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hey and welcome to the insertion deletion portion of skip lists so the first thing we do is a performance ershon and for insertion and deletion we had to remember that we always have to search for the key first so in this instance were gonna try to add 42 to the Skip list well that means we need to find the largest key less than or equal to 42 now 42 could exists and if thats the case if 42 does exist we just replace the the 40 the note holding 42 we just replace it with the one that were trying to insert thats that okay yeah you could do replacing the key value pair so it could be a different value but the same key but lets say thats not the case say he doesnt exist so the first thing we got to do is search for again the largest key less than equal to 42 so we have to start up here and we always drop down a little first and then we try to scan forward as much as possible so we can go over to 17 because its less than equal to 40 to positive infinity is not so now its a drop do