Submission #633196

#	Time	Username	Problem	Language	Result	Execution time	Memory
633196		izanbf	Knapsack (NOI18_knapsack)	C++14	100 / 100	74 ms	18040 KiB

knapsack

#include <bits/stdc++.h>
using namespace std;

#define D(x) cerr << #x << " = " << x << ", "

using vi = vector<int>;
using vvi = vector<vi>;

struct Elem {
	int v, w, k;

	int order() const {
		return -v;
	}
};

bool operator<(const Elem& lhs, const Elem& rhs) {
	return lhs.order() < rhs.order();
}

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

	int s, n;
	cin >> s >> n;
	vector<vector<Elem>> elems(s+1);
	for (int i = 0; i < n; ++i) {
		Elem e;
		cin >> e.v >> e.w >> e.k;
		elems[e.w].push_back(e);
	}

	for (int w = 1; w <= s; ++w) {
		sort(elems[w].begin(), elems[w].end());
	}

	vvi dp(s+1, vi(s+1));
	int ans = 0;

	for (int w = 1; w <= s; ++w) {
		for (int j = 0; j <= s; ++j) {
			dp[w][j] = dp[w-1][j];
			int acum = 0;
			int space = 0;
			for (Elem e : elems[w]) {
				for (int it = 0; it < e.k; ++it) {
					acum += e.v;
					space += w;
					if (space > j) break;
					dp[w][j] = max(dp[w][j], dp[w-1][j-space] + acum);
				}
				if (space > j) break;
			}
		}
		ans = max(ans, dp[w][s]);
	}

	cout << ans << endl;
}

• Subtask 1: 12 / 12
• Subtask 2: 17 / 17
• Subtask 3: 20 / 20
• Subtask 4: 24 / 24
• Subtask 5: 27 / 27