Submission #837372

# Submission time Handle Problem Language Result Execution time Memory
837372 2023-08-25T10:00:20 Z fatemetmhr Rarest Insects (IOI22_insects) C++17
57.14 / 100
92 ms 800 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();
        }
    }
    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 <= 7){
        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 1 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 2 ms 208 KB Output is correct
7 Correct 2 ms 208 KB Output is correct
8 Correct 6 ms 336 KB Output is correct
9 Correct 8 ms 328 KB Output is correct
10 Correct 2 ms 404 KB Output is correct
11 Correct 2 ms 208 KB Output is correct
12 Correct 6 ms 340 KB Output is correct
13 Correct 4 ms 340 KB Output is correct
14 Correct 5 ms 348 KB Output is correct
15 Correct 7 ms 340 KB Output is correct
16 Correct 4 ms 328 KB Output is correct
17 Correct 7 ms 324 KB Output is correct
18 Correct 9 ms 352 KB Output is correct
19 Correct 5 ms 344 KB Output is correct
20 Correct 4 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 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 1 ms 208 KB Output is correct
5 Correct 1 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 6 ms 336 KB Output is correct
9 Correct 8 ms 328 KB Output is correct
10 Correct 2 ms 404 KB Output is correct
11 Correct 2 ms 208 KB Output is correct
12 Correct 6 ms 340 KB Output is correct
13 Correct 4 ms 340 KB Output is correct
14 Correct 5 ms 348 KB Output is correct
15 Correct 7 ms 340 KB Output is correct
16 Correct 4 ms 328 KB Output is correct
17 Correct 7 ms 324 KB Output is correct
18 Correct 9 ms 352 KB Output is correct
19 Correct 5 ms 344 KB Output is correct
20 Correct 4 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 352 KB Output is correct
24 Correct 9 ms 336 KB Output is correct
25 Correct 31 ms 452 KB Output is correct
26 Correct 39 ms 524 KB Output is correct
27 Correct 15 ms 364 KB Output is correct
28 Correct 8 ms 336 KB Output is correct
29 Correct 22 ms 412 KB Output is correct
30 Correct 42 ms 524 KB Output is correct
31 Correct 26 ms 488 KB Output is correct
32 Correct 27 ms 472 KB Output is correct
33 Correct 39 ms 500 KB Output is correct
34 Correct 27 ms 448 KB Output is correct
35 Correct 34 ms 524 KB Output is correct
36 Correct 27 ms 540 KB Output is correct
37 Correct 30 ms 452 KB Output is correct
38 Correct 23 ms 400 KB Output is correct
39 Correct 23 ms 508 KB Output is correct
40 Correct 13 ms 324 KB Output is correct
41 Correct 9 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 10 ms 336 KB Output is correct
8 Correct 15 ms 404 KB Output is correct
9 Partially correct 63 ms 600 KB Output is partially correct
10 Partially correct 79 ms 672 KB Output is partially correct
11 Correct 29 ms 372 KB Output is correct
12 Correct 26 ms 556 KB Output is correct
13 Partially correct 45 ms 612 KB Output is partially correct
14 Partially correct 92 ms 764 KB Output is partially correct
15 Partially correct 38 ms 696 KB Output is partially correct
16 Partially correct 68 ms 648 KB Output is partially correct
17 Partially correct 49 ms 668 KB Output is partially correct
18 Partially correct 62 ms 644 KB Output is partially correct
19 Partially correct 42 ms 704 KB Output is partially correct
20 Partially correct 79 ms 696 KB Output is partially correct
21 Partially correct 64 ms 744 KB Output is partially correct
22 Partially correct 81 ms 800 KB Output is partially correct
23 Partially correct 53 ms 744 KB Output is partially correct
24 Correct 52 ms 560 KB Output is correct
25 Correct 38 ms 496 KB Output is correct
26 Correct 16 ms 488 KB Output is correct
27 Partially correct 64 ms 608 KB Output is partially correct
28 Partially correct 60 ms 604 KB Output is partially correct
29 Partially correct 47 ms 672 KB Output is partially correct
30 Partially correct 53 ms 656 KB Output is partially correct
31 Partially correct 60 ms 748 KB Output is partially correct
32 Partially correct 58 ms 736 KB Output is partially correct
33 Partially correct 82 ms 696 KB Output is partially correct
34 Partially correct 91 ms 744 KB Output is partially correct
35 Partially correct 51 ms 668 KB Output is partially correct
36 Partially correct 48 ms 636 KB Output is partially correct
37 Partially correct 54 ms 660 KB Output is partially correct
38 Partially correct 85 ms 736 KB Output is partially correct
39 Partially correct 49 ms 636 KB Output is partially correct
40 Partially correct 38 ms 664 KB Output is partially correct
41 Partially correct 65 ms 744 KB Output is partially correct
42 Partially correct 62 ms 768 KB Output is partially correct
43 Correct 8 ms 356 KB Output is correct
44 Correct 17 ms 484 KB Output is correct
45 Correct 47 ms 588 KB Output is correct
46 Correct 22 ms 628 KB Output is correct
47 Correct 32 ms 436 KB Output is correct
48 Correct 37 ms 480 KB Output is correct