#include "minerals.h"
#include <bits/stdc++.h>
#define all(x) x.begin(), x.end()
using namespace std;
const int MXN = 43043, inf = 1e7;
vector <int> a, b;
static int cnt = 0, n, m;
int lg[MXN << 1], dp[MXN][2], mid[MXN][2];
void rec(int l, int r, int k, vector <int> q) {
if (l == r)
return Answer(a[l], q[0]), void();
int m = l + mid[r - l + 1][k], lk = k, rk = k;
vector <int> lft, rgt;
int lneed = m - l + 1, rneed = r - m;
if (k) {
for (int i = m + 1; i <= r; i++)
cnt = Query(a[i]);
rk ^= 1;
} else {
for (int i = l; i <= m; i++)
cnt = Query(a[i]);
lk ^= 1;
}
for (int j : q) {
if (lft.size() == lneed) {
rgt.push_back(j);
} else if (rgt.size() == rneed) {
lft.push_back(j);
} else {
int tmp = Query(j);
if (tmp == cnt) {
lft.push_back(j);
} else {
rgt.push_back(j);
}
cnt = tmp;
}
}
rec(l, m, lk, lft);
rec(m + 1, r, rk, rgt);
}
void Solve(int N) {
n = N, m = 2 * n;
lg[0] = -1;
for (int i = 1; i <= m; i++)
lg[i] = lg[i >> 1] + 1;
for (int i = 1; i <= m; i++) {
int tmp = Query(i);
if (tmp != cnt)
a.push_back(i);
else
b.push_back(i);
cnt = tmp;
}
for (int i = 2; i <= n; i++) {
dp[i][0] = dp[i][1] = inf;
int md = i >> 1;
int tl = max(0, md - 3000);
int tr = min(i - 2, md + 3000);
for (int j = tl; j <= tr; j++) {
if (dp[i][1] > dp[j + 1][1] + dp[i - j - 1][0] + i - j - 1) {
dp[i][1] = dp[j + 1][1] + dp[i - j - 1][0] + i - j - 1;
mid[i][1] = j;
}
}
dp[i][1] += i - 1;
for (int j = tl; j <= tr; j++) {
if (dp[i][0] > dp[j + 1][1] + dp[i - j - 1][0] + j + 1) {
dp[i][0] = dp[j + 1][1] + dp[i - j - 1][0] + j + 1;
mid[i][0] = j;
}
}
dp[i][0] += i - 1;
}
// cout << dp[n][0] << ' ' << mid[n][0] << '\n';
rec(0, n - 1, 1, b);
}
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