#include <iostream>
#include <map>
using namespace std;
 
int main() {
	int n,k,p1=0,p2=0,q;
	char s[10];
	map <int,int> x;
	cin >> n;
	for (int i=0; i<n; i++) {
		cin >> s >> k;
		q=x[k];
		if (s[0]=='i') {
			q++;
			if (q==1) p1++;
			if (q==2) p2++;
			x[k]=q;
		} else if (q>0) {
			q--;
			if (q==0) p1--;
			if (q==1) p2--;
			x[k]=q;
		}
		if (p1>=2 && p2>=1) cout << "both" << endl;
		else if (p1<2 && p2>=1) cout << "homo" << endl;
		else if (p1>=2 && p2<1) cout << "hetero" << endl;
		else cout << "neither" << endl;
	}
	return 0;
}

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11
insert 1
insert 2
insert 1
insert 4
delete 1
delete 3
delete 2
delete 1
insert 4
delete 4
delete 4