結果

問題 No.13 囲みたい！
ユーザー もりを
提出日時 2020-12-12 22:55:58
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 5 ms / 5,000 ms
コード長 14,813 bytes
コンパイル時間 2,417 ms
コンパイル使用メモリ 209,576 KB
最終ジャッジ日時 2025-01-16 23:06:01
ジャッジサーバーID
（参考情報） 		judge5 / judge1
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ファイルパターン 結果
other AC * 16
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// URL : https://yukicoder.me/problems/no/13
#pragma region optimize
// #pragma GCC optimize("Ofast")
// #pragma GCC optimize("unroll-loops")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma endregion
#include <bits/stdc++.h>
using namespace std;
#pragma region boost multiprecision
// #include <boost/multiprecision/cpp_dec_float.hpp>
// #include <boost/multiprecision/cpp_int.hpp>
// using Bint       = boost::multiprecision::cpp_int;
// using Bfloat32   = boost::multiprecision::number<boost::multiprecision::cpp_dec_float<32>>;
// using Bfloat1024 = boost::multiprecision::number<boost::multiprecision::cpp_dec_float<1024>>;
#pragma endregion
// #define int long long
// #define endl '\n'
#pragma region TEMPLATE
// clang-format off
/* TYPE */
typedef long long ll;       typedef long double ld;
typedef pair<int, int> pii; typedef pair<ll, ll> pll;
typedef vector<pii> vpii;   typedef vector<pll> vpll;
typedef vector<int> vi;     typedef vector<ll> vl;
typedef vector<string> vst; typedef vector<bool> vb;
typedef vector<ld> vld;     typedef vector<vector<int>> vvi;
template<typename T, typename Cmp = less<>> using prique = priority_queue<T, vector<T>, Cmp>;
template<typename T> using prique_r = prique<T, greater<>>;
/* CONSTANT */
#define ln '\n'
const int INF = 1 << 30;    const ll INFF = 1LL << 60;  const string ALPHABET = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const int MOD = 1e9 + 7;    const int MODD = 998244353; const string alphabet = "abcdefghijklmnopqrstuvwxyz";
const double EPS = 1e-9;    const ld PI = 3.14159265358979323846264338327950288;
const int dx[] = { 1, 0, -1,  0,  1, -1, -1, 1, 0 };
const int dy[] = { 0, 1,  0, -1, -1, -1,  1, 1, 0 };
/* CONTAINER */
#define PB              emplace_back
#define ALL(v)          (v).begin(), (v).end()
#define RALL(v)         (v).rbegin(), (v).rend()
#define SORT(v)         sort(ALL(v))
#define RSORT(v)        sort(RALL(v))
#define LESS(x, val)    (lower_bound(x.begin(), x.end(), val) - x.begin())
#define LEQ(x, val)     (upper_bound(x.begin(), x.end(), val) - x.begin())
#define GREATER(x, val) (int)(x).size() - LEQ((x), (val))
#define GEQ(x, val)     (int)(x).size() - LESS((x), (val))
#define UNIQUE(v)       sort(ALL(v)); (v).erase(unique(ALL(v)), (v).end())
template<typename T> vector<T> make_v(size_t a) { return vector<T>(a); }
template<typename T, typename... Ts> auto make_v(size_t a, Ts... ts) { return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...)); }
template<typename T, typename U, typename... V> enable_if_t<is_same<T, U>::value != 0> fill_v(U &u, const V... v) { u = U(v...); }
template<typename T, typename U, typename... V> enable_if_t<is_same<T, U>::value == 0> fill_v(U &u, const V... v) { for (auto &e : u) fill_v<T>(e, v
    ...); }
/* LOOP */
#define _overload3(_1, _2, _3, name, ...) name
#define _REP(i, n)      REPI(i, 0, n)
#define REPI(i, a, b)   for (ll i = (ll)a; i < (ll)b; ++i)
#define REP(...)        _overload3(__VA_ARGS__, REPI, _REP,)(__VA_ARGS__)
#define _RREP(i, n)     RREPI(i, n, 0)
#define RREPI(i, a, b)  for (ll i = (ll)a; i >= (ll)b; --i)
#define RREP(...)       _overload3(__VA_ARGS__, RREPI, _RREP,)(__VA_ARGS__)
#define EACH(e, v)      for (auto& e : v)
#define PERM(v)         sort(ALL(v)); for (bool c##p = true; c##p; c##p = next_permutation(ALL(v)))
/* INPUT */
template<typename T> void SSS(T& t) { cin >> t; }
template<typename Head, typename... Tail> void SSS(Head&& head, Tail&&... tail) { cin >> head; SSS(tail...); }
#define SS(T, ...)      T __VA_ARGS__; SSS(__VA_ARGS__);
#define SV(T, v, n)     vector<T> v(n); for (auto& i : v) cin >> i;
#define SVV(T, v, n, m) vector<vector<T>> v(n, vector<T>(m)); for (auto& r : v) for (auto& i : r) cin >> i;
/* OUTPUT */
// Yes / No
inline int YES(bool x) { cout << (x ? "YES"  : "NO") << endl; return 0; }
inline int Yes(bool x) { cout << (x ? "Yes"  : "No") << endl; return 0; }
inline int yes(bool x) { cout << (x ? "yes"  : "no") << endl; return 0; }
inline int yES(bool x) { cout << (x ? "yES"  : "nO") << endl; return 0; }
inline int Yay(bool x) { cout << (x ? "Yay!" : ":(") << endl; return 0; }
// PROTOTYPE DECLARATION
template<typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &j);
template<typename... T> ostream &operator<<(ostream &os, const tuple<T...> &t);
template<class C, enable_if_t<!is_same<C, string>::value, decltype(declval<const C &>().begin(), nullptr)> = nullptr> ostream& operator<<(ostream &os
    , const C &c);
template<typename T> ostream &operator<<(ostream &os, const stack<T> &j);
template<typename T> ostream &operator<<(ostream &os, const queue<T> &j);
template<typename T, typename C, typename Cmp> ostream &operator<<(ostream &os, const priority_queue<T, C, Cmp> &j);
// IMPLEMENTATION
template<typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &j) { return os << '{' << j.first << ", " << j.second << '}'; }
template<size_t num = 0, typename... T> enable_if_t<num == sizeof...(T)> PRINT_TUPLE(ostream &os, const tuple<T...> &t) {}
template<size_t num = 0, typename... T> enable_if_t<num <  sizeof...(T)> PRINT_TUPLE(ostream &os, const tuple<T...> &t) { os << get<num>(t); if (num 
    + 1 < sizeof...(T)) os << ", "; PRINT_TUPLE<num + 1>(os, t); }
template<typename... T> ostream &operator<<(ostream &os, const tuple<T...> &t) { PRINT_TUPLE(os << '{', t); return os << '}'; }
template<class C, enable_if_t<!is_same<C, string>::value, decltype(declval<const C &>().begin(), nullptr)>> ostream& operator<<(ostream &os, const C 
    &c) { os << '{'; for (auto it = begin(c); it != end(c); it++) { if (begin(c) != it) os << ", "; os << *it; } return os << '}'; }
template<typename T> ostream &operator<<(ostream &os, const stack<T> &j) { deque<T> d; for (auto c = j; !c.empty(); c.pop()) d.push_front(c.top());  
    return os << d; }
template<typename T> ostream &operator<<(ostream &os, const queue<T> &j) { deque<T> d; for (auto c = j; !c.empty(); c.pop()) d.push_back(c.front()); 
    return os << d; }
template<typename T, typename C, typename Cmp> ostream &operator<<(ostream &os, const priority_queue<T, C, Cmp> &j) { deque<T> d; for (auto c = j; !c
    .empty(); c.pop()) d.push_front(c.top());  return os << d; }
// OUTPUT FUNCTION
template<typename T> int PV(T &v) { int sz = v.size(); for (int i = 0; i < sz; ++i) cout << v[i] << " \n"[i == sz - 1]; return 0; }
inline int print() { cout << endl; return 0; }
template<typename Head> int print(Head&& head){ cout << head; return print(); }
template<typename Head, typename... Tail> int print(Head&& head, Tail&&... tail) { cout << head << " "; return print(forward<Tail>(tail)...); }
#ifdef LOCAL
inline void dump() { cerr << endl; }
template<typename Head> void dump(Head&& head) { cerr << head; dump(); }
template<typename Head, typename... Tail> void dump(Head&& head, Tail&&... tail) { cerr << head << ", "; dump(forward<Tail>(tail)...); }
#define debug(...) do {cerr << __LINE__ << ":\t" << #__VA_ARGS__ << " = "; dump(__VA_ARGS__); } while (false)
#else
#define dump(...)
#define debug(...)
#endif
/* OTHER */
#define fi              first
#define se              second
#define MP              make_pair
#define MT              make_tuple
template<typename T, typename A, typename B> inline bool between(T x, A a, B b) { return ((a <= x) && (x < b)); }
template<typename A, typename B> inline bool chmax(A &a, const B &b) { if (a < b) { a = b; return true; } return false; }
template<typename A, typename B> inline bool chmin(A &a, const B &b) { if (a > b) { a = b; return true; } return false; }
inline ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
inline ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }
inline ll POW(ll a, ll b) { ll r = 1; do { if (b & 1)  r *= a; a *= a; } while (b >>= 1); return r; }
struct abracadabra {
    abracadabra() {
        cin.tie(nullptr); ios::sync_with_stdio(false);
        cout << fixed << setprecision(20);
        cerr << fixed << setprecision(5);
    };
} ABRACADABRA;
// clang-format on
#pragma endregion
#pragma region graph template
/**
* @brief グラフテンプレート
* @docs docs/graph/template.md
*/
template <typename T>
struct Edge {
    int frm, to, idx;
    T cst;
    Edge() {}
    Edge(int f, int t, T c, int i = -1)
        : frm(f), to(t), idx(i), cst(c) {}
    operator int() const { return to; }
};
template <typename T>
constexpr T GINF = numeric_limits<T>::max() / 10;
template <typename T>
struct Graph {
    int V, E;
    vector<vector<Edge<T>>> mat;
    vector<vector<T>> wf;
    Graph() {}
    Graph(int v)
        : V(v), E(0), mat(v) {}
    inline void add_edge(int a, int b, T c = 1, int margin = 0) {
        a -= margin, b -= margin;
        mat[a].emplace_back(a, b, c, E++);
        mat[b].emplace_back(b, a, c, E++);
    }
    inline void add_arc(int a, int b, T c = 1, int margin = 0) {
        a -= margin, b -= margin;
        mat[a].emplace_back(a, b, c, E++);
    }
    inline void input_edges(int M, int margin = 0, bool need_cost = false) {
        for (int i = 0; i < M; ++i) {
            int a, b;
            T c(1);
            cin >> a >> b;
            if (need_cost) cin >> c;
            add_edge(a, b, c, margin);
        }
    }
    inline void input_arcs(int M, int margin = 0, bool need_cost = false) {
        for (int i = 0; i < M; ++i) {
            int a, b;
            T c(1);
            cin >> a >> b;
            if (need_cost) cin >> c;
            add_arc(a, b, c, margin);
        }
    }
};
#pragma endregion
#pragma region graph gridgraph
/**
* @brief グリッドグラフ
* @docs docs/graph/gridgraph.md
*/
template <typename T = int>
struct GridGraph : Graph<T> {
    using Graph<T>::V;
    using Graph<T>::E;
    using Graph<T>::mat;
    const int Gdx[9] = { 1, 0, -1, 0, 1, -1, -1, 1, 0 };
    const int Gdy[9] = { 0, 1, 0, -1, -1, -1, 1, 1, 0 };
    int H, W;
    GridGraph() {}
    GridGraph(int h, int w)
        : H(h), W(w) {
        V = h * w;
        E = 0;
        mat.resize(V);
    }
    inline bool inside(const int h, const int w) const {
        return h >= 0 and w >= 0 and h < H and w < W;
    }
    inline int hash(const int h, const int w, const int margin = 0) const {
        return (h - margin) * W + (w - margin);
    }
    inline void add_edge(int ax, int ay, int bx, int by, T c = 1, int margin = 0) {
        ax -= margin, ay -= margin, bx -= margin, by -= margin;
        int a = hash(ax, ay), b = hash(bx, by);
        mat[a].emplace_back(a, b, c, E++);
        mat[b].emplace_back(b, a, c, E++);
    }
    inline void add_edge(pair<int, int> ap, pair<int, int> bp, T c = 1, int margin = 0) {
        int ax, ay, bx, by;
        tie(ax, ay) = ap;
        tie(bx, by) = bp;
        ax -= margin, ay -= margin, bx -= margin, by -= margin;
        int a = hash(ax, ay), b = hash(bx, by);
        mat[a].emplace_back(a, b, c, E++);
        mat[b].emplace_back(b, a, c, E++);
    }
    inline void add_arc(int ax, int ay, int bx, int by, T c = 1, int margin = 0) {
        ax -= margin, ay -= margin, bx -= margin, by -= margin;
        int a = hash(ax, ay), b = hash(bx, by);
        mat[a].emplace_back(a, b, c, E++);
    }
    inline void add_arc(pair<int, int> ap, pair<int, int> bp, T c = 1, int margin = 0) {
        int ax, ay, bx, by;
        tie(ax, ay) = ap;
        tie(bx, by) = bp;
        ax -= margin, ay -= margin, bx -= margin, by -= margin;
        int a = hash(ax, ay), b = hash(bx, by);
        mat[a].emplace_back(a, b, c, E++);
    }
    inline void input_edges(int M, int margin = 0, bool need_cost = false) {
        for (int i = 0; i < M; ++i) {
            int ax, ay, bx, by;
            T c(1);
            cin >> ax >> ay >> bx >> by;
            if (need_cost) cin >> c;
            add_edge(ax, ay, bx, by, c, margin);
        }
    }
    inline void input_arcs(int M, int margin = 0, bool need_cost = false) {
        for (int i = 0; i < M; ++i) {
            int ax, ay, bx, by;
            T c(1);
            cin >> ax >> ay >> bx >> by;
            if (need_cost) cin >> c;
            add_arc(ax, ay, bx, by, c, margin);
        }
    }
    template <typename B, typename C>
    inline void load_board(const B &board, const C ng, const T cost = 1, const int neighbor = 4) {
        assert(board.size() == H);
        if (H > 0) assert(board[0].size() == W);
        assert(neighbor >= 1 and neighbor <= 9);
        for (int h = 0; h < H; ++h) {
            for (int w = 0; w < W; ++w) {
                if (board[h][w] == ng) continue;
                for (int i = 0; i < neighbor; ++i) {
                    int nh = h + Gdx[i];
                    int nw = w + Gdy[i];
                    if (not inside(nh, nw)) continue;
                    if (board[nh][nw] == ng) continue;
                    add_arc(h, w, nh, nw, cost);
                }
            }
        }
    }
};
#pragma endregion
#pragma region graph cycle detection
/**
* @brief 閉路検出
* @docs docs/graph/other/cycle_detection.md
*/
template <typename T>
vector<int> cycle_detection(const Graph<T> &g, bool directed = false) {
    vector<int> cycle, color(g.V, 0);
    auto dfs = [&](auto &&f, int cur, int prv, int &frm) -> bool {
        color[cur] = 1;
        for (auto &nxt : g.mat[cur]) {
            if (not directed and nxt == prv) continue;
            if (color[nxt] == 0) {
                if (f(f, nxt, cur, frm)) {
                    cycle.emplace_back(cur);
                    return frm != cur;
                } else if (not cycle.empty())
                    return false;
            } else if (color[nxt] == 1) {
                cycle.emplace_back(cur);
                frm = nxt;
                return true;
            }
        }
        color[cur] = 2;
        return false;
    };
    int frm = -1;
    for (int i = 0; i < g.V; ++i) {
        if (color[i] == 0) {
            dfs(dfs, i, -1, frm);
            if (not cycle.empty()) {
                reverse(cycle.begin(), cycle.end());
                break;
            }
        }
    }
    return cycle;
}
#pragma endregion
int solve();
signed main() {
    // int _T; cin >> _T; for (int t = 1; t <= _T; ++t)
    solve();
}
int solve() {
    int W, H;
    cin >> W >> H;
    vector<vector<int>> A(H, vector<int>(W, 0));
    for (auto &v : A)
        for (auto &e : v) cin >> e;
    GridGraph<int> g(H, W);
    for (int i = 0; i < H; ++i) {
        for (int j = 0; j < W; ++j) {
            for (int k = 0; k < 4; ++k) {
                int ni = i + dx[k];
                int nj = j + dy[k];
                if (not g.inside(ni, nj)) continue;
                if (A[i][j] != A[ni][nj]) continue;
                g.add_arc(i, j, ni, nj);
            }
        }
    }
    auto cyc = cycle_detection(g, false);
    if (cyc.empty()) {
        cout << "impossible" << endl;
    } else {
        cout << "possible" << endl;
    }
    return 0;
}
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