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 "perm.h"
using namespace std;
#include <iostream>
#include <random>
#include <functional>
using ll = long long;
std::vector<int> construct_permutation(long long k)
{
vector<int>ret = { -1};
vector<ll>dp = {1};
k--;
while (k != 0)
{
vector<int>ret_ = ret;
vector<ll>dp_ = dp;
ll k_ = k;
function<void(int)>dfs = [&](int l)
{
if (k < k_ || (k == k_ && dp.size() < dp_.size()))
{
k_ = k;
dp_ = dp;
ret_ = ret;
}
if (l == 0)
return;
int sz = (int)ret.size();
int gal = 0;
for (int i = sz - 1; i >= 0; i--)
{
ll sum = 0;
for (int j = 0; j < (int)ret.size(); j++)
if (ret[j] < i)
sum += dp[j];
if (sum <= k)
{
gal++;
if (gal >= 3)
break;
k -= sum;
dp.push_back(sum);
for (int &j : ret)
if (j >= i)
j++;
ret.push_back(i);
dfs(l - 1);
k += sum;
dp.pop_back();
ret.pop_back();
for (int &j : ret)
if (j >= i)
j--;
}
}
};
dfs(9);
ret = ret_;
dp = dp_;
k = k_;
}
ret.erase(ret.begin());
return ret;
}
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