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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#206239#5151. Bottle Flipwillow#AC ✓1ms4144kbC++17843b2023-10-07 19:36:022023-10-07 19:36:03

Judging History

你现在查看的是最新测评结果

  • [2023-10-07 19:36:03]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:4144kb
  • [2023-10-07 19:36:02]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
const __float128 eps = 1e-15;
__float128 one = 1;
int Dcmp(__float128 x) {
    return x < -eps ? -1 : x > eps ? 1 : 0;
}
int h, r, da, dw;
__float128 Calc(__float128 H) {
    return (one * H * H / 2 * dw + one * (H + h) / 2 * da * (h - H)) / (one * H * dw + one * (h - H) * da);
}
int main() {
    scanf("%d%d%d%d", &h, &r, &da, &dw);

    // printf("%.15Lf\n", (-2. * h + sqrtl(4. * h * h + 4. * h * h * (dw - da))) / (2. * (dw - da)));

    __float128 hl = 0, hr = h;
    for(int T = 1; T <= 200; ++ T) {
        __float128 lmid = hl + (hr - hl) / 3, rmid = hr - (hr - hl) / 3;
        // if(Dcmp(Calc(lmid) - Calc(rmid)) > 0)
        if(Calc(lmid) > Calc(rmid))
            hl = lmid;
        else
            hr = rmid;
    }
    printf("%.15Lf\n", (long double)hl);
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 4116kb

input:

22 4 1 4

output:

7.333333333333333

result:

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

Test #2:

score: 0
Accepted
time: 0ms
memory: 3908kb

input:

7 2 655 988

output:

3.141594172020043

result:

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

Test #3:

score: 0
Accepted
time: 1ms
memory: 3824kb

input:

1 1 1 2

output:

0.414213562373095

result:

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

Test #4:

score: 0
Accepted
time: 1ms
memory: 3808kb

input:

1000 1000 999 1000

output:

499.874937460909905

result:

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

Test #5:

score: 0
Accepted
time: 1ms
memory: 3876kb

input:

1000 1000 1 1000

output:

30.653430031715508

result:

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

Test #6:

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

input:

1 1000 1 1000

output:

0.030653430031716

result:

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

Test #7:

score: 0
Accepted
time: 0ms
memory: 3932kb

input:

1000 1000 482 483

output:

499.740932572936783

result:

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

Test #8:

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

input:

1 1000 482 483

output:

0.499740932572937

result:

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

Test #9:

score: 0
Accepted
time: 0ms
memory: 4144kb

input:

1 1000 1 2

output:

0.414213562373095

result:

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

Test #10:

score: 0
Accepted
time: 0ms
memory: 4084kb

input:

1000 1000 1 2

output:

414.213562373095037

result:

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

Test #11:

score: 0
Accepted
time: 0ms
memory: 4120kb

input:

961 1000 979 983

output:

480.010193170954147

result:

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

Test #12:

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

input:

997 1000 977 983

output:

497.736988008349539

result:

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

Test #13:

score: 0
Accepted
time: 0ms
memory: 3932kb

input:

1 928 1 66

output:

0.109600590840553

result:

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

Test #14:

score: 0
Accepted
time: 0ms
memory: 3928kb

input:

1 928 2 88

output:

0.131005804202577

result:

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

Test #15:

score: 0
Accepted
time: 0ms
memory: 4112kb

input:

1 928 3 74

output:

0.167600907404948

result:

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

Test #16:

score: 0
Accepted
time: 0ms
memory: 4124kb

input:

1 928 3 41

output:

0.212908855431827

result:

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

Test #17:

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

input:

1 928 1 12

output:

0.224009237739796

result:

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

Test #18:

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

input:

2 928 89 93

output:

0.989009661675423

result:

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

Test #19:

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

input:

7 928 51 72

output:

3.199009876724156

result:

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

Test #20:

score: 0
Accepted
time: 0ms
memory: 3912kb

input:

722 547 709 752

output:

355.686391819275643

result:

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

Test #21:

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

input:

242 742 518 920

output:

103.742903461123859

result:

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

Test #22:

score: 0
Accepted
time: 0ms
memory: 3964kb

input:

873 701 43 201

output:

276.087555847830570

result:

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

Test #23:

score: 0
Accepted
time: 0ms
memory: 4000kb

input:

268 228 527 562

output:

131.846091936330262

result:

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

Test #24:

score: 0
Accepted
time: 0ms
memory: 3952kb

input:

312 558 341 839

output:

121.468385077943421

result:

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

Test #25:

score: 0
Accepted
time: 0ms
memory: 4108kb

input:

274 85 178 364

output:

112.756490692064425

result:

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

Test #26:

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

input:

641 539 341 977

output:

238.054438740428237

result:

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

Test #27:

score: 0
Accepted
time: 0ms
memory: 3940kb

input:

245 861 438 872

output:

101.618383921872925

result:

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

Test #28:

score: 0
Accepted
time: 0ms
memory: 4000kb

input:

640 181 156 606

output:

215.419834890887064

result:

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