// Slower C++ solution:
#include <bits/stdc++.h>

#define x first

#define y second

using namespace std;



using i64 = long long;

using f64 = double;

using pll = pair<i64, i64>;

using pii = pair<int, int>;

using ptx = pair<f64, f64>;



map<i64, i64> cmp, cnt;

vector<i64> v, primes;

int n;



static void get_primes() {

    const int LIM = 100000;

    bitset<LIM> s = 0;



    for (int i = 2; i * i < LIM; ++i) {

        if (s[i])

            continue;

        for (int j = i * i; j < LIM; j+= i)

            s[j] = 1;

    }

    for (int i = 2; i < LIM; ++i)

        if (!s[i])

            primes.push_back(i);

}



static i64 get_complement(i64 num) {

    i64 c = 1;

    for (auto p: primes) {

        if (p * p > num) {

            c*= num * num;

            break;

        }

        if (num % (p * p) == 0) {

            c*= p;

            num/= p * p;

        }

        else if (num % p == 0) {

            c*= p * p;

            num/= p;

        }

    }

    return c;

}



int main() {

#ifdef HOME

    freopen("agc003d.in", "r", stdin);

    freopen("agc003d.out", "w", stdout);

#endif

    ios::sync_with_stdio(false);

    cin.tie(0), cout.tie(0);

    get_primes();



    cin >> n;

    v.resize(n);

    for (auto &i: v) {

        cin >> i;

        for (auto p: primes) {

            if (p * p * p > i)

                break;

            while (i % (p * p * p) == 0)

                i/= p * p * p;

        }

        cnt[i]++;

        if (cmp[i] == 0) {

            i64 t = get_complement(i);

            cmp[i] = t;

            cmp[t] = i;

        }

    }



    int ans = 0;

    for (auto i: v) {

        if (i == 1) {

            ans+= min(cnt[i], 1LL);

            cnt[i] = 0;

        }

        else {

            ans+= max(cnt[i], cnt[cmp[i]]);

            cnt[i] = cnt[cmp[i]] = 0;

        }

    }



    cout << ans << endl;



    return 0;

}


// Faster C++ solution for the same problem (measured speedup: 1.6956758570230197x):
/*

 /+==================================================+\

//+--------------------------------------------------+\\

|.|\\...>>>>>>> Hollwo_Pelw(ass) 's code <<<<<<<...//|.|

\\+--------------------------------------------------+//

 \+==================================================+/

*/

#include <bits/stdc++.h>

using namespace std;

// type

typedef long long ll;

typedef long double ld;

// loop

//#define For(i, l, r)        for (int i = l; i < r; i++)

//#define ForE(i, l, r)       for (int i = l; i <= r; i++)

//#define Ford(i, r, l)       for (int i = r; i > l; i--)

//#define FordE(i, r, l)      for (int i = r; i >= l; i--)

//#define Fora(i, a)          for (auto i : a)

// I/O

#define FAST_IO             std::ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);

#define setpre(n)           fixed << setprecision(n)

// pair

#define F                   first

#define S                   second

#define pii                 pair<int, int>

#define pll                 pair<ll, ll>

#define pdd                 pair<ld, ld>

// vector & !!?(string)

#define eb                  emplace_back

#define pb                  push_back

#define all(a)              a.begin(), a.end()

#define rall(a)             a.rbegin(), a.rend()

#define sz(a)               a.size()

#define len(a)              a.length()

// geometry calculate

#define pi                  acos(-1.0)

#define g_sin(a)            sin(a*pi/180)

#define g_cos(a)            cos(a*pi/180)

#define g_tan(a)            tan(a*pi/180)

// set val

#define ms0(a)              memset(a,        0, sizeof(a));

#define ms1(a)              memset(a,        1, sizeof(a));

#define msn1(a)             memset(a,       -1, sizeof(a));

#define msinf(a)            memset(a, 0x3f3f3f, sizeof(a));

// constant

const int mod1 = 998244353, mod = 1e9+7;

const int MAXN = 100005, MAXM = 200010;

// code

#define int long long



map<int, int> cnt, inv;

vector<int> prime;

bool isp[3000];

int n, grp[MAXN];



void Solve() {

    for (int i = 2; i < 3000; i++){

        isp[i] = true;

    }

    for (int i = 2; i < 3000; i++){

        if (isp[i]){

            prime.pb(i);

            for (int j = i*i; j < 3000; j += i){

                isp[j] = false;

            }

        }

    }



    cin >> n;

    for (int i = 0, x; i < n; i++){

        cin >> x;

        for (auto p:prime){

            int k = p*p*p;

            while (x % k == 0) x /= k;

        }

        if (++cnt[x] == 1){

            grp[i] = x, inv[i] = 1;

            for(auto p:prime){

                int k = p*p;

				if(k <= x && x % k == 0){

					inv[i] *= p, x /= k;

				}

				else if(x % p == 0){

					inv[i] *= k, x /= p;

				}

			}

            int xx = sqrt(x);

            if(xx * xx == x){

                inv[i] *= xx;

            }

            else{

                inv[i] *= x*x;

            }

        }

    }

    int ans = (int) (cnt[1] > 0);

    cnt[1] = 0;

    

    for (int i = 0; i < n; i++){

        if (grp[i]){

            ans += max(cnt[grp[i]], cnt[inv[i]]);

            cnt[grp[i]] = cnt[inv[i]] = 0;

        }

    }

    cout << ans;

}



signed main(){

    FAST_IO;

    int TC = 1;

    //cin >> TC;

    while(TC--) Solve();

    return 0;

}

/*



./-=====>>><<<-------- DEBUG -------->>><<<=====-\.

/.................................................\



+====================== INP ======================+





+====================== OUT ======================+





\................................................./

.\-=====>>><<<--------= END =-------->>><<<=====-/.

*/