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#1516. 【2022 正睿 NOIP 十连测 Day 1】区间 (range)
https://sjzezoj.com/submission/60321
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S2OJ/1516/1516.cpp
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S2OJ/1516/1516.cpp
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#include <iostream>
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#include <algorithm>
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#include <functional>
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#include <queue>
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#include <utility>
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#include <vector>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 2505;
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int n, k, l[N], r[N], w[N];
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long long sum, f[N << 1];
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std::vector<int> nums;
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std::vector<std::pair<int, int>> g[N << 1];
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n >> k;
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for (int i = 1; i <= n; i++) {
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cin >> l[i] >> r[i] >> w[i];
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nums.emplace_back(l[i]);
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nums.emplace_back(r[i]);
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sum += w[i];
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}
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std::sort(nums.begin(), nums.end());
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nums.erase(std::unique(nums.begin(), nums.end()), nums.end());
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for (int i = 1; i <= n; i++) {
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l[i] = std::lower_bound(nums.begin(), nums.end(), l[i]) - nums.begin() + 1;
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r[i] = std::lower_bound(nums.begin(), nums.end(), r[i]) - nums.begin() + 1;
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g[l[i]].emplace_back(r[i], w[i]);
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}
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for (int i = 1; i <= nums.size(); i++) {
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std::priority_queue<int, std::vector<int>, std::greater<>> q;
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long long res = 0;
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for (int j = i; j; j--) {
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for (auto e : g[j]) {
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if (e.first <= i) {
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if (q.size() < k) {
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q.emplace(e.second);
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res += e.second;
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} else if (q.top() < e.second) {
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res -= q.top();
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q.pop();
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q.emplace(e.second);
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res += e.second;
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}
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}
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}
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f[i] = std::max(f[i], f[j - 1] + res);
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}
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}
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cout << sum - f[nums.size()] << endl;
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return 0;
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}
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