Bhartiya Vidyapeeth Workshop Codes
Codes from Workshop held at BVP on Graphs, Breadth First Search, Depth First Search and Snakes and Ladder Game
Solving Snakes and Ladders using Breadth First Search - Shortest Path Algorithm
C++ Program to Solve Snakes and Ladders Game
#include<iostream>
#include<list>
#include<queue>
using namespace std;
class Graph{
int V;
list<int> *l;
public:
Graph(int v){
V = v;
l = new list<int>[V];
}
void addEdge(int u,int v,bool bidir=true){
l[u].push_back(v);
if(bidir){
l[v].push_back(u);
}
}
void printAdjList(){
for(int i=0;i<V;i++){
cout<<i<<"->";
for(int node:l[i]){
cout<<node<<",";
}
cout<<endl;
}
}
void bfs(int src){
queue<int> q;
int *dist = new int[V];
for(int i=0;i<V;i++){
dist[i] = INT_MAX;
}
///Algorithm
dist[src] = 0;
q.push(src);
while(!q.empty()){
int node = q.front();
cout<<node<<" ";
q.pop();
for(int child : l[node]){
if(dist[child]==INT_MAX){
dist[child] = dist[node] + 1;
q.push(child);
}
}
}
///Print Src to All Node Distances
for(int i=0;i<V;i++){
cout<<"Dist of "<<i<<" is "<<dist[i]<<endl;
}
}
void bfsPath(int src,int dest){
queue<int> q;
int *dist = new int[V];
int *parent = new int[V];
for(int i=0;i<V;i++){
dist[i] = INT_MAX;
parent[i] = -1;
}
///Algorithm
dist[src] = 0;
q.push(src);
while(!q.empty()){
int node = q.front();
//cout<<node<<" ";
q.pop();
for(int child : l[node]){
if(dist[child]==INT_MAX){
dist[child] = dist[node] + 1;
parent[child] = node;
q.push(child);
}
}
}
///Print Src to All Node Distances
int currentNode = dest;
while(currentNode!=-1){
cout<<currentNode<<"<--";
currentNode = parent[currentNode];
}
}
};
int main(){
Graph g(7);
g.addEdge(1,0);
g.addEdge(1,2);
g.addEdge(3,2);
g.addEdge(3,6);
g.addEdge(6,0);
g.addEdge(3,5);
g.addEdge(4,5);
g.addEdge(2,4);
//g.printAdjList();
//g.bfs(1);
//g.bfsPath(1,5);
cout<<endl;
//g.bfsPath(5,1);
int board[50] = {0};
board[2]= 13;
board[5] = 2;
board[9] = 18;
board[18] = 11;
board[17] = -13;
board[20] = -14;
board[24] = -8;
board[25] = 10;
board[32] = -2;
board[34] = -22;
Graph game(37);
for(int u=0;u<36;u++){
for(int dice=1;dice<=6;dice++){
int v = u + dice + board[u+dice];
if(v<=36){
game.addEdge(u,v,false);
}
}
}
game.bfsPath(0,36);
return 0;
}
The Snakes and Ladder Game
Depth First Search - Shortest Path Algorithm Code
#include<iostream>
#include<list>
#include<queue>
using namespace std;
class Graph{
int V;
list<int> *l;
public:
Graph(int v){
V = v;
l = new list<int>[V];
}
void addEdge(int u,int v,bool bidir=true){
l[u].push_back(v);
if(bidir){
l[v].push_back(u);
}
}
void printAdjList(){
for(int i=0;i<V;i++){
cout<<i<<"->";
for(int node:l[i]){
cout<<node<<",";
}
cout<<endl;
}
}
void dfsHelper(int node,bool *visited){
cout<<node<<" ";
visited[node] = true;
for(int child:l[node]){
if(!visited[child]){
dfsHelper(child,visited);
}
}
}
void dfs(){
bool *visited = new bool[V]{0};
for(int i=0;i<V;i++){
if(!visited[i]){
dfsHelper(i,visited);
cout<<endl;
}
}
}
};
int main(){
Graph g(8);
g.addEdge(0,1);
g.addEdge(6,7);
g.addEdge(2,1);
g.addEdge(5,1);
g.addEdge(2,3);
g.addEdge(2,4);
g.addEdge(4,5);
g.dfs();
return 0;
}