
最小生成树prime版
大致的步骤
首先选取一个到集合最近的点 然后标记起在集合内部 然后更新最短距离
畅通工程再续
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 24846 Accepted Submission(s): 8035
每组数据首先是一个整数C(C <= 100),代表小岛的个数,接下来是C组坐标,代表每个小岛的坐标,这些坐标都是 0 <= x, y <= 1000的整数。
2
10 10
20 20
3
1 1
2 2
1000 1000
oh!
#include<cstdio>
#include<iostream>
#include<string.h>
#include<cmath>
#define maxn 105
#define inf 9999999
struct node
{
double x,y;
}stu[maxn];
int vis[maxn],n;//用来表示点是否在集合里
double mincost[maxn];//用来记录从集合出来到每个点的最小距离
double mapp[maxn][maxn];
using namespace std;
double get_len(node a,node b)
{
return sqrt(pow(a.x-b.x,2.0)+pow(a.y-b.y,2.0));
}
void build_map()
{
for(int i=;i<=n;i++)
{
for(int j=i;j<=n;j++)
{
double len=get_len(stu[i],stu[j]);
if(len>=&&len<=)
mapp[i][j]=mapp[j][i]=(i==j)?:len;
else mapp[i][j]=mapp[j][i]=inf;
}
}
}
void init()
{
memset(vis,,sizeof(vis));
}
double minn(double x,double y)
{
if(x-y>) return y;
else return x;
}
double prim()
{
fill(mincost,mincost+n+,inf);
mincost[]=;
double res=;
while()
{
int v=-;
for(int i=;i<=n;i++) if(!vis[i]&&(v==-||mincost[i]<mincost[v])) v=i;//找出离集合最近的点
if(v==-) break;
vis[v]=;
res+=mincost[v];
for(int i=;i<=n;i++) mincost[i]=minn(mincost[i],mapp[v][i]);//更新最小距离
}
return res;
}
int main()
{
cin.sync_with_stdio(false);
int t;
scanf("%d",&t);
while(t--)
{
init();
scanf("%d",&n);
for(int i=;i<=n;i++) scanf("%lf %lf",&stu[i].x,&stu[i].y);
build_map();
double temp=prim()*100.0;
if(temp>inf) printf("oh!\n");
else printf("%.1f\n",temp);
}
return;
}
#include<cstdio>#include<iostream>#include<string.h>#include<cmath>#define maxn 105#define inf 9999999struct node{ double x,y;}stu[maxn];int vis[maxn],n;//用来表示点是否在集合里 double mincost[maxn];//用来记录从集合出来到每个点的最小距离 double mapp[maxn][maxn];using namespace std;double get_len(node a,node b){return sqrt(pow(a.x-b.x,2.0)+pow(a.y-b.y,2.0));}void build_map(){for(int i=1;i<=n;i++){for(int j=i;j<=n;j++){double len=get_len(stu[i],stu[j]);if(len>=10&&len<=1000)mapp[i][j]=mapp[j][i]=(i==j)?0:len;else mapp[i][j]=mapp[j][i]=inf;}}}void init(){memset(vis,0,sizeof(vis));}double minn(double x,double y){if(x-y>0) return y;else return x;}double prim(){fill(mincost,mincost+n+1,inf);mincost[1]=0;double res=0; while(1) { int v=-1; for(int i=1;i<=n;i++)if(!vis[i]&&(v==-1||mincost[i]<mincost[v])) v=i;//找出离集合最近的点 if(v==-1) break; vis[v]=1;res+=mincost[v];for(int i=1;i<=n;i++) mincost[i]=minn(mincost[i],mapp[v][i]); } return res;}int main(){cin.sync_with_stdio(false);int t; scanf("%d",&t);while(t--) { init(); scanf("%d",&n); for(int i=1;i<=n;i++) scanf("%lf %lf",&stu[i].x,&stu[i].y); build_map(); double temp=prim()*100.0; if(temp>inf) printf("oh!\n"); else printf("%.1f\n",temp); }return 0;}