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;
typedef pair<int, int> ii;
struct segtree{
vector<ii> t;
vector<int> lazy;
int sz, M;
ii merge(ii a, ii b){
if(a.first > b.first) swap(a, b);
if(a.second == 0) swap(a, b);
if(a.first == b.first) return {a.first, a.second + b.second};
else return a;
}
segtree(){}
segtree(int mod, int size){
sz = size;
M = mod;
t = vector<ii>(size*2);
lazy = vector<int>(size*2, 0);
build(1, 0, sz-1);
}
void build(int i, int s, int e){
if(s == e){
t[i] = {0, ((s%4) == M)?1:0};
return;
}
int m = (s + e)/2;
build(i*2, s, m); build(i*2+1, m+1, e);
t[i].second = t[i*2].second + t[i*2+1].second;
}
void prop(int i, int s, int e){
if(s != e){
lazy[i*2] += lazy[i];
lazy[i*2+1] += lazy[i];
}
t[i].first += lazy[i];
lazy[i] = 0;
}
void upd(int i, int s, int e, int l, int r, int v){
//cout<<"UDPING "<<i<<" "<<s<<" "<<e<<endl;
prop(i, s, e);
if(l <= s && e <= r){
lazy[i] += v;
prop(i, s, e);
return;
}
if(s > r || e < l || s > e) return;
int m = (s + e)/2;
upd(i*2, s, m, l, r, v); upd(i*2+1, m+1, e, l, r, v);
t[i] = merge(t[i*2], t[i*2+1]);
}
int query(int i, int s, int e, int l, int r){
//cout<<"QUERY "<<i<<" "<<s<<" "<<e<<endl;
prop(i, s, e);
if(l <= s && e <= r) return (t[i].first == 0?t[i].second:0);
if(s > r || e < l || s > e) return 0;
int m = (s + e)/2;
return query(i*2, s, m, l, r) + query(i*2+1, m+1, e, l, r);
}
void print(int i, int s, int e){
prop(i, s, e);
//cout<<"S: "<<M<<" "<<i<<" "<<s<<" , "<<e<<" "<<t[i].first<<" "<<t[i].second<<endl;
if(s == e){
return;
}
int m = (s + e)/2;
print(i*2, s, m);
print(i*2+1, m+1, e);
}
};
signed main(){
ios::sync_with_stdio(false); cin.tie(0);
int m, n; cin>>m; n = (1<<m);
int F = n - 1;
if(m == 1){
cout<<2<<endl;
return 0;
}
vector<int> a(n), f(n);
for(int i = 0; i < n; i++){
cin>>a[i];
f[a[i]] = i;
}
vector<segtree> s(4);
for(int i = 0; i < 4; i++) s[i] = segtree(i, n);
long long ans = 0;
s[0].print(1, 0, n-1);
for(int i = 0; i < n; i++){
int next = f[a[i]^F];
//ans += s[(i+1)%4].query(1, 0, n-1, 0, i-1);
if(next < i){ //exit
//cerr<<"EXIT "<<next<<" "<<i<<endl;
for(int j = 0; j < 4; j++) s[j].upd(1, 0, n-1, 0, next, -1);
for(int j = 0; j < 4; j++) s[j].upd(1, 0, n-1, next+1, i, 1);
int temp = s[(i+1)%4].query(1, 0, n-1, 0, i);
//cout<<"ADDING "<<i<<" "<<temp<<endl;
ans += temp;
}else{ //enter
//cerr<<"ENTER "<<i<<" "<<next<<endl;
for(int j = 0; j < 4; j++) s[j].upd(1, 0, n-1, 0, i, 1);
// cout<<"AFTER UPD: "<<s[0].lazy[9]<<endl;
//ans += s[(i+1)%4].query(1, 0, n-1, 0, i);
}
s[0].print(1, 0, n-1);
}
// for(int i = 0; i < 4; i++) s[i].print(1, 0, n-1);
//cout<<"BAD: "<<ans<<endl;
ans = (1LL*n*(n+1))/2 - ans;
cout<<ans<<endl;
}
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