import sys sys.setrecursionlimit(10 ** 6) int1 = lambda x: int(x) - 1 p2D = lambda x: print(*x, sep="\n") def II(): return int(sys.stdin.readline()) def MI(): return map(int, sys.stdin.readline().split()) def LI(): return list(map(int, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def SI(): return sys.stdin.readline()[:-1] md = 10 ** 9 + 7 def main(): def mm(aa, bb): res = [0] * (n * 2 - 1) for i, a in enumerate(aa): for j, b in enumerate(bb): res[i + j] = (res[i + j] + a * b) % md for i in range(n, 2 * n - 1): c = res[i] ffi = ff[i] for j in range(n): res[j] = (res[j] + c * ffi[j]) % md return res[:n] def v(x,base): bb = ff[x % bn][:] x //= bn while x: if x & 1: bb = mm(bb, base) base = mm(base, base) x >>= 1 return sum(a * f % md for a, f in zip(bb, f0)) % md _, t = MI() aa = LI() n = len(aa) + 1 coff = [-1] + [0] * (n - 2) + [2] f0 = [aa[0]] for x in range(1, n - 1): f0.append((f0[-1] + aa[x]) % md) f0.append(f0[-1] * 2 % md) ff = [[0] * n for _ in range(2 * n - 1)] for i in range(n): ff[i][i] = 1 for i in range(n, 2 * n - 1): ffi = ff[i] for j, c in enumerate(coff, i - n): ffj = ff[j] for k in range(n): ffi[k] = (ffi[k] + c * ffj[k]) % md bn = 1 << (n - 1).bit_length() base = ff[bn] print((v(t - 1,base) - v(t - 2,base)) % md, v(t - 1,base)) main()