From b82aaa1991d9173522c1e8af4659d241fb3bf412 Mon Sep 17 00:00:00 2001
From: JuhunC <31757586+JuhunC@users.noreply.github.com>
Date: Wed, 25 Jul 2018 21:58:24 +0900
Subject: [PATCH] Update CoinChange.java

Added Coin Combination of Minimum Number of CoinChange
---
 Dynamic Programming/CoinChange.java | 55 +++++++++++++++++++++++++++--
 1 file changed, 53 insertions(+), 2 deletions(-)

diff --git a/Dynamic Programming/CoinChange.java b/Dynamic Programming/CoinChange.java
index f4cda7203b7c..18550c73ea05 100644
--- a/Dynamic Programming/CoinChange.java	
+++ b/Dynamic Programming/CoinChange.java	
@@ -1,7 +1,7 @@
 /**
  *
  * @author Varun Upadhyay (https://github.com/varunu28)
- *
+ * @contributor Choi Ju Hun (https://github.com/JuhunC)
  */
 
 public class CoinChange {
@@ -13,8 +13,59 @@ public static void main(String[] args) {
         int[] coins = {1, 2, 5};
 
         System.out.println("Number of combinations of getting change for " + amount + " is: " + change(coins, amount));
+        System.out.println("Combination is : ");
+        int[] result = minChange(coins,amount);
+        int sum =0;
+        for(int i =0;i<coins.length;i++) {
+        	sum += result[i];
+        	System.out.println(coins[i] + "coin : x" + result[i]);
+        }
+        System.out.println("Min Number of Coins Used for " + amount + " is " + sum);
+    }
+    /**
+     * This method finds minimum amount of Coins
+     * @param coins The List of Coins
+     * @param amount The amount for which we need to find the change
+     * @return Minimum amount of Coins
+     */
+    public static int[] minChange(int[] coins, int amount) {
+    	int coin[] = new int[amount+1];
+    	int comb[][] = new int[amount+1][];
+    	
+    	// set Combination Array
+    	for(int i =0;i<amount+1;i++) {
+    		comb[i] = new int[coins.length];
+    	}
+    	
+    	// Init Combinations
+    	for(int i =0;i<coins.length;i++) {
+    		if(coins[i] <= amount) {
+    			coin[coins[i]] = 1;
+    			comb[coins[i]][i] = 1;
+    		}
+    	}
+    	for(int i =1;i<=amount;i++) {
+    		if(coin[i] != 1) {
+    			coin[i] = i;
+    			comb[i][0] = i;
+    		}
+    	}
+    	
+    	for(int i =1;i<=amount;i++) {
+    		for(int m=0;m<coins.length;m++) {
+    			if(i-coins[m] >= 1) {
+    				if(coin[i-coins[m]]+1 < coin[i]) {
+    					coin[i] = coin[i-coins[m]] +1;
+    					for(int k=0;k<coins.length;k++) {
+    						comb[i][k] = comb[i-coins[m]][k];
+    					}
+    					comb[i][m]++;
+    				}
+    			}
+    		}
+    	}
+    	return comb[amount];
     }
-
     /**
      * This method finds the number of combinations of getting change for a given amount and change coins
      *