title: Lower Insertion Point
signature: class Solution {
  
      public int LowerInsertionPoint(List<int> arr, int n, int x) {
test_code: using System;
  using System.Numerics;
  using System.Diagnostics;
  using System.Collections.Generic;
  using System.Linq;
  using System.Text;
  using System.Security.Cryptography;
  using System.Web.UI;
  using System.Web.Script.Serialization;
  
  // SOLUTION CODE
  // ============================================
  PLACEHOLDER_CODE_BODY
  
  // TESTING CODE 
  // ============================================
  namespace EvaluatePrediction {
      class TestRunner {
          public bool ValidateSolution(int actual, int expected){
              return new JavaScriptSerializer().Serialize(actual) == new JavaScriptSerializer().Serialize(expected);
          }
  
          public string driver(List<int> arr, int n, int x, int expected){
              try{
                PLACEHOLDER_CLS_NAME solution_cls = new PLACEHOLDER_CLS_NAME();
                int pred_result = solution_cls.PLACEHOLDER_FN_NAME(arr, n, x); 
                if (ValidateSolution(
                      pred_result,
                      expected)){
                  return "PASSED";
                }
                return "FAILED";
              } 
              catch (Exception exception_obj)
              {
                return exception_obj.GetType().FullName;
              }
          }
          static void Main(string[] args) {
              TestRunner runner = new TestRunner();
              String result;
              result = runner.driver(
                  new List<int>{1, 2, 5, 5, 16, 16, 20, 26, 32, 35, 39, 39, 41, 44, 48, 48, 51, 59, 59, 62, 66, 66, 70, 74, 75, 78, 80, 86, 86, 96}, 17, 29, 
                  8
              );
              Console.WriteLine(string.Format(
                  "TEST-0...{0}",
                  result)
              );result = runner.driver(
                  new List<int>{-76, 80, -6, -2, 50, 72, 84, -56, 70, 8, 48, 6, -24, -50, -72}, 14, 9, 
                  14
              );
              Console.WriteLine(string.Format(
                  "TEST-1...{0}",
                  result)
              );result = runner.driver(
                  new List<int>{0, 0, 0, 0, 0, 1, 1, 1, 1}, 8, 4, 
                  8
              );
              Console.WriteLine(string.Format(
                  "TEST-2...{0}",
                  result)
              );result = runner.driver(
                  new List<int>{74, 65, 84, 71}, 2, 3, 
                  0
              );
              Console.WriteLine(string.Format(
                  "TEST-3...{0}",
                  result)
              );result = runner.driver(
                  new List<int>{-96, -92, -90, -86, -84, -76, -76, -62, -58, -54, -50, -50, -44, -42, -38, -34, -14, -8, 6, 12, 24, 38, 40, 50, 62, 84, 86, 92}, 19, 19, 
                  19
              );
              Console.WriteLine(string.Format(
                  "TEST-4...{0}",
                  result)
              );result = runner.driver(
                  new List<int>{1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1}, 12, 17, 
                  12
              );
              Console.WriteLine(string.Format(
                  "TEST-5...{0}",
                  result)
              );result = runner.driver(
                  new List<int>{6, 10, 14, 14, 16, 19, 23, 23, 25, 26, 29, 34, 42, 42, 43, 45, 47, 49, 50, 51, 51, 56, 59, 65, 69, 72, 75, 78, 79, 80, 82, 82, 82, 84, 85, 91, 98}, 31, 24, 
                  8
              );
              Console.WriteLine(string.Format(
                  "TEST-6...{0}",
                  result)
              );result = runner.driver(
                  new List<int>{-90, -2, 22, -2, 58, -2, 96, 38, 36, -66, -98, 22, -80, -32, 22, 0, -34, -16, 82, 76, 12, 84, 66, 8, 32, 18, -98, -10}, 22, 16, 
                  2
              );
              Console.WriteLine(string.Format(
                  "TEST-7...{0}",
                  result)
              );result = runner.driver(
                  new List<int>{0, 0, 0, 1, 1, 1, 1}, 3, 5, 
                  3
              );
              Console.WriteLine(string.Format(
                  "TEST-8...{0}",
                  result)
              );result = runner.driver(
                  new List<int>{85, 59, 22, 52, 93, 14, 42, 71, 69, 15, 52, 78, 35, 61, 92, 90, 70, 48, 47, 72, 74, 46, 22, 74, 83, 32, 14, 24, 18, 27, 18, 68, 29, 31}, 19, 33, 
                  0
              );
              Console.WriteLine(string.Format(
                  "TEST-9...{0}",
                  result)
              );
          }
      }
  }
  
source_py: def lower_insertion_point(arr, n, X):
      if (X < arr[0]):
          return 0
      elif (X > arr[(n - 1)]):
          return n
      lowerPnt = 0
      i = 1
      while ((i < n) and (arr[i] < X)):
          lowerPnt = i
          i = (i * 2)
      while ((lowerPnt < n) and (arr[lowerPnt] < X)):
          lowerPnt += 1
      return lowerPnt
source_cpp: int lower_insertion_point(vector<int> arr, int n, int X) {
    if ( X < arr [ 0 ] ) return 0;
    else if ( X > arr [ n - 1 ] ) return n;
    int lowerPnt = 0;
    int i = 1;
    while ( i < n && arr [ i ] < X ) {
      lowerPnt = i;
      i = i * 2;
    }
    while ( lowerPnt < n && arr [ lowerPnt ] < X ) lowerPnt ++;
    return lowerPnt;
  }