Problem:
Score : 200 points

Problem Statement

There are N apple trees in a row. People say that one of them will bear golden apples.

We want to deploy some number of inspectors so that each of these trees will be inspected.

Each inspector will be deployed under one of the trees. For convenience, we will assign numbers from 1 through N to the trees. An inspector deployed under the i-th tree (1 \leq i \leq N) will inspect the trees with numbers between i-D and i+D (inclusive).

Find the minimum number of inspectors that we need to deploy to achieve the objective.

Constraints

All values in input are integers.

1 \leq N \leq 20

1 \leq D \leq 20

Input

Input is given from Standard Input in the following format:

N D

Output

Print the minimum number of inspectors that we need to deploy to achieve the objective.

Sample Input 1

6 2

Sample Output 1

2

We can achieve the objective by, for example, placing an inspector under Tree 3 and Tree 4.

Sample Input 2

14 3

Sample Output 2

2

Sample Input 3

20 4

Sample Output 3

3

Solution in C (GCC 5.4.1) (judge verdict: Accepted)

/* ex4-1
    kas056 */
#include <stdio.h>
#include <math.h>

int main(void){
    
    int n, d,people;
    double div;
    scanf("%d %d", &n, &d);


    /*ルールによって監視する木の本数((i+d)-(i-d)+1)
    が一人当たり監視する最低限の木の本数(n/people)を上回ればいい */

    // n/people = (i+d)-(i-d)+1を式変形して得られる値をdiv
    div = (double)n /(2* (double)d + 1);
    people = ceil(div);//divを切り上げて最低限の人間を算出
    printf("%d",people);
    
    return 0;
}