2023-05-07 Daily Challenge
Today I have done leetcode's May LeetCoding Challenge with cpp
.
May LeetCoding Challenge 7
Description
Find the Longest Valid Obstacle Course at Each Position
You want to build some obstacle courses. You are given a 0-indexed integer array obstacles
of length n
, where obstacles[i]
describes the height of the ith
obstacle.
For every index i
between 0
and n - 1
(inclusive), find the length of the longest obstacle course in obstacles
such that:
- You choose any number of obstacles between
0
andi
inclusive. - You must include the
ith
obstacle in the course. - You must put the chosen obstacles in the same order as they appear in
obstacles
. - Every obstacle (except the first) is taller than or the same height as the obstacle immediately before it.
Return an array ans
of length n
, where ans[i]
is the length of the longest obstacle course for index i
as described above.
Example 1:
Input: obstacles = [1,2,3,2] Output: [1,2,3,3] Explanation: The longest valid obstacle course at each position is: - i = 0: [1], [1] has length 1. - i = 1: [1,2], [1,2] has length 2. - i = 2: [1,2,3], [1,2,3] has length 3. - i = 3: [1,2,3,2], [1,2,2] has length 3.
Example 2:
Input: obstacles = [2,2,1] Output: [1,2,1] Explanation: The longest valid obstacle course at each position is: - i = 0: [2], [2] has length 1. - i = 1: [2,2], [2,2] has length 2. - i = 2: [2,2,1], [1] has length 1.
Example 3:
Input: obstacles = [3,1,5,6,4,2] Output: [1,1,2,3,2,2] Explanation: The longest valid obstacle course at each position is: - i = 0: [3], [3] has length 1. - i = 1: [3,1], [1] has length 1. - i = 2: [3,1,5], [3,5] has length 2. [1,5] is also valid. - i = 3: [3,1,5,6], [3,5,6] has length 3. [1,5,6] is also valid. - i = 4: [3,1,5,6,4], [3,4] has length 2. [1,4] is also valid. - i = 5: [3,1,5,6,4,2], [1,2] has length 2.
Constraints:
n == obstacles.length
1 <= n <= 105
1 <= obstacles[i] <= 107
Solution
auto speedup = [](){
cin.tie(nullptr);
cout.tie(nullptr);
ios::sync_with_stdio(false);
return 0;
}();
class Solution {
public:
vector<int> longestObstacleCourseAtEachPosition(vector<int>& obstacles) {
int len = obstacles.size();
vector<int> LIS;
vector<int> answer;
answer.reserve(len);
for(auto i : obstacles) {
int pos = lower_bound(LIS.begin(), LIS.end(), i + 1) - LIS.begin();
if(pos == LIS.size()) {
LIS.push_back(i);
} else {
LIS[pos] = i;
}
answer.push_back(pos + 1);
}
return answer;
}
};
// Accepted
// 78/78 cases passed (297 ms)
// Your runtime beats 77.08 % of cpp submissions
// Your memory usage beats 59.03 % of cpp submissions (117.9 MB)