prithivMLmods/Coder-Stat

1 2<H1><font color="#000">Problem E:</font> Molecular Formula</H1>3 4<p>5Your mission in this problem is to write a computer program that manipulates molecular for-6mulae in <i>virtual chemistry</i>. As in real chemistry, each molecular formula represents a molecule7consisting of one or more atoms. However, it may not have chemical reality.8</p>9<p>10The following are the definitions of atomic symbols and molecular formulae you should consider.11</p>12 13<ul>14<li>  An atom in a molecule is represented by an atomic symbol, which is either a single capital15  letter or a capital letter followed by a small letter. For instance H and He are atomic16  symbols.17</li>18<li>19 A molecular formula is a non-empty sequence of atomic symbols. For instance, HHHeHHHe20  is a molecular formula, and represents a molecule consisting of four H’s and two He’s.21</li>22<li>23 For convenience, a repetition of the same sub-formula <img src="https://judgeapi.u-aizu.ac.jp/resources/images/IMAGE1_molecularFormula1"> where <i>n</i> is an integer24  between 2 and 99 inclusive, can be abbreviated to (<i>X</i>)<i>n</i>. Parentheses can be omitted if25  X is an atomic symbol. For instance, HHHeHHHe is also written as H2HeH2He, (HHHe)2,26  (H2He)2, or even ((H)2He)2.</li>27</ul>28 29 30<p>31The set of all molecular formulae can be viewed as a formal language. Summarizing the above32description, the syntax of molecular formulae is defined as follows.33</p>34 35<center>36<img src="https://judgeapi.u-aizu.ac.jp/resources/images/IMAGE1_molecularFormula2">37</center>38 39<p>40Each atom in our virtual chemistry has its own atomic weight. Given the weights of atoms,41your program should calculate the weight of a molecule represented by a molecular formula.42The molecular weight is defined by the sum of the weights of the constituent atoms. For43instance, assuming that the atomic weights of the atoms whose symbols are H and He are 1 and444, respectively, the total weight of a molecule represented by (H2He)2 is 12.45</p>46 47 48<H2>Input</H2>49 50<p>51The input consists of two parts. The first part, the Atomic Table, is composed of a number of52lines, each line including an atomic symbol, one or more spaces, and its atomic weight which is a positive integer no more than 1000. No two lines include the same atomic symbol.53</p>54<p>55The first part ends with a line containing only the string END OF FIRST PART.56</p>57<p>58The second part of the input is a sequence of lines. Each line is a molecular formula, not59exceeding 80 characters, and contains no spaces. A molecule contains at most 10<sup>5</sup> atoms. Some60atomic symbols in a molecular formula may not appear in the Atomic Table.61</p>62<p>63The sequence is followed by a line containing a single zero, indicating the end of the input.64</p>65 66<H2>Output</H2>67 68<p>69The output is a sequence of lines, one for each line of the second part of the input. Each line70contains either an integer, the molecular weight for a given molecular formula in the correspond-71ing input line if all its atomic symbols appear in the Atomic Table, or UNKNOWN otherwise. No72extra characters are allowed.73</p>74 75<H2>Sample Input</H2>76<pre>77H 178He 479C 1280O 1681F 1982Ne 2083Cu 6484Cc 33385END_OF_FIRST_PART86H2C87(MgF)2As88Cu(OH)289H((CO)2F)9990091 92</pre>93 94<H2>Output for the Sample Input</H2>95<pre>961497UNKNOWN9898997426100</pre>101 102