Suppose the length of the rope is one meter,
1 root uses 1/4 steps, and the second root uses 1/4 steps.
When a= 1m, use as many ropes as possible;
When a< 1m,1/4 > A/4 # 1 root is used more;
When a> is at 1m, the second root of 1/4 < A/4 is used more.