#include <stdio.h>
int main(void)
{
int t;
scanf("%d", &t);
while (t–)
{
int n;
scanf("%d", &n);
int a[2][n];
int same = 1;
int bigger = 1;
int back = 1;
for (int i = 0; i < 2; i++)
{
for (int j = 0; j < n; j++)
{
scanf("%d", &a[i][j]);
}
}
for (int i = 0; i < n; i++)
{
if (a[0][i] != a[1][i])
{
same = 0;
}
else if (!(a[0][i] <= a[1][i]))
{
bigger = 0;
}
else if (!(a[0][i] <= a[1][n - 1 - i]))
{
back = 0;
}
}
if (same)
{
printf("both\n");
}
else if (bigger)
{
printf("front\n");
}
else if (back)
{
printf("back\n");
}
else
{
printf("none\n");
}
}
return 0;
}