(Solved) : 113 Hash Function Strings Numbers Derives Numerical Hash Value H S Text String S Example A Q44011879 . . .
1.13. A hash function from strings to numbers derives anumerical hash value h(s) from a text string s; for example, byadding up the numerical codes for the characters in s, dividing bya prime number p, and keeping just the remainder. The point of ahash function is to yield a reproducible result (calculating h(s)twice for the same string s yields the same numerical value) and tomake it likely that the hash values for different strings will bespread out evenly across the possible hash values (from 0 to p −1). If the hash function has identical hash values for twodifferent strings, then these two strings are said to collide onthat hash value. We count the number of collisions on a hash valueas 1 less than the number of strings that have that hash value, soif 2 strings have the same hash value there is 1 collision on thathash value. If there are m strings and p possible hash values, whatis the minimum number of collisions that must occur on the hashvalue with the most collisions? The maximum number of collisionsthat might occur on some hash value?
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Answer to 1.13. A hash function from strings to numbers derives a numerical hash value h(s) from a text string s; for example, by …
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