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rational-number-tree.cpp
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rational-number-tree.cpp
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#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <bits/stdc++.h>
using namespace std;
/*------------ Defines -----------*/
#define DEBUG 0
/*------- Types definition -------*/
typedef long long LONG;
static void Dbg(const string& msg) { if ( DEBUG ) { cerr << msg << endl; } }
struct Rational
{
LONG x, y;
Rational(LONG px=1, LONG py=1):
x(px), y(py)
{}
Rational(string& s)
{
auto pos = s.find('/');
if ( pos != string::npos )
{
x = stoll(s, &pos , 0);
s = s.substr(pos+1);
y = stoll(s, &pos, 0);
Rational::simplify(this);
Dbg("String in the form a/q");
printDbg();
toDirections();
}
else
{
x = 1;
y = 1;
Rational Pl(0,1), Pr(1,0);
// TODO - convertir à la volée
for( const auto& c : s )
{
if ( c == 'R' )
{
Pl = *this;
*this += Pr;
}
else
{
Pr = *this;
*this += Pl;
}
Rational::simplify(this);
}
toString();
}
}
Rational& operator=(const Rational& r)
{
x = r.x;
y = r.y;
return *this;
}
Rational& operator+=(const Rational& r)
{
x += r.x;
y += r.y;
return *this;
}
bool operator==(const Rational& r)
{
return (r.x == x && r.y == y);
}
bool operator!=(const Rational& r)
{
return !(*this == r);
}
bool operator>(const Rational& r)
{
LONG l_y1 = (y == 0) ? 1 : y ;
LONG l_y2 = (r.y == 0) ? 1 : r.y;
return ( static_cast<double>(x)/l_y1 > static_cast<double>(r.x)/l_y2 );
}
static void simplify(Rational* r)
{
if ( r == nullptr ) { return; }
auto d = __gcd(r->x, r->y);
r->x /= d;
r->y /= d;
}
void printDbg(void) const { if ( DEBUG ) { cerr << x << "/" << y << endl; } }
void toString(void) const { cout << x << "/" << y << endl; }
void toDirections(void)
{
string res = "";
Rational Pl(0,1), Pr(1,0), Pc(1,1);
while ( *this != Pc )
{
if ( *this > Pc )
{
Pl = Pc;
Pc += Pr;
res += "R";
}
else
{
Pr = Pc;
Pc += Pl;
res += "L";
}
Rational::simplify(&Pc);
}
cout << res << endl;
}
};
int main()
{
string line;
int tests;
cin >> tests; cin.ignore();
for (int i = 0; i < tests; i++)
{
getline(cin, line);
Rational r(line);
}
}