This is my first min_cost network max_flow problems;
From start_point to every 'm' point ,capacity is 1,cost is 0;
From 'H' point to end_point .capacity is 1,cost is 0;
From 'm' point to every 'H' point.capacity is 1,cost is manhattan distance of 'm' point and 'H' point;
The portal:http://acm.hdu.edu.cn/showproblem.php?pid=1533
#include <cstdio>
#include <cstdlib>
#include <queue>
#include <cmath>
#include <cstring>
using namespace std;
const int MAXN = 10000;
const int MAXM = 100000;
const int INF = 0x3f3f3f3f;
struct Edge{
int to,next,cap,flow,cost;
}edge[MAXM];
int head[MAXN],tol;
int pre[MAXN],dis[MAXN];
bool vis[MAXN];
int N;
//N means the number of nodes.from 0 to n-1
void init(int n){
N = n;
tol = 0;
memset(head,-1,sizeof(head));
}
void addedge(int u,int v,int cap,int cost){
edge[tol].to = v; edge[tol].cap = cap; edge[tol].cost = cost;
edge[tol].flow = 0; edge[tol].next = head[u]; head[u] = tol ++;
edge[tol].to = u; edge[tol].cap = 0; edge[tol].cost = -cost;
edge[tol].flow = 0; edge[tol].next = head[v]; head[v] = tol ++;
}
bool spfa(int s,int t){
queue<int>q;
for(int i = 0;i < N;i++){
dis[i] = INF;
vis[i] = false;
pre[i] = -1;
}
dis[s] = 0;
vis[s] = true;
q.push(s);
while(!q.empty()){
int u = q.front();
q.pop();
vis[u] = false;
for(int i=head[u];i != -1;i=edge[i].next){
int v = edge[i].to;
if(edge[i].cap > edge[i].flow && dis[v] > dis[u] + edge[i].cost){
dis[v] = dis[u] + edge[i].cost;
pre[v] = i;
if(!vis[v]){
vis[v] = true;
q.push(v);
}
}
}
}
if(pre[t] == -1) return false;
else return true;
}
//ruturn maxflow ,cost is the mincost;
int mincost_maxflow(int s,int t,int &cost){
int flow = 0;
cost = 0;
while(spfa(s,t)){
int Min = INF;
for(int i = pre[t];i != -1;i = pre[edge[i^1].to]){
if(Min > edge[i].cap - edge[i].flow)
Min = edge[i].cap - edge[i].flow;
}
for(int i = pre[t];i != -1;i = pre[edge[i^1].to]){
edge[i].flow += Min;
edge[i^1].flow -= Min;
cost += edge[i].cost * Min;
}
flow += Min;
}
return flow;
}
char Map[105][105];
int mat[105][105];
void Deal_with(void){
int n,m;
while(scanf("%d %d",&n,&m),n+m){
//init();
int start_point = 0;
int total = 0;
memset(Map,0,sizeof(Map));
memset(mat,0,sizeof(mat));
for(int i=0;i<n;i++){
scanf("%s",Map[i]);
for(int j=0;j<m;j++){
if(Map[i][j] == 'm' || Map[i][j] == 'H'){
mat[i][j] = ++ total;
}
}
}
int end_point = ++ total;
init(total+1);
for(int i=0;i<n;i++){
for(int j=0;j<m;j++){
if(Map[i][j] == 'H'){
addedge(mat[i][j],end_point,1,0);
}
if(Map[i][j] == 'm'){
addedge(start_point,mat[i][j],1,0);
for(int ii=0;ii<n;ii++){
for(int jj=0;jj<m;jj++){
if(Map[ii][jj] == 'H'){
int t_cost = abs(i-ii) + abs(j-jj);
addedge(mat[i][j],mat[ii][jj],1,t_cost);
}
}
}
}
}
}
int min_cost;
mincost_maxflow(start_point,end_point,min_cost);
printf("%d\n",min_cost);
}
}
int main(void){
//freopen("a.in","r",stdin);
Deal_with();
return 0;
}