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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#17904#2267. Jewelry SizeJohnAlfnov#WA 5ms4288kbC++14648b2022-01-15 09:31:352022-05-04 16:17:46

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 16:17:46]
  • 评测
  • 测评结果：WA
  • 用时：5ms
  • 内存：4288kb
查看
  • [2022-01-15 09:31:35]
  • 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]);
	double l1=0,r1=1e7;
	while(r1-l1>1e-8){
		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-8){
		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)r2=mid;
		else l2=mid;
	}
	printf("%.8f\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: 2ms
memory: 4216kb

input:

5
3 1 6 1 7

output:

3.54440434

result:

ok found '3.5444043', expected '3.5444044', error '0.0000000'

Test #2:

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

input:

3
500 300 400

output:

250.00000000

result:

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

Test #3:

score: 0
Accepted
time: 3ms
memory: 3752kb

input:

8
2000 3000 4000 2000 3000 4000 2000 3000

output:

3780.97412059

result:

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

Test #4:

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

input:

10
602 67 67 67 67 67 67 67 67 67

output:

3003.13981696

result:

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

Test #5:

score: 0
Accepted
time: 2ms
memory: 4028kb

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:

490696.12979339

result:

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

Test #6:

score: 0
Accepted
time: 4ms
memory: 4084kb

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:

463780.04848019

result:

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

Test #7:

score: 0
Accepted
time: 5ms
memory: 4016kb

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:

474979.62360362

result:

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

Test #8:

score: 0
Accepted
time: 4ms
memory: 4112kb

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:

462340.85626229

result:

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

Test #9:

score: 0
Accepted
time: 3ms
memory: 3956kb

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:

48616.36963225

result:

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

Test #10:

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

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:

48970.93943721

result:

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

Test #11:

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

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:

47884.14953052

result:

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

Test #12:

score: 0
Accepted
time: 1ms
memory: 4188kb

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:

48019.61516508

result:

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

Test #13:

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

input:

10
4719 3755 2542 1190 5557 3641 5426 1578 5247 3181

output:

6009.54525298

result:

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

Test #14:

score: 0
Accepted
time: 3ms
memory: 4124kb

input:

10
2443 973 5013 5104 418 5498 2436 5522 512 1539

output:

4889.46749589

result:

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

Test #15:

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

input:

10
1854 1474 3499 1575 1422 3130 2402 5948 2378 2670

output:

4340.86617100

result:

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

Test #16:

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

input:

10
2343 137 3849 255 2682 1652 1797 4299 3474 4549

output:

4123.01658992

result:

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

Test #17:

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

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:

128109.40651695

result:

ok found '128109.4065169', expected '128109.4065170', error '0.0000000'

Test #18:

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

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:

125432.98818249

result:

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

Test #19:

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

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:

116578.99306122

result:

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

Test #20:

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

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:

118802.71684377

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:

2368.99134899

result:

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

Test #22:

score: 0
Accepted
time: 2ms
memory: 4076kb

input:

3
5104 418 5498

output:

7931.54979172

result:

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

Test #23:

score: 0
Accepted
time: 2ms
memory: 4104kb

input:

3
2670 3423 5104

output:

2776.81973771

result:

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

Test #24:

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

input:

3
1797 4299 3474

output:

2222.97509385

result:

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

Test #25:

score: 0
Accepted
time: 2ms
memory: 4152kb

input:

4
4719 3755 2542 1190

output:

2385.88448290

result:

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

Test #26:

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

input:

4
2443 973 5013 5104

output:

2673.31010418

result:

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

Test #27:

score: 0
Accepted
time: 3ms
memory: 4152kb

input:

4
1854 1474 3499 1575

output:

1762.71848180

result:

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

Test #28:

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

input:

4
2682 1652 1797 4299

output:

2155.77507246

result:

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

Test #29:

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

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:

247805.37488781

result:

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

Test #30:

score: 0
Accepted
time: 3ms
memory: 3964kb

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:

236689.37061875

result:

ok found '236689.3706187', expected '236689.3706188', error '0.0000000'

Test #31:

score: 0
Accepted
time: 3ms
memory: 4288kb

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:

240655.23169996

result:

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

Test #32:

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

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:

239234.45908296

result:

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

Test #33:

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

input:

5
4719 3755 2542 1190 5557

output:

3171.25984181

result:

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

Test #34:

score: 0
Accepted
time: 2ms
memory: 4100kb

input:

5
2443 973 5013 5104 418

output:

2706.46183374

result:

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

Test #35:

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

input:

5
1854 1474 3499 1575 1422

output:

1804.04624825

result:

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

Test #36:

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

input:

5
2343 137 3849 255 2682

output:

1926.48513829

result:

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

Test #37:

score: 0
Accepted
time: 2ms
memory: 4072kb

input:

6
4719 3755 2542 1190 5557 3641

output:

3658.24418482

result:

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

Test #38:

score: 0
Accepted
time: 2ms
memory: 4208kb

input:

6
2443 973 5013 5104 418 5498

output:

3441.78494470

result:

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

Test #39:

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

input:

6
1854 1474 3499 1575 1422 3130

output:

2223.64733058

result:

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

Test #40:

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

input:

6
2343 137 3849 255 2682 1652

output:

2013.75237761

result:

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

Test #41:

score: 0
Accepted
time: 1ms
memory: 3960kb

input:

7
4719 3755 2542 1190 5557 3641 5426

output:

4485.56734263

result:

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

Test #42:

score: 0
Accepted
time: 2ms
memory: 4216kb

input:

7
2443 973 5013 5104 418 5498 2436

output:

3760.18015756

result:

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

Test #43:

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

input:

7
1854 1474 3499 1575 1422 3130 2402

output:

2569.83844551

result:

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

Test #44:

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

input:

7
2343 137 3849 255 2682 1652 1797

output:

2218.93807489

result:

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

Test #45:

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

input:

3
3 4 5

output:

2.49999999

result:

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

Test #46:

score: 0
Accepted
time: 1ms
memory: 3872kb

input:

5
2 2 3 4 4

output:

2.61208403

result:

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

Test #47:

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

input:

4
20 30 40 50

output:

26.17648435

result:

ok found '26.1764843', expected '26.1764844', error '0.0000000'

Test #48:

score: 0
Accepted
time: 2ms
memory: 4076kb

input:

5
20 50 40 30 60

output:

35.20957451

result:

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

Test #49:

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

input:

5
11 12 13 14 15

output:

11.09316169

result:

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

Test #50:

score: 0
Accepted
time: 2ms
memory: 4032kb

input:

8
1 1 1 1 1 1 1 1

output:

1.30656296

result:

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

Test #51:

score: 0
Accepted
time: 3ms
memory: 4152kb

input:

3
13 12 5

output:

6.50000000

result:

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

Test #52:

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

input:

3
1300 1200 400

output:

652.87541339

result:

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

Test #53:

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

input:

3
60 120 130

output:

65.19048005

result:

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

Test #54:

score: 0
Accepted
time: 2ms
memory: 4100kb

input:

4
6000 5801 100 100

output:

29539.48971905

result:

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

Test #55:

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

input:

4
6000 1 6000 1

output:

3000.00004167

result:

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

Test #56:

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

input:

4
6000 100 6000 200

output:

3000.93741864

result:

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

Test #57:

score: 0
Accepted
time: 1ms
memory: 4008kb

input:

4
6000 5999 1 1

output:

3463.81297602

result:

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

Test #58:

score: 0
Accepted
time: 3ms
memory: 4284kb

input:

5
6000 1501 1500 1500 1500

output:

91877.75769475

result:

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

Test #59:

score: 0
Accepted
time: 3ms
memory: 3752kb

input:

5
6000 6000 1 1 1

output:

3000.00009375

result:

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

Test #60:

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

input:

5
6000 6000 6000 1 1

output:

3464.29408126

result:

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

Test #61:

score: 0
Accepted
time: 3ms
memory: 4192kb

input:

5
6000 6000 6000 6000 1

output:

4242.76568896

result:

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

Test #62:

score: 0
Accepted
time: 3ms
memory: 3968kb

input:

5
6000 6000 6000 6000 6000

output:

5103.90485011

result:

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

Test #63:

score: 0
Accepted
time: 2ms
memory: 3956kb

input:

5
1000 2000 3000 4000 5000

output:

2717.56722526

result:

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

Test #64:

score: 0
Accepted
time: 2ms
memory: 4284kb

input:

4
6000 2001 2000 2000

output:

89465.07977408

result:

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

Test #65:

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

input:

5
6000 1510 1510 1510 1510

output:

14662.35416728

result:

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

Test #66:

score: 0
Accepted
time: 1ms
memory: 4192kb

input:

4
60 21 20 20

output:

91.67913225

result:

ok found '91.6791322', expected '91.6791323', error '0.0000000'

Test #67:

score: -100
Wrong Answer
time: 4ms
memory: 4224kb

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:

94721.29582337

result:

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