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 all(v) v.begin(), v.end()
typedef long long ll;
const int NMAX = 1e6 + 5;
const int base = 1 << 20;
int n, a[NMAX], lc[NMAX], rc[NMAX], w[NMAX], t;
int seg[1 << 21];
vector<int> adj[NMAX];
ll ans;
void dfs(int x){
cin >> a[x];
if(a[x]) w[x] = 1;
else{
lc[x] = ++t; dfs(lc[x]);
rc[x] = ++t; dfs(rc[x]);
if(w[lc[x]] > w[rc[x]]) swap(lc[x], rc[x]);
w[x] = w[lc[x]] + w[rc[x]];
}
return;
}
void upd(int idx, int v){
idx += base;
while(idx){
seg[idx] += v; idx /= 2;
}
return;
}
ll sum(int l, int r){
ll ret = 0;
l += base; r += base;
while(l <= r){
if(l & 1) ret += seg[l++];
if(!(r & 1)) ret += seg[r--];
l /= 2; r /= 2;
}
return ret;
}
void f(int x, int v){
if(a[x]){
upd(a[x], v); return;
}
f(lc[x], v);
f(rc[x], v);
return;
}
ll cal(int x){
if(a[x]) return sum(a[x] + 1, base - 1);
ll ret = cal(lc[x]);
ret += cal(rc[x]);
return ret;
}
void dfs2(int x){
if(a[x]) {
upd(a[x], 1);
return;
}
ll v = 0;
dfs2(lc[x]);
f(lc[x], -1);
dfs2(rc[x]);
v += cal(lc[x]);
f(lc[x], 1);
ans += min(v, w[lc[x]] * w[rc[x]] - v);
return;
}
int main(void){
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n;
dfs(++t);
dfs2(1);
cout << ans;
return 0;
}
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