时间限制:C/C++/Rust/Pascal 2秒,其他语言4秒
            空间限制:C/C++/Rust/Pascal 512 M,其他语言1024 M
             64bit IO Format: %lld
        
     
    题目描述
        
        
    
            
            Bobo has a sequence of integers s1, s2, ..., sn where 1 ≤ si ≤ k.
 Find out the number of distinct sequences modulo (109+7) after removing exactly m elements.
                            输入描述:
                                                    The input consists of several test cases and is terminated by end-of-file.
The first line of each test case contains three integers n, m and k.
The second line contains n integers s1, s2, ..., sn.
                                                                            输出描述:
                                                    For each test case, print an integer which denotes the result.
                                                                            
                        
                            示例1
                        
                        
                            
                                输入
                                复制
                                
                                
                                    3 2 2
1 2 1
4 2 2
1 2 1 2
                                 
                             
                            
                                                     
                     
                                                        备注:
                * 1 ≤ n ≤ 105
* 1 ≤ m ≤ min{n - 1, 10}
* 1 ≤ k ≤ 10
* 1 ≤ si ≤ k
* The sum of n does not exceed 106.