結果

問題 No.226 0-1パズル
ユーザー 👑 emthrmemthrm
提出日時 2019-11-27 14:06:36
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 3 ms / 5,000 ms
コード長 5,759 bytes
コンパイル時間 1,261 ms
コンパイル使用メモリ 130,480 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-07-26 14:24:56
合計ジャッジ時間 1,997 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge4
このコードへのチャレンジ
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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 1 ms
6,944 KB
testcase_03 AC 2 ms
6,944 KB
testcase_04 AC 1 ms
6,940 KB
testcase_05 AC 2 ms
6,944 KB
testcase_06 AC 2 ms
6,940 KB
testcase_07 AC 1 ms
6,940 KB
testcase_08 AC 2 ms
6,940 KB
testcase_09 AC 1 ms
6,940 KB
testcase_10 AC 1 ms
6,940 KB
testcase_11 AC 1 ms
6,944 KB
testcase_12 AC 2 ms
6,940 KB
testcase_13 AC 2 ms
6,940 KB
testcase_14 AC 1 ms
6,944 KB
testcase_15 AC 1 ms
6,944 KB
testcase_16 AC 1 ms
6,940 KB
testcase_17 AC 2 ms
6,940 KB
testcase_18 AC 3 ms
6,940 KB
testcase_19 AC 3 ms
6,944 KB
testcase_20 AC 3 ms
6,940 KB
testcase_21 AC 3 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 <algorithm>
#include <bitset>
#include <cassert>
#include <cctype>
#include <chrono>
#define _USE_MATH_DEFINES
#include <cmath>
#include <cstring>
#include <ctime>
#include <deque>
#include <functional>
#include <iostream>
#include <iomanip>
#include <iterator>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <utility>
#include <vector>
using namespace std;

#define FOR(i,m,n) for(int i=(m);i<(n);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) (v).begin(),(v).end()

const int INF = 0x3f3f3f3f;
const long long LINF = 0x3f3f3f3f3f3f3f3fLL;
const double EPS = 1e-8;
const int MOD = 1000000007;
// const int MOD = 998244353;
const int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1};
// const int dy[] = {1, 1, 0, -1, -1, -1, 0, 1},
//           dx[] = {0, -1, -1, -1, 0, 1, 1, 1};

struct IOSetup {
  IOSetup() {
    cin.tie(nullptr);
    ios_base::sync_with_stdio(false);
    cout << fixed << setprecision(20);
    cerr << fixed << setprecision(10);
  }
} iosetup;
/*-------------------------------------------------*/
int mod = MOD;
struct ModInt {
  unsigned val;
  ModInt(): val(0) {}
  ModInt(long long x) : val(x >= 0 ? x % mod : x % mod + mod) {}
  ModInt pow(long long exponent) {
    ModInt tmp = *this, res = 1;
    while (exponent > 0) {
      if (exponent & 1) res *= tmp;
      tmp *= tmp;
      exponent >>= 1;
    }
    return res;
  }
  ModInt &operator+=(const ModInt &rhs) { if((val += rhs.val) >= mod) val -= mod; return *this; }
  ModInt &operator-=(const ModInt &rhs) { if((val += mod - rhs.val) >= mod) val -= mod; return *this; }
  ModInt &operator*=(const ModInt &rhs) { val = static_cast<unsigned long long>(val) * rhs.val % mod; return *this; }
  ModInt &operator/=(const ModInt &rhs) { return *this *= rhs.inv(); }
  bool operator==(const ModInt &rhs) const { return val == rhs.val; }
  bool operator!=(const ModInt &rhs) const { return val != rhs.val; }
  bool operator<(const ModInt &rhs) const { return val < rhs.val; }
  bool operator<=(const ModInt &rhs) const { return val <= rhs.val; }
  bool operator>(const ModInt &rhs) const { return val > rhs.val; }
  bool operator>=(const ModInt &rhs) const { return val >= rhs.val; }
  ModInt operator-() const { return ModInt(val ? mod - val : 0); }
  ModInt operator+(const ModInt &rhs) const { return ModInt(*this) += rhs; }
  ModInt operator-(const ModInt &rhs) const { return ModInt(*this) -= rhs; }
  ModInt operator*(const ModInt &rhs) const { return ModInt(*this) *= rhs; }
  ModInt operator/(const ModInt &rhs) const { return ModInt(*this) /= rhs; }
  friend ostream &operator<<(ostream &os, const ModInt &rhs) { return os << rhs.val; }
  friend istream &operator>>(istream &is, ModInt &rhs) { long long x; is >> x; rhs = ModInt(x); return is; }
private:
  ModInt inv() const {
    // if (__gcd(val, mod) != 1) assert(false);
    unsigned a = val, b = mod; int x = 1, y = 0;
    while (b) {
      unsigned tmp = a / b;
      swap(a -= tmp * b, b);
      swap(x -= tmp * y, y);
    }
    return ModInt(x);
  }
};
int abs(const ModInt &x) { return x.val; }
struct Combinatorics {
  int val;
  vector<ModInt> fact, fact_inv, inv;
  Combinatorics(int val = 10000000) : val(val), fact(val + 1), fact_inv(val + 1), inv(val + 1) {
    fact[0] = 1;
    FOR(i, 1, val + 1) fact[i] = fact[i - 1] * i;
    fact_inv[val] = ModInt(1) / fact[val];
    for (int i = val; i > 0; --i) fact_inv[i - 1] = fact_inv[i] * i;
    FOR(i, 1, val + 1) inv[i] = fact[i - 1] * fact_inv[i];
  }
  ModInt nCk(int n, int k) {
    if (n < 0 || n < k || k < 0) return ModInt(0);
    // assert(n <= val && k <= val);
    return fact[n] * fact_inv[k] * fact_inv[n - k];
  }
  ModInt nPk(int n, int k) {
    if (n < 0 || n < k || k < 0) return ModInt(0);
    // assert(n <= val);
    return fact[n] * fact_inv[n - k];
  }
  ModInt nHk(int n, int k) {
    if (n < 0 || k < 0) return ModInt(0);
    return (k == 0 ? ModInt(1) : nCk(n + k - 1, k));
  }
};

int main() {
  int h, w; cin >> h >> w;
  vector<string> s(h); REP(i, h) cin >> s[i];
  REP(_, w) {
    REP(j, w - 1) {
      int idx = -1, val;
      REP(i, h) {
        if (s[i][j] == s[i][j + 1] && s[i][j] != '?') {
          idx = i;
          val = s[i][j] - '0';
          break;
        }
      }
      if (idx == -1) continue;
      REP(i, h) {
        int now = val ^ (abs(idx - i) & 1);
        if (s[i][j] != '0' + now && s[i][j] != '?') {
          cout << 0 << '\n';
          return 0;
        }
        if (s[i][j + 1] != '0' + now && s[i][j + 1] != '?') {
          cout << 0 << '\n';
          return 0;
        }
        s[i][j] = s[i][j + 1] = '0' + now;
      }
    }
  }
  ModInt ans = 1;
  REP(j, w) {
    int pat = 0;
    bool alt = true;
    REP(i, h) {
      alt &= s[i][j] == '?' || s[i][j] == '0' + (i & 1);
    }
    pat += alt;
    alt = true;
    REP(i, h) {
      alt &= s[i][j] == '?' || s[i][j] == '0' + ((i + 1) & 1);
    }
    pat += alt;
    ans *= pat;
  }
  vector<vector<ModInt> > dp(h, vector<ModInt>(2, 0));
  dp[0][0] = dp[0][1] = 1;
  REP(j, w) {
    if (s[0][j] == '0' + (j & 1)) dp[0][1] = 0;
    if (s[0][j] == '0' + ((j + 1) & 1)) dp[0][0] = 0;
  }
  FOR(i, 1, h) {
    dp[i][0] = dp[i][1] = dp[i - 1][0] + dp[i - 1][1];
    REP(j, w) {
      if (s[i][j] == '0' + (j & 1)) dp[i][1] = 0;
      if (s[i][j] == '0' + ((j + 1) & 1)) dp[i][0] = 0;
    }
  }
  ans += dp[h - 1][0] + dp[h - 1][1];
  bool ichimatsu = true;
  REP(i, h) REP(j, w) {
    ichimatsu &= s[i][j] == '?' || s[i][j] == '0' + ((i + j) & 1);
  }
  ans -= ichimatsu;
  ichimatsu = true;
  REP(i, h) REP(j, w) {
    ichimatsu &= s[i][j] == '?' || s[i][j] == '0' + ((i + j + 1) & 1);
  }
  ans -= ichimatsu;
  cout << ans << '\n';
  return 0;
}
0