結果

問題 No.226 0-1パズル
ユーザー drken1215
提出日時 2020-10-29 03:22:13
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 2 ms / 5,000 ms
コード長 4,950 bytes
コンパイル時間 2,261 ms
コンパイル使用メモリ 203,308 KB
最終ジャッジ日時 2025-01-15 16:18:37
ジャッジサーバーID
（参考情報） 		judge1 / judge5
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ファイルパターン 結果
other AC * 22
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ソースコード

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プレゼンテーションモードにする

#include <bits/stdc++.h>
using namespace std;
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
#define COUT(x) cout << #x << " = " << (x) << " (L" << __LINE__ << ")" << endl
template<class T1, class T2> ostream& operator << (ostream &s, pair<T1,T2> P)
{ return s << '<' << P.first << ", " << P.second << '>'; }
template<class T> ostream& operator << (ostream &s, vector<T> P)
{ for (int i = 0; i < P.size(); ++i) { if (i > 0) { s << " "; } s << P[i]; } return s; }
template<class T> ostream& operator << (ostream &s, vector<vector<T> > P)
{ for (int i = 0; i < P.size(); ++i) { s << endl << P[i]; } return s << endl; }
template<class T> ostream& operator << (ostream &s, set<T> P)
{ for(auto it : P) { s << "<" << it << "> "; } return s << endl; }
template<class T1, class T2> ostream& operator << (ostream &s, map<T1,T2> P)
{ for(auto it : P) { s << "<" << it.first << "->" << it.second << "> "; } return s << endl; }
// modint
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() const { 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 istream& operator >> (istream& is, Fp<MOD>& x) noexcept {
        is >> x.val;
        x.val %= MOD;
        if (x.val < 0) x.val += MOD;
        return is;
    }
    friend constexpr ostream& operator << (ostream& os, const Fp<MOD>& x) noexcept {
        return os << x.val;
    }
    friend constexpr Fp<MOD> modpow(const Fp<MOD>& r, long long n) noexcept {
        if (n == 0) return 1;
        if (n < 0) return modpow(modinv(r), -n);
        auto t = modpow(r, n / 2);
        t = t * t;
        if (n & 1) t = t * r;
        return t;
    }
    friend constexpr Fp<MOD> modinv(const Fp<MOD>& 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);
        }
        return Fp<MOD>(u);
    }
};
const int MOD = 1000000007;
using mint = Fp<MOD>;
// 左上を val とした市松模様が valid かどうか
bool isValid(const vector<string> &fi, int val) {
    for (int i = 0; i < fi.size(); ++i) {
        for (int j = 0; j < fi[0].size(); ++j) {
            if (fi[i][j] == '0' && (i+j+val) % 2 == 1) return false;
            if (fi[i][j] == '1' && (i+j+val) % 2 == 0) return false;
        }
    }
    return true;
}
// 最初の行としてありうるものの個数
mint solve(const vector<string> &fi) {
    int jiyudo = 0;
    for (int j = 0; j < fi[0].size(); ++j) {
        set<int> se;
        for (int i = 0; i < fi.size(); ++i) {
            if (fi[i][j] == '0') {
                if (i % 2 == 0) se.insert(0);
                else se.insert(1);
            }
            else if (fi[i][j] == '1') {
                if (i % 2 == 0) se.insert(1);
                else se.insert(0);
            }
        }
        if (se.size() == 2) return mint(0);
        if (se.size() == 0) ++jiyudo;
    }
    return modpow(mint(2), jiyudo);
}
int main() {
    int H, W;
    cin >> H >> W;
    vector<string> fi(H);
    for (int i = 0; i < H; ++i) cin >> fi[i];
    mint res = solve(fi);
    vector<string> se(W, string(H, '?'));
    for (int j = 0; j < W; ++j) for (int i = 0; i < H; ++i) se[j][i] = fi[i][j];
    res += solve(se);
    mint sub = 0;
    if (isValid(fi, 0)) sub += 1;
    if (isValid(fi, 1)) sub += 1;
    res -= sub;
    cout << res << endl;
}
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