Submission #1309732

#	Time	Username	Problem	Language	Result	Execution time	Memory
1309732		mantaggez	Knapsack (NOI18_knapsack)	C++20	100 / 100	54 ms	2096 KiB

knapsack

#include <bits/stdc++.h>

using namespace std;

#define tup tuple<int, int, int>

const int nx = 2e3+5;

int s, n, dp[nx];
vector<tup> a;
vector<pair<int, int>> q;

bool cmp(tup& x, tup& y)
{
	auto [x1, x2, x3] = x;
	auto [y1, y2, y3] = y;
	if(x1 == y1) return x2 > y2;
	return x1 < y1;
}

int main()
{
	cin.tie(NULL)->sync_with_stdio(false);
	cin >> s >> n;
	for(int i=0;i<n;i++)
	{
		int v, w, k;
		cin >> v >> w >> k;
		a.push_back({w, v, k});
	}
	
	sort(a.begin(), a.end(), cmp);
	
	int cnt = 0, prev = -1;
	for(auto& [w, v, k] : a)
	{
		if(prev != w)
		{
			cnt = 0;
			prev = w;
		}
		int weight = s / w;
		for(int j=0;j<k && cnt<weight;j++) q.push_back({v, w}), cnt++;
	}
	
	for(auto& [v, w] : q)
	{
		for(int i=s;i>=0;i--)
		{
			if(i - w < 0) continue;
			dp[i] = max(dp[i], dp[i - w] + v);
		}
	}
	
	cout << dp[s];
	
	return 0;
}

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