이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include<bits/stdc++.h>
using namespace std;
#define debug(...) 40
using ll = long long;
using pii = pair<int,int>;
using db = double;
#define el cout << '\n'
#define fi first
#define se second
#define pb push_back
#define all(x) x.begin(), x.end()
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FOD(i, a, b) for (int i = (a); i >= (b); i--)
#define REP(i, n) for (int i = 0; i < (n); i++)
template <class T1, class T2>bool chmax(T1 &a, T2 b){return a < b ? a = b, 1 : 0;}
template <class T1, class T2>bool chmin(T1 &a, T2 b){return a > b ? a = b, 1 : 0;}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int maxn = 2e5 + 5;
const ll mod = 1e9 + 7;
db calc(pair<db, db> b, db x){
return (b.fi - x) * (b.fi - x) / (4 * b.se);
}
void solve(){
int n;
cin >> n;
stack<pair<db, db>> s;
vector<db> val(n);
for (int i = 0; i < n; i++){
double x, r;
cin >> x >> r;
double mi = r;
while(s.size()){
auto [x1, y1] = s.top();
db val = calc({x1, y1}, x);
chmin(mi, val);
if (mi >= y1) s.pop();
else break;
}
s.push({x, mi});
val[i] = mi;
}
cout << setprecision(3) << fixed;
for (auto v : val) cout << v << "\n";
}
int32_t main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int tests = 1;
// cin >> tests;
for (int _ = 1; _ <= tests; _++){
cerr << "- Case #" << _ << ": \n";
solve();
el;
}
return 0;
}
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