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 <iostream>
#define MAXN 2000000
int m, n;
int first[MAXN];
int other[MAXN];
int seq[MAXN];
long long dp[2][MAXN];
int min, max;
int a, b;
void add(int x)
{
min = std::min(x, min);
max = std::max(x, max);
}
void solve(int l, int r)
{
int m = (l+r)/2;
a = m;
b = m+1;
min = a;
max = b;
add(other[seq[a]]);
add(other[seq[b]]);
while(true)
{
if(a > min)
{
if(a == l)
break;
a--;
add(other[seq[a]]);
}
else if(b < max)
{
if(b == r)
break;
b++;
add(other[seq[b]]);
}
else
{
first[a] = std::min(first[a], b);
if(a == l)
break;
a--;
add(other[seq[a]]);
}
}
}
int main()
{
std::ios::sync_with_stdio(false);
std::cin.tie(0);
std::cin >> m;
n = (1 << m);
for(int i = 0; i < n; i++)
{
std::cin >> seq[i];
first[i] = MAXN;
other[seq[i]^(n-1)] = i;
}
if(m == 1)
{
std::cout << 2 << std::endl;
return 0;
}
int c = 2;
while(c <= n)
{
for(int i = 0; i < n; i+=c)
solve(i, i+c-1);
c *= 2;
}
long long answer = n;
answer *= (answer-1);
answer /= 2;
answer += (long long) n;
dp[0][n] = dp[1][n] = 0;
for(int i = n-1; i >= 0; i--)
{
dp[0][i] = dp[1][i] = 0;
if(first[i] == MAXN)
continue;
int c = first[i]-i+1;
if(c%4)
{
dp[1][i] = 1;
dp[1][i] += dp[0][first[i]+1];
dp[0][i] += dp[1][first[i]+1];
}
else
{
dp[0][i] = 1;
dp[1][i] += dp[1][first[i]+1];
dp[0][i] += dp[0][first[i]+1];
}
answer -= dp[0][i];
}
std::cout << answer << std::endl;
return 0;
}
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