//dung stack de tim voi tat ca cac phan tu trong mang:
//phan tu gan nhat ve phia ben trai nho hon a[i]/lon hon a[i];
//stack chi tim duoc gan nhat
//tinh chat monotone:
//gia su khi them vao phan tu a[i] ta pop stack den phan tu a[j] thi cac phan tu a[t] sao cho j<t<i la mot day don dieu (MONOTONE)
//do ta pop tu a[i] den a[j] va pop het cac phan tu a[t] suy ra cac phan tu a[t] phai cung thoa man mot tinh chat nao neu khong thi khi them vao mot phan tu trong doan a[t] thi ta buoc phai pop mot so phan tu khac do mau thuan ve tinh chat
#include <bits/stdc++.h>
using namespace std;
stack<pair<long double, long double>>potential;
long double process(long double x, long double r){
while (!potential.empty()){
r=min(r, ((x-potential.top().first)*(x-potential.top().first))/(4*potential.top().second));
if (r>potential.top().second) potential.pop();
else break;
}
potential.push({x, r});
return r;
}
int n;
long double x[300005];
long double r[300005];
int main(){
cin>>n;
for (int i=1;i <=n; i++){
cin>>x[i]>>r[i];
}
for (int i=1;i <=n; i++){
cout<<fixed<<setprecision(3)<<process(x[i], r[i])<<'\n';
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
10 numbers |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
2 numbers |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
505 numbers |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
332 KB |
2000 numbers |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
29 ms |
1324 KB |
20000 numbers |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
98 ms |
3304 KB |
50000 numbers |
2 |
Correct |
87 ms |
3908 KB |
49912 numbers |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
170 ms |
5996 KB |
100000 numbers |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
185 ms |
6888 KB |
115362 numbers |
2 |
Correct |
210 ms |
9080 KB |
119971 numbers |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
250 ms |
8904 KB |
154271 numbers |
2 |
Correct |
343 ms |
14908 KB |
200000 numbers |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
322 ms |
10920 KB |
200000 numbers |
2 |
Correct |
332 ms |
14908 KB |
199945 numbers |