Submission #727098

#	Time	Username	Problem	Language	Result	Execution time	Memory
727098		marvinthang	Permutation (APIO22_perm)	C++17	100 / 100	2 ms	340 KiB

perm

/*************************************
*    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

• Subtask 1: 10 / 10
• Subtask 2: 90 / 90