#include <iostream>
#include <deque>
#include <vector>
#include <queue>
#include <set>
using namespace std;
int const NN=2e6+10;
long long dp[NN],pre[NN],val[NN];
long long sol(deque<int>a,deque<int>b,int k)
{
int n=a.size();
pre[0]=0;
for (int i=0;i<n;i++)
pre[i+1]=pre[i]+b[i];
dp[0]=a[0]-pre[k];
priority_queue<pair<int,int>>pq;
pq.push({dp[0]+pre[k],0});
long long mx=dp[0];
for (int i=1;i<n;i++)
{
long long sm=pre[min(n,i+k)]-pre[i];
dp[i]=mx;
while (pq.size()&&pq.top().second<=i-k)
pq.pop();
if (pq.size())
dp[i]=max(dp[i],pq.top().first-pre[i]);
dp[i]=dp[i]+a[i]-sm;
mx=max(mx,dp[i]);
pq.push({dp[i]+pre[min(i+k,n)],i});
}
return mx;
}
long long solve(int N, int K, int *A, int *B)
{
long long ans=0;
int n=N;
deque<int>a,b;
for (int i=0;i<n;i++)
a.push_back(A[i]),b.push_back(B[i]);
for (int i=0;i<n;i++)
{
ans=max(ans,sol(a,b,K));
a.push_back(a.front());
a.pop_front();
b.push_back(b.front());
b.pop_front();
}
return ans;
}
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