QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#657444 | #8022. Walker | yumingsk# | WA | 14ms | 3912kb | C++20 | 2.6kb | 2024-10-19 14:46:45 | 2024-10-19 14:46:47 |
Judging History
answer
#pragma GCC optimize(3, "Ofast", "inline")
#include <iostream>
#include <bits/stdc++.h>
#define IOS ios::sync_with_stdio(false), cin.tie(0), cout.tie(0)
#define INF 0x3f3f3f3f
#define L_INF 0x7f3f3f3f3f3f3f3f
#define db cout << "debug\n";
using namespace std;
const int Mod = 998244353;
using ll = long long;
double abs2(double a) { return a < 0 ? -a : a; }
double max(double a, double b) { return a > b ? a : b; }
double min(double a, double b) { return a < b ? a : b; }
double n, p1, p2, v1, v2, t, minn, p;
void solve()
{
cin >> n >> p1 >> v1 >> p2 >> v2;
if (p2 < p1)
{
t = p1;
p1 = p2;
p2 = t;
t = v1;
v1 = v2;
v2 = t;
}
minn = min((n / 2 - abs2(n / 2 - p1) + n) / v1, (n / 2 - abs2(n / 2 - p2) + n) / v2);
p = (p2 * v1 + n * v1 - p1 * v2) / (2 * v1 + v2);
if (p1 <= p && p <= p2)
{
minn = min(minn, max(min((p + p1) / v1, (p * 2 - p1) / v1), min((n + p2 - p * 2) / v2, (n * 2 - p - p2) / v2)));
}
p = (p2 * v1 + n * v1 + p1 * v2) / (2 * v1 + 2 * v2);
if (p1 <= p && p <= p2)
{
minn = min(minn, max(min((p + p1) / v1, (p * 2 - p1) / v1), min((n + p2 - p * 2) / v2, (n * 2 - p - p2) / v2)));
}
p = (0 - p1 * v2 + 2 * n * v1 - p2 * v1) / (v1 + v2);
if (p1 <= p && p <= p2)
{
minn = min(minn, max(min((p + p1) / v1, (p * 2 - p1) / v1), min((n + p2 - p * 2) / v2, (n * 2 - p - p2) / v2)));
}
p = (p1 * v2 + 2 * n * v1 - p2 * v1) / (v1 + 2 * v2);
if (p1 <= p && p <= p2)
{
minn = min(minn, max(min((p + p1) / v1, (p * 2 - p1) / v1), min((n + p2 - p * 2) / v2, (n * 2 - p - p2) / v2)));
}
p = p1;
if (p1 <= p && p <= p2)
{
minn = min(minn, max(min((p + p1) / v1, (p * 2 - p1) / v1), min((n + p2 - p * 2) / v2, (n * 2 - p - p2) / v2)));
}
p = p2;
if (p1 <= p && p <= p2)
{
minn = min(minn, max(min((p + p1) / v1, (p * 2 - p1) / v1), min((n + p2 - p * 2) / v2, (n * 2 - p - p2) / v2)));
}
cout << fixed << setprecision(10) << minn << '\n';
}
int main()
{
IOS;
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
#ifndef ONLINE_JUDGE
clock_t start_time = clock();
#endif
int t = 1;
cin >> t;
while (t--)
{
solve();
}
#ifndef ONLINE_JUDGE
cout << "Used " << (double)(clock() - start_time) << " ms" << endl;
#endif
return 0;
}
// (p*2-p1)/v1==(2*n-p-p2)/v2
// p*(2/v1+1/v2)==(2*n-p2)/v2+p1/v1
// (p+p1)/v1==(p2+n-2*p)/v2
// p*(1/v1+2/v2)==(p2+n)/v2+p1/v1
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3904kb
input:
2 10000.0 1.0 0.001 9999.0 0.001 4306.063 4079.874 0.607 1033.423 0.847
output:
5001000.0000000000 3827.8370013755
result:
ok 2 numbers
Test #2:
score: 0
Accepted
time: 0ms
memory: 3856kb
input:
1 10.0 1.0 10.0 9.0 0.1
output:
1.1000000000
result:
ok found '1.1000000', expected '1.1000000', error '0.0000000'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
1 10.0 8.0 10.0 9.0 0.1
output:
1.2000000000
result:
ok found '1.2000000', expected '1.2000000', error '0.0000000'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3904kb
input:
1 10.0 8.0 0.1 9.0 10
output:
1.1000000000
result:
ok found '1.1000000', expected '1.1000000', error '0.0000000'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
1 10.0 2.0 0.1 3.0 10
output:
1.3000000000
result:
ok found '1.3000000', expected '1.3000000', error '0.0000000'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
1 10.0 9.0 0.1 8.0 10.0
output:
1.2000000000
result:
ok found '1.2000000', expected '1.2000000', error '0.0000000'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
1 10.0 4.0 0.1 6.0 0.1
output:
60.0000000000
result:
ok found '60.0000000', expected '60.0000000', error '0.0000000'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3908kb
input:
1 10.0 4.5 0.1 6.0 0.1
output:
57.5000000000
result:
ok found '57.5000000', expected '57.5000000', error '0.0000000'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3904kb
input:
1 10.0 1.0 1.0 8.0 1.0
output:
6.5000000000
result:
ok found '6.5000000', expected '6.5000000', error '0.0000000'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
1 10.0 3.0 2.0 7.0 1.0
output:
4.6000000000
result:
ok found '4.6000000', expected '4.6000000', error '0.0000000'
Test #11:
score: 0
Accepted
time: 0ms
memory: 3908kb
input:
1 10.0 6.0 2.0 7.0 1.0
output:
3.6666666667
result:
ok found '3.6666667', expected '3.6666667', error '0.0000000'
Test #12:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
1 10.0 1.0 1.0 9.0 1.0
output:
6.0000000000
result:
ok found '6.0000000', expected '6.0000000', error '0.0000000'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
1 10000.0 1.0 0.001 1.0 0.001
output:
9999000.0000000000
result:
ok found '9999000.0000000', expected '9999000.0000000', error '0.0000000'
Test #14:
score: 0
Accepted
time: 0ms
memory: 3908kb
input:
1 10.0 5.0 1.0 5.0 1.5
output:
5.0000000000
result:
ok found '5.0000000', expected '5.0000000', error '0.0000000'
Test #15:
score: -100
Wrong Answer
time: 14ms
memory: 3864kb
input:
10000 4306.063 4079.874 0.607 1033.423 0.847 8967.336 8026.500 0.398 283.019 0.876 9568.147 4481.616 0.405 800.114 0.684 9867.264 6184.040 0.312 9853.164 0.641 3344.364 730.612 0.539 1305.868 0.947 9336.180 3672.113 0.773 432.686 0.312 1468.243 59.762 0.840 1438.446 0.827 1355.133 1096.314 0.373 109...
output:
3827.8370013755 7999.3649921507 12559.3358024691 15415.5444617785 2637.6985195155 9931.0415175376 934.4943011398 4326.9490616622 5754.0328898744 2847.4271570014 10975.3236282195 2902.1791044776 24531.5363636364 6278.1035548686 1030.0000000000 10734.3956442831 1005.0770288858 24249.7467811159 9878.00...
result:
wrong answer 4th numbers differ - expected: '15371.5507020', found: '15415.5444618', error = '0.0028620'