Submission #928360

# Submission time Handle Problem Language Result Execution time Memory
928360 2024-02-16T08:57:58 Z vjudge1 Amusement Park (CEOI19_amusementpark) C++17
100 / 100
1687 ms 4696 KB
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#include <x86intrin.h>

#include <bits/stdc++.h>
#include <chrono>
#include <random>

// @author: Vlapos

namespace operators
{
    template <typename T1, typename T2>
    std::istream &operator>>(std::istream &in, std::pair<T1, T2> &x)
    {
        in >> x.first >> x.second;
        return in;
    }

    template <typename T1, typename T2>
    std::ostream &operator<<(std::ostream &out, std::pair<T1, T2> x)
    {
        out << x.first << " " << x.second;
        return out;
    }

    template <typename T1>
    std::istream &operator>>(std::istream &in, std::vector<T1> &x)
    {
        for (auto &i : x)
            in >> i;
        return in;
    }

    template <typename T1>
    std::ostream &operator<<(std::ostream &out, std::vector<T1> &x)
    {
        for (auto &i : x)
            out << i << " ";
        return out;
    }

    template <typename T1>
    std::ostream &operator<<(std::ostream &out, std::set<T1> &x)
    {
        for (auto &i : x)
            out << i << " ";
        return out;
    }
}

// name spaces
using namespace std;
using namespace operators;
// end of name spaces

// defines
#define ll long long
#define ull unsigned long long
#define pb push_back
#define mp make_pair
#define pii pair<int, int>
#define pll pair<ll, ll>
#define f first
#define s second
#define uint unsigned int
#define all(vc) vc.begin(), vc.end()
// end of defines

// usefull stuff

void boost()
{
    ios_base ::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
}

inline int getbit(int &x, int &bt) { return (x >> bt) & 1; }

const int dx4[4] = {-1, 0, 0, 1};
const int dy4[4] = {0, -1, 1, 0};
const int dx8[8] = {-1, -1, -1, 0, 0, 1, 1, 1};
const int dy8[8] = {-1, -0, 1, -1, 1, -1, 0, 1};

const ll INF = (1e18) + 500;
const int BIG = (1e9) * 2 + 100;
const int MAXN = (1e5) + 5;
const int MOD7 = (1e9) + 7;
const int MOD9 = (1e9) + 9;
const uint MODFFT = 998244353;

#define int ll

vector<ll> fact;

void initfact(ll sz, ll mod)
{
    fact.resize(sz);
    fact[0] = 1;
    for (int i = 1; i < sz; i++)
    {
        fact[i] = (fact[i - 1] * i);
        fact[i] %= mod;
    }
}
ll binpow(ll val, ll deg, ll mod)
{
    if (!deg)
        return 1 % mod;
    if (deg & 1)
        return binpow(val, deg - 1, mod) * val % mod;
    ll res = binpow(val, deg >> 1, mod);
    return (res * res) % mod;
}
ll invert(ll n, int mod)
{
    return binpow(n, mod - 2, mod);
}
ll cnk(int n, int k, int mod)
{
    ll res = fact[n];
    ll div = fact[n - k] * fact[k];
    div %= mod;
    div = binpow(div, mod - 2, mod);
    return (res * div) % mod;
}

struct test
{
    vector<vector<int>> graph;
    vector<int> was;
    int n, m;

    bool dfs(int v)
    {
        was[v] = 1;
        for (int i = 0; i < n; ++i)
            if (graph[v][i] and was[i] != 2)
            {
                if (was[i] == 1 or !dfs(i))
                    return false;
            }
        was[v] = 2;
        return true;
    }

    void solve(int testcase)
    {
        boost();

        cin >> n >> m;

        was.resize(n);
        graph.resize(n, vector<int>(n));
        vector<pii> edges;

        for (int i = 0; i < m; ++i)
        {
            int v, tov;
            cin >> v >> tov;
            --v, --tov;
            edges.pb({v, tov});
            graph[v][tov] = 1;
        }

        int res = 0;

        int mxMask = (1 << n);

        vector<int> good(mxMask), dp(mxMask);
        dp[0] = 1;

        for (int mask = 0; mask < mxMask; ++mask)
        {
            good[mask] = 1;
            for (int i = 0; i < n; ++i)
                for (int j = 0; j < n; ++j)
                    if ((mask & (1 << i)) and (mask & (1 << j)) and (graph[i][j] or graph[j][i]))
                        good[mask] = 0;
        }

        for (int mask = 1; mask < mxMask; ++mask)
            for (int sub = mask; sub > 0; sub = (sub - 1) & mask)
                if (good[sub])
                {
                    // cout << mask << " " << sub << "!\n";
                    if (__popcount(sub) % 2)
                        dp[mask] = (dp[mask] + dp[mask ^ sub] + MODFFT) % MODFFT;
                    else
                        dp[mask] = (dp[mask] - dp[mask ^ sub] + MODFFT) % MODFFT;
                }
        // cout << dp << "!\n";

        cout << (((dp[mxMask - 1] * m) % MODFFT) * invert(2, MODFFT)) % MODFFT << "\n";
    }
};

main()
{
    boost();
    int q = 1;
    // cin >> q;
    for (int i = 0; i < q; i++)
    {
        test t;
        t.solve(i);
    }
    return 0;
}
//[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]//
//                                                                                    //
//                               Coded by Der_Vlἀpos                                  //
//                                                                                    //
//[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]//

Compilation message

amusementpark.cpp: In member function 'void test::solve(long long int)':
amusementpark.cpp:167:13: warning: unused variable 'res' [-Wunused-variable]
  167 |         int res = 0;
      |             ^~~
amusementpark.cpp: At global scope:
amusementpark.cpp:199:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
  199 | main()
      | ^~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 548 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 1 ms 388 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 0 ms 344 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 1 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 1 ms 348 KB Output is correct
53 Correct 1 ms 348 KB Output is correct
54 Correct 1 ms 464 KB Output is correct
55 Correct 1 ms 348 KB Output is correct
56 Correct 1 ms 348 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 1 ms 344 KB Output is correct
59 Correct 1 ms 348 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 1 ms 348 KB Output is correct
62 Correct 1 ms 600 KB Output is correct
63 Correct 1 ms 348 KB Output is correct
64 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 548 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 1 ms 388 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 0 ms 344 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 1 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 1 ms 348 KB Output is correct
53 Correct 1 ms 348 KB Output is correct
54 Correct 1 ms 464 KB Output is correct
55 Correct 1 ms 348 KB Output is correct
56 Correct 1 ms 348 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 1 ms 344 KB Output is correct
59 Correct 1 ms 348 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 1 ms 348 KB Output is correct
62 Correct 1 ms 600 KB Output is correct
63 Correct 1 ms 348 KB Output is correct
64 Correct 1 ms 348 KB Output is correct
65 Correct 14 ms 604 KB Output is correct
66 Correct 16 ms 860 KB Output is correct
67 Correct 14 ms 600 KB Output is correct
68 Correct 14 ms 604 KB Output is correct
69 Correct 18 ms 600 KB Output is correct
70 Correct 15 ms 600 KB Output is correct
71 Correct 16 ms 600 KB Output is correct
72 Correct 16 ms 604 KB Output is correct
73 Correct 13 ms 728 KB Output is correct
74 Correct 14 ms 600 KB Output is correct
75 Correct 15 ms 728 KB Output is correct
76 Correct 15 ms 604 KB Output is correct
77 Correct 36 ms 856 KB Output is correct
78 Correct 35 ms 856 KB Output is correct
79 Correct 35 ms 860 KB Output is correct
80 Correct 33 ms 856 KB Output is correct
81 Correct 34 ms 960 KB Output is correct
82 Correct 34 ms 856 KB Output is correct
83 Correct 33 ms 860 KB Output is correct
84 Correct 33 ms 968 KB Output is correct
85 Correct 49 ms 860 KB Output is correct
86 Correct 40 ms 1112 KB Output is correct
87 Correct 46 ms 860 KB Output is correct
88 Correct 44 ms 1060 KB Output is correct
89 Correct 35 ms 1108 KB Output is correct
90 Correct 34 ms 860 KB Output is correct
91 Correct 36 ms 860 KB Output is correct
92 Correct 37 ms 856 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 548 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 1 ms 388 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 0 ms 344 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 1 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 1 ms 348 KB Output is correct
53 Correct 1 ms 348 KB Output is correct
54 Correct 1 ms 464 KB Output is correct
55 Correct 1 ms 348 KB Output is correct
56 Correct 1 ms 348 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 1 ms 344 KB Output is correct
59 Correct 1 ms 348 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 1 ms 348 KB Output is correct
62 Correct 1 ms 600 KB Output is correct
63 Correct 1 ms 348 KB Output is correct
64 Correct 1 ms 348 KB Output is correct
65 Correct 14 ms 604 KB Output is correct
66 Correct 16 ms 860 KB Output is correct
67 Correct 14 ms 600 KB Output is correct
68 Correct 14 ms 604 KB Output is correct
69 Correct 18 ms 600 KB Output is correct
70 Correct 15 ms 600 KB Output is correct
71 Correct 16 ms 600 KB Output is correct
72 Correct 16 ms 604 KB Output is correct
73 Correct 13 ms 728 KB Output is correct
74 Correct 14 ms 600 KB Output is correct
75 Correct 15 ms 728 KB Output is correct
76 Correct 15 ms 604 KB Output is correct
77 Correct 36 ms 856 KB Output is correct
78 Correct 35 ms 856 KB Output is correct
79 Correct 35 ms 860 KB Output is correct
80 Correct 33 ms 856 KB Output is correct
81 Correct 34 ms 960 KB Output is correct
82 Correct 34 ms 856 KB Output is correct
83 Correct 33 ms 860 KB Output is correct
84 Correct 33 ms 968 KB Output is correct
85 Correct 49 ms 860 KB Output is correct
86 Correct 40 ms 1112 KB Output is correct
87 Correct 46 ms 860 KB Output is correct
88 Correct 44 ms 1060 KB Output is correct
89 Correct 35 ms 1108 KB Output is correct
90 Correct 34 ms 860 KB Output is correct
91 Correct 36 ms 860 KB Output is correct
92 Correct 37 ms 856 KB Output is correct
93 Correct 1091 ms 4556 KB Output is correct
94 Correct 974 ms 4560 KB Output is correct
95 Correct 1062 ms 4696 KB Output is correct
96 Correct 750 ms 4444 KB Output is correct
97 Correct 707 ms 4444 KB Output is correct
98 Correct 853 ms 4556 KB Output is correct
99 Correct 103 ms 1620 KB Output is correct
100 Correct 90 ms 1476 KB Output is correct
101 Correct 87 ms 1368 KB Output is correct
102 Correct 86 ms 1480 KB Output is correct
103 Correct 661 ms 2640 KB Output is correct
104 Correct 329 ms 2396 KB Output is correct
105 Correct 302 ms 2508 KB Output is correct
106 Correct 239 ms 2508 KB Output is correct
107 Correct 1687 ms 4556 KB Output is correct
108 Correct 731 ms 4556 KB Output is correct
109 Correct 640 ms 4688 KB Output is correct
110 Correct 567 ms 4444 KB Output is correct
111 Correct 82 ms 1620 KB Output is correct
112 Correct 80 ms 1492 KB Output is correct
113 Correct 79 ms 1476 KB Output is correct
114 Correct 178 ms 1372 KB Output is correct
115 Correct 119 ms 1484 KB Output is correct
116 Correct 112 ms 1476 KB Output is correct
117 Correct 119 ms 1476 KB Output is correct
118 Correct 102 ms 1372 KB Output is correct
119 Correct 91 ms 1372 KB Output is correct
120 Correct 95 ms 1372 KB Output is correct
121 Correct 110 ms 1372 KB Output is correct
122 Correct 227 ms 2396 KB Output is correct
123 Correct 208 ms 2520 KB Output is correct
124 Correct 199 ms 2508 KB Output is correct
125 Correct 199 ms 2392 KB Output is correct
126 Correct 197 ms 2644 KB Output is correct
127 Correct 191 ms 2392 KB Output is correct
128 Correct 187 ms 2396 KB Output is correct
129 Correct 182 ms 2504 KB Output is correct
130 Correct 180 ms 2392 KB Output is correct
131 Correct 464 ms 2644 KB Output is correct
132 Correct 389 ms 2500 KB Output is correct
133 Correct 348 ms 2500 KB Output is correct
134 Correct 382 ms 2396 KB Output is correct
135 Correct 289 ms 2504 KB Output is correct
136 Correct 307 ms 2392 KB Output is correct
137 Correct 264 ms 2500 KB Output is correct
138 Correct 282 ms 2396 KB Output is correct
139 Correct 213 ms 2396 KB Output is correct
140 Correct 270 ms 2520 KB Output is correct
141 Correct 269 ms 2504 KB Output is correct
142 Correct 522 ms 4692 KB Output is correct
143 Correct 503 ms 4564 KB Output is correct
144 Correct 496 ms 4556 KB Output is correct
145 Correct 526 ms 4560 KB Output is correct
146 Correct 484 ms 4444 KB Output is correct
147 Correct 467 ms 4560 KB Output is correct
148 Correct 546 ms 4692 KB Output is correct
149 Correct 515 ms 4444 KB Output is correct
150 Correct 525 ms 4556 KB Output is correct
151 Correct 561 ms 4556 KB Output is correct
152 Correct 602 ms 4556 KB Output is correct
153 Correct 688 ms 4688 KB Output is correct
154 Correct 828 ms 4560 KB Output is correct
155 Correct 850 ms 4552 KB Output is correct
156 Correct 781 ms 4560 KB Output is correct
157 Correct 878 ms 4560 KB Output is correct
158 Correct 840 ms 4560 KB Output is correct
159 Correct 624 ms 4692 KB Output is correct
160 Correct 735 ms 4556 KB Output is correct
161 Correct 655 ms 4556 KB Output is correct
162 Correct 591 ms 4560 KB Output is correct
163 Correct 566 ms 4556 KB Output is correct
164 Correct 599 ms 4580 KB Output is correct
165 Correct 629 ms 4564 KB Output is correct
166 Correct 649 ms 4560 KB Output is correct
167 Correct 581 ms 4564 KB Output is correct