Submission #837848

# Submission time Handle Problem Language Result Execution time Memory
837848 2023-08-25T18:41:20 Z fatemetmhr Rarest Insects (IOI22_insects) C++17
60.48 / 100
85 ms 976 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;
int c[3];


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

void mmove_outside(int x){
    if(c[0] == 20 * n)
        exit(1);
    x = per[x];
    move_outside(x);
    fix(hsh -= pw[x]);
    c[0]++;
}

void mmove_inside(int x){
    if(c[1] == 20 * n)
        exit(1);
    x = per[x];
    move_inside(x);
    fix(hsh += pw[x]);
    c[1]++;
}

int ppress_button(){
    if(c[2] == 20 * n)
        exit(1);
    if(asked.find(hsh) == asked.end())
        asked[hsh] = press_button();
    c[2]++;
    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(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 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 1 ms 208 KB Output is correct
6 Correct 2 ms 328 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 5 ms 344 KB Output is correct
9 Correct 5 ms 336 KB Output is correct
10 Correct 3 ms 332 KB Output is correct
11 Correct 2 ms 208 KB Output is correct
12 Correct 5 ms 336 KB Output is correct
13 Correct 7 ms 352 KB Output is correct
14 Correct 8 ms 336 KB Output is correct
15 Correct 7 ms 364 KB Output is correct
16 Correct 4 ms 336 KB Output is correct
17 Correct 6 ms 336 KB Output is correct
18 Correct 8 ms 356 KB Output is correct
19 Correct 5 ms 336 KB Output is correct
20 Correct 6 ms 336 KB Output is correct
21 Correct 3 ms 336 KB Output is correct
22 Correct 2 ms 208 KB Output is correct
# 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 1 ms 208 KB Output is correct
6 Correct 2 ms 328 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 5 ms 344 KB Output is correct
9 Correct 5 ms 336 KB Output is correct
10 Correct 3 ms 332 KB Output is correct
11 Correct 2 ms 208 KB Output is correct
12 Correct 5 ms 336 KB Output is correct
13 Correct 7 ms 352 KB Output is correct
14 Correct 8 ms 336 KB Output is correct
15 Correct 7 ms 364 KB Output is correct
16 Correct 4 ms 336 KB Output is correct
17 Correct 6 ms 336 KB Output is correct
18 Correct 8 ms 356 KB Output is correct
19 Correct 5 ms 336 KB Output is correct
20 Correct 6 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 10 ms 348 KB Output is correct
24 Correct 8 ms 336 KB Output is correct
25 Correct 28 ms 388 KB Output is correct
26 Correct 42 ms 468 KB Output is correct
27 Correct 12 ms 380 KB Output is correct
28 Correct 10 ms 360 KB Output is correct
29 Correct 27 ms 444 KB Output is correct
30 Correct 34 ms 488 KB Output is correct
31 Correct 28 ms 424 KB Output is correct
32 Correct 45 ms 508 KB Output is correct
33 Correct 29 ms 480 KB Output is correct
34 Correct 26 ms 648 KB Output is correct
35 Correct 23 ms 432 KB Output is correct
36 Correct 28 ms 460 KB Output is correct
37 Correct 28 ms 472 KB Output is correct
38 Correct 34 ms 464 KB Output is correct
39 Correct 20 ms 532 KB Output is correct
40 Correct 18 ms 504 KB Output is correct
41 Correct 7 ms 340 KB Output is correct
# 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 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 20 ms 392 KB Output is correct
8 Correct 17 ms 408 KB Output is correct
9 Partially correct 57 ms 596 KB Output is partially correct
10 Partially correct 58 ms 808 KB Output is partially correct
11 Correct 30 ms 388 KB Output is correct
12 Correct 39 ms 428 KB Output is correct
13 Partially correct 48 ms 628 KB Output is partially correct
14 Partially correct 77 ms 976 KB Output is partially correct
15 Partially correct 69 ms 620 KB Output is partially correct
16 Partially correct 72 ms 812 KB Output is partially correct
17 Partially correct 60 ms 596 KB Output is partially correct
18 Partially correct 64 ms 692 KB Output is partially correct
19 Partially correct 51 ms 584 KB Output is partially correct
20 Partially correct 81 ms 672 KB Output is partially correct
21 Partially correct 68 ms 736 KB Output is partially correct
22 Partially correct 85 ms 756 KB Output is partially correct
23 Partially correct 52 ms 576 KB Output is partially correct
24 Correct 57 ms 508 KB Output is correct
25 Correct 32 ms 700 KB Output is correct
26 Correct 12 ms 404 KB Output is correct
27 Partially correct 57 ms 540 KB Output is partially correct
28 Partially correct 47 ms 560 KB Output is partially correct
29 Partially correct 52 ms 572 KB Output is partially correct
30 Partially correct 35 ms 832 KB Output is partially correct
31 Partially correct 72 ms 684 KB Output is partially correct
32 Partially correct 78 ms 708 KB Output is partially correct
33 Partially correct 63 ms 964 KB Output is partially correct
34 Partially correct 82 ms 640 KB Output is partially correct
35 Partially correct 61 ms 588 KB Output is partially correct
36 Partially correct 51 ms 600 KB Output is partially correct
37 Partially correct 64 ms 720 KB Output is partially correct
38 Partially correct 85 ms 736 KB Output is partially correct
39 Partially correct 46 ms 620 KB Output is partially correct
40 Partially correct 46 ms 572 KB Output is partially correct
41 Partially correct 37 ms 672 KB Output is partially correct
42 Partially correct 53 ms 648 KB Output is partially correct
43 Correct 8 ms 336 KB Output is correct
44 Correct 36 ms 456 KB Output is correct
45 Correct 35 ms 476 KB Output is correct
46 Correct 27 ms 468 KB Output is correct
47 Correct 25 ms 716 KB Output is correct
48 Correct 27 ms 504 KB Output is correct