結果

問題 No.226 0-1パズル
ユーザー naribownaribow
提出日時 2020-08-23 21:31:18
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 3 ms / 5,000 ms
コード長 6,409 bytes
コンパイル時間 1,684 ms
コンパイル使用メモリ 175,608 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-07-26 14:26:13
合計ジャッジ時間 2,451 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge3
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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 2 ms
6,812 KB
testcase_01 AC 2 ms
6,940 KB
testcase_02 AC 2 ms
6,940 KB
testcase_03 AC 2 ms
6,940 KB
testcase_04 AC 2 ms
6,940 KB
testcase_05 AC 2 ms
6,944 KB
testcase_06 AC 2 ms
6,940 KB
testcase_07 AC 2 ms
6,940 KB
testcase_08 AC 2 ms
6,940 KB
testcase_09 AC 2 ms
6,940 KB
testcase_10 AC 2 ms
6,944 KB
testcase_11 AC 2 ms
6,940 KB
testcase_12 AC 2 ms
6,944 KB
testcase_13 AC 2 ms
6,940 KB
testcase_14 AC 2 ms
6,940 KB
testcase_15 AC 2 ms
6,940 KB
testcase_16 AC 2 ms
6,940 KB
testcase_17 AC 3 ms
6,940 KB
testcase_18 AC 2 ms
6,944 KB
testcase_19 AC 2 ms
6,940 KB
testcase_20 AC 2 ms
6,944 KB
testcase_21 AC 2 ms
6,944 KB
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>
using namespace std;
typedef long long ll;
const double pi=3.141592653589793;
typedef unsigned long long ull;
typedef long double ldouble;
const ll INF=1e18;
#define rep(i, n) for(int i = 0; i < (int)(n); i++)
#define rep2(i, s, n) for (int i = (s); i < (int)(n); i++)
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; }

template <int mod>
struct ModInt {
    int val;
    ModInt() : val(0) {}
    ModInt(long long x) : val(x >= 0 ? x % mod : (mod - (-x) % mod) % mod) {}
    int getmod() { return mod; }
    ModInt &operator+=(const ModInt &p) {
        if ((val += p.val) >= mod) {
            val -= mod;
        }
        return *this;
    }
    ModInt &operator-=(const ModInt &p) {
        if ((val += mod - p.val) >= mod) {
            val -= mod;
        }
        return *this;
    }
    ModInt &operator*=(const ModInt &p) {
        val = (int)(1LL * val * p.val % mod);
        return *this;
    }
    ModInt &operator/=(const ModInt &p) {
        *this *= p.inverse();
        return *this;
    }
    ModInt operator-() const { return ModInt(-val); }
    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; }
    bool operator==(const ModInt &p) const { return val == p.val; }
    bool operator!=(const ModInt &p) const { return val != p.val; }
    ModInt inverse() const {
        int a = val, b = mod, u = 1, v = 0, t;
        while (b > 0) {
            t = a / b;
            swap(a -= t * b, b);
            swap(u -= t * v, v);
        }
        return ModInt(u);
    }
    ModInt pow(long long n) const {
        ModInt ret(1), mul(val);
        while (n > 0) {
            if (n & 1) ret *= mul;
            mul *= mul;
            n >>= 1;
        }
        return ret;
    }
    friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.val; }
    friend istream &operator>>(istream &is, ModInt &a) {
        long long t;
        is >> t;
        a = ModInt<mod>(t);
        return (is);
    }
    static int get_mod() { return mod; }
};
const int MOD = 1000000007;  // if inv is needed, this shold be prime.
using modint = ModInt<MOD>;

int main(){
    int h, w;
    cin >> h >> w;
    vector<vector<char> > s(w, vector<char>(h));
    vector<char> first(w, '?');
    bool check = true;
    modint mutual = 1;
    rep(y, h){
        int mutual_y = 2;
        int f_mutual_y = 0;
        rep(x, w){
            cin >> s.at(x).at(y);
            // 交互でない場合のための準備
            if(y % 2 == 0 && s.at(x).at(y) != '?'){
                if(first.at(x) != s.at(x).at(y) && first.at(x) != '?') {check = false;}
                else first.at(x) = s.at(x).at(y);
            }
            else if(y % 2 == 1 && s.at(x).at(y) != '?'){
                if(first.at(x) - '0' != !(s.at(x).at(y) - '0') && first.at(x) != '?') {check = false;}
                else first.at(x) = !(s.at(x).at(y) - '0') + '0';
            }

            // 交互の場合のための準備
            if(s.at(x).at(y) != '?' && mutual_y == 2 && x % 2 == 0){
                mutual_y = 1;
                f_mutual_y = (s.at(x).at(y) - '0');
            }
            else if(s.at(x).at(y) != '?' && mutual_y == 2 && x % 2 == 1){
                mutual_y = 1;
                f_mutual_y = !(s.at(x).at(y) - '0');
            }
            else if(s.at(x).at(y) == '1' && x % 2 == 0 && f_mutual_y == 1){
                // 0K
            }
            else if(s.at(x).at(y) == '1' && x % 2 == 0 && f_mutual_y == 0){
                // NG
                mutual_y = 0;
            }
            else if(s.at(x).at(y) == '1' && x % 2 == 1 && f_mutual_y == 1){
                // NG
                mutual_y = 0;
            }
            else if(s.at(x).at(y) == '1' && x % 2 == 1 && f_mutual_y == 0){
                // 0K
            }
            else if(s.at(x).at(y) == '0' && x % 2 == 0 && f_mutual_y == 1){
                // NG
                mutual_y = 0;
            }
            else if(s.at(x).at(y) == '0' && x % 2 == 0 && f_mutual_y == 0){
                // OK
            }
            else if(s.at(x).at(y) == '0' && x % 2 == 1 && f_mutual_y == 1){
                // OK
            }
            else if(s.at(x).at(y) == '0' && x % 2 == 1 && f_mutual_y == 0){
                // NG
                mutual_y = 0;
            }
        }
        mutual *= mutual_y;
    }
    // 交互ではなくても解が存在する場合
    if(check){
        modint not_mutual = 1;
        int mutual_y = 2;
        int f_mutual_y = 0;
        rep(x, w){
            if(first.at(x) == '?') {
                not_mutual *= 2;
            }

            if(first.at(x) != '?' && mutual_y == 2 && x % 2 == 0){
                mutual_y = 1;
                f_mutual_y = first.at(x) - '0';
            }
            else if(first.at(x) != '?' && mutual_y == 2 && x % 2 == 1){
                mutual_y = 1;
                f_mutual_y = !(first.at(x) - '0');
            }
            else if(first.at(x) == '1' && x % 2 == 0 && f_mutual_y == 1){
                // 0K
            }
            else if(first.at(x) == '1' && x % 2 == 0 && f_mutual_y == 0){
                // NG
                mutual_y = 0;
            }
            else if(first.at(x) == '1' && x % 2 == 1 && f_mutual_y == 1){
                // NG
                mutual_y = 0;
            }
            else if(first.at(x) == '1' && x % 2 == 1 && f_mutual_y == 0){
                // 0K
            }
            else if(first.at(x) == '0' && x % 2 == 0 && f_mutual_y == 1){
                // NG
                mutual_y = 0;
            }
            else if(first.at(x) == '0' && x % 2 == 0 && f_mutual_y == 0){
                // OK
            }
            else if(first.at(x) == '0' && x % 2 == 1 && f_mutual_y == 1){
                // OK
            }
            else if(first.at(x) == '0' && x % 2 == 1 && f_mutual_y == 0){
                // NG
                mutual_y = 0;
            }
        }
        not_mutual -= mutual_y;
        mutual += not_mutual;
    }
    cout << mutual << endl;
}
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