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Data Structure and Algorithm: Show that any function O(100n) is also O(n) and vice versa. Show that any function O(n) is also O(n 2 ),

Data Structure and Algorithm:

Show that any function O(100n) is also O(n) and vice versa.

Show that any function O(n) is also O(n2), but show that the vice-versa is false.

Show all working.

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