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Submission #987606

# Submission time Handle Problem Language Result Execution time Memory
987606 2024-05-23T07:06:50 Z Otalp Permutation (APIO22_perm) C++17
100 / 100
 49 ms 856 KB 
#include "perm.h"
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define pb push_back


ll pref[200][200], suf[200][200];
ll a[200100];
ll n;


void calc(){
    for(int x=0; x<=n + 1; x++) pref[0][x] = 1;
    for(int i=1; i<=n; i++){
        for(int x=0; x<=n + 1; x++){
            pref[i][x] = pref[i - 1][x];
            if(a[i] <= x){
                pref[i][x] += pref[i-1][a[i]];
            }
        }
    }
    for(int x=0; x<=n + 1; x++) suf[n + 1][x] = 1;
    for(int i=n; i>=1; i--){
        for(int x=n + 1; x>=0; x--){
            suf[i][x] = suf[i + 1][x];
            if(a[i] >= x){
                suf[i][x] += suf[i + 1][a[i]];    
            }
        }
    }
}

vector<int> construct_permutation(ll k){
    n = 1;
    a[1] = 1;
    calc();
    ll g = pref[n][n];
    while(g != k){
        ll d = 0;
        ll pos, x;
        for(int i=1; i<=n + 1; i++){
            for(int j=1; j<=n+1; j++){
                ll h = pref[i - 1][j - 1] * suf[i][j];
                //cout<<i<<' '<<j<<'\n';
                //cout<<h<<'\n';
                if(h > d and h <= k - g){
                    d = h;
                    x = j;
                    pos = i;
                }
            }
        }
        //cout<<g<<' '<<pos<<' '<<x<<'\n';
        vector<int> q;
        for(int i=1; i<pos; i++){
            q.pb(a[i] + (a[i] >= x));
        }
        q.pb(x);
        for(int i=pos; i<=n; i++){
            q.pb(a[i] + (a[i] >= x));
        }
        n ++;
        for(int i=1; i<=n; i++){
            a[i] = q[i - 1];
        }
        calc();
        g = pref[n][n];
    }
    vector<int> res;
    for(int i=1; i<=n; i++) res.pb(a[i]-1);
    //for(int d: res) cout<<d<<' ';
    //cout<<'\n';
    return res;
}

Compilation message

perm.cpp: In function 'std::vector<int> construct_permutation(long long int)':
perm.cpp:41:12: warning: 'pos' may be used uninitialized in this function [-Wmaybe-uninitialized]
   41 |         ll pos, x;
      |            ^~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct

Subtask #2
90.0 / 90.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 2 ms 344 KB Output is correct
4 Correct 3 ms 348 KB Output is correct
5 Correct 15 ms 600 KB Output is correct
6 Correct 23 ms 604 KB Output is correct
7 Correct 27 ms 856 KB Output is correct
8 Correct 45 ms 604 KB Output is correct
9 Correct 38 ms 600 KB Output is correct
10 Correct 49 ms 716 KB Output is correct
11 Correct 40 ms 604 KB Output is correct
12 Correct 34 ms 688 KB Output is correct
13 Correct 40 ms 600 KB Output is correct