Write an algorithm such that if an element in an MxN matrix is 0, its entire row and column are set to 0.

CareerCup1.7.cpp

#include <iostream>
#include <fstream>

bool ReadFile(int**, int, int);
void Output(int**, int, int);
void SetZero(int**, int, int);
int main()
{
  using namespace std;
	cout<<"Enter the width and height please"<<endl;
	int width,height;
	cin>>width>>height;
	//Construct the matrix
	if(width>0&&height>0)
	{
		int **mat = new int*[height];
	
		for(int i=0;i<width;i++)
		{
			mat[i] = new int[width];
		}
		if(ReadFile(mat, width, height))
		{
			SetZero(mat, width, height);
			Output(mat,width, height);
		}
		//delete
		for(int i=0;i<width;i++)
		{
			delete[] mat[i];
		}
		delete[] mat;
	}
}
//Read Matrix from file
bool ReadFile(int **mat, int width, int height)
{
	using namespace std;
	ifstream ifile;
	ifile.open("input.txt");
	if(!ifile)
	{
		cout<<"Open Unsuccess"<<endl;
		return false;
	}
	for(int i=0;i<height;i++)
	{
		for(int j=0;j<width;j++)
		{
			ifile>>mat[i][j];
		}
	}
	return true;
}

//Output the result through console
void Output(int **mat, int width, int height)
{
	using namespace std;
	for(int i=0;i<height;i++)
	{
		for(int j=0;j<width;j++)
		{
			cout<<mat[i][j]<<" ";
		}
		cout<<endl;
	}
}

//Set rows and columns to be zero where there exists an element whose value is 0
void SetZero(int **mat, int width, int height)
{
	int *heightmat = new int[height]();
	int *widthmat = new int[width]();
	//detect elements with value 0
	for(int i=0;i<height;i++)
	{
		for(int j=0;j<width;j++)
		{
			if(mat[i][j]==0)
			{
				heightmat[i]=1;
				widthmat[j]=1;
			}
		}
	}
	//set rows and columns to be 0
	for(int i=0;i<height;i++)
	{
		if(heightmat[i]==1)
		{
			for(int j=0;j<width;j++)
			{
				mat[i][j]=0;
			}
		}
	}
	for(int i=0;i<width;i++)
	{
		if(widthmat[i]==1)
		{
			for(int j=0;j<height;j++)
			{
				mat[j][i]=0;
			}
		}
	}
}