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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#624236#8022. WalkerzthTL 1ms3964kbC++201.2kb2024-10-09 15:18:032024-10-09 15:18:06

Judging History

你现在查看的是最新测评结果

  • [2024-10-09 15:18:06]
  • 评测
  • 测评结果:TL
  • 用时:1ms
  • 内存:3964kb
  • [2024-10-09 15:18:03]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

const double eps = 1e-12;
double n, p1, v1, p2, v2;

double calc(double p, double v, double l, double r)
{
    double res = r - l;
    if(p > l && p < r) res += min(r - p, p - l);
    else if(p < l) res += l - p;
    else if(p > r) res += p - r;
    return res / v;
}

double check(double k)
{
    return calc(p1, v1, 0, k) - calc(p2, v2, k, n);
}

void solve()
{
    cin >> n >> p1 >> v1 >> p2 >> v2;
    if(fabs(p1 - p2) < eps)
    {
        cout << fixed << setprecision(10) << min(calc(p1, max(v1, v2), 0, n), min(max(calc(p1, v1, 0, p1), calc(p1, v2, p1, n)), max(calc(p1, v2, 0, p1), calc(p1, v1, p1, n)))) << '\n';
        return;
    }
    if(p1 > p2) swap(p1, p2), swap(v1, v2);
    double l = 0, r = n;
    while(r - l > eps)
    {
        double mid = (l + r) / 2;
        if(check(mid) > 0) r = mid;
        else l = mid;
    }
    cout << fixed << setprecision(10) << min(calc(p1, v1, 0, n), min(calc(p2, v2, 0, n), max(calc(p1, v1, 0, l), calc(p2, v2, l, n)))) << '\n';
}

int main()
{
    cin.tie(0)->sync_with_stdio(0);
    int t = 1;
    cin >> t;
    while(t--) solve();
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3704kb

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: 1ms
memory: 3852kb

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: 3828kb

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: 3900kb

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: 3960kb

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: 3836kb

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: 3884kb

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: 3844kb

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: 3904kb

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: 3964kb

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: 3704kb

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: 3904kb

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: 3860kb

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
Time Limit Exceeded

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:


result: