Submission #529448

#TimeUsernameProblemLanguageResultExecution timeMemory
529448wiwihoLet's Win the Election (JOI22_ho_t3)C++14
56 / 100
2589 ms1076 KiB
#include <bits/stdc++.h>

#define iter(a) a.begin(), a.end()
#define mp make_pair
#define F first
#define S second
#define eb emplace_back
#define lsort(a) sort(iter(a))
#define gsort(a) sort(iter(a), greater<>())

using namespace std;

typedef long long ll;
typedef long double ld;

using pii = pair<int, int>;

ll iceil(ll a, ll b){
    return (a + b - 1) / b;
}

int n, k;
vector<int> a, b;

ld calc(int cnt){

    vector<vector<ld>> dp(cnt + 1, vector<ld>(k + 1, 1e87));
    dp[0][0] = 0;

    for(int i = 1; i <= n; i++){
        for(int c1 = cnt; c1 >= 0; c1--){
            for(int c2 = k; c2 >= 0; c2--){
                if(dp[c1][c2] == 1e87) continue;
                if(c1 < cnt && b[i] != -1) dp[c1 + 1][c2] = min(dp[c1 + 1][c2], dp[c1][c2] + (ld)b[i] / (c1 + 1));
                if(c2 < k) dp[c1][c2 + 1] = min(dp[c1][c2 + 1], dp[c1][c2] + (ld)a[i] / (cnt + 1));
            }
        }
    }

    return dp[cnt][k - cnt];
}

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

    cin >> n >> k;
    a.resize(n + 1);
    b.resize(n + 1);

    vector<pii> tmp(n + 1);
    for(int i = 1; i <= n; i++) cin >> tmp[i].F >> tmp[i].S;
    sort(tmp.begin() + 1, tmp.end(), [&](pii a, pii b){ return a.S < b.S; });

    for(int i = 1; i <= n; i++) a[i] = tmp[i].F, b[i] = tmp[i].S;

    ld ans = 1e87;
    for(int i = 0; i <= k; i++) ans = min(ans, calc(i));

    cout << fixed << setprecision(20) << ans << "\n";

    return 0;
}
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