static int countWays ( int index , int cnt , int dp [ ] [ ] , int n , int m , int k ) {
  if ( index == n ) {
    if ( cnt == k ) return 1 ;
    else return 0 ;
  }
  if ( dp [ index ] [ cnt ] != - 1 ) return dp [ index ] [ cnt ] ;
  int ans = 0 ;
  ans += countWays ( index + 1 , cnt , dp , n , m , k ) ;
  ans += ( m - 1 ) * countWays ( index + 1 , cnt + 1 , dp , n , m , k ) ;
  return dp [ index ] [ cnt ] = ans ;
}

static int countWays ( int index , int cnt , int dp [ ] [ ] , int n , int m , int k ) { if ( index == n ) { if ( cnt == k ) return 1 ; else return 0 ; } if ( dp [ index ] [ cnt ] != - 1 ) return dp [ index ] [ cnt ] ; int ans = 0 ; ans += countWays ( index + 1 , cnt , dp , n , m , k ) ; ans += ( m - 1 ) * countWays ( index + 1 , cnt + 1 , dp , n , m , k ) ; return dp [ index ] [ cnt ] = ans ; }
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