QOJ.ac

QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#16517#791. Mousetrapjahayo20 330ms70300kbC++202.0kb2021-12-20 18:28:142022-05-04 09:11:59

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-05-04 09:11:59]
  • 评测
  • 测评结果:20
  • 用时:330ms
  • 内存:70300kb
  • [2021-12-20 18:28:14]
  • 提交

answer

#include<cstdio>
#include<vector>
using namespace std;
//令 f_i 表示耗子从这个节点进入子树后又把把耗子赶回来的最小步数
//取次大儿子转移,因为可以把通往 wi 最大的儿子的路封上,
//耗子就会走向次大儿子。
int m,n,from,to,root,oo,sm[1000500],s[1000500],top,
    f[1000500],du[1000500],fa[1000500];
vector<int> g[1000500];
bool e[1000500],asd;
void dfs(int num,int last)
{
  fa[num]=last;//还顺便处理了一个fa数组
  if(du[num]==0){f[num]=0;return ;}//边界
  int h1=0,h2=0;//h1:最大值; h2:次大值
  for (int i=0;i<g[num].size();i++)
   if (g[num][i]!=last){
     dfs(g[num][i],num);
     if (f[g[num][i]]>=h1)//注意等于号
      {h2=h1;h1=f[g[num][i]];}
  }f[num]=h2+du[num]-1;
}
//s数组按顺序(老鼠->根)存的是老鼠开始时的结点到根路径上的所有节点
bool check(int k)
{
  int sum=0,tmp;
  //有这个tmp的缘故是因为在j的循环内k--会WA,同一个结点的子树的k要求必然相同(感性理解,谢谢)
  for(int i=1;i<top;i++){
    tmp=0;
    for(int j=0;j<g[s[i]].size();j++){
      int v=g[s[i]][j];//某棵子树
      if(v!=s[i+1]&&//往上走的情况不在这里考虑,应该在下一次循环
         v!=s[i-1]&&//不能走回头路
         sm[i]+f[v]+1-(i!=1)>k)//不堵上就会TLE
           tmp++;//堵上
    }sum+=tmp;k-=tmp;//总操作次数增加,剩余操作次数减少
    if(k<0||//封堵的总次数>k
       sum>i)//管理者的手速不够快
    return 0;
  }return 1;
}
int main()
{
  scanf("%d%d%d",&n,&root,&m);
  for (int i=1;i<n;i++){
      from=i;to=i+1;
    scanf("%d%d",&from,&to);
    g[from].push_back(to);
    g[to].push_back(from);
    du[from]++;du[to]++;
  }dfs(root,0);
  f[root]=0;//边界
  for(int i=m;i;i=fa[i])s[++top]=i;
  for(int i=top-1;i;i--)sm[i]=sm[i+1]+du[s[i]]-1-(s[i]!=root);
  int l=0,r=1e8,mid;
  while(l<r){
    mid=(l+r)>>1;
    if(check(mid))r=mid;
    else l=mid+1;//二分,这里要+1
  }printf("%d",r);
  return 0;
}

详细

Subtask #1:

score: 20
Accepted

Test #1:

score: 20
Accepted
time: 4ms
memory: 26548kb

input:

10 2 10
2 1
3 2
4 2
5 3
6 3
7 4
8 4
9 5
10 5

output:

2

result:

ok single line: '2'

Test #2:

score: 0
Accepted
time: 1ms
memory: 26992kb

input:

10 1 10
2 1
3 2
4 2
5 3
6 3
7 4
8 4
9 5
10 5

output:

3

result:

ok single line: '3'

Test #3:

score: 0
Accepted
time: 8ms
memory: 27220kb

input:

10 1 10
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10

output:

0

result:

ok single line: '0'

Test #4:

score: 0
Accepted
time: 12ms
memory: 26576kb

input:

9 1 7
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 7ms
memory: 26864kb

input:

10 1 10
1 2
3 2
4 3
5 3
6 4
7 3
8 7
9 2
10 5

output:

3

result:

ok single line: '3'

Test #6:

score: 0
Accepted
time: 4ms
memory: 27052kb

input:

8 1 8
1 2
3 2
4 3
5 4
6 2
7 6
8 3

output:

2

result:

ok single line: '2'

Test #7:

score: 0
Accepted
time: 3ms
memory: 26640kb

input:

10 3 2
3 1
1 2
2 4
2 5
2 6
7 5
8 5
9 6
10 6

output:

5

result:

ok single line: '5'

Test #8:

score: 0
Accepted
time: 4ms
memory: 26708kb

input:

10 2 3
2 1
3 1
4 1
5 1
6 1
7 1
8 1
9 1
1 10

output:

7

result:

ok single line: '7'

Test #9:

score: 0
Accepted
time: 6ms
memory: 26788kb

input:

7 1 2
2 1
3 2
4 2
5 3
6 3
7 4

output:

3

result:

ok single line: '3'

Test #10:

score: 0
Accepted
time: 8ms
memory: 27220kb

input:

2 1 2
1 2

output:

0

result:

ok single line: '0'

Subtask #2:

score: 0
Wrong Answer

Test #11:

score: 0
Wrong Answer
time: 330ms
memory: 70300kb

input:

1000000 1 2
2 1
3 2
4 2
5 3
6 3
7 4
8 4
9 5
10 5
11 6
12 6
13 7
14 7
15 8
16 8
17 9
18 9
19 10
20 10
21 11
22 11
23 12
24 12
25 13
26 13
27 14
28 14
29 15
30 15
31 16
32 16
33 17
34 17
35 18
36 18
37 19
38 19
39 20
40 20
41 21
42 21
43 22
44 22
45 23
46 23
47 24
48 24
49 25
50 25
51 26
52 26
53 27
5...

output:

4

result:

wrong answer 1st lines differ - expected: '36', found: '4'

Subtask #3:

score: 0
Wrong Answer

Dependency #1:

100%
Accepted

Test #17:

score: 20
Accepted
time: 3ms
memory: 27528kb

input:

43 2 5
1 2
1 3
3 4
4 5
5 11
11 12
11 13
4 9
6 9
9 14
9 15
9 16
4 10
10 17
10 18
10 19
10 20
8 21
8 22
8 23
8 24
8 25
8 26
8 27
8 28
8 29
8 30
1 8
7 1
7 31
7 32
7 33
7 34
7 35
7 36
7 37
7 38
7 39
7 40
9 41
10 42
10 43

output:

7

result:

ok single line: '7'

Test #18:

score: 0
Accepted
time: 12ms
memory: 27564kb

input:

1000 1 1000
2 1
3 2
4 2
5 3
6 3
7 4
8 4
9 5
10 5
11 6
12 6
13 7
14 7
15 8
16 8
17 9
18 9
19 10
20 10
21 11
22 11
23 12
24 12
25 13
26 13
27 14
28 14
29 15
30 15
31 16
32 16
33 17
34 17
35 18
36 18
37 19
38 19
39 20
40 20
41 21
42 21
43 22
44 22
45 23
46 23
47 24
48 24
49 25
50 25
51 26
52 26
53 27
5...

output:

9

result:

ok single line: '9'

Test #19:

score: 0
Accepted
time: 0ms
memory: 27268kb

input:

999 1 20
2 1
3 2
4 2
5 3
6 3
7 4
8 4
9 5
10 5
11 6
12 6
13 7
14 7
15 8
16 8
17 9
18 9
19 10
20 10
21 11
22 11
23 12
24 12
25 13
26 13
27 14
28 14
29 15
30 15
31 16
32 16
33 17
34 17
35 18
36 18
37 19
38 19
39 20
40 20
41 21
42 21
43 22
44 22
45 23
46 23
47 24
48 24
49 25
50 25
51 26
52 26
53 27
54 2...

output:

14

result:

ok single line: '14'

Test #20:

score: 0
Accepted
time: 5ms
memory: 26908kb

input:

1000 1 998
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19
19 20
20 21
21 22
22 23
23 24
24 25
25 26
26 27
27 28
28 29
29 30
30 31
31 32
32 33
33 34
34 35
35 36
36 37
37 38
38 39
39 40
40 41
41 42
42 43
43 44
44 45
45 46
46 47
47 48
48 49
49 50
50 51
51 52
...

output:

1

result:

ok single line: '1'

Test #21:

score: 0
Accepted
time: 8ms
memory: 27516kb

input:

901 1 901
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19
19 20
20 21
21 22
22 23
23 24
24 25
25 26
26 27
27 28
28 29
29 30
30 31
31 32
32 33
33 34
34 35
35 36
36 37
37 38
38 39
39 40
40 41
41 42
42 43
43 44
44 45
45 46
46 47
47 48
48 49
49 50
50 51
51 52
5...

output:

0

result:

ok single line: '0'

Test #22:

score: 0
Accepted
time: 3ms
memory: 26716kb

input:

1000 1 150
1 2
3 2
4 3
5 2
6 5
7 2
8 6
9 2
10 4
11 3
12 10
13 12
14 11
15 3
16 12
17 12
18 14
19 18
20 10
21 4
22 13
23 13
24 13
25 10
26 13
27 17
28 20
29 14
30 29
31 21
32 29
33 27
34 19
35 7
36 24
37 2
38 6
39 17
40 19
41 40
42 23
43 15
44 17
45 25
46 14
47 24
48 13
49 32
50 28
51 3
52 42
53 52
5...

output:

31

result:

ok single line: '31'

Test #23:

score: -20
Wrong Answer
time: 7ms
memory: 26736kb

input:

998 1 833
1 2
3 2
4 3
5 4
6 4
7 2
8 7
9 7
10 5
11 3
12 3
13 10
14 6
15 10
16 13
17 2
18 13
19 8
20 15
21 10
22 11
23 13
24 13
25 5
26 21
27 4
28 12
29 4
30 9
31 28
32 21
33 32
34 24
35 33
36 14
37 29
38 31
39 5
40 6
41 12
42 24
43 27
44 21
45 12
46 18
47 13
48 39
49 40
50 13
51 50
52 3
53 40
54 32
5...

output:

39

result:

wrong answer 1st lines differ - expected: '40', found: '39'

Subtask #4:

score: 0
Skipped

Dependency #1:

100%
Accepted

Dependency #2:

0%