题目描述

小 t 非常喜爱画画，但是他还是一个初学者。他最近费尽千辛万苦才拜到已仙逝的达芬奇为师（神仙？妖怪？谢谢）。达芬奇果然是画鸡蛋长大的，让小 t 一入门就拿着一张白纸条疯狂地涂色。假设纸条被划分成了 $n$ 个区域，用 $1\sim n$ 的整数从左到右顺序编号，达芬奇总共下达了 $m$ 条指令。第 $i$ 条指令是让小t把编号为 $(i\times p+q)\mod (n+1)$ 与 $(i\times q+p)\mod (n+1)$（$p,q$ 为常整数）之间的区域（连续的一段区域）涂成第 $i$ 种颜色。你可以假设达芬奇家中颜料的颜色数足够多（达芬奇是画鸡蛋长大的）。

现在由于达芬奇下达的指令过多，小 t 一时应付不过来。达芬奇只让他回答每一个区域最后的颜色。趁达芬奇还在「五谷轮回之所」忙碌时，小 t 偷偷的请让你这个计算机高手帮他算出最后的颜色状态，并告诉他。时间紧迫，要快哟！（达芬奇的指令次数多到恶心）

输入格式

一行为四个整数 $n,m,p,q$。

输出格式

$n$ 行，第 $i$ 行代表最后第 $i$ 个格子的颜色。白色编号为 0。

样例输入

1000 999 341 547

样例输出

897
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数据规模与约定

对于 $100\%$ 的数据，$1\le n\le 10^6$，$1\le m\le 10^7$，$1≤m\times p+q$，$m\times q+p≤2^{31}-1$；

友情提示：加入编译开关 {$M 100000000,0,100000000}，可防栈溢出。