SOLVE

LATER

Prime Minister's number

Problem

Editorial

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Our Prime Minister has some secret numbers, so as in any case of emergency he can use it to contact the *Avengers* to save him. But these numbers has some special features, they are prime and sum of each individual's digit is also prime.Like *23*, it is prime number and sum of it's digits *(2+3)= 5*, is also a prime number.

For your information, Avengers are *Earth's Mightiest Heroes *, consisting of Iron Man, Captain America, Thor, Hulk and many more.

So your task is to print all the such numbers in a given range, a,b (both included), in ascending order.

Save your PM.

**Input:**

Single line containing two space separated integers, a and b respectively.

**Output:**

All the integers between a to b (including a and b), that satisfy conditions mentioned in statement, separated by single space.

**Constraints:**

1<= a,b <=1000000

Explanation

**Sample Input:**

10 50

**Sample Output:**

11 23 29 41 43 47

**Explanation:**

Here a=10, b=50.

All the numbers between these which satisfy the property explained in question are

11 23 29 41 43 47, in ascending order.

11 (1+1=2 is prime)

23 (2+3=5 is prime)

29 (2+9=11 is prime)

41 (4+1=5 is prime)

43 (4+3=7 is prime)

47 (4+7=11 is prime)

Time Limit:
4.0 sec(s)
for each input file.

Memory Limit:
256 MB

Source Limit:
1024 KB

Marking Scheme:
Marks are awarded when all the testcases pass.

Allowed Languages:
Bash,
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C++,
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D,
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JavaScript(Rhino),
JavaScript(Node.js),
Julia,
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Lisp,
Lisp (SBCL),
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OCaml,
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PHP,
Python,
Python 3,
R(RScript),
Racket,
Ruby,
Rust,
Scala,
Swift,
Swift-4.1,
TypeScript,
Visual Basic

Initializing Code Editor...

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