Submission #1220499

#TimeUsernameProblemLanguageResultExecution timeMemory
1220499Br3adBalloons (CEOI11_bal)C++20
0 / 100
216 ms10932 KiB
#include <iostream>
#include <fstream>
#include <iomanip>
#include <algorithm>
#include <functional>
#include <numeric>
#include <cstring>
#include <string>
#include <cmath>
#include <vector>
#include <queue>
#include <stack>
#include <set>
#include <map>

using namespace std;
#define ll long long
#define ull unsigned long long
#define ld long double
#define f first
#define s second
#define PF push_front
#define PB push_back
#define MP make_pair
#define pi pair<int, int>

#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(), v.rend()

#define max(a, b) ((a > b)? a : b)
#define min(a, b) ((a < b)? a : b)
#define max3(a, b, c) max(max(a, b), c)
#define min3(a, b, c) min(min(a, b), c)

const int N = 2e5 + 5;
const int M = 1e9 + 7; 
const int inf = 0x3f3f3f3f;
const ll int INF = 1e18;

vector<ld> ans(N), v(N), r(N);
ld get_radius(int a, int b){
    ld dis = v[b] - v[a];
    ld res = (dis*dis)/(4*ans[a]);
    res = min(res, r[b]);
    return res;
}

int main(){
    
    ios::sync_with_stdio(false);
    cin.tie(NULL);
    
    // ifstream cin();
    // ofstream cout();
    
    int n;
    cin >> n;

    for(int i = 1; i <= n; i++) cin >> v[i] >> r[i];
    
    stack<int> st;

    st.push(1);
    ans[1] = r[1];

    for(int i = 2; i <= n; i++){
        ld cur = INF;
        while(!st.empty()){
            ld tmp = get_radius(st.top(), i);
            cur = min(cur, tmp);
            if(cur >= ans[st.top()]){
                st.pop();
            }else {
                st.push(i);
                ans[i] = cur;
                break;
            }
        }
    }

    cout << fixed << setprecision(3);
    for(int i = 1; i <= n; i++) cout << ans[i] << endl;
}
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