제출 #967524

#제출 시각아이디문제언어결과실행 시간메모리
967524stdfloatKnapsack (NOI18_knapsack)C++17
73 / 100
1064 ms16820 KiB
#include <bits/stdc++.h>
using namespace std;

using ll = long long;

int main() {
	ios::sync_with_stdio(false); cin.tie(nullptr);

	int S, n;
	cin >> S >> n;

	vector<ll> V, W;
	for (int i = 0; i < n; i++) {
		int v, w, k;
		cin >> v >> w >> k;

		k = min(k, S / w);
		
		int x = 1;
		while (x <= k) {
			V.push_back((ll)v * x);
			W.push_back((ll)w * x);

			k -= x;
			x <<= 1;
		}

		if (k) {
			V.push_back((ll)v * k);
			W.push_back((ll)w * k);
		}
	}

	vector<ll> dp(S + 1, -1);
	dp[0] = 0;
	for (int i = 0; i < (int)V.size(); i++) {
		for (int j = S; j >= W[i]; j--)
			if (dp[j - W[i]] != -1) dp[j] = max(dp[j], dp[j - W[i]] + V[i]);
	}

	cout << *max_element(dp.begin(), dp.end());
}
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