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#include <bits/stdc++.h>
#define INF 0x3F3F3F3F
using namespace std;
int main()
{
int cases; cin>>cases;
while(cases--)
{
int c=0;
string s; cin>>s;
while(s.length()>1)
{
int sum=1;
for(unsigned int i=0; i<s.length();i++) sum*=(s[i]-48);
s = to_string(sum);
c++;
}
cout<<c<<endl;
}
return 0;
}
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