# Problem B. Professor Q's Software ### Source - [hihoCoder](http://hihocoder.com/contest/mstest2015april/problem/2) ### Problem 鏃堕棿闄愬埗:10000ms 鍗曠偣鏃堕檺:1000ms 鍐呭瓨闄愬埗:256MB ### 鎻忚堪 Professor Q develops a new software. The software consists of N modules whichare numbered from 1 to N. The i-th module will be started up by signal Si. Ifsignal Si is generated multiple times, the i-th module will also be startedmultiple times. Two different modules may be started up by the same signal.During its lifecircle, the i-th module will generate Ki signals: E1, E2, ...,EKi. These signals may start up other modules and so on. Fortunately thesoftware is so carefully designed that **there is no loop in the startingchain of modules**, which means eventually all the modules will be stoped.Professor Q generates some initial signals and want to know how many timeseach module is started.  ### 杈撳叆 The first line contains an integer T, the number of test cases. T test casesfollows. For each test case, the first line contains contains two numbers N and M,indicating the number of modules and number of signals that Professor Qgenerates initially. The second line contains M integers, indicating the signals that Professor Qgenerates initially. Line 3~N + 2, each line describes an module, following the format S, K, E1,E2, ... , EK. S represents the signal that start up this module. K representsthe total amount of signals that are generated during the lifecircle of thismodule. And E1 ... EK are these signals. For 20% data, all N, M <= 10For 40% data, all N, M <= 103For 100% data, all 1 <= T <= 5, N, M <= 105, 0 <= K <= 3, 0<= S, E <= 105. **Hint: HUGE input in this problem. Fast IO such as scanf and BufferedReader are recommended.** ### 杈撳嚭 For each test case, output a line with N numbers Ans1, Ans2, ... , AnsN. Ansiis the number of times that the i-th module is started. In case the answersmay be too large, output the answers modulo 142857 (the remainder of divisionby 142857). 鏍蜂緥杈撳叆 ~~~ 3 3 2 123 256 123 2 456 256 456 3 666 111 256 256 1 90 3 1 100 100 2 200 200 200 1 300 200 0 5 1 1 1 2 2 3 2 2 3 4 3 2 4 5 4 2 5 6 5 2 6 7 ~~~ 鏍蜂緥杈撳嚭 ~~~ 1 1 3 1 2 2 1 1 2 3 5 ~~~