Problem Statement

We have a 3×3 grid. A number ci,j is written in the square (i,j), where (i,j) denotes the square at the i-th row from the top and the j-th column from the left.
According to Takahashi, there are six integers a1,a2,a3,b1,b2,b3 whose values are fixed, and the number written in the square (i,j) is equal to ai+bj.
Determine if he is correct.

Constraints

  • ci,j (1≤i≤3,1≤j≤3) is an integer between 0 and 100 (inclusive).

Input

Input is given from Standard Input in the following format:

c1,1 c1,2 c1,3
c2,1 c2,2 c2,3
c3,1 c3,2 c3,3

Output

If Takahashi's statement is correct, print Yes; otherwise, print No.

Sample Input 1

1 0 1
2 1 2
1 0 1

Sample Output 1

Yes

Takahashi is correct, since there are possible sets of integers such as: a1=0,a2=1,a3=0,b1=1,b2=0,b3=1.

Sample Input 2

2 2 2
2 1 2
2 2 2

Sample Output 2

No

Takahashi is incorrect in this case.

Sample Input 3

0 8 8
0 8 8
0 8 8

Sample Output 3

Yes

Sample Input 4

1 8 6
2 9 7
0 7 7

Sample Output 4

No

枚举。
代码:
#include <bits/stdc++.h>
using namespace std;
int s[][];
int check()
{
if(s[][] - s[][] != s[][] - s[][] || s[][] - s[][] != s[][] - s[][])return ;
if(s[][] - s[][] != s[][] - s[][] || s[][] - s[][] != s[][] - s[][])return ;
if(s[][] - s[][] != s[][] - s[][] || s[][] - s[][] != s[][] - s[][])return ;
if(s[][] - s[][] != s[][] - s[][] || s[][] - s[][] != s[][] - s[][])return ;
if(s[][] - s[][] != s[][] - s[][] || s[][] - s[][] != s[][] - s[][])return ;
if(s[][] - s[][] != s[][] - s[][] || s[][] - s[][] != s[][] - s[][])return ;
return ;
}
int main()
{
for(int i = ;i < ;i ++)
{
for(int j = ;j < ;j ++)
{
cin>>s[i][j];
}
}
if(check())cout<<"Yes";
else cout<<"No";
}

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