Add solution 376

This commit is contained in:
YDZ
2021-03-19 12:17:24 +08:00
parent 031d96b369
commit 23a0f0a2b4
25 changed files with 680 additions and 447 deletions

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package leetcode
func wiggleMaxLength(nums []int) int {
if len(nums) < 2 {
return len(nums)
}
res := 1
prevDiff := nums[1] - nums[0]
if prevDiff != 0 {
res = 2
}
for i := 2; i < len(nums); i++ {
diff := nums[i] - nums[i-1]
if diff > 0 && prevDiff <= 0 || diff < 0 && prevDiff >= 0 {
res++
prevDiff = diff
}
}
return res
}

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package leetcode
import (
"fmt"
"testing"
)
type question376 struct {
para376
ans376
}
// para 是参数
// one 代表第一个参数
type para376 struct {
nums []int
}
// ans 是答案
// one 代表第一个答案
type ans376 struct {
one int
}
func Test_Problem376(t *testing.T) {
qs := []question376{
{
para376{[]int{1, 7, 4, 9, 2, 5}},
ans376{6},
},
{
para376{[]int{1, 17, 5, 10, 13, 15, 10, 5, 16, 8}},
ans376{7},
},
{
para376{[]int{1, 2, 3, 4, 5, 6, 7, 8, 9}},
ans376{2},
},
}
fmt.Printf("------------------------Leetcode Problem 376------------------------\n")
for _, q := range qs {
_, p := q.ans376, q.para376
fmt.Printf("【input】:%v 【output】:%v\n", p, wiggleMaxLength(p.nums))
}
fmt.Printf("\n\n\n")
}

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# [376. Wiggle Subsequence](https://leetcode.com/problems/wiggle-subsequence/)
## 题目
Given an integer array `nums`, return *the length of the longest **wiggle sequence***.
A **wiggle sequence** is a sequence where the differences between successive numbers strictly alternate between positive and negative. The first difference (if one exists) may be either positive or negative. A sequence with fewer than two elements is trivially a wiggle sequence.
- For example, `[1, 7, 4, 9, 2, 5]` is a **wiggle sequence** because the differences `(6, -3, 5, -7, 3)` are alternately positive and negative.
- In contrast, `[1, 4, 7, 2, 5]` and `[1, 7, 4, 5, 5]` are not wiggle sequences, the first because its first two differences are positive and the second because its last difference is zero.
A **subsequence** is obtained by deleting some elements (eventually, also zero) from the original sequence, leaving the remaining elements in their original order.
**Example 1:**
```
Input: nums = [1,7,4,9,2,5]
Output: 6
Explanation: The entire sequence is a wiggle sequence.
```
**Example 2:**
```
Input: nums = [1,17,5,10,13,15,10,5,16,8]
Output: 7
Explanation: There are several subsequences that achieve this length. One is [1,17,10,13,10,16,8].
```
**Example 3:**
```
Input: nums = [1,2,3,4,5,6,7,8,9]
Output: 2
```
**Constraints:**
- `1 <= nums.length <= 1000`
- `0 <= nums[i] <= 1000`
**Follow up:** Could you solve this in `O(n)` time?
## 题目大意
如果连续数字之间的差严格地在正数和负数之间交替,则数字序列称为摆动序列。第一个差(如果存在的话)可能是正数或负数。少于两个元素的序列也是摆动序列。例如, [1,7,4,9,2,5] 是一个摆动序列,因为差值 (6,-3,5,-7,3) 是正负交替出现的。相反, [1,4,7,2,5] 和 [1,7,4,5,5] 不是摆动序列,第一个序列是因为它的前两个差值都是正数,第二个序列是因为它的最后一个差值为零。给定一个整数序列,返回作为摆动序列的最长子序列的长度。 通过从原始序列中删除一些(也可以不删除)元素来获得子序列,剩下的元素保持其原始顺序。
## 解题思路
- 题目要求找到摆动序列最长的子序列。本题可以用贪心的思路,记录当前序列的上升和下降的趋势。扫描数组过程中,每扫描一个元素都判断是“峰”还是“谷”,根据前一个是“峰”还是“谷”做出对应的决定。利用贪心的思想找到最长的摆动子序列。
## 代码
```go
package leetcode
func wiggleMaxLength(nums []int) int {
if len(nums) < 2 {
return len(nums)
}
res := 1
prevDiff := nums[1] - nums[0]
if prevDiff != 0 {
res = 2
}
for i := 2; i < len(nums); i++ {
diff := nums[i] - nums[i-1]
if diff > 0 && prevDiff <= 0 || diff < 0 && prevDiff >= 0 {
res++
prevDiff = diff
}
}
return res
}
```