// 2906. Construct Product Matrix
#include "leetcode.h"
/*
* given a 0-indexed 2d integer matrix 'grid' of size 'n x m', we define a
* 0-indexed 2d matrix 'p' of size 'n x m' as the product matrix of 'grid' if
* the following condition is met: each element 'p[i][j]' is calculated as the
* product of all elements in 'grid' excpet for the element 'grid[i][j]'. this
* product is then taken modulo 12345. return the product matrix of 'grid'.
*/
int **constructProductMatrix(int **grid, int gridSize, int *gridColSize,
int *returnSize, int **returnColumnSizes) {
const int mod = 12345;
int m = gridSize, n = gridColSize[0];
int **p = (int **)malloc(m * sizeof(int *));
*returnColumnSizes = (int *)malloc(m * sizeof(int));
for (int i = 0; i < m; i++) {
p[i] = (int *)calloc(n, sizeof(int));
(*returnColumnSizes)[i] = n;
}
*returnSize = n;
long long suffix = 1;
for (int i = m - 1; i >= 0; i--)
for (int j = n - 1; j >= 0; j--) {
p[i][j] = suffix % mod;
suffix *= grid[i][j] % mod;
}
long long prefix = 1;
for (int i = 0; i < m; i++)
for (int j = 0; j < n; j++) {
p[i][j] *= prefix % mod;
prefix *= grid[i][j] % mod;
}
return p;
}
int main() {
int g1i[2][2] = {{1, 2}, {3, 4}}, r1[2][2] = {{24, 12}, {8, 6}};
int g2i[3][1] = {{12345}, {2}, {1}}, r2[3][1] = {{2}, {0}, {0}};
struct two_d_arr *g1 =
two_d_arr_init(ARRAY_SIZE(g1i), ARRAY_SIZE(g1i[0]), g1i);
struct two_d_arr *g2 =
two_d_arr_init(ARRAY_SIZE(g2i), ARRAY_SIZE(g2i[0]), g2i);
int rs1, *rcs1, rs2, *rcs2;
int **cpm1 =
constructProductMatrix(g1->arr, g1->row_size, g1->col_size, &rs1, &rcs1);
int **cpm2 =
constructProductMatrix(g2->arr, g2->row_size, g2->col_size, &rs2, &rcs2);
for (int i = 0; i < rs1; i++) {
for (int j = 0; j < rcs1[i]; j++) {
printf("%d ", cpm1[i][j]);
assert(cpm1[i][j] == r1[i][j]);
}
printf("\n");
}
printf("\n");
for (int i = 0; i < rs2; i++) {
for (int j = 0; j < rcs2[i]; j++) {
printf("%d ", cpm2[i][j]);
assert(cpm2[i][j] == r2[i][j]);
}
printf("\n");
}
printf("\n");
for (int i = 0; i < rs1; i++)
free(cpm1[i]);
free(cpm1);
for (int i = 0; i < rs2; i++)
free(cpm2[i]);
free(cpm2);
free(rcs1);
free(rcs2);
two_d_arr_free(g1);
two_d_arr_free(g2);
}