I truly do not want to believe there is no way to predict the next interception point. I can predict *a* interception point. The problem is this is not always the next. As such, it is competely useless for my purpose.

I have attached a visual depiction of the problem using dead angel monkeys (I was bored and frustrated with the numbers side). Anyways, the depiction starts at location -2. Monkey 4 jumps 4 on his first move and falls into hell. Monkey 5 jumps 5 and is safe, for now.

The thing is when you represent the numbers of their distance from the closest hotspot you find the following:

Monkey 5:

Jump:1

StepSize:5

NextHotSpot:10

Distance:3

Jump:2

StepSize:6

NextHotSpot:15

Distance:2

Jump:3

StepSize:7

NextHotSpot:21

Distance:1

Jump:4

StepSize:8

NextHotSpot:28

Distance:0

Now, as you can see the distance from next recedes by 1 with each jump and starts at a distance of 3. I can infer by measurements between jumps 1 and 2 that he will finish on jump 4.

That is all beautifully simple but I am not sure how to handle situations such as the following:

Monkey 10:

Jump:1

StepSize:10

NextHotSpot:15

Distance:3

Jump:2

StepSize:11

NextHotSpot:28

Distance:5

Jump:3

StepSize:12

NextHotSpot:36

Distance:1

Jump:4

StepSize:13

NextHotSpot:55

Distance:7

Jump:5

StepSize:14

NextHotSpot:66

Distance:4

Jump:6

StepSize:15

NextHotSpot:78

Distance:1

Jump:7

StepSize:16

NextHotSpot:105

Distance:12

Jump:8

StepSize:17

NextHotSpot:120

Distance:10

Jump:9

StepSize:18

NextHotSpot:136

Distance:8

Jump:10

StepSize:19

NextHotSpot:153

Distance:6

Jump:11

StepSize:20

NextHotSpot:171

Distance:4

Jump:12

StepSize:21

NextHotSpot:190

Distance:2

Jump:13

StepSize:22

NextHotSpot:210

Distance:0

So, what I want is to say jump 1 is, infact, a distance of 24 from hotspot 36 instead of 3 away from 15. Then, the rest fall into pattern accordingly. Jump 2 would be 22 away from 45, 3 would be 20 away from 55 etc etc until collision. I need to use the distance of 3 from 15 in step 1 and the distance of 5 from 28 in step 2 to arrive at step one's needed hotspot measurement from 36 and not 15.