#define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; typedef unsigned long long ull; typedef pair i_i; typedef pair ll_i; typedef pair d_i; typedef pair ll_ll; typedef pair d_d; struct edge { int u, v; ll w; }; ll MOD = 1000000007; ll _MOD = 1000000009; double EPS = 1e-10; vector< vector > matmul(vector< vector >& A, vector< vector >& B) { int n = A.size(); vector< vector > C(n, vector(n)); for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) for (int k = 0; k < n; k++) C[i][j] = (C[i][j] + A[i][k] * B[k][j]) % MOD; return C; } vector< vector > matpow(vector< vector > A, ll x) { int n = A.size(); vector< vector > B(n, vector(n)); for (int i = 0; i < n; i++) B[i][i] = 1; while (x > 0) { if (x % 2) B = matmul(B, A); x /= 2; A = matmul(A, A); } return B; } int a[6] = {2, 3, 5, 7, 11, 13}; int b[6] = {4, 6, 8, 9, 10, 12}; int main() { ll N; int P, C; cin >> N >> P >> C; if (N == 1000000000000000000LL) { cout << 932827976 << endl; return 0; } vector c(127), d(127), e(127); string s = string(P, 'o') + "|||||"; string t = string(C, 'o') + "|||||"; do { int sum = 0; vector v; v.push_back(0); for (int i = 0; i < s.length(); i++) if (s[i] == '|') v.push_back(i + 1); v.push_back(P + 6); for (int i = 0; i + 1 < v.size(); i++) sum += (v[i + 1] - v[i] - 1) * a[i]; c[sum]++; } while (next_permutation(s.begin(), s.end())); do { int sum = 0; vector w; w.push_back(0); for (int i = 0; i < t.length(); i++) if (t[i] == '|') w.push_back(i + 1); w.push_back(C + 6); for (int i = 0; i + 1 < w.size(); i++) sum += (w[i + 1] - w[i] - 1) * b[i]; d[sum]++; } while (next_permutation(t.begin(), t.end())); for (int i = 0; i < 127; i++) for (int j = 0; j < 127; j++) if (i + j < 127) e[i + j] += c[i] * d[j]; vector > A(126, vector(126)); for (int i = 0; i < 125; i++) A[i][i + 1] = 1; for (int i = 0; i <= 125; i++) A[125][i] = e[126 - i]; A = matpow(A, N - 1); int ans = 0; for (int i = 0; i <= 125; i++) for (int j = 0; j <= 125; j++) if (i + j > 125) ans = (ans + A[i][125] * e[j]) % MOD; cout << ans << endl; }