oj.uz

Submission #971109

# Submission time Handle Problem Language Result Execution time Memory
971109 2024-04-28T01:04:21 Z maksim1744 Rarest Insects (IOI22_insects) C++17
99.95 / 100
 48 ms 12168 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;
    for (int i : cur)
        left.erase(i);
    clear();
    m = 1;
    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:153:28: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  153 |             if (cur.size() == (C - m) * dif) {
      |                 ~~~~~~~~~~~^~~~~~~~~~~~~~~~
insects.cpp:156:36: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  156 |             if (cur.size() + cleft < (C - m) * dif) {
      |                 ~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~
insects.cpp:169:24: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  169 |         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 340 KB Output is correct
4 Correct 0 ms 596 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 3 ms 1400 KB Output is correct
9 Correct 3 ms 892 KB Output is correct
10 Correct 2 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 3 ms 856 KB Output is correct
13 Correct 3 ms 1112 KB Output is correct
14 Correct 2 ms 856 KB Output is correct
15 Correct 2 ms 344 KB Output is correct
16 Correct 3 ms 1112 KB Output is correct
17 Correct 3 ms 344 KB Output is correct
18 Correct 3 ms 1112 KB Output is correct
19 Correct 3 ms 600 KB Output is correct
20 Correct 2 ms 344 KB Output is correct
21 Correct 2 ms 988 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 340 KB Output is correct
4 Correct 0 ms 596 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 3 ms 1400 KB Output is correct
9 Correct 3 ms 892 KB Output is correct
10 Correct 2 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 3 ms 856 KB Output is correct
13 Correct 3 ms 1112 KB Output is correct
14 Correct 2 ms 856 KB Output is correct
15 Correct 2 ms 344 KB Output is correct
16 Correct 3 ms 1112 KB Output is correct
17 Correct 3 ms 344 KB Output is correct
18 Correct 3 ms 1112 KB Output is correct
19 Correct 3 ms 600 KB Output is correct
20 Correct 2 ms 344 KB Output is correct
21 Correct 2 ms 988 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 7 ms 1624 KB Output is correct
24 Correct 6 ms 2028 KB Output is correct
25 Correct 13 ms 3180 KB Output is correct
26 Correct 19 ms 2952 KB Output is correct
27 Correct 13 ms 3308 KB Output is correct
28 Correct 6 ms 1624 KB Output is correct
29 Correct 16 ms 2632 KB Output is correct
30 Correct 16 ms 3552 KB Output is correct
31 Correct 11 ms 2644 KB Output is correct
32 Correct 13 ms 2684 KB Output is correct
33 Correct 14 ms 3612 KB Output is correct
34 Correct 12 ms 2944 KB Output is correct
35 Correct 13 ms 2932 KB Output is correct
36 Correct 17 ms 3676 KB Output is correct
37 Correct 16 ms 3672 KB Output is correct
38 Correct 16 ms 3416 KB Output is correct
39 Correct 14 ms 3056 KB Output is correct
40 Correct 10 ms 2128 KB Output is correct
41 Correct 7 ms 2136 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 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 16 ms 4952 KB Output is correct
8 Correct 14 ms 4800 KB Output is correct
9 Correct 31 ms 9664 KB Output is correct
10 Correct 39 ms 11436 KB Output is correct
11 Correct 30 ms 9116 KB Output is correct
12 Correct 16 ms 5300 KB Output is correct
13 Correct 36 ms 9760 KB Output is correct
14 Correct 41 ms 10940 KB Output is correct
15 Correct 23 ms 7268 KB Output is correct
16 Correct 28 ms 8092 KB Output is correct
17 Correct 24 ms 7824 KB Output is correct
18 Correct 32 ms 9064 KB Output is correct
19 Correct 34 ms 9672 KB Output is correct
20 Correct 32 ms 9524 KB Output is correct
21 Correct 48 ms 11064 KB Output is correct
22 Correct 46 ms 12168 KB Output is correct
23 Correct 38 ms 10984 KB Output is correct
24 Correct 41 ms 9708 KB Output is correct
25 Correct 21 ms 6424 KB Output is correct
26 Correct 14 ms 4924 KB Output is correct
27 Correct 35 ms 10568 KB Output is correct
28 Correct 27 ms 8684 KB Output is correct
29 Correct 41 ms 10680 KB Output is correct
30 Correct 34 ms 10388 KB Output is correct
31 Correct 33 ms 9628 KB Output is correct
32 Correct 39 ms 11312 KB Output is correct
33 Correct 37 ms 10012 KB Output is correct
34 Correct 34 ms 9676 KB Output is correct
35 Partially correct 46 ms 11116 KB Output is partially correct
36 Correct 38 ms 9904 KB Output is correct
37 Correct 33 ms 10276 KB Output is correct
38 Correct 33 ms 9912 KB Output is correct
39 Correct 38 ms 10776 KB Output is correct
40 Correct 27 ms 8508 KB Output is correct
41 Correct 35 ms 10116 KB Output is correct
42 Partially correct 44 ms 10744 KB Output is partially correct
43 Correct 7 ms 1428 KB Output is correct
44 Correct 29 ms 8628 KB Output is correct
45 Correct 16 ms 5252 KB Output is correct
46 Correct 14 ms 5448 KB Output is correct
47 Correct 15 ms 4936 KB Output is correct
48 Correct 19 ms 4828 KB Output is correct