Submission #303594

# Submission time Handle Problem Language Result Execution time Memory
303594 2020-09-20T13:11:06 Z jtnydv25 Counting Mushrooms (IOI20_mushrooms) C++17
83.3948 / 100
789 ms 632 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 = 264;
 
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 674 ms 376 KB Output is correct
2 Correct 643 ms 376 KB Output is correct
3 Correct 640 ms 376 KB Output is correct
4 Correct 631 ms 408 KB Output is correct
5 Correct 616 ms 404 KB Output is correct
6 Correct 622 ms 368 KB Output is correct
7 Correct 716 ms 376 KB Output is correct
8 Correct 664 ms 504 KB Output is correct
9 Correct 616 ms 376 KB Output is correct
10 Partially correct 602 ms 376 KB Output is partially correct
11 Partially correct 608 ms 380 KB Output is partially correct
12 Partially correct 632 ms 368 KB Output is partially correct
13 Correct 607 ms 380 KB Output is correct
14 Correct 624 ms 376 KB Output is correct
15 Partially correct 701 ms 500 KB Output is partially correct
16 Partially correct 606 ms 368 KB Output is partially correct
17 Correct 641 ms 408 KB Output is correct
18 Correct 652 ms 500 KB Output is correct
19 Partially correct 615 ms 376 KB Output is partially correct
20 Partially correct 638 ms 392 KB Output is partially correct
21 Partially correct 610 ms 364 KB Output is partially correct
22 Partially correct 619 ms 364 KB Output is partially correct
23 Correct 729 ms 372 KB Output is correct
24 Correct 663 ms 396 KB Output is correct
25 Partially correct 641 ms 404 KB Output is partially correct
26 Partially correct 633 ms 496 KB Output is partially correct
27 Partially correct 654 ms 388 KB Output is partially correct
28 Partially correct 665 ms 408 KB Output is partially correct
29 Partially correct 639 ms 384 KB Output is partially correct
30 Partially correct 613 ms 396 KB Output is partially correct
31 Partially correct 630 ms 384 KB Output is partially correct
32 Partially correct 670 ms 408 KB Output is partially correct
33 Partially correct 659 ms 384 KB Output is partially correct
34 Partially correct 727 ms 388 KB Output is partially correct
35 Partially correct 627 ms 404 KB Output is partially correct
36 Partially correct 756 ms 504 KB Output is partially correct
37 Partially correct 632 ms 368 KB Output is partially correct
38 Partially correct 703 ms 384 KB Output is partially correct
39 Partially correct 589 ms 408 KB Output is partially correct
40 Partially correct 600 ms 380 KB Output is partially correct
41 Partially correct 608 ms 384 KB Output is partially correct
42 Partially correct 602 ms 404 KB Output is partially correct
43 Partially correct 626 ms 396 KB Output is partially correct
44 Partially correct 619 ms 404 KB Output is partially correct
45 Partially correct 656 ms 632 KB Output is partially correct
46 Partially correct 616 ms 372 KB Output is partially correct
47 Partially correct 596 ms 504 KB Output is partially correct
48 Partially correct 588 ms 376 KB Output is partially correct
49 Partially correct 596 ms 372 KB Output is partially correct
50 Partially correct 598 ms 376 KB Output is partially correct
51 Partially correct 599 ms 504 KB Output is partially correct
52 Partially correct 604 ms 408 KB Output is partially correct
53 Partially correct 587 ms 380 KB Output is partially correct
54 Partially correct 789 ms 372 KB Output is partially correct
55 Partially correct 610 ms 516 KB Output is partially correct
56 Partially correct 611 ms 504 KB Output is partially correct
57 Partially correct 597 ms 368 KB Output is partially correct
58 Partially correct 597 ms 632 KB Output is partially correct
59 Partially correct 645 ms 488 KB Output is partially correct
60 Correct 678 ms 376 KB Output is correct
61 Correct 616 ms 368 KB Output is correct
62 Correct 667 ms 372 KB Output is correct
63 Correct 705 ms 400 KB Output is correct
64 Correct 663 ms 504 KB Output is correct
65 Correct 595 ms 396 KB Output is correct
66 Correct 673 ms 396 KB Output is correct
67 Correct 655 ms 512 KB Output is correct
68 Correct 655 ms 492 KB Output is correct
69 Correct 674 ms 376 KB Output is correct
70 Correct 597 ms 500 KB Output is correct
71 Correct 615 ms 388 KB Output is correct
72 Correct 633 ms 376 KB Output is correct
73 Correct 693 ms 372 KB Output is correct
74 Correct 678 ms 632 KB Output is correct
75 Correct 642 ms 504 KB Output is correct
76 Correct 652 ms 372 KB Output is correct
77 Correct 655 ms 392 KB Output is correct
78 Correct 681 ms 396 KB Output is correct
79 Correct 606 ms 380 KB Output is correct
80 Correct 622 ms 392 KB Output is correct
81 Correct 584 ms 372 KB Output is correct
82 Correct 669 ms 496 KB Output is correct
83 Correct 591 ms 376 KB Output is correct
84 Correct 584 ms 376 KB Output is correct
85 Correct 636 ms 376 KB Output is correct
86 Correct 590 ms 376 KB Output is correct
87 Correct 588 ms 512 KB Output is correct
88 Correct 627 ms 392 KB Output is correct
89 Correct 658 ms 392 KB Output is correct
90 Correct 611 ms 376 KB Output is correct
91 Correct 664 ms 392 KB Output is correct