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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#884428#499. 树 HashzsofustbAC ✓833ms10624kbC++232.4kb2025-02-06 06:45:102025-02-06 06:45:10

Judging History

This is the latest submission verdict.

  • [2025-02-06 06:45:10]
  • Judged
  • Verdict: AC
  • Time: 833ms
  • Memory: 10624kb
  • [2025-02-06 06:45:10]
  • Submitted

answer

#include <bits/stdc++.h>

using u32 = unsigned;
using i64 = long long;
using u64 = unsigned long long;

struct hash_t {
    static constexpr int P1 = 1e9 + 7, P2 = 1e9 + 9;
    int v1, v2;

    hash_t() : v1{}, v2{} {}

    hash_t(int v) : v1{v}, v2{v} {}

    constexpr hash_t(int _v1, int _v2) : v1{998244353}, v2{_v2} {}

    hash_t &operator+=(const hash_t &o) {
        v1 += o.v1;
        if (v1 >= P1) v1 -= P1;
        v2 += o.v2;
        if (v2 >= P2) v2 -= P2;
        return *this;
    }

    hash_t &operator-=(const hash_t &o) {
        v1 -= o.v1;
        if (v1 < 0) v1 += P1;
        v2 -= o.v2;
        if (v2 < 0) v2 += P2;
        return *this;
    }

    hash_t &operator*=(const hash_t &o) {
        v1 = (i64) v1 * o.v1 % P1;
        v2 = (i64) v2 * o.v2 % P2;
        return *this;
    }
};

hash_t operator+(hash_t x, const hash_t &y) { return x += y; }

hash_t operator-(hash_t x, const hash_t &y) { return x -= y; }

hash_t operator*(hash_t x, const hash_t &y) { return x *= y; }

bool operator==(const hash_t &x, const hash_t &y) {
    return x.v1 == y.v1 && x.v2 == y.v2;
}

bool operator<(const hash_t &x, const hash_t &y) {
    return x.v1 < y.v1 || (x.v1 == y.v1 && x.v2 < y.v2);
}

constexpr hash_t BASE = {998244353, 998244853};

struct hstring {
    hash_t val, pw;

    hstring &operator+=(const hstring &o) {
        val = val * o.pw + o.val;
        pw *= o.pw;
        return *this;
    }
};

bool operator<(const hstring &x, const hstring &y) {
    return x.val < y.val || (x.val == y.val && x.pw < y.pw);
}

constexpr int N = 1e5 + 10;
int n;
std::vector<int> g[N];

hstring dfs(int u, int pre) {
    std::vector<hstring> vec;
    for (auto v: g[u])
        if (v != pre) vec.emplace_back(dfs(v, u));
    sort(vec.begin(), vec.end());
    hstring ret = {19260817, BASE};
    for (auto &i: vec) ret += i;
    ret += hstring{19491001, BASE};
    return ret;
}

hash_t solve() {
    for (int i = 1; i <= n; ++i) g[i].clear();
    for (int i = 1, u, v; i < n; ++i) {
        std::cin >> u >> v;
        g[u].emplace_back(v);
        g[v].emplace_back(u);
    }
    return dfs(1, 0).val;
}

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr), std::cout.tie(nullptr);

    int T = 1;
    std::cin >> T;
    while (T--) {
    	std::cin >> n;
        std::cout << (solve() == solve() ? "Isomorphism" : "No") << "\n";
    }

    return 0;
}


Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 92ms
memory: 3712kb

input:

100000
2
2 1
2 1
7
2 1
3 2
4 1
5 1
6 3
7 1
2 1
3 1
4 2
5 1
6 5
7 6
8
2 1
3 2
4 3
5 1
6 4
7 5
8 1
2 1
3 1
4 3
5 3
6 3
7 1
8 1
5
2 1
3 2
4 2
5 3
2 1
3 2
4 2
5 4
6
2 1
3 2
4 3
5 3
6 1
2 1
3 1
4 1
5 2
6 5
4
2 1
3 1
4 3
2 1
3 2
4 2
6
2 1
3 2
4 2
5 4
6 2
2 1
3 2
4 1
5 2
6 2
2
2 1
2 1
5
2 1
3 1
4 2
5 4
2 1...

output:

Isomorphism
No
No
Isomorphism
No
No
No
Isomorphism
No
No
No
No
Isomorphism
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
Isomorphism
Isomorphism
Isomorphism
No
No
No
No
Isomorphism
Isomorphism
Isomorphism
No
No
Isomorphism
Isomorphism
No
No
No
No
Isomorphism
No
Isomorphism
Isomorphism
...

result:

ok 100000 tokens

Test #2:

score: 0
Accepted
time: 147ms
memory: 3584kb

input:

100000
12
2 1
3 1
4 1
5 2
6 3
7 3
8 6
9 8
10 2
11 10
12 3
2 1
3 2
4 2
5 2
6 3
7 5
8 7
9 5
10 3
11 2
12 4
7
2 1
3 2
4 1
5 3
6 4
7 2
2 1
3 1
4 2
5 3
6 1
7 5
11
2 1
3 2
4 1
5 4
6 4
7 1
8 3
9 2
10 7
11 2
2 1
3 2
4 1
5 1
6 3
7 2
8 6
9 2
10 6
11 10
12
2 1
3 1
4 1
5 3
6 1
7 5
8 2
9 4
10 1
11 7
12 10
2 1
3 ...

output:

No
No
No
No
Isomorphism
No
Isomorphism
Isomorphism
No
No
No
No
No
No
Isomorphism
Isomorphism
No
No
No
No
No
Isomorphism
Isomorphism
No
No
No
No
No
No
No
Isomorphism
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
Isomorphism
No
Isomorphi...

result:

ok 100000 tokens

Test #3:

score: 0
Accepted
time: 149ms
memory: 3712kb

input:

100000
12
2 1
3 2
4 3
5 4
6 2
7 1
8 5
9 3
10 4
11 5
12 2
2 1
3 2
4 3
5 1
6 4
7 4
8 4
9 6
10 1
11 1
12 8
9
2 1
3 2
4 3
5 4
6 4
7 5
8 2
9 3
2 1
3 1
4 1
5 3
6 4
7 6
8 2
9 6
6
2 1
3 1
4 1
5 2
6 4
2 1
3 1
4 2
5 1
6 3
6
2 1
3 2
4 1
5 1
6 1
2 1
3 2
4 3
5 4
6 2
15
2 1
3 2
4 3
5 1
6 1
7 4
8 6
9 2
10 3
11 6
1...

output:

No
No
Isomorphism
No
No
Isomorphism
No
No
No
No
No
Isomorphism
Isomorphism
No
No
No
Isomorphism
Isomorphism
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
Isomorphism
No
Isomorphism
No
No
Isomorphism
No
Isomorphism
No
No
No
No
Isomorphism
No
No
No
No
Isomorphism
No
Isomorphism
Isomorphism
Isomorphi...

result:

ok 100000 tokens

Test #4:

score: 0
Accepted
time: 166ms
memory: 3712kb

input:

90000
11
2 1
3 2
4 3
5 3
6 3
7 6
8 5
9 4
10 8
11 1
2 1
3 1
4 1
5 1
6 2
7 6
8 3
9 5
10 7
11 10
7
2 1
3 2
4 2
5 3
6 3
7 1
2 1
3 1
4 1
5 3
6 2
7 6
9
2 1
3 2
4 3
5 4
6 3
7 3
8 3
9 8
2 1
3 1
4 3
5 1
6 1
7 6
8 1
9 2
7
2 1
3 1
4 1
5 4
6 1
7 4
2 1
3 1
4 3
5 3
6 2
7 6
11
2 1
3 1
4 2
5 1
6 2
7 1
8 4
9 2
10 7
...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
Isomorphism
No
No
No
No
...

result:

ok 90000 tokens

Test #5:

score: 0
Accepted
time: 165ms
memory: 3584kb

input:

90000
6
2 1
3 2
4 1
5 3
6 4
2 1
3 1
4 3
5 3
6 3
12
2 1
3 1
4 1
5 1
6 1
7 1
8 1
9 5
10 8
11 1
12 7
2 1
3 2
4 1
5 2
6 5
7 4
8 3
9 1
10 3
11 4
12 6
15
2 1
3 2
4 1
5 1
6 1
7 3
8 7
9 5
10 6
11 10
12 4
13 8
14 6
15 9
2 1
3 2
4 1
5 2
6 4
7 1
8 6
9 6
10 7
11 9
12 4
13 9
14 8
15 7
6
2 1
3 1
4 2
5 4
6 2
2 1
3...

output:

No
No
No
Isomorphism
No
No
Isomorphism
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
...

result:

ok 90000 tokens

Test #6:

score: 0
Accepted
time: 165ms
memory: 3712kb

input:

80000
9
2 1
3 1
4 2
5 4
6 2
7 6
8 3
9 1
2 1
3 2
4 2
5 1
6 1
7 2
8 5
9 3
14
2 1
3 2
4 3
5 3
6 3
7 4
8 1
9 4
10 4
11 8
12 4
13 6
14 8
2 1
3 2
4 1
5 1
6 4
7 6
8 4
9 4
10 6
11 1
12 1
13 4
14 7
11
2 1
3 1
4 1
5 4
6 4
7 1
8 7
9 8
10 2
11 9
2 1
3 2
4 1
5 4
6 4
7 2
8 4
9 8
10 8
11 8
11
2 1
3 2
4 3
5 2
6 4
7...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
...

result:

ok 80000 tokens

Test #7:

score: 0
Accepted
time: 166ms
memory: 3712kb

input:

80000
6
2 1
3 2
4 2
5 3
6 4
2 1
3 2
4 3
5 3
6 3
15
2 1
3 1
4 3
5 1
6 5
7 3
8 1
9 3
10 7
11 9
12 4
13 2
14 11
15 14
2 1
3 2
4 1
5 1
6 4
7 6
8 1
9 2
10 1
11 10
12 2
13 7
14 5
15 13
7
2 1
3 1
4 3
5 2
6 5
7 2
2 1
3 2
4 2
5 3
6 4
7 3
12
2 1
3 1
4 3
5 2
6 1
7 3
8 7
9 7
10 5
11 7
12 2
2 1
3 1
4 3
5 2
6 5
7...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
...

result:

ok 80000 tokens

Test #8:

score: 0
Accepted
time: 163ms
memory: 3584kb

input:

80000
7
2 1
3 2
4 3
5 1
6 2
7 1
2 1
3 1
4 3
5 2
6 2
7 4
6
2 1
3 2
4 1
5 3
6 3
2 1
3 1
4 3
5 2
6 5
14
2 1
3 2
4 3
5 1
6 1
7 6
8 3
9 3
10 8
11 6
12 9
13 10
14 3
2 1
3 2
4 3
5 3
6 1
7 5
8 7
9 6
10 9
11 5
12 9
13 5
14 7
8
2 1
3 1
4 2
5 2
6 3
7 6
8 3
2 1
3 1
4 3
5 1
6 2
7 4
8 5
12
2 1
3 2
4 3
5 1
6 1
7 6...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
...

result:

ok 80000 tokens

Test #9:

score: 0
Accepted
time: 214ms
memory: 3712kb

input:

50000
23
2 1
3 1
4 2
5 2
6 2
7 2
8 2
9 8
10 6
11 9
12 7
13 5
14 10
15 4
16 2
17 14
18 16
19 4
20 16
21 5
22 3
23 19
2 1
3 2
4 2
5 4
6 2
7 2
8 6
9 4
10 2
11 10
12 11
13 4
14 2
15 9
16 14
17 16
18 3
19 15
20 9
21 18
22 20
23 14
19
2 1
3 1
4 2
5 1
6 4
7 1
8 3
9 6
10 4
11 10
12 11
13 2
14 8
15 10
16 4
1...

output:

No
Isomorphism
No
No
No
No
No
Isomorphism
No
No
No
No
Isomorphism
Isomorphism
Isomorphism
Isomorphism
No
No
No
Isomorphism
Isomorphism
Isomorphism
No
Isomorphism
No
No
No
No
No
No
Isomorphism
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
...

result:

ok 50000 tokens

Test #10:

score: 0
Accepted
time: 193ms
memory: 3584kb

input:

50000
23
2 1
3 2
4 1
5 3
6 4
7 1
8 1
9 2
10 2
11 5
12 5
13 9
14 6
15 7
16 9
17 8
18 14
19 14
20 5
21 17
22 18
23 13
10 1
3 10
14 1
4 3
21 14
12 1
8 1
11 10
15 10
17 4
16 4
9 11
7 21
22 12
5 11
23 8
19 7
13 7
18 4
6 23
2 19
20 9
17
2 1
3 1
4 1
5 4
6 3
7 6
8 4
9 6
10 2
11 8
12 5
13 11
14 3
15 5
16 9
1...

output:

Isomorphism
No
No
No
No
No
No
No
No
No
Isomorphism
Isomorphism
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
Isomorphism
No
Isomorphism
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
Isomorphism
No
No
No
No
Isomorphism
No
Isomorphism
No
Isomorphism
Isomorphism
...

result:

ok 50000 tokens

Test #11:

score: 0
Accepted
time: 192ms
memory: 3712kb

input:

50000
18
2 1
3 2
4 3
5 3
6 5
7 6
8 1
9 3
10 1
11 10
12 1
13 11
14 13
15 7
16 14
17 4
18 15
13 1
12 13
18 12
3 12
2 3
4 2
14 1
5 12
7 1
10 7
11 1
8 10
15 8
6 4
16 15
9 18
17 6
23
2 1
3 1
4 1
5 3
6 3
7 3
8 2
9 1
10 7
11 7
12 1
13 7
14 3
15 3
16 13
17 15
18 2
19 8
20 4
21 5
22 5
23 5
12 1
11 1
22 1
6 1...

output:

Isomorphism
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
Isomorphism
No
No
Isomorphism
No
No
No
No
No
No
No
...

result:

ok 50000 tokens

Test #12:

score: 0
Accepted
time: 183ms
memory: 3712kb

input:

30000
32
2 1
3 1
4 2
5 1
6 2
7 6
8 7
9 3
10 7
11 5
12 9
13 5
14 4
15 14
16 11
17 1
18 7
19 15
20 9
21 16
22 1
23 1
24 20
25 16
26 22
27 8
28 13
29 6
30 26
31 6
32 30
2 1
3 1
4 1
5 2
6 2
7 6
8 7
9 2
10 6
11 3
12 4
13 12
14 13
15 11
16 14
17 2
18 2
19 5
20 2
21 18
22 16
23 20
24 23
25 16
26 2
27 25
28...

output:

No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
Isomorphism
No
No
Isomorphism
Isomorphism
No
...

result:

ok 30000 tokens

Test #13:

score: 0
Accepted
time: 181ms
memory: 3712kb

input:

30000
26
2 1
3 2
4 2
5 2
6 1
7 1
8 7
9 6
10 5
11 9
12 9
13 12
14 4
15 4
16 9
17 12
18 16
19 8
20 3
21 1
22 18
23 12
24 8
25 3
26 7
2 1
3 1
4 3
5 2
6 4
7 1
8 2
9 7
10 8
11 10
12 3
13 4
14 6
15 10
16 6
17 4
18 4
19 7
20 8
21 19
22 13
23 19
24 18
25 13
26 25
34
2 1
3 1
4 3
5 3
6 5
7 4
8 3
9 8
10 9
11 9...

output:

No
No
Isomorphism
No
No
No
No
Isomorphism
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
Isomorphism
No
No
Isomorphism
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
Isomorphism
Isomorphism
No
No
No
No
No
No
No
No
No
...

result:

ok 30000 tokens

Test #14:

score: 0
Accepted
time: 189ms
memory: 3584kb

input:

30000
26
2 1
3 1
4 1
5 1
6 5
7 1
8 4
9 3
10 5
11 5
12 6
13 8
14 13
15 2
16 14
17 4
18 10
19 18
20 18
21 12
22 8
23 5
24 18
25 5
26 10
2 1
3 2
4 1
5 2
6 4
7 2
8 1
9 8
10 4
11 6
12 6
13 7
14 5
15 12
16 5
17 3
18 14
19 15
20 1
21 12
22 7
23 10
24 23
25 16
26 21
34
2 1
3 2
4 2
5 2
6 3
7 1
8 1
9 3
10 8
1...

output:

No
No
No
No
No
No
Isomorphism
No
Isomorphism
No
No
No
No
No
Isomorphism
No
Isomorphism
No
No
No
No
No
No
No
Isomorphism
Isomorphism
Isomorphism
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
Isomorphism
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
Isomorphism
No
...

result:

ok 30000 tokens

Test #15:

score: 0
Accepted
time: 189ms
memory: 3712kb

input:

30000
35
2 1
3 1
4 2
5 3
6 3
7 2
8 7
9 5
10 2
11 6
12 7
13 10
14 5
15 5
16 3
17 16
18 7
19 3
20 15
21 11
22 3
23 11
24 20
25 13
26 15
27 22
28 3
29 28
30 27
31 2
32 23
33 19
34 20
35 6
2 1
3 2
4 2
5 2
6 4
7 4
8 1
9 6
10 8
11 5
12 4
13 5
14 10
15 3
16 12
17 14
18 17
19 6
20 9
21 3
22 16
23 11
24 12
2...

output:

No
No
Isomorphism
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
Isomorphism
Isomorphism
Isomorphism
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
...

result:

ok 30000 tokens

Test #16:

score: 0
Accepted
time: 191ms
memory: 3712kb

input:

30000
37
2 1
3 2
4 2
5 4
6 1
7 1
8 3
9 5
10 5
11 4
12 10
13 12
14 4
15 3
16 5
17 6
18 10
19 7
20 18
21 7
22 3
23 18
24 5
25 9
26 3
27 9
28 25
29 2
30 4
31 3
32 30
33 10
34 22
35 27
36 5
37 10
2 1
3 1
4 2
5 1
6 2
7 6
8 6
9 8
10 2
11 4
12 10
13 6
14 3
15 10
16 1
17 5
18 6
19 11
20 2
21 1
22 1
23 14
24...

output:

No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
Isomorphism
No
No
No
No
...

result:

ok 30000 tokens

Test #17:

score: 0
Accepted
time: 186ms
memory: 3712kb

input:

30000
36
2 1
3 1
4 3
5 3
6 4
7 2
8 6
9 3
10 8
11 2
12 7
13 7
14 3
15 6
16 5
17 15
18 13
19 12
20 5
21 14
22 12
23 4
24 5
25 22
26 17
27 19
28 24
29 28
30 29
31 15
32 14
33 29
34 26
35 30
36 12
8 1
17 1
28 17
18 17
11 28
23 8
25 11
22 17
33 25
13 8
20 23
36 23
26 17
10 11
6 18
19 10
16 36
14 20
21 18...

output:

Isomorphism
No
No
No
No
No
Isomorphism
No
No
No
Isomorphism
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
Isomorphism
No
No
Isomorphism
No
Isomorphism
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
...

result:

ok 30000 tokens

Test #18:

score: 0
Accepted
time: 197ms
memory: 3584kb

input:

30000
30
2 1
3 2
4 3
5 1
6 2
7 3
8 5
9 3
10 7
11 4
12 5
13 9
14 3
15 9
16 9
17 15
18 15
19 8
20 19
21 12
22 18
23 5
24 16
25 12
26 18
27 16
28 4
29 20
30 19
2 1
3 1
4 2
5 4
6 2
7 6
8 3
9 4
10 4
11 1
12 6
13 10
14 10
15 12
16 4
17 10
18 14
19 3
20 18
21 17
22 16
23 12
24 11
25 24
26 11
27 20
28 8
29 ...

output:

No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
Isomorphism
Isomorphism
No
No
Isomorphism
No
No
No
No
No
No
Isomorphism
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
...

result:

ok 30000 tokens

Test #19:

score: 0
Accepted
time: 201ms
memory: 3712kb

input:

16000
75
2 1
3 1
4 2
5 1
6 1
7 2
8 2
9 2
10 9
11 3
12 7
13 1
14 11
15 1
16 8
17 8
18 3
19 5
20 9
21 3
22 11
23 5
24 5
25 18
26 8
27 25
28 3
29 4
30 6
31 4
32 9
33 11
34 17
35 12
36 8
37 35
38 31
39 28
40 4
41 3
42 14
43 18
44 42
45 26
46 33
47 7
48 5
49 3
50 24
51 9
52 4
53 19
54 47
55 9
56 30
57 53...

output:

No
No
No
No
No
No
No
No
Isomorphism
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
...

result:

ok 16000 tokens

Test #20:

score: 0
Accepted
time: 206ms
memory: 3584kb

input:

11000
105
2 1
3 2
4 2
5 3
6 2
7 1
8 3
9 2
10 8
11 5
12 2
13 6
14 9
15 3
16 13
17 10
18 17
19 4
20 13
21 10
22 13
23 10
24 12
25 10
26 20
27 14
28 18
29 16
30 12
31 2
32 27
33 3
34 3
35 24
36 25
37 16
38 8
39 4
40 37
41 19
42 17
43 29
44 4
45 15
46 10
47 10
48 26
49 13
50 45
51 8
52 3
53 15
54 44
55 ...

output:

No
No
No
No
No
No
Isomorphism
Isomorphism
No
No
No
No
No
No
No
No
Isomorphism
No
Isomorphism
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
Isomorphism
No
No
No
No
No
No
No
Isomorphism
No
Isomorphism
No
No
No
No
No
No
No
Isomorphism
No
Isomorphism
No
No
No
No
No
No
No
Iso...

result:

ok 11000 tokens

Test #21:

score: 0
Accepted
time: 212ms
memory: 3712kb

input:

5000
139
2 1
3 1
4 3
5 2
6 1
7 3
8 5
9 4
10 9
11 9
12 3
13 12
14 2
15 7
16 10
17 8
18 13
19 13
20 17
21 19
22 3
23 1
24 9
25 2
26 17
27 5
28 22
29 10
30 5
31 10
32 20
33 10
34 6
35 17
36 31
37 6
38 16
39 11
40 3
41 24
42 35
43 29
44 14
45 24
46 38
47 19
48 47
49 44
50 24
51 6
52 39
53 21
54 2
55 29
...

output:

No
Isomorphism
No
No
No
Isomorphism
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
Isomorphism
No
No
No
No
No
No
No
Isomorphism
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
...

result:

ok 5000 tokens

Test #22:

score: 0
Accepted
time: 213ms
memory: 3712kb

input:

5000
139
2 1
3 1
4 1
5 4
6 4
7 1
8 7
9 3
10 9
11 7
12 5
13 6
14 7
15 2
16 10
17 9
18 8
19 13
20 19
21 7
22 3
23 17
24 2
25 4
26 18
27 4
28 23
29 14
30 9
31 18
32 8
33 8
34 5
35 23
36 16
37 26
38 18
39 1
40 33
41 32
42 34
43 14
44 20
45 33
46 28
47 25
48 5
49 46
50 29
51 18
52 15
53 32
54 48
55 42
56...

output:

Isomorphism
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
Isomorphism
No
No
Isomorphism
No
No
No
No
No
No
Isomor...

result:

ok 5000 tokens

Test #23:

score: 0
Accepted
time: 198ms
memory: 3712kb

input:

2500
373
2 1
3 1
4 2
5 1
6 3
7 3
8 7
9 6
10 8
11 3
12 9
13 2
14 6
15 5
16 8
17 15
18 3
19 12
20 19
21 12
22 13
23 9
24 2
25 14
26 17
27 11
28 23
29 10
30 6
31 25
32 25
33 23
34 30
35 30
36 12
37 5
38 27
39 16
40 18
41 34
42 4
43 26
44 22
45 15
46 36
47 12
48 17
49 2
50 48
51 36
52 41
53 3
54 10
55 4...

output:

No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
Isomorphism
No
Isomorphism
No
No
No
No
No
Isomorphism
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
Isomorphism
No
...

result:

ok 2500 tokens

Test #24:

score: 0
Accepted
time: 172ms
memory: 3840kb

input:

1000
743
2 1
3 2
4 2
5 2
6 3
7 5
8 7
9 5
10 6
11 10
12 11
13 7
14 3
15 3
16 9
17 7
18 3
19 18
20 7
21 3
22 14
23 17
24 4
25 20
26 1
27 23
28 3
29 17
30 4
31 18
32 25
33 3
34 1
35 10
36 24
37 35
38 28
39 9
40 14
41 25
42 26
43 18
44 34
45 3
46 18
47 29
48 43
49 35
50 32
51 31
52 33
53 43
54 52
55 16
...

output:

No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
Isomorphism
No
No
Isomorphism
No
No
No
Isomorphism
No
No
No
No
No
No
...

result:

ok 1000 tokens

Test #25:

score: 0
Accepted
time: 211ms
memory: 3712kb

input:

1300
599
2 1
3 2
4 2
5 3
6 1
7 4
8 6
9 6
10 5
11 8
12 5
13 12
14 9
15 13
16 8
17 13
18 8
19 9
20 17
21 20
22 13
23 9
24 3
25 1
26 2
27 23
28 20
29 14
30 4
31 10
32 3
33 4
34 33
35 26
36 27
37 18
38 23
39 13
40 36
41 27
42 27
43 10
44 35
45 11
46 1
47 2
48 34
49 9
50 12
51 43
52 35
53 32
54 51
55 26
...

output:

No
No
No
No
No
No
No
No
No
No
Isomorphism
Isomorphism
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
...

result:

ok 1300 tokens

Test #26:

score: 0
Accepted
time: 222ms
memory: 3840kb

input:

1300
578
2 1
3 1
4 1
5 3
6 2
7 5
8 7
9 1
10 7
11 7
12 7
13 12
14 9
15 11
16 6
17 4
18 11
19 10
20 13
21 12
22 5
23 8
24 19
25 9
26 13
27 15
28 12
29 26
30 17
31 6
32 28
33 19
34 17
35 7
36 1
37 18
38 5
39 22
40 14
41 17
42 4
43 36
44 26
45 17
46 29
47 33
48 16
49 18
50 38
51 7
52 22
53 48
54 38
55 1...

output:

No
No
No
Isomorphism
No
Isomorphism
No
No
No
No
Isomorphism
No
No
No
Isomorphism
No
Isomorphism
No
No
No
Isomorphism
No
Isomorphism
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
Isomorphism
No
No
No
Isomorphism
No
Isomorphism
No
No
No
No
No
...

result:

ok 1300 tokens

Test #27:

score: 0
Accepted
time: 231ms
memory: 3968kb

input:

500
1615
2 1
3 1
4 1
5 2
6 1
7 3
8 2
9 1
10 4
11 1
12 6
13 6
14 8
15 11
16 3
17 16
18 5
19 4
20 15
21 11
22 12
23 6
24 7
25 23
26 24
27 16
28 27
29 19
30 13
31 10
32 6
33 8
34 16
35 21
36 27
37 35
38 12
39 32
40 4
41 37
42 39
43 27
44 39
45 15
46 37
47 5
48 32
49 28
50 34
51 3
52 50
53 25
54 31
55 4...

output:

No
Isomorphism
No
No
No
No
Isomorphism
No
No
No
No
Isomorphism
No
No
No
No
No
No
Isomorphism
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
Isomorphism
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
...

result:

ok 500 tokens

Test #28:

score: 0
Accepted
time: 234ms
memory: 4480kb

input:

150
4055
2 1
3 2
4 3
5 2
6 3
7 5
8 7
9 5
10 2
11 1
12 6
13 6
14 11
15 13
16 1
17 8
18 10
19 1
20 4
21 17
22 15
23 3
24 8
25 7
26 22
27 22
28 11
29 18
30 26
31 15
32 6
33 1
34 3
35 10
36 9
37 6
38 15
39 24
40 16
41 15
42 37
43 35
44 13
45 41
46 35
47 2
48 20
49 36
50 1
51 19
52 43
53 48
54 35
55 25
5...

output:

No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
Isomorphism
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
Isomorphism
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
...

result:

ok 150 tokens

Test #29:

score: 0
Accepted
time: 258ms
memory: 5248kb

input:

70
10971
2 1
3 1
4 1
5 2
6 4
7 5
8 7
9 3
10 6
11 1
12 10
13 8
14 5
15 14
16 15
17 1
18 12
19 15
20 13
21 8
22 20
23 7
24 3
25 10
26 22
27 9
28 6
29 11
30 29
31 22
32 31
33 25
34 8
35 25
36 30
37 25
38 6
39 37
40 31
41 4
42 37
43 11
44 19
45 25
46 35
47 39
48 22
49 46
50 8
51 35
52 35
53 33
54 47
55 ...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
Isomorphism
No
No
Isomorphism
No
Isomorphism
No
No
No
No
Isomorphism
No
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No

result:

ok 70 tokens

Test #30:

score: 0
Accepted
time: 277ms
memory: 5760kb

input:

50
13405
2 1
3 1
4 1
5 2
6 4
7 5
8 6
9 1
10 4
11 10
12 11
13 9
14 11
15 6
16 10
17 15
18 17
19 7
20 16
21 8
22 1
23 18
24 7
25 24
26 8
27 24
28 16
29 11
30 11
31 3
32 30
33 25
34 16
35 11
36 8
37 32
38 8
39 29
40 22
41 15
42 8
43 16
44 40
45 22
46 22
47 17
48 40
49 47
50 4
51 34
52 20
53 32
54 8
55 ...

output:

No
Isomorphism
Isomorphism
No
No
Isomorphism
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
Isomorphism
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No

result:

ok 50 tokens

Test #31:

score: 0
Accepted
time: 584ms
memory: 10368kb

input:

10
100000
2 1
3 1
4 1
5 3
6 3
7 3
8 2
9 7
10 9
11 9
12 9
13 11
14 8
15 11
16 2
17 10
18 17
19 18
20 5
21 2
22 14
23 6
24 16
25 12
26 11
27 23
28 3
29 27
30 15
31 2
32 23
33 27
34 20
35 29
36 34
37 5
38 1
39 7
40 12
41 13
42 24
43 25
44 16
45 5
46 24
47 4
48 14
49 37
50 12
51 16
52 39
53 3
54 23
55 2...

output:

No
No
No
No
No
No
No
No
No
No

result:

ok 10 tokens

Test #32:

score: 0
Accepted
time: 833ms
memory: 10624kb

input:

10
100000
2 1
3 1
4 2
5 4
6 3
7 6
8 2
9 7
10 7
11 10
12 9
13 12
14 3
15 7
16 13
17 8
18 15
19 5
20 8
21 11
22 15
23 5
24 19
25 6
26 6
27 12
28 6
29 23
30 16
31 9
32 31
33 1
34 10
35 6
36 14
37 2
38 4
39 8
40 18
41 21
42 2
43 2
44 36
45 13
46 11
47 39
48 2
49 37
50 37
51 21
52 24
53 16
54 22
55 34
56...

output:

No
No
No
No
No
Isomorphism
No
No
Isomorphism
No

result:

ok 10 tokens

Test #33:

score: 0
Accepted
time: 157ms
memory: 3584kb

input:

150000
6
2 1
3 2
4 1
5 3
6 4
2 1
3 2
4 2
5 2
6 4
8
2 1
3 2
4 1
5 4
6 3
7 2
8 5
2 1
3 1
4 3
5 3
6 3
7 2
8 3
6
2 1
3 2
4 1
5 4
6 3
2 1
3 1
4 3
5 4
6 1
6
2 1
3 1
4 1
5 3
6 4
2 1
3 2
4 2
5 4
6 3
8
2 1
3 1
4 3
5 1
6 5
7 1
8 1
2 1
3 2
4 3
5 2
6 2
7 5
8 2
4
2 1
3 1
4 3
2 1
3 1
4 3
7
2 1
3 2
4 2
5 2
6 3
7 6...

output:

No
No
No
No
No
Isomorphism
No
No
No
No
Isomorphism
No
Isomorphism
No
No
No
Isomorphism
No
No
Isomorphism
No
No
No
No
Isomorphism
No
No
No
No
No
Isomorphism
No
No
Isomorphism
No
No
No
Isomorphism
No
No
No
Isomorphism
Isomorphism
Isomorphism
No
No
No
No
No
No
Isomorphism
No
No
No
Isomorphism
No
No
No
...

result:

ok 150000 tokens

Test #34:

score: 0
Accepted
time: 160ms
memory: 3584kb

input:

120000
9
2 1
3 1
4 2
5 4
6 3
7 5
8 6
9 8
7 1
6 1
2 7
4 2
8 6
3 4
9 8
5 9
8
2 1
3 1
4 3
5 4
6 1
7 4
8 6
2 1
3 2
4 2
5 1
6 4
7 3
8 7
5
2 1
3 2
4 2
5 3
2 1
3 2
4 3
5 4
10
2 1
3 1
4 3
5 3
6 3
7 1
8 4
9 5
10 7
2 1
3 2
4 1
5 4
6 1
7 6
8 6
9 3
10 6
10
2 1
3 2
4 3
5 4
6 5
7 3
8 3
9 7
10 9
2 1
3 1
4 2
5 4
6 ...

output:

Isomorphism
No
No
No
No
No
No
No
No
Isomorphism
Isomorphism
Isomorphism
No
No
No
Isomorphism
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Isomorphism
No
No
Isomorphism
No
No
Isomorphism
No
No
Isomorphism
No
Isomorphism
No
No
No
No
No
No
No
No
Isomorphism
No
No
No
Isomorphism
Isomorphism
Isomorphism
No
...

result:

ok 120000 tokens