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// 1691. Maximum Height by Stacking Cuboids
#include "leetcode.h"
/*
* given 'n' cuboids where the dimensions of the i'th cuboid is 'cuboids[i] =
* [width_i, length_i, height_i]' (0-indexed). choosee a subset of 'cuboids' and
* place them on each other. you can place cuboid 'i' on cuboid 'j' if 'width_i
* <= width_j', and similarily for length and height. you can rearrange any
* cuboid's dimensions by rotating it to put it on another cuboid. return the
* maximum height of the stacked 'cuboids'.
*/
int cmp_len(const void *a, const void *b) {
int aa = *(int *)a, bb = *(int *)b;
return aa > bb ? 1 : -1;
}
int cmp_box(const void *a, const void *b) {
int *aa = *(int **)a, *bb = *(int **)b;
if (aa[2] > bb[2])
return 1;
if (aa[2] < bb[2])
return -1;
else {
if (aa[1] > bb[1])
return 1;
if (aa[1] < bb[1])
return -1;
else {
if (aa[0] > bb[0])
return 1;
if (aa[0] < bb[0])
return -1;
else
return 0;
}
}
}
bool check(int *bottom, int *top) {
return top[2] <= bottom[2] && top[1] <= bottom[1] && top[0] <= bottom[0]
? false
: true;
}
int maxHeight(int **cuboids, int cuboidsSize, int *cuboidsColSize) {
for (int i = 0; i < cuboidsSize; i++)
qsort(cuboids[i], 3, sizeof(int), cmp_len);
qsort(cuboids, cuboidsSize, sizeof(cuboids[0]), cmp_box);
int *arr = (int *)malloc(cuboidsSize * sizeof(int)), max = arr[0];
for (int i = 1; i < cuboidsSize; i++) {
for (int j = 0; j < i; j++)
if (check(cuboids[i], cuboids[j]))
arr[i] = fmax(arr[i], arr[j] + cuboids[i][2]);
max = fmax(max, arr[i]);
}
free(arr);
return max;
}
int main() {
int c1i[3][3] = {{50, 45, 20}, {95, 37, 53}, {45, 23, 12}},
c2i[2][3] = {{38, 25, 45}, {76, 35, 3}},
c3i[6][3] = {{7, 11, 17}, {7, 17, 11}, {11, 7, 17},
{11, 17, 7}, {17, 7, 11}, {17, 11, 7}};
struct two_d_arr c1, c2, c3;
two_d_arr_init(&c1, 3, 3, c1i);
two_d_arr_init(&c2, 2, 3, c2i);
two_d_arr_init(&c3, 6, 3, c3i);
printf("%d\n", maxHeight(c1.arr, c1.row_size, c1.col_size)); // expect: 190
printf("%d\n", maxHeight(c2.arr, c2.row_size, c2.col_size)); // expect: 76
printf("%d\n", maxHeight(c3.arr, c3.row_size, c3.col_size)); // expect: 102
two_d_arr_free(&c1), two_d_arr_free(&c2), two_d_arr_free(&c3);
}
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