CF660E.Different Subsets For All Tuples

普及/提高-

通过率:0%

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题目描述

For a sequence aa of nn integers between 11 and mm , inclusive, denote f(a)f(a) as the number of distinct subsequences of aa (including the empty subsequence).

You are given two positive integers nn and mm . Let SS be the set of all sequences of length nn consisting of numbers from 11 to mm . Compute the sum f(a)f(a) over all aa in SS modulo 109+710^{9}+7 .

输入格式

The only line contains two integers nn and mm ( 1<=n,m<=1061<=n,m<=10^{6} ) — the number of elements in arrays and the upper bound for elements.

输出格式

Print the only integer cc — the desired sum modulo 109+710^{9}+7 .

输入输出样例

  • 输入#1

    1 3
    

    输出#1

    6
    
  • 输入#2

    2 2
    

    输出#2

    14
    
  • 输入#3

    3 3
    

    输出#3

    174
    
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