title: Count Distinct Non Negative Pairs X Y Satisfy Inequality Xx Yy N 2 1
signature: class Solution {
  
      public Integer countDistinctNonNegativePairsXYSatisfyInequalityXxYyN21(Integer n) {
source_py: def count_distinct_non_negative_pairs_x_y_satisfy_inequality_xx_yy_n_2_1(n):
      x = 0
      res = 0
      yCount = 0
      while ((yCount * yCount) < n):
          yCount = (yCount + 1)
      while (yCount != 0):
          res = (res + yCount)
          x = (x + 1)
          while ((yCount != 0) and (((x * x) + ((yCount - 1) * (yCount - 1))) >= n)):
              yCount = (yCount - 1)
      return res
source_cpp: int count_distinct_non_negative_pairs_x_y_satisfy_inequality_xx_yy_n_2_1(int n) {
    int x = 0, yCount, res = 0;
    for ( yCount = 0;
    yCount * yCount < n;
    yCount ++ );
    while ( yCount != 0 ) {
      res += yCount;
      x ++;
      while ( yCount != 0 && ( x * x + ( yCount - 1 ) * ( yCount - 1 ) >= n ) ) yCount --;
    }
    return res;
  }
question_info.extension: java
question_info.entry_fn_name: countDistinctNonNegativePairsXYSatisfyInequalityXxYyN21
question_info.entry_cls_name: Solution
question_info.test_list: [{"idx": 0, "outputs": 64, "inputs": {"n": 72}}, {"idx": 1, "outputs": 69, "inputs": {"n": 75}}, {"idx": 2, "outputs": 83, "inputs": {"n": 92}}, {"idx": 3, "outputs": 30, "inputs": {"n": 30}}, {"idx": 4, "outputs": 41, "inputs": {"n": 45}}, {"idx": 5, "outputs": 37, "inputs": {"n": 40}}, {"idx": 6, "outputs": 71, "inputs": {"n": 81}}, {"idx": 7, "outputs": 17, "inputs": {"n": 17}}, {"idx": 8, "outputs": 71, "inputs": {"n": 81}}, {"idx": 9, "outputs": 86, "inputs": {"n": 99}}]
question_info.test_code: import static java.util.Map.entry;  
  import java.util.*;
  import java.lang.*;
  // TESTING CODE 
  // ============================================
  class QuestionEvaluator {
      public static String validateSolution(Integer n, Integer expected){
          try{
              Driver driver = new Driver();
              if (driver.run(n,expected)){
                  return "PASSED";
              }
              return "FAILED";
              
          } catch (Exception exception_obj){
              return exception_obj.getClass().getSimpleName();
          }
  
      }
      public static void main(String[] args) {
          String result;
          result = validateSolution(72, 64);
          System.out.println(String.format("%s%s","TEST-0...",result));    
      
          result = validateSolution(75, 69);
          System.out.println(String.format("%s%s","TEST-1...",result));    
      
          result = validateSolution(92, 83);
          System.out.println(String.format("%s%s","TEST-2...",result));    
      
          result = validateSolution(30, 30);
          System.out.println(String.format("%s%s","TEST-3...",result));    
      
          result = validateSolution(45, 41);
          System.out.println(String.format("%s%s","TEST-4...",result));    
      
          result = validateSolution(40, 37);
          System.out.println(String.format("%s%s","TEST-5...",result));    
      
          result = validateSolution(81, 71);
          System.out.println(String.format("%s%s","TEST-6...",result));    
      
          result = validateSolution(17, 17);
          System.out.println(String.format("%s%s","TEST-7...",result));    
      
          result = validateSolution(81, 71);
          System.out.println(String.format("%s%s","TEST-8...",result));    
      
          result = validateSolution(99, 86);
          System.out.println(String.format("%s%s","TEST-9...",result));    
      
      }
  }
  
  class Driver{
      public boolean run(Integer n, Integer expected){
  
          PLACEHOLDER_CLS_NAME sol = new PLACEHOLDER_CLS_NAME();
          return validateSolution(sol.PLACEHOLDER_FN_NAME(n),expected);
      }
      
      public boolean validateSolution(Integer actual, Integer expected){
          return actual.equals(expected);
      }
  }
  
  
  // SOLUTION CODE
  // ============================================
  PLACEHOLDER_CODE_BODY
question_info.test_case_ids: 0 1 2 3 4 5 6 7 8 9
question_info.commands: java __FILENAME__