Submission #303582

# Submission time Handle Problem Language Result Execution time Memory
303582 2020-09-20T13:03:15 Z jtnydv25 Counting Mushrooms (IOI20_mushrooms) C++17
25 / 100
855 ms 632 KB
#include "mushrooms.h"
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define pii pair<int, int>
#define F first
#define S second
#define all(c) ((c).begin()), ((c).end())
#define sz(x) ((int)(x).size())
#define ld long double

template<class T,class U>
ostream& operator<<(ostream& os,const pair<T,U>& p){
	os<<"("<<p.first<<", "<<p.second<<")";
	return os;
}

template<class T>
ostream& operator <<(ostream& os,const vector<T>& v){
	os<<"{";
	for(int i = 0;i < (int)v.size(); i++){
		if(i)os<<", ";
		os<<v[i];
	}
	os<<"}";
	return os;
}

#ifdef LOCAL
#define cerr cout
#else
#endif

#define TRACE

#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
	cerr << name << " : " << arg1 << std::endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
	const char* comma = strchr(names + 1, ',');cerr.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...);
}
#else
#define trace(...)
#endif



const int M = 8;

int val[200005];
struct node{
	vector<int> states;
	node* res[M];
	vector<int> ask;
	int maxQueries;
	node(){
		for(int i = 0; i < M; i++) res[i] = NULL;
		maxQueries = 0;
	}
	void compute(){
		int n = states.size();
		if(n == 1) return;
		maxQueries = 1;
		int mn = 1 << 20;
		for(int mask = 1; mask < (1 << M); mask++){
			vector<int> perm;
            for(int j = 0; j < M; j++) if(mask >> j & 1) perm.push_back(j);
            if(((int)perm.size()) == 1) continue;
            do{
                vector<int> num(M);
                for(int s : states){
                    int r = 0;
                    for(int j = 0; j + 1 < (int)perm.size(); j++) r += (s >> perm[j] & 1) != (s >> perm[j + 1] & 1);
                    num[r]++;
                }
                int V = *max_element(num.begin(), num.end());
                if(V < mn){
                    mn = V;
                    ask = perm;
                }
            }while(next_permutation(perm.begin(), perm.end()));
		}
        vector<int> perm = ask;

		vector<vector<int>> childStates(M);
		
        for(int s : states){
            int r = 0;
            for(int j = 0; j + 1 < (int)perm.size(); j++) r += (s >> perm[j] & 1) != (s >> perm[j + 1] & 1);
            childStates[r].push_back(s);
        }
		for(int i = 0; i < M; i++){
			if(!childStates[i].empty()){
				res[i] = new node();
				res[i]->states = childStates[i];
				res[i]->compute();
				maxQueries = max(maxQueries, res[i]->maxQueries + 1);
			}
		}
	}
    void get(vector<int> positions){
        if((int)states.size() == 1){
            for(int i = 0; i < M; i++) val[positions[i]] = states[0] >> i & 1;
            return;
        }

        vector<int> x;
        for(int i : ask) x.push_back(positions[i]);
        res[use_machine(x)]->get(positions);
    }
};

int get(int pos){
    return val[pos] = use_machine({0, pos});
}

struct decision_tree{
	node * root;
	decision_tree(){
		root = new node();
		for(int i = 0; i < (1 << M); i+=2) root->states.push_back(i);
		root->compute();
	}
    void get(vector<int> positions){
        root->get(positions);
    }
};

const int K = 6;

int count_mushrooms(int N) {
	decision_tree DT;
    int n = min(N, K);
    // int n = N;
    // for(int j = 1; j < N; j++) get(j);
    for(int i = 1; i < n; i += M - 1){
        int st = i, en = i + M - 2;
        if(en < n){
            vector<int> positions = {0};
            for(int j = st; j <= en; j++) positions.push_back(j);
            DT.get(positions);
        } else{
            for(int j = st; j < n; j++) get(j);
        }
    }

    int curr = n - accumulate(val, val + n, 0);
    if(n == N) return curr;
	vector<vector<int>> where(2);
    for(int i = 0; i < n; i++) where[val[i]].push_back(i);
    int id = (int)where[1].size() > (int) where[0].size();
    int R = where[id].size() - 1;
    for(int i = n; i < N; i += R){
        int st = i, en = min(N - 1, i + R - 1);
        vector<int> positions = {where[id][0]};
        for(int j = 0; j <= en - st; j++){
            positions.push_back(st + j);
            positions.push_back(where[id][j + 1]);
        }
        int V = use_machine(positions);
        assert(V % 2 == 0);
        V /= 2;
        if(id == 1) curr += V;
        else curr += en - st + 1 - V;
    }
    return curr;
}
# Verdict Execution time Memory Grader output
1 Correct 599 ms 496 KB Output is correct
2 Correct 601 ms 372 KB Output is correct
3 Correct 621 ms 408 KB Output is correct
4 Correct 668 ms 504 KB Output is correct
5 Correct 605 ms 392 KB Output is correct
6 Partially correct 622 ms 520 KB Output is partially correct
7 Partially correct 711 ms 384 KB Output is partially correct
8 Partially correct 673 ms 364 KB Output is partially correct
9 Partially correct 681 ms 376 KB Output is partially correct
10 Partially correct 708 ms 384 KB Output is partially correct
11 Partially correct 667 ms 392 KB Output is partially correct
12 Partially correct 731 ms 504 KB Output is partially correct
13 Partially correct 738 ms 504 KB Output is partially correct
14 Partially correct 674 ms 396 KB Output is partially correct
15 Partially correct 770 ms 500 KB Output is partially correct
16 Partially correct 709 ms 516 KB Output is partially correct
17 Partially correct 631 ms 376 KB Output is partially correct
18 Partially correct 732 ms 384 KB Output is partially correct
19 Partially correct 756 ms 388 KB Output is partially correct
20 Partially correct 757 ms 396 KB Output is partially correct
21 Partially correct 715 ms 628 KB Output is partially correct
22 Partially correct 771 ms 368 KB Output is partially correct
23 Partially correct 701 ms 504 KB Output is partially correct
24 Partially correct 638 ms 396 KB Output is partially correct
25 Partially correct 733 ms 496 KB Output is partially correct
26 Partially correct 785 ms 516 KB Output is partially correct
27 Partially correct 802 ms 504 KB Output is partially correct
28 Partially correct 787 ms 384 KB Output is partially correct
29 Partially correct 674 ms 492 KB Output is partially correct
30 Partially correct 764 ms 504 KB Output is partially correct
31 Partially correct 709 ms 368 KB Output is partially correct
32 Partially correct 713 ms 500 KB Output is partially correct
33 Partially correct 756 ms 368 KB Output is partially correct
34 Partially correct 720 ms 504 KB Output is partially correct
35 Partially correct 833 ms 516 KB Output is partially correct
36 Partially correct 826 ms 368 KB Output is partially correct
37 Partially correct 823 ms 372 KB Output is partially correct
38 Partially correct 824 ms 376 KB Output is partially correct
39 Partially correct 803 ms 384 KB Output is partially correct
40 Partially correct 692 ms 628 KB Output is partially correct
41 Partially correct 847 ms 504 KB Output is partially correct
42 Partially correct 789 ms 392 KB Output is partially correct
43 Partially correct 695 ms 376 KB Output is partially correct
44 Partially correct 827 ms 404 KB Output is partially correct
45 Partially correct 824 ms 516 KB Output is partially correct
46 Partially correct 782 ms 380 KB Output is partially correct
47 Partially correct 848 ms 396 KB Output is partially correct
48 Partially correct 755 ms 384 KB Output is partially correct
49 Partially correct 838 ms 376 KB Output is partially correct
50 Partially correct 855 ms 364 KB Output is partially correct
51 Partially correct 781 ms 384 KB Output is partially correct
52 Partially correct 786 ms 384 KB Output is partially correct
53 Partially correct 742 ms 496 KB Output is partially correct
54 Partially correct 712 ms 368 KB Output is partially correct
55 Partially correct 829 ms 516 KB Output is partially correct
56 Partially correct 758 ms 524 KB Output is partially correct
57 Partially correct 742 ms 372 KB Output is partially correct
58 Partially correct 754 ms 392 KB Output is partially correct
59 Partially correct 777 ms 492 KB Output is partially correct
60 Partially correct 727 ms 384 KB Output is partially correct
61 Partially correct 746 ms 376 KB Output is partially correct
62 Correct 692 ms 624 KB Output is correct
63 Correct 638 ms 400 KB Output is correct
64 Correct 668 ms 500 KB Output is correct
65 Correct 603 ms 392 KB Output is correct
66 Correct 605 ms 376 KB Output is correct
67 Correct 618 ms 376 KB Output is correct
68 Correct 609 ms 504 KB Output is correct
69 Correct 606 ms 396 KB Output is correct
70 Correct 673 ms 376 KB Output is correct
71 Correct 667 ms 632 KB Output is correct
72 Correct 609 ms 624 KB Output is correct
73 Correct 587 ms 376 KB Output is correct
74 Correct 625 ms 376 KB Output is correct
75 Correct 628 ms 368 KB Output is correct
76 Correct 594 ms 376 KB Output is correct
77 Correct 603 ms 496 KB Output is correct
78 Correct 601 ms 396 KB Output is correct
79 Correct 637 ms 508 KB Output is correct
80 Correct 632 ms 392 KB Output is correct
81 Correct 674 ms 508 KB Output is correct
82 Correct 673 ms 508 KB Output is correct
83 Correct 678 ms 504 KB Output is correct
84 Correct 615 ms 376 KB Output is correct
85 Correct 644 ms 500 KB Output is correct
86 Correct 632 ms 380 KB Output is correct
87 Correct 607 ms 364 KB Output is correct
88 Correct 603 ms 368 KB Output is correct
89 Correct 628 ms 372 KB Output is correct
90 Correct 637 ms 376 KB Output is correct
91 Correct 632 ms 368 KB Output is correct