#509798 (C++17) No.1112 冥界の音楽

• 問題: No.1112 冥界の音楽
• ユーザー: hotman78
• 提出日時: 2020-07-10 21:58:27
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 12 ms / 2,000 ms
• コード長: 8,074 bytes
• コンパイル時間: 6,566 ms
• コンパイル使用メモリ: 413,708 KB
• 実行使用メモリ: 6,820 KB
• 最終ジャッジ日時: 2024-11-15 04:53:12
• 合計ジャッジ時間: 6,237 ms
• ジャッジサーバーID （参考情報）: judge5 / judge3

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 6,820 KB
testcase_01	AC	2 ms; 6,816 KB
testcase_02	AC	2 ms; 6,816 KB
testcase_03	AC	2 ms; 6,820 KB
testcase_04	AC	2 ms; 6,820 KB
testcase_05	AC	2 ms; 6,816 KB
testcase_06	AC	2 ms; 6,816 KB
testcase_07	AC	2 ms; 6,816 KB
testcase_08	AC	2 ms; 6,820 KB
testcase_09	AC	2 ms; 6,820 KB
testcase_10	AC	2 ms; 6,816 KB
testcase_11	AC	2 ms; 6,816 KB
testcase_12	AC	2 ms; 6,820 KB
testcase_13	AC	2 ms; 6,816 KB
testcase_14	AC	5 ms; 6,816 KB
testcase_15	AC	3 ms; 6,816 KB
testcase_16	AC	2 ms; 6,816 KB
testcase_17	AC	3 ms; 6,820 KB
testcase_18	AC	3 ms; 6,816 KB
testcase_19	AC	2 ms; 6,816 KB
testcase_20	AC	3 ms; 6,816 KB
testcase_21	AC	4 ms; 6,816 KB
testcase_22	AC	4 ms; 6,820 KB
testcase_23	AC	2 ms; 6,820 KB
testcase_24	AC	2 ms; 6,816 KB
testcase_25	AC	2 ms; 6,820 KB
testcase_26	AC	2 ms; 6,820 KB
testcase_27	AC	2 ms; 6,816 KB
testcase_28	AC	2 ms; 6,820 KB
testcase_29	AC	2 ms; 6,820 KB
testcase_30	AC	4 ms; 6,816 KB
testcase_31	AC	2 ms; 6,816 KB
testcase_32	AC	5 ms; 6,816 KB
testcase_33	AC	2 ms; 6,820 KB
testcase_34	AC	2 ms; 6,816 KB
testcase_35	AC	2 ms; 6,816 KB
testcase_36	AC	12 ms; 6,816 KB

コンパイルメッセージ

main.cpp:54:12: warning: use of 'auto' in parameter declaration only available with '-std=c++20' or '-fconcepts'
   54 | bool chmin(auto& s,const auto& t){bool res=s>t;s=min(s,t);return res;}
      |            ^~~~
main.cpp:54:26: warning: use of 'auto' in parameter declaration only available with '-std=c++20' or '-fconcepts'
   54 | bool chmin(auto& s,const auto& t){bool res=s>t;s=min(s,t);return res;}
      |                          ^~~~
main.cpp:55:12: warning: use of 'auto' in parameter declaration only available with '-std=c++20' or '-fconcepts'
   55 | bool chmax(auto& s,const auto& t){bool res=s<t;s=max(s,t);return res;}
      |            ^~~~
main.cpp:55:26: warning: use of 'auto' in parameter declaration only available with '-std=c++20' or '-fconcepts'
   55 | bool chmax(auto& s,const auto& t){bool res=s<t;s=max(s,t);return res;}
      |                          ^~~~

ソースコード

#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC push_options
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#include<bits/stdc++.h>
#include <xmmintrin.h>
#include <immintrin.h>
using namespace::std;
__attribute__((constructor))void init(){cin.tie(0);ios::sync_with_stdio(false);cout<<fixed<<setprecision(15);}
#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/priority_queue.hpp>
#include<ext/pb_ds/tag_and_trait.hpp>
// #include <boost/multiprecision/cpp_dec_float.hpp>
// #include <boost/multiprecision/cpp_int.hpp>
// namespace mp = boost::multiprecision;
// typedef mp::number<mp::cpp_dec_float<0>> cdouble;
// typedef mp::cpp_int cint;
template<typename T>using pbds=__gnu_pbds::tree<T,__gnu_pbds::null_type,less<T>,__gnu_pbds::rb_tree_tag,__gnu_pbds::tree_order_statistics_node_update>;
template<typename T>using pbds_map=__gnu_pbds::tree<T,T,less<T>,__gnu_pbds::rb_tree_tag,__gnu_pbds::tree_order_statistics_node_update>;
template<typename T,typename E>using hash_map=__gnu_pbds::gp_hash_table<T,E>;
template<typename T>using pqueue =__gnu_pbds::priority_queue<T, greater<T>,__gnu_pbds::rc_binomial_heap_tag>;
typedef long long lint;
#define INF (1LL<<60)
#define IINF (1<<30)
#define LINF (9223372036854775807LL)
#define EPS (1e-10)
#define endl ('\n')
#define MOD 1000000007LL
//#define MOD 998244353LL
//#define MOD 18446744069414584321ULL
typedef vector<lint> vec;
typedef vector<vector<lint>> mat;
typedef vector<vector<vector<lint>>> mat3;
typedef vector<string> svec;
typedef vector<vector<string>> smat;
template<typename T>inline void numout(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<<i<INF/2?i:"INF";f=1;}cout<<endl;}
template<typename T>inline void numout2(T t){for(auto i:t)numout(i);}
template<typename T>inline void output(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<<i;f=1;}cout<<endl;}
template<typename T>inline void output2(T t){for(auto i:t)output(i);}
template<typename T>inline void _output(T t){bool f=0;for(lint i=0;i<t.size();i++){cout<<f?"":" "<<t[i];f=1;}cout<<endl;}
template<typename T>inline void _output2(T t){for(lint i=0;i<t.size();i++)output(t[i]);}
#define rep(i,n) for(lint i=0;i<lint(n);++i)
#define repi(i,a,b) for(lint i=lint(a);i<(lint)(b);++i)
#define rrep(i,n) for(lint i=lint(n)-1;i>=0;--i)
#define rrepi(i,a,b) for(lint i=lint(b)-1;i>=lint(a);--i)
#define irep(i) for(lint i=0;;++i)
#define all(n) begin(n),end(n)
#define dist(a,b,c,d) sqrt(pow(a-c,2)+pow(b-d,2))
//inline lint gcd(lint A,lint B){return B?gcd(B,A%B):A;}
//inline lint lcm(lint A,lint B){return A/gcd(A,B)*B;}
// inline cint cgcd(cint A,cint B){return B?cgcd(B,A%B):A;}
// inline cint clcm(cint A,cint B){return A/cgcd(A,B)*B;}
bool chmin(auto& s,const auto& t){bool res=s>t;s=min(s,t);return res;}
bool chmax(auto& s,const auto& t){bool res=s<t;s=max(s,t);return res;}
const vector<lint> dx={1,0,-1,0,1,1,-1,-1};
const vector<lint> dy={0,1,0,-1,1,-1,1,-1};
#define SUM(v) accumulate(all(v),0LL)
auto call=[](auto f,auto... args){return f(f,args...);};
template<typename T,typename ...Args>auto make_vector(T x,int arg,Args ...args){if constexpr(sizeof...(args)==0)return vector<T>(arg,x);else return vector(arg,make_vector<T>(x,args...));}

class mint {
  using u64 = std::uint_fast64_t;
    public:
    u64 a;
    constexpr mint(const long long x = 0)noexcept:a(x>=0?x%get_mod():get_mod()-(-x)%get_mod()){}
    constexpr u64 &value()noexcept{return a;}
    constexpr const u64 &value() const noexcept {return a;}
    constexpr mint operator+(const mint rhs)const noexcept{return mint(*this) += rhs;}
    constexpr mint operator-(const mint rhs)const noexcept{return mint(*this)-=rhs;}
    constexpr mint operator*(const mint rhs) const noexcept {return mint(*this) *= rhs;}
    constexpr mint operator/(const mint rhs) const noexcept {return mint(*this) /= rhs;}
    constexpr mint &operator+=(const mint rhs) noexcept {
        a += rhs.a;
        if (a >= get_mod())a -= get_mod();
        return *this;
    }
    constexpr mint &operator-=(const mint rhs) noexcept {
        if (a<rhs.a)a += get_mod();
        a -= rhs.a;
        return *this;
    }
    constexpr mint &operator*=(const mint rhs) noexcept {
        a = a * rhs.a % get_mod();
        return *this;
    }
    constexpr mint operator++(int n) noexcept {
        a += 1;
        if (a >= get_mod())a -= get_mod();
        return *this;
    }
    constexpr mint operator--(int n) noexcept {
        if (a<1)a += get_mod();
        a -= 1;
        return *this;
    }
    constexpr mint &operator/=(mint rhs) noexcept {
        u64 exp=get_mod()-2;
        while (exp) {
            if (exp % 2) {
                *this *= rhs;
            }
            rhs *= rhs;
            exp /= 2;
        }
        return *this;
    }
    constexpr bool operator==(mint x) noexcept {
        return a==x.a;
    }
    constexpr bool operator!=(mint x) noexcept {
        return a!=x.a;
    }
	constexpr bool operator<(mint x) noexcept {
        return a<x.a;
    }
	constexpr bool operator>(mint x) noexcept {
        return a>x.a;
    }
	constexpr bool operator<=(mint x) noexcept {
        return a<=x.a;
    }
	constexpr bool operator>=(mint x) noexcept {
        return a>=x.a;
    }
    constexpr static int root(){
        mint root = 2;
        while(root.pow((get_mod()-1)>>1).a==1)root++;
        return root.a;
    }
    constexpr mint pow(long long n){
        long long x=a;
        mint ret = 1;
        while(n>0) {
            if(n&1)(ret*=x);
            (x*=x)%=get_mod();
            n>>=1;
        }
        return ret;
    }
    constexpr mint inv(){
        return pow(get_mod()-2);
    }
    static vector<mint> fac,ifac;
    static bool init;
    constexpr static int mx=10000001;
    void build(){
        init=0;
        fac.resize(mx);
        ifac.resize(mx);
        fac[0]=1,ifac[0]=1;
        for(int i=1;i<mx;i++)fac[i]=fac[i-1]*i;
        ifac[mx-1]=fac[mx-1].inv();
        for(int i=mx-2;i>=0;i--)ifac[i]=ifac[i+1]*(i+1);
    }
    mint comb(lint b){
        if(init)build();
        if(a==0&&b==0)return 1;
        if((lint)a<b||a<0)return 0;
        return fac[a]*ifac[a-b]*ifac[b];
    }
    mint fact(){
        if(init)build();
        return fac[a];
    }
    mint fact_inv(){
        if(init)build();
        return ifac[a];
    }
    friend ostream& operator<<(ostream& lhs, const mint& rhs) noexcept {
        lhs << rhs.a;
        return lhs;
    }
    friend istream& operator>>(istream& lhs,mint& rhs) noexcept {
        lhs >> rhs.a;
        return lhs;
    }
    constexpr static u64 get_mod(){return MOD;}
};
vector<mint> mint::fac;
vector<mint> mint::ifac;
bool mint::init=1;

template<typename T=lint>
vector<vector<T>> mul(const vector<vector<T>>& s,const vector<vector<T>>& t){
    lint n=s.size();
    vector<vector<T>> res(n,vector<T>(n,0));
    rep(i,n)rep(j,n)rep(k,n){
        res[i][j]+=s[i][k]*t[k][j];
    }
    return res;
}
template<typename T=lint>
vector<vector<T>> mul(const vector<pair<T,T>>& s,const vector<vector<T>>& t){
    lint n=s.size();
    vector<vector<T>> res(n,vector<T>(n,0));
    rep(i,n)rep(j,n)rep(k,n){
        res[i][j]+=s[i][k]*t[k][j];
    }
    return res;
}
template<typename T=lint>
vector<vector<T>> pow(const vector<vector<T>>& s,const lint& n){
    if(n==0){
        lint sz=s.size();
        vector<vector<T>> res(sz,vector<T>(sz,0));
        rep(i,sz)res[i][i]=1;
        return res;
    }
    if(n==1)return s;
    if(n%2==0){
        vector<vector<T>> tmp=pow<T>(s,n/2);
        return mul<T>(tmp,tmp);
    }else{
        return mul<T>(s,pow(s,n-1));
    }
}
template<typename T=lint>
vector<T> conv(vector<T> a,vector<vector<T>> b){
    lint n=a.size();
    vector<T> res(n,0);
    rep(i,n)rep(j,n)res[i]+=a[j]*b[i][j];
    return res;
}

int main(){
	lint n,m,k;
	cin>>k>>m>>n;
	vector<vector<mint>> g(k*k,vector<mint>(k*k,0));
	rep(i,m){
		lint p,q,r;
		cin>>p>>q>>r;
		p--;q--;r--;
		g[p*k+q][q*k+r]=1;
	}
	auto v=pow(g,n-2);
	mint ans=0;
	rep(i,k)rep(j,k){
		ans+=v[i][j*k];
	}
	cout<<ans<<endl;
}