# Collection Aggregate Operations

Kotlin collections contain functions for commonly used *aggregate operations* – operations that return a single value based on the collection content.
Most of them are well known and work the same way as they do in other languages:

`min()`

and`max()`

return the smallest and the largest element respectively;`average()`

returns the average value of elements in the collection of numbers;`sum()`

returns the sum of elements in the collection of numbers;`count()`

returns the number of elements in a collection;

```
fun main() {
//sampleStart
val numbers = listOf(6, 42, 10, 4)
println("Count: ${numbers.count()}")
println("Max: ${numbers.max()}")
println("Min: ${numbers.min()}")
println("Average: ${numbers.average()}")
println("Sum: ${numbers.sum()}")
//sampleEnd
}
```

There are also functions for retrieving the smallest and the largest elements by certain selector function or custom `Comparator`

:

`maxBy()`

/`minBy()`

take a selector function and return the element for which it returns the largest or the smallest value.`maxWith()`

/`minWith()`

take a`Comparator`

object and return the largest or smallest element according to that`Comparator`

.

```
fun main() {
//sampleStart
val numbers = listOf(5, 42, 10, 4)
val min3Remainder = numbers.minBy { it % 3 }
println(min3Remainder)
val strings = listOf("one", "two", "three", "four")
val longestString = strings.maxWith(compareBy { it.length })
println(longestString)
//sampleEnd
}
```

Additionally, there are advanced summation functions that take a function and return the sum of its return values on all elements:

`sumBy()`

applies functions that return`Int`

values on collection elements.`sumByDouble()`

works with functions that return`Double`

.

```
fun main() {
//sampleStart
val numbers = listOf(5, 42, 10, 4)
println(numbers.sumBy { it * 2 })
println(numbers.sumByDouble { it.toDouble() / 2 })
//sampleEnd
}
```

## Fold and reduce

For more specific cases, there are the functions `reduce()`

and `fold()`

that apply the provided operation to the collection elements sequentially and return the accumulated result.
The operation takes two arguments: the previously accumulated value and the collection element.

The difference between the two functions is that `fold()`

takes an initial value and uses it as the accumulated value on the first step, whereas the first step of `reduce()`

uses the first and the second elements as operation arguments on the first step.

```
fun main() {
//sampleStart
val numbers = listOf(5, 2, 10, 4)
val sum = numbers.reduce { sum, element -> sum + element }
println(sum)
val sumDoubled = numbers.fold(0) { sum, element -> sum + element * 2 }
println(sumDoubled)
//val sumDoubledReduce = numbers.reduce { sum, element -> sum + element * 2 } //incorrect: the first element isn't doubled in the result
//println(sumDoubledReduce)
//sampleEnd
}
```

The example above shows the difference: `fold()`

is used for calculating the sum of doubled elements.
If you pass the same function to `reduce()`

, it will return another result because it uses the list's first and second elements as arguments on the first step, so the first element won't be doubled.

To apply a function to elements in the reverse order, use functions `reduceRight()`

and `foldRight()`

.
They work in a way similar to `fold()`

and `reduce()`

but start from the last element and then continue to previous.
Note that when folding or reducing right, the operation arguments change their order: first goes the element, and then the accumulated value.

```
fun main() {
//sampleStart
val numbers = listOf(5, 2, 10, 4)
val sumDoubledRight = numbers.foldRight(0) { element, sum -> sum + element * 2 }
println(sumDoubledRight)
//sampleEnd
}
```

You can also apply operations that take element indices as parameters.
For this purpose, use functions `reduceIndexed()`

and `foldIndexed()`

passing element index as the first argument of the operation.

Finally, there are functions that apply such operations to collection elements from right to left - `reduceRightIndexed()`

and `foldRightIndexed()`

.

```
fun main() {
//sampleStart
val numbers = listOf(5, 2, 10, 4)
val sumEven = numbers.foldIndexed(0) { idx, sum, element -> if (idx % 2 == 0) sum + element else sum }
println(sumEven)
val sumEvenRight = numbers.foldRightIndexed(0) { idx, element, sum -> if (idx % 2 == 0) sum + element else sum }
println(sumEvenRight)
//sampleEnd
}
```