codeforces 669D D. Little Artem and Dance(乱搞题)

题目链接：

Little Artem is fond of dancing. Most of all dances Artem likes rueda — Cuban dance that is danced by pairs of boys and girls forming a circle and dancing together.

More detailed, there are n pairs of boys and girls standing in a circle. Initially, boy number 1 dances with a girl number 1, boy number 2dances with a girl number 2 and so on. Girls are numbered in the clockwise order. During the dance different moves are announced and all pairs perform this moves. While performing moves boys move along the circle, while girls always stay at their initial position. For the purpose of this problem we consider two different types of moves:

Value x and some direction are announced, and all boys move x positions in the corresponding direction.
Boys dancing with even-indexed girls swap positions with boys who are dancing with odd-indexed girls. That is the one who was dancing with the girl 1 swaps with the one who was dancing with the girl number 2, while the one who was dancing with girl number3 swaps with the one who was dancing with the girl number 4 and so one. It's guaranteed that n is even.

Your task is to determine the final position of each boy.

Input

The first line of the input contains two integers n and q (2 ≤ n ≤ 1 000 000, 1 ≤ q ≤ 2 000 000) — the number of couples in the rueda and the number of commands to perform, respectively. It's guaranteed that n is even.

Next q lines contain the descriptions of the commands. Each command has type as the integer 1 or 2 first. Command of the first type is given as x ( - n ≤ x ≤ n), where 0 ≤ x ≤ n means all boys moves x girls in clockwise direction, while - x means all boys move x positions in counter-clockwise direction. There is no other input for commands of the second type.

Output

Output n integers, the i-th of them should be equal to the index of boy the i-th girl is dancing with after performing all q moves.

Examples

input

output

4 3 6 5 2 1

input

output

1 2

input

4 2
2
1 3

output

1 4 3 2

题意：

两种变换,一种是按顺时针或者逆时针移动,另一种是按女孩的奇偶数进行交换;
问最后得序列是多少;

思路：

我又大开脑洞搞些奇怪的玩意来A题了;哈哈哈哈,谁让我这么弱呢,弱到连参加水赛的机会都没有;
来说说我的奇葩的解法吧;

开两个队列,一个奇数队列,一个偶数队列,因为我发现最后得序列都是奇偶数交替出现,那么我们这两个队列里的相同位置的两个数是要相邻出现的;
但是在顺时针方向上这两个数出现的前后关系会变化而且与之对应的数也会发生相应的变化;
Lipoter表示的是在顺时针方向偶数在前边还是奇数在前边;变换后可以得到顺时针方向上的数的序列(即那两个数是相邻的);
这是序列关系搞定了,那么这个序列再最终的结果哪个是第一个呢？
我选取1这个shy boy 进行位置变换,最后得到1boy的最终位置,那这个shy boy的最终位置做标准就可以得到所有boy 的位置了;

1	3	5	7
2	4	6	7



假设初始的时候匹配（相邻）的关系是这样,那么自己体会代吧,哎,我要看看别人是怎么做的;

AC代码：

/*2014300227    D - Little Artem and Dance    GNU C++11    Accepted    826 ms    10300 KB*/
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll mod=1e9+7;
const ll inf=1e15;
const int N=1e6+6;
int n,q,b[N],t;
queue<int>even,odd,ans;
int main()
{
    scanf("%d%d",&n,&q);
    for(int i=1;i<=n;i++)
    {
        if(i%2)odd.push(i);
        else even.push(i);
    }
    int len,Lipoter=1,flag=1;
    for(int i=1;i<=q;i++)
    {
        scanf("%d",&t);
        if(t==1)
        {
                scanf("%d",&len);
                flag=(flag+len+n)%n;
               if(flag==0)flag=n;
        }
        else
        {
            if(flag%2){
            if(Lipoter==0)
            {
                    even.push(even.front());//因为要与匹配的数字要变化,那么就移一位;
                    even.pop();
            }
            else Lipoter=0;
            }
        else
        {
            if(Lipoter==1)
            {
                odd.push(odd.front());
                odd.pop();
            }
            else Lipoter=1;
        }
            if(flag%2)flag++;
            else flag--;
            if(flag==0)flag=n;
        }
    }
    if(Lipoter){
    while(!even.empty()&&!odd.empty())
    {
        ans.push(odd.front());
        odd.pop();
        ans.push(even.front());
        even.pop();
    }
    }
    else
    {
        while(!even.empty()&&!odd.empty())
        {
            ans.push(even.front());
            even.pop();
            ans.push(odd.front());
            odd.pop();
        }
    }
    while(1)
    {
        if(ans.front()==1)break;
        else
        {
            ans.push(ans.front());
            ans.pop();
        }
    }
    while(flag<=n)
    {
        b[flag++]=ans.front();
        ans.pop();
    }
    int cnt=1;
    while(!ans.empty())
    {
        b[cnt++]=ans.front();
        ans.pop();
    }
    for(int i=1;i<=n;i++)printf("%d ",b[i]);
    return 0;
}