The integers 5, 26, 41, 18, 16, 4, 13 are to be stored in a closed bucket hash table of length 7. Write a suitable hash function and show where each of the integers would be stored in the table, assuming the order of insertion is from left to right.

Hash Function:

h(key) = key % 7

Insertion Order:

5, 26, 41, 18, 16, 4, 13

Hash Table:

Index | Value
------ | ----
0      | 13
1      | 16
2      | 4
3      | 26
4      | 41
5      | 5
6      | 18

Explanation:

• 5: h(5) = 5 % 7 = 5, so 5 is stored at index 5.
• 26: h(26) = 26 % 7 = 3, so 26 is stored at index 3.
• 41: h(41) = 41 % 7 = 4, so 41 is stored at index 4.
• 18: h(18) = 18 % 7 = 4, so 18 is stored at index 4. (Collision with 41)
• 16: h(16) = 16 % 7 = 2, so 16 is stored at index 2.
• 4: h(4) = 4 % 7 = 4, so 4 is stored at index 4. (Collision with 41 and 18)
• 13: h(13) = 13 % 7 = 6, so 13 is stored at index 6.

Note: Collisions occur when two or more keys hash to the same index. In this case, collisions are resolved using chaining. We can use a linked list or another data structure to store multiple values at the same index.