[{"sectionTitle":"题目描述","type":"Text","text":"原题来自：HNOI 2008\r\n\r\n监狱有连续编号为 $1$ 到 $n$ 的 $n$ 个房间，每个房间关押一个犯人。有 $m$ 种宗教，每个犯人可能信仰其中一种。如果相邻房间的犯人信仰的宗教相同，就可能发生越狱。求有多少种状态可能发生越狱。","subType":"markdown"},{"sectionTitle":"输入格式","type":"Text","text":"输入两个整数 $m$ 和 $n$。","subType":"markdown"},{"sectionTitle":"输出格式","type":"Text","text":"可能越狱的状态数，对 $100003$ 取余。","subType":"markdown"},{"sectionTitle":"样例","type":"Sample","text":"所有可能的 $6$ 种状态为：$\\{0,0,0\\},\\{0,0,1\\},\\{0,1,1\\},\\{1,0,0\\},\\{1,1,0\\},\\{1,1,1\\}$。","subType":"markdown","payload":["2 3","6"]},{"sectionTitle":"数据范围与提示","type":"Text","text":"对于全部数据，$1\\le m\\le 10^8,1\\le n\\le 10^{12}$。","subType":"markdown"}]