Submission #1271643

#TimeUsernameProblemLanguageResultExecution timeMemory
1271643meisgoodPermutation (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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