2013 ACM/ICPC Asia Regional Chengdu Online&hdu4735Little Wish~ lyrical step~(DLX解重复覆盖)

好吧,其实这题把这题代码改一点也能过。。。。说好的没有原题呢

题目请戳这里

题目大意:给一颗树,有n个点,每个点代表一个性别,两点之间的边上有边权w,表示2点之间的距离。现在已知如果某个点是男的,那么与他距离不超过D的点都被他罩着。现在要使所有的女的都至少被一个男的罩,求最少要交换几对男女的位置。

题目分析:求最小点支配集。跟这题区别大么。不过多了点约束条件而已。用dancinglingks+A*优化搜索。搜索过程中注意控制男生人数。

具体方法就是先找出最小支配集,然后判断最小支配集中有多少男生。少了的就是要交换的。

详情请见代码:

#include <iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
const int N = 55;
const int M = 3000;
const int inf = 0x3f3f3f3f;
typedef __int64 ll;

ll dis[N][N];
int sex[N];
int u[M],d[M],l[M],r[M],s[M],col[M],row[M],h[M],sta[M];
int n,m,num,boy,ans;
ll D;
bool flag;
void init()
{
    memset(h,0,sizeof(h));
    memset(s,0,sizeof(s));
    for(int i = 0;i <= n;i ++)
    {
        u[i] = d[i] = i;
        r[i] = (i + 1) % (n + 1);
        l[i] = (i - 1 + n + 1) % (n + 1);
    }
    num = n + 1;
}
void floyd()
{
    int i,j,k;
    for(k = 1;k <= n;k ++)
        for(i = 1;i <= n;i ++)
            for(j = 1;j <= n;j ++)
                dis[i][j] = min(dis[i][j],dis[i][k] + dis[k][j]);
}
void build(int i,int j)
{
    if(h[i])
    {
        l[num] = l[h[i]];
        r[num] = h[i];
        r[l[num]] = num;
        l[r[num]] = num;
    }
    else
        h[i] = l[num] = r[num] = num;
    s[j] ++;
    u[num] = u[j];
    d[num] = j;
    d[u[num]] = num;
    u[j] = num;
    col[num] = j;
    row[num] = i;
    num ++;
}
void remove(int x)
{
    for(int i = d[x];i != x;i = d[i])
        l[r[i]] = l[i],r[l[i]] = r[i],s[col[i]] --;
}
void resume(int x)
{
    for(int i = d[x];i != x;i = d[i])
        l[r[i]] = r[l[i]] = i,s[col[i]] ++;
}
int A()
{
    int i,j,k,ret = 0;
    bool vis[N];
    memset(vis,false,sizeof(vis));
    for(i = r[0];i;i = r[i])
    {
        if(vis[i] == false)
        {
            vis[i] = true;
            ret ++;
            for(j = d[i];j != i;j = d[j])
                for(k = r[j];k != j;k = r[k])
                    vis[col[k]] = true;
        }
    }
    return ret;
}
void dfs(int dp)
{
    if(dp + A() > boy)
        return;
    int i,j,cur;
    for(i = j = 0;i < dp;i ++)
        j += sex[sta[i]];
    if(dp - j >= ans)
        return;
    if(r[0] == 0)
    {
        flag = true;
        for(i = j = 0;i < dp;i ++)
            j += sex[sta[i]];//统计boy
        ans = min(ans,dp - j);
        return;
    }
    int tmp = inf;
    for(i = r[0];i;i = r[i])
        if(s[i] < tmp)
        {
            tmp = s[i];
            cur = i;
        }
    for(i = d[cur];i != cur;i = d[i])
    {
        sta[dp] = row[i];
        remove(i);
        for(j = r[i];j != i;j = r[j])
        {
            remove(j);
            s[col[j]] --;
        }
        dfs(dp + 1);
        for(j = l[i];j != i;j = l[j])
        {
            resume(j);
            s[col[j]] ++;
        }
        resume(i);
    }
}
int main()
{
    int t,i,j,cas = 0;
    int a,b;
    ll w;
    scanf("%d",&t);
    while(t --)
    {
        scanf("%d%I64d",&n,&D);
        init();
        for(i = 1,boy = 0;i <= n;i ++)
        {
            scanf("%d",&sex[i]);
            boy += sex[i];
            for(j = 1;j <= n;j ++)
                dis[i][j] = inf;
            dis[i][i] = 0;
        }
        for(i = 1;i < n;i ++)
        {
            scanf("%d%d%I64d",&a,&b,&w);
            dis[a][b] = dis[b][a] = min(dis[a][b],w);
        }
        floyd();
        for(i = 1;i <= n;i ++)
        {
            for(j = 1;j <= n;j ++)
                if(dis[i][j] <= D)
                    build(i,j);
        }
        ans = inf;
        flag = false;
        dfs(0);
        if(flag == false)
            ans = -1;
        printf("Case #%d: %d\n",++cas,ans);
    }
    return 0;
}



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