oj.uz

Submission #971099

# Submission time Handle Problem Language Result Execution time Memory
971099 2024-04-28T00:55:17 Z maksim1744 Rarest Insects (IOI22_insects) C++17
99.98 / 100
 48 ms 12152 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(1293792);

    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 = 127; 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 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 600 KB Output is correct
9 Correct 3 ms 1308 KB Output is correct
10 Correct 2 ms 484 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 3 ms 600 KB Output is correct
13 Correct 3 ms 724 KB Output is correct
14 Correct 2 ms 1108 KB Output is correct
15 Correct 3 ms 600 KB Output is correct
16 Correct 3 ms 992 KB Output is correct
17 Correct 3 ms 856 KB Output is correct
18 Correct 3 ms 600 KB Output is correct
19 Correct 3 ms 600 KB Output is correct
20 Correct 3 ms 856 KB Output is correct
21 Correct 2 ms 600 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 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 600 KB Output is correct
9 Correct 3 ms 1308 KB Output is correct
10 Correct 2 ms 484 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 3 ms 600 KB Output is correct
13 Correct 3 ms 724 KB Output is correct
14 Correct 2 ms 1108 KB Output is correct
15 Correct 3 ms 600 KB Output is correct
16 Correct 3 ms 992 KB Output is correct
17 Correct 3 ms 856 KB Output is correct
18 Correct 3 ms 600 KB Output is correct
19 Correct 3 ms 600 KB Output is correct
20 Correct 3 ms 856 KB Output is correct
21 Correct 2 ms 600 KB Output is correct
22 Correct 1 ms 600 KB Output is correct
23 Correct 8 ms 1652 KB Output is correct
24 Correct 6 ms 1880 KB Output is correct
25 Correct 12 ms 2700 KB Output is correct
26 Correct 17 ms 3744 KB Output is correct
27 Correct 14 ms 2988 KB Output is correct
28 Correct 8 ms 1880 KB Output is correct
29 Correct 15 ms 3036 KB Output is correct
30 Correct 17 ms 3336 KB Output is correct
31 Correct 9 ms 2392 KB Output is correct
32 Correct 11 ms 2136 KB Output is correct
33 Correct 14 ms 2948 KB Output is correct
34 Correct 11 ms 2384 KB Output is correct
35 Correct 14 ms 3600 KB Output is correct
36 Correct 14 ms 3184 KB Output is correct
37 Correct 16 ms 3864 KB Output is correct
38 Correct 18 ms 3316 KB Output is correct
39 Correct 15 ms 3156 KB Output is correct
40 Correct 11 ms 2136 KB Output is correct
41 Correct 9 ms 2360 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 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 17 ms 5076 KB Output is correct
8 Correct 14 ms 5200 KB Output is correct
9 Correct 27 ms 8528 KB Output is correct
10 Correct 37 ms 11316 KB Output is correct
11 Correct 32 ms 9440 KB Output is correct
12 Correct 20 ms 6208 KB Output is correct
13 Partially correct 35 ms 9260 KB Output is partially correct
14 Correct 43 ms 11480 KB Output is correct
15 Correct 22 ms 7036 KB Output is correct
16 Correct 23 ms 6388 KB Output is correct
17 Correct 26 ms 7976 KB Output is correct
18 Correct 26 ms 8576 KB Output is correct
19 Correct 23 ms 7936 KB Output is correct
20 Correct 28 ms 8640 KB Output is correct
21 Correct 37 ms 11304 KB Output is correct
22 Correct 38 ms 11232 KB Output is correct
23 Correct 40 ms 11804 KB Output is correct
24 Correct 42 ms 10636 KB Output is correct
25 Correct 25 ms 7452 KB Output is correct
26 Correct 14 ms 4724 KB Output is correct
27 Correct 29 ms 8904 KB Output is correct
28 Correct 29 ms 9204 KB Output is correct
29 Correct 29 ms 8440 KB Output is correct
30 Correct 27 ms 8288 KB Output is correct
31 Correct 39 ms 10992 KB Output is correct
32 Correct 48 ms 12152 KB Output is correct
33 Correct 48 ms 11876 KB Output is correct
34 Correct 45 ms 12016 KB Output is correct
35 Correct 36 ms 9696 KB Output is correct
36 Correct 31 ms 9360 KB Output is correct
37 Correct 37 ms 10884 KB Output is correct
38 Correct 39 ms 10764 KB Output is correct
39 Correct 35 ms 10048 KB Output is correct
40 Correct 33 ms 10008 KB Output is correct
41 Correct 36 ms 9336 KB Output is correct
42 Correct 35 ms 8944 KB Output is correct
43 Correct 8 ms 2212 KB Output is correct
44 Correct 31 ms 8704 KB Output is correct
45 Correct 17 ms 5552 KB Output is correct
46 Correct 20 ms 6100 KB Output is correct
47 Correct 18 ms 6224 KB Output is correct
48 Correct 19 ms 6096 KB Output is correct