oj.uz

Submission #971107

# Submission time Handle Problem Language Result Execution time Memory
971107 2024-04-28T01:01:33 Z maksim1744 Rarest Insects (IOI22_insects) C++17
99.99 / 100
 46 ms 12516 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;
    bool st = true;
    int m = 0;
    while (R - L > 1) {
        int C = (L + R + st) / 2;
        st = false;
        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:151:28: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  151 |             if (cur.size() == (C - m) * dif) {
      |                 ~~~~~~~~~~~^~~~~~~~~~~~~~~~
insects.cpp:154:36: 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() + cleft < (C - m) * dif) {
      |                 ~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~
insects.cpp:167:24: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  167 |         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 344 KB Output is correct
6 Correct 2 ms 600 KB Output is correct
7 Correct 1 ms 600 KB Output is correct
8 Correct 2 ms 868 KB Output is correct
9 Correct 3 ms 600 KB Output is correct
10 Correct 3 ms 856 KB Output is correct
11 Correct 1 ms 856 KB Output is correct
12 Correct 3 ms 728 KB Output is correct
13 Correct 3 ms 1504 KB Output is correct
14 Correct 2 ms 600 KB Output is correct
15 Correct 2 ms 600 KB Output is correct
16 Correct 2 ms 856 KB Output is correct
17 Correct 3 ms 856 KB Output is correct
18 Correct 3 ms 852 KB Output is correct
19 Correct 3 ms 856 KB Output is correct
20 Correct 3 ms 480 KB Output is correct
21 Correct 2 ms 600 KB Output is correct
22 Correct 1 ms 344 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 344 KB Output is correct
6 Correct 2 ms 600 KB Output is correct
7 Correct 1 ms 600 KB Output is correct
8 Correct 2 ms 868 KB Output is correct
9 Correct 3 ms 600 KB Output is correct
10 Correct 3 ms 856 KB Output is correct
11 Correct 1 ms 856 KB Output is correct
12 Correct 3 ms 728 KB Output is correct
13 Correct 3 ms 1504 KB Output is correct
14 Correct 2 ms 600 KB Output is correct
15 Correct 2 ms 600 KB Output is correct
16 Correct 2 ms 856 KB Output is correct
17 Correct 3 ms 856 KB Output is correct
18 Correct 3 ms 852 KB Output is correct
19 Correct 3 ms 856 KB Output is correct
20 Correct 3 ms 480 KB Output is correct
21 Correct 2 ms 600 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 6 ms 2136 KB Output is correct
24 Correct 7 ms 1520 KB Output is correct
25 Correct 12 ms 2636 KB Output is correct
26 Correct 17 ms 3268 KB Output is correct
27 Correct 16 ms 3232 KB Output is correct
28 Correct 6 ms 1880 KB Output is correct
29 Correct 15 ms 3412 KB Output is correct
30 Correct 18 ms 3848 KB Output is correct
31 Correct 9 ms 2388 KB Output is correct
32 Correct 11 ms 2628 KB Output is correct
33 Correct 12 ms 3156 KB Output is correct
34 Correct 12 ms 2948 KB Output is correct
35 Correct 12 ms 2864 KB Output is correct
36 Correct 14 ms 2648 KB Output is correct
37 Correct 17 ms 3248 KB Output is correct
38 Correct 18 ms 3884 KB Output is correct
39 Correct 17 ms 3656 KB Output is correct
40 Correct 10 ms 2672 KB Output is correct
41 Correct 7 ms 1880 KB Output is correct

Subtask #3
74.99 / 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 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 1 ms 596 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 17 ms 5600 KB Output is correct
8 Correct 14 ms 5100 KB Output is correct
9 Correct 28 ms 9336 KB Output is correct
10 Correct 44 ms 10876 KB Output is correct
11 Correct 31 ms 9312 KB Output is correct
12 Correct 19 ms 5848 KB Output is correct
13 Partially correct 32 ms 9912 KB Output is partially correct
14 Correct 41 ms 11144 KB Output is correct
15 Correct 22 ms 6748 KB Output is correct
16 Correct 21 ms 7296 KB Output is correct
17 Correct 23 ms 7372 KB Output is correct
18 Correct 24 ms 7748 KB Output is correct
19 Correct 27 ms 7800 KB Output is correct
20 Correct 31 ms 8956 KB Output is correct
21 Correct 40 ms 11436 KB Output is correct
22 Correct 39 ms 11744 KB Output is correct
23 Correct 41 ms 12100 KB Output is correct
24 Correct 46 ms 10556 KB Output is correct
25 Correct 25 ms 7120 KB Output is correct
26 Correct 15 ms 5200 KB Output is correct
27 Correct 31 ms 9492 KB Output is correct
28 Correct 32 ms 10000 KB Output is correct
29 Correct 31 ms 8796 KB Output is correct
30 Correct 28 ms 8100 KB Output is correct
31 Correct 36 ms 10664 KB Output is correct
32 Correct 44 ms 10792 KB Output is correct
33 Correct 41 ms 12516 KB Output is correct
34 Correct 45 ms 12364 KB Output is correct
35 Correct 29 ms 9048 KB Output is correct
36 Correct 33 ms 9600 KB Output is correct
37 Correct 39 ms 11072 KB Output is correct
38 Correct 42 ms 10552 KB Output is correct
39 Correct 34 ms 10004 KB Output is correct
40 Correct 36 ms 10292 KB Output is correct
41 Correct 32 ms 9068 KB Output is correct
42 Correct 30 ms 9376 KB Output is correct
43 Correct 7 ms 1416 KB Output is correct
44 Correct 32 ms 9204 KB Output is correct
45 Correct 17 ms 5300 KB Output is correct
46 Correct 20 ms 6132 KB Output is correct
47 Correct 19 ms 5820 KB Output is correct
48 Correct 19 ms 6368 KB Output is correct