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>
using namespace std;
#define int long long
vector <vector <int> > tree, treecnt, upd;
void push(int ind, int v, int l, int r)
{
tree[ind][v * 2] += upd[ind][v];
tree[ind][v * 2 + 1] += upd[ind][v];
upd[ind][v * 2] += upd[ind][v];
upd[ind][v * 2 + 1] += upd[ind][v];
upd[ind][v] = 0;
}
void update(int ind, int v, int l, int r, int al, int ar, int val)
{
if(l >= al && r <= ar)
{
tree[ind][v] += val;
upd[ind][v] += val;
}
else if(l <= ar && r >= al)
{
push(ind, v, l, r);
update(ind, v * 2, l, (r + l) / 2, al, ar, val);
update(ind, v * 2 + 1, (r + l) / 2 + 1, r, al, ar, val);
if(tree[ind][v * 2] == tree[ind][v * 2 + 1])
{
tree[ind][v] = tree[ind][v * 2];
treecnt[ind][v] = treecnt[ind][v * 2] + treecnt[ind][v * 2 + 1];
}
else if(tree[ind][v * 2] < tree[ind][v * 2 + 1])
{
tree[ind][v] = tree[ind][v * 2];
treecnt[ind][v] = treecnt[ind][v * 2];
}
else
{
tree[ind][v] = tree[ind][v * 2 + 1];
treecnt[ind][v] = treecnt[ind][v * 2 + 1];
}
}
}
pair <int, int> ans(int ind, int v, int l, int r, int al, int ar){
if(l >= al && r <= ar)
{
return {tree[ind][v], treecnt[ind][v]};
}
else if(l <= ar && r >= al)
{
push(ind, v, l ,r);
pair <int, int> v1 = ans(ind, v * 2, l, (r + l) / 2, al, ar);
pair <int, int> v2 = ans(ind, v * 2 + 1, (r + l) / 2 + 1, r, al, ar);
if(v1.first == v2.first)
{
return {v1.first, v1.second + v2.second};
}
else if(v1.first < v2.first){
return v1;
}
else
{
return v2;
}
}
else
{
return {1e9, 0};
}
}
void build(int ind, int v, int l, int r)
{
if(l == r){
treecnt[ind][v] = 1;
if(l % 4 == ind){
tree[ind][v] = 0;
}
else
{
tree[ind][v] = 1e9;
}
return;
}
build(ind, v * 2, l, (r + l) / 2);
build(ind, v * 2 + 1, (r + l) / 2 + 1, r);
tree[ind][v] = min(tree[ind][v * 2], tree[ind][v * 2 + 1]);
if(tree[ind][v * 2] == tree[ind][v * 2 + 1])
{
tree[ind][v] = tree[ind][v * 2];
treecnt[ind][v] = treecnt[ind][v * 2] + treecnt[ind][v * 2 + 1];
}
else if(tree[ind][v * 2] < tree[ind][v * 2 + 1])
{
tree[ind][v] = tree[ind][v * 2];
treecnt[ind][v] = treecnt[ind][v * 2];
}
else
{
tree[ind][v] = tree[ind][v * 2 + 1];
treecnt[ind][v] = treecnt[ind][v * 2 + 1];
}
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
int n;
cin >> n;
int m = pow(2, n);
vector <int> A(m);
vector <int> ind(m, -1);
int w1 = 0, w2 = 0;
for(int i = 0; i < m; i++)
{
cin >> A[i];
ind[A[i]] = i;
w1 = w1 ^ A[i];
w2 = w2 ^ A[i];
}
tree.resize(4, vector <int> (4 * m, 0));
treecnt.resize(4, vector <int> (4 * m, 0));
upd.resize(4, vector <int> (4 * m, 0));
int sum = 0;
for(int i= 0; i < 4; i++)
{
build(i, 1, 0, m - 1);
}
w1 ^= A[0];
w2 ^= A[m - 1];
if(w1 == m - 1)
{
sum++;
}
if(w2 == m - 1)
{
sum++;
}
for(int i = m - 1; i >= 0; i--)
{
if(ind[m - 1 - A[i]] > i)
{
for(int j = 0; j < 4; j++)
{
update(j, 1, 0, m - 1, ind[m - 1 - A[i]], m - 1, -2);
}
}
for(int j = 0; j < 4; j++)
{
update(j, 1, 0, m - 1, i, m - 1, 1);
}
pair <int, int> v = ans((i + 3) % 4, 1, 0, m - 1, i, m - 1);
if(v.first == 0)
{
sum += v.second;
}
}
sum = (m + 1) * m / 2 - sum;
cout << sum;
return 0;
}
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