#include "encoder.h"
#include "encoderlib.h"
#include <bits/stdc++.h>
#define ll long long
#define fi first
#define se second
#define endl '\n'
#define MASK(i) (1LL << (i))
#define ull unsigned long long
#define ld long double
#define pb push_back
#define all(x) (x).begin() , (x).end()
#define BIT(x , i) ((x >> (i)) & 1)
#define TASK "task"
#define sz(s) (int) (s).size()
using namespace std;
string getstring(int x)
{
string res = "";
while(x) {
res += char('0' + x % 10);
x /= 10;
}
reverse(all(res));
return res;
}
int getval(string tmp)
{
int res = 0;
for(auto it : tmp) res = res * 10 + it - '0';
return res;
}
string add(string &a, string &b)
{
string res = "";
int i = sz(a) - 1;
int j = sz(b) - 1;
int carry = 0;
while(i >= 0 || j >= 0) {
int x, y;
if(i >= 0) x = a[i] - '0';
else x = 0;
if(j >= 0) y = b[j] - '0';
else y = 0;
int tmp = (x + y + carry) % 10;
carry = (x + y + carry) / 10;
res += char('0' + tmp);
--i;
--j;
}
if(carry) res += char('1');
reverse(all(res));
return res;
}
string sub(string &a, string &b)
{
string res = "";
int i = sz(a) - 1;
int j = sz(b) - 1;
int carry = 0;
while(i >= 0 || j >= 0) {
int x, y;
if(i >= 0) x = a[i] - '0';
else x = 0;
if(j >= 0) y = b[j] - '0';
else y = 0;
x -= carry;
if(x < y) {
x += 10;
carry = 1;
}
else carry = 0;
res += char('0' + (x - y));
--i;
--j;
}
while(res.back() == '0') res.pop_back();
if(sz(res) == 0) res = "0";
reverse(all(res));
return res;
}
string Div(string &a, int b)
{
string res = "";
int cur = 0;
for(int i = 0; i < sz(a); i++) {
cur = cur * 10 + a[i] - '0';
if(sz(res) > 0 || (sz(res) == 0 && cur / b > 0))
res += char('0' + cur / b);
cur %= b;
}
return res;
}
int Mod(string &a, int b)
{
int cur = 0;
for(auto it : a) {
cur = cur * 10 + (it - '0');
cur %= b;
}
return cur;
}
int cmp(string &a, string &b)
{
if(sz(a) == sz(b)) {
for(int i = 0; i < sz(a); i++) {
if(a[i] == b[i]) continue;
if(a[i] < b[i]) return -1;
return 1;
}
return 0;
}
if(sz(a) < sz(b)) return -1;
return 1;
}
void encode(int N, int M[])
{
string x = "0";
for(int i = 0; i < N; i++) {
string tmp = getstring(M[i]);
string t = x;
for(int j = 1; j < 256; j++) x = add(x, t);
x = add(x, tmp);
}
vector<vector<string>> choose;
choose.resize(507, vector<string>(300));
for(int i = 0; i <= 500; i++) {
choose[i][0] = "1";
for(int j = 1; j <= min(256, i); j++) {
choose[i][j] = add(choose[i - 1][j], choose[i - 1][j - 1]);
}
}
string lim = "1";
for(int i = 1; i <= 8 * N; i++) {
lim = add(lim, lim);
}
int k = 1;
while(cmp(choose[256 + k][256], lim) == -1) ++k;
int sta = 0;
for(int i = 1; i <= k; i++) {
for(int j = sta; j <= 255; j++) {
string way = choose[255 - j + (k - i)][255 - j];
int tmp = cmp(x, way);
if(tmp <= 0) {
send(j);
sta = j;
break;
}
else {
x = sub(x, way);
}
}
}
}
#include "decoder.h"
#include "decoderlib.h"
#include <bits/stdc++.h>
#define ll long long
#define fi first
#define se second
#define endl '\n'
#define MASK(i) (1LL << (i))
#define ull unsigned long long
#define ld long double
#define pb push_back
#define all(x) (x).begin() , (x).end()
#define BIT(x , i) ((x >> (i)) & 1)
#define TASK "task"
#define sz(s) (int) (s).size()
using namespace std;
string getstring(int x)
{
string res = "";
while(x) {
res += char('0' + x % 10);
x /= 10;
}
reverse(all(res));
return res;
}
int getval(string tmp)
{
int res = 0;
for(auto it : tmp) res = res * 10 + it - '0';
return res;
}
string add(string &a, string &b)
{
string res = "";
int i = sz(a) - 1;
int j = sz(b) - 1;
int carry = 0;
while(i >= 0 || j >= 0) {
int x, y;
if(i >= 0) x = a[i] - '0';
else x = 0;
if(j >= 0) y = b[j] - '0';
else y = 0;
int tmp = (x + y + carry) % 10;
carry = (x + y + carry) / 10;
res += char('0' + tmp);
--i;
--j;
}
if(carry) res += char('1');
reverse(all(res));
return res;
}
string sub(string &a, string &b)
{
string res = "";
int i = sz(a) - 1;
int j = sz(b) - 1;
int carry = 0;
while(i >= 0 || j >= 0) {
int x, y;
if(i >= 0) x = a[i] - '0';
else x = 0;
if(j >= 0) y = b[j] - '0';
else y = 0;
x -= carry;
if(x < y) {
x += 10;
carry = 1;
}
else carry = 0;
res += char('0' + (x - y));
--i;
--j;
}
while(res.back() == '0') res.pop_back();
if(sz(res) == 0) res = "0";
reverse(all(res));
return res;
}
string Div(string &a, int b)
{
string res = "";
int cur = 0;
for(int i = 0; i < sz(a); i++) {
cur = cur * 10 + a[i] - '0';
if(sz(res) > 0 || (sz(res) == 0 && cur / b > 0))
res += char('0' + cur / b);
cur %= b;
}
return res;
}
int Mod(string &a, int b)
{
int cur = 0;
for(auto it : a) {
cur = cur * 10 + (it - '0');
cur %= b;
}
return cur;
}
int cmp(string &a, string &b)
{
if(sz(a) == sz(b)) {
for(int i = 0; i < sz(a); i++) {
if(a[i] == b[i]) continue;
if(a[i] < b[i]) return -1;
return 1;
}
return 0;
}
if(sz(a) < sz(b)) return -1;
return 1;
}
void decode(int N, int L, int X[])
{
vector<int> v;
for(int i = 0; i < L; i++) v.pb(X[i]);
sort(all(v));
vector<vector<string>> choose;
choose.resize(507, vector<string>(300));
for(int i = 0; i <= 500; i++) {
choose[i][0] = "1";
for(int j = 1; j <= min(256, i); j++) {
choose[i][j] = add(choose[i - 1][j], choose[i - 1][j - 1]);
}
}
string res = "1";
int sta = 0;
for(int i = 1; i <= sz(v); i++) {
int x = v[i - 1];
for(int j = sta; j < x; j++) {
res = add(res, choose[(255 - j) + (sz(v) - i)][(255 - j)]);
}
sta = x;
}
vector<int> ans;
for(int i = 1; i <= N; i++) {
ans.pb(Mod(res, 256));
res = Div(res, 256);
}
reverse(all(ans));
for(auto it : ans) output(it);
}
