Problem #2: (30 points) Consider the problem of inserting the keys 10, 22, 31, 4, 15, 28, 17, 88, and 59 into a hash table of length 11 (TableSize -11) using open addressing with the standard hash function h(k) - k mod TableSize. Illustrate the result of inserting these keys using: (a) Linear probing. (b) Quadratic probing with quadratic probe function c(i) 3i2 i. (c) Double hashing with u(k) k and v(k) - 1 + (k mod(TableSize - 1))