Submission #958756

#TimeUsernameProblemLanguageResultExecution timeMemory
958756steveonalexSure Bet (CEOI17_sure)C++17
100 / 100
71 ms4524 KiB
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef unsigned long long ull;

#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()

ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}

ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ll mask){return __builtin_ctzll(mask);}
int logOf(ll mask){return 63 - __builtin_clzll(mask);}

mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
// mt19937_64 rng(69);
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}

template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b) {a = b; return true;}
        return false;
    }

template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b) {a = b; return true;}
        return false;
    }

template <class T>
    void printArr(T& container, string separator = " ", string finish = "\n", ostream &out = cout){
        for(auto item: container) out << item << separator;
        out << finish;
    }

template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }


 
int main(void){
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    int n; cin >> n;
    vector<double> a(n), b(n);
    for(int i = 0; i<n; ++i) cin >> a[i] >> b[i];

    sort(ALL(a), greater<double>()); sort(ALL(b), greater<double>());

    vector<double> pref = b;
    for(double &i: pref) i -= 1;
    for(int i = 1; i<n; ++i) pref[i] += pref[i-1];

    cout << fixed << setprecision(4);

    double l = 0, r = 1e9;
    for(int iteration = 0; iteration < 70; ++iteration){
        double x = (l + r) / 2;
        bool check = false;
        double sum1 = 0;
        for(int i = 0; i<n; ++i){
            sum1 += a[i] - 1;
            if (sum1 >= x){
                int bruh = (int) (sum1 - x);
                minimize(bruh, n);
                if (bruh == 0){
                    if (x == 0) check = true;
                }
                else{
                    if (pref[bruh - 1] >= x + (i + 1)) check = true;
                }
            }
        }

        if (check) l = x;
        else r = x;
    }

    cout << l << "\n";
 
    return 0;
}
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