Submission #303597

# Submission time Handle Problem Language Result Execution time Memory
303597 2020-09-20T13:11:35 Z jtnydv25 Counting Mushrooms (IOI20_mushrooms) C++17
77.3973 / 100
813 ms 644 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 = 200;
 
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 595 ms 376 KB Output is correct
2 Correct 607 ms 380 KB Output is correct
3 Correct 629 ms 392 KB Output is correct
4 Correct 649 ms 508 KB Output is correct
5 Correct 611 ms 400 KB Output is correct
6 Correct 586 ms 376 KB Output is correct
7 Correct 616 ms 376 KB Output is correct
8 Correct 691 ms 504 KB Output is correct
9 Correct 600 ms 376 KB Output is correct
10 Partially correct 626 ms 396 KB Output is partially correct
11 Partially correct 604 ms 368 KB Output is partially correct
12 Partially correct 585 ms 364 KB Output is partially correct
13 Correct 590 ms 496 KB Output is correct
14 Correct 589 ms 492 KB Output is correct
15 Partially correct 604 ms 504 KB Output is partially correct
16 Partially correct 590 ms 396 KB Output is partially correct
17 Correct 787 ms 520 KB Output is correct
18 Correct 632 ms 512 KB Output is correct
19 Partially correct 610 ms 496 KB Output is partially correct
20 Partially correct 592 ms 400 KB Output is partially correct
21 Partially correct 602 ms 368 KB Output is partially correct
22 Partially correct 595 ms 504 KB Output is partially correct
23 Correct 699 ms 492 KB Output is correct
24 Correct 597 ms 376 KB Output is correct
25 Partially correct 658 ms 376 KB Output is partially correct
26 Partially correct 664 ms 508 KB Output is partially correct
27 Partially correct 689 ms 496 KB Output is partially correct
28 Partially correct 613 ms 512 KB Output is partially correct
29 Partially correct 705 ms 376 KB Output is partially correct
30 Partially correct 618 ms 408 KB Output is partially correct
31 Partially correct 618 ms 504 KB Output is partially correct
32 Partially correct 684 ms 376 KB Output is partially correct
33 Partially correct 594 ms 376 KB Output is partially correct
34 Partially correct 623 ms 516 KB Output is partially correct
35 Partially correct 706 ms 408 KB Output is partially correct
36 Partially correct 667 ms 520 KB Output is partially correct
37 Partially correct 635 ms 496 KB Output is partially correct
38 Partially correct 617 ms 364 KB Output is partially correct
39 Partially correct 658 ms 408 KB Output is partially correct
40 Partially correct 730 ms 496 KB Output is partially correct
41 Partially correct 706 ms 500 KB Output is partially correct
42 Partially correct 605 ms 376 KB Output is partially correct
43 Partially correct 597 ms 504 KB Output is partially correct
44 Partially correct 590 ms 384 KB Output is partially correct
45 Partially correct 643 ms 384 KB Output is partially correct
46 Partially correct 688 ms 380 KB Output is partially correct
47 Partially correct 653 ms 372 KB Output is partially correct
48 Partially correct 633 ms 368 KB Output is partially correct
49 Partially correct 656 ms 496 KB Output is partially correct
50 Partially correct 813 ms 516 KB Output is partially correct
51 Partially correct 627 ms 368 KB Output is partially correct
52 Partially correct 663 ms 504 KB Output is partially correct
53 Partially correct 619 ms 408 KB Output is partially correct
54 Partially correct 620 ms 376 KB Output is partially correct
55 Partially correct 682 ms 364 KB Output is partially correct
56 Partially correct 689 ms 380 KB Output is partially correct
57 Partially correct 631 ms 380 KB Output is partially correct
58 Partially correct 601 ms 404 KB Output is partially correct
59 Partially correct 609 ms 504 KB Output is partially correct
60 Partially correct 674 ms 508 KB Output is partially correct
61 Partially correct 591 ms 380 KB Output is partially correct
62 Correct 595 ms 376 KB Output is correct
63 Correct 639 ms 376 KB Output is correct
64 Correct 604 ms 376 KB Output is correct
65 Correct 589 ms 368 KB Output is correct
66 Correct 610 ms 376 KB Output is correct
67 Correct 611 ms 380 KB Output is correct
68 Correct 606 ms 632 KB Output is correct
69 Correct 597 ms 376 KB Output is correct
70 Correct 604 ms 508 KB Output is correct
71 Correct 626 ms 512 KB Output is correct
72 Correct 606 ms 388 KB Output is correct
73 Correct 593 ms 396 KB Output is correct
74 Correct 637 ms 500 KB Output is correct
75 Correct 604 ms 492 KB Output is correct
76 Correct 732 ms 376 KB Output is correct
77 Correct 586 ms 496 KB Output is correct
78 Correct 664 ms 632 KB Output is correct
79 Correct 597 ms 620 KB Output is correct
80 Correct 609 ms 492 KB Output is correct
81 Correct 577 ms 376 KB Output is correct
82 Correct 593 ms 376 KB Output is correct
83 Correct 626 ms 644 KB Output is correct
84 Correct 584 ms 496 KB Output is correct
85 Correct 616 ms 496 KB Output is correct
86 Correct 578 ms 376 KB Output is correct
87 Correct 594 ms 380 KB Output is correct
88 Correct 612 ms 392 KB Output is correct
89 Correct 587 ms 368 KB Output is correct
90 Correct 602 ms 376 KB Output is correct
91 Correct 591 ms 632 KB Output is correct