B. Magic Forest

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

Imp is in a magic forest, where xorangles grow (wut?)

A xorangle of order n is such a non-degenerate triangle, that lengths of its sides are integers not exceeding n, and the xor-sum of the lengths is equal to zero. Imp has to count the number of distinct xorangles of order n to get out of the forest.

Formally, for a given integer n you have to find the number of such triples (a, b, c), that:

• 1 ≤ a ≤ b ≤ c ≤ n;
• , where denotes the of integers x and y.
• (a, b, c) form a non-degenerate (with strictly positive area) triangle.

Input

The only line contains a single integer n (1 ≤ n ≤ 2500).

Output

Print the number of xorangles of order n.

Examples

Input

Copy

6

Output

1

Input

Copy

10

Output

2

Note

The only xorangle in the first sample is (3, 5, 6).

 

分析：暴力出奇迹=_=。

#include
        
         #include
         
          using namespace std;int main(){    int N,ans=0;    scanf("%d",&N);    for(int i=1;i<=N;i++)    {        for(int j=i+1;j<=N;j++)        {            int MAX=min(N+1,i+j);//i+j>k&&i+k>j&&k+j>iprintf("(%d,%d,%d)\n",i,j,k);            for(int k=j+1;k
         
        

 

 这个15ms左右： 

#include
        
         int main(){    int N,ans=0;    scanf("%d",&N);    for(int i=1;i<=N;i++)    {        for(int j=i+1;j<=N;j++)        {            int k=i^j;            if(k>j&&k<=N&&i+j>k&&i+k>j&&k+j>i) ans++;        }    }    printf("%d\n",ans);    return 0;}