title: Count Palindromic Subsequence Given String
signature: function countPalindromicSubsequenceGivenString(str) {
source_py: def count_palindromic_subsequence_given_string(str):
      N = len(str)
      cps = [[0 for i in range((N + 2))] for j in range((N + 2))]
      for i in range(N):
          cps[i][i] = 1
      for L in range(2, (N + 1)):
          for i in range(N):
              k = ((L + i) - 1)
              if (k < N):
                  if (str[i] == str[k]):
                      cps[i][k] = ((cps[i][(k - 1)] + cps[(i + 1)][k]) + 1)
                  else:
                      cps[i][k] = ((cps[i][(k - 1)] + cps[(i + 1)][k]) - cps[(i + 1)][(k - 1)])
      return cps[0][(N - 1)]
source_cpp: int count_palindromic_subsequence_given_string(string str) {
    int N = str . length ( );
    int cps [ N + 1 ] [ N + 1 ];
    memset ( cps, 0, sizeof ( cps ) );
    for ( int i = 0;
    i < N;
    i ++ ) cps [ i ] [ i ] = 1;
    for ( int L = 2;
    L <= N;
    L ++ ) {
      for ( int i = 0;
      i < N;
      i ++ ) {
        int k = L + i - 1;
        if ( str [ i ] == str [ k ] ) cps [ i ] [ k ] = cps [ i ] [ k - 1 ] + cps [ i + 1 ] [ k ] + 1;
        else cps [ i ] [ k ] = cps [ i ] [ k - 1 ] + cps [ i + 1 ] [ k ] - cps [ i + 1 ] [ k - 1 ];
      }
    }
    return cps [ 0 ] [ N - 1 ];
  }