这是leetcode的3sum题目,一开始写的版本可以跑前面2/3的测试数据,后面1/3数据长度变大之后,原代码的时间复杂度没控制好,估计是O(n²), 等待时间太长LeetCode那里直接就跳出了。

后来想了差不多一周,反应过来,排序和搜索做的太多了,因为这个题目有两个地方很重要。

第一个是: 遍历所有的组合选项(就是一个排列组合的问题,不能重复),符合3sum条件的结果也不能重复,所有还有一个去重的问题;

第二个是: 得出的结果,比如[-1, 0, 1],结果数据也得按照从大到小的顺序排列。

整理出这两个重点后,代码就好安排了,原来的代码之所运行超时,就是因为在结果去重和结果排序上做了过多的搜索和排序,而改进的办法其实就是, 先将输入数据做一个排序,当结果从小到大排序完成后,相当于已经解决了结果数据的排序问题,整个算法耗时较长的地方也在这儿,因为最先用过冒泡 排序,那个耗时真的是醉了,最后改成桶排序试了下,比glibc的快排还是慢了点,glibc的qsort方法排序效率非常稳定。

接下来就是在已排序数组中做3个数的遍历操作,方法随意,还是排列组合那套,第一次遍历选定第一个数,数组第一位,剩下两个数从数组的第二位 和最后一位开始向中间靠拢,那么很明显,第一位数最小,第三位数最大,三数相加,由于第一个数是在一次大循环中固定,那么3个数的和小于0则说明 第二数小了,右移一个,遇到重复的就持续右移,直到不重复,然后计算和;如果三个数和大于0,则说明第三个数大了,第三个数左移直到不重复的新数,然后计算和;当和等于0则将三个数复制到结果集中;循环往复直到第二和第三个数‘相遇’。第一次遍历就完成了,后面操作跟着走。

#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <time.h>
#include <sys/time.h>
/**Given an array S of n integers, are there elements a, b, c in S such that a + b + c = 0? Find all unique triplets in the array which gives the sum of zero.Note: The solution set must not contain duplicate triplets.For example, given array S = [-1, 0, 1, 2, -1, -4],A solution set is:[[-1, 0, 1],[-1, -1, 2]]* Return an array of arrays of size *returnSize.* Note: The returned array must be malloced, assume caller calls free().*/
/* D array*/
// void **darray_new(int row, int col, int size)
// {
//     void **arr;
//     arr = (void **) malloc(sizeof(void *) * row + size * row * col);
//     if (arr != NULL)
//     {
//         void *head = NULL;
//         head = (void *) arr + sizeof(void *) * row;
//         memset(arr, 0, sizeof(void *) * row + size * row * col);
//         while (row--)
//         {
//             arr[row] = head + size * row * col;
//         }
//     }
//     return arr;
// }// void darray_free(void **arr)
// {
//     if (arr != NULL)
//     {
//         free(arr);
//     }
// }int compInc(const void *a, const void *b)
{return *(int *)a - *(int *)b;
}int array_sort(int *src_array, int array_len)
// This Bucket sort took 83ms to finish my 3sum test; longer than than C in-build quick sort.
{if (src_array == NULL || array_len <= 0){return -1;}int i = 0;for(i = 0; i < array_len - 1; i++){if (src_array[i] > src_array[i + 1]){int temp = src_array[i + 1];src_array[i + 1] = src_array[i];src_array[i] = temp;}}for(i = array_len - 1; i > 0; i--){if (src_array[i] < src_array[i - 1]){int temp = src_array[i - 1];src_array[i - 1] = src_array[i];src_array[i] = temp;}}int max_num = src_array[array_len - 1];int min_num = src_array[0];int adjust_to_zero = 0 - min_num;char *index = (char*)malloc(max_num - min_num + 1);if (index == NULL){return -1;}memset(index, 0, max_num - min_num + 1);for (i = 0; i < array_len; i++){index[src_array[i] + adjust_to_zero] += 1;}int j = 0;i = 0;while(i < max_num - min_num + 1 && j < array_len){if (index[i] == 0){i++;continue;}else{src_array[j] = i - adjust_to_zero;j += 1;index[i] -= 1;}}free(index);return 0;
}int** threeSum(int* nums, int numsSize, int* returnSize)
{// qsort(nums, numsSize, sizeof(int), compInc);// int qtmp = 0;// for (qtmp = 0; qtmp < numsSize; qtmp++)// {//     printf("%d,", nums[qtmp]);// }array_sort(nums, numsSize);*returnSize = 0;int ** array = (int **)malloc(sizeof(void*) * 10 *numsSize);int memblock = 1;int i = 0;int j = 0;int k = 0;for (i = 0; i < numsSize - 2; i++){j= i + 1;k = numsSize - 1;while(j < k){if (nums[i] + nums[j] + nums[k] == 0){int *data = (int*)malloc(3 * sizeof(int));data[0] = nums[i];data[1] = nums[j];data[2] = nums[k];array[*returnSize] = data;*returnSize += 1;if (*returnSize < 10 * numsSize * memblock){// memory enough}else{memblock += 1;array = (int **)realloc(array, sizeof(void*) * 10 * numsSize * memblock);}while(j < k && nums[j] == nums[j+1]){j++;}j++;while(j < k && nums[k] == nums[k-1]){k--;}k--;}else if (nums[i] + nums[j] + nums[k] < 0){while(j < k && nums[j] == nums[j+1]){j++;}j++;}else{while(j < k && nums[k] == nums[k-1]){k--;}k--;}}while(i < numsSize - 2 && nums[i] == nums[i+1]){i++;}}return array;
}int main(int argc, char *argv[])
{struct timeval start, end;gettimeofday( &start, NULL );int S[3000] = 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int S[16] = {-4,-2,1,-5,-4,-4,4,-2,0,4,0,-2,3,1,-5,0};int size = sizeof(S) / sizeof(int);int returnSize = 0;int **list = threeSum(S, size, &returnSize);if (list == NULL)return 0;int tmp = 0;for(tmp = 0; tmp < returnSize; tmp++){printf("[%d, %d, %d]\n", list[tmp][0], list[tmp][1], list[tmp][2]);free(list[tmp]);}//printf("return size: %d\n", returnSize);gettimeofday( &end, NULL );int timeuse = 1000000 * ( end.tv_sec - start.tv_sec ) + end.tv_usec - start.tv_usec;printf("time: %d us\n", timeuse);//free(list);return 0;
}

转载于:https://my.oschina.net/dskfajoiewfcnlksdahf/blog/871361

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