Make Them Even

AtCoder

IDabc109_d

Time2000ms

Memory256MB

Difficulty—

There is a grid of square cells with $H$ horizontal rows and $W$ vertical columns. The cell at the $i$\-th row and the $j$\-th column will be denoted as Cell $(i, j)$. In Cell $(i, j)$, $a_{ij}$ coins are placed. You can perform the following operation any number of times: Operation: Choose a cell that was not chosen before and contains one or more coins, then move one of those coins to a vertically or horizontally adjacent cell. Maximize the number of cells containing an even number of coins. ## Constraints * All values in input are integers. * $1 \leq H, W \leq 500$ * $0 \leq a_{ij} \leq 9$ ## Input Input is given from Standard Input in the following format: $H$ $W$ $a_{11}$ $a_{12}$ $...$ $a_{1W}$ $a_{21}$ $a_{22}$ $...$ $a_{2W}$ $:$ $a_{H1}$ $a_{H2}$ $...$ $a_{HW}$ [samples]

Samples

Input #1

2 3
1 2 3
0 1 1

Output #1

3
2 2 2 3
1 1 1 2
1 3 1 2

Every cell contains an even number of coins after the following sequence of operations:

*   Move the coin in Cell $(2, 2)$ to Cell $(2, 3)$.
*   Move the coin in Cell $(1, 1)$ to Cell $(1, 2)$.
*   Move one of the coins in Cell $(1, 3)$ to Cell $(1, 2)$.

Input #2

Output #2

Input #3

1 5
9 9 9 9 9

Output #3

2
1 1 1 2
1 3 1 4

API Response (JSON)

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  "problem": {
    "name": "Make Them Even",
    "description": {
      "content": "There is a grid of square cells with $H$ horizontal rows and $W$ vertical columns. The cell at the $i$\\-th row and the $j$\\-th column will be denoted as Cell $(i, j)$. In Cell $(i, j)$, $a_{ij}$ coins",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc109_d"
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  "statements": [
    {
      "statement_type": "Markdown",
      "content": "There is a grid of square cells with $H$ horizontal rows and $W$ vertical columns. The cell at the $i$\\-th row and the $j$\\-th column will be denoted as Cell $(i, j)$.\nIn Cell $(i, j)$, $a_{ij}$ coins...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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