This one took me a looong time to figure out the solution, i used dynamic programming approach to modify the bfs traversal.
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#include <iostream> #include <cstdio> #include <cstdlib> #include <vector> #include <cstring> #include <fstream> #include <string> #include <map> #include <queue> #define INF 100000000 //#define ll long long #define PASS 2 #define NEED 1 #define NONEED 0 #define HORIZON 1 #define VERTICAL 2 using namespace std; struct PP{ int x,y; int rank,Rrank; int MINIMUM,rMINIMUM; }; vector<int> noOfwaysWithTurnsXenter[4500]; vector<int> noOfwaysWithTurnsYenter[4500]; vector<int> RnoOfwaysWithTurnsXenter[4500]; vector<int> RnoOfwaysWithTurnsYenter[4500]; int resTurns,resPathCount; bool visited[4500]; int indexMap[50][90]; PP MapIndex[4500]; string str[50]; int dx[4]={0,0,1,-1}; int dy[4]={1,-1,0,0}; int stx=-1,sty=-1,edx=-1,edy=-1; bool visit[50][90]; int PathLength; int height=0; int src,dst; int nodeCount; //bool NewLine=0; //ofstream out; void init() { int k=0; resTurns=-1; resPathCount=-1; PathLength=-1; for(int i=0;i<50;i++) { for(int j=0;j<90;j++) { visit[i][j]=0; indexMap[i][j]=-1; MapIndex[k].rank=-1; MapIndex[k].Rrank=-1; MapIndex[k].MINIMUM=INF; MapIndex[k].rMINIMUM=INF; MapIndex[k].x=-1; MapIndex[k].y=-1; while(noOfwaysWithTurnsXenter[k].size()!=0) noOfwaysWithTurnsXenter[k].pop_back(); while(noOfwaysWithTurnsYenter[k].size()!=0) noOfwaysWithTurnsYenter[k].pop_back(); while(RnoOfwaysWithTurnsXenter[k].size()!=0) RnoOfwaysWithTurnsXenter[k].pop_back(); while(RnoOfwaysWithTurnsYenter[k].size()!=0) RnoOfwaysWithTurnsYenter[k].pop_back(); k+=1; } } } void print() { for(int i=0;i<=height;i++) cout<<str[i]<<"\n"; } bool visitCount() { bool ret=0; int MX; queue<int> parentNodes; while(!parentNodes.empty()) parentNodes.pop(); int m,x,y,tx,ty,trnk; int n; int counter=0; int i; for(int jj=0;jj<4500;jj++) visited[jj]=0; indexMap[stx][sty]=counter; MapIndex[counter].x = stx; MapIndex[counter].y = sty; MapIndex[counter].rank = 0; visit[stx][sty]=1; visited[0]=1; noOfwaysWithTurnsXenter[counter].push_back(0); noOfwaysWithTurnsYenter[counter].push_back(0); for(int j=0;j<4;j++) { tx = stx+dx[j]; ty = sty+dy[j]; if(tx>=0 && ty>=0 && tx<height && ty<str[tx].size() && str[tx][ty]!='X' && visit[tx][ty]==0) { counter+=1; visit[tx][ty]=1; indexMap[tx][ty]=counter; MapIndex[counter].x = tx; MapIndex[counter].y = ty; MapIndex[counter].rank = 1; visited[indexMap[tx][ty]]=1; parentNodes.push(indexMap[tx][ty]); if(dx[j]==0) { noOfwaysWithTurnsYenter[indexMap[tx][ty]].push_back(1); noOfwaysWithTurnsXenter[indexMap[tx][ty]].push_back(0); MapIndex[indexMap[tx][ty]].MINIMUM=0; } else if(dy[j]==0) { noOfwaysWithTurnsXenter[indexMap[tx][ty]].push_back(1); noOfwaysWithTurnsYenter[indexMap[tx][ty]].push_back(0); MapIndex[indexMap[tx][ty]].MINIMUM=0; } } } while(!parentNodes.empty()) { i = parentNodes.front(); parentNodes.pop(); x = MapIndex[i].x; y = MapIndex[i].y; if(x==edx && y==edy) { ret = 1; break; } //find adjacexnt higher ranks and visit count //if it accessed from x axis modify all parents path count of yaxis of parents each time increasing one turn for(int j=0;j<4;j++) { tx = x+dx[j]; ty = y+dy[j]; if(tx>=0 && ty>=0 && tx<height && ty<str[tx].size() && str[tx][ty]!='X') { if(visit[tx][ty]==0) { counter+=1; visit[tx][ty]=1; indexMap[tx][ty]=counter; MapIndex[counter].x=tx; MapIndex[counter].y=ty; MapIndex[counter].rank=MapIndex[i].rank+1; for(int ii=0;ii<(MapIndex[counter].rank+5);ii++) { noOfwaysWithTurnsXenter[counter].push_back(0); noOfwaysWithTurnsYenter[counter].push_back(0); } visited[indexMap[tx][ty]]=1; parentNodes.push(indexMap[tx][ty]); } if(dx[j]==0 && MapIndex[i].rank+1==MapIndex[indexMap[tx][ty]].rank) { for(int jj=0;jj<noOfwaysWithTurnsYenter[i].size();jj++)//=MapIndex[i].rank { noOfwaysWithTurnsYenter[indexMap[tx][ty]][jj]=noOfwaysWithTurnsYenter[i][jj]+noOfwaysWithTurnsYenter[indexMap[tx][ty]][jj]; noOfwaysWithTurnsYenter[indexMap[tx][ty]][jj+1]=noOfwaysWithTurnsXenter[i][jj]+noOfwaysWithTurnsYenter[indexMap[tx][ty]][jj+1]; } } else if(dy[j]==0 && MapIndex[i].rank+1==MapIndex[indexMap[tx][ty]].rank) { for(int jj=0;jj<noOfwaysWithTurnsXenter[i].size();jj++)//=MapIndex[i].rank { noOfwaysWithTurnsXenter[indexMap[tx][ty]][jj]=noOfwaysWithTurnsXenter[i][jj]+noOfwaysWithTurnsXenter[indexMap[tx][ty]][jj]; noOfwaysWithTurnsXenter[indexMap[tx][ty]][jj+1]=noOfwaysWithTurnsYenter[i][jj]+noOfwaysWithTurnsXenter[indexMap[tx][ty]][jj+1]; } } } }//for ends } nodeCount = counter+1; return ret; } void visitCount2() { int x,y,tx,ty,trnk; int MX; queue<int> parentNodes; while(!parentNodes.empty()) parentNodes.pop(); int parent=indexMap[edx][edy]; MapIndex[parent].Rrank=0; int i; int rnk = MapIndex[parent].Rrank;//PathLength-1; for(int jj=0;jj<4500;jj++) visited[jj]=0; visited[indexMap[edx][edy]]=1; for(int j=0;j<4;j++) { tx = edx+dx[j]; ty = edy+dy[j]; if(tx>=0 && ty>=0 && tx<height && ty<str[tx].size() && str[tx][ty]!='X' && indexMap[tx][ty]!=-1)//&& MapIndex[indexMap[tx][ty]].rank==MapIndex[parent].rank-1 { MapIndex[indexMap[tx][ty]].Rrank=1; visited[indexMap[tx][ty]]=1; parentNodes.push(indexMap[tx][ty]); if(dx[j]==0) { RnoOfwaysWithTurnsYenter[indexMap[tx][ty]].push_back(1); RnoOfwaysWithTurnsXenter[indexMap[tx][ty]].push_back(0); MapIndex[indexMap[tx][ty]].rMINIMUM=0; } else if(dy[j]==0) { RnoOfwaysWithTurnsXenter[indexMap[tx][ty]].push_back(1); RnoOfwaysWithTurnsYenter[indexMap[tx][ty]].push_back(0); MapIndex[indexMap[tx][ty]].rMINIMUM=0;//vertical move x changes } } } while(!parentNodes.empty()) { i = parentNodes.front(); parentNodes.pop(); x = MapIndex[i].x; y = MapIndex[i].y; rnk = MapIndex[i].Rrank; if(x==stx && y==sty) break; for(int j=0;j<4;j++) { tx = x+dx[j]; ty = y+dy[j]; if(tx>=0 && ty>=0 && tx<height && ty<str[tx].size() && str[tx][ty]!='X' && indexMap[tx][ty]!=-1) { if(visited[indexMap[tx][ty]]==0) { visited[indexMap[tx][ty]]=1; parentNodes.push(indexMap[tx][ty]); MapIndex[indexMap[tx][ty]].Rrank=rnk+1; for(int ii=0;ii<(MapIndex[indexMap[tx][ty]].Rrank+5);ii++) { RnoOfwaysWithTurnsXenter[indexMap[tx][ty]].push_back(0); RnoOfwaysWithTurnsYenter[indexMap[tx][ty]].push_back(0); } } if(dx[j]==0 && MapIndex[i].Rrank+1==MapIndex[indexMap[tx][ty]].Rrank) { for(int jj=0;jj<RnoOfwaysWithTurnsXenter[i].size();jj++)//=MapIndex[i].Rrank { RnoOfwaysWithTurnsYenter[indexMap[tx][ty]][jj+1]+=RnoOfwaysWithTurnsXenter[i][jj]; RnoOfwaysWithTurnsYenter[indexMap[tx][ty]][jj]+=RnoOfwaysWithTurnsYenter[i][jj]; } } else if(dy[j]==0 && MapIndex[i].Rrank+1==MapIndex[indexMap[tx][ty]].Rrank) { for(int jj=0;jj<RnoOfwaysWithTurnsYenter[i].size();jj++)//=MapIndex[i].Rrank { RnoOfwaysWithTurnsXenter[indexMap[tx][ty]][jj+1]+=RnoOfwaysWithTurnsYenter[i][jj]; RnoOfwaysWithTurnsXenter[indexMap[tx][ty]][jj]+=RnoOfwaysWithTurnsXenter[i][jj]; } } } }//for ends } } void minfinder() { for(int i=0;i<nodeCount;i++) { for(int j=0;j<RnoOfwaysWithTurnsXenter[i].size();j++) { if(RnoOfwaysWithTurnsXenter[i][j]+RnoOfwaysWithTurnsYenter[i][j]>0) { MapIndex[i].rMINIMUM=j; break; } } for(int j=0;j<noOfwaysWithTurnsXenter[i].size();j++) { if(noOfwaysWithTurnsXenter[i][j]+noOfwaysWithTurnsYenter[i][j]>0) { MapIndex[i].MINIMUM=j; break; } } } } void func() { minfinder(); int pass,x,y; int temp_rank; PathLength=0; resTurns=0; resPathCount=0; int index = indexMap[edx][edy]; PathLength = MapIndex[index].rank; resTurns = MapIndex[index].MINIMUM; if(resTurns!=INF) { resPathCount=noOfwaysWithTurnsXenter[index][resTurns]+noOfwaysWithTurnsYenter[index][resTurns]; cout<<resPathCount<<" paths, "<<PathLength+1<<" points, "<<resTurns<<" turns\n"; } for(int i=1;i<indexMap[edx][edy];i++) { int cary=0; //check for is there a new turn at the point i or not. //cross zero-cross non-zero case if(MapIndex[i].MINIMUM==INF || MapIndex[i].rMINIMUM==INF) continue; if(noOfwaysWithTurnsXenter[i][MapIndex[i].MINIMUM]==0 && RnoOfwaysWithTurnsYenter[i][MapIndex[i].rMINIMUM]==0) { if(noOfwaysWithTurnsYenter[i][MapIndex[i].MINIMUM]!=0 && RnoOfwaysWithTurnsXenter[i][MapIndex[i].rMINIMUM]!=0) { cary=1; } } else if(noOfwaysWithTurnsYenter[i][MapIndex[i].MINIMUM]==0 && RnoOfwaysWithTurnsXenter[i][MapIndex[i].rMINIMUM]==0) { if(noOfwaysWithTurnsXenter[i][MapIndex[i].MINIMUM]!=0 && RnoOfwaysWithTurnsYenter[i][MapIndex[i].rMINIMUM]!=0) { cary=1; } } if(MapIndex[i].rank+MapIndex[i].Rrank==PathLength && MapIndex[i].MINIMUM+MapIndex[i].rMINIMUM+cary==resTurns) str[MapIndex[i].x][MapIndex[i].y]='#'; } print(); } int main() { int x,y,px,py,s,t; int cnt = 0; int k=0; bool ret; height=0; //out.open("out_my.txt"); init(); while(getline(cin,str[height])) { if(str[height][0]=='_') { ret=visitCount(); if(ret==0) { cout<<"0 paths, 0 points, 0 turns\n"; print(); } else { visitCount2(); func(); } height=0; cnt = 0; stx=-1;sty=-1;edx=-1;edy=-1; init(); continue; } for(int i=0;i<str[height].size();i++) { if(str[height][i]=='@') { if(stx==-1) { stx = height; sty = i; } else { edx = height; edy = i; } } } height+=1; } //out.close(); return 0; } |