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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#359979#5151. Bottle Flipkevinyang#AC ✓1ms4004kbC++17662b2024-03-21 08:19:172024-03-21 08:19:18

Judging History

你现在查看的是最新测评结果

  • [2024-03-21 08:19:18]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:4004kb
  • [2024-03-21 08:19:17]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define double long double
double h,r,a,w;
double f(double i){
	double v = i/2*w*i + (h+i)*a/2*(h-i);
		v/=(i*w + (h-i)*a);
		return v; 
}
signed main(){
	cin.tie(nullptr)->sync_with_stdio(false);
	/*
	(m/2)*w + (h+m)r^2*a/2
	/m*w + (h-m)w


	*/
	
	cin >> h >> r >> a >> w;
	cout << fixed << setprecision(10);
	a = 1.0/a;
	w = 1.0/w;
	double low = 0;
	double high = h;
	double eps = 1e-7; //eps = 1/eps/eps;
	for(int iters = 0; iters<100; iters++){
		double i = (low+high)/2;
		if(f(i) < f(i+eps)){
			low = i;
		}
		else{
			high = i;
		}
	}
	cout << h-high << '\n';
	return 0;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3940kb

input:

22 4 1 4

output:

7.3333333834

result:

ok found '7.3333334', expected '7.3333333', error '0.0000000'

Test #2:

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

input:

7 2 655 988

output:

3.1415942220

result:

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

Test #3:

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

input:

1 1 1 2

output:

0.4142136124

result:

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

Test #4:

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

input:

1000 1000 999 1000

output:

499.8748599685

result:

ok found '499.8748600', expected '499.8749375', error '0.0000002'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3944kb

input:

1000 1000 1 1000

output:

30.6534300909

result:

ok found '30.6534301', expected '30.6534300', error '0.0000000'

Test #6:

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

input:

1 1000 1 1000

output:

0.0306534800

result:

ok found '0.0306535', expected '0.0306534', error '0.0000001'

Test #7:

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

input:

1000 1000 482 483

output:

499.7410401702

result:

ok found '499.7410402', expected '499.7409326', error '0.0000002'

Test #8:

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

input:

1 1000 482 483

output:

0.4997409827

result:

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

Test #9:

score: 0
Accepted
time: 0ms
memory: 3960kb

input:

1 1000 1 2

output:

0.4142136124

result:

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

Test #10:

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

input:

1000 1000 1 2

output:

414.2135624853

result:

ok found '414.2135625', expected '414.2135624', error '0.0000000'

Test #11:

score: 0
Accepted
time: 0ms
memory: 3888kb

input:

961 1000 979 983

output:

480.0101672983

result:

ok found '480.0101673', expected '480.0101932', error '0.0000001'

Test #12:

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

input:

997 1000 977 983

output:

497.7369894356

result:

ok found '497.7369894', expected '497.7369880', error '0.0000000'

Test #13:

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

input:

1 928 1 66

output:

0.1096006408

result:

ok found '0.1096006', expected '0.1096006', error '0.0000001'

Test #14:

score: 0
Accepted
time: 0ms
memory: 3888kb

input:

1 928 2 88

output:

0.1310058542

result:

ok found '0.1310059', expected '0.1310058', error '0.0000001'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3892kb

input:

1 928 3 74

output:

0.1676009574

result:

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

Test #16:

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

input:

1 928 3 41

output:

0.2129089054

result:

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

Test #17:

score: 0
Accepted
time: 0ms
memory: 3996kb

input:

1 928 1 12

output:

0.2240092877

result:

ok found '0.2240093', expected '0.2240092', error '0.0000001'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3936kb

input:

2 928 89 93

output:

0.9890097117

result:

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

Test #19:

score: 0
Accepted
time: 0ms
memory: 3880kb

input:

7 928 51 72

output:

3.1990099267

result:

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

Test #20:

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

input:

722 547 709 752

output:

355.6863947410

result:

ok found '355.6863947', expected '355.6863918', error '0.0000000'

Test #21:

score: 0
Accepted
time: 1ms
memory: 3892kb

input:

242 742 518 920

output:

103.7429035170

result:

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

Test #22:

score: 0
Accepted
time: 0ms
memory: 3936kb

input:

873 701 43 201

output:

276.0875558281

result:

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

Test #23:

score: 0
Accepted
time: 0ms
memory: 3888kb

input:

268 228 527 562

output:

131.8460923141

result:

ok found '131.8460923', expected '131.8460919', error '0.0000000'

Test #24:

score: 0
Accepted
time: 0ms
memory: 3936kb

input:

312 558 341 839

output:

121.4683851519

result:

ok found '121.4683852', expected '121.4683851', error '0.0000000'

Test #25:

score: 0
Accepted
time: 0ms
memory: 4004kb

input:

274 85 178 364

output:

112.7564908199

result:

ok found '112.7564908', expected '112.7564907', error '0.0000000'

Test #26:

score: 0
Accepted
time: 0ms
memory: 3892kb

input:

641 539 341 977

output:

238.0544387031

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:

101.6183839969

result:

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

Test #28:

score: 0
Accepted
time: 0ms
memory: 3944kb

input:

640 181 156 606

output:

215.4198349127

result:

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