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Longest Palindromic Sub-sequence #235

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mitali004
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ISSUE NUMBER

117

SHORT DESCRIPTION

Added the code for longest palindromic subsequence along with a readme.md for it.


### Filling of the matrix
Every single charecter contributes to a palindromic string of length 1 starting and ending at itself, therefore we fill the diagonal of the
matrix with 1 for every [i][i] entry. <br/><br/>
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make like this [i][i]

For every other entry:<br/>
If last and first characters of str are same, then mat[i][j] = mat[i+1][j-1] + 2, as it considers [2(for the first and the last chaar)] +
[longest palindromic subsequence between these 2 chars].<br/>
Else mat[i][j] = max(mat[i][j-1], mat[i+1][j]).
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similarly add ` before and after

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