import sys #input = sys.stdin.readline input = sys.stdin.buffer.readline from collections import defaultdict import random def prime_list(n): is_prime = [0] * (n + 1) #素数かどうか。1なら素数。 is_prime[2] = 1 for i in range(3, n + 1, 2): is_prime[i] = 1 for i in range(2, int(n ** 0.5) + 1): if is_prime[i]: for j in range(i * i, n + 1, 2 * i): is_prime[j] = 0 #最後に全部並べる。 d = [] for j in range(n + 1): if is_prime[j] == 1: d.append(j) return d, is_prime def main(): n = int(input()) A = list(map(int,input().split())) MAX = pow(10,6) P,dummy = prime_list(MAX) soinsu = [defaultdict(int) for _ in range(MAX+1)] prime_idx = {} for i,p in enumerate(P): v = p prime_idx[p] = i while v <= MAX: cnt = 0 nv = v while nv%p == 0: nv //= p cnt += 1 soinsu[v][i] = cnt #i番目の素数の因数をいくつ持つか v += p #print(soinsu) Z = [] zobrist_hash = 0 for _ in range(len(P)): #long longの範囲でランダムにハッシュを取る temp = random.randrange((1<<62) + 1,1<<63) Z.append(temp) zobrist_hash ^= temp dic = defaultdict(int) #ret = [] #ret.append(zobrist_hash) dic[zobrist_hash] += 1 for i,a in enumerate(A): #print("A",a) for key,val in soinsu[a].items(): if val%2 == 0: continue #偶数なので不変 #print(key,val) zobrist_hash ^= Z[key] dic[zobrist_hash] += 1 #ret.append(zobrist_hash) #print(ret) ans = 0 #print(dic) for key,val in dic.items(): ans += val*(val-1)//2 print(ans) if __name__ == '__main__': main()