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41 changes: 41 additions & 0 deletions LongestBitonicSequence.py
Original file line number Diff line number Diff line change
@@ -0,0 +1,41 @@
answer = []
def index_ceiling(arr,T, left,right, key):
while (right - left > 1):
mid = left + (right - left) // 2;
if (arr[T[mid]] >= key):
right = mid
else:
left = mid
return right
def long_inc_seq(A):
n = len(A)
tails_idx = [0]*(n)
prev_idx = [-1]*(n)
length = 1
for i in range(1, n):
if (A[i] < A[tails_idx[0]]):
tails_idx[0] = i
elif (A[i] > A[tails_idx[length - 1]]):
prev_idx[i] = tails_idx[length - 1]
tails_idx[length] = i
length += 1
else:
pos = index_ceiling(A, tails_idx, -1, length - 1, A[i])
prev_idx[i] = tails_idx[pos - 1]
tails_idx[pos] = i
i = tails_idx[length - 1]
while(i >= 0):
answer.append(A[i])
i = prev_idx[i]
def long_bitonic(A,B):
n1 = len(A)
n2 = len(B)
global answer
long_inc_seq(A)
answer = answer[::-1]
B = B[::-1]
long_inc_seq(B)
A = [2, 6, 3, 5, 4, 6]
B = [9, 7, 5, 8, 4, 3]
long_bitonic(A,B)
print(answer)
16 changes: 16 additions & 0 deletions LongestPalindromicSubsequence.py
Original file line number Diff line number Diff line change
@@ -0,0 +1,16 @@
def longestPalindromeSubseq(self, s: str) -> int:
n = len(s)
dp = [[0]*(n) for _ in range(n) ]

for i in range(n):
dp[i][i] = 1


for i in range(n-1, -1, -1):
for j in range(i+1, n):
if s[i]==s[j]:
dp[i][j] = dp[i+1][j-1]+2
else:
dp[i][j] = max(dp[i][j-1], dp[i+1][j])

return dp[0][-1]