Question

In the function towers given in towers.c of your lab2 program, how does the statement "unsigned int spare = 6 - (N+1);" in the first line of the routine change in case the number of pegs is set to N instead of 3 pegs given in program. Rewrite the statement for N pegs.

Answer 1

The code 'unsigned int spare = 6 - (N+1);' works for a 3-peg Towers of Hanoi problem by determining the spare peg. For N pegs, a direct replacement code cannot be provided without additional context, as the method for determining the spare peg will be more complex.

Step-by-step explanation:

The line of code in question is written for a scenario where there are 3 pegs in the Towers of Hanoi problem. In this context, 'spare' represents the peg that is neither the source nor the destination.

If the number of pegs is increased to N, we need to adjust the formula to find the spare peg dynamically. However, without additional context on how pegs are identified or utilized within the program, we cannot provide a direct replacement statement for any N pegs scenario.

Typically, the method for determining the spare peg will become more complex as it might involve choosing between multiple spare pegs, possibly using an algorithmic approach or additional data structures to keep track of available pegs.