#include "Anna.h"
#include <utility>
#include <vector>
#include <bits/stdc++.h>
using namespace std;
namespace Anna_solver{
const int M=144, BIT=60, MX=21;
int Declare(){
return M;
}
long long dp[M+10], dp2[M+10];
void gen(){
dp[0]=1;
for (int i=0; i<=M; ++i){
for (int k=3; k<=MX; k+=2) if (i+k<=M) dp[i+k]+=dp[i];
}
dp2[0]=1;
for (int i=0; i<=M; ++i){
if (!i){
for (int k=2; k<=MX; k+=2) if (i+k<=M) dp2[i+k]+=dp2[i];
}else{
for (int k=3; k<=MX; k+=2) if (i+k<=M) dp2[i+k]+=dp2[i];
}
}
for (int i=2; i<=M; ++i){
long long sum=0;
for (int k=2; k<=MX; k+=2) if (i>=k) sum+=dp[i-k];
assert(dp2[i]==sum);
}
}
pair<vector<int>, vector<int>> Anna(long long A){
if (!dp[0]) gen();
long long l1=51e16, l2=68e16;
int s1=0;
int k0=3;
int len=0;
if (A<=l1){
if (A>l1/2) s1=1, A-=l1/2;
while (A>=dp[len]){
A-=dp[len];
++len;
}
}else{
k0=2;
A-=l1;
if (A>l2/2) s1=1, A-=l2/2;
while (A>=dp2[len]){
A-=dp2[len];
++len;
}
}
vector<int> v;
while ((int)v.size()<len){
for (int k=v.empty()?k0:3; k<=MX; k+=2){
if (A>=dp[len-(int)v.size()-k]){
A-=dp[len-(int)v.size()-k];
}else{
int val=v.empty()?s1:(v.back()^1);
while (k--) v.push_back(val);
break;
}
}
}
vector<int> vv;
for (int i=0; i<(int)v.size(); ++i) vv.push_back(vv.empty()?0:vv.back()^1);
return {v, vv};
}
}
int Declare() {
return Anna_solver::Declare();
}
std::pair<std::vector<int>, std::vector<int> > Anna(long long A) {
return Anna_solver::Anna(A);
}
#include "Bruno.h"
#include <utility>
#include <vector>
#include <bits/stdc++.h>
using namespace std;
namespace Bruno_solver{
const int M=144, BIT=60;
const int MX=21;
int n;
long long dp[M+10], dp2[M+10];
void gen(){
dp[0]=1;
for (int i=0; i<=M; ++i){
for (int k=3; k<=MX; k+=2) if (i+k<=M) dp[i+k]+=dp[i];
}
dp2[0]=1;
for (int i=0; i<=M; ++i){
if (!i){
for (int k=2; k<=MX; k+=2) if (i+k<=M) dp2[i+k]+=dp2[i];
}else{
for (int k=3; k<=MX; k+=2) if (i+k<=M) dp2[i+k]+=dp2[i];
}
}
}
long long Bruno(vector<int> v){
long long l1=51e16, l2=68e16;
if (!dp[0]) gen();
n=v.size();
int len=n/2;
long long ans=-1;
map<array<int, 4>, pair<long long, int>> mp;
priority_queue<array<int, 4>, vector<array<int, 4>>, greater<array<int, 4>>> q;
q.push({0, 0, 0, 0});
mp[{0, 0, 0, 0}]={0, 0};
q.push({0, 0, 1, 0});
mp[{0, 0, 1, 0}]={l1/2, 0};
while (q.size()){
auto ff=mp[q.top()];
int i=q.top()[0], j=q.top()[1], k=q.top()[2], l=q.top()[3]; q.pop();
auto transition=[&](array<int, 4> id, pair<long long, int> val){
if (mp.count(id)) assert(mp[id]==val);
else q.push(id);
mp[id]=val;
};
if (i<n && j<=n/2 && k<2 && l<MX){
if (v[i]==(j&1) && j<n/2){
transition({i+1, j+1, k, l}, ff);
}
if (v[i]==k && l+1<=MX){
if (l+1<MX){
transition({i+1, j, k, l+1}, ff);
}
if ((l+1)&1 && l>=2){
auto g=ff;
g.second+=l+1;
for (int k=3; k<l+1; k+=2) g.first+=dp[len-ff.second-k];
transition({i+1, j, k^1, 0}, g);
}
}
}
}
if (mp.count({n, n/2, 0, 0})){
ans=mp[{n, n/2, 0, 0}].first;
for (int i=0; i<len; ++i) ans+=dp[i];
}
if (mp.count({n, n/2, 1, 0})){
ans=mp[{n, n/2, 1, 0}].first;
for (int i=0; i<len; ++i) ans+=dp[i];
}
mp.clear();
q.push({0, 0, 0, 0});
mp[{0, 0, 0, 0}]={l1, 0};
q.push({0, 0, 1, 0});
mp[{0, 0, 1, 0}]={l1+l2/2, 0};
while (q.size()){
auto ff=mp[q.top()];
int i=q.top()[0], j=q.top()[1], k=q.top()[2], l=q.top()[3]; q.pop();
auto transition=[&](array<int, 4> id, pair<long long, int> val){
if (mp.count(id)) assert(mp[id]==val);
else q.push(id);
mp[id]=val;
};
if (i<n && j<=n/2 && k<2 && l<MX){
if (v[i]==(j&1) && j<n/2){
transition({i+1, j+1, k, l}, ff);
}
if (v[i]==k && l+1<=MX){
if (l+1<MX){
transition({i+1, j, k, l+1}, ff);
}
if (i==l+j){
if (l&1){
auto g=ff;
g.second+=l+1;
for (int k=2; k<l+1; k+=2) g.first+=dp[len-ff.second-k];
transition({i+1, j, k^1, 0}, g);
}
}else if ((l+1)&1 && l>=2){
auto g=ff;
g.second+=l+1;
for (int k=3; k<l+1; k+=2) g.first+=dp[len-ff.second-k];
transition({i+1, j, k^1, 0}, g);
}
}
}
}
if (mp.count({n, n/2, 0, 0})){
ans=mp[{n, n/2, 0, 0}].first;
for (int i=0; i<len; ++i) ans+=dp2[i];
}
if (mp.count({n, n/2, 1, 0})){
ans=mp[{n, n/2, 1, 0}].first;
for (int i=0; i<len; ++i) ans+=dp2[i];
}
return ans;
}
}
long long Bruno(std::vector<int> u) {
return Bruno_solver::Bruno(u);
}
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