結果

問題 No.950 行列累乗
コンテスト
ユーザー yosupot
提出日時 2019-12-13 00:30:40
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
TLE  
実行時間 -
コード長 6,100 bytes
コンパイル時間 1,622 ms
コンパイル使用メモリ 106,896 KB
最終ジャッジ日時 2025-01-08 10:59:02
ジャッジサーバーID
（参考情報） 		judge5 / judge2
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3 TLE * 1
other AC * 17 TLE * 40
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ソースコード

diff # 

//#pragma GCC optimize("Ofast")
//#pragma GCC target("avx")
//#undef LOCAL
       
       
#include <algorithm>
       
#include <cassert>
       
#include <cstdio>
       
#include <cstring>
       
#include <iostream>
       
#include <map>
       
#include <queue>
       
#include <set>
       
#include <string>
       
#include <unordered_map>
       
#include <unordered_set>
       
#include <vector>
using namespace std;
using uint = unsigned int;
using ll = long long;
using ull = unsigned long long;
constexpr ll TEN(int n) { return (n == 0) ? 1 : 10 * TEN(n - 1); }
template <class T> using V = vector<T>;
template <class T> using VV = V<V<T>>;
template <class T, class U>
ostream& operator<<(ostream& os, const pair<T, U>& p) {
    return os << "P(" << p.first << ", " << p.second << ")";
}
template <class T> ostream& operator<<(ostream& os, const V<T>& v) {
    os << "[";
    for (auto d : v) os << d << ", ";
    return os << "]";
}
/*
int main() {
    Scanner sc = Scanner(stdin);
    Printer pr = Printer(stdout);
    return 0;
}
*/
       
struct Scanner {
    FILE* fp = nullptr;
    char line[(1 << 15) + 1];
    size_t st = 0, ed = 0;
    void reread() {
        memmove(line, line + st, ed - st);
        ed -= st;
        st = 0;
        ed += fread(line + ed, 1, (1 << 15) - ed, fp);
        line[ed] = '\0';
    }
    bool succ() {
        while (true) {
            if (st == ed) {
                reread();
                if (st == ed) return false;
            }
            while (st != ed && isspace(line[st])) st++;
            if (st != ed) break;
        }
        if (ed - st <= 50) reread();
        return true;
    }
    template <class T, enable_if_t<is_same<T, string>::value, int> = 0>
    bool read_single(T& ref) {
        if (!succ()) return false;
        while (true) {
            succ();
            size_t sz = 1;
            while (st + sz < ed && !isspace(line[st + sz])) sz++;
            ref.append(line + st, sz);
            st += sz;
            if (st != ed) break;
        }
        return true;
    }
    template <class T, enable_if_t<is_integral<T>::value, int> = 0>
    bool read_single(T& ref) {
        if (!succ()) return false;
        bool neg = false;
        if (line[st] == '-') {
            neg = true;
            st++;
        }
        ref = T(0);
        while (isdigit(line[st])) {
            ref = 10 * ref + (line[st++] - '0');
        }
        if (neg) ref = -ref;
        return true;
    }
    template <class T> bool read_single(V<T>& ref) {
        for (auto& d : ref) {
            if (!read_single(d)) return false;
        }
        return true;
    }
    void read() {}
    template <class H, class... T> void read(H& h, T&... t) {
        bool f = read_single(h);
        assert(f);
        read(t...);
    }
    Scanner(FILE* _fp) : fp(_fp) {}
};
struct Printer {
  public:
    template <bool F = false> void write() {}
    template <bool F = false, class H, class... T>
    void write(const H& h, const T&... t) {
        if (F) write_single(' ');
        write_single(h);
        write<true>(t...);
    }
    template <class... T> void writeln(const T&... t) {
        write(t...);
        write_single('\n');
    }
    Printer(FILE* _fp) : fp(_fp) {}
    ~Printer() { flush(); }
  private:
    static constexpr size_t SIZE = 1 << 15;
    FILE* fp;
    char line[SIZE], small[50];
    size_t pos = 0;
    void flush() {
        fwrite(line, 1, pos, fp);
        pos = 0;
    }
    void write_single(const char& val) {
        if (pos == SIZE) flush();
        line[pos++] = val;
    }
    template <class T, enable_if_t<is_same<T, string>::value, int> = 0>
    void write_single(const T& val) {
        for (char c : val) write_single(c);
    }
    template <class T, enable_if_t<is_integral<T>::value, int> = 0>
    void write_single(T val) {
        if (pos > (1 << 15) - 50) flush();
        if (val == 0) {
            write_single('0');
            return;
        }
        if (val < 0) {
            write_single('-');
            val = -val; // todo min
        }
        size_t len = 0;
        while (val) {
            small[len++] = char('0' + (val % 10));
            val /= 10;
        }
        reverse(small, small + len);
        memcpy(line + pos, small, len);
        pos += len;
    }
    template <class T> void write_single(const V<T>& val) {
        auto n = val.size();
        for (size_t i = 0; i < n; i++) {
            if (i) write_single(' ');
            write_single(val[i]);
        }
    }
};
       
#include <array>
Scanner sc = Scanner(stdin);
Printer pr = Printer(stdout);
using M = array<array<ll, 2>, 2>;
ll md;
M e() {
    M m = M{};
    m[0][0] = m[1][1] = 1;
    return m;
}
M mul(M a, M b) {
    M c = M();
    for (int i = 0; i < 2; i++) {
        for (int j = 0; j < 2; j++) {
            for (int k = 0; k < 2; k++) {
                c[i][j] += (a[i][k] * b[k][j]) % md;
            }
            c[i][j] %= md;
        }
    }
    return c;
}
M pow_mod(M x, ll n) {
    M r = e();
    while (n) {
        if (n & 1) r = mul(r, x);
        x = mul(x, x);
        n >>= 1;
    }
    return r;
}
const ll STEP = TEN(6);
ll discrete_logarithm_inside(M start, M x, M y) {
    map<M, ll> mp;
    M big = e(); // x^m
    for (ll i = 0; i < STEP; i++) {
        mp[y] = i;
        y = mul(y, x);
        big = mul(big, x);
    }
    for (ll step = 0; step < TEN(12); step += STEP) {
        start = mul(start, big);
        // check [step + 1, step + STEP]
        if (mp.count(start)) {
            return (step + STEP) - mp[start];
        }
    }
    return -1;
}
ll discrete_logarithm(M x, M y) {
    M start = e();
    for (int i = 0; i < 100; i++) {
        if (i && start == y) return i;
        start = mul(start, x);
    }
    ll pred = 100 + discrete_logarithm_inside(start, x, y);
    if (pow_mod(x, pred) != y) return -1;
    return pred;
}
int main() {
    M a, b;
    sc.read(md);
    sc.read(a[0][0], a[0][1], a[1][0], a[1][1]);
    sc.read(b[0][0], b[0][1], b[1][0], b[1][1]);
    ll u = discrete_logarithm(a, b);
    pr.writeln(u);
    return 0;
}
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