oj.uz

Submission #971102

# Submission time Handle Problem Language Result Execution time Memory
971102 2024-04-28T00:56:36 Z maksim1744 Rarest Insects (IOI22_insects) C++17
99.99 / 100
 48 ms 12524 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(11111);

    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 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 340 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 2 ms 600 KB Output is correct
9 Correct 3 ms 856 KB Output is correct
10 Correct 3 ms 856 KB Output is correct
11 Correct 1 ms 448 KB Output is correct
12 Correct 3 ms 856 KB Output is correct
13 Correct 3 ms 856 KB Output is correct
14 Correct 2 ms 532 KB Output is correct
15 Correct 2 ms 600 KB Output is correct
16 Correct 3 ms 600 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 344 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 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 0 ms 344 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 2 ms 600 KB Output is correct
9 Correct 3 ms 856 KB Output is correct
10 Correct 3 ms 856 KB Output is correct
11 Correct 1 ms 448 KB Output is correct
12 Correct 3 ms 856 KB Output is correct
13 Correct 3 ms 856 KB Output is correct
14 Correct 2 ms 532 KB Output is correct
15 Correct 2 ms 600 KB Output is correct
16 Correct 3 ms 600 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 344 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 344 KB Output is correct
23 Correct 7 ms 1880 KB Output is correct
24 Correct 6 ms 1724 KB Output is correct
25 Correct 12 ms 3208 KB Output is correct
26 Correct 15 ms 3392 KB Output is correct
27 Correct 14 ms 2884 KB Output is correct
28 Correct 7 ms 1816 KB Output is correct
29 Correct 15 ms 3152 KB Output is correct
30 Correct 16 ms 3888 KB Output is correct
31 Correct 10 ms 2388 KB Output is correct
32 Correct 12 ms 2332 KB Output is correct
33 Correct 12 ms 3008 KB Output is correct
34 Correct 14 ms 3216 KB Output is correct
35 Correct 12 ms 2912 KB Output is correct
36 Correct 14 ms 3160 KB Output is correct
37 Correct 19 ms 3400 KB Output is correct
38 Correct 16 ms 3904 KB Output is correct
39 Correct 15 ms 3156 KB Output is correct
40 Correct 10 ms 3176 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 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 0 ms 344 KB Output is correct
7 Correct 17 ms 5196 KB Output is correct
8 Correct 13 ms 5068 KB Output is correct
9 Correct 31 ms 8520 KB Output is correct
10 Correct 43 ms 11520 KB Output is correct
11 Correct 31 ms 9052 KB Output is correct
12 Correct 20 ms 6044 KB Output is correct
13 Partially correct 36 ms 9492 KB Output is partially correct
14 Correct 40 ms 11044 KB Output is correct
15 Correct 21 ms 7136 KB Output is correct
16 Correct 27 ms 7840 KB Output is correct
17 Correct 31 ms 7536 KB Output is correct
18 Correct 28 ms 8400 KB Output is correct
19 Correct 26 ms 8136 KB Output is correct
20 Correct 30 ms 8664 KB Output is correct
21 Correct 43 ms 11692 KB Output is correct
22 Correct 39 ms 11372 KB Output is correct
23 Correct 41 ms 11668 KB Output is correct
24 Correct 36 ms 10736 KB Output is correct
25 Correct 23 ms 7276 KB Output is correct
26 Correct 14 ms 5204 KB Output is correct
27 Correct 28 ms 9128 KB Output is correct
28 Correct 32 ms 8836 KB Output is correct
29 Correct 28 ms 8528 KB Output is correct
30 Correct 31 ms 8800 KB Output is correct
31 Correct 39 ms 11356 KB Output is correct
32 Correct 38 ms 11940 KB Output is correct
33 Correct 44 ms 12524 KB Output is correct
34 Correct 48 ms 11728 KB Output is correct
35 Correct 30 ms 9364 KB Output is correct
36 Correct 30 ms 9640 KB Output is correct
37 Correct 38 ms 10984 KB Output is correct
38 Correct 38 ms 11008 KB Output is correct
39 Correct 37 ms 9712 KB Output is correct
40 Correct 40 ms 9584 KB Output is correct
41 Correct 31 ms 10148 KB Output is correct
42 Correct 36 ms 9308 KB Output is correct
43 Correct 8 ms 1624 KB Output is correct
44 Partially correct 38 ms 8484 KB Output is partially correct
45 Correct 17 ms 5444 KB Output is correct
46 Correct 19 ms 6224 KB Output is correct
47 Correct 20 ms 6788 KB Output is correct
48 Correct 18 ms 5992 KB Output is correct