oj.uz

Submission #971098

# Submission time Handle Problem Language Result Execution time Memory
971098 2024-04-28T00:52:29 Z maksim1744 Rarest Insects (IOI22_insects) C++17
99.95 / 100
 49 ms 12588 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(12937192);

    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 : left) {
            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) {
        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 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 600 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 3 ms 852 KB Output is correct
9 Correct 3 ms 600 KB Output is correct
10 Correct 2 ms 344 KB Output is correct
11 Correct 1 ms 856 KB Output is correct
12 Correct 2 ms 540 KB Output is correct
13 Correct 3 ms 856 KB Output is correct
14 Correct 3 ms 856 KB Output is correct
15 Correct 3 ms 600 KB Output is correct
16 Correct 3 ms 856 KB Output is correct
17 Correct 3 ms 768 KB Output is correct
18 Correct 3 ms 600 KB Output is correct
19 Correct 3 ms 1056 KB Output is correct
20 Correct 3 ms 344 KB Output is correct
21 Correct 2 ms 708 KB Output is correct
22 Correct 2 ms 856 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 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 600 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 3 ms 852 KB Output is correct
9 Correct 3 ms 600 KB Output is correct
10 Correct 2 ms 344 KB Output is correct
11 Correct 1 ms 856 KB Output is correct
12 Correct 2 ms 540 KB Output is correct
13 Correct 3 ms 856 KB Output is correct
14 Correct 3 ms 856 KB Output is correct
15 Correct 3 ms 600 KB Output is correct
16 Correct 3 ms 856 KB Output is correct
17 Correct 3 ms 768 KB Output is correct
18 Correct 3 ms 600 KB Output is correct
19 Correct 3 ms 1056 KB Output is correct
20 Correct 3 ms 344 KB Output is correct
21 Correct 2 ms 708 KB Output is correct
22 Correct 2 ms 856 KB Output is correct
23 Correct 8 ms 1720 KB Output is correct
24 Correct 6 ms 2144 KB Output is correct
25 Correct 13 ms 3232 KB Output is correct
26 Correct 17 ms 3728 KB Output is correct
27 Correct 13 ms 3088 KB Output is correct
28 Correct 6 ms 2144 KB Output is correct
29 Correct 13 ms 2856 KB Output is correct
30 Correct 19 ms 3664 KB Output is correct
31 Correct 10 ms 3156 KB Output is correct
32 Correct 13 ms 2768 KB Output is correct
33 Correct 14 ms 3384 KB Output is correct
34 Correct 13 ms 2900 KB Output is correct
35 Correct 12 ms 3144 KB Output is correct
36 Correct 16 ms 3472 KB Output is correct
37 Correct 16 ms 3512 KB Output is correct
38 Correct 16 ms 3452 KB Output is correct
39 Correct 16 ms 3360 KB Output is correct
40 Correct 10 ms 2384 KB Output is correct
41 Correct 7 ms 1368 KB Output is correct

Subtask #3
74.95 / 75.0

# 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 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 18 ms 5056 KB Output is correct
8 Correct 13 ms 5052 KB Output is correct
9 Correct 32 ms 10156 KB Output is correct
10 Correct 42 ms 11776 KB Output is correct
11 Correct 29 ms 8988 KB Output is correct
12 Correct 20 ms 5940 KB Output is correct
13 Partially correct 41 ms 9832 KB Output is partially correct
14 Correct 41 ms 12208 KB Output is correct
15 Correct 24 ms 7348 KB Output is correct
16 Correct 26 ms 8148 KB Output is correct
17 Correct 24 ms 7872 KB Output is correct
18 Correct 34 ms 9112 KB Output is correct
19 Correct 37 ms 9608 KB Output is correct
20 Correct 35 ms 9512 KB Output is correct
21 Correct 38 ms 11632 KB Output is correct
22 Correct 44 ms 12368 KB Output is correct
23 Correct 39 ms 12588 KB Output is correct
24 Correct 38 ms 10904 KB Output is correct
25 Correct 21 ms 6924 KB Output is correct
26 Correct 15 ms 5128 KB Output is correct
27 Correct 36 ms 10880 KB Output is correct
28 Correct 28 ms 8972 KB Output is correct
29 Correct 39 ms 10884 KB Output is correct
30 Correct 35 ms 10652 KB Output is correct
31 Correct 36 ms 9472 KB Output is correct
32 Correct 38 ms 11608 KB Output is correct
33 Correct 35 ms 10240 KB Output is correct
34 Correct 36 ms 10188 KB Output is correct
35 Partially correct 49 ms 11084 KB Output is partially correct
36 Correct 34 ms 10020 KB Output is correct
37 Correct 38 ms 9924 KB Output is correct
38 Correct 38 ms 10512 KB Output is correct
39 Correct 39 ms 10884 KB Output is correct
40 Correct 30 ms 8576 KB Output is correct
41 Correct 33 ms 10716 KB Output is correct
42 Partially correct 38 ms 10940 KB Output is partially correct
43 Correct 7 ms 1112 KB Output is correct
44 Partially correct 32 ms 8900 KB Output is partially correct
45 Correct 20 ms 4812 KB Output is correct
46 Correct 23 ms 6988 KB Output is correct
47 Correct 17 ms 5204 KB Output is correct
48 Correct 18 ms 6288 KB Output is correct