#include<bits/stdc++.h>
using namespace std;
typedef pair<int,int> pii;
typedef long long ll;
const int INF = 1e7;
const int N = 505 ;
int n ;
array<int,3> p[505] , t[505];

int e[N][N];
int w[N*2],s[N*2],pre[N*2],mat[N*2],cur,pn;
bool vis[N*2];
void bfs(int x){
	memset(vis,0,sizeof(vis));
	memset(s,63,sizeof(s));
	memset(pre,0,sizeof(pre));
	cur=pn=0,mat[0]=x;
	while(1){
		x=mat[cur];
		int dis=INF;
		vis[cur]=1;
		for(int i=n+1;i<=2*n;++i){
			if(vis[i])continue;
			int tmp=w[i]+w[x]-e[x][i-n];
			if(tmp<s[i])s[i]=tmp,pre[i]=cur;
			if(s[i]<dis)dis=s[i],pn=i;
		}
		w[mat[0]]-=dis,w[0]+=dis;
		for(int i=n+1;i<=2*n;++i){
			if(vis[i])w[i]+=dis,w[mat[i]]-=dis;
			else s[i]-=dis;
		}
		cur=pn;
		if(!mat[cur])break;
	}
	while(cur){
		mat[cur]=mat[pre[cur]];
		cur=pre[cur];
	}
}
int KM(){
	for(int i=1;i<=n;++i)bfs(i);
	int res=0;
	for(int i=1;i<=n;++i)if(mat[i+n])res+=e[mat[i+n]][i];
	return res;
}

int sgn(int x) {
    if(x > 0) return 1;
    else if(x == 0) return 0;
    return -1;
}
bool check(int i,int j) { ///i指向j
    array<int,3> delta = {p[j][0] - p[i][0] , p[j][1] - p[i][1] , p[j][2] - p[i][2]} ;
    if(sgn(delta[0]) == sgn(t[i][0]) & sgn(delta[1]) == sgn(t[i][1]) && sgn(delta[2]) == sgn(t[i][2]) ) {
        if(1LL * delta[0] * t[i][1] == 1LL * delta[1] * t[i][0] && 1LL * delta[1] * t[i][2] == 1LL * delta[2] * t[i][1]) return 1;
        return 0;
    }
    return 0;
}
bool gx(int i,int j) {
    array<int,3> delta = {p[j][0] - p[i][0] , p[i][1] - p[j][1] , p[i][2] - p[j][2]} ;
    
    if(1LL * delta[0] * t[i][1] == 1LL * delta[1] * t[i][0] && 1LL * delta[1] * t[i][2] == 1LL * delta[2] * t[i][1]) return 1;
    return 0;
    
}
bool par(int i,int j) {
    if(1LL * t[i][0] * t[j][1] == 1LL * t[i][1] * t[j][0] && 1LL * t[i][1] * t[j][2] == 1LL * t[i][2] * t[j][1]) return 1;
    return 0;
}
typedef pair<ll,ll> pll ;
pair<pll,pll> solve(array<int,3> u1,array<int,3> u2) {
    ll a = 1LL * u1[2] * (-u2[0]) + 1LL * u2[2] * u1[0] ; /// a/b
    ll b = 1LL * u1[1] * (-u2[0]) + 1LL * u2[1] * u1[0] ;
    ll g = __gcd(a , b) ; 
    if(g) {
        a /= g;b /= g;
    }
    if(b < 0) a *= -1 , b *= -1;
    ll c = 1LL * u1[2] * (-u2[1]) + 1LL * u2[2] * u1[1] ; /// c/d
    ll d = 1LL * u1[0] * (-u2[1]) + 1LL * u2[0] * u1[1] ;
    g = __gcd(c , d) ; 
    if(g) {
        c /= g;d /= g;
    }
    if(d < 0) c *= -1 , d *= -1;
    return {(pll){c,d},(pll){a,b}} ;
}
bool zero(pll &A) {
    return (A.first == 0 && A.second == 0) ;
}
int get_ans(int i,int j,int k) {
    if(gx(i , j) && gx(k , j)) return 2;
    if(gx(i , j) || gx(k , j)) return 1;
    if(par(i , k)) return 1;
    // printf("chk %d %d %d\n",i,j,k) ;
    pair<pll,pll> a1 = solve({t[i][0] , t[k][0] , p[j][0] - p[k][0]} , {t[i][1] , t[k][1] , p[j][1] - p[k][1]}) ;
    // printf("s1 %lld %lld : %lld %lld\n",a1.first.first,a1.first.second,a1.second.first,a1.second.second) ;
    if(a1.first.first < 0 || a1.second.first < 0) return 1;
    pair<pll,pll> a2 = solve({t[i][0] , t[k][0] , p[j][0] - p[k][0]} , {t[i][2] , t[k][2] , p[j][2] - p[k][2]}) ;
    // printf("s1 %lld %lld : %lld %lld\n",a1.first.first,a1.first.second,a1.second.first,a1.second.second) ;
    // printf("s2 %lld %lld : %lld %lld\n",a2.first.first,a2.first.second,a2.second.first,a2.second.second) ;
    if((a2.first != a1.first && !zero(a2.first) && !zero(a1.first)) || (a2.second != a1.second && !zero(a2.second) && !zero(a2.second))) return 1;
    // printf("ret 0\n") ;
    return 0;
}
int id[505];
void work() {
    int ans = 1e7;
    for(int i = 1;i <= n;i++) id[i] = i;
    sort(id + 1 , id + n + 1 , [&](int x,int y) {
        if(p[x][0] != p[y][0]) return p[x][0] < p[y][0] ;
        if(p[x][1] != p[y][1]) return p[x][1] < p[y][1] ;
        return p[x][2] < p[y][2];
    });
    if(n % 2 == 0) {
        int ans = 0;
        for(int i = 1;i <= n;i += 2) {
            ans += (2 - check(id[i] , id[i + 1]) - check(id[i + 1] , id[i])) ;
        }
        cout << ans << '\n' ;
        return ;
    }
    
    for(int i = 1;i <= n;i++) {
        vector<int> v;
        for(int j = 1;j <= n;j++) {
            if(j != i ) v.push_back(j) ;
        }
        vector<int> pre(v.size()) , suf(v.size());
        for(int i = 0;i + 1 < v.size();i += 2) {
            if(i) pre[i + 1] = pre[i - 1] ;
            pre[i + 1] += 2 - (check(id[v[i]] , id[v[i + 1]]) + check(id[v[i + 1]] , id[v[i]]) );
        }
        for(int i = v.size() - 1;i - 1 >= 0;i -= 2) {
            if(i != v.size() - 1) suf[i - 1] = suf[i + 1];
            suf[i - 1] += 2 - (check(id[v[i]] , id[v[i - 1]]) + check(id[v[i - 1]] , id[v[i]])) ;
        }
        int sol = 1e7;
        for(int j = 0;j < v.size();j++) {
            int cur1 = 0 , cur2 = 0;
            if(j % 2 == 1) continue ;
            for(int k = j + 1;k < v.size();k++) {
                cur1 += 1 - check(id[v[k - 1]] , id[v[k]]) ;
                cur2 += 1 - check(id[v[k]] , id[v[k - 1]]) ;
                // printf("%d %d %d\n",j,k,v.size()) ;
                if((v.size() - k) % 2 == 0) continue ;
                // printf("here\n") ;
                int ad = 0;
                if(j > 0) ad += pre[j - 1] ;
                if(k < v.size() - 1) ad += suf[k + 1];
                // printf("%d %d %d : %d %d\n",i,j,k,cur1,ad) ;
                sol = min(sol , cur1 + get_ans(i , id[v[j]] , id[v[k]]) + ad) ;
                sol = min(sol , cur2 + get_ans(i , id[v[k]] , id[v[j]]) + ad) ;
                // printf("%d %d %d : %d\n",i,j,k , sol) ;
            }
        }
        ans = min(ans , sol) ;
    }
    cout << (ans + 1000) << '\n' ;
    return ;
}
int main() {
    cin >> n;
    for(int i = 1;i <= n;i++) {
        for(int j = 0;j < 3;j++) cin >> p[i][j];
        for(int j = 0;j < 3;j++) cin >> t[i][j];
    }
    if(n == 1) {
        cout << -1 << '\n' ; return 0;
    }
    if(n == 2) {
        int ans = check(1 , 2) + check(2 , 1);
        cout << (2-ans) << '\n' ; return 0;
    }
    for(int i = n;i >= 1;i--) {
        for(int j = 0;j < 3;j++) p[i][j] -= p[1][j] ;
    }
    bool ff = 1;
    for(int i = 3;i <= n;i++) {
        if(!(1LL * p[i][0] * p[2][1] == 1LL * p[i][1] * p[2][0] && 1LL * p[i][1] * p[2][2] == 1LL * p[i][2] * p[2][1])) {ff = 0;break ;}
    }
    if(ff) {
        work() ; return 0;
    }
    for(int i = 1;i <= n;i++) {
        map<array<int,3> , vector<pii> > mp;
        e[i][i] = 1e7;
        for(int j = 1;j <= n;j++) {
            if(i == j) continue ;
            array<int,3> ar = {p[j][0] - p[i][0] , p[j][1] - p[i][1] , p[j][2] - p[i][2]} ;
            int g = abs(ar[0]) ; g = __gcd(g , abs(ar[1])) ; g = __gcd(g , abs(ar[2])) ;
            ar[0] /= g ; ar[1] /= g ; ar[2] /= g;

            mp[ar].push_back({g , j}) ;
        }
        for(auto &[u,v] : mp) {
            sort(v.begin() , v.end()) ;
            e[i][v[0].second] = 1 - check(i , v[0].second) ;
            for(int j = 1;j < v.size();j++) e[i][v[j].second] = 1e7;
        }
        for(int j = 1;j <= n;j++ ) { e[i][j] *= -1 ; } 
        // printf("\n") ;
    }
    cout << -KM() << '\n' ;
    return 0;
}