static int pathCountDPRecDP ( int [ ] [ ] mat , int m , int n , int k ) {
  if ( m < 0 || n < 0 ) return 0 ;
  if ( m == 0 && n == 0 ) return ( k == mat [ m ] [ n ] ? 1 : 0 ) ;
  if ( dp [ m ] [ n ] [ k ] != - 1 ) return dp [ m ] [ n ] [ k ] ;
  dp [ m ] [ n ] [ k ] = pathCountDPRecDP ( mat , m - 1 , n , k - mat [ m ] [ n ] ) + pathCountDPRecDP ( mat , m , n - 1 , k - mat [ m ] [ n ] ) ;
  return dp [ m ] [ n ] [ k ] ;
}

static int pathCountDPRecDP ( int [ ] [ ] mat , int m , int n , int k ) { if ( m < 0 || n < 0 ) return 0 ; if ( m == 0 && n == 0 ) return ( k == mat [ m ] [ n ] ? 1 : 0 ) ; if ( dp [ m ] [ n ] [ k ] != - 1 ) return dp [ m ] [ n ] [ k ] ; dp [ m ] [ n ] [ k ] = pathCountDPRecDP ( mat , m - 1 , n , k - mat [ m ] [ n ] ) + pathCountDPRecDP ( mat , m , n - 1 , k - mat [ m ] [ n ] ) ; return dp [ m ] [ n ] [ k ] ; }
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