static void printSumTricky ( int mat [ ] [ ] , int k ) {
  if ( k > n ) return ;
  int stripSum [ ] [ ] = new int [ n ] [ n ] ;
  for ( int j = 0 ;
  j < n ;
  j ++ ) {
    int sum = 0 ;
    for ( int i = 0 ;
    i < k ;
    i ++ ) sum += mat [ i ] [ j ] ;
    stripSum [ 0 ] [ j ] = sum ;
    for ( int i = 1 ;
    i < n - k + 1 ;
    i ++ ) {
      sum += ( mat [ i + k - 1 ] [ j ] - mat [ i - 1 ] [ j ] ) ;
      stripSum [ i ] [ j ] = sum ;
    }
  }
  for ( int i = 0 ;
  i < n - k + 1 ;
  i ++ ) {
    int sum = 0 ;
    for ( int j = 0 ;
    j < k ;
    j ++ ) sum += stripSum [ i ] [ j ] ;
    System . out . print ( sum + " " ) ;
    for ( int j = 1 ;
    j < n - k + 1 ;
    j ++ ) {
      sum += ( stripSum [ i ] [ j + k - 1 ] - stripSum [ i ] [ j - 1 ] ) ;
      System . out . print ( sum + " " ) ;
    }
    System . out . println ( ) ;
  }
}

static void printSumTricky ( int mat [ ] [ ] , int k ) { if ( k > n ) return ; int stripSum [ ] [ ] = new int [ n ] [ n ] ; for ( int j = 0 ; j < n ; j ++ ) { int sum = 0 ; for ( int i = 0 ; i < k ; i ++ ) sum += mat [ i ] [ j ] ; stripSum [ 0 ] [ j ] = sum ; for ( int i = 1 ; i < n - k + 1 ; i ++ ) { sum += ( mat [ i + k - 1 ] [ j ] - mat [ i - 1 ] [ j ] ) ; stripSum [ i ] [ j ] = sum ; } } for ( int i = 0 ; i < n - k + 1 ; i ++ ) { int sum = 0 ; for ( int j = 0 ; j < k ; j ++ ) sum += stripSum [ i ] [ j ] ; System . out . print ( sum + " ▁ " ) ; for ( int j = 1 ; j < n - k + 1 ; j ++ ) { sum += ( stripSum [ i ] [ j + k - 1 ] - stripSum [ i ] [ j - 1 ] ) ; System . out . print ( sum + " ▁ " ) ; } System . out . println ( ) ; } }
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