Little Artem and Dance

题意翻译

n 个人参加舞会，他们的初始编号为 1……n。 所有人有以下两种移动方式： 1 x：所有人顺时针移动 x 个位置，若 x 为负数，则逆时针移动 -x 个位置。 2:让编号为 1,3,5,....n-1 的人与编号为 2,4,...n 的人交换位置。 移动共 q 次，输出结束后，所有人的编号。

题目描述

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 $ 2 $ dances 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: 1. Value $ x $ and some direction are announced, and all boys move $ x $ positions in the corresponding direction. 2. 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 number $ 3 $ 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.

输入输出格式

输入格式

The first line of the input contains two integers $ n $ and $ q $ ( $ 2<=n<=1000000 $ , $ 1<=q<=2000000 $ ) — 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.

输出格式

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.

输入输出样例

输入样例 #1

6 3
1 2
2
1 2

输出样例 #1

4 3 6 5 2 1

输入样例 #2

2 3
1 1
2
1 -2

输出样例 #2

1 2

输入样例 #3

4 2
2
1 3

输出样例 #3

1 4 3 2