Hard
Minimum Initial Energy to Finish Tasks — C++
Full explanation · Time O(nlogn) · Space O(1)
// Time: O(nlogn)
// Space: O(1)
class Solution {
public:
int minimumEffort(vector<vector<int>>& tasks) {
sort(begin(tasks), end(tasks),
[](const auto& a, const auto& b) {
return a[1] - a[0] < b[1] - b[0]; // sort by waste in asc
});
int result = 0;
// you can see proof here, https://leetcode.com/problems/minimum-initial-energy-to-finish-tasks/discuss/944633/Explanation-on-why-sort-by-difference
for (const auto& task : tasks) { // we need to pick all the wastes, so greedily to pick the least waste first is always better
result = max(result + task[0], task[1]);
}
return result;
}
};
// Time: O(nlogn)
// Space: O(1)
class Solution2 {
public:
int minimumEffort(vector<vector<int>>& tasks) {
sort(begin(tasks), end(tasks),
[](const auto& a, const auto& b) {
return a[1] - a[0] > b[1] - b[0]; // sort by save in desc
});
int result = 0, curr = 0;
for (const auto& task : tasks) { // we need to pick all the saves, so greedily to pick the most save first is always better
result += max(task[1] - curr, 0);
curr = max(curr, task[1]) - task[0];
}
return result;
}
};