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LWC 49:674. Longest Continuous Increasing Subsequence

2017-09-10 14:03 387 查看

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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