title: Pair With Given Product Set 1 Find If Any Pair Exists 1
signature: def pair_with_given_product_set_1_find_if_any_pair_exists_1(arr, n, x):
source_py: def pair_with_given_product_set_1_find_if_any_pair_exists_1(arr, n, x):
      if (n < 2):
          return False
      s = set()
      for i in range(0, n):
          if (arr[i] == 0):
              if (x == 0):
                  return True
              else:
                  continue
          if ((x % arr[i]) == 0):
              if ((x // arr[i]) in s):
                  return True
              s.add(arr[i])
      return False
source_cpp: bool pair_with_given_product_set_1_find_if_any_pair_exists_1(vector<int> arr, int n, int x) {
    if ( n < 2 ) return false;
    unordered_set < int > s;
    for ( int i = 0;
    i < n;
    i ++ ) {
      if ( arr [ i ] == 0 ) {
        if ( x == 0 ) return true;
        else continue;
      }
      if ( x % arr [ i ] == 0 ) {
        if ( s . find ( x / arr [ i ] ) != s . end ( ) ) return true;
        s . insert ( arr [ i ] );
      }
    }
    return false;
  }
question_info.test_code: import array
  import bisect
  import collections
  import datetime
  import functools
  import heapq
  import itertools
  import math
  import queue
  import re
  import string
  import sys
  from typing import Any, Dict, List, Optional, Set
  
  
  # SOLUTION CODE
  # ============================================
  PLACEHOLDER_CODE_BODY
  
  # TESTING CODE 
  # ============================================
  def validate_solution(actual, expected):
      return actual == expected
  
  def driver(arr, n, x, expected):
      try:
          if validate_solution(PLACEHOLDER_FN_NAME(
              arr, n, x),
              expected
          ):
              return "PASSED"
          return "FAILED"
      except Exception as exception_obj:
          return type(exception_obj).__name__
      
  if __name__ == "__main__":
      result = driver([1, 2, 3, 7, 23, 23, 25, 27, 37, 42, 53, 56, 58, 61, 69, 78, 79, 84, 85, 86, 90, 93, 95], 15, 17, False)
      print(f"TEST-0...{result}")
  
      result = driver([-10, -18, 88, -36, 78, 66, -70, -34, -88, -98, -70, -4, -94, -92, -76, -78, -30, -48, -72, 86, -64, 38, -80, 20, 70, -32, -90, 74, -78, 12, -54, 88, 38, -96, 28], 17, 22, False)
      print(f"TEST-1...{result}")
  
      result = driver([0, 0, 0, 0, 0, 0, 0, 0, 1, 1], 9, 5, False)
      print(f"TEST-2...{result}")
  
      result = driver([83, 61, 55, 89, 16, 78, 44, 54, 22, 49, 58, 62, 53, 99, 35, 83, 29, 19, 96, 39, 60, 6, 34, 67, 43, 29, 46, 3, 81, 78, 80, 39, 86, 78, 21], 23, 27, False)
      print(f"TEST-3...{result}")
  
      result = driver([-96, -88, -80, -62, -58, -56, -54, -52, -34, -20, -6, -2, 6, 20, 52, 54, 70, 72, 80, 82, 94], 18, 12, True)
      print(f"TEST-4...{result}")
  
      result = driver([0, 1, 1, 0, 0, 1, 1, 1], 4, 6, False)
      print(f"TEST-5...{result}")
  
      result = driver([8, 11, 11, 20, 22, 23, 26, 27, 31, 38, 40, 40, 45, 46, 46, 48, 50, 61, 73, 76, 78, 78, 79, 80, 81, 84, 90, 91, 93, 95], 24, 28, False)
      print(f"TEST-6...{result}")
  
      result = driver([18], 0, 0, False)
      print(f"TEST-7...{result}")
  
      result = driver([0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1], 37, 39, False)
      print(f"TEST-8...{result}")
  
      result = driver([19, 37, 47, 40, 72, 59, 51, 53, 92, 3, 21, 81, 29, 48, 97, 59, 10, 74, 11, 37, 49, 95, 88, 85, 6, 26, 76, 33], 22, 21, False)
      print(f"TEST-9...{result}")
  
      sys.exit(0)
question_info.test_case_ids: ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9']
question_info.entry_fn_name: pair_with_given_product_set_1_find_if_any_pair_exists_1
question_info.test_list: [{"idx": 0, "outputs": false, "inputs": {"arr": [1, 2, 3, 7, 23, 23, 25, 27, 37, 42, 53, 56, 58, 61, 69, 78, 79, 84, 85, 86, 90, 93, 95], "n": 15, "x": 17}}, {"idx": 1, "outputs": false, "inputs": {"arr": [-10, -18, 88, -36, 78, 66, -70, -34, -88, -98, -70, -4, -94, -92, -76, -78, -30, -48, -72, 86, -64, 38, -80, 20, 70, -32, -90, 74, -78, 12, -54, 88, 38, -96, 28], "n": 17, "x": 22}}, {"idx": 2, "outputs": false, "inputs": {"arr": [0, 0, 0, 0, 0, 0, 0, 0, 1, 1], "n": 9, "x": 5}}, {"idx": 3, "outputs": false, "inputs": {"arr": [83, 61, 55, 89, 16, 78, 44, 54, 22, 49, 58, 62, 53, 99, 35, 83, 29, 19, 96, 39, 60, 6, 34, 67, 43, 29, 46, 3, 81, 78, 80, 39, 86, 78, 21], "n": 23, "x": 27}}, {"idx": 4, "outputs": true, "inputs": {"arr": [-96, -88, -80, -62, -58, -56, -54, -52, -34, -20, -6, -2, 6, 20, 52, 54, 70, 72, 80, 82, 94], "n": 18, "x": 12}}, {"idx": 5, "outputs": false, "inputs": {"arr": [0, 1, 1, 0, 0, 1, 1, 1], "n": 4, "x": 6}}, {"idx": 6, "outputs": false, "inputs": {"arr": [8, 11, 11, 20, 22, 23, 26, 27, 31, 38, 40, 40, 45, 46, 46, 48, 50, 61, 73, 76, 78, 78, 79, 80, 81, 84, 90, 91, 93, 95], "n": 24, "x": 28}}, {"idx": 7, "outputs": false, "inputs": {"arr": [18], "n": 0, "x": 0}}, {"idx": 8, "outputs": false, "inputs": {"arr": [0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1], "n": 37, "x": 39}}, {"idx": 9, "outputs": false, "inputs": {"arr": [19, 37, 47, 40, 72, 59, 51, 53, 92, 3, 21, 81, 29, 48, 97, 59, 10, 74, 11, 37, 49, 95, 88, 85, 6, 26, 76, 33], "n": 22, "x": 21}}]
question_info.entry_cls_name: Solution