This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define sz(x) ((int)x.size())
#define a3 array<int, 3>
#define MP make_pair
using namespace std;
typedef unsigned long long ull;
typedef long long ll;
const int N = (1 << 20);
const int oo = 2e9;
map<pair<ull, int>, int> mem;
ull vl[N], ans = 0;
pair<ull, int> chk;
int m, n, a[N];
mt19937_64 rnd(chrono::system_clock().now().time_since_epoch().count());
void calc(int l, int r){
if (l == r) return;
int md = (l + r) >> 1;
calc(l, md);
calc(md + 1, r);
mem.clear();
ull sum = 0;
int xr = 0;
for (int i = md; i >= l; i--){
sum += vl[a[i]];
xr ^= a[i];
mem[MP(sum, xr)]++;
}
sum = 0;
xr = 0;
for (int i = md + 1; i <= r; i++){
sum += vl[a[i]];
xr ^= a[i];
chk = MP(ull(0) - sum, xr);
if (mem.find(chk) != mem.end())
ans += mem[chk];
}
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0);
#ifdef _LOCAL
freopen("in.txt","r",stdin);
#endif // _LOCAL
cin >> m;
n = (1 << m);
if (m == 1){
cout << 2;
return 0;
}
for (int i = 0; i < n; i++)
cin >> a[i];
for (int i = 0; i < n; i++){
int obr = ((n - 1) ^ i);
if (obr < i) continue;
vl[i] = rnd();
vl[obr] = ull(0) - vl[i];
}
calc(0, n - 1);
cout << ull(n) * (ull(n) + 1) / 2 - ans;
return 0;
}
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