def main(io) n, k = io.get2 dp1 = Array.new(n) { Array.new(k) { Array.new(k, Mint.zero) } } dp2 = Array.new(n) { Array.new(k) { Array.new(k, Mint.zero) } } (0...k).each do |j| (0...k).each do |l| if j != l dp1[1][j][l] = Mint.new(1) dp2[1][j][l] = Mint.new(j+l) end end end (1...n-1).each do |i| (0...k).each do |j| c1 = CumulativeSum.new(Array.new(k) { |l| dp1[i][l][j] }) c2 = CumulativeSum.new(Array.new(k) { |l| dp2[i][l][j] }) (0...k).each do |l| if j > l dp1[i+1][j][l] = c1[...j] - dp1[i][l][j] dp2[i+1][j][l] = c2[...j] - dp2[i][l][j] + dp1[i+1][j][l]*l elsif j < l dp1[i+1][j][l] = c1[j+1...] - dp1[i][l][j] dp2[i+1][j][l] = c2[j+1...] - dp2[i][l][j] + dp1[i+1][j][l]*l end end end end ans1 = dp1[-1].map(&.sum).sum ans2 = dp2[-1].map(&.sum).sum io.put ans1, ans2 end class CumulativeSum(T) def initialize(a : Array(T)) @n = a.size @s = Array(T).new(@n+1, T.additive_identity) (0...@n).each do |i| @s[i+1] = @s[i] + a[i] end end getter n : Int32 def [](r : Range) b = r.begin b = if b.nil? 0 elsif b < 0 @n + b else b end e = r.end e = if e.nil? @n elsif e < 0 r.excludes_end? ? @n + e : @n + e + 1 else r.excludes_end? ? e : e + 1 end @s[e] - @s[b] end end macro min_u(a, b) {{a}} = Math.min({{a}}, {{b}}) end macro max_u(a, b) {{a}} = Math.max({{a}}, {{b}}) end def isqrt(n : Int32) m = 46340 r = (1..m).bsearch { |i| i**2 > n } r.nil? ? m : r - 1 end def powr(a : T, n : Int, i : T = T.multiplicative_identity) forall T powr(a, n, i) { |a, b| a * b } end def powr(a : T, n : Int, i : T = T.multiplicative_identity, &block) forall T return i if n == 0 r, b = i, a while n > 0 r = yield r, b if n.bit(0) == 1 b = yield b, b n >>= 1 end r end def ext_gcd(a : T, b : T) forall T if a == 0 {b, T.new(0), T.new(1)} else g, x, y = ext_gcd(b%a, a) {g, y-(b//a)*x, x} end end abstract struct ModInt < Number def self.zero self.new(0) end def self.additive_identity self.new(0) end def self.multiplicative_identity self.new(1) end def initialize(v : Int) @v = (v % @@mod).to_i64 end def_hash @@mod, @v def to_s @v.to_s end def to_s(io : IO) : Nil @v.to_s(io) end getter v : Int64 delegate to_i, to: @v def ==(r : self) @v == r.v end def ==(r : Int) @v == (r % @@mod) end def - : self m(-@v) end def +(r : self) m(@v + r.v) end def +(r : Int) self + m(r) end def -(r : self) m(@v - r.v) end def -(r : Int) self - m(r) end def *(r : self) m(@v * r.v) end def *(r : Int) self * m(r) end def //(r : self) self * r.inv end def //(r : Int) self // m(r) end def **(n : Int) powr(self, n) end def inv m(ext_gcd(@v.to_i32, @@mod)[1]) end private def m(v : Int) self.class.new(v) end end struct Mint < ModInt; @@mod : Int32 = 998244353; end class ProconIO def initialize @buf = [] of String @index = 0 end def get(k : T.class = Int32) forall T get_v(k) end def get(*ks : T.class) forall T ks.map { |k| get_v(k) } end macro define_getn {% for i in (2..9) %} def get{{i}}(k : T.class = Int32) forall T get({% for j in (1..i) %}k{% if j < i %}, {% end %}{% end %}) end {% end %} end define_getn def get_a(n : Int, k : T.class = Int32) forall T Array.new(n) { get_v(k) } end def get_c(n : Int, k : T.class = Int32) forall T get_a(n, k) end def get_c(n : Int, *ks : T.class) forall T a = Array.new(n) { get(*ks) } ks.map_with_index { |_, i| a.map { |e| e[i] } } end macro define_getn_c {% for i in (2..9) %} def get{{i}}_c(n : Int, k : T.class = Int32) forall T get_c(n, {% for j in (1..i) %}k{% if j < i %}, {% end %}{% end %}) end {% end %} end define_getn_c def get_m(r : Int, c : Int, k : T.class = Int32) forall T Array.new(r) { get_a(c, k) } end def put(*vs) vs.each.with_index do |v, i| put_v(v) print i < vs.size - 1 ? " " : "\n" end end def put_e(*vs) put(*vs) exit end private def get_v(k : Int32.class); get_token.to_i32; end private def get_v(k : Int64.class); get_token.to_i64; end private def get_v(k : String.class); get_token; end private def get_token if @buf.size == @index @buf = read_line.split @index = 0 end v = @buf[@index] @index += 1 v end private def put_v(vs : Enumerable) vs.each_with_index do |v, i| print v print " " if i < vs.size - 1 end end private def put_v(v) print v end end main(ProconIO.new)