/*************************************
* author: marvinthang *
* created: 20.04.2023 09:23:44 *
*************************************/
#include <bits/stdc++.h>
#include "perm.h"
using namespace std;
#define fi first
#define se second
#define left ___left
#define right ___right
#define TIME (1.0 * clock() / CLOCKS_PER_SEC)
#define MASK(i) (1LL << (i))
#define BIT(x, i) ((x) >> (i) & 1)
#define __builtin_popcount __builtin_popcountll
#define ALL(v) (v).begin(), (v).end()
#define REP(i, n) for (int i = 0, _n = (n); i < _n; ++i)
#define REPD(i, n) for (int i = (n); i--; )
#define FOR(i, a, b) for (int i = (a), _b = (b); i < _b; ++i)
#define FORD(i, b, a) for (int i = (b), _a = (a); --i >= _a; )
#define FORE(i, a, b) for (int i = (a), _b = (b); i <= _b; ++i)
#define FORDE(i, b, a) for (int i = (b), _a = (a); i >= _a; --i)
#define scan_op(...) istream & operator >> (istream &in, __VA_ARGS__ &u)
#define print_op(...) ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
#include "debug.h"
#else
#define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
#define DB(...) 23
#define db(...) 23
#define debug(...) 23
#endif
template <class U, class V> scan_op(pair <U, V>) { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>) { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>) { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")"; else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }
// end of template
vector<int> construct_permutation(long long k) {
vector <int> left, right;
int cur = 0;
int l = __lg(k);
vector <int> pos;
int rem = __builtin_popcount(k) - 1;
REP(i, l) {
if (BIT(k, i)) {
if (rem > 3 && i + 1 < l && BIT(k, i + 1)) {
rem -= 2;
pos.push_back(right.size());
right.push_back(cur++);
left.push_back(cur++);
++i;
} else {
right.push_back(cur++);
--rem;
}
}
left.push_back(cur++);
}
reverse(ALL(pos));
reverse(ALL(right));
for (int x: pos) {
x = (int) right.size() - x - 1;
rotate(right.begin() + x - 2, right.begin() + x, right.begin() + x + 1);
}
vector <int> res(left);
res.insert(res.end(), ALL(right));
return res;
}
#ifdef LOCAL
#include "perm.h"
#include <cstdio>
#include <vector>
#include <cassert>
#include <algorithm>
#include <stdlib.h>
using namespace std;
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() {
file("perm");
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;
}
#endif
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
300 KB |
Output is correct |
| 2 |
Correct |
1 ms |
212 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
300 KB |
Output is correct |
| 2 |
Correct |
1 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
300 KB |
Output is correct |
| 4 |
Correct |
1 ms |
304 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
340 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
2 ms |
340 KB |
Output is correct |
| 9 |
Correct |
1 ms |
340 KB |
Output is correct |
| 10 |
Correct |
2 ms |
300 KB |
Output is correct |
| 11 |
Correct |
2 ms |
340 KB |
Output is correct |
| 12 |
Correct |
2 ms |
340 KB |
Output is correct |
| 13 |
Correct |
1 ms |
340 KB |
Output is correct |
