結果

問題 No.2104 Multiply-Add
ユーザー gazellegazelle
提出日時 2022-10-21 22:36:36
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 10 ms / 2,000 ms
コード長 7,001 bytes
コンパイル時間 1,334 ms
コンパイル使用メモリ 126,724 KB
実行使用メモリ 26,968 KB
最終ジャッジ日時 2024-07-01 07:05:33
合計ジャッジ時間 2,991 ms
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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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 9 ms
26,792 KB
testcase_01 AC 9 ms
26,764 KB
testcase_02 AC 9 ms
26,896 KB
testcase_03 AC 9 ms
26,884 KB
testcase_04 AC 9 ms
26,760 KB
testcase_05 AC 9 ms
26,812 KB
testcase_06 AC 9 ms
26,868 KB
testcase_07 AC 9 ms
26,872 KB
testcase_08 AC 10 ms
26,908 KB
testcase_09 AC 9 ms
26,860 KB
testcase_10 AC 9 ms
26,924 KB
testcase_11 AC 9 ms
26,940 KB
testcase_12 AC 8 ms
26,908 KB
testcase_13 AC 8 ms
26,872 KB
testcase_14 AC 9 ms
26,932 KB
testcase_15 AC 9 ms
26,860 KB
testcase_16 AC 9 ms
26,860 KB
testcase_17 AC 9 ms
26,868 KB
testcase_18 AC 9 ms
26,764 KB
testcase_19 AC 10 ms
26,932 KB
testcase_20 AC 9 ms
26,856 KB
testcase_21 AC 8 ms
26,864 KB
testcase_22 AC 9 ms
26,820 KB
testcase_23 AC 8 ms
26,752 KB
testcase_24 AC 9 ms
26,876 KB
testcase_25 AC 9 ms
26,824 KB
testcase_26 AC 9 ms
26,908 KB
testcase_27 AC 9 ms
26,852 KB
testcase_28 AC 9 ms
26,896 KB
testcase_29 AC 9 ms
26,760 KB
testcase_30 AC 9 ms
26,824 KB
testcase_31 AC 9 ms
26,936 KB
testcase_32 AC 9 ms
26,968 KB
testcase_33 AC 9 ms
26,936 KB
testcase_34 AC 9 ms
26,844 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <algorithm>
#include <bitset>
#include <cassert>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <vector>
#define FOR(i, n, m) for (ll i = n; i < (int)m; i++)
#define REP(i, n) FOR(i, 0, n)
#define ALL(v) v.begin(), v.end()
#define pb push_back
using namespace std;
using ll = long long;
using P = pair<ll, ll>;
constexpr ll inf = 1000000000;
constexpr ll mod = 1000000007;
constexpr long double eps = 1e-9;

template <typename T1, typename T2>
ostream& operator<<(ostream& os, pair<T1, T2> p) {
    os << to_string(p.first) << " " << to_string(p.second);
    return os;
}
template <typename T>
ostream& operator<<(ostream& os, vector<T>& v) {
    REP(i, v.size()) {
        if (i) os << " ";
        os << to_string(v[i]);
    }
    return os;
}

struct modint {
    ll n;

   public:
    modint(const ll n = 0) : n((n % mod + mod) % mod) {}
    static modint pow(modint a, int m) {
        modint r = 1;
        while (m > 0) {
            if (m & 1) {
                r *= a;
            }
            a = (a * a);
            m /= 2;
        }
        return r;
    }
    modint& operator++() {
        *this += 1;
        return *this;
    }
    modint& operator--() {
        *this -= 1;
        return *this;
    }
    modint operator++(int) {
        modint ret = *this;
        *this += 1;
        return ret;
    }
    modint operator--(int) {
        modint ret = *this;
        *this -= 1;
        return ret;
    }
    modint operator~() const { return (this->pow(n, mod - 2)); }  // inverse
    friend bool operator==(const modint& lhs, const modint& rhs) {
        return lhs.n == rhs.n;
    }
    friend bool operator<(const modint& lhs, const modint& rhs) {
        return lhs.n < rhs.n;
    }
    friend bool operator>(const modint& lhs, const modint& rhs) {
        return lhs.n > rhs.n;
    }
    friend modint& operator+=(modint& lhs, const modint& rhs) {
        lhs.n += rhs.n;
        if (lhs.n >= mod) lhs.n -= mod;
        return lhs;
    }
    friend modint& operator-=(modint& lhs, const modint& rhs) {
        lhs.n -= rhs.n;
        if (lhs.n < 0) lhs.n += mod;
        return lhs;
    }
    friend modint& operator*=(modint& lhs, const modint& rhs) {
        lhs.n = (lhs.n * rhs.n) % mod;
        return lhs;
    }
    friend modint& operator/=(modint& lhs, const modint& rhs) {
        lhs.n = (lhs.n * (~rhs).n) % mod;
        return lhs;
    }
    friend modint operator+(const modint& lhs, const modint& rhs) {
        return modint(lhs.n + rhs.n);
    }
    friend modint operator-(const modint& lhs, const modint& rhs) {
        return modint(lhs.n - rhs.n);
    }
    friend modint operator*(const modint& lhs, const modint& rhs) {
        return modint(lhs.n * rhs.n);
    }
    friend modint operator/(const modint& lhs, const modint& rhs) {
        return modint(lhs.n * (~rhs).n);
    }
};
istream& operator>>(istream& is, modint m) {
    is >> m.n;
    return is;
}
ostream& operator<<(ostream& os, modint m) {
    os << m.n;
    return os;
}

#define MAX_N 3030303
long long extgcd(long long a, long long b, long long& x, long long& y) {
    long long d = a;
    if (b != 0) {
        d = extgcd(b, a % b, y, x);
        y -= (a / b) * x;
    } else {
        x = 1;
        y = 0;
    }
    return d;
}
long long mod_inverse(long long a, long long m) {
    long long x, y;
    if (extgcd(a, m, x, y) == 1)
        return (m + x % m) % m;
    else
        return -1;
}
vector<long long> fact(MAX_N + 1, inf);
long long mod_fact(long long n, long long& e) {
    if (fact[0] == inf) {
        fact[0] = 1;
        if (MAX_N != 0) fact[1] = 1;
        for (ll i = 2; i <= MAX_N; ++i) {
            fact[i] = (fact[i - 1] * i) % mod;
        }
    }
    e = 0;
    if (n == 0) return 1;
    long long res = mod_fact(n / mod, e);
    e += n / mod;
    if ((n / mod) % 2 != 0) return (res * (mod - fact[n % mod])) % mod;
    return (res * fact[n % mod]) % mod;
}
// return nCk
long long mod_comb(long long n, long long k) {
    if (n < 0 || k < 0 || n < k) return 0;
    long long e1, e2, e3;
    long long a1 = mod_fact(n, e1), a2 = mod_fact(k, e2),
              a3 = mod_fact(n - k, e3);
    if (e1 > e2 + e3) return 0;
    return (a1 * mod_inverse((a2 * a3) % mod, mod)) % mod;
}

using mi = modint;

mi linear_sum(mi a, mi b) {
    mi ret = b * (b + 1) / 2;
    if (a.n != 0) ret -= (a - 1) * a / 2;
    return ret;
}

mi quad_sum(mi a, mi b) {
    mi ret = b * (b + 1) * (2 * b + 1) / 6;
    if (a.n != 0) ret -= (a - 1) * a * (2 * a - 1) / 6;
    return ret;
}

mi mod_pow(mi a, ll n) {
    mi ret = 1;
    mi tmp = a;
    while (n > 0) {
        if (n % 2) ret *= tmp;
        tmp = tmp * tmp;
        n /= 2;
    }
    return ret;
}

ll gcd(ll a, ll b) {
    if (b == 0) return a;
    return gcd(b, a % b);
}

vector<pair<int, int>> to_gcd(int x, int y) {
    vector<pair<int, int>> ret;

    for(int i = 0; i <= 2000; i++) {
        if(i % 2 == 0) {
            if(y == 0) break;
            ret.pb({1, -x / y});
            x -= x / y * y;
        } else {
            if(x == 0) break;
            ret.pb({2, -y / x});
            y -= y / x * x;
        }
    }
    // cout << x << " " << y << endl;
    if(x > 0 && y == 0) {
       
    } else if(x < 0 && y == 0) {
        ret.pb({2, -1});
        ret.pb({1, 2});
        ret.pb({2, -1});
    } else if(x == 0 && y > 0) {
        ret.pb({1, 1});
        ret.pb({2, -1});
    } else {
        assert(x == 0 && y < 0);
        ret.pb({1, -1});
        ret.pb({2, 1});
    }

    return ret;
}

void check(vector<pair<int, int>> v, int a, int b) {
    for(auto p: v) {
        if(p.first == 1) {
            a += p.second * b;
        } else {
            b += p.second * a;
        }
    }
    cout << a << " " << b << endl;
    return;
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);

    int a, b, c, d;
    cin >> a >> b >> c >> d;

    if(a == 0 && b == 0) {
        if(c == 0 && d == 0) {
            cout << 0 << endl;
            return 0;
        } else {
            cout << -1 << endl;
            return 0;
        }
    }
    if(c == 0 && d == 0) {
        if(a == 0 && b == 0) {
            cout << 0 << endl;
            return 0;
        } else {
            cout << -1 << endl;
            return 0;
        }
    }

    int g = gcd(a, b);

    if(c % g != 0 || d % g != 0) {
        cout << -1 << endl;
        return 0;
    }

    // ここまで OK

    vector<pair<int, int>> ab_to_g = to_gcd(a, b), cd_to_g = to_gcd(c, d);
    reverse(ALL(cd_to_g));

    int g1 = abs(gcd(a, b)), g2 = abs(gcd(c, d));
    int k = g2 / g1;
    if(k != 1) {
        cout << -1 << endl;
        return 0;
    }

    REP(i, (int)cd_to_g.size()) {
        cd_to_g[i].second = -cd_to_g[i].second;
        ab_to_g.push_back(cd_to_g[i]);
    }

    // check(ab_to_g, a, b);

    cout << (int)ab_to_g.size() << endl;
    for(auto op: ab_to_g) {
        cout << op << endl;
    }

    return 0;
}
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