Submission #349565

# Submission time Handle Problem Language Result Execution time Memory
349565 2021-01-17T20:24:55 Z justiny7 Connecting Supertrees (IOI20_supertrees) C++14
100 / 100
272 ms 24220 KB
#include "supertrees.h"
#include <bits/stdc++.h>
#define eb emplace_back
using namespace std;
using vb=vector<bool>;
using vi=vector<int>;
using vvi=vector<vi>;

const int mxN=1e3+1;
int n;
vb vis;
vvi ans;

struct DSU {
    int par[mxN], sz[mxN];
    DSU() {
        for (int i=0; i<n; ++i)
            par[i]=i, sz[i]=1;
    }
    int find(int v) {
        return (par[v]==v?v:par[v]=find(par[v]));
    }
    bool merge(int a, int b) {
        a=find(a), b=find(b);
        if (a==b)
            return 0;
        if (sz[a]>sz[b])
            swap(a, b);
        par[a]=b, sz[b]+=sz[a];
        return 1;
    }
    bool same(int a, int b) {
        return (find(a)==find(b));
    }
};

int construct(vvi p) {
    n=p.size();
    ans=vvi(n, vi(n));
    DSU d[4];
    for (int i=0; i<n; ++i)
        for (int j=0; j<n; ++j)
            if (p[i][j] && p[i][j]^2)
                d[p[i][j]].merge(i, j);
    for (int i=0; i<n; ++i)
        for (int j=0; j<n; ++j) {
            if (p[i][j]==2)
                d[2].merge(d[1].find(i), d[1].find(j));
            else if (!p[i][j]) {
                for (int k=1; k<4; ++k)
                    if (d[k].same(i, j))
                        return 0;
            }
        }
    vis=vb(n);
    for (int i=0; i<n; ++i) {
        if (vis[d[1].find(i)])
            continue;
        vis[d[1].find(i)]=1;
        for (int j=0; j<n; ++j)
            if (i^j && d[1].same(i, j)) {
                if (p[i]!=p[j])
                    return 0;
                ans[i][j]=ans[j][i]=1;
            }
    }
    vis=vb(n);
    for (int i=0; i<n; ++i) {
        if (vis[d[2].find(i)])
            continue;
        vis[d[2].find(i)]=1;
        vi v;
        for (int j=0; j<n; ++j)
            if (d[2].same(i, j) && find(v.begin(), v.end(), j)==v.end())
                v.eb(j);
        int sz=v.size();
        if (sz==1)
            continue;
        if (sz==2)
            return 0;
        for (int j=0; j<sz; ++j) {
            if (j)
                ans[v[j]][v[j-1]]=ans[v[j-1]][v[j]]=1;
            if (j<sz-1)
                ans[v[j]][v[j+1]]=ans[v[j+1]][v[j]]=1;
        }
        ans[v[0]][v.back()]=ans[v.back()][v[0]]=1;
    }
    vis=vb(n);
    for (int i=0; i<n; ++i) {
        if (vis[d[3].find(i)])
            continue;
        vis[d[3].find(i)]=1;
        vi v;
        bool f=1;
        for (int j=0; j<n; ++j) {
            if (d[3].same(i, j))
                v.eb(j);
            if (i^j)
                f&=(p[i][j]==3 || !p[i][j]);
        }
        int sz=v.size();
        if (sz==1)
            continue;
        if (f || sz^4)
            return 0;
        ans[v[0]][v[1]]=ans[v[1]][v[0]]=1;
        ans[v[1]][v[2]]=ans[v[2]][v[1]]=1;
        ans[v[2]][v[3]]=ans[v[3]][v[2]]=1;
        ans[v[0]][v[3]]=ans[v[3]][v[0]]=1;
        ans[v[0]][v[2]]=ans[v[2]][v[0]]=1;
    }
    build(ans);
    return 1;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 11 ms 1260 KB Output is correct
7 Correct 252 ms 22124 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 11 ms 1260 KB Output is correct
7 Correct 252 ms 22124 KB Output is correct
8 Correct 0 ms 364 KB Output is correct
9 Correct 0 ms 364 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 16 ms 1260 KB Output is correct
13 Correct 254 ms 22144 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 6 ms 876 KB Output is correct
17 Correct 116 ms 12352 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 0 ms 364 KB Output is correct
20 Correct 65 ms 5868 KB Output is correct
21 Correct 254 ms 22112 KB Output is correct
22 Correct 257 ms 22252 KB Output is correct
23 Correct 271 ms 22124 KB Output is correct
24 Correct 254 ms 22252 KB Output is correct
25 Correct 102 ms 12140 KB Output is correct
26 Correct 98 ms 12140 KB Output is correct
27 Correct 272 ms 22124 KB Output is correct
28 Correct 252 ms 22124 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 0 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 0 ms 364 KB Output is correct
7 Correct 0 ms 364 KB Output is correct
8 Correct 11 ms 1260 KB Output is correct
9 Correct 253 ms 22112 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 0 ms 364 KB Output is correct
12 Correct 10 ms 1260 KB Output is correct
13 Correct 247 ms 22124 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 0 ms 364 KB Output is correct
16 Correct 5 ms 876 KB Output is correct
17 Correct 112 ms 12268 KB Output is correct
18 Correct 0 ms 364 KB Output is correct
19 Correct 0 ms 364 KB Output is correct
20 Correct 0 ms 364 KB Output is correct
21 Correct 68 ms 5848 KB Output is correct
22 Correct 255 ms 22124 KB Output is correct
23 Correct 256 ms 22124 KB Output is correct
24 Correct 263 ms 22124 KB Output is correct
25 Correct 111 ms 12140 KB Output is correct
26 Correct 99 ms 12140 KB Output is correct
27 Correct 252 ms 22124 KB Output is correct
28 Correct 267 ms 22124 KB Output is correct
29 Correct 111 ms 12268 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 64 ms 5868 KB Output is correct
5 Correct 256 ms 22112 KB Output is correct
6 Correct 261 ms 22252 KB Output is correct
7 Correct 269 ms 22124 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 64 ms 5868 KB Output is correct
10 Correct 252 ms 22112 KB Output is correct
11 Correct 253 ms 22124 KB Output is correct
12 Correct 270 ms 22124 KB Output is correct
13 Correct 0 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 0 ms 364 KB Output is correct
16 Correct 65 ms 6380 KB Output is correct
17 Correct 254 ms 24044 KB Output is correct
18 Correct 265 ms 24172 KB Output is correct
19 Correct 266 ms 24044 KB Output is correct
20 Correct 265 ms 24220 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 11 ms 1260 KB Output is correct
7 Correct 252 ms 22124 KB Output is correct
8 Correct 0 ms 364 KB Output is correct
9 Correct 0 ms 364 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 16 ms 1260 KB Output is correct
13 Correct 254 ms 22144 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 6 ms 876 KB Output is correct
17 Correct 116 ms 12352 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 0 ms 364 KB Output is correct
20 Correct 65 ms 5868 KB Output is correct
21 Correct 254 ms 22112 KB Output is correct
22 Correct 257 ms 22252 KB Output is correct
23 Correct 271 ms 22124 KB Output is correct
24 Correct 254 ms 22252 KB Output is correct
25 Correct 102 ms 12140 KB Output is correct
26 Correct 98 ms 12140 KB Output is correct
27 Correct 272 ms 22124 KB Output is correct
28 Correct 252 ms 22124 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 0 ms 364 KB Output is correct
31 Correct 0 ms 364 KB Output is correct
32 Correct 0 ms 364 KB Output is correct
33 Correct 0 ms 364 KB Output is correct
34 Correct 0 ms 364 KB Output is correct
35 Correct 0 ms 364 KB Output is correct
36 Correct 11 ms 1260 KB Output is correct
37 Correct 253 ms 22112 KB Output is correct
38 Correct 1 ms 364 KB Output is correct
39 Correct 0 ms 364 KB Output is correct
40 Correct 10 ms 1260 KB Output is correct
41 Correct 247 ms 22124 KB Output is correct
42 Correct 1 ms 364 KB Output is correct
43 Correct 0 ms 364 KB Output is correct
44 Correct 5 ms 876 KB Output is correct
45 Correct 112 ms 12268 KB Output is correct
46 Correct 0 ms 364 KB Output is correct
47 Correct 0 ms 364 KB Output is correct
48 Correct 0 ms 364 KB Output is correct
49 Correct 68 ms 5848 KB Output is correct
50 Correct 255 ms 22124 KB Output is correct
51 Correct 256 ms 22124 KB Output is correct
52 Correct 263 ms 22124 KB Output is correct
53 Correct 111 ms 12140 KB Output is correct
54 Correct 99 ms 12140 KB Output is correct
55 Correct 252 ms 22124 KB Output is correct
56 Correct 267 ms 22124 KB Output is correct
57 Correct 111 ms 12268 KB Output is correct
58 Correct 0 ms 364 KB Output is correct
59 Correct 1 ms 364 KB Output is correct
60 Correct 5 ms 876 KB Output is correct
61 Correct 112 ms 12268 KB Output is correct
62 Correct 0 ms 364 KB Output is correct
63 Correct 0 ms 364 KB Output is correct
64 Correct 1 ms 364 KB Output is correct
65 Correct 65 ms 5868 KB Output is correct
66 Correct 101 ms 14188 KB Output is correct
67 Correct 107 ms 14188 KB Output is correct
68 Correct 102 ms 14188 KB Output is correct
69 Correct 109 ms 14188 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 11 ms 1260 KB Output is correct
7 Correct 252 ms 22124 KB Output is correct
8 Correct 0 ms 364 KB Output is correct
9 Correct 0 ms 364 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 16 ms 1260 KB Output is correct
13 Correct 254 ms 22144 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 6 ms 876 KB Output is correct
17 Correct 116 ms 12352 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 0 ms 364 KB Output is correct
20 Correct 65 ms 5868 KB Output is correct
21 Correct 254 ms 22112 KB Output is correct
22 Correct 257 ms 22252 KB Output is correct
23 Correct 271 ms 22124 KB Output is correct
24 Correct 254 ms 22252 KB Output is correct
25 Correct 102 ms 12140 KB Output is correct
26 Correct 98 ms 12140 KB Output is correct
27 Correct 272 ms 22124 KB Output is correct
28 Correct 252 ms 22124 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 0 ms 364 KB Output is correct
31 Correct 0 ms 364 KB Output is correct
32 Correct 0 ms 364 KB Output is correct
33 Correct 0 ms 364 KB Output is correct
34 Correct 0 ms 364 KB Output is correct
35 Correct 0 ms 364 KB Output is correct
36 Correct 11 ms 1260 KB Output is correct
37 Correct 253 ms 22112 KB Output is correct
38 Correct 1 ms 364 KB Output is correct
39 Correct 0 ms 364 KB Output is correct
40 Correct 10 ms 1260 KB Output is correct
41 Correct 247 ms 22124 KB Output is correct
42 Correct 1 ms 364 KB Output is correct
43 Correct 0 ms 364 KB Output is correct
44 Correct 5 ms 876 KB Output is correct
45 Correct 112 ms 12268 KB Output is correct
46 Correct 0 ms 364 KB Output is correct
47 Correct 0 ms 364 KB Output is correct
48 Correct 0 ms 364 KB Output is correct
49 Correct 68 ms 5848 KB Output is correct
50 Correct 255 ms 22124 KB Output is correct
51 Correct 256 ms 22124 KB Output is correct
52 Correct 263 ms 22124 KB Output is correct
53 Correct 111 ms 12140 KB Output is correct
54 Correct 99 ms 12140 KB Output is correct
55 Correct 252 ms 22124 KB Output is correct
56 Correct 267 ms 22124 KB Output is correct
57 Correct 111 ms 12268 KB Output is correct
58 Correct 0 ms 364 KB Output is correct
59 Correct 0 ms 364 KB Output is correct
60 Correct 1 ms 364 KB Output is correct
61 Correct 64 ms 5868 KB Output is correct
62 Correct 256 ms 22112 KB Output is correct
63 Correct 261 ms 22252 KB Output is correct
64 Correct 269 ms 22124 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Correct 64 ms 5868 KB Output is correct
67 Correct 252 ms 22112 KB Output is correct
68 Correct 253 ms 22124 KB Output is correct
69 Correct 270 ms 22124 KB Output is correct
70 Correct 0 ms 364 KB Output is correct
71 Correct 1 ms 364 KB Output is correct
72 Correct 0 ms 364 KB Output is correct
73 Correct 65 ms 6380 KB Output is correct
74 Correct 254 ms 24044 KB Output is correct
75 Correct 265 ms 24172 KB Output is correct
76 Correct 266 ms 24044 KB Output is correct
77 Correct 265 ms 24220 KB Output is correct
78 Correct 0 ms 364 KB Output is correct
79 Correct 1 ms 364 KB Output is correct
80 Correct 5 ms 876 KB Output is correct
81 Correct 112 ms 12268 KB Output is correct
82 Correct 0 ms 364 KB Output is correct
83 Correct 0 ms 364 KB Output is correct
84 Correct 1 ms 364 KB Output is correct
85 Correct 65 ms 5868 KB Output is correct
86 Correct 101 ms 14188 KB Output is correct
87 Correct 107 ms 14188 KB Output is correct
88 Correct 102 ms 14188 KB Output is correct
89 Correct 109 ms 14188 KB Output is correct
90 Correct 1 ms 364 KB Output is correct
91 Correct 1 ms 364 KB Output is correct
92 Correct 5 ms 876 KB Output is correct
93 Correct 116 ms 14188 KB Output is correct
94 Correct 1 ms 364 KB Output is correct
95 Correct 1 ms 364 KB Output is correct
96 Correct 1 ms 364 KB Output is correct
97 Correct 30 ms 3820 KB Output is correct
98 Correct 118 ms 14188 KB Output is correct
99 Correct 120 ms 14188 KB Output is correct
100 Correct 114 ms 14212 KB Output is correct
101 Correct 115 ms 14188 KB Output is correct
102 Correct 123 ms 14188 KB Output is correct
103 Correct 123 ms 14316 KB Output is correct
104 Correct 110 ms 14188 KB Output is correct
105 Correct 123 ms 14188 KB Output is correct