蓝桥杯—— 基础练习之Sine之舞

import java.util.Scanner;


public class Main{

	/**
	 * @param args
	 */
	public static void main(String[] args) {
		// TODO Auto-generated method stub
		
		Scanner scanner=new Scanner(System.in);
		
		System.out.println(s(Integer.parseInt(scanner.nextLine()), 1));		
		//System.out.print(sin(3, 1));
	}
	
	static String s(int n,int i)
	{
		if(i==n)
		{
			return ""+An(n)+"+"+(n-i+1);
		}
		else {
			return "("+An(i)+"+"+(n-i+1)+")"+""+s(n, i+1)+"";
		}
	}
	
	static String An(int n)
	{
		return sin(n, 1);
	}
	
	static String sin(int n,int i)
	{
		if(i==n)
		{
			return "sin("+n+")";			
		}
		else {
			if(i%2==0)
				return "sin("+i+"+"+sin(n, i+1)+")";//(int)Math.pow(-1,i)
			else {
				return "sin("+i+"-"+sin(n, i+1)+")";
			}
		}
	}

}