Java洛谷P1028 数的计算

题目链接:https://www.luogu.com.cn/problem/P1028

代码实例:

import java.util.Scanner;


public class Main {

	public static void main(String[] args) {
		Scanner scanner = new Scanner(System.in);
		int f[] = new int[10001];
		int n = scanner.nextInt();
		
		/**
		 *  递推公式:
		 *  f[1]=1
		 *  f[2]=2=f[1]+1
		 *	f[3]=2=f[1]+1
		 *  f[4]=4=f[1]+f[2]+1
		 *  f[5]=4=f[1]+f[2]+1
		 */
		for (int i = 1; i <= n; i++) {
			for (int j = 1; j <= i/2; j++) {
				f[i] += f[j];
			}
			f[i]++;
		}
		
		System.out.println(f[n]);
		scanner.close();
	}

}