Canadian Computing Competition: 2010 Stage 1, Junior #2
Nikky and Byron are playing a silly game in gym class.
Nikky is told by his teacher to walk forward steps () and then walk backward steps (), after which he repeats forward, backward, etc. Likewise, Byron is told to walk forward steps () and then walk backward steps (), after which he repeats forward, backward, etc. You may assume that and .
Byron and Nikky have the same length of step, and they are required to take their steps simultaneously (that is, Nikky and Byron will both step forward on their first steps at the same time, and this will continue for each step).
Nikky and Byron start walking from one end of a soccer field. After steps (), the gym teacher will blow the whistle. Your task is to figure out who has moved the farthest away from the starting position when the whistle is blown.
The input will be the 5 integers , , , , and , each on a separate line.
The output of your program will be one of three possibilities:
Nikky is farther ahead after steps are taken;
Byron if Byron is
farther ahead after steps are taken;
Tied if Byron and Nikky are at
the same distance from their starting position after steps are
4 2 5 3 12
Output for Sample Input
Explanation of Output for Sample Input
Notice that after steps, Nikky has moved steps, for a total of steps from the starting position, whereas Byron has moved steps, for a total of steps from the starting position. Thus, Byron is ahead.