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Create min_insertion_for_palindrome.cpp #733

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Create min_insertion_for_palindrome.cpp #733

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22 changes: 22 additions & 0 deletions Dynamic_Programming/min_insertion_for_palindrome.cpp
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// A Dynamic Programming based program to find
// minimum number insertions needed to make a
// string palindrome
#include <bits/stdc++.h>
using namespace std;


int findMinInsertionsDP(char str[], int n)
{
int table[n][n], l, h, gap;

memset(table, 0, sizeof(table));

for (gap = 1; gap < n; ++gap)
for (l = 0, h = gap; h < n; ++l, ++h)
table[l][h] = (str[l] == str[h])?
table[l + 1][h - 1] :
(min(table[l][h - 1],
table[l + 1][h]) + 1);

return table[0][n - 1];
}