Artifact Content
Not logged in

Artifact ca93294461342c9b7ef4553e91413e8e49e16e6e


#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>
#include <tuple>
using namespace std;
typedef long long LL;
typedef complex<double> CMP;

static const unsigned MODVAL = 1000000007;

class XorOrderDiv1 { public:
	int get(int m, int n, int a0, int b)
	{
		vector<int> a;
		for(int i=0; i<n; ++i)
			a.push_back(int((a0 + LL(i)*b) % (1LL<<m)));
		sort(a.begin(), a.end());
		return solve(a, m);
	}

	int solve(const vector<int>& A, int M)
	{
		vector<int> d;
		return solve_rec(A, 0, A.size(), M-1, d);
	}

	int solve_rec(const vector<int>& A, int s, int e, int bit, vector<int>& d)
	{
		if(s==e)
			return 0;

		if(bit == -1) {
			const int M = d.size();
			LL q = 0;
			LL sigma = 0;
			for(int m=M-1; m>=0; --m)
			{
				LL qprev = q;
				LL dd = d[m];
				q = dd*dd%MODVAL*(1LL<<(M-m-1)) + sigma*dd%MODVAL*(1LL<<(M-m-1)) + 2*qprev;
				sigma += dd;
			}
			return int(q % MODVAL);
		}

		int m=s;
		for(; m<e; ++m)
			if(A[m]&(1<<bit))
				break;

		int ans = 0;
		d.push_back(e-m);
		ans ^= solve_rec(A, s, m, bit-1, d);
		d.pop_back();
		d.push_back(m-s);
		ans ^= solve_rec(A, m, e, bit-1, d);
		d.pop_back();
		return ans;
	}
};

// 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 int& Expected, const int& 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(_, XorOrderDiv1().get(m, n, a0, b));}
int main(){

CASE(0)
	int m = 2; 
	int n = 3; 
	int a0 = 0; 
	int b = 1; 
	int _ = 8; 
END
CASE(1)
	int m = 3; 
	int n = 5; 
	int a0 = 1; 
	int b = 3; 
	int _ = 48; 
END
CASE(2)
	int m = 16; 
	int n = 100; 
	int a0 = 41; 
	int b = 5; 
	int _ = 523436032; 
END
CASE(3)
	int m = 30; 
	int n = 200000; 
	int a0 = 399; 
	int b = 18082016; 
	int _ = 408585698; 
END
/*
CASE(4)
	int m = ; 
	int n = ; 
	int a0 = ; 
	int b = ; 
	int _ = ; 
END
CASE(5)
	int m = ; 
	int n = ; 
	int a0 = ; 
	int b = ; 
	int _ = ; 
END
*/
}
// END CUT HERE