結果

問題 No.590 Replacement
ユーザー Pachicobue
提出日時 2017-11-04 17:13:32
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
WA  
実行時間 -
コード長 3,909 bytes
コンパイル時間 2,812 ms
コンパイル使用メモリ 207,848 KB
最終ジャッジ日時 2025-01-05 03:48:32
ジャッジサーバーID
（参考情報） 		judge4 / judge5
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ファイルパターン 結果
other AC * 11 WA * 36
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ソースコード

diff # 

#include <bits/stdc++.h>

#define show(x) cerr << #x << " = " << x << endl

using namespace std;
using ll = long long;
using pii = pair<int, int>;
using vi = vector<int>;

template <typename T>
ostream& operator<<(ostream& os, const vector<T>& v)
{
    os << "sz=" << v.size() << "\n[";
    for (const auto& p : v) {
        os << p << ",";
    }
    os << "]\n";
    return os;
}

template <typename S, typename T>
ostream& operator<<(ostream& os, const pair<S, T>& p)
{
    os << "(" << p.first << "," << p.second
       << ")";
    return os;
}


constexpr ll MOD = 1e9 + 7;

template <typename T>
constexpr T INF = numeric_limits<T>::max() / 100;

class DisjointSets
{
public:
    DisjointSets(const int v)
    {
        m_parent.resize(v);
        m_rank.resize(v);
        m_size.resize(v);
        for (int i = 0; i < v; i++) {
            m_parent[i] = i;
            m_rank[i] = 0;
            m_size[i] = 1;
        }
    }

    bool same(const int a, const int b)
    {
        return find(a) == find(b);
    }


    int find(const int a)
    {
        if (m_parent[a] == a) {
            return a;
        } else {
            return m_parent[a] = find(m_parent[a]);
        }
    }

    void unite(const int a_, const int b_)
    {
        const int a = find(a_);
        const int b = find(b_);
        if (a == b) {
            return;
        }
        if (m_rank[a] > m_rank[b]) {
            m_parent[b] = a;
            m_size[a] += m_size[b];
        } else {
            m_parent[a] = b;
            m_size[b] += m_size[a];
        }
        if (m_rank[a] == m_rank[b]) {
            m_rank[b]++;
        }
    }

    int getSize(const int a)
    {
        return m_size[m_parent[a]];
    }

private:
    vector<int> m_parent;
    vector<int> m_rank;
    vector<int> m_size;
};

struct Cycles {
    int acycle;
    int bcycle;
    int mode;
    bool operator<(const Cycles& c) const
    {
        return (acycle != c.acycle) ? acycle < c.acycle : (bcycle != c.bcycle) ? bcycle < c.bcycle : mode < c.mode;
    }
};
ostream& operator<<(ostream& os, const Cycles& c)
{
    os << "acycle = " << c.acycle << ", bcycle = " << c.bcycle << ", mode = " << c.mode << endl;
    return os;
}

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    int N;
    cin >> N;
    DisjointSets auf(N);
    vector<int> A(N);
    DisjointSets buf(N);
    vector<int> B(N);
    for (int i = 0; i < N; i++) {
        cin >> A[i];
        A[i]--;
        auf.unite(i, A[i]);
    }
    for (int i = 0; i < N; i++) {
        cin >> B[i];
        B[i]--;
        buf.unite(i, B[i]);
    }

    vector<int> aorder(N);
    vector<bool> aused(N, false);
    for (int i = 0; i < N; i++) {
        int pos = i;
        int cnt = 0;
        while (not aused[pos]) {
            aorder[pos] = cnt;
            aused[pos] = true;
            cnt++;
            pos = A[pos];
        }
    }
    vector<int> border(N);
    vector<bool> bused(N, false);
    for (int i = 0; i < N; i++) {
        int pos = i;
        int cnt = 0;
        while (not bused[pos]) {
            border[pos] = cnt;
            bused[pos] = true;
            cnt++;
            pos = B[pos];
        }
    }

    map<Cycles, int> num;
    for (int i = 0; i < N; i++) {
        const int asize = auf.getSize(i);
        const int bsize = buf.getSize(i);
        const int g = gcd(asize, bsize);
        num[Cycles{auf.find(i), buf.find(i), (((aorder[i] - border[i]) % g) + g % g)}]++;
    }
    ll sum = 0;
    for (const auto& p : num) {
        //        show(p);
        const int acycle = p.first.acycle;
        const int bcycle = p.first.bcycle;
        const ll asize = auf.getSize(acycle);
        const ll bsize = buf.getSize(bcycle);
        const ll count = p.second;
        const ll size = lcm(asize, bsize) - count;
        sum += (size * (size + 1) / 2);
        sum %= MOD;
    }
    cout << sum << endl;

    return 0;
}
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