結果

問題 No.1706 Many Bus Stops (hard)
ユーザー noya2noya2
提出日時 2021-10-08 23:24:54
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 3 ms / 2,000 ms
コード長 7,783 bytes
コンパイル時間 5,156 ms
コンパイル使用メモリ 288,956 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-07-23 07:25:20
合計ジャッジ時間 6,289 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge2
このコードへのチャレンジ
（要ログイン）

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 2 ms
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 2 ms
5,376 KB
testcase_04 AC 2 ms
5,376 KB
testcase_05 AC 2 ms
5,376 KB
testcase_06 AC 2 ms
5,376 KB
testcase_07 AC 2 ms
5,376 KB
testcase_08 AC 2 ms
5,376 KB
testcase_09 AC 2 ms
5,376 KB
testcase_10 AC 2 ms
5,376 KB
testcase_11 AC 2 ms
5,376 KB
testcase_12 AC 3 ms
5,376 KB
testcase_13 AC 2 ms
5,376 KB
testcase_14 AC 2 ms
5,376 KB
testcase_15 AC 2 ms
5,376 KB
testcase_16 AC 2 ms
5,376 KB
testcase_17 AC 2 ms
5,376 KB
testcase_18 AC 2 ms
5,376 KB
testcase_19 AC 2 ms
5,376 KB
testcase_20 AC 2 ms
5,376 KB
testcase_21 AC 2 ms
5,376 KB
testcase_22 AC 2 ms
5,376 KB
testcase_23 AC 2 ms
5,376 KB
testcase_24 AC 2 ms
5,376 KB
testcase_25 AC 2 ms
5,376 KB
testcase_26 AC 2 ms
5,376 KB
testcase_27 AC 2 ms
5,376 KB
testcase_28 AC 2 ms
5,376 KB
testcase_29 AC 2 ms
5,376 KB
testcase_30 AC 2 ms
5,376 KB
testcase_31 AC 2 ms
5,376 KB
testcase_32 AC 2 ms
5,376 KB
testcase_33 AC 2 ms
5,376 KB
testcase_34 AC 2 ms
5,376 KB
testcase_35 AC 2 ms
5,376 KB
testcase_36 AC 2 ms
5,376 KB
testcase_37 AC 2 ms
5,376 KB
testcase_38 AC 2 ms
5,376 KB
testcase_39 AC 2 ms
5,376 KB
testcase_40 AC 2 ms
5,376 KB
testcase_41 AC 2 ms
5,376 KB
testcase_42 AC 2 ms
5,376 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 <bits/stdc++.h>
/*
#include <boost/multiprecision/cpp_dec_float.hpp>
#include <boost/multiprecision/cpp_int.hpp>
namespace mp = boost::multiprecision;
using bint = mp::cpp_int;
*/
#include <atcoder/all>
#include <iostream>
#include <queue>
#include <stack>
#include <vector>
#include <string>
#include <set>
#include <map>
#include <random>
#include <bitset>
#define rep(i,n) for (int i = 0; i < int(n); ++i)
#define repp(i,n,m) for (int i = m; i < int(n); ++i)
#define repb(i,n) for (int i = int(n)-1; i >= 0; --i)
#define fi first
#define se second
#define endl "\n"
using namespace std;
using namespace atcoder;
using ll = long long;
using ld = long double;
using P = pair<int, int>;
using PL = pair<long long, long long>;
using Pxy = pair<long double, long double>;
using pil = pair<int,ll>;
using pli = pair<ll,int>;
const int INF = 1001001007;
const long long mod1 = 1000000007LL;
const long long mod2 = 998244353LL;
const ll inf = 2e18;
const ld pi = 3.14159265358979323;
const ld eps = 1e-7;
template<class T>istream &operator>>(istream &is,vector<T> &v){for(auto &e:v)is>>e;return is;}
template<class T>ostream &operator<<(ostream &os,const vector<T> &v){if(v.size()==0){os<<endl;}else{rep(i,v.size())os<<v[i]<<(i+1==v.size()?"\n":" ");}return os;}
template<class T>istream &operator>>(istream &is,vector<vector<T>> &v){for(auto &e:v)is>>e;return is;}
template<class T>ostream &operator<<(ostream &os,const vector<vector<T>> &v){if(v.size()==0){os<<endl;}else{for(auto &e:v)os<<e;}return os;}
template<typename T>bool range(T a,T b,T x){return (a<=x&&x<b);}
template<typename T>bool rrange(T a,T b,T c,T d,T x,T y){return (range(a,c,x)&&range(b,d,y));}
template<typename T>void rev(vector<T> &v){reverse(v.begin(),v.end());}
template<typename T>void sor(vector<T> &v, int f=0){sort(v.begin(),v.end());if(f!=0) rev(v);}
template<typename T>bool chmin(T &a,const T &b){if(a>b){a=b;return true;}return false;}
template<typename T>bool chmax(T &a,const T &b){if(a<b){a=b;return true;}return false;}
template<typename T>void eru(vector<T> &v){sor(v);v.erase(unique(v.begin(),v.end()),v.end());}
template<typename T>T cel(T a,T b){if(a%b==0)return a/b;return a/b +1;}
template<typename T,typename U>void out2(T a,U b){cout<<a<<" "<<b<<endl;}
template<typename T>void mout(T a){cout<<a.val()<<endl;}
void yes(){cout << "Yes" << endl;}
void no (){cout << "No" << endl;}
void yn (bool t){if(t)yes();else no();}
void dame(bool t){if(t){cout << -1 << endl;exit(0);}}
void dout(ld h=-1.23456789){cout<<setprecision(20);if(abs(h+1.23456789)>eps)cout<<h<<endl;}
void deb(ll h = INF-1) {cout << (h == INF-1 ? "!?" : to_string(h)) << endl;}
void revs(string &s) {reverse(s.begin(),s.end());}
vector<int> dx = {0,1,0,-1};
vector<int> dy = {1,0,-1,0};
const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string alp = "abcdefghijklmnopqrstuvwxyz";
const string num = "0123456789";

ll gcds(ll a, ll b){
    a = abs(a); b = abs(b);
    if (b == 0) return a;
    ll c = a % b;
    while (c != 0){
        a = b;
        b = c;
        c = a % b;
    }
    return b;
}

ll tentou(vector<ll> ar){
    int n = ar.size();
    set<ll> st;
    rep(i,n) st.insert(ar[i]);
    map<ll,int> mp;
    int ind = 0;
    for (ll x : st){
        mp[x] = ind;
        ind++;
    }
    fenwick_tree<ll> fw(ind);
    ll ans = 0;
    rep(i,n){
        int a = mp[ar[i]];
        ans += i - fw.sum(0,a+1);
        fw.add(a,1);
    }
    return ans;
}

/*
alias g++='g++ -I/mnt/c/Users/Owner/Desktop/ac-library'
*/

struct vs{
    vector<int> to;
};

template<typename T> struct Matrix{
    int rows;
    int cols;
    vector<vector<T>> m;
    Matrix (int h = 0, int w = 0, T init = T(0)) : m(h,vector<T>(w,init)), rows(h), cols(w){}
    Matrix (vector<vector<T>> _init) : m(_init), rows(_init.size()), cols(_init.at(0).size()){}
    vector<T>  operator[](const int i) const {return m[i];}
    vector<T>& operator[](const int i) {return m[i];}
    Matrix &operator+= (const Matrix &r){
        assert(this->rows == r.rows && this->cols == r.cols);
        for (int i = 0; i < r.rows; ++i){
            for (int j = 0; j < r.cols; ++j){
                m[i][j] += r.m[i][j];
            }
        }
        return *this;
    }
    Matrix &operator-= (const Matrix &r){
        assert(this->rows == r.rows && this->cols == r.cols);
        for (int i = 0; i < r.rows; ++i){
            for (int j = 0; j < r.cols; ++j){
                m[i][j] -= r.m[i][j];
            }
        }
        return *this;
    }
    Matrix &operator*= (const Matrix &r){
        assert(this->cols == r.rows);
        Matrix res(rows, r.cols);
        for (int i = 0; i < rows; ++i){
            for (int j = 0; j < r.cols; ++j){
                for (int k = 0; k < r.rows; ++k){
                    res[i][j] += m[i][k] * r.m[k][j];
                }
            }
        }
        return *this = res;
    }
    Matrix operator+ (const Matrix &r) const {return Matrix(*this) += r;}
    Matrix operator- (const Matrix &r) const {return Matrix(*this) -= r;}
    Matrix operator* (const Matrix &r) const {return Matrix(*this) *= r;}
    bool operator== (const Matrix &r){
        if (rows != r.rows || cols != r.cols) return false;
        for (int i = 0; i < r.rows; ++i){
            for (int j = 0; j < r.cols; ++j){
                if (m[i][j] != r.m[i][j]) return false;
            }
        }
        return true;
    }
    Matrix& operator+=(const T &r){
        for (int i = 0; i < rows; ++i){
            for (int j = 0; j < cols; ++j){
                m[i][j] += r;
            }
        }
        return *this;
    }
    Matrix& operator-=(const T &r){
        for (int i = 0; i < rows; ++i){
            for (int j = 0; j < cols; ++j){
                m[i][j] -= r;
            }
        }
        return *this;
    }
    Matrix& operator*=(const T &r){
        for (int i = 0; i < rows; ++i){
            for (int j = 0; j < cols; ++j){
                m[i][j] *= r;
            }
        }
        return *this;
    }
    Matrix& operator/=(const T &r){
        for (int i = 0; i < rows; ++i){
            for (int j = 0; j < cols; ++j){
                m[i][j] /= r;
            }
        }
        return *this;
    }
    Matrix operator+ (const T &r) const {return Matrix(*this) += r;}
    Matrix operator- (const T &r) const {return Matrix(*this) -= r;}
    Matrix operator* (const T &r) const {return Matrix(*this) *= r;}
    Matrix operator/ (const T &r) const {return Matrix(*this) /= r;}
    Matrix e(){
        assert(this->rows == this->cols);
        Matrix res(this->rows, this->rows);
        for (int i = 0; i < rows; ++i) res[i][i] = 1;
        return res;
    }
    Matrix matpow(ll n){
        assert(this->rows == this->cols);
        if (n == 0) return e();
        Matrix f = matpow(n / 2);
        Matrix ans = f * f;
        if (n % 2 == 1) ans *= *this;
        return ans;
    }
    // for T = int, long long, double, long double
    void show(){
        for (int i = 0; i < rows; ++i){
            for (int j = 0; j < cols; ++j){
                cout << m[i][j] << (j+1 == this->cols ? "\n" : " ");
            }
        }
    }
};

int main(){
    ll w, n, m; cin >> w >> n >> m;
    using mint = modint1000000007;
    mint a = mint(w-1) / mint(w*w);
    mint b = - mint(w-2) / mint(w*w);
    mint c = mint(w*w-w-w-1) / mint(w*w);
    mint d = mint(2) / mint(w);
    vector<vector<mint>> rec = {
        {0, 0, 0, a},
        {1, 0, 0, b},
        {0, 1, 0, c},
        {0, 0, 1, d}
    };
    Matrix<mint> p(rec);
    mint a0 = 1;
    mint a1 = a0 / w;
    mint a2 = a1 / w;
    mint a3 = a2 / w;
    vector<vector<mint>> _ini = {{a0, a1, a2, a3}};
    Matrix<mint> ini(_ini);
    Matrix<mint> g = ini * p.matpow(n);
    mint ans = mint(1) - g[0][0];
    mout(mint(1) - ans.pow(m));
}
0