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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#501522#2267. Jewelry SizeyzkkaiWA 6ms3996kbC++201.1kb2024-08-02 20:01:152024-08-02 20:01:17

Judging History

你现在查看的是最新测评结果

  • [2024-08-02 20:01:17]
  • 评测
  • 测评结果:WA
  • 用时:6ms
  • 内存:3996kb
  • [2024-08-02 20:01:15]
  • 提交

answer

#include <bits/stdc++.h>
#define sz(x) signed(size(x))
using namespace std;
using ll = long long;
using LL = long long;
using ld = long double;

inline void solve() {
    int n;
    cin >> n;
    
    vector<int> a(n);
    for (int& i : a)
        cin >> i;


    ld l = 0, r = 10000001;
    while (r - l > 1e-6) {
        ld mid = (l + r) / 2;
        
        ld sum = 0, mx = 0;
        for (int i = 0; i < n; ++i) {
            ld th = 1.0 - 1.0 * a[i] * a[i] / (2 * mid * mid);
            if (a[i] > mid + mid + 1e-6) {
                sum = 1e9;
                break;
            }

            mx = max(mx, acos(th));
            sum += acos(th);
        }
    

        if (sum < 2 * M_PI){
            if(mx > sum - mx){
                l  = mid;
                continue;
            }
            r = mid;
        }
        else
            l = mid;
    }

    cout << setprecision(10) << r << '\n';
}

signed main() {
    cin.tie(0)->sync_with_stdio(0);
    int t = 1;
    while (t--)
        solve();
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3844kb

input:

5
3 1 6 1 7

output:

3.544404662

result:

ok found '3.5444047', expected '3.5444044', error '0.0000001'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

3
500 300 400

output:

250.0000005

result:

ok found '250.0000005', expected '250.0000000', error '0.0000000'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

8
2000 3000 4000 2000 3000 4000 2000 3000

output:

3780.974121

result:

ok found '3780.9741210', expected '3780.9741206', error '0.0000000'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3924kb

input:

10
602 67 67 67 67 67 67 67 67 67

output:

3003.139817

result:

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

Test #5:

score: 0
Accepted
time: 6ms
memory: 3808kb

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:

490696.1298

result:

ok found '490696.1298000', expected '490696.1297935', error '0.0000000'

Test #6:

score: 0
Accepted
time: 6ms
memory: 3848kb

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:

463780.0485

result:

ok found '463780.0485000', expected '463780.0484799', error '0.0000000'

Test #7:

score: 0
Accepted
time: 6ms
memory: 3876kb

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:

474979.6236

result:

ok found '474979.6236000', expected '474979.6236043', error '0.0000000'

Test #8:

score: 0
Accepted
time: 6ms
memory: 3848kb

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:

462340.8563

result:

ok found '462340.8563000', expected '462340.8562630', error '0.0000000'

Test #9:

score: 0
Accepted
time: 1ms
memory: 3804kb

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:

48616.36963

result:

ok found '48616.3696300', expected '48616.3696323', error '0.0000000'

Test #10:

score: 0
Accepted
time: 1ms
memory: 3792kb

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:

48970.93944

result:

ok found '48970.9394400', expected '48970.9394372', error '0.0000000'

Test #11:

score: 0
Accepted
time: 1ms
memory: 3800kb

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:

47884.14953

result:

ok found '47884.1495300', expected '47884.1495305', error '0.0000000'

Test #12:

score: 0
Accepted
time: 1ms
memory: 3804kb

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:

48019.61517

result:

ok found '48019.6151700', expected '48019.6151651', error '0.0000000'

Test #13:

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

input:

10
4719 3755 2542 1190 5557 3641 5426 1578 5247 3181

output:

6009.545254

result:

ok found '6009.5452540', expected '6009.5452530', error '0.0000000'

Test #14:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

10
2443 973 5013 5104 418 5498 2436 5522 512 1539

output:

4889.467496

result:

ok found '4889.4674960', expected '4889.4674959', error '0.0000000'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

10
1854 1474 3499 1575 1422 3130 2402 5948 2378 2670

output:

4340.866171

result:

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

Test #16:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

10
2343 137 3849 255 2682 1652 1797 4299 3474 4549

output:

4123.01659

result:

ok found '4123.0165900', expected '4123.0165899', error '0.0000000'

Test #17:

score: 0
Accepted
time: 2ms
memory: 3804kb

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:

128109.4065

result:

ok found '128109.4065000', expected '128109.4065170', error '0.0000000'

Test #18:

score: 0
Accepted
time: 2ms
memory: 3840kb

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:

125432.9882

result:

ok found '125432.9882000', expected '125432.9881825', error '0.0000000'

Test #19:

score: 0
Accepted
time: 0ms
memory: 3764kb

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:

116578.9931

result:

ok found '116578.9931000', expected '116578.9930612', error '0.0000000'

Test #20:

score: 0
Accepted
time: 2ms
memory: 3864kb

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:

118802.7168

result:

ok found '118802.7168000', expected '118802.7168438', error '0.0000000'

Test #21:

score: 0
Accepted
time: 0ms
memory: 3924kb

input:

3
4719 3755 2542

output:

2368.991349

result:

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

Test #22:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

3
5104 418 5498

output:

7931.549792

result:

ok found '7931.5497920', expected '7931.5497917', error '0.0000000'

Test #23:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

3
2670 3423 5104

output:

2776.819738

result:

ok found '2776.8197380', expected '2776.8197377', error '0.0000000'

Test #24:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

3
1797 4299 3474

output:

2222.975094

result:

ok found '2222.9750940', expected '2222.9750939', error '0.0000000'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

4
4719 3755 2542 1190

output:

2385.884483

result:

ok found '2385.8844830', expected '2385.8844829', error '0.0000000'

Test #26:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

4
2443 973 5013 5104

output:

2673.310105

result:

ok found '2673.3101050', expected '2673.3101042', error '0.0000000'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

4
1854 1474 3499 1575

output:

1762.718482

result:

ok found '1762.7184820', expected '1762.7184818', error '0.0000000'

Test #28:

score: 0
Accepted
time: 0ms
memory: 3864kb

input:

4
2682 1652 1797 4299

output:

2155.775073

result:

ok found '2155.7750730', expected '2155.7750725', error '0.0000000'

Test #29:

score: 0
Accepted
time: 3ms
memory: 3924kb

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:

247805.3749

result:

ok found '247805.3749000', expected '247805.3748878', error '0.0000000'

Test #30:

score: 0
Accepted
time: 3ms
memory: 3856kb

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:

236689.3706

result:

ok found '236689.3706000', expected '236689.3706188', error '0.0000000'

Test #31:

score: 0
Accepted
time: 3ms
memory: 3848kb

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:

240655.2317

result:

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

Test #32:

score: 0
Accepted
time: 3ms
memory: 3868kb

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:

239234.4591

result:

ok found '239234.4591000', expected '239234.4590830', error '0.0000000'

Test #33:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

5
4719 3755 2542 1190 5557

output:

3171.259842

result:

ok found '3171.2598420', expected '3171.2598418', error '0.0000000'

Test #34:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

5
2443 973 5013 5104 418

output:

2706.461834

result:

ok found '2706.4618340', expected '2706.4618337', error '0.0000000'

Test #35:

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

input:

5
1854 1474 3499 1575 1422

output:

1804.046248

result:

ok found '1804.0462480', expected '1804.0462482', error '0.0000000'

Test #36:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

5
2343 137 3849 255 2682

output:

1926.485139

result:

ok found '1926.4851390', expected '1926.4851383', error '0.0000000'

Test #37:

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

input:

6
4719 3755 2542 1190 5557 3641

output:

3658.244185

result:

ok found '3658.2441850', expected '3658.2441848', error '0.0000000'

Test #38:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

6
2443 973 5013 5104 418 5498

output:

3441.784945

result:

ok found '3441.7849450', expected '3441.7849447', error '0.0000000'

Test #39:

score: 0
Accepted
time: 0ms
memory: 3864kb

input:

6
1854 1474 3499 1575 1422 3130

output:

2223.647331

result:

ok found '2223.6473310', expected '2223.6473306', error '0.0000000'

Test #40:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

6
2343 137 3849 255 2682 1652

output:

2013.752378

result:

ok found '2013.7523780', expected '2013.7523776', error '0.0000000'

Test #41:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

7
4719 3755 2542 1190 5557 3641 5426

output:

4485.567343

result:

ok found '4485.5673430', expected '4485.5673426', error '0.0000000'

Test #42:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

7
2443 973 5013 5104 418 5498 2436

output:

3760.180158

result:

ok found '3760.1801580', expected '3760.1801576', error '0.0000000'

Test #43:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

7
1854 1474 3499 1575 1422 3130 2402

output:

2569.838446

result:

ok found '2569.8384460', expected '2569.8384455', error '0.0000000'

Test #44:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

7
2343 137 3849 255 2682 1652 1797

output:

2218.938075

result:

ok found '2218.9380750', expected '2218.9380749', error '0.0000000'

Test #45:

score: -100
Wrong Answer
time: 0ms
memory: 3996kb

input:

3
3 4 5

output:

2.500000528

result:

wrong answer 1st numbers differ - expected: '2.5000000', found: '2.5000005', error = '0.0000002'