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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#17907#2267. Jewelry SizeJohnAlfnov#WA 5ms4292kbC++14691b2022-01-15 09:54:262022-05-04 16:18:02

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.
  • [2022-05-04 16:18:02]
  • 评测
  • 测评结果：WA
  • 用时：5ms
  • 内存：4292kb
查看
  • [2022-01-15 09:54:26]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
int a[1005];
double x[1005];
const double pi=acos(-1);
int main(){
	int n;
	cin>>n;
	for(int i=1;i<=n;++i)scanf("%d",&a[i]);
	sort(a+1,a+n+1);
	double l1=0,r1=1e7;
	while(r1-l1>1e-10){
		double mid=(l1+r1)/2,he=0;
		for(int i=1;i<=n;++i){
			x[i]=acos(1-1/2.0*a[i]*a[i]/mid/mid);
			he+=x[i];
		}
		if(he<2*pi)r1=mid;
		else l1=mid;
	}
	double l2=0,r2=1e7;
	while(r2-l2>1e-10){
		double mid=(l2+r2)/2,he=0,mx=0;
		for(int i=1;i<=n;++i){
			x[i]=acos(1-1/2.0*a[i]*a[i]/mid/mid);
			he+=x[i],mx=max(mx,x[i]);
		}
		if(he>2*mx||fabs(mx-x[n])>1e-10)r2=mid;
		else l2=mid;
	}
	printf("%.10f\n",max(l1,l2));
	return 0;
}
Source code, Language: C++14

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 3ms
memory: 4128kb

input:

5
3 1 6 1 7

output:

3.5444043509

result:

ok found '3.5444044', expected '3.5444044', error '0.0000000'

Test #2:

score: 0
Accepted
time: 2ms
memory: 4148kb

input:

3
500 300 400

output:

250.0000000000

result:

ok found '250.0000000', expected '250.0000000', error '0.0000000'

Test #3:

score: 0
Accepted
time: 2ms
memory: 3892kb

input:

8
2000 3000 4000 2000 3000 4000 2000 3000

output:

3780.9741205994

result:

ok found '3780.9741206', expected '3780.9741206', error '0.0000000'

Test #4:

score: 0
Accepted
time: 0ms
memory: 4220kb

input:

10
602 67 67 67 67 67 67 67 67 67

output:

3003.1398169602

result:

ok found '3003.1398170', expected '3003.1398170', error '0.0000000'

Test #5:

score: 0
Accepted
time: 0ms
memory: 4292kb

input:

1000
4719 3755 2542 1190 5557 3641 5426 1578 5247 3181 3524 983 4151 4337 3004 2062 1048 4739 499 2530 1378 450 5459 651 1714 4051 416 4186 2598 1031 374 5523 4787 1122 4919 2549 4763 4345 2333 4009 5732 5857 3198 3882 2399 4409 4151 3447 1353 4650 4184 2731 3307 3642 3383 5021 5899 2005 3206 702 30...

output:

490696.1297933888

result:

ok found '490696.1297934', expected '490696.1297935', error '0.0000000'

Test #6:

score: 0
Accepted
time: 5ms
memory: 4088kb

input:

1000
2443 973 5013 5104 418 5498 2436 5522 512 1539 3851 355 50 4167 3205 286 1171 5083 867 2208 2497 2455 3142 2247 1531 2986 862 5930 3449 4996 5201 5892 5969 4214 4995 4594 1917 5637 4115 2429 5383 171 990 5433 4338 4195 5720 5509 1483 4793 1716 2187 5454 3065 4434 984 4257 3503 5120 1705 2498 43...

output:

463780.0484801889

result:

ok found '463780.0484802', expected '463780.0484799', error '0.0000000'

Test #7:

score: 0
Accepted
time: 5ms
memory: 4220kb

input:

1000
1854 1474 3499 1575 1422 3130 2402 5948 2378 2670 3423 5104 295 1663 475 66 2687 2978 4618 3027 90 5982 4390 5990 4343 4206 465 4394 2436 5904 3740 4290 5585 5445 4071 1006 2575 472 5161 3159 1348 2583 2262 1643 4247 944 5917 933 3922 4534 2166 2218 4515 555 2208 2857 2967 879 5457 5403 4989 31...

output:

474979.6236036251

result:

ok found '474979.6236036', expected '474979.6236043', error '0.0000000'

Test #8:

score: 0
Accepted
time: 5ms
memory: 4288kb

input:

1000
2343 137 3849 255 2682 1652 1797 4299 3474 4549 3158 4921 4489 2138 1620 2009 4673 5285 355 2131 139 1855 3936 1840 4743 3946 5455 3742 1890 4475 95 2439 4613 2150 2694 5501 3803 4491 3800 1276 1245 5164 196 5734 1302 22 5950 4181 5307 304 311 5446 2159 2453 5493 5108 399 3153 2849 2289 1628 11...

output:

462340.8562622911

result:

ok found '462340.8562623', expected '462340.8562630', error '0.0000000'

Test #9:

score: 0
Accepted
time: 2ms
memory: 4192kb

input:

100
4719 3755 2542 1190 5557 3641 5426 1578 5247 3181 3524 983 4151 4337 3004 2062 1048 4739 499 2530 1378 450 5459 651 1714 4051 416 4186 2598 1031 374 5523 4787 1122 4919 2549 4763 4345 2333 4009 5732 5857 3198 3882 2399 4409 4151 3447 1353 4650 4184 2731 3307 3642 3383 5021 5899 2005 3206 702 303...

output:

48616.3696322595

result:

ok found '48616.3696323', expected '48616.3696323', error '0.0000000'

Test #10:

score: 0
Accepted
time: 3ms
memory: 3960kb

input:

100
2443 973 5013 5104 418 5498 2436 5522 512 1539 3851 355 50 4167 3205 286 1171 5083 867 2208 2497 2455 3142 2247 1531 2986 862 5930 3449 4996 5201 5892 5969 4214 4995 4594 1917 5637 4115 2429 5383 171 990 5433 4338 4195 5720 5509 1483 4793 1716 2187 5454 3065 4434 984 4257 3503 5120 1705 2498 432...

output:

48970.9394372144

result:

ok found '48970.9394372', expected '48970.9394372', error '0.0000000'

Test #11:

score: 0
Accepted
time: 1ms
memory: 4152kb

input:

100
1854 1474 3499 1575 1422 3130 2402 5948 2378 2670 3423 5104 295 1663 475 66 2687 2978 4618 3027 90 5982 4390 5990 4343 4206 465 4394 2436 5904 3740 4290 5585 5445 4071 1006 2575 472 5161 3159 1348 2583 2262 1643 4247 944 5917 933 3922 4534 2166 2218 4515 555 2208 2857 2967 879 5457 5403 4989 319...

output:

47884.1495305231

result:

ok found '47884.1495305', expected '47884.1495305', error '0.0000000'

Test #12:

score: 0
Accepted
time: 0ms
memory: 4076kb

input:

100
2343 137 3849 255 2682 1652 1797 4299 3474 4549 3158 4921 4489 2138 1620 2009 4673 5285 355 2131 139 1855 3936 1840 4743 3946 5455 3742 1890 4475 95 2439 4613 2150 2694 5501 3803 4491 3800 1276 1245 5164 196 5734 1302 22 5950 4181 5307 304 311 5446 2159 2453 5493 5108 399 3153 2849 2289 1628 115...

output:

48019.6151650850

result:

ok found '48019.6151651', expected '48019.6151651', error '0.0000000'

Test #13:

score: 0
Accepted
time: 3ms
memory: 4076kb

input:

10
4719 3755 2542 1190 5557 3641 5426 1578 5247 3181

output:

6009.5452529841

result:

ok found '6009.5452530', expected '6009.5452530', error '0.0000000'

Test #14:

score: 0
Accepted
time: 3ms
memory: 4104kb

input:

10
2443 973 5013 5104 418 5498 2436 5522 512 1539

output:

4889.4674958879

result:

ok found '4889.4674959', expected '4889.4674959', error '0.0000000'

Test #15:

score: 0
Accepted
time: 3ms
memory: 3896kb

input:

10
1854 1474 3499 1575 1422 3130 2402 5948 2378 2670

output:

4340.8661709963

result:

ok found '4340.8661710', expected '4340.8661710', error '0.0000000'

Test #16:

score: 0
Accepted
time: 3ms
memory: 4020kb

input:

10
2343 137 3849 255 2682 1652 1797 4299 3474 4549

output:

4123.0165899213

result:

ok found '4123.0165899', expected '4123.0165899', error '0.0000000'

Test #17:

score: 0
Accepted
time: 3ms
memory: 4148kb

input:

250
4719 3755 2542 1190 5557 3641 5426 1578 5247 3181 3524 983 4151 4337 3004 2062 1048 4739 499 2530 1378 450 5459 651 1714 4051 416 4186 2598 1031 374 5523 4787 1122 4919 2549 4763 4345 2333 4009 5732 5857 3198 3882 2399 4409 4151 3447 1353 4650 4184 2731 3307 3642 3383 5021 5899 2005 3206 702 303...

output:

128109.4065169521

result:

ok found '128109.4065170', expected '128109.4065170', error '0.0000000'

Test #18:

score: 0
Accepted
time: 3ms
memory: 4220kb

input:

250
2443 973 5013 5104 418 5498 2436 5522 512 1539 3851 355 50 4167 3205 286 1171 5083 867 2208 2497 2455 3142 2247 1531 2986 862 5930 3449 4996 5201 5892 5969 4214 4995 4594 1917 5637 4115 2429 5383 171 990 5433 4338 4195 5720 5509 1483 4793 1716 2187 5454 3065 4434 984 4257 3503 5120 1705 2498 432...

output:

125432.9881824973

result:

ok found '125432.9881825', expected '125432.9881825', error '0.0000000'

Test #19:

score: 0
Accepted
time: 0ms
memory: 4192kb

input:

250
1854 1474 3499 1575 1422 3130 2402 5948 2378 2670 3423 5104 295 1663 475 66 2687 2978 4618 3027 90 5982 4390 5990 4343 4206 465 4394 2436 5904 3740 4290 5585 5445 4071 1006 2575 472 5161 3159 1348 2583 2262 1643 4247 944 5917 933 3922 4534 2166 2218 4515 555 2208 2857 2967 879 5457 5403 4989 319...

output:

116578.9930612292

result:

ok found '116578.9930612', expected '116578.9930612', error '0.0000000'

Test #20:

score: 0
Accepted
time: 3ms
memory: 4144kb

input:

250
2343 137 3849 255 2682 1652 1797 4299 3474 4549 3158 4921 4489 2138 1620 2009 4673 5285 355 2131 139 1855 3936 1840 4743 3946 5455 3742 1890 4475 95 2439 4613 2150 2694 5501 3803 4491 3800 1276 1245 5164 196 5734 1302 22 5950 4181 5307 304 311 5446 2159 2453 5493 5108 399 3153 2849 2289 1628 115...

output:

118802.7168437732

result:

ok found '118802.7168438', expected '118802.7168438', error '0.0000000'

Test #21:

score: 0
Accepted
time: 1ms
memory: 4016kb

input:

3
4719 3755 2542

output:

2368.9913489930

result:

ok found '2368.9913490', expected '2368.9913490', error '0.0000000'

Test #22:

score: 0
Accepted
time: 3ms
memory: 4080kb

input:

3
5104 418 5498

output:

7931.5497917270

result:

ok found '7931.5497917', expected '7931.5497917', error '0.0000000'

Test #23:

score: 0
Accepted
time: 3ms
memory: 4208kb

input:

3
2670 3423 5104

output:

2776.8197377168

result:

ok found '2776.8197377', expected '2776.8197377', error '0.0000000'

Test #24:

score: 0
Accepted
time: 1ms
memory: 4104kb

input:

3
1797 4299 3474

output:

2222.9750938583

result:

ok found '2222.9750939', expected '2222.9750939', error '0.0000000'

Test #25:

score: 0
Accepted
time: 3ms
memory: 3892kb

input:

4
4719 3755 2542 1190

output:

2385.8844828997

result:

ok found '2385.8844829', expected '2385.8844829', error '0.0000000'

Test #26:

score: 0
Accepted
time: 3ms
memory: 4076kb

input:

4
2443 973 5013 5104

output:

2673.3101041854

result:

ok found '2673.3101042', expected '2673.3101042', error '0.0000000'

Test #27:

score: 0
Accepted
time: 3ms
memory: 4144kb

input:

4
1854 1474 3499 1575

output:

1762.7184818062

result:

ok found '1762.7184818', expected '1762.7184818', error '0.0000000'

Test #28:

score: 0
Accepted
time: 2ms
memory: 3876kb

input:

4
2682 1652 1797 4299

output:

2155.7750724650

result:

ok found '2155.7750725', expected '2155.7750725', error '0.0000000'

Test #29:

score: 0
Accepted
time: 3ms
memory: 4024kb

input:

500
4719 3755 2542 1190 5557 3641 5426 1578 5247 3181 3524 983 4151 4337 3004 2062 1048 4739 499 2530 1378 450 5459 651 1714 4051 416 4186 2598 1031 374 5523 4787 1122 4919 2549 4763 4345 2333 4009 5732 5857 3198 3882 2399 4409 4151 3447 1353 4650 4184 2731 3307 3642 3383 5021 5899 2005 3206 702 303...

output:

247805.3748878195

result:

ok found '247805.3748878', expected '247805.3748878', error '0.0000000'

Test #30:

score: 0
Accepted
time: 4ms
memory: 4216kb

input:

500
2443 973 5013 5104 418 5498 2436 5522 512 1539 3851 355 50 4167 3205 286 1171 5083 867 2208 2497 2455 3142 2247 1531 2986 862 5930 3449 4996 5201 5892 5969 4214 4995 4594 1917 5637 4115 2429 5383 171 990 5433 4338 4195 5720 5509 1483 4793 1716 2187 5454 3065 4434 984 4257 3503 5120 1705 2498 432...

output:

236689.3706187567

result:

ok found '236689.3706188', expected '236689.3706188', error '0.0000000'

Test #31:

score: 0
Accepted
time: 4ms
memory: 4020kb

input:

500
1854 1474 3499 1575 1422 3130 2402 5948 2378 2670 3423 5104 295 1663 475 66 2687 2978 4618 3027 90 5982 4390 5990 4343 4206 465 4394 2436 5904 3740 4290 5585 5445 4071 1006 2575 472 5161 3159 1348 2583 2262 1643 4247 944 5917 933 3922 4534 2166 2218 4515 555 2208 2857 2967 879 5457 5403 4989 319...

output:

240655.2316999575

result:

ok found '240655.2317000', expected '240655.2317000', error '0.0000000'

Test #32:

score: 0
Accepted
time: 4ms
memory: 4108kb

input:

500
2343 137 3849 255 2682 1652 1797 4299 3474 4549 3158 4921 4489 2138 1620 2009 4673 5285 355 2131 139 1855 3936 1840 4743 3946 5455 3742 1890 4475 95 2439 4613 2150 2694 5501 3803 4491 3800 1276 1245 5164 196 5734 1302 22 5950 4181 5307 304 311 5446 2159 2453 5493 5108 399 3153 2849 2289 1628 115...

output:

239234.4590829632

result:

ok found '239234.4590830', expected '239234.4590830', error '0.0000000'

Test #33:

score: 0
Accepted
time: 1ms
memory: 4220kb

input:

5
4719 3755 2542 1190 5557

output:

3171.2598418195

result:

ok found '3171.2598418', expected '3171.2598418', error '0.0000000'

Test #34:

score: 0
Accepted
time: 3ms
memory: 4144kb

input:

5
2443 973 5013 5104 418

output:

2706.4618337441

result:

ok found '2706.4618337', expected '2706.4618337', error '0.0000000'

Test #35:

score: 0
Accepted
time: 1ms
memory: 4148kb

input:

5
1854 1474 3499 1575 1422

output:

1804.0462482494

result:

ok found '1804.0462482', expected '1804.0462482', error '0.0000000'

Test #36:

score: 0
Accepted
time: 3ms
memory: 4076kb

input:

5
2343 137 3849 255 2682

output:

1926.4851382878

result:

ok found '1926.4851383', expected '1926.4851383', error '0.0000000'

Test #37:

score: 0
Accepted
time: 3ms
memory: 4016kb

input:

6
4719 3755 2542 1190 5557 3641

output:

3658.2441848290

result:

ok found '3658.2441848', expected '3658.2441848', error '0.0000000'

Test #38:

score: 0
Accepted
time: 2ms
memory: 4020kb

input:

6
2443 973 5013 5104 418 5498

output:

3441.7849447085

result:

ok found '3441.7849447', expected '3441.7849447', error '0.0000000'

Test #39:

score: 0
Accepted
time: 3ms
memory: 4128kb

input:

6
1854 1474 3499 1575 1422 3130

output:

2223.6473305880

result:

ok found '2223.6473306', expected '2223.6473306', error '0.0000000'

Test #40:

score: 0
Accepted
time: 2ms
memory: 4224kb

input:

6
2343 137 3849 255 2682 1652

output:

2013.7523776095

result:

ok found '2013.7523776', expected '2013.7523776', error '0.0000000'

Test #41:

score: 0
Accepted
time: 3ms
memory: 4100kb

input:

7
4719 3755 2542 1190 5557 3641 5426

output:

4485.5673426317

result:

ok found '4485.5673426', expected '4485.5673426', error '0.0000000'

Test #42:

score: 0
Accepted
time: 0ms
memory: 4104kb

input:

7
2443 973 5013 5104 418 5498 2436

output:

3760.1801575695

result:

ok found '3760.1801576', expected '3760.1801576', error '0.0000000'

Test #43:

score: 0
Accepted
time: 1ms
memory: 4080kb

input:

7
1854 1474 3499 1575 1422 3130 2402

output:

2569.8384455156

result:

ok found '2569.8384455', expected '2569.8384455', error '0.0000000'

Test #44:

score: 0
Accepted
time: 3ms
memory: 4020kb

input:

7
2343 137 3849 255 2682 1652 1797

output:

2218.9380748987

result:

ok found '2218.9380749', expected '2218.9380749', error '0.0000000'

Test #45:

score: 0
Accepted
time: 1ms
memory: 4208kb

input:

3
3 4 5

output:

2.4999999999

result:

ok found '2.5000000', expected '2.5000000', error '0.0000000'

Test #46:

score: 0
Accepted
time: 2ms
memory: 4148kb

input:

5
2 2 3 4 4

output:

2.6120840417

result:

ok found '2.6120840', expected '2.6120840', error '0.0000000'

Test #47:

score: 0
Accepted
time: 0ms
memory: 4148kb

input:

4
20 30 40 50

output:

26.1764843577

result:

ok found '26.1764844', expected '26.1764844', error '0.0000000'

Test #48:

score: 0
Accepted
time: 1ms
memory: 4208kb

input:

5
20 50 40 30 60

output:

35.2095745116

result:

ok found '35.2095745', expected '35.2095745', error '0.0000000'

Test #49:

score: 0
Accepted
time: 2ms
memory: 4212kb

input:

5
11 12 13 14 15

output:

11.0931616906

result:

ok found '11.0931617', expected '11.0931617', error '0.0000000'

Test #50:

score: 0
Accepted
time: 1ms
memory: 3816kb

input:

8
1 1 1 1 1 1 1 1

output:

1.3065629648

result:

ok found '1.3065630', expected '1.3065630', error '0.0000000'

Test #51:

score: 0
Accepted
time: 3ms
memory: 4128kb

input:

3
13 12 5

output:

6.5000000000

result:

ok found '6.5000000', expected '6.5000000', error '0.0000000'

Test #52:

score: 0
Accepted
time: 3ms
memory: 4072kb

input:

3
1300 1200 400

output:

652.8754133973

result:

ok found '652.8754134', expected '652.8754134', error '0.0000000'

Test #53:

score: 0
Accepted
time: 3ms
memory: 4216kb

input:

3
60 120 130

output:

65.1904800586

result:

ok found '65.1904801', expected '65.1904801', error '0.0000000'

Test #54:

score: 0
Accepted
time: 3ms
memory: 4128kb

input:

4
6000 5801 100 100

output:

29539.4897190597

result:

ok found '29539.4897191', expected '29539.4897321', error '0.0000000'

Test #55:

score: 0
Accepted
time: 2ms
memory: 3936kb

input:

4
6000 1 6000 1

output:

3000.0000416666

result:

ok found '3000.0000417', expected '3000.0000417', error '0.0000000'

Test #56:

score: 0
Accepted
time: 3ms
memory: 4100kb

input:

4
6000 100 6000 200

output:

3000.9374186497

result:

ok found '3000.9374186', expected '3000.9374186', error '0.0000000'

Test #57:

score: 0
Accepted
time: 3ms
memory: 4188kb

input:

4
6000 5999 1 1

output:

3463.8129760223

result:

ok found '3463.8129760', expected '3463.8129761', error '0.0000000'

Test #58:

score: 0
Accepted
time: 3ms
memory: 4220kb

input:

5
6000 1501 1500 1500 1500

output:

91877.7576947546

result:

ok found '91877.7576948', expected '91877.7577247', error '0.0000000'

Test #59:

score: 0
Accepted
time: 3ms
memory: 3824kb

input:

5
6000 6000 1 1 1

output:

3000.0000937500

result:

ok found '3000.0000937', expected '3000.0000937', error '0.0000000'

Test #60:

score: 0
Accepted
time: 1ms
memory: 4076kb

input:

5
6000 6000 6000 1 1

output:

3464.2940812644

result:

ok found '3464.2940813', expected '3464.2940813', error '0.0000000'

Test #61:

score: 0
Accepted
time: 2ms
memory: 3960kb

input:

5
6000 6000 6000 6000 1

output:

4242.7656889610

result:

ok found '4242.7656890', expected '4242.7656890', error '0.0000000'

Test #62:

score: 0
Accepted
time: 3ms
memory: 3884kb

input:

5
6000 6000 6000 6000 6000

output:

5103.9048501122

result:

ok found '5103.9048501', expected '5103.9048501', error '0.0000000'

Test #63:

score: 0
Accepted
time: 3ms
memory: 4148kb

input:

5
1000 2000 3000 4000 5000

output:

2717.5672252619

result:

ok found '2717.5672253', expected '2717.5672253', error '0.0000000'

Test #64:

score: 0
Accepted
time: 3ms
memory: 4016kb

input:

4
6000 2001 2000 2000

output:

89465.0797740869

result:

ok found '89465.0797741', expected '89465.0797801', error '0.0000000'

Test #65:

score: 0
Accepted
time: 3ms
memory: 4212kb

input:

5
6000 1510 1510 1510 1510

output:

14662.3541672816

result:

ok found '14662.3541673', expected '14662.3541673', error '0.0000000'

Test #66:

score: 0
Accepted
time: 1ms
memory: 4104kb

input:

4
60 21 20 20

output:

91.6791322556

result:

ok found '91.6791323', expected '91.6791323', error '0.0000000'

Test #67:

score: -100
Wrong Answer
time: 2ms
memory: 4156kb

input:

1000
5993 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 ...

output:

94721.2958233668

result:

wrong answer 1st numbers differ - expected: '94723.6448403', found: '94721.2958234', error = '0.0000248'
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