Submission #1048105

# Submission time Handle Problem Language Result Execution time Memory
1048105 2024-08-07T22:40:54 Z vjudge1 Fountain Parks (IOI21_parks) C++17
55 / 100
1569 ms 81664 KB
#include "parks.h"
#include<bits/stdc++.h>
using namespace std;
mt19937 rng;
struct bpmatch{
    vector<int>adj[200100];
    int match1[200100],match2[400100],dep[200100];
    void AE(int a,int b){
        adj[a].push_back(b);
    }
    int bfs(int n){
        queue<int>q;
        for(int i=1;i<=n;i++)
            if(!match1[i])
                q.push(i),
                dep[i]=1;
            else dep[i]=0;
        dep[0]=0;
        while(q.size()){
            int x=q.front();
            q.pop();
            if(dep[x]>=dep[0]&&dep[0])
                continue;
            for(auto i:adj[x])
                if(!dep[match2[i]])
                    dep[match2[i]]=dep[x]+1,
                    q.push(match2[i]);
        }
        return dep[0];
    }
    int dfs(int n){
        if(!n)return 1;
        for(auto i:adj[n]){
            if(dep[match2[i]]==dep[n]+1&&dfs(match2[i]))
                return match2[match1[n]=i]=n,1;
        }
        dep[n]=1e9;
        return 0;
    }
    int matching(int n){
        int ans=0;
        while(bfs(n))for(int i=1;i<=n;i++)
            if(!match1[i]) ans+=dfs(i);
        return ans;
    }
} G;
map<int,int> pts[200100];
vector<pair<int,int>> tre_edges;
struct dsu{
    int par[200100];
    int abp(int n){
        return par[n]?par[n]=abp(par[n]):n;
    }
    int  merge(int a,int b){
        a=abp(a),b=abp(b);
        return a-b?par[a]=b:0;
    }
} DT;
int Xpos[400100],Ypos[400100];
int construct_roads(std::vector<int> x, std::vector<int> y) {
    int n=x.size();
    for(int i=0;i<n;i++)
        pts[x[i]][y[i]]=i+1;
    vector<tuple<int,int,int>>E;
    for(int i=0;i<n;i++) {
        if(pts[x[i]+2][y[i]])
            E.push_back({i+1,pts[x[i]+2][y[i]],0});
        if(pts[x[i]][y[i]+2])
            E.push_back({i+1,pts[x[i]][y[i]+2],1});
    }
    vector<int>u,v,A,B;
    shuffle(E.begin(),E.end(),rng);
    int CC=0;
    for(auto [i,j,k]:E){
        if(DT.merge(i,j)){
            u.push_back(i-1);
            v.push_back(j-1);
            int x1=x[i-1]+1,y1=y[i-1]+1;
            int x2=x1,y2=y1;
            if(k)x2-=2;
            else y2-=2;
            if(!pts[x1][y1])
                pts[x1][y1]=++CC,
                Xpos[CC]=x1,
                Ypos[CC]=y1;
            if(!pts[x2][y2])
                pts[x2][y2]=++CC,
                Xpos[CC]=x2,
                Ypos[CC]=y2;
            G.AE(u.size(),pts[x1][y1]);
            G.AE(u.size(),pts[x2][y2]);
        }
    }
    if(u.size()-n+1)return 0;
    if(G.matching(n-1)!=n-1)
        return 0;
    for(int i=1;i<n;i++)
        A.push_back(Xpos[G.match1[i]]),
        B.push_back(Ypos[G.match1[i]]);
    build(u,v,A,B);
    return 1;
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 18776 KB Output is correct
2 Correct 2 ms 20828 KB Output is correct
3 Correct 2 ms 16732 KB Output is correct
4 Correct 2 ms 20828 KB Output is correct
5 Correct 2 ms 20828 KB Output is correct
6 Correct 2 ms 18780 KB Output is correct
7 Correct 2 ms 18780 KB Output is correct
8 Correct 2 ms 18780 KB Output is correct
9 Correct 186 ms 50960 KB Output is correct
10 Correct 15 ms 24032 KB Output is correct
11 Correct 76 ms 37096 KB Output is correct
12 Correct 19 ms 25516 KB Output is correct
13 Correct 49 ms 30220 KB Output is correct
14 Correct 3 ms 19032 KB Output is correct
15 Correct 4 ms 19292 KB Output is correct
16 Correct 187 ms 50940 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 18776 KB Output is correct
2 Correct 2 ms 20828 KB Output is correct
3 Correct 2 ms 16732 KB Output is correct
4 Correct 2 ms 20828 KB Output is correct
5 Correct 2 ms 20828 KB Output is correct
6 Correct 2 ms 18780 KB Output is correct
7 Correct 2 ms 18780 KB Output is correct
8 Correct 2 ms 18780 KB Output is correct
9 Correct 186 ms 50960 KB Output is correct
10 Correct 15 ms 24032 KB Output is correct
11 Correct 76 ms 37096 KB Output is correct
12 Correct 19 ms 25516 KB Output is correct
13 Correct 49 ms 30220 KB Output is correct
14 Correct 3 ms 19032 KB Output is correct
15 Correct 4 ms 19292 KB Output is correct
16 Correct 187 ms 50940 KB Output is correct
17 Correct 2 ms 20828 KB Output is correct
18 Correct 2 ms 20824 KB Output is correct
19 Correct 2 ms 20828 KB Output is correct
20 Correct 2 ms 20828 KB Output is correct
21 Correct 2 ms 18776 KB Output is correct
22 Correct 2 ms 20828 KB Output is correct
23 Correct 407 ms 71084 KB Output is correct
24 Correct 2 ms 20828 KB Output is correct
25 Correct 3 ms 21084 KB Output is correct
26 Correct 5 ms 19292 KB Output is correct
27 Correct 7 ms 19656 KB Output is correct
28 Correct 156 ms 40264 KB Output is correct
29 Correct 218 ms 50180 KB Output is correct
30 Correct 312 ms 59908 KB Output is correct
31 Correct 436 ms 71248 KB Output is correct
32 Correct 2 ms 20828 KB Output is correct
33 Correct 2 ms 20824 KB Output is correct
34 Correct 2 ms 20828 KB Output is correct
35 Correct 2 ms 16732 KB Output is correct
36 Correct 2 ms 16828 KB Output is correct
37 Correct 3 ms 20932 KB Output is correct
38 Correct 2 ms 20824 KB Output is correct
39 Correct 2 ms 20912 KB Output is correct
40 Correct 2 ms 20828 KB Output is correct
41 Correct 2 ms 16732 KB Output is correct
42 Correct 2 ms 20952 KB Output is correct
43 Correct 4 ms 19312 KB Output is correct
44 Correct 4 ms 19548 KB Output is correct
45 Correct 186 ms 47432 KB Output is correct
46 Correct 291 ms 59316 KB Output is correct
47 Correct 280 ms 59360 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 18776 KB Output is correct
2 Correct 2 ms 20828 KB Output is correct
3 Correct 2 ms 16732 KB Output is correct
4 Correct 2 ms 20828 KB Output is correct
5 Correct 2 ms 20828 KB Output is correct
6 Correct 2 ms 18780 KB Output is correct
7 Correct 2 ms 18780 KB Output is correct
8 Correct 2 ms 18780 KB Output is correct
9 Correct 186 ms 50960 KB Output is correct
10 Correct 15 ms 24032 KB Output is correct
11 Correct 76 ms 37096 KB Output is correct
12 Correct 19 ms 25516 KB Output is correct
13 Correct 49 ms 30220 KB Output is correct
14 Correct 3 ms 19032 KB Output is correct
15 Correct 4 ms 19292 KB Output is correct
16 Correct 187 ms 50940 KB Output is correct
17 Correct 2 ms 20828 KB Output is correct
18 Correct 2 ms 20824 KB Output is correct
19 Correct 2 ms 20828 KB Output is correct
20 Correct 2 ms 20828 KB Output is correct
21 Correct 2 ms 18776 KB Output is correct
22 Correct 2 ms 20828 KB Output is correct
23 Correct 407 ms 71084 KB Output is correct
24 Correct 2 ms 20828 KB Output is correct
25 Correct 3 ms 21084 KB Output is correct
26 Correct 5 ms 19292 KB Output is correct
27 Correct 7 ms 19656 KB Output is correct
28 Correct 156 ms 40264 KB Output is correct
29 Correct 218 ms 50180 KB Output is correct
30 Correct 312 ms 59908 KB Output is correct
31 Correct 436 ms 71248 KB Output is correct
32 Correct 2 ms 20828 KB Output is correct
33 Correct 2 ms 20824 KB Output is correct
34 Correct 2 ms 20828 KB Output is correct
35 Correct 2 ms 16732 KB Output is correct
36 Correct 2 ms 16828 KB Output is correct
37 Correct 3 ms 20932 KB Output is correct
38 Correct 2 ms 20824 KB Output is correct
39 Correct 2 ms 20912 KB Output is correct
40 Correct 2 ms 20828 KB Output is correct
41 Correct 2 ms 16732 KB Output is correct
42 Correct 2 ms 20952 KB Output is correct
43 Correct 4 ms 19312 KB Output is correct
44 Correct 4 ms 19548 KB Output is correct
45 Correct 186 ms 47432 KB Output is correct
46 Correct 291 ms 59316 KB Output is correct
47 Correct 280 ms 59360 KB Output is correct
48 Correct 3 ms 20828 KB Output is correct
49 Correct 2 ms 20828 KB Output is correct
50 Correct 2 ms 20828 KB Output is correct
51 Correct 2 ms 20828 KB Output is correct
52 Correct 2 ms 20928 KB Output is correct
53 Correct 2 ms 20916 KB Output is correct
54 Correct 2 ms 20828 KB Output is correct
55 Incorrect 395 ms 60228 KB Solution announced impossible, but it is possible.
56 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 18776 KB Output is correct
2 Correct 2 ms 20828 KB Output is correct
3 Correct 2 ms 16732 KB Output is correct
4 Correct 2 ms 20828 KB Output is correct
5 Correct 2 ms 20828 KB Output is correct
6 Correct 2 ms 18780 KB Output is correct
7 Correct 2 ms 18780 KB Output is correct
8 Correct 2 ms 18780 KB Output is correct
9 Correct 186 ms 50960 KB Output is correct
10 Correct 15 ms 24032 KB Output is correct
11 Correct 76 ms 37096 KB Output is correct
12 Correct 19 ms 25516 KB Output is correct
13 Correct 49 ms 30220 KB Output is correct
14 Correct 3 ms 19032 KB Output is correct
15 Correct 4 ms 19292 KB Output is correct
16 Correct 187 ms 50940 KB Output is correct
17 Correct 3 ms 20828 KB Output is correct
18 Correct 2 ms 20828 KB Output is correct
19 Correct 2 ms 18780 KB Output is correct
20 Correct 1507 ms 69380 KB Output is correct
21 Correct 192 ms 72344 KB Output is correct
22 Correct 1569 ms 68360 KB Output is correct
23 Correct 223 ms 71992 KB Output is correct
24 Correct 178 ms 48088 KB Output is correct
25 Correct 305 ms 70064 KB Output is correct
26 Correct 297 ms 69888 KB Output is correct
27 Correct 354 ms 81068 KB Output is correct
28 Correct 333 ms 80964 KB Output is correct
29 Correct 344 ms 81068 KB Output is correct
30 Correct 332 ms 81172 KB Output is correct
31 Correct 2 ms 20824 KB Output is correct
32 Correct 15 ms 24756 KB Output is correct
33 Correct 31 ms 32348 KB Output is correct
34 Correct 206 ms 72696 KB Output is correct
35 Correct 9 ms 20824 KB Output is correct
36 Correct 46 ms 28908 KB Output is correct
37 Correct 106 ms 38928 KB Output is correct
38 Correct 108 ms 40676 KB Output is correct
39 Correct 161 ms 48284 KB Output is correct
40 Correct 206 ms 56580 KB Output is correct
41 Correct 270 ms 62972 KB Output is correct
42 Correct 327 ms 71472 KB Output is correct
43 Correct 3 ms 20828 KB Output is correct
44 Correct 2 ms 20828 KB Output is correct
45 Correct 2 ms 20828 KB Output is correct
46 Correct 2 ms 16732 KB Output is correct
47 Correct 2 ms 16732 KB Output is correct
48 Correct 2 ms 20828 KB Output is correct
49 Correct 2 ms 20828 KB Output is correct
50 Correct 2 ms 20828 KB Output is correct
51 Correct 2 ms 20828 KB Output is correct
52 Correct 2 ms 16732 KB Output is correct
53 Correct 2 ms 20828 KB Output is correct
54 Correct 4 ms 19292 KB Output is correct
55 Correct 5 ms 19548 KB Output is correct
56 Correct 184 ms 47412 KB Output is correct
57 Correct 299 ms 59748 KB Output is correct
58 Correct 281 ms 59360 KB Output is correct
59 Correct 2 ms 16732 KB Output is correct
60 Correct 2 ms 20828 KB Output is correct
61 Correct 2 ms 16732 KB Output is correct
62 Correct 423 ms 81412 KB Output is correct
63 Correct 427 ms 81152 KB Output is correct
64 Correct 422 ms 80900 KB Output is correct
65 Correct 6 ms 19544 KB Output is correct
66 Correct 10 ms 20476 KB Output is correct
67 Correct 184 ms 46832 KB Output is correct
68 Correct 296 ms 59908 KB Output is correct
69 Correct 418 ms 72888 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 18776 KB Output is correct
2 Correct 2 ms 20828 KB Output is correct
3 Correct 2 ms 16732 KB Output is correct
4 Correct 2 ms 20828 KB Output is correct
5 Correct 2 ms 20828 KB Output is correct
6 Correct 2 ms 18780 KB Output is correct
7 Correct 2 ms 18780 KB Output is correct
8 Correct 2 ms 18780 KB Output is correct
9 Correct 186 ms 50960 KB Output is correct
10 Correct 15 ms 24032 KB Output is correct
11 Correct 76 ms 37096 KB Output is correct
12 Correct 19 ms 25516 KB Output is correct
13 Correct 49 ms 30220 KB Output is correct
14 Correct 3 ms 19032 KB Output is correct
15 Correct 4 ms 19292 KB Output is correct
16 Correct 187 ms 50940 KB Output is correct
17 Correct 332 ms 81664 KB Output is correct
18 Correct 332 ms 81584 KB Output is correct
19 Correct 703 ms 74724 KB Output is correct
20 Correct 308 ms 67572 KB Output is correct
21 Correct 287 ms 69092 KB Output is correct
22 Correct 2 ms 20828 KB Output is correct
23 Correct 36 ms 28952 KB Output is correct
24 Correct 22 ms 22932 KB Output is correct
25 Correct 71 ms 33032 KB Output is correct
26 Correct 130 ms 42744 KB Output is correct
27 Correct 138 ms 45448 KB Output is correct
28 Correct 198 ms 52056 KB Output is correct
29 Correct 228 ms 57908 KB Output is correct
30 Correct 277 ms 64012 KB Output is correct
31 Correct 319 ms 70368 KB Output is correct
32 Correct 423 ms 72868 KB Output is correct
33 Correct 431 ms 81060 KB Output is correct
34 Correct 7 ms 19804 KB Output is correct
35 Correct 14 ms 20880 KB Output is correct
36 Correct 177 ms 46596 KB Output is correct
37 Correct 293 ms 59944 KB Output is correct
38 Correct 416 ms 72628 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 18776 KB Output is correct
2 Correct 2 ms 20828 KB Output is correct
3 Correct 2 ms 16732 KB Output is correct
4 Correct 2 ms 20828 KB Output is correct
5 Correct 2 ms 20828 KB Output is correct
6 Correct 2 ms 18780 KB Output is correct
7 Correct 2 ms 18780 KB Output is correct
8 Correct 2 ms 18780 KB Output is correct
9 Correct 186 ms 50960 KB Output is correct
10 Correct 15 ms 24032 KB Output is correct
11 Correct 76 ms 37096 KB Output is correct
12 Correct 19 ms 25516 KB Output is correct
13 Correct 49 ms 30220 KB Output is correct
14 Correct 3 ms 19032 KB Output is correct
15 Correct 4 ms 19292 KB Output is correct
16 Correct 187 ms 50940 KB Output is correct
17 Correct 2 ms 20828 KB Output is correct
18 Correct 2 ms 20824 KB Output is correct
19 Correct 2 ms 20828 KB Output is correct
20 Correct 2 ms 20828 KB Output is correct
21 Correct 2 ms 18776 KB Output is correct
22 Correct 2 ms 20828 KB Output is correct
23 Correct 407 ms 71084 KB Output is correct
24 Correct 2 ms 20828 KB Output is correct
25 Correct 3 ms 21084 KB Output is correct
26 Correct 5 ms 19292 KB Output is correct
27 Correct 7 ms 19656 KB Output is correct
28 Correct 156 ms 40264 KB Output is correct
29 Correct 218 ms 50180 KB Output is correct
30 Correct 312 ms 59908 KB Output is correct
31 Correct 436 ms 71248 KB Output is correct
32 Correct 2 ms 20828 KB Output is correct
33 Correct 2 ms 20824 KB Output is correct
34 Correct 2 ms 20828 KB Output is correct
35 Correct 2 ms 16732 KB Output is correct
36 Correct 2 ms 16828 KB Output is correct
37 Correct 3 ms 20932 KB Output is correct
38 Correct 2 ms 20824 KB Output is correct
39 Correct 2 ms 20912 KB Output is correct
40 Correct 2 ms 20828 KB Output is correct
41 Correct 2 ms 16732 KB Output is correct
42 Correct 2 ms 20952 KB Output is correct
43 Correct 4 ms 19312 KB Output is correct
44 Correct 4 ms 19548 KB Output is correct
45 Correct 186 ms 47432 KB Output is correct
46 Correct 291 ms 59316 KB Output is correct
47 Correct 280 ms 59360 KB Output is correct
48 Correct 3 ms 20828 KB Output is correct
49 Correct 2 ms 20828 KB Output is correct
50 Correct 2 ms 20828 KB Output is correct
51 Correct 2 ms 20828 KB Output is correct
52 Correct 2 ms 20928 KB Output is correct
53 Correct 2 ms 20916 KB Output is correct
54 Correct 2 ms 20828 KB Output is correct
55 Incorrect 395 ms 60228 KB Solution announced impossible, but it is possible.
56 Halted 0 ms 0 KB -