#include "encoder.h"
#include "encoderlib.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
namespace{
int n;
ll arr[102];
ll comb[52][52];
int const1[] = {5, 10, 15, 20};
int const2[] = {16+5, 16+10, 16+15, 16+20};
}
void encode(int N, int M[]){
comb[0][0] = 1LL;
for(int i=1; i<=50; i++){
comb[i][0] = comb[i][i] = 1LL;
for(int j=1; j<i; j++){
comb[i][j] = comb[i-1][j] + comb[i-1][j-1];
}
}
n = N;
memset(arr, 0, sizeof(arr));
for(int i=0; i<n; i++){
int tmp = M[i];
arr[i] = tmp;
}
for(int c=0; c<n; c+=4){
int tConst = (c+4 < n ? 4 : n-c);
int c1 = const1[tConst-1];
int c2 = const2[tConst-1];
ll par = (arr[c+3]<<24LL) + (arr[c+2]<<16LL) + (arr[c+1]<<8LL) + arr[c] + 1;
vector<int> vec;
int leftK = c1;
for(int i=0; i<c2 && leftK; i++){
if(par <= comb[c2-1-i][leftK]){
continue;
}
par -= comb[c2-1-i][leftK];
vec.push_back(i);
leftK--;
}
assert(par == 1);
assert((int) vec.size() == c1);
for(int i=0; i<c1; i++) vec[i] -= i;
for(int i=0; i<c1; i++){
if(vec[i] < 16) send((c/4) * 16 + vec[i]);
}
}
}
#include "decoder.h"
#include "decoderlib.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
namespace {
int n, k;
ll arr[102];
ll code[200002];
ll comb[52][52];
int const1[] = {5, 10, 15, 20};
int const2[] = {16+5, 16+10, 16+15, 16+20};
}
void decode(int N, int L, int X[]){
comb[0][0] = 1;
for(int i=1; i<=50; i++){
comb[i][0] = comb[i][i] = 1;
for(int j=1; j<i; j++){
comb[i][j] = comb[i-1][j] + comb[i-1][j-1];
}
}
memset(arr, 0, sizeof(arr));
n = N, k = L;
for(int i=0; i<k; i++) code[i] = X[i];
sort(code, code+k);
int pnt = 0;
for(int c=0; c<n; c+=4){
int tConst = (c+4 < n ? 4 : n-c);
int c1 = const1[tConst-1];
int c2 = const2[tConst-1];
vector<int> codes;
while(pnt < k && code[pnt]/16 == c/4){
codes.push_back(code[pnt]%16);
pnt++;
}
while((int)codes.size() < c1) codes.push_back(16);
for(int i=0; i<c1; i++) codes[i] += i;
ll parm = 0;
for(int i=0; i<c1; i++){
parm += comb[c2-1-codes[i]][c1-i];
}
arr[c+3] = parm >> 24;
arr[c+2] = (parm >> 16) & 255;
arr[c+1] = (parm >> 8) & 255;
arr[c] = parm & 255;
}
for(int i=0; i<n; i++){
output(arr[i]);
}
}
