jzoj4196 二分图计数 解题报告(容斥原理)
阅读原文时间:2023年07月15日阅读:1

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" alt="" border="0" hspace="0" vspace="0" />

Output

aaarticlea/png;base64,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" alt="" border="0" hspace="0" vspace="0" />

Sample Input

样例1
1 2
0

样例2
3 3
0
1
2

Sample Output

样例1
1

样例2
70

Data Constraint

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" 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考试的时候,我这样的蒟蒻当然是写不出来的,直到看了其他大佬的题解我才A掉。我不会告诉你们我提交的次数差不多20次,各种心态爆炸漏掉文件输入输出什么的

考完试之后听到别人说这题是容斥,我就自己想了一下,发现搞不定啊。2n枚举S,再来2n枚举S1,这时间不对劲啊。没想到竟然直接是3n枚举

下面是题解:

这个容斥的意思就是当S1是空集的时候,S-S1=S可以任意匹配;但是这样就一定会让某个点x和不能与自己匹配的点去匹配,然后就需要减去。然而若是存在两点x,y,一次x在S1、y在S-S1中,一次y在S1、x在S-S1中,它们都与跟自己不连边的点匹配的情况会被减两次,于是又要加回来……

这题还有个地方很难办,就是在容斥的时候我们不能把右边集合的点重复匹配,即我们的生成集合S1不能随意生成。解决这个问题的方法就是把数组a离散化(a[i]表示左边的点i不与右边某个点匹配),

然后我们在生成S1的时候状态压缩一下,判断当前的不匹配点是否已经被匹配了(注意我们容斥的对象,黑体部分的匹配的含义有区别,前者是输入的不匹配)。

那么怎么在生成子集的同时我们怎么计算F(S)呢?考虑预处理出s[i][j]数组,表示当l1=i、l2=j时,H(S,S1)的值(l1=|S1|,l2=|S-S1|)。这样我们就可以在O(1)的时间复杂度内调用。

预处理的方法就是

for (int i=;i<=n;i++)
{
s[i][]=;int tmp=m-i;
for (int j=;j<=n;j++) s[i][j]=1ll*s[i][j-]*tmp--%mod;
}

即我们已经确定右边m-i个点被匹配,求剩下的匹配方案数。正如题解说的,“任意匹配又不需要在乎所连的边"轻松O(n2)搞定

于是总的时间复杂度就是O(n2(预处理)+3n(计算F(S))+2n(统计答案)

还有值得注意的是在dfs里我们判断现在容斥是加还是减是通过l1的奇偶性判断,而如果是奇数的话就是减,减得话。。。就改成减(mod-1)*s[l1][l2]再去模,如果不是这样的话下场就会是这样的:

好吧。。。其实我不是很清楚原理,我只是知道不这样的话会出现负数,请读者仔细看看右边,是不是输出了很大的负数。。。。

#include
#include
#define ll long long
using namespace std;

const int maxn=;
const int mod=1e9+;
int n,m;
int a[maxn],b[maxn],s[maxn][maxn],a1[maxn];
ll F[<<];
void dfs(int x,int S,int S1,int l1,int l2)
{
if (x==n)
{
int h=(l1&?mod-:);
F[S]=(F[S]+1ll*h*s[l1][l2])%mod;
return;
}
dfs(x+,S,S1,l1,l2);//不加入S
ll ax=<<a1[x];
if (!(S1&ax)) dfs(x+,S+(<<x),S1+ax,l1+,l2);//加入S1
dfs(x+,S+(<<x),S1,l1,l2+);//加入S不加入S1
}
int main()
{
freopen("bipartite.in","r",stdin);
freopen("bipartite.out","w",stdout);
scanf("%d%d",&n,&m);
for (int i=;i<=n-;i++) {scanf("%d",&a[i]);b[i]=a[i];}
sort(b,b+n);int len=unique(b,b+n)-b;//离散化
for (int i=;i<n;i++)
for (int j=;j<=len;j++)
if(a[i]==b[j]) {a1[i]=j;break;}
for (int i=;i<=n;i++)//预处理
{
s[i][]=;int tmp=m-i;
for (int j=;j<=n;j++) s[i][j]=1ll*s[i][j-]*tmp--%mod;
}
dfs(,,,,);
ll ans=;
for (int i=;i<=(<<n)-;i++) ans=(ans+1ll*F[i]*i)%mod;//统计答案
printf("%lld",ans);
return ;
}