from collections import * from itertools import * from functools import * from heapq import * import sys,math input = sys.stdin.readline N,K = map(int,input().split()) A = list(map(int,input().split())) mod = 10**9 + 7 def answer1(): dp = [0]*(K) for i in range(N): dp[i] = A[i] S = sum(dp)%mod for i in range(N,K): dp[i] = S S += dp[i] - dp[i-N] S %= mod print(dp[-1],sum(dp)%mod) def matrix_mul(A,B,mod = None): nA = len(A) mA = len(A[0]) mB = len(B[0]) tmp = [[0]*mB for _ in range(nA)] if mod is None: for i in range(nA): for j in range(mB): tmp[i][j] = sum(A[i][k]*B[k][j] for k in range(mA)) return tmp for i in range(nA): for j in range(mB): tmp[i][j] = sum(A[i][k]*B[k][j]%mod for k in range(mA))%mod return tmp def matrix_pow(A,n,mod = None): nbit = list(str(bin(n))[2:]) nbit = [int(i) for i in nbit] N = len(A) C = [[0]*N for _ in range(N)] B = A for i in range(N): C[i][i] = 1 if mod is None: for i in range(len(nbit)): if nbit[-1-i] == 1: C = matrix_mul(C,B) B = matrix_mul(B,B) return C for i in range(len(nbit)): if nbit[-1-i] == 1: C = matrix_mul(C,B,mod) B = matrix_mul(B,B,mod) return C def answer2(): I = [[A[i]] for i in range(N)] + [[A[0]]] X = [[0]*(N+1) for _ in range(N+1)] for i in range(N-1): X[i][i+1] = 1 for i in range(N): X[-2][i]=1 X[-1][1]=1 X[-1][-1]=1 Y = matrix_pow(X,K-1,mod=mod) Z = matrix_mul(Y,I,mod=mod) print(Z[0][0],Z[-1][0]) if N<50: answer2() else: answer1()