LWC 49:674. Longest Continuous Increasing Subsequence
2017-09-10 14:03
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LWC 49:674. Longest Continuous Increasing Subsequence
传送门:674. Longest Continuous Increasing Subsequence从今天开始改变下刷题策略,Leetcode Weekly Contest中的每一题都单独更新,有些题还不再自己的能力范围之内,暂时不去解答,有能力独立AC后,再写解题报告。
Problem:
Given an unsorted array of integers, find the length of longest continuous increasing 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.
Note:
Length of the array will not exceed 10,000.
思路:
用了DP记录当前序列的最大连续长度。
dp[i] 表示当前位置的最大连续长度 更新: dp[i] = dp[i - 1] + 1 if (前一元素小于当前元素)
代码如下:
public int findLengthOfLCIS(int[] nums) { if (nums.length == 0) return 0; int[] dp = new int[nums.length]; Arrays.fill(dp, 1); int max = 1; for (int i = 1; i < nums.length; ++i) { if (nums[i] > nums[i - 1]) { dp[i] = dp[i - 1] + 1; } max = Math.max(max, dp[i]); } return max; }
此题不一定需要DP,直接用单个变量控制即可。
代码如下:
public int findLengthOfLCIS(int[] nums) { int n = nums.length; if (n == 0) return 0; int max = 1; for (int i = 1, k = 1; i < n; ++i) { if (nums[i] > nums[i - 1]) { k ++; max = Math.max(max, k); } else { k = 1; } } return max; }
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