An bydrocarbon is an organic compound which contains only carbons and hydrogens. An isomer is a compound that has the same number of carbons but different structures. Heptane, for example, is a hydrocarbon with 7 carbons. It has nine isomers. The structural formula of three are shown in Figure 1. Carbons are represented by the letter C, and bonds between carbons are represented by a straight line. In all figures, hydrogens are not represented for simplicity. Each carbon can be connected to a maximum of 4 carbons.

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Figure 1: These three examples of isomers of heptane have the same number of carbons but different structures.
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Let define a chain in an isomer as a sequence of connected carbons without branches. An isomer can have many chains of the same length. Figure 2 shows the longest chain of carbons for each of the represented isomer. Note that there can be many instances of longest chain in an isomer.

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Figure 2: The figures shows one instance of longest chain of carbons in each isomer. The first and the second isomers show longest chains of 5 carbons. The longest chain in the third isomer has 4 carbons.
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Your task is to identify the number of carbons of the largest possible carbon compound whose longest carbon chain has n (1 ≤ n ≤ 30) carbons.



Input

Each input contains a list of number of carbons, i.e. the length of a carbon chain.

The number of input lines is less than or equal to 30.

Output

For each number n in input, identify the number of carbons of the largest possible carbon compound whose longest carbon chain has n carbons.

Example

Input

1
4


Output

1
8
#define _USE_MATH_DEFINES
#define INF 0x3f3f3f3f
#include <iostream>
#include <sstream>
#include <cmath>
#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <queue>
#include <stack>
#include <limits>
#include <map>
#include <string>
#include <cstring>
#include <set>
#include <deque>
#include <bitset>
#include <list>
 
using namespace std;
 
typedef long long ll;
typedef pair <int,int> P;
 
static const double EPS = 1e-8;

static const int tx[] = {0,1,0,-1};
static const int ty[] = {-1,0,1,0};

int sum[50];

int main(){
  for(int i = 1,len=1; len <= 30; i *= 3){
    sum[len] = sum[len-1] + i;
    sum[len+1] = sum[len] + i;
    len+=2;
  }

  int n;
  while(~scanf("%d",&n)){
    int res = 0;
    printf("%d\n",sum[n]);
  }
}