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9befbbd1cf 2016-09-06        kinaba: #include <iostream>
9befbbd1cf 2016-09-06        kinaba: #include <sstream>
9befbbd1cf 2016-09-06        kinaba: #include <iomanip>
9befbbd1cf 2016-09-06        kinaba: #include <vector>
9befbbd1cf 2016-09-06        kinaba: #include <string>
9befbbd1cf 2016-09-06        kinaba: #include <map>
9befbbd1cf 2016-09-06        kinaba: #include <set>
9befbbd1cf 2016-09-06        kinaba: #include <algorithm>
9befbbd1cf 2016-09-06        kinaba: #include <numeric>
9befbbd1cf 2016-09-06        kinaba: #include <iterator>
9befbbd1cf 2016-09-06        kinaba: #include <functional>
9befbbd1cf 2016-09-06        kinaba: #include <complex>
9befbbd1cf 2016-09-06        kinaba: #include <queue>
9befbbd1cf 2016-09-06        kinaba: #include <stack>
9befbbd1cf 2016-09-06        kinaba: #include <cmath>
9befbbd1cf 2016-09-06        kinaba: #include <cassert>
9befbbd1cf 2016-09-06        kinaba: #include <tuple>
9befbbd1cf 2016-09-06        kinaba: using namespace std;
9befbbd1cf 2016-09-06        kinaba: typedef long long LL;
9befbbd1cf 2016-09-06        kinaba: typedef complex<double> CMP;
9befbbd1cf 2016-09-06        kinaba: 
9befbbd1cf 2016-09-06        kinaba: static const unsigned MODVAL = 1000000007;
9befbbd1cf 2016-09-06        kinaba: 
9befbbd1cf 2016-09-06        kinaba: class XorOrderDiv1 { public:
9befbbd1cf 2016-09-06        kinaba: 	int get(int m, int n, int a0, int b)
9befbbd1cf 2016-09-06        kinaba: 	{
9befbbd1cf 2016-09-06        kinaba: 		vector<int> a;
9befbbd1cf 2016-09-06        kinaba: 		for(int i=0; i<n; ++i)
9befbbd1cf 2016-09-06        kinaba: 			a.push_back(int((a0 + LL(i)*b) % (1LL<<m)));
9befbbd1cf 2016-09-06        kinaba: 		sort(a.begin(), a.end());
9befbbd1cf 2016-09-06        kinaba: 		return solve(a, m);
9befbbd1cf 2016-09-06        kinaba: 	}
9befbbd1cf 2016-09-06        kinaba: 
9befbbd1cf 2016-09-06        kinaba: 	int solve(const vector<int>& A, int M)
9befbbd1cf 2016-09-06        kinaba: 	{
9befbbd1cf 2016-09-06        kinaba: 		vector<int> d;
9befbbd1cf 2016-09-06        kinaba: 		return solve_rec(A, 0, A.size(), M-1, d);
9befbbd1cf 2016-09-06        kinaba: 	}
9befbbd1cf 2016-09-06        kinaba: 
9befbbd1cf 2016-09-06        kinaba: 	int solve_rec(const vector<int>& A, int s, int e, int bit, vector<int>& d)
9befbbd1cf 2016-09-06        kinaba: 	{
9befbbd1cf 2016-09-06        kinaba: 		if(s==e)
9befbbd1cf 2016-09-06        kinaba: 			return 0;
9befbbd1cf 2016-09-06        kinaba: 
9befbbd1cf 2016-09-06        kinaba: 		if(bit == -1) {
9befbbd1cf 2016-09-06        kinaba: 			const int M = d.size();
9befbbd1cf 2016-09-06        kinaba: 			LL q = 0;
9befbbd1cf 2016-09-06        kinaba: 			LL sigma = 0;
9befbbd1cf 2016-09-06        kinaba: 			for(int m=M-1; m>=0; --m)
9befbbd1cf 2016-09-06        kinaba: 			{
9befbbd1cf 2016-09-06        kinaba: 				LL qprev = q;
9befbbd1cf 2016-09-06        kinaba: 				LL dd = d[m];
9befbbd1cf 2016-09-06        kinaba: 				q = dd*dd%MODVAL*(1LL<<(M-m-1)) + sigma*dd%MODVAL*(1LL<<(M-m-1)) + 2*qprev;
9befbbd1cf 2016-09-06        kinaba: 				sigma += dd;
9befbbd1cf 2016-09-06        kinaba: 			}
9befbbd1cf 2016-09-06        kinaba: 			return int(q % MODVAL);
9befbbd1cf 2016-09-06        kinaba: 		}
9befbbd1cf 2016-09-06        kinaba: 
9befbbd1cf 2016-09-06        kinaba: 		int m=s;
9befbbd1cf 2016-09-06        kinaba: 		for(; m<e; ++m)
9befbbd1cf 2016-09-06        kinaba: 			if(A[m]&(1<<bit))
9befbbd1cf 2016-09-06        kinaba: 				break;
9befbbd1cf 2016-09-06        kinaba: 
9befbbd1cf 2016-09-06        kinaba: 		int ans = 0;
9befbbd1cf 2016-09-06        kinaba: 		d.push_back(e-m);
9befbbd1cf 2016-09-06        kinaba: 		ans ^= solve_rec(A, s, m, bit-1, d);
9befbbd1cf 2016-09-06        kinaba: 		d.pop_back();
9befbbd1cf 2016-09-06        kinaba: 		d.push_back(m-s);
9befbbd1cf 2016-09-06        kinaba: 		ans ^= solve_rec(A, m, e, bit-1, d);
9befbbd1cf 2016-09-06        kinaba: 		d.pop_back();
9befbbd1cf 2016-09-06        kinaba: 		return ans;
9befbbd1cf 2016-09-06        kinaba: 	}
9befbbd1cf 2016-09-06        kinaba: };
9befbbd1cf 2016-09-06        kinaba: 
9befbbd1cf 2016-09-06        kinaba: // BEGIN CUT HERE
9befbbd1cf 2016-09-06        kinaba: #include <ctime>
9befbbd1cf 2016-09-06        kinaba: double start_time; string timer()
9befbbd1cf 2016-09-06        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
9befbbd1cf 2016-09-06        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
9befbbd1cf 2016-09-06        kinaba:  { os << "{ ";
9befbbd1cf 2016-09-06        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
9befbbd1cf 2016-09-06        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
9befbbd1cf 2016-09-06        kinaba: void verify_case(const int& Expected, const int& Received) {
9befbbd1cf 2016-09-06        kinaba:  bool ok = (Expected == Received);
9befbbd1cf 2016-09-06        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
9befbbd1cf 2016-09-06        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
9befbbd1cf 2016-09-06        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
9befbbd1cf 2016-09-06        kinaba: #define END	 verify_case(_, XorOrderDiv1().get(m, n, a0, b));}
9befbbd1cf 2016-09-06        kinaba: int main(){
9befbbd1cf 2016-09-06        kinaba: 
9befbbd1cf 2016-09-06        kinaba: CASE(0)
9befbbd1cf 2016-09-06        kinaba: 	int m = 2;
9befbbd1cf 2016-09-06        kinaba: 	int n = 3;
9befbbd1cf 2016-09-06        kinaba: 	int a0 = 0;
9befbbd1cf 2016-09-06        kinaba: 	int b = 1;
9befbbd1cf 2016-09-06        kinaba: 	int _ = 8;
9befbbd1cf 2016-09-06        kinaba: END
9befbbd1cf 2016-09-06        kinaba: CASE(1)
9befbbd1cf 2016-09-06        kinaba: 	int m = 3;
9befbbd1cf 2016-09-06        kinaba: 	int n = 5;
9befbbd1cf 2016-09-06        kinaba: 	int a0 = 1;
9befbbd1cf 2016-09-06        kinaba: 	int b = 3;
9befbbd1cf 2016-09-06        kinaba: 	int _ = 48;
9befbbd1cf 2016-09-06        kinaba: END
9befbbd1cf 2016-09-06        kinaba: CASE(2)
9befbbd1cf 2016-09-06        kinaba: 	int m = 16;
9befbbd1cf 2016-09-06        kinaba: 	int n = 100;
9befbbd1cf 2016-09-06        kinaba: 	int a0 = 41;
9befbbd1cf 2016-09-06        kinaba: 	int b = 5;
9befbbd1cf 2016-09-06        kinaba: 	int _ = 523436032;
9befbbd1cf 2016-09-06        kinaba: END
9befbbd1cf 2016-09-06        kinaba: CASE(3)
9befbbd1cf 2016-09-06        kinaba: 	int m = 30;
9befbbd1cf 2016-09-06        kinaba: 	int n = 200000;
9befbbd1cf 2016-09-06        kinaba: 	int a0 = 399;
9befbbd1cf 2016-09-06        kinaba: 	int b = 18082016;
9befbbd1cf 2016-09-06        kinaba: 	int _ = 408585698;
9befbbd1cf 2016-09-06        kinaba: END
9befbbd1cf 2016-09-06        kinaba: /*
9befbbd1cf 2016-09-06        kinaba: CASE(4)
9befbbd1cf 2016-09-06        kinaba: 	int m = ;
9befbbd1cf 2016-09-06        kinaba: 	int n = ;
9befbbd1cf 2016-09-06        kinaba: 	int a0 = ;
9befbbd1cf 2016-09-06        kinaba: 	int b = ;
9befbbd1cf 2016-09-06        kinaba: 	int _ = ;
9befbbd1cf 2016-09-06        kinaba: END
9befbbd1cf 2016-09-06        kinaba: CASE(5)
9befbbd1cf 2016-09-06        kinaba: 	int m = ;
9befbbd1cf 2016-09-06        kinaba: 	int n = ;
9befbbd1cf 2016-09-06        kinaba: 	int a0 = ;
9befbbd1cf 2016-09-06        kinaba: 	int b = ;
9befbbd1cf 2016-09-06        kinaba: 	int _ = ;
9befbbd1cf 2016-09-06        kinaba: END
9befbbd1cf 2016-09-06        kinaba: */
9befbbd1cf 2016-09-06        kinaba: }
9befbbd1cf 2016-09-06        kinaba: // END CUT HERE