題目描述
把M個(gè)同樣的蘋果放在N個(gè)同樣的盤子里,允許有的盤子空著不放,問共有多少種不同的分法?(用K表示)5,1,1和1,5,1 是同一種分法。
輸入
每個(gè)用例包含二個(gè)整數(shù)M和N。0<=m<=10,1<=n<=10。<=n<=10<=m<=10
樣例輸入
7 3
樣例輸出
8
import java.util.Scanner;
public class Main{
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n1 = sc.nextInt();
int n2 = sc.nextInt();
System.out.println(getNum(n1,n2));
}
private static int getNum(int apple, int plane) {
// TODO Auto-generated method stub
if((apple<0)||(apple>10)||(plane<1)||(plane>10)){
return -1;
}
else if(apple==1||plane==1||apple==0){
return 1;
}
else if(apple<plane){
return getNum(apple, plane-1);
}
else{
return getNum(apple-plane, plane)+getNum(apple, plane-1);
}
}
}