Alice and Bob plan to play the following game: At the beginning of the game, nnn straight lines have been drawn on the paper, the iii th straight line can be represented as y=aix+biy = a_i*x + b_iy=aix+bi . Then, Alice and Bob draw a straight line on the paper in turn . kkk rounds will be carried out, thus there will be n+2kn+2kn+2k different lines on the paper eventually. Consider the iii th line and the jjj th line (i
Alice and Bob plan to play the following game: At the beginning of the game, nnn straight lines have been drawn on the paper, the iii th straight line can be represented as y=ai∗x+biy = a_i*x + b_iy=ai∗x+bi (It's guaranteed that all straight lines are different). Then, Alice and Bob draw a straight line on the paper in turn (It's also required that the new line cannot coincide with any existing one). kkk rounds will be carried out, thus there will be n+2kn+2kn+2k different lines on the paper eventually. Consider the iii th line and the jjj th line (i