## Fuel up

Statement

## Goal

You need to calculate if it is possible to fuel up a spaceship within the number of seconds allowed(`t`), given the capacity of the tank (

`c`) in litres, and the number of litres of fuel that can be pumped into its tank per second (

`r`).

The tank starts empty.

The maximum amount of litres per second (

`r`) is constantly pumped into the tank until it is full.

Input

**Line 1:**Three space seperated integers

`t`,

`c`, and

`r`.

Output

**Line 1:**An string

Constraints

0 <

0 <

0 <

`t`≤ 10,0000 <

`c`≤ 10,0000 <

`r`≤ 1000Example

Input

5 3 1

Output

yes

Game modes

Fastest, Shortest

Test cases

Simple Test

Input

5 3 1

Output

yes

Validator 1 Validator

Input

5 3 2

Output

yes

A bit bigger Test

Input

60 500 10

Output

yes

Validator 2 Validator

Input

65 400 11

Output

yes

add an extra digit Test

Input

3333 10000 3

Output

no

Validator 3 Validator

Input

3444 10200 4

Output

yes

Fun with big numbers Test

Input

7 7373 1000

Output

no

Validator 4 Validator

Input

3 8989 2020

Output

no

This'll be interesting Test

Input

1 30 500

Output

yes

Validator 5 Validator

Input

1 31 3000

Output

yes

Can you handle it? Test

Input

00001 0000000000006 000000000019

Output

yes

Validator 6 Validator

Input

0003 000000000000003 0000000000000000000000000000000014

Output

yes

Just in time Test

Input

10 100 10

Output

yes

Validator 7 Validator

Input

28 725 25

Output

no

Solution language

Solution

Stub generator input

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