struct DSU property p : Array(Int32) def initialize(n : Int32) @p = Array.new(n, -1) end def root(x : Int32) : Int32 @p[x] < 0 ? x : (@p[x] = root(@p[x])) end def unite(x : Int32, y : Int32) x = root(x) y = root(y) return if x == y if @p[x] > @p[y] x, y = y, x end @p[x] += @p[y] @p[y] = x end def same(x : Int32, y : Int32) : Bool root(x) == root(y) end end dx = [0, 1] dy = [1, 0] input = gets.not_nil!.split w = input[0].to_i h = input[1].to_i m = Array.new(h) { gets.not_nil!.split.map(&.to_i) } uf = DSU.new(h * w) # Process vertical connections (0...h - 1).each do |i| (0...w).each do |j| if m[i][j] == m[i + 1][j] uf.unite(i * w + j, (i + 1) * w + j) end end end # Process horizontal connections and check for cycles (0...h).each do |i| (0...w - 1).each do |j| next unless m[i][j] == m[i][j + 1] if uf.same(i * w + j, i * w + j + 1) puts "possible" exit end uf.unite(i * w + j, i * w + j + 1) end end puts "impossible"