oj.uz

Submission #971106

# Submission time Handle Problem Language Result Execution time Memory
971106 2024-04-28T00:58:59 Z maksim1744 Rarest Insects (IOI22_insects) C++17
99.98 / 100
 47 ms 12088 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(11115);

    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) {
            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:149:28: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  149 |             if (cur.size() == (C - m) * dif) {
      |                 ~~~~~~~~~~~^~~~~~~~~~~~~~~~
insects.cpp:152:36: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  152 |             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 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 600 KB Output is correct
7 Correct 1 ms 688 KB Output is correct
8 Correct 3 ms 600 KB Output is correct
9 Correct 3 ms 600 KB Output is correct
10 Correct 3 ms 600 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 3 ms 480 KB Output is correct
13 Correct 3 ms 856 KB Output is correct
14 Correct 3 ms 740 KB Output is correct
15 Correct 2 ms 592 KB Output is correct
16 Correct 3 ms 600 KB Output is correct
17 Correct 3 ms 344 KB Output is correct
18 Correct 3 ms 852 KB Output is correct
19 Correct 3 ms 600 KB Output is correct
20 Correct 3 ms 344 KB Output is correct
21 Correct 2 ms 600 KB Output is correct
22 Correct 2 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 600 KB Output is correct
7 Correct 1 ms 688 KB Output is correct
8 Correct 3 ms 600 KB Output is correct
9 Correct 3 ms 600 KB Output is correct
10 Correct 3 ms 600 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 3 ms 480 KB Output is correct
13 Correct 3 ms 856 KB Output is correct
14 Correct 3 ms 740 KB Output is correct
15 Correct 2 ms 592 KB Output is correct
16 Correct 3 ms 600 KB Output is correct
17 Correct 3 ms 344 KB Output is correct
18 Correct 3 ms 852 KB Output is correct
19 Correct 3 ms 600 KB Output is correct
20 Correct 3 ms 344 KB Output is correct
21 Correct 2 ms 600 KB Output is correct
22 Correct 2 ms 600 KB Output is correct
23 Correct 6 ms 1624 KB Output is correct
24 Correct 7 ms 1860 KB Output is correct
25 Correct 13 ms 3076 KB Output is correct
26 Correct 16 ms 3900 KB Output is correct
27 Correct 14 ms 2916 KB Output is correct
28 Correct 6 ms 1880 KB Output is correct
29 Correct 15 ms 3100 KB Output is correct
30 Correct 17 ms 3580 KB Output is correct
31 Correct 9 ms 2388 KB Output is correct
32 Correct 14 ms 3000 KB Output is correct
33 Correct 13 ms 2900 KB Output is correct
34 Correct 12 ms 2552 KB Output is correct
35 Correct 13 ms 2912 KB Output is correct
36 Correct 16 ms 3188 KB Output is correct
37 Correct 17 ms 3564 KB Output is correct
38 Correct 17 ms 3612 KB Output is correct
39 Correct 19 ms 3500 KB Output is correct
40 Correct 10 ms 2648 KB Output is correct
41 Correct 7 ms 1816 KB Output is correct

Subtask #3
74.98 / 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 596 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 16 ms 4896 KB Output is correct
8 Correct 13 ms 4688 KB Output is correct
9 Correct 33 ms 9040 KB Output is correct
10 Correct 38 ms 11976 KB Output is correct
11 Correct 30 ms 9212 KB Output is correct
12 Correct 21 ms 6076 KB Output is correct
13 Partially correct 37 ms 10208 KB Output is partially correct
14 Correct 43 ms 11072 KB Output is correct
15 Correct 23 ms 6908 KB Output is correct
16 Correct 23 ms 7216 KB Output is correct
17 Correct 26 ms 6948 KB Output is correct
18 Correct 30 ms 8388 KB Output is correct
19 Correct 26 ms 8284 KB Output is correct
20 Correct 32 ms 8812 KB Output is correct
21 Correct 37 ms 11200 KB Output is correct
22 Correct 43 ms 11484 KB Output is correct
23 Correct 41 ms 11904 KB Output is correct
24 Correct 40 ms 10928 KB Output is correct
25 Correct 27 ms 7020 KB Output is correct
26 Correct 15 ms 5128 KB Output is correct
27 Correct 32 ms 9368 KB Output is correct
28 Correct 32 ms 9652 KB Output is correct
29 Correct 25 ms 8164 KB Output is correct
30 Correct 28 ms 7764 KB Output is correct
31 Correct 44 ms 11532 KB Output is correct
32 Correct 36 ms 10580 KB Output is correct
33 Correct 42 ms 12088 KB Output is correct
34 Correct 45 ms 11808 KB Output is correct
35 Correct 29 ms 9520 KB Output is correct
36 Correct 32 ms 9876 KB Output is correct
37 Correct 47 ms 11612 KB Output is correct
38 Correct 42 ms 11440 KB Output is correct
39 Correct 32 ms 10144 KB Output is correct
40 Correct 34 ms 10620 KB Output is correct
41 Correct 31 ms 9664 KB Output is correct
42 Correct 32 ms 9004 KB Output is correct
43 Correct 8 ms 1296 KB Output is correct
44 Partially correct 31 ms 8340 KB Output is partially correct
45 Correct 17 ms 5400 KB Output is correct
46 Correct 18 ms 6264 KB Output is correct
47 Correct 20 ms 6220 KB Output is correct
48 Correct 20 ms 6080 KB Output is correct