You own a weird calculator with only 4 buttons, which perform the following 4 operations: . Your challenge is to add 1 to the numbers below by only pushing these buttons. For example, 12 → 13 with 2 buttons has solution: .
A. 4 → 5 with 3 buttons
B. 5 → 6 with 3 buttons
C. 9 → 10 with 3 buttons
D. 15 → 16 with 3 buttons
E. 16 → 17 with 3 buttons
F. 34 → 35 with 3 buttons
G. 6 → 7 with 4 buttons
H. 17 → 18 with 4 buttons
I. 30 → 31 with 4 buttons
J. 38 → 39 with 4 buttons
K. 53 → 54 with 4 buttons
L. 56 → 57 with 4 buttons
M. 3 → 4 with 5 buttons
N. 26 → 27 with 5 buttons
O. 37 → 38 with 5 buttons
P. 48 → 49 with 5 buttons
Q. 59 → 60 with 5 buttons
R. 78 → 79 with 5 buttons
S. 18 → 19 with 6 buttons
T. 25 → 26 with 6 buttons
U. 65 → 66 with 6 buttons
V. 72 → 73 with 6 buttons
W. 81 → 82 with 6 buttons
X. 88 → 89 with 6 buttons
The answers are here.