2424.cpp

#include <iostream>
#include <algorithm>
#include <vector>
#include <stack>
#include <queue>
#include <map>
#include <cmath>
#include <string>
#include <sstream>
#include <iomanip>
#include <complex>
using namespace std;

#define ll long long
#define vvi vector< vector<int> >
#define All(X) X.begin(),X.end()
#define FOR(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define REP(i,n) for(int i=0;i<(int)(n);i++)
#define pb push_back 
ll gcd(ll a,ll b){return b?gcd(b,a%b):a;}
ll lcm(ll a,ll b){return a/gcd(a,b)*b;}

string IntToString(ll int number){
  stringstream ss;
  ss << number;
  return ss.str();
}

string tmp;
string tmp2;

int main(){
	int q,cnt;
	cin >> q;
	REP(i,q){
		
		cin >> tmp;
		tmp2 = tmp;
		cnt = 0;
		while(tmp.size()!=1){
			int mmax = -1;
			FOR(i,1,tmp.size()){
				string st1,st2;
				FOR(j,0,i) st1 += tmp[j];
				FOR(j,i,tmp.size()) st2 += tmp[j];
				mmax = max(mmax,stoi(st1)*stoi(st2));
			}
			cnt++;
			tmp = IntToString(mmax);
			if(tmp==tmp2){
				cnt = -1;
				break;
			}
		}
		
	cout << cnt << endl;
	}
	return 0;
}