Step by Step solution about How to resolve the algorithm Topswops step by step in the Go programming language

The code you provided is a Go program that calculates the minimum number of steps required to sort a deck of cards using the Topswop algorithm.

The Topswop algorithm is a sorting algorithm that works by repeatedly swapping pairs of cards until the deck is sorted. The algorithm is known for its simplicity and efficiency, and it can be used to sort a deck of cards in linear time.

The code begins by creating two arrays, a and b, which will be used to store the state of the deck at each step of the algorithm. The array a stores the number of cards in each pile, and the array b stores a flag indicating whether or not each pile is sorted.

The code then enters a loop that iterates through the cards in the deck. For each card, the code checks if the card is in the correct position. If the card is not in the correct position, the code swaps the card with the card in the correct position.

The code also keeps track of the number of steps that have been taken. The number of steps is stored in the variable m.

The loop continues until the deck is sorted. The code then prints the number of steps that were taken to sort the deck.

Here is a detailed explanation of the code:

• The main function is the entry point of the program. The main function calls the steps function to calculate the minimum number of steps required to sort a deck of cards.
• The steps function takes one argument, n, which is the number of cards in the deck. The function returns the minimum number of steps required to sort the deck.
• The steps function begins by creating two arrays, a and b, which will be used to store the state of the deck at each step of the algorithm. The array a stores the number of cards in each pile, and the array b stores a flag indicating whether or not each pile is sorted.
• The steps function then enters a loop that iterates through the cards in the deck. For each card, the code checks if the card is in the correct position. If the card is not in the correct position, the code swaps the card with the card in the correct position.
• The steps function also keeps track of the number of steps that have been taken. The number of steps is stored in the variable m.
• The loop continues until the deck is sorted. The steps function then returns the number of steps that were taken to sort the deck.

The Topswop algorithm is a simple and efficient sorting algorithm that can be used to sort a deck of cards in linear time. The code provided is a Go implementation of the Topswop algorithm.

// Adapted from http://www-cs-faculty.stanford.edu/~uno/programs/topswops.w
// at Donald Knuth's web site.  Algorithm credited there to Pepperdine
// and referenced to Mathematical Gazette 73 (1989), 131-133.
package main

import "fmt"

const ( // array sizes
    maxn = 10 // max number of cards
    maxl = 50 // upper bound for number of steps
)

func main() {
    for i := 1; i <= maxn; i++ {
        fmt.Printf("%d: %d\n", i, steps(i))
    }
}

func steps(n int) int {
    var a, b [maxl][maxn + 1]int
    var x [maxl]int
    a[0][0] = 1
    var m int
    for l := 0; ; {
        x[l]++
        k := int(x[l])
        if k >= n {
            if l <= 0 {
                break
            }
            l--
            continue
        }
        if a[l][k] == 0 {
            if b[l][k+1] != 0 {
                continue
            }
        } else if a[l][k] != k+1 {
            continue
        }
        a[l+1] = a[l]
        for j := 1; j <= k; j++ {
            a[l+1][j] = a[l][k-j]
        }
        b[l+1] = b[l]
        a[l+1][0] = k + 1
        b[l+1][k+1] = 1
        if l > m-1 {
            m = l + 1
        }
        l++
        x[l] = 0
    }
    return m
}