QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#739592#9488. Do Not Turn Backnan01AC ✓865ms6212kbC++235.5kb2024-11-12 22:20:282024-11-12 22:20:32

Judging History

你现在查看的是最新测评结果

  • [2024-11-12 22:20:32]
  • 评测
  • 测评结果:AC
  • 用时:865ms
  • 内存:6212kb
  • [2024-11-12 22:20:28]
  • 提交

answer

#include <bits/stdc++.h>
#define rep(i, a, n) for (int i = a; i <= n; i++)
#define per(i, a, n) for (int i = n; i >= a; i--)
#define ll long long
#define pii pair<int, int>
#define inf 0x3f3f3f3f
#define fi first
#define pll pair<ll, ll>
#define se second
#define lll __int128
#define ld long double
#define all(a) a.begin() + 1, a.end()
#define iofast                   \
    ios::sync_with_stdio(false); \
    cin.tie(0), cout.tie(0)
#define lowbit(i) (i & (-i))
using namespace std;
const int maxn = 1e6 + 5, mod = 1000000007;
// modint
template <int MOD>
struct Fp
{
    ll val;
    Fp(ll v = 0) : val(v % MOD)
    {
        if (val < 0)
            val += MOD;
    }
    int getmod() const { return MOD; }
    Fp operator-() const { return val ? MOD - val : 0; }
    Fp operator+(const Fp &r) const { return Fp(*this) += r; }
    Fp operator-(const Fp &r) const { return Fp(*this) -= r; }
    Fp operator*(const Fp &r) const { return Fp(*this) *= r; }
    Fp operator/(const Fp &r) const { return Fp(*this) /= r; }
    Fp &operator+=(const Fp &r)
    {
        val += r.val;
        if (val >= MOD)
            val -= MOD;
        return *this;
    }
    Fp &operator-=(const Fp &r)
    {
        val -= r.val;
        if (val < 0)
            val += MOD;
        return *this;
    }
    Fp &operator*=(const Fp &r)
    {
        val = val * r.val % MOD;
        return *this;
    }
    Fp &operator/=(const Fp &r)
    {
        ll a = r.val, b = MOD, u = 1, v = 0;
        while (b)
        {
            ll t = a / b;
            a -= t * b, swap(a, b);
            u -= t * v, swap(u, v);
        }
        val = val * u % MOD;
        if (val < 0)
            val += MOD;
        return *this;
    }
    bool operator<(const Fp &r) const { return this->val < r.val; }
    bool operator==(const Fp &r) const { return this->val == r.val; }
    bool operator!=(const Fp &r) const { return this->val != r.val; }
    friend istream &operator>>(istream &is, Fp<MOD> &x)
    {
        is >> x.val;
        x.val %= MOD;
        if (x.val < 0)
            x.val += MOD;
        return is;
    }
    friend ostream &operator<<(ostream &os, const Fp<MOD> &x) { return os << x.val; }
    friend Fp<MOD> modpow(const Fp<MOD> &r, ll n)
    {
        if (n == 0)
            return 1;
        if (n < 0)
            return modpow(modinv(r), -n);
        Fp<MOD> t = modpow(r, n / 2);
        t = t * t;
        if (n & 1)
            t = t * r;
        return t;
    }
    friend Fp<MOD> modinv(const Fp<MOD> &r)
    {
        ll a = r.val, b = MOD, u = 1, v = 0;
        while (b)
        {
            ll t = a / b;
            a -= t * b, swap(a, b);
            u -= t * v, swap(u, v);
        }
        return Fp<MOD>(u);
    }
};
const int MOD = 998244353; // 看取得哪个模!!!!!!!!!!!
typedef Fp<MOD> mint;
mint qkpow(mint a, ll p = MOD - 2)
{
    mint t = 1, tt = a;
    while (p)
    {
        if (p & 1)
            t = t * tt;
        tt = tt * tt;
        p >>= 1;
    }
    return t;
}
class matrix
{
public:
    static const int n = 200;
    // mint x[n][n];
    array<array<mint, n>, n> x;
    matrix()
    {
        for (int i = 0; i < n; i++)
        {
            for (int j = 0; j < n; j++)
                x[i][j] = 0;
        }
    }
    void init()
    {
        for (int i = 0; i < n; i++)
        {
            for (int j = 0; j < n; j++)
                x[i][j] = 0;
        }
        rep(i, 0, n - 1)
            x[i][i] = 1;
    }
    matrix operator*(matrix b)
    {
        matrix ret;
        for (int i = 0; i < n; i++)
        {
            for (int j = 0; j < n; j++)
            {
                for (int k = 0; k < n; k++)
                {
                    (ret.x[i][j] += x[i][k] * b.x[k][j]);
                }
            }
        }
        return ret;
    }
    void show()
    {
        for (int i = 0; i < n; i++)
        {
            for (int j = 0; j < n; j++)
            {
                cout << x[i][j] << " ";
            }
            cout << endl;
        }
    }
    matrix qkpow(ll p)
    {
        matrix ret;
        ret.init();
        matrix b = *this;
        while (p)
        {
            if (p & 1)
                ret = ret * b;
            b = b * b;
            p >>= 1;
        }
        return ret;
    }
};

void solve()
{
    int n, m, k;
    cin >> n >> m >> k;
    matrix mat;
    for (int i = 1; i <= m; i++)
    {
        int u, v;
        cin >> u >> v;
        u--, v--;
        mat.x[u][v] += 1;
        mat.x[v][u] += 1;
        mat.x[u + n][u] -= 1;
        mat.x[v + n][v] -= 1;
    }
    if (k == 1)
    {
        cout << mat.x[0][n - 1] << "\n";
        return;
    }
    for (int i = 0; i < n; i++)
    {
        mat.x[i][i + n] = 1;
        mat.x[i + n][i] += 1;
    }
    matrix a;
    for (int i = 0; i < n; i++)
    {
        for (int j = 1; j < n; j++)
        {
            if (mat.x[0][i].val && mat.x[i][j].val)
            {
                a.x[0][j] += 1;
            }
        }
        a.x[0][i + n] = mat.x[0][i];
    }
    if (k == 2)
    {
        cout << a.x[0][n - 1] << "\n";
        return;
    }
    // a.show();
    k -= 2;
    // mat.show();
    mat = mat.qkpow(k);
    mat = a * mat;
    // mat.show();
    cout << mat.x[0][n - 1] << endl;
}
int main()
{
    iofast;
    int t = 1;
    // cin >> t;
    while (t--)
        solve();
    // cout << endl;
    //  system("pause");
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 73ms
memory: 6084kb

input:

6 8 5
1 2
1 3
2 3
2 4
3 5
4 5
4 6
5 6

output:

2

result:

ok "2"

Test #2:

score: 0
Accepted
time: 297ms
memory: 6208kb

input:

11 11 2023
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
10 11
1 11

output:

1

result:

ok "1"

Test #3:

score: 0
Accepted
time: 752ms
memory: 6088kb

input:

7 21 1000000000
1 2
1 3
1 4
1 5
1 6
1 7
2 3
2 4
2 5
2 6
2 7
3 4
3 5
3 6
3 7
4 5
4 6
4 7
5 6
5 7
6 7

output:

405422475

result:

ok "405422475"

Test #4:

score: 0
Accepted
time: 582ms
memory: 6148kb

input:

12 56 78144853
1 2
1 3
1 4
1 6
1 7
1 9
1 10
1 11
1 12
2 4
2 5
2 6
2 8
2 9
2 10
2 11
2 12
3 4
3 5
3 6
3 7
3 8
3 9
3 11
3 12
4 5
4 6
4 7
4 8
4 9
4 10
4 11
4 12
5 6
5 7
5 8
5 9
5 10
5 11
5 12
6 8
6 9
6 10
7 8
7 9
7 11
7 12
8 9
8 10
8 11
8 12
9 10
9 11
9 12
10 11
11 12

output:

843326021

result:

ok "843326021"

Test #5:

score: 0
Accepted
time: 836ms
memory: 6060kb

input:

13 61 268435455
1 2
1 3
1 4
1 5
1 6
1 8
1 9
1 10
1 11
1 12
1 13
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 12
2 13
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 6
4 7
4 9
4 12
4 13
5 6
5 7
5 9
5 11
5 13
6 7
6 8
6 9
6 11
6 12
6 13
7 8
7 10
7 11
7 12
8 9
8 10
8 11
8 12
8 13
9 10
9 12
9 13
10 11
10 12
10 13
11 12
11 13
12 13

output:

69651169

result:

ok "69651169"

Test #6:

score: 0
Accepted
time: 744ms
memory: 6208kb

input:

14 79 33554431
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
1 11
1 12
1 13
1 14
2 3
2 4
2 5
2 6
2 7
2 8
2 11
2 12
2 14
3 5
3 6
3 7
3 8
3 9
3 10
3 11
3 12
3 13
3 14
4 5
4 6
4 7
4 8
4 9
4 11
4 12
5 6
5 7
5 10
5 11
5 12
5 13
5 14
6 7
6 8
6 9
6 10
6 11
6 12
6 13
6 14
7 8
7 9
7 10
7 11
7 12
7 13
7 14
8 10
8 11
8...

output:

793621538

result:

ok "793621538"

Test #7:

score: 0
Accepted
time: 623ms
memory: 6156kb

input:

15 92 439487671
1 2
1 3
1 5
1 7
1 8
1 9
1 10
1 11
1 13
1 14
1 15
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
2 11
2 12
2 13
2 14
2 15
3 4
3 5
3 6
3 7
3 8
3 9
3 10
3 11
3 12
3 13
3 14
3 15
4 5
4 6
4 7
4 8
4 9
4 10
4 11
4 12
4 13
4 14
4 15
5 7
5 8
5 10
5 11
5 12
5 13
5 14
6 7
6 8
6 9
6 10
6 11
6 12
6 13
6 14
6 1...

output:

196201187

result:

ok "196201187"

Test #8:

score: 0
Accepted
time: 626ms
memory: 6080kb

input:

5 10 230391930
1 2
1 3
1 4
1 5
2 3
2 4
2 5
3 4
3 5
4 5

output:

552614127

result:

ok "552614127"

Test #9:

score: 0
Accepted
time: 834ms
memory: 6212kb

input:

5 8 268435455
1 2
1 3
1 4
2 3
2 4
2 5
3 4
4 5

output:

666456772

result:

ok "666456772"

Test #10:

score: 0
Accepted
time: 774ms
memory: 6208kb

input:

6 13 67108863
1 2
1 3
1 4
1 5
2 4
2 5
2 6
3 4
3 5
3 6
4 5
4 6
5 6

output:

317571510

result:

ok "317571510"

Test #11:

score: 0
Accepted
time: 775ms
memory: 6140kb

input:

7 18 67108863
1 2
1 3
1 4
1 5
1 6
1 7
2 3
2 4
2 5
2 6
2 7
3 5
3 6
4 5
4 6
4 7
5 6
6 7

output:

921436359

result:

ok "921436359"

Test #12:

score: 0
Accepted
time: 503ms
memory: 6076kb

input:

11 43 115349891
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 3
2 6
2 7
2 8
2 9
2 11
3 4
3 5
3 8
3 9
3 10
4 5
4 6
4 7
4 8
4 9
4 11
5 6
5 7
5 9
5 10
5 11
6 7
6 9
6 10
6 11
7 8
7 9
7 10
7 11
8 9
8 11
9 10
9 11

output:

853336717

result:

ok "853336717"

Test #13:

score: 0
Accepted
time: 669ms
memory: 6156kb

input:

14 78 758166229
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
1 11
1 12
1 13
1 14
2 3
2 4
2 5
2 6
2 7
2 8
2 10
2 11
2 14
3 5
3 6
3 7
3 8
3 9
3 10
3 11
4 5
4 6
4 7
4 8
4 9
4 10
4 11
4 13
4 14
5 6
5 7
5 8
5 9
5 10
5 11
5 13
5 14
6 7
6 8
6 9
6 10
6 11
6 12
6 14
7 8
7 9
7 10
7 11
7 12
7 13
7 14
8 9
8 10
8 11
8 1...

output:

949739691

result:

ok "949739691"

Test #14:

score: 0
Accepted
time: 655ms
memory: 6156kb

input:

52 51 376665160
1 2
1 3
2 4
4 5
5 6
5 7
3 8
5 9
5 10
5 11
6 12
4 13
2 14
6 15
14 16
9 17
8 18
15 19
11 20
9 21
1 22
21 23
3 24
24 25
24 26
10 27
7 28
24 29
16 30
6 31
4 32
5 33
10 34
33 35
32 36
19 37
29 38
18 39
17 40
13 41
39 42
3 43
12 44
34 45
20 46
38 47
27 48
43 49
5 50
6 51
4 52

output:

0

result:

ok "0"

Test #15:

score: 0
Accepted
time: 53ms
memory: 6208kb

input:

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

output:

1

result:

ok "1"

Test #16:

score: 0
Accepted
time: 745ms
memory: 6156kb

input:

99 98 33554431
46 94
29 46
29 75
50 75
50 61
6 61
6 10
10 49
38 49
38 86
37 86
37 66
31 66
31 71
41 71
41 67
22 67
22 52
52 62
62 74
74 89
53 89
53 91
69 91
40 69
40 97
45 97
9 45
9 18
18 23
23 25
25 43
43 92
3 92
3 5
5 28
28 58
19 58
17 19
17 80
4 80
4 56
24 56
21 24
1 21
1 95
51 95
36 51
36 96
20 ...

output:

0

result:

ok "0"

Test #17:

score: 0
Accepted
time: 0ms
memory: 5148kb

input:

98 97 2
1 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
2 11
2 12
2 13
2 14
2 15
2 16
2 17
2 18
2 19
2 20
2 21
2 22
2 23
2 24
2 25
2 26
2 27
2 28
2 29
2 30
2 31
2 32
2 33
2 34
2 35
2 36
2 37
2 38
2 39
2 40
2 41
2 42
2 43
2 44
2 45
2 46
2 47
2 48
2 49
2 50
2 51
2 52
2 53
2 54
2 55
2 56
2 57
2 58
2 59
2 60
2 61
...

output:

1

result:

ok "1"

Test #18:

score: 0
Accepted
time: 608ms
memory: 6096kb

input:

91 91 68838384
35 46
29 46
29 75
50 75
50 61
6 61
6 10
10 49
38 49
38 86
37 86
37 66
31 66
31 71
41 71
41 67
22 67
22 52
52 62
62 74
74 89
53 89
53 91
69 91
40 69
40 79
45 79
9 45
9 18
18 23
23 25
25 43
12 43
3 12
3 5
5 28
28 58
19 58
17 19
17 80
4 80
4 56
24 56
21 24
1 21
1 64
51 64
36 51
36 47
20 ...

output:

1

result:

ok "1"

Test #19:

score: 0
Accepted
time: 684ms
memory: 6088kb

input:

92 92 860263916
30 45
45 60
60 66
66 78
15 78
9 15
9 14
14 35
35 37
37 85
24 85
24 65
64 65
10 64
10 53
32 53
22 32
22 51
51 80
80 92
77 92
43 77
33 43
33 39
39 82
6 82
2 6
2 88
40 88
40 58
25 58
25 72
72 91
7 91
7 8
8 57
48 57
21 48
21 68
68 79
55 79
12 55
12 38
1 38
1 90
63 90
13 63
13 44
44 54
47...

output:

1

result:

ok "1"

Test #20:

score: 0
Accepted
time: 638ms
memory: 6140kb

input:

91 4095 412854823
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
1 11
1 12
1 13
1 14
1 15
1 16
1 17
1 18
1 19
1 20
1 21
1 22
1 23
1 24
1 25
1 26
1 27
1 28
1 29
1 30
1 31
1 32
1 33
1 34
1 35
1 36
1 37
1 38
1 39
1 40
1 41
1 42
1 43
1 44
1 45
1 46
1 47
1 48
1 49
1 50
1 51
1 52
1 53
1 54
1 55
1 56
1 57
1 58
1 59
...

output:

309435713

result:

ok "309435713"

Test #21:

score: 0
Accepted
time: 775ms
memory: 6096kb

input:

92 4186 67108863
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
1 11
1 12
1 13
1 14
1 15
1 16
1 17
1 18
1 19
1 20
1 21
1 22
1 23
1 24
1 25
1 26
1 27
1 28
1 29
1 30
1 31
1 32
1 33
1 34
1 35
1 36
1 37
1 38
1 39
1 40
1 41
1 42
1 43
1 44
1 45
1 46
1 47
1 48
1 49
1 50
1 51
1 52
1 53
1 54
1 55
1 56
1 57
1 58
1 59
1...

output:

445773689

result:

ok "445773689"

Test #22:

score: 0
Accepted
time: 863ms
memory: 6164kb

input:

93 4278 536870911
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
1 11
1 12
1 13
1 14
1 15
1 16
1 17
1 18
1 19
1 20
1 21
1 22
1 23
1 24
1 25
1 26
1 27
1 28
1 29
1 30
1 31
1 32
1 33
1 34
1 35
1 36
1 37
1 38
1 39
1 40
1 41
1 42
1 43
1 44
1 45
1 46
1 47
1 48
1 49
1 50
1 51
1 52
1 53
1 54
1 55
1 56
1 57
1 58
1 59
...

output:

664971360

result:

ok "664971360"

Test #23:

score: 0
Accepted
time: 737ms
memory: 6088kb

input:

94 4371 531304381
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
1 11
1 12
1 13
1 14
1 15
1 16
1 17
1 18
1 19
1 20
1 21
1 22
1 23
1 24
1 25
1 26
1 27
1 28
1 29
1 30
1 31
1 32
1 33
1 34
1 35
1 36
1 37
1 38
1 39
1 40
1 41
1 42
1 43
1 44
1 45
1 46
1 47
1 48
1 49
1 50
1 51
1 52
1 53
1 54
1 55
1 56
1 57
1 58
1 59
...

output:

33852961

result:

ok "33852961"

Test #24:

score: 0
Accepted
time: 609ms
memory: 6144kb

input:

10 38 187055368
1 2
1 3
1 5
1 6
1 8
1 9
1 10
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 5
4 6
4 7
4 8
4 9
5 7
5 8
5 9
5 10
6 7
6 8
6 9
6 10
7 8
7 10
8 10

output:

174346166

result:

ok "174346166"

Test #25:

score: 0
Accepted
time: 655ms
memory: 6156kb

input:

31 395 508956048
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
1 12
1 14
1 15
1 16
1 17
1 18
1 19
1 20
1 21
1 23
1 24
1 25
1 26
1 27
1 28
1 30
1 31
2 3
2 4
2 5
2 6
2 7
2 8
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3 1...

output:

898454226

result:

ok "898454226"

Test #26:

score: 0
Accepted
time: 579ms
memory: 6092kb

input:

46 843 103688348
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2...

output:

804037438

result:

ok "804037438"

Test #27:

score: 0
Accepted
time: 865ms
memory: 6128kb

input:

81 2612 536870911
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...

output:

439960927

result:

ok "439960927"

Test #28:

score: 0
Accepted
time: 804ms
memory: 6088kb

input:

98 3845 134217727
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...

output:

687576024

result:

ok "687576024"

Test #29:

score: 0
Accepted
time: 744ms
memory: 6080kb

input:

38 559 33554431
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3...

output:

245031029

result:

ok "245031029"

Test #30:

score: 0
Accepted
time: 835ms
memory: 6172kb

input:

53 1106 268435455
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...

output:

437352844

result:

ok "437352844"

Test #31:

score: 0
Accepted
time: 669ms
memory: 6208kb

input:

43 725 710015779
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2 29
2 32
2 3...

output:

287707534

result:

ok "287707534"

Test #32:

score: 0
Accepted
time: 786ms
memory: 6144kb

input:

66 1737 67108863
1 2
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2...

output:

655903832

result:

ok "655903832"

Test #33:

score: 0
Accepted
time: 588ms
memory: 6136kb

input:

29 327 815825607
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3 15
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3 20
...

output:

3611745

result:

ok "3611745"

Test #34:

score: 0
Accepted
time: 860ms
memory: 6064kb

input:

100 4950 536870911
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1 59...

output:

77654284

result:

ok "77654284"

Test #35:

score: 0
Accepted
time: 865ms
memory: 6092kb

input:

100 3962 536870911
1 2
1 3
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1 67...

output:

277610741

result:

ok "277610741"

Test #36:

score: 0
Accepted
time: 865ms
memory: 6152kb

input:

99 3919 536870911
1 2
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1 70
1 7...

output:

377999899

result:

ok "377999899"

Extra Test:

score: 0
Extra Test Passed