LeetCode 674. Longest Continuous Increasing Subsequence
2017-09-10 20:58
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Longest Continuous Increasing Subsequence
题目描述:
Given an unsorted array of integers, find the length of longestcontinuousincreasing
subsequence.
Example 1:
Input: [1,3,5,4,7] Output: 3 Explanation: The longest continuous increasing subsequence is [1,3,5], its length is 3. Even though [1,3,5,7] is also an increasing subsequence, it's not a continuous one where 5 and 7 are separated by 4.
Example 2:
Input: [2,2,2,2,2] Output: 1 Explanation: The longest continuous increasing subsequence is [2], its length is 1.
题目大意:
给定一个序列,找出最长连续上升子序列,注意是上升序列,不是非递减即等于是不符合条件的。还有个重要的条件是连续。试想,如果当前元素要比上一个元素大,那么他就能添加到上一个元素大后面,组成更上的连续上升子序列,我们设len[i]表示i位置以前包含i元素能组成的最长上升子序列,那么len[i] = len[i] + 1; 当然要复合前提条件nums[i] > nums[i-1]。于是我们在数组len中找到最大值输出即可。
题目代码:
class Solution { public: int findLengthOfLCIS(vector<int>& nums) { if(nums.size() == 0) return 0; if(nums.size() == 1) return 1; vector<int> len(nums.size()); int maxn = INT_MIN; for(int i = 0; i < nums.size(); i++){ len[i] = 1; } for(int i = 1; i < nums.size(); i++){ if(nums[i] > nums[i-1]){ len[i] = len[i-1]+1; } maxn = max(maxn, len[i]); } return maxn; } };
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