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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#501126#5151. Bottle FlipxixuAC ✓0ms3920kbC++201.0kb2024-08-02 14:34:482024-08-02 14:34:48

Judging History

你现在查看的是最新测评结果

  • [2024-08-02 14:34:48]
  • 评测
  • 测评结果:AC
  • 用时:0ms
  • 内存:3920kb
  • [2024-08-02 14:34:48]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
// #define int long long
typedef long long ll;
typedef pair<int , int> PII;


const int N = 1e5 + 10;

int h , rr , da , dw;

long double an(long double x)
{
    long double ans;
    ans = ((dw - da) * x * x + da * h * h) / (2 * ((dw - da) * x + da * h));
    return ans;
}

bool che(long double x)
{
    long double lo = x - 1e-6;
    if(an(lo) <= an(x)) return true;
    return false;
}

void solve()
{
    cin >> h >> rr >> da >> dw;

    long double l = 0 , r = h;

        // const double eps = 1e-6;   // eps 表示精度,取决于题目对精度的要求
        while (r - l > 1e-8)
        {
            long double mid = (l + r) / 2;
            if(che(mid)) r = mid;
            else l = mid;
        }
        
        cout << fixed << setprecision(10) << l << '\n';





}



signed main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);

    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: 3876kb

input:

22 4 1 4

output:

7.3333338285

result:

ok found '7.3333338', expected '7.3333333', error '0.0000001'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3872kb

input:

7 2 655 988

output:

3.1415946698

result:

ok found '3.1415947', expected '3.1415942', error '0.0000002'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3828kb

input:

1 1 1 2

output:

0.4142140597

result:

ok found '0.4142141', expected '0.4142136', error '0.0000005'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3680kb

input:

1000 1000 999 1000

output:

499.8749192964

result:

ok found '499.8749193', expected '499.8749375', error '0.0000000'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3884kb

input:

1000 1000 1 1000

output:

30.6534305273

result:

ok found '30.6534305', expected '30.6534300', error '0.0000000'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3868kb

input:

1 1000 1 1000

output:

0.0306539237

result:

ok found '0.0306539', expected '0.0306534', error '0.0000005'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3676kb

input:

1000 1000 482 483

output:

499.7409291245

result:

ok found '499.7409291', expected '499.7409326', error '0.0000000'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3820kb

input:

1 1000 482 483

output:

0.4997414276

result:

ok found '0.4997414', expected '0.4997409', error '0.0000005'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3780kb

input:

1 1000 1 2

output:

0.4142140597

result:

ok found '0.4142141', expected '0.4142136', error '0.0000005'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

1000 1000 1 2

output:

414.2135628281

result:

ok found '414.2135628', expected '414.2135624', error '0.0000000'

Test #11:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

961 1000 979 983

output:

480.0101883938

result:

ok found '480.0101884', expected '480.0101932', error '0.0000000'

Test #12:

score: 0
Accepted
time: 0ms
memory: 3920kb

input:

997 1000 977 983

output:

497.7369841635

result:

ok found '497.7369842', expected '497.7369880', error '0.0000000'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3828kb

input:

1 928 1 66

output:

0.1096010879

result:

ok found '0.1096011', expected '0.1096006', error '0.0000005'

Test #14:

score: 0
Accepted
time: 0ms
memory: 3876kb

input:

1 928 2 88

output:

0.1310063004

result:

ok found '0.1310063', expected '0.1310058', error '0.0000005'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3872kb

input:

1 928 3 74

output:

0.1676014066

result:

ok found '0.1676014', expected '0.1676009', error '0.0000005'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3812kb

input:

1 928 3 41

output:

0.2129093483

result:

ok found '0.2129093', expected '0.2129089', error '0.0000005'

Test #17:

score: 0
Accepted
time: 0ms
memory: 3828kb

input:

1 928 1 12

output:

0.2240097374

result:

ok found '0.2240097', expected '0.2240092', error '0.0000005'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3676kb

input:

2 928 89 93

output:

0.9890101552

result:

ok found '0.9890102', expected '0.9890097', error '0.0000005'

Test #19:

score: 0
Accepted
time: 0ms
memory: 3812kb

input:

7 928 51 72

output:

3.1990103750

result:

ok found '3.1990104', expected '3.1990099', error '0.0000002'

Test #20:

score: 0
Accepted
time: 0ms
memory: 3900kb

input:

722 547 709 752

output:

355.6863922188

result:

ok found '355.6863922', expected '355.6863918', error '0.0000000'

Test #21:

score: 0
Accepted
time: 0ms
memory: 3808kb

input:

242 742 518 920

output:

103.7429039555

result:

ok found '103.7429040', expected '103.7429035', error '0.0000000'

Test #22:

score: 0
Accepted
time: 0ms
memory: 3896kb

input:

873 701 43 201

output:

276.0875563371

result:

ok found '276.0875563', expected '276.0875558', error '0.0000000'

Test #23:

score: 0
Accepted
time: 0ms
memory: 3900kb

input:

268 228 527 562

output:

131.8460923869

result:

ok found '131.8460924', expected '131.8460919', error '0.0000000'

Test #24:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

312 558 341 839

output:

121.4683855735

result:

ok found '121.4683856', expected '121.4683851', error '0.0000000'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3824kb

input:

274 85 178 364

output:

112.7564911866

result:

ok found '112.7564912', expected '112.7564907', error '0.0000000'

Test #26:

score: 0
Accepted
time: 0ms
memory: 3816kb

input:

641 539 341 977

output:

238.0544392325

result:

ok found '238.0544392', expected '238.0544387', error '0.0000000'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

245 861 438 872

output:

101.6183844204

result:

ok found '101.6183844', expected '101.6183839', error '0.0000000'

Test #28:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

640 181 156 606

output:

215.4198353831

result:

ok found '215.4198354', expected '215.4198349', error '0.0000000'