Given a number N and base b if N in base b representation starts with 1 print Yes else print No
Input : n = 6, b = 4 Output : Yes 6 can be written as in base 4 so answer is Yes as it starts with 1 Input : n = 24, b = 2 Output : Yes 24 can be written as in base 2 so answer is Yes as it starts with 1 Input : n = 24, b = 7 Output : No 24 can be written as in base 7 so answer is No as it starts with 3
When a number N is represented in base ‘b’ it gets converted to m+1 length sequence ….. which implies * + *…..+* = N
The smallest number in base b and starting with ‘1’ i.e. 100..00 and m+1 digits in base is
and largest number is 2*-1.So N should lie in this range.
<= N <= 2*-1
Now another thing to notice is that m cannot exceed floor((N)) because when we represent any number in base-2 it gets converted into a sequence of only 1s and 0s so the length of this sequence will always be greater than any other base representation and its length will be equal to floor((N))+1.
So to check for a given base 'b' if N starts with 1 or not we will traverse from m = 1 to m = floor((N)) and check if for any m N lies in the range <= N <= 2*-1 or not and accordingly print "Yes" or "No".
Yes Yes No Yes
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