#include <stdio.h>
#include <stdint.h>
#include <stdbool.h>
#define K (4)
#define HEIGHT (20)
#define WIDTH (20)
#define SIZE ((HEIGHT) * (WIDTH))
uint64_t Grid[SIZE] = {
8, 2, 22, 97, 38, 15, 0, 40, 0, 75, 4, 5, 7, 78, 52, 12, 50, 77, 91, 8,
49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 4, 56, 62, 0,
81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 3, 49, 13, 36, 65,
52, 70, 95, 23, 4, 60, 11, 42, 69, 24, 68, 56, 1, 32, 56, 71, 37, 2, 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, 3, 45, 2, 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, 2, 62, 12, 20, 95, 63, 94, 39, 63, 8, 40, 91, 66, 49, 94, 21,
24, 55, 58, 5, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72,
21, 36, 23, 9, 75, 0, 76, 44, 20, 45, 35, 14, 0, 61, 33, 97, 34, 31, 33, 95,
78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 3, 80, 4, 62, 16, 14, 9, 53, 56, 92,
16, 39, 5, 42, 96, 35, 31, 47, 55, 58, 88, 24, 0, 17, 54, 24, 36, 29, 85, 57,
86, 56, 0, 48, 35, 71, 89, 7, 5, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58,
19, 80, 81, 68, 5, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 4, 89, 55, 40,
4, 52, 8, 83, 97, 35, 99, 16, 7, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66,
88, 36, 68, 87, 57, 62, 20, 72, 3, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69,
4, 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, 4, 36, 16,
20, 73, 35, 29, 78, 31, 90, 1, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 5, 54,
1, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 1, 89, 19, 67, 48,
};
// x - horizontal (0-indexed)
// y - veritcal (0-indexed)
uint64_t GridAt(uint64_t x, uint64_t y)
{
uint64_t idx = x + (y * WIDTH);
return Grid[idx];
}
uint64_t Max2(uint64_t a, uint64_t b)
{
return (a > b) ? a : b;
}
uint64_t Max3(uint64_t a, uint64_t b, uint64_t c)
{
uint64_t max = Max2(a, b);
return (max > c) ? max : c;
}
uint64_t Max4(uint64_t a, uint64_t b, uint64_t c, uint64_t d)
{
uint64_t max = Max3(a, b, c);
return (max > d) ? max : d;
}
uint64_t Max5(uint64_t a, uint64_t b, uint64_t c, uint64_t d, uint64_t e)
{
uint64_t max = Max4(a, b, c, d);
return (max > e) ? max : e;
}
uint64_t Max6(uint64_t a, uint64_t b, uint64_t c, uint64_t d, uint64_t e, uint64_t f)
{
uint64_t max = Max5(a, b, c, d, e);
return (max > f) ? max : f;
}
void Solve()
{
uint64_t product = 0;
for (uint64_t w = 0; w < WIDTH; w++)
{
for (uint64_t h = 0; h < HEIGHT; h++)
{
uint64_t up = 0;
uint64_t down = 0;
uint64_t left = 0;
uint64_t right = 0;
uint64_t diag1 = 0;
uint64_t diag2 = 0;
// Edge cases:
bool isUpAvailable = (h >= K - 1);
bool isDownAvailable = (h <= HEIGHT - K);
bool isLeftAvailable = (w >= K - 1);
bool isRightAvailable = (w <= WIDTH - K);
bool isDiag1Available = (isDownAvailable && isRightAvailable);
bool isDiag2Available = (isDownAvailable && isLeftAvailable);
if (isUpAvailable)
{
up = GridAt(w, h) * GridAt(w, h-1) * GridAt(w, h-2) * GridAt(w, h-3);
}
if (isDownAvailable)
{
down = GridAt(w, h) * GridAt(w, h+1) * GridAt(w, h+2) * GridAt(w, h+3);
}
if (isLeftAvailable)
{
left = GridAt(w, h) * GridAt(w-1, h) * GridAt(w-2, h) * GridAt(w-3, h);
}
if (isRightAvailable)
{
right = GridAt(w, h) * GridAt(w+1, h) * GridAt(w+2, h) * GridAt(w+3, h);
}
if (isDiag1Available)
{
diag1 = GridAt(w, h) * GridAt(w+1, h+1) * GridAt(w+2, h+2) * GridAt(w+3, h+3);
}
if (isDiag2Available)
{
diag2 = GridAt(w, h) * GridAt(w-1, h+1) * GridAt(w-2, h+2) * GridAt(w-3, h+3);
}
uint64_t max = Max6(up, down, left, right, diag1, diag2);
if (max > product)
{
product = max;
}
}
}
fprintf(stdout, "The greatest product of four adjacent numbers in the same direction in the 20 x 20 grid is %lu\n", product);
}
int main()
{
Solve();
return 0;
}