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最短路

时间:2016-11-19 16:16:05      阅读:181      评论:0      收藏:0      [点我收藏+]

标签:sizeof   span   std   turn   main   mem   inf   operator   man   

dij矩阵表示

#include<iostream>
#include<cstring>
#include<cstdio>
#include<algorithm>
#define INF 0x3f3f3f3f
using namespace std;

int n,m,a[205][205],dis[205];
bool vis[205];

void dij(int beg)
{
    memset(dis,0x3f,sizeof(dis));
    memset(vis,0,sizeof(vis));
    dis[beg] = 0;
    for(int i = 0;i <= n;i++)
    {
        int k = -1,minn = INF;
        for(int j = 0;j < n;j++)
        {
            if(!vis[j] && dis[j] < minn)
            {
                minn = dis[j];
                k = j;
            }
        }
        if(k == -1) break;
        vis[k] = 1;
        for(int j = 0;j < n;j++)
        {
            if(!vis[j] && dis[k]+a[k][j] < dis[j])
            {
                dis[j] = dis[k]+a[k][j];
            }
        }
    }
}
int main()
{
    while(~scanf("%d%d",&n,&m))
    {
        memset(a,0x3f,sizeof(a));
        while(m--)
        {
            int u,v,w;
            scanf("%d%d%d",&u,&v,&w);
            if(w < a[u][v]) a[u][v] = a[v][u] = w;
        }
        int x,y;
        scanf("%d%d",&x,&y);
        dij(x);
        if(dis[y] == INF)   printf("-1\n");
        else    printf("%d\n",dis[y]);
    }
    return 0;
}

//HDU1874

 

dij优先队列

#include<iostream>
#include<cstring>
#include<cstdio>
#include<algorithm>
#include<queue>
#include<vector>
#define INF 0x3f3f3f3f
using namespace std;

struct edge
{
    int to,w;
    edge(int a,int b):to(a),w(b){};
    friend bool operator <(edge X,edge Y)
    {
        return X.w > Y.w;
    }
};
vector<edge> v[205];
int n,m,dis[205];
bool vis[205];

void dij(int beg)
{
    priority_queue<edge> q;
    memset(dis,0x3f,sizeof(dis));
    memset(vis,0,sizeof(vis));
    dis[beg] = 0;
    q.push(edge(beg,0));
    while(!q.empty())
    {
        int now = q.top().to;
        q.pop();
        if(vis[now])    continue;
        vis[now] = 1;
        for(int i = 0;i < v[now].size();i++)
        {
            int tt = v[now][i].to,ww = v[now][i].w;
            if(!vis[tt] && dis[now]+ww < dis[tt])
            {
                dis[tt] = dis[now]+ww;
                q.push(edge(tt,dis[tt]));
            }
        }
    }
}
int main()
{
    while(~scanf("%d%d",&n,&m))
    {
        for(int i = 0;i < n;i++)    v[i].clear();
        while(m--)
        {
            int a,b,c;
            scanf("%d%d%d",&a,&b,&c);
            v[a].push_back(edge(b,c));
            v[b].push_back(edge(a,c));
        }
        int x,y;
        scanf("%d%d",&x,&y);
        dij(x);
        if(dis[y] == INF)   printf("-1\n");
        else    printf("%d\n",dis[y]);
    }
    return 0;
}

//HDU1874

 

floyd

#include<iostream>
#include<cstring>
#include<cstdio>
#include<algorithm>
#define INF 0x3f3f3f3f
using namespace std;

int n,m,a[205][205];

void floyd()
{
    for(int k = 0;k < n;k++)
    {
        for(int i = 0;i < n;i++)
        {
            for(int j = 0;j < n;j++)    a[i][j] = min(a[i][j],a[i][k]+a[k][j]);
        }
    }
}
int main()
{
    while(~scanf("%d%d",&n,&m))
    {
        memset(a,0x3f,sizeof(a));
        for(int i = 0;i < n;i++)    a[i][i] = 0;
        while(m--)
        {
            int u,v,w;
            scanf("%d%d%d",&u,&v,&w);
            if(a[u][v] > w) a[u][v] = a[v][u] = w;
        }
        floyd();
        int x,y;
        scanf("%d%d",&x,&y);
        if(a[x][y] == INF)  printf("-1\n");
        else    printf("%d\n",a[x][y]);
    }
    return 0;
}

//HDU1874

 

bennman_ford

#include<iostream>
#include<cstring>
#include<cstdio>
#include<algorithm>
#define INF 0x3f3f3f3f
using namespace std;

struct edge
{
    int u,v,w;
}e[2005];

int n,m,dis[205];

void bellman_ford(int beg)
{
    memset(dis,0x3f,sizeof(dis));
    dis[beg] = 0;
    for(int i = 1;i < n;i++)
    {
        for(int j = 1;j <= m;j++)
        {
            if(dis[e[j].u] != INF && dis[e[j].v] > dis[e[j].u]+e[j].w)
            {
                dis[e[j].v] = dis[e[j].u]+e[j].w;
            }
        }
    }
}

int main()
{
    while(~scanf("%d%d",&n,&m))
    {
        m *= 2;
        for(int i = 1;i <= m;i += 2)
        {
            int a,b,c;
            scanf("%d%d%d",&a,&b,&c);
            e[i].u = a;
            e[i].v = b;
            e[i].w = c;
            e[i+1].u = b;
            e[i+1].v = a;
            e[i+1].w = c;
        }
        int x,y;
        scanf("%d%d",&x,&y);
        bellman_ford(x);
        if(dis[y] == INF)   printf("-1\n");
        else    printf("%d\n",dis[y]);
    }
    return 0;
}

//HDU1874

 

spfa

#include<iostream>
#include<cstring>
#include<cstdio>
#include<algorithm>
#include<queue>
#include<vector>
#define INF 0x3f3f3f3f
using namespace std;

struct edge
{
    int to,w;
    edge(int a,int b):to(a),w(b){};
};
int n,m,dis[205],c[205],vis[205];
vector<edge> v[205];

int spfa(int beg)
{
    queue<int> q;
    memset(c,0,sizeof(c));
    memset(vis,0,sizeof(vis));
    memset(dis,0x3f,sizeof(dis));
    dis[beg] = 0;
    q.push(beg);
    vis[beg] = 1;
    c[beg] = 1;
    while(!q.empty())
    {
        int now = q.front();
        q.pop();
        vis[now] = 0;
        for(int i = 0;i < v[now].size();i++)
        {
            int xx = v[now][i].to,ww = v[now][i].w;
            if(dis[now]+ww < dis[xx])
            {
                dis[xx] = dis[now]+ww;
                vis[xx] = 1;
                c[xx]++;
                q.push(xx);
                if(c[xx] > n)   return 0;
            }
        }
    }
    return 1;
}
int main()
{
    while(~scanf("%d%d",&n,&m))
    {
        for(int i = 0;i < n;i++)    v[i].clear();
        while(m--)
        {
            int a,b,c;
            scanf("%d%d%d",&a,&b,&c);
            v[a].push_back(edge(b,c));
            v[b].push_back(edge(a,c));
        }
        int x,y;
        scanf("%d%d",&x,&y);
        spfa(x);
        if(dis[y] == INF)   printf("-1\n");
        else    printf("%d\n",dis[y]);
    }
    return 0;
}

//HDU1874

 

分层图最短路dij优先队列

#include<iostream>
#include<cstring>
#include<cstdio>
#include<algorithm>
#include<vector>
#include<queue>
#define INF 0x3f3f3f3f
using namespace std;

struct edge
{
    int to,cost;
    edge(int a,int b):to(a),cost(b){};
    friend bool operator>(edge x,edge y)
    {
        return x.cost > y.cost;
    }
};
vector<edge> v[11005];
int n,m,k,a[1005][1005],dis[11005],vis[11005];
priority_queue< edge,vector<edge>,greater<edge> > q;

int dij()
{
    while(!q.empty())    q.pop();
    memset(dis,0x3f,sizeof(dis));
    memset(vis,0,sizeof(vis));
    dis[1] = 0;
    q.push(edge(1,0));
    while(!q.empty())
    {
        int now = q.top().to;
        if(now == (k+1)*n)    return dis[(k+1)*n];
        q.pop();
        if(vis[now])    continue;
        vis[now] = 1;
        for(int i = 0;i < v[now].size();i++)
        {
            int xx = v[now][i].to,yy = v[now][i].cost;
            if(yy+dis[now] < dis[xx])
            {
                dis[xx] = yy+dis[now];
                q.push(edge(xx,dis[xx]));
            }
        }

    }
}

int main()
{
    while(~scanf("%d%d%d",&n,&m,&k))
    {
        for(int i = 1;i <= 11000;i++)    v[i].clear();
        memset(a,0x3f,sizeof(a));
        for(int i = 1;i <= m;i++)
        {
            int u,v,w;
            scanf("%d%d%d",&u,&v,&w);
            a[u][v] = min(a[u][v],w);
            a[v][u] = min(a[v][u],w);
        }
        for(int i = 1;i <= n;i++)
        {
            for(int j = 1;j <= n;j++)
            {
                if(i == j || a[i][j] == INF)    continue;
                for(int l = 0;l <= k;l++)
                {
                    v[l*n+i].push_back(edge(l*n+j,a[i][j]));
                    if(l != k)
                    {
                        v[l*n+i].push_back(edge((l+1)*n+j,0));
                    }
                }
            }
        }
        printf("%d\n",dij());
    }
    return 0;
}

//XDOJ1078

 

最短路

标签:sizeof   span   std   turn   main   mem   inf   operator   man   

原文地址:http://www.cnblogs.com/zhurb/p/6080463.html

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