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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#73059#5151. Bottle FlipSorting#AC ✓3ms3708kbC++716b2023-01-21 19:25:472023-01-21 19:25:49

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-01-21 19:25:49]
  • 评测
  • 测评结果:AC
  • 用时:3ms
  • 内存:3708kb
  • [2023-01-21 19:25:47]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

long double h, r, da, dw;

long double calc(long double a){
    long double up = a * a * dw + (h * h - a * a) * da;
    long double down = a * dw + (h - a) * da;
    return up / down;
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(NULL);

    
    cin >> h >> r >> da >> dw;

    long double l2, r2;
    l2 = 0, r2 = h;

    long double EPS = 1e-9;
    while(r2 - l2 > EPS){
        long double mid1 = (2 * l2 + r2) / 3;
        long double mid2 = (l2 + 2 * r2) / 3;
        if(calc(mid1) < calc(mid2))
            r2 = mid2;
        else
            l2 = mid1;
    }

    cout << fixed << setprecision(9) << l2 << "\n";
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

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

input:

22 4 1 4

output:

7.333333332

result:

ok found '7.3333333', expected '7.3333333', error '0.0000000'

Test #2:

score: 0
Accepted
time: 2ms
memory: 3600kb

input:

7 2 655 988

output:

3.141594174

result:

ok found '3.1415942', expected '3.1415942', error '0.0000000'

Test #3:

score: 0
Accepted
time: 2ms
memory: 3528kb

input:

1 1 1 2

output:

0.414213562

result:

ok found '0.4142136', expected '0.4142136', error '0.0000000'

Test #4:

score: 0
Accepted
time: 2ms
memory: 3568kb

input:

1000 1000 999 1000

output:

499.874940036

result:

ok found '499.8749400', expected '499.8749375', error '0.0000000'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

1000 1000 1 1000

output:

30.653430036

result:

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

Test #6:

score: 0
Accepted
time: 2ms
memory: 3536kb

input:

1 1000 1 1000

output:

0.030653430

result:

ok found '0.0306534', expected '0.0306534', error '0.0000000'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3564kb

input:

1000 1000 482 483

output:

499.740935886

result:

ok found '499.7409359', expected '499.7409326', error '0.0000000'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

1 1000 482 483

output:

0.499740934

result:

ok found '0.4997409', expected '0.4997409', error '0.0000000'

Test #9:

score: 0
Accepted
time: 2ms
memory: 3564kb

input:

1 1000 1 2

output:

0.414213562

result:

ok found '0.4142136', expected '0.4142136', error '0.0000000'

Test #10:

score: 0
Accepted
time: 1ms
memory: 3600kb

input:

1000 1000 1 2

output:

414.213562387

result:

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

Test #11:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

961 1000 979 983

output:

480.010195061

result:

ok found '480.0101951', expected '480.0101932', error '0.0000000'

Test #12:

score: 0
Accepted
time: 2ms
memory: 3620kb

input:

997 1000 977 983

output:

497.736988592

result:

ok found '497.7369886', expected '497.7369880', error '0.0000000'

Test #13:

score: 0
Accepted
time: 2ms
memory: 3592kb

input:

1 928 1 66

output:

0.109600590

result:

ok found '0.1096006', expected '0.1096006', error '0.0000000'

Test #14:

score: 0
Accepted
time: 2ms
memory: 3568kb

input:

1 928 2 88

output:

0.131005804

result:

ok found '0.1310058', expected '0.1310058', error '0.0000000'

Test #15:

score: 0
Accepted
time: 1ms
memory: 3564kb

input:

1 928 3 74

output:

0.167600907

result:

ok found '0.1676009', expected '0.1676009', error '0.0000000'

Test #16:

score: 0
Accepted
time: 2ms
memory: 3648kb

input:

1 928 3 41

output:

0.212908855

result:

ok found '0.2129089', expected '0.2129089', error '0.0000000'

Test #17:

score: 0
Accepted
time: 2ms
memory: 3588kb

input:

1 928 1 12

output:

0.224009237

result:

ok found '0.2240092', expected '0.2240092', error '0.0000000'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

2 928 89 93

output:

0.989009663

result:

ok found '0.9890097', expected '0.9890097', error '0.0000000'

Test #19:

score: 0
Accepted
time: 2ms
memory: 3564kb

input:

7 928 51 72

output:

3.199009879

result:

ok found '3.1990099', expected '3.1990099', error '0.0000000'

Test #20:

score: 0
Accepted
time: 2ms
memory: 3564kb

input:

722 547 709 752

output:

355.686392319

result:

ok found '355.6863923', expected '355.6863918', error '0.0000000'

Test #21:

score: 0
Accepted
time: 2ms
memory: 3644kb

input:

242 742 518 920

output:

103.742903463

result:

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

Test #22:

score: 0
Accepted
time: 1ms
memory: 3636kb

input:

873 701 43 201

output:

276.087555861

result:

ok found '276.0875559', expected '276.0875558', error '0.0000000'

Test #23:

score: 0
Accepted
time: 2ms
memory: 3640kb

input:

268 228 527 562

output:

131.846091915

result:

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

Test #24:

score: 0
Accepted
time: 2ms
memory: 3604kb

input:

312 558 341 839

output:

121.468385102

result:

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

Test #25:

score: 0
Accepted
time: 2ms
memory: 3640kb

input:

274 85 178 364

output:

112.756490744

result:

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

Test #26:

score: 0
Accepted
time: 3ms
memory: 3708kb

input:

641 539 341 977

output:

238.054438834

result:

ok found '238.0544388', expected '238.0544387', error '0.0000000'

Test #27:

score: 0
Accepted
time: 2ms
memory: 3584kb

input:

245 861 438 872

output:

101.618383950

result:

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

Test #28:

score: 0
Accepted
time: 2ms
memory: 3704kb

input:

640 181 156 606

output:

215.419834944

result:

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