How to split a tree on all possible subtrees?

Question

I'm trying to build an iterator on JS that will take a tree and on each iteration return next possible subtree.

Here is an example of source tree:

{
  name: 'A',
  children: [
    {
      name: 'B',
      children: [
        {
          name: 'E'
        },
        {
          name: 'F'
        },
      ]
    },
    {
      name: 'C',
    }
  ]
}

The result should be three iterations

1. {
  name: 'A',
  children: [ 
    { 
      name: 'B', 
      children: [ 
        {
          name: 'E'
        } 
      ]
    }
  ]
}

2. {
  name: 'A',
  children: [ 
    { 
      name: 'B', 
      children: [ 
        {
          name: 'F'
        } 
      ]
    }
  ]
}

3. {
  name: 'A',
  children: [ 
    { 
      name: 'C', 
    }
  ]
}

Could someone give me a hint or point to the right direction of how this problem could be solved?

Thanks!

Answer 1

I think recursive function is your answer.

Something like this?

(It worked using your example)

var newtrees = [];

var getTreeFromPath = function(path) {
   var newtree = {};
   var next = newtree;
   for (var i = 0 ; i < path.length;i++) {
       next.name = path[i].name;
       if (path[i].children) {
          var nextIteration = {};
          next.children = [nextIteration];
       }
       next = nextIteration;
   }
   return newtree;

}
var iterateNode = function(node, pathToNode) {
   if (!node.children) { 
       pathToNode.push(node);
       newtrees.push(getTreeFromPath(pathToNode));
   } else {
       pathToNode.push(node);
       for (var i = 0;i < node.children.length;i++) {

          iterateNode(node.children[i], pathToNode);
       }
   }
};
iterateNode(tree, []);