#!/usr/bin/env python3 import itertools class UnionFind(object): def __init__(self, number_of_nodes): self.par = list(range(number_of_nodes)) self.rank = [0] * number_of_nodes def root(self, node): if self.par[node] == node: return node else: r = self.root(self.par[node]) self.par[node] = r return r def in_the_same_set(self, node1, node2): return self.root(node1) == self.root(node2) def unite(self, node1, node2): x = self.root(node1) y = self.root(node2) if x != y: if self.rank[x] < self.rank[y]: x, y = y, x self.par[y] = x if self.rank[x] == self.rank[y]: self.rank[x] += 1 def solve(num_vs, adj_list): uf = UnionFind(num_vs) for u, vs in enumerate(adj_list): for v in vs: uf.unite(u, v) vs = (v for v in range(num_vs) if adj_list[v]) for u, v in itertools.product(vs, repeat=2): if not uf.in_the_same_set(u, v): return False degs = (len(vs) for vs in adj_list) num_odd_points = sum(deg % 2 for deg in degs) return num_odd_points == 0 or num_odd_points == 2 def main(): n, m = (int(x) for x in input().split()) adj_list = [set() for _ in range(n)] for _ in range(m): sa, sb = (int(x) for x in input().split()) adj_list[sa].add(sb) adj_list[sb].add(sa) res = solve(n, adj_list) print("YES" if res else "NO") if __name__ == '__main__': main()