| # | Time | Username | Problem | Language | Result | Execution time | Memory |
|---|---|---|---|---|---|---|---|
| 959326 | zeta7532 | Permutation (APIO22_perm) | C++17 | 0 ms | 0 KiB |
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"
#include <bits/stdc++.h>
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
using namespace std;
using ll = long long;
const ll mod = 998244353;
#define fi first
#define se second
#define rep(i,n) for(ll i=0;i<n;i++)
#define all(x) x.begin(),x.end()
#define faster ios::sync_with_stdio(false);cin.tie(nullptr)
std::vector<int> construct_permutation(long long k)
{
if(k==2) return {0};
if(k%2==0){
vector<int> A=construct_permutation(k/2);
A.push_back(A.size());
return A;
}
if(k%2==1){
vector<int> A=construct_permutation(k-1);
rep(i,A.size()) A[i]++;
A.push_back(0);
return A;
}
}
static long long MX=1e18;
static bool check_permutation(vector<int> v)
{
sort(v.begin(),v.end());
for(int i=0;i<v.size();i++)
if(v[i]!=i) return 0;
return 1;
}
long long count_increasing(const vector<int>& v) {
vector<long long> dp(v.size() + 1, 0);
dp[0] = 1;
for (int x : v)
{
for (int i = 0; i <= x; i++)
{
dp[x+1] += dp[i];
dp[x+1] = min(dp[x+1],MX+1);
}
}
long long result = 0;
for (int i = 0; i <= (int)v.size(); i++){
result += dp[i];
result = min(result,MX+1);
}
return result;
}
int main() {
int t;
assert(1 == scanf("%d", &t));
while(t--)
{
long long k;
assert(1 == scanf("%lld",&k));
vector<int> ret=construct_permutation(k);
if(!check_permutation(ret))
{
printf("WA: Returned array is not a permutation\n");
exit(0);
}
long long inc=count_increasing(ret);
if(inc!=k)
{
if(inc==MX+1)
printf("WA: Expected %lld increasing subsequences, found more than %lld\n",k, MX);
else
printf("WA: Expected %lld increasing subsequences, found %lld\n",k,inc);
exit(0);
}
printf("%d\n",(int)ret.size());
for(int i=0;i<ret.size();i++)
{
printf("%d",ret[i]);
if(i+1==ret.size())
printf("\n");
else
printf(" ");
}
}
return 0;
}