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test53.java
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32 lines (28 loc) · 783 Bytes
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package byteDance;
/**
* @Author:lizeyang
* @Date:2020/5/23 16:14
* function:圆圈剩下的数字 详解：https://blog.csdn.net/u011500062/article/details/72855826
*/
public class test53 {
/**
* 递推公式：f(n,m)= (f(n-1,m)+m)%n;f(n,m)表示n个数，每m时杀人，幸存者的下标结果
* f(1,3) = 0;
* f(2,3) = (f(1,3)+3)%2 = 1;
* f(3,3) = (f(2,3)+3)%3 = 1;
*/
public static int test(int n, int m) {
//f(1,3) = 0;
int f = 0;
//从2开始
for (int i = 2; i <= n; i++) {
f = (f + m) % i;
}
//因为返回数组下标，故+1
return f + 1;
}
public static void main(String[] args) {
int n = 5, m = 3;
System.out.println(test(n, m));
}
}