Submission #737036

#TimeUsernameProblemLanguageResultExecution timeMemory
737036becaidoPermutation (APIO22_perm)C++17
71.22 / 100
14 ms1364 KiB
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx,popcnt,sse4,abm")
#include <bits/stdc++.h>
using namespace std;

#ifndef WAIMAI
#include "perm.h"
#endif

#ifdef WAIMAI
#define debug(HEHE...) cout << "[" << #HEHE << "] : ", dout(HEHE)
void dout() {cout << '\n';}
template<typename T, typename...U>
void dout(T t, U...u) {cout << t << (sizeof...(u) ? ", " : ""), dout(u...);}
#else
#define debug(...) 7122
#endif

#define ll long long
#define Waimai ios::sync_with_stdio(false), cin.tie(0)
#define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
#define pb emplace_back
#define F first
#define S second

ll val[63];

vector<int> construct_permutation(ll k) {
	k--;
	FOR (i, 0, 62) val[i] = (1ll << i) - 1;
	vector<int> ans;
	int last = -1;
	for (int i = 62; k > 0;) {
        if (val[i] > k) {
            i--;
            continue;
        }
        k -= val[i];
        int s = last + 1;
        vector<int> v;
        FOR (j, s, s + i - 1) v.pb(j);
        reverse(v.begin(), v.end());
        ans.insert(ans.end(), v.begin(), v.end());
        last = s + i - 1;
	}
	reverse(ans.begin(), ans.end());
    return ans;
}

#ifdef WAIMAI
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;
}
#endif
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