Submission #548951

#TimeUsernameProblemLanguageResultExecution timeMemory
548951ertoBalloons (CEOI11_bal)C++17
20 / 100
393 ms2476 KiB
#include <bits/stdc++.h>
typedef long long int ll;
#define INF (1e9 + 7)
#define INF2 (998244353)
#define N (ll)1e6+1005
using namespace std;

int n;
long double g, t, h, t1, t2, t3;
long double ans2;
stack<pair<long double, long double>> s;

long double f(long double x, long double y){
    long double t1 = y * y, l=0, r=y, mid, ans = 1e9;
    while(r - l >= (1e-10)){
        mid = (r + l) / 2.0;
        if(t1 + (x - mid) * (x - mid) <= (mid + x) * (mid + x)){
            ans = mid;
            r = mid;
        }
        else{
            l = mid;
        }
    }
    return ans;
}

void solve(){
    cin >> n;
    for(int i=1; i<=n; i++){
        cin >> g >> h;
        t = h;
        while(!s.empty()){
            tie(t1, t2) = s.top();
            ans2 = f(t2, (g - t1));
            t = min(t, ans2);
            if(t2 > t)break;
            s.pop();
        }
        cout <<fixed << setprecision(6)<< t<<'\n';
        s.push({g, t});
    }
}   

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