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// 20 by 20 grid.cpp : Defines the entry point for the console application.
//
#include "stdafx.h"
#include <iostream>
using namespace std;
int main()
{
int grid[20][20]=
{
{8, 02, 22, 97, 38, 15, 00, 40, 00, 75, 04, 05, 07, 78, 52, 12, 50, 77, 91, 8,},
{49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 04, 56, 62, 00,},
{81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 03, 49, 13, 36, 65,},
{52, 70, 95, 23, 04, 60, 11, 42, 69, 24, 68, 56, 01, 32, 56, 71, 37, 02, 36, 91,},
{22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80,},
{24, 47, 32, 60, 99, 03, 45, 02, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50,},
{32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70,},
{67, 26, 20, 68, 02, 62, 12, 20, 95, 63, 94, 39, 63, 8, 40, 91, 66, 49, 94, 21,},
{24, 55, 58, 05, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72,},
{21, 36, 23, 9, 75, 00, 76, 44, 20, 45, 35, 14, 00, 61, 33, 97, 34, 31, 33, 95,},
{78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 03, 80, 04, 62, 16, 14, 9, 53, 56, 92,},
{16, 39, 05, 42, 96, 35, 31, 47, 55, 58, 88, 24, 00, 17, 54, 24, 36, 29, 85, 57,},
{86, 56, 00, 48, 35, 71, 89, 07, 05, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58,},
{19, 80, 81, 68, 05, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 04, 89, 55, 40,},
{04, 52, 8, 83, 97, 35, 99, 16, 07, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66,},
{88, 36, 68, 87, 57, 62, 20, 72, 03, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69,},
{04, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 8, 46, 29, 32, 40, 62, 76, 36,},
{20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 04, 36, 16,},
{20, 73, 35, 29, 78, 31, 90, 01, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 05, 54,},
{01, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 01, 89, 19, 67, 48,},
};
long highest = 0;
for(int row = 0; row <= 19; row++)
{
for (int collumn=0; collumn <= 19-4; collumn++)
{
if (grid[row][collumn]*grid[row][collumn+1]*grid[row][collumn+2]*grid[row][collumn+3]>highest)
highest = grid[row][collumn]*grid[row][collumn+1]*grid[row][collumn+2]*grid[row][collumn+3];
}
}
for (int collumn = 0; collumn <= 19; collumn++)
{
for (int row = 0; row <=19-4;row++)
{
if (grid[row][collumn]*grid[row+1][collumn]*grid[row+2][collumn]*grid[row+3][collumn]>highest)
highest = grid[row][collumn]*grid[row+1][collumn]*grid[row+2][collumn]*grid[row+3][collumn];
}
}
for (int row = 16; row >= 1; row--)
{
cout<<row;
for (int collumn = 0, row2 = row; collumn <= 19 - row - 3; collumn++, row++)
{
if (grid[row2][collumn]*grid[row2+1][collumn+1]*grid[row2+2][collumn+2]*grid[row2+3][collumn+3]>highest)
highest = grid[row2][collumn]*grid[row2+1][collumn+1]*grid[row2+2][collumn+2]*grid[row2+3][collumn+3];
}
}
for (int collumn = 0; collumn <= 16; collumn--)
{
for (int row = 0, collumn2 = collumn; row <= 19 - collumn - 3; row++, collumn2++)
{
if (grid[row][collumn2]*grid[row+1][collumn2+1]*grid[row+2][collumn2+2]*grid[row+3][collumn2+3]>highest)
highest = grid[row][collumn2]*grid[row+1][collumn2+1]*grid[row+2][collumn2+2]*grid[row+3][collumn2+3];
}
}
for (int row = 16; row > 0; row--)
{
for (int collumn = 19, row2 = row; collumn >= row +3; row2++, collumn--)
{
if (grid[row2][collumn]*grid[row2-1][collumn-1]*grid[row2-2][collumn-2]*grid[row2-3][collumn-3]>highest)
highest = grid[row2][collumn]*grid[row2-1][collumn-1]*grid[row2-2][collumn-2]*grid[row2-3][collumn-3];
}
}
for (int collumn = 19; collumn >= 3; collumn--)
{
for (int row = 0,collumn2 = collumn; row <= collumn - 3;row++, collumn2--)
{
if (grid[row][collumn2]*grid[row+1][collumn2-1]*grid[row+2][collumn2-2]*grid[row+3][collumn2-3]>highest)
highest = grid[row][collumn2]*grid[row+1][collumn2-1]*grid[row+2][collumn2-2]*grid[row+3][collumn2-3];
}
}
cout<<highest<<endl;
return 0;
}
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