Put four different whole numbers from 1 to 49, in the corners, then subtract the smaller from the larger and put the answers in between. Keep doing this until all four numbers become equal. How many steps can you make it last? The demo is "(14, 30, 18, 37) lasts 3 steps (don't count the step where they produce the same number)." Find the longest lasting case.

## Question

## BMAD

Put four different whole numbers from 1 to 49, in the corners, then subtract the smaller from the larger and put the answers in between. Keep doing this until all four numbers become equal. How many steps can you make it last? The demo is "(14, 30, 18, 37) lasts 3 steps (don't count the step where they produce the same number)." Find the longest lasting case.

DEMO:

stage 0

14 30 ----> 30-14

37-14 30-18

37 18 37-18

stage 1

16 16-13 16-12

13 12

19 19-13 19-12

stage 2

3 4

6 7

stage 3

1

3 3

1

Stage 4 is stasis so it doesn't count

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