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# [Between Two Sets](https://www.hackerrank.com/challenges/between-two-sets) | ||
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- Difficulty: #easy | ||
- Category: #implementation | ||
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There will be two arrays of integers. Determine all integers that satisfy | ||
the following two conditions: | ||
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1. The elements of the first array are all factors of the integer being | ||
considered | ||
2. The integer being considered is a factor of all elements of the second | ||
array | ||
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These numbers are referred to as being between the two arrays. Determine | ||
how many such numbers exist. | ||
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# Example | ||
$ a = [2, 6] $ | ||
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$ b = [24, 36] $ | ||
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There are two numbers between the arrays: $ 6 $ and $ 12 $. | ||
$ 6 \bmod 2 = 0 $, $ 6 \bmod 6 = 0 $, $ 24 \bmod 6 = 0 $ and $ 36 \bmod 6 = 0 $ for the first value. | ||
$ 12 \bmod 2 = 0 $, $ 12 \bmod 6 = 0 $, and $ 24 \bmod 12 = 0 $, $ 36 \bmod 12 = 0 $ for the second value. Return $ 2 $. | ||
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# Function Description | ||
Complete the getTotalX function in the editor below. It should return the | ||
number of integers that are betwen the sets. | ||
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getTotalX has the following parameter(s): | ||
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- int a[n]: an array of integers | ||
- int b[m]: an array of integers | ||
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# Returns | ||
- int: the number of integers that are between the sets | ||
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# Input Format | ||
The first line contains two space-separated integers, n and m, the number | ||
of elements in arrays a and b. | ||
The second line contains n distinct space-separated integers $ a[i] $ where | ||
$ 0 \leq i < n $. | ||
The third line contains m distinct space-separated integers $ b[j] $ where | ||
$ 0 \leq j < m $. | ||
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# Constraints | ||
- $ 1 \leq n, m < 10 $ | ||
- $ 1 \leq a[i] \leq 100 $ | ||
- $ 1 \leq b[j] \leq 100 $ | ||
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# Sample Input | ||
``` | ||
2 3 | ||
2 4 | ||
12 32 96 | ||
``` | ||
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# Sample Output | ||
``` | ||
3 | ||
``` | ||
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# Explanation | ||
2 and 4 divide evenly into 4, 8, 12 and 16. | ||
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4, 8 and 16 divide evenly into 16, 32, 96. | ||
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4, 8 and 16 are the only three numbers for which each element of a is a factor and each is a factor of all elements of b. |
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# [Subarray Division](https://www.hackerrank.com/challenges/the-birthday-bar) | ||
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- Difficulty: #easy | ||
- Category: #implementation | ||
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Two children, Lily and Ron, want to share a chocolate bar. Each of the squares has an integer on it. | ||
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Lily decides to share a contiguous segment of the bar selected such that: | ||
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The length of the segment matches Ron's birth month, and, | ||
The sum of the integers on the squares is equal to his birth day. | ||
Determine how many ways she can divide the chocolate. | ||
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## Example | ||
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$ s = [2, 2, 1, 3, 2] $ \ | ||
$ d = 4 $ \ | ||
$ m = 2 $ | ||
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Lily wants to find segments summing to Ron's birth day, $ d = 4 $ with a length | ||
equalling his birth month, $ m = 2 $. In this case, there are two segments | ||
meeting her criteria: $ [2, 2] $ and $ [1, 3] $. | ||
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## Function Description | ||
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Complete the birthday function in the editor below. | ||
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birthday has the following parameter(s): | ||
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- int s[n]: the numbers on each of the squares of chocolate | ||
- int d: Ron's birth day | ||
- int m: Ron's birth month | ||
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## Returns | ||
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- int: the number of ways the bar can be divided | ||
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## Input Format | ||
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The first line contains an integer , the number of squares in the chocolate | ||
bar. | ||
The second line contains n space-separated integers $ s[i] $, the numbers on the | ||
chocolate squares where $ 0 \leq i < n $. | ||
The third line contains two space-separated integers, d and m, Ron's | ||
birth day and his birth month. | ||
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## Constraints | ||
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$ 1 \leq n \leq 100 $ \ | ||
$ 1 \leq s[i] \leq 5, where (0 \leq i < n) $ \ | ||
$ 1 \leq d \leq 31 $ \ | ||
$ 1 \leq m \leq 12 $ | ||
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## Sample Input 0 | ||
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```text | ||
5 | ||
1 2 1 3 2 | ||
3 2 | ||
``` | ||
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## Sample Output 0 | ||
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```text | ||
2 | ||
``` | ||
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## Explanation 0 | ||
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Lily wants to give Ron $ m = 2 $ squares summing to $ d = 3 $. The following two | ||
segments meet the criteria: | ||
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```mermaid | ||
graph LR | ||
A[1] --- |1 + 2 = 3|B[2] --- |2 + 1 = 3|C[1] --- D[3] --- E[2] | ||
``` | ||
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## Sample Input 1 | ||
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```text | ||
6 | ||
1 1 1 1 1 1 | ||
3 2 | ||
``` | ||
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## Sample Output 1 | ||
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```text | ||
0 | ||
``` | ||
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## Explanation 1 | ||
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Lily only wants to give Ron $ m = 2 $ consecutive squares of chocolate whose | ||
integers sum to $ d = 3 $. There are no possible pieces satisfying these | ||
constraints: | ||
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```mermaid | ||
graph LR | ||
A[1] --- B[1] --- C[1] --- D[1] --- E[1] --- F[1] | ||
``` | ||
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Thus, we print 0 as our answer. | ||
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## Sample Input 2 | ||
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```text | ||
1 | ||
4 | ||
4 1 | ||
``` | ||
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## Sample Output 2 | ||
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```text | ||
1 | ||
``` | ||
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## Explanation 2 | ||
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Lily only wants to give Ron m = 1 square of chocolate with an integer value | ||
of d = 4. Because the only square of chocolate in the bar satisfies this | ||
constraint, we print 1 as our answer. |
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