1 #include <iostream>
 2 #include <iomanip>
 3 #include <cstdlib>
 4 #include <cstdio>
 5 #include <cmath>
 6 #include <algorithm>
 7 #include <string>
 8 #include <cstring>
 9 #define File(a) freopen(a".in","r",stdin),freopen(a".out","w",stdout)
10 #define RG register
11
12 using namespace std;
13
14 int f[6][6],c[6][6],ans,zl[8]={-1,1,2,-2,-2,2,-1,1},zh[8]={-2,-2,-1,-1,1,1,2,2};
15
16 int check(){
17     RG int i,j,s=0;
18     for (i=0; i<5; i++)
19         for (j=0; j<5; j++)
20             if (f[i][j]!=c[i][j])
21                 s++;
22     return s;
23 }
24
25 bool flag;
26
27 void dfs(int x,int y,int s){
28     RG int i=check(),j,k,t;
29     if (i==0) ans=ans<s?ans:s;
30     if (s>=ans) return;
31     t=c[x][y];
32     for (i=0; i<8; i++){
33         k=x+zh[i],j=y+zl[i];
34         if (k>-1 && k<5 && j>-1 && j<5){
35             c[x][y]=c[k][j],c[k][j]=t;
36             if (check()+s<ans) dfs(k,j,s+1);
37             c[k][j]=c[x][y],c[x][y]=t;
38         }
39     }
40     return;
41 }
42
43 int main(){
44     File("1085");
45     RG int t,i,j,x,y;char ch;
46     for (i=0; i<2; i++) for (j=i; j<5; j++) f[i][j]=1;
47     f[2][3]=1,f[2][4]=1,f[3][4]=1,f[2][2]=-1;
48     scanf("%d",&t);
49     while(t--){
50         ans=16;
51         for (i=0; i<5; i++){
52             ch=getchar();
53             while((ch<'0' || ch>'9') && ch!='*') ch=getchar();
54             for (j=0; j<5; j++) if (ch=='1') c[i][j]=1,ch=getchar();
55                 else if (ch=='0') c[i][j]=0,ch=getchar();
56                 else c[i][j]=-1,ch=getchar(),x=i,y=j;
57         }
58         dfs(x,y,0);
59         if (ans!=16) printf("%d\n",ans);
60         else printf("-1\n");
61     }
62     return 0;
63 }