This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize "-O3"
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#define two pair<int,int>
#define pb push_back
#define f first
#define s second
#define sz(container) (int)(container.size())
using namespace std;
inline int bin(){
int x=0;char ch=getchar();
while (ch<'0'||ch>'9') ch=getchar();
while (ch>='0'&&ch<='9') x=(x<<3)+(x<<1)+ch-'0',ch=getchar();
return x;
}
const int M=29;
two a[1000004],b[1000004];
two v0[1000004],v1[1000004];
two v[1000004];
int c[39],ans,n,d[39];
inline void work(int x,int y,int &k,int &K){
int l=-1,r=-1;
for(int o=n-1;o>=0;o--){
while(l+1<n&&b[l+1].f+b[o].f<x) l++;
while(r+1<n&&b[r+1].f+b[o].f<=y) r++;
if(o>l&&o<=r) K++;
if(l<=r)
k+=(r-l);
}
}
int main(){
for(int i=1;i<=M;i++){
c[i]=(1<<(i+1))-1;
d[i]=(1<<(i));
}
n=bin();
for(int i=0;i<n;i++){
a[i].f=bin();
a[i].s=i;
}
for(int i=1;i<=M;i++){
if(i==1){
for(int j=0;j<n;j++){
b[j].f=c[i]&a[j].f;
b[j].s=a[j].s;
}
sort(b,b+n);
}else{
for(int j=0;j<n;j++){
b[j].f=b[j].f&c[i];
}
int V1=0,V0=0;
for(int j=0;j<n;j++){
if(d[i]&b[j].f){
v1[V1]=b[j];
V1++;
}else{
v0[V0]=b[j];
V0++;
}
}
for(int j=0;j<V0;j++){
v[j]=v0[j];
}
for(int j=0;j<V1;j++){
v[j+V0]=v1[j];
}
for(int j=0;j<n;j++){
b[j]=v[j];
}
}
int b1=(1<<(i));
int b2=((1<<(i+1))-1);
int B1=b1+(1<<(i+1));
int B2=((1<<(i+2))-2);
int k=0,K=0;
work(b1,b2,k,K);
work(B1,B2,k,K);
k-=K;
k/=2;
k+=K;
if(k&1){
ans|=(1<<(i));
}
for(int j=0;j<n;j++){
b[j].f=a[b[j].s].f;
}
}
int k=0;
for(int i=0;i<n;i++){
if(a[i].f&1) k++;
}
if((k*(n-k))&1){
ans++;
}
cout<<ans<<endl;
}
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