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Submission #837858

# Submission time Handle Problem Language Result Execution time Memory
837858 2023-08-25T18:56:39 Z fatemetmhr Rarest Insects (IOI22_insects) C++17
60.02 / 100
 83 ms 952 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 0 ms 208 KB Output is correct
4 Correct 1 ms 208 KB Output is correct
5 Correct 1 ms 208 KB Output is correct
6 Correct 1 ms 208 KB Output is correct
7 Correct 2 ms 208 KB Output is correct
8 Correct 5 ms 336 KB Output is correct
9 Correct 8 ms 336 KB Output is correct
10 Correct 2 ms 320 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 336 KB Output is correct
14 Correct 6 ms 452 KB Output is correct
15 Correct 7 ms 340 KB Output is correct
16 Correct 5 ms 336 KB Output is correct
17 Correct 7 ms 464 KB Output is correct
18 Correct 6 ms 340 KB Output is correct
19 Correct 5 ms 336 KB Output is correct
20 Correct 5 ms 344 KB Output is correct
21 Correct 3 ms 208 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 0 ms 208 KB Output is correct
4 Correct 1 ms 208 KB Output is correct
5 Correct 1 ms 208 KB Output is correct
6 Correct 1 ms 208 KB Output is correct
7 Correct 2 ms 208 KB Output is correct
8 Correct 5 ms 336 KB Output is correct
9 Correct 8 ms 336 KB Output is correct
10 Correct 2 ms 320 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 336 KB Output is correct
14 Correct 6 ms 452 KB Output is correct
15 Correct 7 ms 340 KB Output is correct
16 Correct 5 ms 336 KB Output is correct
17 Correct 7 ms 464 KB Output is correct
18 Correct 6 ms 340 KB Output is correct
19 Correct 5 ms 336 KB Output is correct
20 Correct 5 ms 344 KB Output is correct
21 Correct 3 ms 208 KB Output is correct
22 Correct 2 ms 208 KB Output is correct
23 Correct 7 ms 336 KB Output is correct
24 Correct 7 ms 336 KB Output is correct
25 Correct 21 ms 504 KB Output is correct
26 Correct 43 ms 476 KB Output is correct
27 Correct 11 ms 336 KB Output is correct
28 Correct 8 ms 336 KB Output is correct
29 Correct 24 ms 552 KB Output is correct
30 Correct 30 ms 736 KB Output is correct
31 Correct 35 ms 524 KB Output is correct
32 Correct 29 ms 532 KB Output is correct
33 Correct 29 ms 600 KB Output is correct
34 Correct 25 ms 468 KB Output is correct
35 Correct 20 ms 448 KB Output is correct
36 Correct 27 ms 480 KB Output is correct
37 Correct 23 ms 468 KB Output is correct
38 Correct 35 ms 516 KB Output is correct
39 Correct 19 ms 592 KB Output is correct
40 Correct 11 ms 336 KB Output is correct
41 Correct 7 ms 328 KB Output is correct

Subtask #3
35.02 / 75.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 208 KB Output is correct
6 Correct 1 ms 208 KB Output is correct
7 Correct 13 ms 336 KB Output is correct
8 Correct 10 ms 336 KB Output is correct
9 Partially correct 36 ms 560 KB Output is partially correct
10 Partially correct 63 ms 768 KB Output is partially correct
11 Correct 26 ms 488 KB Output is correct
12 Correct 15 ms 388 KB Output is correct
13 Partially correct 37 ms 716 KB Output is partially correct
14 Partially correct 83 ms 928 KB Output is partially correct
15 Partially correct 57 ms 736 KB Output is partially correct
16 Partially correct 60 ms 916 KB Output is partially correct
17 Partially correct 54 ms 584 KB Output is partially correct
18 Partially correct 53 ms 608 KB Output is partially correct
19 Partially correct 58 ms 864 KB Output is partially correct
20 Partially correct 46 ms 668 KB Output is partially correct
21 Partially correct 63 ms 792 KB Output is partially correct
22 Partially correct 67 ms 708 KB Output is partially correct
23 Partially correct 62 ms 664 KB Output is partially correct
24 Correct 45 ms 512 KB Output is correct
25 Correct 22 ms 452 KB Output is correct
26 Correct 14 ms 336 KB Output is correct
27 Partially correct 37 ms 728 KB Output is partially correct
28 Partially correct 46 ms 548 KB Output is partially correct
29 Partially correct 41 ms 540 KB Output is partially correct
30 Partially correct 41 ms 544 KB Output is partially correct
31 Partially correct 64 ms 740 KB Output is partially correct
32 Partially correct 52 ms 952 KB Output is partially correct
33 Partially correct 50 ms 772 KB Output is partially correct
34 Partially correct 54 ms 688 KB Output is partially correct
35 Partially correct 52 ms 692 KB Output is partially correct
36 Partially correct 43 ms 616 KB Output is partially correct
37 Partially correct 45 ms 836 KB Output is partially correct
38 Partially correct 61 ms 680 KB Output is partially correct
39 Partially correct 57 ms 632 KB Output is partially correct
40 Partially correct 47 ms 564 KB Output is partially correct
41 Partially correct 40 ms 628 KB Output is partially correct
42 Partially correct 50 ms 652 KB Output is partially correct
43 Correct 10 ms 372 KB Output is correct
44 Correct 27 ms 584 KB Output is correct
45 Correct 32 ms 456 KB Output is correct
46 Correct 16 ms 512 KB Output is correct
47 Correct 13 ms 336 KB Output is correct
48 Correct 13 ms 388 KB Output is correct