#include "encoder.h"
#include "encoderlib.h"
#include <bits/stdc++.h>
using namespace std;
int n;
int OK = 0;
void aduan2(int a[], int b[])
{
// cout << " ADUN " << a[0] << " " << b[0] << "\n";
// cout << a[1] << " " << b[1] << " " << a[2] << " " << b[2] << "\n";
/*if(a[0] == 0)
{
memset(a, 0, sizeof(a));
for(int i = 0; i <= 199; i ++)
a[i] = 0;
}*/
int i = 1;
int t = 0;
for(i = 1; i <= max(a[0], b[0]) || t; i ++)
{
//if(OK)
//cout << " SUTNEM " << i << " " << a[i] << " " << b[i] << " " << t << "\n";
a[i] += b[i] + t;
t = 0;
if(a[i] > 9)
{
t = a[i] / 10;
a[i] %= 10;
}
}
//cout << a[0] << " " << i-1 << "\n";
a[0] = i - 1;
}
bool cm2(int a[], int b[])
{
if(a[0] > b[0])
return 1;
if(a[0] < b[0])
return 0;
for(int i = a[0]; i >= 1; i --)
{
if(a[i] != b[i])
return (a[i] > b[i]);
}
return 1;
}
void copiv(int a[], int b[])
{
for(int i = 1; i <= a[0]; i ++)
a[i] = 0;
a[0] = b[0];
for(int i = 1; i <= b[0]; i ++)
a[i] = b[i];
}
void scad(int a[], int b[])
{
int t = 0;
for(int i = 1; i <= b[0] || t; i ++)
{
a[i] = a[i] - t - b[i];
t = 0;
if(a[i] < 0)
{
t = 1;
a[i] += 10;
}
}
while(a[0] > 1 && a[a[0]] == 0)
a[0] --;
}
struct nr
{
int v[200];
void operator +=(nr &x)
{
aduan2(v, x.v);
}
void operator -=(nr &x)
{
scad(v, x.v);
}
void operator =(nr &x)
{
copiv(v, x.v);
}
bool operator >= (nr &x)
{
return cm2(v, x.v);
}
};
//#define 64 64
nr a, b;
nr p2;
nr cod;
nr s;
nr dp[255 + 1][64 * 5 + 1];
nr sumdp[255 + 1][64 * 5 + 1];
int okk;
void faDp()
{
if(okk == 1)
return;
// cout << "TINRA DP\n";
/*
for(int i = 0; i <= 255; i ++)
{
for(int j = 0; j <= 320; j ++)
{
memset(dp[i][j].v, 0, sizeof(dp[i][j].v));
memset(sumdp[i][j].v, 0, sizeof(sumdp[i][j].v));
}
}*/
okk = 1;
dp[0][0].v[0] = 1;
dp[0][0].v[1] = 1;
for(int i = 0; i < 255; i ++)
{
for(int j = 0; j <= 64 * 5; j ++)
{
//cout << i << " " << j << " " << dp[i][j].v[0] << "\n";
if(i == 1 && j == 256)
OK = 1;
else
OK = 0;
if(j > 0)
{
// cout << " ADUN LA SUMP " << i << " " << j << " PE " << i << " " << j - 1 << "\n";
sumdp[i][j] += sumdp[i][j - 1];
}
OK = 0;
// cout << " ADUN LA I J pe usmp i j \n";
dp[i][j] += sumdp[i][j];
if(dp[i][j].v[0] != 0)
{
// cout << " ADUN LA URM " << i + 1 << " " << j << " PE " << i << " " << j << "\n";
sumdp[i + 1][j] += dp[i][j];
if(j + 256 <= 64 * 5)
{
// cout << " AVEM " << j+256 << " SI SCADEM DIN " << i + 1 << " \n";
sumdp[i + 1][j + 256] -= dp[i][j];
}
}
}
}
// cout << "GATRA DP\n";
}
/*
void afis(nr a)
{
for(int i = a.v[0]; i >= 1; i --)
cout << a.v[i];
cout << "\n";
}*/
void encode(int N, int M[])
{
//cout << "TINRA ECONDE\n";
n = N;
faDp();
int k = 0;
int a[700];
for(int i = 0; i < N; i ++)
{
for(int j = 7; j >= 0; j --)
a[++ k] = (((1 << j) & M[i]) != 0);
}
memset(p2.v, 0, sizeof(p2.v));
memset(cod.v, 0, sizeof(cod.v));
memset(s.v, 0, sizeof(s.v));
p2.v[0] = 1;
p2.v[1] = 1;
cod.v[0] = 1;
cod.v[1] = 0;
for(int i = k; i >= 1; i --)
{
if(a[i] != 0)
cod += p2;
p2 += p2;
}
int sum = 5 * n;
for(int i = 0; i <= 255; i ++)
{
int last = 0;
for(int j = 0; j <= n * 5 && j <= sum; j ++)
{
//cout << " SUNTEM IN " << i << " CR " << j << "\n";
if(cod >= s)
last = j;
else
{
s -= dp[255 - i - 1][sum - last];
break;
}
// cout << " URM ADUNS \n";
s += dp[255 - i - 1][sum - j];
// cout << " GATA ADUN\n";
}
// cout << " PENTRU FRECVENTA LUI " << i << " ESTE " << last << "\n";
sum -= last;
for(int j = 1; j <= last; j ++)
send(i);
}
//cout << "RAMAS == 0: " << sum << "\n";
//afis(cod);
// afis(s);
}
#include "decoder.h"
#include "decoderlib.h"
#include <bits/stdc++.h>
using namespace std;
int nn;
void aduna(int a[], int b[])
{
// cout << " ADUN " << a[0] << " " << b[0] << "\n";
// cout << a[1] << " " << b[1] << " " << a[2] << " " << b[2] << "\n";
int i = 1;
int t = 0;
for(i = 1; i <= max(a[0], b[0]) || t; i ++)
{
// cout << " SUTNEM " << i << "\n";
a[i] += b[i] + t;
t = 0;
if(a[i] > 9)
{
t = a[i] / 10;
a[i] %= 10;
}
}
//cout << a[0] << " " << i-1 << "\n";
a[0] = i - 1;
}
bool cmp(int a[], int b[])
{
if(a[0] > b[0])
return 1;
if(a[0] < b[0])
return 0;
for(int i = a[0]; i >= 1; i --)
{
if(a[i] != b[i])
return (a[i] > b[i]);
}
return 1;
}
void copyV(int a[], int b[])
{
for(int i = 1; i <= a[0]; i ++)
a[i] = 0;
a[0] = b[0];
for(int i = 1; i <= b[0]; i ++)
a[i] = b[i];
}
void scade(int a[], int b[])
{
int t = 0;
for(int i = 1; i <= b[0] || t; i ++)
{
a[i] = a[i] - t - b[i];
t = 0;
if(a[i] < 0)
{
t = 1;
a[i] += 10;
}
}
while(a[0] > 1 && a[a[0]] == 0)
a[0] --;
}
struct nr
{
int v[200];
void operator +=(nr &x)
{
aduna(v, x.v);
}
void operator -=(nr &x)
{
scade(v, x.v);
}
void operator =(nr &x)
{
copyV(v, x.v);
}
bool operator >= (nr &x)
{
return cmp(v, x.v);
}
};
//#define 64 64
nr dpp[255 + 1][64 * 5 + 1];
nr ssdpp[255 + 1][64 * 5 + 1];
nr p22;
nr codd;
nr ss;
int doneDp;
void getdpp()
{
if(doneDp == 1)
return;
doneDp = 1;
dpp[0][0].v[0] = 1;
dpp[0][0].v[1] = 1;
for(int i = 0; i < 255; i ++)
{
for(int j = 0; j <= nn * 5; j ++)
{
if(j > 0)
ssdpp[i][j] += ssdpp[i][j - 1];
dpp[i][j] += ssdpp[i][j];
if(dpp[i][j].v[0] != 0)
{
ssdpp[i + 1][j] += dpp[i][j];
if(j + 256 <= nn * 5)
ssdpp[i + 1][j + 256] -= dpp[i][j];
}
}
}
}
nr p[600];
nr sp;
nr tmp;
int doneP;
void getPs()
{
if(doneP == 1)
return;
doneP = 1;
p[0].v[0] = 1;
p[0].v[1] = 1;
for(int i = 1; i <= 520; i ++)
{
p[i].v[0] = 1;
p[i].v[1] = 0;
p[i] += p[i - 1];
p[i] += p[i - 1];
}
}
void decode(int N, int L, int X[])
{
//cout << " INTRA DECODe\n";
nn = N;
getdpp();
int ap[256];
for(int i = 0; i <= 255; i ++)
ap[i] = 0;
for(int i = 0; i < L; i ++)
ap[X[i]] ++;
memset(ss.v, 0, sizeof(ss.v));
memset(sp.v, 0, sizeof(sp.v));
memset(tmp.v, 0, sizeof(tmp.v));
int sum = 5 * nn;
for(int i = 0; i <= 255; i ++)
{
// if(ap[i] > 0)
// cout << i <<"APRAE " << ap[i] << "\n";
int last = 0;
for(int j = 0; j < ap[i]; j ++)
ss += dpp[255 - i - 1][sum - j];
sum -= ap[i];
}
//cout << " CODUL ESTE : ";
// afis(s);
getPs();
sp.v[0] = 1;
sp.v[1] = 0;
int a[600];
memset(a, 0, sizeof(a));
for(int i = nn * 8 - 1; i >= 0; i --)
{
tmp = sp;
tmp += p[i];
if(ss >= tmp)
{
sp += p[i];
a[i] = 1;
}
}
// cout << "\n";
for(int i = nn * 8 - 1; i >= 0; i -= 8)
{
int nr = 0;
for(int x = 7, j = 0; x >= 0; x --, j ++)
nr += (a[i - j] << x);
output(nr);
}
//cout << "GATA DECODE\n";
}
