def scc(N,edges): M=len(edges) start=[0]*(N+1) elist=[0]*M for e in edges: start[e[0]+1]+=1 for i in range(1,N+1): start[i]+=start[i-1] counter=start[:] for e in edges: elist[counter[e[0]]]=e[1] counter[e[0]]+=1 visited=[] low=[0]*N Ord=[-1]*N ids=[0]*N NG=[0,0] def dfs(v): stack=[(v,-1,0),(v,-1,1)] while stack: v,bef,t=stack.pop() if t: if bef!=-1 and Ord[v]!=-1: low[bef]=min(low[bef],Ord[v]) stack.pop() continue low[v]=NG[0] Ord[v]=NG[0] NG[0]+=1 visited.append(v) for i in range(start[v],start[v+1]): to=elist[i] if Ord[to]==-1: stack.append((to,v,0)) stack.append((to,v,1)) else: low[v]=min(low[v],Ord[to]) else: if low[v]==Ord[v]: while(True): u=visited.pop() Ord[u]=N ids[u]=NG[1] if u==v: break NG[1]+=1 low[bef]=min(low[bef],low[v]) for i in range(N): if Ord[i]==-1: dfs(i) for i in range(N): ids[i]=NG[1]-1-ids[i] group_num=NG[1] counts=[0]*group_num for x in ids: counts[x]+=1 groups=[[] for i in range(group_num)] for i in range(N): groups[ids[i]].append(i) return groups def eratosthenes(n): sieve = [True] * (n + 1) for i in range(int(n**0.5) + 1): if i < 2: sieve[i] = False elif sieve[i]: for j in range(2, n//i + 1): sieve[i * j] = False return sieve N = int(input()) AB = [list(input().split()) for _ in range(N)] E = eratosthenes(10**6) edge = [] for i in range(N): A, B = AB[i] f = int(A+B) if E[f]: edge.append((i, N+i)) t = int(B+A) if E[t]: edge.append((N+i, i)) for i in range(N-1): A1, B1 = AB[i] for j in range(i+1, N): A2, B2 = AB[j] a = int(A1+B2) b = int(A2+B1) if E[a] or E[b]: edge.append((i, N+j)) edge.append((j, N+i)) a = int(A1+A2) b = int(B2+B1) if E[a] or E[b]: edge.append((i, j)) edge.append((N+j, N+i)) a = int(B1+B2) b = int(A2+A1) if E[a] or E[b]: edge.append((N+i, N+j)) edge.append((j, i)) a = int(B1+A2) b = int(B2+A1) if E[a] or E[b]: edge.append((N+i, j)) edge.append((N+j, i)) SCC = scc(N*2, edge) IDX = [-1]*N for i, S in enumerate(SCC): for s in S: if IDX[s%N] == -1: IDX[s%N] = i elif IDX[s%N] == i: exit(print("No")) print("Yes")