QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#251691 | #2267. Jewelry Size | lemonilemon# | WA | 2ms | 4420kb | C++17 | 1.6kb | 2023-11-14 23:26:06 | 2023-11-14 23:26:06 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using uint = unsigned int;
const double EPS = 1e-10;
const int INF = 0x3F3F3F3F;
const ll LINF = 46 * ll(1e17);
const int MOD = 1e9 + 7;
const int maxn = 1e5 + 25;
signed main() { ios::sync_with_stdio(0); cin.tie(0);
int n;
cin >> n;
vector<int> arr(n);
for (int &a : arr)
cin >> a;
auto check = [&] (double r) {
double theta = 0;
for (int x : arr) {
double cur_cos = (2 * r * r - x * x) / (2 * r * r);
theta += acos(cur_cos);
}
return theta;
};
auto check2 = [&] (double r) {
double theta = 0, mx = 0;
for (int x : arr) {
double cur_cos = (2 * r * r - x * x) / (2 * r * r);
double ac = acos(cur_cos);
theta += ac;
mx = max(mx, ac);
}
// cerr << r << ' ' << theta << ' ' << mx << '\n';
return theta < 2 * mx;
};
int mx = *max_element(arr.begin(), arr.end());
const double PI = acos(-1);
double l = double(mx) / 2, r = 1e7;
while (r - l > EPS) {
double m = (l + r) / 2;
if (check(m) > 2 * PI)
l = m;
else
r = m;
}
cout << fixed << setprecision(15);
if (check(l) < 2 * PI && abs(2 * PI - check(l)) > EPS)
;
else {
cout << l << '\n';
return 0;
}
l = double(mx) / 2, r = 1e7;
while (r - l > EPS) {
double m = (l + r) / 2;
if (check2(m))
l = m;
else
r = m;
}
cout << l << '\n';
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 4152kb
input:
5 3 1 6 1 7
output:
3.544404350892298
result:
ok found '3.5444044', expected '3.5444044', error '0.0000000'
Test #2:
score: 0
Accepted
time: 0ms
memory: 4176kb
input:
3 500 300 400
output:
250.000000000000000
result:
ok found '250.0000000', expected '250.0000000', error '0.0000000'
Test #3:
score: 0
Accepted
time: 0ms
memory: 4176kb
input:
8 2000 3000 4000 2000 3000 4000 2000 3000
output:
3780.974120599435992
result:
ok found '3780.9741206', expected '3780.9741206', error '0.0000000'
Test #4:
score: 0
Accepted
time: 0ms
memory: 4288kb
input:
10 602 67 67 67 67 67 67 67 67 67
output:
3003.139817057666733
result:
ok found '3003.1398171', expected '3003.1398170', error '0.0000000'
Test #5:
score: 0
Accepted
time: 1ms
memory: 4140kb
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:
490696.129793059313670
result:
ok found '490696.1297931', expected '490696.1297935', error '0.0000000'
Test #6:
score: 0
Accepted
time: 1ms
memory: 4356kb
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:
463780.048478853772394
result:
ok found '463780.0484789', expected '463780.0484799', error '0.0000000'
Test #7:
score: 0
Accepted
time: 1ms
memory: 4232kb
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:
474979.623602651990950
result:
ok found '474979.6236027', expected '474979.6236043', error '0.0000000'
Test #8:
score: 0
Accepted
time: 1ms
memory: 4296kb
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:
462340.856262229266576
result:
ok found '462340.8562622', expected '462340.8562630', error '0.0000000'
Test #9:
score: 0
Accepted
time: 0ms
memory: 4164kb
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:
48616.369632259855280
result:
ok found '48616.3696323', expected '48616.3696323', error '0.0000000'
Test #10:
score: 0
Accepted
time: 0ms
memory: 4356kb
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:
48970.939437214314239
result:
ok found '48970.9394372', expected '48970.9394372', error '0.0000000'
Test #11:
score: 0
Accepted
time: 0ms
memory: 4180kb
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:
47884.149530523332942
result:
ok found '47884.1495305', expected '47884.1495305', error '0.0000000'
Test #12:
score: 0
Accepted
time: 0ms
memory: 4284kb
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:
48019.615165085779154
result:
ok found '48019.6151651', expected '48019.6151651', error '0.0000000'
Test #13:
score: 0
Accepted
time: 0ms
memory: 4340kb
input:
10 4719 3755 2542 1190 5557 3641 5426 1578 5247 3181
output:
6009.545252984118633
result:
ok found '6009.5452530', expected '6009.5452530', error '0.0000000'
Test #14:
score: 0
Accepted
time: 0ms
memory: 4412kb
input:
10 2443 973 5013 5104 418 5498 2436 5522 512 1539
output:
4889.467495887947734
result:
ok found '4889.4674959', expected '4889.4674959', error '0.0000000'
Test #15:
score: 0
Accepted
time: 0ms
memory: 4288kb
input:
10 1854 1474 3499 1575 1422 3130 2402 5948 2378 2670
output:
4340.866170996263463
result:
ok found '4340.8661710', expected '4340.8661710', error '0.0000000'
Test #16:
score: 0
Accepted
time: 0ms
memory: 4220kb
input:
10 2343 137 3849 255 2682 1652 1797 4299 3474 4549
output:
4123.016589921224295
result:
ok found '4123.0165899', expected '4123.0165899', error '0.0000000'
Test #17:
score: 0
Accepted
time: 1ms
memory: 4224kb
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:
128109.406516960021690
result:
ok found '128109.4065170', expected '128109.4065170', error '0.0000000'
Test #18:
score: 0
Accepted
time: 1ms
memory: 4280kb
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:
125432.988182438872172
result:
ok found '125432.9881824', expected '125432.9881825', error '0.0000000'
Test #19:
score: 0
Accepted
time: 1ms
memory: 4228kb
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:
116578.993061201981618
result:
ok found '116578.9930612', expected '116578.9930612', error '0.0000000'
Test #20:
score: 0
Accepted
time: 1ms
memory: 4236kb
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:
118802.716843738409807
result:
ok found '118802.7168437', expected '118802.7168438', error '0.0000000'
Test #21:
score: 0
Accepted
time: 0ms
memory: 4328kb
input:
3 4719 3755 2542
output:
2368.991348992948588
result:
ok found '2368.9913490', expected '2368.9913490', error '0.0000000'
Test #22:
score: 0
Accepted
time: 0ms
memory: 4328kb
input:
3 5104 418 5498
output:
7931.549791727638876
result:
ok found '7931.5497917', expected '7931.5497917', error '0.0000000'
Test #23:
score: 0
Accepted
time: 0ms
memory: 4124kb
input:
3 2670 3423 5104
output:
2776.819737716801683
result:
ok found '2776.8197377', expected '2776.8197377', error '0.0000000'
Test #24:
score: 0
Accepted
time: 0ms
memory: 4332kb
input:
3 1797 4299 3474
output:
2222.975093858277432
result:
ok found '2222.9750939', expected '2222.9750939', error '0.0000000'
Test #25:
score: 0
Accepted
time: 0ms
memory: 4288kb
input:
4 4719 3755 2542 1190
output:
2385.884482899658906
result:
ok found '2385.8844829', expected '2385.8844829', error '0.0000000'
Test #26:
score: 0
Accepted
time: 0ms
memory: 4288kb
input:
4 2443 973 5013 5104
output:
2673.310104185322416
result:
ok found '2673.3101042', expected '2673.3101042', error '0.0000000'
Test #27:
score: 0
Accepted
time: 0ms
memory: 4132kb
input:
4 1854 1474 3499 1575
output:
1762.718481806240789
result:
ok found '1762.7184818', expected '1762.7184818', error '0.0000000'
Test #28:
score: 0
Accepted
time: 0ms
memory: 4204kb
input:
4 2682 1652 1797 4299
output:
2155.775072465019548
result:
ok found '2155.7750725', expected '2155.7750725', error '0.0000000'
Test #29:
score: 0
Accepted
time: 1ms
memory: 4220kb
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:
247805.374887905025389
result:
ok found '247805.3748879', expected '247805.3748878', error '0.0000000'
Test #30:
score: 0
Accepted
time: 1ms
memory: 4256kb
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:
236689.370618575718254
result:
ok found '236689.3706186', expected '236689.3706188', error '0.0000000'
Test #31:
score: 0
Accepted
time: 1ms
memory: 4260kb
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:
240655.231700465898030
result:
ok found '240655.2317005', expected '240655.2317000', error '0.0000000'
Test #32:
score: 0
Accepted
time: 0ms
memory: 4216kb
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:
239234.459082834975561
result:
ok found '239234.4590828', expected '239234.4590830', error '0.0000000'
Test #33:
score: 0
Accepted
time: 0ms
memory: 4344kb
input:
5 4719 3755 2542 1190 5557
output:
3171.259841819484791
result:
ok found '3171.2598418', expected '3171.2598418', error '0.0000000'
Test #34:
score: 0
Accepted
time: 0ms
memory: 4344kb
input:
5 2443 973 5013 5104 418
output:
2706.461833743994248
result:
ok found '2706.4618337', expected '2706.4618337', error '0.0000000'
Test #35:
score: 0
Accepted
time: 0ms
memory: 4416kb
input:
5 1854 1474 3499 1575 1422
output:
1804.046248249484506
result:
ok found '1804.0462482', expected '1804.0462482', error '0.0000000'
Test #36:
score: 0
Accepted
time: 0ms
memory: 4324kb
input:
5 2343 137 3849 255 2682
output:
1926.485138287817108
result:
ok found '1926.4851383', expected '1926.4851383', error '0.0000000'
Test #37:
score: 0
Accepted
time: 0ms
memory: 4132kb
input:
6 4719 3755 2542 1190 5557 3641
output:
3658.244184829029109
result:
ok found '3658.2441848', expected '3658.2441848', error '0.0000000'
Test #38:
score: 0
Accepted
time: 0ms
memory: 4216kb
input:
6 2443 973 5013 5104 418 5498
output:
3441.784944708521380
result:
ok found '3441.7849447', expected '3441.7849447', error '0.0000000'
Test #39:
score: 0
Accepted
time: 0ms
memory: 4256kb
input:
6 1854 1474 3499 1575 1422 3130
output:
2223.647330588019031
result:
ok found '2223.6473306', expected '2223.6473306', error '0.0000000'
Test #40:
score: 0
Accepted
time: 0ms
memory: 4220kb
input:
6 2343 137 3849 255 2682 1652
output:
2013.752377609450377
result:
ok found '2013.7523776', expected '2013.7523776', error '0.0000000'
Test #41:
score: 0
Accepted
time: 0ms
memory: 4184kb
input:
7 4719 3755 2542 1190 5557 3641 5426
output:
4485.567342631738939
result:
ok found '4485.5673426', expected '4485.5673426', error '0.0000000'
Test #42:
score: 0
Accepted
time: 0ms
memory: 4180kb
input:
7 2443 973 5013 5104 418 5498 2436
output:
3760.180157569453968
result:
ok found '3760.1801576', expected '3760.1801576', error '0.0000000'
Test #43:
score: 0
Accepted
time: 0ms
memory: 4284kb
input:
7 1854 1474 3499 1575 1422 3130 2402
output:
2569.838445515643798
result:
ok found '2569.8384455', expected '2569.8384455', error '0.0000000'
Test #44:
score: 0
Accepted
time: 0ms
memory: 4348kb
input:
7 2343 137 3849 255 2682 1652 1797
output:
2218.938074898687773
result:
ok found '2218.9380749', expected '2218.9380749', error '0.0000000'
Test #45:
score: 0
Accepted
time: 0ms
memory: 4184kb
input:
3 3 4 5
output:
2.500000000000000
result:
ok found '2.5000000', expected '2.5000000', error '0.0000000'
Test #46:
score: 0
Accepted
time: 0ms
memory: 4236kb
input:
5 2 2 3 4 4
output:
2.612084041700344
result:
ok found '2.6120840', expected '2.6120840', error '0.0000000'
Test #47:
score: 0
Accepted
time: 0ms
memory: 4128kb
input:
4 20 30 40 50
output:
26.176484357752326
result:
ok found '26.1764844', expected '26.1764844', error '0.0000000'
Test #48:
score: 0
Accepted
time: 0ms
memory: 4056kb
input:
5 20 50 40 30 60
output:
35.209574511616594
result:
ok found '35.2095745', expected '35.2095745', error '0.0000000'
Test #49:
score: 0
Accepted
time: 0ms
memory: 4220kb
input:
5 11 12 13 14 15
output:
11.093161690600347
result:
ok found '11.0931617', expected '11.0931617', error '0.0000000'
Test #50:
score: 0
Accepted
time: 0ms
memory: 4164kb
input:
8 1 1 1 1 1 1 1 1
output:
1.306562964875836
result:
ok found '1.3065630', expected '1.3065630', error '0.0000000'
Test #51:
score: 0
Accepted
time: 0ms
memory: 4348kb
input:
3 13 12 5
output:
6.500000000000000
result:
ok found '6.5000000', expected '6.5000000', error '0.0000000'
Test #52:
score: 0
Accepted
time: 0ms
memory: 4168kb
input:
3 1300 1200 400
output:
652.875413397252032
result:
ok found '652.8754134', expected '652.8754134', error '0.0000000'
Test #53:
score: 0
Accepted
time: 0ms
memory: 4220kb
input:
3 60 120 130
output:
65.190480058579539
result:
ok found '65.1904801', expected '65.1904801', error '0.0000000'
Test #54:
score: 0
Accepted
time: 0ms
memory: 4132kb
input:
4 6000 5801 100 100
output:
29539.489730766261346
result:
ok found '29539.4897308', expected '29539.4897321', error '0.0000000'
Test #55:
score: 0
Accepted
time: 0ms
memory: 4176kb
input:
4 6000 1 6000 1
output:
3000.000041666657125
result:
ok found '3000.0000417', expected '3000.0000417', error '0.0000000'
Test #56:
score: 0
Accepted
time: 0ms
memory: 4328kb
input:
4 6000 100 6000 200
output:
3000.937418649706160
result:
ok found '3000.9374186', expected '3000.9374186', error '0.0000000'
Test #57:
score: 0
Accepted
time: 0ms
memory: 4260kb
input:
4 6000 5999 1 1
output:
3463.812977084899103
result:
ok found '3463.8129771', expected '3463.8129761', error '0.0000000'
Test #58:
score: 0
Accepted
time: 0ms
memory: 4176kb
input:
5 6000 1501 1500 1500 1500
output:
91877.757740881861537
result:
ok found '91877.7577409', expected '91877.7577247', error '0.0000000'
Test #59:
score: 0
Accepted
time: 0ms
memory: 4164kb
input:
5 6000 6000 1 1 1
output:
3000.000093749976713
result:
ok found '3000.0000937', expected '3000.0000937', error '0.0000000'
Test #60:
score: 0
Accepted
time: 0ms
memory: 4328kb
input:
5 6000 6000 6000 1 1
output:
3464.294081264465149
result:
ok found '3464.2940813', expected '3464.2940813', error '0.0000000'
Test #61:
score: 0
Accepted
time: 0ms
memory: 4356kb
input:
5 6000 6000 6000 6000 1
output:
4242.765688960800617
result:
ok found '4242.7656890', expected '4242.7656890', error '0.0000000'
Test #62:
score: 0
Accepted
time: 0ms
memory: 4420kb
input:
5 6000 6000 6000 6000 6000
output:
5103.904850112185159
result:
ok found '5103.9048501', expected '5103.9048501', error '0.0000000'
Test #63:
score: 0
Accepted
time: 0ms
memory: 4176kb
input:
5 1000 2000 3000 4000 5000
output:
2717.567225261906060
result:
ok found '2717.5672253', expected '2717.5672253', error '0.0000000'
Test #64:
score: 0
Accepted
time: 0ms
memory: 4180kb
input:
4 6000 2001 2000 2000
output:
89465.079754596154089
result:
ok found '89465.0797546', expected '89465.0797801', error '0.0000000'
Test #65:
score: 0
Accepted
time: 0ms
memory: 4224kb
input:
5 6000 1510 1510 1510 1510
output:
14662.354167281717309
result:
ok found '14662.3541673', expected '14662.3541673', error '0.0000000'
Test #66:
score: 0
Accepted
time: 0ms
memory: 4220kb
input:
4 60 21 20 20
output:
91.679132255595704
result:
ok found '91.6791323', expected '91.6791323', error '0.0000000'
Test #67:
score: -100
Wrong Answer
time: 2ms
memory: 4164kb
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:
94721.969205320900073
result:
wrong answer 1st numbers differ - expected: '94723.6448403', found: '94721.9692053', error = '0.0000177'