#include <iostream>
#include<map>
#include<queue>
//这题应该时用bfs因为要在转换后的数字上接着交换
using namespace std;
map<string, int>find_str;
int pos[2] = { -1,1 };
bool judge(string str) {
for (int i = 0; i <= str.size() - 4; i++) {
string tmp = str.substr(i, 4);
if (tmp == "2012")return true;
}
return false;
}
// 将数组用于函数传递,函数内对数组的改变也会影响调用函数外的该数组
//但是string作为参数传递,并不会影响外部除非采用引用传递
void bfs(string str) {
queue<string>q;
q.push(str);
find_str[str] = 0;
if (judge(str)) {
cout << 0;
return;
}
while (!q.empty()) {
string tmp = q.front();
q.pop();
//注意本题只能移动相邻的数字
for (int i = 0; i < tmp.size()-1; i++) {
for (int j = 0; j <2; j++) {
if (i + pos[j] >= 0&&i+pos[j]<tmp.size()) {
string mid = tmp;
swap(mid[i], mid[i + pos[j]]);
if (find_str.count(mid) == 0) {
find_str[mid] = find_str[tmp]+1;
q.push(mid);
/* cout << mid << endl;*/
if (judge(mid)) {
cout << find_str[mid] << endl;
return;
}
}
}
}
}
}
cout << -1 << endl;
}
int main() {
string str;
int n;
while (cin >> n >> str) {
bfs(str);
}
}
// 64 位输出请用 printf("%lld")