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CodeForce 424C Magic Formulas

时间:2015-07-30 11:19:48      阅读:143      评论:0      收藏:0      [点我收藏+]

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这个题就是求出给的公式的结果。


只要知道异或运算满足交换律跟结合律就行了,之后就是化简公式。


#include<map>
#include<string>
#include<cstring>
#include<cstdio>
#include<cstdlib>
#include<cmath>
#include<queue>
#include<vector>
#include<iostream>
#include<algorithm>
#include<bitset>
#include<climits>
#include<list>
#include<iomanip>
#include<stack>
#include<set>
using namespace std;
int psum[1000010];
int main()
{
	int n;
	cin>>n;
	int ans=0;
	for(int i=0;i<n;i++)
	{
		int t;
		scanf("%d",&t);
		ans^=t;
	}
	for(int i=1;i<n;i++)
		psum[i]=i^psum[i-1];
	for(int i=1;i<=n;i++)
	{
		int t=n/i;
		if(t&1)
			ans^=psum[i-1];
		t=n%i;
		ans^=psum[t];
	}
	cout<<ans;
}



Magic Formulas
time limit per test
 2 seconds
memory limit per test
 256 megabytes
input
 standard input
output
 standard output

People in the Tomskaya region like magic formulas very much. You can see some of them below.

Imagine you are given a sequence of positive integer numbers p1p2, ..., pn. Lets write down some magic formulas:

技术分享
技术分享

Here, "mod" means the operation of taking the residue after dividing.

The expression 技术分享 means applying the bitwise xor (excluding "OR") operation to integers x and y. The given operation exists in all modern programming languages. For example, in languages C++ and Java it is represented by "^", in Pascal — by "xor".

People in the Tomskaya region like magic formulas very much, but they don‘t like to calculate them! Therefore you are given the sequence p, calculate the value of Q.

Input

The first line of the input contains the only integer n (1?≤?n?≤?106). The next line contains n integers: p1,?p2,?...,?pn (0?≤?pi?≤?2·109).

Output

The only line of output should contain a single integer — the value of Q.

Sample test(s)
input
3
1 2 3
output
3

版权声明:本文为博主原创文章,未经博主允许不得转载。

CodeForce 424C Magic Formulas

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原文地址:http://blog.csdn.net/stl112514/article/details/47146013

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