# 洗牌算法

```-- To shuffle an array a of n elements (indices 0..n-1):
for i from n−1 downto 1 do
j ← random integer such that 0 ≤ j ≤ i
exchange a[j] and a[i]
```

java 实现

```import java.util.Arrays;
import java.util.Random;

public class Shuffle {

public static void shuffle(int[] arr) {
int i = arr.length;
Random random = new Random();
while (i > 1) {
i = i - 1;
int j = random.nextInt(i);
int temp = arr[i];
arr[i] = arr[j];
arr[j] = temp;
}
System.out.println(Arrays.toString(arr));
}

public static void main(String[] args) {
int[] arr = new int[] { 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 };
for (int i = 0; i < 50; i++)
shuffle(arr);
}
}
```

```[7, 3, 0, 2, 9, 1, 8, 4, 6, 5]
[3, 2, 5, 9, 1, 6, 7, 0, 4, 8]
[7, 8, 6, 1, 4, 2, 0, 9, 5, 3]
[9, 3, 1, 7, 5, 6, 4, 8, 2, 0]
[5, 9, 0, 2, 1, 4, 7, 6, 3, 8]
[4, 8, 3, 9, 6, 1, 5, 0, 2, 7]
[0, 6, 9, 1, 3, 5, 4, 2, 7, 8]
[6, 3, 8, 4, 5, 2, 0, 9, 1, 7]
[8, 9, 3, 1, 4, 7, 6, 2, 0, 5]
[1, 8, 4, 7, 2, 3, 0, 5, 9, 6]
[9, 1, 3, 5, 0, 8, 6, 4, 2, 7]
[1, 7, 9, 4, 6, 3, 8, 0, 5, 2]
[0, 8, 4, 7, 3, 2, 6, 5, 9, 1]
[1, 7, 8, 9, 6, 5, 0, 4, 3, 2]
[5, 4, 1, 8, 0, 7, 3, 2, 9, 6]
[8, 6, 2, 0, 1, 5, 9, 3, 4, 7]
[5, 7, 4, 9, 0, 3, 6, 2, 1, 8]
[8, 9, 5, 4, 7, 0, 1, 3, 2, 6]
[2, 5, 6, 7, 3, 1, 4, 9, 0, 8]
[0, 7, 8, 2, 6, 5, 9, 1, 3, 4]
[4, 3, 6, 0, 5, 1, 2, 9, 8, 7]
[6, 1, 5, 8, 9, 4, 7, 0, 2, 3]
[9, 4, 0, 2, 5, 6, 3, 8, 7, 1]
[5, 2, 7, 0, 4, 3, 9, 6, 1, 8]
[4, 3, 1, 7, 9, 0, 6, 2, 8, 5]
[5, 8, 6, 1, 4, 9, 2, 0, 7, 3]
[3, 0, 2, 6, 1, 5, 8, 7, 9, 4]
[1, 6, 0, 4, 7, 3, 5, 9, 2, 8]
[5, 8, 6, 0, 2, 4, 7, 3, 9, 1]
[8, 7, 3, 6, 4, 1, 0, 9, 2, 5]
[9, 0, 7, 1, 5, 8, 4, 3, 6, 2]
[0, 4, 9, 7, 8, 1, 6, 5, 2, 3]
[5, 0, 4, 2, 1, 7, 9, 8, 3, 6]
[7, 2, 8, 3, 5, 4, 1, 0, 6, 9]
[2, 6, 4, 8, 0, 5, 9, 7, 1, 3]
[0, 2, 9, 7, 8, 6, 1, 4, 3, 5]
[6, 4, 1, 2, 9, 7, 5, 3, 8, 0]
[3, 2, 4, 0, 5, 9, 8, 1, 6, 7]
[9, 0, 8, 7, 6, 2, 3, 4, 1, 5]
[4, 1, 5, 3, 8, 9, 0, 6, 2, 7]
[8, 5, 6, 0, 2, 4, 7, 3, 1, 9]
[1, 4, 9, 6, 3, 2, 8, 7, 0, 5]
[9, 5, 6, 2, 0, 7, 1, 3, 4, 8]
[1, 8, 3, 6, 4, 5, 7, 0, 9, 2]
[8, 3, 7, 5, 1, 9, 0, 2, 4, 6]
[2, 0, 6, 4, 5, 1, 9, 7, 8, 3]
[9, 6, 1, 2, 4, 8, 3, 5, 7, 0]
[6, 3, 4, 0, 2, 1, 8, 9, 5, 7]
[2, 9, 1, 3, 5, 6, 4, 8, 7, 0]
[3, 5, 7, 1, 6, 0, 8, 9, 4, 2]
```