Artifact 56eab9a0d5dca1c426ce6f8b3e5761507711f606
#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 <cstring>
using namespace std;
typedef long long LL;
typedef complex<double> CMP;
class TwoRegisters { public:
string minProg(int r)
{
int minn = 0x7fffffff;
vector<int> miny;
for(int y=1; y<r; ++y)
{
int n = cnt(r,y);
if( n != -1 )
if( n <= minn ) {
if( n < minn )
miny.clear();
minn = n;
miny.push_back(y);
}
}
string answer;
for(int i=0; i<miny.size(); ++i)
{
int y = miny[i];
string s;
compute(r, y, false, s);
if( i==0 || s < answer )
answer = s;
}
return answer;
}
int cnt(int r, int y)
{
if( y==0 )
return -1;
if( y==1 )
return r-1;
int k = r/y;
int kk = cnt(y, r%y);
if( kk == -1 )
return -1;
return k+kk;
}
void compute(int r, int y, bool isY, string& s)
{
if( y==1 ) {
for(int i=0; i<r-1; ++i)
s += (isY ? 'Y' : 'X');
return;
}
int k = r/y;
compute(y, r%y, !isY, s);
while( k --> 0 )
s += (isY ? 'Y' : 'X');
}
};
// 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 string& Expected, const string& 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(_, TwoRegisters().minProg(r));}
int main(){
CASE(0)
int r = 10;
string _ = "XXYYX";
END
CASE(1)
int r = 3;
string _ = "XX";
END
CASE(2)
int r = 20;
string _ = "XYYYYXX";
END
CASE(3)
int r = 34;
string _ = "XYXYXYX";
END
CASE(4)
int r = 1;
string _ = "";
END
CASE(5)
int r = 1000000;
string _ = "??";
END
CASE(6)
int r = 2;
string _ = "X";
END
CASE(6)
int r = 999999;
string _ = "??";
END
CASE(6)
int r = 999998;
string _ = "??";
END
CASE(6)
int r = 999997;
string _ = "??";
END
CASE(6)
int r = 999996;
string _ = "??";
END
CASE(6)
int r = 999995;
string _ = "??";
END
CASE(6)
int r = 5;
string _ = "??";
END
}
// END CUT HERE