This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define oo 1e15
#define fi first
#define se second
#define sp(iiii) setprecision(iiii)
#define IO ios_base::sync_with_stdio(false); cin.tie(0)
#define ms(aaaa,xxxx) memset(aaaa,xxxx,sizeof(aaaa))
#define cntbit(xxxx) __builtin_popcount(xxxx)
#define getbit(xxxx,aaaa) ((xxxx>>(aaaa-1))&1)
typedef long double ld;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef pair<pair<int,int>,int> piii;
typedef pair<long long,long long> pll;
typedef pair<pair<long long,long long>,long long> plll;
typedef pair<pair<long long,long long>,pair<long long,long long>> pllll;
typedef pair<pair<long long,long long>,bool> pllb;
const ll base=361;
const ll mod=998244353;
const ld eps=1e-5;
const ll maxn=1e9+9;
ll m,n,i,c[1000009],res,f[1000009],j,ans;
pll a[1000009],b[1000009];
int main(){
IO;
cin>>m>>n;
for (i=1;i<=n;i++) {
cin>>a[i].fi;
}
for (i=1;i<=n;i++) {
cin>>a[i].se;
}
for (i=1;i<=n;i++) {
b[i]={a[i].fi-a[i].se,a[i].fi+a[i].se};
}
sort(b+1,b+n+1);
for (i=1;i<=n;i++) {
c[i]=b[i].se;
f[i]=oo;
}
for (i=1;i<=n;i++) {
ans=0;
for (j=n;j>0;j/=2) {
while (ans+j<=n&&c[i]>f[ans+j]) {
ans+=j;
}
}
f[ans+1]=c[i];
res=max(res,ans+1);
}
cout<<res<<'\n';
}
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