#include "bits/stdc++.h" #include #include #include #include #include #pragma warning(push) #pragma warning(disable:26498 26450 26451 26812) #include "atcoder/all" #pragma warning(pop) #include //#include //using namespace boost::multiprecision; // std::fixed << std::setprecision(10) << using namespace std; using namespace atcoder; using ll = long long; using ull = unsigned long long; using mint = modint998244353; using mint2 = modint1000000007; const double eps = 1e-9; #define REP(i, n) for (ll i = 0; i < ll(n); ++i) #define REPI(i, init, n) for (ll i = init; i < ll(n); ++i) #define REPD(i, init) for (ll i = init; i >=0; --i) #define REPDI(i, init, n) for (ll i = init; i >=n; --i) #define REPE(i, c) for (const auto& i : c) using vl = vector; #define VL(a, n) vector a; a.assign(n, 0); #define VLI(a, n) vector a; a.assign(n, 0); for(auto& x : a) cin >> x; #define VSI(a, n) vector a; a.assign(n, ""); for(auto& x : a) cin >> x; using vvl = vector>; #define VVLI(a, n, m, init) vector> a(n); for(auto& x : a) x.assign(m, init); using pl = pair; struct uv { ll u; ll v; ll c; }; #define VUVI(a, n) vector a; a.assign(n, {0, 0, 1}); for(auto& x : a) {cin >> x.u >> x.v; x.u--; x.v--;} #define VUVCI(a, n) vector a; a.assign(n, {0, 0, 0}); for(auto& x : a) {cin >> x.u >> x.v >> x.c; x.u--; x.v--;} vvl to_edge(const ll n, const vector& v) { vvl ret(n); for (auto& x : v) ret[x.u].push_back(x.v); return ret; } vvl to_edge_d(const ll n, const vector& v) { vvl ret(n); for (auto& x : v) { ret[x.u].push_back(x.v); ret[x.v].push_back(x.u); } return ret; } template using pql = priority_queue; template using pqg = priority_queue, greater>; using vm = vector; using vvm = vector; const char* YES = "Yes"; const char* NO = "No"; void yn(bool f) { std::cout << (f ? YES : NO) << endl; }; template void ov(const T& v) { for (auto it = v.begin(); it != v.end(); it++) { if (it != v.begin()) cout << " "; cout << *it; } }; template<> void ov(const vm& v) { for (auto it = v.begin(); it != v.end(); it++) { if (it != v.begin()) cout << " "; cout << it->val(); } }; const ll llhuge = 1LL << 60; //十分でかいが多少足しても溢れない数値 template bool chmin(T& a, const U& b) { a = min(a, b); return b == a; } template bool chmax(T& a, const U& b) { a = max(a, b); return b == a; } template void mysort(T& v) { std::sort(begin(v), end(v)); }; template void mysort(T& v, U pr) { std::sort(begin(v), end(v), pr); }; template void myrev(T& v) { std::reverse(begin(v), end(v)); }; using mat_row = vector; using mat = vector; mat make_mat(ll size, modint init = 0) { return mat(size, mat_row(size, init)); } vector operator*(const mat& a, const vector& b) { vector ret(a[0].size()); for (size_t i = 0; i < a[0].size(); ++i) { for (size_t j = 0; j < a.size(); ++j) { ret[i] += a[i][j] * b[j]; } } return ret; } mat operator*(const mat& a, const mat& b) { mat c(a.size(), mat_row(b[0].size())); for (size_t i = 0; i < c.size(); ++i) for (size_t j = 0; j < c[0].size(); ++j) for (size_t k = 0; k < a[0].size(); ++k) c[i][j] += a[i][k] * b[k][j]; return c; } mat pow(mat a, ll n) { mat res(a.size(), mat_row(a[0].size())); for (size_t i = 0; i < res.size(); ++i) res[i][i] = 1; for (; n; n /= 2) { if (n & 1) res = res * a; a = a * a; } return res; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); ll n, b; cin >> n >> b; VLI(a1, 3); VLI(a2, 3); VLI(a3, 3); if (a1[0] == 0 && a1[1] == 0 && a1[2] == 0 && a2[0] == 0 && a2[1] == 0 && a2[2] == 0 && a3[0] == 0 && a3[1] == 0 && a3[2] == 0) { cout << "infty" << endl; return 0; } modint::set_mod(b); auto m = make_mat(3); REP(i, 3) { m[0][i] = a1[i]; m[1][i] = a2[i]; m[2][i] = a3[i]; } m = pow(m, n); //rank mat_row m2(3); mat_row m3(3); mat_row m4(3); ll rk = 3; REP(i, 3) { if (m[0][0] != 0 && m[1][0] != 0) m2[i] = m[1][i] * m[0][0] - m[0][i] * m[1][0]; else m2[i] = m[1][i] - m[0][i]; if (m[0][0] != 0 && m[2][0] != 0) m3[i] = m[2][i] * m[0][0] - m[0][i] * m[2][0]; else m3[i] = m[2][i] - m[0][i]; if (m[1][0] != 0 && m[2][0] != 0) m4[i] = m[2][i] * m[1][0] - m[1][i] * m[2][0]; else m4[i] = m[2][i] - m[1][i]; } if (m2[0] == 0 && m2[1] == 0 && m2[2] == 0) { if (m3[0] == 0 && m3[1] == 0 && m3[2] == 0) { rk = 1; } else { rk = 2; } } else if (m3[0] == 0 && m3[1] == 0 && m3[2] == 0) { rk = 2; } else if (m4[0] == 0 && m4[1] == 0 && m4[2] == 0) { rk = 2; } if (rk == 3) { auto s = (m[0][1] * m[1][2] - m[0][2] * m[1][1]) * m[2][0] + (m[0][2] * m[1][0] - m[0][0] * m[1][2]) * m[2][1] + (m[0][0] * m[1][1] - m[0][1] * m[1][0]) * m[2][2]; cout << s.inv().val() << endl; } else { cout << 0 << endl; } }