Problem:
Score : 200 points

Problem Statement

Square1001 has seen an electric bulletin board displaying the integer 1.
He can perform the following operations A and B to change this value:

Operation A: The displayed value is doubled.

Operation B: The displayed value increases by K.

Square1001 needs to perform these operations N times in total.
Find the minimum possible value displayed in the board after N operations.

Constraints

1 \leq N, K \leq 10

All input values are integers.

Input

Input is given from Standard Input in the following format:

N
K

Output

Print the minimum possible value displayed in the board after N operations.

Sample Input 1

4
3

Sample Output 1

10

The value will be minimized when the operations are performed in the following order: A, A, B, B.

In this case, the value will change as follows: 1 → 2 → 4 → 7 → 10.

Sample Input 2

10
10

Sample Output 2

76

The value will be minimized when the operations are performed in the following order: A, A, A, A, B, B, B, B, B, B.

In this case, the value will change as follows: 1 → 2 → 4 → 8 → 16 → 26 → 36 → 46 → 56 → 66 → 76.

By the way, this contest is AtCoder Beginner Contest 076.

Solution in Rust (1.15.1) (judge verdict: Accepted)

use std::io;

fn main() {
    let N=get_int();
    let K=get_int();
    let mut num=1;
    for n in 0..N {
        if num>K {
            num+=K;
        }else {
            num*=2;
        }
    }
    println!("{}",num);
}

fn get_String()->String{
    let mut s =String::new();
    io::stdin().read_line(&mut s).expect("Fail!");        
    s.trim().to_string()
}

fn get_int()->i32{
    let mut input =String::new();
    io::stdin().read_line(&mut input).expect("Fail!");
    input.trim().to_string().parse().unwrap()
}