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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#18022#2267. Jewelry Sizenamelessgugugu#WA 3ms2588kbC++141.3kb2022-01-15 18:43:522022-05-04 16:42:21

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 16:42:21]
  • 评测
  • 测评结果：WA
  • 用时：3ms
  • 内存：2588kb
查看
  • [2022-01-15 18:43:52]
  • 提交

answer

#include <cstdio>
#include <cstring>
#include <algorithm>
#include <cmath>
typedef long double ldb;
const int N = 1005;
const ldb eps = 1e-8, pi = acos(-1);
int n, x[N], mx;
ldb bs1(void)
{
    ldb l = mx / 2.0, r = 1e10;
    while(r - l > 1e-8)
    {
        ldb mid = (l + r) / 2.0;
        ldb tmp = -pi;
        for (int i = 1; i <= n;++i)
            tmp += asin(x[i] / 2.0 / mid);
        if(tmp <= 0)
            r = mid;
        else
            l = mid;
    }
    return l;
}
ldb bs2(void)
{
    ldb l = mx / 2.0, r = 1e10;
    while (r - l > 1e-8)
    {
        ldb mid = (l + r) / 2.0;
        ldb tmp = 2 * asin(mx / 2.0 / mid);
        for (int i = 1; i <= n; ++i)
            tmp -= asin(x[i] / 2.0 / mid);
        if (tmp <= 0)
            r = mid;
        else
            l = mid;
    }
    return l;
}
int main(void)
{
    scanf("%d", &n);
    for (int i = 1; i <= n;++i)
        scanf("%d", x + i), mx = std::max(mx, x[i]);
    double res = bs1();
    ldb tmp = -pi;
    for (int i = 1; i <= n; ++i)
        tmp += asin(x[i] / 2.0 / res);
    if(tmp > eps || tmp < -eps)
        res = bs2();
    tmp = 2 * asin(mx / 2.0 / res);
    for (int i = 1; i <= n; ++i)
        tmp -= asin(x[i] / 2.0 / res);
    printf("%.8lf\n", res);
    return 0;
}
Source code, Language: C++14

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 2260kb

input:

5
3 1 6 1 7

output:

3.54440435

result:

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

Test #2:

score: 0
Accepted
time: 0ms
memory: 2480kb

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: 1ms
memory: 2252kb

input:

8
2000 3000 4000 2000 3000 4000 2000 3000

output:

3780.97412060

result:

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

Test #4:

score: 0
Accepted
time: 1ms
memory: 2260kb

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: 1ms
memory: 2516kb

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:

490696.12979345

result:

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

Test #6:

score: 0
Accepted
time: 2ms
memory: 2464kb

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:

463780.04847993

result:

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

Test #7:

score: 0
Accepted
time: 2ms
memory: 2560kb

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:

474979.62360427

result:

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

Test #8:

score: 0
Accepted
time: 2ms
memory: 2532kb

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:

462340.85626304

result:

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

Test #9:

score: 0
Accepted
time: 1ms
memory: 2464kb

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:

48616.36963226

result:

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

Test #10:

score: 0
Accepted
time: 1ms
memory: 2272kb

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: 1ms
memory: 2284kb

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: 2516kb

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: 1ms
memory: 2216kb

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: 1ms
memory: 2296kb

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: 1ms
memory: 2132kb

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: 1ms
memory: 2356kb

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: 2ms
memory: 2540kb

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: 2ms
memory: 2468kb

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:

125432.98818248

result:

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

Test #19:

score: 0
Accepted
time: 2ms
memory: 2464kb

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:

116578.99306125

result:

ok found '116578.9930613', expected '116578.9930612', error '0.0000000'

Test #20:

score: 0
Accepted
time: 2ms
memory: 2460kb

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: 2344kb

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: 1ms
memory: 2500kb

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: 2480kb

input:

3
2670 3423 5104

output:

2776.81973772

result:

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

Test #24:

score: 0
Accepted
time: 1ms
memory: 2580kb

input:

3
1797 4299 3474

output:

2222.97509386

result:

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

Test #25:

score: 0
Accepted
time: 2ms
memory: 2580kb

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: 1ms
memory: 2264kb

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: 1ms
memory: 2588kb

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: 1ms
memory: 2452kb

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: 2340kb

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:

247805.37488782

result:

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

Test #30:

score: 0
Accepted
time: 0ms
memory: 2544kb

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:

236689.37061877

result:

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

Test #31:

score: 0
Accepted
time: 2ms
memory: 2464kb

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:

240655.23169997

result:

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

Test #32:

score: 0
Accepted
time: 2ms
memory: 2276kb

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:

239234.45908297

result:

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

Test #33:

score: 0
Accepted
time: 1ms
memory: 2316kb

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: 1ms
memory: 2356kb

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: 1ms
memory: 2428kb

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: 2264kb

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: 1ms
memory: 2132kb

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: 1ms
memory: 2304kb

input:

6
2443 973 5013 5104 418 5498

output:

3441.78494471

result:

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

Test #39:

score: 0
Accepted
time: 1ms
memory: 2368kb

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: 1ms
memory: 2368kb

input:

6
2343 137 3849 255 2682 1652

output:

2013.75237760

result:

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

Test #41:

score: 0
Accepted
time: 1ms
memory: 2300kb

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: 1ms
memory: 2216kb

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: 2140kb

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: 2136kb

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: 2ms
memory: 2340kb

input:

3
3 4 5

output:

2.50000000

result:

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

Test #46:

score: 0
Accepted
time: 2ms
memory: 2336kb

input:

5
2 2 3 4 4

output:

2.61208404

result:

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

Test #47:

score: 0
Accepted
time: 1ms
memory: 2468kb

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: 0ms
memory: 2584kb

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: 1ms
memory: 2208kb

input:

5
11 12 13 14 15

output:

11.09316169

result:

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

Test #50:

score: -100
Wrong Answer
time: 0ms
memory: 2260kb

input:

8
1 1 1 1 1 1 1 1

output:

0.50000000

result:

wrong answer 1st numbers differ - expected: '1.3065630', found: '0.5000000', error = '0.6173166'
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