bzoj5090[lydsy11月赛]组题
裸的01分数规划,二分答案,没了.
#include<cstdio>
#include<algorithm>
using namespace std;
const int maxn=100005;
int a[maxn];
double b[maxn];
double c[maxn];
typedef long long ll;
ll gcd(ll a,ll b){
return (b==0)?a:gcd(b,a%b);
}
int main(){
int n,k;scanf("%d%d",&n,&k);
for(int i=1;i<=n;++i)scanf("%d",a+i);
double l=-1e8,r=1e8;
int R=0;
while(r-l>1e-5){
double mid=(l+r)/2.0;
for(int i=1;i<=n;++i)b[i]=a[i]-mid;
for(int i=1;i<=n;++i)b[i]+=b[i-1];
c[0]=0;
for(int i=1;i<=n;++i){
c[i]=min(c[i-1],b[i]);
}
bool flag=false;
for(int i=k;i<=n;++i){
if(c[i-k]<=b[i]){
flag=true;R=i;break;
}
}
if(flag)l=mid;
else r=mid;
}
double Min=0;int L=0;
for(int j=1;j<=R-k;++j){
if(b[j]<Min)L=j,Min=b[j];
}
ll sum=0;
for(int i=L+1;i<=R;++i)sum+=a[i];
if(sum<0){
printf("-");sum=-sum;
}
ll g=gcd(sum,R-L);
printf("%lld/%lld\n",sum/g,(R-L)/g);
return 0;
}