Submission #1113118

#TimeUsernameProblemLanguageResultExecution timeMemory
1113118buzdiKnapsack (NOI18_knapsack)C++17
73 / 100
1045 ms2908 KiB
#include <iostream>
#include <map>
#include <vector>
#include <queue>
#include <cassert>
#define ll long long

using namespace std;

const int NMAX = 1e5;
const ll INF = 1e18;
const int SMAX = 2000;

int S, n;
int v[NMAX + 1], w[NMAX + 1], k[NMAX + 1];
ll dp[SMAX + 1], answer;

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);

	cin >> S >> n;
	for(int i = 1; i <= n; i++) {
		cin >> v[i] >> w[i] >> k[i];
	}
	
	for (int i = 0; i <= S; i++) {
		dp[i] = -INF;
	}

	dp[0] = 0;
	for (int i = 1; i <= n; i++) {
		for (int j = S; j >= w[i]; j--) {
			for (int c = 1; c <= k[i] && j - w[i] * c >= 0; c++) {
				if (dp[j - w[i] * c] != -INF) {
					dp[j] = max(dp[j], dp[j - w[i] * c] + (ll) v[i] * c);
				}
			}
		}
	}

	answer = -INF;
	for (int j = 0; j <= S; j++) {
		answer = max(answer, dp[j]);
	}
	cout << answer << '\n';

	return 0;
}
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