Problem$1$:

Let $n=a_k{a}_{k-1}{a}_{k-2}dots{a}_1{a}_0$ be an integer and $t=a_0-a_1+a_2-$cdots$+(-1{)}^k{a}_k.$ It is known that $n$ is evenly divisible by $11$ if and only if $t$ is evenly divisible by $11.$

For example, suppose that $n=8784204.$ Then, $t=4-0+2-4+8-7+8=11.$ Because $11$ is divisible by $11,$ it follows that $8784204$ is divisible by $11.$

If $n=54063297,$ then $t=7-9+2-3+6-0+4-5=2.$ Because $2$ is not divisible by $11,54063297$ is not divisible by $11.$

Write a C$++$ program that prompts the user to enter a positive integer and then uses this criterion to determine whether the number is evenly divisible by $11.$

$1$

Input $/$Output Samples:

Enter a positivo intoger $-22$

Invalid integer

$..$ Program finished with exit code $0$

Press BNrER to exit console.

Linter a positive integer $54063297$

$54063297$ is not divisable by $11$

Press ENrBR to exit console. $$

Inter a positive integer $8784204$

$8784204$ is divisable by $11$

$..$ Program finished with exit code $0$ Press BNH$$R to exit console. $$