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hdu 3790 最短路径问题 (spfa模板题)

·472 words·1 min
Note: This article is available in Chinese only. 本文暂无英文版本。 View original

hdu 3790 题目链接

题意:给出n个点m条无向边,每条边有一个距离和一个花费。给出s,t。问从s到t的最短距离以及最短距离时的最小花费。当有多个距离最短的方案时,选取花费最少的。

spfa学习链接

usetc 每周算法讲堂之spfa

先写几道题加深理解。

记得初始化。。。。。。

代码实现
  1/* ***********************************************
  2Author :111qqz
  3Created Time :2016年05月21日 星期六 18时42分24秒
  4File Name :code/hdu/3790.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=1E3+7;
 34int n,m;
 35int d[N];
 36int p[N];
 37bool inq[N];
 38vector < pair<int,pair<int,int> > > edge[N];
 39
 40int s,t;
 41
 42void init()
 43{
 44    ms(inq,false);
 45    ms(d,0x3f);
 46    ms(p,0x3f);
 47
 48    for ( int i = 0 ; i <=n ; i++) edge[i].clear();
 49}
 50
 51void spfa()
 52{
 53    queue<int>q;
 54    q.push(s);
 55    d[s] = 0 ;
 56    p[s] = 0;
 57    inq[s]=true;
 58
 59    while (!q.empty())
 60    {
 61	int now = q.front();
 62//	cout<<"now:"<<now<<endl;
 63	q.pop();
 64	inq[now] = false;
 65
 66	int siz = edge[now].size();
 67	for ( int i = 0 ; i < siz ; i ++)
 68	{
 69	    int v = edge[now][i].fst;
 70	    int nd = edge[now][i].sec.fst;
 71	    int nw = edge[now][i].sec.sec;
 72	//    cout<<"v:"<<v<<" nd:"<<nd<<" nw:"<<nw<<endl;
 73	    if (d[v]>d[now]+nd||((d[v]==d[now]+nd)&&(p[v]>p[now]+nw)))
 74	    {
 75		d[v] = d[now] + nd;
 76		p[v] = p[now] + nw;
 77
 78		if (inq[v]) continue;
 79		q.push(v);
 80		inq[v] = true;
 81	    }
 82	}
 83    }
 84
 85}
 86int main()
 87{
 88	#ifndef  ONLINE_JUDGE
 89	freopen("code/in.txt","r",stdin);
 90  #endif
 91
 92	while (scanf("%d%d",&n,&m)!=EOF)
 93	{
 94	    if (n==0&&m==0) break;
 95	    init();
 96	    for ( int i = 1 ; i <= m ; i++)
 97	    {
 98		int u,v,d,w;
 99		scanf("%d%d%d%d",&u,&v,&d,&w);
100		edge[u].push_back(MP(v,MP(d,w)));
101		edge[v].push_back(MP(u,MP(d,w)));
102	    }
103
104	    scanf("%d%d",&s,&t);
105
106
107	    spfa();
108
109	    printf("%d %d\n",d[t],p[t]);
110	}
111
112  #ifndef ONLINE_JUDGE
113  fclose(stdin);
114  #endif
115    return 0;
116}

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

·518 words·2 mins
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poj 1986 Distance Queries (lca,在线做法dfs+rmq)

·508 words·2 mins
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hdu 3530 Subsequence (尺取+rmq)

·425 words·1 min
hdu 3530题目链接 题意:给出n个数,m,k,问最大的j-i+1,使得【i,j】间的最大值与最小值的差属于[m,k] 思路:rmq+尺取。 2A. 代码实现 1/* *********************************************** 2Author :111qqz 3Created Time :2016年05月19日 星期四 16时52分03秒 4File Name :code/hdu/3530.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=1E5+7; 34int n; 35int a[N]; 36int dp[N][20],dp2[N][20]; 37int m,k; 38 39void rmq_init() 40{ 41 for ( int i = 1 ; i <= n ; i ++) 42 dp[i][0] = dp2[i][0] = a[i]; 43 44 for ( int j = 1 ; (1<<j) <= n ; j++) 45 for ( int i = 1 ; i + (1<<j) -1 <= n ; i++) 46 { 47 dp[i][j] = max(dp[i][j-1],dp[i+(1<<(j-1))][j-1]); 48 dp2[i][j]=min(dp2[i][j-1],dp2[i+(1<<(j-1))][j-1]); 49 } 50} 51 52int rmq( int l,int r) 53{ 54 int k = 0 ; 55 while (1<<(k+1)<=r-l+1) k++; 56 int mx = max(dp[l][k],dp[r-(1<<k)+1][k]); 57 int mn = min(dp2[l][k],dp2[r-(1<<k)+1][k]); 58 59 return mx-mn; 60} 61 62int ruler() 63{ 64 int head = 1; 65 int tail = 1; 66 int res = -1 ; 67 while (tail<=n) 68 { 69 int cur = rmq(head,tail); 70 while (head<tail&&rmq(head,tail)>k) head++; 71 while (tail<n&&rmq(head,tail)<m) tail++; 72 //if (tail>n) break; 73 cur = rmq(head,tail); 74 if (cur>=m&&cur<=k) 75 { 76 res = max(res,tail-head); 77 } 78// cout<<"head:"<<head<<" tail:"<<tail<<" cur:"<<cur<<" res:"<<res<<endl; 79 tail++; 80 81 } 82 return res+1; 83} 84int main() 85{ 86 #ifndef ONLINE_JUDGE 87 freopen("code/in.txt","r",stdin); 88 #endif 89 90 while (scanf("%d %d %d",&n,&m,&k)!=EOF) 91 { 92 ms(dp,0); 93 for ( int i = 1 ; i <= n ; i++) scanf("%d",&a[i]); 94 if (m>k) 95 { 96 puts("0"); 97 continue; 98 } 99 rmq_init(); 100 printf("%d\n",ruler()); 101 } 102 103 104 105 #ifndef ONLINE_JUDGE 106 fclose(stdin); 107 #endif 108 return 0; 109}

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

·581 words·2 mins
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}