oj.uz

Submission #971110

# Submission time Handle Problem Language Result Execution time Memory
971110 2024-04-28T01:04:47 Z maksim1744 Rarest Insects (IOI22_insects) C++17
100 / 100
 44 ms 11976 KB 
/*
    author:  Maksim1744
    created: 28.04.2024 03:07:13
*/

#include "bits/stdc++.h"

using namespace std;

using ll = long long;
using ld = long double;

#define mp   make_pair
#define pb   push_back
#define eb   emplace_back

#define sum(a)     ( accumulate ((a).begin(), (a).end(), 0ll))
#define mine(a)    (*min_element((a).begin(), (a).end()))
#define maxe(a)    (*max_element((a).begin(), (a).end()))
#define mini(a)    ( min_element((a).begin(), (a).end()) - (a).begin())
#define maxi(a)    ( max_element((a).begin(), (a).end()) - (a).begin())
#define lowb(a, x) ( lower_bound((a).begin(), (a).end(), (x)) - (a).begin())
#define uppb(a, x) ( upper_bound((a).begin(), (a).end(), (x)) - (a).begin())

template<typename T>             vector<T>& operator--            (vector<T> &v){for (auto& i : v) --i;            return  v;}
template<typename T>             vector<T>& operator++            (vector<T> &v){for (auto& i : v) ++i;            return  v;}
template<typename T>             istream& operator>>(istream& is,  vector<T> &v){for (auto& i : v) is >> i;        return is;}
template<typename T>             ostream& operator<<(ostream& os,  vector<T>  v){for (auto& i : v) os << i << ' '; return os;}
template<typename T, typename U> pair<T,U>& operator--           (pair<T, U> &p){--p.first; --p.second;            return  p;}
template<typename T, typename U> pair<T,U>& operator++           (pair<T, U> &p){++p.first; ++p.second;            return  p;}
template<typename T, typename U> istream& operator>>(istream& is, pair<T, U> &p){is >> p.first >> p.second;        return is;}
template<typename T, typename U> ostream& operator<<(ostream& os, pair<T, U>  p){os << p.first << ' ' << p.second; return os;}
template<typename T, typename U> pair<T,U> operator-(pair<T,U> a, pair<T,U> b){return mp(a.first-b.first, a.second-b.second);}
template<typename T, typename U> pair<T,U> operator+(pair<T,U> a, pair<T,U> b){return mp(a.first+b.first, a.second+b.second);}
template<typename T, typename U> void umin(T& a, U b){if (a > b) a = b;}
template<typename T, typename U> void umax(T& a, U b){if (a < b) a = b;}

#ifdef HOME
#define SHOW_COLORS
#include "/mnt/c/Libs/tools/print.cpp"
#else
#define show(...) void(0)
#define debugf(fun)   fun
#define debugv(var)   var
#define mclock    void(0)
#define shows     void(0)
#define debug  if (false)
#define OSTREAM(...)    ;
#define OSTREAM0(...)   ;
#endif

void move_inside(int i);
void move_outside(int i);
int press_button();

#ifdef HOUSE
set<int> cur;
vector<int> col;
array<int, 3> que;

void move_inside(int i) {
    ++que[0];
    cur.insert(i);
}

void move_outside(int i) {
    ++que[1];
    cur.erase(i);
}

int press_button() {
    ++que[2];
    map<int, int> u;
    for (int i : cur)
        u[col[i]]++;
    int ans = 0;
    for (auto [a, b] : u)
        ans = max(ans, b);
    return ans;
}
#endif

int min_cardinality(int n) {
    mt19937_64 rng(11112);

    set<int> cur;
    map<string, int> mem;
    string scur(n, '0');

    pair<int, int> pot = {0, 0};

    auto add = [&](int i) {
        if (cur.count(i)) return;
        cur.insert(i);
        scur[i] ^= '0' ^ '1';
        move_inside(i);
        pot.second++;
        pot.second = min(pot.second, (int)cur.size());
    };
    auto rem = [&](int i) {
        if (!cur.count(i)) return;
        cur.erase(i);
        scur[i] ^= '0' ^ '1';
        move_outside(i);
        pot.first--;
        pot.first = max(pot.first, cur.empty() ? 0 : 1);
    };
    auto ask_int = [&]() -> int {
        if (cur.size() <= 1) return cur.size();
        if (mem.count(scur)) return mem[scur];
        return mem[scur] = press_button();
        // return press_button();
    };
    auto ask = [&]() -> int {
        int e = ask_int();
        pot = {e, e};
        return e;
    };
    auto clear = [&]() {
        while (!cur.empty())
            rem(*cur.begin());
    };

    for (int i = 0; i < n; ++i) {
        add(i);
        if (ask() > 1) {
            rem(i);
        }
    }
    if (cur.size() == n) return 1;
    int dif = cur.size();
    set<int> left;
    for (int i = 0; i < n; ++i) {
        left.insert(i);
    }

    int L = 1, R = 1;
    while (R * cur.size() <= n) ++R;
    int m = 0;
    for (int i : cur)
        left.erase(i);
    clear();
    m = 1;
    while (R - L > 1) {
        int C = (L + R) / 2;
        while (C <= L) ++C;
        while (C >= R) --C;
        int cleft = left.size();
        set<int> checked;
        vector<int> vleft(left.begin(), left.end());
        shuffle(vleft.begin(), vleft.end(), rng);
        for (int i : vleft) {
            if (cur.size() == (C - m) * dif) {
                break;
            }
            if (cur.size() + cleft < (C - m) * dif) {
                for (int u : left)
                    if (!checked.count(u))
                        add(u);
                        // cur.insert(u);
                break;
            }
            add(i);
            checked.insert(i);
            if (pot.second > C - m && ask() > C - m)
                rem(i);
            --cleft;
        }
        if (cur.size() == (C - m) * dif) {
            for (int i : cur)
                left.erase(i);
            clear();
            L = C;
            m = L;
        } else {
            // for (int i = 0; i < n; ++i) {
            //     if (!cur.count(i))
            //         left.erase(i);
            // }
            left = cur;
            clear();
            R = C;
        }
    }
    return L;
}

#ifdef HOUSE
// mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
mt19937_64 rng(3294793);
ll rnd (ll l, ll r) { return (ll)(rng() % (r - l + 1)) + l; }
ll rnd (ll r)       { return rng() % r; }
ll rnd ()           { return rng(); }
ld rndf()           { return (ld)rng() / (ld)ULLONG_MAX; }
ld rndf(ld l, ld r) { return rndf() * (r - l) + l; }

int main() {
    ios_base::sync_with_stdio(false); cin.tie(NULL);

    int mxq = 0;
    int T = 100000;
    int n = 2000;
    for (int t = 1; t <= T; ++t) {
        rng.seed(t);
        int C = rnd(1, 200);
        // int C = rnd(1, n);
        cur.clear();
        col.resize(n);
        for (int i = 0; i < n; ++i)
            col[i] = rnd(C);
        que.fill(0);

        int ans = 1e9;
        map<int, int> m;
        for (int i : col)
            m[i]++;
        for (auto [a, b] : m)
            ans = min(ans, b);
        int x = min_cardinality(n);
        // cerr <<  "ans=" << ans << " out=" << x << endl;
        // cerr << "que: ";
        // for (int x : que)
        //     cerr << x << ' ';
        // cerr << endl;
        // cerr << fixed << setprecision(3) << (ld)maxe(que) / n << endl;
        show(m);
        assert(ans == x);
        // assert(maxe(que) <= n * 3);
        mxq = max(mxq, maxe(que));
        cerr << "t=" << t << ' ' << "mxq: " << maxe(que) << " " << (ld)mxq / n << ' ' << "C=" << C << endl;
        if (mxq > n * 3) {
            cerr <<  "ans=" << ans << " out=" << x << endl;
            cerr << "que: ";
            for (int x : que)
                cerr << x << ' ';
            cerr << endl;
        }
        assert(mxq <= n * 3);
    }

    return 0;
}
#endif

Compilation message

insects.cpp: In function 'int min_cardinality(int)':
insects.cpp:130:20: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  130 |     if (cur.size() == n) return 1;
      |         ~~~~~~~~~~~^~~~
insects.cpp:138:27: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  138 |     while (R * cur.size() <= n) ++R;
      |            ~~~~~~~~~~~~~~~^~~~
insects.cpp:153:28: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  153 |             if (cur.size() == (C - m) * dif) {
      |                 ~~~~~~~~~~~^~~~~~~~~~~~~~~~
insects.cpp:156:36: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  156 |             if (cur.size() + cleft < (C - m) * dif) {
      |                 ~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~
insects.cpp:169:24: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  169 |         if (cur.size() == (C - m) * dif) {
      |             ~~~~~~~~~~~^~~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 600 KB Output is correct
8 Correct 2 ms 600 KB Output is correct
9 Correct 3 ms 600 KB Output is correct
10 Correct 2 ms 696 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 3 ms 856 KB Output is correct
13 Correct 3 ms 896 KB Output is correct
14 Correct 2 ms 600 KB Output is correct
15 Correct 2 ms 1112 KB Output is correct
16 Correct 2 ms 856 KB Output is correct
17 Correct 3 ms 596 KB Output is correct
18 Correct 3 ms 600 KB Output is correct
19 Correct 3 ms 864 KB Output is correct
20 Correct 2 ms 344 KB Output is correct
21 Correct 2 ms 600 KB Output is correct
22 Correct 1 ms 600 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 600 KB Output is correct
8 Correct 2 ms 600 KB Output is correct
9 Correct 3 ms 600 KB Output is correct
10 Correct 2 ms 696 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 3 ms 856 KB Output is correct
13 Correct 3 ms 896 KB Output is correct
14 Correct 2 ms 600 KB Output is correct
15 Correct 2 ms 1112 KB Output is correct
16 Correct 2 ms 856 KB Output is correct
17 Correct 3 ms 596 KB Output is correct
18 Correct 3 ms 600 KB Output is correct
19 Correct 3 ms 864 KB Output is correct
20 Correct 2 ms 344 KB Output is correct
21 Correct 2 ms 600 KB Output is correct
22 Correct 1 ms 600 KB Output is correct
23 Correct 8 ms 1892 KB Output is correct
24 Correct 7 ms 2184 KB Output is correct
25 Correct 14 ms 3244 KB Output is correct
26 Correct 16 ms 3716 KB Output is correct
27 Correct 13 ms 2644 KB Output is correct
28 Correct 6 ms 1880 KB Output is correct
29 Correct 15 ms 2752 KB Output is correct
30 Correct 17 ms 3564 KB Output is correct
31 Correct 10 ms 2420 KB Output is correct
32 Correct 12 ms 2996 KB Output is correct
33 Correct 12 ms 2564 KB Output is correct
34 Correct 11 ms 2424 KB Output is correct
35 Correct 14 ms 2776 KB Output is correct
36 Correct 15 ms 3364 KB Output is correct
37 Correct 18 ms 2996 KB Output is correct
38 Correct 16 ms 3540 KB Output is correct
39 Correct 14 ms 3120 KB Output is correct
40 Correct 9 ms 2876 KB Output is correct
41 Correct 6 ms 2196 KB Output is correct

Subtask #3
75.0 / 75.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 15 ms 5312 KB Output is correct
8 Correct 12 ms 4696 KB Output is correct
9 Correct 31 ms 8948 KB Output is correct
10 Correct 41 ms 11680 KB Output is correct
11 Correct 32 ms 8768 KB Output is correct
12 Correct 15 ms 5156 KB Output is correct
13 Correct 33 ms 9400 KB Output is correct
14 Correct 39 ms 10996 KB Output is correct
15 Correct 25 ms 6752 KB Output is correct
16 Correct 24 ms 7268 KB Output is correct
17 Correct 27 ms 7436 KB Output is correct
18 Correct 26 ms 7808 KB Output is correct
19 Correct 25 ms 7980 KB Output is correct
20 Correct 33 ms 8888 KB Output is correct
21 Correct 38 ms 11252 KB Output is correct
22 Correct 44 ms 11976 KB Output is correct
23 Correct 39 ms 11360 KB Output is correct
24 Correct 33 ms 10076 KB Output is correct
25 Correct 22 ms 6504 KB Output is correct
26 Correct 16 ms 5516 KB Output is correct
27 Correct 30 ms 9052 KB Output is correct
28 Correct 30 ms 8712 KB Output is correct
29 Correct 30 ms 8876 KB Output is correct
30 Correct 27 ms 8748 KB Output is correct
31 Correct 40 ms 11328 KB Output is correct
32 Correct 38 ms 11184 KB Output is correct
33 Correct 42 ms 11252 KB Output is correct
34 Correct 43 ms 11124 KB Output is correct
35 Correct 33 ms 9532 KB Output is correct
36 Correct 31 ms 9488 KB Output is correct
37 Correct 36 ms 10264 KB Output is correct
38 Correct 40 ms 11216 KB Output is correct
39 Correct 35 ms 10100 KB Output is correct
40 Correct 37 ms 10108 KB Output is correct
41 Correct 34 ms 9956 KB Output is correct
42 Correct 37 ms 9852 KB Output is correct
43 Correct 7 ms 1624 KB Output is correct
44 Correct 28 ms 8424 KB Output is correct
45 Correct 16 ms 5452 KB Output is correct
46 Correct 15 ms 4944 KB Output is correct
47 Correct 15 ms 5200 KB Output is correct
48 Correct 17 ms 5432 KB Output is correct