问题描述:
十个猴子围成一圈选大王,依次1-3 循环报数,报到3 的猴子被淘汰,直到最后一只猴子成为大王。问,哪只猴子最后能成为大王?
方法一:java链表
public class testall {
static scanner scanner = new scanner(system.in);
static int num;
static string str;
static linkedlist<string> list = new linkedlist<string>();
static linkedlist<string> result = new linkedlist<string>();
public static void main(string[] arg) {
input();
output();
}
private static void output() {
pushnum();
iterator it = result.iterator();
while (it.hasnext()) {
system.out.print(it.next() + " ");
private static void pushnum() {
int i = 1;
while (list.size() > 0) {
// system.out.println(i+"!! ");
iterator it = list.iterator();
string node = (string) it.next();
if (i == num) {
result.add(node);
it.remove();
i = 0;
i++;
private static void input() {
str = scanner.nextline();
string[] tmp = str.split(" ");
num = integer.parseint(tmp[0]);
for (int i = 1; i < tmp.length; i++) {
list.add(tmp[i]);
方法二:数组
public class timetest {
public static void main(string[] args) {
int num = 10;
boolean[] array = new boolean[num];
for (int i = 0; i < num; i++) {
array[i] = true;
int index = 0;
int count = 0;
int n = num;
while (n > 1) {
if (array[index] == true) {
count++;
if (count == 3)
// 当count等于3时,就淘汰一个;
{
array[index] = false;
n--; // 当有一个被淘汰时,n--;
count = 0;
index++;
// 当从0循环到29时,重新置index为0;
if (index == num) {
index = 0;
if (array[i] == true)
system.out.println(i + 1);
其中方法一的时间复杂度为o(n^2)
方法二的时间复杂度为o(n)