Http://acm.hdu.edu.cn/showproblem.php? PID = 1, 1428
Dijstra + dp;
1 #include <cstdio> 2 #include <queue> 3 #include <cstring> 4 #include <algorithm> 5 #define maxn 100 6 #define ll __int64 7 using namespace std; 8 const int inf=1<<29; 9 10 int g[maxn][maxn];11 bool vis[maxn][maxn];12 ll dis[maxn][maxn];13 ll dp[maxn][maxn];14 int n;15 int dir[4][2]={{0,1},{0,-1},{1,0},{-1,0}};16 struct node17 {18 int x,y,w;19 bool friend operator <(node a,node b)20 {21 return a.w>b.w;22 }23 }st1,st;24 25 void dijstra(int x,int y)26 {27 memset(vis,false,sizeof(vis));28 for(int i=0; i<=n; i++)29 {30 for(int j=0; j<=n; j++)31 {32 dis[i][j]=inf;33 }34 }35 priority_queue<node>q;36 st.x=x;37 st.y=y;38 st.w=g[x][y];39 dis[x][y]=g[x][y];40 q.push(st);41 while(!q.empty())42 {43 st1=q.top();q.pop();44 if(vis[st1.x][st1.y]) continue;45 vis[st1.x][st1.y]=true;46 for(int i=0; i<4; i++)47 {48 int xx=st1.x+dir[i][0];49 int yy=st1.y+dir[i][1];50 if(xx>=0&&xx<n&&yy>=0&&yy<n&&!vis[xx][yy])51 {52 if(dis[st1.x][st1.y]+g[xx][yy]<dis[xx][yy])53 {54 dis[xx][yy]=dis[st1.x][st1.y]+g[xx][yy];55 st.x=xx;56 st.y=yy;57 st.w=dis[xx][yy];58 q.push(st);59 }60 }61 }62 }63 }64 65 ll dfs(int x,int y)66 {67 if(dp[x][y]) return dp[x][y];68 for(int i=0; i<4; i++)69 {70 int x1=x+dir[i][0];71 int y1=y+dir[i][1];72 if(x1>=0&&x1<n&&y1>=0&&y1<n&&dis[x1][y1]<dis[x][y])73 dp[x][y]+=dfs(x1,y1);74 }75 return dp[x][y];76 }77 int main()78 {79 while(scanf("%d",&n)!=EOF)80 {81 memset(g,0,sizeof(g));82 for(int i=0; i<n; i++)83 {84 for(int j=0; j<n; j++)85 {86 scanf("%d",&g[i][j]);87 }88 }89 dijstra(n-1,n-1);90 memset(dp,0,sizeof(dp));91 dp[n-1][n-1]=1;92 printf("%I64d\n",dfs(0,0));93 }94 return 0;95 }
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