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  1. Prepare
  2. Algorithms
  3. Implementation
  4. Number Line Jumps
  5. Discussions

Number Line Jumps

  • [deleted]     + 0 comments

    it's basically a problem to check if two different arithmetic progressions have a same term at some n.

    let a1 = x1 and d1 = v1 and a2 = x2 and d2 = v2
now
=> a1 + (n - 1) d1 = a2 + (n - 1) d2
=> a1 + a2 = (n - 1) (d2 - d1)
=> (a1 + a2) / (d2 - d1) = n - 1
=> n = 1 + (a1 + a2) / (d2 - d1)  
// ensure (d2 - d1) = 1 if it is zero, to avoid error

if n > 0 then YES otherwise NO