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zoj 3195 Design the city (lca,dfs+rmq)

·518 字·2 分钟

zoj 3195题目链接 题意:求树上三点的最短距离。。。 思路:两两求,和除以2. 因为忘记初始化p=0..WA了将近两个小时。。。? 妈的智障。

代码实现
  1/* ***********************************************
  2Author :111qqz
  3Created Time :2016年05月21日 星期六 14时44分39秒
  4File Name :code/zoj/3195.cpp
  5************************************************ */
  6
  7
  8
  9#include <cstdio>
 10#include <cstring>
 11#include <iostream>
 12#include <algorithm>
 13#include <vector>
 14#include <queue>
 15#include <set>
 16#include <map>
 17#include <string>
 18#include <cmath>
 19#include <cstdlib>
 20#include <ctime>
 21#define fst first
 22#define sec second
 23#define lson l,m,rt<<1
 24#define rson m+1,r,rt<<1|1
 25#define ms(a,x) memset(a,x,sizeof(a))
 26typedef long long LL;
 27#define pi pair < int ,int >
 28#define MP make_pair
 29
 30using namespace std;
 31const double eps = 1E-8;
 32const int dx4[4]={1,0,0,-1};
 33const int dy4[4]={0,-1,1,0};
 34const int inf = 0x3f3f3f3f;
 35const int N=5E4+7;
 36int n,m;
 37vector < pi > edge[N];
 38int q;
 39int in[N];
 40int E[2*N],R[2*N],dis[N],depth[2*N];
 41int p;
 42int dp[2*N][20];
 43void dfs( int u,int dep,int d,int pre)
 44{
 45
 46  //  cout<<"u:"<<u<<" dep:"<<dep<<" d:"<<d<<endl;
 47    p++;
 48    E[p] = u;
 49    depth[p] = dep;
 50    R[u] = p ;
 51    dis[u] = d;
 52
 53
 54    int siz = edge[u].size();
 55    for ( int i = 0 ; i < siz ; i++)
 56    {
 57	int v = edge[u][i].fst;
 58	if (v==pre) continue;
 59	dfs(v,dep+1,d+edge[u][i].sec,u);
 60
 61	p++;
 62	E[p] = u;
 63	depth[p] = dep;
 64    }
 65}
 66
 67
 68
 69int _min( int l,int r)
 70{
 71    if (depth[l]<depth[r]) return l;
 72    return r;
 73}
 74void rmq_init()
 75{
 76    for ( int i = 1 ; i <= 2*n+2 ; i++) dp[i][0] = i;
 77
 78    for ( int j = 1 ; (1<<j) <= 2*n+2 ; j++)
 79	for ( int i = 1 ; i + (1<<j)-1 <= 2*n+2 ; i++)
 80	dp[i][j] = _min(dp[i][j-1],dp[i+(1<<(j-1))][j-1]);
 81}
 82
 83int rmq_min( int l,int r)
 84{
 85    if (l>r) swap(l,r);
 86    int k = 0 ;
 87    while (1<<(k+1)<=r-l+1) k++;
 88    return _min(dp[l][k],dp[r-(1<<k)+1][k]);
 89}
 90int solve (int x,int y)
 91{
 92    int LCA = E[rmq_min(R[x],R[y])];
 93    int res = dis[x] + dis[y] - 2 * dis[LCA];
 94    return res;
 95}
 96int main()
 97{
 98    #ifndef  ONLINE_JUDGE
 99	freopen("code/in.txt","r",stdin);
100  #endif
101
102	ms(in,0);
103	bool ok = false;
104	while (~scanf("%d",&n)){
105	    if (ok) puts("");
106	    ok = true;
107	    for ( int i = 0 ; i <= n ; i++) edge[i].clear();
108	    for ( int i = 1 ; i <= n-1 ; i++)
109	    {
110		int u,v,w;
111		scanf("%d%d%d",&u,&v,&w);
112		edge[u].push_back(make_pair(v,w));
113		edge[v].push_back(make_pair(u,w));
114	    }
115
116
117	    p = 0 ;
118	    dfs(0,0,0,-1);
119	    rmq_init();
120
121	    scanf("%d",&q);
122	    while (q--)
123	    {
124		int x,y,z;
125		scanf("%d%d%d",&x,&y,&z);
126		int ans = solve(x,y)+solve(x,z)+solve(y,z);
127		printf("%d\n",ans/2);
128	    }
129	}
130
131#ifndef ONLINE_JUDGE
132	fclose(stdin);
133#endif
134    return 0;
135}

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poj 1986 Distance Queries (lca,在线做法dfs+rmq)

·508 字·2 分钟
题目链接 题意:求树上两点的最短距离? 思路: dis[i]表示点i到根节点的距离,那么任意两点u,v的最短距离d = dis[u]+dis[v]-2*dis[LCA(u,v)]. 只需要求出rmq+dfs的在线方法求出lca(u,v)即可。

poj 1470 Closest Common Ancestors (lca,rmq+dfs,读入技巧)

·581 字·2 分钟
poj1470题目链接 题意:求两点的lca. 思路:dfs+rmq. 读入技巧。 读入比较坑爹。。。 学会了一种新的读入技巧。 scanf("%2s",st); 表示读一个长度为2的字符串。。。读的时候会忽略各种空白字符。 代码实现 1/* *********************************************** 2Author :111qqz 3Created Time :2016年05月19日 星期四 15时44分12秒 4File Name :code/poj/1470.cpp 5************************************************ */ 6 7#include <cstdio> 8#include <cstring> 9#include <iostream> 10#include <algorithm> 11#include <vector> 12#include <queue> 13#include <set> 14#include <map> 15#include <string> 16#include <cmath> 17#include <cstdlib> 18#include <ctime> 19#define fst first 20#define sec second 21#define lson l,m,rt<<1 22#define rson m+1,r,rt<<1|1 23#define ms(a,x) memset(a,x,sizeof(a)) 24typedef long long LL; 25#define pi pair < int ,int > 26#define MP make_pair 27 28using namespace std; 29const double eps = 1E-8; 30const int dx4[4]={1,0,0,-1}; 31const int dy4[4]={0,-1,1,0}; 32const int inf = 0x3f3f3f3f; 33const int N=905; 34int n; 35vector <int> edge[N]; 36int in[N]; 37int E[2*N],R[2*N]; 38int depth[2*N]; 39int p; 40int dp[2*N][12]; 41int cnt[N]; 42void dfs( int u,int dep) 43{ 44 p++; 45 E[p] = u ; 46 depth[p] = dep; 47 R[u] = p; 48 int siz = edge[u].size(); 49 for ( int i = 0 ; i < siz ; i ++) 50 { 51 int v = edge[u][i]; 52 53 dfs(v,dep+1); 54 p++; 55 E[p] = u; 56 depth[p] = dep; 57 } 58} 59 60int _min( int l,int r) 61{ 62 if (depth[l]<depth[r]) return l; 63 return r; 64} 65void rmq_init() 66{ 67 for ( int i = 1 ; i <=2*n+2 ; i++) dp[i][0] = i; 68 69 for ( int j = 1 ; (1<<j) <= 2*n+2 ; j++) 70 for ( int i = 1 ; i + (1<<j)-1 <= 2*n+2 ; i++) 71 dp[i][j] = _min(dp[i][j-1],dp[i+(1<<(j-1))][j-1]); 72} 73 74int rmq_min( int l,int r) 75{ 76 if (l>r) swap(l,r); 77 int k = 0; 78 while (1<<(k+1) <= r-l+1) k++; 79 return _min(dp[l][k],dp[r-(1<<k)+1][k]); 80} 81int main() 82{ 83 #ifndef ONLINE_JUDGE 84 freopen("code/in.txt","r",stdin); 85 #endif 86 87 while (scanf("%d",&n)!=EOF) 88 { 89 ms(in,0); 90 for ( int i = 1 ; i <= n ; i++) edge[i].clear(); 91 for ( int i = 1 ; i <= n ; i++) 92 { 93 char ch[5]; 94 int x,num; 95 scanf("%d%2s%d%1s",&x,ch,&num,ch); 96// cout<<"x:"<<x<<" num:"<<num<<endl; 97 98 for ( int i = 1 ; i <= num ; i++) 99 { 100 int y; 101 scanf("%d",&y); 102 edge[x].push_back(y); 103 in[y]++; 104// cout<<"y:"<<y<<endl; 105 } 106 } 107 108 int root ; 109 for ( int i = 1 ; i <= n ; i++) if (in[i]==0) root = i ; 110// cout<<"root:"<<root<<endl; 111 p = 0; 112 dfs(root,0); 113 rmq_init(); 114 115 ms(cnt,0); 116 117 int q; 118 scanf("%d",&q); 119// cout<<"q:"<<q<<endl; 120 while (q--) 121 { 122 char ch[5]; 123 int x,y; 124 scanf("%1s%d%d%1s",ch,&x,&y,ch); 125 int LCA = E[rmq_min(R[x],R[y])]; 126// cout<<"x:"<<x<<" y:"<<y<<" LCA:"<<LCA<<endl; 127 cnt[LCA]++; 128 } 129// cout<<"n:"<<n<<endl; 130 for ( int i = 1 ; i <= n ; i++) 131 { 132// cout<<"cnt[i]:"<<cnt[i]<<endl; 133 if (cnt[i]==0) continue; 134 printf("%d:%d\n",i,cnt[i]); 135 } 136 } 137 138 #ifndef ONLINE_JUDGE 139 fclose(stdin); 140 #endif 141 return 0; 142}

poj 1330 Nearest Common Ancestors (lca,用dfs+rmq在线求解)

·580 字·2 分钟
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hdu 3530 Subsequence (尺取+rmq)

·425 字·1 分钟
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