Problem:
Score : 100 points

Problem Statement

Takahashi is meeting up with Aoki.

They have planned to meet at a place that is D meters away from Takahashi's house in T minutes from now.

Takahashi will leave his house now and go straight to the place at a speed of S meters per minute.

Will he arrive in time?

Constraints

1 \leq D \leq 10000

1 \leq T \leq 10000

1 \leq S \leq 10000

All values in input are integers.

Input

Input is given from Standard Input in the following format:

D T S

Output

If Takahashi will reach the place in time, print Yes; otherwise, print No.

Sample Input 1

1000 15 80

Sample Output 1

Yes

It takes 12.5 minutes to go 1000 meters to the place at a speed of 80 meters per minute. They have planned to meet in 15 minutes so he will arrive in time.

Sample Input 2

2000 20 100

Sample Output 2

Yes

It takes 20 minutes to go 2000 meters to the place at a speed of 100 meters per minute. They have planned to meet in 20 minutes so he will arrive just on time.

Sample Input 3

10000 1 1

Sample Output 3

No

He will be late.

Solution in PyPy2 (7.3.0) (judge verdict: Wrong Answer)

import sys
import math
 
if sys.subversion[0] == "PyPy":
    import io, atexit
 
    sys.stdout = io.BytesIO()
    atexit.register(lambda: sys.__stdout__.write(sys.stdout.getvalue()))
 
    sys.stdin = io.BytesIO(sys.stdin.read())
    input = lambda: sys.stdin.readline().rstrip()
RS = raw_input
RA = lambda x=int: map(x, RS().split())
RN = lambda x=int: x(RS())
 
 
def solve():
    check_pairwise()
    check_set()
    return
 
 
def check_pairwise():
    active = set()
    for i in range(0, n):
        pp = getprimes(a[i])
        for p in pp:
            if p in active:
                return
            else:
                active.add(p)
    print("setwise coprime")
    exit()
 
 
 
def check_set():
    active = getprimes(a[0])
    for i in range(1, n):
        if not a[i] % a[i-1] == 0:
            rm = []
            for act in active:
                if not a[i] % act == 0:
                    rm.append(act)
            for r in rm:
                active.remove(r)
                if not active:
                    print("setwise coprime")
                    exit()
    if not active:
        print("setwise coprime")
        exit()
    print("not coprime")
    exit()
 
 
 
 
def getprimes(num):
    if num in primes:
        return set([num])
    pp = set()
    for p in iterprimes:
        if p > int(math.sqrt(num)+2):
            break
        if num % p == 0:
            pp.add(p)
 
    return pp