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='http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML'></script>6</script>7 8 9<h2>Problem B10Squeeze the Cylinders</h2>11 12 13<p>14Laid on the flat ground in the stockyard are a number of heavy metal cylinders with (possibly) different diameters but with the same length. Their ends are aligned and their axes are oriented to exactly the same direction.15</p>16 17<p>18We'd like to minimize the area occupied. The cylinders are too heavy to lift up, although rolling them is not too difficult. So, we decided to push the cylinders with two high walls from both sides.19</p>20 21<p>22Your task is to compute the minimum possible distance between the two walls when cylinders are squeezed as much as possible. Cylinders and walls may touch one another. They cannot be lifted up from the ground, and thus their order cannot be altered.23</p>24 25<center>26<img src="https://judgeapi.u-aizu.ac.jp/resources/images/IMAGE2_ICPCAsia2015_SqueezeTheCylinders_1"><br>27<p>28Figure B.1. Cylinders between two walls29</p>30 31</center>32 33 34 35 36<h3>Input</h3>37 38<p>39The input consists of a single test case. The first line has an integer $N$ $(1 \leq N \leq 500)$, which is the number of cylinders. The second line has $N$ positive integers at most 10,000. They are the radii of cylinders from one side to the other.40</p>41 42 43 44<h3>Output</h3>45 46<p>47Print the distance between the two walls when they fully squeeze up the cylinders. The number should not contain an error greater than 0.0001.48</p>49 50 51 52<h3>Sample Input 1</h3>53 54<pre>25510 10</pre>56 57<h3>Sample Output 1</h3>58 59<pre>40.00000000</pre>60 61 62 63 64<h3>Sample Input 2</h3>65 66<pre>2674 12</pre>68 69<h3>Sample Output 2</h3>70 71<pre>29.85640646</pre>72 73 74 75 76 77<h3>Sample Input 3</h3>78 79<pre>5801 10 1 10 1</pre>81 82<h3>Sample Output 3</h3>83 84<pre>40.00000000</pre>85 86 87 88 89 90<h3>Sample Input 4</h3>91 92<pre>3931 1 1</pre>94 95<h3>Sample Output 4</h3>96 97<pre>6.00000000</pre>98 99 100 101 102 103<h3>Sample Input 5</h3>104 105<pre>21065000 10000</pre>107 108<h3>Sample Output 5</h3>109 110<pre>29142.13562373</pre>111 112<p>113The following figures correspond to the Sample 1, 2, and 3.114</p>115 116<center>117<img src="https://judgeapi.u-aizu.ac.jp/resources/images/IMAGE2_ICPCAsia2015_SqueezeTheCylinders_2">118</center>119 120 121 122