The string PAYPALISHIRING is written in a zigzag pattern on a given number of rows like this: (you may want to display this pattern in a fixed font for better legibility)

P   A   H   N
A P L S I I G
Y   I   R

And then read line by line: PAHNAPLSIIGYIR

Write the code that will take a string and make this conversion given a number of rows:

string convert(string s, int numRows);

Example 1:

• Input: s = “PAYPALISHIRING”, numRows = 3
• Output: “PAHNAPLSIIGYIR”

Example 2:

• Input: s = “PAYPALISHIRING”, numRows = 4
• Output: “PINALSIGYAHRPI”
• Explanation:

  P     I    N
  A   L S  I G
  Y A   H R
  P     I
  

Example 3:

• Input: s = “A”, numRows = 1
• Output: “A”

Constraints:

• 1 <= s.length <= 1000
• s consists of English letters (lower-case and upper-case), ‘,’ and ‘.’.
• 1 <= numRows <= 1000