Submission #975605

#TimeUsernameProblemLanguageResultExecution timeMemory
975605vjudge1Knapsack (NOI18_knapsack)C++17
0 / 100
128 ms262144 KiB
#include <bits/stdc++.h>
#define ll long long
using namespace std;

int V[100005] = {}, W[100005] = {}, K[100005] = {};
int DP[100005][2005] = {};
int solve(int N, int S) {
	if (DP[N][S] != -1)
		return DP[N][S];
	if (N == 1) {
		DP[N][S] = min(S/W[1], K[1]) * V[1];
		return DP[N][S];
	}
	int mx = 0;
	for (int k = 0; k <= K[N] && k*W[N] <= S; k++)
		mx = max(mx, solve(N - 1, S - k*W[N]) + k*V[N]);
	DP[N][S] = mx;
	return mx;
}

int main() {
	memset(DP, -1, sizeof DP);
	ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
	int S, N;
	cin >> S >> N;
	for (int i = 1; i <= N; i++)
		cin >> V[i] >> W[i] >> K[i];
	cout << solve(N, S) << '\n';
	return 0;
}
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