#include #include #include #include #include using namespace std; // https://epubs.siam.org/doi/10.1137/1.9781611973099.139 // Nimber (64 bit) // Reference: // - https://en.wikipedia.org/wiki/Nimber // - https://kyopro-friends.hatenablog.com/entry/2020/04/07/195850 // - https://judge.yosupo.jp/submission/4542 (implementation idea) struct Nimber { using ull = unsigned long long; ull v; const static std::array, 256> small_table; const static std::array, 8>, 8> precalc; explicit operator bool() const { return v != 0; } Nimber(ull val = 0) : v(val) {} Nimber operator+(const Nimber &x) const { return Nimber(v ^ x.v); } Nimber operator-(const Nimber &x) const { return Nimber(v ^ x.v); } Nimber operator-() const { return *this; } Nimber &operator+=(const Nimber &x) { return *this = *this + x; } Nimber &operator-=(const Nimber &x) { return *this = *this + x; } template friend IStream &operator>>(IStream &is, Nimber &x) { ull v; return is >> v, x = Nimber(v), is; } template friend OStream &operator<<(OStream &os, const Nimber &x) { return os << x.v; } bool operator==(const Nimber &x) const { return v == x.v; } bool operator!=(const Nimber &x) const { return v != x.v; } bool operator<(const Nimber &x) const { return v < x.v; } static ull _rec(ull x, ull y) { if (x == 0 or y == 0) return 0; if (x < y) x ^= y, y ^= x, x ^= y; // Make x >= y if (y == 1) return x; for (int shift = 64 / 2;; shift >>= 1) { ull mask = (1ULL << shift) - 1; if (y >> shift) { ull v00 = _rec(x & mask, y & mask); ull v01 = _rec(x & mask, y >> shift); ull v10 = _rec(x >> shift, y & mask); ull v11 = _rec(x >> shift, y >> shift); return v00 ^ ((v01 ^ v10 ^ v11) << shift) ^ _rec(v11, 1ULL << (shift - 1)); } else if (x >> shift) { return (_rec(x >> shift, y) << shift) ^ _rec(x & mask, y); } } } Nimber operator*(const Nimber &x) const { if (this->v < 256 and x.v < 256) return small_table[this->v][x.v]; ull ret = 0; for (int d = 0; d < 8; ++d) { for (int e = 0; e < 8; ++e) { ret ^= precalc[d][e][small_table[(v >> (d * 8)) & 255][(x.v >> (e * 8)) & 255]]; } } return Nimber(ret); } Nimber &operator*=(const Nimber &x) { return *this = *this * x; } }; const std::array, 256> Nimber::small_table = []() { std::array, 256> ret; for (int i = 0; i < 256; ++i) { for (int j = 0; j < 256; ++j) ret[i][j] = _rec(i, j); } return ret; }(); const std::array, 8>, 8> Nimber::precalc = []() { std::array, 8>, 8> ret; for (int d = 0; d < 8; ++d) { for (int e = 0; e < 8; ++e) { ull p = _rec(1ULL << (8 * d), 1ULL << (8 * e)); for (int i = 0; i < 256; ++i) ret[d][e][i] = _rec(p, i); } } return ret; }(); struct rand_int_ { using lint = long long; mt19937 mt; rand_int_() : mt(chrono::steady_clock::now().time_since_epoch().count()) {} lint operator()(lint x) { return this->operator()(0, x); } // [0, x) lint operator()(lint l, lint r) { uniform_int_distribution d(l, r - 1); return d(mt); } } rnd; int main() { int N, M; cin >> N >> M; int x, y, z; cin >> x >> y >> z; --x, --y, --z; vector>> to(N); std::vector exist_edge(N, std::vector(N, 1)); while (M--) { int a, b; cin >> a >> b; --a, --b; exist_edge[a][b] = exist_edge[b][a] = 0; } for (int a = 0; a < N; ++a) { for (int b = 0; b < N; ++b) { if (a >= b or !exist_edge[a][b]) continue; Nimber w = rnd(1LL << 62); Nimber wn = rnd(1LL << 62); for (int t = 0; t < 2; ++t) { // to[a].emplace_back(b, w); if (b != x) to[a].emplace_back(b, w); if (b == x) to[a].emplace_back(N, wn); swap(a, b); } } } // dp[visited y flag][visited z flag][length][now][prv] vector dp(2, vector(2, vector(N + 1, vector(N + 1)))); dp[0][0][x][N] = 1; for (int t = 0; t < N; ++t) { vector dpnxt(2, vector(2, vector(N + 1, vector(N + 1)))); for (int visy = 0; visy < 2; ++visy) { for (int visz = 0; visz < 2; ++visz) { for (int now = 0; now < N; ++now) { Nimber cur = 0; for (int prv = 0; prv <= N; ++prv) cur += dp[visy][visz][now][prv]; for (auto [nxt, w] : to[now]) { if (nxt == y and visy) continue; if (nxt == z and visz) continue; dpnxt[visy | (y == nxt)][visz | (z == nxt)][nxt][now] += (cur - dp[visy][visz][now][nxt]) * w; // dpnxt[visy | (y == nxt)][visz | (z == nxt)][nxt][now] += (cur - ((now == y or now == z) ? dp[visy][visz][now][nxt] : 0)) * w; } } } } dp = dpnxt; for (int i = 0; i < N; ++i) { if (dp[1][1][N][i]) { cout << t + 1 << '\n'; // break; return 0; } } } puts("-1"); }