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## Problem Description

Jiahai is planting potatoes in his field of height *H* and width *W*. Currently, he has *N* potatoes. Jiahai would start planting his potatoes from the top-left corner onwards and move towards the right on the first row. After the first row is filled, he will move on to the second row and fill up the fields from the left, etc.

Given *H*, *W* and *N*, draw out the configuration of Jiahai Potato Farm, denoting a plot with a potato as 'X' and an empty plot with 'O'.

## Input

The first line of input will contain three integers, *H*, *W* and *N*.

## Output

Your output should contain the configuration of Jiahai Potato Farm as described above.

## Limits

Subtask 1 (15%): H = 1, 1 ≤ W ≤ 1000, 0 ≤ N ≤ H*W

Subtask 2 (15%): 1 ≤ H, W ≤ 1000, N = 0

Subtask 3 (70%): 1 ≤ H, W ≤ 1000, 0 ≤ N ≤ H*W

## Sample Input 1

3 4 7

## Sample Output 1

XXXX XXXO OOOO

## Sample Input 2

1 7 6

## Sample Output 2

XXXXXXO

### Tags

### Subtasks and Limits

Subtask | Score | #TC | Time | Memory | Scoring |
---|---|---|---|---|---|

1 | 15 | 10 | 1s | 32MB | Minimum |

2 | 15 | 10 | 1s | 32MB | Minimum |

3 | 70 | 20 | 1s | 32MB | Minimum |

4 | 0 | 2 | 1s | 32MB | Minimum |

### Judge Compile Command

g++-7 ans.cpp -o potatoplanting -Wall -static -O2 -lm -m64 -s -w -std=gnu++17 -fmax-errors=512