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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#17905#2267. Jewelry SizeJohnAlfnov#TL 5ms4288kbC++14650b2022-01-15 09:32:262022-05-04 16:17:51

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 16:17:51]
  • 评测
  • 测评结果：TL
  • 用时：5ms
  • 内存：4288kb
查看
  • [2022-01-15 09:32:26]
  • 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]);
	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-12){
		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("%.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: 4152kb

input:

5
3 1 6 1 7

output:

3.5444043434

result:

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

Test #2:

score: 0
Accepted
time: 3ms
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: 4008kb

input:

8
2000 3000 4000 2000 3000 4000 2000 3000

output:

3780.9741205930

result:

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

Test #4:

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

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: 5ms
memory: 3968kb

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:

490696.1297933864

result:

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

Test #6:

score: 0
Accepted
time: 5ms
memory: 4024kb

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:

463780.0484801868

result:

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

Test #7:

score: 0
Accepted
time: 5ms
memory: 4012kb

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:

474979.6236036197

result:

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

Test #8:

score: 0
Accepted
time: 5ms
memory: 4012kb

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:

462340.8562622888

result:

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

Test #9:

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

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:

48616.3696322528

result:

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

Test #10:

score: 0
Accepted
time: 1ms
memory: 3928kb

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:

48970.9394372095

result:

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

Test #11:

score: 0
Accepted
time: 1ms
memory: 4212kb

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:

47884.1495305193

result:

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

Test #12:

score: 0
Accepted
time: 3ms
memory: 4008kb

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:

48019.6151650780

result:

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

Test #13:

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

input:

10
4719 3755 2542 1190 5557 3641 5426 1578 5247 3181

output:

6009.5452529829

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:

4889.4674958877

result:

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

Test #15:

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

input:

10
1854 1474 3499 1575 1422 3130 2402 5948 2378 2670

output:

4340.8661709954

result:

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

Test #16:

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

input:

10
2343 137 3849 255 2682 1652 1797 4299 3474 4549

output:

4123.0165899186

result:

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

Test #17:

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

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:

128109.4065169519

result:

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

Test #18:

score: 0
Accepted
time: 3ms
memory: 4004kb

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:

125432.9881824923

result:

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

Test #19:

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

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:

116578.9930612249

result:

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

Test #20:

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

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:

118802.7168437689

result:

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

Test #21:

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

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: 1ms
memory: 4152kb

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: 2ms
memory: 4156kb

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: 0ms
memory: 4020kb

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: 4212kb

input:

4
4719 3755 2542 1190

output:

2385.8844828961

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:

2673.3101041820

result:

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

Test #27:

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

input:

4
1854 1474 3499 1575

output:

1762.7184818063

result:

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

Test #28:

score: 0
Accepted
time: 3ms
memory: 4156kb

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: 4ms
memory: 4288kb

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:

247805.3748878129

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:

236689.3706187501

result:

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

Test #31:

score: 0
Accepted
time: 3ms
memory: 4008kb

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:

240655.2316999555

result:

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

Test #32:

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

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:

239234.4590829598

result:

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

Test #33:

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

input:

5
4719 3755 2542 1190 5557

output:

3171.2598418121

result:

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

Test #34:

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

input:

5
2443 973 5013 5104 418

output:

2706.4618337391

result:

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

Test #35:

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

input:

5
1854 1474 3499 1575 1422

output:

1804.0462482460

result:

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

Test #36:

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

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: 2ms
memory: 4284kb

input:

6
4719 3755 2542 1190 5557 3641

output:

3658.2441848232

result:

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

Test #38:

score: 0
Accepted
time: 2ms
memory: 3872kb

input:

6
2443 973 5013 5104 418 5498

output:

3441.7849446999

result:

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

Test #39:

score: 0
Accepted
time: 1ms
memory: 3956kb

input:

6
1854 1474 3499 1575 1422 3130

output:

2223.6473305792

result:

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

Test #40:

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

input:

6
2343 137 3849 255 2682 1652

output:

2013.7523776054

result:

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

Test #41:

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

input:

7
4719 3755 2542 1190 5557 3641 5426

output:

4485.5673426270

result:

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

Test #42:

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

input:

7
2443 973 5013 5104 418 5498 2436

output:

3760.1801575615

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:

2569.8384455097

result:

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

Test #44:

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

input:

7
2343 137 3849 255 2682 1652 1797

output:

2218.9380748916

result:

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

Test #45:

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

input:

3
3 4 5

output:

2.5000000000

result:

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

Test #46:

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

input:

5
2 2 3 4 4

output:

2.6120840335

result:

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

Test #47:

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

input:

4
20 30 40 50

output:

26.1764843490

result:

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

Test #48:

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

input:

5
20 50 40 30 60

output:

35.2095745093

result:

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

Test #49:

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

input:

5
11 12 13 14 15

output:

11.0931616870

result:

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

Test #50:

score: 0
Accepted
time: 3ms
memory: 4008kb

input:

8
1 1 1 1 1 1 1 1

output:

1.3065629645

result:

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

Test #51:

score: 0
Accepted
time: 3ms
memory: 4160kb

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: 3956kb

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: 3960kb

input:

3
60 120 130

output:

65.1904800542

result:

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

Test #54:

score: -100
Time Limit Exceeded

input:

4
6000 5801 100 100

output:

result:
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