# 合并区间

以数组 intervals 表示若干个区间的集合,其中单个区间为 intervals[i] = [starti, endi] 。请你合并所有重叠的区间,并返回一个不重叠的区间数组,该数组需恰好覆盖输入中的所有区间。

 

示例 1:

输入:intervals = [[1,3],[2,6],[8,10],[15,18]]
输出:
[[1,6],[8,10],[15,18]]
解释:
区间 [1,3] 和 [2,6] 重叠, 将它们合并为 [1,6].

示例 2:

输入:intervals = [[1,4],[4,5]]
输出:
[[1,5]]
解释:
区间 [1,4] 和 [4,5] 可被视为重叠区间。

 

提示:

以下程序实现了这一功能,请你填补空白处内容: ```cpp #include #include #include static int compare(const void *a, const void *b) { return ((int *)a)[0] - ((int *)b)[0]; } int **merge(int **intervals, int intervalsSize, int *intervalsColSize, int *returnSize, int **returnColumnSizes) { if (intervalsSize == 0) { *returnSize = 0; return intervals; } int i, len = 0; int *tmp = malloc(intervalsSize * 2 * sizeof(int)); for (i = 0; i < intervalsSize; i++) { tmp[i * 2] = intervals[i][0]; tmp[i * 2 + 1] = intervals[i][1]; } qsort(tmp, intervalsSize, 2 * sizeof(int), compare); intervals[0][0] = tmp[0]; intervals[0][1] = tmp[1]; for (i = 1; i < intervalsSize; i++) { if (tmp[i * 2] > intervals[len][1]) { len++; ___________________________ } else if (tmp[i * 2 + 1] > intervals[len][1]) { intervals[len][1] = tmp[i * 2 + 1]; } } len += 1; *returnSize = len; *returnColumnSizes = malloc(len * sizeof(int)); for (i = 0; i < len; i++) { (*returnColumnSizes)[i] = 2; } return intervals; } int main(int argc, char **argv) { if (argc < 1 || argc % 2 == 0) { fprintf(stderr, "Usage: ./test s0 e0 s1 e1..."); exit(-1); } int i, count = 0; int *sizes = malloc((argc - 1) / 2 * sizeof(int)); int **intervals = malloc((argc - 1) / 2 * sizeof(int *)); for (i = 0; i < (argc - 1) / 2; i++) { sizes[i] = 2; intervals[i] = malloc(2 * sizeof(int)); intervals[i][0] = atoi(argv[i * 2 + 1]); intervals[i][1] = atoi(argv[i * 2 + 2]); } int *col_sizes; int **results = merge(intervals, (argc - 1) / 2, sizes, &count, &col_sizes); for (i = 0; i < count; i++) { printf("[%d,%d]\n", results[i][0], results[i][1]); } return 0; } ``` ## template ```cpp #include #include #include static int compare(const void *a, const void *b) { return ((int *)a)[0] - ((int *)b)[0]; } int **merge(int **intervals, int intervalsSize, int *intervalsColSize, int *returnSize, int **returnColumnSizes) { if (intervalsSize == 0) { *returnSize = 0; return intervals; } int i, len = 0; int *tmp = malloc(intervalsSize * 2 * sizeof(int)); for (i = 0; i < intervalsSize; i++) { tmp[i * 2] = intervals[i][0]; tmp[i * 2 + 1] = intervals[i][1]; } qsort(tmp, intervalsSize, 2 * sizeof(int), compare); intervals[0][0] = tmp[0]; intervals[0][1] = tmp[1]; for (i = 1; i < intervalsSize; i++) { if (tmp[i * 2] > intervals[len][1]) { len++; intervals[len][0] = tmp[i * 2]; intervals[len][1] = tmp[i * 2 + 1]; } else if (tmp[i * 2 + 1] > intervals[len][1]) { intervals[len][1] = tmp[i * 2 + 1]; } } len += 1; *returnSize = len; *returnColumnSizes = malloc(len * sizeof(int)); for (i = 0; i < len; i++) { (*returnColumnSizes)[i] = 2; } return intervals; } int main(int argc, char **argv) { if (argc < 1 || argc % 2 == 0) { fprintf(stderr, "Usage: ./test s0 e0 s1 e1..."); exit(-1); } int i, count = 0; int *sizes = malloc((argc - 1) / 2 * sizeof(int)); int **intervals = malloc((argc - 1) / 2 * sizeof(int *)); for (i = 0; i < (argc - 1) / 2; i++) { sizes[i] = 2; intervals[i] = malloc(2 * sizeof(int)); intervals[i][0] = atoi(argv[i * 2 + 1]); intervals[i][1] = atoi(argv[i * 2 + 2]); } int *col_sizes; int **results = merge(intervals, (argc - 1) / 2, sizes, &count, &col_sizes); for (i = 0; i < count; i++) { printf("[%d,%d]\n", results[i][0], results[i][1]); } return 0; } ``` ## 答案 ```cpp intervals[len][0] = tmp[i * 2]; intervals[len][1] = tmp[i * 2 + 1]; ``` ## 选项 ### A ```cpp intervals[len][0] = tmp[i]; intervals[len][1] = tmp[i + 1]; ``` ### B ```cpp intervals[len][0] = tmp[i]; intervals[len][1] = tmp[i - 1]; ``` ### C ```cpp intervals[len][0] = tmp[i * 2]; intervals[len][1] = tmp[i * 2 - 1]; ```