Problem Link ~~~~~ // package Quarantine;
import java.io.*; import java.util.Arrays; import java.util.StringTokenizer;
public class Present { static class Reader { final private int BUFFER_SIZE = 1 << 16; private DataInputStream din; private byte[] buffer; private int bufferPointer, bytesRead;
public Reader()
{
din = new DataInputStream(System.in);
buffer = new byte[BUFFER_SIZE];
bufferPointer = bytesRead = 0;
}
public Reader(String file_name) throws IOException
{
din = new DataInputStream(new FileInputStream(file_name));
buffer = new byte[BUFFER_SIZE];
bufferPointer = bytesRead = 0;
}
public String readLine() throws IOException
{
byte[] buf = new byte[64]; // line length
int cnt = 0, c;
while ((c = read()) != -1)
{
if (c == '\n')
break;
buf[cnt++] = (byte) c;
}
return new String(buf, 0, cnt);
}
public int nextInt() throws IOException
{
int ret = 0;
byte c = read();
while (c <= ' ')
c = read();
boolean neg = (c == '-');
if (neg)
c = read();
do
{
ret = ret * 10 + c - '0';
} while ((c = read()) >= '0' && c <= '9');
if (neg)
return -ret;
return ret;
}
public long nextLong() throws IOException
{
long ret = 0;
byte c = read();
while (c <= ' ')
c = read();
boolean neg = (c == '-');
if (neg)
c = read();
do {
ret = ret * 10 + c - '0';
}
while ((c = read()) >= '0' && c <= '9');
if (neg)
return -ret;
return ret;
}
public double nextDouble() throws IOException
{
double ret = 0, div = 1;
byte c = read();
while (c <= ' ')
c = read();
boolean neg = (c == '-');
if (neg)
c = read();
do {
ret = ret * 10 + c - '0';
}
while ((c = read()) >= '0' && c <= '9');
if (c == '.')
{
while ((c = read()) >= '0' && c <= '9')
{
ret += (c - '0') / (div *= 10);
}
}
if (neg)
return -ret;
return ret;
}
private void fillBuffer() throws IOException
{
bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
if (bytesRead == -1)
buffer[0] = -1;
}
private byte read() throws IOException
{
if (bufferPointer == bytesRead)
fillBuffer();
return buffer[bufferPointer++];
}
public void close() throws IOException
{
if (din == null)
return;
din.close();
}
}
public static void main(String[] args)throws IOException {
Reader s=new Reader();
int n=s.nextInt();
int a[]=new int[n+1];
for(int i=1;i<=n;i++){
a[i]=s.nextInt();
}
int ans=0;
for(int i=0;i<=25;i++){
int b[]=getArray(a,i);
Arrays.sort(b);
long count=getCount(b,n,i);
if(count%2!=0){
ans|=1<<i;
}
}
System.out.println(ans);
}
public static int[] getArray(int a[],int k){
int b[]=new int[a.length];
int t=1<<(k+1);
for(int i=1;i<a.length;i++){
b[i]=a[i]%t;
}
return b;
}
public static long getCount(int b[],int n,int k){
long ans=0;
int left1=1<<k;
int right1=1<<(k+1);
int left2=(1 << k) + (1 << (k + 1));
int right2=1 << (k + 2) - 1;
int x=n+1;
for(int i=1;i<=n;i++){
int rc=getInd(b,i,n,left1);
if(rc==x){
continue;
}
int lc=getInd(b,i,n,right1);
ans+=lc-rc;
if(k!=0) {
rc = getInd(b, i, n, left2);
if(rc==x){
continue;
}
lc = getInd(b, i, n, right2);
ans += lc - rc;
}
}
return ans;
}
public static int getInd(int a[],int ind,int n,int reqd){
int num=a[ind];
int low=ind+1;
int high=n;
int ans=n+1;
while(low<=high){
int mid=(low+high)/2;
if(a[mid]+num>=reqd){
ans=mid;
high=mid-1;
}
else{
low=mid+1;
}
}
return ans;
}}
~~~~~



