import sys readline=sys.stdin.readline class UnionFind: def __init__(self,N,label=None,f=None,weighted=False): self.N=N self.parents=[None]*self.N self.size=[1]*self.N self.roots={i for i in range(self.N)} self.label=label if self.label!=None: self.label=[x for x in label] self.f=f self.weighted=weighted if self.weighted: self.weight=[0]*self.N def Find(self,x): stack=[] while self.parents[x]!=None: stack.append(x) x=self.parents[x] if self.weighted: w=0 for y in stack[::-1]: self.parents[y]=x w+=self.weight[y] self.weight[y]=w else: for y in stack[::-1]: self.parents[y]=x return x def Union(self,x,y,w=None): root_x=self.Find(x) root_y=self.Find(y) if root_x==root_y: if self.weighted: if self.weight[y]-self.weight[x]==w: return True else: return False else: if self.size[root_x]