90. 子集 II¶
难度:中等
题目¶
给你一个整数数组 nums
,其中可能包含重复元素,请你返回该数组所有可能的子集(幂集)。
解集 不能 包含重复的子集。返回的解集中,子集可以按 任意顺序 排列。
示例 1:
输入:nums = [1,2,2]
输出:[[],[1],[1,2],[1,2,2],[2],[2,2]]
示例 2:
输入:nums = [0]
输出:[[],[0]]
提示:
1 <= nums.length <= 10
-10 <= nums[i] <= 10
题解¶
先统计集合中每个元素的出现次数,再根据出现次数进行回溯,最后重新生成每个集合。
/**
* Return an array of arrays of size *returnSize.
* The sizes of the arrays are returned as *returnColumnSizes array.
* Note: Both returned array and *columnSizes array must be malloced, assume caller calls free().
*/
int *convert(int *count, int countLen, int *returnSize)
{
int i = 0, j = 0, k = 0;
*returnSize = 0;
for (i = 0; i < countLen; i++)
(*returnSize) += count[i];
int *ret = (int *)malloc(sizeof(int) * *returnSize);
for (i = 0; i < countLen; i++)
for (j = 0; j < count[i]; j++)
ret[k++] = i - 10;
return ret;
}
void dfs(int **ret, int *retSize, int *count, int *current, int currentPos, int maxPos, int *number)
{
if (currentPos == maxPos)
{
ret[*number] = convert(current, maxPos, retSize + *number);
(*number)++;
}
else
{
if (count[currentPos] == 0)
dfs(ret, retSize, count, current, currentPos + 1, maxPos, number);
else
{
int i = 0;
for (i = 0; i <= count[currentPos]; i++)
{
current[currentPos] = i;
dfs(ret, retSize, count, current, currentPos + 1, maxPos, number);
current[currentPos] = 0;
}
}
}
}
int** subsetsWithDup(int* nums, int numsSize, int* returnSize, int** returnColumnSizes){
int *count = (int *)malloc(sizeof(int) * 21), *buffer = (int *)malloc(sizeof(int) * 21),
i = 0, **ret = NULL;
memset(count, 0, sizeof(int) * 21);
memset(buffer, 0, sizeof(int) * 21);
*returnSize = 1;
for (i = 0; i < numsSize; i++)
count[nums[i] + 10]++;
for (i = 0; i < 21; i++)
*returnSize *= count[i] + 1;
*returnColumnSizes = (int *)malloc(sizeof(int) * *returnSize);
ret = (int **)malloc(sizeof(int *) * *returnSize);
i = 0;
dfs(ret, *returnColumnSizes, count, buffer, 0, 21, &i);
return ret;
}