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One lovely afternoon, Bessie's friend Heidi was helping Bessie review for her upcoming math exam.
Heidi presents two integers A (0 <= A <= 45) and B (1 <= B <= 9) to Bessie who must respond with an integer E in the range 1..62. E is the smallest integer in that range that is strictly greater than A and also has B as the first digit of 2 raised to the E-th power. If there is no answer, Bessie responds with 0.
Help Bessie correctly answer all of Heidi's questions by calculating her responses.
By way of example, consider A=1 and B=6. Bessie might generate a table like this:
E 2^E First digit of 2^E 2 4 4 3 8 8 4 16 1 5 32 3 6 64 6 <-- matches B
Thus, E=6 is the proper answer.
NOTE: The value of 2^44 does not fit in a normal 32-bit integer.