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feat: add solutions to lc problem: No.1909 (#3969)
No.1909.Remove One Element to Make the Array Strictly Increasing
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‎solution/1900-1999/1909.Remove One Element to Make the Array Strictly Increasing/README.md

+114-77
Original file line numberDiff line numberDiff line change
@@ -73,7 +73,11 @@ tags:
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<!-- solution:start -->
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### 方法一
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### 方法一：遍历
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我们可以遍历数组，找到第一个不满足 $\textit{nums}[i] < \textit{nums}[i+1]$ 的位置 $i$，然后检查删除 $i$ 或者 $i+1$ 后的数组是否严格递增，如果是则返回 $\textit{true}$，否则返回 $\textit{false}$。
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时间复杂度 $O(n)$，其中 $n$ 是数组 $\textit{nums}$ 的长度。空间复杂度 $O(1)$。
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<!-- tabs:start -->
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@@ -82,43 +86,44 @@ tags:
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```python
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class Solution:
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def canBeIncreasing(self, nums: List[int]) -> bool:
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def check(nums, i):
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prev = -inf
87-
for j, num in enumerate(nums):
88-
if i == j:
89+
def check(k: int) -> bool:
90+
pre = -inf
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for i, x in enumerate(nums):
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if i == k:
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continue
90-
if prev >= nums[j]:
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if pre >= x:
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return False
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prev = nums[j]
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pre = x
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return True
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95-
i, n = 1, len(nums)
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while i < n and nums[i - 1] < nums[i]:
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i = 0
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while i + 1 < len(nums) and nums[i] < nums[i + 1]:
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i += 1
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return check(nums, i - 1) or check(nums, i)
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return check(i) or check(i + 1)
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```
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#### Java
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```java
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class Solution {
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public boolean canBeIncreasing(int[] nums) {
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int i = 1, n = nums.length;
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for (; i < n && nums[i - 1] < nums[i]; ++i)
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;
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return check(nums, i - 1) || check(nums, i);
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int i = 0;
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while (i + 1 < nums.length && nums[i] < nums[i + 1]) {
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++i;
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}
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return check(nums, i) || check(nums, i + 1);
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}
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112-
private boolean check(int[] nums, int i) {
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int prev = Integer.MIN_VALUE;
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for (int j = 0; j < nums.length; ++j) {
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if (i == j) {
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private boolean check(int[] nums, int k) {
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int pre = 0;
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for (int i = 0; i < nums.length; ++i) {
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if (i == k) {
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continue;
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}
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if (prev >= nums[j]) {
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if (pre >= nums[i]) {
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return false;
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}
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prev = nums[j];
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pre = nums[i];
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}
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return true;
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}
@@ -131,20 +136,25 @@ class Solution {
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class Solution {
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public:
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bool canBeIncreasing(vector<int>& nums) {
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int i = 1, n = nums.size();
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for (; i < n && nums[i - 1] < nums[i]; ++i)
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;
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return check(nums, i - 1) || check(nums, i);
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}
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bool check(vector<int>& nums, int i) {
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int prev = 0;
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for (int j = 0; j < nums.size(); ++j) {
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if (i == j) continue;
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if (prev >= nums[j]) return false;
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prev = nums[j];
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int n = nums.size();
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auto check = [&](int k) -> bool {
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int pre = 0;
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for (int i = 0; i < n; ++i) {
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if (i == k) {
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continue;
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}
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if (pre >= nums[i]) {
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return false;
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}
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pre = nums[i];
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}
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return true;
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};
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int i = 0;
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while (i + 1 < n && nums[i] < nums[i + 1]) {
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++i;
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}
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return true;
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return check(i) || check(i + 1);
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}
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};
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```
@@ -153,50 +163,50 @@ public:
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```go
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func canBeIncreasing(nums []int) bool {
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i, n := 1, len(nums)
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for ; i < n && nums[i-1] < nums[i]; i++ {
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159-
}
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return check(nums, i-1) || check(nums, i)
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}
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func check(nums []int, i int) bool {
164-
prev := 0
165-
for j := 0; j < len(nums); j++ {
166-
if i == j {
167-
continue
168-
}
169-
if prev >= nums[j] {
170-
return false
166+
check := func(k int) bool {
167+
pre := 0
168+
for i, x := range nums {
169+
if i == k {
170+
continue
171+
}
172+
if pre >= x {
173+
return false
174+
}
175+
pre = x
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}
172-
prev = nums[j]
177+
return true
173178
}
174-
return true
179+
i := 0
180+
for i+1 < len(nums) && nums[i] < nums[i+1] {
181+
i++
182+
}
183+
return check(i) || check(i+1)
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}
176185
```
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#### TypeScript
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180189
```ts
181190
function canBeIncreasing(nums: number[]): boolean {
182-
const check = (p: number) => {
183-
let prev = undefined;
184-
for (let j = 0; j < nums.length; j++) {
185-
if (p != j) {
186-
if (prev !== undefined && prev >= nums[j]) {
187-
return false;
188-
}
189-
prev = nums[j];
191+
const n = nums.length;
192+
const check = (k: number): boolean => {
193+
let pre = 0;
194+
for (let i = 0; i < n; ++i) {
195+
if (i === k) {
196+
continue;
190197
}
198+
if (pre >= nums[i]) {
199+
return false;
200+
}
201+
pre = nums[i];
191202
}
192203
return true;
193204
};
194-
for (let i = 0; i < nums.length; i++) {
195-
if (nums[i - 1] >= nums[i]) {
196-
return check(i - 1) || check(i);
197-
}
205+
let i = 0;
206+
while (i + 1 < n && nums[i] < nums[i + 1]) {
207+
++i;
198208
}
199-
return true;
209+
return check(i) || check(i + 1);
200210
}
201211
```
202212

@@ -205,26 +215,53 @@ function canBeIncreasing(nums: number[]): boolean {
205215
```rust
206216
impl Solution {
207217
pub fn can_be_increasing(nums: Vec<i32>) -> bool {
208-
let check = |p: usize| -> bool {
209-
let mut prev = None;
210-
for j in 0..nums.len() {
211-
if p != j {
212-
if let Some(value) = prev {
213-
if value >= nums[j] {
214-
return false;
215-
}
216-
}
217-
prev = Some(nums[j]);
218+
let check = |k: usize| -> bool {
219+
let mut pre = 0;
220+
for (i, &x) in nums.iter().enumerate() {
221+
if i == k {
222+
continue;
218223
}
224+
if pre >= x {
225+
return false;
226+
}
227+
pre = x;
219228
}
220229
true
221230
};
222-
for i in 1..nums.len() {
223-
if nums[i - 1] >= nums[i] {
224-
return check(i - 1) || check(i);
231+
232+
let mut i = 0;
233+
while i + 1 < nums.len() && nums[i] < nums[i + 1] {
234+
i += 1;
235+
}
236+
check(i) || check(i + 1)
237+
}
238+
}
239+
```
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#### C#
242+
243+
```cs
244+
public class Solution {
245+
public bool CanBeIncreasing(int[] nums) {
246+
int n = nums.Length;
247+
bool check(int k) {
248+
int pre = 0;
249+
for (int i = 0; i < n; ++i) {
250+
if (i == k) {
251+
continue;
252+
}
253+
if (pre >= nums[i]) {
254+
return false;
255+
}
256+
pre = nums[i];
225257
}
258+
return true;
259+
}
260+
int i = 0;
261+
while (i + 1 < n && nums[i] < nums[i + 1]) {
262+
++i;
226263
}
227-
true
264+
return check(i) || check(i + 1);
228265
}
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}
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```

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