This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "encoder.h"
#include "encoderlib.h"
#include <bits/stdc++.h>
using namespace std;
#define isz(a) (int)(a).size()
#define ll long long
#define vu vector <unsigned>
const int NM = 64;
const ll base = 1LL<<32;
int N, L, M[NM+5], X[5*NM+5];
vu dp[5*NM+5][256];
vu create(ll x){
vu s = {};
while (x > 0){
s.push_back(x%base);
x /= base;
}
if (s.empty()) s.push_back(0);
reverse(s.begin(), s.end());
return s;
}
ll decreate(vu s){
ll x = 0;
for (int i = 0; i < isz(s); i++)
x = x*base+s[i];
return x;
}
int cmp(vu a, vu b){
if (isz(a) < isz(b)) return -1;
if (isz(a) > isz(b)) return 1;
if (a < b) return -1;
if (a > b) return 1;
return 0;
}
vu add(vu a, vu b){
reverse(a.begin(), a.end());
reverse(b.begin(), b.end());
while (isz(a) < isz(b)) a.push_back(0);
while (isz(b) < isz(a)) b.push_back(0);
vu c = {};
ll carry = 0;
for (int i = 0; i < isz(a); i++){
ll s = (ll)a[i]+b[i]+carry;
c.push_back(s%base);
carry = s/base;
}
if (carry > 0) c.push_back(1);
reverse(c.begin(), c.end());
return c;
}
vu sub(vu a, vu b){
reverse(a.begin(), a.end());
reverse(b.begin(), b.end());
while (isz(a) < isz(b)) a.push_back(0);
while (isz(b) < isz(a)) b.push_back(0);
vu c = {};
int borrow = 0;
for (int i = 0; i < isz(a); i++){
ll h = (ll)a[i]-b[i]-borrow;
if (h < 0){
h += base;
borrow = 1;
}
else{
borrow = 0;
}
c.push_back(h);
}
while (isz(c) > 1 && c[isz(c)-1] == 0) c.pop_back();
reverse(c.begin(), c.end());
return c;
}
void preprocess(){
for (int i = 255; i >= 0; i--){
dp[L][i] = create(256-i);
}
for (int i = L-1; i >= 1; i--)
for (int j = 255; j >= 0; j--){
dp[i][j] = dp[i+1][j];
if (j < 255) dp[i][j] = add(dp[i][j], dp[i][j+1]);
}
}
vu mul(vu a, ll b){
vu c = {};
ll carry = 0;
for (int i = isz(a)-1; i >= 0; i--){
ll s = (ll)a[i]*b+carry;
c.push_back(s%base);
carry = s/base;
}
while (carry > 0){
c.push_back(carry%base);
carry /= base;
}
while (isz(c) > 1 && c[isz(c)-1] == 0) c.pop_back();
reverse(c.begin(), c.end());
return c;
}
void trace(int i, vu s){
if (i > L) return;
for (int j = 255; j >= 0; j--){
if (cmp(dp[i][j], s) >= 0){
send(j);
if (j < 255) s = sub(s, dp[i][j+1]);
trace(i+1, s);
return;
}
}
}
void encode(int _N, int _M[]){
N = _N;
L = 5*N;
for (int i = 0; i < N; i++) M[i] = _M[i];
preprocess();
vu tmp = create(0);
for (int i = 0; i < N; i++){
tmp = add(mul(tmp, 256), create(M[i]));
}
tmp = add(tmp, create(1));
trace(1, tmp);
}
#include "decoder.h"
#include "decoderlib.h"
#include <bits/stdc++.h>
using namespace std;
#define isz(a) (int)(a).size()
#define ll long long
#define vu vector <unsigned>
const int NM = 64;
const ll base = 1LL<<32;
int N, L, M[NM+5], X[5*NM+5];
vu dp[5*NM+5][256];
vu create(ll x){
vu s = {};
while (x > 0){
s.push_back(x%base);
x /= base;
}
if (s.empty()) s.push_back(0);
reverse(s.begin(), s.end());
return s;
}
ll decreate(vu s){
ll x = 0;
for (int i = 0; i < isz(s); i++)
x = x*base+s[i];
return x;
}
int cmp(vu a, vu b){
if (isz(a) < isz(b)) return -1;
if (isz(a) > isz(b)) return 1;
if (a < b) return -1;
if (a > b) return 1;
return 0;
}
vu add(vu a, vu b){
reverse(a.begin(), a.end());
reverse(b.begin(), b.end());
while (isz(a) < isz(b)) a.push_back(0);
while (isz(b) < isz(a)) b.push_back(0);
vu c = {};
ll carry = 0;
for (int i = 0; i < isz(a); i++){
ll s = (ll)a[i]+b[i]+carry;
c.push_back(s%base);
carry = s/base;
}
if (carry > 0) c.push_back(1);
reverse(c.begin(), c.end());
return c;
}
vu sub(vu a, vu b){
reverse(a.begin(), a.end());
reverse(b.begin(), b.end());
while (isz(a) < isz(b)) a.push_back(0);
while (isz(b) < isz(a)) b.push_back(0);
vu c = {};
int borrow = 0;
for (int i = 0; i < isz(a); i++){
ll h = (ll)a[i]-b[i]-borrow;
if (h < 0){
h += base;
borrow = 1;
}
else{
borrow = 0;
}
c.push_back(h);
}
while (isz(c) > 1 && c[isz(c)-1] == 0) c.pop_back();
reverse(c.begin(), c.end());
return c;
}
void preprocess(){
for (int i = 255; i >= 0; i--){
dp[L][i] = create(256-i);
}
for (int i = L-1; i >= 1; i--)
for (int j = 255; j >= 0; j--){
dp[i][j] = dp[i+1][j];
if (j < 255) dp[i][j] = add(dp[i][j], dp[i][j+1]);
}
}
vu find_order(int i){
if (i > L) return create(1);
vu res = create(0);
if (X[i] < 255) res = dp[i][X[i]+1];
return add(res, find_order(i+1));
}
vu div(vu a, ll b){
vu c = {};
ll h = 0;
for (int i = 0; i < isz(a); i++){
h = (ll)h*base+a[i];
c.push_back(h/b);
h %= b;
}
reverse(c.begin(), c.end());
while (isz(c) > 1 && c[isz(c)-1] == 0) c.pop_back();
reverse(c.begin(), c.end());
return c;
}
ll mod(vu a, ll b){
ll h = 0;
for (int i = 0; i < isz(a); i++){
h = ((ll)h*base+a[i])%b;
}
return h;
}
void decode(int _N, int _L, int _X[]){
N = _N;
L = _L;
for (int i = 1; i <= L; i++) X[i] = _X[i-1];
sort(X+1, X+1+L);
preprocess();
vu tmp = sub(find_order(1), create(1));
for (int i = N-1; i >= 0; i--){
M[i] = mod(tmp, 256);
tmp = div(tmp, 256);
}
for (int i = 0; i < N; i++) output(M[i]);
}
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