#include <bits/stdc++.h>
#define fastIO ios_base::sync_with_stdio(false); cin.tie(NULL)
#define file(a) freopen(a".inp","r",stdin); freopen(a".out", "w",stdout)
#define fi first
#define se second
#define endl "\n"
#define len(s) int32_t(s.length())
#define MASK(k)(1LL<<(k))
#define TASK "test"
#define int long long
#define double long double
using namespace std;
typedef tuple<int, int, int> tpiii;
typedef pair<double, double> pdd;
typedef pair<int, int> pii;
typedef long long ll;
const long long OO = 1e18;
const int MOD = 1e9 + 7;
const int INF = 1e9;
const int MX = 200005;
int n;
pdd a[MX];
pdd v[MX];
void nhap(){
cin >> n;
for(int i=1; i<=n; i++) cin >> a[i].fi >> a[i].se;
}
double sqr(double x){
return x*x;
}
double euler(pdd a, pdd b){
return sqrt(sqr(a.fi - b.fi) + sqr(a.se - b.se));
}
double dis(pdd ball, double p){
double lo=0, hi=INF;
for(int t=0; t<45; t++){
double mid = (lo+hi)/2;
if(euler(ball, {p, mid}) >= mid + ball.se) lo = mid;
else hi = mid;
}
return (lo + hi)/2;
}
void solve(){
int id = 0;
// for(int i=1; i<=n; i++){
// for(int j=1; j<i; j++) a[i].se = min(a[i].se, dis(a[j], a[i].fi));
// cout << setprecision(3) << fixed << a[i].se << endl;
// }
for(int i=1; i<=n; i++){
while(id>1){
double dis1 = dis(v[id], a[i].fi);
double dis2 = dis(v[id - 1], a[i].fi);
if(dis1 > dis2) id--;
else break;
}
v[id+1] = {a[i].fi, min(a[i].se, id==0? 1e10 : dis(v[id], a[i].fi))};
id++;
while(id>1 && v[id].se > v[id-1].se) v[id-1] = v[id], id--;
cout << fixed << setprecision(3) << v[id].se << '\n';
}
}
int32_t main(){
fastIO;
//file(TASK);
nhap();
solve();
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2648 KB |
10 numbers |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2648 KB |
2 numbers |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
3 ms |
2396 KB |
53rd numbers differ - expected: '213.0000000000', found: '235.0000000000', error = '22.0000000000' |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
7 ms |
2396 KB |
504th numbers differ - expected: '160.9360000000', found: '163.0000000000', error = '2.0640000000' |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
69 ms |
4700 KB |
653rd numbers differ - expected: '96.2810000000', found: '123.0000000000', error = '26.7190000000' |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
185 ms |
7196 KB |
14174th numbers differ - expected: '0.7720000000', found: '1.3710000000', error = '0.5990000000' |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
345 ms |
9552 KB |
7458th numbers differ - expected: '1.9040000000', found: '8.0000000000', error = '6.0960000000' |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
388 ms |
10004 KB |
4850th numbers differ - expected: '0.7590000000', found: '4.0000000000', error = '3.2410000000' |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
615 ms |
12044 KB |
1751st numbers differ - expected: '1868.0130000000', found: '1868.0110000000', error = '0.0020000000' |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
874 ms |
10252 KB |
2723rd numbers differ - expected: '859.0470000000', found: '859.0580000000', error = '0.0110000000' |
2 |
Halted |
0 ms |
0 KB |
- |