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 modpow(src, pow) local res = 1 while 0 < pow do if pow % 2 == 1 then res = bmul(res, src) pow = pow - 1 end src = bmul(src, src) pow = mfl(pow / 2) end return res end local function modinv(src) return modpow(src, mod - 2) end local invs = {1} local invfact = {1} for i = 2, 10001 do invs[i] = bmul(mfl(mod / i), mod - invs[mod % i]) invfact[i] = bmul(invfact[i - 1], invs[i]) end local fact = {1} for i = 2, 10001 do fact[i] = bmul(fact[i - 1], i) end local function getComb(n, k) if k == 0 or k == n then return 1 end return bmul(fact[n], bmul(invfact[k], invfact[n - k])) end local function lltonumber(str) local ret = 0LL for i = 1, #str do ret = ret * 10LL + str:sub(i, i):byte() - 48 end return ret end local s = io.read() local tm1 = os.clock() local n, k = s:match("(%d+) (%d+)") n = lltonumber(n) k = tonumber(k) local b = {1} for i = 1, k do local sum = invfact[i + 1] -- b[1] * invfact[i + 1 - j] for j = 1, i - 1 do sum = badd(sum, bmul(b[j + 1], bmul(invfact[i + 1 - j], invfact[j]))) -- sum = badd(sum, bmul(b[j + 1], getComb(i + 1, j))) end b[i + 1] = mod - bmul(sum, fact[i]) -- b[i + 1] = mod - bmul(sum, bmul(fact[i + 1], invs[i + 1])) end local tm2 = os.clock() -- print(tm2 - tm1) if n == 1LL then print(1) else local nm = (n + 1LL) % 1000000007LL nm = tostring(nm):gsub("LL", "") nm = tonumber(nm) local sum = 0 local nmul = nm for i = k, 0, -1 do local v = bmul(getComb(k + 1, i), bmul(b[i + 1], nmul)) sum = badd(sum, v) nmul = bmul(nmul, nm) end sum = bmul(sum, invs[k + 1]) print(sum) end