Arbitrage is the use of discrepancies in currency exchange rates to transform one unit of a currency into more than one unit of the same currency. For example, suppose that \textbf{1} US Dollar buys \textbf{0.5} British pound, \textbf{1} British pound buys \textbf{10.0 }French francs, and \textbf{1} French franc buys \textbf{0.21} US dollar. Then, by converting currencies, a clever trader can start with \textbf{1} US dollar and buy \textbf{0.5 * 10.0 * 0.21 = 1.05} US dollars, making a profit of \textbf{5} percent. Your job is to write a program that takes a list of currency exchange rates as input and then determines whether arbitrage is possible or not. \InputFile The input file will contain one or more test cases. On the first line of each test case there is an integer \textbf{n} (\textbf{1} ≤ \textbf{n} ≤ \textbf{30}), representing the number of different currencies. The next \textbf{n} lines each contain the name of one currency. Within a name no spaces will appear. The next line contains one integer \textbf{m}, representing the length of the table to follow. The last \textbf{m }lines each contain the name \textbf{c_i} of a source currency, a real number \textbf{r_ij} which represents the exchange rate from \textbf{c_i} to \textbf{c_j}and a name \textbf{c_j} of the destination currency. Exchanges which do not appear in the table are impossible. Test cases are separated from each other by a blank line. Input is terminated by a value of zero (\textbf{0}) for \textbf{n}. \OutputFile For each test case, print one line telling whether arbitrage is possible or not in the format "\textbf{Case i: Yes}" respectively "\textbf{Case i: No}", where \textbf{i} is number test in data set.