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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#140816#5151. Bottle FlipRetiredButNotTired#AC ✓1ms3848kbC++201.0kb2023-08-16 20:52:392023-08-16 20:52:43

Judging History

你现在查看的是最新测评结果

  • [2023-08-16 20:52:43]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3848kb
  • [2023-08-16 20:52:39]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define ll long long
int tt, tc;

const long double PI = acos(-1);

void solve() {
	long double h, r, da, dw;
	cin >> h >> r >> da >> dw;

	auto cyl = [&](long double height) {
		return PI * r * r * height;
	};

	long double totvol = cyl(h);

	auto f = [&](long double hw) {  // outputs the height of the center of mass
		long double volw = cyl(hw);
		long double massw = dw * volw;
		long double massa = da * (totvol - volw);
		long double h1 = hw / 2.0;
		long double h2 = hw + (h - hw) / 2.0;
		long double resh = massw * h1 + massa * h2;
		resh = resh / (massw + massa);
		return resh;
	};

	long double L = 0, R = h;
	int ctr = 100;
	while (ctr--) {
		long double mid = (R - L) / 3.0;
		long double y1 = L + mid, y2 = R - mid;
		if (f(y1) > f(y2)) L = y1;
		else R = y2;
	}
	cout << fixed << setprecision(9) << L << "\n";
}

int main() {
	ios::sync_with_stdio(0); cin.tie(0);
	tt = 1, tc = 1; //cin >> tt;
	while (tt--) solve(), tc++;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3840kb

input:

22 4 1 4

output:

7.333333330

result:

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

Test #2:

score: 0
Accepted
time: 1ms
memory: 3744kb

input:

7 2 655 988

output:

3.141594171

result:

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

Test #3:

score: 0
Accepted
time: 1ms
memory: 3664kb

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: 1ms
memory: 3668kb

input:

1000 1000 999 1000

output:

499.874934621

result:

ok found '499.8749346', expected '499.8749375', error '0.0000000'

Test #5:

score: 0
Accepted
time: 1ms
memory: 3836kb

input:

1000 1000 1 1000

output:

30.653430034

result:

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

Test #6:

score: 0
Accepted
time: 1ms
memory: 3748kb

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: 1ms
memory: 3768kb

input:

1000 1000 482 483

output:

499.740932336

result:

ok found '499.7409323', expected '499.7409326', error '0.0000000'

Test #8:

score: 0
Accepted
time: 1ms
memory: 3656kb

input:

1 1000 482 483

output:

0.499740931

result:

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

Test #9:

score: 0
Accepted
time: 1ms
memory: 3684kb

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: 3792kb

input:

1000 1000 1 2

output:

414.213562072

result:

ok found '414.2135621', expected '414.2135624', error '0.0000000'

Test #11:

score: 0
Accepted
time: 1ms
memory: 3848kb

input:

961 1000 979 983

output:

480.010188845

result:

ok found '480.0101888', expected '480.0101932', error '0.0000000'

Test #12:

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

input:

997 1000 977 983

output:

497.736986162

result:

ok found '497.7369862', expected '497.7369880', error '0.0000000'

Test #13:

score: 0
Accepted
time: 1ms
memory: 3776kb

input:

1 928 1 66

output:

0.109600591

result:

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

Test #14:

score: 0
Accepted
time: 1ms
memory: 3768kb

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: 3796kb

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: 1ms
memory: 3684kb

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: 1ms
memory: 3752kb

input:

1 928 1 12

output:

0.224009238

result:

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

Test #18:

score: 0
Accepted
time: 1ms
memory: 3796kb

input:

2 928 89 93

output:

0.989009660

result:

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

Test #19:

score: 0
Accepted
time: 1ms
memory: 3740kb

input:

7 928 51 72

output:

3.199009876

result:

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

Test #20:

score: 0
Accepted
time: 0ms
memory: 3744kb

input:

722 547 709 752

output:

355.686391507

result:

ok found '355.6863915', expected '355.6863918', error '0.0000000'

Test #21:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

242 742 518 920

output:

103.742903467

result:

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

Test #22:

score: 0
Accepted
time: 1ms
memory: 3664kb

input:

873 701 43 201

output:

276.087555606

result:

ok found '276.0875556', expected '276.0875558', error '0.0000000'

Test #23:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

268 228 527 562

output:

131.846091844

result:

ok found '131.8460918', expected '131.8460919', error '0.0000000'

Test #24:

score: 0
Accepted
time: 1ms
memory: 3740kb

input:

312 558 341 839

output:

121.468385030

result:

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

Test #25:

score: 0
Accepted
time: 1ms
memory: 3664kb

input:

274 85 178 364

output:

112.756490684

result:

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

Test #26:

score: 0
Accepted
time: 1ms
memory: 3792kb

input:

641 539 341 977

output:

238.054438664

result:

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

Test #27:

score: 0
Accepted
time: 0ms
memory: 3684kb

input:

245 861 438 872

output:

101.618383908

result:

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

Test #28:

score: 0
Accepted
time: 1ms
memory: 3664kb

input:

640 181 156 606

output:

215.419834882

result:

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