結果

問題 No.2291 Union Find Estimate
ユーザー phocom
提出日時 2023-05-05 22:18:22
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 37 ms / 2,000 ms
コード長 10,075 bytes
コンパイル時間 1,709 ms
コンパイル使用メモリ 137,304 KB
最終ジャッジ日時 2025-02-12 18:37:53
ジャッジサーバーID
(参考情報)
judge2 / judge1
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 * 2
other AC * 18
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ソースコード

diff #
プレゼンテーションモードにする

#include <algorithm>
#include <bitset>
#include <cassert>
#include <cmath>
#include <complex>
#include <cstdio>
#include <deque>
#include <functional>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <vector>
#define REP(i, N) for (int i = 0; i < (int)N; i++)
#define FOR(i, a, b) for (int i = a; i < (int)b; i++)
#define ALL(x) (x).begin(), (x).end()
using namespace std;
constexpr int inf = 1 << 30;
constexpr long long llinf = 1LL << 62;
constexpr int mod = 998244353; // 1000000007;
constexpr int dy[4] = {-1, 0, 1, 0}, dx[4] = {0, -1, 0, 1};
using ll = long long;
using Pii = pair<int, int>;
using Pll = pair<ll, ll>;
inline int popcount(ll x) { return __builtin_popcountll(x); }
inline int div2num(ll x) { return __builtin_ctzll(x); }
inline bool bit(ll x, int b) { return (x >> b) & 1; }
template <class T>
bool chmax(T& a, const T& b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
template <class T>
bool chmin(T& a, const T& b) {
if (b < a) {
a = b;
return 1;
}
return 0;
}
template <class T>
string to_string(T s);
template <class S, class T>
string to_string(pair<S, T> p);
string to_string(char c) { return string(1, c); }
string to_string(string s) { return s; }
string to_string(const char s[]) { return string(s); }
template <class T>
string to_string(T v) {
if (v.empty()) return "{}";
string ret = "{";
for (auto x : v) ret += to_string(x) + ",";
ret.back() = '}';
return ret;
}
template <class S, class T>
string to_string(pair<S, T> p) {
return "{" + to_string(p.first) + ":" + to_string(p.second) + "}";
}
void debug() { cerr << endl; }
template <class Head, class... Tail>
void debug(Head head, Tail... tail) {
cerr << to_string(head) << " ";
debug(tail...);
}
template <class T>
vector<T> makev(int n, T v) {
return vector<T>(n, v);
}
struct IO {
#ifdef _WIN32
inline char getchar_unlocked() { return getchar(); }
inline void putchar_unlocked(char c) { putchar(c); }
#endif
std::string separator = " ";
template <class T>
inline void read(T& x) {
char c;
do {
c = getchar_unlocked();
} while (c != '-' && (c < '0' || '9' < c));
bool minus = 0;
if (c == '-') {
minus = 1;
c = getchar_unlocked();
}
x = 0;
while ('0' <= c && c <= '9') {
x *= 10;
x += c - '0';
c = getchar_unlocked();
}
if (minus) x = -x;
}
inline void read(std::string& x) {
char c;
do {
c = getchar_unlocked();
} while (c == ' ' || c == '\n');
x.clear();
do {
x += c;
c = getchar_unlocked();
} while (c != ' ' && c != '\n' && c != EOF);
}
template <class T>
inline void read(std::vector<T>& v) {
for (auto& x : v) read(x);
}
template <class S, class T>
inline void read(std::pair<S, T>& p) {
read(p.first);
read(p.second);
}
template <class Head, class... Tail>
inline void read(Head& head, Tail&... tail) {
read(head);
read(tail...);
}
template <class T>
inline void write(T x) {
char buf[32];
int p = 0;
if (x < 0) {
x = -x;
putchar_unlocked('-');
}
if (x == 0) putchar_unlocked('0');
while (x > 0) {
buf[p++] = (x % 10) + '0';
x /= 10;
}
while (p) {
putchar_unlocked(buf[--p]);
}
}
inline void write(std::string x) {
for (char c : x) putchar_unlocked(c);
}
inline void write(const char s[]) {
for (int i = 0; s[i] != 0; ++i) putchar_unlocked(s[i]);
}
template <class T>
inline void write(std::vector<T> v) {
if (v.empty()) return;
for (auto itr = v.begin(); itr + 1 != v.end(); ++itr) {
write(*itr);
write(separator);
}
write(v.back());
}
template <class Head, class... Tail>
inline void write(Head head, Tail... tail) {
write(head);
write(separator);
write(tail...);
}
template <class Head, class... Tail>
inline void writeln(Head head, Tail... tail) {
write(head, tail...);
write("\n");
}
void set_separator(std::string s) { separator = s; }
} io;
struct Prime {
int n;
vector<int> table;
vector<int> primes;
Prime(int _n = 100000) {
n = _n + 1;
table.resize(n, -1);
table[0] = 0;
table[1] = -1;
for (int i = 2; i * i < n; ++i) {
if (table[i] == -1) {
for (int j = i * i; j < n; j += i) {
table[j] = i;
}
}
}
}
void enumerate_primes() {
primes.clear();
for (int i = 2; i < n; ++i) {
if (table[i] == -1) primes.push_back(i);
}
}
vector<pair<long long, int>> prime_factor(long long x) {
map<long long, int> mp;
long long div = 2;
int p = 0;
while (n <= x && div * div <= x) {
if (x % div == 0) {
mp[div]++;
x /= div;
} else {
if (p + 1 < primes.size()) {
div = primes[++p];
} else {
div++;
}
}
}
if (x < n) {
while (table[x] != -1) {
mp[table[x]]++;
x /= table[x];
}
}
if (x > 1) mp[x]++;
vector<pair<long long, int>> ret;
for (auto p : mp) ret.push_back(p);
return ret;
}
};
template <int MOD = 1000000007>
struct Math {
vector<long long> fact, factinv, inv;
Math(int n = 100000) {
fact.resize(n + 1);
factinv.resize(n + 1);
inv.resize(n + 1);
fact[0] = fact[1] = 1;
factinv[0] = factinv[1] = 1;
inv[1] = 1;
for (int i = 2; i <= n; ++i) {
fact[i] = fact[i - 1] * i % MOD;
inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD;
factinv[i] = factinv[i - 1] * inv[i] % MOD;
}
}
long long C(int n, int r) {
if (n < r || n < 0 || r < 0) {
return 0;
} else {
return fact[n] * (factinv[r] * factinv[n - r] % MOD) % MOD;
}
}
long long P(int n, int r) {
if (n < r || n < 0 || r < 0) {
return 0;
} else {
return fact[n] * factinv[n - r] % MOD;
}
}
long long H(int n, int r) { return C(n + r - 1, r); }
};
struct UnionFind {
vector<int> data;
vector<vector<int>> groups;
UnionFind(int n) : data(n, -1) {}
int root(int v) { return data[v] < 0 ? v : data[v] = root(data[v]); }
bool unite(int u, int v) {
if ((u = root(u)) == (v = root(v))) {
return 1;
} else {
if (-data[u] < -data[v]) swap(u, v);
data[u] += data[v];
data[v] = u;
return 0;
}
}
int size(int v) { return -data[root(v)]; }
void make_groups() {
map<int, vector<int>> mp;
for (int i = 0; i < data.size(); ++i) mp[root(i)].push_back(i);
groups.clear();
for (auto p : mp) groups.push_back(p.second);
}
};
namespace phc {
long long modpow(long long a, long long n) {
long long res = 1;
while (n > 0) {
if (n & 1) res = res * a % mod;
a = a * a % mod;
n >>= 1;
}
return res;
}
long long modinv(long long a) {
long long 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);
}
u %= mod;
if (u < 0) u += mod;
return u;
}
long long gcd(long long a, long long b) { return b != 0 ? gcd(b, a % b) : a; }
long long lcm(long long a, long long b) { return a / gcd(a, b) * b; }
} // namespace phc
template <int mod>
struct ModInt {
int x;
ModInt() : x(0) {}
ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % 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 = (int)(1LL * x * p.x % mod);
return *this;
}
ModInt& operator/=(const ModInt& p) {
*this *= p.inverse();
return *this;
}
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 inverse() const {
int a = x, 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(int64_t n) const {
ModInt ret(1), mul(x);
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.x; }
friend istream& operator>>(istream& is, ModInt& a) {
int64_t t;
is >> t;
a = ModInt<mod>(t);
return (is);
}
static int get_mod() { return mod; }
};
using modint = ModInt<mod>;
string Yes(bool f) { return f ? "Yes" : "No"; }
string YES(bool f) { return f ? "YES" : "NO"; }
int main() {
int W, H;
io.read(W, H);
UnionFind uf(W);
vector<int> val(W);
modint ans = 1;
REP(i, W) ans *= 10;
REP(i, H) {
string q;
io.read(q);
int last[26];
REP(j, 26) last[j] = -1;
REP(j, W) {
char c = q[j];
if ('0' <= c && c <= '9') {
if (val[uf.root(j)] == 0) {
val[uf.root(j)] = c;
ans /= 10;
} else if (val[uf.root(j)] != c) {
ans = 0;
}
} else if (c != '?') {
if (last[c - 'a'] != -1) {
int k = last[c - 'a'];
if (uf.root(j) != uf.root(k)) {
if (val[uf.root(j)] == 0 && val[uf.root(k)] == 0) {
ans /= 10;
} else if (val[uf.root(j)] == 0 && val[uf.root(k)] != 0) {
ans /= 10;
val[uf.root(j)] = val[uf.root(k)];
} else if (val[uf.root(j)] != 0 && val[uf.root(k)] == 0) {
ans /= 10;
val[uf.root(k)] = val[uf.root(j)];
} else if (val[uf.root(j)] != val[uf.root(k)]) {
ans = 0;
}
}
uf.unite(j, k);
}
last[c - 'a'] = j;
}
}
io.writeln(ans.x);
}
return 0;
}
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