Submission #837843

# Submission time Handle Problem Language Result Execution time Memory
837843 2023-08-25T18:36:46 Z fatemetmhr Rarest Insects (IOI22_insects) C++17
57.14 / 100
82 ms 860 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(false && int(av.size()) == x * dif)
            break;
        if(false && 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;
}
# 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 0 ms 208 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 1 ms 208 KB Output is correct
6 Correct 3 ms 208 KB Output is correct
7 Correct 2 ms 228 KB Output is correct
8 Correct 6 ms 324 KB Output is correct
9 Correct 5 ms 336 KB Output is correct
10 Correct 4 ms 208 KB Output is correct
11 Correct 1 ms 208 KB Output is correct
12 Correct 6 ms 320 KB Output is correct
13 Correct 7 ms 332 KB Output is correct
14 Correct 7 ms 336 KB Output is correct
15 Correct 10 ms 336 KB Output is correct
16 Correct 7 ms 336 KB Output is correct
17 Correct 6 ms 336 KB Output is correct
18 Correct 5 ms 328 KB Output is correct
19 Correct 7 ms 336 KB Output is correct
20 Correct 5 ms 336 KB Output is correct
21 Correct 4 ms 208 KB Output is correct
22 Correct 2 ms 208 KB Output is correct
# 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 0 ms 208 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 1 ms 208 KB Output is correct
6 Correct 3 ms 208 KB Output is correct
7 Correct 2 ms 228 KB Output is correct
8 Correct 6 ms 324 KB Output is correct
9 Correct 5 ms 336 KB Output is correct
10 Correct 4 ms 208 KB Output is correct
11 Correct 1 ms 208 KB Output is correct
12 Correct 6 ms 320 KB Output is correct
13 Correct 7 ms 332 KB Output is correct
14 Correct 7 ms 336 KB Output is correct
15 Correct 10 ms 336 KB Output is correct
16 Correct 7 ms 336 KB Output is correct
17 Correct 6 ms 336 KB Output is correct
18 Correct 5 ms 328 KB Output is correct
19 Correct 7 ms 336 KB Output is correct
20 Correct 5 ms 336 KB Output is correct
21 Correct 4 ms 208 KB Output is correct
22 Correct 2 ms 208 KB Output is correct
23 Correct 9 ms 360 KB Output is correct
24 Correct 9 ms 348 KB Output is correct
25 Correct 24 ms 436 KB Output is correct
26 Correct 46 ms 452 KB Output is correct
27 Correct 6 ms 344 KB Output is correct
28 Correct 12 ms 336 KB Output is correct
29 Correct 35 ms 424 KB Output is correct
30 Correct 49 ms 524 KB Output is correct
31 Correct 36 ms 432 KB Output is correct
32 Correct 50 ms 548 KB Output is correct
33 Correct 43 ms 508 KB Output is correct
34 Correct 35 ms 448 KB Output is correct
35 Correct 26 ms 484 KB Output is correct
36 Correct 36 ms 496 KB Output is correct
37 Correct 30 ms 444 KB Output is correct
38 Correct 27 ms 460 KB Output is correct
39 Correct 17 ms 412 KB Output is correct
40 Correct 18 ms 396 KB Output is correct
41 Correct 6 ms 336 KB Output is correct
# 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 0 ms 208 KB Output is correct
6 Correct 0 ms 208 KB Output is correct
7 Correct 17 ms 468 KB Output is correct
8 Correct 9 ms 336 KB Output is correct
9 Partially correct 47 ms 640 KB Output is partially correct
10 Partially correct 43 ms 696 KB Output is partially correct
11 Correct 28 ms 480 KB Output is correct
12 Correct 32 ms 496 KB Output is correct
13 Partially correct 47 ms 584 KB Output is partially correct
14 Partially correct 82 ms 844 KB Output is partially correct
15 Partially correct 49 ms 584 KB Output is partially correct
16 Partially correct 78 ms 804 KB Output is partially correct
17 Partially correct 42 ms 640 KB Output is partially correct
18 Partially correct 60 ms 748 KB Output is partially correct
19 Partially correct 62 ms 648 KB Output is partially correct
20 Partially correct 57 ms 668 KB Output is partially correct
21 Partially correct 51 ms 668 KB Output is partially correct
22 Partially correct 73 ms 712 KB Output is partially correct
23 Partially correct 61 ms 584 KB Output is partially correct
24 Correct 45 ms 548 KB Output is correct
25 Correct 28 ms 456 KB Output is correct
26 Correct 14 ms 336 KB Output is correct
27 Partially correct 50 ms 636 KB Output is partially correct
28 Partially correct 52 ms 652 KB Output is partially correct
29 Partially correct 36 ms 660 KB Output is partially correct
30 Partially correct 48 ms 632 KB Output is partially correct
31 Partially correct 66 ms 708 KB Output is partially correct
32 Partially correct 80 ms 720 KB Output is partially correct
33 Partially correct 65 ms 760 KB Output is partially correct
34 Partially correct 55 ms 716 KB Output is partially correct
35 Partially correct 70 ms 624 KB Output is partially correct
36 Partially correct 54 ms 668 KB Output is partially correct
37 Partially correct 62 ms 680 KB Output is partially correct
38 Partially correct 59 ms 728 KB Output is partially correct
39 Partially correct 50 ms 644 KB Output is partially correct
40 Partially correct 45 ms 680 KB Output is partially correct
41 Partially correct 52 ms 860 KB Output is partially correct
42 Partially correct 63 ms 792 KB Output is partially correct
43 Correct 9 ms 336 KB Output is correct
44 Correct 26 ms 432 KB Output is correct
45 Correct 34 ms 468 KB Output is correct
46 Correct 28 ms 456 KB Output is correct
47 Correct 33 ms 484 KB Output is correct
48 Correct 26 ms 456 KB Output is correct