#include <stdio.h>
typedef long unsigned int L; // visible bits
typedef long unsigned int O; // invisible bits
typedef long unsigned int I; // private to clan
const int k = 60;
const L m = (1L<<k)-1;

typedef int B; // Bool
L size(O a){return (a^(a-1))+1;}
I top(O a){return a|(a-1);}
I bot(O a){return a&(a-1);}
B within(O a, O b){return bot(b)<=bot(a)&&top(a)<=top(b);} // a⊆b
L locate(O a, O b){return within(a, b)?a^b^size(b):0;}
O sub(O m, L s){L t = size(m); return s<=t?(m&~(t>>1))|s:0;}

int main(){
for(int j=0; j<32; ++j) printf("%2x %2lx %2lx\n", j, bot(j), top(j));
for(int i=0; i<64; ++i) printf("%c", within(i, 0x4L)?'T':'F'); printf("\n");
return 0;}

/*
101001000
101000000
101000001
...
101001110
101001111
*/