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646. Maximum Length Of Pair Chain

Array Dynamic Programming Greedy Sorting

Problem - Maximum Length Of Pair Chain

Medium

You are given an array of n pairs pairs where pairs[i] = [lefti, righti] and lefti < righti.

A pair p2 = [c, d] follows a pair p1 = [a, b] if b < c. A chain of pairs can be formed in this fashion.

Return the length longest chain which can be formed.

You do not need to use up all the given intervals. You can select pairs in any order.

 

Example 1:

Input: pairs = [[1,2],[2,3],[3,4]]
Output: 2
Explanation: The longest chain is [1,2] -> [3,4].

Example 2:

Input: pairs = [[1,2],[7,8],[4,5]]
Output: 3
Explanation: The longest chain is [1,2] -> [4,5] -> [7,8].

 

Constraints:

  • n == pairs.length
  • 1 <= n <= 1000
  • -1000 <= lefti < righti <= 1000

Solutions

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class Solution:
    def findLongestChain(self, pairs: List[List[int]]) -> int:
        pairs.sort(key=(lambda x : x[1]))
        result, last = 0, -inf

        for val1, val2 in pairs:
            if last < val1:
                result += 1
                last = val2

        return result

Submission Stats:

  • Runtime: 7 ms (67.02%)
  • Memory: 18.1 MB (54.99%)