#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
#define ordered_set tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update>
#define ordered_pair_set tree<pair<ll, ll>, null_type, less<pair<ll, ll>>, rb_tree_tag, tree_order_statistics_node_update>
void solve()
{
ll n;
cin >> n;
stack<pair<ld, ld>> st;
for (int i = 0; i < n; i++)
{
ld pos, r;
cin >> pos >> r;
ld red = r;
if (st.size() == 0)
{
st.push({pos, red});
printf("%.3Lf\n", red);
}
else
{
bool ck = 0;
ld mn = r;
while (st.size())
{
ld a = st.top().second;
ld d = pos - st.top().first;
ld rr = (1.0 * d * d) / (4 * a);
mn = min(mn, rr);
if (rr < a)
{
printf("%.3Lf\n", mn);
st.push({pos, mn});
ck = 1;
break;
}
else
{
st.pop();
}
//cout << mn << " " << d << " " << a << "\n";
}
if (!ck)
{
st.push({pos, mn});
printf("%.3Lf\n", mn);
}
}
}
}
int main()
{
//ios::sync_with_stdio(false);
//cin.tie(nullptr);
cout << setprecision(20);
solve();
return 0;
}
/*
d^2 + (r-x)^2 = (r+x)^2
d^2 / 4r = x
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
10 numbers |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
2 numbers |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
505 numbers |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
5 ms |
348 KB |
504th numbers differ - expected: '160.9360000000', found: '163.0000000000', error = '2.0640000000' |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
44 ms |
348 KB |
653rd numbers differ - expected: '96.2810000000', found: '123.0000000000', error = '26.7190000000' |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
121 ms |
668 KB |
50000 numbers |
2 |
Incorrect |
121 ms |
596 KB |
49903rd numbers differ - expected: '443977872.4679999948', found: '1000000000.0000000000', error = '556022127.5320000648' |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
240 ms |
1260 KB |
14857th numbers differ - expected: '7169.6020000000', found: '7176.0000000000', error = '6.3980000000' |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
261 ms |
1364 KB |
23610th numbers differ - expected: '1467.9600000000', found: '1471.0000000000', error = '3.0400000000' |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
367 ms |
1856 KB |
12335th numbers differ - expected: '4957.2960000000', found: '4967.0000000000', error = '9.7040000000' |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
450 ms |
1864 KB |
7553rd numbers differ - expected: '198.8980000000', found: '220.0000000000', error = '21.1020000000' |
2 |
Halted |
0 ms |
0 KB |
- |