Given a m x n matrix, if an element is 0, set its entire row and column to 0. Do it in place.
Follow up:
Did you use extra space? A straight forward solution using O(mn) space is probably a bad idea. A simple improvement uses O(m + n) space, but still not the best solution. Could you devise a constant space solution?
思考:其实还是O(m+n),但是没有另外开辟空间,将标记记录在矩阵首行首列。增加判断首行首列是否要置0即可。
class Solution {
public:
void setZeroes(vector<vector<int> > &matrix) {
// IMPORTANT: Please reset any member data you declared, as
// the same Solution instance will be reused for each test case.
int m=matrix.size();
int n=matrix[0].size();
int i,j;
bool flag1=false;//第一列是否有0
bool flag2=false;//第二列是否有0
for(i=0;i<m;i++)
{
if(matrix[i][0]==0)
{
flag1=true;
break;
}
}
for(i=0;i<n;i++)
{
if(matrix[0][i]==0)
{
flag2=true;
break;
}
}
//若此数为0,则行首列首置0
for(i=1;i<m;i++)
{
for(j=1;j<n;j++)
{
if(matrix[i][j]==0)
{
matrix[i][0]=0;
matrix[0][j]=0;
}
}
}
//列行中有0,则此数置0
for(i=1;i<m;i++)
{
for(j=1;j<n;j++)
{
if(matrix[i][0]==0||matrix[0][j]==0)
matrix[i][j]=0;
}
}
//判断首行首列是否需要置0
if(flag1)
{
for(i=0;i<m;i++)
matrix[i][0]=0;
}
if(flag2)
{
for(j=0;j<n;j++)
matrix[0][j]=0;
}
}
};