Submission #1278409

#TimeUsernameProblemLanguageResultExecution timeMemory
1278409dostsLet's Win the Election (JOI22_ho_t3)C++20
100 / 100
258 ms2408 KiB
#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
#define int long long
#define pii pair<int,int>
#define vi vector<int>
#define ff first
#define ss second
#define sp << " " <<
#define all(x) x.begin(),x.end()
#define big(x) ((int)(x.size()))
using namespace std;
const int MOD = 1e9+7, LIM = 1e6+1, inf = 2e18;

const int N = 1e5+1;

void solve() {
    int n,k;
    cin >> n >> k;
    vector<pair<double,double>> ps(n+1);
    for (int i=1;i<=n;i++) {
        cin >> ps[i].ff >> ps[i].ss;
        if (ps[i].ss == -1) ps[i].ss = 1e18;
    }
    sort(1+all(ps),[&](pii p1,pii p2){
        return pii{p1.ss,p1.ff} < pii{p2.ss,p2.ff};
    });
    double ans = inf;
    double dp[n+1][n+1];
    for (int c = 0;c < k;c++) {
        for (int i = 0;i<=n;i++) for (int j = 0;j<=n;j++) dp[i][j] = inf;
        dp[0][0] = 0;
        for (int i = 0;i<=n;i++) {
            for (int j = 0;j<=n;j++) {
                if (dp[i][j] == inf) continue;
                int j2 = min(c,i-j);
                if (j2 < 0) continue;
                if (j+j2 == k && j2 == c) ans = min(ans,dp[i][j]);
                if (i == n) continue;
                dp[i+1][j+1] = min(dp[i+1][j+1],dp[i][j]+ps[i+1].ff/(c+1));
                dp[i+1][j] = min(dp[i+1][j],dp[i][j]+(j2!=c)*(ps[i+1].ss/(j2+1)));
            }
        }
    }
    cout << fixed << setprecision(16) << ans << '\n';
}

signed main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    int t = 1;
    //cin >> t;
    while (t --> 0) solve();
}
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