#include "encoder.h"
#include "encoderlib.h"
#include"bits/stdc++.h"
#define overload(a,b,c,d,...) d
#define rep1(a) for(ll _=0;_<(ll)a;++_)
#define rep2(i,a) for(ll i=0;i<(ll)(a);++i)
#define rep3(i,a,b) for(ll i=(ll)(a);i<(ll)(b);++i)
#define rep(...) overload(__VA_ARGS__,rep3,rep2,rep1)(__VA_ARGS__)
#define rrep1(i,a) for(ll i=(ll)(a)-1;i>=0;--i)
#define rrep2(i,a,b) for(ll i=(ll)(b)-1;i>=(ll)(a);--i)
#define rrep(...) overload(__VA_ARGS__,rrep2,rrep1)(__VA_ARGS__)
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
#define pb push_back
#define eb emplace_back
using namespace std;
using ll=long long;
using ull=unsigned long long;
using i128=__int128_t;
using ld=long double;
using vi=vector<int>;
using vl=vector<ll>;
template<typename T,typename U>inline bool chmin(T&a,const U&b){return (a>b?a=b,true:false);}
template<typename T,typename U>inline bool chmax(T&a,const U&b){return (a<b?a=b,true:false);}
namespace{
vector<vector<ll>>comb(36,vector<ll>(21,0));
void init(){
rep(i,36)rep(j,21)::comb[i][j]=0;
rep(i,36)::comb[i][0]=1;
rep(i,1,36)rep(j,1,21)::comb[i][j]=::comb[i-1][j-1]+::comb[i-1][j];
}
}
vector<int>calc(ll v,int len){
int now=0;
vector<int>res;
int l=-1;
rep(i,len+1){
if(v>=::comb[15+i][i]){
v-=::comb[15+i][i];
}
else{
l=i;
break;
}
}
rep(i,l){
while(true){
if(v>=::comb[15-now+l-i-1][l-i-1]){
v-=::comb[15-now+l-i-1][l-i-1];
now++;
}
else break;
}
res.emplace_back(now);
}
return res;
}
void encode(int N, int M[]) {
::init();
for(int i=0,id=0;i<N;i+=4,id++){
int cnt=0;
ll now=0;
ll tmp=1;
for(int j=i;j<min(N,i+4);++j){
cnt++;
now+=tmp*M[j];
tmp*=256;
}
auto a=calc(now,cnt*5);
for(auto&e:a){
send(id*16+e);
}
}
}
#include "decoder.h"
#include "decoderlib.h"
#include"bits/stdc++.h"
#define overload(a,b,c,d,...) d
#define rep1(a) for(ll _=0;_<(ll)a;++_)
#define rep2(i,a) for(ll i=0;i<(ll)(a);++i)
#define rep3(i,a,b) for(ll i=(ll)(a);i<(ll)(b);++i)
#define rep(...) overload(__VA_ARGS__,rep3,rep2,rep1)(__VA_ARGS__)
#define rrep1(i,a) for(ll i=(ll)(a)-1;i>=0;--i)
#define rrep2(i,a,b) for(ll i=(ll)(b)-1;i>=(ll)(a);--i)
#define rrep(...) overload(__VA_ARGS__,rrep2,rrep1)(__VA_ARGS__)
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
#define pb push_back
#define eb emplace_back
using namespace std;
using ll=long long;
using ull=unsigned long long;
using i128=__int128_t;
using ld=long double;
using vi=vector<int>;
using vl=vector<ll>;
template<typename T,typename U>inline bool chmin(T&a,const U&b){return (a>b?a=b,true:false);}
template<typename T,typename U>inline bool chmax(T&a,const U&b){return (a<b?a=b,true:false);}
namespace{
vector<vector<ll>>comb(36,vector<ll>(21,0));
void init(){
rep(i,36)rep(j,21)::comb[i][j]=0;
rep(i,36)::comb[i][0]=1;
rep(i,1,36)rep(j,1,21)::comb[i][j]=::comb[i-1][j-1]+::comb[i-1][j];
}
}
vector<int>calc(vector<int>m,int sz){
ll val=0;
const int l=m.size();
rep(i,l)val+=::comb[15+i][i];
int now=0;
rep(i,l){
while(now<m[i]){
val+=::comb[15-now+l-i-1][l-i-1];
now++;
}
}
vector<int>res;
rep(i,sz){
res.eb(val%256);
val/=256;
}
return res;
}
void decode(int N, int L, int X[]){
::init();
sort(X,X+L);
int idx=0;
rep(i,16){
vector<int>now;
while(idx<L&&X[idx]<(i+1)*16){
now.eb(X[idx]-i*16);
idx++;
}
auto res=calc(now,min(N,4));
N-=min(N,4);
for(auto e:res)output(e);
if(N==0)break;
}
}
