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## Statement

## Goal

BlitzProg adapts himself to the new experience system. To stand a chance against the top end tier Codingamers, he now needs to create puzzles.BlitzProg solves his own puzzles once they get accepted to maximize experience gain, for a total of 300xp per puzzles.

The xp needed to reach the next level is ( CurrentLevel * Sqrt(CurrentLevel) * 10 ), rounded down.

You're given the current

`Level`and

`XP`needed for BlitzProg to level up. Your goal is to find out what these stats will be after

`N`of his puzzles are approved.

Input

**Line 1:**An integer

`Level`for the current level BlitzProg has reached.

**Line 2:**An integer

`Xp`for how much xp BlitzProg needs to level up.

**Line 3:**An integer

`N`for how many BlitzProg puzzles Codingame has accepted.

Output

**Line 1:**The level BlitzProg has reached

**Line 2:**How much xp BlitzProg needs to reach the next level.

Constraints

1 ≤

1 ≤

0 ≤

`Level`≤ 1001 ≤

`Xp`≤ 100000 ≤

`N`≤ 100Example

Input

10 300 1

Output

11 364

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