B'Even the most successful company can go through a crisis period when you have to make a hard decision -- to restructure, discard and merge departments, fire employees and do other unpleasant stuff. Let 's consider the following model of a company. There are n people working for the Large Software Company. Each person belongs to some department. Initially, each person works on his own project in his own department (thus, each company initially consists of n departments, one person in each). However, harsh times have come to the company and the management had to hire a crisis manager who would rebuild the working process in order to boost efficiency. Let 's use team(person) to represent a team where person person works. A crisis manager can make decisions of two types: At that the crisis manager can sometimes wonder whether employees x and y (1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89x, xe2 x80 x89y xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89n) work at the same department. Help the crisis manager and answer all of his queries. The first line of the input contains two integers n and q (1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89n xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89200 xe2 x80 x89000, 1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89q xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89500 xe2 x80 x89000) -- the number of the employees of the company and the number of queries the crisis manager has. Next q lines contain the queries of the crisis manager. Each query looks like type x y, where . If type xe2 x80 x89= xe2 x80 x891 or type xe2 x80 x89= xe2 x80 x892, then the query represents the decision of a crisis manager about merging departments of the first and second types respectively. If type xe2 x80 x89= xe2 x80 x893, then your task is to determine whether employees x and y work at the same department. Note that x can be equal to y in the query of any type. For each question of type 3 print "YES" or "NO" (without the quotes), depending on whether the corresponding people work in the same department.'...