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I keep seeing it defined as
A complete binary tree is a binary tree in which every level, except possibly the last, is completely filled, and all nodes are as far left as possible.
But..I have no clue as to what it means by "all nodes are as far left as possible." That's..literally my question. I can't expand on it any further because I have no idea what it means by "all nodes are as far left as possible." Like..as far left as possible compared to what? I don't get it
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A complete binary tree is a binary tree in which every level, except possibly the last, is completely filled, and all nodes are as far left as possible.
Calculate the number of nodes (count) in the binary tree. Start recursion of the binary tree from the root node of the binary tree with index (i) being set as 0 and the number of nodes in the binary (count). If the current node under examination is NULL, then the tree is a complete binary tree.
A complete binary tree is a binary tree in which all the levels are completely filled except possibly the lowest one, which is filled from the left. A complete binary tree is just like a full binary tree, but with two major differences. All the leaf elements must lean towards the left.
A perfect binary tree is a complete binary tree in which the last level is full. An almost complete binary tree is a complete but not perfect binary tree. So your example is also almost complete. The terminology is confusing, but an almost complete binary tree is also complete.
The as far left as possible part applies to the last level. That is, at the last level, you should start filling nodes from the left.
For example, the following is a valid complete binary tree since at the last level, all the nodes are as far left as possible
The following is not
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