ACM 第三天

There exists an island called Arpa’s land, some beautiful girls live there, as ugly ones do.

Mehrdad wants to become minister of Arpa’s land. Arpa has prepared an exam. Exam has only one question, given n, print the last digit of 1378n.

Mehrdad has become quite confused and wants you to help him. Please help, although it's a naive cheat.


Input

The single line of input contains one integer n (0  ≤  n  ≤  109).

Output

Print single integer — the last digit of 1378n.

Examples
Input
1
Output
8
Input
2
Output
4
Note

In the first example, last digit of 13781 = 1378 is 8.

In the second example, last digit of 13782 = 1378·1378 = 1898884 is 4.

复制代码
#include<stdio.h>
int main()
{
    int n;
    scanf("%d",&n);
    if(n==0)
        printf("1\n");
    else if(n%4==1)
    {
        printf("8\n");
    }
    else if(n%4==2)
    {
        printf("4\n");
    }
    else if(n%4==3)
    {
        printf("2\n");
    }
    else
    {
        printf("6\n");
    }
    return 0;
}
复制代码

 

 

Vladik is a competitive programmer. This year he is going to win the International Olympiad in Informatics. But it is not as easy as it sounds: the question Vladik face now is to find the cheapest way to get to the olympiad.

Vladik knows n airports. All the airports are located on a straight line. Each airport has unique id from 1 to n, Vladik's house is situated next to the airport with id a, and the place of the olympiad is situated next to the airport with id b. It is possible that Vladik's house and the place of the olympiad are located near the same airport.

To get to the olympiad, Vladik can fly between any pair of airports any number of times, but he has to start his route at the airport a and finish it at the airport b.

Each airport belongs to one of two companies. The cost of flight from the airport i to the airport j is zero if both airports belong to the same company, and |i - j| if they belong to different companies.

Print the minimum cost Vladik has to pay to get to the olympiad.


Input

The first line contains three integers n, a, and b (1 ≤ n ≤ 105, 1 ≤ a, b ≤ n) — the number of airports, the id of the airport from which Vladik starts his route and the id of the airport which he has to reach.

The second line contains a string with length n, which consists only of characters 0 and 1. If the i-th character in this string is 0, then i-th airport belongs to first company, otherwise it belongs to the second.

Output

Print single integer — the minimum cost Vladik has to pay to get to the olympiad.

Examples
Input
4 1 4
1010
Output
1
Input
5 5 2
10110
Output
0
Note

In the first example Vladik can fly to the airport 2 at first and pay |1 - 2| = 1 (because the airports belong to different companies), and then fly from the airport 2 to the airport 4 for free (because the airports belong to the same company). So the cost of the whole flight is equal to 1. It's impossible to get to the olympiad for free, so the answer is equal to 1.

In the second example Vladik can fly directly from the airport 5 to the airport 2, because they belong to the same company.

复制代码
 1 #include<stdio.h>
 2 int main()
 3 {
 4     int n,a,b;
 5     char s[100010];
 6     scanf("%d %d %d",&n,&a,&b);
 7     scanf("%s",s);
 8         if(s[a-1]==s[b-1])
 9             printf("0\n");
10         else
11             printf("1\n");
12     return 0;
13 }
复制代码

 

 

Chloe, the same as Vladik, is a competitive programmer. She didn't have any problems to get to the olympiad like Vladik, but she was confused by the task proposed on the olympiad.

Let's consider the following algorithm of generating a sequence of integers. Initially we have a sequence consisting of a single element equal to 1. Then we perform (n - 1) steps. On each step we take the sequence we've got on the previous step, append it to the end of itself and insert in the middle the minimum positive integer we haven't used before. For example, we get the sequence [1, 2, 1] after the first step, the sequence [1, 2, 1, 3, 1, 2, 1] after the second step.

The task is to find the value of the element with index k (the elements are numbered from 1) in the obtained sequence, i. e. after (n - 1) steps.

Please help Chloe to solve the problem!


Input

The only line contains two integers n and k (1 ≤ n ≤ 50, 1 ≤ k ≤ 2n - 1).

Output

Print single integer — the integer at the k-th position in the obtained sequence.

Examples
Input
3 2
Output
2
Input
4 8
Output
4
Note

In the first sample the obtained sequence is [1, 2, 1, 3, 1, 2, 1]. The number on the second position is 2.

In the second sample the obtained sequence is [1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1]. The number on the eighth position is 4.

1 #include<bits/stdc++.h>
2 using namespace std;
3 long long n,k;
4 int main()
5 {
6     scanf("%lld%lld",&n,&k);
7     cout<<log2(k&(-k))+1<<endl;
8 }

 

Vladik and Chloe decided to determine who of them is better at math. Vladik claimed that for any positive integer n he can represent fraction as a sum of three distinct positive fractions in form .

Help Vladik with that, i.e for a given n find three distinct positive integers x, y and z such that . Because Chloe can't check Vladik's answer if the numbers are large, he asks you to print numbers not exceeding 109.

If there is no such answer, print -1.


Input

The single line contains single integer n (1 ≤ n ≤ 104).

Output

If the answer exists, print 3 distinct numbers x, y and z (1 ≤ x, y, z ≤ 109, x ≠ y, x ≠ z, y ≠ z). Otherwise print -1.

If there are multiple answers, print any of them.

Examples
Input
3
Output
2 7 42
Input
7
Output
7 8 56
复制代码
1 #include<stdio.h>
2 int main()
3 {
4     int n;
5     scanf("%d",&n);
6     if(n==1)printf("-1\n");
7     else printf("%d %d %d\n",n,n+1,n*(n+1));
8     return 0;
9 }
复制代码

 

 

作者:白雪儿
欢迎任何形式的转载,但请务必注明出处。
限于本人水平,如果文章和代码有表述不当之处,还请不吝赐教。

posted @   白雪儿  Views(234)  Comments(0Edit  收藏  举报
编辑推荐:
· PostgreSQL 和 SQL Server 在统计信息维护中的关键差异
· C++代码改造为UTF-8编码问题的总结
· DeepSeek 解答了困扰我五年的技术问题
· 为什么说在企业级应用开发中,后端往往是效率杀手?
· 用 C# 插值字符串处理器写一个 sscanf
阅读排行:
· [翻译] 为什么 Tracebit 用 C# 开发
· 腾讯ima接入deepseek-r1,借用别人脑子用用成真了~
· Deepseek官网太卡,教你白嫖阿里云的Deepseek-R1满血版
· DeepSeek崛起:程序员“饭碗”被抢,还是职业进化新起点?
· RFID实践——.NET IoT程序读取高频RFID卡/标签
点击右上角即可分享
微信分享提示