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leetcode/apps/docs/content/(05-decision-space)/intervals/56_merge-intervals.mdx
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---
title: '56. Merge Intervals'
description: Given an array of intervals where intervals[i] = [starti, endi], merge all overlapping intervals, and return an array of the non-overlapping intervals that cover all the intervals in the input
icon: dot
topics:
- { name: "Array", slug: "array" }
- { name: "Sorting", slug: "sorting" }
- { name: "Quicksort", slug: "quicksort" }
issue: "https://github.com/prdlk/leetcode/issues/182"
companies:
- { name: "Palo Alto Networks", period: "Thirty Days", frequency: 100 }
- { name: "Bloomberg", period: "Thirty Days", frequency: 83.1 }
- { name: "Amazon", period: "Thirty Days", frequency: 75.8 }
- { name: "Infosys", period: "Thirty Days", frequency: 68.6 }
- { name: "Microsoft", period: "Thirty Days", frequency: 67.9 }
- { name: "Meta", period: "Thirty Days", frequency: 53.8 }
- { name: "Google", period: "Thirty Days", frequency: 36.7 }
- { name: "Apple", period: "Three Months", frequency: 100 }
- { name: "Coupang", period: "Three Months", frequency: 100 }
- { name: "IBM", period: "Three Months", frequency: 100 }
- { name: "MongoDB", period: "Three Months", frequency: 100 }
- { name: "Atlassian", period: "Three Months", frequency: 89.6 }
- { name: "Salesforce", period: "Three Months", frequency: 88 }
- { name: "Yandex", period: "Three Months", frequency: 86.7 }
- { name: "Visa", period: "Three Months", frequency: 80.9 }
- { name: "Goldman Sachs", period: "Three Months", frequency: 57 }
- { name: "American Express", period: "Six Months", frequency: 100 }
- { name: "Expedia", period: "Six Months", frequency: 100 }
- { name: "General Motors", period: "Six Months", frequency: 100 }
- { name: "Nextdoor", period: "Six Months", frequency: 100 }
- { name: "Ozon", period: "Six Months", frequency: 100 }
- { name: "Ripple", period: "Six Months", frequency: 100 }
- { name: "Tesco", period: "Six Months", frequency: 100 }
- { name: "Morgan Stanley", period: "Six Months", frequency: 83.1 }
- { name: "Walmart Labs", period: "Six Months", frequency: 81.4 }
- { name: "Tesla", period: "Six Months", frequency: 80.9 }
- { name: "Zoho", period: "Six Months", frequency: 79.6 }
- { name: "eBay", period: "Six Months", frequency: 75.2 }
- { name: "TikTok", period: "Six Months", frequency: 64.9 }
- { name: "Capital One", period: "Six Months", frequency: 64.2 }
- { name: "Uber", period: "Six Months", frequency: 55.2 }
- { name: "LinkedIn", period: "Six Months", frequency: 54.1 }
sidebar:
label: 'Merge Intervals'
badge: 'Medium'
---
### Example 1:
- Input: `intervals = [[1,3],[2,6],[8,10],[15,18]]`
- Output: `[[1,6],[8,10],[15,18]]`
- Explanation: Since `intervals [1,3]` and `[2,6]` overlap, merge them into `[1,6]`.
### Example 2:
- Input: `intervals = [[1,4],[4,5]]`
- Output: `[[1,5]]`
- Explanation: Intervals `[1,4]` and `[4,5]` are considered overlapping.
### Example 3:
- Input: `intervals = [[4,7],[1,4]]`
- Output: `[[1,7]]`
- Explanation: Intervals `[1,4]` and `[4,7]` are considered overlapping.
### Constraints:
- `1 <= intervals.length <= 10^4`
- `intervals[i].length == 2`
- `0 <= starti <= endi <= 10^4`
## Solution
```py
class Solution:
def merge(self, intervals: list[list[int]]) -> list[list[int]]:
intervals.sort(key=lambda x: x[0])
result = []
for start, end in intervals:
if result and start <= result[-1][1]:
result[-1][1] = max(result[-1][1], end)
else:
result.append([start, end])
return result
```