New RestaurantProblem code: NEWREST |
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Chef Dengklek will open a new restaurant in the city. The restaurant will be open for N days. He can cook M different types of dish. He would like to cook a single dish every day, such that for the entire N days, he only cook at most K distinct types of dishes.
In how many ways can he do that?
Input
The first line contains a single integer T, the number of test cases. T test cases follow. Each test case consists of a single line consisting of three integers N, M, K.
Output
For each test case, output a single line consisting the number of different ways he can cook for the entire N days, modulo 1000000007.
Constraints
- 1 ? T ? 100
- 1 ? N ? 1000
- 1 ? M ? 1000000
- 1 ? K ? 1000
Example
Input:
4 1 1 1 2 2 2 4 3 2 5 7 3
Output:
1 4 45 5887
| Author: | fushar |
| Date Added: | 6-09-2011 |
| Time Limit: | 2 sec |
| Source Limit: | 50000 Bytes |
| Languages: | ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, ERL, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TCL, TEXT, WSPC |
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