#include "Anna.h"
#include <bits/stdc++.h>
using namespace std;
#define sz(s) (int(s.size()))
typedef unsigned int ui;
typedef unsigned long long ll;
typedef long double ld;
namespace anna {
const int enc_bits = 32;
vector<ll> optimal_probs({1640535876, 1640535876, 1013895539, 5});
class encoder {
public:
vector<ll> probs;
vector<ll> psum;
int ef;
encoder(vector<ll> &p, int ef) : ef(ef) {
psum.push_back(0);
for (int v: p) {
probs.push_back(v);
psum.push_back(psum.back()+v);
}
assert(psum.back() == (1ll<<enc_bits));
}
ll shift(ll v) {
return (v<<1)&((1ll<<enc_bits)-1);
}
ll shift2(ll v) {
return ((v<<1)&((1ll<<(enc_bits-1))-1))+(v&(1ll<<(enc_bits-1)));
}
void encode(vector<int> &msg, vector<int> &out) {
msg.push_back(ef);
ll low = 0, high = (1ll<<enc_bits)-1;
int pend = 0;
ll div = (1ll<<(enc_bits-1));
auto ppend = [&](bool b) {
out.push_back(b);
while (pend) {
out.push_back(!b);
pend--;
}
};
for (int v: msg) {
ll range = (ll)high-low+1;
high = low + ((range*psum[v+1])>>enc_bits)-1;
low = low + ((range*psum[v])>>enc_bits);
while (1) {
if (high < div) {
ppend(0);
high = shift(high);
low = shift(low);
}
else if (low >= div) {
ppend(1);
high = shift(high);
low = shift(low);
}
else if (low >= div/2 && high < 3*div/2) {
pend++;
low = shift2(low);
high = shift2(high);
}
else break;
}
if (v == ef) break;
}
pend++;
if (low < div/2) {
ppend(0);
}
else {
ppend(1);
}
}
int get_char(ll r, ll v) {
assert(v < r);
assert(v >= 0);
for (int i = 0; i < sz(probs); i++) {
if (((psum[i+1]*r)>>enc_bits) > v) return i;
}
assert(false);
}
void decode(vector<int> &inp, vector<int> &out) {
for (int i = 0; i < enc_bits; i++) inp.push_back(0);
ll value = 0;
int p = 0;
for (int i = 0; i < enc_bits; i++) value = (value<<1)+inp[p++];
ll low = 0, high = (1ll<<enc_bits)-1;
int pend = 0;
ll div = (1ll<<(enc_bits-1));
for (int i = 0; i < sz(inp); i++) {
ll range = (ll)high-low+1;
int v = get_char(range, value-low);
if (v != ef) out.push_back(v);
high = low + ((range*psum[v+1])>>enc_bits)-1;
low = low + ((range*psum[v])>>enc_bits);
while (1) {
if (high < div) {
high = shift(high);
low = shift(low);
value = shift(value);
}
else if (low >= div) {
high = shift(high);
low = shift(low);
value = shift(value);
}
else if (low >= div/2 && high < 3*div/2) {
high = shift2(high);
low = shift2(low);
value = shift2(value);
}
else break;
value += inp[p++];
}
if (v == ef) break;
}
}
};
void print(vector<int> &v) {
for (int u: v) cerr << u << ' ';
cerr << '\n';
}
}
void Anna(int n, vector<char> S) {
vector<int> conv;
int p = 1;
for (int i = 0; i < n && S[i] != 'X'; i++) S[i] = 'Y';
int r = n-1;
for (; r >= 0 && S[r] != 'Z'; r--) S[r] = 'Y';
if (r < 2) return;
for (int i = r-1; i > 0 && S[i] != 'Y'; i--) S[i] = 'X';
for (char c: S) {
int v = c-'X';
if ((v&1)==(p&1)) conv.push_back(1);
else {
conv.push_back(v);
p = v;
}
}
conv.resize(r);
conv.push_back(1);
vector<int> gold_code; // 0 -> XY, 1 -> ZY, 2 -> YXY
for (int i = 0; i < sz(conv);) {
if (conv[i] != 1) {
assert(i < sz(conv)-1);
assert(conv[i+1] == 1);
gold_code.push_back(conv[i]/2);
i += 2;
}
else {
if (i == sz(conv)-1) break;
if (conv[i+1] == 1) {
conv[i] = 2;
gold_code.push_back(1);
i += 2;
}
else if (conv[i+1] == 2) {
swap(conv[i], conv[i+1]);
gold_code.push_back(1);
i += 2;
}
else {
assert(i < sz(conv)-2);
assert(conv[i+2] == 1);
gold_code.push_back(2);
i += 3;
}
}
}
// anna::print(gold_code);
bool ex = (conv.end()[-2] == 1);
if (ex) conv.pop_back();
vector<int> to_send;
anna::encoder enc(anna::optimal_probs, 3);
enc.encode(gold_code, to_send);
for (int v: to_send) Send(v);
Send(ex);
}
#include "Bruno.h"
#include <bits/stdc++.h>
using namespace std;
typedef unsigned long long ll;
#define sz(s) (int(s.size()))
namespace bruno {
const int enc_bits = 32;
vector<ll> optimal_probs({1640535876, 1640535876, 1013895539, 5});
class encoder {
public:
vector<ll> probs;
vector<ll> psum;
int ef;
encoder(vector<ll> &p, int ef) : ef(ef) {
psum.push_back(0);
for (int v: p) {
probs.push_back(v);
psum.push_back(psum.back()+v);
}
assert(psum.back() == (1ll<<enc_bits));
}
ll shift(ll v) {
return (v<<1)&((1ll<<enc_bits)-1);
}
ll shift2(ll v) {
return ((v<<1)&((1ll<<(enc_bits-1))-1))+(v&(1ll<<(enc_bits-1)));
}
void encode(vector<int> &msg, vector<int> &out) {
msg.push_back(ef);
ll low = 0, high = (1ll<<enc_bits)-1;
int pend = 0;
ll div = (1ll<<(enc_bits-1));
auto ppend = [&](bool b) {
out.push_back(b);
while (pend) {
out.push_back(!b);
pend--;
}
};
for (int v: msg) {
ll range = (ll)high-low+1;
high = low + ((range*psum[v+1])>>enc_bits)-1;
low = low + ((range*psum[v])>>enc_bits);
while (1) {
if (high < div) {
ppend(0);
high = shift(high);
low = shift(low);
}
else if (low >= div) {
ppend(1);
high = shift(high);
low = shift(low);
}
else if (low >= div/2 && high < 3*div/2) {
pend++;
low = shift2(low);
high = shift2(high);
}
else break;
}
if (v == ef) break;
}
pend++;
if (low < div/2) {
ppend(0);
}
else {
ppend(1);
}
}
int get_char(ll r, ll v) {
assert(v < r);
assert(v >= 0);
for (int i = 0; i < sz(probs); i++) {
if (((psum[i+1]*r)>>enc_bits) > v) return i;
}
assert(false);
}
void decode(vector<int> &inp, vector<int> &out) {
for (int i = 0; i < enc_bits; i++) inp.push_back(0);
ll value = 0;
int p = 0;
for (int i = 0; i < enc_bits; i++) value = (value<<1)+inp[p++];
ll low = 0, high = (1ll<<enc_bits)-1;
int pend = 0;
ll div = (1ll<<(enc_bits-1));
for (int i = 0; i < sz(inp); i++) {
ll range = (ll)high-low+1;
int v = get_char(range, value-low);
if (v != ef) out.push_back(v);
high = low + ((range*psum[v+1])>>enc_bits)-1;
low = low + ((range*psum[v])>>enc_bits);
while (1) {
if (high < div) {
high = shift(high);
low = shift(low);
value = shift(value);
}
else if (low >= div) {
high = shift(high);
low = shift(low);
value = shift(value);
}
else if (low >= div/2 && high < 3*div/2) {
high = shift2(high);
low = shift2(low);
value = shift2(value);
}
else break;
value += inp[p++];
}
if (v == ef) break;
}
}
};
void print(vector<int> &v) {
for (int u: v) cerr << u << ' ';
cerr << '\n';
}
}
void Bruno(int n, int l, vector<int> A) {
if (sz(A) == 0) {
for (int i = 0; i < n; i++) Remove(i);
return;
}
bool ex = A.back();
A.pop_back();
vector<int> decoded; // 0 -> XY, 1 -> ZY, 2 -> YXY
bruno::encoder enc(bruno::optimal_probs, 3);
enc.decode(A, decoded);
// bruno::print(decoded);
vector<int> tp;
for (int v: decoded) {
if (v == 0) {
tp.push_back(0);
}
else if (v == 1) {
tp.push_back(2);
}
else {
tp.push_back(1);
tp.push_back(0);
}
tp.push_back(1);
}
int r = sz(tp)-1 + ex;
if (ex) tp.push_back(2);
else tp[r] = 2;
set<int> xz, y;
while (sz(tp) < n) tp.push_back(1);
for (int i = 0; i < n; i++) {
if (tp[i]&1) y.insert(i);
else xz.insert(i);
}
auto del = [&](int v) {
if (tp[v]&1) {
if (y.find(v) == y.end()) return;
y.erase(v);
}
else {
if (xz.find(v) == xz.end()) return;
xz.erase(v);
}
Remove(v);
};
if (sz(xz) > 1) {
int lim = *(xz.begin());
for (int s = *(xz.begin()); s != *(xz.rbegin()); ) {
int nxt = *(xz.upper_bound(s));
if (nxt == r) break;
if (tp[nxt] == 0) {
s = nxt;
lim = nxt;
continue;
}
for (int i = lim+1; i <= nxt; i++) del(i);
lim = nxt;
}
int s = *(xz.rbegin());
lim = s;
while (sz(xz) > 1) {
int p = *(--xz.find(s));
for (int i = p+1; i < lim; i++) del(i);
del(p);
lim = p;
}
}
for (int i = 0; i < n; i++) del(i);
}
