이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
const int N = 17;
int n, h[1 << N];
int hcopy[1 << N];
int to[1 << N];
long long res[N];
string str[N];
long long bres[N][2];
vector<int> solve(int dep, int l, int r) {
if (r - l == 1)
return {h[l]};
int mid = (l + r) >> 1;
auto a = solve(dep - 1, l, mid);
auto b = solve(dep - 1, mid, r);
int sza = a.size(), szb = b.size();
int i = 0;
for (int &x : a) {
while (i < szb && b[i] < x)
++i;
bres[dep][0] += i;
}
i = 0;
for (int &x : b) {
while (i < sza && a[i] < x)
++i;
bres[dep][1] += i;
}
vector<int> c;
merge(a.begin(), a.end(), b.begin(), b.end(), back_inserter(c));
return c;
}
int main() {
#ifdef LOCAL
freopen("input.txt", "r", stdin);
#endif
ios::sync_with_stdio(false);
cin.tie(0);
cin >> n;
for (int i = 0; i < (1 << n); ++i)
cin >> h[i];
for (int i = 0; i < (1 << n); ++i)
to[i] = i;
for (int shift = 1; shift <= n; ++shift) {
for (int i = 0; i < (1 << n); ++i)
to[i] = (to[i] >> 1) + (1 << (n - 1)) * (to[i] & 1);
memcpy(hcopy, h, sizeof(h));
for (int i = 0; i < (1 << n); ++i)
h[to[i]] = hcopy[i];
for (int i = 0; i < n; ++i)
bres[i][0] = bres[i][1] = 0;
solve(n - 1, 0, (1 << n));
int xr = 0;
for (int i = 0; i < n; ++i) {
if (bres[i][0] > bres[i][1]) {
xr ^= (1 << i);
res[shift % n] += bres[i][1];
} else
res[shift % n] += bres[i][0];
}
str[shift % n] = "";
for (int i = 0; i < n; ++i) {
int pos = (n - 1 + i) % n;
if ((xr >> pos) & 1)
str[shift % n].push_back('1');
str[shift % n].push_back('2');
}
memcpy(h, hcopy, sizeof(h));
}
int shift = 0;
for (int i = 1; i < n; ++i) {
if (res[i] < res[shift])
shift = i;
}
cout << res[shift] << endl;
for (int i = 0; i < shift; ++i)
cout << 2;
cout << str[shift] << endl;
return 0;
}
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