There are N given points (numbered from 0 to N-1) on a plane. The K-th point is located at coordinates (X[K], Y[K]) and its tag is S[K]. We want to draw a circle centered on coordinates (0, 0). The circle should not contain two points with the same tag. What is the maximum number of points that can lie inside the circle?

Step-by-step explanation:

/ C++ Solution /

#include <iostream>

#include <string>

#include <cmath>

#include <algorithm>

#include <vector>

#include <climits>

using namespace std;

int solution(string &S, vector<int> & X, vector<int> & Y)

{  

   vector<char> tags;

   vector<int> tagsDis;

   int sameTagDis = 0;

   int noOfPoints = 0;

   int maxDis = INT_MIN;

   size_t N = X.size();

   vector<char> ::iterator itr;

   for(size_t i = 0; i < S.length() ; i++) {

       int tmp = 0;

       if(tags.size() == 0) {

           tags.push_back(S.at(i));

           tmp = sqrt((X[i] * X[i]) + (Y[i] * Y[i]));

           tagsDis.push_back(tmp);

           noOfPoints++;

       } else {

           itr = std::find(tags.begin(), tags.end(), S.at(i));          

           if (itr != tags.end()) {

               int idx = std::distance(tags.begin(), itr);

               tmp = sqrt((X[i] * X[i]) + (Y[i] * Y[i]));

               tmp = std::max(tmp, tagsDis[idx]);

               maxDis = std::max(maxDis, tmp);

               tagsDis.push_back(tmp);

           } else {

               int tmpDis = sqrt((X[i] * X[i]) + (Y[i] * Y[i]));

               tags.push_back(S.at(i));

               noOfPoints++;

           }

       }

   }

   noOfPoints = 0;

   for(size_t i = 0; i < N; i++) {

       int tmpDis = sqrt((X[i] * X[i]) + (Y[i] * Y[i]));

       if(maxDis > tmpDis) {

           noOfPoints++;

       }

   }

   return noOfPoints;

}

int main()

{

 /*string S("ABDCA");

 vector <int> X {2, -1,-4, -3, 3};

 vector <int> Y {2, -2, 4, 1, -3};*/

 /*string S("ABB");

 vector <int> X {1, -2, 2};

 vector <int> Y {1, -2, 2};*/

 string S("ABDCAD");

 vector <int> X {2, -1,-4, -3, 3, 2};

 vector <int> Y {2, -2, 4, 1, -3, 2};

 int N = solution(S, X, Y);

 cout << "N : " <<  N << "\n";

}

//

Better solution will be appriciated.

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: