local bls, brs = bit.lshift, bit.rshift local mod = 998244353 local mfl = math.floor local function bmul(x, y) local x0, y0 = x % 31596, y % 31596 local x1, y1 = mfl(x / 31596), mfl(y / 31596) return (x1 * y1 * 62863 + (x1 * y0 + x0 * y1) * 31596 + x0 * y0) % 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 fact = {1} local invs = {1} local invfact = {1} for i = 2, 100010 do fact[i] = bmul(fact[i - 1], i) invs[i] = bmul(mfl(mod / i), mod - invs[mod % i]) invfact[i] = bmul(invfact[i - 1], invs[i]) end local Heapq = {} Heapq.create = function(self, lt) self.lt = lt self.cnt = 0 self.t = {} end Heapq.push = function(self, v) local hqlt = self.lt local hqt = self.t local c = self.cnt + 1 self.cnt = c hqt[c] = v while 1 < c do local p = brs(c, 1) if hqlt(hqt[c], hqt[p]) then hqt[c], hqt[p] = hqt[p], hqt[c] c = p else break end end end Heapq.pop = function(self) local hqlt = self.lt local hqt = self.t local ret = hqt[1] local c = self.cnt hqt[1] = hqt[c] c = c - 1 self.cnt = c local p = 1 while true do local d1, d2 = p * 2, p * 2 + 1 if c < d1 then break elseif c < d2 then if hqlt(hqt[d1], hqt[p]) then hqt[d1], hqt[p] = hqt[p], hqt[d1] end break else if hqlt(hqt[d1], hqt[d2]) then if hqlt(hqt[d1], hqt[p]) then hqt[d1], hqt[p] = hqt[p], hqt[d1] p = d1 else break end else if hqlt(hqt[d2], hqt[p]) then hqt[d2], hqt[p] = hqt[p], hqt[d2] p = d2 else break end end end end return ret end Heapq.new = function(lt) local obj = {} setmetatable(obj, {__index = Heapq}) obj:create(lt) return obj end local q = io.read("*n") for iq = 1, q do local n, k = io.read("*n", "*n") local a = {} local box = {} local asum = 0 for i = 1, n do a[i] = io.read("*n") box[i] = 1 asum = asum + a[i] end local hq = Heapq.new(function(x, y) return a[x] * box[y] > a[y] * box[x] end) for i = 1, n do hq:push(i) end local ret = bmul(fact[k], modpow(modinv(asum), k)) for i = 1, k do local idx = hq:pop() ret = bmul(ret, bmul(a[idx], invs[box[idx]])) box[idx] = box[idx] + 1 hq:push(idx) end print(ret) end