hash tables in separate chaining the time to insert new item increases linearly with the load factor is proportional to the number of items in the table is proportional to the number of lists is proportional to the percentage of full cells in the array true or falsein external hashingit' important that the records don' become full in external hashingall records with keys that hash to the same value are located in experiments carrying out these experiments will help to provide insights into the topics covered in the no programming is involved in linear probingthe time for an unsuccessful search is related to the cluster size using the hash workshop appletfind the average cluster size for items filled into cellswith load factor of consider an isolated cell (that iswith empty cells on both sidesto be cluster of size to find the averageyou could count the number of cells in each cluster and divide by the number of clustersbut there' an easier way what is itrepeat this experiment for half-dozen -item fills and average the cluster sizes repeat the entire process for load factors of and do your results agree with the chart in figure with the hashdouble workshop appletmake small quadratic hash tablewith size that is not prime numbersay fill it very fullsay items now search for non-existent key values try different keys until you find one that causes the quadratic probe to go into an unending sequence this happens because the quadratic step sizemodulo non-prime array sizeforms repeating series the moralmake your array size prime number with the hashchain appletcreate an array with cellsand then fill it with itemswith load factor of inspect the linked lists that are displayed add the lengths of all these linked lists and divide by the number of lists to find the average list length on the averageyou'll need to search this length in an unsuccessful search (actuallythere' quicker way to find this average length what is it?