/*
بسم الله الرحمن الرحيم
Author:
(:Muhammad Aneeq:)
*/
#include <iostream>
#include <vector>
#include <set>
#include <algorithm>
#warning check the output
using namespace std;
int const N=1e5+10;
int s[N],f[N];
char ans[N]={};
int n,m;
bool vis[N]={};
bool check(int ran)
{
int ind=0;
for (int i=0;i<n;i++)
{
if (ind==m)
{
ans[i]='R';
continue;
}
int z=lower_bound(f,f+m,s[i])-f;
if (z<=ind)
{
ans[i]='R';
ind=upper_bound(f,f+m,s[i]+ran)-f;
}
else
{
if (i==n-1)
{
ans[i]='L';
break;
}
int j=i;
while (j+1<n&&s[j]-f[ind]<=ran)
{
int z=lower_bound(f,f+m,s[j])-f;
int y=lower_bound(f,f+m,s[j+1])-f;
if (y!=z)
j++;
else
break;
}
if (s[j]-f[ind]>ran)
j--;
if (j<i)
return 0;
for (int k=i;k<j;k++)
{
ans[k]='R';
ind=max(ind,int(upper_bound(f,f+m,s[k]+ran)-f));
}
ans[j]='L';
ind=max(ind,int(upper_bound(f,f+m,s[j])-f));
i=j;
}
}
int dif[m+10]={};
for (int i=0;i<n;i++)
{
if (ans[i]=='L')
{
int l=lower_bound(f,f+m,s[i]-ran)-f;
int r=upper_bound(f,f+m,s[i])-f;
dif[l]++;
dif[r]--;
}
else
{
int l=lower_bound(f,f+m,s[i])-f;
int r=upper_bound(f,f+m,s[i]+ran)-f;
dif[l]++;
dif[r]--;
}
}
for (int i=1;i<m;i++)
dif[i]+=dif[i-1];
for(int i=0;i<m;i++)
{
if (dif[i]==0)
return 0;
}
return 1;
}
inline void solve()
{
cin>>n>>m;
set<int>s1;
for (int i=0;i<n;i++)
ans[i]='L';
for (int i=0;i<n;i++)
cin>>s[i];
for (int i=0;i<m;i++)
{
int x;
cin>>x;
s1.insert(x);
}
for (int i=0;i<n;i++)
s1.erase(s[i]);
vector<int>f1={begin(s1),end(s1)};
m=f1.size();
for (int i=0;i<m;i++)
f[i]=f1[i];
if (n==1)
{
if (s[0]>=f[m-1])
{
cout<<s[0]-f[0]<<endl;
cout<<"L\n";
return;
}
if(s[0]<=f[0])
{
cout<<f[m-1]-s[0]<<endl;
cout<<"R\n";
return;
}
cout<<-1<<endl;return;
}
// cout<<check(6)<<endl;;
int st=-1,en=1e9+10;
while (st+1<en)
{
int mid=(st+en)/2;
if (check(mid))
en=mid;
else
st=mid;
}
if (check(en)==0)
{
cout<<-1<<endl;
return;
}
cout<<en<<endl;
for (int i=0;i<n;i++)
cout<<ans[i];
cout<<endl;
}
int main()
{
ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
int t=1;
for (int i=1;i<=t;i++)
{
solve();
}
}
Compilation message (stderr)
Main.cpp:11:2: warning: #warning check the output [-Wcpp]
11 | #warning check the output
| ^~~~~~~
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