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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#515015 | #2267. Jewelry Size | urayaha_yahaura# | WA | 9ms | 3944kb | C++14 | 1.3kb | 2024-08-11 14:30:02 | 2024-08-11 14:30:03 |
Judging History
answer
#include<algorithm>
#include<iostream>
#include<cstdio>
#include<cmath>
using namespace std;
typedef long double ld;
const ld pi=acos(-1),eps=1e-10;
ld ans=1e18;
int n;
int a[1005];
bool check(ld r){
ld res=0;
int i;
for(i=1;i<=n;i++){
ld c=1-(a[i]*a[i])/(2*r*r);
if(c<=-1)
res+=pi;
else
res+=acos(c);
}
return res<=2*pi;
}
bool cmp(int a,int b){
return a>b;
}
bool check2(ld r){
ld res=0;
int i;
for(i=2;i<=n;i++){
ld c=1-(a[i]*a[i])/(2*r*r);
if(c<=-1)
res+=pi;
else
res+=acos(c);
}
i=1;
ld c=1-(a[i]*a[i])/(2*r*r);
if(c<=-1)
res-=pi;
else
res-=acos(c);
return res>0;
}
int main(){
int i;
ld l=0,r=1e9,mid;
scanf("%d",&n);
for(i=1;i<=n;i++){
scanf("%d",&a[i]);
}
sort(a+1,a+n+1,cmp);
l=a[1]/2;
while(r-l>eps){
mid=(l+r)/2;
if(check(mid))
r=mid;
else
l=mid;
}
if(l>a[1]/2+eps)
ans=l;
l=a[1]/2;r=1e10;
while(r-l>eps){
mid=(l+r)/2;
if(check2(mid))
r=mid;
else
l=mid;
}
if(ans>1e17)
ans=min(ans,l);
printf("%.10Lf",ans);
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3916kb
input:
5 3 1 6 1 7
output:
3.5444043509
result:
ok found '3.5444044', expected '3.5444044', error '0.0000000'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3880kb
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: 0ms
memory: 3864kb
input:
8 2000 3000 4000 2000 3000 4000 2000 3000
output:
3780.9741205994
result:
ok found '3780.9741206', expected '3780.9741206', error '0.0000000'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3760kb
input:
10 602 67 67 67 67 67 67 67 67 67
output:
3003.1398169653
result:
ok found '3003.1398170', expected '3003.1398170', error '0.0000000'
Test #5:
score: 0
Accepted
time: 9ms
memory: 3940kb
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:
490696.1297934515
result:
ok found '490696.1297935', expected '490696.1297935', error '0.0000000'
Test #6:
score: 0
Accepted
time: 9ms
memory: 3936kb
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:
463780.0484799368
result:
ok found '463780.0484799', expected '463780.0484799', error '0.0000000'
Test #7:
score: 0
Accepted
time: 9ms
memory: 3764kb
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:
474979.6236042769
result:
ok found '474979.6236043', expected '474979.6236043', error '0.0000000'
Test #8:
score: 0
Accepted
time: 9ms
memory: 3936kb
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:
462340.8562630481
result:
ok found '462340.8562630', expected '462340.8562630', error '0.0000000'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3792kb
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:
48616.3696322594
result:
ok found '48616.3696323', expected '48616.3696323', error '0.0000000'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3912kb
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:
48970.9394372147
result:
ok found '48970.9394372', expected '48970.9394372', error '0.0000000'
Test #11:
score: 0
Accepted
time: 0ms
memory: 3876kb
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:
47884.1495305231
result:
ok found '47884.1495305', expected '47884.1495305', error '0.0000000'
Test #12:
score: 0
Accepted
time: 1ms
memory: 3792kb
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:
48019.6151650845
result:
ok found '48019.6151651', expected '48019.6151651', error '0.0000000'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3916kb
input:
10 4719 3755 2542 1190 5557 3641 5426 1578 5247 3181
output:
6009.5452529841
result:
ok found '6009.5452530', expected '6009.5452530', error '0.0000000'
Test #14:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
10 2443 973 5013 5104 418 5498 2436 5522 512 1539
output:
4889.4674958879
result:
ok found '4889.4674959', expected '4889.4674959', error '0.0000000'
Test #15:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
10 1854 1474 3499 1575 1422 3130 2402 5948 2378 2670
output:
4340.8661709963
result:
ok found '4340.8661710', expected '4340.8661710', error '0.0000000'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3936kb
input:
10 2343 137 3849 255 2682 1652 1797 4299 3474 4549
output:
4123.0165899213
result:
ok found '4123.0165899', expected '4123.0165899', error '0.0000000'
Test #17:
score: 0
Accepted
time: 3ms
memory: 3860kb
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:
128109.4065169526
result:
ok found '128109.4065170', expected '128109.4065170', error '0.0000000'
Test #18:
score: 0
Accepted
time: 3ms
memory: 3936kb
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:
125432.9881824845
result:
ok found '125432.9881825', expected '125432.9881825', error '0.0000000'
Test #19:
score: 0
Accepted
time: 3ms
memory: 3864kb
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:
116578.9930612490
result:
ok found '116578.9930612', expected '116578.9930612', error '0.0000000'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3868kb
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:
118802.7168437734
result:
ok found '118802.7168438', expected '118802.7168438', error '0.0000000'
Test #21:
score: 0
Accepted
time: 0ms
memory: 3860kb
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: 0ms
memory: 3940kb
input:
3 5104 418 5498
output:
7931.5497917273
result:
ok found '7931.5497917', expected '7931.5497917', error '0.0000000'
Test #23:
score: 0
Accepted
time: 0ms
memory: 3924kb
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: 3760kb
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: 0ms
memory: 3880kb
input:
4 4719 3755 2542 1190
output:
2385.8844828997
result:
ok found '2385.8844829', expected '2385.8844829', error '0.0000000'
Test #26:
score: 0
Accepted
time: 0ms
memory: 3940kb
input:
4 2443 973 5013 5104
output:
2673.3101041853
result:
ok found '2673.3101042', expected '2673.3101042', error '0.0000000'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3764kb
input:
4 1854 1474 3499 1575
output:
1762.7184818062
result:
ok found '1762.7184818', expected '1762.7184818', error '0.0000000'
Test #28:
score: 0
Accepted
time: 0ms
memory: 3792kb
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: 5ms
memory: 3944kb
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:
247805.3748878249
result:
ok found '247805.3748878', expected '247805.3748878', error '0.0000000'
Test #30:
score: 0
Accepted
time: 5ms
memory: 3936kb
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:
236689.3706187816
result:
ok found '236689.3706188', expected '236689.3706188', error '0.0000000'
Test #31:
score: 0
Accepted
time: 5ms
memory: 3932kb
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:
240655.2316999742
result:
ok found '240655.2317000', expected '240655.2317000', error '0.0000000'
Test #32:
score: 0
Accepted
time: 2ms
memory: 3876kb
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:
239234.4590829723
result:
ok found '239234.4590830', expected '239234.4590830', error '0.0000000'
Test #33:
score: 0
Accepted
time: 0ms
memory: 3776kb
input:
5 4719 3755 2542 1190 5557
output:
3171.2598418195
result:
ok found '3171.2598418', expected '3171.2598418', error '0.0000000'
Test #34:
score: 0
Accepted
time: 0ms
memory: 3920kb
input:
5 2443 973 5013 5104 418
output:
2706.4618337440
result:
ok found '2706.4618337', expected '2706.4618337', error '0.0000000'
Test #35:
score: 0
Accepted
time: 0ms
memory: 3860kb
input:
5 1854 1474 3499 1575 1422
output:
1804.0462482495
result:
ok found '1804.0462482', expected '1804.0462482', error '0.0000000'
Test #36:
score: 0
Accepted
time: 0ms
memory: 3940kb
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: 0ms
memory: 3916kb
input:
6 4719 3755 2542 1190 5557 3641
output:
3658.2441848290
result:
ok found '3658.2441848', expected '3658.2441848', error '0.0000000'
Test #38:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
6 2443 973 5013 5104 418 5498
output:
3441.7849447085
result:
ok found '3441.7849447', expected '3441.7849447', error '0.0000000'
Test #39:
score: 0
Accepted
time: 0ms
memory: 3868kb
input:
6 1854 1474 3499 1575 1422 3130
output:
2223.6473305880
result:
ok found '2223.6473306', expected '2223.6473306', error '0.0000000'
Test #40:
score: 0
Accepted
time: 0ms
memory: 3908kb
input:
6 2343 137 3849 255 2682 1652
output:
2013.7523776095
result:
ok found '2013.7523776', expected '2013.7523776', error '0.0000000'
Test #41:
score: 0
Accepted
time: 0ms
memory: 3760kb
input:
7 4719 3755 2542 1190 5557 3641 5426
output:
4485.5673426318
result:
ok found '4485.5673426', expected '4485.5673426', error '0.0000000'
Test #42:
score: 0
Accepted
time: 0ms
memory: 3872kb
input:
7 2443 973 5013 5104 418 5498 2436
output:
3760.1801575695
result:
ok found '3760.1801576', expected '3760.1801576', error '0.0000000'
Test #43:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
7 1854 1474 3499 1575 1422 3130 2402
output:
2569.8384455157
result:
ok found '2569.8384455', expected '2569.8384455', error '0.0000000'
Test #44:
score: 0
Accepted
time: 0ms
memory: 3940kb
input:
7 2343 137 3849 255 2682 1652 1797
output:
2218.9380748987
result:
ok found '2218.9380749', expected '2218.9380749', error '0.0000000'
Test #45:
score: 0
Accepted
time: 0ms
memory: 3756kb
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: 0ms
memory: 3936kb
input:
5 2 2 3 4 4
output:
2.6120840417
result:
ok found '2.6120840', expected '2.6120840', error '0.0000000'
Test #47:
score: 0
Accepted
time: 0ms
memory: 3888kb
input:
4 20 30 40 50
output:
26.1764843578
result:
ok found '26.1764844', expected '26.1764844', error '0.0000000'
Test #48:
score: 0
Accepted
time: 0ms
memory: 3936kb
input:
5 20 50 40 30 60
output:
35.2095745116
result:
ok found '35.2095745', expected '35.2095745', error '0.0000000'
Test #49:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
5 11 12 13 14 15
output:
11.0931616906
result:
ok found '11.0931617', expected '11.0931617', error '0.0000000'
Test #50:
score: 0
Accepted
time: 0ms
memory: 3860kb
input:
8 1 1 1 1 1 1 1 1
output:
1.3065629649
result:
ok found '1.3065630', expected '1.3065630', error '0.0000000'
Test #51:
score: 0
Accepted
time: 0ms
memory: 3920kb
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: 0ms
memory: 3864kb
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: 0ms
memory: 3940kb
input:
3 60 120 130
output:
65.1904800586
result:
ok found '65.1904801', expected '65.1904801', error '0.0000000'
Test #54:
score: 0
Accepted
time: 0ms
memory: 3880kb
input:
4 6000 5801 100 100
output:
29539.4897321215
result:
ok found '29539.4897321', expected '29539.4897321', error '0.0000000'
Test #55:
score: 0
Accepted
time: 0ms
memory: 3876kb
input:
4 6000 1 6000 1
output:
3000.0000416666
result:
ok found '3000.0000417', expected '3000.0000417', error '0.0000000'
Test #56:
score: 0
Accepted
time: 0ms
memory: 3936kb
input:
4 6000 100 6000 200
output:
3000.9374186497
result:
ok found '3000.9374186', expected '3000.9374186', error '0.0000000'
Test #57:
score: -100
Wrong Answer
time: 0ms
memory: 3940kb
input:
4 6000 5999 1 1
output:
10000000000.0000000000
result:
wrong answer 1st numbers differ - expected: '3463.8129761', found: '10000000000.0000000', error = '2886990.8985310'