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Submission #967667

# Submission time Handle Problem Language Result Execution time Memory
967667 2024-04-22T15:40:02 Z anton L-triominoes (CEOI21_ltriominoes) C++17
28 / 100
 1121 ms 884 KB 
#include<bits/stdc++.h>
    
using namespace std;
#define int long long
#define pii pair<int, int>
const int W = (1<<6);
int w;
    
struct Mat{
    vector<vector<bool>> v;
    
    Mat(){
        v.resize(W, vector<bool>(W));
        for(int i = 0; i<W; i++){
            v[i][i] = true;
        }
    }
};
    
Mat prod(Mat a, Mat b){
    Mat res;
    for(int i = 0;i<W; i++){
        res.v[i][i] =false;
    }
    for(int i =0;i<W; i++){
        for(int j = 0; j<W; j++){
            for(int h = 0; h<W; h++){
                
                res.v[i][j] = res.v[i][j] || (a.v[i][h] && b.v[h][j]);
            }
        }
    }
    return res;
}
    
Mat from_set(int ks){
    Mat res;
    
    for(int i = 0; i<W; i++){
        res.v[i][i] =false;
    }
    for(int i =0; i<W; i++){
        if((i &ks)  == 0){
            res.v[i][i|ks] =true;
            //cout<<bitset<W>(i)<<" "<<bitset<W>(i|ks)<<endl;
        }
    }
    /*for(int i =0; i<W; i++){
        for(int j =0; j<W; j++){
            cout<<res.v[i][j]<<" ";
        }
        cout<<endl;
    }*/
    return res;
}
    
Mat pows[31];
void precalc_pows(){
    for(int i = 1; i<31; i++){
        pows[i] = prod(pows[i-1], pows[i-1]);
    }
}
    
Mat mpow(int v){
    Mat res;
    for(int i = 0; i<31; i++){
        if(v & (1LL<<i)){
            res = prod(res, pows[i]);
        }
    }
    
    return res;
}
    
vector<Mat> Matrices;
map<int, bitset<W>> obstacles;
    
vector<bitset<W>> aviable;
vector<bool> found;
bitset<W> all_aviable(bitset<W> lh, bitset<W> rh){
    
    int id = lh.to_ullong() + rh.to_ullong() * W;
    if(found[id]){
        return aviable[id];
    } 
    found[id] = true;
    
    //cout<<lh<<" "<<rh<<endl;
    for(int i = 0; i<w-1; i++){
        
        if((!lh[i]) && (!rh[i+1])){
            //cout<<"possible "<<i<<endl;
            lh.set(i);
            rh.set(i+1);
            if(!rh[i]){
                rh.set(i);
                aviable[id] |= all_aviable(lh, rh);
                rh.reset(i);
            }
            if(!lh[i+1]){
                lh.set(i+1);
                aviable[id]|= all_aviable(lh, rh);
                lh.reset(i+1);
            }
            lh.reset(i);
            rh.reset(i+1);
        }
    
        if((!lh[i+1]) && (!rh[i])){
            rh.set(i);
            lh.set(i+1);
            if(!lh[i]){
                lh.set(i);
                aviable[id] |= all_aviable(lh, rh);
                lh.reset(i);
            }
            if(!rh[i+1]){
                rh.set(i+1);
                aviable[id]|= all_aviable(lh, rh);
                rh.reset(i+1);
            }
            rh.reset(i);
            lh.reset(i+1);
        }
    }
    return aviable[id];
}
    
vector<bitset<W>> interest;
signed main(){
    cin.tie(NULL);
    ios_base::sync_with_stdio(false);
    int h, k;
    cin>>w>>h>>k;
    
    aviable.resize(W*W);
    found.resize(W*W);
    
    bitset<W> lh;
    for(int i = 0; i<w; i++){
        lh.set(i);
    }
    for(int rh = 0; rh<W; rh++){
        
        int id = lh.to_ullong() + rh*W;
        aviable[id].set(rh);
        found[id] =true;
    }
    
    Mat transition;
    for(int lhi = 0; lhi<W; lhi++){
        interest.push_back(all_aviable(bitset<W>(lhi), bitset<W>(0)));
        for(int rh = 0; rh<W; rh++){
            transition.v[lhi][rh] = interest[lhi][rh];
        }
    }
    
    pows[0] = transition;
    precalc_pows();
    
    
    for(int i = 0; i<k; i++){
        int a, b;
        cin>>a>>b;
        a--;
        b--;
        obstacles[b].set(a);
    }
    if(obstacles.find(h-1) == obstacles.end()){
        obstacles[h-1] = bitset<W>(0);
    }
    
    Mat res;
    int cur_id = 0;
    for(auto e: obstacles){
        res = prod(res, mpow(e.first-cur_id));
        cur_id = e.first;
        res = prod(res, from_set(e.second.to_ullong()));
    }
    if(res.v[0][(1<<w)-1]){
        cout<<"YES"<<endl;
    }
    else{
        cout<<"NO"<<endl;
    }
}

Subtask #1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 604 KB Output is correct
2 Correct 18 ms 604 KB Output is correct
3 Correct 14 ms 652 KB Output is correct
4 Correct 168 ms 640 KB Output is correct
5 Correct 152 ms 604 KB Output is correct
6 Correct 200 ms 604 KB Output is correct
7 Runtime error 1 ms 856 KB Execution killed with signal 11
8 Halted 0 ms 0 KB -

Subtask #2
0 / 7.0

# Verdict Execution time Memory Grader output
1 Runtime error 1 ms 860 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 600 KB Output is correct
2 Correct 14 ms 604 KB Output is correct
3 Correct 14 ms 604 KB Output is correct
4 Correct 25 ms 648 KB Output is correct
5 Correct 20 ms 600 KB Output is correct
6 Correct 18 ms 604 KB Output is correct
7 Correct 14 ms 604 KB Output is correct
8 Correct 22 ms 604 KB Output is correct
9 Correct 56 ms 652 KB Output is correct
10 Correct 23 ms 604 KB Output is correct
11 Correct 211 ms 628 KB Output is correct
12 Correct 26 ms 604 KB Output is correct
13 Correct 24 ms 868 KB Output is correct
14 Correct 90 ms 600 KB Output is correct
15 Correct 44 ms 604 KB Output is correct
16 Correct 86 ms 604 KB Output is correct
17 Correct 660 ms 648 KB Output is correct
18 Correct 39 ms 604 KB Output is correct
19 Correct 13 ms 604 KB Output is correct
20 Correct 702 ms 648 KB Output is correct
21 Correct 13 ms 604 KB Output is correct
22 Correct 19 ms 604 KB Output is correct
23 Correct 26 ms 604 KB Output is correct
24 Correct 14 ms 656 KB Output is correct
25 Correct 65 ms 600 KB Output is correct
26 Correct 385 ms 604 KB Output is correct
27 Correct 25 ms 648 KB Output is correct
28 Correct 14 ms 604 KB Output is correct
29 Correct 21 ms 648 KB Output is correct
30 Correct 859 ms 660 KB Output is correct
31 Correct 796 ms 648 KB Output is correct
32 Correct 36 ms 604 KB Output is correct
33 Correct 770 ms 644 KB Output is correct
34 Correct 859 ms 856 KB Output is correct
35 Correct 837 ms 848 KB Output is correct
36 Correct 276 ms 884 KB Output is correct
37 Correct 831 ms 648 KB Output is correct
38 Correct 602 ms 600 KB Output is correct
39 Correct 551 ms 644 KB Output is correct
40 Correct 628 ms 760 KB Output is correct
41 Correct 512 ms 604 KB Output is correct
42 Correct 279 ms 852 KB Output is correct
43 Correct 335 ms 644 KB Output is correct
44 Correct 237 ms 848 KB Output is correct
45 Correct 341 ms 648 KB Output is correct
46 Correct 215 ms 600 KB Output is correct
47 Correct 273 ms 600 KB Output is correct
48 Correct 206 ms 604 KB Output is correct
49 Correct 226 ms 848 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 139 ms 600 KB Output is correct
2 Correct 156 ms 604 KB Output is correct
3 Correct 775 ms 652 KB Output is correct
4 Correct 15 ms 600 KB Output is correct
5 Correct 14 ms 660 KB Output is correct
6 Correct 19 ms 596 KB Output is correct
7 Correct 15 ms 604 KB Output is correct
8 Correct 16 ms 604 KB Output is correct
9 Correct 25 ms 644 KB Output is correct
10 Correct 885 ms 852 KB Output is correct
11 Correct 933 ms 848 KB Output is correct
12 Correct 1121 ms 656 KB Output is correct
13 Correct 877 ms 652 KB Output is correct
14 Correct 791 ms 848 KB Output is correct
15 Correct 838 ms 652 KB Output is correct
16 Correct 775 ms 672 KB Output is correct
17 Correct 827 ms 652 KB Output is correct
18 Correct 821 ms 852 KB Output is correct
19 Correct 620 ms 648 KB Output is correct
20 Correct 359 ms 600 KB Output is correct
21 Correct 271 ms 648 KB Output is correct
22 Correct 301 ms 600 KB Output is correct
23 Correct 544 ms 652 KB Output is correct
24 Correct 746 ms 652 KB Output is correct
25 Correct 769 ms 600 KB Output is correct
26 Correct 722 ms 652 KB Output is correct
27 Correct 636 ms 648 KB Output is correct
28 Correct 246 ms 848 KB Output is correct
29 Correct 605 ms 652 KB Output is correct
30 Correct 297 ms 848 KB Output is correct
31 Correct 786 ms 656 KB Output is correct
32 Correct 765 ms 852 KB Output is correct
33 Correct 745 ms 652 KB Output is correct
34 Correct 184 ms 652 KB Output is correct
35 Correct 223 ms 644 KB Output is correct
36 Correct 291 ms 852 KB Output is correct
37 Correct 265 ms 600 KB Output is correct

Subtask #5
0 / 35.0

# Verdict Execution time Memory Grader output
1 Runtime error 1 ms 860 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #6
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 604 KB Output is correct
2 Correct 18 ms 604 KB Output is correct
3 Correct 14 ms 652 KB Output is correct
4 Correct 168 ms 640 KB Output is correct
5 Correct 152 ms 604 KB Output is correct
6 Correct 200 ms 604 KB Output is correct
7 Runtime error 1 ms 856 KB Execution killed with signal 11
8 Halted 0 ms 0 KB -