#include "bits/stdc++.h" using namespace std; typedef long long ll; typedef pair pii; typedef pair pll; const int INF = 1e9; const ll LINF = 1e18; template ostream& operator << (ostream& out,const pair& o){ out << "(" << o.first << "," << o.second << ")"; return out; } template ostream& operator << (ostream& out,const vector V){ for(int i = 0; i < V.size(); i++){ out << V[i]; if(i!=V.size()-1) out << " ";} return out; } template ostream& operator << (ostream& out,const vector > Mat){ for(int i = 0; i < Mat.size(); i++) { if(i != 0) out << endl; out << Mat[i];} return out; } template ostream& operator << (ostream& out,const map mp){ out << "{ "; for(auto it = mp.begin(); it != mp.end(); it++){ out << it->first << ":" << it->second; if(mp.size()-1 != distance(mp.begin(),it)) out << ", "; } out << " }"; return out; } /* 問題文============================================================ ================================================================= 解説============================================================= ================================================================ */ const ll MOD = 1000000007; /* kitamasa法 F(x) = Σ_{i=1..N} A(x,i)*F(i) F(K)をO(N^2 logK)で求める calc関数で F_K = A0*F0 + A1*F1 + ... A_K-1*F_K-1 => return F_N を返す 自分メモ 普段頭の中では以下の形で行列を考えているので、代入値に注意 (A0,A1,....,A_K-1) |F_K-1 | |... | |F1 | |F0 | */ struct kitamasa{ vector mul(const vector& v1,const vector& v2,const vector& A,const ll M){ int N =(int)v1.size(); vector ret(2*N,0); for(int i = 0; i < N;i++){ for(int j = 0; j < N;j++){ if(v1[i] == 0 && v2[j] == 0) continue; (ret[i+j] += v1[i]*v2[j]%M + M)%=M; } } for(int i = 2*N-2; i>= N;i--){ if(ret[i] == 0) continue; for(int j = 1; j <= N; j++){ if(A[N-j] == 0) continue; (ret[i-j] += A[N-j]*ret[i]%M + M)%=M; } } ret = vector(ret.begin(),ret.begin()+N); return ret; } vector pow(ll N,const vector& A,const ll M){ int _n = (int)A.size(); vector ret(_n,0),v(_n,0); ret[0] = v[1] = 1; while(N > 0){ if(N&1) ret = this->mul(ret,v,A,M); v = this->mul(v,v,A,M); N>>=1; } return ret; } // F_K = A0*F0 + A1*F1 + ... A_K-1*F_K-1 => return F_N ll calc(ll N,const vector& F,const vector& A,const ll M){ ll ret = 0; vector PowA = this->pow(N,A,M); for(int i = 0; i < F.size();i++) (ret += F[i]*PowA[i]%M + M)%=M; return ret; } }; const ll prime[6] = {2,3,5,7,11,13}; const ll comp[6] = {4,6,8,9,10,12}; ll solve(){ ll res = 0; ll N,P,C; cin >> N >> P >> C; ll M = 13*P + 12*C; vector> dp(P+C+1,vector(M+1)); dp[0][0] = 1; for(int k = 0; k < 6;k++){ for(int m = 0; m < M;m++){ for(int i = 0; i < P;i++){ if(dp[i][m] == 0) continue; (dp[i+1][m+prime[k]]+=dp[i][m])%=MOD; } } } for(int k = 0; k < 6;k++){ for(int m = 0; m < M;m++){ for(int i = (int)P; i < P+C;i++){ if(dp[i][m] == 0) continue; (dp[i+1][m+comp[k]]+=dp[i][m])%=MOD; } } } auto comb = dp[P+C]; // mat A(M,vec(M)); // for(int i = 1; i <= M;i++) A[0][i-1] = comb[i]; // for(int i = 1; i < M;i++) A[i][i-1] = 1; // mat B(M,vec(1,1)); // // mat PowA = pow(A,N+M-1,MOD); // mat F = mul(PowA,B,MOD); // res = F[M-1][0]; // F_K = A0*F0 + A1*F1 + ... A_K-1*F_K-1 vector F(M,1),A(M,0); for(int i = 0; i < M;i++) A[i] = comb[M-i]; kitamasa kt; res = kt.calc(N+M-1,F,A,MOD); return res; } int main(void) { cin.tie(0); ios_base::sync_with_stdio(false); cout << solve() << endl; return 0; }