pku 2195 Going Home 最小费最大流问题
http://poj.org/problem?id=2195
题意是:有相同数量的人与房子,每一时刻人都可以花费1$的钱走一步,问让每个人到达一个屋子的最少需要的费用。
建立源点与汇点,求有源点到汇点的最小费用最大流;改了一下不需要f[][]的模板。
#include <iostream>
#include <cstring>
#include <cstdio>
#include <queue>
#include <cstdlib>
#define maxn 207
using namespace std;
const int inf = 999999999;
struct node
{
int x,y;
}p[maxn],h[maxn];
int c[maxn][maxn],f[maxn][maxn],w[maxn][maxn];
int pre[maxn],dis[maxn];
int n,m,pn,hn,s,t;
char str[maxn][maxn];
bool inq[maxn];
int ans;
int Abs(int x)
{
return x > 0 ? x : -x;
}
void spfa()
{
int v;
queue<int>q;
for (int i = 0; i < maxn; ++i)
{
dis[i] = inf; pre[i] = -1;
inq[i] = false;
}
q.push(s); inq[s] = true; dis[s] = 0;
while (!q.empty())
{
int u = q.front(); q.pop();
inq[u] = false;
for (v = 0; v <= t; ++v)
{
if (c[u][v]&& dis[v] > dis[u] + w[u][v])
{
dis[v] = dis[u] + w[u][v];
pre[v] = u;
if (!inq[v])
{
q.push(v);
inq[v] = true;
}
}
}
}
}
void mcmf()
{
while (1)
{
spfa();
if (pre[t] == -1) break;
int x = t,minf = inf;
while (pre[x] != -1)
{
minf = min(minf,c[pre[x]][x]);
x = pre[x];
}
x = t;
while (pre[x] != -1)
{
c[pre[x]][x] -= minf;
c[x][pre[x]] += minf;
ans += minf*w[pre[x]][x];
x = pre[x];
}
}
}
int main()
{
//freopen("in.txt","r",stdin);
int i,j,pn,hn;
while (~scanf("%d%d",&n,&m))
{
if (!n && !m) break;
pn = hn = 0;
for (i = 0; i < n; ++i)
{
scanf("%s",str[i]);
for (j = 0; j < m; ++j)
{
if (str[i][j] == 'H')
{
h[++hn].x = i; h[hn].y = j;
}
else if (str[i][j] == 'm')
{
p[++pn].x = i; p[pn].y = j;
}
}
}
memset(c,0,sizeof(c));
memset(f,0,sizeof(f));
memset(w,0,sizeof(w));
s = 0; t = pn + hn + 1;
for (i = 1; i <= pn; ++i) c[s][i] = 1;
for (i = 1; i <= hn; ++i) c[i + pn][t] = 1;
for (i = 1; i <= pn; ++i)
{
for (j = 1; j <= hn; ++j)
{
c[i][j + pn] = 1;
w[i][j + pn] = Abs(p[i].x - h[j].x) + Abs(p[i].y - h[j].y);
w[j + pn][i] = -w[i][j + pn];
}
}
ans = 0;
mcmf();
printf("%d\n",ans);
}
return 0;
}


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