How to resolve the algorithm Look-and-say sequence step by step in the C programming language

Published on 7 June 2024 03:52 AM
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How to resolve the algorithm Look-and-say sequence step by step in the C programming language

Table of Contents

Problem Statement

The   Look and say sequence   is a recursively defined sequence of numbers studied most notably by   John Conway.

The   look-and-say sequence   is also known as the   Morris Number Sequence,   after cryptographer Robert Morris,   and the puzzle   What is the next number in the sequence 1,   11,   21,   1211,   111221?   is sometimes referred to as the Cuckoo's Egg,   from a description of Morris in Clifford Stoll's book   The Cuckoo's Egg.

Sequence Definition

An example:

Write a program to generate successive members of the look-and-say sequence.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Look-and-say sequence step by step in the C programming language

The provided C code generates and prints the look-and-say sequence. The look-and-say sequence is a sequence of numbers where each term is the number of times the previous term repeats itself, followed by the term itself.

Here's how the code works:

  1. Initialize three character pointers: a, b, and x. a is initially allocated memory for two characters (to store the first number, "1"). b is initially a null pointer, and x is used as a temporary variable.

  2. Enter a for loop that continues until b can't be reallocated to a larger size.

  3. Inside the loop:

    • Print the value of x, which is a copy of the current string in a.
    • Count the number of consecutive occurrences of each character in a and build the next term of the look-and-say sequence in b. The code uses len to keep track of the current length of b and cnt to count consecutive occurrences of a character.
    • Update a to point to the newly allocated memory for b and set x to a (so x points to the current string).
  4. Continue the loop until realloc fails, indicating that no more memory can be allocated.

This code will print the look-and-say sequence, starting with "1" and continuing indefinitely. The first few terms of the sequence are:

1
11
21
1211
111221
312211
13112221
1113213211
...

Source code in the c programming language

#include <stdio.h>
#include <stdlib.h>

int main()
{
	char *a = malloc(2), *b = 0, *x, c;
	int cnt, len = 1;

	for (sprintf(a, "1"); (b = realloc(b, len * 2 + 1)); a = b, b = x) {
		puts(x = a);
		for (len = 0, cnt = 1; (c = *a); ) {
			if (c == *++a)
				cnt++;
			else if (c) {
				len += sprintf(b + len, "%d%c", cnt, c);
				cnt = 1;
			}
		}
	}

	return 0;
}


  

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