static int pathCountDP ( int [ ] [ ] mat , int k ) {
  for ( int i = 0 ;
  i < R ;
  i ++ ) for ( int j = 0 ;
  j < C ;
  j ++ ) for ( int l = 0 ;
  l < MAX_K ;
  l ++ ) dp [ i ] [ j ] [ l ] = - 1 ;
  return pathCountDPRecDP ( mat , R - 1 , C - 1 , k ) ;
}

static int pathCountDP ( int [ ] [ ] mat , int k ) { for ( int i = 0 ; i < R ; i ++ ) for ( int j = 0 ; j < C ; j ++ ) for ( int l = 0 ; l < MAX_K ; l ++ ) dp [ i ] [ j ] [ l ] = - 1 ; return pathCountDPRecDP ( mat , R - 1 , C - 1 , k ) ; }
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