|
|
/**
|
|
|
* File: subset_sum_i_naive.c
|
|
|
* Created Time: 2023-07-28
|
|
|
* Author: Gonglja (glj0@outlook.com)
|
|
|
*/
|
|
|
|
|
|
#include "../utils/common.h"
|
|
|
|
|
|
#define MAX_SIZE 100
|
|
|
#define MAX_RES_SIZE 100
|
|
|
|
|
|
// 状态（子集）
|
|
|
int state[MAX_SIZE];
|
|
|
int stateSize = 0;
|
|
|
|
|
|
// 结果列表（子集列表）
|
|
|
int res[MAX_RES_SIZE][MAX_SIZE];
|
|
|
int resColSizes[MAX_RES_SIZE];
|
|
|
int resSize = 0;
|
|
|
|
|
|
/* 回溯算法：子集和 I */
|
|
|
void backtrack(int target, int total, int *choices, int choicesSize) {
|
|
|
// 子集和等于 target 时，记录解
|
|
|
if (total == target) {
|
|
|
for (int i = 0; i < stateSize; i++) {
|
|
|
res[resSize][i] = state[i];
|
|
|
}
|
|
|
resColSizes[resSize++] = stateSize;
|
|
|
return;
|
|
|
}
|
|
|
// 遍历所有选择
|
|
|
for (int i = 0; i < choicesSize; i++) {
|
|
|
// 剪枝：若子集和超过 target ，则跳过该选择
|
|
|
if (total + choices[i] > target) {
|
|
|
continue;
|
|
|
}
|
|
|
// 尝试：做出选择，更新元素和 total
|
|
|
state[stateSize++] = choices[i];
|
|
|
// 进行下一轮选择
|
|
|
backtrack(target, total + choices[i], choices, choicesSize);
|
|
|
// 回退：撤销选择，恢复到之前的状态
|
|
|
stateSize--;
|
|
|
}
|
|
|
}
|
|
|
|
|
|
/* 求解子集和 I（包含重复子集） */
|
|
|
void subsetSumINaive(int *nums, int numsSize, int target) {
|
|
|
resSize = 0; // 初始化解的数量为0
|
|
|
backtrack(target, 0, nums, numsSize);
|
|
|
}
|
|
|
|
|
|
/* Driver Code */
|
|
|
int main() {
|
|
|
int nums[] = {3, 4, 5};
|
|
|
int numsSize = sizeof(nums) / sizeof(nums[0]);
|
|
|
int target = 9;
|
|
|
|
|
|
subsetSumINaive(nums, numsSize, target);
|
|
|
|
|
|
printf("输入数组 nums = ");
|
|
|
printArray(nums, numsSize);
|
|
|
printf("target = %d\n", target);
|
|
|
printf("所有和等于 %d 的子集 res = \n", target);
|
|
|
for (int i = 0; i < resSize; i++) {
|
|
|
printArray(res[i], resColSizes[i]);
|
|
|
}
|
|
|
|
|
|
return 0;
|
|
|
}
|
