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## to Grains in the Scala Track

Published at Aug 23 2019 · 0 comments
Instructions
Test suite
Solution

Calculate the number of grains of wheat on a chessboard given that the number on each square doubles.

There once was a wise servant who saved the life of a prince. The king promised to pay whatever the servant could dream up. Knowing that the king loved chess, the servant told the king he would like to have grains of wheat. One grain on the first square of a chess board. Two grains on the next. Four on the third, and so on.

There are 64 squares on a chessboard.

Write code that shows:

• how many grains were on each square, and
• the total number of grains

## For bonus points

Did you get the tests passing and the code clean? If you want to, these are some additional things you could try:

• Optimize for speed.

Then please share your thoughts in a comment on the submission. Did this experiment make the code better? Worse? Did you learn anything from it?

The Scala exercises assume an SBT project scheme. The exercise solution source should be placed within the exercise directory/src/main/scala. The exercise unit tests can be found within the exercise directory/src/test/scala.

To run the tests simply run the command `sbt test` in the exercise directory.

For more detailed info about the Scala track see the help page.

## Source

JavaRanch Cattle Drive, exercise 6 http://www.javaranch.com/grains.jsp

## Submitting Incomplete Solutions

It's possible to submit an incomplete solution so you can see how others have completed the exercise.

### GrainsTest.scala

``````import org.scalatest.{Matchers, FunSuite}

/** @version 1.1.0 */
class GrainsTest extends FunSuite with Matchers {

test("1") {
Grains.square(1) should be(Some(1))
}

test("2") {
pending
Grains.square(2) should be(Some(2))
}

test("3") {
pending
Grains.square(3) should be(Some(4))
}

test("4") {
pending
Grains.square(4) should be(Some(8))
}

test("16") {
pending
Grains.square(16) should be(Some(32768))
}

test("32") {
pending
Grains.square(32) should be(Some(BigInt("2147483648")))
}

test("64") {
pending
Grains.square(64) should be(Some(BigInt("9223372036854775808")))
}

test("square 0 raises an exception") {
pending
Grains.square(0) should be(None)
}

test("negative square raises an exception") {
pending
Grains.square(-1) should be(None)
}

test("square greater than 64 raises an exception") {
pending
Grains.square(65) should be(None)
}

test("returns the total number of grains on the board") {
pending
Grains.total should be(BigInt("18446744073709551615"))
}
}``````
``````object Grains {
def square(squareNumber: Int): Option[BigInt] = squareNumber - 1 match {
case x if x < 0 | x > 63 => None
case x => Some(BigInt(1) << x)
//case x => Some(BigInt(2).pow(x))
}

def total: BigInt = (BigInt(1) << 64) - 1

//def total: BigInt = (1 to 64).flatMap(square).sum
//def total: BigInt = BigInt(2).pow(64) - 1
}``````