QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#785391#6421. Degree of Spanning TreelfyszyAC ✓376ms22480kbC++142.1kb2024-11-26 17:45:572024-11-26 17:45:57

Judging History

你现在查看的是最新测评结果

  • [2024-11-26 17:45:57]
  • 评测
  • 测评结果:AC
  • 用时:376ms
  • 内存:22480kb
  • [2024-11-26 17:45:57]
  • 提交

answer

#include <bits/stdc++.h>
#define int long long
#define chmax(x, y) x = max(x, y)
#define chmin(x, y) x = min(x, y)
#define SP << " " <<
#define fish signed
using namespace std;
mt19937 rnd(1209);
const int INF = 0x3f3f3f3f3f3f3f3f;
const int N = 1e5 + 10;
vector<pair<int, int>> g;
vector<int> e[N];
int fa[N], fa1[N], d[N];
int find(int x) {return fa[x] == x ? x : fa[x] = find(fa[x]);}
set<pair<int, int>> edge;
void dfs(int u, int f)
{
    fa1[u] = f; if(f) edge.insert({u, f});
    for(auto v : e[u]) if(v != f) dfs(v, u);
}
void solve()
{
    int n, m; cin >> n >> m;
    for(int i = 1; i <= n; i ++) fa[i] = i, d[i] = 0, e[i].clear();
    g.clear(); edge.clear();
    for(int i = 1; i <= m; i ++)
    {
        int u, v; cin >> u >> v;
        int fu = find(u), fv = find(v);
        if(fu != fv)
        {
            fa[fu] = fv;
            e[u].push_back(v), e[v].push_back(u);
            d[u] ++, d[v] ++;
        }
        else g.push_back({u, v});
    }
    int rt = 0;
    for(int i = 1; i <= n; i ++) if(d[i] > d[rt]) rt = i;
    dfs(rt, 0);
    for(int i = 1; i <= n; i ++) if(fa1[i] != rt) fa[i] = fa1[i]; else fa[i] = i;
    for(auto x : g)
    {
        if(d[rt] <= n / 2) break;
        int u = x.first, v = x.second;
        int fu = find(u), fv = find(v);
        if(fu == fv) continue;
        if(d[fu] > d[fv]) swap(fu, fv), swap(u, v);
        d[u] ++, d[v] ++, d[fv] --, d[rt] --;
        if(d[u] > n / 2 || d[v] > n / 2) {d[u] --, d[v] --, d[fv] ++, d[rt] ++;continue;}
        edge.erase({fv, rt});
        edge.insert({v, u});
        fa[fv] = fu;
    }
    rt = 0;
    for(int i = 1; i <= n; i ++) if(d[i] > d[rt]) rt = i;
    if(d[rt] <= n / 2)
    {
        cout << "Yes\n";
        assert(edge.size() <= n - 1);
        for(auto v : edge) cout << v.first SP v.second << "\n";
    }
    else cout << "No\n";
}
fish main()
{
    // freopen(".in", "r", stdin);
    // freopen(".out", "w", stdout);
    ios::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    int t; cin >> t;
    while(t --) solve();
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 7400kb

input:

2
6 9
1 2
1 3
1 4
2 3
2 4
3 4
4 5
4 6
4 6
3 4
1 3
2 3
3 3
1 2

output:

Yes
2 1
3 1
4 1
5 4
6 4
No

result:

ok 2 cases

Test #2:

score: 0
Accepted
time: 181ms
memory: 10468kb

input:

11140
10 15
9 6
5 7
6 5
2 3
7 5
7 5
3 10
9 7
5 5
9 1
7 5
2 8
7 5
4 3
6 2
9 19
3 7
3 9
2 8
2 8
3 6
5 1
1 8
8 9
8 3
4 8
5 5
3 1
4 3
1 3
8 6
1 3
7 4
4 3
8 8
12 20
10 2
5 5
2 4
3 3
3 3
5 11
9 2
5 5
7 12
11 3
3 3
3 5
5 3
3 1
4 6
7 11
6 8
4 5
6 12
6 5
8 18
4 2
4 3
2 4
2 4
4 3
4 8
2 2
6 7
2 4
6 2
1 4
8 7
4...

output:

Yes
1 9
3 2
4 3
5 6
6 2
7 5
8 2
9 6
10 3
Yes
1 8
2 8
3 9
4 8
5 1
6 3
7 3
9 8
Yes
1 3
3 11
4 2
5 4
6 4
7 11
8 6
9 2
10 2
11 5
12 7
Yes
1 4
2 4
3 4
5 7
6 2
7 6
8 4
Yes
1 5
2 9
3 2
4 3
6 5
7 5
8 7
9 5
Yes
1 6
3 2
4 6
5 2
6 2
7 1
8 10
9 1
10 2
Yes
1 7
2 6
3 1
4 5
5 7
6 7
Yes
2 6
3 12
4 1
5 4
6 1
7 8
8 2...

result:

ok 11140 cases

Test #3:

score: 0
Accepted
time: 376ms
memory: 21628kb

input:

5
100000 197799
37555 22723
91160 32701
6451 4416
43186 26432
9750 82955
28292 33907
91534 78442
17771 67061
40351 28116
21494 23114
34672 66640
72636 95093
13033 6538
53698 87837
79541 71230
53985 63500
84753 5378
67971 56748
90951 20169
4465 97293
18331 53564
41043 95738
48579 96439
90865 7526
391...

output:

Yes
1 1295
2 23589
3 44515
4 92524
5 57297
6 86612
7 98458
8 48558
9 79888
10 10575
11 4168
12 2855
13 73256
14 58500
15 66799
16 7422
17 95854
18 74022
19 62023
20 18071
21 14097
22 26485
23 28817
24 74947
25 68588
26 94611
27 15137
28 81313
29 70880
30 879
31 18240
32 71835
33 69791
34 72903
35 55...

result:

ok 5 cases

Test #4:

score: 0
Accepted
time: 276ms
memory: 22480kb

input:

5
100000 100000
98195 31806
98195 70169
92153 98195
98195 46320
94369 56771
94369 49988
74295 98195
33796 98195
89903 94369
98195 1814
82388 98195
10189 94369
98195 6267
29845 98195
22425 94369
6241 98195
98195 33204
66516 98195
94369 71364
26277 94369
94369 94722
94369 25349
14629 98195
9329 98195
...

output:

Yes
1 98195
2 98195
3 98195
4 94369
5 94369
6 98195
7 94369
8 98195
9 94369
10 98195
11 98195
12 94369
13 98195
14 94369
15 94369
16 94369
17 98195
18 98195
19 98195
20 94369
21 94369
22 94369
23 94369
24 94369
25 94369
26 94369
27 94369
28 94369
29 98195
30 94369
31 94369
32 98195
33 98195
34 94369...

result:

ok 5 cases

Test #5:

score: 0
Accepted
time: 374ms
memory: 22100kb

input:

5
100000 149998
50735 5447
50735 24875
15119 49666
50735 30352
44756 49555
26546 32695
98445 50735
71657 50735
92212 50735
50735 19382
30935 50735
43688 46767
54630 54562
31371 50735
48877 50735
78593 76833
74317 37258
50735 48236
67116 50735
36579 50735
37536 44353
50735 46602
35088 29568
86657 507...

output:

Yes
1 35019
2 50735
3 50735
4 50735
5 50200
6 22341
7 50735
8 2615
9 63844
10 50735
11 1279
12 50735
13 36941
14 50735
15 52058
16 50735
17 11154
18 99130
19 58578
20 6935
21 50735
22 52001
23 50735
24 50735
25 19097
26 50735
27 25550
28 81821
29 60031
30 31920
31 50735
32 50735
33 50735
34 50735
35...

result:

ok 5 cases

Test #6:

score: 0
Accepted
time: 186ms
memory: 20028kb

input:

11102
14 14
9 10
10 14
9 11
10 2
9 14
9 5
10 13
9 8
4 9
3 10
10 1
12 10
10 6
9 7
6 6
3 2
3 5
2 6
1 6
3 4
3 6
5 5
3 2
2 1
4 5
2 5
5 3
8 8
5 6
4 6
8 6
8 4
6 1
8 3
2 8
7 8
12 12
8 12
12 2
4 12
9 12
12 3
1 12
1 8
6 8
11 8
7 8
8 10
12 5
15 15
9 15
6 15
13 8
15 3
8 11
15 12
8 2
15 4
8 10
15 8
15 14
8 4
7 ...

output:

Yes
1 10
2 10
3 10
4 9
5 9
6 10
7 9
8 9
9 14
11 9
12 10
13 10
14 10
Yes
1 6
2 3
4 3
5 3
6 2
Yes
1 2
3 2
4 5
5 3
Yes
1 6
2 8
3 8
4 6
5 6
7 8
8 6
Yes
1 12
2 12
3 12
4 12
5 12
6 8
7 8
8 1
9 12
10 8
11 8
Yes
1 15
2 8
3 15
4 15
5 8
6 15
7 8
8 4
9 15
10 8
11 8
12 15
13 8
14 15
Yes
1 9
2 3
4 9
5 9
6 3
7 3
...

result:

ok 11102 cases

Test #7:

score: 0
Accepted
time: 245ms
memory: 20440kb

input:

11102
14 19
9 3
3 6
8 3
2 14
7 3
11 3
13 9
3 14
3 5
2 3
7 4
1 10
13 3
4 3
3 1
3 10
12 8
11 6
3 12
11 15
9 11
10 7
1 2
9 6
11 2
11 10
8 11
11 5
3 8
11 4
11 3
11 7
1 11
5 4
6 11
5 6
1 2
4 3
3 5
1 3
5 4
3 2
12 16
8 11
12 10
12 3
5 7
12 5
1 12
9 4
12 2
6 12
12 8
10 1
12 11
7 12
12 9
3 2
4 12
6 7
3 1
6 3...

output:

Yes
1 3
2 14
4 7
5 3
6 11
7 3
8 3
9 3
10 1
11 3
12 8
13 9
14 3
Yes
1 2
2 11
3 8
4 5
5 11
6 9
7 10
8 11
9 11
10 11
Yes
1 3
2 1
4 5
5 3
Yes
1 10
2 3
3 12
4 9
5 12
6 12
7 5
8 12
9 12
10 12
11 8
Yes
1 5
2 3
4 3
5 3
6 4
Yes
2 5
3 4
4 1
5 1
6 1
Yes
1 2
2 6
3 6
4 6
5 7
7 6
8 9
9 6
10 3
11 4
Yes
1 5
2 5
3 5...

result:

ok 11102 cases

Test #8:

score: 0
Accepted
time: 118ms
memory: 8100kb

input:

100000
5 7
2 5
1 4
2 1
1 3
5 1
4 2
2 3
5 7
2 4
4 3
2 1
4 5
2 5
1 4
3 2
5 7
5 1
4 2
4 5
4 3
4 1
3 1
2 1
5 7
4 1
4 3
3 5
2 5
4 5
2 4
1 5
5 7
5 2
2 1
5 4
2 4
4 3
3 2
1 4
5 7
2 4
5 1
1 3
2 1
2 3
4 1
2 5
5 7
5 4
4 2
5 2
3 5
4 1
5 1
4 3
5 7
1 5
2 3
2 5
2 4
3 5
4 5
1 2
5 7
1 3
5 2
2 4
1 2
5 3
2 3
4 3
5 7
3...

output:

Yes
2 4
3 1
4 1
5 2
Yes
1 2
2 5
3 4
5 4
Yes
1 3
1 5
2 4
3 4
Yes
1 4
2 5
4 3
5 3
Yes
1 2
3 4
4 5
5 2
Yes
2 3
3 1
4 2
5 1
Yes
1 4
2 4
3 5
5 2
Yes
1 5
3 2
4 2
5 3
Yes
3 1
3 5
4 2
5 2
Yes
2 1
3 1
5 3
5 4
Yes
1 2
3 5
4 2
5 1
Yes
1 2
2 4
3 5
4 5
Yes
2 5
3 1
3 4
4 5
Yes
1 5
2 4
3 4
5 2
Yes
1 3
2 1
3 4
5 4
...

result:

ok 100000 cases

Test #9:

score: 0
Accepted
time: 60ms
memory: 7044kb

input:

1000
5 970
3 1
4 3
3 1
1 3
2 3
2 3
3 2
2 3
2 3
2 3
3 2
3 2
3 1
2 3
3 2
3 2
2 3
2 3
3 2
3 2
2 3
3 2
2 3
2 3
3 5
2 3
2 3
2 3
3 2
3 2
5 3
2 3
3 2
2 3
3 2
3 2
3 1
3 2
3 5
3 2
2 1
2 3
3 5
2 3
2 3
5 3
3 2
3 1
3 2
3 2
1 3
4 3
3 1
4 3
5 3
3 2
3 4
2 3
3 5
2 3
3 1
3 2
2 3
4 3
2 3
2 3
1 3
3 1
2 3
3 2
3 2
2 3
2...

output:

Yes
1 2
2 5
4 3
5 3
Yes
1 3
2 5
4 3
5 4
Yes
1 5
3 5
4 2
4 3
Yes
1 4
2 4
3 5
5 1
Yes
1 3
2 5
4 3
5 1
Yes
2 3
3 1
4 2
5 1
Yes
1 2
1 5
3 4
5 4
Yes
2 1
3 1
4 2
5 4
Yes
2 4
3 1
3 5
5 4
Yes
2 5
3 1
4 2
5 1
Yes
2 3
4 1
4 5
5 3
Yes
1 4
2 5
3 5
4 3
Yes
1 2
3 2
4 1
5 4
Yes
2 1
2 3
3 5
4 5
Yes
1 3
1 4
3 2
5 2
...

result:

ok 1000 cases

Test #10:

score: 0
Accepted
time: 103ms
memory: 6600kb

input:

100000
5 5
5 1
1 3
3 5
2 3
4 1
5 5
3 1
3 4
1 5
5 2
5 3
5 5
2 5
1 2
4 5
4 3
2 4
5 5
1 2
4 3
2 4
4 1
5 1
5 5
5 2
3 2
1 4
1 2
3 1
5 5
2 5
1 3
4 5
1 2
5 1
5 5
1 5
5 2
4 5
1 4
3 4
5 5
4 2
1 2
1 4
5 1
3 4
5 5
1 3
5 2
5 4
5 1
1 4
5 5
2 3
4 5
2 4
3 4
1 3
5 5
1 4
4 5
2 5
3 4
5 3
5 5
4 1
4 5
4 3
3 2
1 3
5 5
3...

output:

Yes
2 3
3 5
4 1
5 1
Yes
2 5
3 1
4 3
5 1
Yes
1 2
3 4
4 5
5 2
Yes
2 1
3 4
4 2
5 1
Yes
1 3
3 2
4 1
5 2
Yes
2 1
3 1
4 5
5 2
Yes
1 5
2 5
3 4
4 1
Yes
2 1
3 4
4 2
5 1
Yes
1 4
2 5
3 1
4 5
Yes
1 3
3 2
4 2
5 4
Yes
1 4
2 5
3 4
5 3
Yes
1 4
2 3
3 1
5 4
Yes
2 5
3 2
4 1
5 1
Yes
1 2
3 5
4 2
5 1
Yes
2 1
3 5
4 3
5 1
...

result:

ok 100000 cases