제출 #1094839

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
1094839		Kodik	Balloons (CEOI11_bal)	C++17	0 / 100	2062 ms	3420 KiB

bal

#include <bits/stdc++.h>
using namespace std;
#define ss second
#define ff first
typedef long long ll;
typedef long double ld;
#define int ll




bool check(ld nr, ld lr, ld nx, ld lx){
    ld radius = abs(nr-lr);
    ld distance = abs(nx-lx);
    ld pyt = lr + nr;
    return (radius*radius + distance*distance - pyt*pyt ) >= ld(1e-10);
}


signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int n;
    cin >> n;
    vector<ld> answer(n);
    stack<pair<ld,ld>> st;
    for(int i = 0; i < n; ++i){
        ld cor, mr; 
        cin >> cor >> mr;
        if(st.empty()){
            answer[i] = mr;
            st.push({mr,cor});
        }else{
            while(true){
                auto &[lr, lx] = st.top();
                ld l = 0, r = mr;
                while(r-l>1e-10){
                    ld mid = l + (r-l+1)/2;
                    if(check(mid, lr, cor, lx)){
                        l = mid;
                    }else{
                        r = mid;
                    }

                }
                mr = l;
                if(l>lr){
                    st.pop();
                    mr = l;
                    if(st.empty()){
                        answer[i] = mr;
                        st.push({mr,cor});
                        break;
                    }
                }else{
                    st.push({mr,cor});
                    answer[i] = mr;
                    break;
                }
            }
        }
    }
    for(int i = 0; i < n; ++i){
        cout << answer[i] << '\n';
    }
    return 0;   
}

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