제출 #1148845

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
1148845		LilPluton	Balloons (CEOI11_bal)	C++20	0 / 100	174 ms	9040 KiB

bal

#include <bits/stdc++.h>
using namespace std;
#define ld long double 
#define ll long long
#define eb emplace_back
const int inf = 1e9;

signed main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    
    auto check = [&](int x1, ld y1, int x2, ld y2) -> bool {
        ld dist = sqrtl((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2));
        return dist <= (y1 + y2);
    };

    ld eps = 1e-9; 
    int n;
    cin >> n;
    vector<int> x(n);
    vector<ld> rr(n), ans(n);
    
    for(int i = 0; i < n; ++i){
        cin >> x[i] >> rr[i];
        if(i == 0){
            ans[i] = rr[i]; 
        } else {
            ld l = 0.0, r = rr[i], best = r;
            while(r - l > eps){
                ld mid = (l + r) / 2;
                if(!check(x[i - 1], ans[i - 1], x[i], mid)){
                    best = mid;
                    l = mid;    
                } else {
                    r = mid;
                }
            }
            ans[i] = best;
        }
    } 

    cout << fixed << setprecision(3);
    for(int i = 0; i < n; ++i){
        cout << ans[i] << '\n';
    }
}

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