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#include <iostream>
#include <cmath>
#pragma warning (disable:4996)
using namespace std;
//closest pair of points
//so the idea is that i search for the min x coordinate of the bench and the min x coordinate of the lamp, because if i use a for cycle and compare bench[i]
//and lamp[i] there is no point in doing that
//so with this recursive func i find the closest x coordinates and then find the distance and say if the lamp lights the bench or not
void does_the_lapm_light_the_bench( int* array_x_benches, int* array_y_benches, int* array_x_lamps, int* array_y_lamps,
int* array_radius_lamps,int number_benches,int number_lamps)
{
if (number_benches > 0 && number_lamps > 0) {
int min_x_benches = array_x_benches[0];
int index_min_x_benches = 0;
for (size_t i = 0; i < number_benches; i++)
{
if (array_x_benches[i] <= min_x_benches)
{
min_x_benches = array_x_benches[i];
index_min_x_benches = i;
}
}
int min_x_lamps = array_x_lamps[0];
int index_min_x_lamps = 0;
for (size_t i = 0; i < number_lamps; i++)
{
if (array_x_lamps[i] <= min_x_lamps)
{
min_x_lamps = array_x_lamps[i];
index_min_x_lamps = i;
}
}
int distance = 0;
distance = sqrt(((array_x_benches[index_min_x_benches] - array_x_lamps[index_min_x_lamps]) *
(array_x_benches[index_min_x_benches] - array_x_lamps[index_min_x_lamps])) +
(array_y_benches[index_min_x_benches] - array_y_lamps[index_min_x_lamps]) *
(array_y_benches[index_min_x_benches] - array_y_lamps[index_min_x_lamps]));
if (distance > array_radius_lamps[index_min_x_lamps] || distance == array_radius_lamps[index_min_x_lamps])
{
cout << "The lamp does not light the bench" << endl;
cout << "The distance between the bench and the lamp is: " << distance << endl;
cout << "The bench is with coodinates: (" << array_x_benches[index_min_x_benches] << ", " << array_y_benches[index_min_x_benches] << ")" << endl;
cout << "The lamp is with coordinates: (" << array_x_lamps[index_min_x_lamps] << ", " << array_y_lamps[index_min_x_lamps] << "), the radius is: " <<
array_radius_lamps[index_min_x_lamps] << endl;
cout << endl;
}
else if (distance < array_radius_lamps[index_min_x_lamps] || (array_x_benches[index_min_x_benches] == array_x_lamps[index_min_x_lamps] &&
array_y_benches[index_min_x_benches] == array_y_lamps[index_min_x_lamps]))
{
cout << "The lamp lights the bench" << endl;
cout << "The distance between the bench and the lamp is: " << distance << endl;
cout << "The bench is with coodinates: (" << array_x_benches[index_min_x_benches] << ", " << array_y_benches[index_min_x_benches] << ")" << endl;
cout << "The lamp is with coordinates: (" << array_x_lamps[index_min_x_lamps] << ", " << array_y_lamps[index_min_x_lamps] << "), the radius is: " <<
array_radius_lamps[index_min_x_lamps] << endl;
cout << endl;
}
}
return does_the_lapm_light_the_bench(array_x_benches + 1, array_y_benches + 1, array_x_lamps + 1, array_y_lamps + 1, array_radius_lamps + 1, number_benches - 1,
number_lamps - 1);
}
void remove_useless_lamps(int* array_x_benches, int* array_y_benches, int* array_x_lamps, int* array_y_lamps, int* array_radius_lamps,
int number_benches, int number_lamps)
{
//we do the same thing but now the radius is the same for all the lamps
//the radius is the min radius of all of the lamps
//if the lamp does not light the bench we remove it
if (number_benches > 0 && number_lamps > 0) {
int min_x_benches = array_x_benches[0];
int index_min_x_benches = 0;
for (size_t i = 0; i < number_benches; i++)
{
if (array_x_benches[i] <= min_x_benches)
{
min_x_benches = array_x_benches[i];
index_min_x_benches = i;
}
}
int min_x_lamps = array_x_lamps[0];
int index_min_x_lamps = 0;
for (size_t i = 0; i < number_lamps; i++)
{
if (array_x_lamps[i] <= min_x_lamps)
{
min_x_lamps = array_x_lamps[i];
index_min_x_lamps = i;
}
}
int distance = 0;
distance = sqrt(((array_x_benches[index_min_x_benches] - array_x_lamps[index_min_x_lamps]) *
(array_x_benches[index_min_x_benches] - array_x_lamps[index_min_x_lamps])) +
(array_y_benches[index_min_x_benches] - array_y_lamps[index_min_x_lamps]) *
(array_y_benches[index_min_x_benches] - array_y_lamps[index_min_x_lamps]));
//checking which is the min radius
int min = array_radius_lamps[0];
for (size_t i = 0; i < number_lamps; i++)
{
if (array_radius_lamps[i] <= min)
{
min = array_radius_lamps[i];
}
}
if (distance > min || distance == min)
{
cout << "The lamp does not light the bench" << endl;
cout << "The distance between the bench and the lamp is: " << distance << endl;
cout << "The bench is with coodinates: (" << array_x_benches[index_min_x_benches] << ", " << array_y_benches[index_min_x_benches] << ")" << endl;
cout << "The lamp is with coordinates: (" << array_x_lamps[index_min_x_lamps] << ", " << array_y_lamps[index_min_x_lamps] << "), the radius is: " <<
array_radius_lamps[index_min_x_lamps] << endl;
cout << endl;
cout << "Removing the bench. " << endl;
swap(array_x_lamps[index_min_x_lamps], array_x_lamps[number_lamps]);
--number_lamps;
}
else if (distance < min || (array_x_benches[index_min_x_benches] == array_x_lamps[index_min_x_lamps] &&
array_y_benches[index_min_x_benches] == array_y_lamps[index_min_x_lamps]))
{
cout << "The lamp lights the bench" << endl;
cout << "The distance between the bench and the lamp is: " << distance << endl;
cout << "The bench is with coodinates: (" << array_x_benches[index_min_x_benches] << ", " << array_y_benches[index_min_x_benches] << ")" << endl;
cout << "The lamp is with coordinates: (" << array_x_lamps[index_min_x_lamps] << ", " << array_y_lamps[index_min_x_lamps] << "), the radius is: " <<
array_radius_lamps[index_min_x_lamps] << endl;
cout << endl;
}
return does_the_lapm_light_the_bench(array_x_benches + 1, array_y_benches + 1, array_x_lamps + 1, array_y_lamps + 1, array_radius_lamps + 1,
number_benches - 1, number_lamps - 1);
}
}
int main()
{
unsigned int number_benches = 0;
cout << "Please enter a valid number of benches: " << endl;
cin >> number_benches;
unsigned int number_lamps = 0;
cout << "Please enter a valid number of lamps: " << endl;
cin >> number_lamps;
//in an array we save the x and y coordinates
int* array_x_benches;
int* array_y_benches;
//in an array we save the x and y coordinates and then the radius
int* array_x_lamps;
int* array_y_lamps;
int* array_radius_lamps;
array_x_benches = new(nothrow)int[number_benches];
array_y_benches = new(nothrow)int[number_benches];
array_x_lamps = new(nothrow)int[number_lamps];
array_y_lamps = new(nothrow)int[number_lamps];
array_radius_lamps = new(nothrow)int[number_lamps];
cout << "Please enter all the x and y coordintes of the benches:/enter x then y/ " << endl;
for (size_t i = 0; i < number_benches; i++)
{
cin >> array_x_benches[i];
cin >> array_y_benches[i];
}
cout << "Please enter all the x and y coordinates and the radius of the lamp:/enter x, then y, then the raidus/ " << endl;
for (size_t i = 0; i < number_lamps; i++)
{
cin >> array_x_lamps[i];
cin >> array_y_lamps[i];
cin >> array_radius_lamps[i];
}
does_the_lapm_light_the_bench(array_x_benches, array_y_benches, array_x_lamps, array_y_lamps, array_radius_lamps, number_benches, number_lamps);
remove_useless_lamps(array_x_benches, array_y_benches, array_x_lamps, array_y_lamps, array_radius_lamps, number_benches, number_lamps);
cout << endl;
cout << "The number of the left lamps is: " << number_lamps << endl;
delete[]array_x_benches;
delete[]array_y_benches;
delete[]array_x_lamps;
delete[]array_y_lamps;
delete[]array_radius_lamps;
return 0;
}
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