hdu 1171 Big Event in HDU【生成函数】
按套路列生成函数式子然后暴力乘,这样复杂度看起来非常大,但是可以动态维护最大值,这样就是O(能过)的了
仔细想想这个多项式暴力乘理解成背包dp也行?
#include<iostream>
#include<cstdio>
#include<cstring>
using namespace std;
const int N=300005;
int n,m,a[N],b[N],v[N],w[N];
int main()
{
while(scanf("%d",&n)&&n>0)
{
memset(a,0,sizeof(a));
memset(b,0,sizeof(b));
for(int i=1;i<=n;i++)
scanf("%d%d",&v[i],&w[i]);
for(int i=0;i<=v[1]*w[1];i+=v[1])
a[i]=1;
m=v[1]*w[1];
for(int i=2;i<=n;i++)
{
for(int j=0;j<=m;j++)
for(int k=0;k<=v[i]*w[i];k+=v[i])
b[j+k]+=a[j];
m+=v[i]*w[i];
for(int i=0;i<=m;i++)
a[i]=b[i],b[i]=0;
}
for(int i=m/2;i>=0;i--)
if(a[i])
{
printf("%d %d\n",m-i,i);
break;
}
}
return 0;
}
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