Hey, Codeforces I suffered for awhile from writing efficient codes for binary searching, but recently I found an efficient way using bit masking. Say you want to maximize a result using binary search and good function that return true if it's oky or false otherwise. so our binary search would be like that:

__int64 r = 0; for(int i = 62; i >= 0; --i) { if( good(r + (1LL<<i)) ) r += (1LL<<i); }

now you can binary search with out usage of variables such as low and high and middle which would lead to infinite loops.