[{"sectionTitle":"题目描述","type":"Text","text":"将整数 $n$ 分成 $k$ 份，且每份不能为空，问有多少种不同的分法。当 $n=7, k=3$ 时，下面三种分法被认为是相同的：$1,1,5$; $1,5,1$; $5,1,1$","subType":"markdown"},{"sectionTitle":"输入格式","type":"Text","text":"一行两个数 $n$ , $k$。","subType":"markdown"},{"sectionTitle":"输出格式","type":"Text","text":"一行一个整数，即不同的分法数。","subType":"markdown"},{"sectionTitle":"样例","type":"Sample","text":"四种分法为：$1,1,5$；$1,2,4$；$1,3,3$；$2,2,3$。","subType":"markdown","payload":["7 3","4"]},{"sectionTitle":"数据范围与提示","type":"Text","text":"$6 \\leq n \\leq 200,$ $2 \\leq k \\leq 6$。","subType":"markdown"}]