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#672692#5307. Subgraph Isomorphismji_114514WA 53ms12136kbC++203.6kb2024-10-24 18:09:542024-10-24 18:09:55

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你现在查看的是最新测评结果

  • [2024-10-24 18:09:55]
  • 评测
  • 测评结果:WA
  • 用时:53ms
  • 内存:12136kb
  • [2024-10-24 18:09:54]
  • 提交

answer

#include<bits/stdc++.h>

using namespace std;

using ull = unsigned long long;
constexpr int N = 1e6 + 10;
mt19937_64 rng(time(0));
ull rad = rng();
ull shift(ull x) {
    x ^= rad;
    x ^= x << 13;
    x ^= x >> 7;
    x ^= x << 17;
    x ^= rad;
    return x;
}
ull hs[N];
int sz[N], cnte[N], col[N];
vector<int>ver[N];
bool st[N];
void dfs1(int u, int fa) {
    hs[u] = 1, st[u] = 1;
    for (auto v : ver[u]) {
        if (st[v]) continue;
        dfs1(v, u);
        hs[u] += shift(hs[v]);
    }
}

struct EDCC {
    int n, now, cnt;

    vector<int>dfn, low, s;

    EDCC(int n) : n(n), low(n + 1) {
        for (int i = 1; i <= n; i++)ver[i].clear(), st[i] = 0, hs[i] = 0, col[i] = -1;
        dfn.resize(n + 1, -1), s.clear();
        now = cnt = 0;
    }

    void add(int x, int y)
    {
        ver[x].push_back(y);
        ver[y].push_back(x);
    }

    void tarjan(int x, int fa)
    {
        dfn[x] = low[x] = now++;
        s.push_back(x);
        for (auto y : ver[x])
        {
            if (y == fa)continue;
            if (dfn[y] == -1) {
                tarjan(y, x);
                low[x] = min(low[x], low[y]);
            }
            else if (col[y] == -1 && dfn[y] < dfn[x])
            {
                low[x] = min(low[x], dfn[y]);
            }
        }
        if (dfn[x] == low[x])
        {
            int pre;
            cnt++;
            do {
                pre = s.back();
                col[pre] = cnt;
                s.pop_back();
            } while (pre != x);
        }
    }

    int work()
    {
        tarjan(1, 0);
        for (int i = 1; i <= cnt; i++)sz[i] = 0, cnte[i] = 0;
        for (int i = 1; i <= n; i++)
        {
            sz[col[i]]++;
            for (auto j : ver[i])
            {
                int x = col[i], y = col[j];
                if (x == y) {
                    cnte[x]++;
                }
            }
        }
        return cnt;
    }
};

vector<int>v;

void dfs(int u, int t)
{
    v.push_back(u), st[u] = 1;
    for (auto v : ver[u])
    {
        if (col[v] == t && !st[v])
        {
            dfs(v, t);
        }
    }
}

void solve() {
    int n, m; cin >> n >> m;
    EDCC e(n);
    while (m--) {
        int u, v; cin >> u >> v;
        e.add(u, v);
    }
    m = e.work();
    int j = 0;
    for (int i = 1; i <= m; i++)
    {
        if (sz[i] > 1) {
            if (j || cnte[i] / 2 != sz[i])
            {
                cout << "NO\n";
                return;
            }
            else j = i;
        }
    }
    if (!j)cout << "YES\n";
    else {

        v.clear();
        int u;
        for (int i = 1; i <= n; i++)
        {
            if (col[i] == j) {
                u = i;
                break;
            }
        }
        dfs(u, j);
        map<ull, int>ha; int tot = 0;
        for (auto k : v) {
            dfs1(k, 0);
            if (!ha.count(hs[k])) {
                ha[hs[k]] = tot++;
            }
        }
        if (tot > 2)cout << "NO\n";
        else if (tot == 1)
        {
            cout << "YES\n";
        }
        else {
            int op = ha[hs[v[0]]];
            for (auto k : v)
            {
                if (ha[hs[k]] != op) {
                    cout << "NO\n";
                    return;
                }
                op ^= 1;
            }
            cout << "YES\n";
        }
    }
}


int main()
{
    ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
    int t = 1; cin >> t;
    while (t--)solve();
    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 11868kb

input:

4
7 6
1 2
2 3
3 4
4 5
5 6
3 7
3 3
1 2
2 3
3 1
5 5
1 2
2 3
3 4
4 1
1 5
1 0

output:

YES
YES
NO
YES

result:

ok 4 token(s): yes count is 3, no count is 1

Test #2:

score: -100
Wrong Answer
time: 53ms
memory: 12136kb

input:

33192
2 1
1 2
3 2
1 3
2 3
3 3
1 2
1 3
2 3
4 3
1 4
2 4
3 4
4 3
1 3
1 4
2 4
4 4
1 3
1 4
2 4
3 4
4 4
1 3
1 4
2 3
2 4
4 5
1 3
1 4
2 3
2 4
3 4
4 6
1 2
1 3
1 4
2 3
2 4
3 4
5 4
1 5
2 5
3 5
4 5
5 4
1 4
1 5
2 5
3 5
5 5
1 4
1 5
2 5
3 5
4 5
5 5
1 4
1 5
2 4
3 5
4 5
5 5
1 4
1 5
2 4
2 5
3 5
5 6
1 4
1 5
2 4
2 5
3 ...

output:

YES
YES
YES
YES
YES
NO
YES
NO
NO
YES
YES
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
YES
YES
NO
YES
YES
NO
NO
NO
YES
NO
NO
NO
NO
NO
YES
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO...

result:

wrong answer expected NO, found YES [374th token]