Submission #1191758


Source Code Expand

// need
#include <iostream>
#include <algorithm>

// data structure
#include <bitset>
//#include <list>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <utility>
#include <vector>
//#include <array>
//#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <complex>
//#include <deque>
#include<valarray>

// stream
//#include <istream>
//#include <sstream>
//#include <ostream>

// etc
#include <cassert>
#include <functional>
#include <iomanip>
//#include <typeinfo>
#include <chrono>
#include <random>
#include <numeric>

#define INIT std::ios::sync_with_stdio(false);std::cin.tie(0);
#define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__);
template<typename T> void MACRO_VAR_Scan(T& t) { std::cin >> t; }
template<typename First, typename...Rest>void MACRO_VAR_Scan(First& first, Rest&...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); }
#define VEC_ROW(type, n, ...)std::vector<type> __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int i=0; i<n; ++i){MACRO_VEC_ROW_Scan(i, __VA_ARGS__);}
template<typename T> void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Init(int n, First& first, Rest&...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); }
template<typename T> void MACRO_VEC_ROW_Scan(int p, T& t) { std::cin >> t[p]; }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Scan(int p, First& first, Rest&...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); }
#define OUT(d) std::cout<<d;
#define FOUT(n, d) std::cout<<std::fixed<<std::setprecision(n)<<d;
#define SOUT(n, c, d) std::cout<<std::setw(n)<<std::setfill(c)<<d;
#define SP std::cout<<" ";
#define TAB std::cout<<"\t";
#define BR std::cout<<"\n";
#define ENDL std::cout<<std::endl;
#define FLUSH std::cout<<std::flush;
#define VEC(type, c, n) std::vector<type> c(n);for(auto& i:c)std::cin>>i;
#define MAT(type, c, m, n) std::vector<std::vector<type>> c(m, std::vector<type>(n));for(auto& r:c)for(auto& i:r)std::cin>>i;
#define ALL(a) (a).begin(),(a).end()
#define FOR(i, a, b) for(int i=(a);i<(b);++i)
#define RFOR(i, a, b) for(int i=(b)-1;i>=(a);--i)
#define REP(i, n) for(int i=0;i<int(n);++i)
#define RREP(i, n) for(int i=(n)-1;i>=0;--i)
#define FORLL(i, a, b) for(ll i=ll(a);i<ll(b);++i)
#define RFORLL(i, a, b) for(ll i=ll(b)-1;i>=ll(a);--i)
#define REPLL(i, n) for(ll i=0;i<ll(n);++i)
#define RREPLL(i, n) for(ll i=ll(n)-1;i>=0;--i)
#define PAIR std::pair<int, int>
#define PAIRLL std::pair<ll, ll>
#define IN(a, x, b) (a<=x && x<b)
#define SHOW(d) {std::cerr << #d << "\t:" << d << "\n";}
#define SHOWVECTOR(v) {std::cerr << #v << "\t:";for(const auto& xxx : v){std::cerr << xxx << " ";}std::cerr << "\n";}
#define SHOWVECTOR2(v) {std::cerr << #v << "\t:\n";for(const auto& xxx : v){for(const auto& yyy : xxx){std::cerr << yyy << " ";}std::cerr << "\n";}}
#define SHOWPAIR(p) {std::cerr << #p << "\t:(" << p.first << ",\t" << p.second << ")\n";}
#define SHOWPAIRVECTOR2(v) {std::cerr << #v << "\t:\n";for(const auto& xxx : v){for(const auto& yyy : xxx){std::cerr<<'('<<yyy.first<<", "<<yyy.second<<") ";}std::cerr << "\n";}}
#define SHOWPAIRVECTOR(v) {for(const auto& xxx:v){std::cerr<<'('<<xxx.first<<", "<<xxx.second<<") ";}std::cerr<<"\n";}
#define SHOWQUEUE(a) {std::queue<decltype(a.front())> tmp(a);std::cerr << #a << "\t:";for(int i=0; i<static_cast<int>(a.size()); ++i){std::cerr << tmp.front() << "\n";tmp.pop();}std::cerr << "\n";}
template<typename T> inline T CHMAX(T& a, const T b) { return a = (a < b) ? b : a; }
template<typename T> inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; }
#define EXCEPTION(msg) throw std::string("Exception : " msg " [ in ") + __func__ + " : " + std::to_string(__LINE__) + " lines ]"
#define TRY(cond, msg) try {if (cond) EXCEPTION(msg);}catch (std::string s) {std::cerr << s << std::endl;}
void CHECKTIME(std::function<void()> f) { auto start = std::chrono::system_clock::now(); f(); auto end = std::chrono::system_clock::now(); auto res = std::chrono::duration_cast<std::chrono::nanoseconds>((end - start)).count(); std::cerr << "[Time:" << res << "ns  (" << res / (1.0e9) << "s)]\n"; }

#define int ll
using ll = long long;
using ull = unsigned long long;
constexpr int INFINT = 1 << 30;                          // 1.07x10^ 9
constexpr int INFINT_LIM = (1LL << 31) - 1;              // 2.15x10^ 9
constexpr ll INFLL = 1LL << 60;                          // 1.15x10^18
constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62);  // 9.22x10^18
constexpr double EPS = 1e-7;
constexpr int MOD = 1000000007;
constexpr double PI = 3.141592653589793238462643383279;

template<class T>
class Matrix {
private:
	std::valarray<std::valarray<T>> mat;
public:
	Matrix(size_t m = 0, size_t n = 0, T init = 0) {
		if (n == 0) n = m;
		mat.resize(m);
		for (size_t i = 0; i < m; ++i) mat[i].resize(n, init);
	}
	Matrix(std::valarray<std::valarray<T>> a) { mat = a; }
	Matrix<T> init(size_t m = 0, size_t n = 0, T init = 0) {
		if (n == 0) n = m;
		mat.resize(m);
		for (size_t i = 0; i < m; ++i) mat[i].resize(n, init);
		return *this;
	}
	std::valarray<T>& operator[](size_t i) { return mat[i]; }
	const std::valarray<T>& operator[](size_t i) const { return mat[i]; }
	Matrix<T>& operator=(const Matrix<T>& r) {
		for (size_t i = 0; i < mat.size(); ++i) mat[i] = r[i];
		return *this;
	}
	bool operator==(const Matrix<T>& r) const {
		REP(i, mat.size()) REP(j, mat[0].size()) {
			if (mat[i][j] != r.mat[i][j]) return false;
		}
		return true;
	}
	bool operator!=(const Matrix<T>& r) const {
		return !(*this == r);
	}
	Matrix<T> operator+() const { return mat; }
	Matrix<T> operator-() const {
		Matrix<T> res(mat.size());
		for (size_t i = 0; i < mat.size(); ++i) res[i] = -mat[i];
		return res;
	}
	Matrix<T>& operator+=(const Matrix<T>& r) {
		for (size_t i = 0; i < mat.size(); ++i) mat[i] += r[i];
		return *this;
	}
	Matrix<T>& operator+=(const T& x) {
		for (size_t i = 0; i < mat.size(); ++i) mat[i] += x;
		return *this;
	}
	Matrix<T>& operator-=(const Matrix<T>& r) { return *this += -r; }
	Matrix<T>& operator-=(const T& x) { return *this += -x; }
	Matrix<T>& operator*=(const Matrix<T>& r) { // O(N^3)
		Matrix<T> res(mat.size(), r[0].size());
		for (size_t i = 0; i < mat.size(); ++i) {
			for (size_t j = 0; j < r[0].size(); ++j) {
				for (size_t k = 0; k < mat[0].size(); ++k) {
					res[i][j] += mat[i][k] * r[k][j];
				}
			}
		}
		return *this = res;
	}
	Matrix<T>& operator*=(const T& x) {
		for (size_t i = 0; i < mat.size(); ++i) mat[i] *= x;
		return *this;
	}
	Matrix<T>& operator^=(ll p) { // O(N^3 logP)
		Matrix<T> res(mat.size());
		for (size_t i = 0; i < mat.size(); ++i) res[i][i] = 1;
		while (p) {
			if (p & 1) res *= (*this);
			(*this) *= (*this);
			p >>= 1;
		}
		for (size_t i = 0; i < mat.size(); ++i) mat[i] = res[i];
		return *this;
	}
	Matrix<T> operator+(const Matrix& r) const {
		Matrix<T> res(mat);
		return res += r;
	}
	Matrix<T> operator-(const Matrix& r) const {
		Matrix<T> res(mat);
		return res -= r;
	}
	Matrix<T> operator*(const Matrix& r) const {
		Matrix<T> res(mat);
		return res *= r;
	}
	Matrix<T> operator*(const T& r) const {
		Matrix<T> res(mat);
		return res *= r;
	}
	Matrix<T> operator^(const int& p) const {
		Matrix<T> res(mat);
		return res ^= p;
	}
	Matrix<T> t() const {
		Matrix<T> res(mat[0].size(), mat.size(), 0);
		for (size_t i = 0; i < mat[0].size(); ++i) {
			for (size_t j = 0; j < mat.size(); ++j) {
				res[i][j] = mat[j][i];
			}
		}
		return res;
	}
	double det() const {
		TRY(mat.size() != mat[0].size(), "Matrix is not square.");
		Matrix<double> a(mat.size());
		for (size_t i = 0; i < mat.size(); ++i) {
			for (size_t j = 0; j < mat.size(); ++j) {
				a[i][j] = static_cast<double>(mat[i][j]);
			}
		}
		double d = 1;
		for (int i = 0; i < mat.size(); ++i) {
			int pivot = i;
			for (size_t j = i + 1; j < mat.size(); ++j) {
				if (std::abs(a[j][i]) > std::abs(a[pivot][i])) pivot = j;
			}
			std::swap(a[pivot], a[i]);
			d *= a[i][i] * ((i != pivot) ? -1 : 1);
			if (std::abs(a[i][i]) < EPS) break;
			for (size_t j = i + 1; j < mat.size(); ++j) {
				for (int k = mat.size() - 1; k >= i; --k) {
					a[j][k] -= a[i][k] * a[j][i] / a[i][i];
				}
			}
		}
		return d;
	}
	T tr() const {
		T res = 0;
		for (size_t i = 0; i < mat.size(); ++i) {
			res += mat[i][i];
		}
		return res;
	}
	size_t rank() const {
		Matrix<double> a(mat.size());
		for (size_t i = 0; i < mat.size(); ++i) {
			for (size_t j = 0; j < mat.size(); ++j) {
				a[i][j] = static_cast<double>(mat[i][j]);
			}
		}
		size_t r = 0;
		for (int i = 0; r < static_cast<int>(mat.size()) && i < static_cast<int>(mat[0].size()); ++i) {
			int pivot = r;
			for (size_t j = r + 1; j < mat.size(); ++j) {
				if (std::abs(a[j][i]) > std::abs(a[pivot][i])) pivot = j;
			}
			std::swap(a[pivot], a[r]);
			if (std::abs(a[r][i]) < EPS) continue;
			for (int k = mat[0].size() - 1; k >= i; --k) {
				a[r][k] /= a[r][i];
			}
			for (size_t j = r + 1; j < mat.size(); ++j) {
				for (size_t k = i; k < mat[0].size(); ++k) {
					a[j][k] -= a[r][k] * a[j][i];
				}
			}
			++r;
		}
		return r;
	}
	static Matrix<T> getUnit(size_t n) {
		Matrix<T> res(n, n, 0);
		for (size_t i = 0; i < n; ++i) res[i][i] = 1;
		return res;
	}
	void show() const {
		for (const auto& r : mat) {
			for (const auto & x : r) {
				std::cerr << x << "\t";
			}
			std::cerr << std::endl;
		}
	}
};

signed main() {
	INIT;
	VAR(int, n);
	Matrix<int> a(n, n), b(n, n), c(n, n);
	REP(i, n) REP(j, n) std::cin >> a[i][j];
	REP(i, n) REP(j, n) std::cin >> b[i][j];
	REP(i, n) REP(j, n) std::cin >> c[i][j];
	if (n == 1) {
		OUT(((a*b == c) ? "YES" : "NO"))BR;
		return 0;
	}
	std::random_device rnd;
	std::mt19937 mt(rnd());
	std::uniform_int_distribution<> rand(/* min */-1000, /* max */1000);
	REP(_, 100) {
		Matrix<int> x(n, 1);
		REP(i, n) x[i][0] = rand(mt);
		Matrix<int> p(a*(b*x));
		Matrix<int> q(c*x);
		if (p != q) {
			OUT("NO")BR;
			return 0;
		}
	}
	OUT("YES")BR;
	return 0;
}

Submission Info

Submission Time
Task D - A mul B Problem
User satanic0258
Language C++14 (Clang 3.8.0)
Score 99
Code Size 10311 Byte
Status TLE
Exec Time 5177 ms
Memory 39632 KB

Judge Result

Set Name Partial 1 All
Score / Max Score 99 / 99 0 / 1
Status
AC × 12
AC × 70
TLE × 2
Set Name Test Cases
Partial 1 0_00_sample_00, 0_10_Random_00_0001, 0_20_Same_00_0001, 0_20_Same_01_0001, 0_20_Same_02_0001, 0_20_Same_03_0001, 0_20_Same_04_0001, 0_20_Same_05_0001, 0_20_Same_06_0001, 0_20_Same_07_0001, 0_20_Same_08_0001, 0_20_Same_09_0001
All 0_00_sample_00, 0_10_Random_00_0001, 0_20_Same_00_0001, 0_20_Same_01_0001, 0_20_Same_02_0001, 0_20_Same_03_0001, 0_20_Same_04_0001, 0_20_Same_05_0001, 0_20_Same_06_0001, 0_20_Same_07_0001, 0_20_Same_08_0001, 0_20_Same_09_0001, 1_00_sample_01, 1_00_sample_02, 1_10_Random_01_0010, 1_10_Random_02_0010, 1_10_Random_03_0005, 1_10_Random_04_0038, 1_10_Random_05_0036, 1_10_Random_06_0021, 1_10_Random_07_0507, 1_10_Random_08_0922, 1_10_Random_09_0182, 1_10_Random_10_0923, 1_10_Random_11_0606, 1_10_Random_12_0921, 1_20_Same_10_0002, 1_20_Same_11_0003, 1_20_Same_12_0006, 1_20_Same_13_0077, 1_20_Same_14_0024, 1_20_Same_15_0082, 1_20_Same_16_0208, 1_20_Same_17_0497, 1_20_Same_18_0907, 1_20_Same_19_0126, 1_20_Same_20_0106, 1_20_Same_21_0756, 1_20_Same_22_1000, 1_20_Same_23_1000, 1_20_Same_24_1000, 1_20_Same_25_1000, 1_20_Same_26_1000, 1_30_Yes_00_0004, 1_30_Yes_01_0003, 1_30_Yes_02_0003, 1_30_Yes_03_0031, 1_30_Yes_04_0028, 1_30_Yes_05_0080, 1_30_Yes_06_0965, 1_30_Yes_07_0750, 1_30_Yes_08_0842, 1_30_Yes_09_0525, 1_30_Yes_10_0160, 1_30_Yes_11_0497, 1_30_Yes_12_1000, 1_30_Yes_13_1000, 1_30_Yes_14_1000, 1_30_Yes_15_1000, 1_30_Yes_16_1000, 1_40_Zero_00_0004, 1_40_Zero_01_0008, 1_40_Zero_02_0008, 1_40_Zero_03_0094, 1_40_Zero_04_0080, 1_40_Zero_05_0023, 1_40_Zero_06_0514, 1_40_Zero_07_0167, 1_40_Zero_08_0564, 1_40_Zero_09_0561, 1_40_Zero_10_0182, 1_40_Zero_11_0735
Case Name Status Exec Time Memory
0_00_sample_00 AC 1 ms 256 KB
0_10_Random_00_0001 AC 1 ms 256 KB
0_20_Same_00_0001 AC 1 ms 256 KB
0_20_Same_01_0001 AC 1 ms 256 KB
0_20_Same_02_0001 AC 1 ms 256 KB
0_20_Same_03_0001 AC 1 ms 256 KB
0_20_Same_04_0001 AC 1 ms 256 KB
0_20_Same_05_0001 AC 1 ms 256 KB
0_20_Same_06_0001 AC 1 ms 256 KB
0_20_Same_07_0001 AC 1 ms 256 KB
0_20_Same_08_0001 AC 1 ms 256 KB
0_20_Same_09_0001 AC 1 ms 256 KB
1_00_sample_01 AC 1 ms 256 KB
1_00_sample_02 AC 2 ms 256 KB
1_10_Random_01_0010 AC 1 ms 256 KB
1_10_Random_02_0010 AC 1 ms 256 KB
1_10_Random_03_0005 AC 1 ms 256 KB
1_10_Random_04_0038 AC 4 ms 384 KB
1_10_Random_05_0036 AC 4 ms 384 KB
1_10_Random_06_0021 AC 2 ms 256 KB
1_10_Random_07_0507 AC 494 ms 10444 KB
1_10_Random_08_0922 AC 1624 ms 33696 KB
1_10_Random_09_0182 AC 65 ms 1648 KB
1_10_Random_10_0923 AC 1135 ms 33792 KB
1_10_Random_11_0606 AC 490 ms 14744 KB
1_10_Random_12_0921 AC 1132 ms 33648 KB
1_20_Same_10_0002 AC 1 ms 256 KB
1_20_Same_11_0003 AC 1 ms 256 KB
1_20_Same_12_0006 AC 1 ms 256 KB
1_20_Same_13_0077 AC 13 ms 512 KB
1_20_Same_14_0024 AC 2 ms 256 KB
1_20_Same_15_0082 AC 14 ms 512 KB
1_20_Same_16_0208 AC 203 ms 2056 KB
1_20_Same_17_0497 AC 555 ms 10072 KB
1_20_Same_18_0907 AC 1857 ms 32588 KB
1_20_Same_19_0126 AC 77 ms 964 KB
1_20_Same_20_0106 AC 53 ms 780 KB
1_20_Same_21_0756 AC 1288 ms 22824 KB
1_20_Same_22_1000 AC 1486 ms 39632 KB
1_20_Same_23_1000 AC 1485 ms 39632 KB
1_20_Same_24_1000 AC 4412 ms 39632 KB
1_20_Same_25_1000 AC 4989 ms 39632 KB
1_20_Same_26_1000 TLE 5177 ms 39632 KB
1_30_Yes_00_0004 AC 2 ms 256 KB
1_30_Yes_01_0003 AC 2 ms 256 KB
1_30_Yes_02_0003 AC 2 ms 256 KB
1_30_Yes_03_0031 AC 6 ms 256 KB
1_30_Yes_04_0028 AC 6 ms 256 KB
1_30_Yes_05_0080 AC 26 ms 512 KB
1_30_Yes_06_0965 AC 4617 ms 36900 KB
1_30_Yes_07_0750 AC 2597 ms 22480 KB
1_30_Yes_08_0842 AC 3383 ms 28204 KB
1_30_Yes_09_0525 AC 1258 ms 11180 KB
1_30_Yes_10_0160 AC 124 ms 1356 KB
1_30_Yes_11_0497 AC 1139 ms 10072 KB
1_30_Yes_12_1000 AC 4179 ms 39632 KB
1_30_Yes_13_1000 AC 4172 ms 39632 KB
1_30_Yes_14_1000 AC 4164 ms 39632 KB
1_30_Yes_15_1000 AC 4968 ms 39632 KB
1_30_Yes_16_1000 TLE 5064 ms 39632 KB
1_40_Zero_00_0004 AC 2 ms 256 KB
1_40_Zero_01_0008 AC 2 ms 256 KB
1_40_Zero_02_0008 AC 2 ms 256 KB
1_40_Zero_03_0094 AC 38 ms 680 KB
1_40_Zero_04_0080 AC 26 ms 512 KB
1_40_Zero_05_0023 AC 5 ms 256 KB
1_40_Zero_06_0514 AC 1208 ms 10768 KB
1_40_Zero_07_0167 AC 135 ms 1540 KB
1_40_Zero_08_0564 AC 1460 ms 12876 KB
1_40_Zero_09_0561 AC 1220 ms 12732 KB
1_40_Zero_10_0182 AC 159 ms 1660 KB
1_40_Zero_11_0735 AC 952 ms 21520 KB