ( !CanPush( top1, LOG ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, LOG );
+                }
+                if ( ch == 'C' )
+                {
+                    while ( !CanPush( top1, COS ) )
+                    {
+                        Push( top2, Pop( top1 ) );
+                    }
+                    Push( top1, COS );
+                }
+            }
+            else//moving all operands from brackets to the PRN
+            {
+                double a = 0;
+                while ( a != BRACK )//
+                {
+                    a = Pop( top1 );
+                    Push( top2, a );
+                }
+                Pop( top2 );
+            }
+            s = "";
+        }
+    }
+    if ( example[example.size() - 1] <= '9' && example[example.size() - 1] >= '0' )//If last number isn't in the PRN, we move it there
+    {
+        Push( top2, MakeDouble( s ) );
+    }
+    while ( top1 != NULL )//Moving all latest operands, that we didn't pull in PRN to it
+    {
+        Push( top2, Pop( top1 ) );
+    }
+    ReverseStack( top2 );//reversing PRN, to work with it in the right order
+    while ( top2 != NULL )//Counting PRN
+    {
+        long double a = Pop( top2 );
+        if ( abs( a - MINUS ) <= CMP )
+        {
+            long double a = Pop( top1 ), b = Pop( top1 );
+            if ( a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, b - a );
+        }
+        else if ( abs( a - DIV ) <= CMP )
+        {
+            long double a = Pop( top1 ), b = Pop( top1 );
+            if ( a == 0 || a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, b / a ) ;
+        }
+        else if ( abs( a - MULT ) <= CMP )
+        {
+            long double a = Pop( top1 ), b = Pop( top1 );
+            if ( a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, b * a );
+        }
+        else if ( abs( a - PLUS ) <= CMP )
+        {
+            long double a = Pop( top1 ), b = Pop( top1 );
+            if ( a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, b + a );
+        }
+        else if ( abs( a - SQRT ) <= CMP )
+        {
+            long double a = Pop( top1 );
+            if ( a == IMPOSS || a < 0 )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, pow( a, 0.5 ) );
+        }
+        else if ( abs( a - POW ) <= CMP )
+        {
+            long double a = Pop( top1 ), b = Pop( top1 );
+            if ( a == IMPOSS || b == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, pow( b, a ) );
+        }
+        else if ( abs( a - TAN ) <= CMP )
+        {
+            long double a = Pop( top1 );
+            if ( a == IMPOSS || abs( cos( a ) ) <= CMP )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, tan( a ) );
+        }
+        else if ( abs( a - COS ) <= CMP )
+        {
+            long double a = Pop( top1 );
+            if ( a == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, cos( a ) );
+        }
+        else if ( abs( a - SIN ) <= CMP )
+        {
+            long double a = Pop( top1 );
+            if ( a == IMPOSS )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, sin( a ) );
+        }
+        else if ( abs( a - LOG ) <= CMP )
+        {
+            long double a = Pop( top1 );
+            if ( a == IMPOSS || a <= 0 )//Checking if we there are not enough numbers for this operand, so the example is incorrect
+            {
+                cout << "Error.";
+                return 0;
+            }
+            Push( top1, log( a ) );
+        }
+        else
+        {
+            Push( top1, a );
+        }
+    }
+    if ( top1 == NULL )//If there are no numbers in example, the example is incorrect
+    {
+        cout << "Error.";
+        return 0;
+    }
+    cout << setprecision(6) << fixed << Pop( top1 );//Printing the answer for the example
+    return 0;
+}// You can add other operands, if it necessary
diff --git a/Check_Balance_parenthesis.cpp b/Check_Balance_parenthesis.cpp
new file mode 100644
index 00000000..09776948
--- /dev/null
+++ b/Check_Balance_parenthesis.cpp
@@ -0,0 +1,67 @@
+#include<bits/stdc++.h>
+using namespace std;
+void balance_parentheses()
+{
+    stack<char> st;
+    string str;
+    cout << "Enter string may or may not containing parentheses:: ";
+    cin >> str;
+    int flag = 0; //flag is an arbitrary variable
+    for (int i = 0; i < str.size();i++)
+    //for length of the string calculated by number of letters
+    {
+        if (str[i] == '{' || str[i] == '[' || str[i] == '(')
+        {
+            st.push(str[i]);       //push function to enter terms in a stack;
+            flag = 1;
+        }
+        if (!st.empty())
+        {
+            if (str[i] == '}')
+            {
+                if (st.top() == '{')     // top of the stack;
+                {
+                    st.pop();    //pop function to delete terms from the top of array;
+                    continue;
+                }
+                else
+                    break;
+            }
+            if (str[i] == ']')
+            {
+                if (st.top() == '[')
+                {
+                    st.pop();
+                    continue;
+                }
+                else
+                    break;
+            }
+            if (str[i] == ')')
+            {
+                if (st.top() == '(')
+                {
+                    st.pop();
+                    continue;
+                }
+                else
+                    break;
+            }
+        }
+        else
+            break;
+    }
+    if ((st.empty()) && (flag == 1))
+        cout << "YES" << endl;
+    else
+        cout << "NO" << endl;
+}
+int main()
+{
+    int t;
+    cout << "Enter number of test cases:: ";
+    cin >> t;
+    for (int i = 0; i < t; i++)
+        balance_parentheses();       //calling of function for checking of brackets;
+    return 0;
+}
diff --git a/Clock Sort b/Clock Sort
new file mode 100644
index 00000000..a18291cc
--- /dev/null
+++ b/Clock Sort	
@@ -0,0 +1,78 @@
+#include<bits/stdc++.h>
+using namespace std;
+
+void display(int *array, int size) {
+   for(int i = 0; i<size; i++)
+      cout << array[i] << " ";
+   cout << endl;
+}
+void merge(int *array, int l, int m, int r) 
+{
+   int i, j, k, nl, nr;
+   nl = m-l+1; 
+   nr = r-m;
+   int larr[nl], rarr[nr];
+   
+   for(i = 0; i<nl; i++)
+      larr[i] = array[l+i];
+   
+   for(j = 0; j<nr; j++)
+      rarr[j] = array[m+1+j];
+   
+   i = 0; j = 0; k = l;
+   
+   while(i < nl && j<nr) 
+   {
+      if(larr[i] <= rarr[j]) 
+	  {
+         array[k] = larr[i];
+         i++;
+      }
+	  else
+	  {
+         array[k] = rarr[j];
+         j++;
+      }
+      k++;
+   }
+   
+   while(i<nl) 
+   {       
+      array[k] = larr[i];
+      i++; k++;
+   }
+   while(j<nr) 
+   {     
+      array[k] = rarr[j];
+      j++; k++;
+   }
+}
+
+void mergeSort(int *array, int l, int r) 
+{
+   int m;
+   if(l < r) {
+      int m = l+(r-l)/2;
+      mergeSort(array, l, m);
+      mergeSort(array, m+1, r);
+      merge(array, l, m, r);
+   }
+}
+
+int main() {
+   int n;
+   cin >> n;
+   int arr[n];   
+   for(int i = 0; i<n; i++) {
+      cin >> arr[i];
+   }
+   clock_t start,end;
+
+   start = clock();
+   mergeSort(arr, 0, n-1); 
+   end = clock();
+   double time_taken = double(end - start) / double(CLOCKS_PER_SEC);
+   cout<<"Time Taken "<<time_taken<<endl;
+   cout << "After Sorting: "<<endl;
+   display(arr, n);
+}
diff --git a/Convex HULL/monotone.cpp b/Convex HULL/monotone.cpp
new file mode 100644
index 00000000..7278d254
--- /dev/null
+++ b/Convex HULL/monotone.cpp	
@@ -0,0 +1,91 @@
+// C++ implementation of the approach 
+#include <bits/stdc++.h> 
+#define llu long long int 
+using namespace std; 
+
+struct Point { 
+
+llu x, y; 
+
+bool operator<(Point p) 
+{ 
+return x < p.x || (x == p.x && y < p.y); 
+} 
+}; 
+
+// Cross product of two vectors OA and OB 
+// returns positive for counter clockwise 
+// turn and negative for clockwise turn 
+llu cross_product(Point O, Point A, Point B) 
+{ 
+return (A.x - O.x) * (B.y - O.y) 
+- (A.y - O.y) * (B.x - O.x); 
+} 
+
+// Returns a list of points on the convex hull 
+// in counter-clockwise order 
+vector<Point> convex_hull(vector<Point> A) 
+{ 
+int n = A.size(), k = 0; 
+
+if (n <= 3) 
+return A; 
+vector<Point> ans(2 * n); 
+
+// Sort points lexicographically 
+sort(A.begin(), A.end()); 
+
+// Build lower hull 
+for (int i = 0; i < n; ++i) { 
+
+// If the point at K-1 position is not a part 
+// of hull as vector from ans[k-2] to ans[k-1] 
+// and ans[k-2] to A[i] has a clockwise turn 
+while (k >= 2 && cross_product(ans[k - 2], 
+ans[k - 1], A[i]) <= 0) 
+k--; 
+ans[k++] = A[i]; 
+} 
+
+// Build upper hull 
+for (size_t i = n - 1, t = k + 1; i > 0; --i) { 
+
+// If the point at K-1 position is not a part 
+// of hull as vector from ans[k-2] to ans[k-1] 
+// and ans[k-2] to A[i] has a clockwise turn 
+while (k >= t && cross_product(ans[k - 2], 
+ans[k - 1], A[i - 1]) <= 0) 
+k--; 
+ans[k++] = A[i - 1]; 
+} 
+
+// Resize the array to desired size 
+ans.resize(k - 1); 
+
+return ans; 
+} 
+
+// Driver code 
+int main() 
+{ 
+vector<Point> points; 
+
+// Add points 
+points.push_back({ 0, 3 }); 
+points.push_back({ 2, 2 }); 
+points.push_back({ 1, 1 }); 
+points.push_back({ 2, 1 }); 
+points.push_back({ 3, 0 }); 
+points.push_back({ 0, 0 }); 
+points.push_back({ 3, 3 }); 
+
+// Find the convex hull 
+vector<Point> ans = convex_hull(points); 
+
+// Print the convex hull 
+for (int i = 0; i < ans.size(); i++) 
+cout << "(" << ans[i].x << ", "
+<< ans[i].y << ")" << endl; 
+
+return 0; 
+} 
diff --git a/Convex HULL/readme.md b/Convex HULL/readme.md
new file mode 100644
index 00000000..006800f3
--- /dev/null
+++ b/Convex HULL/readme.md	
@@ -0,0 +1,19 @@
+Convex Hull --> Monotone chain algorithm
+
+Given a set of points, the task is to find the covex hull of the given points. The convex hull is the smallest convex polygon that contains all the points.
+
+
+Examples:
+
+Input: Points[] = {{0, 3}, {2, 2}, {1, 1}, {2, 1}, {3, 0}, {0, 0}, {3, 3}}
+Output:
+(0, 0)
+(3, 0)
+(3, 3)
+(0, 3) 
+
+
+
+Approach--> Monotone chain algorithm constructs the convex hull in O(n * log(n)) time. We have to sort the points first and then calculate the upper and lower hulls in O(n) time. The points will be sorted with respect to x-coordinates (with respect to y-coordinates in case of a tie in x-coordinates), we will then find the left most point and then try to rotate in clockwise direction and find the next point and then repeat the step until we reach the rightmost point and then again rotate in the the clockwise direction and find the lower hull.
+
+
diff --git a/Dijkstra Java Program.txt b/Dijkstra Java Program.java
similarity index 96%
rename from Dijkstra Java Program.txt
rename to Dijkstra Java Program.java
index c2ea68c1..4e13fe54 100644
--- a/Dijkstra Java Program.txt	
+++ b/Dijkstra Java Program.java	
@@ -1,59 +1,59 @@
-import java.util.Scanner;
-
-public class Dijkstra{
-
-private static void dijkstra(int [][] adjacencyMatrix){
- int v = adjacencyMatrix.length;
- boolean visited[] = new boolean[v];
- int distance[] = new int[v];
- distance[0] = 0;
- for(int i=1;i<v;i++){
-   distance[i] = Integer.MAX_VALUE;
-  }
- for(int i=0;i<v-1;i++){
-   int minVertex = findMinVertex(distance,visited);
-   visited[miniVertex] = true;
-   for(int j=0;j<v;j++){
-     if(adjacencyMatrix[minVertex][j] != 0 && !visited[j] && distance[minVertex] != Integer.MAX_VALUE){
-         int newDist = distance[minVertex] + adjacencyMatrix[minVertex][j];
-           if(newDist < distance[j]){
-               distance[j] = newDist;
-              }
-        }
-    } 
-}
-    
- for(int i=0;i<v;i++){
-      System.out.println(i + " " + distance[i]);
- }
-
-}
-
-private static int findMinVertex(int[] distance, boolean visited[]){
-
-    int minVertex = -1;
-    for(int i=0;i<distance.length;i++){
-      if(!visited[i] && (minVertex == -1 || distance[i] < distance[minVeretx])){
-         minVertex = i ;
-      }
-    }
-     return minVertex;
-}
-public static void main(String[] args){
-
-    Scanner s = new Scanner(System.in); 
-    int v = s.nextInt();
-    int e = s.nextInt();
-    int adjacencyMatrix[][] = new int[v][v];
-   
-    for(int i=0;i<e;i++){
-       int v1 = s.nextInt();
-       int v2 = s.nextInt();
-       int weight = s.nextInt();
-       adjacencyMatrix[v1][v2] = weight;
-       adjacencyMatrix[v2][v1] = weight;
-    }
-  dijkstra(adjacencyMatrix);
- }
-
-}
\ No newline at end of file
+import java.util.Scanner;
+
+public class Dijkstra{
+
+private static void dijkstra(int [][] adjacencyMatrix){
+ int v = adjacencyMatrix.length;
+ boolean visited[] = new boolean[v];
+ int distance[] = new int[v];
+ distance[0] = 0;
+ for(int i=1;i<v;i++){
+   distance[i] = Integer.MAX_VALUE;
+  }
+ for(int i=0;i<v-1;i++){
+   int minVertex = findMinVertex(distance,visited);
+   visited[miniVertex] = true;
+   for(int j=0;j<v;j++){
+     if(adjacencyMatrix[minVertex][j] != 0 && !visited[j] && distance[minVertex] != Integer.MAX_VALUE){
+         int newDist = distance[minVertex] + adjacencyMatrix[minVertex][j];
+           if(newDist < distance[j]){
+               distance[j] = newDist;
+              }
+        }
+    } 
+}
+    
+ for(int i=0;i<v;i++){
+      System.out.println(i + " " + distance[i]);
+ }
+
+}
+
+private static int findMinVertex(int[] distance, boolean visited[]){
+
+    int minVertex = -1;
+    for(int i=0;i<distance.length;i++){
+      if(!visited[i] && (minVertex == -1 || distance[i] < distance[minVeretx])){
+         minVertex = i ;
+      }
+    }
+     return minVertex;
+}
+public static void main(String[] args){
+
+    Scanner s = new Scanner(System.in); 
+    int v = s.nextInt();
+    int e = s.nextInt();
+    int adjacencyMatrix[][] = new int[v][v];
+   
+    for(int i=0;i<e;i++){
+       int v1 = s.nextInt();
+       int v2 = s.nextInt();
+       int weight = s.nextInt();
+       adjacencyMatrix[v1][v2] = weight;
+       adjacencyMatrix[v2][v1] = weight;
+    }
+  dijkstra(adjacencyMatrix);
+ }
+
+}
diff --git a/Dijkstra/Java/DroneRouter.java b/Dijkstra/Java/DroneRouter.java
index d0898c4c..263f1b1e 100644
--- a/Dijkstra/Java/DroneRouter.java
+++ b/Dijkstra/Java/DroneRouter.java
@@ -1,295 +1,295 @@
-/*
- * @author Samy Rezzag
- */
-package package;
-
-import java.io.BufferedReader;
-import java.io.File;
-import java.io.FileNotFoundException;
-import java.io.FileReader;
-import java.io.IOException;
-import java.util.ArrayList;
-import java.util.HashMap;
-import java.util.Map;
-import java.util.NavigableSet;
-import java.util.Scanner;
-import java.util.TreeSet;
-
-import package.Router;
-
-/*
- * This DroneRouter class implements the Router interface. This class is 
- * responsible for interfacing between user command input and with the Dijsktra 
- * Algorithm. This class has inner classes of Graph, Edge, and Vertex.
- */
-public class DroneRouter implements Router {
-
-	// Saves the Drone starting point.
-	private String startingPoint;
-	// Graph array which holds all the paths/edges
-	private Graph.Edge[] GRAPH = null;
-
-	// Constructor for DroneRouter
-	public DroneRouter() {
-	}
-
-	/*
-	 * Finds absolute file path, use buffered reader to count lines to instantiate
-	 * the Graph.Edge GRAPH array's length.
-	 * 
-	 * Uses scanner to scan each line and create a edges into Graph.Edge GRAPH
-	 * 
-	 * @param routesFilePath path to routing file
-	 * 
-	 * @param startingPoint the initial starting point of the drone
-	 */
-	@Override
-	public void loadRoutes(String routesFilePath, String startingPoint) {
-		this.startingPoint = startingPoint;
-		String sentence = "";
-		File file = new File(routesFilePath).getAbsoluteFile();
-
-		BufferedReader reader = null;
-		try {
-			reader = new BufferedReader(new FileReader(file));
-			int lines = 0;
-			while (reader.readLine() != null)
-				lines++;
-			reader.close();
-			GRAPH = new Graph.Edge[lines];
-		} catch (IOException e1) {
-			throw new IllegalArgumentException("Illegal Argument Exception, File Not Found: " + routesFilePath);
-		}
-
-		try {
-			int counter = 0;
-			Scanner input = new Scanner(file);
-			while (input.hasNextLine()) {
-				sentence = input.nextLine();
-				String[] values = sentence.split("\\s+");
-				GRAPH[counter] = new Graph.Edge(values[0], values[1], Integer.parseInt(values[2]));
-				counter++;
-			}
-			input.close();
-
-		} catch (FileNotFoundException e) {
-			e.printStackTrace();
-		}
-	}
-
-	/*
-	 * Finds route. Creates an instance of Graph with the provided Graph.Edge GRAPH
-	 * made by routing file. Runes the dijkstra algorithm in respect to the starting
-	 * point given iniitally.
-	 * 
-	 * @param destination to find path to.
-	 */
-	@Override
-	public String[] getRoute(String destination) {
-		Graph g = new Graph(GRAPH);
-		g.dijkstra(startingPoint);
-
-		return g.printPath(destination);
-	}
-
-	/*
-	 * Finds cost. Creates an instance of Graph with the provided Graph.Edge GRAPH
-	 * made by routing file. Runes the dijkstra algorithm in respect to the starting
-	 * point given iniitally.
-	 * 
-	 * @param destination to find path to.
-	 */
-	@Override
-	public int getPathCost(String destination) {
-		Graph g = new Graph(GRAPH);
-		g.dijkstra(startingPoint);
-
-		return g.printCost(destination);
-	}
-}
-
-class Graph {
-	// mapping of vertex names to Vertex objects, built from a set of Edges
-	private final Map<String, Vertex> graph;
-	private static ArrayList<String> temp = new ArrayList<String>();
-	private static int cost = 0;
-
-	/**
-	 * One edge of the graph (only used by Graph constructor)
-	 */
-	public static class Edge {
-		public final String source, destination;
-		public final int weight;
-
-		public Edge(String source, String destination, int weight) {
-			this.source = source;
-			this.destination = destination;
-			this.weight = weight;
-		}
-	}
-
-	/**
-	 * One vertex of the graph, with mappings of neighboring vertexes
-	 */
-	public static class Vertex implements Comparable<Vertex> {
-		public final String name;
-		// MAX_VALUE assumed to be infinity
-		public int weight = Integer.MAX_VALUE;
-		public Vertex previous = null;
-		public final Map<Vertex, Integer> neighbours = new HashMap<>();
-
-		public Vertex(String name) {
-			this.name = name;
-		}
-
-		/*
-		 * Will traverse and calculate which paths are taken to get from source to
-		 * destination. Will add the node/edge to a temp arraylist. Arraylist is
-		 * converted to array and returned.
-		 * 
-		 * Will return an empty array if null edge.
-		 */
-		private String[] printPath() {
-
-			if (this == this.previous) {
-				temp.add(this.name);
-			} else if (this.previous == null) {
-				String[] emptyArray = new String[0];
-				return emptyArray;
-			} else {
-				this.previous.printPath();
-				temp.add(this.name);
-			}
-			String[] path = new String[temp.size()];
-			path = temp.toArray(path);
-			return path;
-		}
-
-		/*
-		 * Will traverse and calculate which costs are taken to get from source to
-		 * destination. Will add the node/edge to a running tally.
-		 * 
-		 * Will return -1 if null.
-		 */
-		private int printCost() {
-			if (this == this.previous) {
-				cost += this.weight;
-			} else if (this.previous == null) {
-				return Router.NO_ROUTE;
-			} else {
-				this.previous.printPath();
-				cost += this.weight;
-			}
-			return cost;
-		}
-
-		public int compareTo(Vertex other) {
-			if (weight == other.weight)
-				return name.compareTo(other.name);
-
-			return Integer.compare(weight, other.weight);
-		}
-	}
-
-	/**
-	 * Builds a graph from a set of edges
-	 */
-	public Graph(Edge[] edges) {
-		graph = new HashMap<>(edges.length);
-
-		// one pass to find all vertices
-		for (Edge e : edges) {
-			if (!graph.containsKey(e.source))
-				graph.put(e.source, new Vertex(e.source));
-			if (!graph.containsKey(e.destination))
-				graph.put(e.destination, new Vertex(e.destination));
-		}
-
-		// another pass to set neighbouring vertices
-		for (Edge e : edges) {
-			graph.get(e.source).neighbours.put(graph.get(e.destination), e.weight);
-			// graph.get(e.destination).neighbours.put(graph.get(e.source), e.weight); //
-			// also do this for
-			// an undirected graph
-		}
-	}
-
-	/**
-	 * Runs dijkstras algorithm with the startPoint specified earlier.
-	 * 
-	 * @param startingPoint the vertex to start on.
-	 */
-	public void dijkstra(String startingPoint) {
-		if (!graph.containsKey(startingPoint)) {
-			throw new IllegalArgumentException("Illegal Argument Exception on value: " + startingPoint);
-		}
-		final Vertex source = graph.get(startingPoint);
-		NavigableSet<Vertex> q = new TreeSet<>();
-
-		// set-up vertices
-		for (Vertex v : graph.values()) {
-			v.previous = v == source ? source : null;
-			v.weight = v == source ? 0 : Integer.MAX_VALUE;
-			q.add(v);
-		}
-		dijkstra(q);
-	}
-
-	/**
-	 * Implementation of dijkstra's algorithm using a binary heap.
-	 */
-	private void dijkstra(final NavigableSet<Vertex> q) {
-		Vertex u, v;
-		while (!q.isEmpty()) {
-			// vertex with shortest weightance (first iteration will return source)
-			u = q.pollFirst();
-			if (u.weight == Integer.MAX_VALUE)
-				break; // we can ignore u (and any other remaining vertices) since they are unreachable
-
-			// look at weightances to each neighbour
-			for (Map.Entry<Vertex, Integer> a : u.neighbours.entrySet()) {
-				v = a.getKey(); // the neighbour in this iteration
-
-				final int alternateDist = u.weight + a.getValue();
-				if (alternateDist < v.weight) { // shorter path to neighbour found
-					q.remove(v);
-					v.weight = alternateDist;
-					v.previous = u;
-					q.add(v);
-				}
-			}
-		}
-	}
-
-	/**
-	 * Helper method to get the path of the vertices taken from stratingPoint to
-	 * destination
-	 * 
-	 * @param destination
-	 * @return array
-	 */
-	public String[] printPath(String destination) {
-		if (!graph.containsKey(destination)) {
-			throw new IllegalArgumentException("Invalid Destination, " + destination);
-		} else {
-			Graph.temp = new ArrayList<String>();
-			return graph.get(destination).printPath();
-		}
-	}
-
-	/**
-	 * Helper method to get the cost of the vertices taken from stratingPoint to
-	 * destination
-	 * 
-	 * @param destination
-	 * @return cost
-	 */
-	public int printCost(String destination) {
-		if (!graph.containsKey(destination)) {
-			throw new IllegalArgumentException("Invalid Destination, " + destination);
-		} else {
-			Graph.cost = 0;
-			return graph.get(destination).printCost();
-		}
-	}
-}
+/*
+ * @author Samy Rezzag
+ */
+package package;
+
+import java.io.BufferedReader;
+import java.io.File;
+import java.io.FileNotFoundException;
+import java.io.FileReader;
+import java.io.IOException;
+import java.util.ArrayList;
+import java.util.HashMap;
+import java.util.Map;
+import java.util.NavigableSet;
+import java.util.Scanner;
+import java.util.TreeSet;
+
+import package.Router;
+
+/*
+ * This DroneRouter class implements the Router interface. This class is 
+ * responsible for interfacing between user command input and with the Dijsktra 
+ * Algorithm. This class has inner classes of Graph, Edge, and Vertex.
+ */
+public class DroneRouter implements Router {
+
+	// Saves the Drone starting point.
+	private String startingPoint;
+	// Graph array which holds all the paths/edges
+	private Graph.Edge[] GRAPH = null;
+
+	// Constructor for DroneRouter
+	public DroneRouter() {
+	}
+
+	/*
+	 * Finds absolute file path, use buffered reader to count lines to instantiate
+	 * the Graph.Edge GRAPH array's length.
+	 * 
+	 * Uses scanner to scan each line and create a edges into Graph.Edge GRAPH
+	 * 
+	 * @param routesFilePath path to routing file
+	 * 
+	 * @param startingPoint the initial starting point of the drone
+	 */
+	@Override
+	public void loadRoutes(String routesFilePath, String startingPoint) {
+		this.startingPoint = startingPoint;
+		String sentence = "";
+		File file = new File(routesFilePath).getAbsoluteFile();
+
+		BufferedReader reader = null;
+		try {
+			reader = new BufferedReader(new FileReader(file));
+			int lines = 0;
+			while (reader.readLine() != null)
+				lines++;
+			reader.close();
+			GRAPH = new Graph.Edge[lines];
+		} catch (IOException e1) {
+			throw new IllegalArgumentException("Illegal Argument Exception, File Not Found: " + routesFilePath);
+		}
+
+		try {
+			int counter = 0;
+			Scanner input = new Scanner(file);
+			while (input.hasNextLine()) {
+				sentence = input.nextLine();
+				String[] values = sentence.split("\\s+");
+				GRAPH[counter] = new Graph.Edge(values[0], values[1], Integer.parseInt(values[2]));
+				counter++;
+			}
+			input.close();
+
+		} catch (FileNotFoundException e) {
+			e.printStackTrace();
+		}
+	}
+
+	/*
+	 * Finds route. Creates an instance of Graph with the provided Graph.Edge GRAPH
+	 * made by routing file. Runes the dijkstra algorithm in respect to the starting
+	 * point given iniitally.
+	 * 
+	 * @param destination to find path to.
+	 */
+	@Override
+	public String[] getRoute(String destination) {
+		Graph g = new Graph(GRAPH);
+		g.dijkstra(startingPoint);
+
+		return g.printPath(destination);
+	}
+
+	/*
+	 * Finds cost. Creates an instance of Graph with the provided Graph.Edge GRAPH
+	 * made by routing file. Runes the dijkstra algorithm in respect to the starting
+	 * point given iniitally.
+	 * 
+	 * @param destination to find path to.
+	 */
+	@Override
+	public int getPathCost(String destination) {
+		Graph g = new Graph(GRAPH);
+		g.dijkstra(startingPoint);
+
+		return g.printCost(destination);
+	}
+}
+
+class Graph {
+	// mapping of vertex names to Vertex objects, built from a set of Edges
+	private final Map<String, Vertex> graph;
+	private static ArrayList<String> temp = new ArrayList<String>();
+	private static int cost = 0;
+
+	/**
+	 * One edge of the graph (only used by Graph constructor)
+	 */
+	public static class Edge {
+		public final String source, destination;
+		public final int weight;
+
+		public Edge(String source, String destination, int weight) {
+			this.source = source;
+			this.destination = destination;
+			this.weight = weight;
+		}
+	}
+
+	/**
+	 * One vertex of the graph, with mappings of neighboring vertexes
+	 */
+	public static class Vertex implements Comparable<Vertex> {
+		public final String name;
+		// MAX_VALUE assumed to be infinity
+		public int weight = Integer.MAX_VALUE;
+		public Vertex previous = null;
+		public final Map<Vertex, Integer> neighbours = new HashMap<>();
+
+		public Vertex(String name) {
+			this.name = name;
+		}
+
+		/*
+		 * Will traverse and calculate which paths are taken to get from source to
+		 * destination. Will add the node/edge to a temp arraylist. Arraylist is
+		 * converted to array and returned.
+		 * 
+		 * Will return an empty array if null edge.
+		 */
+		private String[] printPath() {
+
+			if (this == this.previous) {
+				temp.add(this.name);
+			} else if (this.previous == null) {
+				String[] emptyArray = new String[0];
+				return emptyArray;
+			} else {
+				this.previous.printPath();
+				temp.add(this.name);
+			}
+			String[] path = new String[temp.size()];
+			path = temp.toArray(path);
+			return path;
+		}
+
+		/*
+		 * Will traverse and calculate which costs are taken to get from source to
+		 * destination. Will add the node/edge to a running tally.
+		 * 
+		 * Will return -1 if null.
+		 */
+		private int printCost() {
+			if (this == this.previous) {
+				cost += this.weight;
+			} else if (this.previous == null) {
+				return Router.NO_ROUTE;
+			} else {
+				this.previous.printPath();
+				cost += this.weight;
+			}
+			return cost;
+		}
+
+		public int compareTo(Vertex other) {
+			if (weight == other.weight)
+				return name.compareTo(other.name);
+
+			return Integer.compare(weight, other.weight);
+		}
+	}
+
+	/**
+	 * Builds a graph from a set of edges
+	 */
+	public Graph(Edge[] edges) {
+		graph = new HashMap<>(edges.length);
+
+		// one pass to find all vertices
+		for (Edge e : edges) {
+			if (!graph.containsKey(e.source))
+				graph.put(e.source, new Vertex(e.source));
+			if (!graph.containsKey(e.destination))
+				graph.put(e.destination, new Vertex(e.destination));
+		}
+
+		// another pass to set neighbouring vertices
+		for (Edge e : edges) {
+			graph.get(e.source).neighbours.put(graph.get(e.destination), e.weight);
+			// graph.get(e.destination).neighbours.put(graph.get(e.source), e.weight); //
+			// also do this for
+			// an undirected graph
+		}
+	}
+
+	/**
+	 * Runs dijkstras algorithm with the startPoint specified earlier.
+	 * 
+	 * @param startingPoint the vertex to start on.
+	 */
+	public void dijkstra(String startingPoint) {
+		if (!graph.containsKey(startingPoint)) {
+			throw new IllegalArgumentException("Illegal Argument Exception on value: " + startingPoint);
+		}
+		final Vertex source = graph.get(startingPoint);
+		NavigableSet<Vertex> q = new TreeSet<>();
+
+		// set-up vertices
+		for (Vertex v : graph.values()) {
+			v.previous = v == source ? source : null;
+			v.weight = v == source ? 0 : Integer.MAX_VALUE;
+			q.add(v);
+		}
+		dijkstra(q);
+	}
+
+	/**
+	 * Implementation of dijkstra's algorithm using a binary heap.
+	 */
+	private void dijkstra(final NavigableSet<Vertex> q) {
+		Vertex u, v;
+		while (!q.isEmpty()) {
+			// vertex with shortest weightance (first iteration will return source)
+			u = q.pollFirst();
+			if (u.weight == Integer.MAX_VALUE)
+				break; // we can ignore u (and any other remaining vertices) since they are unreachable
+
+			// look at weightances to each neighbour
+			for (Map.Entry<Vertex, Integer> a : u.neighbours.entrySet()) {
+				v = a.getKey(); // the neighbour in this iteration
+
+				final int alternateDist = u.weight + a.getValue();
+				if (alternateDist < v.weight) { // shorter path to neighbour found
+					q.remove(v);
+					v.weight = alternateDist;
+					v.previous = u;
+					q.add(v);
+				}
+			}
+		}
+	}
+
+	/**
+	 * Helper method to get the path of the vertices taken from stratingPoint to
+	 * destination
+	 * 
+	 * @param destination
+	 * @return array
+	 */
+	public String[] printPath(String destination) {
+		if (!graph.containsKey(destination)) {
+			throw new IllegalArgumentException("Invalid Destination, " + destination);
+		} else {
+			Graph.temp = new ArrayList<String>();
+			return graph.get(destination).printPath();
+		}
+	}
+
+	/**
+	 * Helper method to get the cost of the vertices taken from stratingPoint to
+	 * destination
+	 * 
+	 * @param destination
+	 * @return cost
+	 */
+	public int printCost(String destination) {
+		if (!graph.containsKey(destination)) {
+			throw new IllegalArgumentException("Invalid Destination, " + destination);
+		} else {
+			Graph.cost = 0;
+			return graph.get(destination).printCost();
+		}
+	}
+}
diff --git a/Dijkstra/Java/DroneRouterTest.java b/Dijkstra/Java/DroneRouterTest.java
index fe96e4bb..ff3ce228 100644
--- a/Dijkstra/Java/DroneRouterTest.java
+++ b/Dijkstra/Java/DroneRouterTest.java
@@ -1,32 +1,32 @@
-import static org.junit.jupiter.api.Assertions.assertArrayEquals;
-import static org.junit.jupiter.api.Assertions.assertEquals;
-import static org.junit.jupiter.api.Assertions.assertThrows;
-
-import org.junit.jupiter.api.Test;
-
-import DroneRouter;
-
-class DroneRouterTest {
-
-	@Test
-	void test() {
-		Router router = new DroneRouter();
-		router.loadRoutes("routes0.txt", "A");
-		assertArrayEquals(new String[] { "A", "B", "G" }, router.getRoute("G"));
-		assertEquals(17, router.getPathCost("G"));
-		assertThrows(IllegalArgumentException.class, () -> router.getRoute("Z"));
-		assertArrayEquals(new String[] {}, router.getRoute("M"));
-		assertEquals(Router.NO_ROUTE, router.getPathCost("M"));
-	}
-
-	@Test
-	void test2() {
-		Router router = new DroneRouter();
-		router.loadRoutes("routes1.txt", "CHI");
-		assertArrayEquals(new String[] { "CHI", "MSP", "DEN", "LAS" }, router.getRoute("LAS"));
-		assertEquals(2600, router.getPathCost("DEN"));
-		assertThrows(IllegalArgumentException.class, () -> router.getRoute("Z"));
-		assertArrayEquals(new String[] {}, router.getRoute("STP"));
-		assertEquals(Router.NO_ROUTE, router.getPathCost("STP"));
-	}
-}
+import static org.junit.jupiter.api.Assertions.assertArrayEquals;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+
+import org.junit.jupiter.api.Test;
+
+import DroneRouter;
+
+class DroneRouterTest {
+
+	@Test
+	void test() {
+		Router router = new DroneRouter();
+		router.loadRoutes("routes0.txt", "A");
+		assertArrayEquals(new String[] { "A", "B", "G" }, router.getRoute("G"));
+		assertEquals(17, router.getPathCost("G"));
+		assertThrows(IllegalArgumentException.class, () -> router.getRoute("Z"));
+		assertArrayEquals(new String[] {}, router.getRoute("M"));
+		assertEquals(Router.NO_ROUTE, router.getPathCost("M"));
+	}
+
+	@Test
+	void test2() {
+		Router router = new DroneRouter();
+		router.loadRoutes("routes1.txt", "CHI");
+		assertArrayEquals(new String[] { "CHI", "MSP", "DEN", "LAS" }, router.getRoute("LAS"));
+		assertEquals(2600, router.getPathCost("DEN"));
+		assertThrows(IllegalArgumentException.class, () -> router.getRoute("Z"));
+		assertArrayEquals(new String[] {}, router.getRoute("STP"));
+		assertEquals(Router.NO_ROUTE, router.getPathCost("STP"));
+	}
+}
diff --git a/Dijkstra/Java/Router.java b/Dijkstra/Java/Router.java
index 981bb097..a63ec6e2 100644
--- a/Dijkstra/Java/Router.java
+++ b/Dijkstra/Java/Router.java
@@ -1,51 +1,51 @@
-/**
- * @author Ralph A Foy
- *
- */
-public interface Router {
-
-	/**
-	 * Value indicating there is no path from the source to the specified
-	 * destination
-	 */
-	int NO_ROUTE = -1;
-
-	/**
-	 * Loads the file containing waypoints pairs and the cost to travel between
-	 * them.
-	 * 
-	 * @param routesFilePath path to the routes file
-	 * @param source         the waypoint that is the source location, that is, the
-	 *                       starting point of all routs
-	 * @throws IllegalArgumentException if the file is not accessible or the source
-	 *                                  location does not exist
-	 */
-	void loadRoutes(String routesFilePath, String source);
-
-	/**
-	 * Returns the route from the designated source waypoint to the specified
-	 * destination
-	 * 
-	 * @param destination endpoint of route
-	 * @return array of waypoints representing the least expensive route from the
-	 *         source to the destination (inclusive). The array is empty if no path
-	 *         exists.
-	 * @throws IllegalArgumentException if destination does not exist in the route
-	 *                                  file
-	 */
-	String[] getRoute(String destination);
-
-	/**
-	 * Returns the cost of the shortest route from the designated source waypoint to
-	 * the specified destination
-	 * 
-	 * @param destination endpoint of route from the source waypoint
-	 * @return the cost in units, or {@link NO_ROUTE} if no route exists from the
-	 *         source to the specified destination
-	 * @throws IllegalArgumentException if destination does not exist in the route
-	 *                                  file
-	 * @throws NullPointerException     if destination is {@code null}
-	 */
-	int getPathCost(String destination);
-
-}
+/**
+ * @author Ralph A Foy
+ *
+ */
+public interface Router {
+
+	/**
+	 * Value indicating there is no path from the source to the specified
+	 * destination
+	 */
+	int NO_ROUTE = -1;
+
+	/**
+	 * Loads the file containing waypoints pairs and the cost to travel between
+	 * them.
+	 * 
+	 * @param routesFilePath path to the routes file
+	 * @param source         the waypoint that is the source location, that is, the
+	 *                       starting point of all routs
+	 * @throws IllegalArgumentException if the file is not accessible or the source
+	 *                                  location does not exist
+	 */
+	void loadRoutes(String routesFilePath, String source);
+
+	/**
+	 * Returns the route from the designated source waypoint to the specified
+	 * destination
+	 * 
+	 * @param destination endpoint of route
+	 * @return array of waypoints representing the least expensive route from the
+	 *         source to the destination (inclusive). The array is empty if no path
+	 *         exists.
+	 * @throws IllegalArgumentException if destination does not exist in the route
+	 *                                  file
+	 */
+	String[] getRoute(String destination);
+
+	/**
+	 * Returns the cost of the shortest route from the designated source waypoint to
+	 * the specified destination
+	 * 
+	 * @param destination endpoint of route from the source waypoint
+	 * @return the cost in units, or {@link NO_ROUTE} if no route exists from the
+	 *         source to the specified destination
+	 * @throws IllegalArgumentException if destination does not exist in the route
+	 *                                  file
+	 * @throws NullPointerException     if destination is {@code null}
+	 */
+	int getPathCost(String destination);
+
+}
diff --git a/Dijkstra/Java/routes0.txt b/Dijkstra/Java/routes0.txt
index cf72483c..f11fcf28 100644
--- a/Dijkstra/Java/routes0.txt
+++ b/Dijkstra/Java/routes0.txt
@@ -1,11 +1,11 @@
-A B 5
-B C 10
-B G 12
-G C 5
-C D 15
-C E 2
-D F 4
-G E 2
-E F 2
-A E 3
+A B 5
+B C 10
+B G 12
+G C 5
+C D 15
+C E 2
+D F 4
+G E 2
+E F 2
+A E 3
 L M 10
\ No newline at end of file
diff --git a/Dijkstra/dijkstras.cpp b/Dijkstra/dijkstras.cpp
new file mode 100644
index 00000000..ac37120e
--- /dev/null
+++ b/Dijkstra/dijkstras.cpp
@@ -0,0 +1,64 @@
+#include<bits/stdc++.h>
+
+using namespace std;
+
+int findmin(vector<int> dist,int N,std::vector<int> &freq){
+  int mint;
+  for(int i=0;i<N;i++){if(freq[i] == 0){mint = i;break;}}
+  for(int i=0;((i<N));i++){
+    if((freq[i]==0)){
+    if(dist[mint]>dist[i]){mint = i;}
+  }
+  }
+  freq[mint] = 1;
+  return mint;
+}
+
+void printvector(std::vector<int> v,int N){
+  for(int i=0;i<N;i++)cout<<v[i]<<' ';
+  cout<<endl;
+}
+void dijkstras(vector<int> &dist,std::vector<std::vector<int> > l,vector<int> &prev,int N){
+  // printvector(dist,N);
+  vector<int> freq;
+  for(int i=0;i<N;i++){freq.push_back(0);}
+  dist[0] = 0;
+  for(int j=0;j<N;j++){
+    int u = findmin(dist,N,freq);
+    for(int i=0;i<N;i++){
+      if(l[u][i] != -1){
+        if(dist[i] > (dist[u] + l[u][i])){
+          dist[i] = (dist[u] + l[u][i]);
+          prev[i] = u;
+        }
+      }
+    }
+    // printvector(dist,N);
+  }
+}
+int main(){
+  int N;cin>>N;
+  vector<int> dist,prev;
+  vector<vector<int>> l;
+  int E;cin>>E;
+
+  vector<int> temp;
+  for(int i =0;i<N;i++){
+    temp.push_back(-1);
+    dist.push_back(INT_MAX);
+    prev.push_back(-1);
+  }
+  for(int i=0;i<N;i++){
+    l.push_back(temp);
+  }
+
+  for(int i=0;i<E;i++){
+    int a,b,d;cin>>a>>b>>d; //format is a --(d)--> b represents an edge
+    l[a-1][b-1] = d;
+    // l[b][a] = d;
+  }
+
+  dijkstras(dist,l,prev,N);
+
+  printvector(prev,N);
+}
diff --git a/Divide and Conquer/KaratsubaFastMultiplication.cpp b/Divide and Conquer/KaratsubaFastMultiplication.cpp
new file mode 100644
index 00000000..0306b8da
--- /dev/null
+++ b/Divide and Conquer/KaratsubaFastMultiplication.cpp	
@@ -0,0 +1,99 @@
+// C++ implementation of Karatsuba algorithm for bit string multiplication. 
+#include<iostream> 
+#include<stdio.h> 
+
+using namespace std; 
+
+int makeEqualLength(string &str1, string &str2) 
+{ 
+	int len1 = str1.size(); 
+	int len2 = str2.size(); 
+	if (len1 < len2) 
+	{ 
+		for (int i = 0 ; i < len2 - len1 ; i++) 
+			str1 = '0' + str1; 
+		return len2; 
+	} 
+	else if (len1 > len2) 
+	{ 
+		for (int i = 0 ; i < len1 - len2 ; i++) 
+			str2 = '0' + str2; 
+	} 
+	return len1; // If len1 >= len2 
+} 
+
+// The main function that adds two bit sequences and returns the addition 
+string addBitStrings( string first, string second ) 
+{ 
+	string result; // To store the sum bits 
+
+	// make the lengths same before adding 
+	int length = makeEqualLength(first, second); 
+	int carry = 0; // Initialize carry 
+
+	// Add all bits one by one 
+	for (int i = length-1 ; i >= 0 ; i--) 
+	{ 
+		int firstBit = first.at(i) - '0'; 
+		int secondBit = second.at(i) - '0'; 
+
+		// boolean expression for sum of 3 bits 
+		int sum = (firstBit ^ secondBit ^ carry)+'0'; 
+
+		result = (char)sum + result; 
+
+		// boolean expression for 3-bit addition 
+		carry = (firstBit&secondBit) | (secondBit&carry) | (firstBit&carry); 
+	} 
+
+	// if overflow, then add a leading 1 
+	if (carry) result = '1' + result; 
+
+	return result; 
+} 
+
+// A utility function to multiply single bits of strings a and b 
+int multiplyiSingleBit(string a, string b) 
+{ return (a[0] - '0')*(b[0] - '0'); } 
+
+// The main function that multiplies two bit strings X and Y and returns 
+// result as long integer 
+long int multiply(string X, string Y) 
+{ 
+	// Find the maximum of lengths of x and Y and make length 
+	// of smaller string same as that of larger string 
+	int n = makeEqualLength(X, Y); 
+
+	// Base cases 
+	if (n == 0) return 0; 
+	if (n == 1) return multiplyiSingleBit(X, Y); 
+
+	int fh = n/2; // First half of string, floor(n/2) 
+	int sh = (n-fh); // Second half of string, ceil(n/2) 
+
+	// Find the first half and second half of first string.  
+	string Xl = X.substr(0, fh); 
+	string Xr = X.substr(fh, sh); 
+
+	// Find the first half and second half of second string 
+	string Yl = Y.substr(0, fh); 
+	string Yr = Y.substr(fh, sh); 
+
+	// Recursively calculate the three products of inputs of size n/2 
+	long int P1 = multiply(Xl, Yl); 
+	long int P2 = multiply(Xr, Yr); 
+	long int P3 = multiply(addBitStrings(Xl, Xr), addBitStrings(Yl, Yr)); 
+
+	// Combine the three products to get the final result. 
+	return P1*(1<<(2*sh)) + (P3 - P1 - P2)*(1<<sh) + P2; 
+} 
+
+// Driver program to test above functions 
+int main() 
+{ 
+	string x,y;
+	printf("\n Enter 1st binary number : ");
+	cin>>x>>y;
+	printf("%ld \n",multiply(x,y));
+	return 0;
+} 
diff --git a/Divide and Conquer/Median of Arrays/medianofmedians.cpp b/Divide and Conquer/Median of Arrays/medianofmedians.cpp
new file mode 100644
index 00000000..43b4a87c
--- /dev/null
+++ b/Divide and Conquer/Median of Arrays/medianofmedians.cpp	
@@ -0,0 +1,102 @@
+// C++ implementation of worst case linear time algorithm to find median of median
+// to find k'th smallest element 
+#include<iostream> 
+#include<algorithm> 
+#include<climits> 
+
+using namespace std; 
+
+int partition(int arr[], int l, int r, int k); 
+
+// A simple function to find median of arr[]. This is called 
+// only for an array of size 5 in this program. 
+int findMedian(int arr[], int n) 
+{ 
+	sort(arr, arr+n); // Sort the array 
+	return arr[n/2]; // Return middle element 
+} 
+
+// Returns k'th smallest element in arr[l..r] in worst case 
+// linear time. ASSUMPTION: ALL ELEMENTS IN ARR[] ARE DISTINCT 
+int kthSmallest(int arr[], int l, int r, int k) 
+{ 
+	// If k is smaller than number of elements in array 
+	if (k > 0 && k <= r - l + 1) 
+	{ 
+		int n = r-l+1; // Number of elements in arr[l..r] 
+
+		// Divide arr[] in groups of size 5, calculate median 
+		// of every group and store it in median[] array. 
+		int i, median[(n+4)/5]; // There will be floor((n+4)/5) groups; 
+		for (i=0; i<n/5; i++) 
+			median[i] = findMedian(arr+l+i*5, 5); 
+		if (i*5 < n) //For last group with less than 5 elements 
+		{ 
+			median[i] = findMedian(arr+l+i*5, n%5); 
+			i++; 
+		}	 
+
+		// Find median of all medians using recursive call. 
+		// If median[] has only one element, then no need 
+		// of recursive call 
+		int medOfMed = (i == 1)? median[i-1]: kthSmallest(median, 0, i-1, i/2); 
+
+		// Partition the array around a random element and 
+		// get position of pivot element in sorted array 
+		int pos = partition(arr, l, r, medOfMed); 
+
+		// If position is same as k 
+		if (pos-l == k-1) 
+			return arr[pos]; 
+		if (pos-l > k-1) // If position is more, recur for left 
+			return kthSmallest(arr, l, pos-1, k); 
+
+		// Else recur for right subarray 
+		return kthSmallest(arr, pos+1, r, k-pos+l-1); 
+	} 
+
+	// If k is more than number of elements in array 
+	return INT_MAX; 
+} 
+
+void swap(int *a, int *b) 
+{ 
+	int temp = *a; 
+	*a = *b; 
+	*b = temp; 
+} 
+
+// It searches for x in arr[l..r], and partitions the array 
+// around x. 
+int partition(int arr[], int l, int r, int x) 
+{ 
+	// Search for x in arr[l..r] and move it to end 
+	int i; 
+	for (i=l; i<r; i++) 
+		if (arr[i] == x) 
+		break; 
+	swap(&arr[i], &arr[r]); 
+
+	// Standard partition algorithm 
+	i = l; 
+	for (int j = l; j <= r - 1; j++) 
+	{ 
+		if (arr[j] <= x) 
+		{ 
+			swap(&arr[i], &arr[j]); 
+			i++; 
+		} 
+	} 
+	swap(&arr[i], &arr[r]); 
+	return i; 
+} 
+
+// Driver program to test above methods 
+int main() 
+{ 
+	int arr[] = {12, 3, 5, 7, 4, 19, 26}; 
+	int n = sizeof(arr)/sizeof(arr[0]), k = 3; 
+	cout << "K'th smallest element is "
+		<< kthSmallest(arr, 0, n-1, k); 
+	return 0; 
+} 
diff --git a/Divide and Conquer/The Skyline Problem.cpp b/Divide and Conquer/The Skyline Problem.cpp
new file mode 100644
index 00000000..908def19
--- /dev/null
+++ b/Divide and Conquer/The Skyline Problem.cpp	
@@ -0,0 +1,174 @@
+// A divide and conquer based C++ program to find skyline of given 
+// buildings 
+#include<iostream> 
+using namespace std; 
+  
+// A structure for building 
+struct Building 
+{ 
+    int left;  // x coordinate of left side 
+    int ht;    // height 
+    int right; // x coordinate of right side 
+}; 
+  
+// A strip in skyline 
+class Strip 
+{ 
+    int left;  // x coordinate of left side 
+    int ht; // height 
+public: 
+    Strip(int l=0, int h=0) 
+    { 
+        left = l; 
+        ht = h; 
+    } 
+    friend class SkyLine; 
+}; 
+  
+// Skyline:  To represent Output (An array of strips) 
+class SkyLine 
+{ 
+    Strip *arr;   // Array of strips 
+    int capacity; // Capacity of strip array 
+    int n;   // Actual number of strips in array 
+public: 
+    ~SkyLine() {  delete[] arr;  } 
+    int count()  { return n;   } 
+  
+    // A function to merge another skyline 
+    // to this skyline 
+    SkyLine* Merge(SkyLine *other); 
+  
+    // Constructor 
+    SkyLine(int cap) 
+    { 
+        capacity = cap; 
+        arr = new Strip[cap]; 
+        n = 0; 
+    } 
+  
+    // Function to add a strip 'st' to array 
+    void append(Strip *st) 
+    { 
+        // Check for redundant strip, a strip is 
+        // redundant if it has same height or left as previous 
+        if (n>0 && arr[n-1].ht == st->ht) 
+            return; 
+        if (n>0 && arr[n-1].left == st->left) 
+        { 
+            arr[n-1].ht = max(arr[n-1].ht, st->ht); 
+            return; 
+        } 
+  
+        arr[n] = *st; 
+        n++; 
+    } 
+  
+    // A utility function to print all strips of 
+    // skyline 
+    void print() 
+    { 
+        for (int i=0; i<n; i++) 
+        { 
+            cout << " (" << arr[i].left << ", "
+                 << arr[i].ht << "), "; 
+        } 
+    } 
+}; 
+  
+// This function returns skyline for a given array of buildings 
+// arr[l..h].  This function is similar to mergeSort(). 
+SkyLine *findSkyline(Building arr[], int l, int h) 
+{ 
+    if (l == h) 
+    { 
+        SkyLine *res = new SkyLine(2); 
+        res->append(new Strip(arr[l].left, arr[l].ht)); 
+        res->append(new Strip(arr[l].right, 0)); 
+        return res; 
+    } 
+  
+    int mid = (l + h)/2; 
+  
+    // Recur for left and right halves and merge the two results 
+    SkyLine *sl = findSkyline(arr, l, mid); 
+    SkyLine *sr = findSkyline(arr, mid+1, h); 
+    SkyLine *res = sl->Merge(sr); 
+  
+    // To avoid memory leak 
+    delete sl; 
+    delete sr; 
+  
+    // Return merged skyline 
+    return res; 
+} 
+  
+// Similar to merge() in MergeSort 
+// This function merges another skyline 'other' to the skyline 
+// for which it is called.  The function returns pointer to 
+// the resultant skyline 
+SkyLine *SkyLine::Merge(SkyLine *other) 
+{ 
+    // Create a resultant skyline with capacity as sum of two 
+    // skylines 
+    SkyLine *res = new SkyLine(this->n + other->n); 
+  
+    // To store current heights of two skylines 
+    int h1 = 0, h2 = 0; 
+  
+    // Indexes of strips in two skylines 
+    int i = 0, j = 0; 
+    while (i < this->n && j < other->n) 
+    { 
+        // Compare x coordinates of left sides of two 
+        // skylines and put the smaller one in result 
+        if (this->arr[i].left < other->arr[j].left) 
+        { 
+            int x1 = this->arr[i].left; 
+            h1 = this->arr[i].ht; 
+  
+            // Choose height as max of two heights 
+            int maxh = max(h1, h2); 
+  
+            res->append(new Strip(x1, maxh)); 
+            i++; 
+        } 
+        else
+        { 
+            int x2 = other->arr[j].left; 
+            h2 = other->arr[j].ht; 
+            int maxh = max(h1, h2); 
+            res->append(new Strip(x2, maxh)); 
+            j++; 
+        } 
+    } 
+  
+    // If there are strips left in this skyline or other 
+    // skyline 
+    while (i < this->n) 
+    { 
+        res->append(&arr[i]); 
+        i++; 
+    } 
+    while (j < other->n) 
+    { 
+        res->append(&other->arr[j]); 
+        j++; 
+    } 
+    return res; 
+} 
+  
+// drive program 
+int main() 
+{ 
+    Building arr[] = {{1, 11, 5}, {2, 6, 7}, {3, 13, 9}, 
+                      {12, 7, 16}, {14, 3, 25}, {19, 18, 22}, 
+                      {23, 13, 29}, {24, 4, 28}}; 
+    int n = sizeof(arr)/sizeof(arr[0]); 
+  
+    // Find skyline for given buildings and print the skyline 
+    SkyLine *ptr = findSkyline(arr, 0, n-1); 
+    cout << " Skyline for given buildings is \n"; 
+    ptr->print(); 
+    return 0; 
+}
\ No newline at end of file
diff --git a/Divide and Conquer/closestpairofpoints.py b/Divide and Conquer/closestpairofpoints.py
new file mode 100644
index 00000000..5371929d
--- /dev/null
+++ b/Divide and Conquer/closestpairofpoints.py	
@@ -0,0 +1,25 @@
+from math import sqrt, pow
+
+def distance(a, b):
+  return sqrt(pow(a[0] - b[0],2) + pow(a[1] - b[1],2))
+
+def bruteMin(points, current=float("inf")):
+  if len(points) < 2: return current
+  else:
+    head = points[0]
+    del points[0]
+    newMin = min([distance(head, x) for x in points])
+    newCurrent = min([newMin, current])
+    return bruteMin(points, newCurrent)
+
+def divideMin(points):
+  points = sorted(points)
+  half = len(sorted(points))/2
+  minimum = min([bruteMin(points[:half]), bruteMin(points[half:])])
+  nearLine = filter(lambda x: x[0] > half - minimum and x[0] < half + minimum, points)
+  return min([bruteMin(nearLine), minimum])
+
+list1 = [(12,30), (40, 50), (5, 1), (12, 10), (3,4)]
+list2=[(1, 496.5), (12,30), (40, 50), (5, 1), (12, 10), (3,4), (1, 496), (1, 497)]
+print "Closest Pair Distance:",divideMin(list1)
+print "Closest Pair Distance:",divideMin(list2)
diff --git a/Dynamic Programming/Count_all_possible_BST/c++/count_all_BSTs.cpp b/Dynamic Programming/Count_all_possible_BST/c++/count_all_BSTs.cpp
new file mode 100644
index 00000000..fafcf27a
--- /dev/null
+++ b/Dynamic Programming/Count_all_possible_BST/c++/count_all_BSTs.cpp	
@@ -0,0 +1,59 @@
+/* Given an integer N, find and return the count of unique Binary search trees (BSTs)
+   possible with nodes valued from 1 to N.
+   Output count can be very large, so return the count modulo 10^9+7.
+   Contraints : 1<= N <=1000
+   Time Complexity: O(n^2)
+*/
+
+
+/* Recurssive solution: 
+   BSTcount(for value n) = summationOf ( BSTcount( for node [k-1]) + BSTcount( for node [n-k]) );
+          (k)
+          / \
+        /    \
+      /       \
+(1 to k-1)  (k+1 to n)
+
+*/
+
+/* Input: 3
+   Output: 5
+   
+   Input: 8
+   Output: 1430
+*/			  	  				 	   			   
+   			  	  				 	   			   
+#include <bits/stdc++.h>
+#define mm 1000000007
+using namespace std;
+
+int countBST(int n, int *dp) {
+    //base condition
+    if(n==0 || n==1)
+        return 1;
+    if(n==2)
+        return 2;
+    //if dp[n] has some value, then answer is already calculated for that n.
+    if(dp[n]!=0) {
+        return dp[n];
+    }
+    //calculating sum for every value of n.
+    long long sum=0;
+    for(int k=1; k<=n; k++) {
+        sum = (sum%mm + (countBST(k-1, dp)%mm * countBST(n-k, dp))%mm)%mm;
+    }
+    //save the answer for n in the dp array.
+    dp[n] = sum;
+    return sum;
+}
+
+
+int main() {
+	int n ;
+	cin>>n;
+	//dp array to fill in the values which are calculated (memoization).
+	int *dp = new int[n+1] {0};
+	cout<<countBST(n, dp);
+	return 0;
+}
+
diff --git a/Dynamic Programming/Edit Distance/python/edit_distance.py b/Dynamic Programming/Edit Distance/python/edit_distance.py
new file mode 100644
index 00000000..fadf9813
--- /dev/null
+++ b/Dynamic Programming/Edit Distance/python/edit_distance.py	
@@ -0,0 +1,44 @@
+# -*- coding: utf-8 -*-
+"""
+Created on Wed Oct 23 22:06:43 2019
+
+@author: Vidhan
+"""
+
+def editDistDP(str1, str2, m, n): 
+    # Create a table to store results of subproblems 
+    dp = [[0 for x in range(n+1)] for x in range(m+1)] 
+  
+    # Fill d[][] in bottom up manner 
+    for i in range(m+1): 
+        for j in range(n+1): 
+  
+            # If first string is empty, only option is to 
+            # insert all characters of second string 
+            if i == 0: 
+                dp[i][j] = j    # Min. operations = j 
+  
+            # If second string is empty, only option is to 
+            # remove all characters of second string 
+            elif j == 0: 
+                dp[i][j] = i    # Min. operations = i 
+  
+            # If last characters are same, ignore last char 
+            # and recur for remaining string 
+            elif str1[i-1] == str2[j-1]: 
+                dp[i][j] = dp[i-1][j-1] 
+  
+            # If last character are different, consider all 
+            # possibilities and find minimum 
+            else: 
+                dp[i][j] = 1 + min(dp[i][j-1],        # Insert 
+                                   dp[i-1][j],        # Remove 
+                                   dp[i-1][j-1])    # Replace 
+  
+    return dp[m][n] 
+  
+# Driver program 
+str1 = "smart"
+str2 = "start"
+  
+print(editDistDP(str1, str2, len(str1), len(str2)))
\ No newline at end of file
diff --git a/Dynamic Programming/Egg Dropping Puzzle/eggDrop.py b/Dynamic Programming/Egg Dropping Puzzle/eggDrop.py
new file mode 100644
index 00000000..27e7b11b
--- /dev/null
+++ b/Dynamic Programming/Egg Dropping Puzzle/eggDrop.py	
@@ -0,0 +1,35 @@
+#A Dynamic Programming based Python Program for the Egg Dropping Puzzle 
+import sys  
+  
+# Function to get minimum number of trials  
+# needed in worst case with n eggs and k floors  
+def eggDrop(n, k): 
+  
+    # If there are no floors, then no trials needed. If there is one floor, one trial needed. 
+    if (k == 0 or k == 1): 
+        return k 
+  
+    # We need k trials for one egg and k floors 
+    if (n == 1): 
+        return k 
+  
+    min = sys.maxsize 
+  
+    # Consider all droppings from 1st floor to kth floor and return the minimum of these values plus 1. 
+    for x in range(1, k + 1): 
+  
+        res = max(eggDrop(n - 1, x - 1), eggDrop(n, k - x)) 
+        if (res < min): 
+            min = res 
+  
+    return min + 1
+  
+  
+if __name__ == "__main__": 
+  
+    n = 2
+    k = 36 
+    #or
+    #n=int(input("Enter number of eggs : "))
+    #k=int(input("Enter number of floors : "))
+    print("Minimum number of trials in worst case with", n, "eggs and", k, "floors is", eggDrop(n, k)) 
diff --git a/Dynamic Programming/Gold Mine Problem b/Dynamic Programming/Gold Mine Problem
new file mode 100644
index 00000000..1f7c4f5b
--- /dev/null
+++ b/Dynamic Programming/Gold Mine Problem	
@@ -0,0 +1,63 @@
+/*Statement - Given a gold mine of n*m dimensions. Each field in this mine contains a positive integer
+ which is the amount of gold in tons. Initially the miner is at first column but can be at any row.
+  the miner can move to the cell diagonally up towards the right or right or diagonally down towards the right.
+  Find out maximum amount of gold he can collect.
+*/
+
+
+
+#include<bits/stdc++.h>
+using namespace std;
+
+
+int main()
+{
+  int t;
+  cin>>t;
+  while(t--)
+  {
+
+    int n,m;
+    cin>>n>>m;
+
+    int arr[n][m];
+    for(int i = 0 ; i < n ; i++)
+     {
+         for(int j = 0 ; j < m ; j++)
+          {
+                cin>>arr[i][j];
+          }
+     }
+
+     for(int j = m-2; j>=0; j--)
+     {
+
+         for(int i = 0 ; i < n ; i++)
+         {
+
+             if(i==0&&i==n-1)
+             arr[i][j] += arr[i][j+1];
+
+            else if(i==0)
+             arr[i][j] += max(arr[i][j+1],arr[i+1][j+1]);
+
+             else if(i==n-1)
+             arr[i][j] += max(arr[i][j+1],arr[i-1][j+1]);
+
+             else
+             arr[i][j] += max(arr[i+1][j+1],max(arr[i][j+1],arr[i-1][j+1]));
+
+
+         }
+     }
+
+     int maxi = INT_MIN;
+      for(int i = 0 ; i < n ; i++)
+     {
+         if(maxi<arr[i][0])
+         maxi = arr[i][0];
+     }
+
+    cout<<maxi<<endl;
+}
+}
diff --git a/Dynamic Programming/Interleaved String.txt b/Dynamic Programming/Interleaved String.txt
new file mode 100644
index 00000000..e20a36a0
--- /dev/null
+++ b/Dynamic Programming/Interleaved String.txt	
@@ -0,0 +1,63 @@
+//find whether String C is formed by interleaving String A and String B
+
+
+#include <bits/stdc++.h>
+using namespace std;
+string s1,s2,s3;
+int dp[102][102][102];//used to store each state
+bool rec(int i,int j,int k)
+{
+    if(dp[i][j][k]!=-1)
+    return dp[i][j][k];
+    if(i==s1.length()&&j==s2.length()&&k<s3.length()) //base case
+    return dp[i][j][k]=0;
+
+    if(i==s1.length()&&j==s2.length()&&k==s3.length()) //base case
+    return dp[i][j][k]=1;
+    int ans=0;
+    if((i<s1.length())&&s1[i]==s3[k]) //visiting other states
+    ans=ans|rec(i+1,j,k+1);
+    if(j<s2.length()&&s2[j]==s3[k])
+    ans|=rec(i,j+1,k+1);
+
+    if(i==s1.length()&&s2[j]!=s3[k])
+    return 0;
+    if(j==s2.length()&&s1[i]!=s3[k])
+    return 0;
+    if(i<s1.length()&&j<s2.length()&&s1[i]!=s3[k]&&s2[j]!=s3[k])
+    return 0;
+
+    return dp[i][j][k]=ans;
+
+}
+
+int isInterleave(string A, string B, string C) {
+
+    memset(dp,-1,sizeof(dp));
+    s1=A;
+    s2=B;
+    s3=C;
+    return rec(0,0,0);
+
+}
+
+int main()
+{
+
+    string a,b,c;
+    cin >>  a >>  b >>  c;
+
+    if(isInterleave(a,b,c))
+    {
+        cout <<  "String C is formed by interleaving String A and String B" <<  endl;
+
+    }
+    else
+    {
+        cout <<  "String C cannot be formed by interleaving String A and String B" <<  endl;
+    }
+}
+//Time complexity: O(N3)
+//Space complexity: O(N3)
+
+
diff --git a/Dynamic Programming/Longest Common Subsequence/LCS_print_all.c++ b/Dynamic Programming/Longest Common Subsequence/LCS_print_all.c++
new file mode 100644
index 00000000..5110a4e7
--- /dev/null
+++ b/Dynamic Programming/Longest Common Subsequence/LCS_print_all.c++	
@@ -0,0 +1,72 @@
+#include<bits/stdc++.h>
+using namespace std;
+
+int dp[50][50];
+//use recursion to print all possible solutions
+//set to store the possible lcs in non-repeating and in increasing order(alphabetically)
+set<string> getAllLCS(string a,string b,int n,int m)
+{
+	set<string> ans;
+
+    if(n==0 || m==0)
+    {
+    	ans.insert("");
+    	return ans;
+    }
+
+	if(a[n-1]==b[m-1])
+	{
+		set<string> tmp=getAllLCS(a,b,n-1,m-1);
+		for(string s:tmp)
+			ans.insert(s+a[n-1]);
+
+	}
+
+
+	else
+	{
+		 if(dp[n-1][m]>=dp[n][m-1])
+		 	ans=getAllLCS(a,b,n-1,m);
+
+
+		 if(dp[n][m-1]>=dp[n-1][m])
+		 {
+		 	set<string> tmp=getAllLCS(a,b,n,m-1);
+
+		 	ans.insert(tmp.begin(),tmp.end());
+		 }
+	}
+
+	return ans;
+
+
+}
+int main()
+{
+	string a,b;
+	cin>>a>>b;
+
+	int n=a.size();
+	int m=b.size();
+
+	
+
+	memset(dp,0,sizeof(dp));
+
+    //construct the lcs matrix
+	for(int i=1;i<=n;i++)
+	{
+		for(int j=1;j<=m;j++)
+		{
+			if(a[i-1]==b[j-1])
+				dp[i][j]=dp[i-1][j-1]+1;
+			else
+				dp[i][j]=max(dp[i-1][j],dp[i][j-1]);
+		}
+	}
+
+   set<string> ans=getAllLCS(a,b,n,m);
+
+   for(auto it:ans)
+   cout<<it<<" ";	
+}
\ No newline at end of file
diff --git a/Dynamic Programming/Regex Matching.txt b/Dynamic Programming/Regex Matching.txt
new file mode 100644
index 00000000..8108f3d3
--- /dev/null
+++ b/Dynamic Programming/Regex Matching.txt	
@@ -0,0 +1,71 @@
+//Regex Matching with support for '?' and '*' for Strings A and Strings B
+// 1) ’?’ : Matches any single character.
+// 2) ‘*’ : Matches any sequence of characters (including the empty sequence)
+
+
+#include<bits/stdc++.h>
+using namespace std;
+
+string s1,s2;
+
+
+int dp[10000][200];// to store value of each state
+
+bool rec(int i,int j)
+{
+    bool ans=false;
+    if(dp[i][j]!=-1)
+    return dp[i][j];
+    if(i==s1.length()&&j==s2.length()) //  edge case
+    return true;
+    if(i>s1.length()||j>=s2.length())
+    return false;
+
+   // Now visiting all possible states
+    if(s2[j]=='?')
+    {
+        ans=ans|rec(i+1,j+1);
+    }
+    else if(s2[j]=='*')
+    {
+        ans=ans|rec(i+1,j);
+        ans=ans|rec(i+1,j+1);
+        ans=ans|rec(i,j+1);
+    }
+    else if(s1[i]==s2[j])
+    {
+        ans=ans|rec(i+1,j+1);
+
+    }
+    return dp[i][j]=ans;
+}
+
+int isMatch(string A,string B)
+{
+    s1=A;
+    s2=B;
+    memset(dp,-1,sizeof(dp));
+    return rec(0,0);
+
+
+}
+
+int main()
+{
+    string a,b;
+    cout << "Enter first String " <<  endl;
+    cin >>  a;
+
+    cout << "Enter second String " <<  endl;
+    cin >>  b;
+
+      if(isMatch(a,b))
+        cout <<  "Both String Match" <<  endl;
+      else
+        cout << "Both String does not Match" <<  endl;
+
+
+}
+// Time Complexity : O(len(a)*len(b)) where len(x) is length of string x
+// Space Complexity : O(len(a)*len(b)) where len(x) is length of string x
+
diff --git a/Dynamic Programming/Rod_cutting_problem/rod_cutting_problem.py b/Dynamic Programming/Rod_cutting_problem/rod_cutting_problem.py
new file mode 100644
index 00000000..46844ed2
--- /dev/null
+++ b/Dynamic Programming/Rod_cutting_problem/rod_cutting_problem.py	
@@ -0,0 +1,29 @@
+# -*- coding: utf-8 -*-
+"""
+Created on Wed Oct 23 21:49:30 2019
+
+@author: Lenovo
+"""
+
+INT_MIN = -999999
+  
+# Returns the best obtainable price for a rod of length n and 
+# price[] as prices of different pieces 
+def cutRod(price, n): 
+    val = [0 for x in range(n+1)] 
+    val[0] = 0
+  
+    # Build the table val[] in bottom up manner and return 
+    # the last entry from the table 
+    for i in range(1, n+1): 
+        max_val = INT_MIN 
+        for j in range(i): 
+             max_val = max(max_val, price[j] + val[i-j-1]) 
+        val[i] = max_val 
+  
+    return val[n] 
+  
+# Driver program to test above functions 
+arr = [1, 5, 8, 9, 10, 17, 17, 20] 
+size = len(arr) 
+print("Maximum Obtainable Value is " + str(cutRod(arr, size)))
\ No newline at end of file
diff --git a/Dynamic Programming/Tiling Problem/CPP/Tiling_Problem_bottom_up_dp.cpp b/Dynamic Programming/Tiling Problem/CPP/Tiling_Problem_bottom_up_dp.cpp
new file mode 100644
index 00000000..178c4b43
--- /dev/null
+++ b/Dynamic Programming/Tiling Problem/CPP/Tiling_Problem_bottom_up_dp.cpp	
@@ -0,0 +1,65 @@
+#include "bits/stdc++.h"
+using namespace std;
+ 
+typedef long long ll;
+typedef long double ld;
+#define blue ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
+#define mod 1000000007;
+
+/*
+
+Probelm Statement:
+    Given: (2 x n) board and tiles of size (2 x 1)
+    Task: Count the number of ways to tile the given board using the 2 x 1 tiles.
+    Conditions: A tile can either be placed horizontally as (1 x 2) tile or vertically as (2 x 1) tile.
+
+
+Solution:
+    If we place 1 tile vertically, it occupies (2 x 1) area
+                        OR
+    We can place 2 tiles horizontally, one above another to cover (2 x 2) area
+    
+    There is no other way
+
+    so we form our recursion so as to count the number of ways to to fill the board horizontally with
+    either 1's or 2's 
+
+    Recurrence Equation:
+        count(n) = count(n-1) + count(n-2)
+
+    Base conditions: 
+        if n == 1, return 1
+        if n == 2, return 2
+
+    Top Down DP Approach:
+        We store the values of already calculated n-values in an array called DP
+*/
+
+int dp[100000]; // Declare the dp array
+
+int count_using_bottom_up_dp(int n) {
+
+    // start from bottom and calculate for each step using previous result
+    
+    for(int i=3;i<=n;i++) {
+        dp[i]=dp[i-1]+dp[i-2];
+    }
+
+    return dp[n];
+}
+
+int main() {
+    int n, total_number_of_ways; 
+    
+    n = 12; // The board is of size (2 x 12)
+
+    memset(dp,-1,sizeof(dp)); // Initialize the dp array with -1
+    
+    dp[1] = 1; dp[2]=2; // base conditions
+
+    total_number_of_ways = count_using_bottom_up_dp(n);
+
+
+    cout<<"The Total Number of ways to Tile the board are: "<<total_number_of_ways<<endl;
+}
+
diff --git a/Dynamic Programming/Tiling Problem/CPP/Tiling_Problem_recursive.cpp b/Dynamic Programming/Tiling Problem/CPP/Tiling_Problem_recursive.cpp
new file mode 100644
index 00000000..f95ce259
--- /dev/null
+++ b/Dynamic Programming/Tiling Problem/CPP/Tiling_Problem_recursive.cpp	
@@ -0,0 +1,51 @@
+#include "bits/stdc++.h"
+using namespace std;
+ 
+typedef long long ll;
+typedef long double ld;
+#define blue ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
+#define mod 1000000007;
+
+/*
+
+Probelm Statement:
+    Given: (2 x n) board and tiles of size (2 x 1)
+    Task: Count the number of ways to tile the given board using the 2 x 1 tiles.
+    Conditions: A tile can either be placed horizontally as (1 x 2) tile or vertically as (2 x 1) tile.
+
+
+Solution:
+    If we place 1 tile vertically, it occupies (2 x 1) area
+                        OR
+    We can place 2 tiles horizontally, one above another to cover (2 x 2) area
+    
+    There is no other way
+
+    so we form our recursion so as to count the number of ways to to fill the board horizontally with
+    either 1's or 2's 
+
+    Recurrence Equation:
+        count(n) = count(n-1) + count(n-2)
+
+    Base conditions: 
+        if n == 1, return 1
+        if n == 2, return 2
+*/
+
+int count_using_recursion(int n) {
+    if(n==1) return 1;
+    if(n==2) return 2;
+
+    return count_using_recursion(n-1)+count_using_recursion(n-2);
+}
+
+int main() {
+    int n, total_number_of_ways; 
+    
+    n = 12; // The board is of size (2 x 12)
+
+    total_number_of_ways = count_using_recursion(n);
+
+    cout<<"The Total Number of ways to Tile the board are: "<<total_number_of_ways<<endl;
+}
+
diff --git a/Dynamic Programming/Tiling Problem/CPP/Tiling_Problem_top_down_dp.cpp b/Dynamic Programming/Tiling Problem/CPP/Tiling_Problem_top_down_dp.cpp
new file mode 100644
index 00000000..5e55ea5e
--- /dev/null
+++ b/Dynamic Programming/Tiling Problem/CPP/Tiling_Problem_top_down_dp.cpp	
@@ -0,0 +1,66 @@
+#include "bits/stdc++.h"
+using namespace std;
+ 
+typedef long long ll;
+typedef long double ld;
+#define blue ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
+#define mod 1000000007;
+
+/*
+
+Probelm Statement:
+    Given: (2 x n) board and tiles of size (2 x 1)
+    Task: Count the number of ways to tile the given board using the 2 x 1 tiles.
+    Conditions: A tile can either be placed horizontally as (1 x 2) tile or vertically as (2 x 1) tile.
+
+
+Solution:
+    If we place 1 tile vertically, it occupies (2 x 1) area
+                        OR
+    We can place 2 tiles horizontally, one above another to cover (2 x 2) area
+    
+    There is no other way
+
+    so we form our recursion so as to count the number of ways to to fill the board horizontally with
+    either 1's or 2's 
+
+    Recurrence Equation:
+        count(n) = count(n-1) + count(n-2)
+
+    Base conditions: 
+        if n == 1, return 1
+        if n == 2, return 2
+
+    Top Down DP Approach:
+        We store the values of already calculated n-values in an array called DP
+*/
+
+int dp[100000]; // Declare a DP array 
+
+int count_using_top_down_dp(int n) {
+    if(n==1) return dp[1];
+    if(n==2) return dp[2];
+
+    // Before computing check if already present and if not, compute and store
+    if(dp[n-1] == -1) dp[n-1]=count_using_top_down_dp(n-1); 
+
+    if(dp[n-2] == -1) dp[n-2]=count_using_top_down_dp(n-2);
+
+    return dp[n-1]+dp[n-2];
+}
+
+int main() {
+    int n, total_number_of_ways; 
+    
+    n = 12; // The board is of size (2 x 12)
+
+    memset(dp,-1,sizeof(dp)); // Initialize the dp array with -1
+    
+    dp[1]=1; dp[2]=2; // base conditions
+
+    total_number_of_ways = count_using_top_down_dp(n);
+
+
+    cout<<"The Total Number of ways to Tile the board are: "<<total_number_of_ways<<endl;
+}
+
diff --git a/Dynamic Programming/Tiling problem using DP.cpp b/Dynamic Programming/Tiling problem using DP.cpp
new file mode 100644
index 00000000..c82d35fc
--- /dev/null
+++ b/Dynamic Programming/Tiling problem using DP.cpp	
@@ -0,0 +1,39 @@
+
+#include <bits/stdc++.h> 
+
+using namespace std; 
+
+int countWays(int n, int m) 
+{ 
+
+	int count[n + 1]; 
+	count[0] = 0; 
+
+	
+	for (int i = 1; i <= n; i++) { 
+		
+		if (i > m) 
+			count[i] = count[i - 1] + count[i - m]; 
+
+		 
+		else if (i < m) 
+			count[i] = 1; 
+
+		
+		else
+			count[i] = 2; 
+	} 
+
+	
+	return count[n]; 
+} 
+
+
+int main() 
+{ 
+	int n = 7, m = 4; 
+	cout << "Number of ways = "
+		<< countWays(n, m); 
+	return 0; 
+} 
+
diff --git a/Dynamic Programming/dicethrow.py b/Dynamic Programming/dicethrow.py
new file mode 100644
index 00000000..7ffc2f51
--- /dev/null
+++ b/Dynamic Programming/dicethrow.py	
@@ -0,0 +1,38 @@
+# Python program 
+# The main function that returns number of ways to get sum 'x' 
+# with 'n' dice and 'm' with m faces. 
+
+
+def findWays(f, d, s): 
+	# Create a table to store results of subproblems. One extra 
+	# row and column are used for simpilicity (Number of dice 
+	# is directly used as row index and sum is directly used 
+	# as column index). The entries in 0th row and 0th column 
+	# are never used. 
+	mem = [[0 for i in range(s+1)] for j in range(d+1)] 
+	# Table entries for no dices 
+	# If you do not have any data, then the value must be 0, so the result is 1 
+	mem[0][0] = 1
+	# Iterate over dices 
+	for i in range(1, d+1): 
+
+		# Iterate over sum 
+		for j in range(1, s+1): 
+			# The result is obtained in two ways, pin the current dice and spending 1 of the value, 
+			# so we have mem[i-1][j-1] remaining combinations, to find the remaining combinations we 
+			# would have to pin the values ??above 1 then we use mem[i][j-1] to sum all combinations 
+			# that pin the remaining j-1's. But there is a way, when "j-f-1> = 0" we would be adding 
+			# extra combinations, so we remove the combinations that only pin the extrapolated dice face and 
+			# subtract the extrapolated combinations. 
+			mem[i][j] = mem[i][j - 1] + mem[i - 1][j - 1] 
+			if j - f - 1 >= 0: 
+				mem[i][j] -= mem[i - 1][j - f - 1] 
+	return mem[d][s] 
+
+# Driver code 
+
+print(findWays(4, 2, 1)) 
+print(findWays(2, 2, 3)) 
+print(findWays(6, 3, 8)) 
+print(findWays(4, 2, 5)) 
+print(findWays(4, 3, 5)) 
diff --git a/Dynamic Programming/digit_dp.cpp b/Dynamic Programming/digit_dp.cpp
new file mode 100644
index 00000000..326b2b6a
--- /dev/null
+++ b/Dynamic Programming/digit_dp.cpp	
@@ -0,0 +1,64 @@
+#include "bits/stdc++.h" 
+using namespace std; 
+
+long long dp[20][180][2]; 
+
+long long getDigits(long long x, vector <int> &digit) 
+{ 
+	while (x) 
+	{ 
+		digit.push_back(x%10); 
+		x /= 10; 
+	} 
+} 
+
+long long digitSum(int idx, int sum, int tight, 
+						vector <int> &digit) 
+{ 
+	if (idx == -1) 
+	return sum; 
+
+	if (dp[idx][sum][tight] != -1 and tight != 1) 
+		return dp[idx][sum][tight]; 
+
+	long long ret = 0; 
+
+	int k = (tight)? digit[idx] : 9; 
+
+	for (int i = 0; i <= k ; i++) 
+	{ 
+		int newTight = (digit[idx] == i)? tight : 0; 
+
+		ret += digitSum(idx-1, sum+i, newTight, digit); 
+	} 
+
+	if (!tight) 
+	dp[idx][sum][tight] = ret; 
+
+	return ret; 
+} 
+
+int rangeDigitSum(int a, int b) 
+{ 
+	memset(dp, -1, sizeof(dp)); 
+
+	vector<int> digitA; 
+	getDigits(a-1, digitA); 
+
+	long long ans1 = digitSum(digitA.size()-1, 0, 1, digitA); 
+
+	vector<int> digitB; 
+	getDigits(b, digitB); 
+
+	long long ans2 = digitSum(digitB.size()-1, 0, 1, digitB); 
+
+	return (ans2 - ans1); 
+} 
+
+int main() 
+{ 
+	long long a = 123, b = 1024; 
+	cout << "digit sum for given range : "
+		<< rangeDigitSum(a, b) << endl; 
+	return 0; 
+} 
diff --git a/Dynamic Programming/matrixchainmultiplication.py b/Dynamic Programming/matrixchainmultiplication.py
new file mode 100644
index 00000000..bec4f373
--- /dev/null
+++ b/Dynamic Programming/matrixchainmultiplication.py	
@@ -0,0 +1,32 @@
+# Dynamic Programming Python implementation of Matrix Chain Multiplication
+import sys 
+
+# Matrix Ai has dimension p[i-1] x p[i] for i = 1..n 
+def MatrixChainOrder(p, n): 
+
+	m = [[0 for x in range(n)] for x in range(n)] 
+
+	# cost is zero when multiplying one matrix. 
+	for i in range(1, n): 
+		m[i][i] = 0
+
+	# L is chain length. 
+	for L in range(2, n): 
+		for i in range(1, n-L+1): 
+			j = i+L-1
+			m[i][j] = sys.maxint 
+			for k in range(i, j): 
+
+				# q = cost/scalar multiplications 
+				q = m[i][k] + m[k+1][j] + p[i-1]*p[k]*p[j] 
+				if q < m[i][j]: 
+					m[i][j] = q 
+
+	return m[1][n-1] 
+
+# Driver program to test above function 
+arr = [1, 2, 3 ,4] 
+size = len(arr) 
+
+print("Minimum number of multiplications is " +
+	str(MatrixChainOrder(arr, size))) 
diff --git a/Dynamic Programming/shotestcommonsupersequence.py b/Dynamic Programming/shotestcommonsupersequence.py
new file mode 100644
index 00000000..e372bca8
--- /dev/null
+++ b/Dynamic Programming/shotestcommonsupersequence.py	
@@ -0,0 +1,25 @@
+# A dynamic programming based python program to find length of the shortest supersequence 
+
+# Returns length of the shortest supersequence of X and Y 
+def superSeq(X, Y, m, n): 
+	dp = [[0] * (n + 2) for i in range(m + 2)] 
+
+	# Fill table in bottom up manner 
+	for i in range(m + 1): 
+		for j in range(n + 1): 
+			
+			#Below steps follow above recurrence 
+			if (not i): dp[i][j] = j 
+			elif (not j): dp[i][j] = i 
+			
+			elif (X[i - 1] == Y[j - 1]): 
+				dp[i][j] = 1 + dp[i - 1][j - 1] 
+				
+			else: dp[i][j] = 1 + min(dp[i - 1][j], dp[i][j - 1]) 
+			
+	return dp[m][n] 
+
+# Driver Code 
+X = "AGGTAB"
+Y = "GXTXAYB"
+print("Length of the shortest supersequence is %d" % superSeq(X, Y, len(X), len(Y))) 
diff --git a/Dynamic Programming/wordbreakingproblem.cpp b/Dynamic Programming/wordbreakingproblem.cpp
new file mode 100644
index 00000000..3d528200
--- /dev/null
+++ b/Dynamic Programming/wordbreakingproblem.cpp	
@@ -0,0 +1,89 @@
+// A Dynamic Programming based program to test  whether a given string can be segmented into  space separated words in dictionary 
+
+
+#include <bits/stdc++.h> 
+using namespace std; 
+
+/* A utility function to check whether a word 
+is present in dictionary or not. An array of 
+strings is used for dictionary. Using array 
+of strings for dictionary is definitely not 
+a good idea. We have used for simplicity of 
+the program*/
+int dictionaryContains(string word) 
+{ 
+
+//intialization of dictionary
+	string dictionary[] = { "mobile", "samsung", "sam", "sung", "man", "mango", "icecream", "and", "go", "i", "like", "ice", "cream" }; 
+  
+	int size = sizeof(dictionary) / sizeof(dictionary[0]); 
+	for (int i = 0; i < size; i++) 
+		if (dictionary[i].compare(word) == 0) 
+			return true; 
+	return false; 
+} 
+
+// Returns true if string can be segmented into space 
+// separated words, otherwise returns false 
+bool wordBreak(string s) 
+{ 
+	int n = s.size(); 
+	if (n == 0) 
+		return true; 
+
+	// Create the DP table to store results of subroblems. 
+	// The value dp[i] will be true if str[0..i] can be 
+	// segmented into dictionary words, otherwise false. 
+	vector<bool> dp(n + 1, 0); // Initialize all values 
+	// as false. 
+
+	// matched_index array represents the indexes for which 
+	// dp[i] is true. Initially only -1 element is present 
+	// in this array. 
+	vector<int> matched_index; 
+	matched_index.push_back(-1); 
+
+	for (int i = 0; i < n; i++) { 
+		int msize = matched_index.size(); 
+
+		// Flag value which tells that a substring matches 
+		// with given words or not. 
+		int f = 0; 
+
+		// Check all the substring from the indexes matched 
+		// earlier. If any of that substring matches than 
+		// make flag value = 1; 
+		for (int j = msize - 1; j >= 0; j--) { 
+
+			// sb is substring starting from matched_index[j] 
+			// + 1 and of length i - matched_index[j] 
+			string sb = s.substr(matched_index[j] + 1, i - matched_index[j]); 
+
+			if (dictionaryContains(sb)) { 
+				f = 1; 
+				break; 
+			} 
+		} 
+
+		// If substring matches than do dp[i] = 1 and 
+		// push that index in matched_index array. 
+		if (f == 1) { 
+			dp[i] = 1; 
+			matched_index.push_back(i); 
+		} 
+	} 
+	return dp[n - 1]; 
+} 
+
+// Driver code 
+int main() 
+{ 
+//test cases
+	wordBreak("ilikesamsung") ? cout << "Yes\n" : cout << "No\n"; 
+	wordBreak("iiiiiiii") ? cout << "Yes\n" : cout << "No\n"; 
+	wordBreak("") ? cout << "Yes\n" : cout << "No\n"; 
+	wordBreak("ilikelikeimangoiii") ? cout << "Yes\n" : cout << "No\n"; 
+	wordBreak("samsungandmango") ? cout << "Yes\n" : cout << "No\n"; 
+	wordBreak("samsungandmangok") ? cout << "Yes\n" : cout << "No\n"; 
+	return 0; 
+} 
diff --git a/Egg Dropping b/Egg Dropping
new file mode 100644
index 00000000..927ac94e
--- /dev/null
+++ b/Egg Dropping	
@@ -0,0 +1,45 @@
+#include<bits/stdc++.h> 
+using namespace std; 
+
+// A utility function to get maximum of two integers 
+int max(int a, int b) { return (a > b)? a: b; } 
+
+/* Function to get minimum number of trials needed in worst 
+case with n eggs and k floors */
+int eggDrop(int n, int k) 
+{ 
+	// If there are no floors, then no trials needed. OR if there is 
+	// one floor, one trial needed. 
+	if (k == 1 || k == 0) 
+		return k; 
+
+	// We need k trials for one egg and k floors 
+	if (n == 1) 
+		return k; 
+
+	int min = INT_MAX, x, res; 
+
+	// Consider all droppings from 1st floor to kth floor and 
+	// return the minimum of these values plus 1. 
+	for (x = 1; x <= k; x++) 
+	{ 
+		res = max(eggDrop(n-1, x-1), eggDrop(n, k-x)); 
+		if (res < min) 
+			min = res; 
+	} 
+
+	return min + 1; 
+} 
+
+/* Driver program to test to pront printDups*/
+int main() 
+{ 
+	int n = 2, k = 10; 
+	cout << "Minimum number of trials in worst case with "
+		<< n << " eggs and " << k << " floors is "
+		<< eggDrop(n, k) << endl; 
+	return 0; 
+} 
+
+// This code is contributed 
+// by Akanksha Rai 
diff --git a/Fibonacci Numbers b/Fibonacci Numbers
new file mode 100644
index 00000000..58b7eae0
--- /dev/null
+++ b/Fibonacci Numbers	
@@ -0,0 +1,38 @@
+# include <iostream>
+# include <bits/stdc++.h>
+
+using namespace std;
+
+void input(int &n)
+{
+    cin>>n;
+}
+
+void display(int &c)        
+{
+    cout<<c<<"  ";
+}
+
+void fibo(int &n)
+{
+  int a=0, b=1, c=0;
+    
+    while(n--)
+    {
+        display(c);
+        a=b;
+        b=c;
+        c=a+b;
+    }
+}
+
+int main()
+{
+    int n;                    //for no. of elements
+
+    input(n);
+    
+    fibo(n);                  
+    
+    return 0;
+}
diff --git a/Fibonacci Numbers using Dynamic Programming b/Fibonacci Numbers using Dynamic Programming
new file mode 100644
index 00000000..d88e5410
--- /dev/null
+++ b/Fibonacci Numbers using Dynamic Programming	
@@ -0,0 +1,32 @@
+
+#include <bits/stdc++.h> 
+#include <boost/multiprecision/cpp_int.hpp> 
+using big_int = boost::multiprecision::cpp_int; 
+using namespace std; 
+  
+int fibo(int n) 
+{ 
+    
+    big_int a = 0; 
+    big_int b = 1; 
+    cout <<a<<"  "<<b<<"  "; 
+      
+    for (int i = 2; i < n; i++) 
+    { 
+        big_int c = a + b; 
+        cout <<c <<"  "; 
+        a = b; 
+        b = c; 
+    } 
+} 
+  
+
+int main() 
+{ 
+    int n; 
+    cin>>n;
+    
+    fibo(n); 
+      
+    return 0; 
+} 
diff --git a/Fibonacci Numbers using boost library b/Fibonacci Numbers using boost library
new file mode 100644
index 00000000..d88e5410
--- /dev/null
+++ b/Fibonacci Numbers using boost library	
@@ -0,0 +1,32 @@
+
+#include <bits/stdc++.h> 
+#include <boost/multiprecision/cpp_int.hpp> 
+using big_int = boost::multiprecision::cpp_int; 
+using namespace std; 
+  
+int fibo(int n) 
+{ 
+    
+    big_int a = 0; 
+    big_int b = 1; 
+    cout <<a<<"  "<<b<<"  "; 
+      
+    for (int i = 2; i < n; i++) 
+    { 
+        big_int c = a + b; 
+        cout <<c <<"  "; 
+        a = b; 
+        b = c; 
+    } 
+} 
+  
+
+int main() 
+{ 
+    int n; 
+    cin>>n;
+    
+    fibo(n); 
+      
+    return 0; 
+} 
diff --git a/Fibonacci Sequence/Fast Fibonacci/Python/fast_fib.py b/Fibonacci Sequence/Fast Fibonacci/Python/fast_fib.py
new file mode 100644
index 00000000..86e47590
--- /dev/null
+++ b/Fibonacci Sequence/Fast Fibonacci/Python/fast_fib.py	
@@ -0,0 +1,40 @@
+# fast_fib.py:
+# ------------
+#    This is an implementation of a faster way to get the n-th number in the
+# Fibonacci Sequence. While the direct translation of the formula is O(2^n) and
+# the classic dynamic programming approach is O(n), this algorithm, bases on
+# fast exponentiation and Dijkstra's formula is O(log n).
+#
+# Dijsktra's formula for calculating the n-th Fibonacci number establishes the
+# following recurrences:
+#    Fib(0)         = 0
+#    Fib(1)         = 1
+#    Fib(2 * k)     = (2 * Fib(k-1) + Fib(k)) * Fib(k)
+#    Fib(2 * k - 1) = Fib(k-1)^2 + Fib(k)^2
+
+# Memorization object. We use a dictionary instead of a regular array/list,
+# because most of the values will never be set (in fact, only a logarithmic
+# number of them will be set).
+memorized = {}
+
+def fib(n):
+    if memorized.get(n) is None:
+        # This number has not been encountered yet
+        if n < 2:
+            # This is one of the base cases
+            return n
+        elif n % 2 == 0:
+            # n is even and therefore is of the form n = 2 * k
+            k = n / 2
+            memorized[n] = (2 * fib(k-1) + fib(k)) * fib(k)  # memorize result
+        else:
+            # n is odd and therefore is of the form n = 2 * k - 1
+            k = (n + 1) / 2
+            memorized[n] =  fib(k-1)**2 + fib(k)**2  # memorize result
+    return memorized[n]
+
+# Main program, so we can test our immplementation
+print 'Give me a non-negative integer >>' ,
+n = int(input())
+f = fib(n)
+print 'The {}-th number in the fibonacci sequence is {}'.format(n, f)
\ No newline at end of file
diff --git a/Fibonacci Sequence/README.ME b/Fibonacci Sequence/README.ME
new file mode 100644
index 00000000..71b515b3
--- /dev/null
+++ b/Fibonacci Sequence/README.ME	
@@ -0,0 +1 @@
+It contains a program which generates Fibonacci Sequence at faster rates, the program is available in Python, C, C++.
diff --git a/Fibonacci Sequence/fast-fibonacci.py b/Fibonacci Sequence/fast-fibonacci.py
new file mode 100644
index 00000000..ff221a96
--- /dev/null
+++ b/Fibonacci Sequence/fast-fibonacci.py	
@@ -0,0 +1,41 @@
+def fib(n): 
+    F = [[1, 1], 
+         [1, 0]] 
+    if (n == 0): 
+        return 0
+    power(F, n - 1) 
+      
+    return F[0][0] 
+  
+def multiply(F, M): 
+  
+    x = (F[0][0] * M[0][0] + 
+         F[0][1] * M[1][0]) 
+    y = (F[0][0] * M[0][1] +
+         F[0][1] * M[1][1]) 
+    z = (F[1][0] * M[0][0] + 
+         F[1][1] * M[1][0]) 
+    w = (F[1][0] * M[0][1] + 
+         F[1][1] * M[1][1]) 
+      
+    F[0][0] = x 
+    F[0][1] = y 
+    F[1][0] = z 
+    F[1][1] = w 
+  
+def power(F, n): 
+  
+    if( n == 0 or n == 1): 
+        return; 
+    M = [[1, 1], 
+         [1, 0]]; 
+          
+    power(F, n // 2) 
+    multiply(F, F) 
+          
+    if (n % 2 != 0): 
+        multiply(F, M) 
+
+
+n = 11
+print(fib(n)) 
\ No newline at end of file
diff --git a/Fibonacci Sequence/fibonacci.js b/Fibonacci Sequence/fibonacci.js
new file mode 100644
index 00000000..fc880f99
--- /dev/null
+++ b/Fibonacci Sequence/fibonacci.js	
@@ -0,0 +1,6 @@
+// Recursive implementation
+export default function fibonacci(length) {
+  if (length <= 1) return 1;
+  
+  return fibonacci(length - 1) + fibonacci(length - 2);
+}
diff --git a/Fibonacci Series b/Fibonacci Series
new file mode 100644
index 00000000..2a91a86a
--- /dev/null
+++ b/Fibonacci Series	
@@ -0,0 +1,25 @@
+class Fibonacci { 
+    static int fib(int n) 
+    { 
+        int f[] = new int[n + 1]; 
+        int i; 
+        f[0] = 0; 
+  
+        if (n > 0) { 
+            f[1] = 1; 
+  
+            for (i = 2; i <= n; i++) { 
+                 f[i] = f[i - 1] + f[i - 2]; 
+            } 
+        } 
+  
+        return f[n]; 
+    } 
+  
+    public static void main(String args[]) 
+    { 
+    Scanner sc=new Scanner(System.in);
+        int n = sc.nextInt(); 
+        System.out.println(fib(n)); 
+    } 
+} 
diff --git a/Gcd.java b/Gcd.java
new file mode 100644
index 00000000..882a07f1
--- /dev/null
+++ b/Gcd.java
@@ -0,0 +1,17 @@
+class Test {
+
+    static int gcd(int a, int b) 
+    { 
+      if (b == 0) 
+        return a; 
+      return gcd(b, a % b);  
+    } 
+      
+    // Driver method 
+    public static void main(String[] args)  
+    { 
+    Scanner sc=new Scanner(System.in);
+       int a=sc.nextInt(),b=sc.nextInt(); 
+        System.out.println("GCD of " + a +" and " + b + " is " + gcd(a, b)); 
+    } 
+} 
diff --git a/Go/BinarySearch.go b/Go/BinarySearch.go
new file mode 100644
index 00000000..e082dc7c
--- /dev/null
+++ b/Go/BinarySearch.go
@@ -0,0 +1,24 @@
+package main
+
+import "fmt"
+
+func main() {
+	arr := []int{1, 2, 3, 4, 5}
+	fmt.Println(BinarySearch(arr, 5))
+}
+
+// Returns -1 If element not found
+func BinarySearch(arr []int, k int) int {
+	lo, hi, mid := 0, len(arr)-1, 0
+	for hi >= lo {
+		mid = (lo + hi) / 2
+		if arr[mid] == k {
+			return mid
+		} else if arr[mid] > k {
+			hi = mid - 1
+		} else {
+			lo = mid + 1
+		}
+	}
+	return -1
+}
diff --git a/Go/BubbleSort.go b/Go/BubbleSort.go
new file mode 100644
index 00000000..985d777f
--- /dev/null
+++ b/Go/BubbleSort.go
@@ -0,0 +1,16 @@
+package bubble-sort
+
+func sort(arr []int) {
+	for itemCount := len(arr) - 1; ; itemCount-- {
+		swap := false
+		for i := 1; i <= itemCount; i++ {
+			if arr[i-1] > arr[i] {
+				arr[i-1], arr[i] = arr[i], arr[i-1]
+				swap = true
+			}
+		}
+		if swap == false {
+			break
+		}
+	}
+}
\ No newline at end of file
diff --git a/Go/Dijkstra.go b/Go/Dijkstra.go
new file mode 100644
index 00000000..2f81e5ad
--- /dev/null
+++ b/Go/Dijkstra.go
@@ -0,0 +1,126 @@
+package main
+
+import (
+	"bufio"
+	"fmt"
+	"log"
+	"os"
+	"strconv"
+	"strings"
+)
+
+type graph struct {
+	edges map[int][]*edge
+	nodes map[int]struct{}
+}
+
+type edge struct {
+	head   int
+	length int
+}
+
+var shortestPaths = make(map[int]int)
+
+func (g *graph) load(filename string) error {
+	file, err := os.Open(filename)
+
+	if err != nil {
+		log.Fatal(err)
+	}
+	defer file.Close()
+
+	scanner := bufio.NewScanner(file)
+	for scanner.Scan() {
+		edges := strings.Split(strings.TrimSpace(scanner.Text()), "\t")
+
+		// Convert tail vertex to number
+		tail, err := strconv.Atoi(edges[0])
+		if err != nil {
+			log.Fatal(err)
+		}
+
+		g.nodes[tail] = struct{}{}
+
+		for i := 1; i < len(edges); i++ {
+			data := strings.Split(edges[i], ",")
+
+			// Convert adjacent vertex to number
+			head, err := strconv.Atoi(data[0])
+			if err != nil {
+				log.Fatal(err)
+			}
+
+			// Convert length to number
+			length, err := strconv.Atoi(data[1])
+			if err != nil {
+				log.Fatal(err)
+			}
+
+			g.nodes[head] = struct{}{}
+			g.edges[tail] = append(g.edges[tail], &edge{head: head, length: length})
+		}
+	}
+
+	return scanner.Err()
+}
+
+func (g *graph) dijkstra(source int) map[int]int {
+
+	// Create map to track distances from source vertex
+	var u int
+	dist := make(map[int]int)
+
+	// Distance from source to source is zero
+	dist[source] = 0
+
+	// Initalize all distances to maximum
+	for index := range g.nodes {
+		if index != source {
+			dist[index] = 32767
+		}
+	}
+
+	// Iterate over all vertices
+	for {
+
+		// Check if we have nodes left
+		if len(g.nodes) == 0 {
+			break
+		}
+
+		// Find vertex with minimum distance
+		min := 32767
+		for index := range g.nodes {
+			if dist[index] < min {
+				min = dist[index]
+				u = index
+			}
+		}
+
+		// Remove minimum vertex
+		delete(g.nodes, u)
+
+		// Calculate minimum edgde distance
+		for _, edge := range g.edges[u] {
+			if dist[u]+edge.length < dist[edge.head] {
+				dist[edge.head] = dist[u] + edge.length
+			}
+		}
+	}
+
+	return dist
+}
+
+func main() {
+
+	g := &graph{}
+	g.edges = make(map[int][]*edge)
+	g.nodes = make(map[int]struct{})
+
+	log.Println("Loading graph...")
+	g.load("dijkstraData.txt")
+
+	distances := g.dijkstra(1)
+
+	fmt.Printf("%d,%d,%d,%d,%d,%d,%d,%d,%d,%d\n", distances[7], distances[37], distances[59], distances[82], distances[99], distances[115], distances[133], distances[165], distances[188], distances[197])
+}
diff --git a/Go/FlyodsAlgorithm.go b/Go/FlyodsAlgorithm.go
new file mode 100644
index 00000000..1a6af7d5
--- /dev/null
+++ b/Go/FlyodsAlgorithm.go
@@ -0,0 +1,58 @@
+// Floyd–Warshall in Golang
+package main
+  
+import (
+    "fmt"
+    "math"
+)
+  
+type graph struct {
+    to int
+    wt float64
+}
+  
+func floydWarshall(g [][]graph) [][]float64 {
+    dist := make([][]float64, len(g))
+    for i := range dist {
+        di := make([]float64, len(g))
+        for j := range di {
+            di[j] = math.Inf(1)
+        }
+        di[i] = 0
+        dist[i] = di
+    }
+    for u, graphs := range g {
+        for _, v := range graphs {
+            dist[u][v.to] = v.wt
+        }
+    }
+    for k, dk := range dist {
+        for _, di := range dist {
+            for j, dij := range di {
+                if d := di[k] + dk[j]; dij > d {
+                    di[j] = d
+                }
+            }
+        }
+    }
+    return dist
+}
+  
+func main() {
+    gra := [][]graph{        
+        1: {{2, 3}, {3, 8},{5, -4}},
+        2: {{4, 1}, {5, 7}},
+        3: {{2, 4}},
+        4: {{1, 2}, {3, -5}},
+        5: {{4, 6}},
+    }
+         
+    dist := floydWarshall(gra)
+    //dist[][] will be the output matrix that will finally
+    //have the shortest distances between every pair of vertices
+    for _, d := range dist {
+        fmt.Printf("%4g\n", d)
+    }
+}
+
+// Source : http://www.golangprograms.com/golang-program-for-implementation-of-floyd-warshall-algorithm.html
\ No newline at end of file
diff --git a/Go/GCDEuclidean.go b/Go/GCDEuclidean.go
new file mode 100644
index 00000000..924e8ec0
--- /dev/null
+++ b/Go/GCDEuclidean.go
@@ -0,0 +1,14 @@
+package math
+
+// GCDEuclidean
+func GCDEuclidean(num1, num2 int) int {
+	for num1 != num2 {
+		if num1 > num2 {
+			num1 -= num2
+		} else {
+			num2 -= num1
+		}
+	}
+
+	return num1
+}
\ No newline at end of file
diff --git a/Go/HeapSort.go b/Go/HeapSort.go
new file mode 100644
index 00000000..c1079858
--- /dev/null
+++ b/Go/HeapSort.go
@@ -0,0 +1,75 @@
+package main
+
+import (
+	"fmt"
+	"math/rand"
+	"time"
+)
+
+func main() {
+	var heap *Heap
+	slice := generateSlice(20)
+	fmt.Println("\n--- Unsorted --- \n\n", slice)
+	heap.HeapSort(slice)
+	fmt.Println("\n--- Sorted ---\n\n", slice)
+}
+
+// Generates a slice of size, size filled with random numbers
+func generateSlice(size int) []int {
+
+	slice := make([]int, size, size)
+	rand.Seed(time.Now().UnixNano())
+	for i := 0; i < size; i++ {
+		slice[i] = rand.Intn(999) - rand.Intn(999)
+	}
+	return slice
+}
+
+type Heap struct {
+}
+
+func (heap *Heap) HeapSort(array []int) {
+	heap.BuildHeap(array)
+
+	for length := len(array); length > 1; length-- {
+		heap.RemoveTop(array, length)
+	}
+}
+
+func (heap *Heap) BuildHeap(array []int) {
+	for i := len(array) / 2; i >= 0; i-- {
+		heap.Heapify(array, i, len(array))
+	}
+}
+
+func (heap *Heap) RemoveTop(array []int, length int) {
+	var lastIndex = length - 1
+	array[0], array[lastIndex] = array[lastIndex], array[0]
+	heap.Heapify(array, 0, lastIndex)
+}
+
+func (heap *Heap) Heapify(array []int, root, length int) {
+	var max = root
+	var l, r = heap.Left(array, root), heap.Right(array, root)
+
+	if l < length && array[l] > array[max] {
+		max = l
+	}
+
+	if r < length && array[r] > array[max] {
+		max = r
+	}
+
+	if max != root {
+		array[root], array[max] = array[max], array[root]
+		heap.Heapify(array, max, length)
+	}
+}
+
+func (*Heap) Left(array []int, root int) int {
+	return (root * 2) + 1
+}
+
+func (*Heap) Right(array []int, root int) int {
+	return (root * 2) + 2
+}
diff --git a/Go/InsertionSort.go b/Go/InsertionSort.go
new file mode 100644
index 00000000..61eab1ae
--- /dev/null
+++ b/Go/InsertionSort.go
@@ -0,0 +1,20 @@
+package main
+
+import "fmt"
+
+func InsertionSort(arr []int) {
+	for i, val := range arr {
+		j := i - 1
+		for j >= 0 && arr[j] > val {
+			arr[j+1] = arr[j]
+			j = j - 1
+		}
+		arr[j + 1] = val
+	}
+}
+
+func main() {
+	arr := []int{2, 1, 1, 3}
+	InsertionSort(arr)
+	fmt.Println(arr)
+}
diff --git a/Go/Kadanes.go b/Go/Kadanes.go
new file mode 100644
index 00000000..9c088454
--- /dev/null
+++ b/Go/Kadanes.go
@@ -0,0 +1,26 @@
+package main
+
+import (
+	"fmt"
+)
+
+func Max(x, y int64) int64 {
+	if x > y {
+		return x
+	}
+	return y
+}
+
+func Kadane(arr []int64) int64 {
+	var maxSoFar, maxEnding int64 = 0, 0
+	for _, x := range arr {
+		maxEnding = Max(0, maxEnding + x)
+		maxSoFar = Max(maxSoFar, maxEnding)
+	}
+	return maxSoFar
+}
+
+func main() {
+	arr := []int64{-2, -3, 4, -1, -2, 1, 5, -3}
+	fmt.Printf("Max contiguous sum is %d", Kadane(arr))
+}
diff --git a/Go/countinversion.go b/Go/countinversion.go
new file mode 100644
index 00000000..3ff68cc9
--- /dev/null
+++ b/Go/countinversion.go
@@ -0,0 +1,57 @@
+package countinv
+
+func CountInversions(arr []int) int {
+	tmp := make([]int, len(arr))
+	return mergeSort(arr, tmp, 0, len(arr)-1)
+}
+
+func mergeSort(arr []int, tmp []int, lft, rgt int) int {
+	mid := 0
+	invCnt := 0
+	if rgt > lft {
+		mid = (rgt + lft) / 2
+
+		invCnt = mergeSort(arr, tmp, lft, mid)
+		invCnt += mergeSort(arr, tmp, mid+1, rgt)
+
+		invCnt += merge(arr, tmp, lft, mid+1, rgt)
+	}
+
+	return invCnt
+}
+
+func merge(arr []int, tmp []int, lft, mid, rgt int) int {
+	i, j, k := lft, mid, lft
+	invCnt := 0
+
+	for i <= (mid-1) && j <= rgt {
+		if arr[i] <= arr[j] {
+			tmp[k] = arr[i]
+			k++
+			i++
+		} else {
+			tmp[k] = arr[j]
+			k++
+			j++
+			invCnt += (mid - i)
+		}
+	}
+
+	for i <= (mid - 1) {
+		tmp[k] = arr[i]
+		i++
+		k++
+	}
+
+	for j <= rgt {
+		tmp[k] = arr[j]
+		k++
+		j++
+	}
+
+	for i = lft; i <= rgt; i++ {
+		arr[i] = tmp[i]
+	}
+
+	return invCnt
+}
diff --git a/Go/fibonacciSeries.go b/Go/fibonacciSeries.go
new file mode 100644
index 00000000..4f664c3b
--- /dev/null
+++ b/Go/fibonacciSeries.go
@@ -0,0 +1,18 @@
+package main
+
+import "fmt"
+
+func fib(n int) int {
+	var sequence = make([]int, n + 1, n + 1)
+	sequence[0], sequence[1] = 0, 1
+
+	for i := 2; i <= n; i += 1 {
+		sequence[i] = sequence[i-1] + sequence[i-2]
+	}
+
+	return sequence[n]
+}
+
+func main() {
+	fmt.Println(fib(10))
+}
diff --git a/Go/hammingDistance.go b/Go/hammingDistance.go
new file mode 100644
index 00000000..450b4fc1
--- /dev/null
+++ b/Go/hammingDistance.go
@@ -0,0 +1,16 @@
+package hammingDistance
+
+func HammingDistance(a, b string) int {
+	if len(a) != len(b) {
+		panic("The two strings must have equal length")
+	}
+	aRunes := []rune(a)
+	bRunes := []rune(b)
+	distance := 0
+	for i, r := range aRunes {
+		if r != bRunes[i] {
+			distance++
+		}
+	}
+	return distance
+}
diff --git a/Go/linear_search.go b/Go/linear_search.go
new file mode 100644
index 00000000..b1aa5171
--- /dev/null
+++ b/Go/linear_search.go
@@ -0,0 +1,13 @@
+package search
+
+// LinearSearch returns the index of the given key found on the list.
+// It returns a value of -1 if the key doesn't exist
+func LinearSearch(list []int, key int) int {
+	for index, element := range list {
+		if key == element {
+			return index
+		}
+	}
+
+	return -1
+}
diff --git a/Go/merge_sort.go b/Go/merge_sort.go
new file mode 100644
index 00000000..29dc159f
--- /dev/null
+++ b/Go/merge_sort.go
@@ -0,0 +1,76 @@
+// Merge Sort in Golang
+package main
+
+import (
+	"fmt"
+	"math/rand"
+	"time"
+)
+
+func main() {
+
+	slice := generateSlice(20)
+	fmt.Println("\n--- Unsorted --- \n\n", slice)
+	fmt.Println("\n--- Sorted ---\n\n", mergeSort(slice))
+}
+
+// Generates a slice of size, size filled with random numbers
+func generateSlice(size int) []int {
+
+	slice := make([]int, size, size)
+	rand.Seed(time.Now().UnixNano())
+	for i := 0; i < size; i++ {
+		slice[i] = rand.Intn(999) - rand.Intn(999)
+	}
+	return slice
+}
+
+func mergeSort(items []int) []int {
+	var num = len(items)
+
+	if num == 1 {
+		return items
+	}
+
+	middle := int(num / 2)
+	var (
+		left  = make([]int, middle)
+		right = make([]int, num-middle)
+	)
+	for i := 0; i < num; i++ {
+		if i < middle {
+			left[i] = items[i]
+		} else {
+			right[i-middle] = items[i]
+		}
+	}
+
+	return merge(mergeSort(left), mergeSort(right))
+}
+
+func merge(left, right []int) (result []int) {
+	result = make([]int, len(left)+len(right))
+
+	i := 0
+	for len(left) > 0 && len(right) > 0 {
+		if left[0] < right[0] {
+			result[i] = left[0]
+			left = left[1:]
+		} else {
+			result[i] = right[0]
+			right = right[1:]
+		}
+		i++
+	}
+
+	for j := 0; j < len(left); j++ {
+		result[i] = left[j]
+		i++
+	}
+	for j := 0; j < len(right); j++ {
+		result[i] = right[j]
+		i++
+	}
+
+	return
+}
diff --git a/Graph Algorithms/Dinic's Algo/dinic.cpp b/Graph Algorithms/Dinic's Algo/dinic.cpp
new file mode 100644
index 00000000..19262d65
--- /dev/null
+++ b/Graph Algorithms/Dinic's Algo/dinic.cpp	
@@ -0,0 +1,93 @@
+#include <vector>
+#include <queue>
+
+/*
+  usage : include this file in your project
+  If you want to test create an instance of the struct Dinic 
+  pass in the appropriate arguments
+  call the flow() function
+*/
+
+using namespace std;
+
+struct FlowEdge {
+    int v, u;
+    long long cap, flow = 0;
+    FlowEdge(int v, int u, long long cap) : v(v), u(u), cap(cap) {}
+};
+
+struct Dinic {
+    const long long flow_inf = 1e18;
+    vector<FlowEdge> edges;
+    vector<vector<int>> adj;
+    int n, m = 0;
+    int s, t;
+    vector<int> level, ptr;
+    queue<int> q;
+
+    Dinic(int n, int s, int t) : n(n), s(s), t(t) {
+        adj.resize(n);
+        level.resize(n);
+        ptr.resize(n);
+    }
+
+    void add_edge(int v, int u, long long cap) {
+        edges.emplace_back(v, u, cap);
+        edges.emplace_back(u, v, 0);
+        adj[v].push_back(m);
+        adj[u].push_back(m + 1);
+        m += 2;
+    }
+
+    bool bfs() {
+        while (!q.empty()) {
+            int v = q.front();
+            q.pop();
+            for (int id : adj[v]) {
+                if (edges[id].cap - edges[id].flow < 1)
+                    continue;
+                if (level[edges[id].u] != -1)
+                    continue;
+                level[edges[id].u] = level[v] + 1;
+                q.push(edges[id].u);
+            }
+        }
+        return level[t] != -1;
+    }
+
+    long long dfs(int v, long long pushed) {
+        if (pushed == 0)
+            return 0;
+        if (v == t)
+            return pushed;
+        for (int& cid = ptr[v]; cid < (int)adj[v].size(); cid++) {
+            int id = adj[v][cid];
+            int u = edges[id].u;
+            if (level[v] + 1 != level[u] || edges[id].cap - edges[id].flow < 1)
+                continue;
+            long long tr = dfs(u, min(pushed, edges[id].cap - edges[id].flow));
+            if (tr == 0)
+                continue;
+            edges[id].flow += tr;
+            edges[id ^ 1].flow -= tr;
+            return tr;
+        }
+        return 0;
+    }
+
+    long long flow() {
+        long long f = 0;
+        while (true) {
+            fill(level.begin(), level.end(), -1);
+            level[s] = 0;
+            q.push(s);
+            if (!bfs())
+                break;
+            fill(ptr.begin(), ptr.end(), 0);
+            while (long long pushed = dfs(s, flow_inf)) {
+                f += pushed;
+            }
+        }
+        return f;
+    }
+};
\ No newline at end of file
diff --git a/Graph Algorithms/Eulerian Graph/C++/eulerian_graph.cpp b/Graph Algorithms/Eulerian Graph/C++/eulerian_graph.cpp
new file mode 100644
index 00000000..54c7c915
--- /dev/null
+++ b/Graph Algorithms/Eulerian Graph/C++/eulerian_graph.cpp	
@@ -0,0 +1,159 @@
+// A C++ program to check if a given graph is Eulerian or not 
+#include<iostream> 
+#include <list> 
+using namespace std; 
+
+// A class that represents an undirected graph 
+class Graph 
+{ 
+	int V; // No. of vertices 
+	list<int> *adj; // A dynamic array of adjacency lists 
+public: 
+	// Constructor and destructor 
+	Graph(int V) {this->V = V; adj = new list<int>[V]; } 
+	~Graph() { delete [] adj; } // To avoid memory leak 
+
+	// function to add an edge to graph 
+	void add_edge(int v, int w); 
+
+	// Method to check if this graph is Eulerian or not 
+	int is_eulerian(); 
+
+	// Method to check if all non-zero degree vertices are connected 
+	bool is_connected(); 
+
+	// Function to do DFS starting from v. Used in is_connected(); 
+	void get_dfs(int v, bool visited[]); 
+}; 
+
+void Graph::add_edge(int v, int w) 
+{ 
+	adj[v].push_back(w); 
+	adj[w].push_back(v); // Note: the graph is undirected 
+} 
+
+void Graph::get_dfs(int v, bool visited[]) 
+{ 
+	// Mark the current node as visited and print it 
+	visited[v] = true; 
+
+	// Recur for all the vertices adjacent to this vertex 
+	list<int>::iterator i; 
+	for (i = adj[v].begin(); i != adj[v].end(); ++i) 
+		if (!visited[*i]) 
+			get_dfs(*i, visited); 
+} 
+
+// Method to check if all non-zero degree vertices are connected. 
+// It mainly does DFS traversal starting from 
+bool Graph::is_connected() 
+{ 
+	// Mark all the vertices as not visited 
+	bool visited[V]; 
+	int i; 
+	for (i = 0; i < V; i++) 
+		visited[i] = false; 
+
+	// Find a vertex with non-zero degree 
+	for (i = 0; i < V; i++) 
+		if (adj[i].size() != 0) 
+			break; 
+
+	// If there are no edges in the graph, return true 
+	if (i == V) 
+		return true; 
+
+	// Start DFS traversal from a vertex with non-zero degree 
+	get_dfs(i, visited); 
+
+	// Check if all non-zero degree vertices are visited 
+	for (i = 0; i < V; i++) 
+	if (visited[i] == false && adj[i].size() > 0) 
+			return false; 
+
+	return true; 
+} 
+
+/* The function returns one of the following values 
+0 --> If grpah is not Eulerian 
+1 --> If graph has an Euler path (Semi-Eulerian) 
+2 --> If graph has an Euler Circuit (Eulerian) */
+int Graph::is_eulerian() 
+{ 
+	// Check if all non-zero degree vertices are connected 
+	if (is_connected() == false) 
+		return 0; 
+
+	// Count vertices with odd degree 
+	int odd = 0; 
+	for (int i = 0; i < V; i++) 
+		if (adj[i].size() & 1) 
+			odd++; 
+
+	// If count is more than 2, then graph is not Eulerian 
+	if (odd > 2) 
+		return 0; 
+
+	// If odd count is 2, then semi-eulerian. 
+	// If odd count is 0, then eulerian 
+	// Note that odd count can never be 1 for undirected graph 
+	return (odd)? 1 : 2; 
+} 
+
+// Function to run test cases 
+void test(Graph &g) 
+{ 
+	int res = g.is_eulerian(); 
+	if (res == 0) 
+		cout << "graph is not Eulerian\n"; 
+	else if (res == 1) 
+		cout << "graph has a Euler path\n"; 
+	else
+		cout << "graph has a Euler cycle\n"; 
+} 
+
+// Driver program to test above function 
+int main() 
+{ 
+	// Let us create and test graphs shown in above figures 
+	Graph g1(5); 
+	g1.add_edge(1, 0); 
+	g1.add_edge(0, 2); 
+	g1.add_edge(2, 1); 
+	g1.add_edge(0, 3); 
+	g1.add_edge(3, 4); 
+	test(g1); 
+
+	Graph g2(5); 
+	g2.add_edge(1, 0); 
+	g2.add_edge(0, 2); 
+	g2.add_edge(2, 1); 
+	g2.add_edge(0, 3); 
+	g2.add_edge(3, 4); 
+	g2.add_edge(4, 0); 
+	test(g2); 
+
+	Graph g3(5); 
+	g3.add_edge(1, 0); 
+	g3.add_edge(0, 2); 
+	g3.add_edge(2, 1); 
+	g3.add_edge(0, 3); 
+	g3.add_edge(3, 4); 
+	g3.add_edge(1, 3); 
+	test(g3); 
+
+	// Let us create a graph with 3 vertices 
+	// connected in the form of cycle 
+	Graph g4(3); 
+	g4.add_edge(0, 1); 
+	g4.add_edge(1, 2); 
+	g4.add_edge(2, 0); 
+	test(g4); 
+
+	// Let us create a graph with all veritces 
+	// with zero degree 
+	Graph g5(3); 
+	test(g5); 
+
+	return 0; 
+} 
diff --git a/Graph Algorithms/Karger's Algo/C++/Karger_Algo.cpp b/Graph Algorithms/Karger's Algo/C++/Karger_Algo.cpp
new file mode 100644
index 00000000..16cd7f01
--- /dev/null
+++ b/Graph Algorithms/Karger's Algo/C++/Karger_Algo.cpp	
@@ -0,0 +1,193 @@
+// Karger's algorithm to find Minimum Cut in an 
+// undirected, unweighted and connected graph. 
+#include <stdio.h> 
+#include <stdlib.h> 
+#include <time.h> 
+
+// a structure to represent a unweighted edge in graph 
+struct edge 
+{ 
+	int src, dest; 
+}; 
+
+// a structure to represent a connected, undirected 
+// and unweighted graph as a collection of edges. 
+struct Graph 
+{ 
+	// V-> Number of vertices, E-> Number of edges 
+	int V, E; 
+
+	// graph is represented as an array of edges. 
+	// Since the graph is undirected, the edge 
+	// from src to dest is also edge from dest 
+	// to src. Both are counted as 1 edge here. 
+	edge* edge; 
+}; 
+
+// A structure to represent a sub_set for union-find 
+struct sub_set 
+{ 
+	int parent; 
+	int rank; 
+}; 
+
+// Function prototypes for union-find (These functions are defined 
+// after karger_min_cut() ) 
+int find(struct sub_set subsets[], int i); 
+void union(struct sub_set subsets[], int x, int y); 
+
+// A very basic implementation of Karger's randomized 
+// algorithm for finding the minimum cut. Please note 
+// that Karger's algorithm is a Monte Carlo Randomized algo 
+// and the cut returned by the algorithm may not be 
+// minimum always 
+int karger_min_cut(struct Graph* graph) 
+{ 
+	// Get data of given graph 
+	int V = graph->V, E = graph->E; 
+	edge *edge = graph->edge; 
+
+	// Allocate memory for creating V subsets. 
+	struct sub_set *subsets = new sub_set[V]; 
+
+	// Create V subsets with single elements 
+	for (int v = 0; v < V; ++v) 
+	{ 
+		subsets[v].parent = v; 
+		subsets[v].rank = 0; 
+	} 
+
+	// Initially there are V vertices in 
+	// contracted graph 
+	int vertices = V; 
+
+	// Keep contracting vertices until there are 
+	// 2 vertices. 
+	while (vertices > 2) 
+	{ 
+	// Pick a random edge 
+	int i = rand() % E; 
+
+	// Find vertices (or sets) of two corners 
+	// of current edge 
+	int subset1 = find(subsets, edge[i].src); 
+	int subset2 = find(subsets, edge[i].dest); 
+
+	// If two corners belong to same sub_set, 
+	// then no point considering this edge 
+	if (subset1 == subset2) 
+		continue; 
+
+	// Else contract the edge (or combine the 
+	// corners of edge into one vertex) 
+	else
+	{ 
+		printf("Contracting edge %d-%d\n", 
+				edge[i].src, edge[i].dest); 
+		vertices--; 
+		union(subsets, subset1, subset2); 
+	} 
+	} 
+
+	// Now we have two vertices (or subsets) left in 
+	// the contracted graph, so count the edges between 
+	// two components and return the count. 
+	int cutedges = 0; 
+	for (int i=0; i<E; i++) 
+	{ 
+		int subset1 = find(subsets, edge[i].src); 
+		int subset2 = find(subsets, edge[i].dest); 
+		if (subset1 != subset2) 
+		cutedges++; 
+	} 
+
+	return cutedges; 
+} 
+
+// A utility function to find set of an element i 
+// (uses path compression technique) 
+int find(struct sub_set subsets[], int i) 
+{ 
+	// find root and make root as parent of i 
+	// (path compression) 
+	if (subsets[i].parent != i) 
+	subsets[i].parent = 
+			find(subsets, subsets[i].parent); 
+
+	return subsets[i].parent; 
+} 
+
+// A function that does union of two sets of x and y 
+// (uses union by rank) 
+void union(struct sub_set subsets[], int x, int y) 
+{ 
+	int xroot = find(subsets, x); 
+	int yroot = find(subsets, y); 
+
+	// Attach smaller rank tree under root of high 
+	// rank tree (union by Rank) 
+	if (subsets[xroot].rank < subsets[yroot].rank) 
+		subsets[xroot].parent = yroot; 
+	else if (subsets[xroot].rank > subsets[yroot].rank) 
+		subsets[yroot].parent = xroot; 
+
+	// If ranks are same, then make one as root and 
+	// increment its rank by one 
+	else
+	{ 
+		subsets[yroot].parent = xroot; 
+		subsets[xroot].rank++; 
+	} 
+} 
+
+// Creates a graph with V vertices and E edges 
+struct Graph* create_graph(int V, int E) 
+{ 
+	Graph* graph = new Graph; 
+	graph->V = V; 
+	graph->E = E; 
+	graph->edge = new edge[E]; 
+	return graph; 
+} 
+
+// Driver program to test above functions 
+int main() 
+{ 
+	/* Let us create following unweighted graph 
+		0------1 
+		| \ | 
+		| \ | 
+		|	 \| 
+		2------3 */
+	int V = 4; // Number of vertices in graph 
+	int E = 5; // Number of edges in graph 
+	struct Graph* graph = create_graph(V, E); 
+
+	// add edge 0-1 
+	graph->edge[0].src = 0; 
+	graph->edge[0].dest = 1; 
+
+	// add edge 0-2 
+	graph->edge[1].src = 0; 
+	graph->edge[1].dest = 2; 
+
+	// add edge 0-3 
+	graph->edge[2].src = 0; 
+	graph->edge[2].dest = 3; 
+
+	// add edge 1-3 
+	graph->edge[3].src = 1; 
+	graph->edge[3].dest = 3; 
+
+	// add edge 2-3 
+	graph->edge[4].src = 2; 
+	graph->edge[4].dest = 3; 
+
+	// Use a different seed value for every run. 
+	srand(time(NULL)); 
+
+	printf("\nCut found by Karger's randomized algo is %d\n", 
+		karger_min_cut(graph)); 
+
+	return 0; 
+} 
diff --git a/Graph Algorithms/closestpairofpoints.py b/Graph Algorithms/closestpairofpoints.py
new file mode 100644
index 00000000..e8eb4b9a
--- /dev/null
+++ b/Graph Algorithms/closestpairofpoints.py	
@@ -0,0 +1,23 @@
+from math import sqrt, pow
+
+def distance(a, b):
+  return sqrt(pow(a[0] - b[0],2) + pow(a[1] - b[1],2))
+
+def bruteMin(points, current=float("inf")):
+  if len(points) < 2: return current
+  else:
+    head = points[0]
+    del points[0]
+    newMin = min([distance(head, x) for x in points])
+    newCurrent = min([newMin, current])
+    return bruteMin(points, newCurrent)
+
+def divideMin(points):
+  half = len(sorted(points))/2
+  minimum = min([bruteMin(points[:half]), bruteMin(points[half:])])
+  nearLine = filter(lambda x: x[0] > half - minimum and x[0] < half + minimum, points)
+  return min([bruteMin(nearLine), minimum])
+
+list1 = [(12,30), (40, 50), (5, 1), (12, 10), (3,4)]
+print divideMin(list1)
+@ask2sm
diff --git a/Graph Algorithms/detectcycleingraph.py b/Graph Algorithms/detectcycleingraph.py
new file mode 100644
index 00000000..58a51bf3
--- /dev/null
+++ b/Graph Algorithms/detectcycleingraph.py	
@@ -0,0 +1,38 @@
+def DFS(graph, v):
+    color = [-1] * v
+    parent = [-1] * v
+    time = 0
+    for i in range(v):
+        if(color[i] == -1):
+            DFSvisit(graph, v, i, color, parent, time)
+    print(color)
+    print(parent)
+
+def DFSvisit(graph, v, s, color, parent, time):
+    color[s] = 0
+    time += 1
+    for i in range(0,v):
+        if(graph[s][i]==1):
+            if(color[i]==0):
+                print("Cycle detected at:",s)
+                return
+        if(graph[s][i] == 1):
+            if(color[i] == 0):
+                parent[i] = s
+                DFSvisit(graph, v, i, color, parent, time)
+    color[s] = 1
+    time += 1 
+
+
+def main():
+    Graph=[[0, 1, 1, 0, 0, 0], 
+          [1, 0, 0, 1, 0, 0], 
+          [0, 0, 1, 0, 0, 0], 
+          [0, 0, 1, 1, 0, 0], 
+          [0, 0, 0, 0, 0, 0], 
+          [0, 0, 0, 0, 0, 1]] 
+    v = len(Graph[0])
+    DFS(Graph, v)
+
+if __name__ == '__main__':
+    main()
diff --git a/Graph Algorithms/floodfillalgo.py b/Graph Algorithms/floodfillalgo.py
new file mode 100644
index 00000000..08a365e5
--- /dev/null
+++ b/Graph Algorithms/floodfillalgo.py	
@@ -0,0 +1,37 @@
+
+def floodfill(x, y, oldColor, newColor):
+
+    # assume surface is a 2D image and surface[x][y] is the color at x, y.
+
+    if surface[x][y] != oldColor: # the base case
+
+        return
+
+    surface[x][y] = newColor
+
+    floodfill(x + 1, y, oldColor, newColor) # right
+
+    floodfill(x - 1, y, oldColor, newColor) # left
+
+    floodfill(x, y + 1, oldColor, newColor) # down
+
+    floodfill(x, y - 1, oldColor, newColor) # up
+#adjacency matrix representation of graph
+surface[M][N] = [[1, 1, 1, 1, 1, 1, 1, 1], 
+                  [1, 1, 1, 1, 1, 1, 0, 0], 
+                  [1, 0, 0, 1, 1, 0, 1, 1], 
+                  [1, 2, 2, 2, 2, 0, 1, 0], 
+                  [1, 1, 1, 2, 2, 0, 1, 0], 
+                  [1, 1, 1, 2, 2, 2, 2, 0], 
+                  [1, 1, 1, 1, 1, 2, 1, 1], 
+                  [1, 1, 1, 1, 1, 2, 2, 1]]
+#change all the nodes having color 2 to 3
+x=4 
+y=4
+newC= 3
+oldColor=2
+floodfill(x, y,oldColor,newColor)
+#print
+for i in range(m):
+    for j in range(n):
+        print([i][j])
diff --git a/Graph Algorithms/isbipartite.py b/Graph Algorithms/isbipartite.py
new file mode 100644
index 00000000..afee91c7
--- /dev/null
+++ b/Graph Algorithms/isbipartite.py	
@@ -0,0 +1,72 @@
+# Python program to check a graph is Bipartite or not 
+
+class Graph(): 
+
+	def __init__(self, V): 
+		self.V = V 
+		self.graph = [[0 for column in range(V)] \ 
+                                for row in range(V)] 
+
+	# This function returns true if graph G[V][V] 
+	# is Bipartite, else false 
+	def isBipartite(self, src): 
+
+		# Create a color array to store colors 
+		# assigned to all veritces. Vertex 
+		# number is used as index in this array. 
+		# The value '-1' of colorArr[i] is used to 
+		# indicate that no color is assigned to 
+		# vertex 'i'. The value 1 is used to indicate 
+		# first color is assigned and value 0 
+		# indicates second color is assigned. 
+		colorArr = [-1] * self.V 
+
+		# Assign first color to source 
+		colorArr[src] = 1
+
+		# Create a queue (FIFO) of vertex numbers and 
+		# enqueue source vertex for BFS traversal 
+		queue = [] 
+		queue.append(src) 
+
+		# Run while there are vertices in queue 
+		# BFS approach 
+		while queue: 
+
+			u = queue.pop() 
+
+			# Return false if there is a self-loop 
+			if self.graph[u][u] == 1: 
+				return False; 
+
+			for v in range(self.V): 
+
+				# An edge from u to v exists and destination 
+				# v is not colored 
+				if self.graph[u][v] == 1 and colorArr[v] == -1: 
+
+					# Assign alternate color to this 
+					# adjacent v of u 
+					colorArr[v] = 1 - colorArr[u] 
+					queue.append(v) 
+
+				# An edge from u to v exists and destination 
+				# v is colored with same color as u 
+				elif self.graph[u][v] == 1 and colorArr[v] == colorArr[u]: 
+					return False
+
+		# If we reach here, then all adjacent 
+		# vertices can be colored with alternate 
+		# color 
+		return True
+
+# Driver program
+g = Graph(4) 
+g.graph = [[0, 1, 0, 1], 
+			[1, 0, 1, 0], 
+			[0, 1, 0, 1], 
+			[1, 0, 1, 0] 
+			] 
+			
+print "Yes" if g.isBipartite(0) else "No"
+
diff --git a/Graph Algorithms/maximum_network_flow.py b/Graph Algorithms/maximum_network_flow.py
new file mode 100644
index 00000000..b70135fa
--- /dev/null
+++ b/Graph Algorithms/maximum_network_flow.py	
@@ -0,0 +1,92 @@
+# Python program for implementation of Ford Fulkerson algorithm 
+
+#from collections import defaultdict 
+
+#This class represents a directed graph using adjacency matrix representation 
+class Graph: 
+	def __init__(self,graph): 
+		self.graph = graph # residual graph 
+		self. ROW = len(graph) 
+		#self.COL = len(gr[0]) 
+		
+
+	'''Returns true if there is a path from source 's' to sink 't' in 
+	residual graph. Also fills parent[] to store the path '''
+	def BFS(self,s, t, parent): 
+
+		# Mark all the vertices as not visited 
+		visited =[False]*(self.ROW) 
+		
+		# Create a queue for BFS 
+		queue=[] 
+		
+		# Mark the source node as visited and enqueue it 
+		queue.append(s) 
+		visited[s] = True
+		
+		# Standard BFS Loop 
+		while queue: 
+
+			#Dequeue a vertex from queue and print it 
+			u = queue.pop(0) 
+		
+			# Get all adjacent vertices of the dequeued vertex u 
+			# If a adjacent has not been visited, then mark it 
+			# visited and enqueue it 
+			for ind, val in enumerate(self.graph[u]): 
+				if visited[ind] == False and val > 0 : 
+					queue.append(ind) 
+					visited[ind] = True
+					parent[ind] = u 
+
+		# If we reached sink in BFS starting from source, then return 
+		# true, else false 
+		return True if visited[t] else False
+			
+	
+	# Returns tne maximum flow from s to t in the given graph 
+	def FordFulkerson(self, source, sink): 
+
+		# This array is filled by BFS and to store path 
+		parent = [-1]*(self.ROW) 
+
+		max_flow = 0 # There is no flow initially 
+
+		# Augment the flow while there is path from source to sink 
+		while self.BFS(source, sink, parent) : 
+
+			# Find minimum residual capacity of the edges along the 
+			# path filled by BFS. Or we can say find the maximum flow 
+			# through the path found. 
+			path_flow = float("Inf") 
+			s = sink 
+			while(s != source): 
+				path_flow = min (path_flow, self.graph[parent[s]][s]) 
+				s = parent[s] 
+
+			# Add path flow to overall flow 
+			max_flow += path_flow 
+
+			# update residual capacities of the edges and reverse edges 
+			# along the path 
+			v = sink 
+			while(v != source): 
+				u = parent[v] 
+				self.graph[u][v] -= path_flow 
+				self.graph[v][u] += path_flow 
+				v = parent[v] 
+
+		return max_flow 
+
+
+# Create a graph given in the above diagram 
+graph=[[1000,1,0,0],
+	[0,1,1,0],
+	[0,0,0,1000],
+	[0,0,0,0]]
+g = Graph(graph) 
+
+source = 0; sink = 3
+
+print ("The maximum possible flow is %d " % g.FordFulkerson(source, sink)) 
+ 
diff --git a/Graph Algorithms/maximumbipartitematching.py b/Graph Algorithms/maximumbipartitematching.py
new file mode 100644
index 00000000..5c68a905
--- /dev/null
+++ b/Graph Algorithms/maximumbipartitematching.py	
@@ -0,0 +1,70 @@
+# Python program to find maximal Bipartite matching. 
+
+class Graph: 
+	def __init__(self,graph): 
+		
+		# residual graph 
+		self.graph = graph 
+		self.ppl = len(graph) 
+		self.jobs = len(graph[0]) 
+
+	# A DFS based recursive function 
+	# that returns true if a matching 
+	# for vertex u is possible 
+	def bpm(self, u, matchR, seen): 
+
+		# Try every job one by one 
+		for v in range(self.jobs): 
+
+			# If applicant u is interested 
+			# in job v and v is not seen 
+			if self.graph[u][v] and seen[v] == False: 
+				
+				# Mark v as visited 
+				seen[v] = True
+
+				'''If job 'v' is not assigned to 
+				an applicant OR previously assigned 
+				applicant for job v (which is matchR[v]) 
+				has an alternate job available. 
+				Since v is marked as visited in the 
+				above line, matchR[v] in the following 
+				recursive call will not get job 'v' again'''
+				if matchR[v] == -1 or self.bpm(matchR[v], 
+											matchR, seen): 
+					matchR[v] = u 
+					return True
+		return False
+
+	# Returns maximum number of matching 
+	def maxBPM(self): 
+		'''An array to keep track of the 
+		applicants assigned to jobs. 
+		The value of matchR[i] is the 
+		applicant number assigned to job i, 
+		the value -1 indicates nobody is assigned.'''
+		matchR = [-1] * self.jobs 
+		
+		# Count of jobs assigned to applicants 
+		result = 0
+		for i in range(self.ppl): 
+			
+			# Mark all jobs as not seen for next applicant. 
+			seen = [False] * self.jobs 
+			
+			# Find if the applicant 'u' can get a job 
+			if self.bpm(i, matchR, seen): 
+				result += 1
+		return result 
+
+
+sm =[[0, 1, 1, 0, 0, 0], 
+		[1, 0, 0, 1, 0, 0], 
+		[0, 0, 1, 0, 0, 0], 
+		[0, 0, 1, 1, 0, 0], 
+		[0, 0, 0, 0, 0, 0], 
+		[0, 0, 0, 0, 0, 1]] 
+
+sm1 = Graph(sm) 
+
+print ("Maximum number of applicants that can get job is %d " %sm1.maxBPM()) 
diff --git a/Graph Traversal/dfs.py b/Graph Traversal/dfs.py
new file mode 100644
index 00000000..2af88ccb
--- /dev/null
+++ b/Graph Traversal/dfs.py	
@@ -0,0 +1,10 @@
+def dfs(graph, root, visited = []): 
+    res = [root]
+    visited.append(root)
+    for neighbour in graph[root]: 
+        if neighbour not in visited: 
+            res.extend(dfs(graph, neighbour, visited))
+    return res
+if __name__ == '__main__':
+    graph = {0: [1,3], 1: [3], 2: [3], 3: [2,4], 4:[]} 
+    print dfs(graph, 0)
diff --git a/Graphs/jhonsonshortestpathalgo.py b/Graphs/jhonsonshortestpathalgo.py
new file mode 100644
index 00000000..6727a380
--- /dev/null
+++ b/Graphs/jhonsonshortestpathalgo.py
@@ -0,0 +1,112 @@
+
+from collections import defaultdict 
+MAX_INT = float('Inf') 
+
+# Returns the vertex with minimum  distance from the source 
+def minDistance(dist, visited): 
+
+	(minimum, minVertex) = (MAX_INT, 0) 
+	for vertex in range(len(dist)): 
+		if minimum > dist[vertex] and visited[vertex] == False: 
+			(minimum, minVertex) = (dist[vertex], vertex) 
+
+	return minVertex 
+
+
+# Dijkstra Algorithm for Modified graphs 
+def Dijkstra(graph, modifiedGraph, src): 
+
+	# Number of vertices in the graph 
+	num_vertices = len(graph) 
+
+	# Dictionary to check if given vertex is 
+	# already included in the shortest path tree 
+	sptSet = defaultdict(lambda : False) 
+
+	# Shortest distance of all vertices from the source 
+	dist = [MAX_INT] * num_vertices 
+
+	dist[src] = 0
+
+	for count in range(num_vertices): 
+
+		# The current vertex which is at min Distance 
+		# from the source and not yet included in the 
+		# shortest path tree 
+		curVertex = minDistance(dist, sptSet) 
+		sptSet[curVertex] = True
+
+		for vertex in range(num_vertices): 
+			if ((sptSet[vertex] == False) and
+				(dist[vertex] > (dist[curVertex] +
+				modifiedGraph[curVertex][vertex])) and
+				(graph[curVertex][vertex] != 0)): 
+				
+				dist[vertex] = (dist[curVertex] +
+								modifiedGraph[curVertex][vertex]); 
+
+	# Print the Shortest distance from the source 
+	for vertex in range(num_vertices): 
+		print ('Vertex ' + str(vertex) + ': ' + str(dist[vertex])) 
+
+# Function to calculate shortest distances from source to all other vertices using Bellman-Ford algorithm 
+def BellmanFord(edges, graph, num_vertices): 
+
+	# Add a source s and calculate its min 
+	# distance from every other node 
+	dist = [MAX_INT] * (num_vertices + 1) 
+	dist[num_vertices] = 0
+
+	for i in range(num_vertices): 
+		edges.append([num_vertices, i, 0]) 
+
+	for i in range(num_vertices): 
+		for (src, des, weight) in edges: 
+			if((dist[src] != MAX_INT) and
+					(dist[src] + weight < dist[des])): 
+				dist[des] = dist[src] + weight 
+
+	# Don't send the value for the source added 
+	return dist[0:num_vertices] 
+
+# Function to implement Johnson Algorithm 
+def JohnsonAlgorithm(graph): 
+
+	edges = [] 
+
+	# Create a list of edges for Bellman-Ford Algorithm 
+	for i in range(len(graph)): 
+		for j in range(len(graph[i])): 
+
+			if graph[i][j] != 0: 
+				edges.append([i, j, graph[i][j]]) 
+
+	# Weights used to modify the original weights 
+	modifyWeights = BellmanFord(edges, graph, len(graph)) 
+
+	modifiedGraph = [[0 for x in range(len(graph))] for y in
+					range(len(graph))] 
+
+	# Modify the weights to get rid of negative weights 
+	for i in range(len(graph)): 
+		for j in range(len(graph[i])): 
+
+			if graph[i][j] != 0: 
+				modifiedGraph[i][j] = (graph[i][j] +
+						modifyWeights[i] - modifyWeights[j]); 
+
+	print ('Modified Graph: ' + str(modifiedGraph)) 
+
+	# Run Dijkstra for every vertex as source one by one 
+	for src in range(len(graph)): 
+		print ('\nShortest Distance with vertex ' +
+						str(src) + ' as the source:\n') 
+		Dijkstra(graph, modifiedGraph, src) 
+
+# Driver Code 
+graph = [[0, -5, 2, 3], 
+		[0, 0, 4, 0], 
+		[0, 0, 0, 1], 
+		[0, 0, 0, 0]] 
+
+JohnsonAlgorithm(graph) 
diff --git a/Graphs/minimum_cut.cpp b/Graphs/minimum_cut.cpp
new file mode 100644
index 00000000..e4ac2af4
--- /dev/null
+++ b/Graphs/minimum_cut.cpp
@@ -0,0 +1,136 @@
+#include <iostream>
+#include <list>
+
+using namespace std;
+
+
+class Graph{
+
+private:
+	int num_vertices;
+    list<int> *adj;
+public:
+	Graph(int V);
+	bool is_Elulerian();
+	void DFS(int g,bool visited[]);
+	bool connected();
+	void add_edge(int x,int w);
+	
+
+
+
+  friend int minimum_cut(Graph g);
+
+};
+
+Graph::Graph(int V){
+
+    this->num_vertices=V;
+    this->adj=new list<int>[V];
+}
+void Graph::DFS(int g,bool visited[]){
+
+       visited[g]=true;
+
+       list<int>::iterator i;
+       for (i=adj[g].begin();i!=adj[g].end();i++){
+       	     if ( visited[*i] != true){
+       	     	   DFS(*i,visited);
+       	     }
+       }
+
+}
+bool Graph::connected(){
+
+    bool visited[num_vertices];
+    for (int i=0;i<num_vertices;i++){
+    	visited[i]=false;
+    }
+    int k=0;
+    for (k=0;k<num_vertices;k++){
+    	if (adj[k].size()!=0){
+    		break;
+    	}
+    }
+    DFS(k,visited);
+     for (k=0;k<num_vertices;k++){
+    	if (adj[k].size()!=0){
+    		if (!visited[k]){
+    			return false;
+    		}
+    	}
+    }
+    return true;
+    
+
+}
+bool Graph::is_Elulerian(){
+
+
+    if (!connected()){
+    	return false;
+    } 
+     int odd=0;
+     for(int i=0;i<num_vertices;i++){
+     	if(adj[i].size() & 1){
+     		odd++;
+     	}
+     }
+     if (odd>2){
+
+     	return false;
+     }
+     return true;
+
+
+
+}
+
+void Graph::add_edge(int x,int w){
+
+   adj[x].push_back(w);
+   adj[w].push_back(x);
+
+}
+
+int minimum_cut(Graph g){
+
+list<int> j=g.adj[0];
+j.unique();
+int i=0;
+list<int>::iterator km=g.adj[0].begin();
+while(j.size()!=1){
+    for ( list<int>::iterator l=g.adj[0].begin();l!=g.adj[0].end();l++){
+             cout<<*l<<" ";
+    }
+
+
+    int k=*(km++);
+    list<int>::iterator kl;
+    for(kl=g.adj[k].begin();kl!=g.adj[k].end();kl++){
+      g.adj[0].push_back(*kl);
+    }
+    g.adj[0].remove(k);
+    g.adj[0].remove(0);
+    j=g.adj[0];
+    j.unique();
+    i++;
+
+}
+
+return g.adj[0].size();
+
+}
+
+int main(){
+
+// checking 
+Graph g(3);
+g.add_edge(0,1);
+g.add_edge(0,2);
+g.add_edge(1,2);
+//minimum_cut function
+cout<<minimum_cut(g);
+
+
+}
diff --git a/Greedy Algorithms/Dijkstras/Java/DroneRouter.java b/Greedy Algorithms/Dijkstras/Java/DroneRouter.java
index d0898c4c..263f1b1e 100644
--- a/Greedy Algorithms/Dijkstras/Java/DroneRouter.java	
+++ b/Greedy Algorithms/Dijkstras/Java/DroneRouter.java	
@@ -1,295 +1,295 @@
-/*
- * @author Samy Rezzag
- */
-package package;
-
-import java.io.BufferedReader;
-import java.io.File;
-import java.io.FileNotFoundException;
-import java.io.FileReader;
-import java.io.IOException;
-import java.util.ArrayList;
-import java.util.HashMap;
-import java.util.Map;
-import java.util.NavigableSet;
-import java.util.Scanner;
-import java.util.TreeSet;
-
-import package.Router;
-
-/*
- * This DroneRouter class implements the Router interface. This class is 
- * responsible for interfacing between user command input and with the Dijsktra 
- * Algorithm. This class has inner classes of Graph, Edge, and Vertex.
- */
-public class DroneRouter implements Router {
-
-	// Saves the Drone starting point.
-	private String startingPoint;
-	// Graph array which holds all the paths/edges
-	private Graph.Edge[] GRAPH = null;
-
-	// Constructor for DroneRouter
-	public DroneRouter() {
-	}
-
-	/*
-	 * Finds absolute file path, use buffered reader to count lines to instantiate
-	 * the Graph.Edge GRAPH array's length.
-	 * 
-	 * Uses scanner to scan each line and create a edges into Graph.Edge GRAPH
-	 * 
-	 * @param routesFilePath path to routing file
-	 * 
-	 * @param startingPoint the initial starting point of the drone
-	 */
-	@Override
-	public void loadRoutes(String routesFilePath, String startingPoint) {
-		this.startingPoint = startingPoint;
-		String sentence = "";
-		File file = new File(routesFilePath).getAbsoluteFile();
-
-		BufferedReader reader = null;
-		try {
-			reader = new BufferedReader(new FileReader(file));
-			int lines = 0;
-			while (reader.readLine() != null)
-				lines++;
-			reader.close();
-			GRAPH = new Graph.Edge[lines];
-		} catch (IOException e1) {
-			throw new IllegalArgumentException("Illegal Argument Exception, File Not Found: " + routesFilePath);
-		}
-
-		try {
-			int counter = 0;
-			Scanner input = new Scanner(file);
-			while (input.hasNextLine()) {
-				sentence = input.nextLine();
-				String[] values = sentence.split("\\s+");
-				GRAPH[counter] = new Graph.Edge(values[0], values[1], Integer.parseInt(values[2]));
-				counter++;
-			}
-			input.close();
-
-		} catch (FileNotFoundException e) {
-			e.printStackTrace();
-		}
-	}
-
-	/*
-	 * Finds route. Creates an instance of Graph with the provided Graph.Edge GRAPH
-	 * made by routing file. Runes the dijkstra algorithm in respect to the starting
-	 * point given iniitally.
-	 * 
-	 * @param destination to find path to.
-	 */
-	@Override
-	public String[] getRoute(String destination) {
-		Graph g = new Graph(GRAPH);
-		g.dijkstra(startingPoint);
-
-		return g.printPath(destination);
-	}
-
-	/*
-	 * Finds cost. Creates an instance of Graph with the provided Graph.Edge GRAPH
-	 * made by routing file. Runes the dijkstra algorithm in respect to the starting
-	 * point given iniitally.
-	 * 
-	 * @param destination to find path to.
-	 */
-	@Override
-	public int getPathCost(String destination) {
-		Graph g = new Graph(GRAPH);
-		g.dijkstra(startingPoint);
-
-		return g.printCost(destination);
-	}
-}
-
-class Graph {
-	// mapping of vertex names to Vertex objects, built from a set of Edges
-	private final Map<String, Vertex> graph;
-	private static ArrayList<String> temp = new ArrayList<String>();
-	private static int cost = 0;
-
-	/**
-	 * One edge of the graph (only used by Graph constructor)
-	 */
-	public static class Edge {
-		public final String source, destination;
-		public final int weight;
-
-		public Edge(String source, String destination, int weight) {
-			this.source = source;
-			this.destination = destination;
-			this.weight = weight;
-		}
-	}
-
-	/**
-	 * One vertex of the graph, with mappings of neighboring vertexes
-	 */
-	public static class Vertex implements Comparable<Vertex> {
-		public final String name;
-		// MAX_VALUE assumed to be infinity
-		public int weight = Integer.MAX_VALUE;
-		public Vertex previous = null;
-		public final Map<Vertex, Integer> neighbours = new HashMap<>();
-
-		public Vertex(String name) {
-			this.name = name;
-		}
-
-		/*
-		 * Will traverse and calculate which paths are taken to get from source to
-		 * destination. Will add the node/edge to a temp arraylist. Arraylist is
-		 * converted to array and returned.
-		 * 
-		 * Will return an empty array if null edge.
-		 */
-		private String[] printPath() {
-
-			if (this == this.previous) {
-				temp.add(this.name);
-			} else if (this.previous == null) {
-				String[] emptyArray = new String[0];
-				return emptyArray;
-			} else {
-				this.previous.printPath();
-				temp.add(this.name);
-			}
-			String[] path = new String[temp.size()];
-			path = temp.toArray(path);
-			return path;
-		}
-
-		/*
-		 * Will traverse and calculate which costs are taken to get from source to
-		 * destination. Will add the node/edge to a running tally.
-		 * 
-		 * Will return -1 if null.
-		 */
-		private int printCost() {
-			if (this == this.previous) {
-				cost += this.weight;
-			} else if (this.previous == null) {
-				return Router.NO_ROUTE;
-			} else {
-				this.previous.printPath();
-				cost += this.weight;
-			}
-			return cost;
-		}
-
-		public int compareTo(Vertex other) {
-			if (weight == other.weight)
-				return name.compareTo(other.name);
-
-			return Integer.compare(weight, other.weight);
-		}
-	}
-
-	/**
-	 * Builds a graph from a set of edges
-	 */
-	public Graph(Edge[] edges) {
-		graph = new HashMap<>(edges.length);
-
-		// one pass to find all vertices
-		for (Edge e : edges) {
-			if (!graph.containsKey(e.source))
-				graph.put(e.source, new Vertex(e.source));
-			if (!graph.containsKey(e.destination))
-				graph.put(e.destination, new Vertex(e.destination));
-		}
-
-		// another pass to set neighbouring vertices
-		for (Edge e : edges) {
-			graph.get(e.source).neighbours.put(graph.get(e.destination), e.weight);
-			// graph.get(e.destination).neighbours.put(graph.get(e.source), e.weight); //
-			// also do this for
-			// an undirected graph
-		}
-	}
-
-	/**
-	 * Runs dijkstras algorithm with the startPoint specified earlier.
-	 * 
-	 * @param startingPoint the vertex to start on.
-	 */
-	public void dijkstra(String startingPoint) {
-		if (!graph.containsKey(startingPoint)) {
-			throw new IllegalArgumentException("Illegal Argument Exception on value: " + startingPoint);
-		}
-		final Vertex source = graph.get(startingPoint);
-		NavigableSet<Vertex> q = new TreeSet<>();
-
-		// set-up vertices
-		for (Vertex v : graph.values()) {
-			v.previous = v == source ? source : null;
-			v.weight = v == source ? 0 : Integer.MAX_VALUE;
-			q.add(v);
-		}
-		dijkstra(q);
-	}
-
-	/**
-	 * Implementation of dijkstra's algorithm using a binary heap.
-	 */
-	private void dijkstra(final NavigableSet<Vertex> q) {
-		Vertex u, v;
-		while (!q.isEmpty()) {
-			// vertex with shortest weightance (first iteration will return source)
-			u = q.pollFirst();
-			if (u.weight == Integer.MAX_VALUE)
-				break; // we can ignore u (and any other remaining vertices) since they are unreachable
-
-			// look at weightances to each neighbour
-			for (Map.Entry<Vertex, Integer> a : u.neighbours.entrySet()) {
-				v = a.getKey(); // the neighbour in this iteration
-
-				final int alternateDist = u.weight + a.getValue();
-				if (alternateDist < v.weight) { // shorter path to neighbour found
-					q.remove(v);
-					v.weight = alternateDist;
-					v.previous = u;
-					q.add(v);
-				}
-			}
-		}
-	}
-
-	/**
-	 * Helper method to get the path of the vertices taken from stratingPoint to
-	 * destination
-	 * 
-	 * @param destination
-	 * @return array
-	 */
-	public String[] printPath(String destination) {
-		if (!graph.containsKey(destination)) {
-			throw new IllegalArgumentException("Invalid Destination, " + destination);
-		} else {
-			Graph.temp = new ArrayList<String>();
-			return graph.get(destination).printPath();
-		}
-	}
-
-	/**
-	 * Helper method to get the cost of the vertices taken from stratingPoint to
-	 * destination
-	 * 
-	 * @param destination
-	 * @return cost
-	 */
-	public int printCost(String destination) {
-		if (!graph.containsKey(destination)) {
-			throw new IllegalArgumentException("Invalid Destination, " + destination);
-		} else {
-			Graph.cost = 0;
-			return graph.get(destination).printCost();
-		}
-	}
-}
+/*
+ * @author Samy Rezzag
+ */
+package package;
+
+import java.io.BufferedReader;
+import java.io.File;
+import java.io.FileNotFoundException;
+import java.io.FileReader;
+import java.io.IOException;
+import java.util.ArrayList;
+import java.util.HashMap;
+import java.util.Map;
+import java.util.NavigableSet;
+import java.util.Scanner;
+import java.util.TreeSet;
+
+import package.Router;
+
+/*
+ * This DroneRouter class implements the Router interface. This class is 
+ * responsible for interfacing between user command input and with the Dijsktra 
+ * Algorithm. This class has inner classes of Graph, Edge, and Vertex.
+ */
+public class DroneRouter implements Router {
+
+	// Saves the Drone starting point.
+	private String startingPoint;
+	// Graph array which holds all the paths/edges
+	private Graph.Edge[] GRAPH = null;
+
+	// Constructor for DroneRouter
+	public DroneRouter() {
+	}
+
+	/*
+	 * Finds absolute file path, use buffered reader to count lines to instantiate
+	 * the Graph.Edge GRAPH array's length.
+	 * 
+	 * Uses scanner to scan each line and create a edges into Graph.Edge GRAPH
+	 * 
+	 * @param routesFilePath path to routing file
+	 * 
+	 * @param startingPoint the initial starting point of the drone
+	 */
+	@Override
+	public void loadRoutes(String routesFilePath, String startingPoint) {
+		this.startingPoint = startingPoint;
+		String sentence = "";
+		File file = new File(routesFilePath).getAbsoluteFile();
+
+		BufferedReader reader = null;
+		try {
+			reader = new BufferedReader(new FileReader(file));
+			int lines = 0;
+			while (reader.readLine() != null)
+				lines++;
+			reader.close();
+			GRAPH = new Graph.Edge[lines];
+		} catch (IOException e1) {
+			throw new IllegalArgumentException("Illegal Argument Exception, File Not Found: " + routesFilePath);
+		}
+
+		try {
+			int counter = 0;
+			Scanner input = new Scanner(file);
+			while (input.hasNextLine()) {
+				sentence = input.nextLine();
+				String[] values = sentence.split("\\s+");
+				GRAPH[counter] = new Graph.Edge(values[0], values[1], Integer.parseInt(values[2]));
+				counter++;
+			}
+			input.close();
+
+		} catch (FileNotFoundException e) {
+			e.printStackTrace();
+		}
+	}
+
+	/*
+	 * Finds route. Creates an instance of Graph with the provided Graph.Edge GRAPH
+	 * made by routing file. Runes the dijkstra algorithm in respect to the starting
+	 * point given iniitally.
+	 * 
+	 * @param destination to find path to.
+	 */
+	@Override
+	public String[] getRoute(String destination) {
+		Graph g = new Graph(GRAPH);
+		g.dijkstra(startingPoint);
+
+		return g.printPath(destination);
+	}
+
+	/*
+	 * Finds cost. Creates an instance of Graph with the provided Graph.Edge GRAPH
+	 * made by routing file. Runes the dijkstra algorithm in respect to the starting
+	 * point given iniitally.
+	 * 
+	 * @param destination to find path to.
+	 */
+	@Override
+	public int getPathCost(String destination) {
+		Graph g = new Graph(GRAPH);
+		g.dijkstra(startingPoint);
+
+		return g.printCost(destination);
+	}
+}
+
+class Graph {
+	// mapping of vertex names to Vertex objects, built from a set of Edges
+	private final Map<String, Vertex> graph;
+	private static ArrayList<String> temp = new ArrayList<String>();
+	private static int cost = 0;
+
+	/**
+	 * One edge of the graph (only used by Graph constructor)
+	 */
+	public static class Edge {
+		public final String source, destination;
+		public final int weight;
+
+		public Edge(String source, String destination, int weight) {
+			this.source = source;
+			this.destination = destination;
+			this.weight = weight;
+		}
+	}
+
+	/**
+	 * One vertex of the graph, with mappings of neighboring vertexes
+	 */
+	public static class Vertex implements Comparable<Vertex> {
+		public final String name;
+		// MAX_VALUE assumed to be infinity
+		public int weight = Integer.MAX_VALUE;
+		public Vertex previous = null;
+		public final Map<Vertex, Integer> neighbours = new HashMap<>();
+
+		public Vertex(String name) {
+			this.name = name;
+		}
+
+		/*
+		 * Will traverse and calculate which paths are taken to get from source to
+		 * destination. Will add the node/edge to a temp arraylist. Arraylist is
+		 * converted to array and returned.
+		 * 
+		 * Will return an empty array if null edge.
+		 */
+		private String[] printPath() {
+
+			if (this == this.previous) {
+				temp.add(this.name);
+			} else if (this.previous == null) {
+				String[] emptyArray = new String[0];
+				return emptyArray;
+			} else {
+				this.previous.printPath();
+				temp.add(this.name);
+			}
+			String[] path = new String[temp.size()];
+			path = temp.toArray(path);
+			return path;
+		}
+
+		/*
+		 * Will traverse and calculate which costs are taken to get from source to
+		 * destination. Will add the node/edge to a running tally.
+		 * 
+		 * Will return -1 if null.
+		 */
+		private int printCost() {
+			if (this == this.previous) {
+				cost += this.weight;
+			} else if (this.previous == null) {
+				return Router.NO_ROUTE;
+			} else {
+				this.previous.printPath();
+				cost += this.weight;
+			}
+			return cost;
+		}
+
+		public int compareTo(Vertex other) {
+			if (weight == other.weight)
+				return name.compareTo(other.name);
+
+			return Integer.compare(weight, other.weight);
+		}
+	}
+
+	/**
+	 * Builds a graph from a set of edges
+	 */
+	public Graph(Edge[] edges) {
+		graph = new HashMap<>(edges.length);
+
+		// one pass to find all vertices
+		for (Edge e : edges) {
+			if (!graph.containsKey(e.source))
+				graph.put(e.source, new Vertex(e.source));
+			if (!graph.containsKey(e.destination))
+				graph.put(e.destination, new Vertex(e.destination));
+		}
+
+		// another pass to set neighbouring vertices
+		for (Edge e : edges) {
+			graph.get(e.source).neighbours.put(graph.get(e.destination), e.weight);
+			// graph.get(e.destination).neighbours.put(graph.get(e.source), e.weight); //
+			// also do this for
+			// an undirected graph
+		}
+	}
+
+	/**
+	 * Runs dijkstras algorithm with the startPoint specified earlier.
+	 * 
+	 * @param startingPoint the vertex to start on.
+	 */
+	public void dijkstra(String startingPoint) {
+		if (!graph.containsKey(startingPoint)) {
+			throw new IllegalArgumentException("Illegal Argument Exception on value: " + startingPoint);
+		}
+		final Vertex source = graph.get(startingPoint);
+		NavigableSet<Vertex> q = new TreeSet<>();
+
+		// set-up vertices
+		for (Vertex v : graph.values()) {
+			v.previous = v == source ? source : null;
+			v.weight = v == source ? 0 : Integer.MAX_VALUE;
+			q.add(v);
+		}
+		dijkstra(q);
+	}
+
+	/**
+	 * Implementation of dijkstra's algorithm using a binary heap.
+	 */
+	private void dijkstra(final NavigableSet<Vertex> q) {
+		Vertex u, v;
+		while (!q.isEmpty()) {
+			// vertex with shortest weightance (first iteration will return source)
+			u = q.pollFirst();
+			if (u.weight == Integer.MAX_VALUE)
+				break; // we can ignore u (and any other remaining vertices) since they are unreachable
+
+			// look at weightances to each neighbour
+			for (Map.Entry<Vertex, Integer> a : u.neighbours.entrySet()) {
+				v = a.getKey(); // the neighbour in this iteration
+
+				final int alternateDist = u.weight + a.getValue();
+				if (alternateDist < v.weight) { // shorter path to neighbour found
+					q.remove(v);
+					v.weight = alternateDist;
+					v.previous = u;
+					q.add(v);
+				}
+			}
+		}
+	}
+
+	/**
+	 * Helper method to get the path of the vertices taken from stratingPoint to
+	 * destination
+	 * 
+	 * @param destination
+	 * @return array
+	 */
+	public String[] printPath(String destination) {
+		if (!graph.containsKey(destination)) {
+			throw new IllegalArgumentException("Invalid Destination, " + destination);
+		} else {
+			Graph.temp = new ArrayList<String>();
+			return graph.get(destination).printPath();
+		}
+	}
+
+	/**
+	 * Helper method to get the cost of the vertices taken from stratingPoint to
+	 * destination
+	 * 
+	 * @param destination
+	 * @return cost
+	 */
+	public int printCost(String destination) {
+		if (!graph.containsKey(destination)) {
+			throw new IllegalArgumentException("Invalid Destination, " + destination);
+		} else {
+			Graph.cost = 0;
+			return graph.get(destination).printCost();
+		}
+	}
+}
diff --git a/Greedy Algorithms/Dijkstras/Java/DroneRouterTest.java b/Greedy Algorithms/Dijkstras/Java/DroneRouterTest.java
index fe96e4bb..ff3ce228 100644
--- a/Greedy Algorithms/Dijkstras/Java/DroneRouterTest.java	
+++ b/Greedy Algorithms/Dijkstras/Java/DroneRouterTest.java	
@@ -1,32 +1,32 @@
-import static org.junit.jupiter.api.Assertions.assertArrayEquals;
-import static org.junit.jupiter.api.Assertions.assertEquals;
-import static org.junit.jupiter.api.Assertions.assertThrows;
-
-import org.junit.jupiter.api.Test;
-
-import DroneRouter;
-
-class DroneRouterTest {
-
-	@Test
-	void test() {
-		Router router = new DroneRouter();
-		router.loadRoutes("routes0.txt", "A");
-		assertArrayEquals(new String[] { "A", "B", "G" }, router.getRoute("G"));
-		assertEquals(17, router.getPathCost("G"));
-		assertThrows(IllegalArgumentException.class, () -> router.getRoute("Z"));
-		assertArrayEquals(new String[] {}, router.getRoute("M"));
-		assertEquals(Router.NO_ROUTE, router.getPathCost("M"));
-	}
-
-	@Test
-	void test2() {
-		Router router = new DroneRouter();
-		router.loadRoutes("routes1.txt", "CHI");
-		assertArrayEquals(new String[] { "CHI", "MSP", "DEN", "LAS" }, router.getRoute("LAS"));
-		assertEquals(2600, router.getPathCost("DEN"));
-		assertThrows(IllegalArgumentException.class, () -> router.getRoute("Z"));
-		assertArrayEquals(new String[] {}, router.getRoute("STP"));
-		assertEquals(Router.NO_ROUTE, router.getPathCost("STP"));
-	}
-}
+import static org.junit.jupiter.api.Assertions.assertArrayEquals;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+
+import org.junit.jupiter.api.Test;
+
+import DroneRouter;
+
+class DroneRouterTest {
+
+	@Test
+	void test() {
+		Router router = new DroneRouter();
+		router.loadRoutes("routes0.txt", "A");
+		assertArrayEquals(new String[] { "A", "B", "G" }, router.getRoute("G"));
+		assertEquals(17, router.getPathCost("G"));
+		assertThrows(IllegalArgumentException.class, () -> router.getRoute("Z"));
+		assertArrayEquals(new String[] {}, router.getRoute("M"));
+		assertEquals(Router.NO_ROUTE, router.getPathCost("M"));
+	}
+
+	@Test
+	void test2() {
+		Router router = new DroneRouter();
+		router.loadRoutes("routes1.txt", "CHI");
+		assertArrayEquals(new String[] { "CHI", "MSP", "DEN", "LAS" }, router.getRoute("LAS"));
+		assertEquals(2600, router.getPathCost("DEN"));
+		assertThrows(IllegalArgumentException.class, () -> router.getRoute("Z"));
+		assertArrayEquals(new String[] {}, router.getRoute("STP"));
+		assertEquals(Router.NO_ROUTE, router.getPathCost("STP"));
+	}
+}
diff --git a/Greedy Algorithms/Dijkstras/Java/Router.java b/Greedy Algorithms/Dijkstras/Java/Router.java
index 981bb097..a63ec6e2 100644
--- a/Greedy Algorithms/Dijkstras/Java/Router.java	
+++ b/Greedy Algorithms/Dijkstras/Java/Router.java	
@@ -1,51 +1,51 @@
-/**
- * @author Ralph A Foy
- *
- */
-public interface Router {
-
-	/**
-	 * Value indicating there is no path from the source to the specified
-	 * destination
-	 */
-	int NO_ROUTE = -1;
-
-	/**
-	 * Loads the file containing waypoints pairs and the cost to travel between
-	 * them.
-	 * 
-	 * @param routesFilePath path to the routes file
-	 * @param source         the waypoint that is the source location, that is, the
-	 *                       starting point of all routs
-	 * @throws IllegalArgumentException if the file is not accessible or the source
-	 *                                  location does not exist
-	 */
-	void loadRoutes(String routesFilePath, String source);
-
-	/**
-	 * Returns the route from the designated source waypoint to the specified
-	 * destination
-	 * 
-	 * @param destination endpoint of route
-	 * @return array of waypoints representing the least expensive route from the
-	 *         source to the destination (inclusive). The array is empty if no path
-	 *         exists.
-	 * @throws IllegalArgumentException if destination does not exist in the route
-	 *                                  file
-	 */
-	String[] getRoute(String destination);
-
-	/**
-	 * Returns the cost of the shortest route from the designated source waypoint to
-	 * the specified destination
-	 * 
-	 * @param destination endpoint of route from the source waypoint
-	 * @return the cost in units, or {@link NO_ROUTE} if no route exists from the
-	 *         source to the specified destination
-	 * @throws IllegalArgumentException if destination does not exist in the route
-	 *                                  file
-	 * @throws NullPointerException     if destination is {@code null}
-	 */
-	int getPathCost(String destination);
-
-}
+/**
+ * @author Ralph A Foy
+ *
+ */
+public interface Router {
+
+	/**
+	 * Value indicating there is no path from the source to the specified
+	 * destination
+	 */
+	int NO_ROUTE = -1;
+
+	/**
+	 * Loads the file containing waypoints pairs and the cost to travel between
+	 * them.
+	 * 
+	 * @param routesFilePath path to the routes file
+	 * @param source         the waypoint that is the source location, that is, the
+	 *                       starting point of all routs
+	 * @throws IllegalArgumentException if the file is not accessible or the source
+	 *                                  location does not exist
+	 */
+	void loadRoutes(String routesFilePath, String source);
+
+	/**
+	 * Returns the route from the designated source waypoint to the specified
+	 * destination
+	 * 
+	 * @param destination endpoint of route
+	 * @return array of waypoints representing the least expensive route from the
+	 *         source to the destination (inclusive). The array is empty if no path
+	 *         exists.
+	 * @throws IllegalArgumentException if destination does not exist in the route
+	 *                                  file
+	 */
+	String[] getRoute(String destination);
+
+	/**
+	 * Returns the cost of the shortest route from the designated source waypoint to
+	 * the specified destination
+	 * 
+	 * @param destination endpoint of route from the source waypoint
+	 * @return the cost in units, or {@link NO_ROUTE} if no route exists from the
+	 *         source to the specified destination
+	 * @throws IllegalArgumentException if destination does not exist in the route
+	 *                                  file
+	 * @throws NullPointerException     if destination is {@code null}
+	 */
+	int getPathCost(String destination);
+
+}
diff --git a/Greedy Algorithms/Dijkstras/Java/routes0.txt b/Greedy Algorithms/Dijkstras/Java/routes0.txt
index cf72483c..f11fcf28 100644
--- a/Greedy Algorithms/Dijkstras/Java/routes0.txt	
+++ b/Greedy Algorithms/Dijkstras/Java/routes0.txt	
@@ -1,11 +1,11 @@
-A B 5
-B C 10
-B G 12
-G C 5
-C D 15
-C E 2
-D F 4
-G E 2
-E F 2
-A E 3
+A B 5
+B C 10
+B G 12
+G C 5
+C D 15
+C E 2
+D F 4
+G E 2
+E F 2
+A E 3
 L M 10
\ No newline at end of file
diff --git a/Greedy Algorithms/Huffman Coding/C++/huffman_coding.cpp b/Greedy Algorithms/Huffman Coding/C++/huffman_coding.cpp
new file mode 100644
index 00000000..ce0f0d51
--- /dev/null
+++ b/Greedy Algorithms/Huffman Coding/C++/huffman_coding.cpp	
@@ -0,0 +1,110 @@
+// C++ program for Huffman Coding 
+#include <bits/stdc++.h> 
+using namespace std; 
+
+// A Huffman tree node 
+struct min_heap_node { 
+
+	// One of the input characters 
+	char data; 
+
+	// Frequency of the character 
+	unsigned freq; 
+
+	// Left and right child 
+	min_heap_node *left, *right; 
+
+	min_heap_node(char data, unsigned freq) 
+
+	{ 
+
+		left = right = NULL; 
+		this->data = data; 
+		this->freq = freq; 
+	} 
+}; 
+
+// For comparison of 
+// two heap nodes (needed in min heap) 
+struct compare { 
+
+	bool operator()(min_heap_node* l, min_heap_node* r) 
+
+	{ 
+		return (l->freq > r->freq); 
+	} 
+}; 
+
+// Prints huffman codes from 
+// the root of Huffman Tree. 
+void print_codes(struct min_heap_node* root, string str) 
+{ 
+
+	if (!root) 
+		return; 
+
+	if (root->data != '$') 
+		cout << root->data << ": " << str << "\n"; 
+
+	print_codes(root->left, str + "0"); 
+	print_codes(root->right, str + "1"); 
+} 
+
+// The main function that builds a Huffman Tree and 
+// print codes by traversing the built Huffman Tree 
+void huff_code(char data[], int freq[], int size) 
+{ 
+	struct min_heap_node *left, *right, *top; 
+
+	// Create a min heap & inserts all characters of data[] 
+	priority_queue<min_heap_node*, vector<min_heap_node*>, compare> min_heap; 
+
+	for (int i = 0; i < size; ++i) 
+		min_heap.push(new min_heap_node(data[i], freq[i])); 
+
+	// Iterate while size of heap doesn't become 1 
+	while (min_heap.size() != 1) { 
+
+		// Extract the two minimum 
+		// freq items from min heap 
+		left = min_heap.top(); 
+		min_heap.pop(); 
+
+		right = min_heap.top(); 
+		min_heap.pop(); 
+
+		// Create a new internal node with 
+		// frequency equal to the sum of the 
+		// two nodes frequencies. Make the 
+		// two extracted node as left and right children 
+		// of this new node. Add this node 
+		// to the min heap '$' is a special value 
+		// for internal nodes, not used 
+		top = new min_heap_node('$', left->freq + right->freq); 
+
+		top->left = left; 
+		top->right = right; 
+
+		min_heap.push(top); 
+	} 
+
+	// Print Huffman codes using 
+	// the Huffman tree built above 
+	print_codes(min_heap.top(), ""); 
+} 
+
+// Driver program to test above functions 
+int main() 
+{ 
+
+	char arr[] = { 'a', 'b', 'c', 'd', 'e', 'f' }; 
+	int freq[] = { 5, 9, 12, 13, 16, 45 }; 
+
+	int size = sizeof(arr) / sizeof(arr[0]); 
+
+	huff_code(arr, freq, size); 
+
+	return 0; 
+} 
+
+// This code is contributed by Aditya Goel 
diff --git a/Greedy Algorithms/Huffman_Encoding/huffman_encoding.c++ b/Greedy Algorithms/Huffman_Encoding/huffman_encoding.c++
new file mode 100644
index 00000000..4b9daa40
--- /dev/null
+++ b/Greedy Algorithms/Huffman_Encoding/huffman_encoding.c++	
@@ -0,0 +1,83 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+//leaf node contains character(data), intermediate nodes contains frequency
+struct node
+{
+    struct node *l;
+    struct node *r;
+    char data; 
+    int freq;
+};
+
+struct compare{
+    bool operator()(struct node *n1,struct node *n2)
+    {
+         return n1->freq>n2->freq;
+    }
+};
+
+void traverse(node *root,string str)
+{
+    if(!root)
+    return ;
+ 
+    if(root->data!='#'){
+     cout<<str<<" ";
+     return;}    
+
+    //append 0 if traverse to left branch of the node otherwise append 1 
+    
+    // if(root->l)
+    traverse(root->l,str+"0");
+    //if(root->r)
+    traverse(root->r,str+"1");
+}
+int main() {
+	//code
+	
+	int t; //for number of test cases
+	cin>>t;
+	while(t--)
+	{
+	    string s;
+	    cin>>s;
+	    priority_queue<node*,vector<node*>,compare> pq;//minheap;
+	    
+	    
+	    int x;
+	    for(int i=0;i<s.length();i++)
+	    {
+	        struct node *nn=(struct node *)malloc(sizeof(struct node));
+	        cin>>x;
+	        nn->freq=x;
+	        nn->data=s[i];
+	        nn->l=nn->r=NULL;
+	        pq.push(nn);
+	    }
+	    
+	   while(pq.size()!=1)
+	    {
+	        struct node *left=pq.top();
+	        pq.pop();
+	        
+	        struct node *right=pq.top();
+	        pq.pop();
+	        
+            node *heapNode=(node*)malloc(sizeof(node));
+            heapNode->data='#'; //  '#'' acts as character in intermediate nodes 
+            heapNode->freq=left->freq+right->freq;
+            heapNode->l=left;
+            heapNode->r=right;
+            
+            pq.push(heapNode);
+	    }
+	    
+	    struct node *root=pq.top();
+	        string ans="";
+	        traverse(root,ans);
+	        cout<<endl;
+	        
+	}
+	return 0;
+}
\ No newline at end of file
diff --git a/Greedy Algorithms/Job Sequencing/C++/job_sequencing.cpp b/Greedy Algorithms/Job Sequencing/C++/job_sequencing.cpp
new file mode 100644
index 00000000..2474e0d9
--- /dev/null
+++ b/Greedy Algorithms/Job Sequencing/C++/job_sequencing.cpp	
@@ -0,0 +1,65 @@
+// Program to find the maximum profit job sequence from a given array of jobs with deadlines and profits 
+
+#include<iostream> 
+#include<algorithm> 
+using namespace std; 
+
+// A structure to represent a job 
+struct Job 
+{ 
+char id;	   // Job Id 
+int deadline; // Deadline of job 
+int profit;  // Profit if job is over before or on deadline 
+}; 
+
+// This function is used for sorting all jobs according to profit 
+bool compare(Job a, Job b) 
+{ 
+	return (a.profit > b.profit); 
+} 
+
+// Returns minimum number of platforms reqquired 
+void ShowJobSequence(Job arr[], int n) 
+{ 
+	// Sort all jobs according to decreasing order of prfit 
+	sort(arr, arr+n, compare); 
+
+	int result[n]; // To store result (Sequence of jobs) 
+	bool slot[n]; // To keep track of free time slots 
+
+	// Initialize all slots to be free 
+	for (int i=0; i<n; i++) 
+		slot[i] = false; 
+
+	// Iterate through all given jobs 
+	for (int i=0; i<n; i++) 
+	{ 
+	// Find a free slot for this job (Note that we start 
+	// from the last possible slot) 
+	for (int j=min(n, arr[i].deadline)-1; j>=0; j--) 
+	{ 
+		// Free slot found 
+		if (slot[j]==false) 
+		{ 
+			result[j] = i; // Add this job to result 
+			slot[j] = true; // Make this slot occupied 
+			break; 
+		} 
+	} 
+	} 
+
+	// Print the result 
+	for (int i=0; i<n; i++) 
+	if (slot[i]) 
+		cout << arr[result[i]].id << " "; 
+} 
+
+// Program to test methods 
+int main() 
+{ 
+	Job arr[] = { {'a', 2, 100}, {'b', 1, 19}, {'c', 2, 27}, {'d', 1, 25}, {'e', 3, 15}}; 
+	int n = sizeof(arr)/sizeof(arr[0]); 
+	cout << "Maximum profit sequence of jobs is: \n"; 
+	ShowJobSequence(arr, n); 
+	return 0; 
+} 
diff --git a/Greedy Algorithms/machineselect.py b/Greedy Algorithms/machineselect.py
new file mode 100644
index 00000000..aff0bd87
--- /dev/null
+++ b/Greedy Algorithms/machineselect.py	
@@ -0,0 +1,29 @@
+if __name__ == '__main__':
+	m=int(input("Enter number of machines:"))
+	n=int(input("Enter number of jobs:"))
+	t=[]
+	for i in range(n):
+		print("Enter time to complete jon no ",i+1)
+		a=int(input())
+		t.append(a)
+	#print(t)
+	M=[0]*m
+	k=0
+	#print(M)
+	for j in range(m):
+		if M[j]==0:
+			M[j]+=t[k]
+			k=k+1
+	#print(M)
+	for i in range(n-m):
+		x=min(M)
+		for l in range(m):
+			if M[l]==x:
+				z=l
+		#print(l)
+		M[z]+=t[k]
+		k=k+1
+	print("Max span= %d"%max(M))
+
+
+
diff --git a/Hash_alg/Array_is_subset_of_another_array_or_not b/Hash_alg/Array_is_subset_of_another_array_or_not
new file mode 100644
index 00000000..0f876fc2
--- /dev/null
+++ b/Hash_alg/Array_is_subset_of_another_array_or_not
@@ -0,0 +1,34 @@
+#include<bits/stdc++.h>
+using namespace std;
+
+int main()
+{
+     int n;
+     cin>>n;
+     vector<int>arr(n);
+     unordered_map<int,int>hash;
+     for(int i = 0 ; i < n ; i++)
+      {
+         cin>>arr[i];              //input first array
+         hash[arr[i]]++;           //putting elements inside hash
+      }
+     int m;
+     cin>>m;
+     vector<int>brr(m);
+
+    for(int i = 0; i < m ; i++)
+      cin>>brr[i];              //input second array
+
+    for(int i = 0 ; i < m; i++)
+         {
+           if(hash.find(brr[i])==hash.end())   //checking that element of second array is present in hash or not
+             {
+               cout<<"No";
+               return 0;
+             }
+         }
+
+      cout<<"Yes";
+
+
+}
diff --git a/Hash_alg/Hash.cpp b/Hash_alg/Hash.cpp
index 1cf8963b..07323a80 100644
--- a/Hash_alg/Hash.cpp
+++ b/Hash_alg/Hash.cpp
@@ -1,39 +1,39 @@
-#include <bits/stdc++.h>
-
-using namespace std;
-
-const long long M = 1e6 + 1, m = 1e9 + 7, P = 31;
-long long h[M], h1[M], Pow[M];
-
-void Hash(string& s, long long* h, long long* Pow)          //main hashing alg
-{
-    h[0] = 0;
-    Pow[0] = 1;
-    for (int i = 1; i <= s.size(); i++ )
-    {
-        h[i] = (h[i - 1] * P + s[i - 1]) % m;
-        Pow[i] = Pow[i - 1] * P % m;
-    }
-}
-
-int calculateHash(long long l, long long r, long long* h, long long* Pow)           //just calculating our hash
-{
-    return (h[r] - h[l] * Pow[r - l] + m * m) % m;
-}
-
-int main()
-{
-    //freopen("input.txt", "r", stdin);
-    string s1, s2;                                                                  //just an example
-    cin >> s1 >> s2;
-    Hash(s1, h, Pow);
-    Hash(s2, h1, Pow);
-    if (calculateHash(0, s1.size(), h, Pow) == calculateHash(0, s2.size(), h1, Pow))
-    {
-        cout << "\nStrigs are identical";
-        return 0;
-    }
-    cout << "\nString are non identical";
-    return 0;
-}
-
+#include <bits/stdc++.h>
+
+using namespace std;
+
+const long long M = 1e6 + 1, m = 1e9 + 7, P = 31;
+long long h[M], h1[M], Pow[M];
+
+void Hash(string& s, long long* h, long long* Pow)          //main hashing alg
+{
+    h[0] = 0;
+    Pow[0] = 1;
+    for (int i = 1; i <= s.size(); i++ )
+    {
+        h[i] = (h[i - 1] * P + s[i - 1]) % m;
+        Pow[i] = Pow[i - 1] * P % m;
+    }
+}
+
+int calculateHash(long long l, long long r, long long* h, long long* Pow)           //just calculating our hash
+{
+    return (h[r] - h[l] * Pow[r - l] + m * m) % m;
+}
+
+int main()
+{
+    //freopen("input.txt", "r", stdin);
+    string s1, s2;                                                                  //just an example
+    cin >> s1 >> s2;
+    Hash(s1, h, Pow);
+    Hash(s2, h1, Pow);
+    if (calculateHash(0, s1.size(), h, Pow) == calculateHash(0, s2.size(), h1, Pow))
+    {
+        cout << "\nStrigs are identical";
+        return 0;
+    }
+    cout << "\nString are non identical";
+    return 0;
+}
+
diff --git a/Hash_alg/Hashing_chaining.cpp b/Hash_alg/Hashing_chaining.cpp
new file mode 100644
index 00000000..8fa1fe24
--- /dev/null
+++ b/Hash_alg/Hashing_chaining.cpp
@@ -0,0 +1,89 @@
+// CPP program to implement hashing with chaining 
+#include<iostream> 
+#include <list> 
+using namespace std; 
+
+class Hash 
+{ 
+	int BUCKET; // No. of buckets 
+
+	// Pointer to an array containing buckets 
+	list<int> *table; 
+public: 
+	Hash(int V); // Constructor 
+
+	// inserts a key into hash table 
+	void insertItem(int x); 
+
+	// deletes a key from hash table 
+	void deleteItem(int key); 
+
+	// hash function to map values to key 
+	int hashFunction(int x) { 
+		return (x % BUCKET); 
+	} 
+
+	void displayHash(); 
+}; 
+
+Hash::Hash(int b) 
+{ 
+	this->BUCKET = b; 
+	table = new list<int>[BUCKET]; 
+} 
+
+void Hash::insertItem(int key) 
+{ 
+	int index = hashFunction(key); 
+	table[index].push_back(key); 
+} 
+
+void Hash::deleteItem(int key) 
+{ 
+// get the hash index of key 
+int index = hashFunction(key); 
+
+// find the key in (inex)th list 
+list <int> :: iterator i; 
+for (i = table[index].begin(); 
+		i != table[index].end(); i++) { 
+	if (*i == key) 
+	break; 
+} 
+
+// if key is found in hash table, remove it 
+if (i != table[index].end()) 
+	table[index].erase(i); 
+} 
+
+// function to display hash table 
+void Hash::displayHash() { 
+for (int i = 0; i < BUCKET; i++) { 
+	cout << i; 
+	for (auto x : table[i]) 
+	cout << " --> " << x; 
+	cout << endl; 
+} 
+} 
+
+// Driver program 
+int main() 
+{ 
+// array that contains keys to be mapped 
+int a[] = {15, 11, 27, 8, 12}; 
+int n = sizeof(a)/sizeof(a[0]); 
+
+// insert the keys into the hash table 
+Hash h(7); // 7 is count of buckets in 
+			// hash table 
+for (int i = 0; i < n; i++) 
+	h.insertItem(a[i]); 
+
+// delete 12 from hash table 
+h.deleteItem(12); 
+
+// display the Hash table 
+h.displayHash(); 
+
+return 0; 
+} 
diff --git a/Hash_alg/Hashing_with_chaining.cpp b/Hash_alg/Hashing_with_chaining.cpp
new file mode 100644
index 00000000..8fa1fe24
--- /dev/null
+++ b/Hash_alg/Hashing_with_chaining.cpp
@@ -0,0 +1,89 @@
+// CPP program to implement hashing with chaining 
+#include<iostream> 
+#include <list> 
+using namespace std; 
+
+class Hash 
+{ 
+	int BUCKET; // No. of buckets 
+
+	// Pointer to an array containing buckets 
+	list<int> *table; 
+public: 
+	Hash(int V); // Constructor 
+
+	// inserts a key into hash table 
+	void insertItem(int x); 
+
+	// deletes a key from hash table 
+	void deleteItem(int key); 
+
+	// hash function to map values to key 
+	int hashFunction(int x) { 
+		return (x % BUCKET); 
+	} 
+
+	void displayHash(); 
+}; 
+
+Hash::Hash(int b) 
+{ 
+	this->BUCKET = b; 
+	table = new list<int>[BUCKET]; 
+} 
+
+void Hash::insertItem(int key) 
+{ 
+	int index = hashFunction(key); 
+	table[index].push_back(key); 
+} 
+
+void Hash::deleteItem(int key) 
+{ 
+// get the hash index of key 
+int index = hashFunction(key); 
+
+// find the key in (inex)th list 
+list <int> :: iterator i; 
+for (i = table[index].begin(); 
+		i != table[index].end(); i++) { 
+	if (*i == key) 
+	break; 
+} 
+
+// if key is found in hash table, remove it 
+if (i != table[index].end()) 
+	table[index].erase(i); 
+} 
+
+// function to display hash table 
+void Hash::displayHash() { 
+for (int i = 0; i < BUCKET; i++) { 
+	cout << i; 
+	for (auto x : table[i]) 
+	cout << " --> " << x; 
+	cout << endl; 
+} 
+} 
+
+// Driver program 
+int main() 
+{ 
+// array that contains keys to be mapped 
+int a[] = {15, 11, 27, 8, 12}; 
+int n = sizeof(a)/sizeof(a[0]); 
+
+// insert the keys into the hash table 
+Hash h(7); // 7 is count of buckets in 
+			// hash table 
+for (int i = 0; i < n; i++) 
+	h.insertItem(a[i]); 
+
+// delete 12 from hash table 
+h.deleteItem(12); 
+
+// display the Hash table 
+h.displayHash(); 
+
+return 0; 
+} 
diff --git a/Hash_alg/Nuts_and_Bolt.cpp b/Hash_alg/Nuts_and_Bolt.cpp
new file mode 100644
index 00000000..8e5cf3c0
--- /dev/null
+++ b/Hash_alg/Nuts_and_Bolt.cpp
@@ -0,0 +1,31 @@
+
+#include <bits/stdc++.h> 
+using namespace std; 
+
+void nutboltmatch(char nuts[], char bolts[], int n) 
+{ 
+	unordered_map<char, int> hash; 
+
+	for (int i = 0; i < n; i++) 
+		hash[nuts[i]] = i; 
+
+	for (int i = 0; i < n; i++) 
+		if (hash.find(bolts[i]) != hash.end()) 
+			nuts[i] = bolts[i]; 
+	cout << "matched nuts and bolts are-" << endl; 
+	for (int i = 0; i < n; i++) 
+		cout << nuts[i] << " "; 
+	cout << endl; 
+	for (int i = 0; i < n; i++) 
+		cout << bolts[i] << " "; 
+} 
+
+int main() 
+{ 
+	char nuts[] = {'@', '#', '$', '%', '^', '&'}; 
+	char bolts[] = {'$', '%', '&', '^', '@', '#'}; 
+	int n = sizeof(nuts) / sizeof(nuts[0]); 
+	nutboltmatch(nuts, bolts, n); 
+	return 0; 
+} 
+
diff --git a/HuffmanCoding/huffman_coding.cpp b/HuffmanCoding/huffman_coding.cpp
new file mode 100755
index 00000000..3b18589f
--- /dev/null
+++ b/HuffmanCoding/huffman_coding.cpp
@@ -0,0 +1,253 @@
+#include <bits/stdc++.h>
+#include <stdio.h>
+#include <stdlib.h>
+using namespace std;
+
+ifstream input;
+ofstream output;
+
+struct Node{
+	char *symbol;
+	int frequency;
+	Node *next;
+	Node *left;
+	Node *right;
+};
+
+void TreeTraverse(string *H,Node *A,string C)
+{
+	output<<A->symbol<<" ";
+	if(A->left == NULL && A->right==NULL)
+	{
+		if(*(A->symbol) >= 'a' && *(A->symbol)<='z')
+		{
+			H[(int)(*(A->symbol) - 'a')] = C;
+		}
+		else
+		{
+			H[(int)(*(A->symbol)-'0')+26] = C;
+		}
+	}
+	else
+	{
+		string t;
+		t = C;
+		C.append("0");
+		t.append("1");
+		TreeTraverse(H,A->left,C);
+		TreeTraverse(H,A->right,t);
+	}
+}
+
+int main()
+{
+	
+	input.open("log.txt");
+	output.open("18CS10034_A5_output.txt");
+
+	int n;
+	input>>n;
+	int freq[36];
+
+	for(int i=0;i<36;i++)
+	{
+		freq[i]=0;
+	}
+
+	for(int i=0;i<n;i++)
+	{
+		string s;
+		getline(input,s);
+
+		for(int j=0;j<s.size();j++)
+		{
+			if((int)s[j] >='a' && (int)s[j] <='z')
+			{
+				freq[(int)s[j] - 'a']++;
+			}
+			else
+			{
+				freq[(int)s[j] - '0' + 26]++;
+			}
+		}
+	}
+
+	for(int i=0;i<36;i++)
+	{
+		if(i==0)
+		{
+			output<<(char)('a'+i)<<"="<<freq[i];
+		}
+		else if(i<=25)
+		{
+			output<<","<<(char)('a'+i)<<"="<<freq[i];
+		}
+		else
+		{
+			output<<","<<(char)('0'+i-26)<<"="<<freq[i];
+		}
+	}
+	output<<"\n";
+
+	int temp[36];
+	for(int i=0;i<36;i++)
+		temp[i] = freq[i];
+	int max=INT_MIN;
+	int index;
+
+	Node *list;
+	list = NULL;
+
+	for(int i=0;i<36;i++)
+	{
+		max = INT_MIN;
+		for(int j=0;j<36;j++)
+		{
+			if(temp[j]>=max)
+			{
+				max = temp[j];
+				index = j;
+			}
+		}
+
+		char *s;
+		s = new char;
+		if(index>=0 && index<=25)
+		{
+			*s = char(index + 'a');
+		}
+		else
+			*s = char(index + '0' -26);
+
+		Node *tem;
+		tem = new Node;
+		tem->frequency = max;
+		tem->symbol = s;
+		tem->left = NULL;
+		tem->right = NULL;
+		tem->next = NULL;
+
+		temp[index] = INT_MIN;
+
+		if(list == NULL)
+		{
+			list = tem;
+		}
+		else
+		{
+			tem->next = list;
+			list = tem;
+		}
+
+	}
+
+	int count=1;
+
+	while(list->next !=NULL)
+	{
+
+		Node *tr;
+		tr = list;
+		while(tr!=NULL)
+		{
+			cout<<tr->symbol<<" ";
+			tr = tr->next;
+		}
+		cout<<endl;
+
+
+		char *a;
+		if(count>9)
+		{
+			a = new char[3];
+			a[0] = 'N';
+			a[1] = (count/10) + '0';
+			a[2] = (count%10) + '0';
+		}
+		else
+		{
+			a = new char[2];
+			a[0] = 'N';
+			a[1] = count + '0';
+		}
+
+		Node *temp;
+		temp = new Node;
+		temp->symbol = a;
+		temp->frequency = list->frequency + list->next->frequency;
+		temp->left = list;
+		temp->right = list->next;
+		temp->next = NULL;
+
+		cout<<"a"<<endl;
+		list = list->next->next;
+		if(list == NULL)
+		{
+			list = temp;
+			break;
+		}
+
+
+		Node *temp1;
+		temp1 = list;
+
+		if(list->frequency >= temp->frequency)
+		{
+			temp->next = list;
+			list = temp;
+		}
+		else
+		{
+			while(list->next!=NULL)
+			{
+				if(list->next->frequency >= temp->frequency)
+				{
+					temp->next = list->next;
+					list->next = temp;
+					break;
+				}
+				list = list->next;
+			}
+			if(list->next==NULL)
+			{
+				list->next = temp;
+			}
+			list = temp1;
+
+		}
+
+		count++;
+
+	}
+
+	cout<<list->symbol<<endl;
+
+	string H[36];
+	string C = "";
+
+	TreeTraverse(H,list,C);
+
+	output<<"\n";
+
+	for(int i=0;i<36;i++)
+	{
+		cout<<H[i]<<endl;
+	}
+	
+	for(int i=0;i<36;i++)
+	{
+		if(i<=25)
+		{
+			output<<(char)('a'+i)<<" "<<H[i]<<endl;
+		}
+		else
+		{
+			output<<(char)('0'+i-26)<<" "<<H[i]<<endl;
+		}
+	}
+
+
+
+
+
+}
\ No newline at end of file
diff --git a/Huffman_Coding.cpp b/Huffman_Coding.cpp
new file mode 100644
index 00000000..b459e877
--- /dev/null
+++ b/Huffman_Coding.cpp
@@ -0,0 +1,82 @@
+// C++ program for Huffman Coding 
+#include<bits/stdc++.h>
+using namespace std;
+// A Huffman tree node
+struct MinHeapNode
+{
+	// One of the input characters;
+	char data;
+	// Frequency of the character;
+	unsigned freq;
+	// Left and right child;
+	MinHeapNode *left, *right;
+	MinHeapNode(char data, unsigned freq)
+	{
+		left = right = NULL;
+		this->data = data;
+		this->freq = freq; 
+	}
+};
+// For comparison of;
+// two heap nodes (needed in min heap);
+struct compare
+{
+	bool operator()(MinHeapNode* l, MinHeapNode* r)
+	{ 
+		return (l->freq > r->freq);
+	}
+};
+// Prints huffman codes from;
+// the root of Huffman Tree;
+void printCodes(struct MinHeapNode* root, string str)
+{
+	if (!root)
+		return;
+	if (root->data != '$')
+		cout << root->data << ": " << str << endl;
+	printCodes(root->left, str + "0");
+	printCodes(root->right, str + "1");
+}
+// The main function that builds a Huffman Tree and;
+// print codes by traversing the built Huffman Tree;
+void HuffmanCodes(char data[], int freq[], int size)
+{
+	struct MinHeapNode *left, *right, *top;
+	// Create a min heap & inserts all characters of data[];
+	priority_queue<MinHeapNode*, vector<MinHeapNode*>, compare> minHeap;
+	for (int i = 0; i < size; ++i)
+		minHeap.push(new MinHeapNode(data[i], freq[i]));
+	// Iterate while size of heap doesn't become 1;
+	while (minHeap.size() != 1)
+	{
+		// Extract the two minimum;
+		// freq items from min heap;
+		left = minHeap.top();
+		minHeap.pop();
+		right = minHeap.top();
+		minHeap.pop();
+		// Create a new internal node with
+		// frequency equal to the sum of the
+		// two nodes frequencies. Make the
+		// two extracted node as left and right children
+		// of this new node. Add this node
+		// to the min heap '$' is a special value
+		// for internal nodes, not used;
+		top = new MinHeapNode('$', left->freq + right->freq);
+		top->left = left;
+		top->right = right;
+		minHeap.push(top);
+	}
+	// Print Huffman codes using;
+	// the Huffman tree built above;
+	printCodes(minHeap.top(), "");
+}
+// Driver program to test above functions;
+int main()
+{
+	char arr[] = { 'a', 'b', 'c', 'd', 'e', 'f' };
+	int freq[] = { 5, 9, 12, 13, 16, 45 };
+	int size = sizeof(arr) / sizeof(arr[0]);
+	HuffmanCodes(arr, freq, size);
+	return 0;
+}
diff --git a/Java/BubbleSort.java b/Java/BubbleSort.java
new file mode 100644
index 00000000..097ef9d1
--- /dev/null
+++ b/Java/BubbleSort.java
@@ -0,0 +1,38 @@
+package com.dev.namhoai.sort;
+
+public class BubbleSort {
+
+    public static <T extends Comparable> void sort(T[] a) {
+        for (int i = 0; i < a.length; i++) {
+            //last i elements are already in sorted
+            for (int j = 1; j < a.length - i; j++) {
+                if (a[j - 1].compareTo(a[j]) > 0) {
+                    T temp = a[j - 1]; //swap
+                    a[j - 1] = a[j];
+                    a[j] = temp;
+                }
+            }
+        }
+    }
+
+    /**
+     * This is simple version of in-place, stable bubble sort, whose best case is O(n) and worst Case O(n^2);
+     */
+    public static void sortSimple(int[] a) {
+        for (int i = 0; i < a.length; i++) {
+            boolean sorted = true; //flag to check if any swapping made
+            // last elements sorted
+            for (int j = 1; j < a.length - i; j++) {
+                if (a[j] < a[j - 1]) { //swap
+                    int temp = a[j - 1];
+                    a[j - 1] = a[j];
+                    a[j] = temp;
+                    sorted = false;
+                }
+            }
+
+            // if any swapping has not occurred in the last iteration, we can say it is sorted now
+            if (sorted) break;
+        }
+    }
+}
\ No newline at end of file
diff --git a/Java/Graph/BFS and DFS.java b/Java/Graph/BFS and DFS.java
new file mode 100644
index 00000000..8a8d53d0
--- /dev/null
+++ b/Java/Graph/BFS and DFS.java	
@@ -0,0 +1,699 @@
+//This is BFS and DFS graph traversal in Java using both adjacency list and matrix
+
+package graph;
+import java.util.*;
+
+//making a class node having fields data and the next node to which the current will be adjacent to
+class node
+{
+	int data;
+	node next;
+	
+	public node(int d)
+	{
+		data=d;
+		next=null;
+	}
+};
+
+class graphcreation
+{
+	node head[]=new node[20];; // an array to maintain head node for each adjacent node
+	int adjmatrix[][]=new int[15][15];  //creating an adjacent matrix for all nodes 
+	int n;
+	int e;
+	Scanner sc= new Scanner(System.in);
+	
+	//accepting the details into a matrix like strating vertex, ending vertex between an edge
+	void create_graphmatrix()
+	{
+		int i,v,u,j;
+		System.out.println("\n\t Enter the number of vertices: ");
+		n=sc.nextInt();
+		System.out.println("\n\t Enter the number of edges: ");
+		e=sc.nextInt();
+		head=null;
+		for(i=1;i<=n;i++)
+		{
+			for(j=1;j<=n;j++)
+			{
+				adjmatrix[i][j]=0;
+			}
+		}
+		
+		for(i=0;i<e;i++)
+		{
+			System.out.println("\n\t Enter the vertices between which an edge exits: ");
+			System.out.println("\n\t Enter the starting vertex: ");
+			u=sc.nextInt();
+			System.out.println("\n\t Enter the end vertex: ");
+			v=sc.nextInt();
+			adjmatrix[u][v]=1;
+			adjmatrix[v][u]=1;
+		}
+		//displaying the adjacent matrix
+		
+		System.out.println("\n\t The adjacency matrix for the graph is: ");
+		for(i=1;i<=n;i++)
+		{
+			for(j=1;j<=n;j++)
+			{
+				System.out.print("\t"+adjmatrix[i][j]);
+			}
+			System.out.println(" ");
+		}
+	}
+    
+		// function to add the adjacent node corresponding to the current node in the adjacency list and marking it as 1  
+	void insert(int x,int t)
+	{
+		node y;
+		int d,i = 0;
+      
+	         	y= new node(t);
+				if(head[x]==null)
+				{
+					head[x]=y;
+				}
+				else
+				{
+					node p=head[x];
+					while(p.next!=null)
+					{
+						p=p.next;
+			     	}
+					p.next=y;
+			}	
+		}
+	
+	//accepting the details into a linked list like strating vertex, ending vertex between an edge
+	void create_graphlist()
+	{
+		int n;
+		int e,i,s,t;
+		System.out.println("\n\t Enter the number of vertices: ");
+		n=sc.nextInt();
+		System.out.println("\n\t Enter the number of edges: ");
+		e=sc.nextInt();
+		for(i=1;i<=e;i++)
+		{
+			System.out.println("\n\t Enter the vertices between which an edge exits: ");
+			System.out.println("\n\t Enter the starting vertex: ");
+			s=sc.nextInt();
+			System.out.println("\n\t Enter the end vertex: ");
+			t=sc.nextInt();
+			insert(s,t);  //like if node 3 is adjacnet to node 7 then 7 is added to adjacency list of 3
+			insert(t,s);  //vice-versa 3 is added to adjacency list of 7
+		}
+		
+		//displaying adjacency list of each node
+		for(i=1;i<=n;i++)
+		{
+			node ptr=head[i];
+			System.out.print("\n\t Adjacency list of vertex "+i+": ");
+			while(ptr!=null)
+			{
+				System.out.print(" \t "+ptr.data);
+				ptr=ptr.next;
+			}
+			System.out.println(" \n ");
+		}
+	}
+  
+  //in BFS we add all the adjacent of the current nodes first and when no more adjacent left 
+  //we repeat the process for the first adjacent node added
+  // whilst in DFS we add only one of adjacent nodes and repeat the process for it
+  
+	public void BFS_matrix()
+	{
+		int i=1,j;
+		int p;
+		int visited[]=new int[15];
+		Queue<Integer> q=new LinkedList<Integer>();
+		//checking if the vertex has already been visited or not
+		for(i=1;i<=n;i++)
+		{
+			visited[i]=0;
+		}
+		//adding the first vertex
+		q.add(1);
+		visited[1]=1; //marking it as visited and it becomes the source node
+		while(q.isEmpty()==false)
+		{
+			p=q.remove(); //removing head/source node from the queue if no adjacent found
+			System.out.print("\t "+p); //printing the head node
+		for(i=1;i<=n;i++)
+		{
+			if(adjmatrix[p][i]==1 && visited[i]==0) 
+			{
+				q.add(i);  //adding adjacent node to the queue
+				visited[i]=1;  //marking it as visited
+			}
+		}
+	}
+}
+	public void BFS_list()
+	{
+		int i=1;
+		node p;
+		node ptr;
+		int visited[]=new int[15]; 
+		int flag=0;
+		Queue<node> q=new LinkedList<node>();
+		for(i=1;i<=n;i++)
+		{
+			visited[i]=0;
+		}
+		q.add(head[i]);
+		System.out.print("\t "+i);
+		visited[i]=1;
+		ptr=head[i]; //marking it as visited and it becomes the source node
+		//first vertex among all vertices
+		while(q.isEmpty()==false)
+		{
+			
+			while(ptr!=null)
+			{
+				if(visited[ptr.data]==0)
+				{
+				//adding adjacent node to the queue
+				//marking it as visited
+					q.add(ptr);
+					System.out.print("\t "+ptr.data);	
+					
+					visited[ptr.data]=1;
+					
+				
+				}
+				ptr=ptr.next;
+				
+				
+			}q.remove(); //if no more adjacent then remove current front node 
+			ptr=q.peek();
+			if(ptr!=null) 
+			ptr=head[ptr.data]; //removed node becomes head node and repeat the process
+			else
+				break;
+		}
+	}
+		
+	public void DFS_list()
+	{
+		int i=1;
+		node p;
+		node ptr;
+		int visited[]=new int[15]; 
+		int flag=0;
+		Stack<node> s=new Stack<node>();
+		//checking if the vertex has already been visited or not
+		for(i=1;i<=n;i++)
+		{
+			visited[i]=0;
+		}
+		s.push(head[i]);
+		System.out.print("\t "+i);
+		visited[i]=1;
+		ptr=head[i];//first vertex among all vertices
+		while(s.isEmpty()==false)
+		{
+			flag=0;
+			while(ptr!=null)
+			{
+			//push any one of the adjacent nodes of current head node to the stack
+				if(visited[ptr.data]==0) //if adjacent and not visited yet
+				{
+					s.push(ptr);
+					System.out.print("\t "+ptr.data);
+					visited[ptr.data]=1; //mark as visited
+					flag=1;
+					break;
+				}
+				ptr=ptr.next; 
+				
+			}
+			if(flag==1)
+			{
+				ptr=head[ptr.data];  //repeat process for the node just inserted as it becomes the new head node
+				                     // and check for any one of its adjacent nodes
+			}
+			else
+			{
+					s.pop(); //if no adjacent remove till current node has any adjacent whilst printing the removed nodes
+				if(s.empty()==false)
+				{
+					ptr=s.firstElement();
+				}
+				
+				
+			}
+		}
+	}
+	public void DFS_matrix()
+	{
+		int i=1,j;
+		
+		int visited[]=new int[15]; 
+		int flag=0;
+		Stack<Integer> s=new Stack<Integer>();
+		//checking if the vertex has already been visited or not
+		for(int p=1;p<=n;p++)
+		{
+			visited[p]=0;
+		}
+		s.push(i);
+		System.out.print("\t "+i);
+		visited[i]=1;
+	
+		while(s.isEmpty()==false)
+		{
+		
+			flag=0;
+			for(j=1;j<=n;j++)
+			{
+				
+				if(visited[j]==0&&adjmatrix[i][j]==1)
+				{
+					s.push(j); //push any one of the adjacent nodes of current head node to the stack
+					System.out.print("\t "+j);
+					visited[j]=1;
+					flag=1;
+					break;
+					
+				}
+			
+				
+			}
+			if(flag==1)
+			{
+				i=j; //repeat process for the node just inserted as it becomes the new head node
+				                     // and check for any one of its adjacent nodes
+			}
+			else
+			{
+				s.pop();   //if no adjacent remove till current node has any adjacent whilst printing the removed nodes
+				if(s.empty()==false)
+				{
+					i=s.peek();
+				}
+				
+				
+			}
+		
+			}
+	}
+}
+
+public class graph
+{
+	public static void main(String args[])
+	{
+		Scanner sc= new Scanner(System.in);
+		graphcreation g1= new graphcreation();
+		graphcreation g2=new graphcreation();
+		graphcreation g3= new graphcreation();
+		graphcreation g4=new graphcreation();
+		
+		int ch;
+		do{
+		System.out.println("\n\t MENU: ");
+		System.out.print("\n\t 1.BFS list traversal \n\t 3.DFS list traversal \n\t 4.DFS matrix traversal \n\t 4.BFS matrix traversal ");
+		System.out.println("\n\t Enter your choice: ");
+		ch=sc.nextInt();
+		
+		switch(ch)
+		{
+		case 1:
+			System.out.println("\n\t To create the adjacency matrix");
+			g1.create_graphmatrix();
+			System.out.println("\n\t The BFS traversal using adjacency matrix: ");
+			g1.BFS();
+			break;
+			
+		case 2:
+			System.out.println("\n\t To create the adjacency list: ");
+			g2.create_graphlist();
+			
+			System.out.println("\n\t The DFS traversal using adjacency list: ");
+			g2.DFS_list();
+			break;
+		case 3:
+			System.out.println("\n\t To create the adjacency matrix: ");
+			g3.create_graphmatrix();
+			
+			System.out.println("\n\t The DFS traversal using adjancey matrix: ");
+			g3.DFS_matrix();
+			break;
+		case 4:
+			System.out.println("\n\t To create the adjacency list: ");
+			g4.create_graphlist();
+			System.out.println("\n\t The BFS traversal using adjacency list: ");
+			g4.BFS_list();
+			break;
+		}		
+	
+	}while(ch<5);
+
+}
+}
+
+/*
+OUTPUT:
+
+MENU: 
+
+1.BFS traversal 
+2.DFS list traversal
+3.DFS matrix traversal 
+Enter your choice: 
+1
+
+To create the adjacency matrix
+
+Enter the number of vertices: 
+8
+
+Enter the number of edges: 
+9
+
+Enter the vertices between which an edge exits: 
+
+Enter the starting vertex: 
+1
+
+Enter the end vertex: 
+2
+
+Enter the vertices between which an edge exits: 
+
+Enter the starting vertex: 
+2
+
+Enter the end vertex: 
+5
+
+Enter the vertices between which an edge exits: 
+
+Enter the starting vertex: 
+1
+
+Enter the end vertex: 
+6
+
+Enter the vertices between which an edge exits: 
+
+Enter the starting vertex: 
+6
+
+Enter the end vertex: 
+3
+
+Enter the vertices between which an edge exits: 
+
+Enter the starting vertex: 
+3
+
+Enter the end vertex: 
+7
+
+Enter the vertices between which an edge exits: 
+
+Enter the starting vertex: 
+6
+
+Enter the end vertex: 
+7
+
+Enter the vertices between which an edge exits: 
+
+Enter the starting vertex: 
+3
+
+Enter the end vertex: 
+4
+
+Enter the vertices between which an edge exits: 
+
+Enter the starting vertex: 
+4
+
+Enter the end vertex: 
+8
+
+Enter the vertices between which an edge exits: 
+
+Enter the starting vertex: 
+7
+
+Enter the end vertex: 
+8
+
+The adjacency matrix for the graph is: 
+0	1	0	0	0	1	0	0 
+1	0	0	0	1	0	0	0 
+0	0	0	1	0	1	1	0 
+0	0	1	0	0	0	0	1 
+0	1	0	0	0	0	0	0 
+1	0	1	0	0	0	1	0 
+0	0	1	0	0	1	0	1 
+0	0	0	1	0	0	1	0 
+
+The BFS traversal using adjacency matrix: 
+1	 2	 6	 5	 3	 7	 4	 8
+MENU: 
+
+1.BFS traversal 
+2.DFS list traversal 
+3.DFS matrix traversal
+Enter your choice: 
+2
+
+ To create the adjacency list: 
+
+	 Enter the number of vertices: 
+8
+
+	 Enter the number of edges: 
+10
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+1
+
+	 Enter the end vertex: 
+2
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+2
+
+	 Enter the end vertex: 
+7
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+7
+
+	 Enter the end vertex: 
+1
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+7
+
+	 Enter the end vertex: 
+6
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+6
+
+	 Enter the end vertex: 
+5
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+5
+
+	 Enter the end vertex: 
+4
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+4
+
+	 Enter the end vertex: 
+3
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+3
+
+	 Enter the end vertex: 
+8
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+4
+
+	 Enter the end vertex: 
+8
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+6
+
+	 Enter the end vertex: 
+4
+
+	 Adjacency list of vertex 1:  	 2 	 7 
+ 
+
+	 Adjacency list of vertex 2:  	 1 	 7 
+ 
+
+	 Adjacency list of vertex 3:  	 4 	 8 
+ 
+
+	 Adjacency list of vertex 4:  	 5 	 3 	 8 	 6 
+ 
+
+	 Adjacency list of vertex 5:  	 6 	 4 
+ 
+
+	 Adjacency list of vertex 6:  	 7 	 5 	 4 
+ 
+
+	 Adjacency list of vertex 7:  	 2 	 1 	 6 
+ 
+
+	 Adjacency list of vertex 8:  	 3 	 4 
+ 
+
+	 The DFS traversal using adjacency list: 
+	 1	 2	 7	 6	 5	 4	 3	 8
+	 MENU: 
+
+	 1.BFS traversal 
+	 2.DFS list traversal 
+	 3.DFS matrix traversal
+	 Enter your choice: 3
+	 
+	
+	 To create the adjacency matrix: 
+
+	 Enter the number of vertices: 
+8
+
+	 Enter the number of edges: 
+10
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+1
+
+	 Enter the end vertex: 
+2
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+1
+
+	 Enter the end vertex: 
+3
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+1
+
+	 Enter the end vertex: 
+4
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+1
+
+	 Enter the end vertex: 
+5
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+2
+
+	 Enter the end vertex: 
+6
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+3
+
+	 Enter the end vertex: 
+6
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+6
+
+	 Enter the end vertex: 
+8
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+4
+
+	 Enter the end vertex: 
+7
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+5
+
+	 Enter the end vertex: 
+7
+
+	 Enter the vertices between which an edge exits: 
+
+	 Enter the starting vertex: 
+7
+
+	 Enter the end vertex: 
+8
+
+	 The adjacency matrix for the graph is: 
+	0	1	1	1	1	0	0	0 
+	1	0	0	0	0	1	0	0 
+	1	0	0	0	0	1	0	0 
+	1	0	0	0	0	0	1	0 
+	1	0	0	0	0	0	1	0 
+	0	1	1	0	0	0	0	1 
+	0	0	0	1	1	0	0	1 
+	0	0	0	0	0	1	1	0 
+
+	 The DFS traversal using adjacency matrix: 
+	 1	 2	 6	 3	 8	 7	 4	 5
+	 MENU: 
+
+	 1.BFS traversal 
+	 2.DFS traversal 
+	 Enter your choice: 
+
+
+*/
\ No newline at end of file
diff --git a/Java/Graph/BFS.java b/Java/Graph/BFS.java
new file mode 100644
index 00000000..0f5b0a17
--- /dev/null
+++ b/Java/Graph/BFS.java
@@ -0,0 +1,42 @@
+import java.util.ArrayDeque;
+import java.util.ArrayList;
+import java.util.Comparator;
+import java.util.List;
+import java.util.Queue;
+
+import Graph;
+import Node;
+
+/**
+* Breadth-first search
+* @author rafbel
+* @since 2019-10-15
+*
+*/
+public class BFS {
+
+	public static List<Node> traverse(Graph graph, int startNodeIndex) {
+		List<Node> traversalList = new ArrayList<Node>();
+		Queue<Node> queue = new ArrayDeque<Node>();
+		Node startNode = graph.getNode(startNodeIndex);
+		startNode.setVisited(true);
+		queue.add(startNode);
+		
+		while (!queue.isEmpty()) {
+			Node currentNode = queue.remove();
+			traversalList.add(currentNode);
+			
+			List<Node> orderedAdjacentNodes = currentNode.getAdjacencyList();
+			orderedAdjacentNodes.sort(Comparator.comparing(Node::getData));
+			
+			for (Node adjacentNode : orderedAdjacentNodes) {
+				if (!adjacentNode.getVisited()) {
+					adjacentNode.setVisited(true);
+					queue.add(adjacentNode);
+				}
+			}
+		}
+		
+		return traversalList;
+	}
+}
diff --git a/Java/Graph/DFS.java b/Java/Graph/DFS.java
new file mode 100644
index 00000000..f48cf17d
--- /dev/null
+++ b/Java/Graph/DFS.java
@@ -0,0 +1,36 @@
+import java.util.ArrayList;
+import java.util.Comparator;
+import java.util.List;
+
+import Graph;
+import Node;
+
+/**
+* Depth-first search
+* @author rafbel
+* @since 2019-10-15
+*
+*/
+public class DFS {
+
+	public static List<Node> traverse(Graph graph, int startNodeIndex) {
+		List<Node> traversalList = new ArrayList<Node>();
+		recurseTraverse(graph.getNode(startNodeIndex), traversalList);
+		return traversalList;
+	}
+	
+	private static void recurseTraverse(Node currentNode, List<Node> traversalList) {
+		traversalList.add(currentNode);
+		currentNode.setVisited(true);
+		
+		List<Node> orderedAdjacentNodes = currentNode.getAdjacencyList();
+		orderedAdjacentNodes.sort(Comparator.comparing(Node::getData));
+		
+		for (Node adjacentNode : orderedAdjacentNodes) {
+			if (!adjacentNode.getVisited()) {
+				recurseTraverse(adjacentNode, traversalList);
+			}
+		}
+		
+	}
+}
diff --git a/Java/Graph/Graph.java b/Java/Graph/Graph.java
new file mode 100644
index 00000000..37f957ec
--- /dev/null
+++ b/Java/Graph/Graph.java
@@ -0,0 +1,29 @@
+import java.util.ArrayList;
+import java.util.List;
+
+/**
+* Graph data structure
+* @author rafbel
+* @since 2019-10-15
+*
+*/
+public class Graph {
+
+	private List<Node> nodes;
+	
+	public Graph() {
+		nodes = new ArrayList<Node>();
+	}
+	
+	public void addNode(Node node) {
+		nodes.add(node);
+	}
+	
+	public Node getNode(int i) {
+		return nodes.get(i);
+	}
+	
+	public List<Node> getNodes() {
+		return nodes;
+	}
+}
diff --git a/Java/Graph/Node.java b/Java/Graph/Node.java
new file mode 100644
index 00000000..c9c9d574
--- /dev/null
+++ b/Java/Graph/Node.java
@@ -0,0 +1,41 @@
+import java.util.ArrayList;
+import java.util.List;
+
+/**
+* Graph node data structure
+* @author rafbel
+* @since 2019-10-15
+*
+*/
+public class Node {
+
+	private Character data;
+	private List<Node> adjacencyList;
+	private Boolean visited;
+	
+	public Node(Character data) {
+		adjacencyList = new ArrayList<Node>();
+		this.data = data;
+		this.visited = false;
+	}
+	
+	public void addEdge(Node node) {
+		adjacencyList.add(node);
+	}
+	
+	public List<Node> getAdjacencyList() {
+		return adjacencyList;
+	}
+
+	public Character getData() {
+		return this.data;
+	}
+
+	public Boolean getVisited() {
+		return visited;
+	}
+
+	public void setVisited(Boolean visited) {
+		this.visited = visited;
+	}
+}
diff --git a/Java/binarySerach.java b/Java/binarySerach.java
new file mode 100644
index 00000000..c31513cb
--- /dev/null
+++ b/Java/binarySerach.java
@@ -0,0 +1,17 @@
+public class binarySearch{
+	// inputArray contains the data set we are going to search and it should be sorted
+	//x is the number we are going to find inside inputArray
+	public static boolean search(int[] inputArray, int x){
+		if (x > inputArray[inputArray.length-1] ){
+			int mid = inputArray.length/2;
+
+			if (inputArray[mid] == x){
+				return true;
+			}if (inputArray[mid]>x){
+				return search(Arrays.copyOfRange(inputArray,0,mid),x);
+			}
+
+			return search(Arrays.copyOfRange(inputArray,mid,inputArray[inputArray.length-1]),x);
+		}
+	}
+}
\ No newline at end of file
diff --git "a/Johnson\342\200\231s algorithm for shortest path" "b/Johnson\342\200\231s algorithm for shortest path"
new file mode 100644
index 00000000..bab0d94a
--- /dev/null
+++ "b/Johnson\342\200\231s algorithm for shortest path"	
@@ -0,0 +1,90 @@
+from collections import defaultdict 
+MAX_INT = float('Inf') 
+
+def minDistance(dist, visited): 
+
+	(minimum, minVertex) = (MAX_INT, 0) 
+	for vertex in range(len(dist)): 
+		if minimum > dist[vertex] and visited[vertex] == False: 
+			(minimum, minVertex) = (dist[vertex], vertex) 
+
+	return minVertex 
+
+def Dijkstra(graph, modifiedGraph, src): 
+
+	num_vertices = len(graph) 
+
+	sptSet = defaultdict(lambda : False) 
+
+	dist = [MAX_INT] * num_vertices 
+
+	dist[src] = 0
+
+	for count in range(num_vertices): 
+
+		curVertex = minDistance(dist, sptSet) 
+		sptSet[curVertex] = True
+
+		for vertex in range(num_vertices): 
+			if ((sptSet[vertex] == False) and
+				(dist[vertex] > (dist[curVertex] +
+				modifiedGraph[curVertex][vertex])) and
+				(graph[curVertex][vertex] != 0)): 
+				
+				dist[vertex] = (dist[curVertex] +
+								modifiedGraph[curVertex][vertex]); 
+
+	for vertex in range(num_vertices): 
+		print ('Vertex ' + str(vertex) + ': ' + str(dist[vertex])) 
+
+def BellmanFord(edges, graph, num_vertices): 
+
+	dist = [MAX_INT] * (num_vertices + 1) 
+	dist[num_vertices] = 0
+
+	for i in range(num_vertices): 
+		edges.append([num_vertices, i, 0]) 
+
+	for i in range(num_vertices): 
+		for (src, des, weight) in edges: 
+			if((dist[src] != MAX_INT) and
+					(dist[src] + weight < dist[des])): 
+				dist[des] = dist[src] + weight 
+
+	return dist[0:num_vertices] 
+
+def JohnsonAlgorithm(graph): 
+
+	edges = [] 
+
+	for i in range(len(graph)): 
+		for j in range(len(graph[i])): 
+
+			if graph[i][j] != 0: 
+				edges.append([i, j, graph[i][j]]) 
+
+	modifyWeights = BellmanFord(edges, graph, len(graph)) 
+
+	modifiedGraph = [[0 for x in range(len(graph))] for y in
+					range(len(graph))] 
+
+	for i in range(len(graph)): 
+		for j in range(len(graph[i])): 
+
+			if graph[i][j] != 0: 
+				modifiedGraph[i][j] = (graph[i][j] +
+						modifyWeights[i] - modifyWeights[j]); 
+
+	print ('Modified Graph: ' + str(modifiedGraph)) 
+
+	for src in range(len(graph)): 
+		print ('\nShortest Distance with vertex ' +
+						str(src) + ' as the source:\n') 
+		Dijkstra(graph, modifiedGraph, src) 
+
+graph = [[0, -5, 2, 3], 
+		[0, 0, 4, 0], 
+		[0, 0, 0, 1], 
+		[0, 0, 0, 0]] 
+
+JohnsonAlgorithm(graph) 
diff --git a/Kotlin/Bubble_Sort_In_Kotlin.kt b/Kotlin/Bubble_Sort_In_Kotlin.kt
index 3dde1c72..57b3b4c7 100644
--- a/Kotlin/Bubble_Sort_In_Kotlin.kt
+++ b/Kotlin/Bubble_Sort_In_Kotlin.kt
@@ -8,12 +8,12 @@ fun main (args : Array<String>) {
     for (i in 0 until n) {
         arr[i] = readLine()!!.toInt()
     }
-    insertionSort(arr)
+    bubbleSort(arr)
 }
 
 //function for bubble sort
 
-fun insertionSort(arr : Array<Int>) {
+fun bubbleSort(arr : Array<Int>) {
     var n = arr.size
     var temp : Int
     for(i in 0 until  n-1) {
@@ -30,4 +30,4 @@ fun insertionSort(arr : Array<Int>) {
     }
 }
 
-//This code is contributed by jatinsachdevame
\ No newline at end of file
+//This code is contributed by jatinsachdevame
diff --git a/Kotlin/README.md b/Kotlin/README.md
new file mode 100644
index 00000000..05c89f57
--- /dev/null
+++ b/Kotlin/README.md
@@ -0,0 +1 @@
+This repository contains programs on Bubble sort, Insertion sort, and Selection sort written in Kotlin programming language
diff --git a/Kotlin/Selection_Sort_In_Kotlin.kt b/Kotlin/Selection_Sort_In_Kotlin.kt
index 332d9509..f3fda679 100644
--- a/Kotlin/Selection_Sort_In_Kotlin.kt
+++ b/Kotlin/Selection_Sort_In_Kotlin.kt
@@ -8,12 +8,12 @@ fun main (args : Array<String>) {
     for (i in 0 until n) {
         arr[i] = readLine()!!.toInt()
     }
-    insertionSort(arr)
+    selectionSort(arr)
 }
 
-//function for insertion sort
+//function for selection sort
 
-fun insertionSort(arr : Array<Int>) {
+fun selectionSort(arr : Array<Int>) {
     var n = arr.size
     var index : Int
     var min : Int
@@ -36,4 +36,4 @@ fun insertionSort(arr : Array<Int>) {
     }
 }
 
-//This code is contributed by jatinsachdevame
\ No newline at end of file
+//This code is contributed by jatinsachdevame
diff --git a/Kotlin/binary_search_in_kotlin.kt b/Kotlin/binary_search_in_kotlin.kt
new file mode 100644
index 00000000..0463f96f
--- /dev/null
+++ b/Kotlin/binary_search_in_kotlin.kt
@@ -0,0 +1,25 @@
+un main(args: Array<String>) {
+    val input = readLine()!!.trim().split(" ").map { it -> it.toInt() }.toIntArray()  // to read an array (from user input)
+    val eleToSearch = readLine()!!.trim().toInt()   // to read the element to be searched (from user input)
+    val pos = binarySearchIterative(input, eleToSearch)
+    if(pos >= 0 ) {
+        println(pos)    // to print position at last
+    } else {
+        println("Position not found")
+    }
+}
+
+fun binarySearchIterative(input: IntArray, eleToSearch: Int) : Int{
+    var low = 0
+    var high = input.size-1
+    var mid:Int
+    while(low <= high) {
+        mid = (low + high)/2
+        when {
+            eleToSearch >input[mid]   -> low = mid+1    // element is greater than middle element of array, so it will be in right half of array
+            eleToSearch == input[mid] -> return mid // found the element
+            eleToSearch < input[mid]  -> high = mid-1   //element is less than middle element of array, so it will be in left half of the array.
+        }
+    }
+    return -1
+}
diff --git a/Kotlin/count_sort_in_kotlin b/Kotlin/count_sort_in_kotlin
new file mode 100644
index 00000000..af9d9147
--- /dev/null
+++ b/Kotlin/count_sort_in_kotlin
@@ -0,0 +1,44 @@
+fun counting_sort(A: Array<Int>, max: Int) {
+    // Array in which result will store
+	var B = Array<Int>(A.size, { 0 })   
+    // count array
+	var C = Array<Int>(max, { 0 })      
+    for (i in 0..A.size - 1) {
+        //count the no. of occurrence of a 
+		//particular element store in count array
+		C[A[i] - 1] = C[A[i] - 1] + 1    
+    }
+    for (i in 1..C.size - 1) {
+        // calculate commutative sum
+		C[i] = C[i] + C[i - 1]          
+    }
+    for (i in A.size - 1 downTo 0) {
+        // place the element at its position
+		B[C[A[i] - 1] - 1] = A[i]                  
+        // decrease the occurrence of the element by 1
+		C[A[i] - 1] = C[A[i] - 1] - 1              
+    }
+    println("After sorting :")
+    for (i in B) {
+        print("$i ")
+    }
+
+}
+
+fun main(arg: Array<String>) {
+    print("Enter no. of elements :")
+    var n = readLine()!!.toInt()
+
+    println("Enter elements : ")
+    var A = Array(n, { 0 })
+    for (i in 0 until n)
+        A[i] = readLine()!!.toInt()
+    // calculate maximum element from array
+    var max = A[0];
+    for (i in A) {
+        if (i > max) {
+            max = i
+        }
+    }
+    counting_sort(A, max)
+}
diff --git a/Kotlin/heap_sort_in_kotlin.kt b/Kotlin/heap_sort_in_kotlin.kt
new file mode 100644
index 00000000..bf041dec
--- /dev/null
+++ b/Kotlin/heap_sort_in_kotlin.kt
@@ -0,0 +1,68 @@
+var heapSize = 0
+
+fun left(i: Int): Int {
+    return 2 * i
+}
+
+fun right(i: Int): Int {
+    return 2 * i + 1
+}
+
+fun swap(A: Array<Int>, i: Int, j: Int) {
+    var temp = A[i]
+    A[i] = A[j]
+    A[j] = temp
+}
+
+fun max_heapify(A: Array<Int>, i: Int) {
+    var l = left(i);
+    var r = right(i);
+    var largest: Int;
+
+    if ((l <= heapSize - 1) && (A[l] > A[i])) {
+        largest = l;
+    } else
+        largest = i
+
+    if ((r <= heapSize - 1) && (A[r] > A[l])) {
+        largest = r
+    }
+
+    if (largest != i) {
+        swap(A, i, largest);
+        max_heapify(A, largest);
+    }
+}
+
+fun buildMaxheap(A: Array<Int>) {
+    heapSize = A.size
+    for (i in heapSize / 2 downTo 0) {
+        max_heapify(A, i)
+    }
+}
+
+fun heap_sort(A: Array<Int>) {
+    buildMaxheap(A)
+    for (i in A.size - 1 downTo 1) {
+        swap(A, i, 0)
+        heapSize = heapSize - 1
+        max_heapify(A, 0)
+
+    }
+}
+
+fun main(arg: Array<String>) {
+    print("Enter no. of elements :")
+    var n = readLine()!!.toInt()
+
+    println("Enter elements : ")
+    var A = Array(n, { 0 })
+    for (i in 0 until n)
+        A[i] = readLine()!!.toInt()
+
+    heap_sort(A)
+
+    println("Sorted array is : ")
+    for (i in 0 until n)
+        print("${A[i]}  ")
+}
diff --git a/Kotlin/merge_sort_in_kotlin.kt b/Kotlin/merge_sort_in_kotlin.kt
new file mode 100644
index 00000000..32319a83
--- /dev/null
+++ b/Kotlin/merge_sort_in_kotlin.kt
@@ -0,0 +1,41 @@
+fun merge(A: Array<Int>, p: Int, q: Int, r: Int) {
+    var left = A.copyOfRange(p, q + 1)
+    var right = A.copyOfRange(q + 1, r + 1)
+    var i = 0
+    var j = 0
+
+    for (k in p..r) {
+        if ((i <= left.size - 1) && ((j >= right.size) || (left[i] <= right[j]))) {
+            A[k] = left[i];
+            i++;
+        } else {
+            A[k] = right[j];
+            j++;
+        }
+    }
+}
+
+fun merge_sort(A: Array<Int>, p: Int, r: Int) {
+    if (p < r) {
+        var q = (p + r) / 2
+        merge_sort(A, p, q)
+        merge_sort(A, q + 1, r)
+        merge(A, p, q, r)
+    }
+}
+
+fun main(arg: Array<String>) {
+    print("Enter no. of elements :")
+    var n = readLine()!!.toInt()
+
+    println("Enter elements : ")
+    var A = Array(n, { 0 })
+    for (i in 0 until n)
+        A[i] = readLine()!!.toInt()
+
+    merge_sort(A, 0, A.size - 1)
+
+    println("Sorted array is : ")
+    for (i in 0 until n)
+        print("${A[i]}  ")
+}
diff --git a/Kotlin/quick_sort_in_kotlin b/Kotlin/quick_sort_in_kotlin
new file mode 100644
index 00000000..f1658176
--- /dev/null
+++ b/Kotlin/quick_sort_in_kotlin
@@ -0,0 +1,43 @@
+fun quick_sort(A: Array<Int>, p: Int, r: Int) {
+    if (p < r) {
+        var q: Int = partition(A, p, r)
+        quick_sort(A, p, q - 1)
+        quick_sort(A, q + 1, r)
+
+    }
+}
+
+fun partition(A: Array<Int>, p: Int, r: Int): Int {
+    var x = A[r]
+    var i = p - 1
+    for (j in p until r) {
+        if (A[j] <= x) {
+            i++
+            exchange(A, i, j)
+        }
+    }
+    exchange(A, i + 1, r)
+    return i + 1
+}
+
+fun exchange(A: Array<Int>, i: Int, j: Int) {
+    var temp = A[i]
+    A[i] = A[j]
+    A[j] = temp
+}
+
+fun main(arg: Array<String>) {
+    print("Enter no. of elements :")
+    var n = readLine()!!.toInt()
+
+    println("Enter elements : ")
+    var A = Array(n, { 0 })
+    for (i in 0 until n)
+        A[i] = readLine()!!.toInt()
+
+    quick_sort(A, 0, A.size - 1)
+
+    println("Sorted array is : ")
+    for (i in 0 until n)
+        print("${A[i]}  ")
+}
diff --git a/LCS.cpp b/LCS.cpp
new file mode 100644
index 00000000..aed986e0
--- /dev/null
+++ b/LCS.cpp
@@ -0,0 +1,41 @@
+#include<bits/stdc++.h>
+#include<string.h>
+using namespace std;
+//This function will return longest common subsequence of two given string;
+int LCS(char str1[], char str2[], int n, int m)
+{
+	vector<char>vec;
+	int L[n+1][m+1];		//initialize a 2D array;
+	int i,j;
+	for(i=0;i<=n;i++)
+	{
+		for(j=0;j<=m;j++)
+		{
+			if(i==0 || j==0)
+				L[i][j]=0;
+			else if(str1[i-1]==str2[j-1]) 	//if 'i'th character of 1st string equal to 'j'th character of
+			{								//2nd string then push that character to the vector and go for
+				L[i][j]=1+L[i-1][j-1];		//next character of both string;
+				vec.push_back(str1[i-1]);
+			}
+			else							//else return max of 'i-1' characters of 1st string and j characters
+				L[i][j]=max(L[i-1][j],L[i][j-1]);	//and 'i' characters of 1st string and 'j-1' characters of
+		}											//2nd sgtring;
+	}
+	int c=L[n][m];
+	cout << "\nLargest Common Subsequence is: ";
+	for(int i=vec.size()-c;i<vec.size();i++)	//print longest common subsequence;
+		cout << vec[i];
+	cout << endl;
+	return L[n][m]; 	//return length of longest common subsequence;
+}
+int main()
+{
+	char str1[100],str2[100];
+	cout << "Enter the two string: " << endl;
+	cin>>str1>>str2;	//enter two string;
+	int n=strlen(str1);	//length of first string;
+	int m=strlen(str2);	//length of second string;
+	cout << "Length of Largest Common Subsequence: " << LCS(str1, str2, n, m);	//print LCS of two string;
+	return 0;
+}
diff --git a/LIS_in_O(nlogn).cpp b/LIS_in_O(nlogn).cpp
new file mode 100644
index 00000000..a8a30a6e
--- /dev/null
+++ b/LIS_in_O(nlogn).cpp
@@ -0,0 +1,24 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+//Note that the below code works only for distinct longest increasing subsequence
+// If you want also want duplicate elements in LIS then change lower_bound to upper_bound and it will account for duplicates as well
+
+int main() {
+  int n;
+  cin >> n;
+  vector<int> dp;
+  
+  for (int i = 0; i < n; i++) {
+    int x;
+    cin >> x;
+    auto it = lower_bound(dp.begin(), dp.end(), x);
+    if (it == dp.end()) {
+      dp.push_back(x);
+    } else {
+      *it = x;
+    }
+  }
+  
+  cout << dp.size() << endl;
+}
diff --git a/LRU Cache Implementation/lru.py b/LRU Cache Implementation/lru.py
new file mode 100644
index 00000000..3f7bbe0a
--- /dev/null
+++ b/LRU Cache Implementation/lru.py	
@@ -0,0 +1,75 @@
+from lru import LRU
+l = LRU(5)         # Create an LRU container that can hold 5 items
+
+print (l.peek_first_item(), l.peek_last_item())  #return the MRU key and LRU key
+# Would print None None
+
+for i in range(5):
+   l[i] = str(i)
+print(l.items())    # Prints items in MRU order
+# Would print [(4, '4'), (3, '3'), (2, '2'), (1, '1'), (0, '0')]
+
+print(l.peek_first_item(), l.peek_last_item())  #return the MRU key and LRU key
+# Would print (4, '4') (0, '0')
+
+l[5] = '5'         # Inserting one more item should evict the old item
+print(l.items())
+# Would print [(5, '5'), (4, '4'), (3, '3'), (2, '2'), (1, '1')]
+
+l[3]               # Accessing an item would make it MRU
+print(l.items())
+# Would print [(3, '3'), (5, '5'), (4, '4'), (2, '2'), (1, '1')]
+# Now 3 is in front
+
+l.keys()           # Can get keys alone in MRU order
+# Would print [3, 5, 4, 2, 1]
+
+del l[4]           # Delete an item
+print(l.items())
+# Would print [(3, '3'), (5, '5'), (2, '2'), (1, '1')]
+
+print(l.get_size())
+# Would print 5
+
+l.set_size(3)
+print(l.items())
+# Would print [(3, '3'), (5, '5'), (2, '2')]
+print(l.get_size())
+# Would print 3
+print(l.has_key(5))
+# Would print True
+print(2 in l)
+# Would print True
+
+l.get_stats()
+# Would print (1, 0)
+
+
+l.update(5='0')           # Update an item
+print l.items()
+# Would print [(5, '0'), (3, '3'), (2, '2')]
+
+l.clear()
+print l.items()
+# Would print []
+
+def evicted(key, value):
+  print "removing: %s, %s" % (key, value)
+
+l = LRU(1, callback=evicted)
+
+l[1] = '1'
+l[2] = '2'
+# callback would print removing: 1, 1
+
+l[2] = '3'
+# doesn't call the evicted callback
+
+print l.items()
+# would print [(2, '3')]
+
+del l[2]
+# doesn't call the evicted callback
+
+print l.items()
+# would print []
\ No newline at end of file
diff --git a/Lazy Propagation b/Lazy Propagation
new file mode 100644
index 00000000..0f7d7300
--- /dev/null
+++ b/Lazy Propagation	
@@ -0,0 +1,104 @@
+#include<bits/stdc++.h>
+using namespace std;
+
+#define intmax 1000000
+#define endl "\n"
+#define add(a,b) a+b
+
+typedef long long ll ;
+
+ll tree[intmax];
+ll lazy[intmax];
+
+void update(ll node , ll start , ll end, ll l ,ll r, ll value)
+{
+
+
+    if(lazy[node]!= 0)
+    {
+        tree[node]+= (end-start +1)*lazy[node];
+        if(start != end)
+        {
+            lazy[node*2]+= lazy[node];
+            lazy[node*2+1]+= lazy[node];
+        }
+        lazy[node]=0;
+    }
+     if(start>end || r <start || l>end)
+        return;
+    if(l<= start && end<= r)
+    {
+        tree[node]+=(end-start +1) *value;
+        if(start != end)
+        {
+            lazy[node*2]+=value;
+            lazy[node*2+1]+= value;
+        }
+        return;
+    }
+    ll mid = (start+end)/2;
+    update(node*2,start,mid,l,r,value);
+    update(node*2+1,mid+1,end,l, r,value);
+    tree[node]=tree[node*2]+tree[node*2+1];
+}
+
+ll query (ll node , ll start, ll end , ll l, ll r)
+{
+    if(r<start || l> end ||start >end)
+    {
+        return 0;
+    }
+    if(lazy[node]!= 0)
+    {
+        tree[node]+=(end-start+1)*lazy[node];
+        if(start != end)
+        {
+            lazy[node*2]+= lazy[node];
+            lazy[node*2+1]+=lazy[node];
+        }
+        lazy[node]= 0;
+    }
+    if(l<= start && end <= r)
+    {
+        return tree[node];
+    }
+    ll mid = (start+end)/2;
+    ll p1 = query(2*node, start ,mid , l, r);
+    ll p2 = query(2*node +1, mid +1 , end, l , r);
+    return (add(p1,p2));
+}
+
+int main()
+{
+    ios_base::sync_with_stdio(false);
+    cin.tie(NULL);
+    cout.tie(NULL);
+    ll t;
+    cin >> t;
+
+    while(t--){
+    memset(tree, 0, sizeof(tree));
+    memset(lazy, 0, sizeof(lazy));
+    ll n , q;
+    cin >> n>> q;
+    while(q--)
+    {
+
+        int ch ;
+        cin >> ch;
+        if(ch == 1)
+        {
+            ll l ,r;
+            cin >> l >>r;
+            cout<<query(1,0,n-1,l-1,r-1)<<endl;
+        }
+        else
+        {
+            ll l  , r, value;
+            cin >> l>>r>>value;
+            update(1,0,n-1,l-1, r-1,value);
+        }
+    }
+    }
+    return 0;
+}
diff --git a/Lineartimeselectionalgorithm/kthsmallestelement.py b/Lineartimeselectionalgorithm/kthsmallestelement.py
new file mode 100644
index 00000000..3c4ec9bd
--- /dev/null
+++ b/Lineartimeselectionalgorithm/kthsmallestelement.py
@@ -0,0 +1,87 @@
+#----Median Of Median finding algorithm implimentation in python----
+
+
+#used to avoid overflow
+INT_MAX=2**32
+
+#finding the kth element from the list
+def kthS(a,k) :
+    a.sort()
+    return a[k-1]
+
+#finding median from the fixed length of array( median of arr[] from index l to l+n )
+def findmedian(a,l,n):
+    a=a[l:l+n]
+    a.sort()
+    return a[n//2]
+
+#This funrions uses median of median algo to find kthsmallest number in linear time
+def kthSmallest(a,l,r,k):
+    if k>0 and k<=r-l+1:
+        n=r-l+1
+        median=[0]*((n+4)//5)
+        i=0
+        #divide the array into smaller array of size 5 and find median of each small array
+        while(i<n//5):
+            median[i]=findmedian(a,l+i*5,5)
+            i+=1
+        # For last group with less than 5 elements 
+        if i*5<n:
+            median[i] = findmedian(a,l+i*5, n%5)  
+            i+=1
+        # Find median of all medians using recursive call.  
+        # If median[] has only one element, then no need  
+        # of recursive call
+        if(i == 1):
+            medOfMed = median[i-1]
+        else:    
+            kthSmallest(median, 0, i-1, i//2)
+        # Partition the array around a medOfMed 
+        # element and get position of pivot  
+        # element in sorted array 
+        pos = partition(a, l, r, medOfMed)
+        if pos-l == k-1: 
+            return a[pos]
+        if (pos-l > k-1):
+            return kthSmallest(a, l, pos-1, k)
+        return kthSmallest(a, pos+1, r, k-pos+l-1) 
+    return INT_MAX
+#for swapping two array elements
+def swap(arr, a, b): 
+    temp = arr[a] 
+    arr[a] = arr[b] 
+    arr[b] = temp 
+
+# It searches for x in arr[l..r],   
+# and partitions the array around x
+def partition(a,l,r,x):  
+    for i in range(l,r):
+        if (a[i] == x):
+           break
+    swap(a,i,r)
+    i = l 
+    for j in range(l,r):
+        if (a[j] <= x):
+            swap(a,i,j)
+            i+=1
+    swap(a,i,r); 
+    return i;
+#driver code
+def main():
+    #Total number of elements in the list is n
+    n=int(input("Enter value of n:"))
+    k=(n+1)//2
+    a=[]
+    #entering n elements to the lsit
+    for i in range(n):
+        x=int(input())
+        a.append(x)
+    #if total number of elements is even just print the kth elements
+    if(n%2==0):
+        print("result is: %d"%kthS(a,k))
+        return
+    #if total number of elements is odd the use median of median algo to find kth smallest
+    print("result %d"%kthSmallest(a, 0, n-1, k))
+#Calling the main funtion
+if __name__ == '__main__':
+    main()
diff --git a/Linked List/README.md b/Linked List/README.md
new file mode 100644
index 00000000..4625440a
--- /dev/null
+++ b/Linked List/README.md	
@@ -0,0 +1 @@
+This repository contains a list of programs (written in the C++ Programming Language) regarding various operations that are usually performed on the Linked List data structure.
\ No newline at end of file
diff --git a/Linked List/Singly Circular Linked List.cpp b/Linked List/Singly Circular Linked List.cpp
new file mode 100644
index 00000000..04731cba
--- /dev/null
+++ b/Linked List/Singly Circular Linked List.cpp	
@@ -0,0 +1,453 @@
+#include<stdio.h>
+#include<stdlib.h>
+
+void insertfirst(void);
+void insertlast(void);
+void insertbtw(void);
+void deletefirst(void);
+void deletelast(void);
+void deletebtw(void);
+void search(int i);
+int compare(char a[],char b[]);
+void display(void);
+struct info *newnode(void);
+int count(void);
+
+struct info
+{
+	char name[80];
+	char roll[9];
+	float cgpa;
+	struct info *next;
+};
+
+struct info *head;
+
+int main()
+{
+	head=NULL;
+	printf("This program creates circular a linked list.\n\n");
+	printf("------------------------------------------------------------\n");
+	int i;
+	while(1)
+	{
+		printf("Enter 1 for Insertion\nEnter 2 for Deletion\nEnter 3 for Search\nEnter 4 for Display\nEnter 5 for exit.\n\n");
+		scanf("%d",&i);
+		if(i==5)
+		{
+			return 0;
+		}
+		switch(i)
+		{
+			case 1:
+				printf("Enter 1 for insertion at first node\nEnter 2 for insertion at last node\nEnter 3 for insertion in between node.\n\n");
+				scanf("%d",&i);
+				switch(i)
+				{
+					case 1:
+						insertfirst();
+						break;
+					
+					case 2:
+						insertlast();
+						break;
+						
+					case 3:
+						insertbtw();
+						break;
+						
+					default:
+						printf("Error in input.\n");
+						break;			
+				}
+				break;
+			
+			case 2:
+				if(head==NULL)
+				{
+					printf("List Empty.\nNo deletion is possible.\n");
+					break;
+				}
+				printf("Enter 1 for deletion at first node\nEnter 2 for deletion at last node\nEnter 3 for deletion in between node.\n\n");
+				scanf("%d",&i);
+				switch(i)
+				{
+					case 1:
+						deletefirst();
+						break;
+					
+					case 2:
+						deletelast();
+						break;
+						
+					case 3:
+						deletebtw();
+						break;
+						
+					default:
+						printf("Error in input.\n");
+						break;			
+				}
+				break;	
+				
+			case 3:
+				if(head==NULL)
+				{
+					printf("List Empty.\nNo search is possible.\n");
+					break;
+				}
+				printf("Enter 1 for search by name\nEnter 2 for search by roll number\nEnter 3 for search by cgpa.\n");
+				scanf("%d",&i);
+				if(i<1||i>3)
+				{
+					printf("Error in input.\n");
+				}	
+				else
+				{
+					search(i);
+				}
+				break;
+				
+			case 4:
+				display();
+				break;
+				
+			default:
+				printf("Error in input.\n");
+				break;		
+		}
+			printf("------------------------------------------------------------\n");
+	}
+	getch();
+	return 0;
+}
+
+struct info *newnode(void)
+{
+	struct info *n=(struct info*)malloc(sizeof(struct info));
+	printf("Enter Name.\n");
+	gets(n->name);
+	gets(n->name);
+	printf("Enter Roll number.\n");
+	gets(n->roll);
+	printf("Enter cgpa.\n");
+	scanf("%f",&n->cgpa);
+	n->next=NULL;
+	return n;
+}
+
+void insertfirst(void)
+{
+	struct info *temp,*temp1,*temp2;
+	temp=newnode();
+	if(head==NULL)
+	{
+		head=temp;
+		temp->next=head;
+		return;
+	}
+	temp1=head;
+	temp2=head;
+	while(temp1->next!=head)
+	{
+		temp1=temp1->next;
+	}
+	temp1->next=temp;	
+	head=temp;
+	temp->next=temp2;
+}
+
+void insertlast(void)
+{
+	struct info *temp,*temp1;
+	temp=newnode();
+	if(head==NULL)
+	{
+		head=temp;
+		head->next=head;
+		return;
+	}
+	temp1=head;
+	while(temp1->next!=head)
+	{
+		temp1=temp1->next;
+	}
+	temp1->next=temp;
+	temp->next=head;
+}
+
+void insertbtw(void)
+{
+	int i,j;
+	struct info *temp,*temp1,*temp2;
+	printf("Enter the position at which node is to be inserted.\n");
+	scanf("%d",&i);
+	if(i>count()+1)
+	{
+		printf("\nINVALID POSITION.\n");
+		return;
+	}
+	temp=newnode();
+	if(head==NULL)
+	{
+		if(i==1)
+		{
+			head=temp;
+			head->next=head;
+			return;
+		}
+	}
+	if(i==1)
+	{
+		temp1=head;
+		while(temp1->next!=head)
+		{
+			temp1=temp1->next;
+		}
+		temp1->next=temp;
+		temp1=head;
+		head=temp;
+		head->next=temp1;
+		return;
+	}
+	temp1=head;
+	for(j=1;j<=i-2;j++)
+	{
+		temp1=temp1->next;
+	}
+	temp2=temp1->next;
+	temp1->next=temp;
+	temp->next=temp2;
+}
+
+void deletefirst(void)
+{
+	if(head==NULL)
+	{
+		printf("\nLIST EMPTY.\nNO DELETION IS POSSIBLE.\n");
+		return;
+	}
+	struct info *temp,*temp1,*temp2;	
+	temp=head->next;
+	temp1=head;
+	temp2=head;
+	while(temp1->next!=head)
+	{
+		temp1=temp1->next;
+	}
+	temp1->next=temp;
+	head=temp;
+	if(temp1->next==temp2)
+	{
+		head=NULL;
+	}
+	printf("\nThe entry deleted is -\n");
+	printf("\nNAME       : %s\nROLL NUMBER: %s\nCGPA       : %.2f\n",temp2->name,temp2->roll,temp2->cgpa);
+	free(temp2);
+}
+
+void deletelast(void)
+{
+	if(head==NULL)
+	{
+		printf("\nLIST EMPTY.\nNO DELETION IS POSSIBLE.\n");
+		return;
+	}
+	struct info *temp,*temp1;
+	temp=head;
+	if(temp->next==head)
+	{
+		head=NULL;
+		printf("\nThe entry deleted is -\n");
+	    printf("\nNAME       : %s\nROLL NUMBER: %s\nCGPA       : %.2f\n",temp->name,temp->roll,temp->cgpa);
+		free(temp);
+		return;
+	}
+	while(temp->next->next!=head)
+	{
+		temp=temp->next;
+	}
+	temp1=temp->next;
+	temp->next=head; 
+	printf("\nThe entry deleted is -\n");
+	printf("\nNAME       : %s\nROLL NUMBER: %s\nCGPA       : %.2f\n",temp1->name,temp1->roll,temp1->cgpa);
+	free(temp1);
+}
+
+void deletebtw(void)
+{
+	if(head==NULL)
+	{
+		printf("\nLIST EMPTY.\nNO DELETION IS POSSIBLE.\n");
+		return;
+	}
+	struct info *temp,*temp1,*temp2;
+	int i,j;
+	printf("Enter the position at which the node is to be deleted.\n");
+	scanf("%d",&i);
+	if(i==1)
+	{
+		deletefirst();
+		return;
+	}
+	if(i>count())
+	{
+		printf("\nINVALID POSITION.\n");
+		return;
+	}
+	temp=head;
+	for(j=1;j<=i-2;j++)
+	{
+		temp=temp->next;
+	}
+	temp1=temp->next;
+	temp2=temp1->next;
+	temp->next=temp2;
+	printf("\nThe entry deleted is -\n");
+	printf("\nNAME       : %s\nROLL NUMBER: %s\nCGPA       : %.2f\n",temp1->name,temp1->roll,temp1->cgpa);
+	free(temp1);
+}
+
+void search(int i)
+{
+	struct info *temp;
+	float b;
+	char a[20];
+	temp=head;
+	int j,k=0;
+	switch(i)
+	{
+		case 1:
+			printf("Enter Name to be searched.\n");
+			scanf("%s",a);
+			while(temp->next!=head)
+			{
+				k++;
+				j=compare(a,temp->name);
+				if(j==0)
+				{
+					printf("\nNAME       : %s\nROLL NUMBER: %s\nCGPA       : %.2f\n",temp->name,temp->roll,temp->cgpa);
+					printf("Found at position = %d\n",k);
+					return;
+				}
+				temp=temp->next;
+			}
+			k++;
+			j=compare(a,temp->name);
+			if(j==0)
+			{
+				printf("\nNAME       : %s\nROLL NUMBER: %s\nCGPA       : %.2f\n",temp->name,temp->roll,temp->cgpa);
+				printf("Found at position = %d\n",k);
+				return;
+			}
+			printf("\nGiven name not found.\n");
+			break;
+			
+			case 2:
+			printf("Enter ROLL NUMBER to be searched.\n");
+			scanf("%s",a);
+			while(temp->next!=head)
+			{
+				k++;
+				j=compare(a,temp->roll);
+				if(j==0)
+				{
+					printf("\nNAME       : %s\nROLL NUMBER: %s\nCGPA       : %.2f\n",temp->name,temp->roll,temp->cgpa);
+					printf("Found at position = %d\n",k);
+					return;
+				}
+				temp=temp->next;
+			}
+			k++;
+			j=compare(a,temp->roll);
+			if(j==0)
+			{
+				printf("\nNAME       : %s\nROLL NUMBER: %s\nCGPA       : %.2f\n",temp->name,temp->roll,temp->cgpa);
+				printf("Found at position = %d\n",k);
+				return;
+			}
+			printf("\nGiven roll number not found.\n");
+			break;	
+			
+			case 3:
+			printf("Enter CGPA to be searched.\n");
+			scanf("%f",&b);
+			while(temp->next!=head)
+			{
+				k++;
+				if(b==temp->cgpa)
+				{
+					printf("NAME       : %s\nROLL NUMBER: %s\nCGPA       : %.2f\n",temp->name,temp->roll,temp->cgpa);
+					printf("Found at position = %d\n",k);
+					return;
+				}
+				temp=temp->next;
+			}
+			k++;
+			if(b==temp->cgpa)
+			{
+				printf("NAME       : %s\nROLL NUMBER: %s\nCGPA       : %.2f\n",temp->name,temp->roll,temp->cgpa);
+				printf("Found at position = %d\n",k);
+				return;
+			}
+			printf("\nGiven CGPA not found.\n");
+			break;
+	}
+}
+
+int compare(char a[],char b[])
+{
+	int i,m;
+	for(i=0;(a[i]!='\0')&&(b[i]!='\0');i++)
+	{
+		m=a[i]-b[i];
+		if(m!=0)
+		{
+			return m;
+		}
+	}
+	if((a[i]=='\0')&&(b[i]=='\0'))
+	{
+		return 0;
+	}
+	else
+	{
+		m=a[i]-b[i];
+		return m;
+	}
+}
+
+void display(void)
+{
+	if(head==NULL)
+	{
+		printf("LIST EMPTY.\n");
+		return;	
+	}	
+	struct info *temp=head;
+	printf("The list is -\n");
+	while(temp->next!=head)
+	{
+		printf("NAME       : %s\nROLL NUMBER: %s\nCGPA       : %.2f\n\n",temp->name,temp->roll,temp->cgpa);
+        temp=temp->next;
+	}
+	printf("NAME       : %s\nROLL NUMBER: %s\nCGPA       : %.2f\n\n",temp->name,temp->roll,temp->cgpa);
+} 
+
+int count(void)
+{
+	if(head==NULL)
+	{
+		return 0;
+	}
+	struct info *temp;
+	int i=0;
+	temp=head;
+	while(temp->next!=head)
+	{
+		i++;
+		temp=temp->next;
+	}
+	i++;
+	return i;
+}
diff --git a/Linked List/delete_wo_head.cpp b/Linked List/delete_wo_head.cpp
new file mode 100644
index 00000000..ff40fdfe
--- /dev/null
+++ b/Linked List/delete_wo_head.cpp	
@@ -0,0 +1,89 @@
+// C++ program to delete a node 
+#include <bits/stdc++.h> 
+using namespace std; 
+  
+/* Link list node */
+struct Node { 
+    int data; 
+    struct Node* next; 
+}; 
+  
+// Fucntion to delete the node without head 
+void deleteNodeWithoutHead(struct Node* pos) 
+{ 
+    if (pos == NULL) // If linked list is empty 
+        return; 
+    else { 
+  
+        if (pos->next == NULL) { 
+            printf("This is last node, require head, can't be freed\n"); 
+            return; 
+        } 
+  
+        struct Node* temp = pos->next; 
+  
+        // Copy data of the next node to current node 
+        pos->data = pos->next->data; 
+  
+        // Perform conventional deletion 
+        pos->next = pos->next->next; 
+  
+        free(temp); 
+    } 
+} 
+  
+// Function to print the linked list 
+void print(Node* head) 
+{ 
+    Node* temp = head; 
+    while (temp) { 
+        cout << temp->data << " -> "; 
+        temp = temp->next; 
+    } 
+  
+    cout << "NULL"; 
+} 
+  
+void push(struct Node** head_ref, int new_data) 
+{ 
+    /* allocate node */
+    struct Node* new_node = new Node(); 
+  
+    /* put in the data */
+    new_node->data = new_data; 
+  
+    /* link the old list off the new node */
+    new_node->next = (*head_ref); 
+  
+    /* move the head to point to the new node */
+    (*head_ref) = new_node; 
+} 
+  
+// Driver Code 
+int main() 
+{ 
+    /* Start with the empty list */
+    struct Node* head = NULL; 
+  
+    // create linked 35->15->4->20 
+    push(&head, 20); 
+    push(&head, 4); 
+    push(&head, 15); 
+    push(&head, 35); 
+    cout << "Initial Linked List: \n"; 
+    print(head); 
+    cout << endl 
+         << endl; 
+  
+    // Delete 15 without sending head 
+    Node* del = head->next; 
+    deleteNodeWithoutHead(del); 
+  
+    // Print the final linked list 
+    cout << "Final Linked List after deletion of 15:\n"; 
+    print(head); 
+  
+    return 0; 
+  
+    // This code has been contributed by Subrat Kumar Swian
+} 
\ No newline at end of file
diff --git a/Linked List/reverse_k-group_linkedList.cpp b/Linked List/reverse_k-group_linkedList.cpp
new file mode 100644
index 00000000..418167f5
--- /dev/null
+++ b/Linked List/reverse_k-group_linkedList.cpp	
@@ -0,0 +1,98 @@
+// CPP program to reverse a linked list 
+// in groups of given size  
+#include <bits/stdc++.h> 
+using namespace std; 
+  
+/* Link list node */
+class Node  
+{  
+    public: 
+    int data;  
+    Node* next;  
+};  
+  
+/* Reverses the linked list in groups 
+of size k and returns the pointer 
+to the new head node. */
+Node *reverse (Node *head, int k)  
+{  
+    Node* current = head;  
+    Node* next = NULL;  
+    Node* prev = NULL;  
+    int count = 0;  
+      
+    /*reverse first k nodes of the linked list */
+    while (current != NULL && count < k)  
+    {  
+        next = current->next;  
+        current->next = prev;  
+        prev = current;  
+        current = next;  
+        count++;  
+    }  
+      
+    /* next is now a pointer to (k+1)th node  
+    Recursively call for the list starting from current.  
+    And make rest of the list as next of first node */
+    if (next != NULL)  
+    head->next = reverse(next, k);  
+  
+    /* prev is new head of the input list */
+    return prev;  
+}  
+  
+/* UTILITY FUNCTIONS */
+/* Function to push a node */
+void push(Node** head_ref, int new_data)  
+{  
+    /* allocate node */
+    Node* new_node = new Node(); 
+  
+    /* put in the data */
+    new_node->data = new_data;  
+  
+    /* link the old list off the new node */
+    new_node->next = (*head_ref);      
+  
+    /* move the head to point to the new node */
+    (*head_ref) = new_node;  
+}  
+  
+/* Function to print linked list */
+void printList(Node *node)  
+{  
+    while (node != NULL)  
+    {  
+        cout<<node->data<<" ";  
+        node = node->next;  
+    }  
+}  
+  
+/* Driver code*/
+int main()  
+{  
+    /* Start with the empty list */
+    Node* head = NULL;  
+  
+    /* Created Linked list is 1->2->3->4->5->6->7->8->9 */
+    push(&head, 9);  
+    push(&head, 8);  
+    push(&head, 7);  
+    push(&head, 6);  
+    push(&head, 5);  
+    push(&head, 4);  
+    push(&head, 3);  
+    push(&head, 2);  
+    push(&head, 1);      
+  
+    cout<<"Given linked list \n";  
+    printList(head);  
+    head = reverse(head, 3);  
+  
+    cout<<"\nReversed Linked list \n";  
+    printList(head);  
+  
+    return(0);  
+}  
+  
+// This code is contributed by Subrat Kumar Swain
diff --git a/Linked List/xor_linked_list.cpp b/Linked List/xor_linked_list.cpp
new file mode 100644
index 00000000..a7fad32a
--- /dev/null
+++ b/Linked List/xor_linked_list.cpp	
@@ -0,0 +1,69 @@
+//Doubly Linked List cost too much space because it stores previous and next address.
+//So, XOR Linked List stores XOR of previous and next address and hence saves data.
+
+#include <iostream>
+#include <cstdint> // for including "uintptr_t" data structure.
+
+using namespace std;
+
+//Node is defined here and constructor is created.
+class Node {
+  public:
+    int data;
+    Node *link;
+
+    Node(int info) {
+      data = info;
+      link = NULL;
+    }
+};
+
+//function returns XOR of previous and next pointer.
+Node* XOR(Node *a, Node *b) {
+//uintptr_t stores XOR of address.
+  return (Node*)((uintptr_t)(a) ^ (uintptr_t)(b));
+}
+
+//function to create a node at beginning.
+void push(Node **head, int data) {
+  Node *temp = new Node(data);
+  
+  //link stores XOR of head address and NULL.
+  temp->link = XOR(*head, NULL);
+
+  if ((*head) != NULL) {
+    //if head != NULL link stores XOR of prev and next node.
+    (*head)->link = XOR(temp, XOR((*head)->link, NULL));
+  }
+  
+  (*head) = temp;
+
+}
+
+void print(Node *head) {
+  Node *curr = head;
+  Node *prev = NULL;
+  Node *next;
+
+  while(curr != NULL) {
+    cout << curr->data << " ";
+
+    next = XOR(prev, curr->link);
+
+    prev = curr;
+
+    curr = next;
+  }
+}
+
+int main() {
+  Node *head;
+  push(&head, 1);
+  push(&head, 2);
+  push(&head, 3);
+  push(&head, 4);
+  push(&head, 5);
+  push(&head, 6);
+  print(head);
+  
+}
diff --git a/Logistic-Regression b/Logistic-Regression
new file mode 100644
index 00000000..c72d278b
--- /dev/null
+++ b/Logistic-Regression
@@ -0,0 +1,69 @@
+# Logistic regression implemented from Scratch in Python
+import sys
+import numpy as np
+import matplotlib.pyplot as plt
+
+
+def sigmoid(scores):
+    return 1 / (1 + np.exp(-scores))
+
+
+def log_likelihood(features, target, weights):
+    scores = np.dot(features, weights)
+    ll = np.sum(target * scores - np.log(1 + np.exp(scores)))
+    return ll
+
+
+def logistic_regression(features,target,num_steps,learning_rate,
+                        add_intercept=False):
+    
+    if add_intercept:
+        intercept = np.ones((features.shape[0], 1))
+        features = np.hstack((intercept, features))
+
+    weights = np.zeros(features.shape[1])
+
+    for step in range(1,num_steps):
+        scores = np.dot(features, weights)
+        predictions = sigmoid(scores)
+
+        # Update weights with gradient
+        output_error_signal = target - predictions
+        gradient = np.dot(features.T, output_error_signal)
+        weights += learning_rate * gradient
+
+        # Print log-likelihood every so often
+        if step % 10000 == 0:
+            print (log_likelihood(features, target, weights))
+
+    return weights
+
+
+np.random.seed(12)
+num_observations = 5000
+
+x1 = np.random.multivariate_normal([0, 0], [[1, .75], [.75, 1]],
+                                   num_observations)
+x2 = np.random.multivariate_normal([1, 4], [[1, .75], [.75, 1]],
+                                   num_observations)
+
+simulated_separableish_features = np.vstack((x1, x2)).astype(np.float32)
+simulated_labels = np.hstack((np.zeros(num_observations),
+                              np.ones(num_observations)))
+
+plt.figure(figsize=(12, 8))
+plt.scatter(
+    simulated_separableish_features[:, 0],
+    simulated_separableish_features[:, 1],
+    c=simulated_labels,
+    alpha=.4)
+
+plt.show()
+
+# Running the model
+
+weights = logistic_regression(simulated_separableish_features,simulated_labels,num_steps=300000,
+    learning_rate=5e-5,
+    add_intercept=True)
+
+print(weights)
diff --git a/Longest Common Subsequence b/Longest Common Subsequence
new file mode 100644
index 00000000..b8d9b705
--- /dev/null
+++ b/Longest Common Subsequence	
@@ -0,0 +1,38 @@
+
+#include <bits/stdc++.h> 
+using namespace std; 
+
+int max(int a, int b); 
+
+/* Returns length of LCS for X[0..m-1], Y[0..n-1] */
+int lcs( char *X, char *Y, int m, int n ) 
+{ 
+	if (m == 0 || n == 0) 
+		return 0; 
+	if (X[m-1] == Y[n-1]) 
+		return 1 + lcs(X, Y, m-1, n-1); 
+	else
+		return max(lcs(X, Y, m, n-1), lcs(X, Y, m-1, n)); 
+} 
+
+/* Utility function to get max of 2 integers */
+int max(int a, int b) 
+{ 
+	return (a > b)? a : b; 
+} 
+
+/* Driver code */
+int main() 
+{ 
+	char X[] = "AGGTAB"; 
+	char Y[] = "GXTXAYB"; 
+	
+	int m = strlen(X); 
+	int n = strlen(Y); 
+	
+	cout<<"Length of LCS is "<< lcs( X, Y, m, n ) ; 
+	
+	return 0; 
+} 
+
+// This code is contributed by rathbhupendra 
diff --git a/LongestCommonSubsequence/C++/LCS-DP.cpp b/LongestCommonSubsequence/C++/LCS-DP.cpp
new file mode 100644
index 00000000..6e59c123
--- /dev/null
+++ b/LongestCommonSubsequence/C++/LCS-DP.cpp
@@ -0,0 +1,49 @@
+//Longest Common subsequence
+//Refrence: https://www.geeksforgeeks.org/longest-common-subsequence-dp-4/
+#include<bits/stdc++.h> 
+using namespace std; 
+
+int max(int a, int b); 
+
+
+int lcs( char *X, char *Y, int m, int n ) 
+{ 
+	int L[m + 1][n + 1]; 
+	int i, j; 
+	
+	for (i = 0; i <= m; i++) 
+	{ 
+		for (j = 0; j <= n; j++) 
+		{ 
+		if (i == 0 || j == 0) 
+			L[i][j] = 0; 
+	
+		else if (X[i - 1] == Y[j - 1]) 
+			L[i][j] = L[i - 1][j - 1] + 1; 
+	
+		else
+			L[i][j] = max(L[i - 1][j], L[i][j - 1]); 
+		} 
+	} 
+	return L[m][n]; 
+} 
+
+int max(int a, int b) 
+{ 
+	return (a > b)? a : b; 
+} 
+
+int main() 
+{ 
+	char X[] = "ABCAAGGTABAB"; 
+	char Y[] = "ZELGGXTXAYB"; 
+	
+	int m = strlen(X); 
+	int n = strlen(Y); 
+	
+	cout << "Length of LCS is: "
+		<< lcs( X, Y, m, n ); 
+	
+	return 0; 
+} 
+
diff --git a/LongestCommonSubsequence/C++/Longest_common_subsequence.cpp b/LongestCommonSubsequence/C++/Longest_common_subsequence.cpp
new file mode 100644
index 00000000..90092283
--- /dev/null
+++ b/LongestCommonSubsequence/C++/Longest_common_subsequence.cpp
@@ -0,0 +1,48 @@
+//Begin
+//Take the array of strings as input.
+//function matchedPrefixtill(): find the matched prefix between string s1 and s2 :
+  // n1 = store length of string s1.
+   //n2 = store length of string s2.
+   //for i = 0, j = 0 to i <= n1 – 1 && j <= n2 - 1
+     // if s1[i] != s2[j]
+       //  break
+    //  result.push_back(s1[i])
+  // return result
+//End
+//Begin
+//function matchedPrefix(): returns the longest matched prefix from the array of strings:
+  // for int i = 1 to n - 1
+    //     pre = matchedPrefixtill(pre, a[i])
+   //return pre.
+//End
+
+#include<bits/stdc++.h>
+using namespace std;
+
+string matchedPrefixtill(string s1, string s2) {
+   string res;
+   int n1 = s1.length(); //store length of string s1.
+   int n2 = s2.length(); //store length of string s2.
+   for (int i = 0, j = 0; i <= n1 - 1 && j <= n2 - 1; i++, j++) {
+      if (s1[i] != s2[j])
+         break;
+      res.push_back(s1[i]);
+   }
+   return (res);
+}
+string matchedPrefix (string a[], int n) {
+   string pre = a[0];
+   for (int i = 1; i <= n - 1; i++)
+   pre = matchedPrefixtill(pre, a[i]);
+   return (pre);
+}
+int main() {
+   string a[] = {"Tutorialspoint", "Tutor", "Tutorials"}; //taking inputs
+   int n = sizeof(a) / sizeof(a[0]);
+   string res = matchedPrefix(a, n);
+   if (res.length())
+      cout<<"Longest common subsequence is matched - "<<res.c_str();
+   else
+      cout<<"No matched prefix";
+   return (0);
+}
\ No newline at end of file
diff --git a/LongestCommonSubsequence/C++/lcs.cpp b/LongestCommonSubsequence/C++/lcs.cpp
new file mode 100644
index 00000000..cb321c89
--- /dev/null
+++ b/LongestCommonSubsequence/C++/lcs.cpp
@@ -0,0 +1,35 @@
+/* A Naive recursive implementation of LCS problem */
+#include <bits/stdc++.h> 
+
+int max(int a, int b); 
+
+/* Returns length of LCS for X[0..m-1], Y[0..n-1] */
+int lcs(char* X, char* Y, int m, int n) 
+{ 
+	if (m == 0 || n == 0) 
+		return 0; 
+	if (X[m - 1] == Y[n - 1]) 
+		return 1 + lcs(X, Y, m - 1, n - 1); 
+	else
+		return max(lcs(X, Y, m, n - 1), lcs(X, Y, m - 1, n)); 
+} 
+
+/* Utility function to get max of 2 integers */
+int max(int a, int b) 
+{ 
+	return (a > b) ? a : b; 
+} 
+
+/* Driver program to test above function */
+int main() 
+{ 
+	char X[] = "AGGTAB"; 
+	char Y[] = "GXTXAYB"; 
+
+	int m = strlen(X); 
+	int n = strlen(Y); 
+
+	printf("Length of LCS is %d\n", lcs(X, Y, m, n)); 
+
+	return 0; 
+} 
diff --git a/LongestCommonSubsequence/LCS.java b/LongestCommonSubsequence/LCS.java
new file mode 100644
index 00000000..8e7e1d21
--- /dev/null
+++ b/LongestCommonSubsequence/LCS.java
@@ -0,0 +1,28 @@
+public class LongestCommonSubsequence { 
+  
+    /* Returns length of LCS for X[0..m-1], Y[0..n-1] */
+    int lcs(char[] X, char[] Y, int m, int n) 
+    { 
+        int L[][] = new int[m + 1][n + 1]; 
+  
+        /* Following steps build L[m+1][n+1] in bottom up fashion. Note 
+         that L[i][j] contains length of LCS of X[0..i-1] and Y[0..j-1] */
+        for (int i = 0; i <= m; i++) { 
+            for (int j = 0; j <= n; j++) { 
+                if (i == 0 || j == 0) 
+                    L[i][j] = 0; 
+                else if (X[i - 1] == Y[j - 1]) 
+                    L[i][j] = L[i - 1][j - 1] + 1; 
+                else
+                    L[i][j] = max(L[i - 1][j], L[i][j - 1]); 
+            } 
+        } 
+        return L[m][n]; 
+    } 
+  
+    /* Utility function to get max of 2 integers */
+    int max(int a, int b) 
+    { 
+        return (a > b) ? a : b; 
+    } 
+  
diff --git a/LongestCommonSubsequence/Python/LCS.py b/LongestCommonSubsequence/Python/LCS.py
new file mode 100644
index 00000000..70435758
--- /dev/null
+++ b/LongestCommonSubsequence/Python/LCS.py
@@ -0,0 +1,37 @@
+# Longest common subsequence
+
+
+def longest_common_subsequence(x, y):
+    """Longest common subsequence
+
+    Dynamic programming
+
+    :param x:
+    :param y: x,y are lists or strings
+    :returns: longest common subsequence in form of a string
+    :complexity: `O(|x|*|y|)`
+    """
+    n = len(x)
+    m = len(y)
+    #                      -- calcul longueur optimale
+    A = [[0 for j in range(m + 1)] for i in range(n + 1)]
+    for i in range(n):
+        for j in range(m):
+            if x[i] == y[j]:
+                A[i + 1][j + 1] = A[i][j] + 1
+            else:
+                A[i + 1][j + 1] = max(A[i][j + 1],  A[i + 1][j])
+    #                      -- extraire solution
+    sol = []
+    i, j = n, m
+    while A[i][j] > 0:
+        if A[i][j] == A[i - 1][j]:
+            i -= 1
+        elif A[i][j] == A[i][j - 1]:
+            j -= 1
+        else:
+            i -= 1
+            j -= 1
+            sol.append(x[i])
+    return ''.join(sol[::-1])    # liste inversée
+
diff --git a/LongestCommonSubsequence/longest-common-subsequence.java b/LongestCommonSubsequence/longest-common-subsequence.java
new file mode 100644
index 00000000..8e7e1d21
--- /dev/null
+++ b/LongestCommonSubsequence/longest-common-subsequence.java
@@ -0,0 +1,28 @@
+public class LongestCommonSubsequence { 
+  
+    /* Returns length of LCS for X[0..m-1], Y[0..n-1] */
+    int lcs(char[] X, char[] Y, int m, int n) 
+    { 
+        int L[][] = new int[m + 1][n + 1]; 
+  
+        /* Following steps build L[m+1][n+1] in bottom up fashion. Note 
+         that L[i][j] contains length of LCS of X[0..i-1] and Y[0..j-1] */
+        for (int i = 0; i <= m; i++) { 
+            for (int j = 0; j <= n; j++) { 
+                if (i == 0 || j == 0) 
+                    L[i][j] = 0; 
+                else if (X[i - 1] == Y[j - 1]) 
+                    L[i][j] = L[i - 1][j - 1] + 1; 
+                else
+                    L[i][j] = max(L[i - 1][j], L[i][j - 1]); 
+            } 
+        } 
+        return L[m][n]; 
+    } 
+  
+    /* Utility function to get max of 2 integers */
+    int max(int a, int b) 
+    { 
+        return (a > b) ? a : b; 
+    } 
+  
diff --git a/MO's Algorithm/C++/README.md b/MO's Algorithm/C++/README.md
new file mode 100644
index 00000000..bd1b87fc
--- /dev/null
+++ b/MO's Algorithm/C++/README.md	
@@ -0,0 +1 @@
+This repository contains MO's Algorithm implemented in the C++ programming language.
diff --git a/MachineLearning/agent.py b/MachineLearning/agent.py
new file mode 100644
index 00000000..0c7d22b5
--- /dev/null
+++ b/MachineLearning/agent.py
@@ -0,0 +1,63 @@
+from collections import deque
+import random
+import numpy as np
+from model import mlp
+
+
+
+class DQNAgent(object):
+  """ A simple Deep Q agent """
+  def __init__(self, state_size, action_size):
+    self.state_size = state_size
+    self.action_size = action_size
+    self.memory = deque(maxlen=2000)
+    self.gamma = 0.95  # discount rate
+    self.epsilon = 1.0  # exploration rate
+    self.epsilon_min = 0.01
+    self.epsilon_decay = 0.995
+    self.model = mlp(state_size, action_size)
+
+
+  def remember(self, state, action, reward, next_state, done):
+    self.memory.append((state, action, reward, next_state, done))
+
+
+  def act(self, state):
+    if np.random.rand() <= self.epsilon:
+      return random.randrange(self.action_size)
+    act_values = self.model.predict(state)
+    return np.argmax(act_values[0])  # returns action
+
+
+  def replay(self, batch_size=32):
+    """ vectorized implementation; 30x speed up compared with for loop """
+    minibatch = random.sample(self.memory, batch_size)
+
+    states = np.array([tup[0][0] for tup in minibatch])
+    actions = np.array([tup[1] for tup in minibatch])
+    rewards = np.array([tup[2] for tup in minibatch])
+    next_states = np.array([tup[3][0] for tup in minibatch])
+    done = np.array([tup[4] for tup in minibatch])
+
+    # Q(s', a)
+    target = rewards + self.gamma * np.amax(self.model.predict(next_states), axis=1)
+    # end state target is reward itself (no lookahead)
+    target[done] = rewards[done]
+
+    # Q(s, a)
+    target_f = self.model.predict(states)
+    # make the agent to approximately map the current state to future discounted reward
+    target_f[range(batch_size), actions] = target
+
+    self.model.fit(states, target_f, epochs=1, verbose=0)
+
+    if self.epsilon > self.epsilon_min:
+      self.epsilon *= self.epsilon_decay
+
+
+  def load(self, name):
+    self.model.load_weights(name)
+
+
+  def save(self, name):
+    self.model.save_weights(name)
diff --git a/MachineLearning/k-nearest-neighbour/k-nearest.py b/MachineLearning/k-nearest-neighbour/k-nearest.py
new file mode 100644
index 00000000..3c50d882
--- /dev/null
+++ b/MachineLearning/k-nearest-neighbour/k-nearest.py
@@ -0,0 +1,48 @@
+import numpy as np
+import pandas as pd
+import matplotlib.pyplot as plt
+from sklearn.model_selection import train_test_split
+from sklearn.datasets import make_blobs
+X, y = make_blobs(n_samples=200, centers=2, n_features=2, random_state=35)
+plt.scatter(X[:,0],X[:,1],c=y)
+plt.show()
+query_x=np.array([-6,-3])
+plt.scatter(X[:,0],X[:,1],c=y)
+plt.scatter(query_x[0],query_x[1],c='red')
+plt.show()
+
+
+class KNN:
+    def __init__(self,k=10):
+        self.k=k
+    def fit(self,X,y,x):
+        self.X=X
+        self.y=y
+        self.x=x
+        dis=[]
+        res=[]
+        for j in range(X.shape[0]):
+            distan=self.distance(X[j],x)
+            dis.append(distan)
+        li=np.argsort(dis)
+        top_k=li[:self.k]
+        for i in top_k:
+            res.append(y[i])
+        
+        u,val=np.unique(res,return_counts=True)
+        
+        return u[np.argmax(val)]
+        
+    def distance(self,x1,x2):
+        return np.sum((x1-x2)**2)
+    def score(self,x_train,y_train):
+        res=self.fit(self.X,self.y,x_train)
+        return np.sum((res==y_train)/len(y_train))
+
+def main():
+    model=KNN(k=10)
+    result=model.fit(X,y,query_x)
+    print(result)
+
+if __name__ == "__main__":
+    main()
\ No newline at end of file
diff --git a/MachineLearning/neural_network/data.txt b/MachineLearning/neural_network/data.txt
new file mode 100644
index 00000000..c06f4679
--- /dev/null
+++ b/MachineLearning/neural_network/data.txt
@@ -0,0 +1,5000 @@
+5 153:3 154:18 155:18 156:18 157:126 158:136 159:175 160:26 161:166 162:255 163:247 164:127 177:30 178:36 179:94 180:154 181:170 182:253 183:253 184:253 185:253 186:253 187:225 188:172 189:253 190:242 191:195 192:64 204:49 205:238 206:253 207:253 208:253 209:253 210:253 211:253 212:253 213:253 214:251 215:93 216:82 217:82 218:56 219:39 232:18 233:219 234:253 235:253 236:253 237:253 238:253 239:198 240:182 241:247 242:241 261:80 262:156 263:107 264:253 265:253 266:205 267:11 269:43 270:154 290:14 291:1 292:154 293:253 294:90 320:139 321:253 322:190 323:2 348:11 349:190 350:253 351:70 377:35 378:241 379:225 380:160 381:108 382:1 406:81 407:240 408:253 409:253 410:119 411:25 435:45 436:186 437:253 438:253 439:150 440:27 464:16 465:93 466:252 467:253 468:187 494:249 495:253 496:249 497:64 519:46 520:130 521:183 522:253 523:253 524:207 525:2 545:39 546:148 547:229 548:253 549:253 550:253 551:250 552:182 571:24 572:114 573:221 574:253 575:253 576:253 577:253 578:201 579:78 597:23 598:66 599:213 600:253 601:253 602:253 603:253 604:198 605:81 606:2 623:18 624:171 625:219 626:253 627:253 628:253 629:253 630:195 631:80 632:9 649:55 650:172 651:226 652:253 653:253 654:253 655:253 656:244 657:133 658:11 677:136 678:253 679:253 680:253 681:212 682:135 683:132 684:16
+0 128:51 129:159 130:253 131:159 132:50 155:48 156:238 157:252 158:252 159:252 160:237 182:54 183:227 184:253 185:252 186:239 187:233 188:252 189:57 190:6 208:10 209:60 210:224 211:252 212:253 213:252 214:202 215:84 216:252 217:253 218:122 236:163 237:252 238:252 239:252 240:253 241:252 242:252 243:96 244:189 245:253 246:167 263:51 264:238 265:253 266:253 267:190 268:114 269:253 270:228 271:47 272:79 273:255 274:168 290:48 291:238 292:252 293:252 294:179 295:12 296:75 297:121 298:21 301:253 302:243 303:50 317:38 318:165 319:253 320:233 321:208 322:84 329:253 330:252 331:165 344:7 345:178 346:252 347:240 348:71 349:19 350:28 357:253 358:252 359:195 372:57 373:252 374:252 375:63 385:253 386:252 387:195 400:198 401:253 402:190 413:255 414:253 415:196 427:76 428:246 429:252 430:112 441:253 442:252 443:148 455:85 456:252 457:230 458:25 467:7 468:135 469:253 470:186 471:12 483:85 484:252 485:223 494:7 495:131 496:252 497:225 498:71 511:85 512:252 513:145 521:48 522:165 523:252 524:173 539:86 540:253 541:225 548:114 549:238 550:253 551:162 567:85 568:252 569:249 570:146 571:48 572:29 573:85 574:178 575:225 576:253 577:223 578:167 579:56 595:85 596:252 597:252 598:252 599:229 600:215 601:252 602:252 603:252 604:196 605:130 623:28 624:199 625:252 626:252 627:253 628:252 629:252 630:233 631:145 652:25 653:128 654:252 655:253 656:252 657:141 658:37
+4 161:67 162:232 163:39 173:62 174:81 189:120 190:180 191:39 201:126 202:163 216:2 217:153 218:210 219:40 229:220 230:163 244:27 245:254 246:162 257:222 258:163 272:183 273:254 274:125 284:46 285:245 286:163 300:198 301:254 302:56 312:120 313:254 314:163 327:23 328:231 329:254 330:29 340:159 341:254 342:120 355:163 356:254 357:216 358:16 368:159 369:254 370:67 380:14 381:86 382:178 383:248 384:254 385:91 396:159 397:254 398:85 402:47 403:49 404:116 405:144 406:150 407:241 408:243 409:234 410:179 411:241 412:252 413:40 424:150 425:253 426:237 427:207 428:207 429:207 430:253 431:254 432:250 433:240 434:198 435:143 436:91 437:28 438:5 439:233 440:250 453:119 454:177 455:177 456:177 457:177 458:177 459:98 460:56 466:102 467:254 468:220 494:169 495:254 496:137 522:169 523:254 524:57 550:169 551:254 552:57 578:169 579:255 580:94 606:169 607:254 608:96 634:169 635:254 636:153 662:169 663:255 664:153 690:96 691:254 692:153
+1 159:124 160:253 161:255 162:63 186:96 187:244 188:251 189:253 190:62 214:127 215:251 216:251 217:253 218:62 241:68 242:236 243:251 244:211 245:31 246:8 268:60 269:228 270:251 271:251 272:94 296:155 297:253 298:253 299:189 323:20 324:253 325:251 326:235 327:66 350:32 351:205 352:253 353:251 354:126 378:104 379:251 380:253 381:184 382:15 405:80 406:240 407:251 408:193 409:23 432:32 433:253 434:253 435:253 436:159 460:151 461:251 462:251 463:251 464:39 487:48 488:221 489:251 490:251 491:172 515:234 516:251 517:251 518:196 519:12 543:253 544:251 545:251 546:89 570:159 571:255 572:253 573:253 574:31 597:48 598:228 599:253 600:247 601:140 602:8 625:64 626:251 627:253 628:220 653:64 654:251 655:253 656:220 681:24 682:193 683:253 684:220
+9 209:55 210:148 211:210 212:253 213:253 214:113 215:87 216:148 217:55 236:87 237:232 238:252 239:253 240:189 241:210 242:252 243:252 244:253 245:168 262:4 263:57 264:242 265:252 266:190 267:65 268:5 269:12 270:182 271:252 272:253 273:116 290:96 291:252 292:252 293:183 294:14 297:92 298:252 299:252 300:225 301:21 317:132 318:253 319:252 320:146 321:14 325:215 326:252 327:252 328:79 344:126 345:253 346:247 347:176 348:9 351:8 352:78 353:245 354:253 355:129 371:16 372:232 373:252 374:176 378:36 379:201 380:252 381:252 382:169 383:11 399:22 400:252 401:252 402:30 403:22 404:119 405:197 406:241 407:253 408:252 409:251 410:77 427:16 428:231 429:252 430:253 431:252 432:252 433:252 434:226 435:227 436:252 437:231 456:55 457:235 458:253 459:217 460:138 461:42 462:24 463:192 464:252 465:143 490:62 491:255 492:253 493:109 518:71 519:253 520:252 521:21 547:253 548:252 549:21 574:71 575:253 576:252 577:21 602:106 603:253 604:252 605:21 630:45 631:255 632:253 633:21 659:218 660:252 661:56 687:96 688:252 689:189 690:42 715:14 716:184 717:252 718:170 719:11 744:14 745:147 746:252 747:42
+2 156:13 157:25 158:100 159:122 160:7 182:33 183:151 184:208 185:252 186:252 187:252 188:146 208:40 209:152 210:244 211:252 212:253 213:224 214:211 215:252 216:232 217:40 234:15 235:152 236:239 237:252 238:252 239:252 240:216 241:31 242:37 243:252 244:252 245:60 262:96 263:252 264:252 265:252 266:252 267:217 268:29 270:37 271:252 272:252 273:60 290:181 291:252 292:252 293:220 294:167 295:30 298:77 299:252 300:252 301:60 318:26 319:128 320:58 321:22 326:100 327:252 328:252 329:60 354:157 355:252 356:252 357:60 378:110 379:121 380:122 381:121 382:202 383:252 384:194 385:3 403:10 404:53 405:179 406:253 407:253 408:255 409:253 410:253 411:228 412:35 429:5 430:54 431:227 432:252 433:243 434:228 435:170 436:242 437:252 438:252 439:231 440:117 441:6 456:6 457:78 458:252 459:252 460:125 461:59 463:18 464:208 465:252 466:252 467:252 468:252 469:87 470:7 483:5 484:135 485:252 486:252 487:180 488:16 490:21 491:203 492:253 493:247 494:129 495:173 496:252 497:252 498:184 499:66 500:49 501:49 510:3 511:136 512:252 513:241 514:106 515:17 517:53 518:200 519:252 520:216 521:65 523:14 524:72 525:163 526:241 527:252 528:252 529:223 538:105 539:252 540:242 541:88 542:18 543:73 544:170 545:244 546:252 547:126 548:29 554:89 555:180 556:180 557:37 566:231 567:252 568:245 569:205 570:216 571:252 572:252 573:252 574:124 575:3 594:207 595:252 596:252 597:252 598:252 599:178 600:116 601:36 602:4 622:13 623:93 624:143 625:121 626:23 627:6
+1 125:145 126:255 127:211 128:31 152:32 153:237 154:253 155:252 156:71 180:11 181:175 182:253 183:252 184:71 209:144 210:253 211:252 212:71 236:16 237:191 238:253 239:252 240:71 264:26 265:221 266:253 267:252 268:124 269:31 293:125 294:253 295:252 296:252 297:108 322:253 323:252 324:252 325:108 350:255 351:253 352:253 353:108 378:253 379:252 380:252 381:108 406:253 407:252 408:252 409:108 434:253 435:252 436:252 437:108 462:255 463:253 464:253 465:170 490:253 491:252 492:252 493:252 494:42 518:149 519:252 520:252 521:252 522:144 546:109 547:252 548:252 549:252 550:144 575:218 576:253 577:253 578:255 579:35 603:175 604:252 605:252 606:253 607:35 631:73 632:252 633:252 634:253 635:35 659:31 660:211 661:252 662:253 663:35
+3 152:38 153:43 154:105 155:255 156:253 157:253 158:253 159:253 160:253 161:174 162:6 178:43 179:139 180:224 181:226 182:252 183:253 184:252 185:252 186:252 187:252 188:252 189:252 190:158 191:14 206:178 207:252 208:252 209:252 210:252 211:253 212:252 213:252 214:252 215:252 216:252 217:252 218:252 219:59 234:109 235:252 236:252 237:230 238:132 239:133 240:132 241:132 242:189 243:252 244:252 245:252 246:252 247:59 262:4 263:29 264:29 265:24 270:14 271:226 272:252 273:252 274:172 275:7 298:85 299:243 300:252 301:252 302:144 325:88 326:189 327:252 328:252 329:252 330:14 351:91 352:212 353:247 354:252 355:252 356:252 357:204 358:9 374:32 375:125 376:193 377:193 378:193 379:253 380:252 381:252 382:252 383:238 384:102 385:28 401:45 402:222 403:252 404:252 405:252 406:252 407:253 408:252 409:252 410:252 411:177 429:45 430:223 431:253 432:253 433:253 434:253 435:255 436:253 437:253 438:253 439:253 440:74 458:31 459:123 460:52 461:44 462:44 463:44 464:44 465:143 466:252 467:252 468:74 493:15 494:252 495:252 496:74 521:86 522:252 523:252 524:74 539:5 540:75 541:9 548:98 549:242 550:252 551:252 552:74 566:61 567:183 568:252 569:29 574:18 575:92 576:239 577:252 578:252 579:243 580:65 594:208 595:252 596:252 597:147 598:134 599:134 600:134 601:134 602:203 603:253 604:252 605:252 606:188 607:83 622:208 623:252 624:252 625:252 626:252 627:252 628:252 629:252 630:252 631:253 632:230 633:153 634:8 650:49 651:157 652:252 653:252 654:252 655:252 656:252 657:217 658:207 659:146 660:45 679:7 680:103 681:235 682:252 683:172 684:103 685:24
+1 153:5 154:63 155:197 181:20 182:254 183:230 184:24 209:20 210:254 211:254 212:48 237:20 238:254 239:255 240:48 265:20 266:254 267:254 268:57 293:20 294:254 295:254 296:108 321:16 322:239 323:254 324:143 350:178 351:254 352:143 378:178 379:254 380:143 406:178 407:254 408:162 434:178 435:254 436:240 462:113 463:254 464:240 490:83 491:254 492:245 493:31 518:79 519:254 520:246 521:38 547:214 548:254 549:150 575:144 576:241 577:8 603:144 604:240 605:2 631:144 632:254 633:82 659:230 660:247 661:40 687:168 688:209 689:31
+4 135:189 136:190 162:143 163:247 164:153 189:136 190:247 191:242 192:86 217:192 218:252 219:187 237:62 238:185 239:18 244:89 245:236 246:217 247:47 265:216 266:253 267:60 272:212 273:255 274:81 293:206 294:252 295:68 299:48 300:242 301:253 302:89 320:131 321:251 322:212 323:21 326:11 327:167 328:252 329:197 330:5 347:29 348:232 349:247 350:63 354:153 355:252 356:226 374:45 375:219 376:252 377:143 381:116 382:249 383:252 384:103 400:4 401:96 402:253 403:255 404:253 405:200 406:122 407:7 408:25 409:201 410:250 411:158 428:92 429:252 430:252 431:253 432:217 433:252 434:252 435:200 436:227 437:252 438:231 455:87 456:251 457:247 458:231 459:65 460:48 461:189 462:252 463:252 464:253 465:252 466:251 467:227 468:35 483:190 484:221 485:98 489:42 490:196 491:252 492:253 493:252 494:252 495:162 511:111 512:29 517:62 518:239 519:252 520:86 521:42 522:42 523:14 544:15 545:148 546:253 547:218 572:121 573:252 574:231 575:28 599:31 600:221 601:251 602:129 627:218 628:252 629:160 655:122 656:252 657:82
+3 124:42 125:118 126:219 127:166 128:118 129:118 130:6 151:103 152:242 153:254 154:254 155:254 156:254 157:254 158:66 179:18 180:232 181:254 182:254 183:254 184:254 185:254 186:238 187:70 208:104 209:244 210:254 211:224 212:254 213:254 214:254 215:141 237:207 238:254 239:210 240:254 241:254 242:254 243:34 265:84 266:206 267:254 268:254 269:254 270:254 271:41 294:24 295:209 296:254 297:254 298:254 299:171 321:91 322:137 323:253 324:254 325:254 326:254 327:112 347:40 348:214 349:250 350:254 351:254 352:254 353:254 354:254 355:34 375:81 376:247 377:254 378:254 379:254 380:254 381:254 382:254 383:146 404:110 405:246 406:254 407:254 408:254 409:254 410:254 411:171 433:73 434:89 435:89 436:93 437:240 438:254 439:171 464:1 465:128 466:254 467:219 468:31 492:7 493:254 494:254 495:214 496:28 520:138 521:254 522:254 523:116 539:19 540:177 541:90 547:25 548:240 549:254 550:254 551:34 567:164 568:254 569:215 570:63 571:36 573:51 574:89 575:206 576:254 577:254 578:139 579:8 595:57 596:197 597:254 598:254 599:222 600:180 601:241 602:254 603:254 604:253 605:213 606:11 624:140 625:105 626:254 627:254 628:254 629:254 630:254 631:254 632:236 653:7 654:117 655:117 656:165 657:254 658:254 659:239 660:50
+5 217:31 218:40 219:129 220:234 221:234 222:159 243:68 244:150 245:239 246:254 247:253 248:253 249:253 250:215 269:156 270:201 271:254 272:254 273:254 274:241 275:150 276:98 277:8 295:19 296:154 297:254 298:236 299:203 300:83 301:39 302:30 323:144 324:253 325:145 326:12 348:10 349:129 350:222 351:78 352:79 353:8 376:134 377:253 378:167 379:8 404:255 405:254 406:78 432:201 433:253 434:226 435:69 457:55 458:6 460:18 461:128 462:253 463:241 464:41 483:25 484:205 485:235 486:92 489:20 490:253 491:253 492:58 511:231 512:245 513:108 517:132 518:253 519:185 520:14 539:121 540:245 541:254 542:254 543:254 544:217 545:254 546:223 547:50 568:116 569:165 570:233 571:233 572:234 573:180 574:39 575:3
+3 144:12 145:99 146:91 147:142 148:155 149:246 150:182 151:155 152:155 153:155 154:155 155:131 156:52 172:138 173:254 174:254 175:254 176:254 177:254 178:254 179:254 180:254 181:254 182:254 183:254 184:252 185:210 186:122 187:33 200:220 201:254 202:254 203:254 204:235 205:189 206:189 207:189 208:189 209:150 210:189 211:205 212:254 213:254 214:254 215:75 228:35 229:74 230:35 231:35 232:25 239:13 240:224 241:254 242:254 243:153 267:90 268:254 269:254 270:247 271:53 293:6 294:152 295:246 296:254 297:254 298:49 320:66 321:158 322:254 323:254 324:249 325:103 326:8 347:54 348:251 349:254 350:254 351:254 352:248 353:74 354:5 375:140 376:254 377:254 378:254 379:254 380:254 381:254 382:202 383:125 384:45 403:58 404:181 405:234 406:254 407:254 408:254 409:254 410:254 411:254 412:252 413:140 414:22 433:30 434:50 435:73 436:155 437:253 438:254 439:254 440:254 441:254 442:191 443:2 465:91 466:200 467:254 468:254 469:254 470:254 471:118 494:4 495:192 496:254 497:254 498:254 499:154 523:141 524:254 525:254 526:254 527:116 541:25 542:126 543:86 550:3 551:188 552:254 553:254 554:250 555:61 568:24 569:209 570:254 571:15 577:23 578:137 579:254 580:254 581:254 582:209 596:168 597:254 598:254 599:48 600:9 603:9 604:127 605:241 606:254 607:254 608:255 609:242 610:63 624:101 625:254 626:254 627:254 628:205 629:190 630:190 631:205 632:254 633:254 634:254 635:254 636:242 637:67 652:33 653:166 654:254 655:254 656:254 657:254 658:254 659:254 660:254 661:254 662:250 663:138 664:55 681:7 682:88 683:154 684:116 685:194 686:194 687:154 688:154 689:88 690:49
+6 73:38 74:222 75:225 100:147 101:234 102:252 103:176 126:23 127:197 128:253 129:252 130:208 131:19 153:38 154:178 155:252 156:253 157:117 158:65 181:57 182:252 183:252 184:253 185:89 208:38 209:222 210:253 211:253 212:79 236:131 237:252 238:179 239:27 263:198 264:246 265:220 266:37 290:79 291:253 292:252 293:135 294:28 317:16 318:140 319:253 320:252 321:118 326:111 327:140 328:140 345:13 346:191 347:255 348:253 349:56 352:114 353:113 354:222 355:253 356:253 357:255 358:27 373:76 374:252 375:253 376:223 377:37 379:48 380:174 381:252 382:252 383:242 384:214 385:253 386:199 387:31 400:13 401:109 402:252 403:228 404:130 406:38 407:165 408:253 409:233 410:164 411:49 412:63 413:253 414:214 415:31 428:73 429:252 430:252 431:126 433:23 434:178 435:252 436:240 437:148 438:7 439:44 440:215 441:240 442:148 456:119 457:252 458:252 461:197 462:252 463:252 464:63 466:57 467:252 468:252 469:140 484:135 485:253 486:174 488:48 489:229 490:253 491:112 493:38 494:222 495:253 496:112 512:135 513:252 514:173 516:48 517:227 518:252 519:158 520:226 521:234 522:201 523:27 524:12 540:57 541:252 542:252 543:57 544:104 545:240 546:252 547:252 548:253 549:233 550:74 568:51 569:242 570:252 571:253 572:252 573:252 574:252 575:252 576:240 577:148 597:75 598:189 599:253 600:252 601:252 602:157 603:112 604:63
+1 152:1 153:168 154:242 155:28 180:10 181:228 182:254 183:100 209:190 210:254 211:122 237:83 238:254 239:162 265:29 266:254 267:248 268:25 293:29 294:255 295:254 296:103 321:29 322:254 323:254 324:109 349:29 350:254 351:254 352:109 377:29 378:254 379:254 380:109 405:29 406:255 407:254 408:109 433:29 434:254 435:254 436:109 461:29 462:254 463:254 464:63 489:29 490:254 491:254 492:28 517:29 518:254 519:254 520:28 545:29 546:254 547:254 548:35 573:29 574:254 575:254 576:109 601:6 602:212 603:254 604:109 630:203 631:254 632:178 658:155 659:254 660:190 686:32 687:199 688:104
+7 212:115 213:121 214:162 215:253 216:253 217:213 237:63 238:107 239:170 240:251 241:252 242:252 243:252 244:252 245:250 246:214 261:25 262:192 263:226 264:226 265:241 266:252 267:253 268:202 269:252 270:252 271:252 272:252 273:252 274:225 288:68 289:223 290:252 291:252 292:252 293:252 294:252 295:39 296:19 297:39 298:65 299:224 300:252 301:252 302:183 316:186 317:252 318:252 319:252 320:245 321:108 322:53 326:150 327:252 328:252 329:220 330:20 343:70 344:242 345:252 346:252 347:222 348:59 354:178 355:252 356:252 357:141 371:185 372:252 373:252 374:194 375:67 380:17 381:90 382:240 383:252 384:194 385:67 399:83 400:205 401:190 402:24 408:121 409:252 410:252 411:209 412:24 435:77 436:247 437:252 438:248 439:106 463:253 464:252 465:252 466:102 490:134 491:255 492:253 493:253 494:39 517:6 518:183 519:253 520:252 521:107 522:2 544:10 545:102 546:252 547:253 548:163 549:16 571:13 572:168 573:252 574:252 575:110 576:2 599:41 600:252 601:252 602:217 626:40 627:155 628:252 629:214 630:31 654:165 655:252 656:252 657:106 681:43 682:179 683:252 684:150 685:39 709:137 710:252 711:221 712:39 737:67 738:252 739:79
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+1 128:20 129:212 130:97 156:113 157:254 158:64 184:171 185:213 186:9 211:50 212:248 213:109 239:122 240:254 241:64 267:145 268:206 269:3 294:10 295:220 296:124 322:34 323:254 324:122 350:110 351:254 352:87 378:110 379:255 380:40 406:178 407:203 408:7 433:10 434:227 435:133 461:67 462:254 463:133 489:98 490:254 491:130 517:98 518:254 519:52 545:98 546:254 547:52 573:98 574:254 575:52 601:98 602:239 603:24 629:98 630:243 631:79 657:72 658:245 659:65
+2 124:88 125:241 126:163 127:163 128:53 152:191 153:253 154:253 155:253 156:249 157:216 158:125 179:108 180:250 181:234 182:216 183:229 184:254 185:253 186:248 187:92 207:99 208:253 209:152 211:20 212:54 213:142 214:240 215:228 216:52 235:228 236:214 237:11 241:16 242:195 243:241 244:26 262:27 263:255 264:134 270:128 271:254 272:72 290:26 291:254 292:198 293:46 298:115 299:249 300:89 318:13 319:127 320:22 325:60 326:248 327:235 352:58 353:230 354:253 355:130 379:33 380:137 381:253 382:240 383:61 406:32 407:170 408:255 409:238 410:58 434:109 435:253 436:254 437:115 456:32 457:198 458:152 459:128 460:128 461:128 462:213 463:253 464:159 465:22 484:128 485:253 486:253 487:254 488:253 489:253 490:253 491:188 512:95 513:253 514:253 515:254 516:253 517:253 518:253 519:253 520:124 521:7 540:27 541:238 542:254 543:255 544:254 545:217 546:212 547:254 548:255 549:102 569:92 570:198 571:199 572:95 573:9 574:14 575:192 576:254 577:249 578:222 579:103 603:13 604:95 605:231 606:253 607:250 608:185 609:59 633:51 634:192 635:253 636:253 637:238 638:116 639:16 662:11 663:118 664:253 665:254 666:201 667:23
+7 208:97 209:96 210:77 211:118 212:61 228:90 229:138 230:235 231:235 232:235 233:235 234:235 235:235 236:251 237:251 238:248 239:254 240:245 241:235 242:190 243:21 255:140 256:251 257:254 258:254 259:254 260:254 261:254 262:254 263:254 264:254 265:254 266:254 267:254 268:254 269:254 270:254 271:189 272:23 283:226 284:254 285:208 286:199 287:199 288:199 289:199 290:139 291:61 292:61 293:61 294:61 295:61 296:128 297:222 298:254 299:254 300:189 301:21 311:38 312:82 313:13 325:34 326:213 327:254 328:254 329:115 354:84 355:254 356:254 357:234 382:84 383:254 384:254 385:234 409:106 410:157 411:254 412:254 413:243 414:51 432:25 433:117 434:228 435:228 436:228 437:253 438:254 439:254 440:254 441:254 442:240 458:68 459:119 460:220 461:254 462:254 463:254 464:254 465:254 466:254 467:254 468:254 469:254 470:142 484:37 485:187 486:253 487:254 488:254 489:254 490:223 491:206 492:206 493:75 494:68 495:215 496:254 497:254 498:117 511:113 512:219 513:254 514:242 515:227 516:115 517:89 518:31 523:200 524:254 525:241 526:41 539:169 540:254 541:176 542:62 550:48 551:231 552:254 553:234 567:18 568:124 578:84 579:254 580:254 581:166 606:139 607:254 608:238 609:57 633:210 634:250 635:254 636:168 661:242 662:254 663:239 664:57 688:89 689:251 690:241 691:86 715:5 716:206 717:246 718:157 743:4 744:117 745:69
+3 154:31 155:132 156:254 157:253 158:254 159:213 160:82 180:21 181:142 182:233 183:252 184:253 185:252 186:253 187:252 188:223 189:20 207:123 208:254 209:253 210:254 211:253 212:224 213:203 214:203 215:223 216:255 217:213 235:203 236:253 237:252 238:253 239:212 240:20 243:61 244:253 245:252 262:41 263:243 264:224 265:203 266:183 267:41 268:152 269:30 272:255 273:253 274:102 291:40 292:20 295:102 296:253 297:50 299:82 300:253 301:252 302:20 323:82 324:214 325:31 326:113 327:233 328:254 329:233 348:62 349:102 350:82 351:41 352:253 353:232 354:253 355:252 356:233 357:50 376:152 377:253 378:254 379:253 380:254 381:253 382:254 383:233 384:123 404:152 405:252 406:253 407:252 408:253 409:252 410:192 411:50 432:62 433:183 434:203 435:243 436:254 437:253 438:62 463:40 464:172 465:252 466:203 467:20 483:21 493:183 494:254 495:112 510:62 511:203 512:163 521:61 522:253 523:151 537:21 538:214 539:192 548:11 549:213 550:254 551:151 565:102 566:253 567:151 575:41 576:213 577:252 578:253 579:111 593:41 594:255 595:213 596:92 597:51 600:31 601:92 602:173 603:253 604:254 605:253 606:142 622:172 623:252 624:253 625:252 626:203 627:203 628:233 629:252 630:253 631:252 632:253 633:130 634:20 650:21 651:203 652:255 653:253 654:254 655:253 656:254 657:253 658:244 659:203 660:82 679:20 680:151 681:151 682:253 683:171 684:151 685:151 686:40
+4 179:6 180:195 181:254 182:255 183:239 184:29 206:6 207:163 208:254 209:254 210:175 211:55 212:3 217:23 234:121 235:254 236:254 237:148 238:8 244:140 245:237 246:112 261:43 262:245 263:254 264:242 265:4 271:53 272:236 273:254 274:112 289:164 290:254 291:250 292:64 299:169 300:254 301:249 302:32 317:214 318:254 319:178 322:3 323:9 324:9 325:9 326:44 327:232 328:254 329:165 345:214 346:254 347:185 349:54 350:186 351:254 352:254 353:254 354:254 355:254 356:231 357:43 373:96 374:254 375:250 376:190 377:252 378:254 379:254 380:254 381:254 382:254 383:254 384:130 401:126 402:254 403:254 404:254 405:254 406:199 407:118 408:145 409:254 410:254 411:254 412:78 429:28 430:120 431:120 432:120 433:32 434:3 436:121 437:254 438:254 439:195 440:4 464:110 465:254 466:254 467:85 492:107 493:254 494:252 495:49 520:210 521:254 522:183 547:15 548:224 549:254 550:71 575:69 576:254 577:249 578:53 603:216 604:254 605:236 631:223 632:254 633:190 659:223 660:254 661:187 687:223 688:254 689:249 690:126 715:114 716:238 717:254 718:124
+6 100:2 101:142 102:250 103:52 127:22 128:152 129:254 130:254 131:85 154:25 155:142 156:254 157:254 158:193 159:30 181:4 182:147 183:254 184:254 185:147 186:6 209:138 210:254 211:254 212:151 236:128 237:253 238:254 239:146 240:5 263:56 264:236 265:254 266:151 267:2 291:185 292:254 293:177 294:27 319:230 320:254 321:77 346:75 347:254 348:171 349:1 374:156 375:254 376:89 384:2 402:175 403:254 404:70 410:57 411:160 412:187 413:18 429:17 430:242 431:254 432:70 436:11 437:215 438:248 439:254 440:254 441:159 457:21 458:254 459:254 460:70 463:89 464:205 465:254 466:254 467:254 468:254 469:174 485:11 486:215 487:254 488:70 489:14 490:101 491:254 492:254 493:254 494:254 495:254 496:254 497:164 514:175 515:254 516:200 517:221 518:254 519:254 520:254 521:254 522:254 523:254 524:205 525:22 542:73 543:251 544:254 545:254 546:254 547:254 548:254 549:254 550:252 551:152 552:22 571:230 572:254 573:254 574:254 575:254 576:253 577:164 578:76 599:230 600:254 601:156 602:110 603:11 604:9 627:230 628:109 629:3
\ No newline at end of file
diff --git a/MachineLearning/neural_network/multi_layer_NN.py b/MachineLearning/neural_network/multi_layer_NN.py
new file mode 100644
index 00000000..06e45af0
--- /dev/null
+++ b/MachineLearning/neural_network/multi_layer_NN.py
@@ -0,0 +1,68 @@
+'''
+This is simple code for building multilayer neural network (NN) using Keras Sequential API
+'''
+from keras.models import Sequential
+from keras.layers import Dense, Activation
+from keras.optimizers import SGD
+from keras.models import Model
+
+from sklearn.datasets import load_svmlight_file
+from sklearn import preprocessing
+from sklearn.model_selection import train_test_split
+from keras.utils.vis_utils import plot_model
+
+import numpy as np
+
+#convert [0,3,1] to one-hot vector -> [[1, 0, ...],[0, 0, 0, 1, ...],[0, 1, 0, ...]]
+def toOneHot(np_array1d, n_labels):
+    np_array1d = np_array1d.astype(int)
+    np_array2d = np.zeros((np_array1d.shape[0], n_labels))
+    np_array2d[np.arange(np_array1d.shape[0]), np_array1d] = 1
+    return np_array2d
+
+#load dataset in svmlib format
+X, y = load_svmlight_file("data.txt")
+X = X.toarray()
+y = toOneHot(y, 10)
+
+#scaling to [0,1]
+min_max_scaler = preprocessing.MinMaxScaler()
+X_scaled = min_max_scaler.fit_transform(X)
+
+#split train-testing
+X_train, X_test, Y_train, Y_test = train_test_split(X_scaled, y, test_size=0.3)
+
+model = Sequential()
+
+model.add(Dense(output_dim=256, input_dim=779))
+model.add(Activation("relu"))
+
+model.add(Dense(output_dim=64))
+model.add(Activation("relu"))
+
+model.add(Dense(output_dim=10))
+model.add(Activation("softmax"))
+
+model.compile(loss='categorical_crossentropy', \
+              optimizer=SGD(lr=0.01, momentum=0.9, nesterov=True), \
+              metrics=['accuracy'])
+
+model.fit(X_train, Y_train, \
+          nb_epoch=25, \
+          batch_size=32, \
+          verbose=1, \
+          validation_data=(X_test, Y_test))
+
+loss_and_metrics = model.evaluate(X_test, Y_test, batch_size=32)
+print (loss_and_metrics)
+
+classes = model.predict_classes(X_test, batch_size=32)
+proba = model.predict_proba(X_test, batch_size=32)
+json_string = model.to_json()
+print(json_string)
+
+weights = model.get_weights()
+print(weights)
+
+plot_model(model, to_file='model.png')
+model.save_weights('parameter_model.h5')
\ No newline at end of file
diff --git a/Matching/GaleShapley/galeshapley.cpp b/Matching/GaleShapley/galeshapley.cpp
new file mode 100644
index 00000000..b5a39c54
--- /dev/null
+++ b/Matching/GaleShapley/galeshapley.cpp
@@ -0,0 +1,93 @@
+// Algorithm to find stable matching of companies and students where companies and students both provide their preference list and all matchings are stable
+// Implementation of Gale-Shapley Algorithm
+#include<bits/stdc++.h>
+using namespace std;
+// Funtion to check if found match is stable or not
+bool check_pair(int student, int match, vector<int> stud_list, vector<int> com_list, unordered_map<int, int> &m) {
+    int current = m[match];
+    int index_cur;
+    int index_stud;
+    for (int i = 0; i < stud_list.size(); i++) {
+        if (com_list[i] == current) 
+            index_cur = i;
+        if (com_list[i] == student)
+            index_stud = i;
+    }
+    if (index_stud>index_cur)
+        return false;
+    else return true;
+}
+// Function to find appropriate match for a student
+int find_pair(int student, vector<int> stud_list, vector<vector<int>> com_list, unordered_map<int, int> &m) {
+    int i = 0;
+    while (i<stud_list.size()){
+        int match = stud_list[i];
+        if (m.find(match) == m.end()) {
+            return match;
+        } else {
+            if (check_pair(student, match, stud_list, com_list[match-1], m)) {
+               m[match] = student;
+               return match;
+            } else {
+                i++;
+            }
+        }
+    }
+}
+// Function to implement Gale-Shapley Algorithm
+vector<pair<int, int>> Matcher(vector<vector<int>> stud_list, vector<vector<int>> com_list) {
+    unordered_map<int, int> m;
+    vector<pair<int, int>> matches;
+    int i =0, j =0;
+    int match;
+    while(m.size()<stud_list.size()) {
+        match = find_pair(i+1, stud_list[i], com_list, m);
+        //cout <<  "debug " << i+1 << " " <<match << endl;
+        m[match] = i+1;
+        i = (i+1)%stud_list.size();
+    }
+    for (auto i = m.begin(); i != m.end(); i++) {
+        matches.push_back(make_pair(i->second, i->first));
+    }
+    return matches;
+}
+// Comparator Function
+bool comp(pair<int, int> i, pair<int, int> j) {
+    return (i.first<j.first);
+}
+int main() {
+    //initializing the preference list
+    vector<vector<int>> stud_list;
+    vector<vector<int>> com_list;
+    vector<int> temp;
+    int tem;
+    int no_stud, no_com;
+    cout << "Enter no. of students and companies\n";
+    cin >> no_stud >> no_com;
+    cout << "Enter preference list of students\n";
+    for (int i = 0; i< no_stud; i++) {
+        for(int j =0; j<no_com; j++) {
+            cin >> tem;
+            temp.push_back(tem);
+        }
+        stud_list.push_back(temp);
+        temp.clear();
+    }
+    cout << "Enter preference list of companies\n";
+    for (int i = 0; i< no_com; i++) {
+        for(int j =0; j<no_stud; j++) {
+            cin >> tem;
+            temp.push_back(tem);
+        }
+        com_list.push_back(temp);
+        temp.clear();
+    }
+    cout << "Placing students...\n";
+    vector<pair<int, int>> matches(no_stud, make_pair(0, 0));
+    matches = Matcher(stud_list, com_list);
+    sort(matches.begin(), matches.end(), comp);
+    // Printing the Matched students
+    for (auto i = matches.begin(); i != matches.end();i++) {
+        cout << "Student: " << i->first << " is placed in " << "Company: " <<i->second <<endl;
+    }
+}
diff --git a/Math/EulerTotientFunction/C++/eulerFunction.cpp b/Math/EulerTotientFunction/C++/eulerFunction.cpp
new file mode 100644
index 00000000..14478dd6
--- /dev/null
+++ b/Math/EulerTotientFunction/C++/eulerFunction.cpp
@@ -0,0 +1,23 @@
+#include <iostream>
+using namespace std;
+
+int phi(int n) {
+    int result = n;
+    for (int i = 2; i * i <= n; i++) {
+        if(n % i == 0) {
+            while(n % i == 0)
+                n /= i;
+            result -= result / i;
+        }
+    }
+    if(n > 1)
+        result -= result / n;
+    return result;
+}
+
+int main()
+{
+  int n;
+  cin >> n;
+  cout << "The number of coprimes less than n are " << phi(n) << endl;
+}
diff --git a/Math/Factorization/trial_division.cpp b/Math/Factorization/trial_division.cpp
new file mode 100644
index 00000000..4efe4324
--- /dev/null
+++ b/Math/Factorization/trial_division.cpp
@@ -0,0 +1,27 @@
+#include <vector>
+#include <iostream>
+using namespace std;
+
+// Input = Number to be factorized
+// Output = factors
+
+vector<long long> trial_division1(long long n) {
+    vector<long long> factorization;
+    for (long long d = 2; d * d <= n; d++) {
+        while (n % d == 0) {
+            factorization.push_back(d);
+            n /= d;
+        }
+    }
+    if (n > 1)
+        factorization.push_back(n);
+    return factorization;
+}
+
+int main() {
+  vector<long long> factors = trial_division1(55);
+  for (int factor : factors) {
+    cout << factor << " ";
+  }
+  return 0;
+}
\ No newline at end of file
diff --git a/Math/Matrices/rank.cpp b/Math/Matrices/rank.cpp
new file mode 100644
index 00000000..1070ac77
--- /dev/null
+++ b/Math/Matrices/rank.cpp
@@ -0,0 +1,65 @@
+#include <vector>
+#include <cmath>
+#include <iostream>
+using namespace std;
+
+const double EPS = 1E-9;
+
+const int INF = 2; // it doesn't actually have to be infinity or a big number
+
+int gauss (vector < vector<double> > a, vector<double> & ans) {
+    int n = (int) a.size();
+    int m = (int) a[0].size() - 1;
+
+    vector<int> where (m, -1);
+    for (int col=0, row=0; col<m && row<n; ++col) {
+        int sel = row;
+        for (int i=row; i<n; ++i)
+            if (abs (a[i][col]) > abs (a[sel][col]))
+                sel = i;
+        if (abs (a[sel][col]) < EPS)
+            continue;
+        for (int i=col; i<=m; ++i)
+            swap (a[sel][i], a[row][i]);
+        where[col] = row;
+
+        for (int i=0; i<n; ++i)
+            if (i != row) {
+                double c = a[i][col] / a[row][col];
+                for (int j=col; j<=m; ++j)
+                    a[i][j] -= a[row][j] * c;
+            }
+        ++row;
+    }
+
+    ans.assign (m, 0);
+    for (int i=0; i<m; ++i)
+        if (where[i] != -1)
+            ans[i] = a[where[i]][m] / a[where[i]][i];
+    for (int i=0; i<n; ++i) {
+        double sum = 0;
+        for (int j=0; j<m; ++j)
+            sum += ans[j] * a[i][j];
+        if (abs (sum - a[i][m]) > EPS)
+            return 0;
+    }
+
+    for (int i=0; i<m; ++i)
+        if (where[i] == -1)
+            return INF;
+    return 1;
+}
+
+int main() {
+  vector<int> ans;
+  cout << gauss(
+  {
+    {-5, -6, 4},
+    {-8, -7, -9},
+    {-6, 1, 2},
+  },
+  ans
+  );
+  for (int i : ans) cout << i " ";
+  return 0;
+}
\ No newline at end of file
diff --git a/Math/Sieve of Eratosthenes/golang/sieveOfErathosthenes.go b/Math/Sieve of Eratosthenes/golang/sieveOfErathosthenes.go
new file mode 100644
index 00000000..b7dd460a
--- /dev/null
+++ b/Math/Sieve of Eratosthenes/golang/sieveOfErathosthenes.go	
@@ -0,0 +1,29 @@
+package main
+
+import "fmt"
+
+var MAXN int = 1000
+
+func Sieve() {
+  prime := make([]bool, MAXN)
+  for i, _ := range prime {
+    prime[i] = true
+  }
+  for i := 2; i < MAXN; i += 1{
+    for j := i; i*j < MAXN; j += 1 {
+      prime[i*j] = false;
+    }
+  }
+  for i, flag := range prime {
+    if (flag == true && i > 1) {
+      fmt.Println(i)
+    }
+  }
+}
+
+//execution starts here
+
+func main(){
+  fmt.Println("This program prints all the prime numbers from 2 to MAXN")
+  Sieve()
+}
diff --git a/Math/catalan number/catalan_no.cpp b/Math/catalan number/catalan_no.cpp
new file mode 100644
index 00000000..bd1a0a44
--- /dev/null
+++ b/Math/catalan number/catalan_no.cpp	
@@ -0,0 +1,43 @@
+//This program uses the Mathematical definition of nth Catalan number
+//nth catalan_no = C(2*n,n)/(n+1)
+
+#include<iostream>
+using namespace std;
+#define MAXN 20
+
+// Function to Calculate value of Binomial Coefficient C(n, k)
+long long binomialCoefficient(long long n, long long k)
+{
+	long long result = 1;
+
+	// Since C(n, k) = C(n, n-k)
+	if (k > n - k)
+		k = n - k;
+
+	// Calculation of [n*(n-1)*---*(n-k+1)] / [k*(k-1)*---*1]
+	for (int i = 0; i < k; ++i)
+	{
+		result *= (n - i);
+		result /= (i + 1);
+	}
+
+	return result;
+}
+
+// A Binomial coefficient based function to find nth catalan
+// number in O(n) time
+long long catalan_no(long long n)
+{
+	// Calculate value of 2nCn
+	long long c = binomialCoefficient(2*n, n);
+
+	// return 2nCn/(n+1)
+	return c/(n+1);
+}
+
+int main()
+{
+	for (int i = 0; i < MAXN; i++)
+		cout << catalan_no(i) << " ";
+	return 0;
+}
diff --git a/Math/catalan number/catalan_number.rb b/Math/catalan number/catalan_number.rb
new file mode 100644
index 00000000..174f0e12
--- /dev/null
+++ b/Math/catalan number/catalan_number.rb	
@@ -0,0 +1,20 @@
+def catalan(num)
+  return 1 if num <= 1
+  ans = 0
+  i = 0
+
+  while i < num
+    first = catalan i
+    second = catalan num - i - 1
+    ans += (first * second)
+    i += 1
+  end
+  ans
+end
+
+Integer x = 1
+while x <= 10
+  res = catalan x
+  puts res
+  x += 1
+end
diff --git a/Math/catalan number/catalan_number.scala b/Math/catalan number/catalan_number.scala
new file mode 100644
index 00000000..dea5894b
--- /dev/null
+++ b/Math/catalan number/catalan_number.scala	
@@ -0,0 +1,30 @@
+
+object Catalan {
+    def number(n: Int): BigInt = {
+        if (n < 2) {
+            1
+        }
+        else {
+            val (top, bottom) = (2 to n).foldLeft((BigInt(1), BigInt(1))) { 
+                    case ((topProd: BigInt, bottomProd: BigInt), k: Int) => (topProd * (n + k), bottomProd * k) 
+                }
+            top / bottom
+        }
+    }
+
+    // to test
+    // var c = catalan(3)
+    // println(c)
+    def recursive(n: Int): Int = {
+        if (n <= 1) 1
+        else (0 until n).map(i => recursive(i) * recursive(n - i - 1)).sum
+    }
+}
+
+object Main {
+    def main(args: Array[String]): Unit = {
+        for (n <- 0 until 20) {
+            println(s"${n}: ${Catalan.number(n)}")
+        }
+    }
+}
diff --git a/Math/catalan number/catalan_number_dynamic.cpp b/Math/catalan number/catalan_number_dynamic.cpp
new file mode 100644
index 00000000..6c15cfb6
--- /dev/null
+++ b/Math/catalan number/catalan_number_dynamic.cpp	
@@ -0,0 +1,20 @@
+#include <iostream>
+#include<bits/stdc++.h>
+using namespace std;
+
+
+int main()
+{
+    int n;
+    cin >> n;
+
+    double cat[100000];
+    cat[0] = 1;
+    cout << cat[0];
+
+    for (int i = 1; i <= n; i++)
+    {
+        cat[i] = 2 * (4 * i + 1) * cat[i - 1] / (i + 2);
+        cout << cat[i] << endl;
+    }
+}
diff --git a/MaxProductArray/Python/max_product_subarray.py b/MaxProductArray/Python/max_product_subarray.py
new file mode 100644
index 00000000..8733e342
--- /dev/null
+++ b/MaxProductArray/Python/max_product_subarray.py
@@ -0,0 +1,34 @@
+def max_subarray_product(arr, n):
+    max_ending_here = 1
+    min_ending_here = 1
+    max_so_far = 1
+    flag = 0
+    for i in range(0, n):
+        if arr[i] > 0:
+            max_ending_here = max_ending_here * arr[i]
+            min_ending_here = min(min_ending_here * arr[i], 1)
+            flag = 1
+        elif arr[i] == 0:
+            max_ending_here = 1
+            min_ending_here = 1
+        else:
+            temp = max_ending_here
+            max_ending_here = max(min_ending_here * arr[i], 1)
+            min_ending_here = temp * arr[i]
+
+        if max_so_far < max_ending_here:
+            max_so_far = max_ending_here
+    if flag == 0 and max_so_far == 1:
+        return 0
+    return max_so_far
+
+
+if __name__ == "__main__":
+    arr = [1, -2, -3, 0, 7, -8, -2]
+    n = len(arr)
+    print("Maximum Sub array product is: ", end='')
+    if n > 0:
+        ans = max_subarray_product(arr, n)
+        print(ans, end='')
+    else:
+        print(0)
diff --git a/Merge-String b/Merge-String
new file mode 100644
index 00000000..6069c2a8
--- /dev/null
+++ b/Merge-String
@@ -0,0 +1,103 @@
+/*input
+1
+4 4
+abab
+baba
+*/
+
+
+/* 
+	Merging two strings into one string such that :
+	1. For each string, their character occurs in the same relative order in Merged string as it occurs in the base strings, 
+	2. The minimum number of blocks consisting of consecutive identical characters is minimum in Merged string. 
+*/
+
+
+#include<bits/stdc++.h>
+
+using namespace std;
+
+typedef unsigned long long int ll;
+typedef long int ln;
+#define s(x) scanf("%d", &x)
+#define loop(i, n) for(i =0 ; i<n ;i++)
+
+
+int fun(char s[], char str[],int n, int m)
+{
+	int a[m+1][n+1];
+   	for(int i =0; i<=n  ;i ++)
+   	{
+	   a[0][i]= i;  
+	}
+
+    for(int i =1; i<=m  ;i ++)
+    {
+	   a[i][0]= i;
+    }
+
+    for(int i =1; i<= m ; i++)
+    {
+        for(int j =1 ; j<= n; j++)
+        {
+            if( str [i-1] == s[j-1] )
+                a[i][j] = min(a[i][j-1], min(a[i-1][j], a[i-1][j-1])) +1;
+            if( str [i-1] != s[j-1] )
+                a[i][j]= min (a[i][j-1], a[i-1][j])+1;
+
+   		}
+    }
+    return a[m][n];
+}
+
+int main()
+{
+    int t;
+    cin >> t;
+    while(t--)
+    {
+        int n,m , i ,j;
+        cin >> n>> m;
+        string x,b;
+        cin >>x>>b;
+        int k =1;
+        for ( i =1; i< n; i++)
+        {
+            if( x[i] != x[i-1])
+                k++;
+        }
+        n=k;
+        char s[n];
+        s[0]=x[0];k=1;
+        for ( i =1; i< x.size(); i++)
+        {
+            if( x[i] != x[i-1])
+            {
+               s[k]=x[i];
+               k++;
+            }
+        }
+
+        k =1;
+        for ( i =1; i< m; i++)
+        {
+           if( b[i] != b[i-1])
+            k++;
+        }
+        m=k;
+        char str[k];
+        str[0]=b[0];k=1;
+	        for ( i =1; i< b.size(); i++)
+        {
+            if( b[i] != b[i-1])
+            {
+               str[k]=b[i];
+               k++;
+            }
+        }
+
+		int ans = fun(s, str, n, m);           
+        cout<<ans<<endl;
+    }
+    return 0;
+}
diff --git a/ModernCiphers/AES/C++/AES_128_ECB.cpp b/ModernCiphers/AES/C++/AES_128_ECB.cpp
index b7229911..1e8c13c9 100644
--- a/ModernCiphers/AES/C++/AES_128_ECB.cpp
+++ b/ModernCiphers/AES/C++/AES_128_ECB.cpp
@@ -1,625 +1,625 @@
-#include <bits/stdc++.h>
-#define KEY_SIZE 128
-#define INPUT_SIZE 128
-#define BYTE_SIZE 8
-#define WORD_SIZE 32
-using namespace std;
-
-bitset<BYTE_SIZE> SubByteTable[16][16] = {    
-    {bitset<BYTE_SIZE>(0x63), bitset<BYTE_SIZE>(0x7C), bitset<BYTE_SIZE>(0x77), bitset<BYTE_SIZE>(0x7B), bitset<BYTE_SIZE>(0xF2), bitset<BYTE_SIZE>(0x6B), bitset<BYTE_SIZE>(0x6F), bitset<BYTE_SIZE>(0xC5), bitset<BYTE_SIZE>(0x30), bitset<BYTE_SIZE>(0x01), bitset<BYTE_SIZE>(0x67), bitset<BYTE_SIZE>(0x2B), bitset<BYTE_SIZE>(0xFE), bitset<BYTE_SIZE>(0xD7), bitset<BYTE_SIZE>(0xAB), bitset<BYTE_SIZE>(0x76)},
-    {bitset<BYTE_SIZE>(0xCA), bitset<BYTE_SIZE>(0x82), bitset<BYTE_SIZE>(0xC9), bitset<BYTE_SIZE>(0x7D), bitset<BYTE_SIZE>(0xFA), bitset<BYTE_SIZE>(0x59), bitset<BYTE_SIZE>(0x47), bitset<BYTE_SIZE>(0xF0), bitset<BYTE_SIZE>(0xAD), bitset<BYTE_SIZE>(0xD4), bitset<BYTE_SIZE>(0xA2), bitset<BYTE_SIZE>(0xAF), bitset<BYTE_SIZE>(0x9C), bitset<BYTE_SIZE>(0xA4), bitset<BYTE_SIZE>(0x72), bitset<BYTE_SIZE>(0xC0)},
-    {bitset<BYTE_SIZE>(0xB7), bitset<BYTE_SIZE>(0xFD), bitset<BYTE_SIZE>(0x93), bitset<BYTE_SIZE>(0x26), bitset<BYTE_SIZE>(0x36), bitset<BYTE_SIZE>(0x3F), bitset<BYTE_SIZE>(0xF7), bitset<BYTE_SIZE>(0xCC), bitset<BYTE_SIZE>(0x34), bitset<BYTE_SIZE>(0xA5), bitset<BYTE_SIZE>(0xE5), bitset<BYTE_SIZE>(0xF1), bitset<BYTE_SIZE>(0x71), bitset<BYTE_SIZE>(0xD8), bitset<BYTE_SIZE>(0x31), bitset<BYTE_SIZE>(0x15)},
-    {bitset<BYTE_SIZE>(0x04), bitset<BYTE_SIZE>(0xC7), bitset<BYTE_SIZE>(0x23), bitset<BYTE_SIZE>(0xC3), bitset<BYTE_SIZE>(0x18), bitset<BYTE_SIZE>(0x96), bitset<BYTE_SIZE>(0x05), bitset<BYTE_SIZE>(0x9A), bitset<BYTE_SIZE>(0x07), bitset<BYTE_SIZE>(0x12), bitset<BYTE_SIZE>(0x80), bitset<BYTE_SIZE>(0xE2), bitset<BYTE_SIZE>(0xEB), bitset<BYTE_SIZE>(0x27), bitset<BYTE_SIZE>(0xB2), bitset<BYTE_SIZE>(0x75)},
-    {bitset<BYTE_SIZE>(0x09), bitset<BYTE_SIZE>(0x83), bitset<BYTE_SIZE>(0x2C), bitset<BYTE_SIZE>(0x1A), bitset<BYTE_SIZE>(0x1B), bitset<BYTE_SIZE>(0x6E), bitset<BYTE_SIZE>(0x5A), bitset<BYTE_SIZE>(0xA0), bitset<BYTE_SIZE>(0x52), bitset<BYTE_SIZE>(0x3B), bitset<BYTE_SIZE>(0xD6), bitset<BYTE_SIZE>(0xB3), bitset<BYTE_SIZE>(0x29), bitset<BYTE_SIZE>(0xE3), bitset<BYTE_SIZE>(0x2F), bitset<BYTE_SIZE>(0x84)},
-    {bitset<BYTE_SIZE>(0x53), bitset<BYTE_SIZE>(0xD1), bitset<BYTE_SIZE>(0x00), bitset<BYTE_SIZE>(0xED), bitset<BYTE_SIZE>(0x20), bitset<BYTE_SIZE>(0xFC), bitset<BYTE_SIZE>(0xB1), bitset<BYTE_SIZE>(0x5B), bitset<BYTE_SIZE>(0x6A), bitset<BYTE_SIZE>(0xCB), bitset<BYTE_SIZE>(0xBE), bitset<BYTE_SIZE>(0x39), bitset<BYTE_SIZE>(0x4A), bitset<BYTE_SIZE>(0x4C), bitset<BYTE_SIZE>(0x58), bitset<BYTE_SIZE>(0xCF)},
-    {bitset<BYTE_SIZE>(0xD0), bitset<BYTE_SIZE>(0xEF), bitset<BYTE_SIZE>(0xAA), bitset<BYTE_SIZE>(0xFB), bitset<BYTE_SIZE>(0x43), bitset<BYTE_SIZE>(0x4D), bitset<BYTE_SIZE>(0x33), bitset<BYTE_SIZE>(0x85), bitset<BYTE_SIZE>(0x45), bitset<BYTE_SIZE>(0xF9), bitset<BYTE_SIZE>(0x02), bitset<BYTE_SIZE>(0x7F), bitset<BYTE_SIZE>(0x50), bitset<BYTE_SIZE>(0x3C), bitset<BYTE_SIZE>(0x9F), bitset<BYTE_SIZE>(0xA8)},
-    {bitset<BYTE_SIZE>(0x51), bitset<BYTE_SIZE>(0xA3), bitset<BYTE_SIZE>(0x40), bitset<BYTE_SIZE>(0x8F), bitset<BYTE_SIZE>(0x92), bitset<BYTE_SIZE>(0x9D), bitset<BYTE_SIZE>(0x38), bitset<BYTE_SIZE>(0xF5), bitset<BYTE_SIZE>(0xBC), bitset<BYTE_SIZE>(0xB6), bitset<BYTE_SIZE>(0xDA), bitset<BYTE_SIZE>(0x21), bitset<BYTE_SIZE>(0x10), bitset<BYTE_SIZE>(0xFF), bitset<BYTE_SIZE>(0xF3), bitset<BYTE_SIZE>(0xD2)},
-    {bitset<BYTE_SIZE>(0xCD), bitset<BYTE_SIZE>(0x0C), bitset<BYTE_SIZE>(0x13), bitset<BYTE_SIZE>(0xEC), bitset<BYTE_SIZE>(0x5F), bitset<BYTE_SIZE>(0x97), bitset<BYTE_SIZE>(0x44), bitset<BYTE_SIZE>(0x17), bitset<BYTE_SIZE>(0xC4), bitset<BYTE_SIZE>(0xA7), bitset<BYTE_SIZE>(0x7E), bitset<BYTE_SIZE>(0x3D), bitset<BYTE_SIZE>(0x64), bitset<BYTE_SIZE>(0x5D), bitset<BYTE_SIZE>(0x19), bitset<BYTE_SIZE>(0x73)},
-    {bitset<BYTE_SIZE>(0x60), bitset<BYTE_SIZE>(0x81), bitset<BYTE_SIZE>(0x4F), bitset<BYTE_SIZE>(0xDC), bitset<BYTE_SIZE>(0x22), bitset<BYTE_SIZE>(0x2A), bitset<BYTE_SIZE>(0x90), bitset<BYTE_SIZE>(0x88), bitset<BYTE_SIZE>(0x46), bitset<BYTE_SIZE>(0xEE), bitset<BYTE_SIZE>(0xB8), bitset<BYTE_SIZE>(0x14), bitset<BYTE_SIZE>(0xDE), bitset<BYTE_SIZE>(0x5E), bitset<BYTE_SIZE>(0x0B), bitset<BYTE_SIZE>(0xDB)},
-    {bitset<BYTE_SIZE>(0xE0), bitset<BYTE_SIZE>(0x32), bitset<BYTE_SIZE>(0x3A), bitset<BYTE_SIZE>(0x0A), bitset<BYTE_SIZE>(0x49), bitset<BYTE_SIZE>(0x06), bitset<BYTE_SIZE>(0x24), bitset<BYTE_SIZE>(0x5C), bitset<BYTE_SIZE>(0xC2), bitset<BYTE_SIZE>(0xD3), bitset<BYTE_SIZE>(0xAC), bitset<BYTE_SIZE>(0x62), bitset<BYTE_SIZE>(0x91), bitset<BYTE_SIZE>(0x95), bitset<BYTE_SIZE>(0xE4), bitset<BYTE_SIZE>(0x79)},
-    {bitset<BYTE_SIZE>(0xE7), bitset<BYTE_SIZE>(0xC8), bitset<BYTE_SIZE>(0x37), bitset<BYTE_SIZE>(0x6D), bitset<BYTE_SIZE>(0x8D), bitset<BYTE_SIZE>(0xD5), bitset<BYTE_SIZE>(0x4E), bitset<BYTE_SIZE>(0xA9), bitset<BYTE_SIZE>(0x6C), bitset<BYTE_SIZE>(0x56), bitset<BYTE_SIZE>(0xF4), bitset<BYTE_SIZE>(0xEA), bitset<BYTE_SIZE>(0x65), bitset<BYTE_SIZE>(0x7A), bitset<BYTE_SIZE>(0xAE), bitset<BYTE_SIZE>(0x08)},
-    {bitset<BYTE_SIZE>(0xBA), bitset<BYTE_SIZE>(0x78), bitset<BYTE_SIZE>(0x25), bitset<BYTE_SIZE>(0x2E), bitset<BYTE_SIZE>(0x1C), bitset<BYTE_SIZE>(0xA6), bitset<BYTE_SIZE>(0xB4), bitset<BYTE_SIZE>(0xC6), bitset<BYTE_SIZE>(0xE8), bitset<BYTE_SIZE>(0xDD), bitset<BYTE_SIZE>(0x74), bitset<BYTE_SIZE>(0x1F), bitset<BYTE_SIZE>(0x4B), bitset<BYTE_SIZE>(0xBD), bitset<BYTE_SIZE>(0x8B), bitset<BYTE_SIZE>(0x8A)},
-    {bitset<BYTE_SIZE>(0x70), bitset<BYTE_SIZE>(0x3E), bitset<BYTE_SIZE>(0xB5), bitset<BYTE_SIZE>(0x66), bitset<BYTE_SIZE>(0x48), bitset<BYTE_SIZE>(0x03), bitset<BYTE_SIZE>(0xF6), bitset<BYTE_SIZE>(0x0E), bitset<BYTE_SIZE>(0x61), bitset<BYTE_SIZE>(0x35), bitset<BYTE_SIZE>(0x57), bitset<BYTE_SIZE>(0xB9), bitset<BYTE_SIZE>(0x86), bitset<BYTE_SIZE>(0xC1), bitset<BYTE_SIZE>(0x1D), bitset<BYTE_SIZE>(0x9E)},
-    {bitset<BYTE_SIZE>(0xE1), bitset<BYTE_SIZE>(0xF8), bitset<BYTE_SIZE>(0x98), bitset<BYTE_SIZE>(0x11), bitset<BYTE_SIZE>(0x69), bitset<BYTE_SIZE>(0xD9), bitset<BYTE_SIZE>(0x8E), bitset<BYTE_SIZE>(0x94), bitset<BYTE_SIZE>(0x9B), bitset<BYTE_SIZE>(0x1E), bitset<BYTE_SIZE>(0x87), bitset<BYTE_SIZE>(0xE9), bitset<BYTE_SIZE>(0xCE), bitset<BYTE_SIZE>(0x55), bitset<BYTE_SIZE>(0x28), bitset<BYTE_SIZE>(0xDF)},
-    {bitset<BYTE_SIZE>(0x8C), bitset<BYTE_SIZE>(0xA1), bitset<BYTE_SIZE>(0x89), bitset<BYTE_SIZE>(0x0D), bitset<BYTE_SIZE>(0xBF), bitset<BYTE_SIZE>(0xE6), bitset<BYTE_SIZE>(0x42), bitset<BYTE_SIZE>(0x68), bitset<BYTE_SIZE>(0x41), bitset<BYTE_SIZE>(0x99), bitset<BYTE_SIZE>(0x2D), bitset<BYTE_SIZE>(0x0F), bitset<BYTE_SIZE>(0xB0), bitset<BYTE_SIZE>(0x54), bitset<BYTE_SIZE>(0xBB), bitset<BYTE_SIZE>(0x16)}
-};
-
-bitset<BYTE_SIZE> InvSubByteTable[16][16] = {
-    {bitset<BYTE_SIZE>(0x52), bitset<BYTE_SIZE>(0x09), bitset<BYTE_SIZE>(0x6a), bitset<BYTE_SIZE>(0xd5), bitset<BYTE_SIZE>(0x30), bitset<BYTE_SIZE>(0x36), bitset<BYTE_SIZE>(0xa5), bitset<BYTE_SIZE>(0x38), bitset<BYTE_SIZE>(0xbf), bitset<BYTE_SIZE>(0x40), bitset<BYTE_SIZE>(0xa3), bitset<BYTE_SIZE>(0x9e), bitset<BYTE_SIZE>(0x81), bitset<BYTE_SIZE>(0xf3), bitset<BYTE_SIZE>(0xd7), bitset<BYTE_SIZE>(0xfb)},
-    {bitset<BYTE_SIZE>(0x7c), bitset<BYTE_SIZE>(0xe3), bitset<BYTE_SIZE>(0x39), bitset<BYTE_SIZE>(0x82), bitset<BYTE_SIZE>(0x9b), bitset<BYTE_SIZE>(0x2f), bitset<BYTE_SIZE>(0xff), bitset<BYTE_SIZE>(0x87), bitset<BYTE_SIZE>(0x34), bitset<BYTE_SIZE>(0x8e), bitset<BYTE_SIZE>(0x43), bitset<BYTE_SIZE>(0x44), bitset<BYTE_SIZE>(0xc4), bitset<BYTE_SIZE>(0xde), bitset<BYTE_SIZE>(0xe9), bitset<BYTE_SIZE>(0xcb)},
-    {bitset<BYTE_SIZE>(0x54), bitset<BYTE_SIZE>(0x7b), bitset<BYTE_SIZE>(0x94), bitset<BYTE_SIZE>(0x32), bitset<BYTE_SIZE>(0xa6), bitset<BYTE_SIZE>(0xc2), bitset<BYTE_SIZE>(0x23), bitset<BYTE_SIZE>(0x3d), bitset<BYTE_SIZE>(0xee), bitset<BYTE_SIZE>(0x4c), bitset<BYTE_SIZE>(0x95), bitset<BYTE_SIZE>(0x0b), bitset<BYTE_SIZE>(0x42), bitset<BYTE_SIZE>(0xfa), bitset<BYTE_SIZE>(0xc3), bitset<BYTE_SIZE>(0x4e)},
-    {bitset<BYTE_SIZE>(0x08), bitset<BYTE_SIZE>(0x2e), bitset<BYTE_SIZE>(0xa1), bitset<BYTE_SIZE>(0x66), bitset<BYTE_SIZE>(0x28), bitset<BYTE_SIZE>(0xd9), bitset<BYTE_SIZE>(0x24), bitset<BYTE_SIZE>(0xb2), bitset<BYTE_SIZE>(0x76), bitset<BYTE_SIZE>(0x5b), bitset<BYTE_SIZE>(0xa2), bitset<BYTE_SIZE>(0x49), bitset<BYTE_SIZE>(0x6d), bitset<BYTE_SIZE>(0x8b), bitset<BYTE_SIZE>(0xd1), bitset<BYTE_SIZE>(0x25)},
-    {bitset<BYTE_SIZE>(0x72), bitset<BYTE_SIZE>(0xf8), bitset<BYTE_SIZE>(0xf6), bitset<BYTE_SIZE>(0x64), bitset<BYTE_SIZE>(0x86), bitset<BYTE_SIZE>(0x68), bitset<BYTE_SIZE>(0x98), bitset<BYTE_SIZE>(0x16), bitset<BYTE_SIZE>(0xd4), bitset<BYTE_SIZE>(0xa4), bitset<BYTE_SIZE>(0x5c), bitset<BYTE_SIZE>(0xcc), bitset<BYTE_SIZE>(0x5d), bitset<BYTE_SIZE>(0x65), bitset<BYTE_SIZE>(0xb6), bitset<BYTE_SIZE>(0x92)},
-    {bitset<BYTE_SIZE>(0x6c), bitset<BYTE_SIZE>(0x70), bitset<BYTE_SIZE>(0x48), bitset<BYTE_SIZE>(0x50), bitset<BYTE_SIZE>(0xfd), bitset<BYTE_SIZE>(0xed), bitset<BYTE_SIZE>(0xb9), bitset<BYTE_SIZE>(0xda), bitset<BYTE_SIZE>(0x5e), bitset<BYTE_SIZE>(0x15), bitset<BYTE_SIZE>(0x46), bitset<BYTE_SIZE>(0x57), bitset<BYTE_SIZE>(0xa7), bitset<BYTE_SIZE>(0x8d), bitset<BYTE_SIZE>(0x9d), bitset<BYTE_SIZE>(0x84)},
-    {bitset<BYTE_SIZE>(0x90), bitset<BYTE_SIZE>(0xd8), bitset<BYTE_SIZE>(0xab), bitset<BYTE_SIZE>(0x00), bitset<BYTE_SIZE>(0x8c), bitset<BYTE_SIZE>(0xbc), bitset<BYTE_SIZE>(0xd3), bitset<BYTE_SIZE>(0x0a), bitset<BYTE_SIZE>(0xf7), bitset<BYTE_SIZE>(0xe4), bitset<BYTE_SIZE>(0x58), bitset<BYTE_SIZE>(0x05), bitset<BYTE_SIZE>(0xb8), bitset<BYTE_SIZE>(0xb3), bitset<BYTE_SIZE>(0x45), bitset<BYTE_SIZE>(0x06)},
-    {bitset<BYTE_SIZE>(0xd0), bitset<BYTE_SIZE>(0x2c), bitset<BYTE_SIZE>(0x1e), bitset<BYTE_SIZE>(0x8f), bitset<BYTE_SIZE>(0xca), bitset<BYTE_SIZE>(0x3f), bitset<BYTE_SIZE>(0x0f), bitset<BYTE_SIZE>(0x02), bitset<BYTE_SIZE>(0xc1), bitset<BYTE_SIZE>(0xaf), bitset<BYTE_SIZE>(0xbd), bitset<BYTE_SIZE>(0x03), bitset<BYTE_SIZE>(0x01), bitset<BYTE_SIZE>(0x13), bitset<BYTE_SIZE>(0x8a), bitset<BYTE_SIZE>(0x6b)},
-    {bitset<BYTE_SIZE>(0x3a), bitset<BYTE_SIZE>(0x91), bitset<BYTE_SIZE>(0x11), bitset<BYTE_SIZE>(0x41), bitset<BYTE_SIZE>(0x4f), bitset<BYTE_SIZE>(0x67), bitset<BYTE_SIZE>(0xdc), bitset<BYTE_SIZE>(0xea), bitset<BYTE_SIZE>(0x97), bitset<BYTE_SIZE>(0xf2), bitset<BYTE_SIZE>(0xcf), bitset<BYTE_SIZE>(0xce), bitset<BYTE_SIZE>(0xf0), bitset<BYTE_SIZE>(0xb4), bitset<BYTE_SIZE>(0xe6), bitset<BYTE_SIZE>(0x73)},
-    {bitset<BYTE_SIZE>(0x96), bitset<BYTE_SIZE>(0xac), bitset<BYTE_SIZE>(0x74), bitset<BYTE_SIZE>(0x22), bitset<BYTE_SIZE>(0xe7), bitset<BYTE_SIZE>(0xad), bitset<BYTE_SIZE>(0x35), bitset<BYTE_SIZE>(0x85), bitset<BYTE_SIZE>(0xe2), bitset<BYTE_SIZE>(0xf9), bitset<BYTE_SIZE>(0x37), bitset<BYTE_SIZE>(0xe8), bitset<BYTE_SIZE>(0x1c), bitset<BYTE_SIZE>(0x75), bitset<BYTE_SIZE>(0xdf), bitset<BYTE_SIZE>(0x6e)},
-    {bitset<BYTE_SIZE>(0x47), bitset<BYTE_SIZE>(0xf1), bitset<BYTE_SIZE>(0x1a), bitset<BYTE_SIZE>(0x71), bitset<BYTE_SIZE>(0x1d), bitset<BYTE_SIZE>(0x29), bitset<BYTE_SIZE>(0xc5), bitset<BYTE_SIZE>(0x89), bitset<BYTE_SIZE>(0x6f), bitset<BYTE_SIZE>(0xb7), bitset<BYTE_SIZE>(0x62), bitset<BYTE_SIZE>(0x0e), bitset<BYTE_SIZE>(0xaa), bitset<BYTE_SIZE>(0x18), bitset<BYTE_SIZE>(0xbe), bitset<BYTE_SIZE>(0x1b)},
-    {bitset<BYTE_SIZE>(0xfc), bitset<BYTE_SIZE>(0x56), bitset<BYTE_SIZE>(0x3e), bitset<BYTE_SIZE>(0x4b), bitset<BYTE_SIZE>(0xc6), bitset<BYTE_SIZE>(0xd2), bitset<BYTE_SIZE>(0x79), bitset<BYTE_SIZE>(0x20), bitset<BYTE_SIZE>(0x9a), bitset<BYTE_SIZE>(0xdb), bitset<BYTE_SIZE>(0xc0), bitset<BYTE_SIZE>(0xfe), bitset<BYTE_SIZE>(0x78), bitset<BYTE_SIZE>(0xcd), bitset<BYTE_SIZE>(0x5a), bitset<BYTE_SIZE>(0xf4)},
-    {bitset<BYTE_SIZE>(0x1f), bitset<BYTE_SIZE>(0xdd), bitset<BYTE_SIZE>(0xa8), bitset<BYTE_SIZE>(0x33), bitset<BYTE_SIZE>(0x88), bitset<BYTE_SIZE>(0x07), bitset<BYTE_SIZE>(0xc7), bitset<BYTE_SIZE>(0x31), bitset<BYTE_SIZE>(0xb1), bitset<BYTE_SIZE>(0x12), bitset<BYTE_SIZE>(0x10), bitset<BYTE_SIZE>(0x59), bitset<BYTE_SIZE>(0x27), bitset<BYTE_SIZE>(0x80), bitset<BYTE_SIZE>(0xec), bitset<BYTE_SIZE>(0x5f)},
-    {bitset<BYTE_SIZE>(0x60), bitset<BYTE_SIZE>(0x51), bitset<BYTE_SIZE>(0x7f), bitset<BYTE_SIZE>(0xa9), bitset<BYTE_SIZE>(0x19), bitset<BYTE_SIZE>(0xb5), bitset<BYTE_SIZE>(0x4a), bitset<BYTE_SIZE>(0x0d), bitset<BYTE_SIZE>(0x2d), bitset<BYTE_SIZE>(0xe5), bitset<BYTE_SIZE>(0x7a), bitset<BYTE_SIZE>(0x9f), bitset<BYTE_SIZE>(0x93), bitset<BYTE_SIZE>(0xc9), bitset<BYTE_SIZE>(0x9c), bitset<BYTE_SIZE>(0xef)},
-    {bitset<BYTE_SIZE>(0xa0), bitset<BYTE_SIZE>(0xe0), bitset<BYTE_SIZE>(0x3b), bitset<BYTE_SIZE>(0x4d), bitset<BYTE_SIZE>(0xae), bitset<BYTE_SIZE>(0x2a), bitset<BYTE_SIZE>(0xf5), bitset<BYTE_SIZE>(0xb0), bitset<BYTE_SIZE>(0xc8), bitset<BYTE_SIZE>(0xeb), bitset<BYTE_SIZE>(0xbb), bitset<BYTE_SIZE>(0x3c), bitset<BYTE_SIZE>(0x83), bitset<BYTE_SIZE>(0x53), bitset<BYTE_SIZE>(0x99), bitset<BYTE_SIZE>(0x61)},
-    {bitset<BYTE_SIZE>(0x17), bitset<BYTE_SIZE>(0x2b), bitset<BYTE_SIZE>(0x04), bitset<BYTE_SIZE>(0x7e), bitset<BYTE_SIZE>(0xba), bitset<BYTE_SIZE>(0x77), bitset<BYTE_SIZE>(0xd6), bitset<BYTE_SIZE>(0x26), bitset<BYTE_SIZE>(0xe1), bitset<BYTE_SIZE>(0x69), bitset<BYTE_SIZE>(0x14), bitset<BYTE_SIZE>(0x63), bitset<BYTE_SIZE>(0x55), bitset<BYTE_SIZE>(0x21), bitset<BYTE_SIZE>(0x0c), bitset<BYTE_SIZE>(0x7d)}
-};
-
-bitset<4> HexToBinary(char c){
-    bitset<4> retval;
-    switch(c)
-    {
-        case '0': retval = bitset<4>(0x0); break;
-        case '1': retval = bitset<4>(0x1); break;
-        case '2': retval = bitset<4>(0x2); break;
-        case '3': retval = bitset<4>(0x3); break;
-        case '4': retval = bitset<4>(0x4); break;
-        case '5': retval = bitset<4>(0x5); break;
-        case '6': retval = bitset<4>(0x6); break;
-        case '7': retval = bitset<4>(0x7); break;
-        case '8': retval = bitset<4>(0x8); break;
-        case '9': retval = bitset<4>(0x9); break;
-        case 'a': retval = bitset<4>(0xA); break;
-        case 'b': retval = bitset<4>(0xB); break;
-        case 'c': retval = bitset<4>(0xC); break;
-        case 'd': retval = bitset<4>(0xD); break;
-        case 'e': retval = bitset<4>(0xE); break;
-        case 'f': retval = bitset<4>(0xF); break;
-    }
-    return retval;
-}
-
-char BinaryToHex(bitset<4> b)
-{
-    char retval;
-    int int_val = (int) b.to_ulong();
-    switch(int_val)
-    {
-        case 0: retval = '0'; break;
-        case 1: retval = '1'; break;
-        case 2: retval = '2'; break;
-        case 3: retval = '3'; break;
-        case 4: retval = '4'; break;
-        case 5: retval = '5'; break;
-        case 6: retval = '6'; break;
-        case 7: retval = '7'; break;
-        case 8: retval = '8'; break;
-        case 9: retval = '9'; break;
-        case 10: retval = 'a'; break;
-        case 11: retval = 'b'; break;
-        case 12: retval = 'c'; break;
-        case 13: retval = 'd'; break;
-        case 14: retval = 'e'; break;
-        case 15: retval = 'f'; break;
-    }
-    return retval;
-}
-
-int modulo(int a, int n) // Return a mod n
-{
-    if(a >= 0){
-        return a%n;
-    }else{
-        int q = (-a)/n, r = (-a)%n;
-        if(r == 0){
-            return 0;
-        }else{
-            return a + (q+1)*n;
-        }
-    }
-}
-
-int get_degree(bitset<BYTE_SIZE>& polynomial)
-{
-    for(int i = BYTE_SIZE-1; i >=0; i--){
-        if(polynomial.test(i))
-        {
-            return i;
-        }
-    }
-    return 0;
-}
-
-bitset<BYTE_SIZE> polynomial_multiplication(bitset<BYTE_SIZE>& poly1, bitset<BYTE_SIZE>& poly2)
-{
-    bitset<BYTE_SIZE> modulo_polynomial(0b00011011);
-    bitset<BYTE_SIZE> Poly2 = poly2;
-    bitset<BYTE_SIZE> result;
-    bool xor_flag = false;
-    for(int i = 0; i < 8; i++) // Try get_degree()
-    {
-        if(Poly2.test(7)){
-            xor_flag = true;
-        }
-        if(poly1.test(i)){
-            result = result ^ Poly2;
-        }
-        Poly2 = Poly2 << 1;
-        if(xor_flag){
-            Poly2 = Poly2 ^ modulo_polynomial;
-            xor_flag = false;
-        } 
-    }
-    return result;
-}
-
-bitset<8> multiplicative_inverse(bitset<8> input_polynomial)
-{
-    //pass
-}
-
-bitset<WORD_SIZE> RotWord(bitset<WORD_SIZE> input_word)
-{
-    bitset<WORD_SIZE> retval(input_word.to_string().substr(8, 24) + input_word.to_string().substr(0,8));
-    return retval;
-}
-
-bitset<WORD_SIZE> SubWord(bitset<WORD_SIZE> input)
-{
-    string result = "";
-    for(int i = 0; i < WORD_SIZE-1; i+=BYTE_SIZE)
-    {
-        bitset<4> row(input.to_string().substr(i, 4));
-        bitset<4> col(input.to_string().substr(i+4, 4));
-        int r = (int) BinaryToHex(row) - '0';
-        int c = (int) BinaryToHex(col) - '0';
-        if(r > 9) {
-            r = (int) BinaryToHex(row) - 'a' + 10;
-        }
-        if(c > 9) {
-            c = (int) BinaryToHex(col) - 'a' + 10;
-        }
-        result = result + (SubByteTable[r][c]).to_string();
-    }
-    return bitset<WORD_SIZE>(result); 
-}
-
-void printBitsetInHex(bitset<WORD_SIZE>& word)
-{
-    string word_string = word.to_string();
-    for(int i = 0; i < WORD_SIZE; i+=4){
-        cout << BinaryToHex(bitset<4>(word_string.substr(i, 4)));
-    }
-    cout << " ";
-}
-
-class AES
-{
-    private:
-        bitset<INPUT_SIZE> Input;
-        bitset<INPUT_SIZE> Output;
-        vector<vector<bitset<BYTE_SIZE>>> state;
-        vector<vector<bitset<BYTE_SIZE>>> D_state;
-        bitset<KEY_SIZE> AES_key;
-        bitset<BYTE_SIZE> ConstMatrix[4][4] = {
-            {bitset<BYTE_SIZE>(0x02), bitset<BYTE_SIZE>(0x03), bitset<BYTE_SIZE>(0x01), bitset<BYTE_SIZE>(0x01)},
-            {bitset<BYTE_SIZE>(0x01), bitset<BYTE_SIZE>(0x02), bitset<BYTE_SIZE>(0x03), bitset<BYTE_SIZE>(0x01)},
-            {bitset<BYTE_SIZE>(0x01), bitset<BYTE_SIZE>(0x01), bitset<BYTE_SIZE>(0x02), bitset<BYTE_SIZE>(0x03)},
-            {bitset<BYTE_SIZE>(0x03), bitset<BYTE_SIZE>(0x01), bitset<BYTE_SIZE>(0x01), bitset<BYTE_SIZE>(0x02)}
-        };
-        bitset<BYTE_SIZE> InvConstMatrix[4][4] = {
-            {bitset<BYTE_SIZE>(0x0E), bitset<BYTE_SIZE>(0x0B), bitset<BYTE_SIZE>(0x0D), bitset<BYTE_SIZE>(0x09)},
-            {bitset<BYTE_SIZE>(0x09), bitset<BYTE_SIZE>(0x0E), bitset<BYTE_SIZE>(0x0B), bitset<BYTE_SIZE>(0x0D)},
-            {bitset<BYTE_SIZE>(0x0D), bitset<BYTE_SIZE>(0x09), bitset<BYTE_SIZE>(0x0E), bitset<BYTE_SIZE>(0x0B)},
-            {bitset<BYTE_SIZE>(0x0B), bitset<BYTE_SIZE>(0x0D), bitset<BYTE_SIZE>(0x09), bitset<BYTE_SIZE>(0x0E)}
-        };
-        
-        bitset<WORD_SIZE> KeyMatrix[11][4];
-        bitset<WORD_SIZE> RCons[10] = {
-            bitset<WORD_SIZE>(0x01000000),
-            bitset<WORD_SIZE>(0x02000000),
-            bitset<WORD_SIZE>(0x04000000),
-            bitset<WORD_SIZE>(0x08000000),
-            bitset<WORD_SIZE>(0x10000000),
-            bitset<WORD_SIZE>(0x20000000),
-            bitset<WORD_SIZE>(0x40000000),
-            bitset<WORD_SIZE>(0x80000000),
-            bitset<WORD_SIZE>(0x1B000000),
-            bitset<WORD_SIZE>(0x36000000)
-        };
-        void KeyExpansion();
-        void AddRoundKey(int round_number, bool e_or_d);
-        // Encryption methods
-        void SubBytes();
-        void ShiftRows();
-        void MixColumns();
-        void AES_Encryption_Round(int round_number);
-        // Decryption methods
-        void InvSubBytes();
-        void InvShiftRows();
-        void InvMixColumns();
-        void AES_Decryption_Round(int round_number);
-    public:
-        AES(string& AES_Key);
-        void printState(bool e_or_d);
-        string AES_Encryption(string& PlainText, bool is_empty);
-        string AES_Decryption(string& CipherText, bool is_empty);
-        
-};
-
-AES::AES(string& AES_key)
-{
-    this->AES_key = bitset<KEY_SIZE>(AES_key);
-    this->KeyExpansion();
-}
-
-void AES::KeyExpansion()
-{
-    string AES_Key_string = AES_key.to_string();
-    for(int j = 0; j < KEY_SIZE; j += WORD_SIZE)
-    {
-        KeyMatrix[0][j / WORD_SIZE] = bitset<WORD_SIZE>(AES_Key_string.substr(j, WORD_SIZE));
-    }
-    for(int i = 1; i < 11; i++)
-    {
-        for(int j = 0; j < 4; j++)
-        {
-            if(j != 0) 
-            {
-                KeyMatrix[i][j] = KeyMatrix[i][j-1] ^ KeyMatrix[i-1][j];
-            }
-            else
-            {
-                bitset<WORD_SIZE> t = SubWord(RotWord(KeyMatrix[i-1][3])) ^ RCons[i-1];
-                KeyMatrix[i][j] = t ^ KeyMatrix[i-1][0];
-            }   
-        }
-    }
-}
-
-void AES::printState(bool e_or_d)
-{
-    string str;
-    if(e_or_d == true){
-        for(int i = 0; i < 4; i++){
-            for(int j = 0; j < 4; j++){
-                str = state[j][i].to_string();
-                cout << BinaryToHex(bitset<4>(str.substr(0,4))) << BinaryToHex(bitset<4>(str.substr(4,4)));
-            }
-        }
-        cout << endl;
-    }else{
-        for(int i = 0; i < 4; i++){
-            for(int j = 0; j < 4; j++){
-                str = D_state[j][i].to_string();
-                cout << BinaryToHex(bitset<4>(str.substr(0,4))) << BinaryToHex(bitset<4>(str.substr(4,4)));
-            }
-        }
-        cout << endl;
-    }
-    
-}
-
-string AES::AES_Encryption(string& PlainText, bool is_empty)
-{
-    if(is_empty) // First block of 128 bits
-    {
-        for(int i = 0; i < 4; i++)
-        {
-            vector<bitset<BYTE_SIZE>> word;
-            for(int j = BYTE_SIZE*i; j < INPUT_SIZE-1; j+=32)
-            {
-                word.push_back(bitset<BYTE_SIZE>(PlainText.substr(j, BYTE_SIZE)));
-            }
-            state.push_back(word);
-        }
-    }
-    else // Subsequent blocks of 128 bits
-    {
-        int k = 0;
-        for(int i = 0; i < 4; i++)
-        {
-            for(int j = 0; j < 4; j++)
-            {
-                state[j][i] = bitset<BYTE_SIZE>(PlainText.substr(k, BYTE_SIZE));
-                k += 8;
-            }
-        }
-    }
-    
-    for(int round = 0; round <= 10; round++)
-    {
-        AES_Encryption_Round(round);
-    }
-    string result = "";
-    for(int i = 0; i < 4; i++){
-        for(int j = 0; j < 4; j++){
-            string temp = state[j][i].to_string();
-            result = result + BinaryToHex(bitset<4>(temp.substr(0,4))) + BinaryToHex(bitset<4>(temp.substr(4,4)));
-        }
-    }
-    return result;
-}   
-
-void AES::SubBytes()
-{
-    for(int i = 0; i < 4; i++)
-    {
-        for(int j = 0; j < 4; j++)
-        {
-            bitset<4> row(state[j][i].to_string().substr(0, 4));
-            bitset<4> col(state[j][i].to_string().substr(4, 4));
-            int r = (int) BinaryToHex(row) - '0';
-            int c = (int) BinaryToHex(col) - '0';
-            if(r > 9) {
-                r = (int) BinaryToHex(row) - 'a' + 10;
-            }
-            if(c > 9) {
-                c = (int) BinaryToHex(col) - 'a' + 10;
-            }
-            state[j][i] = SubByteTable[r][c];
-        }
-    }
-}
-
-void AES::ShiftRows()
-{
-    vector<vector<bitset<BYTE_SIZE>>> temp;
-    for(int i = 0; i < 4; i++){
-        vector<bitset<BYTE_SIZE>> t;
-        for(int j = 0; j < 4; j++){
-            t.push_back(state[i][modulo(i+j, 4)]);
-        }
-        temp.push_back(t);
-    }
-    for(int i = 0; i < 4; i++){
-        for(int j = 0; j < 4; j++){
-            state[i][j] = temp[i][j];
-        }
-    }
-}
-
-void AES::MixColumns()
-{
-    for(int i = 0; i < 4; i++)
-    {
-        vector<bitset<BYTE_SIZE>> column;
-        vector<bitset<BYTE_SIZE>> multiplied_column;
-        for(int j = 0; j < 4; j++)
-        {
-            column.push_back(state[j][i]); // (j, i) for column
-        }
-        for(int k = 0; k < 4; k++)
-        {
-            bitset<BYTE_SIZE> xor_result;
-            for(int l = 0; l < 4; l++)
-            {
-                xor_result = xor_result ^ polynomial_multiplication(ConstMatrix[k][l], column[l]);
-            }
-            multiplied_column.push_back(xor_result);
-        }
-        for(int j = 0; j < 4; j++)
-        {
-            state[j][i] = multiplied_column[j];
-        }
-    }
-}
-
-void AES::AddRoundKey(int round_number, bool e_or_d)
-{
-    if(e_or_d == true) // Encryption mode
-    {
-        for(int i = 0; i < 4; i++)
-        {
-            string current_key = (KeyMatrix[round_number-1][i]).to_string();
-            //cout << "i = " << i << " current key: "; printBitsetInHex(KeyMatrix[round_number-1][i]); cout << endl;
-            for(int j = 0; j < 4; j++)
-            {
-                
-                state[j][i] = state[j][i] ^ bitset<BYTE_SIZE>(current_key.substr(BYTE_SIZE*j, BYTE_SIZE));
-            }
-        }
-    }
-    else // Decryption mode
-    {
-        for(int i = 0; i < 4; i++)
-        {
-            string current_key = (KeyMatrix[round_number-1][i]).to_string();
-            //cout << "i = " << i << " current key: "; printBitsetInHex(KeyMatrix[round_number-1][i]); cout << endl;
-            for(int j = 0; j < 4; j++)
-            {
-                
-                D_state[j][i] = D_state[j][i] ^ bitset<BYTE_SIZE>(current_key.substr(BYTE_SIZE*j, BYTE_SIZE));
-            }
-        }
-    }
-}
-
-void AES::AES_Encryption_Round(int round_number)
-{
-    if(round_number == 0){
-        // Pre-Round transformation
-        AddRoundKey(1, true);
-    }else if(round_number < 10){
-        SubBytes();
-        ShiftRows();
-        MixColumns();
-        AddRoundKey(round_number+1, true);
-    }else if(round_number == 10){
-        SubBytes();
-        ShiftRows();
-        AddRoundKey(11, true);
-    }
-}
-
-string AES::AES_Decryption(string& CipherText, bool is_empty)
-{
-    if(is_empty){ // First Block of 128 bits
-        for(int i = 0; i < 4; i++)
-        {
-            vector<bitset<BYTE_SIZE>> word;
-            for(int j = BYTE_SIZE*i; j < INPUT_SIZE-1; j+=32)
-            {
-                word.push_back(bitset<BYTE_SIZE>(CipherText.substr(j, BYTE_SIZE)));
-            }
-            D_state.push_back(word);
-        }
-    }else{ // Subsequent blocks of 128 bits
-        int k = 0;
-        for(int i = 0; i < 4; i++)
-        {
-            for(int j = 0; j < 4; j++)
-            {
-                D_state[j][i] = bitset<BYTE_SIZE>(CipherText.substr(k, BYTE_SIZE));
-                k += 8;
-            }
-        }
-    }
-    
-    for(int round = 10; round >= 0; round--)
-    {
-        AES_Decryption_Round(round);
-    }
-    string result = "";
-    for(int i = 0; i < 4; i++){
-        for(int j = 0; j < 4; j++){
-            string temp = D_state[j][i].to_string();
-            result = result + BinaryToHex(bitset<4>(temp.substr(0,4))) + BinaryToHex(bitset<4>(temp.substr(4,4)));
-        }
-    }
-    return result;
-}
-
-void AES::AES_Decryption_Round(int round_number)
-{
-    if(round_number == 10){
-        // Pre-Round transformation
-        AddRoundKey(11, false);
-    }else if(round_number < 10 && round_number != 0){
-        InvShiftRows();
-        InvSubBytes();
-        AddRoundKey(round_number+1, false);
-        InvMixColumns();
-    }else if(round_number == 0){
-        InvShiftRows();
-        InvSubBytes();
-        AddRoundKey(1, false);
-    }
-}
-
-void AES::InvMixColumns()
-{
-    for(int i = 0; i < 4; i++)
-    {
-        vector<bitset<BYTE_SIZE>> column;
-        vector<bitset<BYTE_SIZE>> multiplied_column;
-        for(int j = 0; j < 4; j++)
-        {
-            column.push_back(D_state[j][i]); // (j, i) for column
-        }
-        for(int k = 0; k < 4; k++)
-        {
-            bitset<BYTE_SIZE> xor_result;
-            for(int l = 0; l < 4; l++)
-            {
-                xor_result = xor_result ^ polynomial_multiplication(InvConstMatrix[k][l], column[l]);
-            }
-            multiplied_column.push_back(xor_result);
-        }
-        for(int j = 0; j < 4; j++)
-        {
-            D_state[j][i] = multiplied_column[j];
-        }
-    }
-}
-
-void AES::InvShiftRows()
-{
-    vector<vector<bitset<BYTE_SIZE>>> temp;
-    for(int i = 0; i < 4; i++){
-        vector<bitset<BYTE_SIZE>> t;
-        for(int j = 0; j < 4; j++){
-            t.push_back(D_state[i][modulo(j-i, 4)]);
-        }
-        temp.push_back(t);
-    }
-    for(int i = 0; i < 4; i++){
-        for(int j = 0; j < 4; j++){
-            D_state[i][j] = temp[i][j];
-        }
-    }
-}
-
-void AES::InvSubBytes()
-{
-    for(int i = 0; i < 4; i++)
-    {
-        for(int j = 0; j < 4; j++)
-        {
-            bitset<4> row(D_state[j][i].to_string().substr(0, 4));
-            bitset<4> col(D_state[j][i].to_string().substr(4, 4));
-            int r = (int) BinaryToHex(row) - '0';
-            int c = (int) BinaryToHex(col) - '0';
-            if(r > 9) {
-                r = (int) BinaryToHex(row) - 'a' + 10;
-            }
-            if(c > 9) {
-                c = (int) BinaryToHex(col) - 'a' + 10;
-            }
-            D_state[j][i] = InvSubByteTable[r][c];
-        }
-    }
-}
-
-int main()
-{
-    //cout << "Hello AES!" << endl;
-    string plain_text_hex; string plain_text_bin = "";
-    string AES_key_hex; string AES_key_bin = "";
-    cin >> plain_text_hex;
-    cin >> AES_key_hex;
-    int plain_text_length = plain_text_hex.length(); // Actual length.
-    int pad_characters = 32 - (plain_text_length % 32); // this many 0s we have to append to the last block of plain text
-    if(pad_characters != 32){
-        for(int i = 0; i < pad_characters; i++){
-            plain_text_hex = plain_text_hex + '0';
-        }  
-    }
-    //cout << "plain text hex: " << plain_text_hex << endl;
-    for(int i = 0; i < plain_text_hex.length(); i++){
-        plain_text_bin = plain_text_bin + HexToBinary(plain_text_hex.at(i)).to_string();
-    }
-    for(int i = 0; i < AES_key_hex.length(); i++){
-        AES_key_bin = AES_key_bin + HexToBinary(AES_key_hex.at(i)).to_string();
-    }
-    
-    bool is_empty = true;
-    AES* obj = new AES(AES_key_bin);
-
-    // Encryption ECB Mode
-    string cipher_text_hex = "";
-    for(int i = 0; i < plain_text_bin.length(); i+=INPUT_SIZE){
-        string piece = plain_text_bin.substr(i, INPUT_SIZE);
-        if(i == 0){
-            is_empty = true;
-        }else{
-            is_empty = false;
-        }
-        string enc = obj->AES_Encryption(piece, is_empty);
-        cout << enc;
-        cipher_text_hex = cipher_text_hex + enc;
-    }
-    cout << endl;
-
-    // Decryption ECB mode
-    is_empty = true;
-    string cipher_text_bin = "";
-    for(int i = 0; i < cipher_text_hex.length(); i++){
-        cipher_text_bin = cipher_text_bin + HexToBinary(cipher_text_hex.at(i)).to_string();
-    }
-    string decryption = "";
-    for(int i = 0; i < cipher_text_bin.length(); i+=INPUT_SIZE){
-        string piece = cipher_text_bin.substr(i, INPUT_SIZE);
-        if(i == 0){
-            is_empty = true;
-        }else{
-            is_empty = false;
-        }
-        string dec = obj->AES_Decryption(piece, is_empty);
-        decryption = decryption + dec;
-        //cout << dec;
-    }
-    cout << decryption.substr(0, plain_text_length) << endl; // Remove the excess padded zeros
-
-    return 0;
-}
-// Sample Input: 00112233445566778899aabbccddeeff Key: 000102030405060708090a0b0c0d0e0f
-// SampleOutput: 69c4e0d86a7b0430d8cdb78070b4c55a DEc: 00112233445566778899aabbccddeeff
+#include <bits/stdc++.h>
+#define KEY_SIZE 128
+#define INPUT_SIZE 128
+#define BYTE_SIZE 8
+#define WORD_SIZE 32
+using namespace std;
+
+bitset<BYTE_SIZE> SubByteTable[16][16] = {    
+    {bitset<BYTE_SIZE>(0x63), bitset<BYTE_SIZE>(0x7C), bitset<BYTE_SIZE>(0x77), bitset<BYTE_SIZE>(0x7B), bitset<BYTE_SIZE>(0xF2), bitset<BYTE_SIZE>(0x6B), bitset<BYTE_SIZE>(0x6F), bitset<BYTE_SIZE>(0xC5), bitset<BYTE_SIZE>(0x30), bitset<BYTE_SIZE>(0x01), bitset<BYTE_SIZE>(0x67), bitset<BYTE_SIZE>(0x2B), bitset<BYTE_SIZE>(0xFE), bitset<BYTE_SIZE>(0xD7), bitset<BYTE_SIZE>(0xAB), bitset<BYTE_SIZE>(0x76)},
+    {bitset<BYTE_SIZE>(0xCA), bitset<BYTE_SIZE>(0x82), bitset<BYTE_SIZE>(0xC9), bitset<BYTE_SIZE>(0x7D), bitset<BYTE_SIZE>(0xFA), bitset<BYTE_SIZE>(0x59), bitset<BYTE_SIZE>(0x47), bitset<BYTE_SIZE>(0xF0), bitset<BYTE_SIZE>(0xAD), bitset<BYTE_SIZE>(0xD4), bitset<BYTE_SIZE>(0xA2), bitset<BYTE_SIZE>(0xAF), bitset<BYTE_SIZE>(0x9C), bitset<BYTE_SIZE>(0xA4), bitset<BYTE_SIZE>(0x72), bitset<BYTE_SIZE>(0xC0)},
+    {bitset<BYTE_SIZE>(0xB7), bitset<BYTE_SIZE>(0xFD), bitset<BYTE_SIZE>(0x93), bitset<BYTE_SIZE>(0x26), bitset<BYTE_SIZE>(0x36), bitset<BYTE_SIZE>(0x3F), bitset<BYTE_SIZE>(0xF7), bitset<BYTE_SIZE>(0xCC), bitset<BYTE_SIZE>(0x34), bitset<BYTE_SIZE>(0xA5), bitset<BYTE_SIZE>(0xE5), bitset<BYTE_SIZE>(0xF1), bitset<BYTE_SIZE>(0x71), bitset<BYTE_SIZE>(0xD8), bitset<BYTE_SIZE>(0x31), bitset<BYTE_SIZE>(0x15)},
+    {bitset<BYTE_SIZE>(0x04), bitset<BYTE_SIZE>(0xC7), bitset<BYTE_SIZE>(0x23), bitset<BYTE_SIZE>(0xC3), bitset<BYTE_SIZE>(0x18), bitset<BYTE_SIZE>(0x96), bitset<BYTE_SIZE>(0x05), bitset<BYTE_SIZE>(0x9A), bitset<BYTE_SIZE>(0x07), bitset<BYTE_SIZE>(0x12), bitset<BYTE_SIZE>(0x80), bitset<BYTE_SIZE>(0xE2), bitset<BYTE_SIZE>(0xEB), bitset<BYTE_SIZE>(0x27), bitset<BYTE_SIZE>(0xB2), bitset<BYTE_SIZE>(0x75)},
+    {bitset<BYTE_SIZE>(0x09), bitset<BYTE_SIZE>(0x83), bitset<BYTE_SIZE>(0x2C), bitset<BYTE_SIZE>(0x1A), bitset<BYTE_SIZE>(0x1B), bitset<BYTE_SIZE>(0x6E), bitset<BYTE_SIZE>(0x5A), bitset<BYTE_SIZE>(0xA0), bitset<BYTE_SIZE>(0x52), bitset<BYTE_SIZE>(0x3B), bitset<BYTE_SIZE>(0xD6), bitset<BYTE_SIZE>(0xB3), bitset<BYTE_SIZE>(0x29), bitset<BYTE_SIZE>(0xE3), bitset<BYTE_SIZE>(0x2F), bitset<BYTE_SIZE>(0x84)},
+    {bitset<BYTE_SIZE>(0x53), bitset<BYTE_SIZE>(0xD1), bitset<BYTE_SIZE>(0x00), bitset<BYTE_SIZE>(0xED), bitset<BYTE_SIZE>(0x20), bitset<BYTE_SIZE>(0xFC), bitset<BYTE_SIZE>(0xB1), bitset<BYTE_SIZE>(0x5B), bitset<BYTE_SIZE>(0x6A), bitset<BYTE_SIZE>(0xCB), bitset<BYTE_SIZE>(0xBE), bitset<BYTE_SIZE>(0x39), bitset<BYTE_SIZE>(0x4A), bitset<BYTE_SIZE>(0x4C), bitset<BYTE_SIZE>(0x58), bitset<BYTE_SIZE>(0xCF)},
+    {bitset<BYTE_SIZE>(0xD0), bitset<BYTE_SIZE>(0xEF), bitset<BYTE_SIZE>(0xAA), bitset<BYTE_SIZE>(0xFB), bitset<BYTE_SIZE>(0x43), bitset<BYTE_SIZE>(0x4D), bitset<BYTE_SIZE>(0x33), bitset<BYTE_SIZE>(0x85), bitset<BYTE_SIZE>(0x45), bitset<BYTE_SIZE>(0xF9), bitset<BYTE_SIZE>(0x02), bitset<BYTE_SIZE>(0x7F), bitset<BYTE_SIZE>(0x50), bitset<BYTE_SIZE>(0x3C), bitset<BYTE_SIZE>(0x9F), bitset<BYTE_SIZE>(0xA8)},
+    {bitset<BYTE_SIZE>(0x51), bitset<BYTE_SIZE>(0xA3), bitset<BYTE_SIZE>(0x40), bitset<BYTE_SIZE>(0x8F), bitset<BYTE_SIZE>(0x92), bitset<BYTE_SIZE>(0x9D), bitset<BYTE_SIZE>(0x38), bitset<BYTE_SIZE>(0xF5), bitset<BYTE_SIZE>(0xBC), bitset<BYTE_SIZE>(0xB6), bitset<BYTE_SIZE>(0xDA), bitset<BYTE_SIZE>(0x21), bitset<BYTE_SIZE>(0x10), bitset<BYTE_SIZE>(0xFF), bitset<BYTE_SIZE>(0xF3), bitset<BYTE_SIZE>(0xD2)},
+    {bitset<BYTE_SIZE>(0xCD), bitset<BYTE_SIZE>(0x0C), bitset<BYTE_SIZE>(0x13), bitset<BYTE_SIZE>(0xEC), bitset<BYTE_SIZE>(0x5F), bitset<BYTE_SIZE>(0x97), bitset<BYTE_SIZE>(0x44), bitset<BYTE_SIZE>(0x17), bitset<BYTE_SIZE>(0xC4), bitset<BYTE_SIZE>(0xA7), bitset<BYTE_SIZE>(0x7E), bitset<BYTE_SIZE>(0x3D), bitset<BYTE_SIZE>(0x64), bitset<BYTE_SIZE>(0x5D), bitset<BYTE_SIZE>(0x19), bitset<BYTE_SIZE>(0x73)},
+    {bitset<BYTE_SIZE>(0x60), bitset<BYTE_SIZE>(0x81), bitset<BYTE_SIZE>(0x4F), bitset<BYTE_SIZE>(0xDC), bitset<BYTE_SIZE>(0x22), bitset<BYTE_SIZE>(0x2A), bitset<BYTE_SIZE>(0x90), bitset<BYTE_SIZE>(0x88), bitset<BYTE_SIZE>(0x46), bitset<BYTE_SIZE>(0xEE), bitset<BYTE_SIZE>(0xB8), bitset<BYTE_SIZE>(0x14), bitset<BYTE_SIZE>(0xDE), bitset<BYTE_SIZE>(0x5E), bitset<BYTE_SIZE>(0x0B), bitset<BYTE_SIZE>(0xDB)},
+    {bitset<BYTE_SIZE>(0xE0), bitset<BYTE_SIZE>(0x32), bitset<BYTE_SIZE>(0x3A), bitset<BYTE_SIZE>(0x0A), bitset<BYTE_SIZE>(0x49), bitset<BYTE_SIZE>(0x06), bitset<BYTE_SIZE>(0x24), bitset<BYTE_SIZE>(0x5C), bitset<BYTE_SIZE>(0xC2), bitset<BYTE_SIZE>(0xD3), bitset<BYTE_SIZE>(0xAC), bitset<BYTE_SIZE>(0x62), bitset<BYTE_SIZE>(0x91), bitset<BYTE_SIZE>(0x95), bitset<BYTE_SIZE>(0xE4), bitset<BYTE_SIZE>(0x79)},
+    {bitset<BYTE_SIZE>(0xE7), bitset<BYTE_SIZE>(0xC8), bitset<BYTE_SIZE>(0x37), bitset<BYTE_SIZE>(0x6D), bitset<BYTE_SIZE>(0x8D), bitset<BYTE_SIZE>(0xD5), bitset<BYTE_SIZE>(0x4E), bitset<BYTE_SIZE>(0xA9), bitset<BYTE_SIZE>(0x6C), bitset<BYTE_SIZE>(0x56), bitset<BYTE_SIZE>(0xF4), bitset<BYTE_SIZE>(0xEA), bitset<BYTE_SIZE>(0x65), bitset<BYTE_SIZE>(0x7A), bitset<BYTE_SIZE>(0xAE), bitset<BYTE_SIZE>(0x08)},
+    {bitset<BYTE_SIZE>(0xBA), bitset<BYTE_SIZE>(0x78), bitset<BYTE_SIZE>(0x25), bitset<BYTE_SIZE>(0x2E), bitset<BYTE_SIZE>(0x1C), bitset<BYTE_SIZE>(0xA6), bitset<BYTE_SIZE>(0xB4), bitset<BYTE_SIZE>(0xC6), bitset<BYTE_SIZE>(0xE8), bitset<BYTE_SIZE>(0xDD), bitset<BYTE_SIZE>(0x74), bitset<BYTE_SIZE>(0x1F), bitset<BYTE_SIZE>(0x4B), bitset<BYTE_SIZE>(0xBD), bitset<BYTE_SIZE>(0x8B), bitset<BYTE_SIZE>(0x8A)},
+    {bitset<BYTE_SIZE>(0x70), bitset<BYTE_SIZE>(0x3E), bitset<BYTE_SIZE>(0xB5), bitset<BYTE_SIZE>(0x66), bitset<BYTE_SIZE>(0x48), bitset<BYTE_SIZE>(0x03), bitset<BYTE_SIZE>(0xF6), bitset<BYTE_SIZE>(0x0E), bitset<BYTE_SIZE>(0x61), bitset<BYTE_SIZE>(0x35), bitset<BYTE_SIZE>(0x57), bitset<BYTE_SIZE>(0xB9), bitset<BYTE_SIZE>(0x86), bitset<BYTE_SIZE>(0xC1), bitset<BYTE_SIZE>(0x1D), bitset<BYTE_SIZE>(0x9E)},
+    {bitset<BYTE_SIZE>(0xE1), bitset<BYTE_SIZE>(0xF8), bitset<BYTE_SIZE>(0x98), bitset<BYTE_SIZE>(0x11), bitset<BYTE_SIZE>(0x69), bitset<BYTE_SIZE>(0xD9), bitset<BYTE_SIZE>(0x8E), bitset<BYTE_SIZE>(0x94), bitset<BYTE_SIZE>(0x9B), bitset<BYTE_SIZE>(0x1E), bitset<BYTE_SIZE>(0x87), bitset<BYTE_SIZE>(0xE9), bitset<BYTE_SIZE>(0xCE), bitset<BYTE_SIZE>(0x55), bitset<BYTE_SIZE>(0x28), bitset<BYTE_SIZE>(0xDF)},
+    {bitset<BYTE_SIZE>(0x8C), bitset<BYTE_SIZE>(0xA1), bitset<BYTE_SIZE>(0x89), bitset<BYTE_SIZE>(0x0D), bitset<BYTE_SIZE>(0xBF), bitset<BYTE_SIZE>(0xE6), bitset<BYTE_SIZE>(0x42), bitset<BYTE_SIZE>(0x68), bitset<BYTE_SIZE>(0x41), bitset<BYTE_SIZE>(0x99), bitset<BYTE_SIZE>(0x2D), bitset<BYTE_SIZE>(0x0F), bitset<BYTE_SIZE>(0xB0), bitset<BYTE_SIZE>(0x54), bitset<BYTE_SIZE>(0xBB), bitset<BYTE_SIZE>(0x16)}
+};
+
+bitset<BYTE_SIZE> InvSubByteTable[16][16] = {
+    {bitset<BYTE_SIZE>(0x52), bitset<BYTE_SIZE>(0x09), bitset<BYTE_SIZE>(0x6a), bitset<BYTE_SIZE>(0xd5), bitset<BYTE_SIZE>(0x30), bitset<BYTE_SIZE>(0x36), bitset<BYTE_SIZE>(0xa5), bitset<BYTE_SIZE>(0x38), bitset<BYTE_SIZE>(0xbf), bitset<BYTE_SIZE>(0x40), bitset<BYTE_SIZE>(0xa3), bitset<BYTE_SIZE>(0x9e), bitset<BYTE_SIZE>(0x81), bitset<BYTE_SIZE>(0xf3), bitset<BYTE_SIZE>(0xd7), bitset<BYTE_SIZE>(0xfb)},
+    {bitset<BYTE_SIZE>(0x7c), bitset<BYTE_SIZE>(0xe3), bitset<BYTE_SIZE>(0x39), bitset<BYTE_SIZE>(0x82), bitset<BYTE_SIZE>(0x9b), bitset<BYTE_SIZE>(0x2f), bitset<BYTE_SIZE>(0xff), bitset<BYTE_SIZE>(0x87), bitset<BYTE_SIZE>(0x34), bitset<BYTE_SIZE>(0x8e), bitset<BYTE_SIZE>(0x43), bitset<BYTE_SIZE>(0x44), bitset<BYTE_SIZE>(0xc4), bitset<BYTE_SIZE>(0xde), bitset<BYTE_SIZE>(0xe9), bitset<BYTE_SIZE>(0xcb)},
+    {bitset<BYTE_SIZE>(0x54), bitset<BYTE_SIZE>(0x7b), bitset<BYTE_SIZE>(0x94), bitset<BYTE_SIZE>(0x32), bitset<BYTE_SIZE>(0xa6), bitset<BYTE_SIZE>(0xc2), bitset<BYTE_SIZE>(0x23), bitset<BYTE_SIZE>(0x3d), bitset<BYTE_SIZE>(0xee), bitset<BYTE_SIZE>(0x4c), bitset<BYTE_SIZE>(0x95), bitset<BYTE_SIZE>(0x0b), bitset<BYTE_SIZE>(0x42), bitset<BYTE_SIZE>(0xfa), bitset<BYTE_SIZE>(0xc3), bitset<BYTE_SIZE>(0x4e)},
+    {bitset<BYTE_SIZE>(0x08), bitset<BYTE_SIZE>(0x2e), bitset<BYTE_SIZE>(0xa1), bitset<BYTE_SIZE>(0x66), bitset<BYTE_SIZE>(0x28), bitset<BYTE_SIZE>(0xd9), bitset<BYTE_SIZE>(0x24), bitset<BYTE_SIZE>(0xb2), bitset<BYTE_SIZE>(0x76), bitset<BYTE_SIZE>(0x5b), bitset<BYTE_SIZE>(0xa2), bitset<BYTE_SIZE>(0x49), bitset<BYTE_SIZE>(0x6d), bitset<BYTE_SIZE>(0x8b), bitset<BYTE_SIZE>(0xd1), bitset<BYTE_SIZE>(0x25)},
+    {bitset<BYTE_SIZE>(0x72), bitset<BYTE_SIZE>(0xf8), bitset<BYTE_SIZE>(0xf6), bitset<BYTE_SIZE>(0x64), bitset<BYTE_SIZE>(0x86), bitset<BYTE_SIZE>(0x68), bitset<BYTE_SIZE>(0x98), bitset<BYTE_SIZE>(0x16), bitset<BYTE_SIZE>(0xd4), bitset<BYTE_SIZE>(0xa4), bitset<BYTE_SIZE>(0x5c), bitset<BYTE_SIZE>(0xcc), bitset<BYTE_SIZE>(0x5d), bitset<BYTE_SIZE>(0x65), bitset<BYTE_SIZE>(0xb6), bitset<BYTE_SIZE>(0x92)},
+    {bitset<BYTE_SIZE>(0x6c), bitset<BYTE_SIZE>(0x70), bitset<BYTE_SIZE>(0x48), bitset<BYTE_SIZE>(0x50), bitset<BYTE_SIZE>(0xfd), bitset<BYTE_SIZE>(0xed), bitset<BYTE_SIZE>(0xb9), bitset<BYTE_SIZE>(0xda), bitset<BYTE_SIZE>(0x5e), bitset<BYTE_SIZE>(0x15), bitset<BYTE_SIZE>(0x46), bitset<BYTE_SIZE>(0x57), bitset<BYTE_SIZE>(0xa7), bitset<BYTE_SIZE>(0x8d), bitset<BYTE_SIZE>(0x9d), bitset<BYTE_SIZE>(0x84)},
+    {bitset<BYTE_SIZE>(0x90), bitset<BYTE_SIZE>(0xd8), bitset<BYTE_SIZE>(0xab), bitset<BYTE_SIZE>(0x00), bitset<BYTE_SIZE>(0x8c), bitset<BYTE_SIZE>(0xbc), bitset<BYTE_SIZE>(0xd3), bitset<BYTE_SIZE>(0x0a), bitset<BYTE_SIZE>(0xf7), bitset<BYTE_SIZE>(0xe4), bitset<BYTE_SIZE>(0x58), bitset<BYTE_SIZE>(0x05), bitset<BYTE_SIZE>(0xb8), bitset<BYTE_SIZE>(0xb3), bitset<BYTE_SIZE>(0x45), bitset<BYTE_SIZE>(0x06)},
+    {bitset<BYTE_SIZE>(0xd0), bitset<BYTE_SIZE>(0x2c), bitset<BYTE_SIZE>(0x1e), bitset<BYTE_SIZE>(0x8f), bitset<BYTE_SIZE>(0xca), bitset<BYTE_SIZE>(0x3f), bitset<BYTE_SIZE>(0x0f), bitset<BYTE_SIZE>(0x02), bitset<BYTE_SIZE>(0xc1), bitset<BYTE_SIZE>(0xaf), bitset<BYTE_SIZE>(0xbd), bitset<BYTE_SIZE>(0x03), bitset<BYTE_SIZE>(0x01), bitset<BYTE_SIZE>(0x13), bitset<BYTE_SIZE>(0x8a), bitset<BYTE_SIZE>(0x6b)},
+    {bitset<BYTE_SIZE>(0x3a), bitset<BYTE_SIZE>(0x91), bitset<BYTE_SIZE>(0x11), bitset<BYTE_SIZE>(0x41), bitset<BYTE_SIZE>(0x4f), bitset<BYTE_SIZE>(0x67), bitset<BYTE_SIZE>(0xdc), bitset<BYTE_SIZE>(0xea), bitset<BYTE_SIZE>(0x97), bitset<BYTE_SIZE>(0xf2), bitset<BYTE_SIZE>(0xcf), bitset<BYTE_SIZE>(0xce), bitset<BYTE_SIZE>(0xf0), bitset<BYTE_SIZE>(0xb4), bitset<BYTE_SIZE>(0xe6), bitset<BYTE_SIZE>(0x73)},
+    {bitset<BYTE_SIZE>(0x96), bitset<BYTE_SIZE>(0xac), bitset<BYTE_SIZE>(0x74), bitset<BYTE_SIZE>(0x22), bitset<BYTE_SIZE>(0xe7), bitset<BYTE_SIZE>(0xad), bitset<BYTE_SIZE>(0x35), bitset<BYTE_SIZE>(0x85), bitset<BYTE_SIZE>(0xe2), bitset<BYTE_SIZE>(0xf9), bitset<BYTE_SIZE>(0x37), bitset<BYTE_SIZE>(0xe8), bitset<BYTE_SIZE>(0x1c), bitset<BYTE_SIZE>(0x75), bitset<BYTE_SIZE>(0xdf), bitset<BYTE_SIZE>(0x6e)},
+    {bitset<BYTE_SIZE>(0x47), bitset<BYTE_SIZE>(0xf1), bitset<BYTE_SIZE>(0x1a), bitset<BYTE_SIZE>(0x71), bitset<BYTE_SIZE>(0x1d), bitset<BYTE_SIZE>(0x29), bitset<BYTE_SIZE>(0xc5), bitset<BYTE_SIZE>(0x89), bitset<BYTE_SIZE>(0x6f), bitset<BYTE_SIZE>(0xb7), bitset<BYTE_SIZE>(0x62), bitset<BYTE_SIZE>(0x0e), bitset<BYTE_SIZE>(0xaa), bitset<BYTE_SIZE>(0x18), bitset<BYTE_SIZE>(0xbe), bitset<BYTE_SIZE>(0x1b)},
+    {bitset<BYTE_SIZE>(0xfc), bitset<BYTE_SIZE>(0x56), bitset<BYTE_SIZE>(0x3e), bitset<BYTE_SIZE>(0x4b), bitset<BYTE_SIZE>(0xc6), bitset<BYTE_SIZE>(0xd2), bitset<BYTE_SIZE>(0x79), bitset<BYTE_SIZE>(0x20), bitset<BYTE_SIZE>(0x9a), bitset<BYTE_SIZE>(0xdb), bitset<BYTE_SIZE>(0xc0), bitset<BYTE_SIZE>(0xfe), bitset<BYTE_SIZE>(0x78), bitset<BYTE_SIZE>(0xcd), bitset<BYTE_SIZE>(0x5a), bitset<BYTE_SIZE>(0xf4)},
+    {bitset<BYTE_SIZE>(0x1f), bitset<BYTE_SIZE>(0xdd), bitset<BYTE_SIZE>(0xa8), bitset<BYTE_SIZE>(0x33), bitset<BYTE_SIZE>(0x88), bitset<BYTE_SIZE>(0x07), bitset<BYTE_SIZE>(0xc7), bitset<BYTE_SIZE>(0x31), bitset<BYTE_SIZE>(0xb1), bitset<BYTE_SIZE>(0x12), bitset<BYTE_SIZE>(0x10), bitset<BYTE_SIZE>(0x59), bitset<BYTE_SIZE>(0x27), bitset<BYTE_SIZE>(0x80), bitset<BYTE_SIZE>(0xec), bitset<BYTE_SIZE>(0x5f)},
+    {bitset<BYTE_SIZE>(0x60), bitset<BYTE_SIZE>(0x51), bitset<BYTE_SIZE>(0x7f), bitset<BYTE_SIZE>(0xa9), bitset<BYTE_SIZE>(0x19), bitset<BYTE_SIZE>(0xb5), bitset<BYTE_SIZE>(0x4a), bitset<BYTE_SIZE>(0x0d), bitset<BYTE_SIZE>(0x2d), bitset<BYTE_SIZE>(0xe5), bitset<BYTE_SIZE>(0x7a), bitset<BYTE_SIZE>(0x9f), bitset<BYTE_SIZE>(0x93), bitset<BYTE_SIZE>(0xc9), bitset<BYTE_SIZE>(0x9c), bitset<BYTE_SIZE>(0xef)},
+    {bitset<BYTE_SIZE>(0xa0), bitset<BYTE_SIZE>(0xe0), bitset<BYTE_SIZE>(0x3b), bitset<BYTE_SIZE>(0x4d), bitset<BYTE_SIZE>(0xae), bitset<BYTE_SIZE>(0x2a), bitset<BYTE_SIZE>(0xf5), bitset<BYTE_SIZE>(0xb0), bitset<BYTE_SIZE>(0xc8), bitset<BYTE_SIZE>(0xeb), bitset<BYTE_SIZE>(0xbb), bitset<BYTE_SIZE>(0x3c), bitset<BYTE_SIZE>(0x83), bitset<BYTE_SIZE>(0x53), bitset<BYTE_SIZE>(0x99), bitset<BYTE_SIZE>(0x61)},
+    {bitset<BYTE_SIZE>(0x17), bitset<BYTE_SIZE>(0x2b), bitset<BYTE_SIZE>(0x04), bitset<BYTE_SIZE>(0x7e), bitset<BYTE_SIZE>(0xba), bitset<BYTE_SIZE>(0x77), bitset<BYTE_SIZE>(0xd6), bitset<BYTE_SIZE>(0x26), bitset<BYTE_SIZE>(0xe1), bitset<BYTE_SIZE>(0x69), bitset<BYTE_SIZE>(0x14), bitset<BYTE_SIZE>(0x63), bitset<BYTE_SIZE>(0x55), bitset<BYTE_SIZE>(0x21), bitset<BYTE_SIZE>(0x0c), bitset<BYTE_SIZE>(0x7d)}
+};
+
+bitset<4> HexToBinary(char c){
+    bitset<4> retval;
+    switch(c)
+    {
+        case '0': retval = bitset<4>(0x0); break;
+        case '1': retval = bitset<4>(0x1); break;
+        case '2': retval = bitset<4>(0x2); break;
+        case '3': retval = bitset<4>(0x3); break;
+        case '4': retval = bitset<4>(0x4); break;
+        case '5': retval = bitset<4>(0x5); break;
+        case '6': retval = bitset<4>(0x6); break;
+        case '7': retval = bitset<4>(0x7); break;
+        case '8': retval = bitset<4>(0x8); break;
+        case '9': retval = bitset<4>(0x9); break;
+        case 'a': retval = bitset<4>(0xA); break;
+        case 'b': retval = bitset<4>(0xB); break;
+        case 'c': retval = bitset<4>(0xC); break;
+        case 'd': retval = bitset<4>(0xD); break;
+        case 'e': retval = bitset<4>(0xE); break;
+        case 'f': retval = bitset<4>(0xF); break;
+    }
+    return retval;
+}
+
+char BinaryToHex(bitset<4> b)
+{
+    char retval;
+    int int_val = (int) b.to_ulong();
+    switch(int_val)
+    {
+        case 0: retval = '0'; break;
+        case 1: retval = '1'; break;
+        case 2: retval = '2'; break;
+        case 3: retval = '3'; break;
+        case 4: retval = '4'; break;
+        case 5: retval = '5'; break;
+        case 6: retval = '6'; break;
+        case 7: retval = '7'; break;
+        case 8: retval = '8'; break;
+        case 9: retval = '9'; break;
+        case 10: retval = 'a'; break;
+        case 11: retval = 'b'; break;
+        case 12: retval = 'c'; break;
+        case 13: retval = 'd'; break;
+        case 14: retval = 'e'; break;
+        case 15: retval = 'f'; break;
+    }
+    return retval;
+}
+
+int modulo(int a, int n) // Return a mod n
+{
+    if(a >= 0){
+        return a%n;
+    }else{
+        int q = (-a)/n, r = (-a)%n;
+        if(r == 0){
+            return 0;
+        }else{
+            return a + (q+1)*n;
+        }
+    }
+}
+
+int get_degree(bitset<BYTE_SIZE>& polynomial)
+{
+    for(int i = BYTE_SIZE-1; i >=0; i--){
+        if(polynomial.test(i))
+        {
+            return i;
+        }
+    }
+    return 0;
+}
+
+bitset<BYTE_SIZE> polynomial_multiplication(bitset<BYTE_SIZE>& poly1, bitset<BYTE_SIZE>& poly2)
+{
+    bitset<BYTE_SIZE> modulo_polynomial(0b00011011);
+    bitset<BYTE_SIZE> Poly2 = poly2;
+    bitset<BYTE_SIZE> result;
+    bool xor_flag = false;
+    for(int i = 0; i < 8; i++) // Try get_degree()
+    {
+        if(Poly2.test(7)){
+            xor_flag = true;
+        }
+        if(poly1.test(i)){
+            result = result ^ Poly2;
+        }
+        Poly2 = Poly2 << 1;
+        if(xor_flag){
+            Poly2 = Poly2 ^ modulo_polynomial;
+            xor_flag = false;
+        } 
+    }
+    return result;
+}
+
+bitset<8> multiplicative_inverse(bitset<8> input_polynomial)
+{
+    //pass
+}
+
+bitset<WORD_SIZE> RotWord(bitset<WORD_SIZE> input_word)
+{
+    bitset<WORD_SIZE> retval(input_word.to_string().substr(8, 24) + input_word.to_string().substr(0,8));
+    return retval;
+}
+
+bitset<WORD_SIZE> SubWord(bitset<WORD_SIZE> input)
+{
+    string result = "";
+    for(int i = 0; i < WORD_SIZE-1; i+=BYTE_SIZE)
+    {
+        bitset<4> row(input.to_string().substr(i, 4));
+        bitset<4> col(input.to_string().substr(i+4, 4));
+        int r = (int) BinaryToHex(row) - '0';
+        int c = (int) BinaryToHex(col) - '0';
+        if(r > 9) {
+            r = (int) BinaryToHex(row) - 'a' + 10;
+        }
+        if(c > 9) {
+            c = (int) BinaryToHex(col) - 'a' + 10;
+        }
+        result = result + (SubByteTable[r][c]).to_string();
+    }
+    return bitset<WORD_SIZE>(result); 
+}
+
+void printBitsetInHex(bitset<WORD_SIZE>& word)
+{
+    string word_string = word.to_string();
+    for(int i = 0; i < WORD_SIZE; i+=4){
+        cout << BinaryToHex(bitset<4>(word_string.substr(i, 4)));
+    }
+    cout << " ";
+}
+
+class AES
+{
+    private:
+        bitset<INPUT_SIZE> Input;
+        bitset<INPUT_SIZE> Output;
+        vector<vector<bitset<BYTE_SIZE>>> state;
+        vector<vector<bitset<BYTE_SIZE>>> D_state;
+        bitset<KEY_SIZE> AES_key;
+        bitset<BYTE_SIZE> ConstMatrix[4][4] = {
+            {bitset<BYTE_SIZE>(0x02), bitset<BYTE_SIZE>(0x03), bitset<BYTE_SIZE>(0x01), bitset<BYTE_SIZE>(0x01)},
+            {bitset<BYTE_SIZE>(0x01), bitset<BYTE_SIZE>(0x02), bitset<BYTE_SIZE>(0x03), bitset<BYTE_SIZE>(0x01)},
+            {bitset<BYTE_SIZE>(0x01), bitset<BYTE_SIZE>(0x01), bitset<BYTE_SIZE>(0x02), bitset<BYTE_SIZE>(0x03)},
+            {bitset<BYTE_SIZE>(0x03), bitset<BYTE_SIZE>(0x01), bitset<BYTE_SIZE>(0x01), bitset<BYTE_SIZE>(0x02)}
+        };
+        bitset<BYTE_SIZE> InvConstMatrix[4][4] = {
+            {bitset<BYTE_SIZE>(0x0E), bitset<BYTE_SIZE>(0x0B), bitset<BYTE_SIZE>(0x0D), bitset<BYTE_SIZE>(0x09)},
+            {bitset<BYTE_SIZE>(0x09), bitset<BYTE_SIZE>(0x0E), bitset<BYTE_SIZE>(0x0B), bitset<BYTE_SIZE>(0x0D)},
+            {bitset<BYTE_SIZE>(0x0D), bitset<BYTE_SIZE>(0x09), bitset<BYTE_SIZE>(0x0E), bitset<BYTE_SIZE>(0x0B)},
+            {bitset<BYTE_SIZE>(0x0B), bitset<BYTE_SIZE>(0x0D), bitset<BYTE_SIZE>(0x09), bitset<BYTE_SIZE>(0x0E)}
+        };
+        
+        bitset<WORD_SIZE> KeyMatrix[11][4];
+        bitset<WORD_SIZE> RCons[10] = {
+            bitset<WORD_SIZE>(0x01000000),
+            bitset<WORD_SIZE>(0x02000000),
+            bitset<WORD_SIZE>(0x04000000),
+            bitset<WORD_SIZE>(0x08000000),
+            bitset<WORD_SIZE>(0x10000000),
+            bitset<WORD_SIZE>(0x20000000),
+            bitset<WORD_SIZE>(0x40000000),
+            bitset<WORD_SIZE>(0x80000000),
+            bitset<WORD_SIZE>(0x1B000000),
+            bitset<WORD_SIZE>(0x36000000)
+        };
+        void KeyExpansion();
+        void AddRoundKey(int round_number, bool e_or_d);
+        // Encryption methods
+        void SubBytes();
+        void ShiftRows();
+        void MixColumns();
+        void AES_Encryption_Round(int round_number);
+        // Decryption methods
+        void InvSubBytes();
+        void InvShiftRows();
+        void InvMixColumns();
+        void AES_Decryption_Round(int round_number);
+    public:
+        AES(string& AES_Key);
+        void printState(bool e_or_d);
+        string AES_Encryption(string& PlainText, bool is_empty);
+        string AES_Decryption(string& CipherText, bool is_empty);
+        
+};
+
+AES::AES(string& AES_key)
+{
+    this->AES_key = bitset<KEY_SIZE>(AES_key);
+    this->KeyExpansion();
+}
+
+void AES::KeyExpansion()
+{
+    string AES_Key_string = AES_key.to_string();
+    for(int j = 0; j < KEY_SIZE; j += WORD_SIZE)
+    {
+        KeyMatrix[0][j / WORD_SIZE] = bitset<WORD_SIZE>(AES_Key_string.substr(j, WORD_SIZE));
+    }
+    for(int i = 1; i < 11; i++)
+    {
+        for(int j = 0; j < 4; j++)
+        {
+            if(j != 0) 
+            {
+                KeyMatrix[i][j] = KeyMatrix[i][j-1] ^ KeyMatrix[i-1][j];
+            }
+            else
+            {
+                bitset<WORD_SIZE> t = SubWord(RotWord(KeyMatrix[i-1][3])) ^ RCons[i-1];
+                KeyMatrix[i][j] = t ^ KeyMatrix[i-1][0];
+            }   
+        }
+    }
+}
+
+void AES::printState(bool e_or_d)
+{
+    string str;
+    if(e_or_d == true){
+        for(int i = 0; i < 4; i++){
+            for(int j = 0; j < 4; j++){
+                str = state[j][i].to_string();
+                cout << BinaryToHex(bitset<4>(str.substr(0,4))) << BinaryToHex(bitset<4>(str.substr(4,4)));
+            }
+        }
+        cout << endl;
+    }else{
+        for(int i = 0; i < 4; i++){
+            for(int j = 0; j < 4; j++){
+                str = D_state[j][i].to_string();
+                cout << BinaryToHex(bitset<4>(str.substr(0,4))) << BinaryToHex(bitset<4>(str.substr(4,4)));
+            }
+        }
+        cout << endl;
+    }
+    
+}
+
+string AES::AES_Encryption(string& PlainText, bool is_empty)
+{
+    if(is_empty) // First block of 128 bits
+    {
+        for(int i = 0; i < 4; i++)
+        {
+            vector<bitset<BYTE_SIZE>> word;
+            for(int j = BYTE_SIZE*i; j < INPUT_SIZE-1; j+=32)
+            {
+                word.push_back(bitset<BYTE_SIZE>(PlainText.substr(j, BYTE_SIZE)));
+            }
+            state.push_back(word);
+        }
+    }
+    else // Subsequent blocks of 128 bits
+    {
+        int k = 0;
+        for(int i = 0; i < 4; i++)
+        {
+            for(int j = 0; j < 4; j++)
+            {
+                state[j][i] = bitset<BYTE_SIZE>(PlainText.substr(k, BYTE_SIZE));
+                k += 8;
+            }
+        }
+    }
+    
+    for(int round = 0; round <= 10; round++)
+    {
+        AES_Encryption_Round(round);
+    }
+    string result = "";
+    for(int i = 0; i < 4; i++){
+        for(int j = 0; j < 4; j++){
+            string temp = state[j][i].to_string();
+            result = result + BinaryToHex(bitset<4>(temp.substr(0,4))) + BinaryToHex(bitset<4>(temp.substr(4,4)));
+        }
+    }
+    return result;
+}   
+
+void AES::SubBytes()
+{
+    for(int i = 0; i < 4; i++)
+    {
+        for(int j = 0; j < 4; j++)
+        {
+            bitset<4> row(state[j][i].to_string().substr(0, 4));
+            bitset<4> col(state[j][i].to_string().substr(4, 4));
+            int r = (int) BinaryToHex(row) - '0';
+            int c = (int) BinaryToHex(col) - '0';
+            if(r > 9) {
+                r = (int) BinaryToHex(row) - 'a' + 10;
+            }
+            if(c > 9) {
+                c = (int) BinaryToHex(col) - 'a' + 10;
+            }
+            state[j][i] = SubByteTable[r][c];
+        }
+    }
+}
+
+void AES::ShiftRows()
+{
+    vector<vector<bitset<BYTE_SIZE>>> temp;
+    for(int i = 0; i < 4; i++){
+        vector<bitset<BYTE_SIZE>> t;
+        for(int j = 0; j < 4; j++){
+            t.push_back(state[i][modulo(i+j, 4)]);
+        }
+        temp.push_back(t);
+    }
+    for(int i = 0; i < 4; i++){
+        for(int j = 0; j < 4; j++){
+            state[i][j] = temp[i][j];
+        }
+    }
+}
+
+void AES::MixColumns()
+{
+    for(int i = 0; i < 4; i++)
+    {
+        vector<bitset<BYTE_SIZE>> column;
+        vector<bitset<BYTE_SIZE>> multiplied_column;
+        for(int j = 0; j < 4; j++)
+        {
+            column.push_back(state[j][i]); // (j, i) for column
+        }
+        for(int k = 0; k < 4; k++)
+        {
+            bitset<BYTE_SIZE> xor_result;
+            for(int l = 0; l < 4; l++)
+            {
+                xor_result = xor_result ^ polynomial_multiplication(ConstMatrix[k][l], column[l]);
+            }
+            multiplied_column.push_back(xor_result);
+        }
+        for(int j = 0; j < 4; j++)
+        {
+            state[j][i] = multiplied_column[j];
+        }
+    }
+}
+
+void AES::AddRoundKey(int round_number, bool e_or_d)
+{
+    if(e_or_d == true) // Encryption mode
+    {
+        for(int i = 0; i < 4; i++)
+        {
+            string current_key = (KeyMatrix[round_number-1][i]).to_string();
+            //cout << "i = " << i << " current key: "; printBitsetInHex(KeyMatrix[round_number-1][i]); cout << endl;
+            for(int j = 0; j < 4; j++)
+            {
+                
+                state[j][i] = state[j][i] ^ bitset<BYTE_SIZE>(current_key.substr(BYTE_SIZE*j, BYTE_SIZE));
+            }
+        }
+    }
+    else // Decryption mode
+    {
+        for(int i = 0; i < 4; i++)
+        {
+            string current_key = (KeyMatrix[round_number-1][i]).to_string();
+            //cout << "i = " << i << " current key: "; printBitsetInHex(KeyMatrix[round_number-1][i]); cout << endl;
+            for(int j = 0; j < 4; j++)
+            {
+                
+                D_state[j][i] = D_state[j][i] ^ bitset<BYTE_SIZE>(current_key.substr(BYTE_SIZE*j, BYTE_SIZE));
+            }
+        }
+    }
+}
+
+void AES::AES_Encryption_Round(int round_number)
+{
+    if(round_number == 0){
+        // Pre-Round transformation
+        AddRoundKey(1, true);
+    }else if(round_number < 10){
+        SubBytes();
+        ShiftRows();
+        MixColumns();
+        AddRoundKey(round_number+1, true);
+    }else if(round_number == 10){
+        SubBytes();
+        ShiftRows();
+        AddRoundKey(11, true);
+    }
+}
+
+string AES::AES_Decryption(string& CipherText, bool is_empty)
+{
+    if(is_empty){ // First Block of 128 bits
+        for(int i = 0; i < 4; i++)
+        {
+            vector<bitset<BYTE_SIZE>> word;
+            for(int j = BYTE_SIZE*i; j < INPUT_SIZE-1; j+=32)
+            {
+                word.push_back(bitset<BYTE_SIZE>(CipherText.substr(j, BYTE_SIZE)));
+            }
+            D_state.push_back(word);
+        }
+    }else{ // Subsequent blocks of 128 bits
+        int k = 0;
+        for(int i = 0; i < 4; i++)
+        {
+            for(int j = 0; j < 4; j++)
+            {
+                D_state[j][i] = bitset<BYTE_SIZE>(CipherText.substr(k, BYTE_SIZE));
+                k += 8;
+            }
+        }
+    }
+    
+    for(int round = 10; round >= 0; round--)
+    {
+        AES_Decryption_Round(round);
+    }
+    string result = "";
+    for(int i = 0; i < 4; i++){
+        for(int j = 0; j < 4; j++){
+            string temp = D_state[j][i].to_string();
+            result = result + BinaryToHex(bitset<4>(temp.substr(0,4))) + BinaryToHex(bitset<4>(temp.substr(4,4)));
+        }
+    }
+    return result;
+}
+
+void AES::AES_Decryption_Round(int round_number)
+{
+    if(round_number == 10){
+        // Pre-Round transformation
+        AddRoundKey(11, false);
+    }else if(round_number < 10 && round_number != 0){
+        InvShiftRows();
+        InvSubBytes();
+        AddRoundKey(round_number+1, false);
+        InvMixColumns();
+    }else if(round_number == 0){
+        InvShiftRows();
+        InvSubBytes();
+        AddRoundKey(1, false);
+    }
+}
+
+void AES::InvMixColumns()
+{
+    for(int i = 0; i < 4; i++)
+    {
+        vector<bitset<BYTE_SIZE>> column;
+        vector<bitset<BYTE_SIZE>> multiplied_column;
+        for(int j = 0; j < 4; j++)
+        {
+            column.push_back(D_state[j][i]); // (j, i) for column
+        }
+        for(int k = 0; k < 4; k++)
+        {
+            bitset<BYTE_SIZE> xor_result;
+            for(int l = 0; l < 4; l++)
+            {
+                xor_result = xor_result ^ polynomial_multiplication(InvConstMatrix[k][l], column[l]);
+            }
+            multiplied_column.push_back(xor_result);
+        }
+        for(int j = 0; j < 4; j++)
+        {
+            D_state[j][i] = multiplied_column[j];
+        }
+    }
+}
+
+void AES::InvShiftRows()
+{
+    vector<vector<bitset<BYTE_SIZE>>> temp;
+    for(int i = 0; i < 4; i++){
+        vector<bitset<BYTE_SIZE>> t;
+        for(int j = 0; j < 4; j++){
+            t.push_back(D_state[i][modulo(j-i, 4)]);
+        }
+        temp.push_back(t);
+    }
+    for(int i = 0; i < 4; i++){
+        for(int j = 0; j < 4; j++){
+            D_state[i][j] = temp[i][j];
+        }
+    }
+}
+
+void AES::InvSubBytes()
+{
+    for(int i = 0; i < 4; i++)
+    {
+        for(int j = 0; j < 4; j++)
+        {
+            bitset<4> row(D_state[j][i].to_string().substr(0, 4));
+            bitset<4> col(D_state[j][i].to_string().substr(4, 4));
+            int r = (int) BinaryToHex(row) - '0';
+            int c = (int) BinaryToHex(col) - '0';
+            if(r > 9) {
+                r = (int) BinaryToHex(row) - 'a' + 10;
+            }
+            if(c > 9) {
+                c = (int) BinaryToHex(col) - 'a' + 10;
+            }
+            D_state[j][i] = InvSubByteTable[r][c];
+        }
+    }
+}
+
+int main()
+{
+    //cout << "Hello AES!" << endl;
+    string plain_text_hex; string plain_text_bin = "";
+    string AES_key_hex; string AES_key_bin = "";
+    cin >> plain_text_hex;
+    cin >> AES_key_hex;
+    int plain_text_length = plain_text_hex.length(); // Actual length.
+    int pad_characters = 32 - (plain_text_length % 32); // this many 0s we have to append to the last block of plain text
+    if(pad_characters != 32){
+        for(int i = 0; i < pad_characters; i++){
+            plain_text_hex = plain_text_hex + '0';
+        }  
+    }
+    //cout << "plain text hex: " << plain_text_hex << endl;
+    for(int i = 0; i < plain_text_hex.length(); i++){
+        plain_text_bin = plain_text_bin + HexToBinary(plain_text_hex.at(i)).to_string();
+    }
+    for(int i = 0; i < AES_key_hex.length(); i++){
+        AES_key_bin = AES_key_bin + HexToBinary(AES_key_hex.at(i)).to_string();
+    }
+    
+    bool is_empty = true;
+    AES* obj = new AES(AES_key_bin);
+
+    // Encryption ECB Mode
+    string cipher_text_hex = "";
+    for(int i = 0; i < plain_text_bin.length(); i+=INPUT_SIZE){
+        string piece = plain_text_bin.substr(i, INPUT_SIZE);
+        if(i == 0){
+            is_empty = true;
+        }else{
+            is_empty = false;
+        }
+        string enc = obj->AES_Encryption(piece, is_empty);
+        cout << enc;
+        cipher_text_hex = cipher_text_hex + enc;
+    }
+    cout << endl;
+
+    // Decryption ECB mode
+    is_empty = true;
+    string cipher_text_bin = "";
+    for(int i = 0; i < cipher_text_hex.length(); i++){
+        cipher_text_bin = cipher_text_bin + HexToBinary(cipher_text_hex.at(i)).to_string();
+    }
+    string decryption = "";
+    for(int i = 0; i < cipher_text_bin.length(); i+=INPUT_SIZE){
+        string piece = cipher_text_bin.substr(i, INPUT_SIZE);
+        if(i == 0){
+            is_empty = true;
+        }else{
+            is_empty = false;
+        }
+        string dec = obj->AES_Decryption(piece, is_empty);
+        decryption = decryption + dec;
+        //cout << dec;
+    }
+    cout << decryption.substr(0, plain_text_length) << endl; // Remove the excess padded zeros
+
+    return 0;
+}
+// Sample Input: 00112233445566778899aabbccddeeff Key: 000102030405060708090a0b0c0d0e0f
+// SampleOutput: 69c4e0d86a7b0430d8cdb78070b4c55a DEc: 00112233445566778899aabbccddeeff
diff --git a/ModernCiphers/DES/C++/DES.cpp b/ModernCiphers/DES/C++/DES.cpp
index 96a67717..9749c109 100644
--- a/ModernCiphers/DES/C++/DES.cpp
+++ b/ModernCiphers/DES/C++/DES.cpp
@@ -1,437 +1,437 @@
-#include <bits/stdc++.h>
-#define INPUT_SIZE 64
-#define KEY_SIZE 64
-#define ROUND_KEY_SIZE 48
-using namespace std;
-
-class DES
-{
-private:
-    bitset<INPUT_SIZE> _input;             // Input to DES
-    bitset<INPUT_SIZE> _output;            // Output of DES
-    bitset<KEY_SIZE> DES_key;              // Key given to Rounf key generator
-    bitset<ROUND_KEY_SIZE> round_keys[16]; // Array of round keys
-    bool roundKeysPresent;
-    int IP[INPUT_SIZE] =
-        {
-            58, 50, 42, 34, 26, 18, 10, 2,
-            60, 52, 44, 36, 28, 20, 12, 4,
-            62, 54, 46, 38, 30, 22, 14, 6,
-            64, 56, 48, 40, 32, 24, 16, 8,
-            57, 49, 41, 33, 25, 17, 9, 1,
-            59, 51, 43, 35, 27, 19, 11, 3,
-            61, 53, 45, 37, 29, 21, 13, 5,
-            63, 55, 47, 39, 31, 23, 15, 7
-        };
-    int FP[INPUT_SIZE] =
-        {
-            40, 8, 48, 16, 56, 24, 64, 32,
-            39, 7, 47, 15, 55, 23, 63, 31,
-            38, 6, 46, 14, 54, 22, 62, 30,
-            37, 5, 45, 13, 53, 21, 61, 29,
-            36, 4, 44, 12, 52, 20, 60, 28,
-            35, 3, 43, 11, 51, 19, 59, 27,
-            34, 2, 42, 10, 50, 18, 58, 26,
-            33, 1, 41, 9, 49, 17, 57, 25
-        };
-    int P[INPUT_SIZE / 2] =
-        {
-            16, 7, 20, 21,
-            29, 12, 28, 17,
-            1, 15, 23, 26,
-            5, 18, 31, 10,
-            2, 8, 24, 14,
-            32, 27, 3, 9,
-            19, 13, 30, 6,
-            22, 11, 4, 25
-        };
-    // S-boxes
-    int S_boxes[8][4][16] = {
-        {
-            {14, 4, 13, 1, 2, 15, 11, 8, 3, 10, 6, 12, 5, 9, 0, 7},
-            {0, 15, 7, 4, 14, 2, 13, 1, 10, 6, 12, 11, 9, 5, 3, 8},
-            {4, 1, 14, 8, 13, 6, 2, 11, 15, 12, 9, 7, 3, 10, 5, 0},
-            {15, 12, 8, 2, 4, 9, 1, 7, 5, 11, 3, 14, 10, 0, 6, 13}
-        },
-        {
-            {15, 1, 8, 14, 6, 11, 3, 4, 9, 7, 2, 13, 12, 0, 5, 10},
-            {3, 13, 4, 7, 15, 2, 8, 14, 12, 0, 1, 10, 6, 9, 11, 5},
-            {0, 14, 7, 11, 10, 4, 13, 1, 5, 8, 12, 6, 9, 3, 2, 15},
-            {13, 8, 10, 1, 3, 15, 4, 2, 11, 6, 7, 12, 0, 5, 14, 9}
-        },
-        {
-            {10, 0, 9, 14, 6, 3, 15, 5, 1, 13, 12, 7, 11, 4, 2, 8},
-            {13, 7, 0, 9, 3, 4, 6, 10, 2, 8, 5, 14, 12, 11, 15, 1},
-            {13, 6, 4, 9, 8, 15, 3, 0, 11, 1, 2, 12, 5, 10, 14, 7},
-            {1, 10, 13, 0, 6, 9, 8, 7, 4, 15, 14, 3, 11, 5, 2, 12}
-        },
-        {
-           { 7, 13, 14, 3, 0, 6, 9, 10, 1, 2, 8, 5, 11, 12, 4, 15},
-            {13, 8, 11, 5, 6, 15, 0, 3, 4, 7, 2, 12, 1, 10, 14, 9},
-           { 10, 6, 9, 0, 12, 11, 7, 13, 15, 1, 3, 14, 5, 2, 8, 4},
-            {3, 15, 0, 6, 10, 1, 13, 8, 9, 4, 5, 11, 12, 7, 2, 14}
-        },
-        {
-            {2, 12, 4, 1, 7, 10, 11, 6, 8, 5, 3, 15, 13, 0, 14, 9},
-            {14, 11, 2, 12, 4, 7, 13, 1, 5, 0, 15, 10, 3, 9, 8, 6},
-            {4, 2, 1, 11, 10, 13, 7, 8, 15, 9, 12, 5, 6, 3, 0, 14},
-            {11, 8, 12, 7, 1, 14, 2, 13, 6, 15, 0, 9, 10, 4, 5, 3}
-        },
-        {
-            {12, 1, 10, 15, 9, 2, 6, 8, 0, 13, 3, 4, 14, 7, 5, 11},
-            {10, 15, 4, 2, 7, 12, 9, 5, 6, 1, 13, 14, 0, 11, 3, 8},
-            {9, 14, 15, 5, 2, 8, 12, 3, 7, 0, 4, 10, 1, 13, 11, 6},
-            {4, 3, 2, 12, 9, 5, 15, 10, 11, 14, 1, 7, 6, 0, 8, 13}
-        },
-        {
-            {4, 11, 2, 14, 15, 0, 8, 13, 3, 12, 9, 7, 5, 10, 6, 1},
-            {13, 0, 11, 7, 4, 9, 1, 10, 14, 3, 5, 12, 2, 15, 8, 6},
-            {1, 4, 11, 13, 12, 3, 7, 14, 10, 15, 6, 8, 0, 5, 9, 2},
-            {6, 11, 13, 8, 1, 4, 10, 7, 9, 5, 0, 15, 14, 2, 3, 12}
-        },
-        {
-            {13, 2, 8, 4, 6, 15, 11, 1, 10, 9, 3, 14, 5, 0, 12, 7},
-            {1, 15, 13, 8, 10, 3, 7, 4, 12, 5, 6, 11, 0, 14, 9, 2},
-            {7, 11, 4, 1, 9, 12, 14, 2, 0, 6, 10, 13, 15, 3, 5, 8},
-            {2, 1, 14, 7, 4, 10, 8, 13, 15, 12, 9, 0, 3, 5, 6, 11}
-        }
-
-    };
-
-    int ED[ROUND_KEY_SIZE] =
-        {
-            32, 1, 2, 3, 4, 5,
-            4, 5, 6, 7, 8, 9,
-            8, 9, 10, 11, 12, 13,
-            12, 13, 14, 15, 16, 17,
-            16, 17, 18, 19, 20, 21,
-            20, 21, 22, 23, 24, 25,
-            24, 25, 26, 27, 28, 29,
-            28, 29, 30, 31, 32, 1
-        };
-
-    int CP[56]=  
-    {    57,49,41,33,25,17,9, 
-        1,58,50,42,34,26,18, 
-        10,2,59,51,43,35,27, 
-        19,11,3,60,52,44,36,           
-        63,55,47,39,31,23,15, 
-        7,62,54,46,38,30,22, 
-        14,6,61,53,45,37,29, 
-        21,13,5,28,20,12,4 
-    }; // For parity drop
-
-    int CD[ROUND_KEY_SIZE]= 
-	{ 14,17,11,24,1,5, 
-		3,28,15,6,21,10, 
-		23,19,12,4,26,8, 
-		16,7,27,20,13,2, 
-		41,52,31,37,47,55, 
-		30,40,51,45,33,48, 
-		44,49,39,56,34,53, 
-		46,42,50,36,29,32 
-	};
-
-
-public:
-    DES(bitset<INPUT_SIZE> &input, bitset<INPUT_SIZE> &DESkey, bool enc_dec);
-    void generate_round_keys();
-    void DES_Encryption();
-    void DES_Decryption();
-    void initialize_compression_D_boxes();
-    bitset<ROUND_KEY_SIZE> get_compression(bitset<56> *in, int CD[]);
-    bitset<INPUT_SIZE/2> DES_function(bitset<32> &R, bitset<ROUND_KEY_SIZE> &round_key);
-    bitset<INPUT_SIZE> mixer(bitset<INPUT_SIZE> &input, bitset<ROUND_KEY_SIZE> &round_key);
-    bitset<INPUT_SIZE> swapper(bitset<INPUT_SIZE> set);
-    bitset<INPUT_SIZE> DES_Round(bitset<INPUT_SIZE> &round_input, bitset<ROUND_KEY_SIZE> &round_key, int round_number);
-    void apply_permutation(bitset<INPUT_SIZE> &input, int permutation[]);
-    void apply_permutation(bitset<32> &input, int permutation[]);
-    bitset<ROUND_KEY_SIZE> apply_expansion_permutation(bitset<32> &input, int expansion_permutation[]);
-    bitset<ROUND_KEY_SIZE> get_expansion(bitset<INPUT_SIZE / 2> &input);
-    bitset<4> get_substitution(bitset<6>& input, int S_box[][16]);
-    void setRoundKeysPresent(bool b) {
-        roundKeysPresent = b;
-    }
-};
-DES::DES(bitset<INPUT_SIZE> &input, bitset<INPUT_SIZE> &DESkey, bool enc_dec)
-{
-    roundKeysPresent = false;
-    if (enc_dec == true)
-    {
-        // Encryption mode
-        this->_input = input;
-        this->DES_key = DESkey;
-        this->DES_Encryption();
-    }
-    else
-    {
-        // Decryption mode
-        this->_output = input;
-        this->DES_key = DESkey;
-        this->DES_Decryption();
-    }
-}
-// Apply permutation to 64 bit bitset
-void DES::apply_permutation(bitset<INPUT_SIZE> &input, int permutation[])
-{
-    bitset<INPUT_SIZE> temp;
-    for (int i = 0; i < INPUT_SIZE; i++)
-    {
-        temp[INPUT_SIZE-1-i] = input[INPUT_SIZE-1-(permutation[i]-1)];
-    }
-    input = temp;
-}
-
-// Apply permutation to 32 bit bitset
-void DES::apply_permutation(bitset<32>& input, int permutation[])
-{
-    bitset<32> temp;
-    for(int i = 0; i < 32; i++){
-        temp[31-i] = input[31-(permutation[i]-1)];
-    }
-    input = temp;
-}
-
-bitset<ROUND_KEY_SIZE> DES::apply_expansion_permutation(bitset<32> &input, int expansion_permutation[])
-{
-    // Modification
-    bitset<ROUND_KEY_SIZE> output;
-    for(int i = 0; i < ROUND_KEY_SIZE; i++)
-    {
-        output[ROUND_KEY_SIZE-1-i] = input[((INPUT_SIZE / 2)-1)-(expansion_permutation[i]-1)];
-    } 
-    return output; 
-}
-
-
-bitset<INPUT_SIZE> DES::DES_Round(bitset<INPUT_SIZE> &round_input, bitset<ROUND_KEY_SIZE> &round_key, int round_number)
-{
-    bitset<INPUT_SIZE> output;
-    output = mixer(round_input, round_key);
-    bitset<INPUT_SIZE> swapped;
-    if (round_number != 16)
-    {
-        swapped = swapper(output);
-        return swapped;
-    }
-    else
-    {
-        return output;
-    }
-    
-}
-
-void DES::DES_Encryption()
-{
-    
-    if(roundKeysPresent == false){
-        generate_round_keys();
-        roundKeysPresent = true;
-    }
-    // Initial Permutation
-    apply_permutation(_input, IP);
-    bitset<INPUT_SIZE> out;
-    bitset<INPUT_SIZE> in = _input;
-
-    for (int i = 0; i < 16; i++)
-    {
-        // DES Rounds
-        out = DES_Round(in, round_keys[i], i + 1);
-
-        in = out;
-    }
-    // Final Permutation
-    apply_permutation(out, FP);
-    cout << out.to_string() << endl;
-    _output = out;
-}
-
-void DES::DES_Decryption()
-{
-    if(roundKeysPresent == false){
-        generate_round_keys();
-        roundKeysPresent = true;
-    }
-    apply_permutation(_output, IP);
-    bitset<INPUT_SIZE> out;
-    bitset<INPUT_SIZE> in = _output;
-    for(int i = 0; i < 16; i++)
-    {
-        out = DES_Round(in, round_keys[16-i-1], i+1);
-        in = out;
-    }
-    apply_permutation(out, FP);
-    cout << out.to_string() << endl;
-    _input = out; 
-}
-
-bitset<ROUND_KEY_SIZE> DES::get_compression(bitset<56> *in, int CD[])
-{
-    bitset<ROUND_KEY_SIZE> out;
-    for(int i = 0; i < 48; i++)
-    {
-        out[ROUND_KEY_SIZE-1-i] = (*in)[55 - (CD[i]-1)];
-    }
-    return out;
-}
-
-bitset<ROUND_KEY_SIZE> DES::get_expansion(bitset<INPUT_SIZE / 2> &input)
-{
-    bitset<ROUND_KEY_SIZE> output;
-    output = apply_expansion_permutation(input, ED);
-    return output;
-}
-
-bitset<4> DES::get_substitution(bitset<6>& input, int S_box[][16])
-{
-    bitset<2> row;
-    bitset<4> col;
-    row[0] = input[0]; row[1] = input[5];
-    for(int i = 0; i < 4; i++){
-        col[i] = input[i+1];
-    }
-    int _row = (int)row.to_ulong();
-    int _col = (int)col.to_ulong();
-    bitset<4> retval(S_box[_row][_col]);
-    return retval;
-}
-
-void DES::generate_round_keys()
-{
-    // Parity Drop
-    bitset<56> updated_key_permuted; 
-    for (int i = 0; i < 56; i++)
-    {
-        updated_key_permuted[55-i] = DES_key[INPUT_SIZE-1-(CP[i]-1)];
-    }
-    
-    bitset<56> *temp;
-    bitset<56> divider(0b00000000000000000000000000001111111111111111111111111111);
-    // Split the input in two halves
-    bitset<28> left(((updated_key_permuted >> 28) & divider).to_string().substr(28,28));
-    bitset<28> right((updated_key_permuted & divider).to_string().substr(28, 28));
-
-    for (int i = 0; i < 16; i++)
-    {
-        // rotate left according to round number
-        switch (i + 1)
-        {
-        case 1:
-        case 2:
-        case 9:
-        case 16: /* Rotate by 1 */
-            
-            left = left << 1 | left >> (27);
-            right = right << 1 | right >> (27);
-            
-            break;
-
-        default: /* Rotate by 2 */
-            
-            left = left << 2 | left >> (26);
-            right = right << 2 | right >> (26);
-            break;
-        }
-        
-        // Concatenate the outputs left and right
-        temp = new bitset<56>(left.to_string() + right.to_string());
-        
-        // Use Compression D-Box
-        round_keys[i] = get_compression(temp, CD);
-        delete temp;
-    }
-}
-
-bitset<INPUT_SIZE> DES::swapper(bitset<INPUT_SIZE> set)
-{
-    int len = INPUT_SIZE;
-    bitset<INPUT_SIZE> retval;
-    retval = set << (len / 2) | set >> (len / 2);
-    return retval;
-}
-
-bitset<INPUT_SIZE> DES::mixer(bitset<INPUT_SIZE> &input, bitset<ROUND_KEY_SIZE> &round_key)
-{
-    
-    bitset<INPUT_SIZE / 2> function_output;
-    bitset<INPUT_SIZE / 2> left(input.to_string().substr(0, INPUT_SIZE / 2));
-    bitset<INPUT_SIZE / 2> right(input.to_string().substr(INPUT_SIZE / 2, INPUT_SIZE / 2));
-    function_output = DES_function(right, round_key);
-    left = left ^ function_output;
-    bitset<INPUT_SIZE> mixer_output(left.to_string() + right.to_string());
-
-    return mixer_output;
-}
-
-bitset<INPUT_SIZE / 2> DES::DES_function(bitset<32> &R, bitset<ROUND_KEY_SIZE> &round_key)
-{
-    
-    // Expand the 'R' input by passing it through Expansion D box
-    bitset<ROUND_KEY_SIZE> expanded_R;
-    expanded_R = apply_expansion_permutation(R, ED);
-    // XOR with round key
-    bitset<ROUND_KEY_SIZE> intermediate1 = (expanded_R) ^ round_key;
-    bitset<INPUT_SIZE / 2> intermediate2;
-    // Split the intermediate output into 8 splits
-    // modification
-    string XORed = intermediate1.to_string();
-    bitset<6> splits[8];
-    for(int i = 0; i < 8; i++)
-    {
-        splits[i] = bitset<6>(XORed.substr(6*i, 6));
-    }
-    // Get corresponding substitutions
-    // modification
-    bitset<4> substitutions[8];
-    bitset<2> row;
-    bitset<4> col; 
-    int _row, _col;
-    for(int i = 0; i < 8; i++)
-    {
-        row[0] = splits[i][0]; row[1] = splits[i][5];
-        for(int j = 1; j <= 4; j++)
-        {
-            col[j-1] = splits[i][j];
-        }
-        _row = (int) row.to_ulong();
-        _col = (int) col.to_ulong(); 
-        substitutions[i] = bitset<4>(S_boxes[i][_row][_col]);
-    }
-    
-    string sub = "";
-    for(int i = 0; i < 8; i++)
-    {
-        sub = sub + substitutions[i].to_string();
-    }
-    
-    bitset<32> temp(sub);
-    intermediate2 = temp;
-    
-    // Apply P-box
-    apply_permutation(intermediate2, P);
-    // Return the output
-    return intermediate2;
-}
-
-int main()
-{
-    string key;
-    string plain_text;
-    string key_string = "";
-    string plain_text_string = ""; 
-    cin >> plain_text;
-    cin >> key;
-    bitset<8> t;
-    for(int i = 0; i < 8; i++){
-        t = bitset<8>(key.at(i));
-        key_string = key_string + t.to_string();
-        t = bitset<8>(plain_text.at(i));
-        plain_text_string = plain_text_string + t.to_string();
-    }
-    bitset<KEY_SIZE> DES_Key(key_string);
-    bitset<INPUT_SIZE> PlainText(plain_text_string);
-    DES obj(PlainText, DES_Key, true);
-    obj.setRoundKeysPresent(true);
-    obj.DES_Decryption();
-    return 0;
+#include <bits/stdc++.h>
+#define INPUT_SIZE 64
+#define KEY_SIZE 64
+#define ROUND_KEY_SIZE 48
+using namespace std;
+
+class DES
+{
+private:
+    bitset<INPUT_SIZE> _input;             // Input to DES
+    bitset<INPUT_SIZE> _output;            // Output of DES
+    bitset<KEY_SIZE> DES_key;              // Key given to Rounf key generator
+    bitset<ROUND_KEY_SIZE> round_keys[16]; // Array of round keys
+    bool roundKeysPresent;
+    int IP[INPUT_SIZE] =
+        {
+            58, 50, 42, 34, 26, 18, 10, 2,
+            60, 52, 44, 36, 28, 20, 12, 4,
+            62, 54, 46, 38, 30, 22, 14, 6,
+            64, 56, 48, 40, 32, 24, 16, 8,
+            57, 49, 41, 33, 25, 17, 9, 1,
+            59, 51, 43, 35, 27, 19, 11, 3,
+            61, 53, 45, 37, 29, 21, 13, 5,
+            63, 55, 47, 39, 31, 23, 15, 7
+        };
+    int FP[INPUT_SIZE] =
+        {
+            40, 8, 48, 16, 56, 24, 64, 32,
+            39, 7, 47, 15, 55, 23, 63, 31,
+            38, 6, 46, 14, 54, 22, 62, 30,
+            37, 5, 45, 13, 53, 21, 61, 29,
+            36, 4, 44, 12, 52, 20, 60, 28,
+            35, 3, 43, 11, 51, 19, 59, 27,
+            34, 2, 42, 10, 50, 18, 58, 26,
+            33, 1, 41, 9, 49, 17, 57, 25
+        };
+    int P[INPUT_SIZE / 2] =
+        {
+            16, 7, 20, 21,
+            29, 12, 28, 17,
+            1, 15, 23, 26,
+            5, 18, 31, 10,
+            2, 8, 24, 14,
+            32, 27, 3, 9,
+            19, 13, 30, 6,
+            22, 11, 4, 25
+        };
+    // S-boxes
+    int S_boxes[8][4][16] = {
+        {
+            {14, 4, 13, 1, 2, 15, 11, 8, 3, 10, 6, 12, 5, 9, 0, 7},
+            {0, 15, 7, 4, 14, 2, 13, 1, 10, 6, 12, 11, 9, 5, 3, 8},
+            {4, 1, 14, 8, 13, 6, 2, 11, 15, 12, 9, 7, 3, 10, 5, 0},
+            {15, 12, 8, 2, 4, 9, 1, 7, 5, 11, 3, 14, 10, 0, 6, 13}
+        },
+        {
+            {15, 1, 8, 14, 6, 11, 3, 4, 9, 7, 2, 13, 12, 0, 5, 10},
+            {3, 13, 4, 7, 15, 2, 8, 14, 12, 0, 1, 10, 6, 9, 11, 5},
+            {0, 14, 7, 11, 10, 4, 13, 1, 5, 8, 12, 6, 9, 3, 2, 15},
+            {13, 8, 10, 1, 3, 15, 4, 2, 11, 6, 7, 12, 0, 5, 14, 9}
+        },
+        {
+            {10, 0, 9, 14, 6, 3, 15, 5, 1, 13, 12, 7, 11, 4, 2, 8},
+            {13, 7, 0, 9, 3, 4, 6, 10, 2, 8, 5, 14, 12, 11, 15, 1},
+            {13, 6, 4, 9, 8, 15, 3, 0, 11, 1, 2, 12, 5, 10, 14, 7},
+            {1, 10, 13, 0, 6, 9, 8, 7, 4, 15, 14, 3, 11, 5, 2, 12}
+        },
+        {
+           { 7, 13, 14, 3, 0, 6, 9, 10, 1, 2, 8, 5, 11, 12, 4, 15},
+            {13, 8, 11, 5, 6, 15, 0, 3, 4, 7, 2, 12, 1, 10, 14, 9},
+           { 10, 6, 9, 0, 12, 11, 7, 13, 15, 1, 3, 14, 5, 2, 8, 4},
+            {3, 15, 0, 6, 10, 1, 13, 8, 9, 4, 5, 11, 12, 7, 2, 14}
+        },
+        {
+            {2, 12, 4, 1, 7, 10, 11, 6, 8, 5, 3, 15, 13, 0, 14, 9},
+            {14, 11, 2, 12, 4, 7, 13, 1, 5, 0, 15, 10, 3, 9, 8, 6},
+            {4, 2, 1, 11, 10, 13, 7, 8, 15, 9, 12, 5, 6, 3, 0, 14},
+            {11, 8, 12, 7, 1, 14, 2, 13, 6, 15, 0, 9, 10, 4, 5, 3}
+        },
+        {
+            {12, 1, 10, 15, 9, 2, 6, 8, 0, 13, 3, 4, 14, 7, 5, 11},
+            {10, 15, 4, 2, 7, 12, 9, 5, 6, 1, 13, 14, 0, 11, 3, 8},
+            {9, 14, 15, 5, 2, 8, 12, 3, 7, 0, 4, 10, 1, 13, 11, 6},
+            {4, 3, 2, 12, 9, 5, 15, 10, 11, 14, 1, 7, 6, 0, 8, 13}
+        },
+        {
+            {4, 11, 2, 14, 15, 0, 8, 13, 3, 12, 9, 7, 5, 10, 6, 1},
+            {13, 0, 11, 7, 4, 9, 1, 10, 14, 3, 5, 12, 2, 15, 8, 6},
+            {1, 4, 11, 13, 12, 3, 7, 14, 10, 15, 6, 8, 0, 5, 9, 2},
+            {6, 11, 13, 8, 1, 4, 10, 7, 9, 5, 0, 15, 14, 2, 3, 12}
+        },
+        {
+            {13, 2, 8, 4, 6, 15, 11, 1, 10, 9, 3, 14, 5, 0, 12, 7},
+            {1, 15, 13, 8, 10, 3, 7, 4, 12, 5, 6, 11, 0, 14, 9, 2},
+            {7, 11, 4, 1, 9, 12, 14, 2, 0, 6, 10, 13, 15, 3, 5, 8},
+            {2, 1, 14, 7, 4, 10, 8, 13, 15, 12, 9, 0, 3, 5, 6, 11}
+        }
+
+    };
+
+    int ED[ROUND_KEY_SIZE] =
+        {
+            32, 1, 2, 3, 4, 5,
+            4, 5, 6, 7, 8, 9,
+            8, 9, 10, 11, 12, 13,
+            12, 13, 14, 15, 16, 17,
+            16, 17, 18, 19, 20, 21,
+            20, 21, 22, 23, 24, 25,
+            24, 25, 26, 27, 28, 29,
+            28, 29, 30, 31, 32, 1
+        };
+
+    int CP[56]=  
+    {    57,49,41,33,25,17,9, 
+        1,58,50,42,34,26,18, 
+        10,2,59,51,43,35,27, 
+        19,11,3,60,52,44,36,           
+        63,55,47,39,31,23,15, 
+        7,62,54,46,38,30,22, 
+        14,6,61,53,45,37,29, 
+        21,13,5,28,20,12,4 
+    }; // For parity drop
+
+    int CD[ROUND_KEY_SIZE]= 
+	{ 14,17,11,24,1,5, 
+		3,28,15,6,21,10, 
+		23,19,12,4,26,8, 
+		16,7,27,20,13,2, 
+		41,52,31,37,47,55, 
+		30,40,51,45,33,48, 
+		44,49,39,56,34,53, 
+		46,42,50,36,29,32 
+	};
+
+
+public:
+    DES(bitset<INPUT_SIZE> &input, bitset<INPUT_SIZE> &DESkey, bool enc_dec);
+    void generate_round_keys();
+    void DES_Encryption();
+    void DES_Decryption();
+    void initialize_compression_D_boxes();
+    bitset<ROUND_KEY_SIZE> get_compression(bitset<56> *in, int CD[]);
+    bitset<INPUT_SIZE/2> DES_function(bitset<32> &R, bitset<ROUND_KEY_SIZE> &round_key);
+    bitset<INPUT_SIZE> mixer(bitset<INPUT_SIZE> &input, bitset<ROUND_KEY_SIZE> &round_key);
+    bitset<INPUT_SIZE> swapper(bitset<INPUT_SIZE> set);
+    bitset<INPUT_SIZE> DES_Round(bitset<INPUT_SIZE> &round_input, bitset<ROUND_KEY_SIZE> &round_key, int round_number);
+    void apply_permutation(bitset<INPUT_SIZE> &input, int permutation[]);
+    void apply_permutation(bitset<32> &input, int permutation[]);
+    bitset<ROUND_KEY_SIZE> apply_expansion_permutation(bitset<32> &input, int expansion_permutation[]);
+    bitset<ROUND_KEY_SIZE> get_expansion(bitset<INPUT_SIZE / 2> &input);
+    bitset<4> get_substitution(bitset<6>& input, int S_box[][16]);
+    void setRoundKeysPresent(bool b) {
+        roundKeysPresent = b;
+    }
+};
+DES::DES(bitset<INPUT_SIZE> &input, bitset<INPUT_SIZE> &DESkey, bool enc_dec)
+{
+    roundKeysPresent = false;
+    if (enc_dec == true)
+    {
+        // Encryption mode
+        this->_input = input;
+        this->DES_key = DESkey;
+        this->DES_Encryption();
+    }
+    else
+    {
+        // Decryption mode
+        this->_output = input;
+        this->DES_key = DESkey;
+        this->DES_Decryption();
+    }
+}
+// Apply permutation to 64 bit bitset
+void DES::apply_permutation(bitset<INPUT_SIZE> &input, int permutation[])
+{
+    bitset<INPUT_SIZE> temp;
+    for (int i = 0; i < INPUT_SIZE; i++)
+    {
+        temp[INPUT_SIZE-1-i] = input[INPUT_SIZE-1-(permutation[i]-1)];
+    }
+    input = temp;
+}
+
+// Apply permutation to 32 bit bitset
+void DES::apply_permutation(bitset<32>& input, int permutation[])
+{
+    bitset<32> temp;
+    for(int i = 0; i < 32; i++){
+        temp[31-i] = input[31-(permutation[i]-1)];
+    }
+    input = temp;
+}
+
+bitset<ROUND_KEY_SIZE> DES::apply_expansion_permutation(bitset<32> &input, int expansion_permutation[])
+{
+    // Modification
+    bitset<ROUND_KEY_SIZE> output;
+    for(int i = 0; i < ROUND_KEY_SIZE; i++)
+    {
+        output[ROUND_KEY_SIZE-1-i] = input[((INPUT_SIZE / 2)-1)-(expansion_permutation[i]-1)];
+    } 
+    return output; 
+}
+
+
+bitset<INPUT_SIZE> DES::DES_Round(bitset<INPUT_SIZE> &round_input, bitset<ROUND_KEY_SIZE> &round_key, int round_number)
+{
+    bitset<INPUT_SIZE> output;
+    output = mixer(round_input, round_key);
+    bitset<INPUT_SIZE> swapped;
+    if (round_number != 16)
+    {
+        swapped = swapper(output);
+        return swapped;
+    }
+    else
+    {
+        return output;
+    }
+    
+}
+
+void DES::DES_Encryption()
+{
+    
+    if(roundKeysPresent == false){
+        generate_round_keys();
+        roundKeysPresent = true;
+    }
+    // Initial Permutation
+    apply_permutation(_input, IP);
+    bitset<INPUT_SIZE> out;
+    bitset<INPUT_SIZE> in = _input;
+
+    for (int i = 0; i < 16; i++)
+    {
+        // DES Rounds
+        out = DES_Round(in, round_keys[i], i + 1);
+
+        in = out;
+    }
+    // Final Permutation
+    apply_permutation(out, FP);
+    cout << out.to_string() << endl;
+    _output = out;
+}
+
+void DES::DES_Decryption()
+{
+    if(roundKeysPresent == false){
+        generate_round_keys();
+        roundKeysPresent = true;
+    }
+    apply_permutation(_output, IP);
+    bitset<INPUT_SIZE> out;
+    bitset<INPUT_SIZE> in = _output;
+    for(int i = 0; i < 16; i++)
+    {
+        out = DES_Round(in, round_keys[16-i-1], i+1);
+        in = out;
+    }
+    apply_permutation(out, FP);
+    cout << out.to_string() << endl;
+    _input = out; 
+}
+
+bitset<ROUND_KEY_SIZE> DES::get_compression(bitset<56> *in, int CD[])
+{
+    bitset<ROUND_KEY_SIZE> out;
+    for(int i = 0; i < 48; i++)
+    {
+        out[ROUND_KEY_SIZE-1-i] = (*in)[55 - (CD[i]-1)];
+    }
+    return out;
+}
+
+bitset<ROUND_KEY_SIZE> DES::get_expansion(bitset<INPUT_SIZE / 2> &input)
+{
+    bitset<ROUND_KEY_SIZE> output;
+    output = apply_expansion_permutation(input, ED);
+    return output;
+}
+
+bitset<4> DES::get_substitution(bitset<6>& input, int S_box[][16])
+{
+    bitset<2> row;
+    bitset<4> col;
+    row[0] = input[0]; row[1] = input[5];
+    for(int i = 0; i < 4; i++){
+        col[i] = input[i+1];
+    }
+    int _row = (int)row.to_ulong();
+    int _col = (int)col.to_ulong();
+    bitset<4> retval(S_box[_row][_col]);
+    return retval;
+}
+
+void DES::generate_round_keys()
+{
+    // Parity Drop
+    bitset<56> updated_key_permuted; 
+    for (int i = 0; i < 56; i++)
+    {
+        updated_key_permuted[55-i] = DES_key[INPUT_SIZE-1-(CP[i]-1)];
+    }
+    
+    bitset<56> *temp;
+    bitset<56> divider(0b00000000000000000000000000001111111111111111111111111111);
+    // Split the input in two halves
+    bitset<28> left(((updated_key_permuted >> 28) & divider).to_string().substr(28,28));
+    bitset<28> right((updated_key_permuted & divider).to_string().substr(28, 28));
+
+    for (int i = 0; i < 16; i++)
+    {
+        // rotate left according to round number
+        switch (i + 1)
+        {
+        case 1:
+        case 2:
+        case 9:
+        case 16: /* Rotate by 1 */
+            
+            left = left << 1 | left >> (27);
+            right = right << 1 | right >> (27);
+            
+            break;
+
+        default: /* Rotate by 2 */
+            
+            left = left << 2 | left >> (26);
+            right = right << 2 | right >> (26);
+            break;
+        }
+        
+        // Concatenate the outputs left and right
+        temp = new bitset<56>(left.to_string() + right.to_string());
+        
+        // Use Compression D-Box
+        round_keys[i] = get_compression(temp, CD);
+        delete temp;
+    }
+}
+
+bitset<INPUT_SIZE> DES::swapper(bitset<INPUT_SIZE> set)
+{
+    int len = INPUT_SIZE;
+    bitset<INPUT_SIZE> retval;
+    retval = set << (len / 2) | set >> (len / 2);
+    return retval;
+}
+
+bitset<INPUT_SIZE> DES::mixer(bitset<INPUT_SIZE> &input, bitset<ROUND_KEY_SIZE> &round_key)
+{
+    
+    bitset<INPUT_SIZE / 2> function_output;
+    bitset<INPUT_SIZE / 2> left(input.to_string().substr(0, INPUT_SIZE / 2));
+    bitset<INPUT_SIZE / 2> right(input.to_string().substr(INPUT_SIZE / 2, INPUT_SIZE / 2));
+    function_output = DES_function(right, round_key);
+    left = left ^ function_output;
+    bitset<INPUT_SIZE> mixer_output(left.to_string() + right.to_string());
+
+    return mixer_output;
+}
+
+bitset<INPUT_SIZE / 2> DES::DES_function(bitset<32> &R, bitset<ROUND_KEY_SIZE> &round_key)
+{
+    
+    // Expand the 'R' input by passing it through Expansion D box
+    bitset<ROUND_KEY_SIZE> expanded_R;
+    expanded_R = apply_expansion_permutation(R, ED);
+    // XOR with round key
+    bitset<ROUND_KEY_SIZE> intermediate1 = (expanded_R) ^ round_key;
+    bitset<INPUT_SIZE / 2> intermediate2;
+    // Split the intermediate output into 8 splits
+    // modification
+    string XORed = intermediate1.to_string();
+    bitset<6> splits[8];
+    for(int i = 0; i < 8; i++)
+    {
+        splits[i] = bitset<6>(XORed.substr(6*i, 6));
+    }
+    // Get corresponding substitutions
+    // modification
+    bitset<4> substitutions[8];
+    bitset<2> row;
+    bitset<4> col; 
+    int _row, _col;
+    for(int i = 0; i < 8; i++)
+    {
+        row[0] = splits[i][0]; row[1] = splits[i][5];
+        for(int j = 1; j <= 4; j++)
+        {
+            col[j-1] = splits[i][j];
+        }
+        _row = (int) row.to_ulong();
+        _col = (int) col.to_ulong(); 
+        substitutions[i] = bitset<4>(S_boxes[i][_row][_col]);
+    }
+    
+    string sub = "";
+    for(int i = 0; i < 8; i++)
+    {
+        sub = sub + substitutions[i].to_string();
+    }
+    
+    bitset<32> temp(sub);
+    intermediate2 = temp;
+    
+    // Apply P-box
+    apply_permutation(intermediate2, P);
+    // Return the output
+    return intermediate2;
+}
+
+int main()
+{
+    string key;
+    string plain_text;
+    string key_string = "";
+    string plain_text_string = ""; 
+    cin >> plain_text;
+    cin >> key;
+    bitset<8> t;
+    for(int i = 0; i < 8; i++){
+        t = bitset<8>(key.at(i));
+        key_string = key_string + t.to_string();
+        t = bitset<8>(plain_text.at(i));
+        plain_text_string = plain_text_string + t.to_string();
+    }
+    bitset<KEY_SIZE> DES_Key(key_string);
+    bitset<INPUT_SIZE> PlainText(plain_text_string);
+    DES obj(PlainText, DES_Key, true);
+    obj.setRoundKeysPresent(true);
+    obj.DES_Decryption();
+    return 0;
 }
\ No newline at end of file
diff --git a/MonkeySort/monkeySort.js b/MonkeySort/monkeySort.js
new file mode 100644
index 00000000..e6d5038f
--- /dev/null
+++ b/MonkeySort/monkeySort.js
@@ -0,0 +1,24 @@
+//the worst/best sorting Algorithm 
+numbers = [];
+function fillNumbers() {
+    for (i = 0; i < 100; i++) {
+        numbers[i] = Math.random() * 10
+    }
+}
+function sort() {
+    while (!isSorted(numbers)) {
+        for(i=0;i<numbers.length;i++){
+            let temp = numbers[i];
+            numbers[i] = numbers[Math.random()*numbers.length];
+            numbers[Math.random()*numbers.length]=temp;
+        }
+    }
+}
+
+function isSorted(array) {
+    for (i = 1; i < array.length; i++) {
+        if (array[i] < array[i - 1]) {
+            return false;
+        }
+    }
+}
\ No newline at end of file
diff --git a/N-Queens/Python/README.me b/N-Queens/Python/README.me
new file mode 100644
index 00000000..e680be9e
--- /dev/null
+++ b/N-Queens/Python/README.me
@@ -0,0 +1,6 @@
+The N Queen is the problem of placing N chess queens on an N×N chessboard so that no two queens attack each other. For example, following is a solution for 4 Queen problem.
+
+              { 0,  1,  0,  0}
+              { 0,  0,  0,  1}
+              { 1,  0,  0,  0}
+              { 0,  0,  1,  0}
diff --git a/N-Queens/Python/n-queens.py b/N-Queens/Python/n-queens.py
new file mode 100644
index 00000000..1982b776
--- /dev/null
+++ b/N-Queens/Python/n-queens.py
@@ -0,0 +1,43 @@
+# Getting number of Queens
+print ("Enter the number of Queens")
+N = int(input())
+
+# Chessboard
+# NxN matrix with all the elements 0
+chess_board = [[0]*N for _ in range(N)]
+
+def is_attack(i, j):
+    # Checking if there is a Queen in row or column
+    for k in range(0,N):
+        if chess_board[i][k]==1 or chess_board[k][j]==1:
+            return True
+    # Checking diagonals
+    for k in range(0,N):
+        for l in range(0,N):
+            if (k+l==i+j) or (k-l==i-j):
+                if chess_board[k][l]==1:
+                    return True
+    return False
+
+def N_queen(n):
+    # If n is 0, solution found
+    if n==0:
+        return True
+    for i in range(0,N):
+        for j in range(0,N):
+            '''Checking if we can place a queen here or not
+            queen will not be placed if the place is being attacked
+            or already occupied'''
+            if (not(is_attack(i,j))) and (chess_board[i][j]!=1):
+                chess_board[i][j] = 1
+                # Recursion
+                # Whether we can put the next Queen with this arrangment or not
+                if N_queen(n-1)==True:
+                    return True
+                chess_board[i][j] = 0
+
+    return False
+
+N_queen(N)
+for i in chess_board:
+    print (i)
\ No newline at end of file
diff --git a/Nut and Bolt b/Nut and Bolt
new file mode 100644
index 00000000..296951a1
--- /dev/null
+++ b/Nut and Bolt	
@@ -0,0 +1,75 @@
+// Java program to solve nut and bolt problem using Quick Sort 
+public class NutsAndBoltsMatch 
+{ 
+	//Driver method 
+	public static void main(String[] args) 
+	{ 
+		// Nuts and bolts are represented as array of characters 
+		char nuts[] = {'@', '#', '$', '%', '^', '&'}; 
+		char bolts[] = {'$', '%', '&', '^', '@', '#'}; 
+
+		// Method based on quick sort which matches nuts and bolts 
+		matchPairs(nuts, bolts, 0, 5); 
+
+		System.out.println("Matched nuts and bolts are : "); 
+		printArray(nuts); 
+		printArray(bolts); 
+	} 
+
+	// Method to print the array 
+	private static void printArray(char[] arr) { 
+		for (char ch : arr){ 
+			System.out.print(ch + " "); 
+		} 
+		System.out.print("n"); 
+	} 
+
+	// Method which works just like quick sort 
+	private static void matchPairs(char[] nuts, char[] bolts, int low, 
+															int high) 
+	{ 
+		if (low < high) 
+		{ 
+			// Choose last character of bolts array for nuts partition. 
+			int pivot = partition(nuts, low, high, bolts[high]); 
+
+			// Now using the partition of nuts choose that for bolts 
+			// partition. 
+			partition(bolts, low, high, nuts[pivot]); 
+
+			// Recur for [low...pivot-1] & [pivot+1...high] for nuts and 
+			// bolts array. 
+			matchPairs(nuts, bolts, low, pivot-1); 
+			matchPairs(nuts, bolts, pivot+1, high); 
+		} 
+	} 
+
+	// Similar to standard partition method. Here we pass the pivot element 
+	// too instead of choosing it inside the method. 
+	private static int partition(char[] arr, int low, int high, char pivot) 
+	{ 
+		int i = low; 
+		char temp1, temp2; 
+		for (int j = low; j < high; j++) 
+		{ 
+			if (arr[j] < pivot){ 
+				temp1 = arr[i]; 
+				arr[i] = arr[j]; 
+				arr[j] = temp1; 
+				i++; 
+			} else if(arr[j] == pivot){ 
+				temp1 = arr[j]; 
+				arr[j] = arr[high]; 
+				arr[high] = temp1; 
+				j--; 
+			} 
+		} 
+		temp2 = arr[i]; 
+		arr[i] = arr[high]; 
+		arr[high] = temp2; 
+
+		// Return the partition index of an array based on the pivot 
+		// element of other array. 
+		return i; 
+	} 
+} 
diff --git a/NutBoltWithHashmap.java b/NutBoltWithHashmap.java
new file mode 100644
index 00000000..182bf8e1
--- /dev/null
+++ b/NutBoltWithHashmap.java
@@ -0,0 +1,34 @@
+import java.util.Arrays;
+import java.util.HashMap;
+
+public class NutBoltWithHashmap{
+
+    public static void domatch(char[] nuts, char[] bolts) {
+        
+        //Create a HashMap for nuts, nut as key and its position as value
+        HashMap<Character, Integer> map = new HashMap<Character, Integer>();
+        for (int j = 0; j < nuts.length; j++) {
+            map.put(nuts[j], j);
+        }
+
+        //for each bolt , check for the nut in map
+        for (int j = 0; j < bolts.length; j++) {
+            char bolt = bolts[j];
+            if (map.containsKey(bolt)) {
+                nuts[j] = bolts[j];
+            } else {
+                System.out.println("for bolt " + bolt + " no nut is present.");
+                return;
+            }
+        }
+        System.out.println(" Matched nuts and bolts are: ");
+        System.out.println(Arrays.toString(nuts));
+        System.out.println(Arrays.toString(bolts));
+    }
+
+    public static void main(String[] args) {
+        char[] nuts = {'$', '%', '&', 'x', '@'};
+        char[] bolts = {'%', '@', 'x', '$', '&'};
+        domatch(nuts, bolts);
+    }
+}
\ No newline at end of file
diff --git a/Operating Systems/Shortest Job First CPU Scheduling Algorithm/CPP/README.md b/Operating Systems/Shortest Job First CPU Scheduling Algorithm/CPP/README.md
new file mode 100644
index 00000000..09bc186e
--- /dev/null
+++ b/Operating Systems/Shortest Job First CPU Scheduling Algorithm/CPP/README.md	
@@ -0,0 +1 @@
+It is Shortest Job First CPU Scheduling Algorithm written in CPP used in the Operating Systems.
diff --git a/Operating Systems/Synchronisation Solutions/bakeryAlgorithm.cpp b/Operating Systems/Synchronisation Solutions/bakeryAlgorithm.cpp
new file mode 100644
index 00000000..db3326cd
--- /dev/null
+++ b/Operating Systems/Synchronisation Solutions/bakeryAlgorithm.cpp	
@@ -0,0 +1,103 @@
+#include <iostream>
+#include <pthread.h>
+#include <map>
+
+using namespace std;
+
+// Bakery's Algorithm to synchronisation problem is many processes feasible
+// solution. In this program I am using using threads in instead of 
+// processes for better interaction between threads and use global variable
+// easily.
+
+int value = 0;
+
+// Synchronisation public variables
+map<pthread_t, int> choosing, number;
+
+void delay (int time) {
+	for (int i = 0; i < time * 10000000; i++);
+}
+
+int maxNumber () {
+	map<pthread_t, int> :: iterator j;
+	int maxx = 0;
+	
+	for (j = number.begin(); j != number.end(); j++) {
+		if (j->second > maxx) {
+			maxx = j->second;
+		}
+	}
+	
+	return maxx;
+}
+
+bool maxPair(int a1, int a2, int b1, int b2) {
+	if (a1 < b1) {
+		return 1;
+	} else if (a1 > b2) {
+		return 0;
+	} else {
+		if (a2 < b2) {
+			return 1;
+		} else {
+			return 0;
+		}
+	}
+}
+
+void criticalSection(int change, int thread) {
+	printf ("\nRead by thread: %d", thread);
+	int k = value;
+	
+	delay (1);
+	
+	printf ("\nCalculate by thread: %d", thread);
+	k = k+change;
+	
+	delay (2);
+	
+	printf ("\nStore by thread: %d", thread);
+	value = k;
+}
+
+void* thread(void* params) {
+
+	int* p = (int*) params;
+	int change = *p;
+
+	int threadId = pthread_self();
+	
+	map<pthread_t, int> :: iterator j;
+
+	for (int i = 0; i < 10; i++) {
+		// Entry section 
+		choosing[threadId] = 1;
+		number[threadId] = maxNumber()+1;
+		choosing[threadId] =  0;
+		for (j = choosing.begin(); j != choosing.end(); j++) {
+   			while(j->second);
+   			while(number[j->first] && maxPair(number[j->first], j->first, number[threadId], threadId));
+		}
+
+		criticalSection(change, pthread_self());	
+
+		//Exit Section
+		number[threadId]=0;
+	}
+}
+
+int main() {
+	pthread_t threadId[3];
+
+	int k0 = 10, k1 = 20, k2 = -5;
+	pthread_create(&threadId[0], NULL, thread, (void*) &k0);
+	pthread_create(&threadId[1], NULL, thread, (void*) &k1);
+	pthread_create(&threadId[2], NULL, thread, (void*) &k2);
+	
+	pthread_join(threadId[0], NULL);
+	pthread_join(threadId[1], NULL);
+	pthread_join(threadId[2], NULL);
+
+	printf ("\nvalue = %d\n", value);
+	return 0;
+}
diff --git a/Operating Systems/Synchronisation Solutions/petersonsSolution.cpp b/Operating Systems/Synchronisation Solutions/petersonsSolution.cpp
new file mode 100644
index 00000000..9607e353
--- /dev/null
+++ b/Operating Systems/Synchronisation Solutions/petersonsSolution.cpp	
@@ -0,0 +1,77 @@
+#include <iostream>
+#include <pthread.h>
+
+using namespace std;
+
+// Peterson's solution to synchronisation problem is 2 process feasible
+// solution. In this program I am using using 2 threads in instead of 
+// processes.
+
+int value = 0;
+
+// Synchronisation public variables
+int flag[2], turn = 0;
+
+void delay (int time) {
+	for (int i = 0; i < time * 100000000; i++);
+}
+
+void criticalSection(int change, int thread) {
+	printf ("\nRead by thread: %d", thread);
+	int k = value;
+	
+	delay (1);
+	
+	printf ("\nCalculate by thread: %d", thread);
+	k = k+change;
+	
+	delay (2);
+	
+	printf ("\nStore by thread: %d", thread);
+	value = k;
+}
+
+void* thread0(void* params) {
+
+	for (int i = 0; i < 10; i++) {
+		// Entry section 
+		flag[0] = 1;
+		turn = 1;
+		while (flag[1] && turn == 1);
+
+		criticalSection(100, 0);	
+
+		//Exit Section
+		flag[0] = 0;
+	}
+}
+
+void* thread1(void* params) {
+
+	for (int i = 0; i < 10; i++) {
+		// Entry section 
+		flag[1] = 1;
+		turn = 0;
+		while (flag[0] && turn == 0);
+
+		criticalSection(-20, 1);	
+
+		//Exit Section
+		flag[1] = 0;
+	}
+}
+
+int main() {
+	pthread_t threadId[2];
+
+	pthread_create(&threadId[0], NULL, thread0, NULL);
+
+	pthread_create(&threadId[1], NULL, thread1, NULL);
+
+	pthread_join(threadId[0], NULL);
+	pthread_join(threadId[1], NULL);
+
+
+	printf ("\nvalue = %d\n", value);
+	return 0;
+}
diff --git a/Parentheses_Matching.py b/Parentheses_Matching.py
new file mode 100644
index 00000000..466cd13c
--- /dev/null
+++ b/Parentheses_Matching.py
@@ -0,0 +1,26 @@
+# Python3 code to Check for balanced parentheses in an expression 
+open_list = ["[","{","("] 
+close_list = ["]","}",")"] 
+
+# Function to check parentheses 
+def check(myStr): 
+	stack = [] 
+	for i in myStr: 
+		if i in open_list: 
+			stack.append(i) 
+		elif i in close_list: 
+			pos = close_list.index(i) 
+			if ((len(stack) > 0) and
+				(open_list[pos] == stack[len(stack)-1])): 
+				stack.pop() 
+			else: 
+				return "Unbalanced"
+	if len(stack) == 0: 
+		return "Balanced"
+
+# Driver code 
+string = "{[]{()}}"
+print(string,"-", check(string)) 
+
+string = "[{}{})(]"
+print(string,"-", check(string)) 
diff --git a/Permutations/next_greatest_permutation.py b/Permutations/next_greatest_permutation.py
new file mode 100644
index 00000000..415acb56
--- /dev/null
+++ b/Permutations/next_greatest_permutation.py
@@ -0,0 +1,44 @@
+# -*- coding: utf-8 -*-
+"""
+Created on Tue Oct 15 18:11:37 2019
+
+@author: Vidhan Jhawar
+"""
+
+'''
+Narayana Pandit's algorithm to find next lexicographically greatest permutation
+
+Algorithm:
+1. Find the largest index k such that a[k] < a[k + 1]. If no such index exists, the permutation is the last permutation.
+2. Find the largest index l greater than k such that a[k] < a[l].
+3. Swap the value of a[k] with that of a[l].
+4. Reverse the sequence from a[k + 1] up to and including the final element a[n].
+'''
+
+import math
+
+def nextGreater(w):
+    w=list(w)
+    l=len(w)
+    flag=1
+    for i in range(l-2,-1,-1):
+        if(w[i]<w[i+1]):
+            flag=0
+            break
+    if(flag==1):
+        return 'no answer'
+    for j in range(l-1,i,-1):
+        if(w[j]>w[i]):
+            break
+    temp=w[i]
+    w[i]=w[j]
+    w[j]=temp
+    for k in range(i+1,math.ceil((l+i-1)/2)+1):
+        temp=w[k]
+        w[k]=w[l-k+i]
+        w[l-k+i]=temp
+    return ''.join(w)
+
+if __name__ == '__main__':
+    w=input()
+    print(nextGreater(w))
\ No newline at end of file
diff --git a/Python/.idea/Python.iml b/Python/.idea/Python.iml
new file mode 100644
index 00000000..67116063
--- /dev/null
+++ b/Python/.idea/Python.iml
@@ -0,0 +1,11 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<module type="PYTHON_MODULE" version="4">
+  <component name="NewModuleRootManager">
+    <content url="file://$MODULE_DIR$" />
+    <orderEntry type="inheritedJdk" />
+    <orderEntry type="sourceFolder" forTests="false" />
+  </component>
+  <component name="TestRunnerService">
+    <option name="PROJECT_TEST_RUNNER" value="Unittests" />
+  </component>
+</module>
\ No newline at end of file
diff --git a/Python/.idea/inspectionProfiles/profiles_settings.xml b/Python/.idea/inspectionProfiles/profiles_settings.xml
new file mode 100644
index 00000000..105ce2da
--- /dev/null
+++ b/Python/.idea/inspectionProfiles/profiles_settings.xml
@@ -0,0 +1,6 @@
+<component name="InspectionProjectProfileManager">
+  <settings>
+    <option name="USE_PROJECT_PROFILE" value="false" />
+    <version value="1.0" />
+  </settings>
+</component>
\ No newline at end of file
diff --git a/Python/.idea/misc.xml b/Python/.idea/misc.xml
new file mode 100644
index 00000000..86561143
--- /dev/null
+++ b/Python/.idea/misc.xml
@@ -0,0 +1,7 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="JavaScriptSettings">
+    <option name="languageLevel" value="ES6" />
+  </component>
+  <component name="ProjectRootManager" version="2" project-jdk-name="Python 3.7" project-jdk-type="Python SDK" />
+</project>
\ No newline at end of file
diff --git a/Python/.idea/modules.xml b/Python/.idea/modules.xml
new file mode 100644
index 00000000..3097039a
--- /dev/null
+++ b/Python/.idea/modules.xml
@@ -0,0 +1,8 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="ProjectModuleManager">
+    <modules>
+      <module fileurl="file://$PROJECT_DIR$/.idea/Python.iml" filepath="$PROJECT_DIR$/.idea/Python.iml" />
+    </modules>
+  </component>
+</project>
\ No newline at end of file
diff --git a/Python/.idea/vcs.xml b/Python/.idea/vcs.xml
new file mode 100644
index 00000000..6c0b8635
--- /dev/null
+++ b/Python/.idea/vcs.xml
@@ -0,0 +1,6 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="VcsDirectoryMappings">
+    <mapping directory="$PROJECT_DIR$/.." vcs="Git" />
+  </component>
+</project>
\ No newline at end of file
diff --git a/Python/.idea/workspace.xml b/Python/.idea/workspace.xml
new file mode 100644
index 00000000..0a5acbee
--- /dev/null
+++ b/Python/.idea/workspace.xml
@@ -0,0 +1,105 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="ChangeListManager">
+    <list default="true" id="be4b19dc-47da-43f4-9cff-5a35d13bf9c1" name="Default Changelist" comment="" />
+    <option name="EXCLUDED_CONVERTED_TO_IGNORED" value="true" />
+    <option name="SHOW_DIALOG" value="false" />
+    <option name="HIGHLIGHT_CONFLICTS" value="true" />
+    <option name="HIGHLIGHT_NON_ACTIVE_CHANGELIST" value="false" />
+    <option name="LAST_RESOLUTION" value="IGNORE" />
+  </component>
+  <component name="FileTemplateManagerImpl">
+    <option name="RECENT_TEMPLATES">
+      <list>
+        <option value="Python Script" />
+      </list>
+    </option>
+  </component>
+  <component name="Git.Settings">
+    <option name="RECENT_GIT_ROOT_PATH" value="$PROJECT_DIR$/.." />
+  </component>
+  <component name="ProjectId" id="1Sk9U2NkRojsjgjv1YmHHbyOUYv" />
+  <component name="ProjectLevelVcsManager" settingsEditedManually="true" />
+  <component name="PropertiesComponent">
+    <property name="WebServerToolWindowFactoryState" value="false" />
+    <property name="last_opened_file_path" value="$PROJECT_DIR$" />
+    <property name="node.js.detected.package.eslint" value="true" />
+    <property name="node.js.detected.package.tslint" value="true" />
+    <property name="node.js.path.for.package.eslint" value="project" />
+    <property name="node.js.path.for.package.tslint" value="project" />
+    <property name="node.js.selected.package.eslint" value="(autodetect)" />
+    <property name="node.js.selected.package.tslint" value="(autodetect)" />
+  </component>
+  <component name="RunDashboard">
+    <option name="ruleStates">
+      <list>
+        <RuleState>
+          <option name="name" value="ConfigurationTypeDashboardGroupingRule" />
+        </RuleState>
+        <RuleState>
+          <option name="name" value="StatusDashboardGroupingRule" />
+        </RuleState>
+      </list>
+    </option>
+  </component>
+  <component name="RunManager">
+    <configuration name="EulerTotientFunction" type="PythonConfigurationType" factoryName="Python" temporary="true">
+      <module name="Python" />
+      <option name="INTERPRETER_OPTIONS" value="" />
+      <option name="PARENT_ENVS" value="true" />
+      <envs>
+        <env name="PYTHONUNBUFFERED" value="1" />
+      </envs>
+      <option name="SDK_HOME" value="" />
+      <option name="WORKING_DIRECTORY" value="$PROJECT_DIR$" />
+      <option name="IS_MODULE_SDK" value="true" />
+      <option name="ADD_CONTENT_ROOTS" value="true" />
+      <option name="ADD_SOURCE_ROOTS" value="true" />
+      <EXTENSION ID="PythonCoverageRunConfigurationExtension" runner="coverage.py" />
+      <option name="SCRIPT_NAME" value="$PROJECT_DIR$/EulerTotientFunction.py" />
+      <option name="PARAMETERS" value="" />
+      <option name="SHOW_COMMAND_LINE" value="false" />
+      <option name="EMULATE_TERMINAL" value="false" />
+      <option name="MODULE_MODE" value="false" />
+      <option name="REDIRECT_INPUT" value="false" />
+      <option name="INPUT_FILE" value="" />
+      <method v="2" />
+    </configuration>
+    <recent_temporary>
+      <list>
+        <item itemvalue="Python.EulerTotientFunction" />
+      </list>
+    </recent_temporary>
+  </component>
+  <component name="SvnConfiguration">
+    <configuration />
+  </component>
+  <component name="TaskManager">
+    <task active="true" id="Default" summary="Default task">
+      <changelist id="be4b19dc-47da-43f4-9cff-5a35d13bf9c1" name="Default Changelist" comment="" />
+      <created>1572096738437</created>
+      <option name="number" value="Default" />
+      <option name="presentableId" value="Default" />
+      <updated>1572096738437</updated>
+      <workItem from="1572096739680" duration="1905000" />
+    </task>
+    <servers />
+  </component>
+  <component name="TypeScriptGeneratedFilesManager">
+    <option name="version" value="1" />
+  </component>
+  <component name="Vcs.Log.Tabs.Properties">
+    <option name="TAB_STATES">
+      <map>
+        <entry key="MAIN">
+          <value>
+            <State />
+          </value>
+        </entry>
+      </map>
+    </option>
+  </component>
+  <component name="com.intellij.coverage.CoverageDataManagerImpl">
+    <SUITE FILE_PATH="coverage/Python$EulerTotientFunction.coverage" NAME="EulerTotientFunction Coverage Results" MODIFIED="1572098065771" SOURCE_PROVIDER="com.intellij.coverage.DefaultCoverageFileProvider" RUNNER="coverage.py" COVERAGE_BY_TEST_ENABLED="true" COVERAGE_TRACING_ENABLED="false" WORKING_DIRECTORY="$PROJECT_DIR$" />
+  </component>
+</project>
\ No newline at end of file
diff --git a/Python/BubbleSort.py b/Python/BubbleSort.py
new file mode 100644
index 00000000..ade42510
--- /dev/null
+++ b/Python/BubbleSort.py
@@ -0,0 +1,18 @@
+# -*- coding: utf-8 -*-
+def bubble_sort(nums):
+    # We set swapped to True so the loop looks runs at least once
+    swapped = True
+    while swapped:
+        swapped = False
+        for i in range(len(nums) - 1):
+            if nums[i] > nums[i + 1]:
+                # Swap the elements
+                nums[i], nums[i + 1] = nums[i + 1], nums[i]
+                # Set the flag to True so we'll loop again
+                swapped = True
+
+
+if __name__ == '__main__':
+    nums = [9, 12, 8, 6, 3]
+    bubble_sort(nums)
+    print(nums)
diff --git a/Python/EulerTotientFunction.py b/Python/EulerTotientFunction.py
new file mode 100644
index 00000000..3bd773bd
--- /dev/null
+++ b/Python/EulerTotientFunction.py
@@ -0,0 +1,41 @@
+def prime_factors(n):
+    i = 2
+    factors = [1]
+    while i * i <= n:
+        if n % i:
+            i += 1
+        else:
+            n //= i
+            factors.append(i)
+    if n > 1:
+        factors.append(n)
+    return factors
+
+
+def is_prime(list):
+    if len(list) == 2:
+        return True
+    else:
+        return False
+
+
+def prime_powers():
+    list = [1, 2, 2, 3, 3]
+    output_list = []
+    for i in range(1, len(list) - 1):
+        if list[i] == list[i + 1]:
+            output_list.append(list[i] * list[i + 1])
+    print(output_list)
+
+def
+n = int(input("Input Number?"))
+factors_n = prime_factors(n)
+print(factors_n)
+
+if is_prime(factors_n):
+    phi_n = n-1
+
+
+print(phi_n)
+
+#made some cool changes
\ No newline at end of file
diff --git a/Python/HeapSort.py b/Python/HeapSort.py
new file mode 100644
index 00000000..16adf7f2
--- /dev/null
+++ b/Python/HeapSort.py
@@ -0,0 +1,45 @@
+# To heapify subtree rooted at index i.
+# n is size of heap
+def heapify(arr, n, i):
+    large = i  # Initialize large as root
+    l = 2 * i + 1     # left = 2*i + 1
+    r = 2 * i + 2     # right = 2*i + 2
+ 
+    # If left child of root exists and is
+    # greater than root
+    if l < n and arr[i] < arr[l]:
+        large = l
+ 
+    # If right child of root exists and is
+    # greater than root
+    if r < n and arr[large] < arr[r]:
+        large = r
+ 
+    # Change root, if needed
+    if large != i:
+        arr[i],arr[large] = arr[large],arr[i]  #swapping done
+ 
+        # Heapify the root.
+        heapify(arr, n, large)
+ 
+
+def heapSort(arr):
+    n = len(arr)
+ 
+    # Build a maxheap.
+    for i in range(n, -1, -1):
+        heapify(arr, n, i)
+ 
+    # One by one extract elements
+    for i in range(n-1, 0, -1):
+        arr[i], arr[0] = arr[0], arr[i]   # swapping done
+        heapify(arr, i, 0)
+ 
+
+s = input()
+arr = list(map(int, s.split()))
+heapSort(arr)
+n = len(arr)
+print ("Sorted array is:")
+for i in range(n):
+    print ("%d" %arr[i]),
\ No newline at end of file
diff --git a/Python/Johnson_algorithm.py b/Python/Johnson_algorithm.py
new file mode 100644
index 00000000..5b7b36af
--- /dev/null
+++ b/Python/Johnson_algorithm.py
@@ -0,0 +1,217 @@
+class Graph:
+    def __init__(self):
+        # dictionary containing keys that map to the corresponding vertex object
+        self.vertices = {}
+ 
+    def add_vertex(self, key):
+        """Add a vertex with the given key to the graph."""
+        vertex = Vertex(key)
+        self.vertices[key] = vertex
+ 
+    def get_vertex(self, key):
+        """Return vertex object with the corresponding key."""
+        return self.vertices[key]
+ 
+    def __contains__(self, key):
+        return key in self.vertices
+ 
+    def add_edge(self, src_key, dest_key, weight=1):
+        """Add edge from src_key to dest_key with given weight."""
+        self.vertices[src_key].add_neighbour(self.vertices[dest_key], weight)
+ 
+    def does_edge_exist(self, src_key, dest_key):
+        """Return True if there is an edge from src_key to dest_key."""
+        return self.vertices[src_key].does_it_point_to(self.vertices[dest_key])
+ 
+    def __len__(self):
+        return len(self.vertices)
+ 
+    def __iter__(self):
+        return iter(self.vertices.values())
+ 
+ 
+class Vertex:
+    def __init__(self, key):
+        self.key = key
+        self.points_to = {}
+ 
+    def get_key(self):
+        """Return key corresponding to this vertex object."""
+        return self.key
+ 
+    def add_neighbour(self, dest, weight):
+        """Make this vertex point to dest with given edge weight."""
+        self.points_to[dest] = weight
+ 
+    def get_neighbours(self):
+        """Return all vertices pointed to by this vertex."""
+        return self.points_to.keys()
+ 
+    def get_weight(self, dest):
+        """Get weight of edge from this vertex to dest."""
+        return self.points_to[dest]
+ 
+    def set_weight(self, dest, weight):
+        """Set weight of edge from this vertex to dest."""
+        self.points_to[dest] = weight
+ 
+    def does_it_point_to(self, dest):
+        """Return True if this vertex points to dest."""
+        return dest in self.points_to
+ 
+ 
+def johnson(g):
+    """Return distance where distance[u][v] is the min distance from u to v.
+ 
+    distance[u][v] is the shortest distance from vertex u to v.
+ 
+    g is a Graph object which can have negative edge weights.
+    """
+    # add new vertex q
+    g.add_vertex('q')
+    # let q point to all other vertices in g with zero-weight edges
+    for v in g:
+        g.add_edge('q', v.get_key(), 0)
+ 
+    # compute shortest distance from vertex q to all other vertices
+    bell_dist = bellman_ford(g, g.get_vertex('q'))
+ 
+    # set weight(u, v) = weight(u, v) + bell_dist(u) - bell_dist(v) for each
+    # edge (u, v)
+    for v in g:
+        for n in v.get_neighbours():
+            w = v.get_weight(n)
+            v.set_weight(n, w + bell_dist[v] - bell_dist[n])
+ 
+    # remove vertex q
+    # This implementation of the graph stores edge (u, v) in Vertex object u
+    # Since no other vertex points back to q, we do not need to worry about
+    # removing edges pointing to q from other vertices.
+    del g.vertices['q']
+ 
+    # distance[u][v] will hold smallest distance from vertex u to v
+    distance = {}
+    # run dijkstra's algorithm on each source vertex
+    for v in g:
+        distance[v] = dijkstra(g, v)
+ 
+    # correct distances
+    for v in g:
+        for w in g:
+            distance[v][w] += bell_dist[w] - bell_dist[v]
+ 
+    # correct weights in original graph
+    for v in g:
+        for n in v.get_neighbours():
+            w = v.get_weight(n)
+            v.set_weight(n, w + bell_dist[n] - bell_dist[v])
+ 
+    return distance
+ 
+ 
+def bellman_ford(g, source):
+    """Return distance where distance[v] is min distance from source to v.
+ 
+    This will return a dictionary distance.
+ 
+    g is a Graph object which can have negative edge weights.
+    source is a Vertex object in g.
+    """
+    distance = dict.fromkeys(g, float('inf'))
+    distance[source] = 0
+ 
+    for _ in range(len(g) - 1):
+        for v in g:
+            for n in v.get_neighbours():
+                distance[n] = min(distance[n], distance[v] + v.get_weight(n))
+ 
+    return distance
+ 
+ 
+def dijkstra(g, source):
+    """Return distance where distance[v] is min distance from source to v.
+ 
+    This will return a dictionary distance.
+ 
+    g is a Graph object.
+    source is a Vertex object in g.
+    """
+    unvisited = set(g)
+    distance = dict.fromkeys(g, float('inf'))
+    distance[source] = 0
+ 
+    while unvisited != set():
+        # find vertex with minimum distance
+        closest = min(unvisited, key=lambda v: distance[v])
+ 
+        # mark as visited
+        unvisited.remove(closest)
+ 
+        # update distances
+        for neighbour in closest.get_neighbours():
+           if neighbour in unvisited:
+               new_distance = distance[closest] + closest.get_weight(neighbour)
+               if distance[neighbour] > new_distance:
+                   distance[neighbour] = new_distance
+ 
+    return distance
+ 
+ 
+g = Graph()
+print('Menu')
+print('add vertex <key>')
+print('add edge <src> <dest> <weight>')
+print('johnson')
+print('display')
+print('quit')
+ 
+while True:
+    do = input('What would you like to do? ').split()
+ 
+    operation = do[0]
+    if operation == 'add':
+        suboperation = do[1]
+        if suboperation == 'vertex':
+            key = int(do[2])
+            if key not in g:
+                g.add_vertex(key)
+            else:
+                print('Vertex already exists.')
+        elif suboperation == 'edge':
+            src = int(do[2])
+            dest = int(do[3])
+            weight = int(do[4])
+            if src not in g:
+                print('Vertex {} does not exist.'.format(src))
+            elif dest not in g:
+                print('Vertex {} does not exist.'.format(dest))
+            else:
+                if not g.does_edge_exist(src, dest):
+                    g.add_edge(src, dest, weight)
+                else:
+                    print('Edge already exists.')
+ 
+    elif operation == 'johnson':
+        distance = johnson(g)
+        print('Shortest distances:')
+        for start in g:
+            for end in g:
+                print('{} to {}'.format(start.get_key(), end.get_key()), end=' ')
+                print('distance {}'.format(distance[start][end]))
+ 
+    elif operation == 'display':
+        print('Vertices: ', end='')
+        for v in g:
+            print(v.get_key(), end=' ')
+        print()
+ 
+        print('Edges: ')
+        for v in g:
+            for dest in v.get_neighbours():
+                w = v.get_weight(dest)
+                print('(src={}, dest={}, weight={}) '.format(v.get_key(),
+                                                             dest.get_key(), w))
+        print()
+ 
+    elif operation == 'quit':
+        break
diff --git a/Python/MergeSort.py b/Python/MergeSort.py
new file mode 100644
index 00000000..a785a60b
--- /dev/null
+++ b/Python/MergeSort.py
@@ -0,0 +1,56 @@
+# -*- coding: utf-8 -*-
+def merge(left_list, right_list):
+    sorted_list = []
+    left_list_index = right_list_index = 0
+
+    # We use the list lengths often, so its handy to make variables
+    left_list_length, right_list_length = len(left_list), len(right_list)
+
+    for _ in range(left_list_length + right_list_length):
+        if left_list_index < left_list_length and right_list_index < right_list_length:
+            # We check which value from the start of each list is smaller
+            # If the item at the beginning of the left list is smaller, add it
+            # to the sorted list
+            if left_list[left_list_index] <= right_list[right_list_index]:
+                sorted_list.append(left_list[left_list_index])
+                left_list_index += 1
+            # If the item at the beginning of the right list is smaller, add it
+            # to the sorted list
+            else:
+                sorted_list.append(right_list[right_list_index])
+                right_list_index += 1
+
+        # If we've reached the end of the of the left list, add the elements
+        # from the right list
+        elif left_list_index == left_list_length:
+            sorted_list.append(right_list[right_list_index])
+            right_list_index += 1
+        # If we've reached the end of the of the right list, add the elements
+        # from the left list
+        elif right_list_index == right_list_length:
+            sorted_list.append(left_list[left_list_index])
+            left_list_index += 1
+
+    return sorted_list
+
+
+def merge_sort(nums):
+    # If the list is a single element, return it
+    if len(nums) <= 1:
+        return nums
+
+    # Use floor division to get midpoint, indices must be integers
+    mid = len(nums) // 2
+
+    # Sort and merge each half
+    left_list = merge_sort(nums[:mid])
+    right_list = merge_sort(nums[mid:])
+
+    # Merge the sorted lists into a new one
+    return merge(left_list, right_list)
+
+# time complexity : O(nlog(n))
+if __name__ == '__main__':
+    nums = [210, 24, 60, 300, 180]
+    sorted_nums = merge_sort(nums)
+    print(sorted_nums)
diff --git a/Python/Multilevel-Feedback-Queue.py b/Python/Multilevel-Feedback-Queue.py
new file mode 100644
index 00000000..4d7c9bf7
--- /dev/null
+++ b/Python/Multilevel-Feedback-Queue.py
@@ -0,0 +1,59 @@
+class process:
+    def __init__(self,process_id,arrival_time,burst_time,priority,q,ready):
+        self.process_id=process_id
+        self.arrival_time=arrival_time
+        self.burst_time=burst_time
+        self.priority=priority
+        self.ready=ready
+        self.q=q
+    
+    
+def Queue(t1):
+    t1=int(t1)
+    if(t1==0 or t1==1 or t1==2 or t1==3):
+        return 1
+    else:
+        return 2
+
+
+limit=int(input("Enter Total Number of Processes:"))
+
+Process=[]
+for i in range(limit):
+    pid=int(input("Process ID:"))
+    time=int(input("Arrival Time:"))
+    btime=int(input("Burst Time:"))
+    priority=int(input("Process Priority:"))
+    q=Queue(priority)
+    ready=0
+    Process_1=process(process_id=pid,arrival_time=time,burst_time=btime,priority=priority,q=q,ready=ready)
+    Process.append(Process_1)
+
+time=Process[0].burst_time
+for i in range(limit):
+    for count in range(limit):
+        if Process[count].arrival_time<time:
+            Process[count].ready=1
+    for count in range(i,limit-1):
+        for j in range(count+1,limit):
+            if Process[count].ready==1 and Process[j].ready==1:
+                if Process[count].q==2 and Process[j].q ==1:
+                    temp=Process[count]
+                    Process[count]=Process[j]
+                    Process[j]=temp
+    for count in range(i,limit-1):
+        for j in range(count+1,limit):
+            if Process[count].ready==1 and Process[j].ready==1:
+                if Process[count].q==1 and Process[j].q==1:
+                    if Process[count].burst_time>Process[j].burst_time:
+                        temp=Process[count]
+                        Process[count]=Process[j]
+                        Process[j]=temp
+                    else:
+                        break
+
+    print("\nProcess[%d]:\tTime:\t%d To %d\n" %(Process[i].process_id, time, time + Process[i].burst_time))
+    time=time+Process[i].burst_time
+    for count in range(i,limit):
+        if Process[count].ready==1:
+            Process[count].ready=0
\ No newline at end of file
diff --git a/Python/QuickSort.py b/Python/QuickSort.py
new file mode 100644
index 00000000..8eb753b7
--- /dev/null
+++ b/Python/QuickSort.py
@@ -0,0 +1,23 @@
+def quickSort(arr):
+    less = []
+    pivotList = []
+    more = []
+    if len(arr) <= 1:
+        return arr
+    else:
+        pivot = arr[0]
+        for i in arr:
+            if i < pivot:
+                less.append(i)
+            elif i > pivot:
+                more.append(i)
+            else:
+                pivotList.append(i)
+        less = quickSort(less)
+        more = quickSort(more)
+        return less + pivotList + more
+
+if __name__ == "__main__":
+    arr=[int(x) for x in input("Enter the array elements : ").split()]
+    a = quickSort(arr)
+    print(a)
\ No newline at end of file
diff --git a/Python/README.md b/Python/README.md
new file mode 100644
index 00000000..d940e0c5
--- /dev/null
+++ b/Python/README.md
@@ -0,0 +1 @@
+It contains some interesting programs and data structures written in the python programming language.
diff --git a/Python/RadixSort.py b/Python/RadixSort.py
new file mode 100644
index 00000000..ef419cb7
--- /dev/null
+++ b/Python/RadixSort.py
@@ -0,0 +1,31 @@
+def radixsort( aList ):
+  RADIX = 10
+  maxLength = False
+  tmp , placement = -1, 1
+ 
+  while not maxLength:
+    maxLength = True
+    # declare and initialize buckets
+    buckets = [list() for _ in range( RADIX )]
+ 
+    # split aList between lists
+    for  i in aList:
+      tmp = i / placement
+      buckets[int(tmp % RADIX)].append( i )
+      if maxLength and tmp > 0:
+        maxLength = False
+ 
+    # empty lists into aList array
+    a = 0
+    for b in range( RADIX ):
+      buck = buckets[b]
+      for i in buck:
+        aList[a] = i
+        a += 1
+ 
+    # move to next digit
+    placement *= RADIX
+
+A = [18, 5, 100, 3, 1, 19, 6, 0, 7, 4, 2]
+radixsort( A )
+print (A)
\ No newline at end of file
diff --git a/Python/Stack.py b/Python/Stack.py
new file mode 100644
index 00000000..b191f2e2
--- /dev/null
+++ b/Python/Stack.py
@@ -0,0 +1,36 @@
+class Stack:
+    """Stack implementation in Python.
+    Usage:
+        s = Stack()
+        print(s.is_empty())
+        s.push(4)
+        s.push('dog')
+        print(s.peek())
+        s.push(True)
+        print(len(s))
+        print(s.is_empty())
+        s.push(8.4)
+        print(s.pop())
+        print(s.pop())
+        print(len(s))
+     """
+     def __init__(self, items=None):
+         self.items = [] if not items else items
+
+     def is_empty(self):
+         return bool(self.items)
+
+     def push(self, item):
+         self.items.append(item)
+
+     def pop(self):
+         if len(self.items) == 0:
+             return None
+         return self.items.pop()
+
+     def peek(self):
+         return self.items[len(self.items) - 1]
+
+     def __len__(self):
+         return len(self.items)
+
diff --git a/Python/Trie/Trie.py b/Python/Trie/Trie.py
new file mode 100644
index 00000000..08438721
--- /dev/null
+++ b/Python/Trie/Trie.py
@@ -0,0 +1,88 @@
+class TrieNode: 
+      
+    # Trie node class 
+    def __init__(self): 
+        self.children = [None]*26
+  
+        # isEndOfWord is True if node represent the end of the word 
+        self.isEndOfWord = False
+  
+class Trie: 
+      
+    # Trie data structure class 
+    def __init__(self): 
+        self.root = self.getNode() 
+  
+    def getNode(self): 
+      
+        # Returns new trie node (initialized to NULLs) 
+        return TrieNode() 
+  
+    def _charToIndex(self,ch): 
+          
+        # private helper function 
+        # Converts key current character into index 
+        # use only 'a' through 'z' and lower case 
+          
+        return ord(ch)-ord('a') 
+  
+  
+    def insert(self,key): 
+          
+        # If not present, inserts key into trie 
+        # If the key is prefix of trie node,  
+        # just marks leaf node 
+        pCrawl = self.root 
+        length = len(key) 
+        for level in range(length): 
+            index = self._charToIndex(key[level]) 
+  
+            # if current character is not present 
+            if not pCrawl.children[index]: 
+                pCrawl.children[index] = self.getNode() 
+            pCrawl = pCrawl.children[index] 
+  
+        # mark last node as leaf 
+        pCrawl.isEndOfWord = True
+  
+    def search(self, key): 
+          
+        # Search key in the trie 
+        # Returns true if key presents  
+        # in trie, else false 
+        pCrawl = self.root 
+        length = len(key) 
+        for level in range(length): 
+            index = self._charToIndex(key[level]) 
+            if not pCrawl.children[index]: 
+                return False
+            pCrawl = pCrawl.children[index] 
+  
+        return pCrawl != None and pCrawl.isEndOfWord 
+  
+# driver function 
+def main(): 
+  
+    # Input keys (use only 'a' through 'z' and lower case) 
+    keys = ["the","a","there","anaswe","any", 
+            "by","their"] 
+    output = ["Not present in trie", 
+              "Present in trie"] 
+  
+    # Trie object 
+    t = Trie() 
+  
+    # Construct trie 
+    for key in keys: 
+        t.insert(key)
+
+    
+    # Search for different keys 
+    print("{} ---- {}".format("the",output[t.search("the")])) 
+    print("{} ---- {}".format("these",output[t.search("these")])) 
+    print("{} ---- {}".format("their",output[t.search("their")])) 
+    print("{} ---- {}".format("thaw",output[t.search("thaw")])) 
+  
+if __name__ == '__main__': 
+    main() 
+  
diff --git a/Python/binary-search.py b/Python/binary-search.py
new file mode 100644
index 00000000..1b5c026f
--- /dev/null
+++ b/Python/binary-search.py
@@ -0,0 +1,20 @@
+def binary_search(item_list,item):
+    first = 0
+    last = len(item_list)-1
+    print(last)
+    found = False
+    while( first<=last and not found):
+        mid = (first + last)//2
+        print(mid)
+        if item_list[mid] == item :
+            found = True
+            return found
+        else:
+            if item < item_list[mid]:
+                last = mid - 1
+            else:
+                first = mid + 1    
+        
+	    
+print(binary_search([1,2,3,5,8], 6))
+print(binary_search([1,2,3,5,8], 5))
diff --git a/Python/cosine_similarity.py b/Python/cosine_similarity.py
new file mode 100644
index 00000000..7af282cf
--- /dev/null
+++ b/Python/cosine_similarity.py
@@ -0,0 +1,21 @@
+# -*- coding: utf-8 -*-
+import numpy as np
+
+def cos_sim(a, b):
+	"""Takes 2 vectors a, b and returns the cosine similarity according 
+	to the definition of the dot product
+	"""
+	dot_product = np.dot(a, b)
+	norm_a = np.linalg.norm(a)
+	norm_b = np.linalg.norm(b)
+	return dot_product / (norm_a * norm_b)
+
+# the counts we computed above
+sentence_m = np.array([1, 1, 1, 1, 0, 0, 0, 0, 0]) 
+sentence_h = np.array([0, 0, 1, 1, 1, 1, 0, 0, 0])
+sentence_w = np.array([0, 0, 0, 1, 0, 0, 1, 1, 1])
+
+# We should expect sentence_m and sentence_h to be more similar
+print(cos_sim(sentence_m, sentence_m)) # 1.0
+print(cos_sim(sentence_m, sentence_h)) # 0.5
+print(cos_sim(sentence_m, sentence_w)) # 0.25
diff --git a/Python/dijkstra.py b/Python/dijkstra.py
new file mode 100644
index 00000000..292efa7b
--- /dev/null
+++ b/Python/dijkstra.py
@@ -0,0 +1,78 @@
+from collections import defaultdict, deque
+
+
+class Graph(object):
+    def __init__(self):
+        self.nodes = set()
+        self.edges = defaultdict(list)
+        self.distances = {}
+
+    def add_node(self, value):
+        self.nodes.add(value)
+
+    def add_edge(self, from_node, to_node, distance):
+        self.edges[from_node].append(to_node)
+        self.edges[to_node].append(from_node)
+        self.distances[(from_node, to_node)] = distance
+
+
+def dijkstra(graph, initial):
+    #visited array initalized to 0
+    visited = {initial: 0}
+    path = {}
+
+    nodes = set(graph.nodes)
+    #while nodes is not empty
+    while nodes:
+        min_node = None
+        for node in nodes:
+            if node in visited:
+                if min_node is None:
+                    min_node = node
+                #finding min nodes in nodes
+                elif visited[node] < visited[min_node]:
+                    min_node = node
+        if min_node is None:
+            break
+        #take min node from node and check 
+        nodes.remove(min_node)
+        current_weight = visited[min_node]
+        #if new distance less than already computed distance then update it
+        for edge in graph.edges[min_node]:
+            try:
+                weight = current_weight + graph.distances[(min_node, edge)]
+            except:
+                continue
+            if edge not in visited or weight < visited[edge]:
+                visited[edge] = weight
+                path[edge] = min_node
+
+    return visited, path
+
+#function to find the shortest path from source to destination
+def shortest_path(graph, origin, destination):
+    visited, paths = dijkstra(graph, origin)
+    full_path = deque()
+    _destination = paths[destination]
+
+    while _destination != origin:
+        full_path.appendleft(_destination)
+        _destination = paths[_destination]
+
+    full_path.appendleft(origin)
+    full_path.append(destination)
+
+    return visited[destination], list(full_path)
+
+if __name__ == '__main__':
+    graph = Graph()
+
+    for node in ['A', 'B', 'C', 'D']:
+        graph.add_node(node)
+
+    graph.add_edge('A', 'B', 10)
+    graph.add_edge('A', 'C', 20)
+    graph.add_edge('B', 'D', 15)
+    graph.add_edge('C', 'D', 30)
+
+    print(shortest_path(graph, 'A', 'D')) 
\ No newline at end of file
diff --git a/Python/djaccard_simmiliarity.py b/Python/djaccard_simmiliarity.py
new file mode 100644
index 00000000..727bd6b0
--- /dev/null
+++ b/Python/djaccard_simmiliarity.py
@@ -0,0 +1,37 @@
+'''
+Given a list of sentence with same topics (or from a news), this function will return 
+a text which have score similiar between sentences. It will be useful to find the main sentence.
+'''
+import numpy as np
+def jaccard_similarity(str_1, str_2):
+        """ compute of intersection to get similraity score between words """
+        str_1 = set(str_1.split())
+        str_2 = set(str_2.split())
+        intersect = str_1.intersection(str_2)
+        return float(len(intersect)) / (len(str_1) + len(str_2) - len(intersect))
+
+def max_avg_jaccard_sim(sentence_list, show_avg=False):
+    """ compute of intersection each sentence in cluster, and return sentence with maximum of average similarity score between sentence """
+    sim = []
+    text_avg_sim = {}
+    for idx in range(len(sentence_list)):
+        for text in sentence_list:
+            if len(text) < 2:
+                continue
+            similarity = jaccard_similarity(sentence_list[idx], text)
+            sim.append(similarity)
+            text_avg_sim[sentence_list[idx]] = sum(sim) / len(sim)
+
+    # key of max values
+    if show_avg:
+        return max(text_avg_sim, key=text_avg_sim.get), max(text_avg_sim.values())
+    else:
+        return max(text_avg_sim, key=text_avg_sim.get)
+
+
+if __name__ == "__main__":
+    sentences = ["Manchester United midfielder Scott McTominay secured the Man-of-the Match award after the Reds’ 3-1 win at Norwich City.",
+                "The 21-year-old took home 50 per cent of your vote after netting our 21st-minute opener – which was our 2,000th strike in Premier League history.",
+                "The Scotland international said he was delighted with the team's performance, as well as securing his place in the record books."]
+    main_sent = max_avg_jaccard_sim(sentence_list=sentences)
+    print (main_sent)
\ No newline at end of file
diff --git a/Python/fastfibonacci.py b/Python/fastfibonacci.py
new file mode 100644
index 00000000..ae680bec
--- /dev/null
+++ b/Python/fastfibonacci.py
@@ -0,0 +1,45 @@
+# the method relies on the fact that if we multiply matrix [[1,1],[1,0]] with it self n times we get nth fibonacci number at (0,0)
+#place
+# Fibonacci Series : 0,1,1,2............
+
+# function that returns nth with 0 based indexing 
+
+def fastfibonacci(n): 
+	
+	f = [[1, 1], 
+		[1, 0]] 
+	if (n == 0): 
+		return 0
+	power(f, n - 1) 
+		
+	return f[0][0] 
+	
+def multiply(f, g): 
+	
+	a = (f[0][0] * g[0][0] + f[0][1] * g[1][0]) 
+	s = (f[0][0] * g[0][1] + f[0][1] * g[1][1]) 
+	d = (f[1][0] * g[0][0] + f[1][1] * g[1][0]) 
+	h = (f[1][0] * g[0][1] + f[1][1] * g[1][1]) 
+	
+	f[0][0] = a 
+	f[0][1] = s 
+	f[1][0] = d 
+	f[1][1] = h 
+		
+ 
+def power(f, n): 
+
+	if( n == 0 or n == 1): 
+		return; 
+	g = [[1, 1], 
+		[1, 0]]; 
+		
+	power(f, n // 2) 
+	multiply(f, f) 
+		
+	if (n % 2 != 0): 
+		multiply(f, g) 
+	
+
+ 
+
diff --git a/Python/fibonacci.py b/Python/fibonacci.py
new file mode 100644
index 00000000..91693afd
--- /dev/null
+++ b/Python/fibonacci.py
@@ -0,0 +1,52 @@
+
+def Fibonacci(n): 
+  if n<0: 
+    print("Incorrect input") 
+  # First Fibonacci number is 0 
+  elif n==1: 
+    return 0
+  # Second Fibonacci number is 1 
+  elif n==2: 
+    return 1
+  else: 
+    return Fibonacci(n-1)+Fibonacci(n-2) 
+  
+#Fibonacci with Looping
+def FibonacciLoop(n):
+  if n == 1:
+    return 0
+  for i in range(1 + n):
+    if i == 0:
+        sums = after = 0
+    elif i == 1:
+        sums = before = 1
+    else:
+        sums = before + after
+        before = after
+        after = sums
+  return sums
+        
+# Fibonacci with matrix multiplication
+# (f[1], f[2]) * P = (f[2], f[3])
+# (f[1], f[2]) * P^n = (f[n+1], f[n+2]) 
+# P = [[0, 1],
+#      [1, 1]]
+def FibonacciBinPow(n):
+    m = [[0, 1],[1, 1]]
+
+    def multiply(a, b):
+        # basic 2x2 matrix multiplication
+        return [[a[0][0]*b[0][0]+a[0][1]*b[1][0], a[0][0]*b[0][1]+a[0][1]*b[1][1]],[a[1][0]*b[0][0]+a[1][1]*b[1][0], a[1][0]*b[0][1]+a[1][1]*b[1][1]]]
+
+    def binpow(m, p):
+        if p == 0:
+            return [[1, 0], [0, 1]]
+        if p % 2 == 0:
+            c = binpow(m, p / 2)
+            return multiply(c, c)
+        return multiply(m, binpow(m, p - 1))
+
+    return binpow([[0, 1], [1, 1]], n-1)[1][0]
+
+for i in range(1, 10):
+    print(Fibonacci(i), FibonacciLoop(i), FibonacciBinPow(i))
diff --git a/Python/invertioncount.py b/Python/invertioncount.py
new file mode 100644
index 00000000..75117aea
--- /dev/null
+++ b/Python/invertioncount.py
@@ -0,0 +1,45 @@
+#simple merge sort algorithm with invertion checking while merging
+def mergeSort(nlist,count):
+    print("Splitting ",nlist)
+   # count=0
+    if len(nlist)>1:
+        mid = len(nlist)//2
+        lefthalf = nlist[:mid]
+        righthalf = nlist[mid:]
+
+        count+=mergeSort(lefthalf,count)
+        count+=mergeSort(righthalf,count)
+        i=j=k=0       
+        while i < len(lefthalf) and j < len(righthalf):
+            if lefthalf[i] < righthalf[j]:
+                nlist[k]=lefthalf[i]
+                i=i+1
+            else:
+                nlist[k]=righthalf[j]
+                count+=mid-i
+                j=j+1
+            k=k+1
+
+        while i < len(lefthalf):
+            nlist[k]=lefthalf[i]
+            i=i+1
+            k=k+1
+
+        while j < len(righthalf):
+            nlist[k]=righthalf[j]
+            j=j+1
+            k=k+1
+    return count
+#array declaration
+arr=[]
+#Total count of invertion set to 0 at the beggining
+count=0
+print("Enter number of elements:-")
+n=int(input())
+for i in range(0,n):
+    x=int(input())
+    arr.append(x)
+print("Array elements are:")
+print(arr)
+print("Total Number of inversions are" ) 
+print(mergeSort(arr,count))
diff --git a/Python/kth_element.py b/Python/kth_element.py
new file mode 100644
index 00000000..64673af3
--- /dev/null
+++ b/Python/kth_element.py
@@ -0,0 +1,35 @@
+#!/usr/bin/python3
+
+# Usage:  kth_element(place_of_element,largest_or_smallest,array)
+# If you are looking for the 3rd largest element of "myarray": kth_element(3,'largest',myarray)
+
+def kth_element(k,large_or_small,mylist):
+
+    if large_or_small == "largest":
+        modifier = 1
+    elif large_or_small == "smallest":
+        modifier = -1
+    else:
+        print("Valid values for the sort are 'largest' or 'smallest'")
+        exit(1)
+
+    if len(mylist) < k or k < 1:
+        print("ERROR: Array size is " + str(len(mylist)) + ", but requested value is " + str(k) + "...")
+        return None
+
+    newlist = [None] * k
+
+    while len(mylist) > 0:
+        test = mylist.pop()
+        for i in range(0,k):
+            if newlist[i] == None or test * modifier > newlist[i] * modifier:
+                newlist.insert(i,test)
+                newlist.pop()
+                #print(newlist)  # Uncomment to see the value list build in action
+                break
+
+    return(newlist[k-1])
+
+if __name__ == "__main__":
+    mylist = [ 42, 39, 857, 20, 3884, 82, 0, 84, 8, 3, -50, -1000 ]
+    print(kth_element(1,'smallest',mylist))
diff --git a/Python/magic number/magic number.py b/Python/magic number/magic number.py
new file mode 100644
index 00000000..c28d7bf6
--- /dev/null
+++ b/Python/magic number/magic number.py	
@@ -0,0 +1,24 @@
+def nthMagicNo(n): 
+  
+    pow = 1
+    answer = 0
+  
+    # Go through every bit of n 
+    while (n): 
+  
+        pow = pow*5
+  
+        # If last bit of n is set 
+        if (n & 1): 
+            answer += pow
+  
+        # proceed to next bit 
+        n >>= 1 # or n = n/2 
+      
+    return answer 
+  
+  
+# Driver program to test above function 
+n = 10
+print("nth magic number is", nthMagicNo(n)) 
+  
diff --git a/Python/modularExponentPower.py b/Python/modularExponentPower.py
new file mode 100644
index 00000000..e23d51fa
--- /dev/null
+++ b/Python/modularExponentPower.py
@@ -0,0 +1,30 @@
+# Iterative Python3 program 
+# to compute modular power 
+  
+# Iterative Function to calculate 
+# (x^y)%p in O(log y)  
+def power(x, y, p) : 
+    res = 1     # Initialize result 
+  
+    # Update x if it is more 
+    # than or equal to p 
+    x = x % p  
+  
+    while (y > 0) : 
+          
+        # If y is odd, multiply 
+        # x with result 
+        if ((y & 1) == 1) : 
+            res = (res * x) % p 
+  
+        # y must be even now 
+        y = y >> 1      # y = y/2 
+        x = (x * x) % p 
+          
+    return res 
+      
+  
+# Driver Code 
+  
+x = 2; y = 5; p = 13
+print("Power is ", power(x, y, p)) 
diff --git a/Python/modularMultiplicativeInverse.py b/Python/modularMultiplicativeInverse.py
new file mode 100644
index 00000000..68b20658
--- /dev/null
+++ b/Python/modularMultiplicativeInverse.py
@@ -0,0 +1,18 @@
+# Python 3 program to find modular  
+# inverse of a under modulo m 
+  
+# A naive method to find modulor  
+# multiplicative inverse of 'a'  
+# under modulo 'm' 
+def modInverse(a, m) : 
+    a = a % m; 
+    for x in range(1, m) : 
+        if ((a * x) % m == 1) : 
+            return x 
+    return 1
+  
+# Driver Program 
+a = 3
+m = 11
+print(modInverse(a, m)) 
+  
diff --git a/Python/palindrom/palindrom.py b/Python/palindrom/palindrom.py
new file mode 100644
index 00000000..875d6763
--- /dev/null
+++ b/Python/palindrom/palindrom.py
@@ -0,0 +1,54 @@
+def checkPalindrome(string): 
+      
+    # Returns true if str is palindrome,  
+    # else false 
+    length = len(string) 
+    length -= 1
+    for i in range(length): 
+        if string[i] != string[length]: 
+            return False
+        length -= 1
+    return True
+  
+def printSolution(partitions): 
+    for i in range(len(partitions)): 
+        for j in range(len(partitions[i])): 
+            print(partitions[i][j], end = " ") 
+        print() 
+  
+def addStrings(v, s, temp, index): 
+      
+    # Goes through all indexes and  
+    # recursively add remaining partitions  
+    # if current string is palindrome. 
+    length = len(s) 
+    string = "" 
+  
+    current = temp[:] 
+  
+    if index == 0: 
+        temp = [] 
+    for i in range(index, length): 
+        string += s[i] 
+        if checkPalindrome(string): 
+            temp.append(string) 
+            if i + 1 < length: 
+                addStrings(v, s, temp[:], i + 1) 
+            else: 
+                v.append(temp) 
+            temp = current 
+  
+def partition(s, v): 
+      
+    # Generates all palindromic partitions  
+    # of 's' and stores the result in 'v'. 
+    temp = [] 
+    addStrings(v, s, temp[:], 0) 
+    printSolution(v) 
+  
+# Driver Code 
+if __name__ == "__main__": 
+    s = "geeks"
+    partitions = [] 
+    partition(s, partitions) 
+
diff --git a/Python/parenthesisBalancing.py b/Python/parenthesisBalancing.py
new file mode 100644
index 00000000..c575529e
--- /dev/null
+++ b/Python/parenthesisBalancing.py
@@ -0,0 +1,32 @@
+
+#stack is used to make parenthesis balancing checker
+
+
+def checker(inp):
+  stre=''
+  pairs={}
+  pairs[')']='('
+  pairs['}']='{'
+  pairs[']']='['
+  stack=[]
+  for i in list(inp):
+    if i==']' or i=='}' or i==')':
+      len(stack)==0 or stack.pop() != pairs[i]  ? return False:pass
+    else :
+      stack.push(i)
+  return True
+    
+  
+
+
+
+
+
+
+def main():
+  inp=str(input("Enter the word:"))
+  print ( "balanced" if checker(inp) else "un-balanced")
+  
+  
+  
+main()
diff --git a/Python/power.py b/Python/power.py
new file mode 100644
index 00000000..cf360867
--- /dev/null
+++ b/Python/power.py
@@ -0,0 +1,28 @@
+def power(x, y):
+    if(y == 0):
+        return 1
+    if(y < 0):
+        n = (1/x) * power(x, (y+1)/2)
+        return n*n
+    if(y%2 == 0):
+        m = power(x, y/2)
+        return m*m
+    else:
+        return x * power(x, y-1)
+
+def main():
+    print("To calculate x^y ...\n")
+    x = float(input("Please enter x: "))
+    y = float(input("Please enter y: "))
+
+    if(x==0):
+        if(y > 0):
+            print(0)
+        else:
+            print("x^y is not defined\n")
+    else:
+        print(power(x,y))
+    exit
+
+if __name__ == '__main__':
+    main()
\ No newline at end of file
diff --git a/Python/prims_mst.py b/Python/prims_mst.py
new file mode 100644
index 00000000..a8576b6f
--- /dev/null
+++ b/Python/prims_mst.py
@@ -0,0 +1,30 @@
+import heapq
+from collections import defaultdict
+
+g = defaultdict(list)                   # graph
+n, m = map(int, raw_input().split(' ')) # number of vertexes and edges
+weight = 0                              # weight of MST
+connected = set([])                     # set containing connected vertexes
+pq = []                                 # heap
+
+for _ in range(m):
+    u, v, c = map(int, raw_input().split(' '))
+    g[u].append((c, v))
+    g[v].append((c, u))
+
+start = int(raw_input())
+connected.add(start)
+
+for tup in g[start]:
+    heapq.heappush(pq, tup)
+
+while pq:
+    w, b = heapq.heappop(pq)
+    if b not in connected:
+        weight += w
+        connected.add(b)
+
+        for tup in g[b]:
+            heapq.heappush(pq, tup)
+
+print weight
\ No newline at end of file
diff --git a/Python/selectionsort.py b/Python/selectionsort.py
new file mode 100644
index 00000000..4e1bd2b3
--- /dev/null
+++ b/Python/selectionsort.py
@@ -0,0 +1,19 @@
+def selection_sort(a_list):
+    for i in range(len(a_list)):
+        min_pos = i
+
+        for j in range(i+1, len(a_list)):
+            if a_list[min_pos] > a_list[j]:
+                min_pos = j
+                
+        aux = a_list[i]
+        a_list[i] = a_list[min_pos]
+        a_list[min_pos] = aux
+
+    return a_list
+
+
+if __name__ == "__main__":
+    arr = [int(x) for x in input("Enter the array elements : ").split()]
+    a = selection_sort(arr)
+    print(a)
diff --git a/Python/sieveOfEratosthenes.py b/Python/sieveOfEratosthenes.py
new file mode 100644
index 00000000..2fa432e3
--- /dev/null
+++ b/Python/sieveOfEratosthenes.py
@@ -0,0 +1,31 @@
+# Python program to print all primes smaller than or equal to 
+# n using Sieve of Eratosthenes 
+
+def SieveOfEratosthenes(n): 
+	
+	# Create a boolean array "prime[0..n]" and initialize 
+	# all entries it as true. A value in prime[i] will 
+	# finally be false if i is Not a prime, else true. 
+	prime = [True for i in range(n+1)] 
+	p = 2
+	while (p * p <= n): 
+		
+		# If prime[p] is not changed, then it is a prime 
+		if (prime[p] == True): 
+			
+			# Update all multiples of p 
+			for i in range(p * p, n+1, p): 
+				prime[i] = False
+		p += 1
+	
+	# Print all prime numbers 
+	for p in range(2, n): 
+		if prime[p]: 
+			print p, 
+
+# driver program 
+if __name__=='__main__': 
+	n = 30
+	print "Following are the prime numbers smaller", 
+	print "than or equal to", n 
+	SieveOfEratosthenes(n) 
diff --git a/Python/stable-marriage-pairing.py b/Python/stable-marriage-pairing.py
new file mode 100644
index 00000000..cd66e091
--- /dev/null
+++ b/Python/stable-marriage-pairing.py
@@ -0,0 +1,410 @@
+import random  # Used in illustrative text case
+
+# ---------------------------------------functions------------------------------------
+
+
+class UnstableTableError(Exception):
+    """ Error for unstable table when no stable pairings are possible. """
+
+
+def make_proposals(preferences):
+    """ Takes in a dictionary with key equal to a participant and
+        value equal to a list of that participant's preferences.
+
+        Function iterates over each participant in order to find and return
+        a record of the proposals in the form of a dictionary.
+
+        Each participant proposes in turn using its preference list and
+        receives a proposal, accepting only the highest preferred
+        proposal using its preference list and rejecting all others.
+
+        Function returns when there are no longer any participants in the
+        priority queue (participants left needing to propose) or there are
+        no more participants to propose to.
+
+        For example:
+
+        Inputs of
+            preferences = {
+                'A': ['B', 'D', 'C'],
+                'B': ['D', 'C', 'A'],
+                'C': ['A', 'D', 'B'],
+                'D': ['A', 'B', 'C'],
+            }
+        Outputs =>
+            proposal_record = {
+                'A': ['D', 'D'],
+                'B': ['C', 'C'],
+                'C': ['B', 'B'],
+                'D': ['A', 'A'],
+            }
+    """
+    proposal_record = {}
+    proposers = []  # using non-optimal list here to represent priority queue
+
+    # Create list of proposers and empty proposal_record for each
+    for participant in preferences:
+        proposers.append(participant)
+        proposal_record[participant] = ["", ""]
+
+    # breakpoint()
+    # to show proposers and empty proposal_record
+
+    while proposers:
+        current_proposer = proposers.pop(0)
+
+        # Get current proposer's preference list of proposees
+        current_proposer_prefs = preferences[current_proposer][:]
+
+        # Propose to each proposee in order until accepted
+        for proposee in current_proposer_prefs:
+            proposee_prefs = preferences[proposee]
+            current_proposer_ranking = proposee_prefs.index(current_proposer)
+
+            # get proposal_record for proposee and proposer
+            proposee_proposal_to, proposee_proposal_from = proposal_record[proposee]
+            proposer_proposal_to, proposer_proposal_from = proposal_record[current_proposer]
+
+            # breakpoint()
+
+            # if proposee has not accepted a proposal yet
+            if not proposee_proposal_from:
+                proposal_record[proposee][1] = current_proposer
+                proposal_record[current_proposer][0] = proposee
+                break
+
+            # if current proposal is better than accepted proposal
+            elif proposee_prefs.index(proposee_proposal_from) > current_proposer_ranking:
+                proposal_record[proposee][1] = current_proposer
+                proposal_record[current_proposer][0] = proposee
+
+                # Reject previously accepted proposal symmetrically
+                # Step 1: reset rejected participant's proposal record
+                proposal_record[proposee_proposal_from][0] = ""
+                # Step 2: put rejected participant at front of priority queue
+                proposers.insert(0, proposee_proposal_from)
+                # Step 3: remove rejected pairing symmetrically from the preference list
+                preferences[proposee].remove(proposee_proposal_from)
+                preferences[proposee_proposal_from].remove(proposee)
+                break
+
+            # Otherwise, proposee prefers previously accepted proposal
+            else:
+                # Update preference lists for rejected proposal
+                preferences[proposee].remove(current_proposer)
+                preferences[current_proposer].remove(proposee)
+
+    return proposal_record
+
+
+def is_stable_table(proposal_record):
+    """ Function checks if a stable table exists.
+        Takes in dictionary of lists and iterates over each list.
+        Checks each list item is not equal to an empty string and
+        each list pair is unique.
+        Returns True, if not empty and is unique; otherwise returns False
+
+        Examples Below:
+
+        Stable table:
+            Inputs of
+                proposal_record =>
+                {
+                    'A': ['C', 'B'],
+                    'B': ['A', 'D'],
+                    'C': ['D', 'A'],
+                    'D': ['B', 'C']
+                }
+            Outputs => True
+
+        Unstable table:
+            Inputs of
+                proposal_record =>
+                {
+                    'A': ['D', 'D'],
+                    'B': ['D', 'A'],
+                    'C': ['', ''],
+                    'D': ['A', 'A']
+                }
+            Outputs => False
+    """
+    proposers = set()
+    proposees = set()
+    for (proposee, proposer) in proposal_record.values():
+        if not proposee or not proposer:
+            return False
+        if (proposer in proposers) or (proposee in proposees):
+            return False
+
+        proposers.add(proposer)
+        proposees.add(proposee)
+
+    return True
+
+
+def remove_trailing_prefs(proposal_record, preferences):
+    """ Function trims each preference list by eliminating possibilities indexed
+        after accepted proposal
+        Takes in two dictionaries: proposal_record and preference_lists
+        Returns updated preference_lists
+
+        For example:
+        Inputs of
+            proposal_record = {
+                'A': ['C', 'B'], - proposed to C and accepted proposal from B
+                'B': ['A', 'D'], - proposed to A and accepted proposal from D
+                'C': ['D', 'A'], - proposed to D and accepted proposal from A
+                'D': ['B', 'C'], - proposed to B and accepted proposal from C
+            }
+            preferences = {
+                'A': ['C', 'B', 'D'], - remove all prefs that rank lower than B
+                'B': ['A', 'C', 'D'],
+                'C': ['D', 'B', 'A'],
+                'D': ['B', 'A', 'C'], - remove 'A' since 'D' is removed from A's list
+            }
+
+        Outputs =>
+            preferences = {
+                'A': ['C', 'B'],
+                'B': ['A', 'C', 'D'],
+                'C': ['D', 'B', 'A'],
+                'D': ['B', 'C'],
+            }
+    """
+    for proposer in proposal_record:
+        proposee = proposal_record[proposer][0]
+        proposee_prefs = preferences[proposee]
+        proposer_ranking = proposee_prefs.index(proposer)
+
+        successors = proposee_prefs[proposer_ranking+1:]
+
+        # Updated proposee's preferences, removing successors
+        preferences[proposee] = proposee_prefs[:proposer_ranking+1]
+
+        # Iterate over successors, deleting proposee from own preference list
+        for successor in successors:
+            if proposee in preferences[successor]:
+                preferences[successor].remove(proposee)
+
+    return preferences
+
+
+def get_stable_match(preferences):
+    """ Function takes in dictionary of each participant's preferences and
+        finds stable pairings if it exists by iterating through
+        participants while preference lists are greater than 1.
+        Identifies cycles and removes cycle pairs to reduce participant's
+        preference lists.
+
+        Process is repeated until stable matches are found and preference
+        lists are length of 1, returning stable pairings
+        Or, returns UnstableTableError if stable matches are not possible.
+
+        Identify cycles by
+        - Creating two lists (p and q) until cycle is found in p
+            p: [participant   ],[last item of q0],[last item of q1]...
+            q: [2nd item of p0],[2nd item of p1 ],[2nd item of p2 ]...
+        - Creates cycle list to then determine pairs and removes
+
+        For example
+        Input of
+            preferences = {
+                'A': ['C', 'B'],
+                'B': ['A', 'C', 'D'],
+                'C': ['D', 'B', 'A'],
+                'D': ['B', 'C']
+            }
+
+        Identifies cycle:
+            Starting with 'A'
+                p = ['A', 'D', 'A']
+                q = ['B', 'C',]
+            Cycle found in p (p[0] == p[2])
+            Cycle list = [('D', 'B'), ('A', 'C')]
+            Pairs removed: ('B', 'C'), ('B', 'D') and ('C', 'A')
+            Process repeats
+
+        Output =>
+            preferences = {'A': ['B'], 'B': ['A'], 'C': ['D'], 'D': ['C']}
+    """
+
+    for participant in preferences:
+        p = [participant, ]
+        q = []
+
+        while len(preferences[participant]) > 1:
+            def find_cycle():
+                new_q = preferences[p[-1]][1]
+                q.append(new_q)
+                q_pref_list = preferences[new_q]
+                new_p = q_pref_list[-1]
+
+                if new_p in p:
+                    p.append(new_p)
+                    return
+
+                p.append(new_p)
+                find_cycle()
+
+            find_cycle()
+
+            # start at beginning of found cycle, create list representing cycle path
+            start = p.index(p[-1])
+            cycle = [(p[i + 1], q[i]) for i in range(start, len(p) - 1)]
+            # breakpoint()
+
+            # from cycle path, find pairs to remove
+            elimination_pairs = find_pairs_to_remove(cycle, preferences)
+
+            try:
+                preferences = remove_pairs(elimination_pairs, preferences)
+            except UnstableTableError:
+                return UnstableTableError
+
+            # reset p and q for next iteration
+            p = [participant, ]
+            q = []
+
+    return preferences
+
+
+def find_pairs_to_remove(cycle, preferences):
+    """ Find all cycle pairs to remove from each participant's preference lists.
+        Takes in a list of tuples representing a cycle path found and
+        dictionary containing each participant's preferences.
+        Returns list of tuples representing pairs to remove.
+
+        For example:
+        Input of
+            cycle = [('D', 'B'), ('A', 'C')]
+            preferences = {
+                'A': ['C', 'B'],
+                'B': ['A', 'C', 'D'],
+                'C': ['D', 'B', 'A'],
+                'D': ['B', 'C']
+            }
+
+        where participant = 'B'
+            participant_prefs = ['A', 'C', 'D']
+            first_pref = 'A'
+            successors = ['C', 'D']
+
+        Output =>
+            pairs = [('B', 'C'), ('B', 'D'), ('C', 'A')]
+    """
+    pairs = []
+    for i, (_, participant) in enumerate(cycle):
+        # grab the preference list for participant
+        participant_prefs = preferences[participant]
+        # first_pref is a pointer for where to start successors list
+        first_pref = cycle[(i - 1) % len(cycle)][0]
+        # successors is the tail of the cycle which needs to be removed
+        successors = participant_prefs[participant_prefs.index(
+            first_pref) + 1:]
+        # breakpoint()
+
+        for successor in successors:
+            pair = (participant, successor)
+            if pair not in pairs and pair[::-1] not in pairs:
+                pairs.append((participant, successor))
+    return pairs
+
+
+def remove_pairs(pairs, preferences):
+    """ Takes in list of tuples representing pairs to remove
+        and dictionary of each participant's preferences.
+        Returns updated preferences.
+
+        For example:
+        Input of
+            pairs = [('B', 'C'), ('B', 'D'), ('C', 'A')]
+            preferences = {
+                'A': ['C', 'B'],
+                'B': ['A', 'C', 'D'],
+                'C': ['D', 'B', 'A'],
+                'D': ['B', 'C']
+            }
+
+        Output =>
+            preferences = {
+                'A': ['B'],
+                'B': ['A'],
+                'C': ['D'],
+                'D': ['C']
+            }
+    """
+
+    for (left, right) in pairs:
+        preferences[left].remove(right)
+        preferences[right].remove(left)
+        if not preferences[left] or not preferences[right]:
+            raise UnstableTableError
+
+    return preferences
+
+
+def find_stable_pairings(preferences):
+    """ Takes in a dictionary with key equal to a participant and
+        value equal to a list of preferences
+
+        Returns stable pairing for each participant
+
+        For example:
+        Input of
+        preferences = {
+            "A": ["C", "B", "D"],
+            "B": ["A", "C", "D"],
+            "C": ["D", "B", "A"],
+            "D": ["B", "A", "C"],
+        }
+        Output =>
+        preferences_list = {
+            'A': ['B'],
+            'B': ['A'],
+            'C': ['D'],
+            'D': ['C']
+        }
+    """
+    proposal_record = make_proposals(preferences)
+
+    if not is_stable_table(proposal_record):
+        return UnstableTableError("No stable pairings possible")
+
+    updated_preferences = remove_trailing_prefs(
+        proposal_record,
+        preferences
+    )
+
+    try:
+        print("matching roomates are ")
+        return get_stable_match(updated_preferences)
+    except UnstableTableError:
+        return UnstableTableError("No stable pairings possible")
+
+
+# -------------------------- main code --------------------------
+
+
+# looping it 30 times so we can get alteast one no stable matching pairings
+
+for k in range(30):
+    rithm = {}
+    N = 6   # we can change here N no of roommates (N is only even)
+    for i in range(1, N+1):
+        temp = []
+        while len(temp) != N-1:
+            num = random.randint(1, N)
+            if num not in temp and num != i:
+                temp.append(num)
+        rithm[i] = temp
+
+    i = 0
+    j = 0
+    for i in range(1, N+1):
+        print(f"{i} --", end=" ")
+        for j in range(len(rithm[i])):
+            print(f"{rithm[i][j]}", end=" ")
+        print(" ")
+
+    print(find_stable_pairings(rithm))
+    print("\n")
diff --git a/Python/stable-matching-using-randomization.py b/Python/stable-matching-using-randomization.py
new file mode 100644
index 00000000..901d404c
--- /dev/null
+++ b/Python/stable-matching-using-randomization.py
@@ -0,0 +1,840 @@
+# Python3 program for stable marriage problem 
+import collections
+import numpy as np
+from random import randrange
+import matplotlib.pyplot as plt
+import math
+
+
+def calculate(prefer,N,rank):
+  cnt1=0
+  cnt2=0
+  cnt3=0
+  a=[]
+  i=0
+  for i in range(len(couple)):
+    if (prefer[N+i][rank]==couple[i]):
+      cnt1=cnt1+1
+      cnt3=cnt3+1
+  i=0
+  for i in range(len(couple)):
+    if ((N+i)==prefer[couple[i]][rank]):
+      cnt2=cnt2+1
+      cnt3=cnt3+1 
+
+  return cnt3      
+
+def calculate2(prefer,N):
+  cnt1=0
+  cnt2=0
+  cnt3=0
+  a=[]
+  i=0
+  for i in range(len(couple)):
+    j=0
+    for j in range(len(prefer[N+i])):
+      if (prefer[N+i][j]==couple[i]) and (j<(N/2)):
+        cnt1=cnt1+1
+        cnt3=cnt3+1
+  i=0
+  for i in range(len(couple)):
+    j=0
+    for j in range(len(prefer[i])):
+      if ((N+i)==prefer[couple[i]][j]) and (j<(N/2)):
+        cnt2=cnt2+1
+        cnt3=cnt3+1 
+
+  return cnt3
+
+def calculate_woman(prefer,N,rank):
+  cnt1=0
+  cnt2=0
+  cnt3=0
+  a=[]
+  i=0
+  for i in range(len(couple)):
+    if (prefer[N+i][rank]==couple[i]):
+      cnt1=cnt1+1
+      cnt3=cnt3+1
+
+  i=0
+  for i in range(len(couple)):
+    if ((N+i)==prefer[couple[i]][rank]):
+      cnt2=cnt2+1
+      cnt3=cnt3+1 
+
+  return cnt1  
+
+def calculate_man(prefer,N,rank):
+  cnt1=0
+  cnt2=0
+  cnt3=0
+  a=[]
+  i=0
+  for i in range(len(couple)):
+    if (prefer[N+i][rank]==couple[i]):
+      cnt1=cnt1+1
+      cnt3=cnt3+1
+
+  i=0
+  for i in range(len(couple)):
+    if ((N+i)==prefer[couple[i]][rank]):
+      cnt2=cnt2+1
+      cnt3=cnt3+1 
+
+  return cnt2
+
+def autolabel(rects):
+   #...................
+    for rect in rects:
+        height = rect.get_height()
+        ax.annotate('{}'.format(height),
+                    xy=(rect.get_x() + rect.get_width() / 2, height),
+                    xytext=(0, 3),  
+                    textcoords="offset points",
+                    ha='center', va='bottom')
+def autolabel2(rects):
+   #...................
+    for rect in rects:
+        height = rect.get_height()
+        ax2.annotate('{}'.format(height),
+                    xy=(rect.get_x() + rect.get_width() / 2, height),
+                    xytext=(0, 3), 
+                    textcoords="offset points",
+                    ha='center', va='bottom')        
+
+def wPrefersM1OverM(prefer, w, m, m1,N): 
+  
+  # Check if w prefers m over her current engagment m1
+  i=0 
+  for i in range(N): 
+    # If m1 comes before m in lisr of w, 
+    # then w prefers her current engagement, don't do anything 
+    if (prefer[w][i] == m1): 
+      return True
+
+    if (prefer[w][i] == m): 
+      return False
+
+# Prints stable matching for N boys and N girls.
+'''
+def stableMarriage(prefer,N): 
+  
+  # Stores partner of women. 
+  wPartner = [-1 for i in range(N)] 
+
+  # An array to store availability of men. 
+  # If mFree[i] is false, then man 'i' is free, otherwise engaged. 
+  mFree = [False for i in range(N)] 
+
+  freeCount = N 
+
+  # While there are free men 
+  while (freeCount > 0): 
+    
+    # Pick the first free man (we could pick any) 
+    m = 0
+    while (m < N): 
+      if (mFree[m] == False): 
+        break
+      m += 1
+
+    # One by one go to all women according to 
+    # m's preferences. Here m is the picked free man 
+    i = 0
+    while i < N and mFree[m] == False: 
+      w = prefer[m][i] 
+
+      # The woman of preference is free, w and m become partners (Note that 
+      # the partnership maybe changed later). So we can say they are engaged not married 
+      if (wPartner[w - N] == -1): 
+        wPartner[w - N] = m 
+        mFree[m] = True
+        freeCount -= 1
+
+      else: 
+        
+        # If w is not free ,Find current engagement of w 
+        m1 = wPartner[w - N] 
+
+        # If w prefers m over her current engagement m1, 
+        # then break the engagement between w and m1 and engage m with w. 
+        if (wPrefersM1OverM(prefer, w, m, m1,N) == False): 
+          wPartner[w - N] = m 
+          mFree[m] = True
+          mFree[m1] = False
+      i += 1
+
+    
+
+  # Print couple 
+  for i in range(N):
+    couple.append(wPartner[i]); 
+    print(i, "\t", wPartner[i]) 
+'''    
+
+def randomMarriage(prefer,N,k):
+  n2=int(N/k);
+  # Stores partner of women. 
+  wPartner = [-1 for i in range(N)] 
+
+  # An array to store availability of men. 
+  # If mFree[i] is false, then man 'i' is free, otherwise engaged. 
+  mFree = [False for i in range(N)] 
+  freeCount = N 
+  # While there are free men 
+  while (freeCount > 0): 
+    
+    # Pick the first free man (we could pick any) 
+    m = 0
+    if(freeCount==n2):
+        break
+
+   # print(f"freecount {freeCount}")
+    while (m < N): 
+      if (mFree[m] == False): 
+        break
+      m += 1
+
+    # One by one go to all women according to 
+    # m's preferences. Here m is the picked free man 
+    i = 0
+    while i < N and mFree[m] == False: 
+      w = prefer[m][i] 
+
+      # The woman of preference is free, w and m become partners (Note that 
+      # the partnership maybe changed later). So we can say they are engaged not married 
+      if (wPartner[w - N] == -1): 
+        wPartner[w - N] = m 
+        mFree[m] = True
+        freeCount -= 1
+
+      else: 
+        
+        # If w is not free ,Find current engagement of w 
+        m1 = wPartner[w - N] 
+        # If w prefers m over her current engagement m1, 
+        # then break the engagement between w and m1 and engage m with w. 
+        if (wPrefersM1OverM(prefer, w, m, m1,N) == False): 
+          wPartner[w - N] = m 
+          mFree[m] = True
+          mFree[m1] = False
+      i += 1
+    if(freeCount==n2):
+        break
+#assigning new random................
+
+  while (freeCount > 0): 
+    
+    # Pick the first free man (we could pick any) 
+    m = 0
+    while (m < N): 
+      if (mFree[m] == False): 
+        break
+      m += 1
+
+    # One by one go to all women according to 
+    # m's preferences. Here m is the picked free man 
+    
+    while mFree[m] == False: 
+      x=randrange(N)
+      #print(f"random {x} free count {freeCount} ")
+      w = prefer[m][x] 
+      # The woman of preference is free, w and m become partners (Note that 
+      # the partnership maybe changed later). So we can say they are engaged not married 
+      if (wPartner[w - N] == -1): 
+        wPartner[w - N] = m 
+        mFree[m] = True
+        freeCount -= 1     
+      
+  # Print couple 
+  i=0
+  for i in range(N):
+    couple.append(wPartner[i]); 
+    #print(i, "\t", wPartner[i])
+# Driver Code for 
+########################################################################
+v=[]
+v.append(5)
+v.append(10)
+v.append(50)
+v.append(100)
+v.append(200)
+v.append(500)
+bardata3=[]
+bardata=[]
+couple=[]
+gh=0
+for gh in range(len(v)):
+  #print(f"{v[gh]} is number of women or men (equal no of man and woman)")
+  N=v[gh]
+  prefer=[]
+  prefer2=[]
+  man=[]
+  woman=[]
+
+  #print("enter men's priority")
+  i=0
+  for i in range(N):        
+      a=[] 
+      b=[]
+    # print(f"the {i} men priority ")
+      b=np.random.permutation(N)
+      j=0
+      for j in range(len(b)):
+        a.append(b[j]+N)  
+      prefer.append(a) 
+      man.append(b)
+
+#print("enter women's priority")
+  i=0
+  for i in range(N):          
+      a =[] 
+      #print(f" the {i} women priority ")
+      a=np.random.permutation(N)
+      prefer.append(a) 
+      woman.append(a)
+
+  '''    
+  print("men's priority")
+  i=0
+  for i in range(0,N): 
+      j=0
+      for j in range(len(prefer[i])): 
+          print(prefer[i][j]-N, end = " ") 
+      print() 
+
+  print("women's priority ")
+  i=0
+  for i in range(N,2*N):
+      j=0 
+      for j in range(len(prefer[i])): 
+          print(prefer[i][j], end = " ") 
+      print()   
+  
+  #print("Woman ", " Man") 
+  '''
+  couple.clear()
+  i=0
+  c1=0
+  c2=0
+  c3=0
+  c4=0
+  c11=0
+  c22=0
+  c33=0
+  c44=0
+
+  for i in range(100):
+    #print("Zero random ")
+    randomMarriage(prefer,N,N+1)
+    c1=c1+calculate_woman(prefer,N,0)
+    c11=c11+calculate_man(prefer,N,0)
+    #print(couple)
+    #print(f" c1 {c1}")
+    couple.clear()
+    #print("Half random ")
+    randomMarriage(prefer,N,2)
+    c2=c2+calculate_woman(prefer,N,0)
+    c22=c22+calculate_man(prefer,N,0)
+    #print(couple)
+    #print(f" c2 {c2}")
+    couple.clear()
+    #print("1/3rd random ")
+    randomMarriage(prefer,N,3)
+    c3=c3+calculate_woman(prefer,N,0)
+    c33=c33+calculate_man(prefer,N,0)
+    #print(couple)
+    #print(f" c3 {c3}")
+    couple.clear()
+    #print("full random ")
+    randomMarriage(prefer,N,1)
+    c4=c4+calculate_woman(prefer,N,0)
+    c44=c44+calculate_man(prefer,N,0)
+    #print(couple)
+    #print(f" c4 {c4}")
+    couple.clear()
+    #print(f"{c1} {c2} {c3} {c4} c4---\n")
+    #print(f"{c11} {c22} {c33} {c44} c44--\n")
+
+  
+  #print(f"{c1} {c2} {c3} {c4} women data\n")
+  #print(f"{c11} {c22} {c33} {c44} men data\n")
+  c1=math.ceil(c1/100)
+  c2=math.ceil(c2/100)
+  c3=math.ceil(c3/100)
+  c4=math.ceil(c4/100)
+
+  c11=math.ceil(c11/100)
+  c22=math.ceil(c22/100)
+  c33=math.ceil(c33/100)
+  c44=math.ceil(c44/100)
+
+  a=[]
+  b=[]
+
+  a.append(c1)
+  a.append(c2)
+  a.append(c3)
+  a.append(c4)
+  
+  b.append(c11)
+  b.append(c22)
+  b.append(c33)
+  b.append(c44)
+
+  #print(a)
+  #print(b)
+  bardata.append(a)
+  bardata3.append(b)
+ 
+ 
+
+bardata2=[]
+bardata22=[]
+
+j=0
+for j in range(4):
+    ent=[]
+    ent2=[]
+    i=0
+    for i in range(len(v)):
+        ent.append(bardata[i][j])
+        ent2.append(bardata3[i][j])
+        #print(bardata[i][j],end=" ")
+    bardata2.append(ent)
+    bardata22.append(ent2)
+
+print(" BAR DATA FOR WOMEN FIRST PREFERENCE \n")
+i=0
+for i in range(len(bardata2)):
+    j=0
+    for j in range(len(bardata2[i])):
+        print(bardata2[i][j],end=" ")
+    print("\n")
+
+print(" BAR DATA FOR MEN FIRST PREFERENCE \n")
+i=0
+for i in range(len(bardata22)):
+    j=0
+    for j in range(len(bardata22[i])):
+        print(bardata22[i][j],end=" ")
+    print("\n")            
+
+
+labels=[]
+i=0
+for i in range(len(v)):
+  labels.append(str(v[i]))
+  #print(v[i],end=" ")
+
+# Add some text for labels, title and custom x-axis tick labels, etc.
+x = np.arange(len(labels))  # the label locations
+width = 0.20  # the width of the bars
+fig, ax = plt.subplots()
+rects1 = ax.bar(x +0.10, bardata2[0], width, label='DAA')
+rects2 = ax.bar(x +0.30, bardata2[1], width, label='Half Random')
+rects3 = ax.bar(x +0.50, bardata2[2], width, label='1/3rd Random')
+rects4 = ax.bar(x +0.70, bardata2[3], width, label='Full Random')
+# Add some text for labels, title and custom x-axis tick labels, etc.
+ax.set_xlabel('NO OF WOMAN')
+ax.set_ylabel('NO OF WOMAN GETTING THEIR FIRST PREFERENCE ')
+ax.set_title('COMPARISON FOR DIFFERENT SETS OF DATA')
+ax.set_xticks(x)
+ax.set_xticklabels(labels)
+ax.legend()
+autolabel(rects1)
+autolabel(rects2)
+autolabel(rects3)
+autolabel(rects4)
+fig.tight_layout()
+#bardat for womaan
+#plt.show()
+#bardata for man.....
+
+labels2=[]
+i=0
+for i in range(len(v)):
+  labels2.append(str(v[i]))
+  #print(v[i],end=" ")
+
+
+# Add some text for labels, title and custom x-axis tick labels, etc.
+x2 = np.arange(len(labels2))  # the label locations
+width = 0.20  # the width of the bars
+fig2, ax2 = plt.subplots()
+rects11 = ax2.bar(x2 +0.10, bardata22[0], width, label='Zero Random')
+rects22 = ax2.bar(x2 +0.30, bardata22[1], width, label='Half Random')
+rects33 = ax2.bar(x2 +0.50, bardata22[2], width, label='1/3rd Random')
+rects44 = ax2.bar(x2 +0.70, bardata22[3], width, label='Full Random')
+# Add some text for labels, title and custom x-axis tick labels, etc.
+ax2.set_xlabel('NO OF MAN')
+ax2.set_ylabel('NO OF MAN GETTING THEIR FIRST PREFERENCE')
+ax2.set_title('COMPARISON FOR DIFFERENT SETS OF DATA')
+ax2.set_xticks(x)
+ax2.set_xticklabels(labels2)
+ax2.legend()
+autolabel2(rects11)
+autolabel2(rects22)
+autolabel2(rects33)
+autolabel2(rects44)
+fig2.tight_layout()
+#plt.show()
+
+############################################################
+'''
+print("NEW ALGOOOOOOOOOOOOOOOOO")
+'''
+for gh in range(4):
+  N=10
+  c1=0
+  c2=0
+  c3=0
+  c4=0
+  c5=0
+  c6=0
+  c7=0
+  c11=0
+  c22=0
+  c33=0
+  c44=0
+  c55=0
+  c66=0
+  c77=0
+  couple=[]
+  #print(f"{N} is number of women or men (equal no of man and woman)")
+  prefer=[]
+  prefer2=[]
+  man=[]
+  woman=[]
+  bardata2=[]
+
+  #print("enter men's priority")
+
+  for i in range(N):        
+      a =[] 
+      b=[]
+    # print(f"the {i} men priority ")
+      b=np.random.permutation(N)
+      for j in range(len(b)):
+        a.append(b[j]+N)  
+      prefer.append(a) 
+      man.append(b)
+
+#print("enter women's priority")
+
+  for i in range(N):          
+      a =[] 
+      #print(f" the {i} women priority ")
+      a=np.random.permutation(N)
+      prefer.append(a) 
+      woman.append(a)
+  '''
+  print("men's priority")
+  
+  for i in range(0,N): 
+      for j in range(len(prefer[i])): 
+          print(prefer[i][j]-N, end = " ") 
+      print() 
+
+  print("women's priority ")
+
+  for i in range(N,2*N): 
+      for j in range(len(prefer[i])): 
+          print(prefer[i][j], end = " ") 
+      print()
+  '''
+  if gh==0:
+    for zx in range(100):
+      couple=[]       
+      randomMarriage(prefer,N,N+1)
+      c11=c11+calculate(prefer,N,0)
+      c22=c22+calculate(prefer,N,1)
+      c33=c33+calculate(prefer,N,2)
+      c44=c44+calculate(prefer,N,3)
+      c55=c55+calculate(prefer,N,4)
+      c66=c66+calculate(prefer,N,N-1)
+      c77=c77+calculate2(prefer,N)
+
+    c1=math.ceil(c11/100)
+    c2=math.ceil(c22/100)
+    c3=math.ceil(c33/100) 
+    c4=math.ceil(c44/100)
+    c5=math.ceil(c55/100)
+    c6=math.ceil(c66/100)
+    c7=math.ceil(c77/100)
+
+    bardata=[]
+    bardata2=[]
+    bardata.append(c1)
+    bardata.append(c2)
+    bardata.append(c3)
+    bardata.append(c4)
+    bardata.append(c5)
+    bardata.append(c6)
+    bardata.append(c7)
+    bardata2.append(bardata)
+    labels=[]
+    labels.append(str(1))
+    labels.append(str(2))
+    labels.append(str(3))
+    labels.append(str(4))
+    labels.append(str(5))
+    labels.append("LAST")
+    labels.append("FIRST HALF")
+    print(" BAR DATA FOR DAA FOR FIRST SECOND UPTO HALF AND LAST \n")
+    i=0
+    for i in range(len(bardata2)):
+      j=0
+      for j in range(len(bardata2[i])):
+        print(bardata2[i][j],end=" ")
+      print("\n")    
+
+# Add some text for labels, title and custom x-axis tick labels, etc.
+    x = np.arange(len(labels))  # the label locations
+    width = 0.20  # the width of the bars
+    fig, ax = plt.subplots()
+    rects1 = ax.bar(x +0.10, bardata2[0], width, label='DAA')
+# Add some text for labels, title and custom x-axis tick labels, etc.
+    ax.set_xlabel('PREFERENCE')
+    ax.set_ylabel('NO OF PEOPLE')
+    ax.set_title('COMPARISON FOR DIFFERENT SETS OF DATA')
+    ax.set_xticks(x)
+    ax.set_xticklabels(labels)
+    ax.legend()
+    autolabel(rects1)
+    fig.tight_layout()
+    #plt.show()
+
+  if gh==1:    
+    for zx in range(100):  
+      couple=[]     
+      randomMarriage(prefer,N,2)
+      c11=c11+calculate(prefer,N,0)
+      c22=c22+calculate(prefer,N,1)
+      c33=c33+calculate(prefer,N,2)
+      c44=c44+calculate(prefer,N,3)
+      c55=c55+calculate(prefer,N,4)
+      c66=c66+calculate(prefer,N,N-1)
+      c77=c77+calculate2(prefer,N)
+      
+  
+    c1=math.ceil(c11/100)
+    c2=math.ceil(c22/100)
+    c3=math.ceil(c33/100) 
+    c4=math.ceil(c44/100)
+    c5=math.ceil(c55/100)
+    c6=math.ceil(c66/100)
+    c7=math.ceil(c77/100)
+
+    bardata2=[]
+    bardata=[]
+    bardata.append(c1)
+    bardata.append(c2)
+    bardata.append(c3)
+    bardata.append(c4)
+    bardata.append(c5)
+    bardata.append(c6)
+    bardata.append(c7)
+    bardata2.append(bardata)
+    labels=[]
+    labels.append(str(1))
+    labels.append(str(2))
+    labels.append(str(3))
+    labels.append(str(4))
+    labels.append(str(5))
+    labels.append("LAST")
+    labels.append("FIRST HALF")
+    print(" BAR DATA FOR HALF RANDOM FOR FIRST SECOND UPTO HALF AND LAST \n")
+
+    i=0
+    for i in range(len(bardata2)):
+      j=0
+      for j in range(len(bardata2[i])):
+        print(bardata2[i][j],end=" ")
+      print("\n")
+# Add some text for labels, title and custom x-axis tick labels, etc.
+    x = np.arange(len(labels))  # the label locations
+    width = 0.20  # the width of the bars
+    fig, ax = plt.subplots()
+    rects1 = ax.bar(x +0.10, bardata2[0], width, label='Half Random')
+# Add some text for labels, title and custom x-axis tick labels, etc.
+    ax.set_xlabel('PREFERENCE')
+    ax.set_ylabel('NO OF PEOPLE')
+    ax.set_title('COMPARISON FOR DIFFERENT SETS OF DATA')
+    ax.set_xticks(x)
+    ax.set_xticklabels(labels)
+    ax.legend()
+    autolabel(rects1)
+    fig.tight_layout()
+    #plt.show()
+  if gh==2:   
+    couple=[]    
+    for zx in range(100):  
+      couple=[]     
+      randomMarriage(prefer,N,3)
+      c11=c11+calculate(prefer,N,0)
+      c22=c22+calculate(prefer,N,1)
+      c33=c33+calculate(prefer,N,2)
+      c44=c44+calculate(prefer,N,3)
+      c55=c55+calculate(prefer,N,4)
+      c66=c66+calculate(prefer,N,N-1)
+      c77=c77+calculate2(prefer,N)
+
+ 
+    c1=math.ceil(c11/100)
+    c2=math.ceil(c22/100)
+    c3=math.ceil(c33/100) 
+    c4=math.ceil(c44/100)
+    c5=math.ceil(c55/100)
+    c6=math.ceil(c66/100)
+    c7=math.ceil(c77/100)
+      
+    bardata=[]
+    bardata.append(c1)
+    bardata.append(c2)
+    bardata.append(c3)
+    bardata.append(c4)
+    bardata.append(c5)
+    bardata.append(c6)
+    bardata.append(c7)
+    bardata2.append(bardata)
+    labels=[]
+    labels.append(str(1))
+    labels.append(str(2))
+    labels.append(str(3))
+    labels.append(str(4))
+    labels.append(str(5))
+    labels.append("LAST")
+    labels.append("FIRST HALF")
+    print(" BAR DATA FOR 1/3RD RANDOM FOR FIRST SECOND UPTO HALF AND LAST \n")
+
+    i=0
+    for i in range(len(bardata2)):
+      j=0
+      for j in range(len(bardata2[i])):
+        print(bardata2[i][j],end=" ")
+      print("\n")
+
+# Add some text for labels, title and custom x-axis tick labels, etc.
+    x = np.arange(len(labels))  # the label locations
+    width = 0.20  # the width of the bars
+    fig, ax = plt.subplots()
+    rects1 = ax.bar(x +0.10, bardata2[0], width, label='1/3rd Random')
+# Add some text for labels, title and custom x-axis tick labels, etc.
+    ax.set_xlabel('PREFERENCE')
+    ax.set_ylabel('NO OF PEOPLE')
+    ax.set_title('COMPARISON FOR DIFFERENT SETS OF DATA')
+    ax.set_xticks(x)
+    ax.set_xticklabels(labels)
+    ax.legend()
+    autolabel(rects1)
+    fig.tight_layout()
+    #plt.show()
+
+  if gh==3:   
+    couple=[]    
+    for zx in range(100):
+      couple=[]       
+      randomMarriage(prefer,N,1)
+      c11=c11+calculate(prefer,N,0)
+      c22=c22+calculate(prefer,N,1)
+      c33=c33+calculate(prefer,N,2)
+      c44=c44+calculate(prefer,N,3)
+      c55=c55+calculate(prefer,N,4)
+      c66=c66+calculate(prefer,N,N-1)
+      c77=c77+calculate2(prefer,N)
+
+    
+    c1=math.ceil(c11/100)
+    c2=math.ceil(c22/100)
+    c3=math.ceil(c33/100) 
+    c4=math.ceil(c44/100)
+    c5=math.ceil(c55/100)
+    c6=math.ceil(c66/100)
+    c7=math.ceil(c77/100)
+
+    bardata=[]
+    bardata2=[]
+    bardata.append(c1)
+    bardata.append(c2)
+    bardata.append(c3)
+    bardata.append(c4)
+    bardata.append(c5)
+    bardata.append(c6)
+    bardata.append(c7)
+    bardata2.append(bardata)
+    labels=[]
+    labels.append(str(1))
+    labels.append(str(2))
+    labels.append(str(3))
+    labels.append(str(4))
+    labels.append(str(5))
+    labels.append("LAST")
+    labels.append("FIRST HALF")
+    print(" BAR DATA FOR FULL RANDOM FOR FIRST SECOND UPTO HALF AND LAST \n")
+
+    i=0
+    for i in range(len(bardata2)):
+      j=0
+      for j in range(len(bardata2[i])):
+        print(bardata2[i][j],end=" ")
+      print("\n")
+
+# Add some text for labels, title and custom x-axis tick labels, etc.
+    x = np.arange(len(labels))  # the label locations
+    width = 0.20  # the width of the bars
+    fig, ax = plt.subplots()
+    rects1 = ax.bar(x +0.10, bardata2[0], width, label='Full Random')
+# Add some text for labels, title and custom x-axis tick labels, etc.
+    ax.set_xlabel('PREFERENCE')
+    ax.set_ylabel('NO OF PEOPLE')
+    ax.set_title('COMPARISON FOR DIFFERENT SETS OF DATA')
+    ax.set_xticks(x)
+    ax.set_xticklabels(labels)
+    ax.legend()
+    autolabel(rects1)
+    fig.tight_layout()
+    #plt.show()  
+plt.show()
+
+
+
+
+
+
+#############################################################
+''' for assigning from second side (woman side )............
+print("...FOR SECOND TURN ...")
+
+
+for i in range(N): 
+    a=[]
+    for j in range(len(woman[i])): 
+        a.append(woman[i][j]+N) 
+    prefer2.append(a)
+
+for i in range(N): 
+    a=[]
+    for j in range(len(man[i])): 
+        a.append(man[i][j]) 
+    prefer2.append(a)     
+
+print("women's priority ")
+for i in range(0,N): 
+    for j in range(len(prefer2[i])): 
+        print(prefer2[i][j]-N,end = " ") 
+    print() 
+
+print("man's priority ")
+for i in range(N,2*N): 
+    for j in range(len(prefer2[i])): 
+        print(prefer2[i][j], end = " ") 
+    print()  
+
+print("Man ", "Woman") 
+stableMarriage(prefer2,N)  
+''' 
+
+
+
diff --git a/Python/z_score_for_detect_outliers.py b/Python/z_score_for_detect_outliers.py
new file mode 100644
index 00000000..325c8704
--- /dev/null
+++ b/Python/z_score_for_detect_outliers.py
@@ -0,0 +1,26 @@
+# -*- coding: utf-8 -*-
+import numpy as np
+
+def find_anomalies_z_score(list_data):
+  outliers = []
+  
+  std_data = np.std(list_data); print('std:', std_data)
+  mean_data = np.mean(list_data); print('mean:', mean_data)
+  anomaly_cut_off = std_data * 3; print('anomaly_cut_off:', anomaly_cut_off)
+
+  lower_limit  = mean_data - anomaly_cut_off; print('lower_limit', lower_limit)
+  upper_limit = mean_data + anomaly_cut_off; print('upper_limit', upper_limit)
+
+  for outlier in list_data:
+          if outlier > upper_limit or outlier < lower_limit:
+              outliers.append(outlier)
+              
+  if len(outliers) == 0:
+    print('outlier is not found')
+
+  return outliers
+
+if __name__ == '__main__':
+    data = 5 * np.random.randn(1000) + 50
+    result = find_anomalies_z_score(data)
+    print('outliers : ', result)
diff --git a/Queue with Doubly LL.cpp b/Queue with Doubly LL.cpp
new file mode 100644
index 00000000..64387e9d
--- /dev/null
+++ b/Queue with Doubly LL.cpp	
@@ -0,0 +1,107 @@
+//Queue with Doubly Linked list
+#include<bits/stdc++.h>
+using namespace std;
+class Node
+{
+public:
+    int data ;
+    Node *next = NULL;
+    Node *prev = NULL;
+    Node(int data)
+    {
+        this->data = data ;
+    }
+};
+class Queue
+{
+  Node* front = NULL;
+  Node* rear = NULL;
+  int size = 0 ;
+  public :
+  void enqueue(int data)
+  {
+      Node *new_node = new Node(data) ;
+      if(front == NULL)
+      {
+          front = new_node;
+          rear = new_node ;
+      }
+      else
+      {
+          rear->next = new_node ;
+          new_node->prev = rear ;
+          rear = new_node ;
+      }
+      size++;
+  }
+  void dequeue()
+  {
+      if(front == NULL)
+      {
+          cout<<"Queue is Already Empty !"<<endl;
+      }
+      else
+      {
+          Node *x = front ;
+          front = front->next ;
+          x->next = NULL ;
+          x->prev = NULL ;
+          if(front != NULL)
+          front->prev = NULL ;
+          delete x ;
+          size-- ;
+      }
+  }
+  bool isEmpty()
+  {
+      if(size == 0)
+        return true ;
+      else
+        return false ;
+  }
+  int Size()
+  {
+      return size ;
+  }
+  int Front()
+  {
+      if(front == NULL || size == 0)
+      {
+          cout<<"Queue is Empty"<<endl ;
+          return -1 ;
+      }
+      else
+      {
+          return front->data ;
+      }
+  }
+  void print()
+  {
+      Node *temp = front ;
+      while(temp != NULL)
+      {
+          cout<<temp->data<<" ";
+          temp = temp->next ;
+      }
+      cout<<endl ;
+  }
+};
+int main()
+{
+    Queue q ;
+    q.enqueue(1) ;
+    q.enqueue(2) ;
+    q.print() ;
+    cout<<"Front Element is : "<<q.Front()<<endl ;
+    cout<<"Size of Queue : "<<q.Size()<<endl ;
+    q.dequeue() ;
+    q.print() ;
+    cout<<"Front Element is : "<<q.Front()<<endl ;
+    cout<<"Size of Queue : "<<q.Size()<<endl ;
+    q.dequeue() ;
+    q.print() ;
+    cout<<"Front Element is : "<<q.Front()<<endl ;
+    cout<<"Size of Queue : "<<q.Size()<<endl ;
+    q.dequeue() ;
+    return 0 ;
+}
diff --git a/Queue/Circularqueue.java b/Queue/Circularqueue.java
new file mode 100644
index 00000000..53de1123
--- /dev/null
+++ b/Queue/Circularqueue.java
@@ -0,0 +1,107 @@
+package labsheet7;
+
+public class Circularqueue {
+
+	public int size;	
+    public int front = -1;
+    public int rear = -1;
+	 Integer a[];
+      Circularqueue(int size){
+    	this.size = size;  
+   	   a= new Integer[size];
+   	   front = -1;
+   	   rear = -1;
+      }
+      Circularqueue(){
+    	  this.size = 5;
+   	   a= new Integer[size];
+   	   front = -1;
+   	   rear = -1;
+      }
+      
+      public void print() {
+   	   int t = front;
+   	   if(front != -1) {
+   	  while(t != rear) {
+   		  System.out.println(a[t]);
+   	      t = (t+1)%size;
+   	  }
+		  System.out.println(a[t]);
+   	   }else {
+   		   System.out.println("Circular queue is empty");
+   	   }
+      }
+      
+      public void enqueue(int item) {
+   	   if(front == (rear+1)%size) {
+   		   System.out.println("Can't Enqueue");
+   	   }else {
+   		   if(front == -1) {
+   			   front = 0;
+   		   }
+   		    rear = (rear+1)%size;
+   		    a[rear] = item;
+   	   }
+      }
+      
+      public boolean equals(Circularqueue q1) {
+   	   while(rear >size && q1.rear > q1.size) {
+   		   if(a[rear] != q1.a[q1.rear]) {
+   			   return false;
+   		   }
+   	   }
+   	   return true;
+      }
+      
+      public int getFront() {
+       return a[front];
+      }		
+      
+      public Integer dequeue() {
+   	   if(front == -1) {
+   		   System.out.println("Queue is empty");
+   	       return null;
+   	   }
+   	   int t = a[front];
+   	   if(front == rear) {
+   		front = -1;
+   		rear = -1;
+   	   }else
+   	   front = (front+1)%size;
+   	   return t;
+      }
+
+      public void splitq() {
+    	  int i =0;
+    	  Circularqueue q1 = new Circularqueue();
+    	  Circularqueue q2 = new Circularqueue();
+    	  while(front != -1) {
+    		  if(i%2 == 0){
+    			  q1.enqueue(dequeue());
+    		  }
+    		  else
+    			 q2.enqueue(dequeue()); 
+    		  i++;
+    	  }
+     	  q1.print();
+     	  q2.print();
+      } 
+      
+      public int getMinElement() {
+    	  int min = dequeue();
+    	  Circularqueue q1 = new Circularqueue();
+    	  q1.enqueue(min);
+    	  int t;
+    	  while(front != -1) {
+    		  t = dequeue();
+    		  if(min>t) {
+    			  min = t;
+    		  }
+    		  q1.enqueue(t); 
+    	  }
+    	  while(q1.front != -1) {
+    		  enqueue(q1.dequeue());
+    	  }
+    	  return min;
+      }
+}
diff --git a/Queue/Dequeue.java b/Queue/Dequeue.java
new file mode 100644
index 00000000..d2b63f7e
--- /dev/null
+++ b/Queue/Dequeue.java
@@ -0,0 +1,118 @@
+package labsheet7;
+
+public class Dequeue {
+
+	public int size=5;	
+    public int front = -1;
+    public int rear = -1;
+	 Integer a[];
+      Dequeue(int size){
+   	   this.size = size;
+   	   a= new Integer[size];
+   	   front = -1;
+   	   rear = -1;
+      }
+      Dequeue(){
+   	   a= new Integer[size];
+   	   front = -1;
+   	   rear = -1;
+      }
+      
+      public void insertLast(int item){
+    	  if(front == (rear+1)%size) {
+    		  System.out.println("Dequeue is empty");
+    	  }else {
+    		  if(front == -1) {
+    			  front = 0;
+    		  }
+    		  rear = (rear+1)%size;
+              a[rear] = item;
+    	  }
+      }
+      
+      public Integer deleteFirst() {
+    	  if(front == -1) {
+    		  System.out.println("Queue is empty");
+    	      return null; 
+    	  }else {
+    		  int t = a[front];
+    		  if(front == rear) {
+    			  rear = -1;
+    			  front = -1;
+    		  }
+    		  front = (front+1)%size;
+    		  return t;
+    	  }
+      }
+      
+      public void insertFirst(int item) {
+    	  if(front == (rear+1)%size) {
+    		  System.out.println("Dequeue is full");
+    	  }else {
+    		  if(front == -1) {
+    			  front = 0;
+    			  rear = 0;
+    		  }else {
+    			  if(front == 0) {
+    				  front = size;
+    			  }
+    		  front = front-1;
+    		  }
+    		  a[front] = item;
+         }
+      }
+      
+      public Integer deleteLast() {
+    	  if(front == -1) {
+    		  System.out.println("dequeue is empty");
+    	      return null;
+    	  }else {
+    		  int t = a[rear];
+    		  if(front == rear) {
+    			  front = -1;
+    			  rear = -1;
+    		  }
+    		  if(rear == 0) {
+    			  rear = size;
+    		  }
+    		  rear = rear - 1;
+    		  return t;
+    	  }
+      }
+      
+      public void print() {
+    	  int t = front;
+      	   if(front != -1) {
+      	  while(t != rear) {
+      		  System.out.println(a[t]);
+      	      t = (t+1)%size;
+      	  }
+   		  System.out.println(a[t]);
+      	   }else {
+      		   System.out.println("Circular queue is empty");
+      	   }
+      }
+      
+      public int getRear() {
+   	   return a[rear];
+      }
+      
+      public int getFront() {
+   	   return a[front];
+      }
+      
+      public boolean isFull() {
+    	  if(rear == (front-1)%size)
+    		  return true;
+    	  else
+    		  return false;
+      }
+
+      public boolean isEmpty() {
+    	  if(front == -1)
+    		  return true;
+    	  else 
+    		  return false;
+      }
+      
+}
diff --git a/Queue/Queue+_1_.java b/Queue/Queue+_1_.java
new file mode 100644
index 00000000..3843719b
--- /dev/null
+++ b/Queue/Queue+_1_.java
@@ -0,0 +1,74 @@
+package labsheet7;
+
+public class Queue {
+
+     public int size;	
+     public int front = -1;
+     public int rear = -1;
+	 Integer a[];
+       Queue(int size){
+    	   this.size = size;
+    	   a= new Integer[size];
+    	   front = -1;
+    	   rear = -1;
+       }
+       Queue(){
+    	   this.size= 5;
+    	   a= new Integer[size];
+    	   front = -1;
+    	   rear = -1;
+       }
+       
+       public void print() {
+    	   int t = front;
+    	  if(front != -1) {
+    	  while(t != rear) {
+    		  System.out.println(a[t]);
+    	      t++;
+    	  }
+		  System.out.println(a[t]);
+    	  }else {
+    		  System.out.println("Queue is empty");
+    	  }
+       }
+       
+       public void enqueue(int item) {
+    	   if(rear > size) {
+    		   System.out.println("Can't Enqueue");
+    	   }else {
+    		   if(front == -1) {
+    			   front = 0;
+    		   }
+    		   
+    		   	a[++rear] = item;
+    	   }
+       }
+       
+       public boolean equals(Queue q1) {
+    	   while(rear >size && q1.rear > q1.size) {
+    		   if(a[rear] != q1.a[q1.rear]) {
+    			   return false;
+    		   }
+    	   }
+    	   return true;
+       }
+       
+       public int getFront() {
+        return a[front];
+       }
+       
+       public Integer dequeue() {
+    	   if(front == -1) {
+    		   System.out.println("Queue is empty");
+    	       return null;
+    	   }
+    	   int t = a[front];
+    	   if(front == rear) {
+    		front = -1;
+    		rear = -1;
+    	   }else
+    	   front++;
+    	   return t;
+       }
+       
+}
diff --git a/Queue/StackUsingQueue (1).java b/Queue/StackUsingQueue (1).java
new file mode 100644
index 00000000..9617eb43
--- /dev/null
+++ b/Queue/StackUsingQueue (1).java	
@@ -0,0 +1,75 @@
+package labsheet7;
+
+public class StackUsingQueue {
+
+	public int size;	
+    public int front = -1;
+    public int rear = -1;
+	 Integer a[];
+	 StackUsingQueue(int size){
+   	   this.size = size;
+   	   a= new Integer[size];
+   	   front = -1;
+   	   rear = -1;
+      }
+	 StackUsingQueue(){
+   	   this.size= 5;
+   	   a= new Integer[size];
+   	   front = -1;
+   	   rear = -1;
+      }
+      
+     public void print() {
+   	   int t = front;
+   	  if(front != -1) {
+   	  while(t != rear) {
+   		  System.out.println(a[t]);
+   	      t = (t+1)%size;
+   	  }
+		  System.out.println(a[t]);
+   	  }else {
+   		  System.out.println("Queue is empty");
+   	  }
+   }
+     
+	public void push(int item) {
+	
+		int t;
+		enqueue(item);
+		while(a[front] != item) {
+			t = dequeue();
+			enqueue(t);
+		}		
+	}
+	
+	public int pop() {
+		int t = dequeue();
+		return t;
+	}
+	
+	public void enqueue(int item) {
+ 	   if(front == (rear+1)%size) {
+ 		   System.out.println("Can't Enqueue");
+ 	   }else {
+ 		   if(front == -1) {
+ 			   front = 0;
+ 		   }
+ 		    rear = (rear+1)%size;
+ 		   	a[rear] = item;
+ 	   }
+    }
+    
+    public Integer dequeue() {
+ 	   if(front == -1) {
+ 		   System.out.println("Queue is empty");
+ 	       return null;
+ 	   }
+ 	   int t = a[front];
+ 	   if(front == rear) {
+ 		front = -1;
+ 		rear = -1;
+ 	   }else
+ 	   front= (front+1)%size;
+ 	   return t;
+    }
+}
diff --git a/Queue/queue.cpp b/Queue/queue.cpp
new file mode 100644
index 00000000..f22f537c
--- /dev/null
+++ b/Queue/queue.cpp
@@ -0,0 +1,83 @@
+#include <iostream>
+using namespace std;
+struct node {
+   int data;
+   struct node *next;
+};
+struct node* front = NULL;
+struct node* rear = NULL;
+struct node* temp;
+void Insert() {
+   int val;
+   cout<<"Insert the element in queue : "<<endl;
+   cin>>val;
+   if (rear == NULL) {
+     // rear =(struct node *)new(sizeof(struct node));
+     rear=new(struct node);
+      rear->next = NULL;
+      rear->data = val;
+      front = rear;
+   } else {
+      //temp=(struct node *)new(sizeof(struct node));
+      temp=new(struct node);
+      rear->next = temp;
+      temp->data = val;
+      temp->next = NULL;
+      rear = temp;
+   }
+}
+void Delete() {
+   temp = front;
+   if (front == NULL) {
+      cout<<"Underflow"<<endl;
+      return;
+   }
+   else
+   if (temp->next != NULL) {
+      temp = temp->next;
+      cout<<"Element deleted from queue is : "<<front->data<<endl;
+      delete(front);
+      front = temp;
+   } else {
+      cout<<"Element deleted from queue is : "<<front->data<<endl;
+      delete(front);
+      front = NULL;
+      rear = NULL;
+   }
+}
+void Display() {
+   temp = front;
+   if ((front == NULL) && (rear == NULL)) {
+      cout<<"Queue is empty"<<endl;
+      return;
+   }
+   cout<<"Queue elements are: ";
+   while (temp != NULL) {
+      cout<<temp->data<<" ";
+      temp = temp->next;
+   }
+   cout<<endl;
+}
+int main() {
+   int ch;
+   cout<<"1) Insert element to queue"<<endl;
+   cout<<"2) Delete element from queue"<<endl;
+   cout<<"3) Display all the elements of queue"<<endl;
+   cout<<"4) Exit"<<endl;
+do {
+   cout<<"Enter your choice : "<<endl;
+   cin>>ch;
+   switch (ch) {
+      case 1: Insert();
+         break;
+      case 2: Delete();
+         break;
+      case 3: Display();
+         break;
+      case 4: cout<<"Exit"<<endl;
+         break;
+      default: cout<<"Invalid choice"<<endl;
+   }
+} while(ch!=4);
+   return 0;
+}
diff --git a/Queue/queueusingclass.cpp b/Queue/queueusingclass.cpp
new file mode 100644
index 00000000..f6847b44
--- /dev/null
+++ b/Queue/queueusingclass.cpp
@@ -0,0 +1,95 @@
+#include <iostream>
+#define MAX 10
+
+using namespace std;
+
+class Queue
+{
+      int front,rear;
+      int queue[MAX];
+      //int item;
+ 
+      public:
+  
+      Queue()
+      {
+              front=rear=-1;
+      }
+ 
+       void qinsert(int item)
+       {
+              if(rear==MAX-1)
+             {
+                      cout<<"\nQUEUE OVERFLOW";
+             }
+             else if(front==-1 && rear==-1)
+             {
+                      front=rear=0;
+                     // cin>>item;
+                      queue[rear]=item;
+                      cout<<"\nITEM INSERTED: "<<item;
+             }
+             else
+             {
+                      rear++;
+                      queue[rear]=item;
+                      cout<<"\nITEM INSERTED: "<<item;
+             }
+       }
+  
+       void qdelete()
+       {
+              int item;
+  
+              if(rear==-1)
+             {
+                       cout<<"\nQUEUE UNDERFLOW";
+             }
+             else if(front==0 && rear==0)
+             {
+                       item=queue[front];
+                       front=rear=-1;
+                       cout<<"\n\nITEM DELETED: "<<item;
+             }
+             else
+             {
+                      item=queue[front];
+                      front++;
+                      cout<<"\n\nITEM DELETED: "<<item;
+             }
+       }
+ 
+       void qtraverse()
+       {
+              if(front==-1)
+              {
+                      cout<<"\n\nQUEUE IS EMPTY\n";
+              }
+              else
+              {
+                      cout<<"\n\nQUEUE ITEMS\n";
+                      for(int i=front;i<=rear;i++)
+                      {
+                               cout<<queue[i]<<" ";
+                      }
+                      cout<<endl;
+              }
+        }
+};
+
+int main()
+{
+      Queue q;
+ 
+      q.qtraverse();
+      q.qinsert(10);
+      q.qinsert(25);
+ 
+      q.qtraverse();
+ 
+      q.qdelete();
+      q.qinsert(30);
+ 
+      q.qtraverse();
+      return 0;
+}
diff --git a/Recursive/gcd.py b/Recursive/gcd.py
new file mode 100644
index 00000000..fecf05b7
--- /dev/null
+++ b/Recursive/gcd.py
@@ -0,0 +1,12 @@
+'''
+The GCD algorithm computes the greatest common divisor of two numbers A and B recursively.
+'''
+
+def gcd(x, y):
+    if (y==0):              # base case 
+        return x
+    else:                   # recursive case
+        return gcd(y, x%y)
+
+if __name__ == "__main__":
+    print (gcd(x=100, y=20))
\ No newline at end of file
diff --git a/Recursive/knapsack_algorithm.py b/Recursive/knapsack_algorithm.py
new file mode 100644
index 00000000..9e6a2c73
--- /dev/null
+++ b/Recursive/knapsack_algorithm.py
@@ -0,0 +1,28 @@
+'''
+(0-1 Knapsack) example
+The example solves the 0/1 Knapsack Problem: 
+how we get the maximum value, given our knapsack just can hold a maximum weight of w, 
+while the value of the i-th item is a1[i], and the weight of the i-th item is a2[i]?
+
+i = total item
+w = total weigh of knapsack can carry
+'''
+
+# a1: item value
+a1 = [100, 70, 50, 10]
+
+# a2: item weight
+a2 = [10, 4, 6, 12]
+
+def knapsack01(items, weight):
+    if (w == 0) or (i < 0):
+        return 0
+    elif (a2[i] > w):
+        return knapsack01(i-1, w)
+    else:
+        return max(a1[i] + knapsack01(i-1, w-a2[i], knapsack01(i-1, w)))
+
+if __name__ == "__main__":
+    i = 3
+    w = 12
+    print (knapsack01(items=i, weight=w))
\ No newline at end of file
diff --git a/Recursive/n_choose_k.py b/Recursive/n_choose_k.py
new file mode 100644
index 00000000..080f76be
--- /dev/null
+++ b/Recursive/n_choose_k.py
@@ -0,0 +1,12 @@
+'''
+The N choose K algorithm computes the binomial coefficient C(N, K)
+'''
+
+def nchoosek(n, k):
+    if (k == 0) or (k == n):            # base case
+        return 1
+    else:                               # recursive case
+        return nchoosek(n-1, k-1) + nchoosek(n-1, k)
+
+if __name__ == "__main__":
+    print (nchoosek(n=5, k=3))
\ No newline at end of file
diff --git a/Remove Superfluous Brackets.txt b/Remove Superfluous Brackets.txt
index ae000f7c..7e25477e 100644
--- a/Remove Superfluous Brackets.txt	
+++ b/Remove Superfluous Brackets.txt	
@@ -1,102 +1,102 @@
-#include<bits/stdc++.h>
-using namespace std ;
-int priority(char c)
-{
-    if(c=='*' || c=='/')
-        return 1;
-    else if(c=='+' || c=='-')
-        return 2;
-}
-bool isOperator(char c)
-{
-    if(c == '+' || c=='-' || c=='*' || c=='/')
-        return true ;
-    else
-        return false ;
-}
-string Rem_superfluous(string s)
-{
-    stack<string> st ;
-    for(int i=0;i<s.size();i++)
-    {
-        if(!isOperator(s[i])){
-                string x(1,s[i]) ;
-            st.push(x) ;
-        }
-        else
-        {
-            string s2 = st.top() ;
-            st.pop() ;
-            string s1 = st.top() ;
-            st.pop() ;
-            string x ;
-            string ch(1,s[i]) ;
-            if(priority(s[i])==1 || i==s.size()-1)
-                x = s1+ch+s2;
-            else if(priority(s[i])==2)
-                x = "("+s1+ch+s2+")";
-            st.push(x) ;
-        }
-    }
-    if(st.size() == 1){
-            return st.top() ;
-        }
-}
-string infix_to_postfix(string s)
-{
-    s = "("+s+")" ;
-    stack<char> st ;
-    string ans = "" ;
-    for(int i=0;i<s.size();i++)
-    {
-        if(s[i] == '(')
-            st.push(s[i]) ;
-        else if(!isOperator(s[i]) && s[i] != ')')
-        {
-            string x(1,s[i]);
-            ans+=x;
-        }
-        else if(isOperator(s[i]))
-        {
-            char x = st.top() ;
-            if(isOperator(x))
-            {
-                if(priority(x)<priority(s[i]))
-                {
-                    string ch(1,x);
-                    ans+=ch ;
-                    st.pop() ;
-                    st.push(s[i]);
-                }
-                else
-                {
-                    st.push(s[i]);
-                }
-            }
-            else
-                st.push(s[i]);
-        }
-        else if(s[i] == ')')
-        {
-            while(st.top() != '(')
-            {
-                char x = st.top() ;
-                string ch(1,x) ;
-                ans+=ch ;
-                st.pop() ;
-            }
-            st.pop() ;
-        }
-    }
-
-    return ans ;
-}
-int main()
-{
-    string s1 ;
-    cout<<"Enter the Postfix Expression : ";
-    cin>>s1 ;
-    string ans = Rem_superfluous(infix_to_postfix(s1)) ;
-    cout<<endl<<"Output :-  "<<ans<<endl ;
-    return 0 ;
-}
+#include<bits/stdc++.h>
+using namespace std ;
+int priority(char c)
+{
+    if(c=='*' || c=='/')
+        return 1;
+    else if(c=='+' || c=='-')
+        return 2;
+}
+bool isOperator(char c)
+{
+    if(c == '+' || c=='-' || c=='*' || c=='/')
+        return true ;
+    else
+        return false ;
+}
+string Rem_superfluous(string s)
+{
+    stack<string> st ;
+    for(int i=0;i<s.size();i++)
+    {
+        if(!isOperator(s[i])){
+                string x(1,s[i]) ;
+            st.push(x) ;
+        }
+        else
+        {
+            string s2 = st.top() ;
+            st.pop() ;
+            string s1 = st.top() ;
+            st.pop() ;
+            string x ;
+            string ch(1,s[i]) ;
+            if(priority(s[i])==1 || i==s.size()-1)
+                x = s1+ch+s2;
+            else if(priority(s[i])==2)
+                x = "("+s1+ch+s2+")";
+            st.push(x) ;
+        }
+    }
+    if(st.size() == 1){
+            return st.top() ;
+        }
+}
+string infix_to_postfix(string s)
+{
+    s = "("+s+")" ;
+    stack<char> st ;
+    string ans = "" ;
+    for(int i=0;i<s.size();i++)
+    {
+        if(s[i] == '(')
+            st.push(s[i]) ;
+        else if(!isOperator(s[i]) && s[i] != ')')
+        {
+            string x(1,s[i]);
+            ans+=x;
+        }
+        else if(isOperator(s[i]))
+        {
+            char x = st.top() ;
+            if(isOperator(x))
+            {
+                if(priority(x)<priority(s[i]))
+                {
+                    string ch(1,x);
+                    ans+=ch ;
+                    st.pop() ;
+                    st.push(s[i]);
+                }
+                else
+                {
+                    st.push(s[i]);
+                }
+            }
+            else
+                st.push(s[i]);
+        }
+        else if(s[i] == ')')
+        {
+            while(st.top() != '(')
+            {
+                char x = st.top() ;
+                string ch(1,x) ;
+                ans+=ch ;
+                st.pop() ;
+            }
+            st.pop() ;
+        }
+    }
+
+    return ans ;
+}
+int main()
+{
+    string s1 ;
+    cout<<"Enter the Postfix Expression : ";
+    cin>>s1 ;
+    string ans = Rem_superfluous(infix_to_postfix(s1)) ;
+    cout<<endl<<"Output :-  "<<ans<<endl ;
+    return 0 ;
+}
diff --git a/Reverse Polish Expression.txt b/Reverse Polish Expression.txt
new file mode 100644
index 00000000..c60d3615
--- /dev/null
+++ b/Reverse Polish Expression.txt	
@@ -0,0 +1,75 @@
+#include<bits/stdc++.h>
+using namespace std;
+int priority(char c)
+{
+    if(c=='*' || c=='/')
+        return 1;
+    else if(c=='+' || c=='-')
+        return 2;
+}
+bool isOperator(char c)
+{
+    if(c == '+' || c=='-' || c=='*' || c=='/')
+        return true ;
+    else
+        return false ;
+}
+string infix_to_postfix(string s)
+{
+    s = "("+s+")" ;
+    stack<char> st ;
+    string ans = "" ;
+    for(int i=0;i<s.size();i++)
+    {
+        if(s[i] == '(')
+            st.push(s[i]) ;
+        else if(!isOperator(s[i]) && s[i] != ')')
+        {
+            string x(1,s[i]);
+            ans+=x;
+        }
+        else if(isOperator(s[i]))
+        {
+            char x = st.top() ;
+            if(isOperator(x))
+            {
+                if(priority(x)<priority(s[i]))
+                {
+                    string ch(1,x);
+                    ans+=ch ;
+                    st.pop() ;
+                    st.push(s[i]);
+                }
+                else
+                {
+                    st.push(s[i]);
+                }
+            }
+            else
+                st.push(s[i]);
+        }
+        else if(s[i] == ')')
+        {
+            while(st.top() != '(')
+            {
+                char x = st.top() ;
+                string ch(1,x) ;
+                ans+=ch ;
+                st.pop() ;
+            }
+            st.pop() ;
+        }
+    }
+
+    return ans ;
+}
+
+int main()
+{
+    string s ;
+    cout<<"Enter the In-Fix Expression : " ;
+    cin>>s ;
+    string ans = infix_to_postfix(s) ;
+    cout<<endl<<"Required Reverse Polish Expression (Post-Fix Expression) :- "<<ans ;
+    return 0 ;
+}
diff --git a/Searching and Sorting/Linear Search/C/Linear_search.c b/Searching and Sorting/Linear Search/C/Linear_search.c
index ff3303a3..10809395 100644
--- a/Searching and Sorting/Linear Search/C/Linear_search.c	
+++ b/Searching and Sorting/Linear Search/C/Linear_search.c	
@@ -1,40 +1,40 @@
-/* In Linear search, we search an element or value in a given array by traversing the array from the starting,
-till the desired element or value is found.
-If the desired element is found, the index position is displayed, else -1 is displayed.*/
-
-#include<stdio.h>
-
-int linear_search(int* arr, int ele, int n);
-// function returns the index position if the element is found, else return -1
-
-int main()
-{
-    int n;
-    printf("Enter the number of elements: ");
-    scanf("%d",&n);
-
-    int arr[n];
-    printf("Enter the elements of the array: \n");
-    for(int i = 0; i<n; i++)
-        scanf("%d",&arr[i]);
-
-    int ele;
-    printf("Enter the element to be searched: ");
-    scanf("%d",&ele);
-
-    int pos = linear_search(arr,ele,n);
-
-    if(pos==-1) printf("%d not found.",ele);
-    else printf("%d found at index position %d",ele,pos);
-
-    return 0;
-}
-
-
-int linear_search(int* arr, int ele, int n)
-{
-    for(int i = 0; i<n; i++)
-        if(arr[i]==ele) return i;
-
-    return -1;
+/* In Linear search, we search an element or value in a given array by traversing the array from the starting,
+till the desired element or value is found.
+If the desired element is found, the index position is displayed, else -1 is displayed.*/
+
+#include<stdio.h>
+
+int linear_search(int* arr, int ele, int n);
+// function returns the index position if the element is found, else return -1
+
+int main()
+{
+    int n;
+    printf("Enter the number of elements: ");
+    scanf("%d",&n);
+
+    int arr[n];
+    printf("Enter the elements of the array: \n");
+    for(int i = 0; i<n; i++)
+        scanf("%d",&arr[i]);
+
+    int ele;
+    printf("Enter the element to be searched: ");
+    scanf("%d",&ele);
+
+    int pos = linear_search(arr,ele,n);
+
+    if(pos==-1) printf("%d not found.",ele);
+    else printf("%d found at index position %d",ele,pos);
+
+    return 0;
+}
+
+
+int linear_search(int* arr, int ele, int n)
+{
+    for(int i = 0; i<n; i++)
+        if(arr[i]==ele) return i;
+
+    return -1;
 }
\ No newline at end of file
diff --git a/Searching and Sorting/Linear Search/Java/LinearSearch.java b/Searching and Sorting/Linear Search/Java/LinearSearch.java
new file mode 100644
index 00000000..9dc0e860
--- /dev/null
+++ b/Searching and Sorting/Linear Search/Java/LinearSearch.java	
@@ -0,0 +1,27 @@
+import java.util.Scanner;
+class LinearSearch
+{
+   public static void main(String args[])
+   {
+      int counter, numOfElements, itemToSearch, array[];
+      Scanner input = new Scanner(System.in);
+      System.out.println("Enter number of elements:");
+      numOfElements = input.nextInt(); 
+      array = new int[numOfElements]; 
+      System.out.println("Enter elements");
+      for (counter = 0; counter < numOfElements; counter++)
+        array[counter] = input.nextInt();
+      System.out.println("Enter the search value:");
+      itemToSearch = input.nextInt();
+      for (counter = 0; counter < numOfElements; counter++)
+      {
+         if (array[counter] == itemToSearch) 
+         {
+           System.out.println(itemToSearch+" is present at  "+(counter+1));
+           break;
+         }
+      }
+      if (counter == numOfElements)
+        System.out.println(itemToSearch + " is not present");
+   }
+}
\ No newline at end of file
diff --git a/Searching and Sorting/Quick Sort/Java/QuickSort.java b/Searching and Sorting/Quick Sort/Java/QuickSort.java
new file mode 100644
index 00000000..42f02643
--- /dev/null
+++ b/Searching and Sorting/Quick Sort/Java/QuickSort.java	
@@ -0,0 +1,69 @@
+// Java program for implementation of QuickSort 
+class QuickSort {
+    /*
+     * This function takes last element as pivot, places the pivot element at its
+     * correct position in sorted array, and places all smaller (smaller than pivot)
+     * to left of pivot and all greater elements to right of pivot
+     */
+    int partition(int arr[], int low, int high) {
+        int pivot = arr[high];
+        int i = (low - 1); // index of smaller element
+        for (int j = low; j < high; j++) {
+            // If current element is smaller than the pivot
+            if (arr[j] < pivot) {
+                i++;
+
+                // swap arr[i] and arr[j]
+                int temp = arr[i];
+                arr[i] = arr[j];
+                arr[j] = temp;
+            }
+        }
+
+        // swap arr[i+1] and arr[high] (or pivot)
+        int temp = arr[i + 1];
+        arr[i + 1] = arr[high];
+        arr[high] = temp;
+
+        return i + 1;
+    }
+
+    /*
+     * The main function that implements QuickSort() arr[] --> Array to be sorted,
+     * low --> Starting index, high --> Ending index
+     */
+    void sort(int arr[], int low, int high) {
+        if (low < high) {
+            /*
+             * pi is partitioning index, arr[pi] is now at right place
+             */
+            int pi = partition(arr, low, high);
+
+            // Recursively sort elements before
+            // partition and after partition
+            sort(arr, low, pi - 1);
+            sort(arr, pi + 1, high);
+        }
+    }
+
+    /* A utility function to print array of size n */
+    static void printArray(int arr[]) {
+        int n = arr.length;
+        for (int i = 0; i < n; ++i)
+            System.out.print(arr[i] + " ");
+        System.out.println();
+    }
+
+    // Driver program
+    public static void main(String args[]) {
+        int arr[] = { 10, 7, 8, 9, 1, 5 };
+        int n = arr.length;
+
+        QuickSort ob = new QuickSort();
+        ob.sort(arr, 0, n - 1);
+
+        System.out.println("sorted array");
+        printArray(arr);
+    }
+}
+/* This code is contributed by Rajat Mishra */
diff --git a/Searching and Sorting/Shell Sort/ShellSort.cpp b/Searching and Sorting/Shell Sort/ShellSort.cpp
new file mode 100644
index 00000000..714daed4
--- /dev/null
+++ b/Searching and Sorting/Shell Sort/ShellSort.cpp	
@@ -0,0 +1,23 @@
+#include<iostream>
+using namespace std;
+
+void shellSort(int *arr, int n){
+    for(int gap=n/2;gap>0;gap/=2){
+        for(int i=gap;i<n;i++){
+            int temp=arr[i]; int j;
+            for(j=i;j>=gap && arr[j-gap]>temp;j=j-gap){
+                arr[j]=arr[j-gap];
+            }
+            arr[j]=temp;
+        }
+    }
+}
+
+int main(){
+    int n; cin>>n;
+    int *arr=new int[n];
+    for(int i=0;i<n;i++) cin>>arr[i];
+    shellSort(arr,n);
+    cout<<"After Sorting: ";
+    for(int i=0;i<n;i++) cout<<arr[i]<<" ";
+}
diff --git a/Sorting Algorithm/Bitonic Sort/bitonic_sort.cpp b/Sorting Algorithm/Bitonic Sort/bitonic_sort.cpp
new file mode 100644
index 00000000..f2172c33
--- /dev/null
+++ b/Sorting Algorithm/Bitonic Sort/bitonic_sort.cpp	
@@ -0,0 +1,62 @@
+#include<iostream> 
+using namespace std; 
+void compAndSwap(int a[], int i, int j, int dir);
+void bitonicMerge(int a[], int low, int cnt, int dir); 
+void bitonicSort(int a[],int low, int cnt, int dir);
+void sort(int a[], int N, int up);
+
+void compAndSwap(int a[], int i, int j, int dir) 
+{ 
+    if (dir==(a[i]>a[j])) 
+        swap(a[i],a[j]); 
+} 
+  
+void bitonicMerge(int a[], int low, int cnt, int dir) 
+{ 
+    if (cnt>1) 
+    { 
+        int k = cnt/2; 
+        for (int i=low; i<low+k; i++) 
+            compAndSwap(a, i, i+k, dir); 
+        bitonicMerge(a, low, k, dir); 
+        bitonicMerge(a, low+k, k, dir); 
+    } 
+} 
+  
+void bitonicSort(int a[],int low, int cnt, int dir) 
+{ 
+    if (cnt>1) 
+    { 
+        int k = cnt/2; 
+
+        bitonicSort(a, low, k, 1); 
+
+        bitonicSort(a, low+k, k, 0); 
+  
+        bitonicMerge(a,low, cnt, dir); 
+    } 
+} 
+  
+void sort(int a[], int N, int up) 
+{ 
+    bitonicSort(a,0, N, up); 
+} 
+  
+int main() 
+{ 
+    int N;
+    cin >> N;
+    int a[N];
+    for(int i=0;i<n;i++)
+    {
+        cin >> a[i];
+    }
+  
+    int up = 1;   
+    sort(a, N, up); 
+  
+    printf("Sorted array: \n"); 
+    for (int i=0; i<N; i++) 
+        printf("%d ", a[i]); 
+    return 0; 
+} 
\ No newline at end of file
diff --git a/Sorting Algorithm/BubbleSort/Bubblesort.C b/Sorting Algorithm/BubbleSort/Bubblesort.C
new file mode 100644
index 00000000..1758d8de
--- /dev/null
+++ b/Sorting Algorithm/BubbleSort/Bubblesort.C	
@@ -0,0 +1,42 @@
+#include<conio.h>
+#include<stdio.h>
+#include<stdlib.h>
+
+ void  main()
+ {
+ int i,j,n,temp;
+ int *arr = (int *)malloc(n*sizeof(int));
+ clrscr();
+ printf("\nEnter size of the array:");
+ scanf("%d",&n);
+
+ printf("\nEnter elements of the array:");
+ for(i=0;i<n;i++)
+ scanf("%d",&arr[i]);
+
+printf("\nBefor sorting:");
+for( i=0;i<n;i++)
+{
+   printf("\t%d",arr[i]);
+
+}
+for(i =0;i<n-1;i++)
+{
+    for( j =0;j<n-i-1;j++)
+      {
+	if(arr[j] > arr[j+1])
+	  {
+	       temp = arr[j];
+	       arr[j] = arr[j+1];
+	       arr[j+1]= temp;
+	  }
+      }
+ }
+ printf("\nSorted array:");
+ for(i=0;i<n;i++)
+   {
+     printf("\t%d",arr[i]);
+
+   }
+ getch();
+ }
\ No newline at end of file
diff --git a/Sorting Algorithm/Counting Sort/CountingSort.cpp b/Sorting Algorithm/Counting Sort/CountingSort.cpp
index e40c8b1c..b4ac5cc8 100644
--- a/Sorting Algorithm/Counting Sort/CountingSort.cpp	
+++ b/Sorting Algorithm/Counting Sort/CountingSort.cpp	
@@ -1,33 +1,33 @@
-#include<bits/stdc++.h>
-using namespace std;
-typedef long long ll;
-typedef vector<int> vi;
-typedef pair<int,int> pi;
-#define F first
-#define S second
-#define PB push_back
-#define MP make_pair
-#define REP(i,a,b) for (int i = a; i <= b; i++)
-int main(){
-ios::sync_with_stdio(0);
-//cin.tie(0);
-int SIZE=10,MAX_SIZE=10000;
-int arr[10]={5,2,3,1,9,10,10,2,9,19};
-int count[MAX_SIZE]={0};
-for(int i=0;i<SIZE;i++){
-	count[arr[i]]++;
-}
-int j=0;
-for(int i=0;i<MAX_SIZE;i++){
-	if(count[i]!=0){
-		while(count[i]!=0){
-			arr[j++]=i;
-			count[i]--;
-		}
-	}
-}
-for(int i=0;i<SIZE;i++){
-	cout<<arr[i]<<" ";
-}
-}
-
+#include<bits/stdc++.h>
+using namespace std;
+typedef long long ll;
+typedef vector<int> vi;
+typedef pair<int,int> pi;
+#define F first
+#define S second
+#define PB push_back
+#define MP make_pair
+#define REP(i,a,b) for (int i = a; i <= b; i++)
+int main(){
+ios::sync_with_stdio(0);
+//cin.tie(0);
+int SIZE=10,MAX_SIZE=10000;
+int arr[10]={5,2,3,1,9,10,10,2,9,19};
+int count[MAX_SIZE]={0};
+for(int i=0;i<SIZE;i++){
+	count[arr[i]]++;
+}
+int j=0;
+for(int i=0;i<MAX_SIZE;i++){
+	if(count[i]!=0){
+		while(count[i]!=0){
+			arr[j++]=i;
+			count[i]--;
+		}
+	}
+}
+for(int i=0;i<SIZE;i++){
+	cout<<arr[i]<<" ";
+}
+}
+
diff --git a/Sorting Algorithm/Insertion Sort/C/Insertion_sort.c b/Sorting Algorithm/Insertion Sort/C/Insertion_sort.c
index fdc66d3f..800381aa 100644
--- a/Sorting Algorithm/Insertion Sort/C/Insertion_sort.c	
+++ b/Sorting Algorithm/Insertion Sort/C/Insertion_sort.c	
@@ -1,57 +1,57 @@
-// Insertion sort is a simple sorting algorithm that works the way we sort playing cards in our hands.
-// We assume that the first card is already sorted then, we select an unsorted card. If the unsorted card is greater than the card in hand,
-// it is placed on the right otherwise, to the left. In the same way, other unsorted cards are taken and put at their right place.
-
-// A similar approach is used by insertion sort.
-
-// Insertion sort is a sorting algorithm that places an unsorted element at its suitable place in each iteration.
-
-#include<stdio.h>
-
-void insert_sort(int* arr,int n);
-//function uses inertion sort algorithm to sort the array in ascending order
-
-void print_sorted_array(int *arr,int n);
-//function to print the sorted array
-
-int main()
-{
-    int n;
-    printf("Enter the number of elements in the array: ");
-    scanf("%d",&n);
-
-    int arr[n];
-    printf("Enter the elements of the array :\n");
-    for(int i = 0; i<n ;i++)
-    {
-        scanf("%d",&arr[i]);
-    }
-
-    insert_sort(arr,n);
-    print_sorted_array(arr,n);
-    return 0;
-}
-
-void print_sorted_array(int* arr,int n)
-{
-    printf("The sorted array: ");
-    for(int i = 0; i<n; i++)
-        printf("%d ",arr[i]);
-}
-
-void insert_sort(int* arr, int n)
-{
-    for(int i = 1; i<n; i++)
-    {
-        for(int j = i; arr[j]<arr[j-1] && j>=0; j--)
-        {
-            //elements of the array gets swapped if they aren't in ascending order.
-            int temp = arr[j];
-            arr[j] = arr[j-1];
-            arr[j-1] = temp;
-        }
-    }
-}
-
-
-
+// Insertion sort is a simple sorting algorithm that works the way we sort playing cards in our hands.
+// We assume that the first card is already sorted then, we select an unsorted card. If the unsorted card is greater than the card in hand,
+// it is placed on the right otherwise, to the left. In the same way, other unsorted cards are taken and put at their right place.
+
+// A similar approach is used by insertion sort.
+
+// Insertion sort is a sorting algorithm that places an unsorted element at its suitable place in each iteration.
+
+#include<stdio.h>
+
+void insert_sort(int* arr,int n);
+//function uses inertion sort algorithm to sort the array in ascending order
+
+void print_sorted_array(int *arr,int n);
+//function to print the sorted array
+
+int main()
+{
+    int n;
+    printf("Enter the number of elements in the array: ");
+    scanf("%d",&n);
+
+    int arr[n];
+    printf("Enter the elements of the array :\n");
+    for(int i = 0; i<n ;i++)
+    {
+        scanf("%d",&arr[i]);
+    }
+
+    insert_sort(arr,n);
+    print_sorted_array(arr,n);
+    return 0;
+}
+
+void print_sorted_array(int* arr,int n)
+{
+    printf("The sorted array: ");
+    for(int i = 0; i<n; i++)
+        printf("%d ",arr[i]);
+}
+
+void insert_sort(int* arr, int n)
+{
+    for(int i = 1; i<n; i++)
+    {
+        for(int j = i; arr[j]<arr[j-1] && j>=0; j--)
+        {
+            //elements of the array gets swapped if they aren't in ascending order.
+            int temp = arr[j];
+            arr[j] = arr[j-1];
+            arr[j-1] = temp;
+        }
+    }
+}
+
+
+
diff --git a/Sorting Algorithm/Insertion Sort/Java/InsertionSort.java b/Sorting Algorithm/Insertion Sort/Java/InsertionSort.java
new file mode 100644
index 00000000..6e0da3a5
--- /dev/null
+++ b/Sorting Algorithm/Insertion Sort/Java/InsertionSort.java	
@@ -0,0 +1,29 @@
+/**
+ * 
+ * Sorts a list of generic Comparables using Insertion Sort
+ *
+ */
+public class InsertionSort {
+	
+	/**
+	 * Sorts a list of elements that extend comparable using insertion sort
+	 * algorithm
+	 * @param list A list of Comparables to be sorted
+	 */
+	public static <T extends Comparable<T>> void insertionSort (T[] list) 
+	{
+		int size = list.length;
+		int outCounter, inCounter;
+		T temp;
+		// Sort list[] into increasing order.
+		for (outCounter = 1; outCounter < size; outCounter++)
+		{
+			temp = list[outCounter];
+			for (inCounter = outCounter; inCounter > 0 && list[inCounter - 1].compareTo(temp) > 0; inCounter--)
+			{
+				list[inCounter] = list[inCounter - 1];
+			}
+			list[inCounter] = temp;
+		}
+	}
+}
diff --git a/Sorting Algorithm/Quick Sort/C/QuickSort.c b/Sorting Algorithm/Quick Sort/C/QuickSort.c
new file mode 100644
index 00000000..23eaa34b
--- /dev/null
+++ b/Sorting Algorithm/Quick Sort/C/QuickSort.c	
@@ -0,0 +1,41 @@
+#include <stdio.h>
+#include<stdlib.h>
+
+void swap(int *x,int *y)
+{
+int temp=*x;
+*x=*y;
+*y=temp;
+}
+int partition(int A[],int l,int h)
+{
+int pivot=A[l];
+int i=l,j=h;
+do
+{
+do{i++;}while(A[i]<=pivot);
+do{j--;}while(A[j]>pivot);
+if(i<j)swap(&A[i],&A[j]);
+}while(i<j);
+swap(&A[l],&A[j]);
+return j;
+}
+void QuickSort(int A[],int l,int h)
+{
+int j;
+if(l<h)
+{
+j=partition(A,l,h);
+QuickSort(A,l,j);
+QuickSort(A,j+1,h);
+}
+}
+int main()
+{
+int A[]={11,13,7,12,16,9,24,5,10,3},n=10,i;
+QuickSort(A,n);
+for(i=0;i<10;i++)
+printf("%d ",A[i]);
+printf("\n");
+return 0;
+}
\ No newline at end of file
diff --git a/Sorting Algorithm/Quick Sort/Java/QuickSort.java b/Sorting Algorithm/Quick Sort/Java/QuickSort.java
new file mode 100644
index 00000000..7ceff4b1
--- /dev/null
+++ b/Sorting Algorithm/Quick Sort/Java/QuickSort.java	
@@ -0,0 +1,59 @@
+import java.util.List;
+
+/**
+* Quick sort java algorithm
+* @author rafbel
+* @since 2019-10-15
+*
+*/
+public class QuickSort {
+
+	public static void sort(List<String> list) {
+		if (list == null) {
+			return;
+		}
+		
+		sortSublist(list, 0, list.size() - 1);
+	}
+	
+	public static void sortSublist(List<String> list, int startIndex, int endIndex) {
+		
+		if (startIndex >= endIndex) {
+			return;
+		}
+		
+		int middleIndex = partition(list, startIndex, endIndex);
+		
+		sortSublist(list, startIndex, middleIndex - 1);
+		sortSublist(list, middleIndex + 1, endIndex);
+	}
+	
+	private static int partition(List<String> list, int startIndex, int endIndex) {
+		int left = startIndex, right = endIndex - 1, pivot = endIndex;
+		
+		while (left <= right) {
+			
+			while (left <= endIndex && list.get(left).compareTo(list.get(pivot)) < 0) {
+				left++;
+			}
+			
+			while (right >= startIndex && list.get(right).compareTo(list.get(pivot)) >= 0) {
+				right--;
+			}
+			
+			if (left < right) {
+				swap(list, left, right);
+			} else {
+				swap(list, left, endIndex);
+			}
+		}
+		
+		return left;
+	}
+	
+	private static void swap(List<String> list, int smallerWordIndex, int largerWordIndex) {
+		String smallerWord = list.get(largerWordIndex);
+		list.set(largerWordIndex, list.get(smallerWordIndex));
+		list.set(smallerWordIndex, smallerWord);
+	}
+}
diff --git a/Sorting Algorithm/Selection Sort/Python/selection_sort.py b/Sorting Algorithm/Selection Sort/Python/selection_sort.py
new file mode 100644
index 00000000..6286e58b
--- /dev/null
+++ b/Sorting Algorithm/Selection Sort/Python/selection_sort.py	
@@ -0,0 +1,24 @@
+# Function for selection sort
+def selection_sort(array):
+    for i in range(0, len(array) - 1):
+        min_index = i
+
+        for j in range(i + 1, len(array)):
+            if array[j] < array[min_index]:
+                min_index = j
+
+        array[i], array[min_index] = array[min_index], array[i]
+
+# Function to print list
+def print_list(array):
+    for i in range(0, len(array)):
+        print(array[i], end = " ")
+
+    print()
+
+num = int(input())
+array = []
+for i in range(0, num):
+    array.append(int(input()))
+selection_sort(array)
+print_list(array)
diff --git a/Sorting Algorithm/Sort Nearly sorted array b/Sorting Algorithm/Sort Nearly sorted array
new file mode 100644
index 00000000..0d700763
--- /dev/null
+++ b/Sorting Algorithm/Sort Nearly sorted array	
@@ -0,0 +1,15 @@
+static void insertionSort(int A[], int size)  
+{  
+int i=0, k=0, j=0;  
+for (i = 1; i < size; i++)  
+{  
+    k = A[i];  
+    j = i-1;  
+    while (j >= 0 && A[j] > k)  
+    {  
+        A[j+1] = A[j];  
+        j = j-1;  
+    }  
+    A[j+1] = k;  
+}  
+}  
diff --git a/Sorting Algorithm/radix sort.py b/Sorting Algorithm/radix sort.py
new file mode 100644
index 00000000..a4621122
--- /dev/null
+++ b/Sorting Algorithm/radix sort.py	
@@ -0,0 +1,28 @@
+def countingSort(array, place):
+    size = len(array)
+    output = [0] * size
+    count = [0] * 10
+    for i in range(0, size):
+        index = array[i] // place
+        count[index % 10] += 1
+    for i in range(1, 10):
+        count[i] += count[i - 1]
+    i = size - 1
+    while i >= 0:
+        index = array[i] // place
+        output[count[index % 10] - 1] = array[i]
+        count[index % 10] -= 1
+        i -= 1
+    for i in range(0, size):
+        array[i] = output[i]
+def radixSort(array):
+    max_element = max(array)
+    place = 1
+    while max_element // place > 0:
+        countingSort(array, place)
+        place *= 10
+
+alist = input('Enter the list of (nonnegative) numbers: ').split()
+data = [int(x) for x in alist]
+radixSort(data)
+print(data)
diff --git a/Stack Algorithms/Balanced Parenthesis Problem/Python/balanced_parenthesis.py b/Stack Algorithms/Balanced Parenthesis Problem/Python/balanced_parenthesis.py
new file mode 100644
index 00000000..eb517d6e
--- /dev/null
+++ b/Stack Algorithms/Balanced Parenthesis Problem/Python/balanced_parenthesis.py	
@@ -0,0 +1,21 @@
+def balanced(string): 
+    opening_parens = [ '(', '[', '{' ]
+    closing_parens = [ ')', ']', '}' ]
+    parens_dict = dict(zip(opening_parens, closing_parens))
+    
+    stack = []
+    for char in string:
+        if char in opening_parens:
+            stack.append(char)
+        elif char in closing_parens:
+            if not stack or char != parens_dict[stack.pop()]:
+                return False
+    return not stack
+
+if __name__ == '__main__':
+    balanced_expression = '{[()()[]{}((()))]}'
+    print balanced(balanced_expression)
+    imbalanced_expression = '{[()()[]{}((()))]}}'
+    print balanced(imbalanced_expression)
+    invalid_expression = '{[()()[]{}((()))]}}{'
+    print balanced(invalid_expression)
diff --git a/Stack Algorithms/Push Implementation using Linked List/Python/Push using Linked List.py b/Stack Algorithms/Push Implementation using Linked List/Python/Push using Linked List.py
new file mode 100644
index 00000000..12c0c588
--- /dev/null
+++ b/Stack Algorithms/Push Implementation using Linked List/Python/Push using Linked List.py	
@@ -0,0 +1,15 @@
+def createStack(): 
+	stack = [] 
+	return stack 
+
+def isEmpty(stack): 
+	return len(stack) == 0
+
+def push(stack, item): 
+	stack.append(item) 
+	print(item + " pushed to stack ") 
+	
+stack = createStack() 
+push(stack, str(10)) 
+push(stack, str(20)) 
+push(stack, str(30)) 
diff --git a/Stack Algorithms/largest_rectangle_in_histogram_using_stack.txt b/Stack Algorithms/largest_rectangle_in_histogram_using_stack.txt
new file mode 100644
index 00000000..10598ec5
--- /dev/null
+++ b/Stack Algorithms/largest_rectangle_in_histogram_using_stack.txt	
@@ -0,0 +1,95 @@
+//Find largest rectangle area in a histogram where height of n bars is given and width of each bar is 1
+
+
+#include <iostream>
+#include <vector>
+#include <stack>
+#include <vector>
+using namespace std;
+
+
+int largestRectangleArea(vector<int> &A)
+{
+
+    //Use stack to get next smallest element of each A[i] in there left and right side
+    //vector pair is used to store index of next smallest for each A[i] in the right and left side of A[i];
+
+    const int INF=-1e9;
+
+    stack <int> s;
+    int n=A.size();
+    vector <pair <int,int> > v;
+
+    for(int i=0;i<n;i++)
+    {
+        v.push_back({INF,INF});
+    }
+
+    s.push(0);
+    for(int i=1;i<n;i++)
+    {
+          while(!s.empty()&&A[i]<A[s.top()])
+          {
+              v[s.top()].first=i;
+              s.pop();
+          }
+          s.push(i);
+
+    }
+
+    while(!s.empty()){
+        v[s.top()].first=n;
+        s.pop();
+    }
+
+
+
+    s.push(n-1);
+        for(int i=n-2;i>=0;i--)
+       {
+          while(!s.empty()&&A[i]<A[s.top()])
+          {
+              v[s.top()].second=i;
+                s.pop();
+          }
+          s.push(i);
+        }
+
+        while(!s.empty()){
+        v[s.top()].second=-1;
+        s.pop();
+       }
+
+
+
+         int ans=0;
+        for(int i=0;i<n;i++)
+        {
+
+            ans=max(ans,A[i]*(v[i].first-v[i].second-1));// using every bar as the height and calculating area of corresponding histogram
+
+
+        }
+        return ans;
+}
+
+int main()
+{
+    int n;
+    cout << "Enter no of rectangle bars" << endl;
+    cin >>  n;
+    cout <<  "Enter hieght of rectangle bars" <<  endl;
+    vector <int> a(n);
+    for(int i=0;i<n;i++)
+    {
+        cin >> a[i];
+
+    }
+
+  cout <<   "Largest Rectangle area in histogram is " <<    largestRectangleArea(a) << endl ;
+}
+//Time Complexity : O(N)
+//Space Complexity : O(N)
+
+
+
diff --git a/Stack Algorithms/next_greater_element_using_stack.txt b/Stack Algorithms/next_greater_element_using_stack.txt
new file mode 100644
index 00000000..5e77385e
--- /dev/null
+++ b/Stack Algorithms/next_greater_element_using_stack.txt	
@@ -0,0 +1,53 @@
+//Program to find next greater number for each element in an array.
+//next greater element for an element 'x' is first greater element present on the right side of 'x' in the arrau
+
+
+
+
+#include <iostream>
+#include <stack>
+using namespace std;
+
+      int main()
+      {
+
+             int  n;
+             cin >>  n; // n is no of integers
+
+              int  a[n+1];// array for integers
+             for(int i=1;i<=n;i++)
+             {
+                   cin >> a[i];
+             }
+
+             stack <int > s;
+
+             s.push(a[1]);//using stack to keep track of elements whose next greater has not been found
+
+
+             for(int i=2;i<=n;i++)
+             {
+                 while((!s.empty())&&(s.top()<a[i]))
+                 {
+
+                   cout <<  "Next Greater element for " << s.top() << " is " <<  a[i] <<  endl;
+                   s.pop();
+                 }
+
+                 s.push(a[i]);
+             }
+             while(!s.empty())//elements that are left have no greater element
+             {
+
+                 cout << "There is no next greater element of " << s.top() << " in the array " <<  endl;
+                 s.pop();
+             }
+
+             //Time Complexity : O(N)
+             //Space Complexity: O(N)
+
+             // where N is number of integers given in the input
+
+             // Note: You can also find next smallest number ,just by changing the sign '<' to '>' in line 30.
+      }
+
diff --git a/Staircase Search/staircaseSearch.cpp b/Staircase Search/staircaseSearch.cpp
new file mode 100644
index 00000000..285c5963
--- /dev/null
+++ b/Staircase Search/staircaseSearch.cpp	
@@ -0,0 +1,40 @@
+/* Searches the element x in mat[][]. If the  
+element is found, then prints its position  
+and returns true, otherwise prints "not found" 
+and returns false */
+int search(int mat[4][4], int n, int x) 
+{ 
+    if (n == 0) 
+        return -1; 
+    int smallest = a[0][0], largest = a[n - 1][n - 1]; 
+    if (x < smallest || x > largest) 
+        return -1; 
+    // set indexes for top right element 
+    int i = 0, j = n - 1;  
+    while (i < n && j >= 0) { 
+        if (mat[i][j] == x) { 
+            cout << "n Found at "
+                 << i << ", " << j; 
+            return 1; 
+        } 
+        if (mat[i][j] > x) 
+            j--; 
+        else // if mat[i][j] < x 
+            i++; 
+    } 
+  
+    cout << "n Element not found"; 
+    return 0; // if ( i==n || j== -1 ) 
+} 
+  
+// Driver code 
+int main() 
+{ 
+    int mat[4][4] = { { 10, 20, 30, 40 }, 
+                      { 15, 25, 35, 45 }, 
+                      { 27, 29, 37, 48 }, 
+                      { 32, 33, 39, 50 } }; 
+    search(mat, 4, 29); 
+  
+    return 0; 
+}
diff --git a/Strings/Suffix Tree.cpp b/Strings/Suffix Tree.cpp
new file mode 100644
index 00000000..34808b0c
--- /dev/null
+++ b/Strings/Suffix Tree.cpp	
@@ -0,0 +1,69 @@
+#include <bits/stdc++.h>
+using namespace std;
+//Ukkonen's Algorithm
+
+const int N=1000000,    // maximum possible number of nodes in suffix tree
+    INF=1000000000; // infinity constant
+string a;       // input string for which the suffix tree is being built
+int t[N][26],   // array of transitions (state, letter)
+    l[N],   // left...
+    r[N],   // ...and right boundaries of the substring of a which correspond to incoming edge
+    p[N],   // parent of the node
+    s[N],   // suffix link
+    tv,     // the node of the current suffix (if we're mid-edge, the lower node of the edge)
+    tp,     // position in the string which corresponds to the position on the edge (between l[tv] and r[tv], inclusive)
+    ts,     // the number of nodes
+    la;     // the current character in the string
+
+void ukkadd(int c) { // add character s to the tree
+    suff:;      // we'll return here after each transition to the suffix (and will add character again)
+    if (r[tv]<tp) { // check whether we're still within the boundaries of the current edge
+        // if we're not, find the next edge. If it doesn't exist, create a leaf and add it to the tree
+        if (t[tv][c]==-1) {t[tv][c]=ts;l[ts]=la;p[ts++]=tv;tv=s[tv];tp=r[tv]+1;goto suff;}
+        tv=t[tv][c];tp=l[tv];
+    } // otherwise just proceed to the next edge
+    if (tp==-1 || c==a[tp]-'a')
+        tp++; // if the letter on the edge equal c, go down that edge
+    else { 
+        // otherwise split the edge in two with middle in node ts
+        l[ts]=l[tv];r[ts]=tp-1;p[ts]=p[tv];t[ts][a[tp]-'a']=tv;
+        // add leaf ts+1. It corresponds to transition through c.
+        t[ts][c]=ts+1;l[ts+1]=la;p[ts+1]=ts;
+        // update info for the current node - remember to mark ts as parent of tv
+        l[tv]=tp;p[tv]=ts;t[p[ts]][a[l[ts]]-'a']=ts;ts+=2;
+        // prepare for descent
+        // tp will mark where are we in the current suffix
+        tv=s[p[ts-2]];tp=l[ts-2];
+        // while the current suffix is not over, descend
+        while (tp<=r[ts-2]) {tv=t[tv][a[tp]-'a'];tp+=r[tv]-l[tv]+1;}
+        // if we're in a node, add a suffix link to it, otherwise add the link to ts
+        // (we'll create ts on next iteration).
+        if (tp==r[ts-2]+1) s[ts-2]=tv; else s[ts-2]=ts; 
+        // add tp to the new edge and return to add letter to suffix
+        tp=r[tv]-(tp-r[ts-2])+2;goto suff;
+    }
+}
+
+void build() {
+    ts=2;
+    tv=0;
+    tp=0;
+    fill(r,r+N,(int)a.size()-1);
+    // initialize data for the root of the tree
+    s[0]=1;
+    l[0]=-1;
+    r[0]=-1;
+    l[1]=-1;
+    r[1]=-1;
+    memset (t, -1, sizeof t);
+    fill(t[1],t[1]+26,0);
+    // add the text to the tree, letter by letter
+    for (la=0; la<(int)a.size(); ++la)
+        ukkadd (a[la]-'a');
+}
+
+int main() {
+  cin >> a;
+  build();
+  return 0;
+}
\ No newline at end of file
diff --git a/Strings/isPalindrome.js b/Strings/isPalindrome.js
new file mode 100644
index 00000000..70ae85ca
--- /dev/null
+++ b/Strings/isPalindrome.js
@@ -0,0 +1,4 @@
+export default function isPalindrome(inputString) {
+  const reversedString = inputString.split("").reverse().join("");
+  return inputString === reversedString;
+}
diff --git a/Strings/kmpstringmatching.py b/Strings/kmpstringmatching.py
new file mode 100644
index 00000000..17011c63
--- /dev/null
+++ b/Strings/kmpstringmatching.py
@@ -0,0 +1,39 @@
+def KMPSearch(pat, txt): 
+	M = len(pat) 
+	N = len(txt) 
+	lps = [0]*M 
+	j = 0 
+	computeLPSArray(pat, M, lps) 
+
+	i = 0 
+	while i < N: 
+		if pat[j] == txt[i]: 
+			i += 1
+			j += 1
+
+		if j == M: 
+			print ("Found pattern at index " ,(i-j))
+			j = lps[j-1] 
+		elif i < N and pat[j] != txt[i]: 
+			if j != 0: 
+				j = lps[j-1] 
+			else: 
+				i += 1
+def computeLPSArray(pat, M, lps): 
+	len = 0 
+	lps[0] =0
+	i = 1
+	while i < M: 
+		if pat[i]== pat[len]: 
+			len += 1
+			lps[i] = len
+			i += 1
+		else: 
+			if len != 0: 
+				len = lps[len-1] 
+			else: 
+				lps[i] = 0
+				i += 1
+txt = "ABABDABACDABABCABAB"
+pat = "ABABCABAB"
+KMPSearch(pat, txt) 
diff --git a/Strings/lexicographicRank.cpp b/Strings/lexicographicRank.cpp
new file mode 100644
index 00000000..9e628687
--- /dev/null
+++ b/Strings/lexicographicRank.cpp
@@ -0,0 +1,68 @@
+/*
+Input : str[] = "acb"
+Output : Rank = 2
+
+Input : str[] = "string"
+Output : Rank = 598
+
+Input : str[] = "cba"
+Output : Rank = 6
+*/
+
+// C++ program to find lexicographic rank 
+// of a string 
+#include <bits/stdc++.h> 
+#include <string.h> 
+  
+using namespace std; 
+// A utility function to find factorial of n 
+int fact(int n) 
+{ 
+    return (n <= 1) ? 1 : n * fact(n - 1); 
+} 
+  
+// A utility function to count smaller characters on right 
+// of arr[low] 
+int findSmallerInRight(char* str, int low, int high) 
+{ 
+    int countRight = 0, i; 
+  
+    for (i = low + 1; i <= high; ++i) 
+        if (str[i] < str[low]) 
+            ++countRight; 
+  
+    return countRight; 
+} 
+  
+// A function to find rank of a string in all permutations 
+// of characters 
+int findRank(char* str) 
+{ 
+    int len = strlen(str); 
+    int mul = fact(len); 
+    int rank = 1; 
+    int countRight; 
+  
+    int i; 
+    for (i = 0; i < len; ++i) { 
+        mul /= len - i; 
+  
+        // count number of chars smaller than str[i] 
+        // fron str[i+1] to str[len-1] 
+        countRight = findSmallerInRight(str, i, len - 1); 
+  
+        rank += countRight * mul; 
+    } 
+  
+    return rank; 
+} 
+  
+// Driver program to test above function 
+int main() 
+{ 
+    char str[] = "string"; 
+    cout << findRank(str); 
+    return 0; 
+} 
+  
+// This code is contributed by Subrat Kumar Swain
\ No newline at end of file
diff --git a/Strings/naivestringmatching.py b/Strings/naivestringmatching.py
new file mode 100644
index 00000000..8f34abc7
--- /dev/null
+++ b/Strings/naivestringmatching.py
@@ -0,0 +1,23 @@
+ def search(pat, txt): 
+	M = len(pat) 
+	N = len(txt) 
+
+	# A loop to slide pat[] one by one 
+	for i in range(N - M + 1): 
+		j = 0
+		
+		# For current index i, check 
+		# for pattern match 
+		while(j < M): 
+			if (txt[i + j] != pat[j]): 
+				break
+			j += 1
+
+		if (j == M): 
+			print("Pattern found at index ", i) 
+
+# Driver Code 
+if __name__ == '__main__': 
+	txt = "AABAACAADAABAAABAA"
+	pat = "AABA"
+	search(pat, txt)
diff --git a/Strings/robbinkarpstringmatching.py b/Strings/robbinkarpstringmatching.py
new file mode 100644
index 00000000..2c9eb38c
--- /dev/null
+++ b/Strings/robbinkarpstringmatching.py
@@ -0,0 +1,28 @@
+import math
+d = 256
+def search(pat, txt, q): 
+	M = len(pat) 
+	N = len(txt) 
+	p = 0 
+	t = 0 
+	h = pow(d,M-1)%q
+	for i in range(M): 
+		p = (d*p + ord(pat[i]))%q 
+		t = (d*t + ord(txt[i]))%q 
+	for i in range(N-M+1): 
+		if p==t: 
+			for j in range(M): 
+				if txt[i+j] != pat[j]: 
+					break
+
+			j+=1
+			if j==M: 
+				print ("Pattern found at index " ,i)
+		if i < N-M: 
+			t = (d*(t-ord(txt[i])*h) + ord(txt[i+M]))%q 
+			if t < 0: 
+				t = t+q 
+txt = "Sourav Mondal SM"
+pat = "SM"
+q = 101 
+search(pat,txt,q) 
diff --git a/Tapping Rain Water b/Tapping Rain Water
new file mode 100644
index 00000000..9c13e00a
--- /dev/null
+++ b/Tapping Rain Water	
@@ -0,0 +1,22 @@
+class Test 
+{ 
+    static int arr[] = new int[]{0, 1, 0, 2, 1, 0, 1, 3, 2, 1, 2, 1}; //Example
+      
+    static int findWater(int n) 
+    { 
+        int left[] = new int[n]; 
+        int right[] = new int[n]; 
+       
+        int water = 0; 
+        left[0] = arr[0]; 
+        for (int i = 1; i < n; i++) 
+           left[i] = Math.max(left[i-1], arr[i]); 
+         right[n-1] = arr[n-1]; 
+        for (int i = n-2; i >= 0; i--) 
+           right[i] = Math.max(right[i+1], arr[i]); 
+        for (int i = 0; i < n; i++) 
+           water += Math.min(left[i],right[i]) - arr[i]; 
+       
+        return water; 
+    } 
+      
diff --git a/Tower of Hanoi - Java.txt b/Tower of Hanoi - Java.txt
new file mode 100644
index 00000000..ddaa093a
--- /dev/null
+++ b/Tower of Hanoi - Java.txt	
@@ -0,0 +1,20 @@
+class XYZ 
+{ 
+    static void towerOfHanoi(int n, char from_rod, char to_rod, char aux_rod) 
+    { 
+        if (n == 1) 
+        { 
+            System.out.println("Move disk 1 from rod " +  from_rod + " to rod " + to_rod); 
+            return; 
+        } 
+        towerOfHanoi(n-1, from_rod, aux_rod, to_rod); 
+        System.out.println("Move disk " + n + " from rod " +  from_rod + " to rod " + to_rod); 
+        towerOfHanoi(n-1, aux_rod, to_rod, from_rod); 
+    } 
+      
+    public static void main(String args[]) 
+    { 
+        int n = 4;  
+        towerOfHanoi(n, \'A\', \'C\', \'B\');  
+    } 
+} 
\ No newline at end of file
diff --git a/Tree Traversal/tree_traversal.c b/Tree Traversal/tree_traversal.c
new file mode 100644
index 00000000..bd20c995
--- /dev/null
+++ b/Tree Traversal/tree_traversal.c	
@@ -0,0 +1,147 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <stdbool.h>
+
+typedef struct node
+{
+    int data;
+    struct node *left;
+    struct node *right;
+} Node;
+
+typedef struct tree
+{
+    Node *root;
+} Tree;
+
+void tree_initialize(Tree *tree);
+void tree_insert(Tree *tree, int data);
+
+void inorder(Tree *tree);
+void preorder(Tree *tree);
+void postorder(Tree *tree);
+void tree_destroy(Tree *tree);
+
+int main()
+{
+    int choice, loop = 1;
+    Tree my_tree;
+    tree_initialize(&my_tree);
+    while (loop)
+    {
+        scanf("%d", &choice);
+        switch (choice)
+        {
+            int number_of_elements, element, index;
+            int data;
+        case 1:
+            /* Insert elements */
+            scanf("%d", &element);
+            tree_insert(&my_tree, element);
+            break;
+        case 2:
+            /* Print elements in the inorder fashion */
+            preorder(&my_tree);
+            break;
+        case 3:
+            /* Print elements in the preorder fashion */
+            inorder(&my_tree);
+            break;
+        case 4:
+            /* Print elements in the postorder fashion */
+            postorder(&my_tree);
+            break;
+        default:
+            tree_destroy(&my_tree);
+            loop = 0;
+            break;
+        }
+    }
+    return 0;
+}
+void tree_initialize(Tree *tree)
+{
+    tree->root==NULL;
+}
+
+Node* create_Node(int data){
+    Node *new = (Node *)malloc(sizeof(Node));
+    new->data = data;
+    new->left = new->right = NULL;
+
+    return new;
+}
+
+Node* rec_Insert_Node(Node *root, int data){
+    Node *new = create_Node(data);
+
+    if (root == NULL){
+        root = new;
+    }
+    else if (root->data > new->data){
+        root->left = rec_Insert_Node(root->left, data);
+    }
+    else if (root->data < new->data){
+        root->right = rec_Insert_Node(root->right, data);
+    }
+    return root;
+}
+
+void tree_insert(Tree *tree, int data){
+    tree->root=rec_Insert_Node(tree->root, data);
+}
+
+void tree_inorder(Node *r)
+{
+    if(r!=NULL){
+        tree_inorder(r->left);
+        printf("%d ",r->data);
+        tree_inorder(r->right);
+    }
+}
+
+void tree_preorder(Node *r)
+{
+    if (r != NULL){
+        printf("%d ", r->data);
+        tree_preorder(r->left);
+        tree_preorder(r->right);
+    }
+}
+
+void tree_postorder(Node *r)
+{
+    if (r != NULL){
+        tree_postorder(r->left);
+        tree_postorder(r->right);
+        printf("%d ", r->data);
+    }
+}
+
+void postorder(Tree *t)
+{
+    tree_postorder(t->root);
+    printf("\n");
+}
+
+void preorder(Tree *t)
+{
+    tree_preorder(t->root);
+    printf("\n");
+}
+
+void inorder(Tree *t)
+{
+    tree_inorder(t->root);
+    printf("\n");
+}
+
+void destroy(Node *r)
+{
+    r=NULL;
+}
+
+void tree_destroy(Tree *t)
+{
+    destroy(t->root);
+}
\ No newline at end of file
diff --git a/Tree/AVL/C/avl.c b/Tree/AVL/C/avl.c
new file mode 100644
index 00000000..824d080f
--- /dev/null
+++ b/Tree/AVL/C/avl.c
@@ -0,0 +1,149 @@
+#include <stdio.h>
+#include <stdlib.h>
+
+
+struct node{
+
+   int height;
+   int info;
+   struct node* left;
+   struct node* right;
+
+};
+
+typedef struct node root;
+
+void creation(root**,int);
+void left_rotation(root**);
+void right_rotation(root**);
+void checker(root**,int);
+void inorder_traverse(root*);
+void preorder_traerse(root*);
+void postorder_traverse(root*);
+int height(root*);
+int main(){
+
+root* Tree=NULL;
+
+creation(&Tree,11);
+creation(&Tree,13);
+creation(&Tree,12);
+inorder_traverse(Tree);
+
+return 0;	
+}
+
+void creation(root** ROOT,int info){
+
+if (*ROOT==NULL){
+*ROOT=(root*)malloc(sizeof(root));
+(*ROOT)->left=NULL;
+(*ROOT)->right=NULL;
+(*ROOT)->height=0;
+if(*ROOT==NULL)
+{printf("No memory available\n");
+exit(-1);}  
+else{
+(*ROOT)->info=info;
+   return;
+}
+}
+else{
+//printf("%d\n",info);
+if((*ROOT)->info <= info) 
+	{  
+		creation(&((*ROOT)->right),info);
+
+	}
+else{
+		
+creation(&((*ROOT)->left),info);
+}
+}
+//printf("%d",info);
+checker(ROOT,info);
+
+}
+
+void checker(root** ROOT,int info){
+     
+     int a,b;
+    (*ROOT)->height=1+(a=height((*ROOT)->right))>(b=height((*ROOT)->left))?a:b;
+     int diff = b-a;
+    if (diff>1 || diff<-1){
+    	
+    		if (info >= (*ROOT)->info){
+    			if (info < (*ROOT)->right->info){
+    				right_rotation(&((*ROOT)->right));
+    			   }
+    		     }
+
+
+    		else{
+    			if (info >= (*ROOT)->left->info){
+    				left_rotation(&((*ROOT)->left));
+    			}
+    		}
+    		if (diff>0){
+    		right_rotation(ROOT);
+    	}
+    	else{
+    		left_rotation(ROOT);
+    	}
+    }
+    return ;
+
+}
+void right_rotation(root** ROOT){
+    root* temp= (*ROOT)->left;
+    *ROOT=temp;
+    (*ROOT)->left=temp->right;	
+   }
+
+ void left_rotation(root** ROOT){
+ 	root* temp= (*ROOT)->right;
+ 	*ROOT=temp;
+ 	(*ROOT)->right=temp->left;
+ }
+
+ void inorder_traverse(root* ROOT){
+//printf("Entering");
+if (ROOT==NULL)
+{printf("Empty tree\n");
+exit(-1);}
+ROOT->left!=NULL ? inorder_traverse(ROOT->left):printf("");
+printf("%d ",ROOT->info);
+ROOT->right!=NULL ? inorder_traverse(ROOT->right):printf("");
+}
+
+
+void postorder_traverse(root* ROOT){
+	if (ROOT==NULL)
+	{
+		printf("Empty tree\n");
+		exit(-1);
+	}
+      ROOT->left!=NULL ? postorder_traverse(ROOT->left):printf("");
+      ROOT->right!=NULL? postorder_traverse(ROOT->right):printf("");
+      printf("%d ",ROOT->info);
+
+
+}
+
+void preorder_traverse(root* ROOT){
+	if (ROOT==NULL){
+		printf("Empty tree");
+		exit(-1);
+	}
+	printf("%d ",ROOT->info);
+	ROOT->left!=NULL ? preorder_traverse(ROOT->left):printf("");
+    ROOT->right!=NULL? preorder_traverse(ROOT->right):printf("");
+
+}
+int height(root* ROOT){
+
+   if (ROOT==NULL){
+   	  return 0;
+   }
+    return ROOT->height;
+}
diff --git a/Tree/Tree Traversal/C++/treetaversal.cpp b/Tree/Tree Traversal/C++/treetaversal.cpp
index 13c488a9..02ad8266 100644
--- a/Tree/Tree Traversal/C++/treetaversal.cpp	
+++ b/Tree/Tree Traversal/C++/treetaversal.cpp	
@@ -1,5 +1,6 @@
 // C++ program for different tree traversals 
 #include <iostream> 
+#include <queue>
 using namespace std; 
   
 /* A binary tree node has data, pointer to left child 
@@ -63,7 +64,36 @@ void printPreorder(struct Node* node)
     /* now recur on right subtree */
     printPreorder(node->right); 
 }  
+ // Iterative method to find height of Binary Tree 
+// Print level order traversal using queue 
+// complexity O(n)
+void printLevelOrder(struct Node* root) 
+{ 
+    // Base Case 
+    if (NULL == root)  return; 
+  
+    // Create an empty queue for level order tarversal 
+    queue<struct Node*> q; 
+  
+    // Enqueue Root and initialize height 
+    q.push(root); 
   
+    while (q.empty() == false) 
+    { 
+        // Print front of queue and remove it from queue 
+        struct Node *node = q.front(); 
+        cout << node->data << " "; 
+        q.pop(); 
+  
+        /* Enqueue left child */
+        if (node->left != NULL) 
+            q.push(node->left); 
+  
+        /*Enqueue right child */
+        if (node->right != NULL) 
+            q.push(node->right); 
+    } 
+} 
 /* Driver program to test above functions*/
 int main() 
 { 
@@ -82,5 +112,7 @@ int main()
     cout << "\nPostorder traversal of binary tree is \n"; 
     printPostorder(root); 
   
+    cout << "\nLevelOrder traversal of binary tree is \n"; 
+    printLevelOrder(root);
     return 0; 
 } 
diff --git a/Tree/Tree Traversal/DiagonalTraversal.cpp b/Tree/Tree Traversal/DiagonalTraversal.cpp
new file mode 100644
index 00000000..e3b020e5
--- /dev/null
+++ b/Tree/Tree Traversal/DiagonalTraversal.cpp	
@@ -0,0 +1,77 @@
+#include <iostream>
+#include <vector>
+
+using namespace std;
+
+class Node {
+
+public:
+    int value;
+    Node* left;
+    Node* right;
+
+    Node (int val) {
+        this->value = val;
+        this->left = NULL;
+        this->right = NULL;
+    }
+};
+
+vector< vector< int > > diaTree;
+
+void diagonalTraversalUtil (Node* root, int index) {
+    if (root == NULL) {
+        return;
+    }
+
+    if (index < diaTree.size()) {
+        diaTree[index].push_back(root->value);
+    } else {
+        vector<int> temp = {root->value};
+
+        diaTree.push_back(temp);
+    }
+    diagonalTraversalUtil (root->left, index+1);
+    diagonalTraversalUtil (root->right, index);
+}
+
+void diagonalTraversal (Node* root) {
+
+    diagonalTraversalUtil (root, 0);
+
+    for (int i = 0; i < diaTree.size(); i++) {
+        cout << "Diagonal " << i+1 << ": ";
+        for (int j = 0; j < diaTree[i].size(); j++) {
+            cout << diaTree[i][j] << " ";
+        }
+        cout << endl;
+    }
+}
+
+int main () {
+    Node* root = new Node(1);
+    root->left = new Node(2);
+    root->right = new Node(3);
+    root->left->left = new Node(4);
+    root->left->right = new Node(5);
+    root->right->left = new Node(6);
+    root->right->left->left = new Node(7);
+
+
+    /*
+                1
+               / \
+              /   \
+             2     3
+            / \    |
+           /   \   |
+          4     5 /
+                 6
+                /
+               7
+    */
+
+    diagonalTraversal(root);
+
+    return 0;
+}
diff --git a/Tree/Tree View/BottomView.cpp b/Tree/Tree View/BottomView.cpp
new file mode 100644
index 00000000..a6564e08
--- /dev/null
+++ b/Tree/Tree View/BottomView.cpp	
@@ -0,0 +1,81 @@
+#include <iostream>
+#include <deque>
+
+using namespace std;
+
+class Node {
+
+public:
+    int value;
+    Node* left;
+    Node* right;
+
+    Node (int val) {
+        this->value = val;
+        this->left = NULL;
+        this->right = NULL;
+    }
+};
+
+deque <int> dq;
+int low, high;
+
+void bottomViewUtil (Node* root, int horDist) {
+    if (root == NULL) {
+        return;
+    }
+
+    if (!dq.empty() && horDist > high) {
+        dq.push_back(root->value);
+        high++;
+    } else if (horDist < low) {
+        dq.push_front(root->value);
+        low--;
+    } else {
+        dq[horDist-low] = root->value;
+    }
+    bottomViewUtil (root->left, horDist-1);
+    bottomViewUtil (root->right, horDist+1);
+}
+
+void bottomView (Node* root) {
+    low = 0;
+    high = -1;
+
+    bottomViewUtil (root, 0);
+
+    deque <int> :: iterator i;
+
+    cout << "Bottom View: ";
+    for (i = dq.begin(); i != dq.end(); i++) {
+        cout << *i << " ";
+    }
+    cout << endl;
+}
+
+int main () {
+    Node* root = new Node(1);
+    root->left = new Node(2);
+    root->right = new Node(3);
+    root->left->left = new Node(4);
+    root->left->right = new Node(5);
+    root->right->left = new Node(6);
+    root->right->left->left = new Node(7);
+
+
+    /*
+                1
+               /.\
+              2 . 3
+             /.\. |
+            4 . 5 |
+              . ./
+              . 6
+              ./
+              7
+    */
+
+    bottomView(root);
+
+    return 0;
+}
diff --git a/Tree/Tree View/LeftView.cpp b/Tree/Tree View/LeftView.cpp
new file mode 100644
index 00000000..6b1ac614
--- /dev/null
+++ b/Tree/Tree View/LeftView.cpp	
@@ -0,0 +1,72 @@
+#include <iostream>
+
+using namespace std;
+
+class Node {
+
+public:
+    int value;
+    Node* left;
+    Node* right;
+
+    Node (int val) {
+        this->value = val;
+        this->left = NULL;
+        this->right = NULL;
+    }
+};
+
+int maxLevel;
+
+void leftViewUtil(Node* root, int level) {
+    // Check if new level reached is the highest
+    if (maxLevel < level) {
+        cout << root -> value << endl;
+        maxLevel = level;
+    }
+
+    // Left side of the tree is traversed first so that
+    // left nodes are checked first for the condition that
+    // whether they have reached new max level or not.
+    if (root -> left != NULL) {
+        leftViewUtil(root -> left, level+1);
+    }
+
+    if (root -> right != NULL) {
+        leftViewUtil(root -> right, level+1);
+    }
+}
+
+void leftView(Node *root) {
+   maxLevel = -1;
+
+   leftViewUtil(root, 0);
+}
+
+int main () {
+    Node* root = new Node(1);
+    root->left = new Node(2);
+    root->right = new Node(3);
+    root->left->left = new Node(4);
+    root->left->right = new Node(5);
+    root->right->left = new Node(6);
+    root->right->left->left = new Node(7);
+
+
+    /*
+      ->        1
+               / \
+              /   \
+             /     \
+      ->    2       3
+           / \     /
+      ->  4   5   6
+                 /
+      ->        7
+    */
+
+    cout << "Left view of the tree: \n";
+    leftView(root);
+
+    return 0;
+}
diff --git a/Tree/Tree View/TopView.cpp b/Tree/Tree View/TopView.cpp
new file mode 100644
index 00000000..20b3fca3
--- /dev/null
+++ b/Tree/Tree View/TopView.cpp	
@@ -0,0 +1,84 @@
+#include <iostream>
+#include <deque>
+
+using namespace std;
+
+class Node {
+
+public:
+    int value;
+    Node* left;
+    Node* right;
+
+    Node (int val) {
+        this->value = val;
+        this->left = NULL;
+        this->right = NULL;
+    }
+};
+
+deque <int> dq;
+int low, high;
+
+void topViewUtil (Node* root, int horDist) {
+    if (root == NULL) {
+        return;
+    }
+
+    if (!dq.empty() && horDist > high) {
+        dq.push_back(root->value);
+        high++;
+    } else if (horDist < low) {
+        dq.push_front(root->value);
+        low--;
+    }
+    topViewUtil (root->left, horDist-1);
+    topViewUtil (root->right, horDist+1);
+}
+
+void topView (Node* root) {
+    low = 0;
+    high = 0;
+
+    dq.push_back(root->value);
+    topViewUtil (root, 0);
+
+    deque <int> :: iterator i;
+
+    cout << "Bottom View: ";
+    for (i = dq.begin(); i != dq.end(); i++) {
+        cout << *i << " ";
+    }
+    cout << endl;
+}
+
+int main () {
+    Node* root = new Node(1);
+    root->left = new Node(2);
+    root->right = new Node(3);
+    root->left->left = new Node(4);
+    root->left->right = new Node(5);
+    root->right->left = new Node(6);
+    root->right->left->left = new Node(7);
+
+
+    /*
+                1
+               /.\
+              / . \
+             2  .  3
+            /.\ .  |
+           / . \.  |
+          4  .  5  |
+             .  . /
+             .  ./
+             .  6
+             . /
+             ./
+             7
+    */
+
+    topView(root);
+
+    return 0;
+}
diff --git a/Union FInd/Java/QuickFindUF.java b/Union FInd/Java/QuickFindUF.java
new file mode 100644
index 00000000..09ce5200
--- /dev/null
+++ b/Union FInd/Java/QuickFindUF.java	
@@ -0,0 +1,23 @@
+import java.util.*;
+public class QuickFindUF
+{
+	private int id[];
+	public QuickFindUF(int N)
+	{
+		id=new int[N];
+	}
+	public boolean connected(int p,int q)
+	{
+		return id[p]==id[q];
+	}
+	public void union(int p,int q)
+	{
+		int pid=id[p];
+		int qid=id[q];
+		for(int i=0;i<id.length;i++)
+		{
+			if(id[i]==pid)
+			id[i]=qid;
+		}
+	}
+}
\ No newline at end of file
diff --git a/Union FInd/Java/QuickUnionUF.java b/Union FInd/Java/QuickUnionUF.java
new file mode 100644
index 00000000..f80c4b4c
--- /dev/null
+++ b/Union FInd/Java/QuickUnionUF.java	
@@ -0,0 +1,34 @@
+public class QuickUnionUF
+{
+	private int[] id;
+	
+	public QuickUnionUF(int n)
+	{
+		id = new int[N];
+		for(int i=0;i<n;i++)
+		{
+			id[i]=i;
+		}
+	}
+	
+	private int root(int i)
+	{
+		while(i != id[i])
+		{
+			i=id[i];
+		}
+		return i;
+	}
+	
+	public boolean connected(int p,int q)
+	{
+		return root(p)==root(q);
+	}
+	
+	public void union(int p,int q)
+	{
+		int i = root(p);
+		int j = root(q);
+		id[i] = j;
+	}
+}
\ No newline at end of file
diff --git a/VertexCoverProblem.cpp b/VertexCoverProblem.cpp
new file mode 100644
index 00000000..75d9c78c
--- /dev/null
+++ b/VertexCoverProblem.cpp
@@ -0,0 +1,86 @@
+// Program to print Vertex Cover of a given undirected graph 
+#include<iostream> 
+#include <list> 
+using namespace std; 
+
+// This class represents a undirected graph using adjacency list 
+class Graph 
+{ 
+	int V; // No. of vertices 
+	list<int> *adj; // Pointer to an array containing adjacency lists 
+public: 
+	Graph(int V); // Constructor 
+	void addEdge(int v, int w); // function to add an edge to graph 
+	void printVertexCover(); // prints vertex cover 
+}; 
+
+Graph::Graph(int V) 
+{ 
+	this->V = V; 
+	adj = new list<int>[V]; 
+} 
+
+void Graph::addEdge(int v, int w) 
+{ 
+	adj[v].push_back(w); // Add w to v’s list. 
+	adj[w].push_back(v); // Since the graph is undirected 
+} 
+
+// The function to print vertex cover 
+void Graph::printVertexCover() 
+{ 
+	// Initialize all vertices as not visited. 
+	bool visited[V]; 
+	for (int i=0; i<V; i++) 
+		visited[i] = false; 
+
+	list<int>::iterator i; 
+
+	// Consider all edges one by one 
+	for (int u=0; u<V; u++) 
+	{ 
+		// An edge is only picked when both visited[u] and visited[v] 
+		// are false 
+		if (visited[u] == false) 
+		{ 
+			// Go through all adjacents of u and pick the first not 
+			// yet visited vertex (We are basically picking an edge 
+			// (u, v) from remaining edges. 
+			for (i= adj[u].begin(); i != adj[u].end(); ++i) 
+			{ 
+				int v = *i; 
+				if (visited[v] == false) 
+				{ 
+					// Add the vertices (u, v) to the result set. 
+					// We make the vertex u and v visited so that 
+					// all edges from/to them would be ignored 
+					visited[v] = true; 
+					visited[u] = true; 
+					break; 
+				} 
+			} 
+		} 
+	} 
+
+	// Print the vertex cover 
+	for (int i=0; i<V; i++) 
+		if (visited[i]) 
+		cout << i << " "; 
+} 
+
+// Driver program to test methods of graph class 
+int main() 
+{ 
+	// Create a graph given in the above diagram 
+	Graph g(7); 
+	g.addEdge(0, 1); 
+	g.addEdge(0, 2); 
+	g.addEdge(1, 3); 
+	g.addEdge(3, 4); 
+	g.addEdge(4, 5); 
+	g.addEdge(5, 6); 
+
+	g.printVertexCover(); 
+
+	return 0; 
+} 
diff --git a/allprime.cpp b/allprime.cpp
new file mode 100644
index 00000000..623bf89c
--- /dev/null
+++ b/allprime.cpp
@@ -0,0 +1,23 @@
+//PROGRAM TO PRINT FIRST N PRIME NUMBERS
+
+#include<iostream>
+using namespace std;
+int main()
+{
+ int i,n=2,N,j;
+ cin>>N;
+     for(i=1;i<=N;i++)
+     {
+         for(j=2;j<=n;j++)
+         {
+         if(n%i==0)
+          continue;
+         }
+         cout<<endl<<n;
+         n++;
+     }
+
+
+
+ return 0;
+}
diff --git a/balanced parentheses.py b/balanced parentheses.py
new file mode 100644
index 00000000..eff1e1d7
--- /dev/null
+++ b/balanced parentheses.py	
@@ -0,0 +1,27 @@
+# Python3 code to Check for 
+# balanced parentheses in an expression 
+open_list = ["[","{","("] 
+close_list = ["]","}",")"] 
+
+# Function to check parentheses 
+def check(myStr): 
+	stack = [] 
+	for i in myStr: 
+		if i in open_list: 
+			stack.append(i) 
+		elif i in close_list: 
+			pos = close_list.index(i) 
+			if ((len(stack) > 0) and
+				(open_list[pos] == stack[len(stack)-1])): 
+				stack.pop() 
+			else: 
+				return "Unbalanced"
+	if len(stack) == 0: 
+		return "Balanced"
+
+# Driver code 
+string = "{[]{()}}"
+print(string,"-", check(string)) 
+
+string = "[{}{})(]"
+print(string,"-", check(string)) 
diff --git a/balancedparenthesis.cpp b/balancedparenthesis.cpp
new file mode 100644
index 00000000..5a0af651
--- /dev/null
+++ b/balancedparenthesis.cpp
@@ -0,0 +1,72 @@
+// CPP program to check for balanced parenthesis. 
+#include<bits/stdc++.h> 
+using namespace std; 
+
+// function to check if paranthesis are balanced 
+bool areParanthesisBalanced(string expr) 
+{ 
+	stack<char> s; 
+	char x; 
+
+	// Traversing the Expression 
+	for (int i=0; i<expr.length(); i++) 
+	{ 
+		if (expr[i]=='('||expr[i]=='['||expr[i]=='{') 
+		{ 
+			// Push the element in the stack 
+			s.push(expr[i]); 
+			continue; 
+		} 
+
+		// IF current current character is not opening 
+		// bracket, then it must be closing. So stack 
+		// cannot be empty at this point. 
+		if (s.empty()) 
+		return false; 
+
+		switch (expr[i]) 
+		{ 
+		case ')': 
+
+			// Store the top element in a 
+			x = s.top(); 
+			s.pop(); 
+			if (x=='{' || x=='[') 
+				return false; 
+			break; 
+
+		case '}': 
+
+			// Store the top element in b 
+			x = s.top(); 
+			s.pop(); 
+			if (x=='(' || x=='[') 
+				return false; 
+			break; 
+
+		case ']': 
+
+			// Store the top element in c 
+			x = s.top(); 
+			s.pop(); 
+			if (x =='(' || x == '{') 
+				return false; 
+			break; 
+		} 
+	} 
+
+	// Check Empty Stack 
+	return (s.empty()); 
+} 
+
+// Driver program to test above function 
+int main() 
+{ 
+	string expr = "{()}[]"; 
+
+	if (areParanthesisBalanced(expr)) 
+		cout << "Balanced"; 
+	else
+		cout << "Not Balanced"; 
+	return 0; 
+} 
diff --git a/bfstraversal.cpp b/bfstraversal.cpp
new file mode 100644
index 00000000..6a62969c
--- /dev/null
+++ b/bfstraversal.cpp
@@ -0,0 +1,67 @@
+/*Given an undirected and connected graph G(V, E), print its BFS traversal.
+Here you need to consider that you need to print BFS path starting from vertex 0 only.
+V is the number of vertices present in graph G and vertices are numbered from 0 to V-1.
+E is the number of edges present in graph G.*/
+
+#include<iostream>
+#include<queue>
+using namespace std;
+
+
+int main()
+{
+    int V, E;
+    cin >> V >> E;
+
+    queue<int> q;
+
+    int** arr=new int*[V];
+    for(int i=0;i<V;i++)
+    {
+        arr[i]=new int[V];
+    }
+
+    for(int i=0;i<E;i++)
+    {
+        int v1,v2;
+        cin>>v1>>v2;
+        arr[v1][v2]=1;
+        arr[v2][v1]=1;
+    }
+
+    bool* visited=new bool[V];
+    for(int i=0;i<V;i++)
+    {
+        visited[i]=false;
+    }
+
+
+    q.push(0);
+
+
+     while(!q.empty())
+    {
+        int sv=q.front();
+        if(visited[sv]==false)
+        {
+            cout<<sv<<" ";
+            visited[sv]=true;
+
+
+
+            for(int i=0;i<V;i++)
+            {
+                if(arr[sv][i]==1)
+                {
+                    q.push(i);
+                }
+            }
+        }
+
+
+        q.pop();
+
+    }
+
+    return 0;
+}
diff --git a/boltAndNUt.java b/boltAndNUt.java
new file mode 100644
index 00000000..b94f6068
--- /dev/null
+++ b/boltAndNUt.java
@@ -0,0 +1,68 @@
+public class NutsAndBoltsMatch
+{
+    //Driver method
+    public static void main(String[] args)
+    {
+        // Nuts and bolts are represented as array of characters
+        char nuts[] = {'@', '#', '$', '%', '^', '&'};
+        char bolts[] = {'$', '%', '&', '^', '@', '#'};
+
+        // Method based on quick sort which matches nuts and bolts
+        matchPairs(nuts, bolts, 0, 5);
+
+        System.out.println("Matched nuts and bolts are : ");
+        printArray(nuts);
+        printArray(bolts);
+    }
+
+    // Method to print the array
+    private static void printArray(char[] arr) {
+        for (char ch : arr){
+            System.out.print(ch + " ");
+        }
+        System.out.print("n");
+    }
+
+    private static void matchPairs(char[] nuts, char[] bolts, int low, 
+                                                              int high)
+    {
+        if (low < high)
+        {
+            int pivot = partition(nuts, low, high, bolts[high]);
+
+
+            partition(bolts, low, high, nuts[pivot]);
+
+
+            matchPairs(nuts, bolts, low, pivot-1);
+            matchPairs(nuts, bolts, pivot+1, high);
+        }
+    }
+
+
+    private static int partition(char[] arr, int low, int high, char pivot)
+    {
+        int i = low;
+        char temp1, temp2;
+        for (int j = low; j < high; j++)
+        {
+            if (arr[j] < pivot){
+                temp1 = arr[i];
+                arr[i] = arr[j];
+                arr[j] = temp1;
+                i++;
+            } else if(arr[j] == pivot){
+                temp1 = arr[j];
+                arr[j] = arr[high];
+                arr[high] = temp1;
+                j--;
+            }
+        }
+        temp2 = arr[i];
+        arr[i] = arr[high];
+        arr[high] = temp2;
+
+
+        return i;
+    }
+}
diff --git a/bookclass.cpp b/bookclass.cpp
new file mode 100644
index 00000000..5fdf589a
--- /dev/null
+++ b/bookclass.cpp
@@ -0,0 +1,33 @@
+#include<iostream>
+using namespace std;
+class BOOKX {
+	private:
+		char book_name;
+		char book_author;
+		int book_price;
+		int book_edition;
+	public:
+		void input() {
+			cout<<"Book name:";
+			cin>>book_name;
+			cout<<endl;
+			cout<<"Book author:";
+			cin>>book_author;
+			cout<<endl;
+			cout<<"Book price:";
+			cin>>book_price;
+			cout<<endl;
+			cout<<"book edition:";
+			cin>>book_edition;
+			cout<<endl;
+		}
+		void output() {
+			cout<<"Book name"<<book_name<<"Author"<<book_author<<"price"<<book_price<<"edition"<<book_edition;
+		}
+};
+int main() {
+	BOOKX a;
+	a.input();
+	a.output();
+	return 0;
+}
diff --git a/boyer_moore.cpp b/boyer_moore.cpp
new file mode 100644
index 00000000..454bb7f6
--- /dev/null
+++ b/boyer_moore.cpp
@@ -0,0 +1,54 @@
+#include <bits/stdc++.h> 
+using namespace std; 
+# define NO_OF_CHARS 256  
+  
+void badCharHeuristic( string str, int size,  
+                        int badchar[NO_OF_CHARS])  
+{  
+    int i;  
+  
+    for (i = 0; i < NO_OF_CHARS; i++)  
+        badchar[i] = -1;  
+  
+    for (i = 0; i < size; i++)  
+        badchar[(int) str[i]] = i;  
+}  
+ 
+void search( string txt, string pat)  
+{  
+    int m = pat.size();  
+    int n = txt.size();  
+  
+    int badchar[NO_OF_CHARS];  
+  
+    badCharHeuristic(pat, m, badchar);  
+  
+    int s = 0; 
+    while(s <= (n - m))  
+    {  
+        int j = m - 1;  
+  
+        while(j >= 0 && pat[j] == txt[s + j])  
+            j--;  
+  
+        if (j < 0)  
+        {  
+            cout << "pattern occurs at shift = " <<  s << endl;  
+  
+            s += (s + m < n)? m-badchar[txt[s + m]] : 1;  
+  
+        }  
+  
+        else
+            s += max(1, j - badchar[txt[s + j]]);  
+    }  
+}  
+  
+/* main func*/
+int main()  
+{  
+    string txt= "ABAAABCD";  
+    string pat = "ABC";  
+    search(txt, pat);  
+    return 0;  
+}  
\ No newline at end of file
diff --git a/bucketsort.cpp b/bucketsort.cpp
new file mode 100644
index 00000000..b4d66cfd
--- /dev/null
+++ b/bucketsort.cpp
@@ -0,0 +1,69 @@
+#include <cstdio>
+#include <climits>
+
+#define INF INT_MAX
+
+#define ELEMENT_COUNT 100000
+#define ELEMENT_RANGE (1 << 17)
+#define GROUP_RANGE (1 << 2)
+
+using namespace std;
+
+int n, d[ELEMENT_COUNT];
+
+struct node
+{
+  int v, next;
+}A[ELEMENT_COUNT + 1];
+int head[ELEMENT_RANGE / GROUP_RANGE], cnt[ELEMENT_RANGE / GROUP_RANGE], vc = 1;
+
+void insert(int v)
+{
+  int group = v / GROUP_RANGE;
+  A[vc].next = head[group];
+  head[group] = vc;
+  A[vc].v = v;
+  cnt[group]++;
+  vc++;
+}
+
+void bucket_sort()
+{
+  for (int i = 0; i < n; i++)
+  {
+    insert(d[i]);
+  }
+  int ptr = 0;
+  for (int i = 0; i < ELEMENT_RANGE / GROUP_RANGE; i++)
+  {
+    for (int j = 0; j < cnt[i]; j++)
+    {
+      int minv = INF, ord;
+      for (int cur = head[i]; cur != 0; cur = A[cur].next)
+      {
+        if (A[cur].v < minv)
+        {
+          minv = A[cur].v;
+          ord = cur;
+        }
+      }
+      d[ptr++] = minv;
+      A[ord].v = INF;
+    }
+  }
+}
+
+int main()
+{
+  scanf("%d", &n);
+  for (int i = 0; i < n; i++)
+  {
+    scanf("%d", &d[i]);
+  }
+  bucket_sort();
+  for (int i = 0; i < n; i++)
+  {
+    printf("%d ", d[i]);
+  }
+  return 0;
+}
diff --git a/c#/sorting c#/bubble sort in c#.txt b/c#/sorting c#/bubble sort in c#.txt
new file mode 100644
index 00000000..50155c3b
--- /dev/null
+++ b/c#/sorting c#/bubble sort in c#.txt	
@@ -0,0 +1,85 @@
+using System;
+
+namespace bubble_sort
+
+{
+
+    class Program
+
+    {
+
+        static void Main(string[] args)
+
+        {
+
+            Program p = new Program();
+
+            int[] arr = new int[50]; // declaring array to store elements
+
+            int n;
+
+            Console.WriteLine("Enter no of elements you want to store in an array");
+
+            n = Convert.ToInt32(Console.ReadLine()); // taking input from user
+
+            Console.WriteLine("Enter elements in an array");
+
+            for (int i = 1; i <= n; i++)
+
+            {
+
+                arr[i] = Convert.ToInt32(Console.ReadLine());
+
+            }
+
+            p.bubblesort(arr, n);
+
+            Console.ReadKey();
+
+        }
+
+        public void bubblesort(int[] arr, int n)
+
+        {
+
+            int temp;
+
+            for (int i = 1; i <= n; i++)
+
+            {
+
+                for (int j = 1; j <= n - i; j++)
+
+                {
+
+                    if (arr[j] > arr[j + 1])
+
+                    {
+
+                        temp = arr[j];
+
+                        arr[j] = arr[j + 1];
+
+                        arr[j + 1] = temp;
+
+                    }
+
+                }
+
+            }
+
+            Console.WriteLine("Array after sorting");
+
+            for (int i = 1; i <= n; i++)
+
+            {
+
+                Console.WriteLine(arr[i]);
+
+            }
+
+        }
+
+    }
+
+}
\ No newline at end of file
diff --git a/c#/sorting c#/heap sort.txt b/c#/sorting c#/heap sort.txt
new file mode 100644
index 00000000..abf394bd
--- /dev/null
+++ b/c#/sorting c#/heap sort.txt	
@@ -0,0 +1,61 @@
+using System;
+class heapsort
+{
+    int[] r = { 2,5,1,10,6,9,3,7,4,8};
+    public void hsort()
+    {
+        int i, t;
+        for (i = 5; i >= 0; i--)
+        {
+            adjust(i, 9);
+        }
+        for (i = 8; i >= 0; i--)
+        {
+            t = r[i + 1];
+            r[i + 1] = r[0];
+            r[0] = t;
+            adjust(0, i);
+        }
+    }
+    private void adjust(int i, int n)
+    {
+        int t, j;
+        try
+        {
+            t = r[i];
+            j = 2 * i;
+            while (j <= n)
+            {
+                if (j < n && r[j] < r[j + 1])
+                    j++;
+                if (t >=r[j])
+                    break;
+                r[j / 2] = r[j];
+                j *= 2;
+            }
+            r[j / 2] = t;
+        }
+        catch (IndexOutOfRangeException e)
+        {
+            Console.WriteLine("Array Out of Bounds ", e);
+        }
+    }
+    public void print()
+    {
+        for (int i = 0; i < 10; i++)
+        {
+            Console.WriteLine("{0}", r[i]);
+        }
+ 
+    }
+    public static void Main()
+    {
+        heap obj = new heap();
+        Console.WriteLine("Elements Before sorting : ");
+        obj.print();
+        obj.hsort();
+        Console.WriteLine("Elements After sorting : ");
+        obj.print();
+        Console.Read();
+    }
+}
\ No newline at end of file
diff --git a/c#/sorting c#/merge sort in c#.txt b/c#/sorting c#/merge sort in c#.txt
new file mode 100644
index 00000000..3eea4262
--- /dev/null
+++ b/c#/sorting c#/merge sort in c#.txt	
@@ -0,0 +1,74 @@
+using System;  
+using System.Collections.Generic;  
+using System.Linq;  
+using System.Text;   
+  
+namespace MergeSort    
+{    
+    class MergeSort    
+    {    
+        static public void MainMerge(int[] numbers, int left, int mid, int right)    
+        {    
+            int[] temp = new int[25];    
+            int i, eol, num, pos;    
+            eol = (mid - 1);    
+            pos = left;   
+            num = (right - left + 1);     
+  
+            while ((left <= eol) && (mid <= right))    
+            {    
+                if (numbers[left] <= numbers[mid])    
+                    temp[pos++] = numbers[left++];    
+                else    
+                    temp[pos++] = numbers[mid++];    
+            }    
+            while (left <= eol)    
+                temp[pos++] = numbers[left++];    
+            while (mid <= right)    
+                temp[pos++] = numbers[mid++];   
+            for (i = 0; i < num; i++)    
+            {    
+                numbers[right] = temp[right];    
+                right--;    
+            }    
+        }   
+  
+        static public void SortMerge(int[] numbers, int left, int right)    
+        {    
+            int mid;    
+            if (right > left)    
+            {    
+                mid = (right + left) / 2;    
+                SortMerge(numbers, left, mid);    
+                SortMerge(numbers, (mid + 1), right);    
+                MainMerge(numbers, left, (mid + 1), right);    
+            }    
+        }     
+  
+        static void Main(string[] args)    
+        {    
+  
+            Console.Write("\nProgram for sorting a numeric array using Merge Sorting");    
+            Console.Write("\n\nEnter number of elements: ");    
+            int max = Convert.ToInt32(Console.ReadLine());    
+            int[] numbers = new int[max];    
+            for (int i = 0; i < max; i++)    
+            {    
+                Console.Write("\nEnter [" + (i + 1).ToString() + "] element: ");    
+                numbers[i] = Convert.ToInt32(Console.ReadLine());    
+            }    
+            Console.Write("Input int array : ");    
+            Console.Write("\n");    
+            for (int k = 0; k < max; k++)    
+            {    
+                Console.Write(numbers[k] + " ");    
+                Console.Write("\n");    
+            }    
+            Console.WriteLine("MergeSort By Recursive Method");    
+            SortMerge(numbers, 0, max - 1);    
+            for (int i = 0; i < max; i++)    
+                Console.WriteLine(numbers[i]);    
+            Console.ReadLine();    
+        }    
+    }    
+}
\ No newline at end of file
diff --git a/c#/sorting c#/quick sort in c#.txt b/c#/sorting c#/quick sort in c#.txt
new file mode 100644
index 00000000..f32c4d06
--- /dev/null
+++ b/c#/sorting c#/quick sort in c#.txt	
@@ -0,0 +1,155 @@
+using System;
+
+using System.Collections.Generic;
+
+using System.Linq;
+
+using System.Text;
+
+ 
+
+namespace QuickSort
+
+{
+
+    class QuickSort
+
+    {
+
+        static public int Partition(int[] numbers, int left, int right)
+
+        {
+
+            int pivot = numbers[left];
+
+            while (true)
+
+            {
+
+                while (numbers[left] < pivot)
+
+                    left++;
+
+ 
+
+                while (numbers[right] > pivot)
+
+                    right--;
+
+ 
+
+                if (left < right)
+
+                {
+
+                    int temp = numbers[right];
+
+                    numbers[right] = numbers[left];
+
+                    numbers[left] = temp;
+
+                }
+
+                else
+
+                {
+
+                    return right;
+
+                }
+
+            }
+
+        }
+
+ 
+
+        static public void SortQuick(int[] arr, int left, int right)
+
+        {
+
+            // For Recusrion  
+
+            if (left < right)
+
+            {
+
+                int pivot = Partition(arr, left, right);
+
+ 
+
+                if (pivot > 1)
+
+                    SortQuick(arr, left, pivot - 1);
+
+ 
+
+                if (pivot + 1 < right)
+
+                    SortQuick(arr, pivot + 1, right);
+
+            }
+
+        }
+
+ 
+
+        static void Main(string[] args)
+
+        {
+
+            Console.Write("\nProgram for sorting a numeric array using Quick Sorting");
+
+            Console.Write("\n\nEnter number of elements: ");
+
+            int max = Convert.ToInt32(Console.ReadLine());
+
+ 
+
+            int[] numbers = new int[max];
+
+ 
+
+            for (int i = 0; i < max; i++)
+
+            {
+
+                Console.Write("\nEnter [" + (i + 1).ToString() + "] element: ");
+
+                numbers[i] = Convert.ToInt32(Console.ReadLine());
+
+            }
+
+ 
+
+            Console.Write("Input int array  : ");
+
+            Console.Write("\n");
+
+            for (int k = 0; k < max; k++)
+
+            {
+
+                Console.Write(numbers[k] + " ");
+
+                Console.Write("\n");
+
+            }
+
+ 
+
+            Console.WriteLine("QuickSort By Recursive Method");
+
+            SortQuick(numbers, 0, max - 1);
+
+            for (int i = 0; i < max; i++)
+
+                Console.WriteLine(numbers[i]);
+
+            Console.ReadLine();
+
+        }
+
+    }
+
+}
\ No newline at end of file
diff --git a/c#/sorting c#/selection sort.txt b/c#/sorting c#/selection sort.txt
new file mode 100644
index 00000000..fb975fe1
--- /dev/null
+++ b/c#/sorting c#/selection sort.txt	
@@ -0,0 +1,39 @@
+using System;
+class Program
+{
+    static void Main(string[] args)
+    {
+        int array_size = 10;
+        int[] array = new int[10] { 100, 50, 20, 40, 10, 60, 80, 70, 90, 30 };
+        Console.WriteLine("The Array Before Selection Sort is: ");
+        for (int i = 0; i &lt; array_size; i++)
+        {
+            Console.WriteLine(array[i]);
+        }
+        int tmp, min_key;
+ 
+        for (int j = 0; j < array_size - 1; j++)
+        {
+            min_key = j;
+ 
+            for (int k = j + 1; k < array_size; k++)
+            {
+                if (array[k] < array[min_key])
+                {
+                    min_key = k;
+                }
+            }
+ 
+            tmp = array[min_key];
+            array[min_key] = array[j];
+            array[j] = tmp;
+        }
+ 
+        Console.WriteLine("The Array After Selection Sort is: ");
+        for (int i = 0; i < 10; i++)
+        {
+            Console.WriteLine(array[i]);
+        }
+        Console.ReadLine();
+    }
+}
\ No newline at end of file
diff --git a/catalan.cpp b/catalan.cpp
new file mode 100644
index 00000000..13bb3b57
--- /dev/null
+++ b/catalan.cpp
@@ -0,0 +1,26 @@
+
+#include<iostream> 
+using namespace std; 
+  
+// A recursive function to find nth catalan number 
+unsigned long int catalan(unsigned int n) 
+{ 
+    // Base case 
+    if (n <= 1) return 1; 
+  
+    // catalan(n) is sum of catalan(i)*catalan(n-i-1) 
+    unsigned long int res = 0; 
+    for (int i=0; i<n; i++) 
+        res += catalan(i)*catalan(n-i-1); 
+  
+    return res; 
+} 
+  
+// Driver program to test above function 
+int main() 
+{ 
+    for (int i=0; i<10; i++) 
+        cout << catalan(i) << " "; 
+    return 0; 
+} 
+  
\ No newline at end of file
diff --git a/cocltail_selsction_sort.cpp b/cocltail_selsction_sort.cpp
new file mode 100644
index 00000000..75e15f34
--- /dev/null
+++ b/cocltail_selsction_sort.cpp
@@ -0,0 +1,120 @@
+//Returns Sorted elements after performing Cocktail Selection Sort
+//It is a Sorting algorithm which chooses the minimum and maximum element in an array simultaneously, 
+//and swaps it with the lowest and highest available position iteratively or recursively
+
+
+#include<iostream>
+using namespace std;
+
+//Iterative Version
+
+void CocktailSelectionSort(vector <int> &vec,int low,int high)
+{
+  while(low<=high)
+  {
+  int minimum=vec[low];
+  int minimumindex=low;
+  int maximum=vec[high];
+  int maximumindex=high;
+
+  for(int i=low;i<=high;i++)
+  {
+    if(vec[i]>=maximum)
+    {
+      maximum=vec[i];
+      maximumindex=i;
+    }
+    if(vec[i]<=minimum)
+    {
+      minimum=vec[i];
+      minimumindex=i;
+    }
+  }
+  if(low!=maximumindex||high!=minimumindex)
+  {
+  swap(vec[low],vec[minimumindex]);
+  swap(vec[high],vec[maximumindex]);
+  }
+  else
+  {
+    swap(vec[low],vec[high]);
+  }
+ 
+  low++;
+  high--;
+}
+    
+}
+
+
+//Recursive Version
+
+void CocktailSelectionSort(vector <int> &vec,int low,int high)
+{
+  
+  if(low>=high)
+    return;
+  
+  int minimum=vec[low];
+  int minimumindex=low;
+  int maximum=vec[high];
+  int maximumindex=high;
+
+  for(int i=low;i<=high;i++)
+  {
+    if(vec[i]>=maximum)
+    {
+      maximum=vec[i];
+      maximumindex=i;
+    }
+    if(vec[i]<=minimum)
+    {
+      minimum=vec[i];
+      minimumindex=i;
+    }
+  }
+  if(low!=maximumindex||high!=minimumindex)
+  {
+  swap(vec[low],vec[minimumindex]);
+  swap(vec[high],vec[maximumindex]);
+  }
+  else
+  {
+    swap(vec[low],vec[high]);
+  }
+  
+  CocktailSelectionSort(vec,low+1,high-1);
+
+    
+}
+
+
+//main function, select any one of iterative or recursive version
+
+int main()
+{
+
+    int n;
+    cout << "Enter number of elements\n";
+    cin >> n;
+    std::vector<int> v(n);
+    cout << "Enter all the elements\n";
+    for (int i = 0; i < n; ++i)
+    {
+      cin >> v[i];
+    }
+
+    CocktailSelectionSort(v,0,n-1);
+    cout << "Sorted elements are\n";
+    for (int i = 0; i < n; ++i)
+    {
+        cout << v[i] << " ";
+    }
+
+  
+  return 0;
+}
+
+
+
+
diff --git a/code b/code
index f0c1700e..8d8b255a 100644
--- a/code
+++ b/code
@@ -1,40 +1,40 @@
-#include<iostream>
-#include<vector>
-#include<algorithm>
-using namespace std;
-void display(float *array, int size) {
-   for(int i = 0; i<size; i++)
-      cout << array[i] << " ";
-   cout << endl;
-}
-void bucketSort(float *array, int size) {
-   vector<float> bucket[size];
-   for(int i = 0; i<size; i++)  {          //put elements into different buckets
-      bucket[int(size*array[i])].push_back(array[i]);
-   }
-   for(int i = 0; i<size; i++) {
-      sort(bucket[i].begin(), bucket[i].end());       //sort individual vectors
-   }
-   int index = 0;
-   for(int i = 0; i<size; i++) {
-      while(!bucket[i].empty()) {
-         array[index++] = *(bucket[i].begin());
-         bucket[i].erase(bucket[i].begin());
-      }
-   }
-}
-int main() {
-   int n;
-   cout << "Enter the number of elements: ";
-   cin >> n;
-   float arr[n];     //create an array with given number of elements
-   cout << "Enter elements:" << endl;
-   for(int i = 0; i<n; i++) {
-      cin >> arr[i];
-   }
-   cout << "Array before Sorting: ";
-   display(arr, n);
-   bucketSort(arr, n);
-   cout << "Array after Sorting: ";
-   display(arr, n);
-}
+#include<iostream>
+#include<vector>
+#include<algorithm>
+using namespace std;
+void display(float *array, int size) {
+   for(int i = 0; i<size; i++)
+      cout << array[i] << " ";
+   cout << endl;
+}
+void bucketSort(float *array, int size) {
+   vector<float> bucket[size];
+   for(int i = 0; i<size; i++)  {          //put elements into different buckets
+      bucket[int(size*array[i])].push_back(array[i]);
+   }
+   for(int i = 0; i<size; i++) {
+      sort(bucket[i].begin(), bucket[i].end());       //sort individual vectors
+   }
+   int index = 0;
+   for(int i = 0; i<size; i++) {
+      while(!bucket[i].empty()) {
+         array[index++] = *(bucket[i].begin());
+         bucket[i].erase(bucket[i].begin());
+      }
+   }
+}
+int main() {
+   int n;
+   cout << "Enter the number of elements: ";
+   cin >> n;
+   float arr[n];     //create an array with given number of elements
+   cout << "Enter elements:" << endl;
+   for(int i = 0; i<n; i++) {
+      cin >> arr[i];
+   }
+   cout << "Array before Sorting: ";
+   display(arr, n);
+   bucketSort(arr, n);
+   cout << "Array after Sorting: ";
+   display(arr, n);
+}
diff --git a/dfs.cpp b/dfs.cpp
new file mode 100644
index 00000000..fe5c86d8
--- /dev/null
+++ b/dfs.cpp
@@ -0,0 +1,140 @@
+#include <iostream>
+#include <limits.h>
+using namespace std;
+#define black 0
+#define grey 1
+#define white 2
+struct adjlistnode
+{
+	int data;
+	struct adjlistnode *next;
+};
+struct adjlist
+{
+	struct adjlistnode *head;
+};
+struct graph
+{
+	int vertices;
+	struct adjlist* array;
+	int *color;
+};
+struct adjlistnode* c_node(int v)
+{
+	struct adjlistnode* node=new struct adjlistnode;
+	node->data=v;
+	node->next=NULL;
+	return node;
+}
+struct graph* creategraph(int numv)
+{
+	struct graph* g= new graph;
+	g->vertices=numv;
+	g->array=new struct adjlist[(numv)*sizeof(adjlist)];
+	g->color=new int[numv*sizeof(int)];
+	for(int i=0;i<numv;i++)
+	{
+		g->array[i].head=NULL;
+		g->color[i]=white;
+	}
+	return g;
+}
+void addedge(struct graph* g,int v1,int v2)
+{
+	 struct adjlistnode* temp=c_node(v1);
+	 temp->next=g->array[v2].head;
+	 g->array[v2].head=temp;
+	 temp=c_node(v2);
+	 temp->next=g->array[v1].head;
+	 g->array[v1].head=temp;
+}
+void print(struct graph* g,int v)
+{
+	int i;
+	for(i=1;i<=v;i++)
+	{
+		struct adjlistnode *q=(struct adjlistnode*)malloc(sizeof(struct adjlistnode));
+		q=g->array[i].head;
+		cout<<"for node"<<i<<endl;
+		while(q)
+		{
+			cout<<q->data;
+			q=q->next;
+		}
+		cout<<endl;
+	}
+}
+struct stack
+{
+	int top;
+	int len;
+	int *array;
+};
+struct stack* createstack(int numv)
+{
+	struct stack* s=new struct stack;
+	s->top=-1;
+	s->len=numv;
+	s->array = new int[numv*sizeof(int)]; 
+	return s;
+}
+int isEmpty(struct stack* stack) //checks if the stack is empty
+{ 
+    return stack->top == -1; 
+} 
+int pop(struct stack* stack) //pops and removes the top element
+{ 
+    if (isEmpty(stack)) 
+        return INT_MIN; 
+    return stack->array[stack->top--]; 
+} 
+int peek(struct stack* stack) /* fucntion returns the top without removing it*/
+{ 
+    if (isEmpty(stack)) 
+        return INT_MIN; 
+    return stack->array[stack->top]; 
+} 
+void push(struct stack* stack, int item) // pushes the item at the top
+{ 
+    stack->array[++stack->top] = item; 
+} 
+void dfs(struct graph* g,int startvertex,struct stack* s)
+{
+	push(s,startvertex);
+	g->color[startvertex]=grey;
+	while(!isEmpty(s))
+	{
+		int u=peek(s);
+		struct adjlistnode* v=g->array[u].head;
+		while(v)
+		{
+			if(g->color[v->data]==white)
+				dfs(g,v->data,s);
+			else if(g->color[v->data]==grey && v->data!=u)
+			{
+				pop(s);
+				g->color[u]=black;
+				cout<<"cycle detected"<<endl;
+				return;
+			}
+			v=v->next;
+		}
+		pop(s);
+	}
+}
+int main()
+{
+	struct graph* graph = creategraph(7);
+	struct stack* s=createstack(7);
+    addedge(graph, 1, 2);
+    addedge(graph, 1, 5);
+    addedge(graph, 2, 3);
+    addedge(graph, 2, 6);
+    addedge(graph, 3, 7);
+    addedge(graph, 3, 4);
+    addedge(graph, 5, 6);
+    addedge(graph, 6, 7);
+    print(graph,7);
+ 	dfs(graph, 1,s);
+
+}
\ No newline at end of file
diff --git a/diamondpattern.cpp b/diamondpattern.cpp
new file mode 100644
index 00000000..a6efd934
--- /dev/null
+++ b/diamondpattern.cpp
@@ -0,0 +1,53 @@
+/*PROGRAM TO PRINT PATTERN
+        1
+      2 3 2
+    3 4 5 4 3
+      2 3 2
+        1
+ FOR N=5 AND SO ON */
+
+
+#include<iostream>
+using namespace std;
+int main()
+{
+    int n,row,col,k,j;
+    cin>>n;
+    row=1,k=1,j=1;
+    while(row<=n)
+    {
+        col=1;
+        while(col<=n)
+        {
+            if(col<=n/2+1-k || col>=n/2+1+k)
+                cout<<" ";
+            else
+              {
+                  cout<<j;
+
+                  if(col<n/2+1)
+                    j=j+1;
+
+                  else
+                    j=j-1;
+              }
+
+            col=col+1;
+
+            }
+            cout<<endl;
+            row=row+1;
+            if(row<=n/2+1)
+            {
+                k=row;
+                j=row;
+            }
+            else
+             {
+                 k=n+1-row;
+                j=n+1-row;
+             }
+    }
+
+    return 0;
+}
diff --git a/doubly link/rotate_doublylinkedlist.cpp b/doubly link/rotate_doublylinkedlist.cpp
new file mode 100644
index 00000000..6579bf92
--- /dev/null
+++ b/doubly link/rotate_doublylinkedlist.cpp	
@@ -0,0 +1,68 @@
+#include<bits/stdc++.h>
+using namespace std;
+
+struct node
+{
+  int data;
+  struct node*next,*prev;
+};
+
+struct node* update(struct node*start,int p);
+
+int main()
+{
+
+        int n,p; // n is the number of nodes in the linked list , p is the number of nodes to be rotated starting from the head of linked list 
+        cin>>n>>p;
+        struct node*start=NULL,*cur=NULL,*ptr=NULL;
+        for(int i=0;i<n;i++)
+        {
+            int a;
+            cin>>a;
+            ptr=new(struct node);
+            ptr->data=a;
+            ptr->next=NULL;
+            ptr->prev=NULL;
+            if(start==NULL)
+            {
+                start=ptr;
+                cur=ptr;
+            }
+            else
+            {
+                cur->next=ptr;
+                ptr->prev=cur;
+                cur=ptr;
+            }
+        }
+        struct node*str=update(start,p);
+        while(str!=NULL)
+        {
+            cout<<str->data<<" ";
+            str=str->next;
+        }
+        cout<<endl ;
+}
+
+struct node*update(struct node*start,int p)
+{
+    node* temp = start ;
+    
+    while(temp->next!=NULL)
+    {
+        temp = temp->next ;
+    }
+    node* s= start ;
+    for(int i=0;i<p;i++)
+    {
+        node* t = s ;
+       s = s->next ;
+       temp->next = t ;
+       t->prev = temp ; 
+       temp=temp->next ;
+       t->next = NULL ;
+    }
+    return s ;
+}
+
+
diff --git a/doubly linkedList.cpp b/doubly linkedList.cpp
new file mode 100644
index 00000000..45519df6
--- /dev/null
+++ b/doubly linkedList.cpp	
@@ -0,0 +1,43 @@
+#include <iostream>
+using namespace std;
+
+// creating struct Node
+
+struct Node { 
+   int data; 
+   struct Node *prev; 
+   struct Node *next; 
+}; 
+struct Node* head = NULL; 
+
+//Inserting new node
+
+void insert(int newdata) { 
+   struct Node* newnode = (struct Node*) malloc(sizeof(struct Node)); 
+   newnode->data  = newdata; 
+   newnode->prev = NULL; 
+   newnode->next = head;     
+   if(head !=  NULL) 
+      head->prev = newnode ;     
+   head = newnode; 
+}   
+//display linked list
+
+void display() { 
+   struct Node* ptr;
+   ptr = head;  
+   while(ptr != NULL) { 
+      cout<< ptr->data <<" "; 
+      ptr = ptr->next; 
+  } 
+} 
+int main() { 
+   insert(3);
+   insert(1);
+   insert(7);
+   insert(2);
+   insert(9);
+   cout<<"The doubly linked list is: ";
+   display(); 
+   return 0; 
+} 
diff --git a/duplicate_remove.cpp b/duplicate_remove.cpp
new file mode 100644
index 00000000..44f0e09f
--- /dev/null
+++ b/duplicate_remove.cpp
@@ -0,0 +1,38 @@
+#include<stdio.h>
+#include<conio.h>
+int main()
+{
+	int arr[10], i, j, k, Size;
+	
+	printf("\n Enter size of array :");
+	scanf("%d",&Size);
+	
+	printf("\n Enter array elements:");
+	for (i = 0; i<Size; i++)
+	{
+    	scanf("%d", &arr[i]);
+   	}     
+	for (i = 0; i<Size; i++)
+	{
+	for(j = i + 1; j < Size; j++)
+	{
+    	if(arr[i] == arr[j])
+    	{
+    	for(k = j; k < Size; k++)
+    	{
+    	arr[k] = arr[k + 1];
+	}
+	Size--;
+	j--;
+   }	}
+}
+ 	printf("\n Final Array:\n");
+ 	for (i=0;i<Size;i++)
+  	{
+ 		printf("%d\t", arr[i]);
+  	}	     
+getch();
+
+ 	return 0;
+}
+
diff --git a/egg_dropping.cpp b/egg_dropping.cpp
new file mode 100644
index 00000000..ff386dda
--- /dev/null
+++ b/egg_dropping.cpp
@@ -0,0 +1,39 @@
+#include<bits/stdc++.h> 
+using namespace std; 
+  
+ 
+int max(int a, int b) { return (a > b)? a: b; } 
+  
+
+int eggDrop(int n, int k) 
+{ 
+    
+    if (k == 1 || k == 0) 
+        return k; 
+  
+    
+    if (n == 1) 
+        return k; 
+  
+    int min = INT_MAX, x, res; 
+  
+    
+    for (x = 1; x <= k; x++) 
+    { 
+        res = max(eggDrop(n-1, x-1), eggDrop(n, k-x)); 
+        if (res < min) 
+            min = res; 
+    } 
+  
+    return min + 1; 
+} 
+  
+
+int main() 
+{ 
+    int n = 2, k = 10; 
+    cout << "Minimum number of trials in worst case with "
+         << n << " eggs and " << k << " floors is " 
+         << eggDrop(n, k) << endl; 
+    return 0; 
+} 
diff --git a/euler-totient-in_python.py b/euler-totient-in_python.py
new file mode 100644
index 00000000..81b2b757
--- /dev/null
+++ b/euler-totient-in_python.py
@@ -0,0 +1,29 @@
+# A simple Python3 program 
+# to calculate Euler's 
+# Totient Function 
+
+# Function to return 
+# gcd of a and b 
+def gcd(a, b): 
+
+	if (a == 0): 
+		return b 
+	return gcd(b % a, a) 
+
+# A simple method to evaluate 
+# Euler Totient Function 
+def phi(n): 
+
+	result = 1
+	for i in range(2, n): 
+		if (gcd(i, n) == 1): 
+			result+=1
+	return result 
+
+# Driver Code 
+for n in range(1, 11): 
+	print("phi(",n,") = ", 
+		phi(n), sep = "") 
+			
+# This code is contributed 
+# by Smitha 
diff --git a/euler-totient.c b/euler-totient.c
new file mode 100644
index 00000000..876aeab0
--- /dev/null
+++ b/euler-totient.c
@@ -0,0 +1,29 @@
+// A simple C program to calculate Euler's Totient Function 
+#include <stdio.h> 
+
+// Function to return gcd of a and b 
+int gcd(int a, int b) 
+{ 
+	if (a == 0) 
+		return b; 
+	return gcd(b % a, a); 
+} 
+
+// A simple method to evaluate Euler Totient Function 
+int phi(unsigned int n) 
+{ 
+	unsigned int result = 1; 
+	for (int i = 2; i < n; i++) 
+		if (gcd(i, n) == 1) 
+			result++; 
+	return result; 
+} 
+
+// Driver program to test above function 
+int main() 
+{ 
+	int n; 
+	for (n = 1; n <= 10; n++) 
+		printf("phi(%d) = %d\n", n, phi(n)); 
+	return 0; 
+} 
diff --git a/euler-totient_better_complexity.cpp b/euler-totient_better_complexity.cpp
new file mode 100644
index 00000000..e1bd9b97
--- /dev/null
+++ b/euler-totient_better_complexity.cpp
@@ -0,0 +1,84 @@
+#include<bits/stdc++.h>
+#include <iostream>
+using namespace std;
+
+#define fastIO ios_base::sync_with_stdio(false);cin.tie(NULL)
+#define pb push_back
+#define mp make_pair
+#define ll long long int
+#define ull unsigned long long int
+#define mod 1000000007
+
+//to calculate prime numbers which are stored in prime vector
+int sieve[1000000];
+vector<int> prime;
+void init()
+{
+	for(int i=0;i<1000000;i++)
+	{
+		sieve[i]=0;
+	}
+	
+}
+void getprime()
+{
+	int i,j;
+	for(i=2;i*i<1000000;i++)
+	{
+		if(!sieve[i])
+		{
+			for(j=i*i;j<1000000;j=j+i)
+			{
+				sieve[j]=1;
+			}
+		}
+	}
+	
+	for(i=2;i<1000000;i++)
+	{
+		if(!sieve[i])
+			prime.push_back(i);
+	}
+	//cout<<prime.size();
+}
+
+
+// totient function
+int totientfunc(int n)
+{
+	int i;
+	int ans=n;
+	for(i=0;prime[i]*prime[i]<=n && i<prime.size();i++)
+	{
+		if(n%prime[i]==0)
+		{
+			ans=ans*(1-1.0/prime[i]);
+			while(n%prime[i]==0)
+			{
+				n=n/prime[i];
+			}
+		}
+	}
+	if(n>1)
+	{
+		ans=ans*(1-1.0/n);
+	}
+	return ans;
+}
+
+
+// driver code to run the euler totient function and get the prime numbers
+int main() {
+	fastIO;
+	
+    init();
+    getprime();
+	int n,i,j;
+	int t,q;
+    for(i=1;i<=10;i++)
+    {
+    	cout<<totientfunc(i)<<endl;
+    }
+
+	return 0;
+}
diff --git a/exchangingmoney.cpp b/exchangingmoney.cpp
new file mode 100644
index 00000000..634e6ed1
--- /dev/null
+++ b/exchangingmoney.cpp
@@ -0,0 +1,57 @@
+//hackerearth problem picked from noveasy19
+//Problem url:https://www.hackerearth.com/problem/algorithm/money-exchange-48c4a575/
+
+/*question:There are n types of money denomination in your country having values a1,a2,..an .
+You went to a shop to buy a product worth p units,
+predict whether is it possible to complete the purchase or not 
+(You and the shopkeeper can choose notes of each denomination any number of times).
+You need to process Q queries for this. 
+Print "YES" if it is possible to complete the purchase,
+else print "NO".*/
+
+//Program
+#include<bits/stdc++.h>
+
+using naemespace std;
+
+#define llt long long int
+int main()
+{
+    llt t n,q;
+    cin>>n>>q;
+    //long long int type
+    llt a[n],g=0;
+    for(llt i=0;i<n;i++)
+    {
+        cin>>a[i];
+        //__gcd is inbuild funtion in cpp to calculate gcd of two numbers
+        g=__gcd(a[i],g);
+    }
+    
+    //q number of query
+    
+    while(q--)
+    {
+     llt p;
+     cin>>p;
+     if(__gcd(g,p)==g)
+        cout<<"YES"<<endl;
+    else
+        cout<<"NO"<<endl;
+    }
+
+}
+
+/*
+Input:
+2 2
+6 9
+3
+4
+Output:
+YES
+NO
+
+Note:For the first query p=3 , you give a note of 9 to the salesman and he returns 6  to you,
+hence the purchase completed successfully.
+*/
diff --git a/fact-og-large-number.cpp b/fact-og-large-number.cpp
new file mode 100644
index 00000000..d05dee48
--- /dev/null
+++ b/fact-og-large-number.cpp
@@ -0,0 +1,48 @@
+#include<iostream> 
+using namespace std; 
+  
+#define MAX 500 
+  
+int multiply(int x, int res[], int res_size); 
+  
+void factorial(int n) 
+{ 
+    int res[MAX]; 
+  
+    res[0] = 1; 
+    int res_size = 1; 
+  
+     for (int x=2; x<=n; x++) 
+        res_size = multiply(x, res, res_size); 
+  
+    cout << "Factorial of given number is \n"; 
+    for (int i=res_size-1; i>=0; i--) 
+        cout << res[i]; 
+} 
+ int multiply(int x, int res[], int res_size) 
+{ 
+    int carry = 0;  // Initialize carry 
+  
+    for (int i=0; i<res_size; i++) 
+    { 
+        int prod = res[i] * x + carry; 
+        res[i] = prod % 10;   
+  
+        carry  = prod/10;     
+    } 
+  
+    while (carry) 
+    { 
+        res[res_size] = carry%10; 
+        carry = carry/10; 
+        res_size++; 
+    } 
+    return res_size; 
+} 
+  
+int main() 
+{ int n;
+cin>>n;
+factorial(n); 
+    return 0; 
+} 
diff --git a/fibonanci C b/fibonanci C
index d793b0b7..dca0f3f5 100644
--- a/fibonanci C	
+++ b/fibonanci C	
@@ -1,19 +1,19 @@
-#include <stdio.h>
-int main()
-{
-    int t1 = 0, t2 = 1, nextTerm = 0, n;
-    printf("Enter a positive number: ");
-    scanf("%d", &n);
-    // displays the first two terms which is always 0 and 1
-    printf("Fibonacci Series: %d, %d, ", t1, t2);
-    nextTerm = t1 + t2;
-    while(nextTerm <= n)
-    {
-        printf("%d, ",nextTerm);
-        t1 = t2;
-        t2 = nextTerm;
-        nextTerm = t1 + t2;
-    }
-    
-    return 0;
-}
+#include <stdio.h>
+int main()
+{
+    int t1 = 0, t2 = 1, nextTerm = 0, n;
+    printf("Enter a positive number: ");
+    scanf("%d", &n);
+    // displays the first two terms which is always 0 and 1
+    printf("Fibonacci Series: %d, %d, ", t1, t2);
+    nextTerm = t1 + t2;
+    while(nextTerm <= n)
+    {
+        printf("%d, ",nextTerm);
+        t1 = t2;
+        t2 = nextTerm;
+        nextTerm = t1 + t2;
+    }
+    
+    return 0;
+}
diff --git a/fibonanci code c b/fibonanci code c
index 81946e1f..5dee7c3b 100644
--- a/fibonanci code c	
+++ b/fibonanci code c	
@@ -1,16 +1,16 @@
-#include <stdio.h>
-int main()
-{
-    int i, n, t1 = 0, t2 = 1, nextTerm;
-    printf("Enter the number of terms: ");
-    scanf("%d", &n);
-    printf("Fibonacci Series: ");
-    for (i = 1; i <= n; ++i)
-    {
-        printf("%d, ", t1);
-        nextTerm = t1 + t2;
-        t1 = t2;
-        t2 = nextTerm;
-    }
-    return 0;
-}
+#include <stdio.h>
+int main()
+{
+    int i, n, t1 = 0, t2 = 1, nextTerm;
+    printf("Enter the number of terms: ");
+    scanf("%d", &n);
+    printf("Fibonacci Series: ");
+    for (i = 1; i <= n; ++i)
+    {
+        printf("%d, ", t1);
+        nextTerm = t1 + t2;
+        t1 = t2;
+        t2 = nextTerm;
+    }
+    return 0;
+}
diff --git a/finding cycle in linked list/cycle.py b/finding cycle in linked list/cycle.py
new file mode 100644
index 00000000..4f1e9db6
--- /dev/null
+++ b/finding cycle in linked list/cycle.py	
@@ -0,0 +1,48 @@
+class Node: 
+  
+    # Constructor to initialize the node object 
+    def __init__(self, data): 
+        self.data = data 
+        self.next = None
+  
+class LinkedList: 
+  
+    # Function to initialize head 
+    def __init__(self): 
+        self.head = None
+  
+    # Function to insert a new node at the beginning 
+    def push(self, new_data): 
+        new_node = Node(new_data) 
+        new_node.next = self.head 
+        self.head = new_node 
+  
+    # Utility function to prit the linked LinkedList 
+    def printList(self): 
+        temp = self.head 
+        while(temp): 
+            print (temp.data), 
+            temp = temp.next
+  
+  
+    def detectLoop(self): 
+        slow_p = self.head 
+        fast_p = self.head 
+        while(slow_p and fast_p and fast_p.next): 
+            slow_p = slow_p.next
+            fast_p = fast_p.next.next
+            if slow_p == fast_p: 
+                print ("Found Loop")
+                return
+        print ("Not Found Loop")
+  
+# Driver program for testing 
+llist = LinkedList() 
+llist.push(20) 
+llist.push(4) 
+llist.push(15) 
+llist.push(10) 
+  
+# Create a loop for testing 
+llist.head.next.next.next.next = llist.head 
+llist.detectLoop() 
diff --git a/floydWarshall.cpp b/floydWarshall.cpp
new file mode 100644
index 00000000..1807d7b8
--- /dev/null
+++ b/floydWarshall.cpp
@@ -0,0 +1,57 @@
+#include<bits/stdc++.h>
+
+using namespace std;
+
+#define V 4
+
+#define INF 99999
+
+void printSol(int dist[][V]);
+
+void floydWarshall(int graph[][V])
+{
+	int dist[V][V];
+	for(int i=0; i<V; ++i)
+		for(int j=0; j<V; ++j)
+			dist[i][j] = graph[i][j];
+
+	for(int k = 0; k<V; ++k)
+	{
+		for(int i=0; i<V; ++i)
+		{
+			for(int j=0; j<V; ++j)
+			{
+				if(dist[i][j] > dist[i][k] + dist[k][j])
+					dist[i][j] = dist[i][k] + dist[k][j];
+			}
+		}
+	}
+	printSol(dist);
+}
+
+void printSol(int dist[][V])
+{
+	for(int i=0; i<V; ++i)
+	{
+		for(int j=0; j<V; ++j)
+		{
+			if(dist[i][j] == INF)
+				cout<<"INF ";
+			else
+				cout<<dist[i][j]<<" ";
+		}
+		cout<<endl;
+	}
+}
+
+int main()
+{
+	int graph[V][V] = { {0,   5,  INF, 10}, 
+                        {INF, 0,   3, INF}, 
+                        {INF, INF, 0,   1}, 
+                        {INF, INF, INF, 0} 
+                      }; 
+  
+    floydWarshall(graph); 
+	return 0;
+}
diff --git a/game_development.md b/game_development.md
new file mode 100644
index 00000000..782f1c3d
--- /dev/null
+++ b/game_development.md
@@ -0,0 +1,165 @@
+# Game Development in C++
+### Introduction
+
+Game Development is an exciting field to explore in programming. It is a growing industry and employs a huge number of developers. This article will focus on the basics of game development for beginners to get started. The concepts are fundamental for game development in any language.
+
+The following functions are fundamental for the development of any game:
+
+* Setup() 
+* Draw()
+* Input()
+* Logic()
+
+**setup() -** 
+This function initializes the game components. For eg. position, score, etc.
+
+```cpp
+void Setup()
+{
+	gameOver = false;
+	dir = STOP;
+	x = width / 2;
+	y = height / 2;
+	fruitX = rand() % width;
+	fruitY = rand() % height;
+	score = 0;
+}
+```
+**draw() -** 
+This function creates the visual components of the game. For eg. game characters
+
+```cpp
+void Draw()
+{
+	system("cls"); 
+	for (int i = 0; i < width+2; i++)
+		cout << "-";
+	cout << endl;
+
+	for (int i = 0; i < height; i++)
+	{
+		for (int j = 0; j < width; j++)
+		{
+			if (j == 0)
+				cout << "|";
+			if (i == y && j == x)
+				cout << "O";
+			else if (i == fruitY && j == fruitX)
+				cout << "*";
+			else
+			{
+				bool print = false;
+				for (int k = 0; k < nTail; k++)
+				{
+					if (tailX[k] == j && tailY[k] == i)
+					{
+						cout << "O";
+						print = true;
+					}
+				}
+				if (!print)
+					cout << " ";
+			}
+				
+
+			if (j == width - 1)
+				cout << "|";
+		}
+		cout << endl;
+	}
+	for (int i = 0; i < width+2; i++)
+		cout << "-";
+	cout << endl;	
+    cout << "Score:" << score << endl;
+}
+```
+
+**input() -** 
+This function manages inputs from the user in order to play/access the game. 
+For eg. Control Keys
+
+```cpp
+void Input()
+{
+	if (_kbhit())
+	{
+		switch (_getch())
+		{
+		case 'a':
+			dir = LEFT;
+			break;
+		case 'd':
+			dir = RIGHT;
+			break;
+		case 'w':
+			dir = UP;
+			break;
+		case 's':
+			dir = DOWN;
+			break;
+		case 'x':
+			gameOver = true;
+			break;
+		}
+	}
+}
+```
+**logic() -** 
+This function manages the flow of the game. This is the most important component of the game that has logic. 
+
+```cpp
+void Logic()
+{
+	int prevX = tailX[0];
+	int prevY = tailY[0];
+	int prev2X, prev2Y;
+	tailX[0] = x;
+	tailY[0] = y;
+	for (int i = 1; i < nTail; i++)
+	{
+		prev2X = tailX[i];
+		prev2Y = tailY[i];
+		tailX[i] = prevX;
+		tailY[i] = prevY;
+		prevX = prev2X;
+		prevY = prev2Y;
+	}
+	switch (dir)
+	{
+	case LEFT:
+		x--;
+		break;
+	case RIGHT:
+		x++;
+		break;
+	case UP:
+		y--;
+		break;
+	case DOWN:
+		y++;
+		break;
+	default:
+		break;
+	}
+	//if (x > width || x < 0 || y > height || y < 0)
+	//	gameOver = true;
+	if (x >= width) x = 0; else if (x < 0) x = width - 1;
+	if (y >= height) y = 0; else if (y < 0) y = height - 1;
+
+	for (int i = 0; i < nTail; i++)
+		if (tailX[i] == x && tailY[i] == y)
+			gameOver = true;
+
+	if (x == fruitX && y == fruitY)
+	{
+		score += 10;
+		fruitX = rand() % width;
+		fruitY = rand() % height;
+		nTail++;
+	}
+}
+```
+
+---
+
+So hope this helps you in getting started. Happy Coding.
diff --git a/gcd and lcm b/gcd and lcm
new file mode 100644
index 00000000..466848a5
--- /dev/null
+++ b/gcd and lcm	
@@ -0,0 +1,19 @@
+#include<bits/stdc++.h>
+using namespace std;
+
+long long gcd(int a, int b)
+{
+	 if (a == 0) 
+        return b;  
+    return gcd(b % a, a);
+}
+
+int main()
+{
+	long long a, b;
+	cin>>a>>b;
+	long long g = gcd(a, b);
+	cout<<"GCD = "<<g<<endl;
+	cout<<"LCM = "<<(a*b)/g;
+	return 0;
+}
diff --git a/heap sort.cpp b/heap sort.cpp
new file mode 100644
index 00000000..f664f3bb
--- /dev/null
+++ b/heap sort.cpp	
@@ -0,0 +1,65 @@
+// C++ program for implementation of Heap Sort 
+#include <iostream> 
+using namespace std; 
+  
+// To heapify a subtree rooted with node i which is 
+// an index in arr[]. n is size of heap 
+void heapify(int arr[], int n, int i) 
+{ 
+    int largest = i; // Initialize largest as root 
+    int l = 2 * i + 1; // left = 2*i + 1 
+    int r = 2 * i + 2; // right = 2*i + 2 
+  
+    // If left child is larger than root 
+    if (l < n && arr[l] > arr[largest]) 
+        largest = l; 
+  
+    // If right child is larger than largest so far 
+    if (r < n && arr[r] > arr[largest]) 
+        largest = r; 
+  
+    // If largest is not root 
+    if (largest != i) { 
+        swap(arr[i], arr[largest]); 
+  
+        // Recursively heapify the affected sub-tree 
+        heapify(arr, n, largest); 
+    } 
+} 
+  
+// main function to do heap sort 
+void heapSort(int arr[], int n) 
+{ 
+    // Build heap (rearrange array) 
+    for (int i = n / 2 - 1; i >= 0; i--) 
+        heapify(arr, n, i); 
+  
+    // One by one extract an element from heap 
+    for (int i = n - 1; i >= 0; i--) { 
+        // Move current root to end 
+        swap(arr[0], arr[i]); 
+  
+        // call max heapify on the reduced heap 
+        heapify(arr, i, 0); 
+    } 
+} 
+  
+/* A utility function to print array of size n */
+void printArray(int arr[], int n) 
+{ 
+    for (int i = 0; i < n; ++i) 
+        cout << arr[i] << " "; 
+    cout << "\n"; 
+} 
+  
+// Driver program 
+int main() 
+{ 
+    int arr[] = { 12, 11, 13, 5, 6, 7 }; 
+    int n = sizeof(arr) / sizeof(arr[0]); 
+  
+    heapSort(arr, n); 
+  
+    cout << "Sorted array is \n"; 
+    printArray(arr, n); 
+}
diff --git a/implementing stack using python b/implementing stack using python
new file mode 100644
index 00000000..ebb4f7e8
--- /dev/null
+++ b/implementing stack using python	
@@ -0,0 +1,10 @@
+# Python code to demonstrate Implementing  
+# stack using list 
+stack = ["Amar", "Akbar", "Anthony"] 
+stack.append("Ram") 
+stack.append("Iqbal") 
+print(stack) 
+print(stack.pop()) 
+print(stack) 
+print(stack.pop()) 
+print(stack) 
diff --git a/insert.py b/insert.py
new file mode 100644
index 00000000..95de0139
--- /dev/null
+++ b/insert.py
@@ -0,0 +1,11 @@
+list1 = [ 9, 2, 8, 4, 0, 1, 34 ]  
+  
+# insert 45 at 5th index  
+list1.insert(4, 45)  
+print(list1)  
+  
+list2 = ['q', 'b', 'u', 'h', 'p']  
+  
+# insert z at the front of the list 
+list2.insert(0, 'z') 
+print(list2)
diff --git a/jobSequencing.cpp b/jobSequencing.cpp
new file mode 100644
index 00000000..501d57c7
--- /dev/null
+++ b/jobSequencing.cpp
@@ -0,0 +1,69 @@
+// Program to find the maximum profit job sequence from a given array 
+// of jobs with deadlines and profits 
+#include<iostream> 
+#include<algorithm> 
+using namespace std; 
+  
+// A structure to represent a job 
+struct Job 
+{ 
+   char id;      // Job Id 
+   int dead;    // Deadline of job 
+   int profit;  // Profit if job is over before or on deadline 
+}; 
+  
+// This function is used for sorting all jobs according to profit 
+bool comparison(Job a, Job b) 
+{ 
+     return (a.profit > b.profit); 
+} 
+  
+// Returns minimum number of platforms reqquired 
+void printJobScheduling(Job arr[], int n) 
+{ 
+    // Sort all jobs according to decreasing order of prfit 
+    sort(arr, arr+n, comparison); 
+  
+    int result[n]; // To store result (Sequence of jobs) 
+    bool slot[n];  // To keep track of free time slots 
+  
+    // Initialize all slots to be free 
+    for (int i=0; i<n; i++) 
+        slot[i] = false; 
+  
+    // Iterate through all given jobs 
+    for (int i=0; i<n; i++) 
+    { 
+       // Find a free slot for this job (Note that we start 
+       // from the last possible slot) 
+       for (int j=min(n, arr[i].dead)-1; j>=0; j--) 
+       { 
+          // Free slot found 
+          if (slot[j]==false) 
+          { 
+             result[j] = i;  // Add this job to result 
+             slot[j] = true; // Make this slot occupied 
+             break; 
+          } 
+       } 
+    } 
+  
+    // Print the result 
+    for (int i=0; i<n; i++) 
+       if (slot[i]) 
+         cout << arr[result[i]].id << " "; 
+} 
+  
+// Driver program to test methods 
+int main() 
+{ 
+    Job arr[] = { {'a', 2, 100}, {'b', 1, 19}, {'c', 2, 27}, 
+                   {'d', 1, 25}, {'e', 3, 15}}; 
+    int n = sizeof(arr)/sizeof(arr[0]); 
+    cout << "Following is maximum profit sequence of jobsn"; 
+    printJobScheduling(arr, n); 
+    return 0; 
+} 
+
+Output:
+Followi
diff --git a/johnsons_algo.py b/johnsons_algo.py
new file mode 100644
index 00000000..743bd902
--- /dev/null
+++ b/johnsons_algo.py
@@ -0,0 +1,149 @@
+
+        
+'''
+def Johnsons():
+    data = list()
+    source = list()
+    destination = list()
+    edgecost = list()
+    test = 0
+    vertices = 0
+    edges = 0
+    data = readfile()
+    vertexlist = list()
+    distance = list()
+    vertices, edges, source, destination, edgecost, vertexlist, distance = setdata(data)
+    predecessor = list()
+    d = list()
+    d, predecessor = intialize(distance)
+    #relaxation
+    source, destination, edgecost, d, predecessor = relax(vertices, source, destination, edgecost, d, predecessor,edges)
+    #change weights
+    vertexlist.reverse()
+    source, destination, edgecost, d = reweight(vertices, source, destination, edgecost, d,edges)
+    output(source, destination, edgecost)
+    for x in vertexlist:
+        print('Running Dijkstra on vertex ' + str(x))
+        Dijkstra(vertexlist,x,source, destination, edgecost, predecessor, edges,vertices)
+
+'''
+
+
+
+
+from heapq import heappush, heappop
+from datetime import datetime
+from copy import deepcopy
+graph = { 
+    'a' : {'b':-2},
+    'b' : {'c':-1},
+    'c' : {'x':2, 'a':4, 'y':-3},
+    'z' : {'x':1, 'y':-4},
+    'x' : {},
+    'y' : {},
+}
+
+inf = float('inf')
+dist = {}
+
+def read_graph(file,n):
+    graph = dict()
+    with open(file) as f:
+        for l in f:
+            (u, v, w) = l.split()
+            if int(u) not in graph:
+                graph[int(u)] = dict()
+            graph[int(u)][int(v)] = int(w)
+    for i in range(n):
+        if i not in graph:
+            graph[i] = dict()
+    return graph
+
+def dijkstra(graph, s):
+    n = len(graph.keys())
+    dist = dict()
+    Q = list()
+    
+    for v in graph:
+        dist[v] = inf
+    dist[s] = 0
+    
+    heappush(Q, (dist[s], s))
+
+    while Q:
+        d, u = heappop(Q)
+        if d < dist[u]:
+            dist[u] = d
+        for v in graph[u]:
+            if dist[v] > dist[u] + graph[u][v]:
+                dist[v] = dist[u] + graph[u][v]
+                heappush(Q, (dist[v], v))
+    return dist
+
+def initialize_single_source(graph, s):
+    for v in graph:
+        dist[v] = inf
+    dist[s] = 0
+    
+def relax(graph, u, v):
+    if dist[v] > dist[u] + graph[u][v]:
+        dist[v] = dist[u] + graph[u][v]
+
+def bellman_ford(graph, s):
+    initialize_single_source(graph, s)
+    edges = [(u, v) for u in graph for v in graph[u].keys()]
+    number_vertices = len(graph)
+    for i in range(number_vertices-1):
+        for (u, v) in edges:
+            relax(graph, u, v)
+    for (u, v) in edges:
+        if dist[v] > dist[u] + graph[u][v]:
+            return False # there exists a negative cycle
+    return True
+
+def add_extra_node(graph):
+    graph[0] = dict()
+    for v in graph.keys():
+        if v != 0:
+            graph[0][v] = 0
+
+def reweighting(graph_new):
+    add_extra_node(graph_new)
+    if not bellman_ford(graph_new, 0):
+        # graph contains negative cycles
+        return False
+    for u in graph_new:
+        for v in graph_new[u]:
+            if u != 0:
+                graph_new[u][v] += dist[u] - dist[v]
+    del graph_new[0]
+    return graph_new
+
+def johnsons(graph_new):
+    graph = reweighting(graph_new)
+    if not graph:
+        return False
+    final_distances = {}
+    for u in graph:
+        final_distances[u] = dijkstra(graph, u)
+
+    for u in final_distances:
+        for v in final_distances[u]:
+            final_distances[u][v] += dist[v] - dist[u]
+    return final_distances
+            
+def compute_min(final_distances):
+    return min(final_distances[u][v] for u in final_distances for v in final_distances[u])
+
+if __name__ == "__main__":
+    # graph = read_graph("graph.txt", 1000)
+    graph_new = deepcopy(graph)
+    t1 = datetime.utcnow()
+    final_distances =  johnsons(graph_new)
+    if not final_distances:
+        print("Negative cycle")
+    else:
+        print(compute_min(final_distances))
+    print(datetime.utcnow() - t1)
+
+
diff --git a/kruskals_algo.cpp b/kruskals_algo.cpp
new file mode 100644
index 00000000..5a6a7c6e
--- /dev/null
+++ b/kruskals_algo.cpp
@@ -0,0 +1,83 @@
+#include <iostream>
+#include <algorithm>
+using namespace std;
+
+class Edge {
+    public :
+    int source;
+    int dest;
+    int weight;
+};
+
+bool compare(Edge e1, Edge e2) {
+    return e1.weight < e2.weight;
+}
+
+int findParent(int v, int *parent) {
+    if(parent[v] == v) {
+        return v;
+    }
+    return findParent(parent[v], parent);
+}
+
+void kruskals(Edge *input, int n, int E) {
+    
+    sort(input, input + E, compare);
+
+    Edge *output = new Edge[n-1];
+
+    int *parent = new int[n];
+
+    for(int i = 0; i < n; i++) {
+        parent[i] = i;
+    }
+
+
+    int count = 0;
+    int i = 0;
+    while(count != n -1) {
+        Edge currentEdge = input[i];
+
+        
+        int sourceParent = findParent(currentEdge.source, parent);
+        int destParent = findParent(currentEdge.dest, parent);
+
+        if(sourceParent != destParent) {
+            output[count] = currentEdge;
+            count++;
+            parent[sourceParent] = destParent;
+        }
+        i++;
+
+    }
+
+    for(int i = 0; i < n-1; i++) {
+        if(output[i].source < output[i].dest) {
+            cout << output[i].source << " " << output[i].dest << " "
+            << output[i].weight << endl;
+
+        }
+        else {
+            cout << output[i].dest << " " << output[i].source << " "
+            << output[i].weight << endl;
+
+        }
+    }
+
+}
+
+int main() {
+    int n, E;
+    cin >> n >> E;
+    Edge *input = new Edge[E];
+
+    for(int i = 0; i < E; i++) {
+        int s, d, w;
+        cin >> s >> d >> w;
+        input[i].source = s;
+        input[i].dest = d;
+        input[i].weight = w;
+    }
+
+    kruskals(input, n, E);
+}
diff --git a/longestCommonSubsequence.cpp b/longestCommonSubsequence.cpp
new file mode 100644
index 00000000..56f16a87
--- /dev/null
+++ b/longestCommonSubsequence.cpp
@@ -0,0 +1,36 @@
+#include<bits/stdc++.h>
+
+using namespace std;
+
+int lcs(string &X, string &Y, int m, int n)
+{
+	int dp[m+1][n+1];
+	for(int i=0; i<m+1; ++i)
+	{
+		for(int j=0; j<n+1; ++j)
+		{
+			if(i == 0 || j == 0)
+				dp[i][j] = 0;
+			else if(X[i-1] == Y[j-1])
+				dp[i][j] = 1 + dp[i-1][j-1];
+			else
+				dp[i][j] = max(dp[i-1][j], dp[i][j-1]);
+		}
+	}
+	return dp[m][n];
+}
+
+int main()
+{
+	//char X[] = "AGGTAB"; 
+  	//char Y[] = "GXTXAYB"; 
+   string X("AGGTAB");
+   string Y("GXTXAYB");
+  	//int m = strlen(X); 
+  //	int n = strlen(Y); 
+   
+  	//printf("Length of LCS is %d", lcs( X, Y, m, n ) ); 
+     	printf("Length of LCS is %d", lcs( X, Y, X.length(), Y.length() )); 
+
+	return 0;
+}
diff --git a/longestIncreasingSubsequence.cpp b/longestIncreasingSubsequence.cpp
new file mode 100644
index 00000000..f2f3b63e
--- /dev/null
+++ b/longestIncreasingSubsequence.cpp
@@ -0,0 +1,25 @@
+#include<bits/stdc++.h>
+
+using namespace std;
+
+int lis(int arr[], int n)
+{
+	int lis[n];
+	lis[0] = 1;
+	for(int i=0; i<n; ++i)
+	{
+		lis[i] = 1;
+		for(int j=0; j<i; ++j)
+			if(arr[i] > arr[j] && lis[j] + 1 > lis[i])
+				lis[i] = lis[j] + 1;
+	}
+	return lis[n-1];
+}
+
+int main()  
+{  
+    int arr[] = { 10, 22, 9, 33, 21, 50, 41, 60 };  
+    int n = sizeof(arr)/sizeof(arr[0]);  
+    printf("Length of lis is %d\n", lis( arr, n ) );  
+    return 0;  
+}
diff --git a/merge.c b/merge.c
new file mode 100644
index 00000000..192317f3
--- /dev/null
+++ b/merge.c
@@ -0,0 +1,158 @@
+#include<stdio.h>
+#include<conio.h>
+#include<stdlib.h>
+
+	
+typedef struct Node
+{
+	struct Node* next;
+	int data;
+}Node;
+
+
+Node* create(int data)
+{
+	Node *temp=(Node*)malloc(sizeof(Node));
+	temp->data=data;
+	temp->next=NULL;;
+	return temp;
+}
+void insert_order(struct Node**l,int data)
+{	Node *temp=create(data);
+	Node *p=NULL;
+	Node *q=NULL;
+	if(*l==NULL)
+		*l=temp;
+	else 
+	{p=*l;
+		while(p!=NULL &&(data>(p->data)))
+			{
+				q=p;
+				p=p->next;
+			}
+			if(q!=NULL)
+			{
+				q->next=temp;
+				temp->next=p;
+			}
+			else if(q==NULL)
+			{
+				temp->next=p;
+				*l=temp;
+			}
+			else
+			{
+				q->next=temp;
+			} 	temp->next=NULL;
+	}
+}
+
+void display(Node *p)
+{
+	if(p==NULL)
+		printf("\nEmpty list\n");
+	else
+	{	
+		Node *temp=p;
+		while(temp!=NULL)
+		{
+			printf("%d ",temp->data);
+			temp=temp->next;
+		}
+	}
+}
+
+void insert_tail(struct Node**l,int data)
+{	Node *temp=create(data);
+	if(*l==NULL)
+		*l=temp;
+	else
+	{
+		Node *q=*l;
+		while(q->next!=NULL)
+			q=q->next;
+		q->next=temp;
+		temp->next=NULL;
+	}
+}
+
+void merge(Node *first,Node *second,Node **final)
+	{
+		while((first!=NULL)&&(second!=NULL))
+			{	if((first->data)<(second->data))
+					{
+						insert_tail(final,first->data);
+						first=first->next;
+					}
+				else if((first->data)>(second->data))
+					{
+						insert_tail(final,second->data);
+						second=second->next;
+					}
+			}
+		if(first==NULL)
+		{	while(second!=NULL)
+			{insert_tail(final,second->data);
+			second=second->next;
+			}
+		}
+		else
+		{
+			while(first!=NULL)
+			{insert_tail(final,first->data);
+			first=first->next;
+			}		
+		}
+	}
+
+
+int main()
+{
+	Node* first, *second, *third;
+		first=second=third=NULL;
+	int choice=0;
+	printf("\n1.Insert into lists\n2.Display\n3.Merge\n");
+	do
+		{
+			printf("\nEnter choice:");
+			scanf("%d",&choice);char ch='y';char ch2='Y';
+			int ele;
+			int opt=0;
+			switch(choice)
+			{
+				case 1:while(ch=='y')
+						{	printf("\nEnter element into list1:");
+							scanf("%d",&ele);
+							insert_order(&first,ele);
+							printf("\nTo add to list 1,press y..");
+							fflush(stdin);	
+							ch=getchar();
+							
+						}
+						while(ch2=='Y')	
+						{	printf("\nEnter element into list 2:");
+						 	scanf("%d",&ele);
+							insert_order(&second,ele);
+							printf("\nTo add to list 2,press Y..");
+							fflush(stdin);	
+							ch2=getchar();
+						}
+						break;
+				
+				case 2:	printf("\nFirst list is:"); 
+						display(first);
+						printf("\nSecond List is:");
+						display(second);
+						break;
+				
+				case 3:merge(first,second,&third);
+					   printf("\nMerged list is:");
+					   display(third);
+						break;
+				default:exit(0);
+			}
+		}while(choice);
+	getch();
+	return 0;
+}
+			
diff --git a/modular_exponentiation.cpp b/modular_exponentiation.cpp
new file mode 100644
index 00000000..ecf14c54
--- /dev/null
+++ b/modular_exponentiation.cpp
@@ -0,0 +1,32 @@
+#include<bits/stdc++.h>
+using namespace std;
+#define mod 1000000007
+#define ll long long int 
+#define pb push_back
+#define mp make_pair
+#define rep(a,b,c) for(int i = a; i < b; i+=c)
+
+/* Iterative Function to calculate (x^y) in O(log y) */
+int power(int x, unsigned int y) 
+{ 
+    int res = 1;     // Initialize result 
+   
+    while (y > 0) 
+    { 
+        // If y is odd, multiply x with result 
+        if (y & 1) 
+            res = res*x; 
+        // y must be even now 
+        y = y>>1; // y = y/2 
+        x = x*x;  // Change x to x^2 
+    } 
+    return res; 
+}
+
+int main()
+{
+	int n,m;
+	cin>>n>>m;
+	cout<<power(n,m)<<endl;
+	return 0;
+}
\ No newline at end of file
diff --git a/naivestringmatching.py b/naivestringmatching.py
new file mode 100644
index 00000000..2e2c100d
--- /dev/null
+++ b/naivestringmatching.py
@@ -0,0 +1,17 @@
+def funtion(txt,pat):
+	n=len(txt)
+	m=len(pat)
+	for i in range(n-m+1):
+		for j in range(m):
+			if(txt[i+j]!=pat[j]):
+				break
+			else:
+				j+=1
+		if(j==m):
+			print("Found at:",i)
+
+
+if __name__ == '__main__':
+	txt="SouravMondalSM"
+	pat="SM"
+	funtion(txt,pat)
diff --git a/nut_bolt.cpp b/nut_bolt.cpp
new file mode 100644
index 00000000..483e16e8
--- /dev/null
+++ b/nut_bolt.cpp
@@ -0,0 +1,34 @@
+#include <bits/stdc++.h> 
+using namespace std; 
+  
+
+void nutboltmatch(char nuts[], char bolts[], int n) 
+{ 
+    unordered_map<char, int> hash; 
+  
+    
+    for (int i = 0; i < n; i++) 
+        hash[nuts[i]] = i; 
+  
+   
+    for (int i = 0; i < n; i++) 
+        if (hash.find(bolts[i]) != hash.end()) 
+            nuts[i] = bolts[i]; 
+  
+    cout << "matched nuts and bolts are-" << endl; 
+    for (int i = 0; i < n; i++) 
+        cout << nuts[i] << " "; 
+    cout << endl; 
+    for (int i = 0; i < n; i++) 
+        cout << bolts[i] << " "; 
+} 
+  
+
+int main() 
+{ 
+    char nuts[] = {'@', '#', '$', '%', '^', '&'}; 
+    char bolts[] = {'$', '%', '&', '^', '@', '#'}; 
+    int n = sizeof(nuts) / sizeof(nuts[0]); 
+    nutboltmatch(nuts, bolts, n); 
+    return 0; 
+} 
diff --git a/palindrome.cpp.txt b/palindrome.cpp.txt
new file mode 100644
index 00000000..c15e1a1e
--- /dev/null
+++ b/palindrome.cpp.txt
@@ -0,0 +1,22 @@
+#include<iostream>
+using namespace std;
+int main()
+{
+int n,num,d,rev=0;
+cout << "enter the positive number";
+cin >> num;
+n=num;
+do
+{
+d=num%10;
+rev=(rev*10)+d;
+num=num/10;
+}
+while(num!=0);
+cout << "the reverse of the number is:"<< rev << end1;
+if(n==rev)
+cout << "the number is palindrome";
+else
+cout << "the number is not palindrome";
+return 0;
+}
\ No newline at end of file
diff --git a/parallelbubblesort.cpp b/parallelbubblesort.cpp
new file mode 100644
index 00000000..064b756e
--- /dev/null
+++ b/parallelbubblesort.cpp
@@ -0,0 +1,83 @@
+#include<bits/stdc++.h>
+#include<omp.h>
+#include<chrono>
+using namespace std;
+using namespace std::chrono;
+typedef long long ll;
+
+void sbubble(int arr[],int n){
+time_point<system_clock> start,end;
+	start=system_clock::now();
+	for(int i=0;i<n;i++){
+		for(int j=0;j<n;j++){
+			if(arr[j]>arr[j+1]){
+				int temp=arr[j];
+				arr[j]=arr[j+1];
+				arr[j+1]=temp;
+			}
+		}
+	}
+end=system_clock::now();
+	duration<double> time=end-start;
+
+	cout<<"Serial Bubble Sort time is: "<<time.count()*1000<<"\n";
+}
+
+
+void pbubble(int arr[],int n){
+
+	omp_set_num_threads(2);
+	int first=0;
+	time_point<system_clock> start,end;
+	start=system_clock::now();
+	for(int i=0;i<n;i++){
+	 first=i%2;
+	#pragma omp parallel for default(none),shared(arr,first,n)
+		for(int j=first;j<n;j++){
+			if(arr[j]>arr[j+1]){
+				int temp=arr[j];
+				arr[j]=arr[j+1];
+				arr[j+1]=temp;
+			}
+		}
+	}
+	end=system_clock::now();
+	duration<double> time=end-start;
+
+	cout<<"Paralel Bubble Sort time is: "<<time.count()*1000<<"\n";
+}
+
+int main(){
+	int n;
+	cout<<"Enter the size of the random array to be generated\n";
+	cin>>n;
+	
+	int *a=new int[n];
+	int *b=new int[n];
+	int in=0,in1=0;
+	for(int i=n-1;i>=0;i--){
+		a[in++]=i;
+		b[in1++]=i;
+	}
+	
+	
+
+	sbubble(a,n);
+	pbubble(b,n);
+	
+	return 0;
+}
+	
+	
+/* Execution:
+	
+	1. Open terminal
+	2. g++ -std=c++14 -fopenmp parallelbubblesort.cpp
+	3. ./a.out
+	
+	Enter the size of the random array to be generated
+	20000
+	Serial Bubble Sort time is: 2406.04 milliseconds
+	Paralel Bubble Sort time is: 1529.21 milliseconds
+	
+*/
diff --git a/paranthesesChecker.py b/paranthesesChecker.py
new file mode 100644
index 00000000..02972d8b
--- /dev/null
+++ b/paranthesesChecker.py
@@ -0,0 +1,18 @@
+ef check(expression): 
+      
+    open_tup = tuple('({[') 
+    close_tup = tuple(')}]') 
+    map = dict(zip(open_tup, close_tup)) 
+    queue = [] 
+  
+    for i in expression: 
+        if i in open_tup: 
+            queue.append(map[i]) 
+        elif i in close_tup: 
+            if not queue or i != queue.pop(): 
+                return "Unbalanced"
+    return "Balanced"
+  
+# Driver code 
+string = "{[]{()}}"
+print(string, "-", check(string)) 
diff --git a/prime number b/prime number
new file mode 100644
index 00000000..6ae4e377
--- /dev/null
+++ b/prime number	
@@ -0,0 +1,31 @@
+#include<bits/stdc++.h>
+using namespace std;
+
+int main()
+{
+	int n, count=0;
+	cin>>n;
+	
+	bool a[n+1];
+	a[0] = false;
+	a[1] = false;
+	for( int i=2; i<n; i++ )
+		a[i] = true;
+	
+	for( int i=2; i*i<=n; i++ )
+	{
+		if( a[i]==true){
+			for( int j=i*i; j<=n; j+=i )
+			{
+				a[j] = false; 
+			}
+		}
+	}
+	
+	for( int i=0; i<n; i++ )
+	{
+		if(a[i]==true)
+			cout<<i<<" ";
+	}
+	return 0;
+}
diff --git a/quick sort in kotlin b/quick sort in kotlin
new file mode 100644
index 00000000..f1658176
--- /dev/null
+++ b/quick sort in kotlin	
@@ -0,0 +1,43 @@
+fun quick_sort(A: Array<Int>, p: Int, r: Int) {
+    if (p < r) {
+        var q: Int = partition(A, p, r)
+        quick_sort(A, p, q - 1)
+        quick_sort(A, q + 1, r)
+
+    }
+}
+
+fun partition(A: Array<Int>, p: Int, r: Int): Int {
+    var x = A[r]
+    var i = p - 1
+    for (j in p until r) {
+        if (A[j] <= x) {
+            i++
+            exchange(A, i, j)
+        }
+    }
+    exchange(A, i + 1, r)
+    return i + 1
+}
+
+fun exchange(A: Array<Int>, i: Int, j: Int) {
+    var temp = A[i]
+    A[i] = A[j]
+    A[j] = temp
+}
+
+fun main(arg: Array<String>) {
+    print("Enter no. of elements :")
+    var n = readLine()!!.toInt()
+
+    println("Enter elements : ")
+    var A = Array(n, { 0 })
+    for (i in 0 until n)
+        A[i] = readLine()!!.toInt()
+
+    quick_sort(A, 0, A.size - 1)
+
+    println("Sorted array is : ")
+    for (i in 0 until n)
+        print("${A[i]}  ")
+}
diff --git a/radix.cpp b/radix.cpp
new file mode 100644
index 00000000..d845549b
--- /dev/null
+++ b/radix.cpp
@@ -0,0 +1,33 @@
+#include <stdio.h>
+#include <stdint.h>
+#include <time.h>
+
+#include "generic.h"
+#include "radix_sort.h"
+
+int main()
+{
+  using namespace alg;
+  const int MAX_ELEMENTS = 10;
+  uint32_t list[MAX_ELEMENTS];
+
+  int i = 0;
+  srand(time(NULL));
+  // generate random numbers and fill them to the list
+  for(i = 0; i < MAX_ELEMENTS; i++ ){
+    list[i] = rand()%100;
+  }
+
+  printf("The list before sorting is:\n");
+  printlist(list,MAX_ELEMENTS);
+
+  // sort the list using insertion sort
+  radix_sort(list, MAX_ELEMENTS);  
+  check_order(list, MAX_ELEMENTS);
+
+  // print the result
+  printf("The list after sorting using radix sort algorithm:\n");
+  printlist(list,MAX_ELEMENTS);
+
+  return 0;
+}
diff --git a/radix_sort.cpp b/radix_sort.cpp
new file mode 100644
index 00000000..d73d15db
--- /dev/null
+++ b/radix_sort.cpp
@@ -0,0 +1,48 @@
+#include<iostream>
+#include<list>
+#include<cmath>
+using namespace std;
+void display(int *array, int size) {
+   for(int i = 0; i<size; i++)
+      cout << array[i] << " ";
+   cout << endl;
+}
+void radixSort(int *arr, int n, int max) {
+   int i, j, m, p = 1, index, temp, count = 0;
+   list<int> pocket[10];      //radix of decimal number is 10
+   for(i = 0; i< max; i++) {
+      m = pow(10, i+1);
+      p = pow(10, i);
+      for(j = 0; j<n; j++) {
+         temp = arr[j]%m;
+         index = temp/p;      //find index for pocket array
+         pocket[index].push_back(arr[j]);
+      }
+      count = 0;
+      for(j = 0; j<10; j++) {
+         //delete from linked lists and store to array
+         while(!pocket[j].empty()) {
+            arr[count] = *(pocket[j].begin());
+            pocket[j].erase(pocket[j].begin());
+            count++;
+         }
+      }
+   }
+}
+int main() {
+   int n, max;
+   cout << "Enter the number of elements: ";
+   cin >> n;
+   cout << "Enter the maximum digit of elements: ";
+   cin >> max;
+   int arr[n]; //create an array with given number of elements
+   cout << "Enter elements:" << endl;
+   for(int i = 0; i<n; i++) {
+      cin >> arr[i];
+   }
+   cout << "Data before Sorting: ";
+   display(arr, n);
+   radixSort(arr, n, max);
+   cout << "Data after Sorting: ";
+   display(arr, n);
+}
diff --git a/rat_maze.cpp b/rat_maze.cpp
new file mode 100644
index 00000000..cc26f666
--- /dev/null
+++ b/rat_maze.cpp
@@ -0,0 +1,80 @@
+/* C/C++ program to solve Rat in a Maze problem using 
+backtracking */
+#include<bits/stdc++.h>
+#define N 4
+using namespace std;
+/* A utility function to check if x, y is valid index for N*N maze */
+bool isSafe(int maze[N][N], int x, int y) 
+{
+	// if (x, y outside maze) return false 
+	if (x >= 0 && x < N && y >= 0 && y < N && maze[x][y] == 1)
+		return true;
+	return false;
+}
+/* This function solves the Maze problem using Backtracking. It mainly 
+uses solveMazeUtil() to solve the problem. It returns false if no 
+path is possible, otherwise return true and prints the path in the 
+form of 1s. Please note that there may be more than one solutions, 
+this function prints one of the feasible solutions.*/
+bool solveMazeUtil(int maze[N][N], int x, int y, int sol[N][N])
+{
+	// if (x, y is goal) return true 
+	if (x == N - 1 && y == N - 1)
+	{
+		sol[x][y] = 1;
+		return true;
+	}
+	// Check if maze[x][y] is valid
+	if (isSafe(maze, x, y) == true)
+	{
+		// mark x, y as part of solution path
+		sol[x][y] = 1;
+		/* Move forward in x direction */
+		if (solveMazeUtil(maze, x + 1, y, sol) == true)
+			return true;
+		/* If moving in x direction doesn't give solution then
+		Move down in y direction */
+		if (solveMazeUtil(maze, x, y + 1, sol) == true)
+			return true;
+		/* If none of the above movements work then BACKTRACK:
+			unmark x, y as part of solution path */
+		sol[x][y] = 0;
+		return false;
+	}
+	return false;
+}
+/* A utility function to print solution matrix sol[N][N] */
+void printSolution(int sol[N][N])
+{ 
+	for (int i = 0; i < N; i++)
+	{ 
+		for (int j = 0; j < N; j++) 
+			cout << sol[i][j] << " "; 
+		cout << endl;
+	}
+}
+bool solveMaze(int maze[N][N]) 
+{
+	int sol[N][N] = { { 0, 0, 0, 0 },
+					{ 0, 0, 0, 0 },
+					{ 0, 0, 0, 0 },
+					{ 0, 0, 0, 0 } };
+	if (solveMazeUtil(maze, 0, 0, sol) == false)
+	{
+		cout << "Solution doesn't exist" << endl;;
+		return false;
+	}
+	printSolution(sol); 
+	return true;
+}
+/* A recursive utility function to solve Maze problem */
+// driver program to test above function
+int main()
+{
+	int maze[N][N] = { { 1, 0, 0, 0 },
+					{ 1, 1, 0, 1 },
+					{ 0, 1, 0, 0 },
+					{ 1, 1, 1, 1 } };
+	solveMaze(maze);
+	return 0;
+}
diff --git a/searcharray.cpp b/searcharray.cpp
new file mode 100644
index 00000000..1d214aa5
--- /dev/null
+++ b/searcharray.cpp
@@ -0,0 +1,22 @@
+#include<bits/stdc++.h>
+using namespace std;
+
+int main(){
+int n;
+cout<<"Enter size of the array:"<<endl;
+cin>>n;
+int arr[n];
+cout<<"Enter array elements:"<<endl;
+for(int i=0;i<n;i++)
+cin>>arr[i];
+int x;
+cout<<"Enter number to be found:"<<endl;
+cin>>x;
+//search
+for(int i=0;i<n;i++){
+if(arr[i]==x){
+cout<<"Element found at:"<<i+1<<endl;
+        }
+  }
+return 0;
+}
diff --git a/selectionsort.py b/selectionsort.py
new file mode 100644
index 00000000..b95cc11f
--- /dev/null
+++ b/selectionsort.py
@@ -0,0 +1,23 @@
+# Python program for implementation of Selection 
+# Sort 
+import sys 
+A = [64, 25, 12, 22, 11] 
+
+# Traverse through all array elements 
+for i in range(len(A)): 
+	
+	# Find the minimum element in remaining 
+	# unsorted array 
+	min_idx = i 
+	for j in range(i+1, len(A)): 
+		if A[min_idx] > A[j]: 
+			min_idx = j 
+			
+	# Swap the found minimum element with 
+	# the first element		 
+	A[i], A[min_idx] = A[min_idx], A[i] 
+
+# Driver code to test above 
+print ("Sorted array") 
+for i in range(len(A)): 
+	print("%d" %A[i]), 
diff --git a/shell_sort.cpp b/shell_sort.cpp
new file mode 100644
index 00000000..3e445ecb
--- /dev/null
+++ b/shell_sort.cpp
@@ -0,0 +1,43 @@
+#include <cstdio>
+
+#define ELEMENT_COUNT 100000
+
+using namespace std;
+
+int n, d[ELEMENT_COUNT];
+
+void Shell_sort()
+{
+  for (int gc = n >> 1; gc >= 1; gc >>= 1)
+  {
+    for (int s = 0; s < gc; s++)
+    {
+      for (int i = s; i < n; i += gc)
+      {
+        for (int j = i - gc; j >= 0 && d[j] > d[j + gc]; j -= gc)
+        {
+          int temp = d[j];
+          d[j] = d[j + gc];
+          d[j + gc] = temp;
+        }
+      }
+    }
+  }
+}
+
+int main()
+{
+  scanf("%d", &n);
+  for (int i = 0; i < n; i++)
+  {
+    scanf("%d", &d[i]);
+  }
+  Shell_sort();
+  for (int i = 0; i < n; i++)
+  {
+    printf("%d ", d[i]);
+  }
+  return 0;
+}
+
+
diff --git a/shuffle_deck_of_cards.py b/shuffle_deck_of_cards.py
new file mode 100644
index 00000000..c54ec1ea
--- /dev/null
+++ b/shuffle_deck_of_cards.py
@@ -0,0 +1,28 @@
+# Shuffle a deck of cards
+from random import randint
+
+suits = ['Clubs', 'Diamonds', 'Hearts', 'Spades']
+values = ['Ace', 'King', 'Queen', 'Jack', 'Ten', 'Nine', 'Eight', 'Seven', \
+          'Six', 'Five', 'Four', 'Three', 'Two']
+
+def main():
+    
+    # Create deck
+    deck = []
+    for suit in suits:
+        for value in values:
+            deck.append("{} of {}".format(value, suit))
+
+    # shuffle
+    deckSize = len(deck)
+    maxCardIdx = deckSize - 1
+    for cardIdx in range(deckSize):
+        randIdx = randint(0, maxCardIdx)
+        deck[cardIdx], deck[randIdx] = deck[randIdx], deck[cardIdx]
+
+    for idx, card in enumerate(deck, 1):
+        print("{}. {}".format(idx, card))
+
+
+if __name__ == "__main__":
+    main()
diff --git a/sieve.cpp b/sieve.cpp
new file mode 100644
index 00000000..2f5bb534
--- /dev/null
+++ b/sieve.cpp
@@ -0,0 +1,34 @@
+#include <bits/stdc++.h> 
+using namespace std; 
+  
+void SieveOfEratosthenes(int n) 
+{ 
+    // Create a boolean array and initialize the values as true
+    bool prime[n+1]; 
+    memset(prime, true, sizeof(prime)); 
+  
+    for (int p=2; p*p<=n; p++) 
+    { 
+        // If prime[p] is not changed, then it is a prime 
+        if (prime[p] == true) 
+        { 
+            //Update multiples  
+            for (int i=p*p; i<=n; i += p) 
+                prime[i] = false; 
+        } 
+    } 
+  
+    // Print all prime numbers 
+    for (int p=2; p<=n; p++) 
+       if (prime[p]) 
+          cout << p << " "; 
+} 
+  
+// Driver Program
+int main() 
+{ 
+    int n = 30; 
+    cout << " Prime Numbers in the range 1 to " << n << endl; 
+    SieveOfEratosthenes(n); 
+    return 0; 
+} 
diff --git a/singly linked list/singly-linked-list.cpp b/singly linked list/singly-linked-list.cpp
new file mode 100644
index 00000000..374d9d62
--- /dev/null
+++ b/singly linked list/singly-linked-list.cpp	
@@ -0,0 +1,133 @@
+// A complete working C++ program to demonstrate 
+// all insertion methods on Linked List 
+#include <bits/stdc++.h> 
+using namespace std; 
+
+// A linked list node 
+class Node 
+{ 
+	public: 
+	int data; 
+	Node *next; 
+}; 
+
+/* Given a reference (pointer to pointer) 
+to the head of a list and an int, inserts 
+a new node on the front of the list. */
+void push(Node** head_ref, int new_data) 
+{ 
+	/* 1. allocate node */
+	Node* new_node = new Node(); 
+
+	/* 2. put in the data */
+	new_node->data = new_data; 
+
+	/* 3. Make next of new node as head */
+	new_node->next = (*head_ref); 
+
+	/* 4. move the head to point to the new node */
+	(*head_ref) = new_node; 
+} 
+
+/* Given a node prev_node, insert a new node after the given 
+prev_node */
+void insertAfter(Node* prev_node, int new_data) 
+{ 
+	/*1. check if the given prev_node is NULL */
+	if (prev_node == NULL) 
+	{ 
+		cout<<"the given previous node cannot be NULL"; 
+		return; 
+	} 
+
+	/* 2. allocate new node */
+	Node* new_node = new Node(); 
+
+	/* 3. put in the data */
+	new_node->data = new_data; 
+
+	/* 4. Make next of new node as next of prev_node */
+	new_node->next = prev_node->next; 
+
+	/* 5. move the next of prev_node as new_node */
+	prev_node->next = new_node; 
+} 
+
+/* Given a reference (pointer to pointer) to the head 
+of a list and an int, appends a new node at the end */
+void append(Node** head_ref, int new_data) 
+{ 
+	/* 1. allocate node */
+	Node* new_node = new Node(); 
+
+	Node *last = *head_ref; /* used in step 5*/
+
+	/* 2. put in the data */
+	new_node->data = new_data; 
+
+	/* 3. This new node is going to be 
+	the last node, so make next of 
+	it as NULL*/
+	new_node->next = NULL; 
+
+	/* 4. If the Linked List is empty, 
+	then make the new node as head */
+	if (*head_ref == NULL) 
+	{ 
+		*head_ref = new_node; 
+		return; 
+	} 
+
+	/* 5. Else traverse till the last node */
+	while (last->next != NULL) 
+		last = last->next; 
+
+	/* 6. Change the next of last node */
+	last->next = new_node; 
+	return; 
+} 
+
+// This function prints contents of 
+// linked list starting from head 
+void printList(Node *node) 
+{ 
+	while (node != NULL) 
+	{ 
+		cout<<" "<<node->data; 
+		node = node->next; 
+	} 
+} 
+
+/* Driver code*/
+int main() 
+{ 
+	/* Start with the empty list */
+	Node* head = NULL; 
+	
+	// Insert 6. So linked list becomes 6->NULL 
+	append(&head, 6); 
+	
+	// Insert 7 at the beginning. 
+	// So linked list becomes 7->6->NULL 
+	push(&head, 7); 
+	
+	// Insert 1 at the beginning. 
+	// So linked list becomes 1->7->6->NULL 
+	push(&head, 1); 
+	
+	// Insert 4 at the end. So 
+	// linked list becomes 1->7->6->4->NULL 
+	append(&head, 4); 
+	
+	// Insert 8, after 7. So linked 
+	// list becomes 1->7->8->6->4->NULL 
+	insertAfter(head->next, 8); 
+	
+	cout<<"Created Linked list is: "; 
+	printList(head); 
+	
+	return 0; 
+} 
+
+
+// This code is contributed by rathbhupendra 
diff --git a/snake_game.cpp b/snake_game.cpp
new file mode 100644
index 00000000..194ba3c2
--- /dev/null
+++ b/snake_game.cpp
@@ -0,0 +1,153 @@
+#include <iostream>
+#include <conio.h>
+#include <windows.h>
+using namespace std;
+bool gameOver;
+const int width = 20;
+const int height = 20;
+int x, y, fruitX, fruitY, score;
+int tailX[100], tailY[100];
+int nTail;
+enum eDirecton { STOP = 0, LEFT, RIGHT, UP, DOWN};
+eDirecton dir;
+void Setup()
+{
+	gameOver = false;
+	dir = STOP;
+	x = width / 2;
+	y = height / 2;
+	fruitX = rand() % width;
+	fruitY = rand() % height;
+	score = 0;
+}
+void Draw()
+{
+	system("cls"); //system("clear");
+	for (int i = 0; i < width+2; i++)
+		cout << "-";
+	cout << endl;
+
+	for (int i = 0; i < height; i++)
+	{
+		for (int j = 0; j < width; j++)
+		{
+			if (j == 0)
+				cout << "|";
+			if (i == y && j == x)
+				cout << "O";
+			else if (i == fruitY && j == fruitX)
+				cout << "*";
+			else
+			{
+				bool print = false;
+				for (int k = 0; k < nTail; k++)
+				{
+					if (tailX[k] == j && tailY[k] == i)
+					{
+						cout << "O";
+						print = true;
+					}
+				}
+				if (!print)
+					cout << " ";
+			}
+				
+
+			if (j == width - 1)
+				cout << "|";
+		}
+		cout << endl;
+	}
+
+	for (int i = 0; i < width+2; i++)
+		cout << "-";
+	cout << endl;
+	cout<<"Saanp ka Khel"<<endl;
+	cout << "Score:" << score << endl;
+}
+void Input()
+{
+	if (_kbhit())
+	{
+		switch (_getch())
+		{
+		case 'a':
+			dir = LEFT;
+			break;
+		case 'd':
+			dir = RIGHT;
+			break;
+		case 'w':
+			dir = UP;
+			break;
+		case 's':
+			dir = DOWN;
+			break;
+		case 'x':
+			gameOver = true;
+			break;
+		}
+	}
+}
+void Logic()
+{
+	int prevX = tailX[0];
+	int prevY = tailY[0];
+	int prev2X, prev2Y;
+	tailX[0] = x;
+	tailY[0] = y;
+	for (int i = 1; i < nTail; i++)
+	{
+		prev2X = tailX[i];
+		prev2Y = tailY[i];
+		tailX[i] = prevX;
+		tailY[i] = prevY;
+		prevX = prev2X;
+		prevY = prev2Y;
+	}
+	switch (dir)
+	{
+	case LEFT:
+		x--;
+		break;
+	case RIGHT:
+		x++;
+		break;
+	case UP:
+		y--;
+		break;
+	case DOWN:
+		y++;
+		break;
+	default:
+		break;
+	}
+	//if (x > width || x < 0 || y > height || y < 0)
+	//	gameOver = true;
+	if (x >= width) x = 0; else if (x < 0) x = width - 1;
+	if (y >= height) y = 0; else if (y < 0) y = height - 1;
+
+	for (int i = 0; i < nTail; i++)
+		if (tailX[i] == x && tailY[i] == y)
+			gameOver = true;
+
+	if (x == fruitX && y == fruitY)
+	{
+		score += 10;
+		fruitX = rand() % width;
+		fruitY = rand() % height;
+		nTail++;
+	}
+}
+int main()
+{
+	Setup();
+	while (!gameOver)
+	{
+		Draw();
+		Input();
+		Logic();
+		//Sleep(10); //sleep(10);
+	}
+	return 0;
+}
diff --git a/stack-implementtation.py b/stack-implementtation.py
new file mode 100644
index 00000000..d18fa847
--- /dev/null
+++ b/stack-implementtation.py
@@ -0,0 +1,10 @@
+# Python code to demonstrate Implementing 
+# stack using list 
+stack = ["Amar", "Akbar", "Anthony"] 
+stack.append("Ram") 
+stack.append("Iqbal") 
+print(stack) 
+print(stack.pop()) 
+print(stack) 
+print(stack.pop()) 
+print(stack) 
diff --git a/stairCaseSearch.cpp b/stairCaseSearch.cpp
new file mode 100644
index 00000000..669a1c74
--- /dev/null
+++ b/stairCaseSearch.cpp
@@ -0,0 +1,50 @@
+#include<iostream>
+using namespace std;
+int stairCaseSearch(int a[][100],int R, int C, int key)
+{
+    int i=0,j=C-1;
+    while(i<R && j>=0)
+    {
+        if(a[i][j]==key)
+        {
+            //cout<<"Found at position "<<i<<" "<<j<<endl;
+            return 1;
+
+        }
+        if(a[i][j]>key)
+        {
+            j--;
+
+        }
+        else
+        {
+            i++;
+        }
+
+    }
+    //<<"Element not found";
+    return 0;
+
+}
+int main()
+{
+    int arr[100][100],R,C,NUM,ch;
+    cin>>R>>C;
+
+
+
+    for(int i=0; i<R; i++)
+    {
+        for(int j=0; j<C; j++)
+        {
+            cin>>arr[i][j];
+
+        }
+    }
+    cin>>NUM;
+    ch=stairCaseSearch(arr,R,C,NUM);
+    cout<<ch;
+
+    return 0;
+
+}
diff --git a/studentstructure.cpp b/studentstructure.cpp
new file mode 100644
index 00000000..eb32162b
--- /dev/null
+++ b/studentstructure.cpp
@@ -0,0 +1,55 @@
+#include <iostream>
+using namespace std;
+
+struct student
+{
+    char name[50];
+    int roll;
+    float marks1;
+    float marks2;
+    float marks3;
+} s[5];
+
+int main()
+{
+	int x;
+    cout << "Enter information of students: " << endl;
+
+    // storing information
+    for(int i = 0; i < 5; ++i)
+    {
+        
+        cout << "For roll number" <<endl;
+        cin>>s[i].roll ;
+
+        cout << "Enter name: ";
+        cin >> s[i].name;
+
+        cout << "Enter marks1: ";
+        cin >> s[i].marks1;
+        cout << "Enter marks2: ";
+        cin >> s[i].marks2;
+        cout << "Enter marks3: ";
+        cin >> s[i].marks3;
+
+        cout << endl;
+    }
+
+    cout << "Displaying Information: " << endl;
+
+    // Displaying information
+    for(int i = 0; i < 5; ++i)
+    {
+    	x=(s[i].marks1+s[i].marks2+s[i].marks3);
+        cout << "\nRoll number: " << s[i].roll << endl;
+        cout << "Name: " << s[i].name << endl;
+        cout << "Marks1: " << s[i].marks1 << endl;
+        cout << "Marks2: " << s[i].marks2 << endl;
+        cout << "Marks3: " << s[i].marks3 << endl;
+        cout <<"total marks:"<<x<<endl;
+        cout<<"percentage:"<<x/3<<endl;
+    }
+
+    return 0;
+}
+
diff --git a/ternary search.c b/ternary search.c
new file mode 100644
index 00000000..bc06c0b1
--- /dev/null
+++ b/ternary search.c	
@@ -0,0 +1,85 @@
+// C program to illustrate 
+// recursive approach to ternary search 
+
+#include <stdio.h> 
+
+// Function to perform Ternary Search 
+int ternarySearch(int l, int r, int key, int ar[]) 
+{ 
+	if (r >= l) { 
+
+		// Find the mid1 and mid2 
+		int mid1 = l + (r - l) / 3; 
+		int mid2 = r - (r - l) / 3; 
+
+		// Check if key is present at any mid 
+		if (ar[mid1] == key) { 
+			return mid1; 
+		} 
+		if (ar[mid2] == key) { 
+			return mid2; 
+		} 
+
+		// Since key is not present at mid, 
+		// check in which region it is present 
+		// then repeat the Search operation 
+		// in that region 
+
+		if (key < ar[mid1]) { 
+
+			// The key lies in between l and mid1 
+			return ternarySearch(l, mid1 - 1, key, ar); 
+		} 
+		else if (key > ar[mid2]) { 
+
+			// The key lies in between mid2 and r 
+			return ternarySearch(mid2 + 1, r, key, ar); 
+		} 
+		else { 
+
+			// The key lies in between mid1 and mid2 
+			return ternarySearch(mid1 + 1, mid2 - 1, key, ar); 
+		} 
+	} 
+
+	// Key not found 
+	return -1; 
+} 
+
+// Driver code 
+int main() 
+{ 
+	int l, r, p, key; 
+
+	// Get the array 
+	// Sort the array if not sorted 
+	int ar[] = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }; 
+
+	// Starting index 
+	l = 0; 
+
+	// length of array 
+	r = 9; 
+
+	// Checking for 5 
+
+	// Key to be searched in the array 
+	key = 5; 
+
+	// Search the key using ternarySearch 
+	p = ternarySearch(l, r, key, ar); 
+
+	// Print the result 
+	printf("Index of %d is %d\n", key, p); 
+
+	// Checking for 50 
+
+	// Key to be searched in the array 
+	key = 50; 
+
+	// Search the key using ternarySearch 
+	p = ternarySearch(l, r, key, ar); 
+
+	// Print the result 
+	printf("Index of %d is %d", key, p); 
+} 
diff --git a/tictactoe.cpp b/tictactoe.cpp
new file mode 100644
index 00000000..a06c4a91
--- /dev/null
+++ b/tictactoe.cpp
@@ -0,0 +1,146 @@
+#include <iostream>
+using namespace std;
+
+//initialising array
+char square[10] = {'o','1','2','3','4','5','6','7','8','9'};
+
+int checkwin();
+void board();
+
+int main()
+{
+	int player = 1,i,choice;
+
+    char mark;
+    do
+    {
+        board();
+        player=(player%2)?1:2;
+
+        cout << "Player " << player << ", enter a number:  ";
+        cin >> choice;
+
+        mark=(player == 1) ? 'X' : 'O';
+
+        if (choice == 1 && square[1] == '1')
+
+            square[1] = mark;
+        else if (choice == 2 && square[2] == '2')
+
+            square[2] = mark;
+        else if (choice == 3 && square[3] == '3')
+
+            square[3] = mark;
+        else if (choice == 4 && square[4] == '4')
+
+            square[4] = mark;
+        else if (choice == 5 && square[5] == '5')
+
+            square[5] = mark;
+        else if (choice == 6 && square[6] == '6')
+
+            square[6] = mark;
+        else if (choice == 7 && square[7] == '7')
+
+            square[7] = mark;
+        else if (choice == 8 && square[8] == '8')
+
+            square[8] = mark;
+        else if (choice == 9 && square[9] == '9')
+
+            square[9] = mark;
+        else
+        {
+            cout<<"Invalid move ";
+
+            player--;
+            cin.ignore();
+            cin.get();
+        }
+        i=checkwin();
+
+        player++;
+    }while(i==-1);
+    board();
+    if(i==1)
+
+        cout<<"==>\aPlayer "<<--player<<" win ";
+    else
+        cout<<"==>\aGame draw";
+
+    cin.ignore();
+    cin.get();
+    return 0;
+}
+
+/*
+    FUNCTION TO RETURN GAME STATUS
+    1 FOR GAME IS OVER WITH RESULT
+    -1 FOR GAME IS IN PROGRESS
+    O GAME IS OVER AND NO RESULT
+*/
+
+int checkwin()
+{
+    if (square[1] == square[2] && square[2] == square[3])
+
+        return 1;
+    else if (square[4] == square[5] && square[5] == square[6])
+
+        return 1;
+    else if (square[7] == square[8] && square[8] == square[9])
+
+        return 1;
+    else if (square[1] == square[4] && square[4] == square[7])
+
+        return 1;
+    else if (square[2] == square[5] && square[5] == square[8])
+
+        return 1;
+    else if (square[3] == square[6] && square[6] == square[9])
+
+        return 1;
+    else if (square[1] == square[5] && square[5] == square[9])
+
+        return 1;
+    else if (square[3] == square[5] && square[5] == square[7])
+
+        return 1;
+    else if (square[1] != '1' && square[2] != '2' && square[3] != '3' 
+                    && square[4] != '4' && square[5] != '5' && square[6] != '6' 
+                  && square[7] != '7' && square[8] != '8' && square[9] != '9')
+
+        return 0;
+    else
+        return -1;
+}
+
+
+/*
+     FUNCTION TO DRAW BOARD OF TIC TAC TOE WITH PLAYERS MARK
+*/
+
+
+void board()
+{
+    system("cls");
+    cout << "\n\n\tTic Tac Toe\n\n";
+
+    cout << "Player 1 (X)  -  Player 2 (O)" << endl << endl;
+    cout << endl;
+
+    cout << "     |     |     " << endl;
+    cout << "  " << square[1] << "  |  " << square[2] << "  |  " << square[3] << endl;
+
+    cout << "_____|_____|_____" << endl;
+    cout << "     |     |     " << endl;
+
+    cout << "  " << square[4] << "  |  " << square[5] << "  |  " << square[6] << endl;
+
+    cout << "_____|_____|_____" << endl;
+    cout << "     |     |     " << endl;
+
+    cout << "  " << square[7] << "  |  " << square[8] << "  |  " << square[9] << endl;
+
+    cout << "     |     |     " << endl << endl;
+}
diff --git a/tree traversal using c b/tree traversal using c
new file mode 100644
index 00000000..fdaa3eae
--- /dev/null
+++ b/tree traversal using c	
@@ -0,0 +1,118 @@
+//Binary tree traversal:
+ 
+#include <stdio.h>
+#include <conio.h>
+#include <malloc.h>
+struct node
+{
+    struct node *left;
+    int data;
+    struct node *right;
+};
+ 
+void main()
+{
+    void insert(struct node **,int);
+    void inorder(struct node *);
+    void postorder(struct node *);
+    void preorder(struct node *);
+ 
+    struct node *ptr;
+    int no,i,num;
+ 
+    ptr = NULL;
+    ptr->data=NULL;
+    clrscr();
+ 
+    printf("\nProgram for Tree Traversal\n");
+    printf("Enter the number of nodes to add to the tree.<BR>\n");
+    scanf("%d",&no);
+ 
+    for(i=0;i<no;i++)
+    {
+        printf("Enter the item\n");
+        scanf("%d",&num);
+        insert(&ptr,num);
+    }
+ 
+    //getch();
+    printf("\nINORDER TRAVERSAL\n");
+    inorder(ptr);
+ 
+    printf("\nPREORDER TRAVERSAL\n");
+    preorder(ptr);
+ 
+    printf("\nPOSTORDER TRAVERSAL\n");
+    postorder(ptr);
+ 
+    getch();
+}
+ 
+void insert(struct node **p,int num)
+{
+    if((*p)==NULL)
+    {
+        printf("Leaf node created.");
+        (*p)=malloc(sizeof(struct node));
+        (*p)->left = NULL;
+        (*p)->right = NULL;
+        (*p)->data = num;
+        return;
+    }
+    else
+    {
+        if(num==(*p)->data)
+        {
+            printf("\nREPEATED ENTRY ERROR VALUE REJECTED\n");
+            return;
+        }
+        if(num<(*p)->data)
+        {
+            printf("\nDirected to left link.\n");
+            insert(&((*p)->left),num);
+        }
+        else
+        {
+            printf("Directed to right link.\n");
+            insert(&((*p)->right),num);
+        }
+    }
+    return;
+}
+ 
+void inorder(struct node *p)
+{
+    if(p!=NULL)
+    {
+        inorder(p->left);
+        printf("\nData :%d",p->data);
+        inorder(p->right);
+    }
+    else
+    return;
+}
+ 
+void preorder(struct node *p)
+{
+    if(p!=NULL)
+    {
+        printf("\nData :%d",p->data);
+        preorder(p->left);
+        preorder(p->right);
+    }
+    else
+    return;
+}
+ 
+void postorder(struct node *p)
+{
+    if(p!=NULL)
+    {
+        postorder(p->left);
+        postorder(p->right);
+        printf("\nData :%d",p->data);
+    }
+    else
+    return;
+}
+ 
diff --git a/tree traverse.txt b/tree traverse.txt
new file mode 100644
index 00000000..e69de29b
diff --git a/tree-traversal.java b/tree-traversal.java
new file mode 100644
index 00000000..d30c6aca
--- /dev/null
+++ b/tree-traversal.java
@@ -0,0 +1,100 @@
+// Java program for different tree traversals 
+
+/* Class containing left and right child of current 
+node and key value*/
+class Node 
+{ 
+	int key; 
+	Node left, right; 
+
+	public Node(int item) 
+	{ 
+		key = item; 
+		left = right = null; 
+	} 
+} 
+
+class BinaryTree 
+{ 
+	// Root of Binary Tree 
+	Node root; 
+
+	BinaryTree() 
+	{ 
+		root = null; 
+	} 
+
+	/* Given a binary tree, print its nodes according to the 
+	"bottom-up" postorder traversal. */
+	void printPostorder(Node node) 
+	{ 
+		if (node == null) 
+			return; 
+
+		// first recur on left subtree 
+		printPostorder(node.left); 
+
+		// then recur on right subtree 
+		printPostorder(node.right); 
+
+		// now deal with the node 
+		System.out.print(node.key + " "); 
+	} 
+
+	/* Given a binary tree, print its nodes in inorder*/
+	void printInorder(Node node) 
+	{ 
+		if (node == null) 
+			return; 
+
+		/* first recur on left child */
+		printInorder(node.left); 
+
+		/* then print the data of node */
+		System.out.print(node.key + " "); 
+
+		/* now recur on right child */
+		printInorder(node.right); 
+	} 
+
+	/* Given a binary tree, print its nodes in preorder*/
+	void printPreorder(Node node) 
+	{ 
+		if (node == null) 
+			return; 
+
+		/* first print data of node */
+		System.out.print(node.key + " "); 
+
+		/* then recur on left sutree */
+		printPreorder(node.left); 
+
+		/* now recur on right subtree */
+		printPreorder(node.right); 
+	} 
+
+	// Wrappers over above recursive functions 
+	void printPostorder() {	 printPostorder(root); } 
+	void printInorder() {	 printInorder(root); } 
+	void printPreorder() {	 printPreorder(root); } 
+
+	// Driver method 
+	public static void main(String[] args) 
+	{ 
+		BinaryTree tree = new BinaryTree(); 
+		tree.root = new Node(1); 
+		tree.root.left = new Node(2); 
+		tree.root.right = new Node(3); 
+		tree.root.left.left = new Node(4); 
+		tree.root.left.right = new Node(5); 
+
+		System.out.println("Preorder traversal of binary tree is "); 
+		tree.printPreorder(); 
+
+		System.out.println("\nInorder traversal of binary tree is "); 
+		tree.printInorder(); 
+
+		System.out.println("\nPostorder traversal of binary tree is "); 
+		tree.printPostorder(); 
+	} 
+} 
diff --git a/tree.c b/tree.c
new file mode 100644
index 00000000..b43e703b
--- /dev/null
+++ b/tree.c
@@ -0,0 +1,139 @@
+include <stdio.h>
+#include <stdlib.h>
+
+struct node {
+   int data;
+
+   struct node *lChild;
+   struct node *rChild;
+};
+
+struct node *root = NULL;
+
+void insert(int data) {
+   struct node *tempNode = (struct node*) malloc(sizeof(struct node));
+   struct node *current;
+   struct node *parent;
+
+   tempNode->data = data;
+   tempNode->lChild = NULL;
+   tempNode->rChild = NULL;
+
+   
+   if(root == NULL) {
+      root = tempNode;
+   } else {
+      current = root;
+      parent = NULL;
+
+      while(1) {
+         parent = current;
+         if(data < parent->data) {
+            current = current->lChild;
+
+            if(current == NULL) {
+               parent->lChild = tempNode;
+               return;
+            }
+         }
+         else {
+            current = current->rChild;
+
+
+            if(current == NULL) {
+               parent->rChild = tempNode;
+               return;
+            }
+         }
+      }
+   }
+}
+
+struct node* search(int data) {
+   struct node *current = root;
+   printf("Visiting elements: ");
+
+   while(current->data != data) {
+      if(current != NULL)
+         printf("%d ",current->data);
+
+
+      if(current->data > data) {
+         current = current->lChild;
+      }
+
+      else {
+         current = current->rChild;
+      }
+
+
+      if(current == NULL) {
+         return NULL;
+      }
+   }
+
+   return current;
+}
+
+void pre_order_traversal(struct node* root) {
+   if(root != NULL) {
+      printf("%d ",root->data);
+      pre_order_traversal(root->lChild);
+      pre_order_traversal(root->rChild);
+   }
+}
+
+void inorder_traversal(struct node* root) {
+   if(root != NULL) {
+      inorder_traversal(root->lChild);
+      printf("%d ",root->data);
+      inorder_traversal(root->rChild);
+   }
+}
+
+void post_order_traversal(struct node* root) {
+   if(root != NULL) {
+      post_order_traversal(root->lChild);
+      post_order_traversal(root->rChild);
+      printf("%d ", root->data);
+   }
+}
+
+int main() {
+   int i;
+   int array[7] = { 29, 14, 32, 8, 19, 30, 42 };
+
+   for(i = 0; i < 7; i++)
+      insert(array[i]);
+
+   i = 31;
+   struct node * temp = search(i);
+
+   if(temp != NULL) {
+      printf("[%d] Element found.", temp->data);
+      printf("\n");
+   }else {
+      printf("[ x ] Element not found (%d).\n", i);
+   }
+
+   i = 15;
+   temp = search(i);
+
+   if(temp != NULL) {
+      printf("[%d] Element found.", temp->data);
+      printf("\n");
+   }else {
+      printf("[ x ] Element not found (%d).\n", i);
+   }
+
+   printf("\nPreorder traversal: ");
+   pre_order_traversal(root);
+
+   printf("\nInorder traversal: ");
+   inorder_traversal(root);
+
+   printf("\nPost order traversal: ");
+   post_order_traversal(root);
+
+   return 0;
+}
diff --git a/tree_traversal.c b/tree_traversal.c
new file mode 100644
index 00000000..85503897
--- /dev/null
+++ b/tree_traversal.c
@@ -0,0 +1,149 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <stdbool.h>
+
+typedef struct node
+{
+    int data;
+    struct node *left;
+    struct node *right;
+} Node;
+
+typedef struct tree
+{
+    Node *root;
+} Tree;
+
+void tree_initialize(Tree *tree);
+void tree_insert(Tree *tree, int data);
+Node* create_Node(int data);
+void inorder(Tree *tree);
+void preorder(Tree *tree);
+void postorder(Tree *tree);
+Node* rec_Insert_Node(Node *root, int data);
+
+void tree_destroy(Tree *tree);
+
+int main()
+{
+    int choice, loop = 1;
+    Tree my_tree;
+    tree_initialize(&my_tree);
+    while (loop)
+    {
+        scanf("%d", &choice);
+        switch (choice)
+        {
+            int number_of_elements, element, index;
+            int data;
+        case 1:
+            /* Insert elements */
+            scanf("%d", &element);
+            tree_insert(&my_tree, element);
+            break;
+        case 2:
+            /* Print elements in the inorder fashion */
+            preorder(&my_tree);
+            break;
+        case 3:
+            /* Print elements in the preorder fashion */
+            inorder(&my_tree);
+            break;
+        case 4:
+            /* Print elements in the postorder fashion */
+            postorder(&my_tree);
+            break;
+        default:
+            tree_destroy(&my_tree);
+            loop = 0;
+            break;
+        }
+    }
+    return 0;
+}
+void tree_initialize(Tree *tree)
+{
+    tree->root=NULL;
+}
+
+Node* create_Node(int data){
+    Node *new = (Node *)malloc(sizeof(Node));
+    new->data = data;
+    new->left = new->right = NULL;
+
+    return new;
+}
+
+Node* rec_Insert_Node(Node *root, int data){
+    Node *new = create_Node(data);
+
+    if (root == NULL){
+        root = new;
+    }
+    else if (root->data > new->data){
+        root->left = rec_Insert_Node(root->left, data);
+    }
+    else if (root->data < new->data){
+        root->right = rec_Insert_Node(root->right, data);
+    }
+    return root;
+}
+
+void tree_insert(Tree *tree, int data){
+    tree->root=rec_Insert_Node(tree->root, data);
+}
+
+void tree_inorder(Node *r)
+{
+    if(r!=NULL){
+        tree_inorder(r->left);
+        printf("%d ",r->data);
+        tree_inorder(r->right);
+    }
+}
+
+void tree_preorder(Node *r)
+{
+    if (r != NULL){
+        printf("%d ", r->data);
+        tree_preorder(r->left);
+        tree_preorder(r->right);
+    }
+}
+
+void tree_postorder(Node *r)
+{
+    if (r != NULL){
+        tree_postorder(r->left);
+        tree_postorder(r->right);
+        printf("%d ", r->data);
+    }
+}
+
+void postorder(Tree *t)
+{
+    tree_postorder(t->root);
+    printf("\n");
+}
+
+void preorder(Tree *t)
+{
+    tree_preorder(t->root);
+    printf("\n");
+}
+
+void inorder(Tree *t)
+{
+    tree_inorder(t->root);
+    printf("\n");
+}
+
+void destroy(Node *r)
+{
+    r=NULL;
+}
+
+void tree_destroy(Tree *t)
+{
+    destroy(t->root);
+}
diff --git a/weightedjobscheduling.cpp b/weightedjobscheduling.cpp
new file mode 100644
index 00000000..d561e9ad
--- /dev/null
+++ b/weightedjobscheduling.cpp
@@ -0,0 +1,76 @@
+// C++ program for weighted job scheduling using Naive Recursive Method 
+#include<bits/stdc++.h>
+#include <iostream> 
+#include <algorithm> 
+using namespace std; 
+
+// A job has start time, finish time and profit. 
+struct Job 
+{ 
+	int start, finish, profit; 
+}; 
+
+// A utility function that is used for sorting events 
+// according to finish time 
+bool jobComparataor(Job s1, Job s2) 
+{ 
+	return (s1.finish < s2.finish); 
+} 
+
+// Find the latest job (in sorted array) that doesn't 
+// conflict with the job[i]. If there is no compatible job, 
+// then it returns -1. 
+int latestNonConflict(Job arr[], int i) 
+{ 
+	for (int j=i-1; j>=0; j--) 
+	{ 
+		if (arr[j].finish <= arr[i-1].start) 
+			return j; 
+	} 
+	return -1; 
+} 
+
+// A recursive function that returns the maximum possible 
+// profit from given array of jobs. The array of jobs must 
+// be sorted according to finish time. 
+int findMaxProfitRec(Job arr[], int n) 
+{ 
+	// Base case 
+	if (n == 1) return arr[n-1].profit; 
+
+	// Find profit when current job is inclueded 
+	int inclProf = arr[n-1].profit; 
+  
+	int i = latestNonConflict(arr, n);
+  
+	if (i != -1) {
+	inclProf += findMaxProfitRec(arr, i+1); 
+  }
+
+	// Find profit when current job is excluded 
+	int exclProf = findMaxProfitRec(arr, n-1); 
+
+	return max(inclProf, exclProf); 
+} 
+
+// The main function that returns the maximum possible  profit from given array of jobs 
+
+
+int findMaxProfit(Job arr[], int n) 
+{ 
+	// Sort jobs according to finish time 
+	sort(arr, arr+n, jobComparataor); 
+
+	return findMaxProfitRec(arr, n); 
+} 
+
+
+// Driver program 
+int main() 
+{ 
+  Job arr[] = {{3, 10, 20}, {1, 2, 50}, {6, 19, 100}, {2, 100, 200}}; 
+	int n = sizeof(arr)/sizeof(arr[0]); 
+	cout << "The optimal profit is " << findMaxProfit(arr, n); 
+  
+	return 0; 
+}