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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#99770#5377. $N$ 门问题zhouhuanyi60 9ms3804kbC++231.2kb2023-04-23 17:54:092023-04-23 17:54:12

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.
  • [2023-04-23 17:54:12]
  • 评测
  • 测评结果:60
  • 用时:9ms
  • 内存:3804kb
  • [2023-04-23 17:54:09]
  • 提交

answer

#include<iostream>
#include<cstdio>
#include<vector>
#define N 50000
#define eps 1e-7
using namespace std;
long long read()
{
    char c=0;
    long long sum=0;
    while (c<'0'||c>'9') c=getchar();
    while ('0'<=c&&c<='9') sum=sum*10+c-'0',c=getchar();
    return sum;
}
__int128 T,a,b,sx,sy,n;
long double ans;
__int128 gcd(__int128 a,__int128 b)
{
    if (!b) return a;
    return gcd(b,a%b);
}
__int128 lcm(__int128 a,__int128 b)
{
    return a/gcd(a,b)*b;
}
void exgcd(__int128 a,__int128 b)
{
    if (!b)
    {
	sx=1,sy=0;
	return;
    }
    exgcd(b,a%b);
    __int128 tx=sx;
    sx=sy,sy=tx-(a/b)*sy;
    return;
}
int main()
{
    vector<double>v;
    __int128 d=0,p=1,sp,g;
    T=read();
    while (T--)
    {
	a=read(),b=read(),g=gcd(p,b),sp=lcm(p,b);
	if ((a-d)%g!=0)
	{
	    puts("error");
	    return 0;
	}
	exgcd(p,b),sx=((sx*((a-d)/g))%b+b)%b,d=(p*sx+d)%sp,p=sp;
    }
    n=d;
    if (n<2)
    {
	puts("error");
	return 0;
    }
    if (n==2) ans=1.0/2;
    else if (n==3) ans=2.0/3;
    else if (n==4) ans=5.0/8;
    else if (n==5) ans=7.0/15;
    else ans=(long double)(2*n-2)/(long double)(n)/(long double)(n-2);
    printf("%0.6Lf\n",ans);
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 5
Accepted

Test #1:

score: 5
Accepted
time: 2ms
memory: 3728kb

input:

1
2 3

output:

0.500000

result:

ok single line: '0.500000'

Test #2:

score: 0
Accepted
time: 2ms
memory: 3632kb

input:

1
3 5

output:

0.666667

result:

ok single line: '0.666667'

Test #3:

score: 0
Accepted
time: 2ms
memory: 3744kb

input:

1
4 5

output:

0.625000

result:

ok single line: '0.625000'

Test #4:

score: 0
Accepted
time: 2ms
memory: 3440kb

input:

1
0 4

output:

error

result:

ok single line: 'error'

Test #5:

score: 0
Accepted
time: 2ms
memory: 3328kb

input:

1
1 3

output:

error

result:

ok single line: 'error'

Subtask #2:

score: 10
Accepted

Test #6:

score: 10
Accepted
time: 0ms
memory: 3332kb

input:

8
1 160005726539569
1 233
0 1
1 2947295521
1 686719856393
1 54289
1 12649337
1 37281334283719577

output:

error

result:

ok single line: 'error'

Test #7:

score: 0
Accepted
time: 2ms
memory: 3528kb

input:

10
2 64
0 2
2 512
2 4
2 32
2 16
2 256
0 1
2 8
2 128

output:

0.500000

result:

ok single line: '0.500000'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

10
3 256
3 16
0 1
3 8
3 512
3 32
3 4
3 128
3 64
1 2

output:

0.666667

result:

ok single line: '0.666667'

Test #9:

score: 0
Accepted
time: 2ms
memory: 3628kb

input:

10
0 2
4 8
0 4
4 256
0 1
4 512
4 32
4 128
4 64
4 16

output:

0.625000

result:

ok single line: '0.625000'

Test #10:

score: 0
Accepted
time: 2ms
memory: 3528kb

input:

10
5 128
5 32
5 16
1 4
0 1
5 64
5 256
5 512
1 2
5 8

output:

0.466667

result:

ok single line: '0.466667'

Test #11:

score: 0
Accepted
time: 2ms
memory: 3520kb

input:

10
6 32
6 16
6 256
6 64
0 1
6 128
0 2
6 512
6 8
2 4

output:

0.416667

result:

ok single line: '0.416667'

Test #12:

score: 0
Accepted
time: 2ms
memory: 3336kb

input:

2
1000000007 1000000008
2 4

output:

error

result:

ok single line: 'error'

Test #13:

score: 0
Accepted
time: 2ms
memory: 3440kb

input:

3
0 1001
0 241221531
0 2

output:

error

result:

ok single line: 'error'

Test #14:

score: 0
Accepted
time: 2ms
memory: 3740kb

input:

3
6 1001
6 241221531
0 2

output:

0.416667

result:

ok single line: '0.416667'

Subtask #3:

score: 10
Accepted

Dependency #2:

100%
Accepted

Test #15:

score: 10
Accepted
time: 2ms
memory: 3340kb

input:

8
1 160005726539569
1 233
0 1
1 2947295521
1 686719856393
1 54289
1 12649337
1 37281334283719577

output:

error

result:

ok single line: 'error'

Test #16:

score: 0
Accepted
time: 2ms
memory: 3668kb

input:

10
2 64
0 2
2 512
2 4
2 32
2 16
2 256
0 1
2 8
2 128

output:

0.500000

result:

ok single line: '0.500000'

Test #17:

score: 0
Accepted
time: 2ms
memory: 3672kb

input:

10
3 256
3 16
0 1
3 8
3 512
3 32
3 4
3 128
3 64
1 2

output:

0.666667

result:

ok single line: '0.666667'

Test #18:

score: 0
Accepted
time: 2ms
memory: 3744kb

input:

10
0 2
4 8
0 4
4 256
0 1
4 512
4 32
4 128
4 64
4 16

output:

0.625000

result:

ok single line: '0.625000'

Test #19:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

10
5 128
5 32
5 16
1 4
0 1
5 64
5 256
5 512
1 2
5 8

output:

0.466667

result:

ok single line: '0.466667'

Test #20:

score: 0
Accepted
time: 2ms
memory: 3596kb

input:

10
6 32
6 16
6 256
6 64
0 1
6 128
0 2
6 512
6 8
2 4

output:

0.416667

result:

ok single line: '0.416667'

Test #21:

score: 0
Accepted
time: 2ms
memory: 3728kb

input:

10
7 16
7 8
3 4
0 1
7 32
7 256
7 64
1 2
7 512
7 128

output:

0.342857

result:

ok single line: '0.342857'

Test #22:

score: 0
Accepted
time: 2ms
memory: 3744kb

input:

10
8 16
8 64
8 32
0 1
0 8
0 2
8 128
0 4
8 256
8 512

output:

0.291667

result:

ok single line: '0.291667'

Test #23:

score: 0
Accepted
time: 0ms
memory: 3400kb

input:

10
1 2
113 128
0 8
1 16
49 64
17 32
241 256
1 4
241 512
0 1

output:

error

result:

ok single line: 'error'

Test #24:

score: 0
Accepted
time: 2ms
memory: 3372kb

input:

10
5 8
237 512
1 2
13 32
12 16
0 1
109 128
1 4
45 64
237 256

output:

error

result:

ok single line: 'error'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3416kb

input:

10
11 16
43 64
235 512
11 32
3 4
0 1
235 256
0 2
107 128
3 8

output:

error

result:

ok single line: 'error'

Test #26:

score: 0
Accepted
time: 2ms
memory: 3396kb

input:

10
9 32
1 2
41 64
233 512
233 256
1 4
0 1
9 16
1 8
115 128

output:

error

result:

ok single line: 'error'

Subtask #4:

score: 10
Accepted

Dependency #3:

100%
Accepted

Test #27:

score: 10
Accepted
time: 0ms
memory: 3404kb

input:

8
1 5
1 15
1 2
1 30
1 3
0 1
1 6
1 10

output:

error

result:

ok single line: 'error'

Test #28:

score: 0
Accepted
time: 2ms
memory: 3740kb

input:

8
2 30
2 15
0 1
2 6
2 5
2 3
2 10
0 2

output:

0.500000

result:

ok single line: '0.500000'

Test #29:

score: 0
Accepted
time: 0ms
memory: 3336kb

input:

8
0 1
0 3
0 15
0 2
0 30
0 6
0 5
0 10

output:

error

result:

ok single line: 'error'

Test #30:

score: 0
Accepted
time: 2ms
memory: 3520kb

input:

8
1 2
5 30
0 1
0 5
2 3
5 6
5 15
5 10

output:

0.466667

result:

ok single line: '0.466667'

Test #31:

score: 0
Accepted
time: 1ms
memory: 3528kb

input:

8
3 5
0 3
3 15
3 10
0 1
1 2
3 30
3 6

output:

0.666667

result:

ok single line: '0.666667'

Test #32:

score: 0
Accepted
time: 0ms
memory: 3720kb

input:

6
0 3
3 4
1 2
3 6
0 1
3 12

output:

0.666667

result:

ok single line: '0.666667'

Test #33:

score: 0
Accepted
time: 1ms
memory: 3564kb

input:

6
0 1
2 6
0 4
2 3
0 2
8 12

output:

0.291667

result:

ok single line: '0.291667'

Test #34:

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

input:

6
0 1
1 2
2 3
1 4
5 6
5 12

output:

0.466667

result:

ok single line: '0.466667'

Test #35:

score: 0
Accepted
time: 2ms
memory: 3520kb

input:

6
3 12
1 2
0 3
0 1
3 4
3 6

output:

0.666667

result:

ok single line: '0.666667'

Test #36:

score: 0
Accepted
time: 2ms
memory: 3520kb

input:

1
5 6

output:

0.466667

result:

ok single line: '0.466667'

Test #37:

score: 0
Accepted
time: 2ms
memory: 3784kb

input:

1
6 7

output:

0.416667

result:

ok single line: '0.416667'

Test #38:

score: 0
Accepted
time: 2ms
memory: 3520kb

input:

1
7 8

output:

0.342857

result:

ok single line: '0.342857'

Test #39:

score: 0
Accepted
time: 2ms
memory: 3632kb

input:

4
0 2
0 4
2 3
3 5

output:

0.291667

result:

ok single line: '0.291667'

Test #40:

score: 0
Accepted
time: 2ms
memory: 3748kb

input:

4
0 3
0 9
1 2
4 5

output:

0.253968

result:

ok single line: '0.253968'

Test #41:

score: 0
Accepted
time: 2ms
memory: 3628kb

input:

3
0 2
0 5
1 3

output:

0.225000

result:

ok single line: '0.225000'

Test #42:

score: 0
Accepted
time: 0ms
memory: 3412kb

input:

6
0 1
0 2
0 6
0 12
0 4
0 3

output:

error

result:

ok single line: 'error'

Test #43:

score: 0
Accepted
time: 0ms
memory: 3372kb

input:

6
837250 1574381
22682 54289
20 29
81 233
6139 6757
0 1

output:

error

result:

ok single line: 'error'

Test #44:

score: 0
Accepted
time: 2ms
memory: 3408kb

input:

6
12521 54289
1478324 1574381
20 29
171 233
0 1
5298 6757

output:

error

result:

ok single line: 'error'

Test #45:

score: 0
Accepted
time: 0ms
memory: 3368kb

input:

8
9430402 12649337
193 233
12831718919798818 37281334283719577
358403095623 686719856393
31260796633308 160005726539569
0 1
38405 54289
1780337582 2947295521

output:

error

result:

ok single line: 'error'

Test #46:

score: 0
Accepted
time: 2ms
memory: 3656kb

input:

8
0 2
6 30
0 1
1 5
0 3
0 6
6 15
6 10

output:

0.416667

result:

ok single line: '0.416667'

Subtask #5:

score: 0
Wrong Answer

Dependency #1:

100%
Accepted

Dependency #4:

100%
Accepted

Test #47:

score: 5
Accepted
time: 2ms
memory: 3412kb

input:

27216
1100249873 1253754216
25197605440 29192187024
1744207706249 2277822821274
12223300097 26875346784
147492353 275539264
320696949581 377638144884
419900489 699380136
453032 1231659
266587329 890393504
7730812097 11914078176
524332817 661404744
2287601 8261694
1156980833 14524544034
967031297 145...

output:

error

result:

ok single line: 'error'

Test #48:

score: 0
Accepted
time: 9ms
memory: 3396kb

input:

27216
1887302 8343192
98702 115368
3405075396542 142252321079232
3015286 10958948
59487416 481578669
1045054 3865664
72754046 23575685952
370699174 794635556
163774430 446662944
10742784326 36887818968
2588314 130307788
1814817881150 2290728087648
59263478 81513432
105993323864 106600637682
27086905...

output:

error

result:

ok single line: 'error'

Test #49:

score: 0
Accepted
time: 7ms
memory: 3348kb

input:

50000
13191867 17093160
20006787 28265160
531754947 696215520
49540995 227505696
1073316627 1706292720
58569507 194230400
51790622607 214521407100
141120675 500919552
1207143507 1366149400
1382307 4379200
850756707 11479406400
453052323 1743565824
850756707 2203118400
231422833827 322489324080
15091...

output:

error

result:

ok single line: 'error'

Test #50:

score: 0
Accepted
time: 3ms
memory: 3372kb

input:

50000
9122968989 10897286400
1244648539 11099963875
1895367069 2400239520
35685693 52442208
3724120989 59434502400
6070719789 13899085200
8432349 39225120
131925789 306153000
101446557 226417152
2483743030749 3009900358080
13965142941 24139551744
30294839709 75157175808
317618589 535307520
39789 188...

output:

error

result:

ok single line: 'error'

Test #51:

score: -5
Wrong Answer
time: 6ms
memory: 3668kb

input:

50000
194 83566560
194 11970504
194 3351600
194 56073378816
194 157815216
194 2336202000
194 17749670400
194 2299884678
194 2366622720
194 4135131000
194 26409240
194 13248000
194 83847224260800
194 325909584
194 6051302400
194 1944746496
194 146024424000
194 1574773200
194 2472371200
194 2351661312...

output:

0.010363

result:

wrong answer 1st lines differ - expected: '0.000000', found: '0.010363'

Subtask #6:

score: 25
Accepted

Test #57:

score: 25
Accepted
time: 1ms
memory: 3792kb

input:

15
15 17
2 3
5 31
4 5
12 29
38 41
3 11
44 47
16 23
11 19
6 13
3 37
1 2
21 43
5 7

output:

0.000000

result:

ok single line: '0.000000'

Test #58:

score: 0
Accepted
time: 1ms
memory: 3656kb

input:

14
10 16
21 37
0 23
0 5
11 17
1 3
17 29
19 31
33 43
6 13
4 7
16 41
9 19
0 11

output:

0.000000

result:

ok single line: '0.000000'

Test #59:

score: 0
Accepted
time: 2ms
memory: 3672kb

input:

14
7 23
2 16
2 19
9 11
2 5
7 13
2 7
25 41
25 31
3 9
7 43
3 37
8 17
9 29

output:

0.000000

result:

ok single line: '0.000000'

Test #60:

score: 0
Accepted
time: 2ms
memory: 3632kb

input:

14
2 13
14 19
38 43
10 17
3 8
21 29
0 9
4 7
2 5
1 37
2 11
5 23
22 31
10 41

output:

0.000000

result:

ok single line: '0.000000'

Test #61:

score: 0
Accepted
time: 2ms
memory: 3516kb

input:

2
543380932 999999999
451172165 1000000000

output:

0.000000

result:

ok single line: '0.000000'

Test #62:

score: 0
Accepted
time: 2ms
memory: 3596kb

input:

15
1 2
9 13
31 37
1 17
0 23
1 3
2 5
17 31
9 11
5 29
4 47
6 7
40 41
1 19
26 43

output:

0.000000

result:

ok single line: '0.000000'

Test #63:

score: 0
Accepted
time: 6ms
memory: 3804kb

input:

50000
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 ...

output:

0.000000

result:

ok single line: '0.000000'

Test #64:

score: 0
Accepted
time: 6ms
memory: 3592kb

input:

50000
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 ...

output:

0.000000

result:

ok single line: '0.000000'

Test #65:

score: 0
Accepted
time: 6ms
memory: 3300kb

input:

50000
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 ...

output:

error

result:

ok single line: 'error'

Test #66:

score: 0
Accepted
time: 3ms
memory: 3376kb

input:

50000
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 ...

output:

error

result:

ok single line: 'error'

Test #67:

score: 0
Accepted
time: 3ms
memory: 3632kb

input:

50000
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 ...

output:

0.225000

result:

ok single line: '0.225000'

Test #68:

score: 0
Accepted
time: 7ms
memory: 3532kb

input:

50000
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 ...

output:

0.253968

result:

ok single line: '0.253968'

Test #69:

score: 0
Accepted
time: 2ms
memory: 3332kb

input:

3
0 1
1 707185547
1 1000000000

output:

error

result:

ok single line: 'error'

Subtask #7:

score: 0
Skipped

Dependency #1:

100%
Accepted

Dependency #2:

100%
Accepted

Dependency #3:

100%
Accepted

Dependency #4:

100%
Accepted

Dependency #5:

0%