結果

問題 No.147 試験監督（2）
コンテスト
ユーザー tubo28
提出日時 2015-02-12 21:20:07
言語 C++11（廃止可能性あり）
(gcc 13.3.0)
結果
AC  
実行時間 410 ms / 2,000 ms
コード長 5,748 bytes
コンパイル時間 1,756 ms
コンパイル使用メモリ 164,008 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-06-23 19:19:29
合計ジャッジ時間 3,583 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge1
このコードへのチャレンジ
（要ログイン）
ファイルパターン 結果
other AC * 4
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 # 

#define _CRT_SECURE_NO_WARNINGS
//#define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pii;
#define all(c) (c).begin(), (c).end()
#define loop(i,a,b) for(ll i=a; i<ll(b); i++)
#define rep(i,b) loop(i,0,b)
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define mt make_tuple
template<class T> istream & operator>>(istream & is, vector<T> &);
template<class T> ostream & operator<<(ostream & os, vector<T> const &);
template<int n, class...T> typename enable_if<(n>=sizeof...(T))>::type _ot(ostream &, tuple<T...> const &){}
template<int n, class...T> typename enable_if<(n< sizeof...(T))>::type _ot(ostream & os, tuple<T...> const & t){ os << (n==0?"":" ") << get<n>(t); _ot<n+1>(os, t); }
template<class...T> ostream & operator<<(ostream & os, tuple<T...> const & t){ _ot<0>(os, t); return os; }
template<int n, class...T> typename enable_if<(n>=sizeof...(T))>::type _it(istream &, tuple<T...> &){}
template<int n, class...T> typename enable_if<(n< sizeof...(T))>::type _it(istream & is, tuple<T...> & t){ is >> get<n>(t); _it<n+1>(is, t); }
template<class...T> istream & operator>>(istream & is, tuple<T...> & t){ _it<0>(is, t); return is; }
template<class T, class U> istream & operator<<(istream & is, pair<T,U> & p){ return is >> p.first >> p.second; }
template<class T, class U> ostream & operator<<(ostream & os, pair<T,U> const & p){ return os << "(" << p.first << ", " << p.second << ") "; }
template<class T> istream & operator>>(istream & is, vector<T> & v){ rep(i,v.size()) is >> v[i]; return is; }
template<class T> ostream & operator<<(ostream & os, vector<T> const & v){ rep(i,v.size()) os << v[i] << (i+1==(int)v.size()?"":" "); return os; }
#ifdef DEBUG
#define dump(...) (cerr<<#__VA_ARGS__<<" = "<<mt(__VA_ARGS__)<<" ["<<__LINE__<<"]"<<endl)
#else
#define dump(...)
#endif

#undef MCR
#define MCR Mint const &
template<int M>
struct Mint {
    int x;
    explicit Mint()
        : x(0) {}
    explicit Mint(int y){
        if((x = y%M + M) >= M) x-= M;
    }
    Mint & operator += (MCR m){
        if((x += m.x) >= M) x-=M;
        return *this;
    }
    Mint & operator -= (MCR m){
        if((x += M-m.x) >= M) x-=M;
        return *this;
    }
    Mint & operator *= (MCR m){
        x = 1LL * x * m.x % M;
        return *this;
    }
    Mint & operator /= (MCR m){
        x = (1LL * x * m.exp(M-2).x) % M;
        return *this;
    }
    Mint operator + (MCR m) const {
        return Mint(*this) += m;
    }
    Mint operator - (MCR m) const {
        return Mint(*this) -= m;
    }
    Mint operator * (MCR m) const {
        return Mint(*this) *= m;
    }
    Mint operator / (MCR m) const {
        return Mint(*this) /= m;
    }
    bool operator < (MCR m) const {
        return x < m.x;
    }
    Mint inv() const {
        return exp(M-2);
    }
    Mint exp(long long t) const {
        /* !! default 0^0 = 1 !! */
        if(x==0) return Mint(0);
        Mint e = *this, res = Mint(1);
        for(; t; e*=e, t>>=1) if(t&1) res *= e;
        return res;
    }
};
template <int M>
ostream &operator << (ostream & os, Mint<M> m){
    return os << m.x;
}

#undef MCR
#define MCR Mat const &
template<typename T>
struct Mat {
    unique_ptr<T[]> dat;
    int height, width;
    explicit Mat(int height_, int width_)
        : height(height_), width(width_){
        dat = unique_ptr<T[]>(new T[height*width]);
    }
    Mat(MCR m){
        width = m.width;
        height = m.height;
        dat = unique_ptr<T[]>(new T[height*width]);
        rep(i,width*height) dat.get()[i] = m.dat.get()[i];
    }
    Mat & operator = (MCR m) {
        width = m.width;
        height = m.height;
        dat = unique_ptr<T[]>(new T[height*width]);
        rep(i,width*height) dat.get()[i] = m.dat.get()[i];
        return *this;
    }
    T * operator [] (int i) const {
        return dat.get() + i*width;
    }
    Mat & operator += (MCR x){
        rep(i,height) rep(j,width) dat[i][j] += x[i][j];
        return *this;
    }
    Mat & operator -= (MCR x){
        rep(i,height) rep(j,width) dat[i][j] -= x[i][j];
        return *this;
    }
    Mat & operator *= (MCR b){
        Mat res(height, b.width);
        rep(i,height) rep(k,b.height) rep(j,b.width) res[i][j] += (*this)[i][k]*b[k][j];
        return *this = res;
    }
    Mat operator + (MCR x) const {
        return Mat(*this) += x;
    }
    Mat operator - (MCR x) const {
        return Mat(*this) -= x;
    }
    Mat operator * (MCR x) const {
        return Mat(*this) *= x;
    }
    Mat exp(ll t) const {
        Mat e = *this, res = id(height);
        for(; t; e*=e, t>>=1) if(t&1) res *= e;
        return res;
    }
    Mat trans() const {
        Mat t(width, height);
        rep(i,width) rep(j,height) t[i][j] = dat[j][i];
        return t;
    }
    static Mat id (int n) {
        Mat res(n,n);
        rep(i,n) res[i][i] = T(1);
        return res;
    }
};

ll strMod(string const & s, ll M){
    ll a = 0;
    rep(i, s.size()) a = (s[i] - '0' + a*10) % M;
    return a;
}

int const mod = 1000000007;
typedef Mint<mod> mint;
typedef Mat<mint> mat;

mint fibonacci(ll n){
    mat a(2,2);
    a[0][0] = mint(0);
    a[0][1] = mint(1);
    a[1][0] = mint(1);
    a[1][1] = mint(1);
    mat b(2,1);
    b[0][0] = mint(1);
    b[1][0] = mint(2);
    mat ans = a.exp(n) * b;
    return ans[0][0];
}

int main(){
#ifdef LOCAL
    freopen("in","r",stdin);
#endif
    int n;
    while(cin >> n){
        mint ans(1);
        rep(i,n){
            ll c;
            string d;
            cin >> c >> d;
            ll e = strMod(d,mod-1);
            ans *= fibonacci(c).exp(e);
        }
        cout << ans << endl;
    }
}
0