Zigzag Conversion

To solve this coding challenge, we need to convert a given string
s
into a zigzag pattern based on the number of rows
numRows
and then read the string line by line. Let's break down the approach and provide the pseudocode for clarity.

Explanation

The zigzag pattern involves writing the string in a diagonal fashion across multiple rows and then switching direction to move upwards to the top row. Once this pattern is complete, we concatenate the characters row by row to obtain the final output string.
  1. Special Case Handling :
    • If
      numRows
      is 1, the string remains unchanged as there is no zigzag pattern with just one row.
    • If the string length is less than the number of rows, the output is the string itself since it can't form a zigzag pattern with insufficient characters.
  2. Initialize Data Structures :
    • Create a list of strings (one for each row).
    • Use a variable to track the current row and another to determine the direction (downwards or upwards).
  3. Iteration Through Characters :
    • Iterate through each character in the string.
    • Append the character to the current row.
    • Adjust the current row based on the direction (increment or decrement).
    • Change the direction when reaching the topmost or bottommost row.
  4. Join Rows :
    • Concatenate all strings from the rows to form the final result.

    Step-by-Step Explanation/Detailed Steps in Pseudocode

  5. Check Special Case :
    • If
      numRows
      is 1, return the input string
      s
      .
  6. Initialize Rows :
    • Create an array
      rows
      of size
      min(numRows, length of s)
      filled with empty strings.
  7. Initialize Helper Variables :
    • Set
      currentRow
      to 0.
    • Set
      goingDown
      to False.
  8. Iterate Through Characters :
    • For each character in the string
      s
      :
      1. Add the character to
        rows[currentRow]
        .
      2. If
        currentRow
        is 0 or
        currentRow
        is
        numRows - 1
        , toggle
        goingDown
        .
      3. Update
        currentRow
        (increment if
        goingDown
        is True, else decrement).
  9. Concatenate Rows :
    • Join all strings in
      rows
      to form the final output string.

Pseudocode

                                            
# Convert string s into a zigzag pattern with numRows

# Special case: if numRows is 1, simply return s
if numRows equals 1:
    return s

# Create an array for rows, with minimum size of either numRows or length of s
rows <- create array of empty strings of size min(numRows, length of s)

# Initialize current row and direction flag
currentRow <- 0
goingDown <- False

# Iterate through characters in the string
for each character in s:
    # Append character to the current row
    rows[currentRow] <- rows[currentRow] + character
    
    # Check direction change
    if currentRow equals 0 or currentRow equals numRows - 1:
        goingDown <- not goingDown
    
    # Update current row based on direction
    if goingDown:
        currentRow <- currentRow + 1
    else:
        currentRow <- currentRow - 1

# Join all rows to form the final zigzag string
result <- join all strings in rows

return result

                                        
This detailed process ensures that we handle edge cases and manage the zigzag conversion accurately. The pseudocode provides a structured approach to solving the problem, ensuring readability and clarity.