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 = 20 #pow(10,6) PL,dummy = prime_list(MAX) #素数 -> index prime_idx = {} for i,p in enumerate(PL): prime_idx[p] = i Z = [] zobrist_hash = 0 for _ in range(len(PL)): #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 a in A: P = prime_factorize(a) for soin,jo in P: if jo%2 == 0: continue #偶数なので不変 #print(key,val) idx = prime_idx[soin] zobrist_hash ^= Z[idx] 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) def prime_factorize(n): ret = [] cnt = 0 while n % 2 == 0: cnt += 1 n //= 2 if cnt > 0: ret.append((2,cnt)) i = 3 while i * i <= n: cnt = 0 while n % i == 0: cnt += 1 n //= i else: ret.append((i,cnt)) i += 2 if n != 1: ret.append((n,1)) return ret #(素因数、何乗) if __name__ == '__main__': main()