hdu 2282 Chocolate kuhn_munkras
//拆点,将值为m的a点拆成m个值为1的点,将m-1个点与除a点以外的值为0的点建立关系。建立矩阵mat[ind][n]
//即求选择ind个数,使得这ind个数,不同行不同列,使得它们的和最小 即kuhn_munkras
#include <iostream>
#include <cstring>
#include <cmath>
using namespace std;
#define MAXN 500
#define inf 1000000000
#define _clr(x) memset(x,0xff,sizeof(int)*n)
int match1[MAXN], match2[MAXN];
int m, n, mat[MAXN][MAXN];
int kuhn_munkras()
{
int s[MAXN],t[MAXN],l1[MAXN],l2[MAXN],p,q,ret=0,i,j,k;
for (i=0;i<m;i++)
for (l1[i]=-inf,j=0;j<n;j++)
l1[i]=mat[i][j]>l1[i]?mat[i][j]:l1[i];
for (i=0;i<n;l2[i++]=0);
for (_clr(match1),_clr(match2),i=0;i<m;i++){
for (_clr(t),s[p=q=0]=i;p<=q&&match1[i]<0;p++)
for (k=s[p],j=0;j<n&&match1[i]<0;j++)
if (l1[k]+l2[j]==mat[k][j]&&t[j]<0){
s[++q]=match2[j],t[j]=k;
if (s[q]<0)
for (p=j;p>=0;j=p)
match2[j]=k=t[j],p=match1[k],match1[k]=j;
}
if (match1[i]<0){
for (i--,p=inf,k=0;k<=q;k++)
for (j=0;j<n;j++)
if (t[j]<0&&l1[s[k]]+l2[j]-mat[s[k]][j]<p)
p=l1[s[k]]+l2[j]-mat[s[k]][j];
for (j=0;j<n;l2[j]+=t[j]<0?0:p,j++);
for (k=0;k<=q;l1[s[k++]]-=p);
}
}
for (i=0;i<m;i++)
ret+=mat[i][match1[i]];
return ret;
}
int main()
{
while (scanf("%d", &n) != EOF)
{
int i, j, a[MAXN], k;
for (i = 0; i < n; ++i)
{
for (j = 0; j < n; ++j)
{
mat[i][j] = -1000000;
}
}
for (i = 0; i < n; ++i)
{
scanf("%d", &a[i]);
}
int ind = 0;
for (i = 0; i < n; ++i)
{
for (k = 0; k < a[i]-1; ++k)
{
for (j = 0; j < n; ++j)
{
if (!a[j])
{
mat[ind][j] = abs(j-i) > n/2 ? -(n-abs(j-i)) : -abs(j-i);
}
}
ind++;
}
}
m = ind;
printf("%d\n", -kuhn_munkras());
}
return 0;
}