Submission #303599

# Submission time Handle Problem Language Result Execution time Memory
303599 2020-09-20T13:12:09 Z jtnydv25 Counting Mushrooms (IOI20_mushrooms) C++17
81.5884 / 100
943 ms 656 KB
#include "mushrooms.h"
#include <bits/stdc++.h>
using namespace std;
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 = 400;
 
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 649 ms 380 KB Output is correct
2 Correct 591 ms 520 KB Output is correct
3 Correct 604 ms 384 KB Output is correct
4 Correct 606 ms 376 KB Output is correct
5 Correct 596 ms 528 KB Output is correct
6 Correct 759 ms 512 KB Output is correct
7 Correct 602 ms 492 KB Output is correct
8 Correct 657 ms 640 KB Output is correct
9 Correct 600 ms 492 KB Output is correct
10 Partially correct 614 ms 508 KB Output is partially correct
11 Partially correct 592 ms 412 KB Output is partially correct
12 Partially correct 610 ms 496 KB Output is partially correct
13 Correct 602 ms 376 KB Output is correct
14 Correct 593 ms 376 KB Output is correct
15 Partially correct 582 ms 504 KB Output is partially correct
16 Partially correct 593 ms 492 KB Output is partially correct
17 Correct 607 ms 384 KB Output is correct
18 Correct 607 ms 376 KB Output is correct
19 Partially correct 698 ms 656 KB Output is partially correct
20 Partially correct 598 ms 504 KB Output is partially correct
21 Partially correct 681 ms 504 KB Output is partially correct
22 Partially correct 597 ms 380 KB Output is partially correct
23 Correct 596 ms 376 KB Output is correct
24 Partially correct 603 ms 376 KB Output is partially correct
25 Partially correct 602 ms 376 KB Output is partially correct
26 Partially correct 652 ms 624 KB Output is partially correct
27 Partially correct 618 ms 504 KB Output is partially correct
28 Partially correct 597 ms 632 KB Output is partially correct
29 Partially correct 628 ms 504 KB Output is partially correct
30 Partially correct 601 ms 492 KB Output is partially correct
31 Partially correct 604 ms 376 KB Output is partially correct
32 Partially correct 653 ms 376 KB Output is partially correct
33 Partially correct 592 ms 504 KB Output is partially correct
34 Partially correct 732 ms 408 KB Output is partially correct
35 Partially correct 597 ms 368 KB Output is partially correct
36 Partially correct 621 ms 376 KB Output is partially correct
37 Partially correct 686 ms 392 KB Output is partially correct
38 Partially correct 648 ms 404 KB Output is partially correct
39 Partially correct 632 ms 412 KB Output is partially correct
40 Partially correct 668 ms 500 KB Output is partially correct
41 Partially correct 631 ms 368 KB Output is partially correct
42 Partially correct 649 ms 408 KB Output is partially correct
43 Partially correct 625 ms 372 KB Output is partially correct
44 Partially correct 618 ms 496 KB Output is partially correct
45 Partially correct 607 ms 504 KB Output is partially correct
46 Partially correct 605 ms 364 KB Output is partially correct
47 Partially correct 597 ms 364 KB Output is partially correct
48 Partially correct 608 ms 412 KB Output is partially correct
49 Partially correct 628 ms 524 KB Output is partially correct
50 Partially correct 630 ms 364 KB Output is partially correct
51 Partially correct 596 ms 512 KB Output is partially correct
52 Partially correct 593 ms 404 KB Output is partially correct
53 Partially correct 769 ms 508 KB Output is partially correct
54 Partially correct 652 ms 408 KB Output is partially correct
55 Partially correct 641 ms 376 KB Output is partially correct
56 Partially correct 655 ms 412 KB Output is partially correct
57 Partially correct 643 ms 504 KB Output is partially correct
58 Partially correct 627 ms 368 KB Output is partially correct
59 Partially correct 621 ms 416 KB Output is partially correct
60 Correct 617 ms 496 KB Output is correct
61 Correct 612 ms 492 KB Output is correct
62 Correct 589 ms 376 KB Output is correct
63 Correct 597 ms 388 KB Output is correct
64 Correct 605 ms 372 KB Output is correct
65 Correct 609 ms 376 KB Output is correct
66 Correct 712 ms 504 KB Output is correct
67 Correct 609 ms 376 KB Output is correct
68 Correct 614 ms 376 KB Output is correct
69 Correct 620 ms 376 KB Output is correct
70 Correct 913 ms 496 KB Output is correct
71 Correct 601 ms 372 KB Output is correct
72 Correct 579 ms 372 KB Output is correct
73 Correct 590 ms 376 KB Output is correct
74 Correct 601 ms 372 KB Output is correct
75 Correct 586 ms 376 KB Output is correct
76 Correct 636 ms 368 KB Output is correct
77 Correct 582 ms 376 KB Output is correct
78 Correct 943 ms 388 KB Output is correct
79 Correct 714 ms 496 KB Output is correct
80 Correct 591 ms 376 KB Output is correct
81 Correct 630 ms 492 KB Output is correct
82 Correct 632 ms 496 KB Output is correct
83 Correct 605 ms 380 KB Output is correct
84 Correct 629 ms 500 KB Output is correct
85 Correct 612 ms 376 KB Output is correct
86 Correct 648 ms 504 KB Output is correct
87 Correct 627 ms 376 KB Output is correct
88 Correct 589 ms 376 KB Output is correct
89 Correct 609 ms 396 KB Output is correct
90 Correct 608 ms 364 KB Output is correct
91 Correct 606 ms 372 KB Output is correct