Matrix Transposition

AtCoder

IDabc237_b

Time2000ms

Memory256MB

Difficulty—

You are given an $H$\-by-$W$ matrix $A$. The element at the $i$\-th row from the top and $j$\-th column from the left of $A$ is $A_{i,j}$. Let $B$ be a $W$\-by-$H$ matrix whose element at the $i$\-th row from the top and $j$\-th column from the left equals $A_{j, i}$. That is, $B$ is the transpose of $A$. Print $B$. ## Constraints * $1\leq H,W \leq 10^5$ * $H \times W \leq 10^5$ * $1 \leq A_{i,j} \leq 10^9$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $H$ $W$ $A_{1,1}$ $A_{1,2}$ $\ldots$ $A_{1,W}$ $A_{2,1}$ $A_{2,2}$ $\ldots$ $A_{2,W}$ $\vdots$ $A_{H,1}$ $A_{H,2}$ $\ldots$ $A_{H,W}$ [samples]

Samples

Input #1

Output #1

1 4 7 10
2 5 8 11
3 6 9 12

For example, we have $A_{2,1}=4$, so the element at the $1$\-st row from the top and $2$\-nd column from the left of the transpose $B$ is $4$.

Input #2

2 2
1000000000 1000000000
1000000000 1000000000

Output #2

1000000000 1000000000
1000000000 1000000000

API Response (JSON)

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  "problem": {
    "name": "Matrix Transposition",
    "description": {
      "content": "You are given an $H$\\-by-$W$ matrix $A$.   The element at the $i$\\-th row from the top and $j$\\-th column from the left of $A$ is $A_{i,j}$. Let $B$ be a $W$\\-by-$H$ matrix whose element at the $i$\\-t",
      "description_type": "Markdown"
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    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
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    "difficulty": "None",
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    "sync_url": null,
    "sign": "abc237_b"
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  "statements": [
    {
      "statement_type": "Markdown",
      "content": "You are given an $H$\\-by-$W$ matrix $A$.  \nThe element at the $i$\\-th row from the top and $j$\\-th column from the left of $A$ is $A_{i,j}$.\nLet $B$ be a $W$\\-by-$H$ matrix whose element at the $i$\\-t...",
      "is_translate": false,
      "language": "English"
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