[JLOI2009]二叉树问题

嘟嘟嘟

对于求深度和宽度都很好维护。深度dfs时维护就行,宽度统计同一个深度的节点有多少个,然后取max。

对于求距离,我刚开始以为是要走到根节点在回来,然后固输了(dep[u] - 1) * 2 + dep[v] - 1,结果竟然得了80分,数据有点水过头了……

实际上就是求LCA,然而因为只求一次,所以暴力就行啦~~

 1 #include<cstdio>
 2 #include<iostream>
 3 #include<algorithm>
 4 #include<cmath>
 5 #include<cstring>
 6 #include<cstdlib>
 7 #include<stack>
 8 #include<queue>
 9 #include<vector>
10 #include<cctype>
11 using namespace std;
12 #define enter puts("")
13 #define space putchar(' ')
14 #define Mem(a) memset(a, 0, sizeof(a))
15 typedef long long ll;
16 typedef double db;
17 const int INF = 0x3f3f3f3f;
18 const db eps = 1e-8;
19 const int maxn = 105;
20 inline ll read()
21 {
22     ll ans = 0;
23     char ch = getchar(), last = ' ';
24     while(!isdigit(ch)) {last = ch; ch = getchar();}
25     while(isdigit(ch)) {ans = ans * 10 + ch - '0'; ch = getchar();}
26     if(last == '-') ans = -ans;
27     return ans;
28 }
29 inline void write(ll x)
30 {
31     if(x < 0) putchar('-'), x = -x;
32     if(x >= 10) write(x / 10);
33     putchar(x % 10 + '0');
34 }
35 
36 int n, s, t;
37 vector<int> v[maxn];
38 
39 int dep[maxn], fa[maxn];
40 bool vis[maxn];
41 void dfs(int now)
42 {
43     vis[now] = 1;
44     for(int i = 0; i < (int)v[now].size(); ++i)
45     {
46         if(!vis[v[now][i]])
47         {
48             dep[v[now][i]] = dep[now] + 1;
49             fa[v[now][i]] = now;
50             dfs(v[now][i]);
51         }
52     }
53 }
54 
55 int cnt[maxn], Max_dep = -1, Max_wid = -1;
56 
57 int lca(int x, int y)
58 {
59     int ret = 0;
60     while(x != y)
61     {
62         if(dep[x] >= dep[y]) {x = fa[x]; ret += 2;}    //一定要有等于,否则同一深度就无限循环了 
63         else if(dep[x] < dep[y]) {y = fa[y]; ret++;}
64     }
65     return ret;
66 }
67 
68 int main()
69 {
70     n = read();
71     for(int i = 1; i < n; ++i) 
72     {
73         int x = read(), y = read();
74         v[x].push_back(y); v[y].push_back(x);
75     }
76     s = read(); t = read();
77     dep[1] = 1;
78     dfs(1);
79     for(int i = 1; i <= n; ++i)
80     {
81         Max_dep = max(Max_dep, dep[i]);
82         Max_wid = max(Max_wid, ++cnt[dep[i]]);
83     }
84     write(Max_dep); enter; write(Max_wid); enter;
85     write(lca(s, t));
86 //    write(((dep[s] - 1 ) << 1) + dep[t] - 1); enter;
87     return 0;
88 }
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转载自www.cnblogs.com/mrclr/p/9510291.html
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