#include <iostream>
#include <sstream>
#include <iomanip>
#include <vector>
#include <string>
#include <map>
#include <set>
#include <algorithm>
#include <numeric>
#include <iterator>
#include <functional>
#include <complex>
#include <queue>
#include <stack>
#include <cmath>
#include <cassert>
using namespace std;
typedef long long LL;
typedef long double LD;
typedef complex<LD> CMP;

class AlternateColors2 { public:
	long long countWays(int n, int k)
	{
		LL total = 0;
		for(int mini=0; mini*3<=n; ++mini)
		{
			if(mini*3 == n) {
				total += rgb(mini, mini, mini, k) ? 1 : 0;
			} else {
				total += rgb(mini, mini, n-mini*2, k) ? 1 : 0;
				total += rgb(mini, n-mini*2, mini, k) ? 1 : 0;
				total += rgb(n-mini*2, mini, mini, k) ? 1 : 0;
				int free = n - mini*3;
				if(free >= 2) {
					if(k <= mini*3) {
						if((k-1)%3==0) {
							total += (free - 1)*3;
						}
					} else {
						total += twoball(free, k-mini*3) * 2;
					}
				}
			}
		}
		return total;
	}

	bool rgb(int r, int g, int b, int k) {
		int mini = min(r, min(g, b));
		if( k <= mini*3 )
			return (k-1)%3==0;
		r -= mini;
		g -= mini;
		b -= mini;
		k -= mini*3;
		if(r==0) return false;
		if(g==0) return xx(r,b,k);
		if(b==0) return xx(r,g,k);
	}

	bool xx(int r, int g, int k)
	{
		int mini = min(r,g);
		if( k <= mini*2 )
			return (k-1)%2 == 0;
		r -= mini;
		g -= mini;
		k -= mini*2;
		return r>0;
	}

	LL twoball(int n, int k)
	{
		int MM = (k-1)/2;
		LL total = MM;
		if( (MM+1)*2 <= n && (k-1)%2==0 )
			total += (n-(MM+1)*2 + 1);
		return total;
	}
};

// BEGIN CUT HERE
#include <ctime>
double start_time; string timer()
 { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
 { os << "{ ";
   for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
   os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
void verify_case(const long long& Expected, const long long& Received) {
 bool ok = (Expected == Received);
 if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
 cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
#define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
#define END	 verify_case(_, AlternateColors2().countWays(n, k));}
int main(){

CASE(0)
	int n = 1; 
	int k = 1; 
	long long _ = 1LL; 
END
CASE(1)
	int n = 3; 
	int k = 3; 
	long long _ = 3LL; 
END
CASE(2)
	int n = 6; 
	int k = 4; 
	long long _ = 9LL; 
END
CASE(3)
	int n = 6; 
	int k = 1; 
	long long _ = 21LL; 
END
CASE(4)
	int n = 1000; 
	int k = 2; 
	long long _ = 1LL; 
END
CASE(5)
	int n = 100000; 
	int k = 100000; 
	long long _ = 1666700000LL; 
END
CASE(6)
	int n = 100000; 
	int k = 100; 
	long long _ = -1LL; 
END
/*
CASE(7)
	int n = ; 
	int k = ; 
	long long _ = LL; 
END
*/
}
// END CUT HERE
