Basic exercises -Sine Dance

---

title: basic exercises Sine dance
categories:

• ACM
• Recursive
  tags:
• Logic
  date: 2020-03-14 16:08:27

---

Careful observation, nested, then write it on the line

problem

Questions basic exercises Sine Dance

By submitting this question

Resource constraints

Time limit: 1.0s Memory Limit: 512.0MB

Problem Description

FJ recently opened a mathematical analysis course for his cows, FJ know to learn this course, it must have a good basic trigonometric functions. So he was ready and cows do a "Sine Dance" game, entertaining, raise cows computing power.
　　You may wish to set
　　An = SiN (. 1-SiN (2 + SiN (. 3-SiN (. 4 + ... SiN (n-)) ...)
　　of Sn = (... (A1 + n-) A2 + n--. 1) A3 + ... + 2) An + 1
　　FJ want cows to calculate the value of Sn, please FJ help you print out the full expression of Sn to facilitate cows do problems.

Input Format

Only a few: N <201.

Output Format

Please output the corresponding expression Sn, with a newline character. Output must not contain extra space or line feed, carriage return.

Sample input

3

Sample Output

((Sin (1) +3) sin (1-sin (2)) + 2) sin (1-sin (2 + sin (3))) + 1

algorithm

#include<iostream>
#include<string>
#include<stdio.h>
using namespace std;
void p(int s,int e)
{
	if(s==e) {
		printf("sin(%d)",e);
		return ;
	}
	char c=s&1?'-':'+';
	printf("sin(%d%c",s,c);
	p(s+1,e);
	cout<<")";
}
void pp(int an,int nn)
{
	if(an==1)
	{
		p(1,an);
		cout<<"+"<<nn;
		return ;
	}
	cout<<"(";
	pp(an-1,nn+1);
	cout<<")";
	p(1,an);
	cout<<"+"<<nn;
}
int main(){	
	int n;
	cin>>n;
	pp(n,1);
}