#include <iostream>
#include <vector>
#include <algorithm>
#include <cmath>

// generate pseudo-random numbers (Blum Blum Shub algorithm)
unsigned int next()
{
  static unsigned long long seed = 290797;
  seed *= seed;
  seed %= 50515093;
  return seed % 500;
}

// a 2D point
struct Point
{
  double x, y;

  // needed for std::unique
  bool operator==(const Point& other) const
  {
    return x == other.x && y == other.y;
  }
  // needed for std::sort
  bool operator< (const Point& other) const
  {
    if (x != other.x)
      return x < other.x;
    else
      return y < other.y;
  }
};

// define a segment
struct Segment
{
  Point from, to;
};

// find intersection of two segments, out parameter "where" is only valid if function returns true
bool intersect(const Segment& segment1, const Segment& segment2, Point& where)
{
  // shorter names for the four endpoints
  auto a = segment1.from;
  auto b = segment1.to;
  auto c = segment2.from;
  auto d = segment2.to;

  // store slope in a Point (just because I'm lazy and don't want to introduce another data type)
  Point slope1, slope2;
  slope1.x = b.x - a.x;
  slope1.y = b.y - a.y;
  slope2.x = d.x - c.x;
  slope2.y = d.y - c.y;

  auto determinant = slope1.x * slope2.y - slope2.x * slope1.y;
  // parallel ?
  if (determinant == 0)
    return false;

  // now the lines intersect, but not necessarily the segments
  auto s = (slope1.x * (a.y - c.y) - slope1.y * (a.x - c.x)) / determinant;
  auto t = (slope2.x * (a.y - c.y) - slope2.y * (a.x - c.x)) / determinant;

  // parameters s and t must be in (0 ... 1)
  // borders (=endpoints) are not true intersections according to problem statement
  if (s <= 0 || s >= 1 || t <= 0 || t >= 1)
    return false;

  // yes, intersection found (might be a duplicate, though !)
  where.x = a.x + t * slope1.x;
  where.y = a.y + t * slope1.y;

  // cut off a few digits to avoid rounding issues
  const auto Precision = 0.00000001;
  where.x = round(where.x / Precision) * Precision;
  where.y = round(where.y / Precision) * Precision;

  return true;
}

int main()
{
  std::vector<Segment> segments;
  std::vector<Point>   intersections;

  unsigned int limit = 5000;
  std::cin >> limit;

  for (unsigned int i = 0; i < limit; i++)
  {
    // create "random" segment
    Segment current;
    current.from.x = next();
    current.from.y = next();
    current.to  .x = next();
    current.to  .y = next();

    // try to intersect with all other segments
    Point where;
    for (auto compare : segments)
      if (intersect(current, compare, where))
        intersections.push_back(where);

    // add current segment to list of segments
    segments.push_back(current);
  }

  // eliminate duplicate intersection points
  std::sort(intersections.begin(), intersections.end());
  auto garbage = std::unique(intersections.begin(), intersections.end());
  intersections.erase(garbage, intersections.end());

  // display result
  std::cout << intersections.size() << std::endl;
  return 0;
}
 

C++ Online Compiler

Write, Run & Share C++ code online using OneCompiler's C++ online compiler for free. It's one of the robust, feature-rich online compilers for C++ language, running on the latest version 17. Getting started with the OneCompiler's C++ compiler is simple and pretty fast. The editor shows sample boilerplate code when you choose language as C++ and start coding!

Read inputs from stdin

OneCompiler's C++ online compiler supports stdin and users can give inputs to programs using the STDIN textbox under the I/O tab. Following is a sample program which takes name as input and print your name with hello.

#include <iostream>
#include <string>
using namespace std;

int main() 
{
    string name;
    cout << "Enter name:";
    getline (cin, name);
    cout << "Hello " << name;
    return 0;
}

About C++

C++ is a widely used middle-level programming language.

  • Supports different platforms like Windows, various Linux flavours, MacOS etc
  • C++ supports OOPS concepts like Inheritance, Polymorphism, Encapsulation and Abstraction.
  • Case-sensitive
  • C++ is a compiler based language
  • C++ supports structured programming language
  • C++ provides alot of inbuilt functions and also supports dynamic memory allocation.
  • Like C, C++ also allows you to play with memory using Pointers.

Syntax help

Loops

1. If-Else:

When ever you want to perform a set of operations based on a condition If-Else is used.

if(conditional-expression) {
   //code
}
else {
   //code
}

You can also use if-else for nested Ifs and If-Else-If ladder when multiple conditions are to be performed on a single variable.

2. Switch:

Switch is an alternative to If-Else-If ladder.

switch(conditional-expression){    
case value1:    
 // code    
 break;  // optional  
case value2:    
 // code    
 break;  // optional  
......    
    
default:     
 code to be executed when all the above cases are not matched;    
} 

3. For:

For loop is used to iterate a set of statements based on a condition.

for(Initialization; Condition; Increment/decrement){  
  //code  
} 

4. While:

While is also used to iterate a set of statements based on a condition. Usually while is preferred when number of iterations are not known in advance.

while (condition) {  
// code 
}  

5. Do-While:

Do-while is also used to iterate a set of statements based on a condition. It is mostly used when you need to execute the statements atleast once.

do {  
 // code 
} while (condition); 

Functions

Function is a sub-routine which contains set of statements. Usually functions are written when multiple calls are required to same set of statements which increases re-usuability and modularity. Function gets run only when it is called.

How to declare a Function:

return_type function_name(parameters);

How to call a Function:

function_name (parameters)

How to define a Function:

return_type function_name(parameters) {  
 // code
}