# -*- coding: utf-8 -*- # 想定解(1) def matmult(A,B): # 正方行列A*B n=len(A) C=[[0 for i in range(n)] for j in range(n)] for x in range(n): for z in range(n): for y in range(n): C[x][y] += A[x][z]*B[z][y] C[x][y] %= mo; return list(C) def matpow(A,p): # 正方行列A^p n=len(A) A=list(A) R=[[0 for i in range(n)] for j in range(n)] for i in range(n): R[i][i]=1 while p: if p%2: R = matmult(A,R) A=matmult(A,A) p >>= 1 return R N,K = map(int, raw_input().strip().split()) F = map(int, raw_input().strip().split()) F.insert(0,0) mo = 1000000007 # まずS[N]までを求める S = [0] for i in range(1,N+1): S.append((S[i-1]+F[i]) % mo) if N > 50: # 累積和を使うケース # 順次F[i],S[i]を求める # F[i] = sum(F[i-1]...F[i-N])=S[i-1]-S[i-N-1] for i in range(N+1,K+1): F.append((S[i-1]-S[i-N-1]) % mo) S.append((S[i-1]+F[i]) % mo) print "%d %d" % (F[K], S[K]) else: # 行列累乗を使うケース A=[[0 for i in range(N+1)] for j in range(N+1)] # F[i] = sum(F[i-1]...F[i-N]) for i in range(N): A[1][i+1] = 1 # S[i] = S[i-1] + F[i] for i in range(N+1): A[0][i] = 1 for i in range(N-1): A[i+2][i+1] = 1 # 行列累乗 Ap = matpow(A,K-N) # Ap * Fを求める RetF = 0 RetS = S[N]*Ap[0][0] for i in range(1,N+1): RetF += Ap[1][i] * F[N+1-i] RetS += Ap[0][i] * F[N+1-i] print "%d %d" % (RetF % mo, RetS % mo)