Plus Matrix

AtCoder

IDarc115_b

Time2000ms

Memory256MB

Difficulty—

Given is an $N \times N$ matrix $C$ whose elements are non-negative integers. Determine whether there is a pair of sequences of non-negative integers $A_1,A_2,\ldots,A_N$ and $B_1,B_2,\ldots,B_N$ such that $C_{i,j}=A_i+B_j$ for every $(i, j)$. If the answer is yes, print one such pair. ## Constraints * $1 \leq N \leq 500$ * $0 \leq C_{i,j} \leq 10^9$ ## Input Input is given from Standard Input in the following format: $N$ $C_{1,1}$ $C_{1,2}$ $\ldots$ $C_{1,N}$ $C_{2,1}$ $C_{2,2}$ $\ldots$ $C_{2,N}$ $:$ $C_{N,1}$ $C_{N,2}$ $\ldots$ $C_{N,N}$ [samples]

Samples

Input #1

Output #1

Yes
2 0 1
2 1 3

Note that $A$ and $B$ consist of non-negative integers.

Input #2

Output #2

No

API Response (JSON)

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  "problem": {
    "name": "Plus Matrix",
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      "content": "Given is an $N \\times N$ matrix $C$ whose elements are non-negative integers. Determine whether there is a pair of sequences of non-negative integers $A_1,A_2,\\ldots,A_N$ and $B_1,B_2,\\ldots,B_N$ such",
      "description_type": "Markdown"
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    "platform": "AtCoder",
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      "memory_limit": 262144
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    "difficulty": "None",
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    {
      "statement_type": "Markdown",
      "content": "Given is an $N \\times N$ matrix $C$ whose elements are non-negative integers. Determine whether there is a pair of sequences of non-negative integers $A_1,A_2,\\ldots,A_N$ and $B_1,B_2,\\ldots,B_N$ such...",
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