Algorithm Description: There are N people, numbered from 1 to N, sitting in a circle. People count off, and the person who reports the number M is eliminated. The next person starts counting from 1 again, and this process continues until only one person remains. Report the number X of this last remaining person. Given N and M as input, find X. Below, two solutions are provided. The first one is a more conventional approach, suitable for "orthodox schools," while the second one is much more ingenious...