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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#674210#8726. Magic ShowPhysics2123035 0ms1900kbC++171.9kb2024-10-25 14:33:052024-10-25 14:33:06

Judging History

This is the latest submission verdict.

  • [2024-10-25 14:33:06]
  • Judged
  • Verdict: 5
  • Time: 0ms
  • Memory: 1900kb
  • [2024-10-25 14:33:05]
  • Submitted

Alice

#include "Alice.h"
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
const int N=5000;
mt19937 g(time(0)),g2(20090219);
uniform_int_distribution<> u(100,120);
inline vector<int> gen(){
  vector<int> p(N);
  iota(p.begin(),p.end(),0);
  shuffle(p.begin(),p.end(),g2);
  return p;
}
vector<pii> Alice(){
  ll X=setN(N);
  vector<pii> e;
  int B=u(g);
  if(X<=N){
    for(int i=1;i<=N;i++)
      if(X!=i)e.emplace_back(X,i);
    return e;
  }
  for(int i=3001;i<=N;i++)
    e.emplace_back(i,B<<3^(i/60<<2)^(i%60));
  vector<int> v;
  while(X)v.emplace_back(X%B),X/=B;
  for(int i=1501;i<=3000;i++)
    e.emplace_back(i,v.size()<<3^(i/61<<2)^(i%61));
  for(int i=501,c=0;i<=1500;i++,c%=v.size())
    e.emplace_back(i,v[c++]<<1^(i%200)^(i/200));
  for(int i=2;i<=500;i++)
    e.emplace_back(i,g()%(i-1)+1);
  auto p=gen();
  for(auto &[x,y]:e)
    assert(x>=y),x=p[x-1]+1,y=p[y-1]+1;
  shuffle(e.begin(),e.end(),g);
  return e;
}

Bob

#include "Bob.h"
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
const int N=5000;
mt19937 g2(20090219);
inline vector<int> gen(){
  vector<int> p(N),a(N);
  iota(p.begin(),p.end(),0);
  shuffle(p.begin(),p.end(),g2);
  for(int i=0;i<N;i++)
    a[p[i]]=i;
  return a;
}
ll Bob(vector<pii> e){
  int B=-1,E=-1;
  vector<int> X(N+1,-1),C(N+1);
  auto p=gen();
  for(auto &[x,y]:e){
    C[x]++,C[y]++;
    x=p[x-1]+1,y=p[y-1]+1;
    if(x>y)swap(x,y);
    if(y>3000)B=(x^(y%60)^(y/60<<2))>>3;
    else if(y>1500)E=(x^(y%61)^(y/61<<2))>>3;
    else if(y>500)X[y-501]=(x^(y%200)^(y/200))>>1;
  }
  for(int i=1;i<=N;i++)
    if(C[i]==e.size())return i;
  assert(~B&&~E);
  vector<int> v(E);
  for(int i=501;i<=1500;i++)
    if(~X[i-501])v[(i-501)%E]=X[i-501];
  ll c=0,s=1;
  for(int i=0;i<E;i++,s*=B)
    c+=s*v[i];
  return c;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 5
Accepted

Test #1:

score: 5
Accepted
time: 0ms = 0ms + 0ms
memory: 1840kb,1892kb

input:

1
4005

output:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
1
5000
4005 1
4005 2
4005 3
4005 4
4005 5
4005 6
4005 7
4005 8
4005 9
4005 10
4005 11
4005 12
4005 13
4005 14
4005 15
4005 16
4005 17
4005 18
4005 19
4005 20
4005 21
4005 ...

input:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
1
5000
4005 1
4005 2
4005 3
4005 4
4005 5
4005 6
4005 7
4005 8
4005 9
4005 10
4005 11
4005 12
4005 13
4005 14
4005 15
4005 16
4005 17
4005 18
4005 19
4005 20
4005 21
4005 ...

output:

2
5000 2780
1 4005
2 4005
3 4005
4 4005
5 4005
6 4005
7 4005
10 4005
11 4005
12 4005
17 4005
20 4005
23 4005
26 4005
27 4005
30 4005
31 4005
32 4005
33 4005
36 4005
38 4005
39 4005
40 4005
45 4005
46 4005
47 4005
48 4005
49 4005
53 4005
54 4005
56 4005
57 4005
59 4005
60 4005
62 4005
63 4005
72 4005...

input:

2
5000 2780
1 4005
2 4005
3 4005
4 4005
5 4005
6 4005
7 4005
10 4005
11 4005
12 4005
17 4005
20 4005
23 4005
26 4005
27 4005
30 4005
31 4005
32 4005
33 4005
36 4005
38 4005
39 4005
40 4005
45 4005
46 4005
47 4005
48 4005
49 4005
53 4005
54 4005
56 4005
57 4005
59 4005
60 4005
62 4005
63 4005
72 4005...

output:

08e2277017156c65e2df558ef1d27eae814767ea6a771d5be687d4040371b97399dd6bd28d5207cce21e4e205ea711c730f7ccf85a21af8c41bab7c037b89e9e
4005

Test #2:

score: 5
Accepted
time: 0ms = 0ms + 0ms
memory: 1840kb,1892kb

input:

1
459

output:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
1
5000
459 1
459 2
459 3
459 4
459 5
459 6
459 7
459 8
459 9
459 10
459 11
459 12
459 13
459 14
459 15
459 16
459 17
459 18
459 19
459 20
459 21
459 22
459 23
459 24
459 2...

input:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
1
5000
459 1
459 2
459 3
459 4
459 5
459 6
459 7
459 8
459 9
459 10
459 11
459 12
459 13
459 14
459 15
459 16
459 17
459 18
459 19
459 20
459 21
459 22
459 23
459 24
459 2...

output:

2
5000 2780
1 459
2 459
3 459
4 459
5 459
6 459
7 459
10 459
11 459
12 459
17 459
20 459
23 459
26 459
27 459
30 459
31 459
32 459
33 459
36 459
38 459
39 459
40 459
45 459
46 459
47 459
48 459
49 459
53 459
54 459
56 459
57 459
59 459
60 459
62 459
63 459
72 459
73 459
74 459
75 459
78 459
79 459
8...

input:

2
5000 2780
1 459
2 459
3 459
4 459
5 459
6 459
7 459
10 459
11 459
12 459
17 459
20 459
23 459
26 459
27 459
30 459
31 459
32 459
33 459
36 459
38 459
39 459
40 459
45 459
46 459
47 459
48 459
49 459
53 459
54 459
56 459
57 459
59 459
60 459
62 459
63 459
72 459
73 459
74 459
75 459
78 459
79 459
8...

output:

08e2277017156c65e2df558ef1d27eae814767ea6a771d5be687d4040371b97399dd6bd28d5207cce21e4e205ea711c730f7ccf85a21af8c41bab7c037b89e9e
459

Test #3:

score: 5
Accepted
time: 0ms = 0ms + 0ms
memory: 1844kb,1892kb

input:

1
2495

output:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
1
5000
2495 1
2495 2
2495 3
2495 4
2495 5
2495 6
2495 7
2495 8
2495 9
2495 10
2495 11
2495 12
2495 13
2495 14
2495 15
2495 16
2495 17
2495 18
2495 19
2495 20
2495 21
2495 ...

input:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
1
5000
2495 1
2495 2
2495 3
2495 4
2495 5
2495 6
2495 7
2495 8
2495 9
2495 10
2495 11
2495 12
2495 13
2495 14
2495 15
2495 16
2495 17
2495 18
2495 19
2495 20
2495 21
2495 ...

output:

2
5000 2780
1 2495
2 2495
3 2495
4 2495
5 2495
6 2495
7 2495
10 2495
11 2495
12 2495
17 2495
20 2495
23 2495
26 2495
27 2495
30 2495
31 2495
32 2495
33 2495
36 2495
38 2495
39 2495
40 2495
45 2495
46 2495
47 2495
48 2495
49 2495
53 2495
54 2495
56 2495
57 2495
59 2495
60 2495
62 2495
63 2495
72 2495...

input:

2
5000 2780
1 2495
2 2495
3 2495
4 2495
5 2495
6 2495
7 2495
10 2495
11 2495
12 2495
17 2495
20 2495
23 2495
26 2495
27 2495
30 2495
31 2495
32 2495
33 2495
36 2495
38 2495
39 2495
40 2495
45 2495
46 2495
47 2495
48 2495
49 2495
53 2495
54 2495
56 2495
57 2495
59 2495
60 2495
62 2495
63 2495
72 2495...

output:

08e2277017156c65e2df558ef1d27eae814767ea6a771d5be687d4040371b97399dd6bd28d5207cce21e4e205ea711c730f7ccf85a21af8c41bab7c037b89e9e
2495

Test #4:

score: 5
Accepted
time: 0ms = 0ms + 0ms
memory: 1840kb,1896kb

input:

3
1560

output:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
3
5000
1560 1
1560 2
1560 3
1560 4
1560 5
1560 6
1560 7
1560 8
1560 9
1560 10
1560 11
1560 12
1560 13
1560 14
1560 15
1560 16
1560 17
1560 18
1560 19
1560 20
1560 21
1560 ...

input:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
3
5000
1560 1
1560 2
1560 3
1560 4
1560 5
1560 6
1560 7
1560 8
1560 9
1560 10
1560 11
1560 12
1560 13
1560 14
1560 15
1560 16
1560 17
1560 18
1560 19
1560 20
1560 21
1560 ...

output:

4
5000 4997
1 1560
2 1560
3 1560
4 1560
5 1560
6 1560
7 1560
8 1560
9 1560
10 1560
11 1560
12 1560
13 1560
14 1560
15 1560
16 1560
17 1560
18 1560
19 1560
20 1560
21 1560
22 1560
23 1560
24 1560
25 1560
26 1560
27 1560
28 1560
29 1560
30 1560
31 1560
32 1560
33 1560
34 1560
35 1560
36 1560
37 1560
3...

input:

4
5000 4997
1 1560
2 1560
3 1560
4 1560
5 1560
6 1560
7 1560
8 1560
9 1560
10 1560
11 1560
12 1560
13 1560
14 1560
15 1560
16 1560
17 1560
18 1560
19 1560
20 1560
21 1560
22 1560
23 1560
24 1560
25 1560
26 1560
27 1560
28 1560
29 1560
30 1560
31 1560
32 1560
33 1560
34 1560
35 1560
36 1560
37 1560
3...

output:

08e2277017156c65e2df558ef1d27eae814767ea6a771d5be687d4040371b97399dd6bd28d5207cce21e4e205ea711c730f7ccf85a21af8c41bab7c037b89e9e
1560

Test #5:

score: 5
Accepted
time: 0ms = 0ms + 0ms
memory: 1844kb,1896kb

input:

3
3594

output:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
3
5000
3594 1
3594 2
3594 3
3594 4
3594 5
3594 6
3594 7
3594 8
3594 9
3594 10
3594 11
3594 12
3594 13
3594 14
3594 15
3594 16
3594 17
3594 18
3594 19
3594 20
3594 21
3594 ...

input:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
3
5000
3594 1
3594 2
3594 3
3594 4
3594 5
3594 6
3594 7
3594 8
3594 9
3594 10
3594 11
3594 12
3594 13
3594 14
3594 15
3594 16
3594 17
3594 18
3594 19
3594 20
3594 21
3594 ...

output:

4
5000 4997
1 3594
2 3594
3 3594
4 3594
5 3594
6 3594
7 3594
8 3594
9 3594
10 3594
11 3594
12 3594
13 3594
14 3594
15 3594
16 3594
17 3594
18 3594
19 3594
20 3594
21 3594
22 3594
23 3594
24 3594
25 3594
26 3594
27 3594
28 3594
29 3594
30 3594
31 3594
32 3594
33 3594
34 3594
35 3594
36 3594
37 3594
3...

input:

4
5000 4997
1 3594
2 3594
3 3594
4 3594
5 3594
6 3594
7 3594
8 3594
9 3594
10 3594
11 3594
12 3594
13 3594
14 3594
15 3594
16 3594
17 3594
18 3594
19 3594
20 3594
21 3594
22 3594
23 3594
24 3594
25 3594
26 3594
27 3594
28 3594
29 3594
30 3594
31 3594
32 3594
33 3594
34 3594
35 3594
36 3594
37 3594
3...

output:

08e2277017156c65e2df558ef1d27eae814767ea6a771d5be687d4040371b97399dd6bd28d5207cce21e4e205ea711c730f7ccf85a21af8c41bab7c037b89e9e
3594

Test #6:

score: 5
Accepted
time: 0ms = 0ms + 0ms
memory: 1844kb,1896kb

input:

3
1750

output:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
3
5000
1750 1
1750 2
1750 3
1750 4
1750 5
1750 6
1750 7
1750 8
1750 9
1750 10
1750 11
1750 12
1750 13
1750 14
1750 15
1750 16
1750 17
1750 18
1750 19
1750 20
1750 21
1750 ...

input:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
3
5000
1750 1
1750 2
1750 3
1750 4
1750 5
1750 6
1750 7
1750 8
1750 9
1750 10
1750 11
1750 12
1750 13
1750 14
1750 15
1750 16
1750 17
1750 18
1750 19
1750 20
1750 21
1750 ...

output:

4
5000 4997
1 1750
2 1750
3 1750
4 1750
5 1750
6 1750
7 1750
8 1750
9 1750
10 1750
11 1750
12 1750
13 1750
14 1750
15 1750
16 1750
17 1750
18 1750
19 1750
20 1750
21 1750
22 1750
23 1750
24 1750
25 1750
26 1750
27 1750
28 1750
29 1750
30 1750
31 1750
32 1750
33 1750
34 1750
35 1750
36 1750
37 1750
3...

input:

4
5000 4997
1 1750
2 1750
3 1750
4 1750
5 1750
6 1750
7 1750
8 1750
9 1750
10 1750
11 1750
12 1750
13 1750
14 1750
15 1750
16 1750
17 1750
18 1750
19 1750
20 1750
21 1750
22 1750
23 1750
24 1750
25 1750
26 1750
27 1750
28 1750
29 1750
30 1750
31 1750
32 1750
33 1750
34 1750
35 1750
36 1750
37 1750
3...

output:

08e2277017156c65e2df558ef1d27eae814767ea6a771d5be687d4040371b97399dd6bd28d5207cce21e4e205ea711c730f7ccf85a21af8c41bab7c037b89e9e
1750

Test #7:

score: 5
Accepted
time: 0ms = 0ms + 0ms
memory: 1844kb,1892kb

input:

5
4878

output:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
5
5000
4878 1
4878 2
4878 3
4878 4
4878 5
4878 6
4878 7
4878 8
4878 9
4878 10
4878 11
4878 12
4878 13
4878 14
4878 15
4878 16
4878 17
4878 18
4878 19
4878 20
4878 21
4878 ...

input:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
5
5000
4878 1
4878 2
4878 3
4878 4
4878 5
4878 6
4878 7
4878 8
4878 9
4878 10
4878 11
4878 12
4878 13
4878 14
4878 15
4878 16
4878 17
4878 18
4878 19
4878 20
4878 21
4878 ...

output:

6
5000 4998
2 4878
3 4878
4 4878
5 4878
6 4878
7 4878
8 4878
9 4878
10 4878
11 4878
12 4878
13 4878
14 4878
15 4878
16 4878
17 4878
18 4878
19 4878
20 4878
21 4878
22 4878
23 4878
24 4878
25 4878
26 4878
27 4878
28 4878
29 4878
30 4878
31 4878
32 4878
33 4878
34 4878
35 4878
36 4878
37 4878
38 4878
...

input:

6
5000 4998
2 4878
3 4878
4 4878
5 4878
6 4878
7 4878
8 4878
9 4878
10 4878
11 4878
12 4878
13 4878
14 4878
15 4878
16 4878
17 4878
18 4878
19 4878
20 4878
21 4878
22 4878
23 4878
24 4878
25 4878
26 4878
27 4878
28 4878
29 4878
30 4878
31 4878
32 4878
33 4878
34 4878
35 4878
36 4878
37 4878
38 4878
...

output:

08e2277017156c65e2df558ef1d27eae814767ea6a771d5be687d4040371b97399dd6bd28d5207cce21e4e205ea711c730f7ccf85a21af8c41bab7c037b89e9e
4878

Test #8:

score: 5
Accepted
time: 0ms = 0ms + 0ms
memory: 1844kb,1892kb

input:

5
1223

output:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
5
5000
1223 1
1223 2
1223 3
1223 4
1223 5
1223 6
1223 7
1223 8
1223 9
1223 10
1223 11
1223 12
1223 13
1223 14
1223 15
1223 16
1223 17
1223 18
1223 19
1223 20
1223 21
1223 ...

input:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
5
5000
1223 1
1223 2
1223 3
1223 4
1223 5
1223 6
1223 7
1223 8
1223 9
1223 10
1223 11
1223 12
1223 13
1223 14
1223 15
1223 16
1223 17
1223 18
1223 19
1223 20
1223 21
1223 ...

output:

6
5000 4998
2 1223
3 1223
4 1223
5 1223
6 1223
7 1223
8 1223
9 1223
10 1223
11 1223
12 1223
13 1223
14 1223
15 1223
16 1223
17 1223
18 1223
19 1223
20 1223
21 1223
22 1223
23 1223
24 1223
25 1223
26 1223
27 1223
28 1223
29 1223
30 1223
31 1223
32 1223
33 1223
34 1223
35 1223
36 1223
37 1223
38 1223
...

input:

6
5000 4998
2 1223
3 1223
4 1223
5 1223
6 1223
7 1223
8 1223
9 1223
10 1223
11 1223
12 1223
13 1223
14 1223
15 1223
16 1223
17 1223
18 1223
19 1223
20 1223
21 1223
22 1223
23 1223
24 1223
25 1223
26 1223
27 1223
28 1223
29 1223
30 1223
31 1223
32 1223
33 1223
34 1223
35 1223
36 1223
37 1223
38 1223
...

output:

08e2277017156c65e2df558ef1d27eae814767ea6a771d5be687d4040371b97399dd6bd28d5207cce21e4e205ea711c730f7ccf85a21af8c41bab7c037b89e9e
1223

Test #9:

score: 5
Accepted
time: 0ms = 0ms + 0ms
memory: 1840kb,1900kb

input:

5
648

output:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
5
5000
648 1
648 2
648 3
648 4
648 5
648 6
648 7
648 8
648 9
648 10
648 11
648 12
648 13
648 14
648 15
648 16
648 17
648 18
648 19
648 20
648 21
648 22
648 23
648 24
648 2...

input:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
5
5000
648 1
648 2
648 3
648 4
648 5
648 6
648 7
648 8
648 9
648 10
648 11
648 12
648 13
648 14
648 15
648 16
648 17
648 18
648 19
648 20
648 21
648 22
648 23
648 24
648 2...

output:

6
5000 4998
2 648
3 648
4 648
5 648
6 648
7 648
8 648
9 648
10 648
11 648
12 648
13 648
14 648
15 648
16 648
17 648
18 648
19 648
20 648
21 648
22 648
23 648
24 648
25 648
26 648
27 648
28 648
29 648
30 648
31 648
32 648
33 648
34 648
35 648
36 648
37 648
38 648
39 648
40 648
41 648
42 648
43 648
44...

input:

6
5000 4998
2 648
3 648
4 648
5 648
6 648
7 648
8 648
9 648
10 648
11 648
12 648
13 648
14 648
15 648
16 648
17 648
18 648
19 648
20 648
21 648
22 648
23 648
24 648
25 648
26 648
27 648
28 648
29 648
30 648
31 648
32 648
33 648
34 648
35 648
36 648
37 648
38 648
39 648
40 648
41 648
42 648
43 648
44...

output:

08e2277017156c65e2df558ef1d27eae814767ea6a771d5be687d4040371b97399dd6bd28d5207cce21e4e205ea711c730f7ccf85a21af8c41bab7c037b89e9e
648

Test #10:

score: 5
Accepted
time: 0ms = 0ms + 0ms
memory: 1844kb,1884kb

input:

7
4475

output:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
7
5000
4475 1
4475 2
4475 3
4475 4
4475 5
4475 6
4475 7
4475 8
4475 9
4475 10
4475 11
4475 12
4475 13
4475 14
4475 15
4475 16
4475 17
4475 18
4475 19
4475 20
4475 21
4475 ...

input:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
7
5000
4475 1
4475 2
4475 3
4475 4
4475 5
4475 6
4475 7
4475 8
4475 9
4475 10
4475 11
4475 12
4475 13
4475 14
4475 15
4475 16
4475 17
4475 18
4475 19
4475 20
4475 21
4475 ...

output:

8
5000 2500
2 4475
4 4475
5 4475
6 4475
8 4475
9 4475
12 4475
15 4475
19 4475
20 4475
23 4475
25 4475
27 4475
28 4475
29 4475
32 4475
33 4475
35 4475
36 4475
37 4475
38 4475
40 4475
42 4475
44 4475
45 4475
47 4475
49 4475
50 4475
51 4475
55 4475
56 4475
57 4475
58 4475
59 4475
60 4475
62 4475
63 447...

input:

8
5000 2500
2 4475
4 4475
5 4475
6 4475
8 4475
9 4475
12 4475
15 4475
19 4475
20 4475
23 4475
25 4475
27 4475
28 4475
29 4475
32 4475
33 4475
35 4475
36 4475
37 4475
38 4475
40 4475
42 4475
44 4475
45 4475
47 4475
49 4475
50 4475
51 4475
55 4475
56 4475
57 4475
58 4475
59 4475
60 4475
62 4475
63 447...

output:

08e2277017156c65e2df558ef1d27eae814767ea6a771d5be687d4040371b97399dd6bd28d5207cce21e4e205ea711c730f7ccf85a21af8c41bab7c037b89e9e
4475

Test #11:

score: 5
Accepted
time: 0ms = 0ms + 0ms
memory: 1840kb,1892kb

input:

7
4240

output:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
7
5000
4240 1
4240 2
4240 3
4240 4
4240 5
4240 6
4240 7
4240 8
4240 9
4240 10
4240 11
4240 12
4240 13
4240 14
4240 15
4240 16
4240 17
4240 18
4240 19
4240 20
4240 21
4240 ...

input:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
7
5000
4240 1
4240 2
4240 3
4240 4
4240 5
4240 6
4240 7
4240 8
4240 9
4240 10
4240 11
4240 12
4240 13
4240 14
4240 15
4240 16
4240 17
4240 18
4240 19
4240 20
4240 21
4240 ...

output:

8
5000 2500
2 4240
4 4240
5 4240
6 4240
8 4240
9 4240
12 4240
15 4240
19 4240
20 4240
23 4240
25 4240
27 4240
28 4240
29 4240
32 4240
33 4240
35 4240
36 4240
37 4240
38 4240
40 4240
42 4240
44 4240
45 4240
47 4240
49 4240
50 4240
51 4240
55 4240
56 4240
57 4240
58 4240
59 4240
60 4240
62 4240
63 424...

input:

8
5000 2500
2 4240
4 4240
5 4240
6 4240
8 4240
9 4240
12 4240
15 4240
19 4240
20 4240
23 4240
25 4240
27 4240
28 4240
29 4240
32 4240
33 4240
35 4240
36 4240
37 4240
38 4240
40 4240
42 4240
44 4240
45 4240
47 4240
49 4240
50 4240
51 4240
55 4240
56 4240
57 4240
58 4240
59 4240
60 4240
62 4240
63 424...

output:

08e2277017156c65e2df558ef1d27eae814767ea6a771d5be687d4040371b97399dd6bd28d5207cce21e4e205ea711c730f7ccf85a21af8c41bab7c037b89e9e
4240

Test #12:

score: 5
Accepted
time: 0ms = 0ms + 0ms
memory: 1844kb,1888kb

input:

7
1291

output:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
7
5000
1291 1
1291 2
1291 3
1291 4
1291 5
1291 6
1291 7
1291 8
1291 9
1291 10
1291 11
1291 12
1291 13
1291 14
1291 15
1291 16
1291 17
1291 18
1291 19
1291 20
1291 21
1291 ...

input:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
7
5000
1291 1
1291 2
1291 3
1291 4
1291 5
1291 6
1291 7
1291 8
1291 9
1291 10
1291 11
1291 12
1291 13
1291 14
1291 15
1291 16
1291 17
1291 18
1291 19
1291 20
1291 21
1291 ...

output:

8
5000 2500
2 1291
4 1291
5 1291
6 1291
8 1291
9 1291
12 1291
15 1291
19 1291
20 1291
23 1291
25 1291
27 1291
28 1291
29 1291
32 1291
33 1291
35 1291
36 1291
37 1291
38 1291
40 1291
42 1291
44 1291
45 1291
47 1291
49 1291
50 1291
51 1291
55 1291
56 1291
57 1291
58 1291
59 1291
60 1291
62 1291
63 129...

input:

8
5000 2500
2 1291
4 1291
5 1291
6 1291
8 1291
9 1291
12 1291
15 1291
19 1291
20 1291
23 1291
25 1291
27 1291
28 1291
29 1291
32 1291
33 1291
35 1291
36 1291
37 1291
38 1291
40 1291
42 1291
44 1291
45 1291
47 1291
49 1291
50 1291
51 1291
55 1291
56 1291
57 1291
58 1291
59 1291
60 1291
62 1291
63 129...

output:

08e2277017156c65e2df558ef1d27eae814767ea6a771d5be687d4040371b97399dd6bd28d5207cce21e4e205ea711c730f7ccf85a21af8c41bab7c037b89e9e
1291

Subtask #2:

score: 0
Wrong Answer

Test #13:

score: 30
Accepted
time: 0ms = 0ms + 0ms
memory: 1840kb,1892kb

input:

1
17476204

output:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
1
5000
1176 1456
4067 4279
1855 1090
912 117
4303 3352
713 1477
4754 4497
2305 4499
3645 4278
1509 788
913 1685
674 1397
1841 4895
4083 2760
1722 4870
2614 1119
3094 4989
...

input:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
1
5000
1176 1456
4067 4279
1855 1090
912 117
4303 3352
713 1477
4754 4497
2305 4499
3645 4278
1509 788
913 1685
674 1397
1841 4895
4083 2760
1722 4870
2614 1119
3094 4989
...

output:

2
5000 2780
1 849
4 2160
7 1494
10 288
12 3263
13 2802
14 3071
15 3320
16 776
16 1984
16 2694
16 3019
16 3178
16 3240
16 3589
16 3967
16 4435
16 4583
18 4462
19 4019
21 2723
24 2017
25 1976
27 4102
28 1152
29 2047
30 2239
32 4667
34 4497
35 1232
37 1311
39 1568
41 4753
42 98
44 610
45 114
45 450
45 ...

input:

2
5000 2780
1 849
4 2160
7 1494
10 288
12 3263
13 2802
14 3071
15 3320
16 776
16 1984
16 2694
16 3019
16 3178
16 3240
16 3589
16 3967
16 4435
16 4583
18 4462
19 4019
21 2723
24 2017
25 1976
27 4102
28 1152
29 2047
30 2239
32 4667
34 4497
35 1232
37 1311
39 1568
41 4753
42 98
44 610
45 114
45 450
45 ...

output:

08e2277017156c65e2df558ef1d27eae814767ea6a771d5be687d4040371b97399dd6bd28d5207cce21e4e205ea711c730f7ccf85a21af8c41bab7c037b89e9e
17476204

Test #14:

score: 30
Accepted
time: 0ms = 0ms + 0ms
memory: 1844kb,1896kb

input:

1
11926600

output:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
1
5000
1176 1456
4067 4279
1855 4439
912 117
4303 3352
713 1477
4754 4497
2305 4499
3645 4278
1509 788
913 1685
674 1397
1841 4895
4083 1176
1722 4870
2614 1119
3094 4989
...

input:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
1
5000
1176 1456
4067 4279
1855 4439
912 117
4303 3352
713 1477
4754 4497
2305 4499
3645 4278
1509 788
913 1685
674 1397
1841 4895
4083 1176
1722 4870
2614 1119
3094 4989
...

output:

2
5000 2780
1 2784
1 4072
4 2160
7 3892
10 288
12 3263
13 399
14 3071
15 3320
16 776
16 1984
16 2694
16 3019
16 3178
16 3240
16 3589
16 3967
16 4435
16 4583
18 4581
19 4019
21 2723
24 2017
25 1976
27 4102
28 1152
29 2047
30 2239
32 4667
34 4497
35 1232
37 1311
39 1568
41 4753
42 98
44 610
45 114
45 ...

input:

2
5000 2780
1 2784
1 4072
4 2160
7 3892
10 288
12 3263
13 399
14 3071
15 3320
16 776
16 1984
16 2694
16 3019
16 3178
16 3240
16 3589
16 3967
16 4435
16 4583
18 4581
19 4019
21 2723
24 2017
25 1976
27 4102
28 1152
29 2047
30 2239
32 4667
34 4497
35 1232
37 1311
39 1568
41 4753
42 98
44 610
45 114
45 ...

output:

08e2277017156c65e2df558ef1d27eae814767ea6a771d5be687d4040371b97399dd6bd28d5207cce21e4e205ea711c730f7ccf85a21af8c41bab7c037b89e9e
11926600

Test #15:

score: 30
Accepted
time: 0ms = 0ms + 0ms
memory: 1844kb,1892kb

input:

1
16602378

output:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
1
5000
1176 1456
4067 4279
1855 1234
912 117
4303 3352
713 1477
4754 4497
2305 4499
3645 4278
1509 788
913 1685
674 1397
1841 4895
4083 2017
1722 4870
2614 1119
3094 4989
...

input:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
1
5000
1176 1456
4067 4279
1855 1234
912 117
4303 3352
713 1477
4754 4497
2305 4499
3645 4278
1509 788
913 1685
674 1397
1841 4895
4083 2017
1722 4870
2614 1119
3094 4989
...

output:

2
5000 2780
1 863
1 2159
4 2160
7 1737
10 288
12 3263
13 4373
14 3071
15 3320
16 776
16 1984
16 2694
16 3019
16 3178
16 3240
16 3589
16 3967
16 4435
16 4583
18 4685
19 4019
21 2723
24 2017
25 1976
27 4102
28 1152
29 2047
30 2239
32 4667
34 4497
35 1232
37 1311
39 1568
41 4753
42 98
44 610
45 114
45 ...

input:

2
5000 2780
1 863
1 2159
4 2160
7 1737
10 288
12 3263
13 4373
14 3071
15 3320
16 776
16 1984
16 2694
16 3019
16 3178
16 3240
16 3589
16 3967
16 4435
16 4583
18 4685
19 4019
21 2723
24 2017
25 1976
27 4102
28 1152
29 2047
30 2239
32 4667
34 4497
35 1232
37 1311
39 1568
41 4753
42 98
44 610
45 114
45 ...

output:

08e2277017156c65e2df558ef1d27eae814767ea6a771d5be687d4040371b97399dd6bd28d5207cce21e4e205ea711c730f7ccf85a21af8c41bab7c037b89e9e
16602378

Test #16:

score: 0
Wrong Answer
time: 0ms = 0ms + 0ms
memory: 1848kb,1772kb

input:

3
13129243

output:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
3
5000
1176 1456
4067 4279
1855 3308
912 117
4303 3352
713 1477
4754 4497
2305 4499
3645 4278
1509 788
913 1685
674 1397
1841 4895
4083 260
1722 4870
2614 1119
3094 4989
1...

input:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
3
5000
1176 1456
4067 4279
1855 3308
912 117
4303 3352
713 1477
4754 4497
2305 4499
3645 4278
1509 788
913 1685
674 1397
1841 4895
4083 260
1722 4870
2614 1119
3094 4989
1...

output:

9ff923928e5675d6f7ae686fcfb20beac84bc7b1a47cf13bde24b59497bcae3b4900097049e1c568aa409defdbadf4cfc599c0e496e22068170cce547295ffa4
Output of encode is not a tree.

input:

9ff923928e5675d6f7ae686fcfb20beac84bc7b1a47cf13bde24b59497bcae3b4900097049e1c568aa409defdbadf4cfc599c0e496e22068170cce547295ffa4
Output of encode is not a tree.

output:

9ff923928e5675d6f7ae686fcfb20beac84bc7b1a47cf13bde24b59497bcae3b4900097049e1c568aa409defdbadf4cfc599c0e496e22068170cce547295ffa4
Output of encode is not a tree.

Subtask #3:

score: 0
Wrong Answer

Test #25:

score: 0
Wrong Answer
time: 0ms = 0ms + 0ms
memory: 1844kb,1888kb

input:

1
355365355024496523

output:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
1
5000
1176 1456
4067 450
1855 1456
912 2504
4303 4317
713 1477
4754 4497
2305 4499
3645 4278
1509 788
913 1685
674 4937
1841 4895
4083 1651
1722 1095
2614 1652
3094 2482
...

input:

a890c6696058af3ad84e267191c856938f206a8ef7c63581510cdfa15e45f9c07d82b6a58fe3c8183e2b8f4b976dd90fbca50f420ce3dcf29a3d6a73adf47022
1
5000
1176 1456
4067 450
1855 1456
912 2504
4303 4317
713 1477
4754 4497
2305 4499
3645 4278
1509 788
913 1685
674 4937
1841 4895
4083 1651
1722 1095
2614 1652
3094 2482
...

output:

2
5000 2780
1 215
1 555
1 653
1 1236
1 3098
1 3922
1 4387
4 4108
7 1503
10 288
12 3263
13 1713
14 3071
15 4418
16 776
16 1984
16 2694
16 3019
16 3178
16 3240
16 3589
16 3967
16 4435
16 4583
18 4080
19 4408
21 2723
24 775
25 1976
27 838
28 2620
29 4871
30 4992
32 2630
34 4625
35 1232
37 1311
39 1568
...

input:

2
5000 2780
1 215
1 555
1 653
1 1236
1 3098
1 3922
1 4387
4 4108
7 1503
10 288
12 3263
13 1713
14 3071
15 4418
16 776
16 1984
16 2694
16 3019
16 3178
16 3240
16 3589
16 3967
16 4435
16 4583
18 4080
19 4408
21 2723
24 775
25 1976
27 838
28 2620
29 4871
30 4992
32 2630
34 4625
35 1232
37 1311
39 1568
...

output:

08e2277017156c65e2df558ef1d27eae814767ea6a771d5be687d4040371b97399dd6bd28d5207cce21e4e205ea711c730f7ccf85a21af8c41bab7c037b89e9e
355365355028297355