6bf49a0393 2012-12-20        kinaba: #include <iostream>
6bf49a0393 2012-12-20        kinaba: #include <sstream>
6bf49a0393 2012-12-20        kinaba: #include <iomanip>
6bf49a0393 2012-12-20        kinaba: #include <vector>
6bf49a0393 2012-12-20        kinaba: #include <string>
6bf49a0393 2012-12-20        kinaba: #include <map>
6bf49a0393 2012-12-20        kinaba: #include <set>
6bf49a0393 2012-12-20        kinaba: #include <algorithm>
6bf49a0393 2012-12-20        kinaba: #include <numeric>
6bf49a0393 2012-12-20        kinaba: #include <iterator>
6bf49a0393 2012-12-20        kinaba: #include <functional>
6bf49a0393 2012-12-20        kinaba: #include <complex>
6bf49a0393 2012-12-20        kinaba: #include <queue>
6bf49a0393 2012-12-20        kinaba: #include <stack>
6bf49a0393 2012-12-20        kinaba: #include <cmath>
6bf49a0393 2012-12-20        kinaba: #include <cassert>
6bf49a0393 2012-12-20        kinaba: using namespace std;
6bf49a0393 2012-12-20        kinaba: typedef long long LL;
6bf49a0393 2012-12-20        kinaba: typedef long double LD;
6bf49a0393 2012-12-20        kinaba: typedef complex<LD> CMP;
6bf49a0393 2012-12-20        kinaba: 
6bf49a0393 2012-12-20        kinaba: class AlternateColors2 { public:
6bf49a0393 2012-12-20        kinaba: 	long long countWays(int n, int k)
6bf49a0393 2012-12-20        kinaba: 	{
6bf49a0393 2012-12-20        kinaba: 		LL total = 0;
6bf49a0393 2012-12-20        kinaba: 		for(int mini=0; mini*3<=n; ++mini)
6bf49a0393 2012-12-20        kinaba: 		{
6bf49a0393 2012-12-20        kinaba: 			if(mini*3 == n) {
6bf49a0393 2012-12-20        kinaba: 				total += rgb(mini, mini, mini, k) ? 1 : 0;
6bf49a0393 2012-12-20        kinaba: 			} else {
6bf49a0393 2012-12-20        kinaba: 				total += rgb(mini, mini, n-mini*2, k) ? 1 : 0;
6bf49a0393 2012-12-20        kinaba: 				total += rgb(mini, n-mini*2, mini, k) ? 1 : 0;
6bf49a0393 2012-12-20        kinaba: 				total += rgb(n-mini*2, mini, mini, k) ? 1 : 0;
6bf49a0393 2012-12-20        kinaba: 				int free = n - mini*3;
6bf49a0393 2012-12-20        kinaba: 				if(free >= 2) {
6bf49a0393 2012-12-20        kinaba: 					if(k <= mini*3) {
6bf49a0393 2012-12-20        kinaba: 						if((k-1)%3==0) {
6bf49a0393 2012-12-20        kinaba: 							total += (free - 1)*3;
6bf49a0393 2012-12-20        kinaba: 						}
6bf49a0393 2012-12-20        kinaba: 					} else {
6bf49a0393 2012-12-20        kinaba: 						total += twoball(free, k-mini*3) * 2;
6bf49a0393 2012-12-20        kinaba: 					}
6bf49a0393 2012-12-20        kinaba: 				}
6bf49a0393 2012-12-20        kinaba: 			}
6bf49a0393 2012-12-20        kinaba: 		}
6bf49a0393 2012-12-20        kinaba: 		return total;
6bf49a0393 2012-12-20        kinaba: 	}
6bf49a0393 2012-12-20        kinaba: 
6bf49a0393 2012-12-20        kinaba: 	bool rgb(int r, int g, int b, int k) {
6bf49a0393 2012-12-20        kinaba: 		int mini = min(r, min(g, b));
6bf49a0393 2012-12-20        kinaba: 		if( k <= mini*3 )
6bf49a0393 2012-12-20        kinaba: 			return (k-1)%3==0;
6bf49a0393 2012-12-20        kinaba: 		r -= mini;
6bf49a0393 2012-12-20        kinaba: 		g -= mini;
6bf49a0393 2012-12-20        kinaba: 		b -= mini;
6bf49a0393 2012-12-20        kinaba: 		k -= mini*3;
6bf49a0393 2012-12-20        kinaba: 		if(r==0) return false;
6bf49a0393 2012-12-20        kinaba: 		if(g==0) return xx(r,b,k);
6bf49a0393 2012-12-20        kinaba: 		if(b==0) return xx(r,g,k);
6bf49a0393 2012-12-20        kinaba: 	}
6bf49a0393 2012-12-20        kinaba: 
6bf49a0393 2012-12-20        kinaba: 	bool xx(int r, int g, int k)
6bf49a0393 2012-12-20        kinaba: 	{
6bf49a0393 2012-12-20        kinaba: 		int mini = min(r,g);
6bf49a0393 2012-12-20        kinaba: 		if( k <= mini*2 )
6bf49a0393 2012-12-20        kinaba: 			return (k-1)%2 == 0;
6bf49a0393 2012-12-20        kinaba: 		r -= mini;
6bf49a0393 2012-12-20        kinaba: 		g -= mini;
6bf49a0393 2012-12-20        kinaba: 		k -= mini*2;
6bf49a0393 2012-12-20        kinaba: 		return r>0;
6bf49a0393 2012-12-20        kinaba: 	}
6bf49a0393 2012-12-20        kinaba: 
6bf49a0393 2012-12-20        kinaba: 	LL twoball(int n, int k)
6bf49a0393 2012-12-20        kinaba: 	{
6bf49a0393 2012-12-20        kinaba: 		int MM = (k-1)/2;
6bf49a0393 2012-12-20        kinaba: 		LL total = MM;
6bf49a0393 2012-12-20        kinaba: 		if( (MM+1)*2 <= n && (k-1)%2==0 )
6bf49a0393 2012-12-20        kinaba: 			total += (n-(MM+1)*2 + 1);
6bf49a0393 2012-12-20        kinaba: 		return total;
6bf49a0393 2012-12-20        kinaba: 	}
6bf49a0393 2012-12-20        kinaba: };
6bf49a0393 2012-12-20        kinaba: 
6bf49a0393 2012-12-20        kinaba: // BEGIN CUT HERE
6bf49a0393 2012-12-20        kinaba: #include <ctime>
6bf49a0393 2012-12-20        kinaba: double start_time; string timer()
6bf49a0393 2012-12-20        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
6bf49a0393 2012-12-20        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
6bf49a0393 2012-12-20        kinaba:  { os << "{ ";
6bf49a0393 2012-12-20        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
6bf49a0393 2012-12-20        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
6bf49a0393 2012-12-20        kinaba: void verify_case(const long long& Expected, const long long& Received) {
6bf49a0393 2012-12-20        kinaba:  bool ok = (Expected == Received);
6bf49a0393 2012-12-20        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
6bf49a0393 2012-12-20        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
6bf49a0393 2012-12-20        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
6bf49a0393 2012-12-20        kinaba: #define END	 verify_case(_, AlternateColors2().countWays(n, k));}
6bf49a0393 2012-12-20        kinaba: int main(){
6bf49a0393 2012-12-20        kinaba: 
6bf49a0393 2012-12-20        kinaba: CASE(0)
6bf49a0393 2012-12-20        kinaba: 	int n = 1;
6bf49a0393 2012-12-20        kinaba: 	int k = 1;
6bf49a0393 2012-12-20        kinaba: 	long long _ = 1LL;
6bf49a0393 2012-12-20        kinaba: END
6bf49a0393 2012-12-20        kinaba: CASE(1)
6bf49a0393 2012-12-20        kinaba: 	int n = 3;
6bf49a0393 2012-12-20        kinaba: 	int k = 3;
6bf49a0393 2012-12-20        kinaba: 	long long _ = 3LL;
6bf49a0393 2012-12-20        kinaba: END
6bf49a0393 2012-12-20        kinaba: CASE(2)
6bf49a0393 2012-12-20        kinaba: 	int n = 6;
6bf49a0393 2012-12-20        kinaba: 	int k = 4;
6bf49a0393 2012-12-20        kinaba: 	long long _ = 9LL;
6bf49a0393 2012-12-20        kinaba: END
6bf49a0393 2012-12-20        kinaba: CASE(3)
6bf49a0393 2012-12-20        kinaba: 	int n = 6;
6bf49a0393 2012-12-20        kinaba: 	int k = 1;
6bf49a0393 2012-12-20        kinaba: 	long long _ = 21LL;
6bf49a0393 2012-12-20        kinaba: END
6bf49a0393 2012-12-20        kinaba: CASE(4)
6bf49a0393 2012-12-20        kinaba: 	int n = 1000;
6bf49a0393 2012-12-20        kinaba: 	int k = 2;
6bf49a0393 2012-12-20        kinaba: 	long long _ = 1LL;
6bf49a0393 2012-12-20        kinaba: END
6bf49a0393 2012-12-20        kinaba: CASE(5)
6bf49a0393 2012-12-20        kinaba: 	int n = 100000;
6bf49a0393 2012-12-20        kinaba: 	int k = 100000;
6bf49a0393 2012-12-20        kinaba: 	long long _ = 1666700000LL;
6bf49a0393 2012-12-20        kinaba: END
6bf49a0393 2012-12-20        kinaba: CASE(6)
6bf49a0393 2012-12-20        kinaba: 	int n = 100000;
6bf49a0393 2012-12-20        kinaba: 	int k = 100;
6bf49a0393 2012-12-20        kinaba: 	long long _ = -1LL;
6bf49a0393 2012-12-20        kinaba: END
6bf49a0393 2012-12-20        kinaba: /*
6bf49a0393 2012-12-20        kinaba: CASE(7)
6bf49a0393 2012-12-20        kinaba: 	int n = ;
6bf49a0393 2012-12-20        kinaba: 	int k = ;
6bf49a0393 2012-12-20        kinaba: 	long long _ = LL;
6bf49a0393 2012-12-20        kinaba: END
6bf49a0393 2012-12-20        kinaba: */
6bf49a0393 2012-12-20        kinaba: }
6bf49a0393 2012-12-20        kinaba: // END CUT HERE