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Submission #837859

# Submission time Handle Problem Language Result Execution time Memory
837859 2023-08-25T18:57:26 Z fatemetmhr Rarest Insects (IOI22_insects) C++17
60.31 / 100
 84 ms 1048 KB 
// Be name khoda //

#include "insects.h"
#include <bits/stdc++.h>

using namespace std;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

#define debug(x) cerr << "(" << (#x) << "): " << (x) << endl;
#define all(x)   x.begin(), x.end()
#define pb       push_back
#define mp       make_pair
#define fi       first
#define se       second

typedef long long ll;

const int mod   = 1e9 + 9;
const int maxn5 = 1e5 + 10;

int dif, n, pw[maxn5], per[maxn5], hsh = 0;
bool mark[maxn5];
vector <int> av;
map <int, int> asked;


void fix(int &a){
    if(a < 0)
        a += mod;
    if(a >= mod)
        a -= mod;
}

void mmove_outside(int x){
    x = per[x];
    move_outside(x);
    fix(hsh -= pw[x]);
}

void mmove_inside(int x){
    x = per[x];
    move_inside(x);
    fix(hsh += pw[x]);
}

int ppress_button(){
    if(asked.find(hsh) == asked.end())
        asked[hsh] = press_button();
    return asked[hsh];
}

int find_all_same(int id){
    mark[id] = true;
    mmove_inside(id);
    int cnt = 1;
    for(int i = 0; i < n; i++) if(!mark[i]){
        mmove_inside(i);
        if(ppress_button() == 2){
            mark[i] = true;
            cnt++;
        }
        mmove_outside(i);
    }
    mmove_outside(id);
    return cnt;
}

int count_dif(){
    av.clear();
    hsh = 0;
    for(int i = 0; i < n; i++){
        mmove_inside(i);
        av.pb(i);
        if(ppress_button() == 2){
            mmove_outside(i);
            av.pop_back();
        }
    }
    for(auto u : av)
        mmove_outside(u);
    return av.size();
}

bool check(int x){
    av.clear();
    hsh = 0;
    for(int i = 0; i < n; i++){
        av.pb(i);
        mmove_inside(i);
        if(i + 1 > x && ppress_button() > x){
            mmove_outside(i);
            av.pop_back();
        }
        if(int(av.size()) == x * dif)
            break;
        if(int(av.size()) + n - i - 1 < x * dif)
            break;
    }
    for(auto u : av)
        mmove_outside(u);
    return int(av.size()) == x * dif;
}

int min_cardinality(int N) {
    n = N;
    pw[0] = 1;
    for(int i = 0; i < n; i++){
        per[i] = i;
        if(i)
            pw[i] = pw[i - 1] * 7ll % mod;
    }
    shuffle(per, per + n, rng);
    dif = count_dif();
    if(dif == 1)
        return n;
    if(dif <= 8){
        int mn = n;
        for(int i = 0; i < n; i++) if(!mark[i]){
            mn = min(mn, find_all_same(i));
            if(mn == 1)
                return 1;
        }
        return mn;
    }
    int lo = 1, hi = n / dif + 1;
    while(hi - lo > 1){
        int mid = (lo + hi) >> 1;
        if(check(mid))
            lo = mid;
        else
            hi = mid;
    }
    return lo;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 0 ms 208 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 0 ms 208 KB Output is correct
6 Correct 2 ms 208 KB Output is correct
7 Correct 2 ms 208 KB Output is correct
8 Correct 4 ms 336 KB Output is correct
9 Correct 5 ms 336 KB Output is correct
10 Correct 3 ms 208 KB Output is correct
11 Correct 2 ms 208 KB Output is correct
12 Correct 7 ms 336 KB Output is correct
13 Correct 5 ms 336 KB Output is correct
14 Correct 5 ms 336 KB Output is correct
15 Correct 10 ms 336 KB Output is correct
16 Correct 8 ms 336 KB Output is correct
17 Correct 4 ms 340 KB Output is correct
18 Correct 5 ms 336 KB Output is correct
19 Correct 4 ms 336 KB Output is correct
20 Correct 3 ms 336 KB Output is correct
21 Correct 3 ms 332 KB Output is correct
22 Correct 2 ms 208 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 0 ms 208 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 0 ms 208 KB Output is correct
6 Correct 2 ms 208 KB Output is correct
7 Correct 2 ms 208 KB Output is correct
8 Correct 4 ms 336 KB Output is correct
9 Correct 5 ms 336 KB Output is correct
10 Correct 3 ms 208 KB Output is correct
11 Correct 2 ms 208 KB Output is correct
12 Correct 7 ms 336 KB Output is correct
13 Correct 5 ms 336 KB Output is correct
14 Correct 5 ms 336 KB Output is correct
15 Correct 10 ms 336 KB Output is correct
16 Correct 8 ms 336 KB Output is correct
17 Correct 4 ms 340 KB Output is correct
18 Correct 5 ms 336 KB Output is correct
19 Correct 4 ms 336 KB Output is correct
20 Correct 3 ms 336 KB Output is correct
21 Correct 3 ms 332 KB Output is correct
22 Correct 2 ms 208 KB Output is correct
23 Correct 6 ms 336 KB Output is correct
24 Correct 7 ms 336 KB Output is correct
25 Correct 22 ms 616 KB Output is correct
26 Correct 31 ms 452 KB Output is correct
27 Correct 11 ms 336 KB Output is correct
28 Correct 6 ms 336 KB Output is correct
29 Correct 18 ms 404 KB Output is correct
30 Correct 35 ms 520 KB Output is correct
31 Correct 26 ms 460 KB Output is correct
32 Correct 35 ms 640 KB Output is correct
33 Correct 32 ms 516 KB Output is correct
34 Correct 23 ms 440 KB Output is correct
35 Correct 25 ms 384 KB Output is correct
36 Correct 37 ms 492 KB Output is correct
37 Correct 23 ms 472 KB Output is correct
38 Correct 21 ms 608 KB Output is correct
39 Correct 24 ms 464 KB Output is correct
40 Correct 11 ms 336 KB Output is correct
41 Correct 6 ms 356 KB Output is correct

Subtask #3
35.31 / 75.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 1 ms 208 KB Output is correct
3 Correct 1 ms 208 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 0 ms 208 KB Output is correct
6 Correct 0 ms 208 KB Output is correct
7 Correct 16 ms 372 KB Output is correct
8 Correct 13 ms 336 KB Output is correct
9 Partially correct 41 ms 560 KB Output is partially correct
10 Partially correct 73 ms 716 KB Output is partially correct
11 Correct 19 ms 392 KB Output is correct
12 Correct 13 ms 348 KB Output is correct
13 Partially correct 32 ms 600 KB Output is partially correct
14 Partially correct 84 ms 784 KB Output is partially correct
15 Partially correct 55 ms 584 KB Output is partially correct
16 Partially correct 75 ms 772 KB Output is partially correct
17 Partially correct 50 ms 564 KB Output is partially correct
18 Partially correct 48 ms 580 KB Output is partially correct
19 Partially correct 37 ms 660 KB Output is partially correct
20 Partially correct 71 ms 768 KB Output is partially correct
21 Partially correct 59 ms 692 KB Output is partially correct
22 Partially correct 66 ms 700 KB Output is partially correct
23 Partially correct 49 ms 584 KB Output is partially correct
24 Correct 34 ms 564 KB Output is correct
25 Correct 23 ms 452 KB Output is correct
26 Correct 12 ms 336 KB Output is correct
27 Partially correct 48 ms 564 KB Output is partially correct
28 Partially correct 37 ms 580 KB Output is partially correct
29 Partially correct 37 ms 564 KB Output is partially correct
30 Partially correct 42 ms 576 KB Output is partially correct
31 Partially correct 52 ms 1048 KB Output is partially correct
32 Partially correct 58 ms 796 KB Output is partially correct
33 Partially correct 50 ms 720 KB Output is partially correct
34 Partially correct 56 ms 736 KB Output is partially correct
35 Partially correct 30 ms 624 KB Output is partially correct
36 Partially correct 54 ms 724 KB Output is partially correct
37 Partially correct 55 ms 628 KB Output is partially correct
38 Partially correct 52 ms 700 KB Output is partially correct
39 Partially correct 48 ms 560 KB Output is partially correct
40 Partially correct 44 ms 604 KB Output is partially correct
41 Partially correct 37 ms 588 KB Output is partially correct
42 Partially correct 37 ms 624 KB Output is partially correct
43 Correct 10 ms 484 KB Output is correct
44 Correct 25 ms 456 KB Output is correct
45 Correct 37 ms 460 KB Output is correct
46 Correct 13 ms 464 KB Output is correct
47 Correct 13 ms 416 KB Output is correct
48 Correct 15 ms 584 KB Output is correct