max sub square with all 1s

Author: matthewsamuel95

Math/Max_Sub_Square/MaximumSubSquare.cpp

@@ -0,0 +1,54 @@
+/*
+	Problem: Given a binary matrix, find out the maximum size square sub-matrix with all 1s.
+*/
+
+#include <string>
+#include <iostream>
+#include <vector>
+using namespace std;
+
+int min(int x,int y,int z){
+	return x<((y<z)?y:z)?x:((y<z)?y:z);
+}
+
+
+int maxSquare(vector< vector<int> > &matrix,int row,int col) {
+	vector< vector<int> > temp(row, vector<int>(col, 0));
+	int max = 0;
+	for(int k=0;k<matrix.size();k++)
+	{
+		temp[k][0]=matrix[k][0];
+		if(temp[k][0]>max)
+			max=temp[k][0];
+	}
+	for(int k=0;k<matrix[0].size();k++)
+	{
+		temp[0][k]=matrix[0][k];
+		if(temp[0][k]>max)
+			max=temp[k][0];
+	}
+	for(int r=1;r<matrix.size();r++){
+		for(int c=1;c<matrix[r].size();c++){
+			if(matrix[r][c]==1){
+				temp[r][c]=min(temp[r][c-1],temp[r-1][c-1],temp[r-1][c])+1;
+				if(temp[r][c]>max)
+					max=temp[r][c];
+			}
+		}
+	}
+	return max;
+}
+
+int main(){
+	int row,col;
+	cin>>row>>col;
+	vector< vector<int> > matrix(row, vector<int>(col, 0));
+	//input for the matrix
+	for(int r=0;r<matrix.size();r++){
+		for(int c=0;c<matrix[r].size();c++){
+			cin>>matrix[r][c];
+ 		}
+	}
+	int maxSubSquare=maxSquare(matrix,row,col);
+	cout<<"Max Sub Square: "<<maxSubSquare<<" x "<<maxSubSquare<<endl;
+}