結果

問題 No.1141 田グリッド
ユーザー bond_cmprogbond_cmprog
提出日時 2020-07-31 22:19:11
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 235 ms / 2,000 ms
コード長 5,933 bytes
コンパイル時間 2,682 ms
コンパイル使用メモリ 211,312 KB
最終ジャッジ日時 2025-01-12 10:33:54
ジャッジサーバーID
（参考情報） 		judge3 / judge4
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>
#define REP(i, n) for(int i = 0;i < n;i++)
#define ll long long
using namespace std;
typedef pair<int, int> P;
typedef pair<ll,ll> LP;
const int dx[8] = {1, 0, -1, 0, 1, -1, -1, 1};
const int dy[8] = {0, 1, 0, -1, 1, 1, -1, -1};
const int INF = 1000000000;
const ll LINF = 1000000000000000000;//1e18
const ll MOD = 1000000007;
const ll MOD2 = 998244353;
const double PI = acos(-1.0);
const double EPS = 1e-10;

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; }
//template<class T> inline void add(T &a, T b){a = ((a+b) % MOD + MOD) % MOD;};

/*  ----------------------- DEBUG用 ---------------------------- */
void debug(){ cerr << "\n"; }
template <class Head, class... Tail>
void debug(Head && head, Tail &&... tail){
    cerr << head;
    if(sizeof...(Tail) > 0){
        cerr << ", ";
    }
    debug(std::move(tail)...);
}
template <class T>
void debug(vector<T> & vec){
    cerr << "{";
    for(int i=0;i<vec.size();i++){
        cerr << vec[i] << (i + 1 == vec.size() ? "" : ", ");
    }
    cerr << "}\n";
}
/*  ----------------------- DEBUG用 ---------------------------- */

template<int MOD> struct Fp {
    long long val;
    constexpr Fp(long long v = 0) noexcept : val(v % MOD) {
        if (val < 0) val += MOD;
    }
    constexpr int getmod() { return MOD; }
    constexpr Fp operator - () const noexcept {
        return val ? MOD - val : 0;
    }
    constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; }
    constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; }
    constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; }
    constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; }
    constexpr Fp& operator += (const Fp& r) noexcept {
        val += r.val;
        if (val >= MOD) val -= MOD;
        return *this;
    }
    constexpr Fp& operator -= (const Fp& r) noexcept {
        val -= r.val;
        if (val < 0) val += MOD;
        return *this;
    }
    constexpr Fp& operator *= (const Fp& r) noexcept {
        val = val * r.val % MOD;
        return *this;
    }
    constexpr Fp& operator /= (const Fp& r) noexcept {
        long long a = r.val, b = MOD, u = 1, v = 0;
        while (b) {
            long long t = a / b;
            a -= t * b; swap(a, b);
            u -= t * v; swap(u, v);
        }
        val = val * u % MOD;
        if (val < 0) val += MOD;
        return *this;
    }
    constexpr bool operator == (const Fp& r) const noexcept {
        return this->val == r.val;
    }
    constexpr bool operator != (const Fp& r) const noexcept {
        return this->val != r.val;
    }
    friend constexpr ostream& operator << (ostream &os, const Fp<MOD>& x) noexcept {
        return os << x.val;
    }
    friend constexpr Fp<MOD> modpow(const Fp<MOD> &a, long long n) noexcept {
        if (n == 0) return 1;
        auto t = modpow(a, n / 2);
        t = t * t;
        if (n & 1) t = t * a;
        return t;
    }
};

template<class T> struct BiCoef {
    vector<T> fact_, inv_, finv_;
    constexpr BiCoef() {}
    constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) {
        init(n);
    }
    constexpr void init(int n) noexcept {
        fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1);
        int MOD = fact_[0].getmod();
        for(int i = 2; i < n; i++){
            fact_[i] = fact_[i-1] * i;
            inv_[i] = -inv_[MOD%i] * (MOD/i);
            finv_[i] = finv_[i-1] * inv_[i];
        }
    }
    constexpr T com(int n, int k) const noexcept {
        if (n < k || n < 0 || k < 0) return 0;
        return fact_[n] * finv_[k] * finv_[n-k];
    }
    constexpr T fact(int n) const noexcept {
        if (n < 0) return 0;
        return fact_[n];
    }
    constexpr T inv(int n) const noexcept {
        if (n < 0) return 0;
        return inv_[n];
    }
    constexpr T finv(int n) const noexcept {
        if (n < 0) return 0;
        return finv_[n];
    }
    constexpr T perm(int n, int k) const noexcept {
        if (n < k || n < 0 || k < 0) return 0;
        return fact_[n] * finv_[n-k];
    }
};

using mint = Fp<MOD>;
BiCoef<mint> bc;
// using vec = vector<mint>;
// using mat = vector<vec>;

void solve(){
    int H, W;
    cin >> H >> W;
    vector<vector<ll>> A(H, vector<ll>(W));
    mint sum = 1;
    REP(i,H) REP(j,W){
        cin >> A[i][j];
        sum *= A[i][j];
    }
    vector<vector<mint>> cum(H+1, vector<mint>(W+1, 1));
    vector<vector<int>> cnt(H+1, vector<int>(W+1));
    REP(i,H) REP(j,W){
        if(A[i][j]){
            cum[i+1][j+1] = cum[i][j+1] * cum[i+1][j] / cum[i][j] * A[i][j];
            cnt[i+1][j+1] = cnt[i][j+1] + cnt[i+1][j] - cnt[i][j];
        }
        else{
            cnt[i+1][j+1] = cnt[i][j+1] + cnt[i+1][j] - cnt[i][j] + 1;
            cum[i+1][j+1] = cum[i][j+1] * cum[i+1][j] / cum[i][j];
        }
    }
    int Q;
    cin >> Q;
    while(Q--){
        int r, c;
        cin >> r >> c;
        --r, --c;
        //[x1, x2) * [y1, y2)
        mint sq1 = cum[r][c] / cum[0][c] / cum[r][0];
        mint sq2 = cum[H][c] / cum[r+1][c] / cum[H][0] * cum[r+1][0];
        mint sq3 = cum[r][W] / cum[0][W] / cum[r][c+1] * cum[0][c+1];
        mint sq4 = cum[H][W] / cum[r+1][W] / cum[H][c+1] * cum[r+1][c+1];
        int zero = cnt[r][c] - cnt[0][c] - cnt[r][0]
                    + cnt[H][c] - cnt[r+1][c] - cnt[H][0] + cnt[r+1][0]
                    + cnt[r][W] - cnt[0][W] - cnt[r][c+1] + cnt[0][c+1]
                    + cnt[H][W] - cnt[r+1][W] - cnt[H][c+1] + cnt[r+1][c+1];

        if(zero) cout << 0 << endl;
        else cout << sq1 * sq2 * sq3 * sq4 << endl;
    }
}

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    solve();
    // int T; cin >> T; REP(t,T) solve();
}
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