#include <vector>
#include <string>
#include <map>
#include <iostream>
#include <math.h>
#include <fstream>

struct Room{
    std::vector<std::string>connections;
    std::map<std::string,int>paths;
    int flowValue=0;
    std::string name="";
    friend std::ostream&operator<<(std::ostream&out,Room&rhs){
        out<<"Valve "<<rhs.name<<": Flow Rate - "<<rhs.flowValue<<" (Connects to: ";
        for (int i=0;i<rhs.connections.size();i++){
            std::string conn=rhs.connections[i];
            if (i!=0){
                out<<",";
            }
            out<<conn;
        }
        out<<")";
        return out;
    }
};

std::map<std::string,Room>rooms;
std::vector<std::string>targetRooms;
int maxFlow=0;
int iterations=0;
int branchesRemaining=0;

void printArr(){
    int minutesRemaining1=26;
    int minutesRemaining2=26;
    std::string currentPos="AA";
    std::string path1="AA";
    std::string currentPos2="AA";
    std::string path2="AA";
    std::vector<std::string> movePlan1;
    std::vector<std::string> movePlan2;
    int moveAmt1=0; //How many steps left to move.
    int moveAmt2=0; //How many steps left to move.
    int currentMarker1=0;
    int currentMarker2=0;
    int flowRate=0;
    int flowTotal=0;

    for (int i=0;i<targetRooms.size();i++){
        std::string valve=targetRooms[i];
        if (i&1){
            movePlan2.push_back(valve);
        } else {
            movePlan1.push_back(valve);
        }
        //std::cout<<a[i]<<" ";
    }
    moveAmt1=rooms[currentPos].paths[movePlan1[currentMarker1]];
    moveAmt2=rooms[currentPos2].paths[movePlan2[currentMarker2]];
    std::cout<<"Current Position 1:"<<currentPos<<std::endl;
    std::cout<<"Current Position 2:"<<currentPos2<<std::endl;
    std::cout<<" Flow Total:"<<flowTotal<<std::endl;
    for (int i=0;i<26;i++){
        std::cout<<"Minute "<<i+1<<std::endl;
        flowTotal+=flowRate;
        std::cout<<" Flow: "<<flowTotal<<std::endl;
        std::cout<<" Flow Rate: "<<flowRate<<std::endl;
        if (moveAmt1>0){
            std::cout<<" Moving to "<<movePlan1[currentMarker1]<<" in "<<moveAmt1<<" steps"<<std::endl;
        } else {
            if (moveAmt1==0){
                //We open the valve. Then move to the next one.
                currentPos=movePlan1[currentMarker1];
                path1+="->"+currentPos;
                std::cout<<" Path1: "<<path1<<std::endl;
                flowRate+=rooms[movePlan1[currentMarker1++]].flowValue;
                //flowTotal+=rooms[movePlan1[currentMarker1++]].flowValue;
                std::cout<<" Flow rate is now "<<flowRate<<std::endl;
                if (currentMarker1<movePlan1.size()){
                    moveAmt1=rooms[currentPos].paths[movePlan1[currentMarker1]]+1;
                    std::cout<<"  Reached destination. Next: "<<movePlan1[currentMarker1]<<" in "<<moveAmt1<<" steps"<<std::endl;
                }
            }
        }
        if (moveAmt2>0){
            std::cout<<" Moving to "<<movePlan2[currentMarker2]<<" in "<<moveAmt2<<" steps"<<std::endl;
        } else {
            if (moveAmt2==0){
                //We open the valve. Then move to the next one.
                currentPos2=movePlan2[currentMarker2];
                path2+="->"+currentPos2;
                std::cout<<" Path2: "<<path2<<std::endl;
                flowRate+=rooms[movePlan2[currentMarker2++]].flowValue;
                //flowTotal+=rooms[movePlan2[currentMarker2++]].flowValue;
                std::cout<<" Flow rate is now "<<flowRate<<std::endl;
                if (currentMarker2<movePlan2.size()){
                    moveAmt2=rooms[currentPos2].paths[movePlan2[currentMarker2]]+1;
                    std::cout<<"  Reached destination. Next: "<<movePlan2[currentMarker2]<<" in "<<moveAmt2<<" steps"<<std::endl;
                }
            }
        }
        moveAmt1--;
        moveAmt2--;
    }
    std::cout<<"Final Flow Total: "<<flowTotal<<std::endl;
    if (flowTotal>maxFlow){
        maxFlow=flowTotal;
        std::cout<<"New max flow is "<<maxFlow<<std::endl;
    }
}

void printArr2(std::vector<std::string> arr){
    for (int i=0;i<arr.size();i++){
        if (i!=0){
            std::cout<<" ";
        }
        std::cout<<arr[i];
    }
    std::cout<<std::endl;
}


void permutation(std::vector<std::string>&arr,int size){
    if (size==1){
        printArr();
        return;
    }
    for (int i=0;i<size;i++){
        permutation(arr,size-1);
        if (i<size-1){
            if (size%2==1){
                std::swap(arr[0],arr[size-1]);
            } else {
                std::swap(arr[i],arr[size-1]);
            }
        }
    }
}

int findRoute(std::string start,std::string end,std::map<std::string,bool>visited,int dist){
    visited[start]=true;
    int distance=INFINITY;
    Room r=rooms[start];
    for (int i=0;i<r.connections.size();i++){
        if (r.connections[i]==end){
            return dist+1;
        }
    }
    for (int i=0;i<r.connections.size();i++){
        if (visited.find(r.connections[i])==visited.end()){
            int result=findRoute(r.connections[i],end,visited,dist+1);
            if (result<distance){
                distance=result;
            }
        }
    }
    return distance;
}

void explore(std::string currentRoom,std::map<std::string,bool>visitedvalves,int flowRate,int minute,int flowTotal,std::string journey,std::string flowTotals){

    //std::cout<<"Exploring "<<currentRoom<<" Time Passed: "<<minute<<". Flow Rate: "<<flowRate<<", Flow Total: "<<flowTotal<<" Journey: "<<journey<<" Totals:"<<flowTotals<<std::endl;
    visitedvalves[currentRoom]=true;

    int previousFlowTotal=flowTotal;
    std::string prevFlowTotal=flowTotals;
    for (int i=minute;i<30;i++){
        flowTotal+=flowRate;
        flowTotals+="->"+std::to_string(flowTotal);
    }
    if (flowTotal>maxFlow){
        maxFlow=flowTotal;
        std::cout<<"New max found: "<<maxFlow<<std::endl;
    }
    //std::cout<<" Maxed Out: "<<currentRoom<<" Time Passed: "<<minute<<". Flow Rate: "<<flowRate<<", Flow Total: "<<flowTotal<<" Journey: "<<journey<<" Totals:"<<flowTotals<<std::endl;

    flowTotals=prevFlowTotal;
    flowTotal=previousFlowTotal;

    for (std::map<std::string,Room>::iterator it=rooms.begin();it!=rooms.end();++it){
        if (visitedvalves.find(it->first)==visitedvalves.end()&&rooms[it->first].flowValue>0){
            //We haven't tried going here yet.
            if (minute+rooms[currentRoom].paths[it->first]<30){
                for (int i=0;i<rooms[currentRoom].paths[it->first];i++){
                    flowTotal+=flowRate;
                    flowTotals+="->"+std::to_string(flowTotal);
                }
                explore(it->first,visitedvalves,flowRate,minute+rooms[currentRoom].paths[it->first],flowTotal,journey+"->"+it->first,flowTotals);
                flowTotal+=flowRate;
                flowTotals+="->"+std::to_string(flowTotal);
                explore(it->first,visitedvalves,flowRate+rooms[it->first].flowValue,minute+rooms[currentRoom].paths[it->first]+1,flowTotal,journey+"->"+it->first,flowTotals);
                flowTotal=previousFlowTotal;
                flowTotals=prevFlowTotal;
            }
        }
    }
}

int main()
{
	std::ifstream file("input");
    while (file.good()){
        std::string line;
        std::getline(file,line);
        std::cout<<line<<std::endl;
        if (line.length()>0){
            int flowRate=std::atoi(line.substr(line.find('=')+1,line.find(';')-line.find('=')-1).c_str());
            std::cout<<"Flow Rate: "<<flowRate<<std::endl;
            std::string valveName=line.substr(line.find(' ')+1,2);
            std::cout<<"Valve "<<valveName<<std::endl;
            int marker=line.find(',');
            Room newRoom;
            newRoom.name=valveName;
            newRoom.flowValue=flowRate;
            if (flowRate>0){
                targetRooms.push_back(valveName);
            }
            while (marker!=std::string::npos){
                std::string roomName=line.substr(marker-2,2);
                std::cout<<"Connection w/"<<roomName<<" found"<<std::endl;
                marker=line.find(',',marker+1);
                newRoom.connections.push_back(roomName);
            }
            std::string roomName=line.substr(line.size()-2,2);
            std::cout<<"Connection w/"<<roomName<<" found"<<std::endl;
            newRoom.connections.push_back(roomName);
            rooms[valveName]=newRoom;
            std::cout<<rooms[valveName]<<std::endl;
        }
    }
    std::cout<<"Preparing distance cache..."<<std::endl;
    for (std::map<std::string,Room>::iterator it=rooms.begin();it!=rooms.end();++it){
        for (std::map<std::string,Room>::iterator it2=rooms.begin();it2!=rooms.end();++it2){
            if (it->first==it2->first){
                rooms[it->first].paths[it2->first]=0;
                //std::cout<<it->first<<"->"<<it2->first<<": 0"<<std::endl;
            } else {
                rooms[it->first].paths[it2->first]=findRoute(it->first,it2->first,{},0);
                //std::cout<<it->first<<"->"<<it2->first<<": "<<rooms[it->first].paths[it2->first]<<std::endl;
            }
        }
    }
     
    permutation(targetRooms,targetRooms.size());

    

	return 0;
}