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32 changes: 32 additions & 0 deletions dp/palindrome_partitioning.py
Original file line number Diff line number Diff line change
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import sys

def minPalPartion(str1):

n = len(str1);
C = [0]*(n+1);
P = [[False for x in range(n+1)] for y in range(n+1)];

for i in range(n):
P[i][i] = True;

for L in range(2, n + 1):
for i in range(n - L + 1):
j = i + L - 1;

if (L == 2):
P[i][j] = (str1[i] == str1[j]);
else:
P[i][j] = ((str1[i] == str1[j]) and P[i + 1][j - 1]);
for i in range(n):
if (P[0][i] == True):
C[i] = 0;
else:
C[i] = sys.maxsize;
for j in range(i):
if(P[j + 1][i] == True and 1 + C[j] < C[i]):
C[i] = 1 + C[j];

return C[n - 1];

str1 = "ababbbabbababa";
print("Min cuts needed for Palindrome Partitioning is",minPalPartion(str1));