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("Ofast")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,tune=native")
//#pragma GCC optimize ("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
/** Interface */
inline int readChar();
template <class T = int> inline T readInt();
template <class T> inline void writeInt( T x, char end = 0 );
inline void writeChar( int x );
inline void writeWord( const char *s );
/** Read */
static const int buf_size = 4096;
inline int getChar() {
static char buf[buf_size];
static int len = 0, pos = 0;
if (pos == len)
pos = 0, len = fread(buf, 1, buf_size, stdin);
if (pos == len)
return -1;
return buf[pos++];
}
inline int readChar() {
int c = getChar();
while (c <= 32)
c = getChar();
return c;
}
template <class T>
inline T readInt() {
int s = 1, c = readChar();
T x = 0;
if (c == '-')
s = -1, c = getChar();
while ('0' <= c && c <= '9')
x = x * 10 + c - '0', c = getChar();
return s == 1 ? x : -x;
}
/** Write */
static int write_pos = 0;
static char write_buf[buf_size];
inline void writeChar( int x ) {
if (write_pos == buf_size)
fwrite(write_buf, 1, buf_size, stdout), write_pos = 0;
write_buf[write_pos++] = x;
}
template <class T>
inline void writeInt( T x, char end ) {
if (x < 0)
writeChar('-'), x = -x;
char s[24];
int n = 0;
while (x || !n)
s[n++] = '0' + x % 10, x /= 10;
while (n--)
writeChar(s[n]);
if (end)
writeChar(end);
}
inline void writeWord( const char *s ) {
while (*s)
writeChar(*s++);
}
struct Flusher {
~Flusher() {
if (write_pos)
fwrite(write_buf, 1, write_pos, stdout), write_pos = 0;
}
} flusher;
using ll = long long;
using ld = long double;
const int M = 30;
const int N = 1e6;
int a[N];
int k[2];
int y[2][N];
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
int n = readInt();
for (int i = 0; i < n; i++) {
a[i] = readInt();
}
int ans = 0;
int pw = 1;
for (int b = 0; b < M; b++) {
int q = (pw << 1) - 1;
int kek = 0;
k[0] = k[1] = 0;
for (int i = 0; i < n; i++) {
y[(a[i] >> b) & 1][k[(a[i] >> b) & 1]++] = a[i];
}
int p = 0;
for (int i = 0; i < 2; i++) {
memcpy(a + p, y[i], sizeof(int) * k[i]);
p += k[i];
}
int it1 = n - 1;
int it2 = n - 1;
int it3 = n - 1;
for (int i = 0; i < n; i++) {
int t = a[i] & q;
while (it1 >= 0 && (a[it1] & q) >= pw - t) {
it1--;
}
while (it2 >= 0 && (a[it2] & q) > q - t) {
it2--;
}
while (it3 >= 0 && (a[it3] & q) >= 3 * pw - t) {
it3--;
}
(kek += max(0, min(it2, i) - it1)) &= 1;
if (t & pw) {
(kek += max(0, i - it3)) &= 1;
}
}
if (kek) {
ans += pw;
}
pw <<= 1;
}
writeInt(ans);
return 0;
}
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