Language: C++

#include <iostream>
#include <vector>
#include <stack>
#include <queue>
#include <algorithm>
#include <cmath>
#include <string>
#include <map>
#include <set>
#include <list>

#define ll long long
#define fornum(A,B,C) for(A=B;A<C;A++)

using namespace std;

int i,j,k,l,m,n;
/////////////////////////////////////////////////////

ll N;
ll X[1010],Y[1010];
vector<ll> nv;

ll Abss(ll a){
    return (a>0?a:-a);
}

void errors(){
    printf("-1\n");
    exit(0);
}

void Lwritter(int* checker,ll* nvs,ll num,int start){
    //printf("N%lld\n",num);
    ll pos=num;
    ll a=num;
    for(int i=start;i<nv.size();i++){
        if(Abs(pos)%(2*nv[i])==nv[i]){
            pos-=nvs[i];
            checker[i]=1;
            if(pos==0)
                return;
        }
    }
}

int main(){
    scanf("%lld",&N);
    fornum(i,0,N){
        scanf("%lld%lld",&X[i],&Y[i]);
    }
    int odd=Abss(X[0]+Y[0])%2;
    ll maxnum=Abss(X[0])>Abss(Y[0])?Abss(X[0]):Abss(Y[0]);
    fornum(i,1,N){
        if(odd!=Abss(X[i]+Y[i])%2){
            errors();
        }
        maxnum=(maxnum<Abss(X[i])?Abss(X[i]):maxnum);
        maxnum=(maxnum<Abss(Y[i])?Abss(Y[i]):maxnum);
    }
    //printf("%lld\n",maxnum);
    ll maxx;
    if(odd){
        nv.push_back(1);
    }
    nv.push_back(1);
    for(maxx=1;maxx<maxnum;maxx*=2){
        nv.push_back(maxx);
    }
    nv.push_back(maxx);
    maxx*=2;

    printf("%d\n",(int)(nv.size()));
    fornum(i,0,nv.size()){
        printf("%lld ",nv[i]);
    }
    

    fornum(i,0,N){
        ll summ=Abss(X[i])+Abss(Y[i])-odd;
        int xc[50];
        ll nvc[50];
        fornum(j,0,50){
            xc[j]=0;
        }
        ll a=(maxx-summ)/2;
        //printf("%lld,%lld,%lld",maxx,summ,a);
        j=1;
        nvc[0]=1;
        if(odd){
            nvc[1]=1;
            j++;
        }
        for(j;j<nv.size();j++){
            if(a%2){
                nvc[j]=-nv[j];
            }else{
                nvc[j]=nv[j];
            }
            a/=2;
        }

        if(Abss(X[i])<Abss(Y[i])){
            Lwritter(xc,nvc,(Abss(X[i])%2?Abss(X[i])-odd:Abss(X[i])),odd);
        }else{
            Lwritter(xc,nvc,(Abss(Y[i])%2?Abss(Y[i])-odd:Abss(Y[i])),odd);
            fornum(j,odd,nv.size()){
                xc[j]=!xc[j];
            }
        }
        
        printf("\n");
        //printf("\nX%lld,Y%lld",X[i],Y[i]);
        j=0;
        if(odd){
            if(Abss(X[i])%2){
                if(X[i]>0){
                    printf("R");
                }else{
                    printf("L");
                }
            }else{
                if(Y[i]>0){
                    printf("U");
                }else{
                    printf("D");
                }
            }
            j++;
        }

        for(j;j<nv.size();j++){
            //printf("\n%lld,%d:",nvc[j],xc[j]);
            if(xc[j]==1){
                if(nvc[j]*X[i]>0){
                    printf("R");
                }else{
                    printf("L");
                }
            }else{
                if(nvc[j]*Y[i]>0){
                    printf("U");
                }else{
                    printf("D");
                }
            }
        }
    }

    return 0;
}

Compiler output:
a.cc: In function 'void Lwritter(int*, long long int*, long long int, int)':
a.cc:38:12: error: 'Abs' was not declared in this scope; did you mean 'abs'?
   38 |         if(Abs(pos)%(2*nv[i])==nv[i]){
      |            ^~~
      |            abs