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Using airSlate SignNow’s eSignature any business can speed up signature workflows and eSign in real-time, delivering a better experience to customers and employees. fill successor ordered in a few simple steps. Our mobile-first apps make working on the go possible, even while offline! Sign documents from anywhere in the world and close deals faster.
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Fill successor ordered
welcome back to the cracking paying youtube channel today we're going to be solving lead code problem 285 in-order successor in a binary search tree given the root of a binary search tree and a node p in it return the in order successor of that node in the binary search tree if the given node has no in order successor in the tree return null the successor of a node p is the node with the smallest key greater than p dot val so for example if we were given that p equals 4 then we should be returning 5 because that's the next greatest element you know greater than 4. so how might we solve this problem well an immediate naive solution is simply to perform an in-order traversal of this binary tree so we're going to do the inorder uh traversal and the reason that we do an in-order traversal is because remember that for a binary search tree if we perform an inorder traversal it's going to return the nodes in sorted order so for example it would return one two three four five and six and you know we'd return an array like this then what we could do is traverse this array and find our node um you know p equals four here so we'd find the node and then the next greatest element is simply the element whose index is one greater than the one that we found for if it happens to be that we found the you know element we're looking for and it's at the end then there is no inorder successor and we would simply return none but in this case it's the five so this is the naive solution so you know we'll achieve a run time of big o of n which doesn't seem that bad but because we need this array to store the values we're also going to have a big o of n space complexity which we can actually bring down to big o of one if we are a little bit more clever and figure out how to do this in place without needing to parse out the entirety of the binary search tree first so let's think about how we might solve that more optimally we went over the naive solution to this problem but i mentioned that there's a better solution in which we can actually use no space well the way that we're going to do this is we're going to make use of the properties of our binary search tree and remember that in a binary search tree for any given node so let's say we're at this node 5 every node in its left subtree must have a value less than 5 and every node in its right subtree must have a value greater than 5 and that is the definition of a binary search tree we can know that this is true because we're given a valid...
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