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2 2 4 4 2 4 2 4 2 2 2 2 5 0 5 4 1 4 3 9 1 2 3 3
Not Unique Impossible Unique 1 2 3 3
//515MS 7304K
#include<stdio.h>
#include<string.h>
#define M 1007
int s,t,n,m,k,sum1,sum2;
int row[M],col[M],vis[M],g[M][M];
const int MAXN=20010;//点数的最大值
const int MAXM=880010;//边数的最大值
const int INF=0x3f3f3f3f;
struct Node
{
int from,to,next;
int cap;
}edge[MAXM];
int tol;
int head[MAXN];
int dis[MAXN];
int gap[MAXN];//gap[x]=y :说明残留网络中dis[i]==x的个数为y
void init()
{
tol=0;
memset(head,-1,sizeof(head));
}
void addedge(int u,int v,int w)
{
edge[tol].from=u;
edge[tol].to=v;
edge[tol].cap=w;
edge[tol].next=head[u];
head[u]=tol++;
edge[tol].from=v;
edge[tol].to=u;
edge[tol].cap=0;
edge[tol].next=head[v];
head[v]=tol++;
}
void BFS(int start,int end)
{
memset(dis,-1,sizeof(dis));
memset(gap,0,sizeof(gap));
gap[0]=1;
int que[MAXN];
int front,rear;
front=rear=0;
dis[end]=0;
que[rear++]=end;
while(front!=rear)
{
int u=que[front++];
if(front==MAXN)front=0;
for(int i=head[u];i!=-1;i=edge[i].next)
{
int v=edge[i].to;
if(dis[v]!=-1)continue;
que[rear++]=v;
if(rear==MAXN)rear=0;
dis[v]=dis[u]+1;
++gap[dis[v]];
}
}
}
int SAP(int start,int end)
{
int res=0,nn=end+1;
BFS(start,end);
int cur[MAXN];
int S[MAXN];
int top=0;
memcpy(cur,head,sizeof(head));
int u=start;
int i;
while(dis[start]<nn)
{
if(u==end)
{
int temp=INF;
int inser;
for(i=0;i<top;i++)
if(temp>edge[S[i]].cap)
{
temp=edge[S[i]].cap;
inser=i;
}
for(i=0;i<top;i++)
{
edge[S[i]].cap-=temp;
edge[S[i]^1].cap+=temp;
}
res+=temp;
top=inser;
u=edge[S[top]].from;
}
if(u!=end&&gap[dis[u]-1]==0)//出现断层,无增广路
break;
for(i=cur[u];i!=-1;i=edge[i].next)
if(edge[i].cap!=0&&dis[u]==dis[edge[i].to]+1)
break;
if(i!=-1)
{
cur[u]=i;
S[top++]=i;
u=edge[i].to;
}
else
{
int min=nn;
for(i=head[u];i!=-1;i=edge[i].next)
{
if(edge[i].cap==0)continue;
if(min>dis[edge[i].to])
{
min=dis[edge[i].to];
cur[u]=i;
}
}
--gap[dis[u]];
dis[u]=min+1;
++gap[dis[u]];
if(u!=start)u=edge[S[--top]].from;
}
}
return res;
}
void build()
{
sum1=0,sum2=0;
for(int i=1;i<=n;i++)
{
scanf("%d",&row[i]);
sum1+=row[i];
addedge(s,i,row[i]);
}
for(int i=1;i<=m;i++)
{
scanf("%d",&col[i]);
sum2+=col[i];
addedge(n+i,t,col[i]);
}
for(int i=1;i<=n;i++)
for(int j=1;j<=m;j++)
addedge(i,n+j,k);
}
bool iscycle(int u,int fa)
{
for(int i=head[u];i!=-1;i=edge[i].next)
{
if(i==(fa^1))continue;
if(edge[i].cap)
{
if(vis[edge[i].to])return true;
vis[edge[i].to]=true;
if(iscycle(edge[i].to,i))return true;
vis[edge[i].to]=false;
}
}
return false;
}
void solve()
{
if(sum1!=sum2){printf("Impossible\n");return;}
int anss=SAP(s,t);
//printf("anss=%d\n",anss);
if(anss!=sum1){printf("Impossible\n");return;}
memset(vis,false,sizeof(vis));
int flag=0;
for(int i=1;i<=n;i++)//推断残留网络是否存在环
if(iscycle(i,-1))
{flag=1;break;}
if(flag)printf("Not Unique\n");
else
{
printf("Unique\n");
for(int u=1;u<=n;u++)
for(int i=head[u];i!=-1;i=edge[i].next)
{
int v=edge[i].to;
if(v>n&&v<=n+m)
g[u][v-n]=k-edge[i].cap;
}
for(int i=1;i<=n;i++)
{
for(int j=1;j<m;j++)
printf("%d ",g[i][j]);
printf("%d\n",g[i][m]);
}
}
}
int main()
{
while(scanf("%d%d%d",&n,&m,&k)!=EOF)
{
s=0,t=n+m+1;
init();
build();
solve();
}
}
HDU Redraw Beautiful Drawings 推断最大流是否唯一解
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原文地址:http://www.cnblogs.com/mengfanrong/p/4295453.html