# 57.Insert-Interval

## 57. Insert Interval

## 题目地址

<https://leetcode.com/problems/insert-interval/>

## 题目描述

```
Given a set of non-overlapping intervals, insert a new interval into the intervals (merge if necessary).

You may assume that the intervals were initially sorted according to their start times.

Example 1:
Input: intervals = [[1,3],[6,9]], newInterval = [2,5]
Output: [[1,5],[6,9]]

Example 2:
Input: intervals = [[1,2],[3,5],[6,7],[8,10],[12,16]], newInterval = [4,8]
Output: [[1,2],[3,10],[12,16]]
Explanation: Because the new interval [4,8] overlaps with [3,5],[6,7],[8,10].

NOTE: input types have been changed on April 15, 2019. Please reset to default code definition to get new method signature.
```

## 代码

### Approach #1 Greedy

```java
class Solution {
  public int[][] insert(int[][] intervals, int[] newInterval) {
    // init data
    int newStart = newInterval[0], newEnd = newInterval[1];
    int idx = 0, n = intervals.length;
    LinkedList<int[]> output = new LinkedList<int[]>();

    // 1. add all intervals starting before newInterval
    while (idx < n && newStart > intervals[idx][0])
      output.add(intervals[idx++]);

    // 2. add newInterval
    int[] interval = new int[2];
    // if there is no overlap, just add the interval
    if (output.isEmpty() || output.getLast()[1] < newStart)
      output.add(newInterval);
    // if there is an overlap, merge with the last interval
    else {
      interval = output.removeLast();
      interval[1] = Math.max(interval[1], newEnd);
      output.add(interval);
    }

    // 3. add next intervals, merge with newInterval if needed
    while (idx < n) {
      interval = intervals[idx++];
      int start = interval[0], end = interval[1];
      // if there is no overlap, just add an interval
      if (output.getLast()[1] < start) {
        output.add(interval);
      }
      // if there is an overlap, merge with the last interval
      else {
        interval = output.removeLast();
        interval[1] = Math.max(interval[1], end);
        output.add(interval);
      }
    }
    return output.toArray(new int[output.size()][2]);
  }
}
```


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