Submission #706415

#	Time	Username	Problem	Language	Result	Execution time	Memory
706415		AverageAmogusEnjoyer	Knapsack (NOI18_knapsack)	C++17	100 / 100	147 ms	140856 KiB

knapsack

#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define nl '\n'
using ll = long long;
void maxself(int &a, int b) {
	a = max(a, b);
}
int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	int S, N; cin >> S >> N;
	vector<int> quantiMax(S+1); for (int a=1; a<=S; a++) quantiMax[a] = (S+a-1)/a;
	vector<vector<pair<int, int>>> infos(S+1);
	int v, w, k;
	for (int a=0; a<N; a++) {
		cin >> v >> w >> k;
		if (w > S) continue;
		infos[w].pb({v, k}); 
	}
	for (int a=1; a<=S; a++) sort(infos[a].begin(), infos[a].end());
	vector<int> values, weights;
	values.pb(0); weights.pb(0);
	for (int a=1; a<=S; a++) {
		while(infos[a].size() && quantiMax[a]--) {
			int value = infos[a][infos[a].size()-1].first; infos[a][infos[a].size()-1].second--;
			values.pb(value);
			weights.pb(a);
			if (infos[a][infos[a].size()-1].second <= 0) infos[a].pop_back();
		}
	}
	int dp[(int) values.size()][S+1];
	memset(dp, 0, sizeof(dp));
	for (int n=1; n < (int) values.size(); n++) {
		for (int w = 0; w <= S; w++) {
			if (w - weights[n] >= 0) 
				maxself(dp[n][w], dp[n-1][w - weights[n]] + values[n]);
			maxself(dp[n][w], dp[n-1][w]);
		}
	}
	cout << dp[values.size()-1][S];
}

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