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There are N shoppers today at the Bytelandian Shopping Mall. There are M different items at sale at the mall. In how many ways can shoppers purchase R items in all such that everyone buys atleast one item, and every item is brought by atleast one person ? A shopper can purchase any particular item at most once.
Input : The first line contains the number of test cases T. T lines follow containing 3 integers: N,M and R. (1 <= T <= 100. 1 <= N,M <= 200. 1 <= R <= N * M)
Output : Output T lines, one for each test case, containing the output for the corresponding test case. Output all values modulo 1000000007
Sample Input : 3 1 1 1 2 1 1 2 3 3
Sample Output : 1 0 6
|Tags||hard, sept10, syco|
|Time Limit:||0.15 sec|
|Source Limit:||50000 Bytes|
|Languages:||C, CPP14, JAVA, PYTH, PYTH 3.5, PYPY, CS2, PAS fpc, PAS gpc, RUBY, PHP, GO, NODEJS, HASK, rust, SCALA, swift, D, PERL, FORT, WSPC, ADA, CAML, ICK, BF, ASM, CLPS, PRLG, ICON, SCM qobi, PIKE, ST, NICE, LUA, BASH, NEM, LISP sbcl, LISP clisp, SCM guile, JS, ERL, kotlin, PERL6, TEXT, SCM chicken, CLOJ, COB, FS|
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