Submission #1288348

#TimeUsernameProblemLanguageResultExecution timeMemory
1288348tunademayoLet's Win the Election (JOI22_ho_t3)C++20
0 / 100
70 ms18752 KiB
#include<bits/stdc++.h>
using namespace std;

#define ll long long 
#define ld long double

const bool Multitest = 0;

const int N = 505; const ll offset = 1e9;

int n, k;

struct Type 
{
	ld x, y;
}; Type a[N], b[N];

bool cmp1(Type a, Type b)
{
	return a.y < b.y || (a.y == b.y && a.x < b.x);
}

namespace sub345
{
	const int M = 105;
	
	ld dp[M][M][M];
		
	void minimize(ld& a, ld b)
	{
		a = min(a, b);
	}
		
	ld solve()
	{
		for(int i = 0 ; i <= n ; i++)
		{
			for(int j = 0 ; j <= n ; j++)
			{
				for(int cnt = 0 ; cnt <= n + 1 ; cnt++)
				{
					dp[i][j][cnt] = 1e9;
				}
			}
		}
		
		sort(a + 1, a + 1 + n, cmp1);
		
		dp[0][0][1] = 0;
		
		for(int i = 0 ; i < n ; i++)
		{
			for(int j = 0 ; j <= i && j <= k; j++)
			{
				for(int cnt = 1 ; cnt <= j + 1 ; cnt++)
				{
					minimize(dp[i + 1][j + 1][cnt], dp[i][j][cnt] + (a[i + 1].x / cnt));
					minimize(dp[i + 1][j + 1][cnt + 1], dp[i][j][cnt] + (a[i + 1].y / cnt));
					
					minimize(dp[i + 1][j][cnt], dp[i][j][cnt]);
					
//					cout << i << ' ' << j << ' ' << cnt << ' ' << dp[i][j][cnt] << " ---> " << dp[i + 1][j + 1][cnt] << '\n';
				}
			}
//			cout << dp[i][4][1] << '\n';
		}
		
		ld ans = 1e18;
		
//		cout << dp[4][4][1 ] << '\n'/		
		for(int x = 1 ; x <= k + 1 ; x++) minimize(ans, dp[n][k][x]);
		
//		cout << ans << '\n';
		
		return ans;
	}
}

void work()
{
	cin >> n >> k;
	
	for(int i = 1 ; i <= n ; i++)
	{
		cin >> a[i].x >> a[i].y;
		if(a[i].y == -1) a[i].y = 1e9;
	}
	ld ans = 1e18;
	vector<int> v;
	
	for(int i = 1 ; i <= k ; i++) v.push_back(i);
	sort(a + 1, a + 1 + n, cmp1);
	
	for(int i = 1 ; i <= n ; i++)
	{
		b[i] = a[i];
	}
	cout << sub345::solve();
	return;
	do
	{
		for(int i = 1 ; i <= k ; i++)
		{
			a[i] = b[v[i - 1]];
		}
		
//		for(int i = 1 ; i <= n ; i++)
//		{
//			cout << a[i].x << ' ' << a[i].y << '\n';
//		}
//		
//		cout << sub345::solve() << '\n';
//		cout << "\n";
		
		ans = min(ans, sub345::solve());
	} while(next_permutation(v.begin(), v.end()));
	
	cout << setprecision(9) << fixed << ans ; 
}

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

	int q = 1;
	
	if(Multitest)	cin >> q;
	
	while(q--) work();
}
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