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# [6. ZigZag Conversion](https://leetcode.com/problems/zigzag-conversion/)
## 题目
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`
## 题目大意
将一个给定字符串 `s` 根据给定的行数 `numRows` 以从上往下、从左到右进行 Z 字形排列。
比如输入字符串为 `"PAYPALISHIRING"` 行数为 3 时,排列如下:
```go
P A H N
A P L S I I G
Y I R
```
之后,你的输出需要从左往右逐行读取,产生出一个新的字符串,比如:`"PAHNAPLSIIGYIR"`
请你实现这个将字符串进行指定行数变换的函数:
```go
string convert(string s, int numRows);
```
## 解题思路
- 这一题没有什么算法思想,考察的是对程序控制的能力。用 2 个变量保存方向当垂直输出的行数达到了规定的目标行数以后需要从下往上转折到第一行循环中控制好方向ji
## 代码
```go
package leetcode
func convert(s string, numRows int) string {
matrix, down, up := make([][]byte, numRows, numRows), 0, numRows-2
for i := 0; i != len(s); {
if down != numRows {
matrix[down] = append(matrix[down], byte(s[i]))
down++
i++
} else if up > 0 {
matrix[up] = append(matrix[up], byte(s[i]))
up--
i++
} else {
up = numRows - 2
down = 0
}
}
solution := make([]byte, 0, len(s))
for _, row := range matrix {
for _, item := range row {
solution = append(solution, item)
}
}
return string(solution)
}
```