title: How To Check If A Given Array Represents A Binary Heap
signature: fun howToCheckIfAGivenArrayRepresentsABinaryHeap(arr: ArrayList<Int>, i: Int, n: Int): Boolean {
source_py: def how_to_check_if_a_given_array_represents_a_binary_heap(arr, i, n):
      if (i > int(((n - 2) / 2))):
          return True
      if ((arr[i] >= arr[((2 * i) + 1)]) and (arr[i] >= arr[((2 * i) + 2)]) and how_to_check_if_a_given_array_represents_a_binary_heap(arr, ((2 * i) + 1), n) and how_to_check_if_a_given_array_represents_a_binary_heap(arr, ((2 * i) + 2), n)):
          return True
      return False
source_cpp: bool how_to_check_if_a_given_array_represents_a_binary_heap(vector<int> arr, int i, int n) {
    if ( i > ( n - 2 ) / 2 ) return true;
    if ( arr [ i ] >= arr [ 2 * i + 1 ] && arr [ i ] >= arr [ 2 * i + 2 ] && how_to_check_if_a_given_array_represents_a_binary_heap ( arr, 2 * i + 1, n ) && how_to_check_if_a_given_array_represents_a_binary_heap ( arr, 2 * i + 2, n ) ) return true;
    return false;
  }
question_info.test_list: [{"idx": 0, "outputs": false, "inputs": {"arr": [1, 2, 3, 5, 24, 24, 25, 25, 36, 37, 37, 39, 42, 44, 46, 50, 51, 54, 56, 60, 62, 70, 71, 73, 75, 80, 80, 85, 86, 89, 91, 95, 99], "i": 0, "n": 18}}, {"idx": 1, "outputs": false, "inputs": {"arr": [-44, -58, 88, -42, 42, -14, -44, 42, 64, 94, -46, -70, 34, -10, -46, -52, -6, -78, 64, 56, 74, 98, -34, -4, -92, 6, -52, -20, 78, -72, -40], "i": 0, "n": 27}}, {"idx": 2, "outputs": false, "inputs": {"arr": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], "i": 0, "n": 20}}, {"idx": 3, "outputs": false, "inputs": {"arr": [10, 2, 1, 34, 21, 37, 49, 31, 70, 97, 87, 50, 76, 55], "i": 0, "n": 8}}, {"idx": 4, "outputs": false, "inputs": {"arr": [-94, -84, -82, -66, -64, -62, -56, -38, -24, -24, -4, 2, 4, 4, 8, 14, 16, 20, 30, 34, 34, 48, 58, 58, 70, 76, 78, 86, 88, 96, 98], "i": 0, "n": 26}}, {"idx": 5, "outputs": true, "inputs": {"arr": [1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0], "i": 12, "n": 11}}, {"idx": 6, "outputs": false, "inputs": {"arr": [5, 20, 30, 5, 10, 21, 5], "i": 0, "n": 7}}, {"idx": 7, "outputs": true, "inputs": {"arr": [50, 20, 30, 5, 10, 21, 5], "i": 0, "n": 7}}, {"idx": 8, "outputs": true, "inputs": {"arr": [50, 20, 30, 5, 10, 21, 5], "i": 2, "n": 7}}, {"idx": 9, "outputs": true, "inputs": {"arr": [50, 20, 30, 5, 10, 21, 5], "i": 4, "n": 7}}]
question_info.extension: kts
question_info.test_code: package main
  
  import kotlin.text.*
  import kotlin.math.*
  
  
  // SOLUTION CODE
  // ===================================
  PLACEHOLDER_CODE_BODY
  
  // TESTING CODE
  // ===================================
  fun validateSolution(actual:Boolean, expected:Boolean):Boolean{
    return actual.equals(expected)
  }
  fun driver(arr: ArrayList<Int>, i: Int, n: Int, expected:Boolean):String {
      try{
        if (validateSolution(PLACEHOLDER_FN_NAME(arr, i, n), expected)) {
                return "PASSED"
        }
        return "FAILED"
      } catch (e: Exception){
        return e::class.simpleName as String
      }
  
  }
  
  fun main() {
      var result: String = ""
      result = driver(arrayListOf(1, 2, 3, 5, 24, 24, 25, 25, 36, 37, 37, 39, 42, 44, 46, 50, 51, 54, 56, 60, 62, 70, 71, 73, 75, 80, 80, 85, 86, 89, 91, 95, 99), 0, 18, false)
      println("TEST-0...${result}")
      
      result = driver(arrayListOf(-44, -58, 88, -42, 42, -14, -44, 42, 64, 94, -46, -70, 34, -10, -46, -52, -6, -78, 64, 56, 74, 98, -34, -4, -92, 6, -52, -20, 78, -72, -40), 0, 27, false)
      println("TEST-1...${result}")
      
      result = driver(arrayListOf(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1), 0, 20, false)
      println("TEST-2...${result}")
      
      result = driver(arrayListOf(10, 2, 1, 34, 21, 37, 49, 31, 70, 97, 87, 50, 76, 55), 0, 8, false)
      println("TEST-3...${result}")
      
      result = driver(arrayListOf(-94, -84, -82, -66, -64, -62, -56, -38, -24, -24, -4, 2, 4, 4, 8, 14, 16, 20, 30, 34, 34, 48, 58, 58, 70, 76, 78, 86, 88, 96, 98), 0, 26, false)
      println("TEST-4...${result}")
      
      result = driver(arrayListOf(1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0), 12, 11, true)
      println("TEST-5...${result}")
      
      result = driver(arrayListOf(5, 20, 30, 5, 10, 21, 5), 0, 7, false)
      println("TEST-6...${result}")
      
      result = driver(arrayListOf(50, 20, 30, 5, 10, 21, 5), 0, 7, true)
      println("TEST-7...${result}")
      
      result = driver(arrayListOf(50, 20, 30, 5, 10, 21, 5), 2, 7, true)
      println("TEST-8...${result}")
      
      result = driver(arrayListOf(50, 20, 30, 5, 10, 21, 5), 4, 7, true)
      println("TEST-9...${result}")
      
          
  }
  
  main()
question_info.entry_fn_name: howToCheckIfAGivenArrayRepresentsABinaryHeap
question_info.entry_cls_name: Solution
question_info.test_case_ids: 0 1 2 3 4 5 6 7 8 9
question_info.commands: kotlinc -script __FILENAME__ -no-reflect -nowarn