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10f7b8dbe6 2015-06-11        kinaba: #include <iostream>
10f7b8dbe6 2015-06-11        kinaba: #include <sstream>
10f7b8dbe6 2015-06-11        kinaba: #include <iomanip>
10f7b8dbe6 2015-06-11        kinaba: #include <vector>
10f7b8dbe6 2015-06-11        kinaba: #include <string>
10f7b8dbe6 2015-06-11        kinaba: #include <map>
10f7b8dbe6 2015-06-11        kinaba: #include <set>
10f7b8dbe6 2015-06-11        kinaba: #include <algorithm>
10f7b8dbe6 2015-06-11        kinaba: #include <numeric>
10f7b8dbe6 2015-06-11        kinaba: #include <iterator>
10f7b8dbe6 2015-06-11        kinaba: #include <functional>
10f7b8dbe6 2015-06-11        kinaba: #include <complex>
10f7b8dbe6 2015-06-11        kinaba: #include <queue>
10f7b8dbe6 2015-06-11        kinaba: #include <stack>
10f7b8dbe6 2015-06-11        kinaba: #include <cmath>
10f7b8dbe6 2015-06-11        kinaba: #include <cassert>
10f7b8dbe6 2015-06-11        kinaba: #include <tuple>
10f7b8dbe6 2015-06-11        kinaba: using namespace std;
10f7b8dbe6 2015-06-11        kinaba: typedef long long LL;
10f7b8dbe6 2015-06-11        kinaba: typedef complex<double> CMP;
10f7b8dbe6 2015-06-11        kinaba: 
10f7b8dbe6 2015-06-11        kinaba: class ModModMod { public:
10f7b8dbe6 2015-06-11        kinaba: 	long long findSum(vector <int> m, int R)
10f7b8dbe6 2015-06-11        kinaba: 	{
10f7b8dbe6 2015-06-11        kinaba: 		memo.assign(m.size()+1, -1);
10f7b8dbe6 2015-06-11        kinaba: 		return rec(m, 0, R);
10f7b8dbe6 2015-06-11        kinaba: 	}
10f7b8dbe6 2015-06-11        kinaba: 
10f7b8dbe6 2015-06-11        kinaba: 	LL rec(const vector<int>& m, int i, int R)
10f7b8dbe6 2015-06-11        kinaba: 	{
10f7b8dbe6 2015-06-11        kinaba: 		if(i == m.size())
10f7b8dbe6 2015-06-11        kinaba: 			return LL(1+R)*R/2;
10f7b8dbe6 2015-06-11        kinaba: 		return rec_memod(m, i)*(R/m[i]) + rec(m, i+1, R%m[i]);
10f7b8dbe6 2015-06-11        kinaba: 	}
10f7b8dbe6 2015-06-11        kinaba: 
10f7b8dbe6 2015-06-11        kinaba: 	vector<LL> memo;
10f7b8dbe6 2015-06-11        kinaba: 	LL rec_memod(const vector<int>& m, int i) {
10f7b8dbe6 2015-06-11        kinaba: 		if(memo[i] >= 0)
10f7b8dbe6 2015-06-11        kinaba: 			return memo[i];
10f7b8dbe6 2015-06-11        kinaba: 		return memo[i] = rec(m, i+1, m[i]-1);
10f7b8dbe6 2015-06-11        kinaba: 	}
10f7b8dbe6 2015-06-11        kinaba: };
10f7b8dbe6 2015-06-11        kinaba: 
10f7b8dbe6 2015-06-11        kinaba: // BEGIN CUT HERE
10f7b8dbe6 2015-06-11        kinaba: #include <ctime>
10f7b8dbe6 2015-06-11        kinaba: double start_time; string timer()
10f7b8dbe6 2015-06-11        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
10f7b8dbe6 2015-06-11        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
10f7b8dbe6 2015-06-11        kinaba:  { os << "{ ";
10f7b8dbe6 2015-06-11        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
10f7b8dbe6 2015-06-11        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
10f7b8dbe6 2015-06-11        kinaba: void verify_case(const long long& Expected, const long long& Received) {
10f7b8dbe6 2015-06-11        kinaba:  bool ok = (Expected == Received);
10f7b8dbe6 2015-06-11        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
10f7b8dbe6 2015-06-11        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
10f7b8dbe6 2015-06-11        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
10f7b8dbe6 2015-06-11        kinaba: #define END	 verify_case(_, ModModMod().findSum(m, R));}
10f7b8dbe6 2015-06-11        kinaba: int main(){
10f7b8dbe6 2015-06-11        kinaba: 
10f7b8dbe6 2015-06-11        kinaba: CASE(0)
10f7b8dbe6 2015-06-11        kinaba: 	int m_[] = {5,3,2};
10f7b8dbe6 2015-06-11        kinaba: 	  vector <int> m(m_, m_+sizeof(m_)/sizeof(*m_));
10f7b8dbe6 2015-06-11        kinaba: 	int R = 10;
10f7b8dbe6 2015-06-11        kinaba: 	long long _ = 4LL;
10f7b8dbe6 2015-06-11        kinaba: END
10f7b8dbe6 2015-06-11        kinaba: CASE(1)
10f7b8dbe6 2015-06-11        kinaba: 	int m_[] = {33, 15, 7, 10, 100, 9, 5};
10f7b8dbe6 2015-06-11        kinaba: 	  vector <int> m(m_, m_+sizeof(m_)/sizeof(*m_));
10f7b8dbe6 2015-06-11        kinaba: 	int R = 64;
10f7b8dbe6 2015-06-11        kinaba: 	long long _ = 92LL;
10f7b8dbe6 2015-06-11        kinaba: END
10f7b8dbe6 2015-06-11        kinaba: CASE(2)
10f7b8dbe6 2015-06-11        kinaba: 	int m_[] = {995,149,28,265,275,107,555,241,702,462,519,212,362,478,783,381,602,546,183,886,59,317,977,612,328,91,771,131};
10f7b8dbe6 2015-06-11        kinaba: 	  vector <int> m(m_, m_+sizeof(m_)/sizeof(*m_));
10f7b8dbe6 2015-06-11        kinaba: 	int R = 992363;
10f7b8dbe6 2015-06-11        kinaba: 	long long _ = 12792005LL;
10f7b8dbe6 2015-06-11        kinaba: END
10f7b8dbe6 2015-06-11        kinaba: CASE(3)
10f7b8dbe6 2015-06-11        kinaba: 	int m_[] = {100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
10f7b8dbe6 2015-06-11        kinaba:  100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
10f7b8dbe6 2015-06-11        kinaba:  100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
10f7b8dbe6 2015-06-11        kinaba:  100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
10f7b8dbe6 2015-06-11        kinaba:  100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
10f7b8dbe6 2015-06-11        kinaba:  100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
10f7b8dbe6 2015-06-11        kinaba:  100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
10f7b8dbe6 2015-06-11        kinaba:  100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100};
10f7b8dbe6 2015-06-11        kinaba: 	  vector <int> m(m_, m_+sizeof(m_)/sizeof(*m_));
10f7b8dbe6 2015-06-11        kinaba: 	int R = 100;
10f7b8dbe6 2015-06-11        kinaba: 	long long _ = 4950LL;
10f7b8dbe6 2015-06-11        kinaba: END
10f7b8dbe6 2015-06-11        kinaba: CASE(4)
10f7b8dbe6 2015-06-11        kinaba: 	int m_[] = {2934};
10f7b8dbe6 2015-06-11        kinaba: 	  vector <int> m(m_, m_+sizeof(m_)/sizeof(*m_));
10f7b8dbe6 2015-06-11        kinaba: 	int R = 10000000;
10f7b8dbe6 2015-06-11        kinaba: 	long long _ = 14664070144LL;
10f7b8dbe6 2015-06-11        kinaba: END
10f7b8dbe6 2015-06-11        kinaba: /*
10f7b8dbe6 2015-06-11        kinaba: CASE(5)
10f7b8dbe6 2015-06-11        kinaba: 	int m_[] = ;
10f7b8dbe6 2015-06-11        kinaba: 	  vector <int> m(m_, m_+sizeof(m_)/sizeof(*m_));
10f7b8dbe6 2015-06-11        kinaba: 	int R = ;
10f7b8dbe6 2015-06-11        kinaba: 	long long _ = LL;
10f7b8dbe6 2015-06-11        kinaba: END
10f7b8dbe6 2015-06-11        kinaba: CASE(6)
10f7b8dbe6 2015-06-11        kinaba: 	int m_[] = ;
10f7b8dbe6 2015-06-11        kinaba: 	  vector <int> m(m_, m_+sizeof(m_)/sizeof(*m_));
10f7b8dbe6 2015-06-11        kinaba: 	int R = ;
10f7b8dbe6 2015-06-11        kinaba: 	long long _ = LL;
10f7b8dbe6 2015-06-11        kinaba: END
10f7b8dbe6 2015-06-11        kinaba: */
10f7b8dbe6 2015-06-11        kinaba: }
10f7b8dbe6 2015-06-11        kinaba: // END CUT HERE