# 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:
1 <= intervals.length <= 104
intervals[i].length == 2
0 <= starti <= endi <= 104
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];
```