prithivMLmods/Coder-Stat

1 2<script type="text/x-mathjax-config">3  MathJax.Hub.Config({ tex2jax: { inlineMath: [["$","$"], ["\\(","\\)"]], processEscapes: true }});4</script>5<script type="text/javascript" src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-MML-AM_CHTML">6</script>7 8 9<H1>A Point in a Triangle</H1>10 11<p>12There is a triangle formed by three points $(x_1, y_1)$, $(x_2, y_2)$, $(x_3, y_3)$ on a plain.13</p>14<p>15Write a program which prints "<span>YES</span>" if a point $P$ $(x_p, y_p)$ is in the triangle and "<span>NO</span>" if not.16</p>17 18<!--19<p>20You can suppose that P is never on the points nor sides of the triangle.21</p>22-->23 24 25<H2>Input</H2>26 27<p>28Input consists of several datasets. Each dataset consists of:<br/>29<br/>30$x_1$ $y_1$ $x_2$ $y_2$ $x_3$ $y_3$ $x_p$ $y_p$<br/>31</p>32 33<p>34All the input are real numbers. Input ends with EOF. The number of datasets is less than or equal to 100.35</p>36 37<h2>Constraints</h2>38<p>39You can assume that:40</p>41 42<ul>43<li>$ -100 \leq x_1, y_1, x_2, y_2, x_3, y_3, x_p, y_p \leq 100$</li>44<li>1.0 $\leq$ Length of each side of a tringle</li>45<li>0.001 $\leq$ Distance between $P$ and each side of a triangle</li>46</ul>47 48<H2>Output</H2>49 50<p>51For each dataset, print "<span>YES</span>" or "<span>NO</span>" in a line.52</p>53 54<H2>Sample Input</H2>55 56<pre>570.0 0.0 2.0 0.0 2.0 2.0 1.5 0.5580.0 0.0 1.0 4.0 5.0 3.0 -1.0 3.059</pre>60 61<H2>Output for the Sample Input</H2>62 63<pre>64YES65NO66</pre>67 68 69