/* #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") //*/ #include // #include using namespace std; // using namespace atcoder; #define DEBUG(x) cerr << #x << ": " << x << endl; #define DEBUG_VEC(v) \ cerr << #v << ":"; \ for (int iiiiiiii = 0; iiiiiiii < v.size(); iiiiiiii++) \ cerr << " " << v[iiiiiiii]; \ cerr << endl; #define DEBUG_MAT(v) \ cerr << #v << endl; \ for (int i = 0; i < v.size(); i++) { \ for (int j = 0; j < v[i].size(); j++) { \ cerr << v[i][j] << " "; \ } \ cerr << endl; \ } typedef long long ll; #define int ll #define vi vector #define vl vector #define vii vector> #define vll vector> #define vs vector #define pii pair #define pis pair #define psi pair #define pll pair template pair operator+(const pair &s, const pair &t) { return pair(s.first + t.first, s.second + t.second); } template pair operator-(const pair &s, const pair &t) { return pair(s.first - t.first, s.second - t.second); } template ostream &operator<<(ostream &os, pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } #define X first #define Y second #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rep1(i, n) for (int i = 1; i <= (int)(n); i++) #define rrep(i, n) for (int i = (int)(n)-1; i >= 0; i--) #define rrep1(i, n) for (int i = (int)(n); i > 0; i--) #define REP(i, a, b) for (int i = a; i < b; i++) #define in(x, a, b) (a <= x && x < b) #define all(c) c.begin(), c.end() void YES(bool t = true) { cout << (t ? "YES" : "NO") << endl; } void Yes(bool t = true) { cout << (t ? "Yes" : "No") << endl; } void yes(bool t = true) { cout << (t ? "yes" : "no") << endl; } void NO(bool t = true) { cout << (t ? "NO" : "YES") << endl; } void No(bool t = true) { cout << (t ? "No" : "Yes") << endl; } void no(bool t = true) { cout << (t ? "no" : "yes") << endl; } template bool chmax(T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T &a, const T &b) { if (a > b) { a = b; return 1; } return 0; } #define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end()); const ll inf = 1000000001; const ll INF = (ll)1e18 + 1; const long double pi = 3.1415926535897932384626433832795028841971L; int popcount(ll t) { return __builtin_popcountll(t); } // int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1}; // int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 }; vi dx = {0, 1, 0, -1}, dy = {-1, 0, 1, 0}; // vi dx2 = { 1,1,0,-1,-1,-1,0,1 }, dy2 = { 0,1,1,1,0,-1,-1,-1 }; struct Setup_io { Setup_io() { ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0); cout << fixed << setprecision(25); } } setup_io; const ll MOD = 1000000007; // const ll MOD = 998244353; // #define mp make_pair //#define endl '\n' vii solve(vii a, int N) { vii b(N, vi(N)); rep(i, N) { rep(j, N) { if (a[i][j] == 0) continue; for (int y = -3; y <= 3; y++) { for (int x = -3; x <= 3; x++) { if ((abs(x) == 3 or abs(y) == 3) and (x + y) % 2 != 0) { b[i + y][j + x] = 1; } } } } } return b; } vl fact(111111), rfact(111111); ll mod_pow(ll x, ll p, ll M = MOD) { ll a = 1; while (p) { if (p % 2) a = a * x % M; x = x * x % M; p /= 2; } return a; } ll mod_inverse(ll a, ll M = MOD) { return mod_pow(a, M - 2, M); } void set_fact(ll n, ll M = MOD) { fact[0] = fact[1] = rfact[0] = rfact[1] = 1; for (ll i = 2; i <= n; i++) { fact[i] = i * fact[i - 1] % M; rfact[i] = mod_inverse(fact[i], M); } } template T lagrange_polynomial(const vector &y, int64_t t) { int N = y.size() - 1; if (t <= N) return y[t]; T ret(0); vector dp(N + 1, 1), pd(N + 1, 1); for (int i = 0; i < N; i++) dp[i + 1] = dp[i] * (t - i) % MOD; for (int i = N; i > 0; i--) pd[i - 1] = pd[i] * (t - i) % MOD; for (int i = 0; i <= N; i++) { T tmp = y[i] * dp[i] % MOD * pd[i] % MOD * rfact[i] % MOD * rfact[N - i] % MOD; if ((N - i) & 1) ret -= tmp; else ret += tmp; ret %= MOD; } return (ret + MOD) % MOD; } signed main() { // ll n; // cin >> n; // if (n == 0) { // cout << 1 << endl; // } else if (n == 1) { // cout << 12 << endl; // } else { // ll m = 3 * n + 1; // m %= MOD; // cout << m * m % MOD << endl; // } // return 0; ll nn; cin >> nn; set_fact(1000); const int N = 699; vii a(N, vi(N)); a[N / 2][N / 2] = 1; // vl ans; vl y; for (int n = 0; n < 100; n++) { // DEBUG(n); int s = 0; rep(i, N) rep(j, N) s += a[i][j]; if (n >= 10) y.push_back(s); if (n == nn) { cout << s << endl; return 0; } // DEBUG_MAT(a); a = solve(a, N); // ans.push_back(s); } ll ans = lagrange_polynomial(y, nn - 10); cout << ans << endl; // ll d = nn - 10; // ll ans = 1761 + d * 329 % MOD + d * (d + 1) / 2 % MOD * 34 % MOD; // ans %= MOD; // cout << ans << endl; }