local mod = 1000000007 local mfl = math.floor local function bmul(x, y) local x1, y1 = mfl(x / 31623), mfl(y / 31623) local x0, y0 = x - x1 * 31623, y - y1 * 31623 return (x1 * y1 * 14122 + (x1 * y0 + x0 * y1) * 31623 + x0 * y0) % mod end local function badd(x, y) return (x + y) % mod end local function bsub(x, y) return x < y and x - y + mod or x - y end local n, k = io.read("*n", "*n") local a = {} for i = 1, n do a[i] = io.read("*n") end local function solve1() local totsum = 0 for i = 1, n do totsum = badd(totsum, a[i]) end local cur = totsum for i = n + 1, k do a[i] = cur totsum = badd(totsum, a[i]) cur = badd(cur, a[i]) cur = bsub(cur, a[i - n]) end print(a[k] .. " " .. totsum) end local function solve2() local mat = {} for i = 1, n + 1 do mat[i] = {} for j = 1, n + 1 do mat[i][j] = 0 end end for i = 1, n do mat[1][i] = 1 end for i = 1, n - 1 do mat[i + 1][i] = 1 end for i = 1, n + 1 do mat[n + 1][i] = 1 end local vec = {} for i = 1, n do vec[i] = a[n + 1 - i] end vec[n + 1] = 0 for i = 1, n do vec[n + 1] = badd(vec[n + 1], a[i]) end k = k - n n = n + 1 local tmpmat = {} for i = 1, n do tmpmat[i] = {} end local tmpvec = {} local function matmat() for i = 1, n do for j = 1, n do local v = 0 for k = 1, n do v = badd(v, bmul(mat[i][k], mat[k][j])) end tmpmat[i][j] = v end end for i = 1, n do for j = 1, n do mat[i][j] = tmpmat[i][j] end end end local function matvec() for i = 1, n do local v = 0 for k = 1, n do v = badd(v, bmul(mat[i][k], vec[k])) end tmpvec[i] = v end for i = 1, n do vec[i] = tmpvec[i] end end while 0 < k do if k % 2 == 1 then matvec() end matmat() k = mfl(k / 2) end print(vec[1] .. " " .. vec[n]) end if k <= 1000000 then solve1() else solve2() end