[03/24/25 21:31:22] INFO     PromptTask b11591ea8cda497981df35b7ed7c36bd        
                             Input: Write a bash script that takes a matrix     
                             represented as a string with                       
                             format '[1,2],[3,4],[5,6]' and prints the transpose
                             in the same format.                                
[03/24/25 21:31:33] INFO     PromptTask b11591ea8cda497981df35b7ed7c36bd        
                             Output: Below is one complete solution. Save the   
                             following script (say as transpose.sh), make it    
                             executable (chmod +x transpose.sh) and run it with 
                             a quoted matrix string argument. For example:      
                                                                                
                               ./transpose.sh '[1,2],[3,4],[5,6]'               
                                                                                
                             It will print out:                                 
                                                                                
                               [1,3,5],[2,4,6]                                  
                                                                                
                             Below is the full bash script:                     
                                                                                
                             ---------------------------------------------------
                             ------------                                       
                             #!/bin/bash                                        
                             #                                                  
                             # This script accepts one argument: a string       
                             representing a matrix,                             
                             # e.g. '[1,2],[3,4],[5,6]'                         
                             # It prints the transpose of the matrix in the same
                             format.                                            
                             #                                                  
                             if [ "$#" -ne 1 ]; then                            
                                 echo "Usage: $0 '<matrix>'"                    
                                 exit 1                                         
                             fi                                                 
                                                                                
                             input="$1"                                         
                                                                                
                             # Split the input into rows. The rows are separated
                             by "],"                                            
                             # We insert a newline after each "],", so each row 
                             ends with a ']'                                    
                             rows=()                                            
                             while IFS= read -r line; do                        
                                 rows+=("$line")                                
                             done < <(echo "$input" | sed 's/],/]\n/g')         
                                                                                
                             nrows=${#rows[@]}                                  
                             if [ "$nrows" -eq 0 ]; then                        
                                 echo "Empty matrix!"                           
                                 exit 1                                         
                             fi                                                 
                                                                                
                             # Declare an associative array to hold the matrix  
                             entries.                                           
                             declare -A matrix                                  
                             ncols=0                                            
                                                                                
                             # Parse each row: Remove the '[' and ']', then     
                             split by comma.                                    
                             for i in "${!rows[@]}"; do                         
                                 row="${rows[$i]}"                              
                                 # Remove leading '[' and trailing ']'          
                                 row="${row#[}"                                 
                                 row="${row%]}"                                 
                                                                                
                                 # Split the row into numbers (assuming         
                             comma-separated)                                   
                                 IFS=',' read -ra nums <<< "$row"               
                                                                                
                                 # Set the number of columns using the first    
                             row.                                               
                                 if [ $i -eq 0 ]; then                          
                                     ncols=${#nums[@]}                          
                                 fi                                             
                                                                                
                                 # Check that all rows have the same number of  
                             columns.                                           
                                 if [ "${#nums[@]}" -ne "$ncols" ]; then        
                                     echo "Error: inconsistent number of columns
                             in row $((i+1))."                                  
                                     exit 1                                     
                                 fi                                             
                                                                                
                                 # Store each number in our associative array   
                             using key "i,j"                                    
                                 for j in $(seq 0 $((ncols-1))); do             
                                     matrix["$i,$j"]="${nums[$j]}"              
                                 done                                           
                             done                                               
                                                                                
                             # Build the transposed matrix.                     
                             # The transpose will have ncols rows and nrows     
                             columns.                                           
                             result=""                                          
                             for j in $(seq 0 $((ncols-1))); do                 
                                 rowStr="["                                     
                                 for i in $(seq 0 $((nrows-1))); do             
                                     rowStr+="${matrix["$i,$j"]}"               
                                     if [ $i -lt $((nrows-1)) ]; then           
                                         rowStr+=","                            
                                     fi                                         
                                 done                                           
                                 rowStr+="]"                                    
                                 # Append a comma if this is not the last row.  
                                 if [ $j -lt $((ncols-1)) ]; then               
                                     result+="${rowStr},"                       
                                 else                                           
                                     result+="${rowStr}"                        
                                 fi                                             
                             done                                               
                                                                                
                             echo "$result"                                     
                                                                                
                             ---------------------------------------------------
                             ------------                                       
                                                                                
                             Explanation:                                       
                                                                                
                             1. The script accepts a single argument, the matrix
                             string.                                            
                             2. It uses sed to replace every "]," with "]\n" so 
                             that each row appears on its own line.             
                             3. For each row the script strips the leading '['  
                             and trailing ']' then splits the row by commas.    
                             4. The matrix elements are stored in an associative
                             array indexed by "row,column".                     
                             5. Finally, the script builds the transpose by     
                             swapping row and column indices and prints the     
                             result in the same format.                         
                                                                                
                             This solution assumes that the input is well-formed
                             and that the matrix is rectangular.                
