Submission #301431

# Submission time Handle Problem Language Result Execution time Memory
301431 2020-09-17T23:41:50 Z KWang31 Connecting Supertrees (IOI20_supertrees) Java 11
40 / 100
525 ms 58092 KB
import java.io.*; import java.util.*;
public class supertrees {

    static class Pair implements Comparable<Pair>{
        int v; int l0;
        public Pair(int a, int b){
            this.v=a; this.l0=b;
        }
        public int compareTo(Pair other){//Sort by l0 values
            if(this.l0>other.l0)return 1;
            if(this.l0<other.l0)return -1;
            if(this.v<other.v)return -1;
            if(this.v>other.v)return 1;
            return 0;
        }
    }
    /*
    public static void main(String[] args) throws IOException {
        // Tester code
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        int N=Integer.parseInt(br.readLine());
        int[][] p=new int[N][N];
        for (int i = 0; i < N; i++) {
            StringTokenizer st=new StringTokenizer(br.readLine());
            for (int j = 0; j < N; j++) {
                p[i][j]=Integer.parseInt(st.nextToken());
            }
        }
        System.out.println(construct(p));
    }
*/
public static int construct(int[][] p){
        int N=p.length;
        
        int[][] b=new int[N][N];
        int[] rank1=new int[N];//Consider the graph of 1-edges
        int[] rank0=new int[N];//Graph of 1,2-edges
        
        int[] par1=new int[N];
        int[] par0=new int[N];
        
        for (int i =0; i < N; i++) {
            par1[i]=i; par0[i]=i; 
        }
        int ii,jj;
        for (int i = 0; i < N; i++) {
            for (int j =0; j < N; j++) {
                if(i==j)continue;
                if(p[i][j]==1){
                    ii=find(i,par1); jj=find(j,par1);
                    if(ii!=jj){
                        if(rank1[ii]<rank1[jj]){
                            par1[ii]=jj;
                        }else if(rank1[ii]==rank1[jj]){
                            par1[ii]=jj; rank1[jj]++;
                        }else{
                            par1[jj]=ii;
                        }
                    }
                    ii=find(i,par0); jj=find(j,par0);
                    if(ii!=jj){
                        if(rank0[ii]<rank0[jj]){
                            par0[ii]=jj; 
                        }else if(rank0[ii]==rank0[jj]){
                            par0[ii]=jj; rank0[jj]++;
                        }else{
                            par0[jj]=ii;
                        }
                    }
                }else if(p[i][j]==2){
                    ii=find(i,par1); jj=find(j,par1);
                    if(ii==jj){//Deals with case i)
                        return 0;
                    }
                    
                    ii=find(i,par0); jj=find(j,par0);
                    if(ii!=jj){
                        if(rank0[ii]<rank0[jj]){
                            par0[ii]=jj;
                        }else if(rank0[ii]==rank0[jj]){
                            par0[ii]=jj; rank0[jj]++;
                        }else{
                            par0[jj]=ii;
                        }
                    }
                }else if(p[i][j]==3){
                    return 0;
                }else{
                    ii=find(i,par0); jj=find(j,par0);
                    if(ii==jj)return 0;
                }
            }
        }
        //Now for every 1-2 component, we need to find number of 1-leaders
        //That is the length of cycle. I lose if its length is 2 (length 1 is just a tree)
        boolean[] done=new boolean[N];
        int[] ans=new int[N];
        
        for (int i = 0; i < N; i++) {
            ii=find(i,par1);
            if(!done[ii]){
                jj=find(ii,par0);
                
               ans[jj]++;
                
                done[ii]=true;
            }
        }
         //System.out.println(Arrays.toString(ans));
        for (int i = 0; i < N; i++) {
            if(ans[i]==2){
                return 0;
            }
        }
        
        
        TreeSet<Pair> leads=new TreeSet<>();//Include leaders of all 1-components
         int[] cnt=new int[N];
        for (int i = 0; i < N; i++) {//1-graphs
            
            ii=find(i,par1);
            if(ii!=i){
                b[i][ii]=1; b[ii][i]=1;
                
                //Same component guys don't matter
            }
            //I want to insert every root of each par1 component exactly once
            if(cnt[find(ii,par0)]<ans[find(ii,par0)]-1 && ii!=find(ii,par0)){
                leads.add(new Pair(ii,find(ii,par0)));
                cnt[find(ii,par0)]++;
            }
            
        }
        
        int prevl=-1;int prevv=0; 
        //Completes the cycle
        int save=0;
        for (Pair q: leads) {
            //System.out.println(q.v+" "+q.l0+" "+prevv);
            if(prevl!=q.l0){
                if(prevl!=-1){
                    //System.out.println(prevv);
                    b[prevv][prevl]=1;b[prevl][prevv]=1;
                } 
                b[q.v][q.l0]=1; b[q.l0][q.v]=1;
                prevl=q.l0; 
                
            }else{
                b[q.v][prevv]=1; b[prevv][q.v]=1;
                
            }
            prevv=q.v; save=q.l0;
        }
        if(prevv!=save){b[prevv][save]=1; b[save][prevv]=1;}
        //Last fill
        //The leaders of every component forms a cycle as long as they're connected in the >=1 graph
        grader.build(b);
        /*
        for (int i = 0; i < N; i++) {
            System.out.println(Arrays.toString(b[i]));
        }
        */
        return 1;
    }
    
    public static int find(int x, int[] par){
        if(par[x]==x)return x;
        int ans=find(par[x],par);
        par[x]=ans; return ans;
    }
}
# Verdict Execution time Memory Grader output
1 Correct 82 ms 10472 KB Output is correct
2 Correct 77 ms 10360 KB Output is correct
3 Correct 82 ms 10480 KB Output is correct
4 Correct 89 ms 10444 KB Output is correct
5 Correct 81 ms 10232 KB Output is correct
6 Correct 161 ms 15752 KB Output is correct
7 Correct 462 ms 57112 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 82 ms 10472 KB Output is correct
2 Correct 77 ms 10360 KB Output is correct
3 Correct 82 ms 10480 KB Output is correct
4 Correct 89 ms 10444 KB Output is correct
5 Correct 81 ms 10232 KB Output is correct
6 Correct 161 ms 15752 KB Output is correct
7 Correct 462 ms 57112 KB Output is correct
8 Correct 82 ms 10032 KB Output is correct
9 Correct 78 ms 10360 KB Output is correct
10 Correct 80 ms 10228 KB Output is correct
11 Correct 84 ms 10364 KB Output is correct
12 Correct 186 ms 14804 KB Output is correct
13 Correct 438 ms 56984 KB Output is correct
14 Correct 77 ms 10228 KB Output is correct
15 Correct 77 ms 10104 KB Output is correct
16 Correct 93 ms 11128 KB Output is correct
17 Correct 139 ms 19424 KB Output is correct
18 Correct 80 ms 10380 KB Output is correct
19 Correct 80 ms 10140 KB Output is correct
20 Correct 373 ms 29920 KB Output is correct
21 Correct 489 ms 57136 KB Output is correct
22 Correct 468 ms 57328 KB Output is correct
23 Correct 477 ms 56716 KB Output is correct
24 Correct 442 ms 56972 KB Output is correct
25 Correct 190 ms 20332 KB Output is correct
26 Correct 191 ms 20544 KB Output is correct
27 Correct 486 ms 57644 KB Output is correct
28 Correct 484 ms 57708 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 79 ms 10360 KB Output is correct
2 Correct 80 ms 10344 KB Output is correct
3 Correct 80 ms 10236 KB Output is correct
4 Correct 80 ms 10104 KB Output is correct
5 Correct 101 ms 10340 KB Output is correct
6 Correct 80 ms 10360 KB Output is correct
7 Correct 81 ms 10468 KB Output is correct
8 Correct 184 ms 14512 KB Output is correct
9 Correct 473 ms 56596 KB Output is correct
10 Correct 82 ms 10508 KB Output is correct
11 Correct 80 ms 10384 KB Output is correct
12 Correct 168 ms 14612 KB Output is correct
13 Correct 470 ms 57144 KB Output is correct
14 Correct 78 ms 10356 KB Output is correct
15 Correct 78 ms 10356 KB Output is correct
16 Correct 114 ms 11068 KB Output is correct
17 Correct 133 ms 19248 KB Output is correct
18 Correct 79 ms 10360 KB Output is correct
19 Correct 82 ms 10236 KB Output is correct
20 Correct 84 ms 10380 KB Output is correct
21 Correct 348 ms 29324 KB Output is correct
22 Correct 471 ms 57120 KB Output is correct
23 Correct 492 ms 57484 KB Output is correct
24 Correct 481 ms 57276 KB Output is correct
25 Correct 192 ms 20460 KB Output is correct
26 Correct 154 ms 19092 KB Output is correct
27 Correct 493 ms 56720 KB Output is correct
28 Correct 479 ms 56484 KB Output is correct
29 Correct 202 ms 20152 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 80 ms 10472 KB Output is correct
2 Correct 78 ms 10252 KB Output is correct
3 Correct 83 ms 10232 KB Output is correct
4 Correct 319 ms 27232 KB Output is correct
5 Correct 477 ms 57124 KB Output is correct
6 Correct 462 ms 57088 KB Output is correct
7 Correct 517 ms 58092 KB Output is correct
8 Correct 82 ms 10472 KB Output is correct
9 Correct 338 ms 26640 KB Output is correct
10 Correct 470 ms 56620 KB Output is correct
11 Correct 525 ms 57872 KB Output is correct
12 Correct 479 ms 57512 KB Output is correct
13 Correct 82 ms 10340 KB Output is correct
14 Correct 100 ms 10528 KB Output is correct
15 Incorrect 87 ms 10360 KB Too few ways to get from 0 to 1, should be 2 found 1
16 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 82 ms 10472 KB Output is correct
2 Correct 77 ms 10360 KB Output is correct
3 Correct 82 ms 10480 KB Output is correct
4 Correct 89 ms 10444 KB Output is correct
5 Correct 81 ms 10232 KB Output is correct
6 Correct 161 ms 15752 KB Output is correct
7 Correct 462 ms 57112 KB Output is correct
8 Correct 82 ms 10032 KB Output is correct
9 Correct 78 ms 10360 KB Output is correct
10 Correct 80 ms 10228 KB Output is correct
11 Correct 84 ms 10364 KB Output is correct
12 Correct 186 ms 14804 KB Output is correct
13 Correct 438 ms 56984 KB Output is correct
14 Correct 77 ms 10228 KB Output is correct
15 Correct 77 ms 10104 KB Output is correct
16 Correct 93 ms 11128 KB Output is correct
17 Correct 139 ms 19424 KB Output is correct
18 Correct 80 ms 10380 KB Output is correct
19 Correct 80 ms 10140 KB Output is correct
20 Correct 373 ms 29920 KB Output is correct
21 Correct 489 ms 57136 KB Output is correct
22 Correct 468 ms 57328 KB Output is correct
23 Correct 477 ms 56716 KB Output is correct
24 Correct 442 ms 56972 KB Output is correct
25 Correct 190 ms 20332 KB Output is correct
26 Correct 191 ms 20544 KB Output is correct
27 Correct 486 ms 57644 KB Output is correct
28 Correct 484 ms 57708 KB Output is correct
29 Correct 79 ms 10360 KB Output is correct
30 Correct 80 ms 10344 KB Output is correct
31 Correct 80 ms 10236 KB Output is correct
32 Correct 80 ms 10104 KB Output is correct
33 Correct 101 ms 10340 KB Output is correct
34 Correct 80 ms 10360 KB Output is correct
35 Correct 81 ms 10468 KB Output is correct
36 Correct 184 ms 14512 KB Output is correct
37 Correct 473 ms 56596 KB Output is correct
38 Correct 82 ms 10508 KB Output is correct
39 Correct 80 ms 10384 KB Output is correct
40 Correct 168 ms 14612 KB Output is correct
41 Correct 470 ms 57144 KB Output is correct
42 Correct 78 ms 10356 KB Output is correct
43 Correct 78 ms 10356 KB Output is correct
44 Correct 114 ms 11068 KB Output is correct
45 Correct 133 ms 19248 KB Output is correct
46 Correct 79 ms 10360 KB Output is correct
47 Correct 82 ms 10236 KB Output is correct
48 Correct 84 ms 10380 KB Output is correct
49 Correct 348 ms 29324 KB Output is correct
50 Correct 471 ms 57120 KB Output is correct
51 Correct 492 ms 57484 KB Output is correct
52 Correct 481 ms 57276 KB Output is correct
53 Correct 192 ms 20460 KB Output is correct
54 Correct 154 ms 19092 KB Output is correct
55 Correct 493 ms 56720 KB Output is correct
56 Correct 479 ms 56484 KB Output is correct
57 Correct 202 ms 20152 KB Output is correct
58 Correct 78 ms 10600 KB Output is correct
59 Correct 79 ms 10256 KB Output is correct
60 Correct 89 ms 10872 KB Output is correct
61 Correct 133 ms 18968 KB Output is correct
62 Correct 82 ms 10492 KB Output is correct
63 Correct 81 ms 10344 KB Output is correct
64 Correct 80 ms 10360 KB Output is correct
65 Incorrect 337 ms 27628 KB Too many ways to get from 11 to 175, should be 1 found no less than 2
66 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 82 ms 10472 KB Output is correct
2 Correct 77 ms 10360 KB Output is correct
3 Correct 82 ms 10480 KB Output is correct
4 Correct 89 ms 10444 KB Output is correct
5 Correct 81 ms 10232 KB Output is correct
6 Correct 161 ms 15752 KB Output is correct
7 Correct 462 ms 57112 KB Output is correct
8 Correct 82 ms 10032 KB Output is correct
9 Correct 78 ms 10360 KB Output is correct
10 Correct 80 ms 10228 KB Output is correct
11 Correct 84 ms 10364 KB Output is correct
12 Correct 186 ms 14804 KB Output is correct
13 Correct 438 ms 56984 KB Output is correct
14 Correct 77 ms 10228 KB Output is correct
15 Correct 77 ms 10104 KB Output is correct
16 Correct 93 ms 11128 KB Output is correct
17 Correct 139 ms 19424 KB Output is correct
18 Correct 80 ms 10380 KB Output is correct
19 Correct 80 ms 10140 KB Output is correct
20 Correct 373 ms 29920 KB Output is correct
21 Correct 489 ms 57136 KB Output is correct
22 Correct 468 ms 57328 KB Output is correct
23 Correct 477 ms 56716 KB Output is correct
24 Correct 442 ms 56972 KB Output is correct
25 Correct 190 ms 20332 KB Output is correct
26 Correct 191 ms 20544 KB Output is correct
27 Correct 486 ms 57644 KB Output is correct
28 Correct 484 ms 57708 KB Output is correct
29 Correct 79 ms 10360 KB Output is correct
30 Correct 80 ms 10344 KB Output is correct
31 Correct 80 ms 10236 KB Output is correct
32 Correct 80 ms 10104 KB Output is correct
33 Correct 101 ms 10340 KB Output is correct
34 Correct 80 ms 10360 KB Output is correct
35 Correct 81 ms 10468 KB Output is correct
36 Correct 184 ms 14512 KB Output is correct
37 Correct 473 ms 56596 KB Output is correct
38 Correct 82 ms 10508 KB Output is correct
39 Correct 80 ms 10384 KB Output is correct
40 Correct 168 ms 14612 KB Output is correct
41 Correct 470 ms 57144 KB Output is correct
42 Correct 78 ms 10356 KB Output is correct
43 Correct 78 ms 10356 KB Output is correct
44 Correct 114 ms 11068 KB Output is correct
45 Correct 133 ms 19248 KB Output is correct
46 Correct 79 ms 10360 KB Output is correct
47 Correct 82 ms 10236 KB Output is correct
48 Correct 84 ms 10380 KB Output is correct
49 Correct 348 ms 29324 KB Output is correct
50 Correct 471 ms 57120 KB Output is correct
51 Correct 492 ms 57484 KB Output is correct
52 Correct 481 ms 57276 KB Output is correct
53 Correct 192 ms 20460 KB Output is correct
54 Correct 154 ms 19092 KB Output is correct
55 Correct 493 ms 56720 KB Output is correct
56 Correct 479 ms 56484 KB Output is correct
57 Correct 202 ms 20152 KB Output is correct
58 Correct 80 ms 10472 KB Output is correct
59 Correct 78 ms 10252 KB Output is correct
60 Correct 83 ms 10232 KB Output is correct
61 Correct 319 ms 27232 KB Output is correct
62 Correct 477 ms 57124 KB Output is correct
63 Correct 462 ms 57088 KB Output is correct
64 Correct 517 ms 58092 KB Output is correct
65 Correct 82 ms 10472 KB Output is correct
66 Correct 338 ms 26640 KB Output is correct
67 Correct 470 ms 56620 KB Output is correct
68 Correct 525 ms 57872 KB Output is correct
69 Correct 479 ms 57512 KB Output is correct
70 Correct 82 ms 10340 KB Output is correct
71 Correct 100 ms 10528 KB Output is correct
72 Incorrect 87 ms 10360 KB Too few ways to get from 0 to 1, should be 2 found 1
73 Halted 0 ms 0 KB -