結果

問題 No.1141 田グリッド
ユーザー QCFium
提出日時 2020-07-31 21:30:13
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 51 ms / 2,000 ms
コード長 3,264 bytes
コンパイル時間 1,435 ms
コンパイル使用メモリ 170,540 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-07-06 16:30:06
合計ジャッジ時間 3,922 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge2
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 31
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>

int ri() {
	int n;
	scanf("%d", &n);
	return n;
}

#define MOD 1000000007

template<int mod>
struct ModInt{
	int x;
	ModInt () : x(0) {}
	ModInt (int64_t x) : x(x >= 0 ? x % mod : (mod - -x % mod) % mod) {}
	ModInt &operator += (const ModInt &p){
		if ((x += p.x) >= mod) x -= mod;
		return *this;
	}
	ModInt &operator -= (const ModInt &p) {
		if ((x += mod - p.x) >= mod) x -= mod;
		return *this;
	}
	ModInt &operator *= (const ModInt &p) {
		x = (int64_t) x * p.x % mod;
		return *this;
	}
	ModInt &operator /= (const ModInt &p) {
		*this *= p.inverse();
		return *this;
	}
	ModInt &operator ^= (int64_t p) {
		ModInt res = 1;
		for (; p; p >>= 1) {
			if (p & 1) res *= *this;
			*this *= *this;
		}
		return *this = res;
	}
	ModInt operator - () const { return ModInt(-x); }
	ModInt operator + (const ModInt &p) const { return ModInt(*this) += p; }
	ModInt operator - (const ModInt &p) const { return ModInt(*this) -= p; }
	ModInt operator * (const ModInt &p) const { return ModInt(*this) *= p; }
	ModInt operator / (const ModInt &p) const { return ModInt(*this) /= p; }
	ModInt operator ^ (int64_t p) const { return ModInt(*this) ^= p; }
	bool operator == (const ModInt &p) const { return x == p.x; }
	bool operator != (const ModInt &p) const { return x != p.x; }
	explicit operator int() const { return x; }
	ModInt &operator = (const int p) { x = p; return *this;}
	ModInt inverse() const {
		int a = x, b = mod, u = 1, v = 0, t;
		while (b > 0) {
			t = a / b;
			a -= t * b;
			std::swap(a, b);
			u -= t * v;
			std::swap(u, v);
		}
		return ModInt(u);
	}
	friend std::ostream & operator << (std::ostream &stream, const ModInt<mod> &p) {
		return stream << p.x;
	}
	friend std::istream & operator >> (std::istream &stream, ModInt<mod> &a) {
		int64_t x;
		stream >> x;
		a = ModInt<mod>(x);
		return stream;
	}
};
typedef ModInt<1000000007> mint;

template<int mod> struct MComb {
	using mint = ModInt<mod>;
	std::vector<mint> fact;
	std::vector<mint> inv;
	MComb (int n) { // O(n + log(mod))
		fact = std::vector<mint>(n + 1, 1);
		for (int i = 1; i <= n; i++) fact[i] = fact[i - 1] * mint(i);
		inv.resize(n + 1);
		inv[n] = fact[n] ^ (mod - 2);
		for (int i = n; i--; ) inv[i] = inv[i + 1] * mint(i + 1);
	}
	mint ncr(int n, int r) {
		return fact[n] * inv[r] * inv[n - r];
	}
	mint npr(int n, int r) {
		return fact[n] * inv[n - r];
	}
	mint nhr(int n, int r) {
		assert(n + r - 1 < (int) fact.size());
		return ncr(n + r - 1, r);
	}
};


struct M {
	int z = 0;
	mint x = 1;
	M () = default;
	M (mint n) {
		if (n == 0) z++;
		else x = n;
	}
	M (int z, mint x) : z(z), x(x) {}
	M operator * (const M &rhs) {
		return {z + rhs.z, x * rhs.x};
	}
	M operator / (const M &rhs) {
		return {z - rhs.z, x / rhs.x};
	}
	mint val() {
		return z ? 0 : x;
	}
};

int main() {
	int h = ri();
	int w = ri();
	M a[h][w];
	for (auto &i : a) for (auto &j : i) j = (mint) ri();
	M r0[h];
	M r1[w];
	for (int i = 0; i < h; i++) for (int j = 0; j < w; j++) {
		r0[i] = r0[i] * a[i][j];
		r1[j] = r1[j] * a[i][j];
	}
	M all;
	for (auto &i : a) for (auto j : i) all = all * j;
	int q = ri();
	for (int i = 0; i < q; i++) {
		int x = ri() - 1;
		int y = ri() - 1;
		printf("%d\n", (int) (all / r0[x] / r1[y] * a[x][y]).val());
	}
	
	return 0;
}
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