#include<iostream>
#include<vector>
#include<queue>
#include<string>
using namespace std;
class edge{
public:
int nb;
int wt;
edge(int nb,int wt)
{
this->nb = nb;
this->wt = wt;
}
};
vector<vector<edge>> graph;
void addedge(int v1,int v2,int w)
{
edge e(v2,w);
edge f(v1,w);
graph[v1].push_back(e);
graph[v2].push_back(f);
}
void addDedge(int v1,int v2,int w){
edge e(v2,w);
graph[v1].push_back(e);
}
void display()
{
for(int i=0;i<graph.size();i++)
{
cout<<i<<" -> ";
for(int j = 0;j<graph[i].size();j++)
{
cout<<" [" << graph[i][j].nb << "-" <<graph[i][j].wt <<"] ";
}
cout<<endl;
}
}
bool gcc(vector<bool>&visited,int s)
{
queue<int> q;
q.push(s);
while(q.size()>0)
{
int rem = q.front();
q.pop();
if(visited[rem]==true)
{
return true;
}
visited[rem] = true;
for(int i=0;i<graph[rem].size();i++)
{
if(visited[graph[rem][i].nb]==false)
{
q.push(graph[rem][i].nb);
}
}
}
return false;
}
bool gccc()
{
vector<bool>visited(graph.size(),false);
for(int i=0;i<graph.size();i++)
{
if(visited[i]==false)
{
bool ans = gcc(visited,i);
if(ans == true)
{
return true;
}
}
}
return false;
}
class edg{
public:
int x;
int lvl;
};
bool checkbip(vector<int>&visited,int s)
{
queue<edg> q;
edg start;
start.x = s;
start.lvl = 1;
int lvl = 1;
q.push(start);
while(q.size()>0)
{
edg rem = q.front();
q.pop();
if(visited[rem.x]!=0)
{
if(rem.lvl%2!=visited[rem.x]%2)
{
return false;
}
}
visited[rem.x] = rem.lvl;
for(int i=0;i<graph[rem.x].size();i++)
{
if(visited[graph[rem.x][i].nb]==0)
{
edg nbr;
nbr.x = graph[rem.x][i].nb;
nbr.lvl = rem.lvl + 1;
q.push(nbr);
}
}
}
return true;
}
bool isBipardite()
{
vector<int> visited(graph.size(),0);
for(int i=0;i<graph.size();i++)
{
if(visited[i]==0)
{
bool res = checkbip(visited,i);
if(res == false)
{
return false;
}
}
}
return true;
}
class element{
public:
int x;
int sum;
string ans;
element(int x,int sum,string ans)
{
this->x = x;
this->sum = sum;
this->ans = ans;
}
bool operator>(const element& e) const{
return this->sum > e.sum;
}
};
void dkt(int s)
{
priority_queue<element,vector<element>,greater<element>> q;
vector<bool> visited(graph.size(),false);
element start(s,0,to_string(s));
q.push(start);
while(q.size()>0)
{
element rem = q.top();
q.pop();
if(visited[rem.x]==true)
{
continue;
}
cout<<"Pos : "<< rem.x << " cost " << rem.sum << " Path :"<<rem.ans<<endl;
visited[rem.x] = true;
for(int i=0;i<graph[rem.x].size();i++)
{
if(visited[graph[rem.x][i].nb]==false)
{
element nn(graph[rem.x][i].nb ,
rem.sum + graph[rem.x][i].wt,
rem.ans + to_string(graph[rem.x][i].nb));
q.push(nn);
}
}
}
}
class pos{
public:
int x;
int step;
int total;
string asf;
pos(int x,int step,int total,string asf)
{
this->x = x;
this->step = step;
this->total = total;
this->asf = asf;
}
bool operator>(const pos& other) const{
return this->step > other.step;
}
};
void sl()
{
priority_queue<pos,vector<pos>,greater<pos>> q;
pos start(0,0,0,"0");
q.push(start);
vector<bool>visited(graph.size(),false);
while(q.size()>0)
{
pos rem = q.top();
q.pop();
if(rem.x == 29)
{
cout<< "pos : "<<rem.x<<" steps : "<<rem.step<<" total "<<rem.total<<" ansf : "<<rem.asf<<endl;
break;
}
if(visited[rem.x]==true)
{
continue;
}
visited[rem.x]=true;
for(int i=0;i<graph[rem.x].size();i++)
{
if(visited[graph[rem.x][i].nb]==false)
{
if(graph[rem.x][i].wt==0)
{
pos newpos(graph[rem.x][i].nb,rem.step,rem.total+graph[rem.x][i].wt,rem.asf+" , "+to_string(graph[rem.x][i].nb));
q.push(newpos);
}
else
{
pos newpos(graph[rem.x][i].nb,rem.step +1 ,rem.total+graph[rem.x][i].wt,rem.asf+" , "+to_string(graph[rem.x][i].nb));
q.push(newpos);
}
}
}
}
}
int main(int argc,char**argv)
{
// graph.push_back(vector<edge>());
// graph.push_back(vector<edge>());
// graph.push_back(vector<edge>());
// graph.push_back(vector<edge>());
// graph.push_back(vector<edge>());
// graph.push_back(vector<edge>());
// graph.push_back(vector<edge>());
// addedge(0,1,10);
// addedge(0,3,40);
// addedge(1,2,10);
// addedge(2,3,10);
// addedge(3,4,2);
// addedge(2,5,2);
// addedge(4,5,3);
// addedge(4,6,8);
// addedge(5,6,3);
for(int i=0;i<30;i++)
{
graph.push_back(vector<edge>());
}
for(int i=0;i<30;i++)
{
for(int j=1;j<=6;j++)
{
if(i+j<=29)
{
addDedge(i,i+j,j);
}
}
}
addDedge(2,21,0);
addDedge(4,7,0);
addDedge(10,25,0);
addDedge(19,28,0);
addDedge(26,0,0);
addDedge(20,8,0);
addDedge(16,3,0);
addDedge(18,6,0);
// display();
// cout<<isBipardite()<<endl;
// dkt(0);
sl();
}
#include<iostream>
#include<vector>
#include<queue>
#include<string>

using namespace std;

class edge{

    public:
        int nb;
        int wt;
        edge(int nb,int wt)
        {
            this->nb = nb;
            this->wt = wt;
        }
};
vector<vector<edge>> graph;
void addedge(int v1,int v2,int w)
{
    edge e(v2,w);
    edge f(v1,w);
    graph[v1].push_back(e);
    graph[v2].push_back(f);
}
void addDedge(int v1,int v2,int w){
    edge e(v2,w);
    graph[v1].push_back(e);
}

void display()
{
    for(int i=0;i<graph.size();i++)
    {
        cout<<i<<" -> ";
        for(int j = 0;j<graph[i].size();j++)
        {
            cout<<" [" << graph[i][j].nb << "-" <<graph[i][j].wt <<"] ";
        }
        cout<<endl;
    }
}


bool gcc(vector<bool>&visited,int s)
{   
        queue<int> q;
        q.push(s);
        while(q.size()>0)
        {
        
        int rem = q.front();
        q.pop();
        if(visited[rem]==true)
        {
            return true;
        }
        visited[rem] = true;
        for(int i=0;i<graph[rem].size();i++)
        {
           if(visited[graph[rem][i].nb]==false)
            {
             q.push(graph[rem][i].nb);
            }
        }
        }

        return false;   
    
}



bool gccc()
{
    vector<bool>visited(graph.size(),false);
    for(int i=0;i<graph.size();i++)
    {
        if(visited[i]==false)
        {
            bool ans = gcc(visited,i);
            if(ans == true)
            {
                return true;
            }
           
        }
    
    }
    return false;
}

class edg{
    public:
    int x;
    int lvl;
};

bool checkbip(vector<int>&visited,int s)
{   
        queue<edg> q;
        edg start;
        start.x = s;
        start.lvl = 1;
        int lvl = 1;
        q.push(start);
        while(q.size()>0)
        {
        
        edg rem = q.front();
        q.pop();
        if(visited[rem.x]!=0)
        {
           if(rem.lvl%2!=visited[rem.x]%2)
           {
               return false;
           }
        }
        visited[rem.x] = rem.lvl;
        for(int i=0;i<graph[rem.x].size();i++)
        {
           if(visited[graph[rem.x][i].nb]==0)
            {
                edg nbr;
                nbr.x = graph[rem.x][i].nb;
                nbr.lvl = rem.lvl + 1;

             q.push(nbr);
            }
        }
        }  
        return true;
}


bool isBipardite()
{
    vector<int> visited(graph.size(),0);
    for(int i=0;i<graph.size();i++)
    {
        if(visited[i]==0)
        {
        bool res = checkbip(visited,i);
        if(res == false)
        {
            return false;
        }
        }
    }
    return true;
    
}

class element{
    public:
    int x;
    int sum;
    string ans;
    element(int x,int sum,string ans)
    {
        this->x = x;
        this->sum = sum;
        this->ans = ans;
    }

    bool operator>(const element& e) const{
        return this->sum > e.sum;
    }


};


void dkt(int s)
{

    priority_queue<element,vector<element>,greater<element>> q;
    vector<bool> visited(graph.size(),false);
    element start(s,0,to_string(s));
    q.push(start);

    while(q.size()>0)
    {
        element rem = q.top();
        q.pop();
        if(visited[rem.x]==true)
        {
            continue;
        }
        cout<<"Pos : "<< rem.x << " cost " << rem.sum << " Path :"<<rem.ans<<endl;  
        visited[rem.x] = true;

        for(int i=0;i<graph[rem.x].size();i++)
        {
            if(visited[graph[rem.x][i].nb]==false)
            {
                element nn(graph[rem.x][i].nb ,
                 rem.sum + graph[rem.x][i].wt, 
                 rem.ans + to_string(graph[rem.x][i].nb));
                 q.push(nn);
            }
        }
    }

    
}

class pos{
    public:
    int x;
    int step;
    int total;
    string asf;

    pos(int x,int step,int total,string asf)
    {
        this->x = x;
        this->step = step;
        this->total = total;
        this->asf = asf;
    }
    bool operator>(const pos& other) const{

        return this->step > other.step;
    }

};

void sl()
{
    priority_queue<pos,vector<pos>,greater<pos>> q;
    pos start(0,0,0,"0");
    q.push(start);
    vector<bool>visited(graph.size(),false);
    while(q.size()>0)
    {
        pos rem = q.top();
        q.pop();
        if(rem.x == 29)
        {
            cout<< "pos : "<<rem.x<<" steps : "<<rem.step<<" total "<<rem.total<<" ansf : "<<rem.asf<<endl;
            break;
        }
        if(visited[rem.x]==true)
        {
            continue;
        }
        visited[rem.x]=true;
        for(int i=0;i<graph[rem.x].size();i++)
        {
            if(visited[graph[rem.x][i].nb]==false)
            {
                if(graph[rem.x][i].wt==0)
                {
                     pos newpos(graph[rem.x][i].nb,rem.step,rem.total+graph[rem.x][i].wt,rem.asf+" , "+to_string(graph[rem.x][i].nb));
                     q.push(newpos);
                }
                else
                {
                    pos newpos(graph[rem.x][i].nb,rem.step +1 ,rem.total+graph[rem.x][i].wt,rem.asf+" , "+to_string(graph[rem.x][i].nb));
                    q.push(newpos);
                }
                
               
                
            }
        }
    }

}

int main(int argc,char**argv)
{
    // graph.push_back(vector<edge>());
    // graph.push_back(vector<edge>());
    // graph.push_back(vector<edge>());
    // graph.push_back(vector<edge>());
    // graph.push_back(vector<edge>());
    // graph.push_back(vector<edge>());
    // graph.push_back(vector<edge>());
  
    // addedge(0,1,10);
    // addedge(0,3,40);
    // addedge(1,2,10);
    // addedge(2,3,10);
    // addedge(3,4,2);
    // addedge(2,5,2);
    // addedge(4,5,3);
    // addedge(4,6,8);
    // addedge(5,6,3);

    for(int i=0;i<30;i++)
    {
        graph.push_back(vector<edge>());
    }
    for(int i=0;i<30;i++)
    {
        for(int j=1;j<=6;j++)
        {
           if(i+j<=29)
           {
           addDedge(i,i+j,j);
           }
        }
    }

    addDedge(2,21,0);
    addDedge(4,7,0);
    addDedge(10,25,0);
    addDedge(19,28,0);

    addDedge(26,0,0);
    addDedge(20,8,0);
    addDedge(16,3,0);
    addDedge(18,6,0);

    // display(); 
    // cout<<isBipardite()<<endl;
    // dkt(0);

    sl();

}