title: (Chromosome Region end-start+1) calculation output value is negative during Copy number alteration analysis using GAIA
body: <p>all</p>
  <p>I'm analyzing TCGA Copy number alteration data using the GAIA package in R.</p>
  <p>After runGAIA, I knew that there was an issue.</p>
  <p>In general, the start position of a chromosome has to be smaller than the end position.</p>
  <p>However, several start position numbers are larger than the end position, which means the value of the end position - start position + 1 becomes negative.
  <a href="https://i.stack.imgur.com/ixE4T.png" rel="nofollow noreferrer">enter image description here</a>
  What is this means? And how can I solve this issue?</p>
  <p>Thank you for your comments.</p>
  <p>Sincerely,</p>
  <p>Dongyoung Seo from South Korea.</p>