Medium
Longest Non-Decreasing Subarray After Replacing at Most One Element — C++
Full explanation · Time O(n) · Space O(n)
// Time: O(n)
// Space: O(n)
// prefix sum
class Solution {
public:
int longestSubarray(vector<int>& nums) {
vector<int> right(size(nums), 1);
for (int i = size(nums) - 2; i >= 0; --i) {
if (nums[i] <= nums[i + 1]) {
right[i] = right[i + 1] + 1;
}
}
int result = min(ranges::max(right) + 1, static_cast<int>(size(nums)));
for (int i = 1, left = 1; i + 1 < size(nums); ++i) {
if (nums[i - 1] <= nums[i + 1]) {
result = max(result, left + 1 + right[i + 1]);
}
if (nums[i - 1] <= nums[i]) {
++left;
} else {
left = 1;
}
}
return result;
}
};
// Time: O(n)
// Space: O(n)
// prefix sum
class Solution2 {
public:
int longestSubarray(vector<int>& nums) {
vector<int> left(size(nums), 1);
for (int i = 0; i + 1 < size(nums); ++i) {
if (nums[i] <= nums[i + 1]) {
left[i + 1] = left[i] + 1;
}
}
vector<int> right(size(nums), 1);
for (int i = size(nums) - 2; i >= 0; --i) {
if (nums[i] <= nums[i + 1]) {
right[i] = right[i + 1] + 1;
}
}
int result = min(ranges::max(left) + 1, static_cast<int>(size(nums)));
for (int i = 1; i + 1 < size(nums); ++i) {
if (nums[i - 1] <= nums[i + 1]) {
result = max(result, left[i - 1] + 1 + right[i + 1]);
}
}
return result;
}
};