tree.coffee

getMaxWithAndMaxDepth = (root, depth=0, depthToWidth=[])->
  if !depthToWidth[depth] then depthToWidth[depth] = 0
  depthToWidth[depth] += root.children.length
  getMaxWithAndMaxDepth child, depth+1, depthToWidth for child in root.children
  maxDepth = depthToWidth.length
  maxWidth = _.max depthToWidth
  {maxWidth, maxDepth}