oj.uz

Submission #971103

# Submission time Handle Problem Language Result Execution time Memory
971103 2024-04-28T00:57:25 Z maksim1744 Rarest Insects (IOI22_insects) C++17
99.99 / 100
 48 ms 12284 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;
    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 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 856 KB Output is correct
7 Correct 1 ms 460 KB Output is correct
8 Correct 2 ms 600 KB Output is correct
9 Correct 3 ms 600 KB Output is correct
10 Correct 3 ms 944 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 3 ms 920 KB Output is correct
13 Correct 3 ms 600 KB Output is correct
14 Correct 3 ms 1112 KB Output is correct
15 Correct 3 ms 600 KB Output is correct
16 Correct 2 ms 856 KB Output is correct
17 Correct 2 ms 664 KB Output is correct
18 Correct 4 ms 564 KB Output is correct
19 Correct 3 ms 600 KB Output is correct
20 Correct 3 ms 772 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 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 856 KB Output is correct
7 Correct 1 ms 460 KB Output is correct
8 Correct 2 ms 600 KB Output is correct
9 Correct 3 ms 600 KB Output is correct
10 Correct 3 ms 944 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 3 ms 920 KB Output is correct
13 Correct 3 ms 600 KB Output is correct
14 Correct 3 ms 1112 KB Output is correct
15 Correct 3 ms 600 KB Output is correct
16 Correct 2 ms 856 KB Output is correct
17 Correct 2 ms 664 KB Output is correct
18 Correct 4 ms 564 KB Output is correct
19 Correct 3 ms 600 KB Output is correct
20 Correct 3 ms 772 KB Output is correct
21 Correct 2 ms 600 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 8 ms 1368 KB Output is correct
24 Correct 6 ms 1880 KB Output is correct
25 Correct 16 ms 2904 KB Output is correct
26 Correct 17 ms 3684 KB Output is correct
27 Correct 14 ms 2848 KB Output is correct
28 Correct 7 ms 1816 KB Output is correct
29 Correct 15 ms 2684 KB Output is correct
30 Correct 21 ms 3724 KB Output is correct
31 Correct 9 ms 2132 KB Output is correct
32 Correct 12 ms 2688 KB Output is correct
33 Correct 13 ms 2824 KB Output is correct
34 Correct 13 ms 2900 KB Output is correct
35 Correct 12 ms 2752 KB Output is correct
36 Correct 14 ms 2672 KB Output is correct
37 Correct 21 ms 2980 KB Output is correct
38 Correct 20 ms 3756 KB Output is correct
39 Correct 15 ms 2972 KB Output is correct
40 Correct 11 ms 2388 KB Output is correct
41 Correct 6 ms 2136 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 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 17 ms 5052 KB Output is correct
8 Correct 15 ms 4768 KB Output is correct
9 Correct 30 ms 9080 KB Output is correct
10 Correct 44 ms 11700 KB Output is correct
11 Correct 33 ms 9248 KB Output is correct
12 Correct 20 ms 6588 KB Output is correct
13 Partially correct 33 ms 9724 KB Output is partially correct
14 Correct 41 ms 11508 KB Output is correct
15 Correct 22 ms 6532 KB Output is correct
16 Correct 24 ms 7520 KB Output is correct
17 Correct 26 ms 7288 KB Output is correct
18 Correct 26 ms 7480 KB Output is correct
19 Correct 26 ms 7952 KB Output is correct
20 Correct 37 ms 8640 KB Output is correct
21 Correct 45 ms 11404 KB Output is correct
22 Correct 39 ms 11844 KB Output is correct
23 Correct 48 ms 12224 KB Output is correct
24 Correct 42 ms 11344 KB Output is correct
25 Correct 22 ms 7264 KB Output is correct
26 Correct 15 ms 4632 KB Output is correct
27 Correct 30 ms 9932 KB Output is correct
28 Correct 31 ms 9228 KB Output is correct
29 Correct 28 ms 8320 KB Output is correct
30 Correct 29 ms 7828 KB Output is correct
31 Correct 38 ms 10708 KB Output is correct
32 Correct 39 ms 11588 KB Output is correct
33 Correct 43 ms 12200 KB Output is correct
34 Correct 42 ms 12284 KB Output is correct
35 Correct 34 ms 9704 KB Output is correct
36 Correct 32 ms 9404 KB Output is correct
37 Correct 38 ms 10220 KB Output is correct
38 Correct 38 ms 10832 KB Output is correct
39 Correct 34 ms 10272 KB Output is correct
40 Correct 33 ms 10172 KB Output is correct
41 Correct 30 ms 9556 KB Output is correct
42 Correct 31 ms 9992 KB Output is correct
43 Correct 7 ms 1368 KB Output is correct
44 Correct 34 ms 9528 KB Output is correct
45 Correct 17 ms 5496 KB Output is correct
46 Correct 18 ms 5988 KB Output is correct
47 Correct 21 ms 6708 KB Output is correct
48 Correct 22 ms 6052 KB Output is correct