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1. Introduction
Reversing a string is a classic problem that can be solved using various techniques. In the context of programming, a recursive function is one that calls itself in order to divide a problem into smaller, more manageable sub-problems. To reverse a string recursively, we reduce the problem to reversing all but the first character and then appending the first character to the result.
2. Program Steps
1. Define a recursive function that takes a string as input.
2. If the string is empty or has a single character, return the string.
3. Otherwise, call the function recursively with the sub-string excluding the first character, then append the first character.
4. Continue until the base case is reached.
3. Code Program
# Function to reverse a string using recursion def reverse_recursive(s): # Base case: if the string is empty or a single character, return it if len(s) <= 1: return s # Recursive case: reverse the rest of the string and append the first character return reverse_recursive(s[1:]) + s[0] # String to be reversed input_string = "Recursion" # Call the recursive function reversed_string = reverse_recursive(input_string) # Print the reversed string print(f"The reversed string is: {reversed_string}")
Output:
The reversed string is: noisruceR
Explanation:
1. reverse_recursive is a recursive function that takes s as its argument.
2. It checks if s is empty or has a single character with len(s) <= 1. If true, it returns s as the base case.
3. If not, the function calls itself with s[1:], which is s without the first character, and then appends the first character s[0] to the result.
4. This process continues, building the reversed string from the end to the beginning, until the base case is met.
5. input_string is set to "Recursion".
6. The function is called with input_string, resulting in the reversed string noisruceR.
7. The result is then printed out, showing the reversal of the input string.
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