oj.uz

Submission #971100

# Submission time Handle Problem Language Result Execution time Memory
971100 2024-04-28T00:55:45 Z maksim1744 Rarest Insects (IOI22_insects) C++17
99.99 / 100
 46 ms 12296 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(12937);

    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;
    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) {
            add(i);
            checked.insert(i);
            if (pot.second > C - m && ask() > C - m)
                rem(i);
            --cleft;
            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;
            }
        }
        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:154:28: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  154 |             if (cur.size() == (C - m) * dif) {
      |                 ~~~~~~~~~~~^~~~~~~~~~~~~~~~
insects.cpp:157:36: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  157 |             if (cur.size() + cleft < (C - m) * dif) {
      |                 ~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~
insects.cpp:165:24: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  165 |         if (cur.size() == (C - m) * dif) {
      |             ~~~~~~~~~~~^~~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 1 ms 344 KB Output is correct
5 Correct 0 ms 596 KB Output is correct
6 Correct 1 ms 600 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 2 ms 344 KB Output is correct
9 Correct 3 ms 856 KB Output is correct
10 Correct 3 ms 856 KB Output is correct
11 Correct 2 ms 444 KB Output is correct
12 Correct 3 ms 856 KB Output is correct
13 Correct 3 ms 600 KB Output is correct
14 Correct 2 ms 740 KB Output is correct
15 Correct 2 ms 600 KB Output is correct
16 Correct 3 ms 856 KB Output is correct
17 Correct 3 ms 1368 KB Output is correct
18 Correct 4 ms 600 KB Output is correct
19 Correct 3 ms 856 KB Output is correct
20 Correct 3 ms 1112 KB Output is correct
21 Correct 2 ms 472 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 0 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 1 ms 344 KB Output is correct
5 Correct 0 ms 596 KB Output is correct
6 Correct 1 ms 600 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 2 ms 344 KB Output is correct
9 Correct 3 ms 856 KB Output is correct
10 Correct 3 ms 856 KB Output is correct
11 Correct 2 ms 444 KB Output is correct
12 Correct 3 ms 856 KB Output is correct
13 Correct 3 ms 600 KB Output is correct
14 Correct 2 ms 740 KB Output is correct
15 Correct 2 ms 600 KB Output is correct
16 Correct 3 ms 856 KB Output is correct
17 Correct 3 ms 1368 KB Output is correct
18 Correct 4 ms 600 KB Output is correct
19 Correct 3 ms 856 KB Output is correct
20 Correct 3 ms 1112 KB Output is correct
21 Correct 2 ms 472 KB Output is correct
22 Correct 1 ms 600 KB Output is correct
23 Correct 9 ms 1652 KB Output is correct
24 Correct 7 ms 1880 KB Output is correct
25 Correct 12 ms 3304 KB Output is correct
26 Correct 18 ms 3616 KB Output is correct
27 Correct 13 ms 2576 KB Output is correct
28 Correct 6 ms 1880 KB Output is correct
29 Correct 15 ms 3032 KB Output is correct
30 Correct 17 ms 3588 KB Output is correct
31 Correct 10 ms 2324 KB Output is correct
32 Correct 12 ms 3156 KB Output is correct
33 Correct 12 ms 3148 KB Output is correct
34 Correct 12 ms 2804 KB Output is correct
35 Correct 12 ms 2640 KB Output is correct
36 Correct 15 ms 3396 KB Output is correct
37 Correct 16 ms 3408 KB Output is correct
38 Correct 18 ms 3664 KB Output is correct
39 Correct 15 ms 3600 KB Output is correct
40 Correct 10 ms 2392 KB Output is correct
41 Correct 6 ms 2416 KB Output is correct

Subtask #3
74.99 / 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 1 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 5160 KB Output is correct
8 Correct 14 ms 5244 KB Output is correct
9 Correct 30 ms 8816 KB Output is correct
10 Correct 40 ms 11052 KB Output is correct
11 Correct 32 ms 9640 KB Output is correct
12 Correct 21 ms 5668 KB Output is correct
13 Partially correct 33 ms 9596 KB Output is partially correct
14 Correct 37 ms 11292 KB Output is correct
15 Correct 23 ms 6212 KB Output is correct
16 Correct 22 ms 7428 KB Output is correct
17 Correct 25 ms 7760 KB Output is correct
18 Correct 25 ms 7464 KB Output is correct
19 Correct 24 ms 7280 KB Output is correct
20 Correct 29 ms 8252 KB Output is correct
21 Correct 35 ms 11336 KB Output is correct
22 Correct 43 ms 11148 KB Output is correct
23 Correct 41 ms 11996 KB Output is correct
24 Correct 43 ms 10908 KB Output is correct
25 Correct 22 ms 7076 KB Output is correct
26 Correct 15 ms 5072 KB Output is correct
27 Correct 30 ms 9236 KB Output is correct
28 Correct 28 ms 9112 KB Output is correct
29 Correct 27 ms 8592 KB Output is correct
30 Correct 28 ms 8592 KB Output is correct
31 Correct 36 ms 10640 KB Output is correct
32 Correct 38 ms 10640 KB Output is correct
33 Correct 46 ms 12296 KB Output is correct
34 Correct 40 ms 11876 KB Output is correct
35 Correct 32 ms 9456 KB Output is correct
36 Correct 29 ms 9132 KB Output is correct
37 Correct 38 ms 10796 KB Output is correct
38 Correct 35 ms 10496 KB Output is correct
39 Correct 36 ms 10600 KB Output is correct
40 Correct 38 ms 10048 KB Output is correct
41 Correct 30 ms 9540 KB Output is correct
42 Correct 35 ms 9328 KB Output is correct
43 Correct 7 ms 1368 KB Output is correct
44 Partially correct 29 ms 8428 KB Output is partially correct
45 Correct 20 ms 5040 KB Output is correct
46 Correct 21 ms 6256 KB Output is correct
47 Correct 24 ms 6316 KB Output is correct
48 Correct 19 ms 6220 KB Output is correct