#include"lottery.h"
#include<bits/stdc++.h>
using namespace std;
const int MAXN=2e5+5;
long long A[MAXN],B[MAXN];
void init(int n,int q,vector<int> X,vector<int> Y)
{
for(int i=1;i<=n;i++) A[i]=X[i-1],B[i]=Y[i-1];
}
int max_prize(int l,int r)
{
l++,r++;
long long lt=1,rt=2e9,ans=0;
for(int i=l;i<=r;i++) rt=min(rt,A[i]+B[i]);
while(lt<=rt)
{
long long mid=(lt+rt)/2,kl=0,kr=0;
for(int i=l;i<=r;i++) kl+=mid-min(B[i],mid),kr+=min(A[i],mid);
if(kl<=mid*(r-l+1)/2&&mid*(r-l+1)/2<=kr) lt=mid+1,ans=mid;
else rt=mid-1;
}
return ans;
}
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