#include <cstdio>
#include <cstring>
using namespace std;
int main(void)
{
int t, n, i;
scanf ("%d", &t);
for (t; t > 0; --t)
{
int count = 0;
scanf ("%d", &n);
char str[1001] = {'\0'};
scanf ("%s", str);
if (n == 1)
{
;
}
else
{
for (i = 1; i < (n-1); ++i)
{
if (str[i] == '1')
{
str[i] = 'a';
str[i-1] = 'a';
str[i+1] = 'a';
}
}
}
if (str[0] == '1')
{
str[0] = 'a';
str[1] = 'a';
}
if (str[n-1] == '1')
{
str[n-1] = 'a';
str[n-2] = 'a';
}
for (i = 0; i < n; ++i)
{
if (str[i] == '0')
++count;
}
printf ("%d\n", count);
}
return 0;
}
I2luY2x1ZGUgPGNzdGRpbz4KI2luY2x1ZGUgPGNzdHJpbmc+CnVzaW5nIG5hbWVzcGFjZSBzdGQ7CmludCBtYWluKHZvaWQpIAp7CglpbnQgdCwgbiwgaTsKCXNjYW5mICgiJWQiLCAmdCk7Cglmb3IgKHQ7IHQgPiAwOyAtLXQpCgl7CgkJaW50IGNvdW50ID0gMDsKCQlzY2FuZiAoIiVkIiwgJm4pOwoJCWNoYXIgc3RyWzEwMDFdID0geydcMCd9OwoJCXNjYW5mICgiJXMiLCBzdHIpOwoJCWlmIChuID09IDEpCgkJewoJCQk7CgkJfQoJCWVsc2UKCQl7CgkJCWZvciAoaSA9IDE7IGkgPCAobi0xKTsgKytpKQoJCQl7CgkJCQlpZiAoc3RyW2ldID09ICcxJykKCQkJCXsKCQkJCQlzdHJbaV0gPSAnYSc7CgkJCQkJc3RyW2ktMV0gPSAnYSc7CgkJCQkJc3RyW2krMV0gPSAnYSc7CgkJCQl9CQoJCQl9CgkJfQkKCQlpZiAoc3RyWzBdID09ICcxJykKCQl7CgkJCXN0clswXSA9ICdhJzsKCQkJc3RyWzFdID0gJ2EnOwoJCX0JCgkJaWYgKHN0cltuLTFdID09ICcxJykKCQl7CgkJCXN0cltuLTFdID0gJ2EnOwoJCQlzdHJbbi0yXSA9ICdhJzsKCQl9CQoJCWZvciAoaSA9IDA7IGkgPCBuOyArK2kpCgkJewoJCQlpZiAoc3RyW2ldID09ICcwJykKCQkJCSsrY291bnQ7CgkJfQoJCXByaW50ZiAoIiVkXG4iLCBjb3VudCk7Cgl9CglyZXR1cm4gMDsKfQ==