제출 #1271643

#제출 시각아이디문제언어결과실행 시간메모리
1271643meisgood순열 (APIO22_perm)C++20
91.33 / 100
1 ms328 KiB
#include <bits/stdc++.h>
using namespace std ;
#define ll long long
// #define test
#ifndef test
#include "perm.h"

#endif
////////////////////////////////////////////////////////////////////////

std::vector<int> construct_permutation(long long K)
{
  ll i,j ;
  ll k=K ;
  vector <ll> v ;
  vector <int> ans ;
  for (i = 60 ; i >= 0 ; i --){
    if (k-(1ll<<i)>=0) k-=(1ll<<i),v.push_back(i) ;
  }
  reverse(v.begin(),v.end()) ;
  // v[v.size()-1]-- ;
  ll cnt=0 ;
  ll cnt2=-1 ;
  for (i = 0 ; i < (int)v.size()-1 ; i ++){
    for (j = (i==0?0:v[i-1]) ; j < v[i] ; j ++) cnt2++ ;
    if (i!=(int)v.size()-1){
      cnt2++ ;
    }
    // else cnt2++ ;
  }
    for (j = (i==0?0:v[i-1]) ; j < v[i] ; j ++) cnt2++ ;
  for (i = 0 ; i < (int)v.size()-1 ; i ++){
    for (j = (i==0?0:v[i-1]) ; j < v[i] ; j ++) ans.push_back(cnt++) ;
    if (i!=(int)v.size()-1){
      ans.push_back(cnt2--) ;
    }
    // else ans.push_back(cnt++) ;
  }
  for (j = (i==0?0:v[i-1]) ; j < v[i] ; j ++) ans.push_back(cnt++) ;
  // ans.push_back(cnt2--) ;
  // for (auto x : ans) cout << x << " " ; cout << endl ;
	return ans;
}
////////////////////////////////////////////////////////////////////////
#ifdef test
//grader{
#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() {
	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;
}

//grader}
#endif
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