Step by Step solution about How to resolve the algorithm Solve the no connection puzzle step by step in the Mathematica/Wolfram Language programming language

This Wolfram code performs the following operations:

1. Permutations[Range[8]]: It generates all possible permutations of the numbers from 1 to 8.

2. {{1, 3}, {1, 4}, {1, 5}, {2, 4}, {2, 5}, {2, 6}, {3, 4}, {3, 7}, {4, 5}, {4, 7}, {4, 8}, {5, 6}, {5, 7}, {5, 8}, {6, 8}}: This is a list of pairs of numbers that represent the positions of the pieces that must be different in each permutation.

3. Fold[ Select[#, Function[perm, Abs[perm[[#2[[1]]]] - perm[[#2[[2]]]]] > 1]] &, Permutations[Range[8]], {{1, 3}, {1, 4}, {1, 5}, {2, 4}, {2, 5}, {2, 6}, {3, 4}, {3, 7}, {4, 5}, {4, 7}, {4, 8}, {5, 6}, {5, 7}, {5, 8}, {6, 8}}][[1]]: This is a recursive function that applies a Select operation to the list of permutations, selecting only those permutations that meet a certain condition. The condition is that the absolute difference between the values at the specified positions in the permutation must be greater than 1. The Fold function applies this selection operation to each element in the list of permutations, resulting in a list of permutations that satisfy the condition.

4. `Print[StringForm[ " \n /|\ /|\\n / | X | \\n / |/ \| \\n- \

• -\n \ |\ /| /\n \ | X | /\n \|/ \|/\n ", Sequence @@ sol]]: This code prints a formatted string using the StringFormfunction. TheSequence @@ solpart converts the list of permutationssol` into a sequence of strings. The formatted string represents a chessboard with 'X' characters placed in the positions specified by the selected permutation.

sol = Fold[
    Select[#, 
      Function[perm, Abs[perm[[#2[[1]]]] - perm[[#2[[2]]]]] > 1]] &, 
    Permutations[
     Range[8]], {{1, 3}, {1, 4}, {1, 5}, {2, 4}, {2, 5}, {2, 6}, {3, 
      4}, {3, 7}, {4, 5}, {4, 7}, {4, 8}, {5, 6}, {5, 7}, {5, 8}, {6, 
      8}}][[1]];
Print[StringForm[
   "    ``   ``\n   /|\\ /|\\\n  / | X | \\\n /  |/ \\|  \\\n`` - `` \
- `` - ``\n \\  |\\ /|  /\n  \\ | X | /\n   \\|/ \\|/\n    ``   ``", 
   Sequence @@ sol]];