#include <stdio.h>

const int sg[50001] = {0,1,2,3,1,4,3,2,1,4,2,6,4,1,2,7,1,4,3,2,1
,4,6,7,4,1,2,8,5,4,7,2,1,8,6,7,4,1,2,3,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,4,2,7,4
,1,2,8,1,4,7,2,1,8,6,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
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,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1
,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4
,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1
};

int main()
{
	freopen("bowling.in","r",stdin);
	freopen("bowling.out","w",stdout);

	int i, test, t, n, a, sol, cnt;

	scanf("%d ", &t);

	for(test = 1; test <= t; ++test)
	{
		sol = 0;
		cnt = 0;
		scanf("%d", &n);
		for(i = 1; i <= n; ++i)
		{
			scanf("%d", &a);
			if(a)
				++cnt;
			else
			{
				sol ^= sg[cnt];
				cnt = 0;
			}
		}
		sol ^= sg[cnt];
		if(sol)
		{
			printf("Nargy\n");
		}
		else
		{
			printf("Fumeanu\n");
		}	
	}
}