結果

問題 No.1112 冥界の音楽
ユーザー ゆにぽけゆにぽけ
提出日時 2023-10-09 12:17:07
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
TLE  
実行時間 -
コード長 6,396 bytes
コンパイル時間 1,758 ms
コンパイル使用メモリ 138,872 KB
実行使用メモリ 8,760 KB
最終ジャッジ日時 2023-10-09 12:17:18
合計ジャッジ時間 10,881 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge12
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 30 ms
8,760 KB
testcase_01 AC 2 ms
4,376 KB
testcase_02 AC 2 ms
4,380 KB
testcase_03 AC 1 ms
4,380 KB
testcase_04 AC 1 ms
4,376 KB
testcase_05 AC 1 ms
4,380 KB
testcase_06 AC 142 ms
4,376 KB
testcase_07 AC 2 ms
4,380 KB
testcase_08 AC 1 ms
4,376 KB
testcase_09 AC 16 ms
4,376 KB
testcase_10 AC 2 ms
4,380 KB
testcase_11 AC 36 ms
4,380 KB
testcase_12 AC 2 ms
4,384 KB
testcase_13 AC 2 ms
4,380 KB
testcase_14 AC 898 ms
4,384 KB
testcase_15 AC 140 ms
4,380 KB
testcase_16 AC 2 ms
4,376 KB
testcase_17 AC 205 ms
4,376 KB
testcase_18 AC 180 ms
4,380 KB
testcase_19 AC 1 ms
4,380 KB
testcase_20 AC 24 ms
4,376 KB
testcase_21 AC 840 ms
4,380 KB
testcase_22 AC 811 ms
4,380 KB
testcase_23 AC 126 ms
4,376 KB
testcase_24 AC 2 ms
4,380 KB
testcase_25 AC 1 ms
4,376 KB
testcase_26 AC 1 ms
4,380 KB
testcase_27 AC 1 ms
4,376 KB
testcase_28 AC 9 ms
4,380 KB
testcase_29 AC 2 ms
4,376 KB
testcase_30 AC 586 ms
4,376 KB
testcase_31 AC 7 ms
4,380 KB
testcase_32 AC 664 ms
4,380 KB
testcase_33 AC 1 ms
4,384 KB
testcase_34 AC 2 ms
4,376 KB
testcase_35 AC 2 ms
4,380 KB
testcase_36 TLE -
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<iostream>
#include<vector>
#include<algorithm>
#include<cstring>
#include<cassert>
#include<cmath>
#include<ctime>
#include<iomanip>
#include<numeric>
#include<stack>
#include<queue>
#include<map>
#include<unordered_map>
#include<set>
#include<unordered_set>
#include<bitset>
#include<random>
using namespace std;
template<int m> struct modint
{
	private:
	unsigned int value;
	static constexpr int mod() {return m;}

	public:
	constexpr modint(const long long x = 0) noexcept
	{
		long long y = x;
		if(y < 0 || y >= mod())
		{
			y %= mod();
			if(y < 0) y += mod();
		}
		value = (unsigned int)y;
	}
	constexpr unsigned int val() noexcept {return value;}
	constexpr modint &operator+=(const modint &other) noexcept
	{
		value += other.value;
		if(value >= mod()) value -= mod();
		return *this;
	}
	constexpr modint &operator-=(const modint &other) noexcept
	{
		unsigned int x = value;
		if(x < other.value) x += mod();
		x -= other.value;
		value = x;
		return *this;
	}
	constexpr modint &operator*=(const modint &other) noexcept
	{
		unsigned long long x = value;
		x *= other.value;
		value = (unsigned int) (x % mod());
		return *this;
	}
	constexpr modint &operator/=(const modint &other) noexcept
	{
		return *this *= other.inverse();
	}
	constexpr modint inverse() const noexcept
	{
		assert(value);
		long long a = value,b = mod(),x = 1,y = 0;
		while(b)
		{
			long long q = a/b;
			a -= q*b; swap(a,b);
			x -= q*y; swap(x,y);
		}
		return modint(x);
	}
	constexpr modint power(long long N) const noexcept
	{
		assert(N >= 0);
		modint p = *this,ret = 1;
		while(N)
		{
			if(N & 1) ret *= p;
			p *= p;
			N >>= 1;
		}
		return ret;
	}
	constexpr modint operator+() {return *this;}
	constexpr modint operator-() {return modint() - *this;}
	constexpr modint &operator++(int) noexcept {return *this += 1;}
	constexpr modint &operator--(int) noexcept {return *this -= 1;}
	friend modint operator+(const modint& lhs, const modint& rhs) {return modint(lhs) += rhs;}
	friend modint operator-(const modint& lhs, const modint& rhs) {return modint(lhs) -= rhs;}
	friend modint operator*(const modint& lhs, const modint& rhs) {return modint(lhs) *= rhs;}
	friend modint operator/(const modint& lhs, const modint& rhs) {return modint(lhs) /= rhs;}
	friend ostream &operator<<(ostream &os,const modint &x) {return os << x.value;}
};
//using mint = modint<998244353>;
using mint = modint<1000000007>;

template<class T> struct mat
{
    private:
    vector<vector<T>> m;
    int h,w;

    public:
    constexpr mat(int _h,int _w,T x = 0) noexcept {m.assign(_h,vector<T>(_w,x));h = _h,w = _w;}

    constexpr vector<T> operator[](const int i) const {assert(0 <= i && i < h); return m[i];}

    constexpr vector<T> &operator[](const int i) noexcept {assert(0 <= i && i < h); return m[i];}

    constexpr mat operator+(mat &other) noexcept
    {
        mat tmp = *this;
        return tmp += other;
    }

    constexpr mat operator-(mat &other) noexcept
    {
        mat tmp = *this;
        return tmp -= other;
    }

    constexpr mat operator*(mat &other) noexcept
    {
        mat tmp = *this;
        return tmp *= other;
    }

    constexpr mat &operator+=(mat &other) noexcept
    {
        assert(h == other.h && w == other.w);

        for(int i = 0;i < h;i++)for(int j = 0;j < w;j++) m[i][j] += other[i][j];

        return *this;
    }

    constexpr mat &operator-=(mat &other) noexcept
    {
        assert(h == other.h && w == other.w);

        for(int i = 0;i < h;i++)for(int j = 0;j < w;j++) m[i][j] -= other[i][j];

        return *this;
    }

    constexpr mat &operator*=(mat &other) noexcept
    {
        assert(w == other.h);
        mat tmp(h,other.w);
        for(int i = 0;i < h;i++)for(int j = 0;j < other.w;j++)for(int k = 0;k < w;k++) tmp[i][j] += m[i][k]*other[k][j];

        for(int i = 0;i < h;i++)
        {
            m[i].resize(other.w);
            for(int j = 0;j < other.w;j++) m[i][j] = tmp[i][j];
        }

        return *this;
    }

    constexpr mat power(long n) noexcept
    {
        assert(h == w);
        assert(n >= 0);
        mat res(h,w);
        for(int i = 0;i < h;i++) res[i][i] = 1;

        mat p = *this;
        long ex = n;

        while(ex)
        {
            if(ex & 1) res *= p;
            p *= p;
            ex >>= 1;
        }

        return res;
    }

    constexpr bool operator==(mat &other) noexcept
    {
        assert(h == other.h && w == other.w);
        bool res = true;
        for(int i = 0;i < h;i++)for(int j = 0;j < w;j++) if(m[i][j] != other[i][j]) res = false;

        return res;
    }

    constexpr bool operator!=(mat &other) noexcept
    {
        assert(h == other.h && w == other.w);
        bool res = false;
        for(int i = 0;i < h;i++)for(int j = 0;j < w;j++) if(m[i][j] != other[i][j]) res = true;

        return res;
    }

    template<class S> friend ostream &operator<<(ostream &os,const mat<S> &x);
};

template<class S> ostream &operator<<(ostream &os,const mat<S> &x)
{
    for(int i = 0;i < x.h;i++)for(int j = 0;j < x.w;j++)
    {
        os << x[i][j] << (j+1 == x.w && i+1 < x.h ? "\n":" ");
        return os;
    }
}
int K,M;
long long N;
map<vector<int>,int> ID;
void solve()
{
	cin >> K >> M >> N;
	int L = K*K*K;
	/*for(int i = 0;i < K;i++)for(int j = 0;j < K;j++)for(int k = 0;k < K;k++)
	{
		vector<int> cur = {i,j,k};
		ID[cur] = id++;
	}*/
	mat<mint> MAT(L,L);
	/*for(int i = 0;i < K;i++)for(int j = 0;j < K;j++)for(int k = 0;k < K;k++)
	{
		vector<int> a = {i,j,k};
		int cur = ID[a];
		for(int l = 0;l < K;l++)
		{
			vector<int> b = {j,k,l};
			int nxt = ID[b];
			MAT[nxt][cur] = 1;
		}
	}*/
	auto id = [&](int i,int j,int k) -> int
	{
		return K*K*i + K*j +k;
	};
	mat<mint> S(L,1);
	for(int i = 0;i < M;i++)
	{
		int P,Q,R;
		cin >> P >> Q >> R;
		P--; Q--; R--;
		int cur = id(P,Q,R);
		/*vector<int> a = {P,Q,R};
		int cur = ID[a];*/
		if(P == 0) S[cur][0] = 1;
		for(int j = 0;j < K;j++)
		{
			/*vector<int> b = {j,P,Q};
			int prev = ID[b];*/
			int prev = id(j,P,Q);
			MAT[cur][prev] = 1;
		}
	}
	mat<mint> MS = MAT.power(N-3) * S;
	mint ans = 0;
	for(int i = 0;i < K;i++)for(int j = 0;j < K;j++)
	{
		int cur = id(i,j,0);
		/*vector<int> a = {i,j,0};
		int cur = ID[a];*/
		ans += MS[cur][0];
	}

	cout << ans << endl;
}
int main()
{
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	int tt = 1;
	//cin >> tt;
	while(tt--) solve();
}
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