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Submission #837860

# Submission time Handle Problem Language Result Execution time Memory
837860 2023-08-25T18:58:13 Z fatemetmhr Rarest Insects (IOI22_insects) C++17
60.35 / 100
 78 ms 844 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 1 ms 208 KB Output is correct
2 Correct 0 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 1 ms 260 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 4 ms 344 KB Output is correct
10 Correct 2 ms 208 KB Output is correct
11 Correct 2 ms 208 KB Output is correct
12 Correct 5 ms 336 KB Output is correct
13 Correct 6 ms 460 KB Output is correct
14 Correct 6 ms 336 KB Output is correct
15 Correct 8 ms 336 KB Output is correct
16 Correct 6 ms 344 KB Output is correct
17 Correct 4 ms 336 KB Output is correct
18 Correct 6 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 336 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 1 ms 208 KB Output is correct
2 Correct 0 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 1 ms 260 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 4 ms 344 KB Output is correct
10 Correct 2 ms 208 KB Output is correct
11 Correct 2 ms 208 KB Output is correct
12 Correct 5 ms 336 KB Output is correct
13 Correct 6 ms 460 KB Output is correct
14 Correct 6 ms 336 KB Output is correct
15 Correct 8 ms 336 KB Output is correct
16 Correct 6 ms 344 KB Output is correct
17 Correct 4 ms 336 KB Output is correct
18 Correct 6 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 336 KB Output is correct
22 Correct 2 ms 208 KB Output is correct
23 Correct 5 ms 336 KB Output is correct
24 Correct 8 ms 344 KB Output is correct
25 Correct 20 ms 432 KB Output is correct
26 Correct 28 ms 452 KB Output is correct
27 Correct 8 ms 368 KB Output is correct
28 Correct 8 ms 336 KB Output is correct
29 Correct 27 ms 412 KB Output is correct
30 Correct 31 ms 680 KB Output is correct
31 Correct 28 ms 484 KB Output is correct
32 Correct 42 ms 484 KB Output is correct
33 Correct 35 ms 508 KB Output is correct
34 Correct 25 ms 452 KB Output is correct
35 Correct 24 ms 444 KB Output is correct
36 Correct 33 ms 448 KB Output is correct
37 Correct 27 ms 396 KB Output is correct
38 Correct 27 ms 464 KB Output is correct
39 Correct 20 ms 460 KB Output is correct
40 Correct 12 ms 336 KB Output is correct
41 Correct 11 ms 336 KB Output is correct

Subtask #3
35.35 / 75.0

# 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 0 ms 208 KB Output is correct
7 Correct 13 ms 480 KB Output is correct
8 Correct 13 ms 400 KB Output is correct
9 Partially correct 40 ms 604 KB Output is partially correct
10 Partially correct 59 ms 708 KB Output is partially correct
11 Correct 17 ms 404 KB Output is correct
12 Correct 14 ms 336 KB Output is correct
13 Partially correct 50 ms 632 KB Output is partially correct
14 Partially correct 65 ms 844 KB Output is partially correct
15 Partially correct 51 ms 628 KB Output is partially correct
16 Partially correct 78 ms 844 KB Output is partially correct
17 Partially correct 43 ms 596 KB Output is partially correct
18 Partially correct 41 ms 584 KB Output is partially correct
19 Partially correct 56 ms 660 KB Output is partially correct
20 Partially correct 42 ms 628 KB Output is partially correct
21 Partially correct 51 ms 812 KB Output is partially correct
22 Partially correct 70 ms 648 KB Output is partially correct
23 Partially correct 52 ms 676 KB Output is partially correct
24 Correct 38 ms 568 KB Output is correct
25 Correct 24 ms 456 KB Output is correct
26 Correct 14 ms 460 KB Output is correct
27 Partially correct 39 ms 792 KB Output is partially correct
28 Partially correct 41 ms 568 KB Output is partially correct
29 Partially correct 49 ms 564 KB Output is partially correct
30 Partially correct 48 ms 596 KB Output is partially correct
31 Partially correct 63 ms 628 KB Output is partially correct
32 Partially correct 45 ms 692 KB Output is partially correct
33 Partially correct 51 ms 644 KB Output is partially correct
34 Partially correct 45 ms 708 KB Output is partially correct
35 Partially correct 32 ms 604 KB Output is partially correct
36 Partially correct 44 ms 648 KB Output is partially correct
37 Partially correct 63 ms 736 KB Output is partially correct
38 Partially correct 64 ms 684 KB Output is partially correct
39 Partially correct 46 ms 556 KB Output is partially correct
40 Partially correct 46 ms 564 KB Output is partially correct
41 Partially correct 52 ms 612 KB Output is partially correct
42 Partially correct 52 ms 620 KB Output is partially correct
43 Correct 14 ms 336 KB Output is correct
44 Correct 28 ms 384 KB Output is correct
45 Correct 28 ms 456 KB Output is correct
46 Correct 19 ms 496 KB Output is correct
47 Correct 14 ms 428 KB Output is correct
48 Correct 13 ms 336 KB Output is correct