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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#96433#5151. Bottle FlipIsaacMoris#AC ✓2ms3776kbC++141022b2023-04-13 21:26:232023-04-13 21:26:55

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.
  • [2023-04-13 21:26:55]
  • 评测
  • 测评结果:AC
  • 用时:2ms
  • 内存:3776kb
  • [2023-04-13 21:26:23]
  • 提交

answer

#include<iostream>
#include <bits/stdc++.h>

# define ld long double
#define ll long long
#define IO ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
using namespace std;
const int N = 4e5 + 5, mod = 998244353, M = 17;

// mass = density * volume
// m1 = ans * w
// m2 = (h - ans) * a
// CM = ( ans / 2 * ans * w   + (h + ans) / 2 * (h-ans) * a) / ()
int h, r, a, w;

ld solve(ld ans) {
    ld m1 = ans * w;
    ld m2 = (h - ans) * a;

    ld cm1 = ans / 2;
    ld cm2 = (ans + h) / 2;

    return (m1 * cm1 + m2 * cm2) / (m1 + m2);
}

void doWork() {
    cin >> h >> r >> a >> w;
    ld low = 0, high = h;
    for (int i = 0; i < 100; i++) {
        ld ans1 = low + (high - low) / 3;
        ld ans2 = high - (high - low) / 3;
        if (solve(ans1) < solve(ans2))high = ans2;
        else low = ans1;
    }
    cout << fixed << low;
}

int main() {
    IO
    int t = 1;
    //  cin >> t;
    for (int i = 1; i <= t; i++) {
        doWork();
    }
}

// n * (n+1) / 2

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3632kb

input:

22 4 1 4

output:

7.333333

result:

ok found '7.3333330', expected '7.3333333', error '0.0000000'

Test #2:

score: 0
Accepted
time: 2ms
memory: 3752kb

input:

7 2 655 988

output:

3.141594

result:

ok found '3.1415940', expected '3.1415942', error '0.0000001'

Test #3:

score: 0
Accepted
time: 2ms
memory: 3708kb

input:

1 1 1 2

output:

0.414214

result:

ok found '0.4142140', expected '0.4142136', error '0.0000004'

Test #4:

score: 0
Accepted
time: 2ms
memory: 3632kb

input:

1000 1000 999 1000

output:

499.874945

result:

ok found '499.8749450', expected '499.8749375', error '0.0000000'

Test #5:

score: 0
Accepted
time: 2ms
memory: 3624kb

input:

1000 1000 1 1000

output:

30.653430

result:

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

Test #6:

score: 0
Accepted
time: 2ms
memory: 3628kb

input:

1 1000 1 1000

output:

0.030653

result:

ok found '0.0306530', expected '0.0306534', error '0.0000004'

Test #7:

score: 0
Accepted
time: 2ms
memory: 3632kb

input:

1000 1000 482 483

output:

499.740934

result:

ok found '499.7409340', expected '499.7409326', error '0.0000000'

Test #8:

score: 0
Accepted
time: 2ms
memory: 3636kb

input:

1 1000 482 483

output:

0.499741

result:

ok found '0.4997410', expected '0.4997409', error '0.0000001'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

1 1000 1 2

output:

0.414214

result:

ok found '0.4142140', expected '0.4142136', error '0.0000004'

Test #10:

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

input:

1000 1000 1 2

output:

414.213563

result:

ok found '414.2135630', expected '414.2135624', error '0.0000000'

Test #11:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

961 1000 979 983

output:

480.010193

result:

ok found '480.0101930', expected '480.0101932', error '0.0000000'

Test #12:

score: 0
Accepted
time: 2ms
memory: 3752kb

input:

997 1000 977 983

output:

497.736990

result:

ok found '497.7369900', expected '497.7369880', error '0.0000000'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

1 928 1 66

output:

0.109601

result:

ok found '0.1096010', expected '0.1096006', error '0.0000004'

Test #14:

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

input:

1 928 2 88

output:

0.131006

result:

ok found '0.1310060', expected '0.1310058', error '0.0000002'

Test #15:

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

input:

1 928 3 74

output:

0.167601

result:

ok found '0.1676010', expected '0.1676009', error '0.0000001'

Test #16:

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

input:

1 928 3 41

output:

0.212909

result:

ok found '0.2129090', expected '0.2129089', error '0.0000001'

Test #17:

score: 0
Accepted
time: 2ms
memory: 3756kb

input:

1 928 1 12

output:

0.224009

result:

ok found '0.2240090', expected '0.2240092', error '0.0000002'

Test #18:

score: 0
Accepted
time: 1ms
memory: 3704kb

input:

2 928 89 93

output:

0.989010

result:

ok found '0.9890100', expected '0.9890097', error '0.0000003'

Test #19:

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

input:

7 928 51 72

output:

3.199010

result:

ok found '3.1990100', expected '3.1990099', error '0.0000000'

Test #20:

score: 0
Accepted
time: 2ms
memory: 3636kb

input:

722 547 709 752

output:

355.686392

result:

ok found '355.6863920', expected '355.6863918', error '0.0000000'

Test #21:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

242 742 518 920

output:

103.742903

result:

ok found '103.7429030', expected '103.7429035', error '0.0000000'

Test #22:

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

input:

873 701 43 201

output:

276.087556

result:

ok found '276.0875560', expected '276.0875558', error '0.0000000'

Test #23:

score: 0
Accepted
time: 2ms
memory: 3680kb

input:

268 228 527 562

output:

131.846092

result:

ok found '131.8460920', expected '131.8460919', error '0.0000000'

Test #24:

score: 0
Accepted
time: 1ms
memory: 3640kb

input:

312 558 341 839

output:

121.468385

result:

ok found '121.4683850', expected '121.4683851', error '0.0000000'

Test #25:

score: 0
Accepted
time: 2ms
memory: 3636kb

input:

274 85 178 364

output:

112.756491

result:

ok found '112.7564910', expected '112.7564907', error '0.0000000'

Test #26:

score: 0
Accepted
time: 2ms
memory: 3624kb

input:

641 539 341 977

output:

238.054439

result:

ok found '238.0544390', expected '238.0544387', error '0.0000000'

Test #27:

score: 0
Accepted
time: 2ms
memory: 3632kb

input:

245 861 438 872

output:

101.618384

result:

ok found '101.6183840', expected '101.6183839', error '0.0000000'

Test #28:

score: 0
Accepted
time: 2ms
memory: 3776kb

input:

640 181 156 606

output:

215.419835

result:

ok found '215.4198350', expected '215.4198349', error '0.0000000'