Can you explain advanced recursion examples in C++?
Sure! Advanced recursion in C++ can include examples like the Tower of Hanoi, generating permutations, and solving the N-Queens problem. Which one would you like to explore first?
Let's start with the Tower of Hanoi.
Great choice! The Tower of Hanoi is a classic problem where you have three rods and a number of disks of different sizes. The goal is to move all the disks from the source rod to the destination rod, following these rules: only one disk can be moved at a time, and no larger disk may be placed on top of a smaller disk. Would you like to see the recursive solution in C++?
Yes, please show me the code.
Here's a simple recursive implementation in C++:
#include <iostream>
using namespace std;
void towerOfHanoi(int n, char source, char destination, char auxiliary) {
if (n == 1) {
cout << "Move disk 1 from " << source << " to " << destination << endl;
return;
}
towerOfHanoi(n - 1, source, auxiliary, destination);
cout << "Move disk " << n << " from " << source << " to " << destination << endl;
towerOfHanoi(n - 1, auxiliary, destination, source);
}
int main() {
int n = 3; // Number of disks
towerOfHanoi(n, 'A', 'C', 'B');
return 0;
}
This code will move 3 disks from rod A to rod C using rod B as auxiliary.
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