Submission #1264042

#TimeUsernameProblemLanguageResultExecution timeMemory
1264042goulthenLet's Win the Election (JOI22_ho_t3)C++20
100 / 100
2067 ms1004476 KiB
#include <bits/stdc++.h>
using namespace std;

#define int long long
#define rep(i,a,b) for (int i = a; i <= b; ++i)
#define pii pair<int,int>
#define fi first
#define se second
#define pb push_back
#define all(v) (v).begin(), (v).end()

const int MAXN = 510;
pii a[MAXN];
double dp[MAXN][MAXN][MAXN];

int32_t main() {
	ios_base::sync_with_stdio(0); cin.tie(nullptr);

	int n,k; cin >> n >> k;
	rep(i,1,n) {
		cin >> a[i].se >> a[i].fi;
		if (a[i].fi == -1) a[i].fi = (1LL<<60);
	}
	sort(a+1, a+n+1);
	double ans = (1LL<<60);
	rep(cc,0,k) {
		if (a[cc].fi == (1LL<<60)) break;
		rep(i,0,n) {
			rep(j,0,n) {
				if (i == j) {
					rep(k,0,cc) dp[i][j][k] = (1LL<<60);
				} else {
					dp[i][j][cc] = (1LL<<60);
				}
			}
		}
		
		dp[0][0][0] = 0;
		rep(i,1,n) {
			rep(j,0, min(i,k)) {
				if (i == j) {
					rep(k,0,min(j,cc)) {
						dp[i][j][k] = min(dp[i][j][k], dp[i-1][j][k]);
						if (j > 0 && k > 0) dp[i][j][k] = min(dp[i][j][k], dp[i-1][j-1][k-1] + (double)a[i].fi/(k));
						if (j > 0) dp[i][j][k] = min(dp[i][j][k], dp[i-1][j-1][k] + (double)a[i].se/(cc+1));
					}
				} else {
					dp[i][j][cc] = min(dp[i][j][cc], dp[i-1][j][cc]);
					if (j>0) dp[i][j][cc] = min(dp[i][j][cc], dp[i-1][j-1][cc] + (double)a[i].se/(cc+1));
				}
			}
		}

		ans = min(ans, dp[n][k][cc]);
	}
	
	cout << fixed << setprecision(15) << ans << '\n';
}
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