Write a method shift
that takes a stack of integers and an integer n as parameters and that shifts n values from the bottom of the stack to the top of the stack. For example, if a variable called s
stores the following sequence of values:
bottom [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] top
If we make the call shift(s, 6);
the method shifts the six values at the bottom of the stack to the top of the stack and leaves the other values in the same order producing:
bottom [7, 8, 9, 10, 6, 5, 4, 3, 2, 1] top
Notice that the value that was at the bottom of the stack is now at the top, the value that was second from the bottom is now second from the top, the value that was third from the bottom is now third from the top, and so on, and that the four values not involved in the shift are now at the bottom of the stack in their original order. If s
had stored these values instead:
bottom [7, 23, -7, 0, 22, -8, 4, 5] top
If we make the following call: shift(s, 3);
then s
should store these values after the call:
bottom [0, 22, -8, 4, 5, -7, 23, 7] top
You are to use one queue as auxiliary storage to solve this problem. You may assume that the parameter n is >= 0 and not larger than the number of elements in the stack.