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86 lines (74 loc) · 2.49 KB
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Copy pathsolution.c
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86 lines (74 loc) · 2.49 KB
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#include <stdlib.h>
#include <limits.h>
int* solution(int n, const int* a) {
int result_size = n + 1;
int* result = (int*)calloc(result_size, sizeof(int));
if (n == 0) {
free(result);
return NULL;
}
if (n == 1) {
result[0] = 1;
result[1] = a[0];
return result;
}
int* dp_plus = (int*)malloc(n * sizeof(int));
int* dp_minus = (int*)malloc(n * sizeof(int));
dp_plus[0] = a[0];
dp_minus[0] = -a[0];
for (int i = 1; i < n; ++i) {
int current_plus = a[i];
int current_minus = -a[i];
int plus_ok = 0;
int minus_ok = 0;
if (dp_plus[i-1] != INT_MAX && dp_plus[i-1] <= current_plus) plus_ok = 1;
if (dp_minus[i-1] != INT_MAX && dp_minus[i-1] <= current_plus) plus_ok = 1;
if (dp_plus[i-1] != INT_MAX && dp_plus[i-1] <= current_minus) minus_ok = 1;
if (dp_minus[i-1] != INT_MAX && dp_minus[i-1] <= current_minus) minus_ok = 1;
if (!plus_ok && !minus_ok) {
free(dp_plus);
free(dp_minus);
return result;
}
if (plus_ok) {
dp_plus[i] = current_plus;
} else {
dp_plus[i] = INT_MAX;
}
if (minus_ok) {
dp_minus[i] = current_minus;
} else {
dp_minus[i] = INT_MAX;
}
}
result[0] = 1;
int current = INT_MAX;
if (dp_plus[n - 1] != INT_MAX && dp_minus[n - 1] != INT_MAX) {
current = (dp_plus[n-1] < dp_minus[n-1]) ? dp_plus[n-1] : dp_minus[n-1];
} else if (dp_plus[n - 1] != INT_MAX) {
current = dp_plus[n - 1];
} else {
current = dp_minus[n - 1];
}
result[n] = current;
for (int i = n - 2; i >= 0; --i) {
int next_val = result[i+2];
if (dp_plus[i] != INT_MAX && dp_plus[i] <= next_val) {
if (dp_minus[i] != INT_MAX && dp_minus[i] <= next_val) {
result[i+1] = (dp_plus[i] < dp_minus[i]) ? dp_plus[i] : dp_minus[i];
} else {
result[i+1] = dp_plus[i];
}
} else if (dp_minus[i] != INT_MAX && dp_minus[i] <= next_val) {
result[i+1] = dp_minus[i];
} else {
// This case should ideally not be reached if a solution exists.
// We have to pick one, let's see which one is not MAX
if(dp_plus[i] != INT_MAX) result[i+1] = dp_plus[i];
else result[i+1] = dp_minus[i];
}
}
free(dp_plus);
free(dp_minus);
return result;
}