/*************************************
* author: marvinthang *
* created: 02.06.2023 19:51:59 *
*************************************/
#include "encoder.h"
#include "encoderlib.h"
#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define left ___left
#define right ___right
#define TIME (1.0 * clock() / CLOCKS_PER_SEC)
#define MASK(i) (1LL << (i))
#define BIT(x, i) ((x) >> (i) & 1)
#define __builtin_popcount __builtin_popcountll
#define ALL(v) (v).begin(), (v).end()
#define REP(i, n) for (int i = 0, _n = (n); i < _n; ++i)
#define REPD(i, n) for (int i = (n); i--; )
#define FOR(i, a, b) for (int i = (a), _b = (b); i < _b; ++i)
#define FORD(i, b, a) for (int i = (b), _a = (a); --i >= _a; )
#define FORE(i, a, b) for (int i = (a), _b = (b); i <= _b; ++i)
#define FORDE(i, b, a) for (int i = (b), _a = (a); i >= _a; --i)
#define scan_op(...) istream & operator >> (istream &in, __VA_ARGS__ &u)
#define print_op(...) ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
#include "debug.h"
#else
#define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
#define DB(...) 23
#define db(...) 23
#define debug(...) 23
#endif
template <class U, class V> scan_op(pair <U, V>) { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>) { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>) { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")"; else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }
const int base = 1000000000;
const int base_digits = 9;
struct Bigint {
vector<int> a;
int sign;
/*<arpa>*/
int size(){
if(a.empty())return 0;
int ans=(a.size()-1)*base_digits;
int ca=a.back();
while(ca)
ans++,ca/=10;
return ans;
}
Bigint operator ^(const Bigint &v){
Bigint ans=1,a=*this,b=v;
while(!b.isZero()){
if(b%2)
ans*=a;
a*=a,b/=2;
}
return ans;
}
string to_string(){
stringstream ss;
ss << *this;
string s;
ss >> s;
return s;
}
int sumof(){
string s = to_string();
int ans = 0;
for(auto c : s) ans += c - '0';
return ans;
}
/*</arpa>*/
Bigint() :
sign(1) {
}
Bigint(long long v) {
*this = v;
}
Bigint(const string &s) {
read(s);
}
Bigint & operator=(const Bigint &v) { sign = v.sign; a = v.a; return *this; }
Bigint & operator=(long long v) {
sign = 1;
a.clear();
if (v < 0)
sign = -1, v = -v;
for (; v > 0; v = v / base)
a.push_back(v % base);
return *this;
}
Bigint operator+(const Bigint &v) const {
if (sign == v.sign) {
Bigint res = v;
for (int i = 0, carry = 0; i < (int) max(a.size(), v.a.size()) || carry; ++i) {
if (i == (int) res.a.size())
res.a.push_back(0);
res.a[i] += carry + (i < (int) a.size() ? a[i] : 0);
carry = res.a[i] >= base;
if (carry)
res.a[i] -= base;
}
return res;
}
return *this - (-v);
}
Bigint operator-(const Bigint &v) const {
if (sign == v.sign) {
if (abs() >= v.abs()) {
Bigint res = *this;
for (int i = 0, carry = 0; i < (int) v.a.size() || carry; ++i) {
res.a[i] -= carry + (i < (int) v.a.size() ? v.a[i] : 0);
carry = res.a[i] < 0;
if (carry)
res.a[i] += base;
}
res.trim();
return res;
}
return -(v - *this);
}
return *this + (-v);
}
Bigint & operator*=(int v) {
if (v < 0)
sign = -sign, v = -v;
for (int i = 0, carry = 0; i < (int) a.size() || carry; ++i) {
if (i == (int) a.size())
a.push_back(0);
long long cur = a[i] * (long long) v + carry;
carry = (int) (cur / base);
a[i] = (int) (cur % base);
//asm("divl %%ecx" : "=a"(carry), "=d"(a[i]) : "A"(cur), "c"(base));
}
trim();
return *this;
}
Bigint operator*(int v) const {
return Bigint(*this) *= v;
}
Bigint & operator*=(long long v) {
if (v < 0)
sign = -sign, v = -v;
if(v > base){
*this = *this * (v / base) * base + *this * (v % base);
return *this;
}
for (int i = 0, carry = 0; i < (int) a.size() || carry; ++i) {
if (i == (int) a.size())
a.push_back(0);
long long cur = a[i] * (long long) v + carry;
carry = (int) (cur / base);
a[i] = (int) (cur % base);
//asm("divl %%ecx" : "=a"(carry), "=d"(a[i]) : "A"(cur), "c"(base));
}
trim();
return *this;
}
Bigint operator*(long long v) const {
return Bigint(*this) *= v;
}
friend pair<Bigint, Bigint> divmod(const Bigint &a1, const Bigint &b1) {
int norm = base / (b1.a.back() + 1);
Bigint a = a1.abs() * norm;
Bigint b = b1.abs() * norm;
Bigint q, r;
q.a.resize(a.a.size());
for (int i = a.a.size() - 1; i >= 0; i--) {
r *= base;
r += a.a[i];
int s1 = r.a.size() <= b.a.size() ? 0 : r.a[b.a.size()];
int s2 = r.a.size() <= b.a.size() - 1 ? 0 : r.a[b.a.size() - 1];
int d = ((long long) base * s1 + s2) / b.a.back();
r -= b * d;
while (r < 0)
r += b, --d;
q.a[i] = d;
}
q.sign = a1.sign * b1.sign;
r.sign = a1.sign;
q.trim();
r.trim();
return make_pair(q, r / norm);
}
Bigint operator/(const Bigint &v) const {
return divmod(*this, v).first;
}
Bigint operator%(const Bigint &v) const {
return divmod(*this, v).second;
}
Bigint & operator/=(int v) {
if (v < 0)
sign = -sign, v = -v;
for (int i = (int) a.size() - 1, rem = 0; i >= 0; --i) {
long long cur = a[i] + rem * (long long) base;
a[i] = (int) (cur / v);
rem = (int) (cur % v);
}
trim();
return *this;
}
Bigint operator/(int v) const {
return Bigint(*this) /= v;
}
int operator%(int v) const {
if (v < 0)
v = -v;
int m = 0;
for (int i = a.size() - 1; i >= 0; --i)
m = (a[i] + m * (long long) base) % v;
return m * sign;
}
Bigint & operator+=(const Bigint &v) { *this = *this + v; return *this; }
Bigint & operator-=(const Bigint &v) { *this = *this - v; return *this; }
Bigint & operator*=(const Bigint &v) { *this = *this * v; return *this; }
Bigint & operator/=(const Bigint &v) { *this = *this / v; return *this; }
bool operator<(const Bigint &v) const {
if (sign != v.sign)
return sign < v.sign;
if (a.size() != v.a.size())
return a.size() * sign < v.a.size() * v.sign;
for (int i = a.size() - 1; i >= 0; i--)
if (a[i] != v.a[i])
return a[i] * sign < v.a[i] * sign;
return false;
}
bool operator>(const Bigint &v) const {
return v < *this;
}
bool operator<=(const Bigint &v) const {
return !(v < *this);
}
bool operator>=(const Bigint &v) const {
return !(*this < v);
}
bool operator==(const Bigint &v) const {
return !(*this < v) && !(v < *this);
}
bool operator!=(const Bigint &v) const {
return *this < v || v < *this;
}
void trim() {
while (!a.empty() && !a.back())
a.pop_back();
if (a.empty())
sign = 1;
}
bool isZero() const {
return a.empty() || (a.size() == 1 && !a[0]);
}
Bigint operator-() const {
Bigint res = *this;
res.sign = -sign;
return res;
}
Bigint abs() const {
Bigint res = *this;
res.sign *= res.sign;
return res;
}
long long longValue() const {
long long res = 0;
for (int i = a.size() - 1; i >= 0; i--)
res = res * base + a[i];
return res * sign;
}
friend Bigint gcd(const Bigint &a, const Bigint &b) {
return b.isZero() ? a : gcd(b, a % b);
}
friend Bigint lcm(const Bigint &a, const Bigint &b) {
return a / gcd(a, b) * b;
}
void read(const string &s) {
sign = 1;
a.clear();
int pos = 0;
while (pos < (int) s.size() && (s[pos] == '-' || s[pos] == '+')) {
if (s[pos] == '-')
sign = -sign;
++pos;
}
for (int i = s.size() - 1; i >= pos; i -= base_digits) {
int x = 0;
for (int j = max(pos, i - base_digits + 1); j <= i; j++)
x = x * 10 + s[j] - '0';
a.push_back(x);
}
trim();
}
friend istream& operator>>(istream &stream, Bigint &v) {
string s;
stream >> s;
v.read(s);
return stream;
}
friend ostream& operator<<(ostream &stream, const Bigint &v) {
if (v.sign == -1)
stream << '-';
stream << (v.a.empty() ? 0 : v.a.back());
for (int i = (int) v.a.size() - 2; i >= 0; --i)
stream << setw(base_digits) << setfill('0') << v.a[i];
return stream;
}
static vector<int> convert_base(const vector<int> &a, int old_digits, int new_digits) {
vector<long long> p(max(old_digits, new_digits) + 1);
p[0] = 1;
for (int i = 1; i < (int) p.size(); i++)
p[i] = p[i - 1] * 10;
vector<int> res;
long long cur = 0;
int cur_digits = 0;
for (int i = 0; i < (int) a.size(); i++) {
cur += a[i] * p[cur_digits];
cur_digits += old_digits;
while (cur_digits >= new_digits) {
res.push_back(int(cur % p[new_digits]));
cur /= p[new_digits];
cur_digits -= new_digits;
}
}
res.push_back((int) cur);
while (!res.empty() && !res.back())
res.pop_back();
return res;
}
typedef vector<long long> vll;
static vll karatsubaMultiply(const vll &a, const vll &b) {
int n = a.size();
vll res(n + n);
if (n <= 32) {
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
res[i + j] += a[i] * b[j];
return res;
}
int k = n >> 1;
vll a1(a.begin(), a.begin() + k);
vll a2(a.begin() + k, a.end());
vll b1(b.begin(), b.begin() + k);
vll b2(b.begin() + k, b.end());
vll a1b1 = karatsubaMultiply(a1, b1);
vll a2b2 = karatsubaMultiply(a2, b2);
for (int i = 0; i < k; i++)
a2[i] += a1[i];
for (int i = 0; i < k; i++)
b2[i] += b1[i];
vll r = karatsubaMultiply(a2, b2);
for (int i = 0; i < (int) a1b1.size(); i++)
r[i] -= a1b1[i];
for (int i = 0; i < (int) a2b2.size(); i++)
r[i] -= a2b2[i];
for (int i = 0; i < (int) r.size(); i++)
res[i + k] += r[i];
for (int i = 0; i < (int) a1b1.size(); i++)
res[i] += a1b1[i];
for (int i = 0; i < (int) a2b2.size(); i++)
res[i + n] += a2b2[i];
return res;
}
Bigint operator*(const Bigint &v) const {
vector<int> a6 = convert_base(this->a, base_digits, 6);
vector<int> b6 = convert_base(v.a, base_digits, 6);
vll a(a6.begin(), a6.end());
vll b(b6.begin(), b6.end());
while (a.size() < b.size())
a.push_back(0);
while (b.size() < a.size())
b.push_back(0);
while (a.size() & (a.size() - 1))
a.push_back(0), b.push_back(0);
vll c = karatsubaMultiply(a, b);
Bigint res;
res.sign = sign * v.sign;
for (int i = 0, carry = 0; i < (int) c.size(); i++) {
long long cur = c[i] + carry;
res.a.push_back((int) (cur % 1000000));
carry = (int) (cur / 1000000);
}
res.a = convert_base(res.a, 6, base_digits);
res.trim();
return res;
}
};
// end of template
void encode(int N, int M[]) {
int len = N * 5;
Bigint value = 0;
REP(i, N) REP(j, 8) value = value * 2 + BIT(M[i], j);
vector <vector <Bigint>> dp(len, vector<Bigint>(256, 0));
REP(i, 256) dp[len - 1][i] = 1;
REPD(i, len - 1) {
dp[i][255] = dp[i + 1][255];
REPD(j, 255) dp[i][j] = dp[i][j + 1] + dp[i + 1][j];
}
int cur = 0;
REP(i, len) {
FOR(j, cur, 256) {
if (value < dp[i][j]) {
send(j);
cur = j;
break;
} else value -= dp[i][j];
}
}
}
/*************************************
* author: marvinthang *
* created: 02.06.2023 19:52:14 *
*************************************/
#include "decoder.h"
#include "decoderlib.h"
#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define left ___left
#define right ___right
#define TIME (1.0 * clock() / CLOCKS_PER_SEC)
#define MASK(i) (1LL << (i))
#define BIT(x, i) ((x) >> (i) & 1)
#define __builtin_popcount __builtin_popcountll
#define ALL(v) (v).begin(), (v).end()
#define REP(i, n) for (int i = 0, _n = (n); i < _n; ++i)
#define REPD(i, n) for (int i = (n); i--; )
#define FOR(i, a, b) for (int i = (a), _b = (b); i < _b; ++i)
#define FORD(i, b, a) for (int i = (b), _a = (a); --i >= _a; )
#define FORE(i, a, b) for (int i = (a), _b = (b); i <= _b; ++i)
#define FORDE(i, b, a) for (int i = (b), _a = (a); i >= _a; --i)
#define scan_op(...) istream & operator >> (istream &in, __VA_ARGS__ &u)
#define print_op(...) ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
#include "debug.h"
#else
#define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
#define DB(...) 23
#define db(...) 23
#define debug(...) 23
#endif
template <class U, class V> scan_op(pair <U, V>) { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>) { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>) { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")"; else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }
const int base = 1000000000;
const int base_digits = 9;
struct Bigint {
vector<int> a;
int sign;
/*<arpa>*/
int size(){
if(a.empty())return 0;
int ans=(a.size()-1)*base_digits;
int ca=a.back();
while(ca)
ans++,ca/=10;
return ans;
}
Bigint operator ^(const Bigint &v){
Bigint ans=1,a=*this,b=v;
while(!b.isZero()){
if(b%2)
ans*=a;
a*=a,b/=2;
}
return ans;
}
string to_string(){
stringstream ss;
ss << *this;
string s;
ss >> s;
return s;
}
int sumof(){
string s = to_string();
int ans = 0;
for(auto c : s) ans += c - '0';
return ans;
}
/*</arpa>*/
Bigint() :
sign(1) {
}
Bigint(long long v) {
*this = v;
}
Bigint(const string &s) {
read(s);
}
Bigint & operator=(const Bigint &v) { sign = v.sign; a = v.a; return *this; }
Bigint & operator=(long long v) {
sign = 1;
a.clear();
if (v < 0)
sign = -1, v = -v;
for (; v > 0; v = v / base)
a.push_back(v % base);
return *this;
}
Bigint operator+(const Bigint &v) const {
if (sign == v.sign) {
Bigint res = v;
for (int i = 0, carry = 0; i < (int) max(a.size(), v.a.size()) || carry; ++i) {
if (i == (int) res.a.size())
res.a.push_back(0);
res.a[i] += carry + (i < (int) a.size() ? a[i] : 0);
carry = res.a[i] >= base;
if (carry)
res.a[i] -= base;
}
return res;
}
return *this - (-v);
}
Bigint operator-(const Bigint &v) const {
if (sign == v.sign) {
if (abs() >= v.abs()) {
Bigint res = *this;
for (int i = 0, carry = 0; i < (int) v.a.size() || carry; ++i) {
res.a[i] -= carry + (i < (int) v.a.size() ? v.a[i] : 0);
carry = res.a[i] < 0;
if (carry)
res.a[i] += base;
}
res.trim();
return res;
}
return -(v - *this);
}
return *this + (-v);
}
Bigint & operator*=(int v) {
if (v < 0)
sign = -sign, v = -v;
for (int i = 0, carry = 0; i < (int) a.size() || carry; ++i) {
if (i == (int) a.size())
a.push_back(0);
long long cur = a[i] * (long long) v + carry;
carry = (int) (cur / base);
a[i] = (int) (cur % base);
//asm("divl %%ecx" : "=a"(carry), "=d"(a[i]) : "A"(cur), "c"(base));
}
trim();
return *this;
}
Bigint operator*(int v) const {
return Bigint(*this) *= v;
}
Bigint & operator*=(long long v) {
if (v < 0)
sign = -sign, v = -v;
if(v > base){
*this = *this * (v / base) * base + *this * (v % base);
return *this;
}
for (int i = 0, carry = 0; i < (int) a.size() || carry; ++i) {
if (i == (int) a.size())
a.push_back(0);
long long cur = a[i] * (long long) v + carry;
carry = (int) (cur / base);
a[i] = (int) (cur % base);
//asm("divl %%ecx" : "=a"(carry), "=d"(a[i]) : "A"(cur), "c"(base));
}
trim();
return *this;
}
Bigint operator*(long long v) const {
return Bigint(*this) *= v;
}
friend pair<Bigint, Bigint> divmod(const Bigint &a1, const Bigint &b1) {
int norm = base / (b1.a.back() + 1);
Bigint a = a1.abs() * norm;
Bigint b = b1.abs() * norm;
Bigint q, r;
q.a.resize(a.a.size());
for (int i = a.a.size() - 1; i >= 0; i--) {
r *= base;
r += a.a[i];
int s1 = r.a.size() <= b.a.size() ? 0 : r.a[b.a.size()];
int s2 = r.a.size() <= b.a.size() - 1 ? 0 : r.a[b.a.size() - 1];
int d = ((long long) base * s1 + s2) / b.a.back();
r -= b * d;
while (r < 0)
r += b, --d;
q.a[i] = d;
}
q.sign = a1.sign * b1.sign;
r.sign = a1.sign;
q.trim();
r.trim();
return make_pair(q, r / norm);
}
Bigint operator/(const Bigint &v) const {
return divmod(*this, v).first;
}
Bigint operator%(const Bigint &v) const {
return divmod(*this, v).second;
}
Bigint & operator/=(int v) {
if (v < 0)
sign = -sign, v = -v;
for (int i = (int) a.size() - 1, rem = 0; i >= 0; --i) {
long long cur = a[i] + rem * (long long) base;
a[i] = (int) (cur / v);
rem = (int) (cur % v);
}
trim();
return *this;
}
Bigint operator/(int v) const {
return Bigint(*this) /= v;
}
int operator%(int v) const {
if (v < 0)
v = -v;
int m = 0;
for (int i = a.size() - 1; i >= 0; --i)
m = (a[i] + m * (long long) base) % v;
return m * sign;
}
Bigint & operator+=(const Bigint &v) { *this = *this + v; return *this; }
Bigint & operator-=(const Bigint &v) { *this = *this - v; return *this; }
Bigint & operator*=(const Bigint &v) { *this = *this * v; return *this; }
Bigint & operator/=(const Bigint &v) { *this = *this / v; return *this; }
bool operator<(const Bigint &v) const {
if (sign != v.sign)
return sign < v.sign;
if (a.size() != v.a.size())
return a.size() * sign < v.a.size() * v.sign;
for (int i = a.size() - 1; i >= 0; i--)
if (a[i] != v.a[i])
return a[i] * sign < v.a[i] * sign;
return false;
}
bool operator>(const Bigint &v) const {
return v < *this;
}
bool operator<=(const Bigint &v) const {
return !(v < *this);
}
bool operator>=(const Bigint &v) const {
return !(*this < v);
}
bool operator==(const Bigint &v) const {
return !(*this < v) && !(v < *this);
}
bool operator!=(const Bigint &v) const {
return *this < v || v < *this;
}
void trim() {
while (!a.empty() && !a.back())
a.pop_back();
if (a.empty())
sign = 1;
}
bool isZero() const {
return a.empty() || (a.size() == 1 && !a[0]);
}
Bigint operator-() const {
Bigint res = *this;
res.sign = -sign;
return res;
}
Bigint abs() const {
Bigint res = *this;
res.sign *= res.sign;
return res;
}
long long longValue() const {
long long res = 0;
for (int i = a.size() - 1; i >= 0; i--)
res = res * base + a[i];
return res * sign;
}
friend Bigint gcd(const Bigint &a, const Bigint &b) {
return b.isZero() ? a : gcd(b, a % b);
}
friend Bigint lcm(const Bigint &a, const Bigint &b) {
return a / gcd(a, b) * b;
}
void read(const string &s) {
sign = 1;
a.clear();
int pos = 0;
while (pos < (int) s.size() && (s[pos] == '-' || s[pos] == '+')) {
if (s[pos] == '-')
sign = -sign;
++pos;
}
for (int i = s.size() - 1; i >= pos; i -= base_digits) {
int x = 0;
for (int j = max(pos, i - base_digits + 1); j <= i; j++)
x = x * 10 + s[j] - '0';
a.push_back(x);
}
trim();
}
friend istream& operator>>(istream &stream, Bigint &v) {
string s;
stream >> s;
v.read(s);
return stream;
}
friend ostream& operator<<(ostream &stream, const Bigint &v) {
if (v.sign == -1)
stream << '-';
stream << (v.a.empty() ? 0 : v.a.back());
for (int i = (int) v.a.size() - 2; i >= 0; --i)
stream << setw(base_digits) << setfill('0') << v.a[i];
return stream;
}
static vector<int> convert_base(const vector<int> &a, int old_digits, int new_digits) {
vector<long long> p(max(old_digits, new_digits) + 1);
p[0] = 1;
for (int i = 1; i < (int) p.size(); i++)
p[i] = p[i - 1] * 10;
vector<int> res;
long long cur = 0;
int cur_digits = 0;
for (int i = 0; i < (int) a.size(); i++) {
cur += a[i] * p[cur_digits];
cur_digits += old_digits;
while (cur_digits >= new_digits) {
res.push_back(int(cur % p[new_digits]));
cur /= p[new_digits];
cur_digits -= new_digits;
}
}
res.push_back((int) cur);
while (!res.empty() && !res.back())
res.pop_back();
return res;
}
typedef vector<long long> vll;
static vll karatsubaMultiply(const vll &a, const vll &b) {
int n = a.size();
vll res(n + n);
if (n <= 32) {
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
res[i + j] += a[i] * b[j];
return res;
}
int k = n >> 1;
vll a1(a.begin(), a.begin() + k);
vll a2(a.begin() + k, a.end());
vll b1(b.begin(), b.begin() + k);
vll b2(b.begin() + k, b.end());
vll a1b1 = karatsubaMultiply(a1, b1);
vll a2b2 = karatsubaMultiply(a2, b2);
for (int i = 0; i < k; i++)
a2[i] += a1[i];
for (int i = 0; i < k; i++)
b2[i] += b1[i];
vll r = karatsubaMultiply(a2, b2);
for (int i = 0; i < (int) a1b1.size(); i++)
r[i] -= a1b1[i];
for (int i = 0; i < (int) a2b2.size(); i++)
r[i] -= a2b2[i];
for (int i = 0; i < (int) r.size(); i++)
res[i + k] += r[i];
for (int i = 0; i < (int) a1b1.size(); i++)
res[i] += a1b1[i];
for (int i = 0; i < (int) a2b2.size(); i++)
res[i + n] += a2b2[i];
return res;
}
Bigint operator*(const Bigint &v) const {
vector<int> a6 = convert_base(this->a, base_digits, 6);
vector<int> b6 = convert_base(v.a, base_digits, 6);
vll a(a6.begin(), a6.end());
vll b(b6.begin(), b6.end());
while (a.size() < b.size())
a.push_back(0);
while (b.size() < a.size())
b.push_back(0);
while (a.size() & (a.size() - 1))
a.push_back(0), b.push_back(0);
vll c = karatsubaMultiply(a, b);
Bigint res;
res.sign = sign * v.sign;
for (int i = 0, carry = 0; i < (int) c.size(); i++) {
long long cur = c[i] + carry;
res.a.push_back((int) (cur % 1000000));
carry = (int) (cur / 1000000);
}
res.a = convert_base(res.a, 6, base_digits);
res.trim();
return res;
}
};
// end of template
void decode(int N, int L, int X[]) {
vector <vector <Bigint>> dp(L, vector<Bigint>(256, 0));
REP(i, 256) dp[L - 1][i] = 1;
REPD(i, L - 1) {
dp[i][255] = dp[i + 1][255];
REPD(j, 255) dp[i][j] = dp[i][j + 1] + dp[i + 1][j];
}
Bigint value = 0;
sort(X, X + L);
REP(i, L) {
if (!i) REP(j, X[i]) value += dp[i][j];
else value += dp[i - 1][X[i - 1]] - dp[i - 1][X[i]];
}
vector <int> res;
REP(i, N) {
int cur = 0;
REPD(j, 8) if (!value.a.empty()) {
if (value.a[0] & 1) cur ^= MASK(j);
value /= 2;
}
res.push_back(cur);
}
reverse(ALL(res));
for (int x: res) output(x);
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
26 ms |
1932 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
126 ms |
2156 KB |
Output is correct |
| 2 |
Correct |
176 ms |
2724 KB |
Output is correct |
| 3 |
Correct |
240 ms |
3496 KB |
Output is correct |
| 4 |
Correct |
254 ms |
3628 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
131 ms |
2232 KB |
Output is correct |
| 2 |
Correct |
167 ms |
2696 KB |
Output is correct |
| 3 |
Correct |
250 ms |
3572 KB |
Output is correct |
| 4 |
Correct |
248 ms |
3928 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
124 ms |
2360 KB |
Output is correct |
| 2 |
Correct |
266 ms |
3856 KB |
Output is correct |
| 3 |
Correct |
338 ms |
4468 KB |
Output is correct |
| 4 |
Correct |
505 ms |
6444 KB |
Output is correct |
| 5 |
Correct |
558 ms |
6796 KB |
Output is correct |
| 6 |
Correct |
527 ms |
6796 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
265 ms |
3760 KB |
Output is correct - P = 5.000000 |
| 2 |
Correct |
544 ms |
6832 KB |
Output is correct - P = 5.000000 |
| 3 |
Correct |
543 ms |
7096 KB |
Output is correct - P = 5.000000 |
| 4 |
Correct |
856 ms |
11264 KB |
Output is correct - P = 5.000000 |
| 5 |
Correct |
1074 ms |
13348 KB |
Output is correct - P = 5.000000 |
| 6 |
Correct |
1126 ms |
14196 KB |
Output is correct - P = 5.000000 |
| 7 |
Correct |
1158 ms |
14404 KB |
Output is correct - P = 5.000000 |
