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>
#define ll long long
#define fi first
#define se second
#define endl '\n'
#define mask(i) (1LL << (i))
#define task "name"
#define ull unsigned long long
using namespace std;
const ll mxN = 220797 + 7;
const ll inf = 1e9 + 277;
const ll mod = 2147483648;
const ll infll = 1e18 + 7;
const ll base = 307;
const double eps = 0.001;
template <typename T1, typename T2> bool minimize(T1 &a, T2 b) {
if (a > b) {a = b; return true;} return false;
}
template <typename T1, typename T2> bool maximize(T1 &a, T2 b) {
if (a < b) {a = b; return true;} return false;
}
struct cicrle{
int x;
double r;
} a[mxN];
double ans[mxN];
double dist(double x , double y , double u , double v)
{
return (x - u) * (x - u) + (y - v) * (y - v);
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
//freopen("task.inp" , "r" , stdin);
// freopen("task.out" , "w" , stdout);
int n;
cin >> n;
for(int i = 1 ; i <= n ; i++) cin >> a[i].x >> a[i].r;
ans[1] = a[1].r;
stack<pair<double , double>> s;
s.push({a[1].x , a[1].r});
for(int i = 2 ; i <= n ; i++) {
double R = a[i].r;
while((int) s.size() != 0) {
double lo = 0 , hi = a[i].r;
double x = s.top().fi;
double r = s.top().se;
for(int j = 1 ; j <= 100 ; j++) {
double mid = (lo + hi) / 2;
if(dist(x , r , a[i].x , mid) >= (r + mid) * (r + mid)) lo = mid;
else hi = mid;
}
R = min(R , lo);
if(R >= s.top().se) s.pop();
else break;
}
ans[i] = R;
s.push({a[i].x , ans[i]});
}
for(int i = 1 ; i <= n ; i++) {
cout << fixed << setprecision(3) << ans[i] << endl;
}
return 0;
}
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