[Linear probing] Second-order probing (quadratic probing) in hash tables works so that instead of always checking...

  

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[Linear probing] Second-order probing (quadratic probing) in hash tables works so that instead of always checking the cell immediately after (ie h(k) + 1), we first check cell h(k) + 12, then in cell h(k) + 22, then h(k) + 32, etc. This only breaks up the clustering that can get really bad in a linear survey. Let's say we have an 11-key hash table (M = 11) and the hash function is h(k) = (3k + 5) mod 11. Show how the keys 31, 67, 53, 34, 89, 40, 78, 77 are hashed into The 11-piece chart. Show the calculation of each value individually, where it lands and the final table. [Linear probing] Second-order probing (quadratic probing) in hash tables works so that instead of always checking the cell immediately after (ie h(k) + 1), we first check cell h(k) + 12, then in cell h(k) + 22, then h(k) + 32, etc. This only breaks up the clustering that can get really bad in a linear survey. Let's say we have an 11-key hash table (M = 11) and the hash function is h(k) = (3k + 5) mod 11. Show how the keys 31, 67, 53, 34, 89, 40, 78, 77 are hashed into The 11-piece chart. Show the calculation of each value individually, where it lands and the final table.