Zigzag Conversion
The string is written in a zigzag pattern on a given number of rows. Read line by line to produce the output.
Example: "PAYPALISHIRING" with 3 rows becomes:
P A H N
A P L S I I G
Y I R
Result: "PAHNAPLSIIGYIR"
Example:
PAYPALISHIRING 3
PAHNAPLSIIGYIR
- The input string "PAYPALISHIRING" is written in a zigzag pattern on 3 rows.
- The characters are filled row by row, resulting in the following pattern:
P A H N
A P L S I I G
Y I R
- Reading the characters line by line produces the output string: "PAHNAPLSIIGYIR".
- The final output is "PAHNAPLSIIGYIR" by concatenating the characters from each row.
Constraints:
- 1 <= len(s) <= 1000
- 1 <= numRows <= 1000
Background Knowledge
The Zigzag Conversion problem involves rearranging characters in a string based on a specific pattern. This pattern is created by writing the string in a zigzag manner on a given number of rows. To understand this problem, it's essential to have a solid grasp of string manipulation and pattern recognition. The zigzag pattern can be visualized as a series of diagonal lines, where each line represents a row in the pattern. The characters in the string are then distributed across these rows, following the zigzag pattern.
The key concept here is to understand how the characters are mapped from the original string to the zigzag pattern. This involves recognizing the relationship between the character's position in the original string and its corresponding position in the zigzag pattern. The row index and column index play a crucial role in this mapping, as they determine the character's position in the zigzag pattern. By analyzing the pattern, we can identify a repeating cycle that helps us map the characters from the original string to the zigzag pattern.
To solve this problem, we need to consider the boundary conditions, such as when the number of rows is 1 or when the string length is less than or equal to the number of rows. These conditions require special handling to ensure the correct output. Additionally, we need to think about how to iterate through the string and construct the output based on the zigzag pattern. This involves using loops and conditional statements to manipulate the characters and build the resulting string.
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