mod=10**9+7 # 行列の計算(numpyを使えないとき,modを使用) def prod(A,B,k,l,m):# A:k*l,B:l*m C=[[None for i in range(m)] for j in range(k)] for i in range(k): for j in range(m): ANS=0 for pl in range(l): ANS=(ANS+A[i][pl]*B[pl][j])%mod C[i][j]=ANS return C def plus(A,B,k,l):# a,B:k*l C=[[None for i in range(l)] for j in range(k)] for i in range(k): for j in range(l): C[i][j]=(A[i][j]+B[i][j])%mod return C C,n,M=map(int,input().split()) INV=pow(C,mod-2,mod) A=[[0]*(C*2) for i in range(2*C)] for i in range(C): A[i][i]=INV for j in range(C,2*C): if i+C!=j: A[i][j]=INV for i in range(C): A[i+C][i]=1 POWA=[A] for i in range(60): POWA.append(prod(POWA[-1],POWA[-1],2*C,2*C,2*C)) # ベキを求めて X=[[0]*(C*2)] X[0][0]=1 while n: X=prod(X,POWA[n.bit_length()-1],1,2*C,2*C) # n乗の場合 n-=1<<(n.bit_length()-1) #print(X[0][0]) t=X[0][0] print((1-pow((1-t),M,mod))%mod)