답안 #971094

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
971094 2024-04-28T00:42:15 Z maksim1744 드문 곤충 (IOI22_insects) C++17
99.84 / 100
36 ms 1876 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) {
    set<int> cur;
    map<set<int>, int> mem;
    auto add = [&](int i) {
        if (cur.count(i)) return;
        cur.insert(i);
        move_inside(i);
    };
    auto rem = [&](int i) {
        if (!cur.count(i)) return;
        cur.erase(i);
        move_outside(i);
    };
    auto ask = [&]() -> int {
        if (cur.size() <= 1) return cur.size();
        // if (mem.count(cur)) return mem[cur];
        // return mem[cur] = press_button();
        return press_button();
    };
    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 + 0) / 2;
        while (C <= L) ++C;
        while (C >= R) --C;
        int cleft = left.size();
        for (int i : left) {
            add(i);
            if (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 (u > i)
                        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;
    while (T--) {
        int C = rnd(1, n);
        // 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 << "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:113:20: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  113 |     if (cur.size() == n) return 1;
      |         ~~~~~~~~~~~^~~~
insects.cpp:121:27: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  121 |     while (R * cur.size() <= n) ++R;
      |            ~~~~~~~~~~~~~~~^~~~
insects.cpp:133:28: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  133 |             if (cur.size() == (C - m) * dif) {
      |                 ~~~~~~~~~~~^~~~~~~~~~~~~~~~
insects.cpp:136:36: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  136 |             if (cur.size() + cleft < (C - m) * dif) {
      |                 ~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~
insects.cpp:144:24: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  144 |         if (cur.size() == (C - m) * dif) {
      |             ~~~~~~~~~~~^~~~~~~~~~~~~~~~
# 결과 실행 시간 메모리 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 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 2 ms 600 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 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 3 ms 600 KB Output is correct
13 Correct 3 ms 600 KB Output is correct
14 Correct 2 ms 344 KB Output is correct
15 Correct 2 ms 344 KB Output is correct
16 Correct 3 ms 852 KB Output is correct
17 Correct 3 ms 696 KB Output is correct
18 Correct 3 ms 600 KB Output is correct
19 Correct 2 ms 600 KB Output is correct
20 Correct 2 ms 600 KB Output is correct
21 Correct 2 ms 600 KB Output is correct
22 Correct 1 ms 600 KB Output is correct
# 결과 실행 시간 메모리 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 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 2 ms 600 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 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 3 ms 600 KB Output is correct
13 Correct 3 ms 600 KB Output is correct
14 Correct 2 ms 344 KB Output is correct
15 Correct 2 ms 344 KB Output is correct
16 Correct 3 ms 852 KB Output is correct
17 Correct 3 ms 696 KB Output is correct
18 Correct 3 ms 600 KB Output is correct
19 Correct 2 ms 600 KB Output is correct
20 Correct 2 ms 600 KB Output is correct
21 Correct 2 ms 600 KB Output is correct
22 Correct 1 ms 600 KB Output is correct
23 Correct 9 ms 692 KB Output is correct
24 Correct 4 ms 856 KB Output is correct
25 Correct 10 ms 600 KB Output is correct
26 Correct 12 ms 692 KB Output is correct
27 Correct 10 ms 848 KB Output is correct
28 Correct 5 ms 860 KB Output is correct
29 Correct 14 ms 856 KB Output is correct
30 Correct 15 ms 748 KB Output is correct
31 Correct 14 ms 668 KB Output is correct
32 Correct 10 ms 856 KB Output is correct
33 Correct 12 ms 660 KB Output is correct
34 Correct 12 ms 600 KB Output is correct
35 Correct 12 ms 856 KB Output is correct
36 Correct 12 ms 912 KB Output is correct
37 Correct 12 ms 856 KB Output is correct
38 Correct 11 ms 856 KB Output is correct
39 Correct 12 ms 696 KB Output is correct
40 Correct 10 ms 1220 KB Output is correct
41 Correct 7 ms 600 KB Output is correct
# 결과 실행 시간 메모리 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 1 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 18 ms 1384 KB Output is correct
8 Correct 13 ms 956 KB Output is correct
9 Correct 21 ms 672 KB Output is correct
10 Correct 31 ms 692 KB Output is correct
11 Correct 25 ms 984 KB Output is correct
12 Correct 14 ms 1364 KB Output is correct
13 Partially correct 23 ms 788 KB Output is partially correct
14 Correct 25 ms 672 KB Output is correct
15 Correct 20 ms 1124 KB Output is correct
16 Correct 27 ms 1104 KB Output is correct
17 Correct 23 ms 1112 KB Output is correct
18 Correct 25 ms 600 KB Output is correct
19 Correct 21 ms 1616 KB Output is correct
20 Correct 26 ms 920 KB Output is correct
21 Correct 28 ms 844 KB Output is correct
22 Partially correct 27 ms 1104 KB Output is partially correct
23 Correct 29 ms 952 KB Output is correct
24 Correct 26 ms 1112 KB Output is correct
25 Correct 22 ms 1876 KB Output is correct
26 Correct 11 ms 956 KB Output is correct
27 Correct 30 ms 948 KB Output is correct
28 Correct 16 ms 932 KB Output is correct
29 Partially correct 31 ms 848 KB Output is partially correct
30 Partially correct 35 ms 848 KB Output is partially correct
31 Correct 31 ms 1192 KB Output is correct
32 Correct 23 ms 848 KB Output is correct
33 Correct 29 ms 972 KB Output is correct
34 Correct 36 ms 928 KB Output is correct
35 Partially correct 29 ms 600 KB Output is partially correct
36 Correct 23 ms 964 KB Output is correct
37 Correct 32 ms 1104 KB Output is correct
38 Correct 26 ms 1200 KB Output is correct
39 Correct 33 ms 1204 KB Output is correct
40 Correct 22 ms 1012 KB Output is correct
41 Correct 22 ms 1104 KB Output is correct
42 Partially correct 29 ms 672 KB Output is partially correct
43 Correct 7 ms 600 KB Output is correct
44 Partially correct 25 ms 764 KB Output is partially correct
45 Correct 17 ms 1104 KB Output is correct
46 Correct 14 ms 684 KB Output is correct
47 Correct 16 ms 784 KB Output is correct
48 Correct 16 ms 848 KB Output is correct