A10269. Different Subsets For All Tuples
编程题
普及/提高-
知识点
题目描述
For a sequence $a$ of $n$ integers between $1$ and $m$ , inclusive, denote $f(a)$ as the number of distinct subsequences of $a$ (including the empty subsequence).
You are given two positive integers $n$ and $m$ . Let $S$ be the set of all sequences of length $n$ consisting of numbers from $1$ to $m$ . Compute the sum $f(a)$ over all $a$ in $S$ modulo $10^{9}+7$ .
You are given two positive integers $n$ and $m$ . Let $S$ be the set of all sequences of length $n$ consisting of numbers from $1$ to $m$ . Compute the sum $f(a)$ over all $a$ in $S$ modulo $10^{9}+7$ .
输入格式
The only line contains two integers $n$ and $m$ ( $1<=n,m<=10^{6}$ ) — the number of elements in arrays and the upper bound for elements.
输出格式
Print the only integer $c$ — the desired sum modulo $10^{9}+7$ .
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