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74 changes: 74 additions & 0 deletions Sliding Puzzle.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,74 @@
class Solution {
public:
int dx[4]={0,0,1,-1};
int dy[4]={1,-1,0,0};
bool chk(vector<vector<int>>& board)
{
int k=1;
for(int i=0;i<board.size();++i)
{
for(int j=0;j<board[0].size();++j)
{
if(board[i][j]!=k)
{
return false;
}
k++;
if(k==6)
{
return true;
}
}
}
return true;
}
int slidingPuzzle(vector<vector<int>>& board) {
queue<pair<pair<int,int>,vector<vector<int>>>> q;
for(int i=0;i<board.size();++i)
{
for(int j=0;j<board[0].size();++j)
{
if(board[i][j]==0)
{
q.push({{i,j},board});
break;
}
}
}
int steps=0;
set<vector<vector<int>>> st;
st.insert(board);
while(!q.empty())
{
int sz=q.size();
while(sz--)
{
auto temp=q.front();
q.pop();
int x=temp.first.first;
int y=temp.first.second;
if(chk(temp.second))
{
return steps;
}
for(int i=0;i<4;++i)
{
int nx=x+dx[i];
int ny=y+dy[i];
if(nx>=0 && ny>=0 && nx<board.size() && ny<board[0].size())
{
swap(temp.second[x][y],temp.second[nx][ny]);
if(st.find(temp.second)==st.end())
{
q.push({{nx,ny},temp.second});
st.insert(temp.second);
}
swap(temp.second[x][y],temp.second[nx][ny]);
}
}
}
steps++;
}
return -1;
}
};