The Weekly Challenge - 352

pwc-352.md

The Weekly Challenge - 352

Early Bird Club members ONLY

Task 1: Match String

Submitted by: Mohammad Sajid Anwar

You are given an array of strings.

Write a script to return all strings that are a substring of another word in the given array in the order they occur.

Example 1

Input: @words = ("cat", "cats", "dog", "dogcat", "dogcat", "rat", "ratcatdogcat")
Output: ("cat", "dog", "dogcat", "rat")

Example 2

Input: @words = ("hello", "hell", "world", "wor", "ellow", "elloworld")
Output: ("hell", "world", "wor", "ellow")

Example 3

Input: @words = ("a", "aa", "aaa", "aaaa")
Output: ("a", "aa", "aaa")

Example 4

Input: @words = ("flower", "flow", "flight", "fl", "fli", "ig", "ght")
Output: ("flow", "fl", "fli", "ig", "ght")

Example 5

Input: @words = ("car", "carpet", "carpenter", "pet", "enter", "pen", "pent")
Output: ("car", "pet", "enter", "pen", "pent")

Task 2: Binary Prefix

Submitted by: Mohammad Sajid Anwar

You are given an array, @nums, where each element is either 0 or 1.

Define x_i as the number formed by taking the first i+1 bits of @nums (from $nums[0] to $nums[i]) and interpreting them as a binary number, with $nums[0] being the most significant bit.

For example:

If @nums = (1, 0, 1), then:

x0 = 1 (binary 1)
x1 = 2 (binary 10)
x2 = 5 (binary 101)

For each i, check whether xi is divisible by 5.

Write a script to return an array @answer where $answer[i] is true if x<sub>i</sub> is divisible by 5, otherwise false.

Example 1

Input: @nums = (0,1,1,0,0,1,0,1,1,1)
Output: (true, false, false, false, false, true, true, false, false, false)

Binary numbers formed (decimal values):
         0: 0
        01: 1
       011: 3
      0110: 6
     01100: 12
    011001: 25
   0110010: 50
  01100101: 101
 011001011: 203
0110010111: 407

Example 2

Input: @num = (1,0,1,0,1,0)
Output: (false, false, true, true, false, false)

     1: 1
    10: 2
   101: 5
  1010: 10
 10101: 21
101010: 42

Example 3

Input: @num = (0,0,1,0,1)
Output: (true, true, false, false, true)

    0: 0
   00: 0
  001: 1
 0010: 2
00101: 5

Example 4

Input: @num = (1,1,1,1,1)
Output: (false, false, false, true, false)

    1: 1
   11: 3
  111: 7
 1111: 15
11111: 31

Example 5

Input: @num = (1,0,1,1,0,1,0,0,1,1)
Output: (false, false, true, false, false, true, true, true, false, false)

         1: 1
        10: 2
       101: 5
      1011: 11
     10110: 22
    101101: 45
   1011010: 90
  10110100: 180
 101101001: 361
1011010011: 723

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Last date to submit the solution 23:59 (UK Time) Sunday 21^st December 2025.

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