{"problem":{"name":"Takahashi's Information","description":{"content":"We have a $3 \\times 3$ grid. A number $c_{i, j}$ 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 ","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc088_c"},"statements":[{"statement_type":"Markdown","content":"We have a $3 \\times 3$ grid. A number $c_{i, j}$ 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.  \nAccording to Takahashi, there are six integers $a_1, a_2, a_3, b_1, b_2, b_3$ whose values are fixed, and the number written in the square $(i, j)$ is equal to $a_i + b_j$.  \nDetermine if he is correct.\n\n## Constraints\n\n*   $c_{i, j} \\ (1 \\leq i \\leq 3, 1 \\leq j \\leq 3)$ is an integer between $0$ and $100$ (inclusive).\n\n## Input\n\nInput is given from Standard Input in the following format:\n\n$c_{1,1}$ $c_{1,2}$ $c_{1,3}$\n$c_{2,1}$ $c_{2,2}$ $c_{2,3}$\n$c_{3,1}$ $c_{3,2}$ $c_{3,3}$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"abc088_c","tags":[],"sample_group":[["1 0 1\n2 1 2\n1 0 1","Yes\n\nTakahashi is correct, since there are possible sets of integers such as: $a_1=0,a_2=1,a_3=0,b_1=1,b_2=0,b_3=1$."],["2 2 2\n2 1 2\n2 2 2","No\n\nTakahashi is incorrect in this case."],["0 8 8\n0 8 8\n0 8 8","Yes"],["1 8 6\n2 9 7\n0 7 7","No"]],"created_at":"2026-03-03 11:01:13"}}