QOJ.ac
QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#242709 | #7331. The Catcher in the Rye | PetroTarnavskyi# | AC ✓ | 210ms | 3872kb | C++20 | 1.8kb | 2023-11-07 16:30:13 | 2023-11-07 16:30:13 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define FOR(i, a, b) for(int i = (a); i < (b); i++)
#define RFOR(i, a, b) for(int i = (a) - 1; i >= (b); i--)
#define SZ(a) int(a.size())
#define ALL(a) a.begin(), a.end()
#define PB push_back
#define MP make_pair
#define F first
#define S second
typedef long long LL;
typedef vector<int> VI;
typedef pair<int, int> PII;
typedef double db;
db hipot(db a, db b)
{
return sqrt(a * a + b * b);
}
db h, a, b, c, va, vb, vc;
db f(db x, db y)
{
db res = 0;
res += hipot(a, x) / va;
res += hipot(b, (y - x)) / vb;
res += hipot(c, h - y) / vc;
return res;
}
db fBC(db x)
{
double l = 0, r = h;
const db coef = (-1 + sqrt(5)) / 2;
const int M = 47;
db m1 = r - coef * (r - l), fm1 = f(x, m1),
m2 = l + coef * (r - l), fm2 = f(x, m2);
FOR(i, 0, M)
{
if (fm1 < fm2)
{
r = m2;
m2 = m1;
fm2 = fm1;
m1 = r - coef * (r - l);
fm1 = f(x, m1);//
}
else
{
l = m1;
m1 = m2;
fm1 = fm2;
m2 = l + coef * (r - l);
fm2 = f(x, m2);//
}
}
return f(x, (l + r) / 2);
}
db fAB()
{
double l = 0, r = h;
const db coef = (-1 + sqrt(5)) / 2;
const int M = 47;
db m1 = r - coef * (r - l), fm1 = fBC(m1),
m2 = l + coef * (r - l), fm2 = fBC(m2);
FOR(i, 0, M)
{
if (fm1 < fm2)
{
r = m2;
m2 = m1;
fm2 = fm1;
m1 = r - coef * (r - l);
fm1 = fBC(m1);//
}
else
{
l = m1;
m1 = m2;
fm1 = fm2;
m2 = l + coef * (r - l);
fm2 = fBC(m2);//
}
}
return fBC((l + r) / 2);
}
void solve()
{
cin >> h >> a >> b >> c >> va >> vb >> vc;
cout << fAB() << "\n";
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout << fixed << setprecision(15);
int t;
cin >> t;
while(t--)
solve();
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 3820kb
input:
2 10 3 4 3 1 1 1 21 5 12 4 4 3 4
output:
14.142135623730951 8.750000000000000
result:
ok 2 numbers
Test #2:
score: 0
Accepted
time: 210ms
memory: 3872kb
input:
10000 60522 14575 36426 79445 48772 90081 33447 90629 3497 47202 7775 94325 63982 4784 68417 2156 31932 35902 95728 78537 23857 30739 86918 29211 39679 38506 63340 86568 61868 60016 87940 96263 24593 1449 36991 90310 23355 77068 11431 8580 91757 49218 74934 94328 63676 29355 96221 99080 95922 31545 ...
output:
3.329500973126874 3.127387405727989 2.406279072474765 3.230771222357278 66.089547619093295 4.221960867080583 2.077557307407373 13.350847342148525 4.077427101679749 7.162318243909162 4.234664115125492 1.470864692147083 11.046488792123466 0.970222097745816 3.360088278626117 5.661612179733453 4.8966236...
result:
ok 10000 numbers