Rename sortedPrefix methods

Guides/MinMax.md

@@ -0,0 +1,58 @@
+# Min/Max with Count
+
+[[Source](https://github.com/apple/swift-algorithms/blob/main/Sources/Algorithms/MinMax.swift) | 
+ [Tests](https://github.com/apple/swift-algorithms/blob/main/Tests/SwiftAlgorithmsTests/MinMaxTests.swift)]
+
+Returns the smallest or largest elements of this collection, sorted by a predicate or in the order defined by `Comparable` conformance.
+
+If you need to sort a collection but only need access to a prefix or suffix of the sorted elements, using these methods can give you a performance boost over sorting the entire collection. The order of equal elements is guaranteed to be preserved.
+
+```swift
+let numbers = [7, 1, 6, 2, 8, 3, 9]
+let smallestThree = numbers.min(count: 3, sortedBy: <)
+// [1, 2, 3]
+```
+
+## Detailed Design
+
+This adds the `Collection` methods shown below:
+
+```swift
+extension Collection {
+    public func min(
+        count: Int, 
+        sortedBy areInIncreasingOrder: (Element, Element) throws -> Bool
+    ) rethrows -> [Element]
+
+    public func max(
+        count: Int, 
+        sortedBy areInIncreasingOrder: (Element, Element) throws -> Bool
+    ) rethrows -> [Element]
+}
+```
+
+Additionally, versions of these methods for `Comparable` types are also provided:
+
+```swift
+extension Collection where Element: Comparable {
+    public func min(count: Int) -> [Element]
+
+    public func max(count: Int) -> [Element]
+}
+```
+
+### Complexity
+
+The algorithm used is based on [Soroush Khanlou's research on this matter](https://khanlou.com/2018/12/analyzing-complexity/). The total complexity is `O(k log k + nk)`, which will result in a runtime close to `O(n)` if *k* is a small amount. If *k* is a large amount (more than 10% of the collection), we fall back to sorting the entire array. Realistically, this means the worst case is actually `O(n log n)`.
+
+Here are some benchmarks we made that demonstrates how this implementation (SmallestM) behaves when *k* increases (before implementing the fallback):
+
+![Benchmark](Resources/SortedPrefix/FewElements.png)
+![Benchmark 2](Resources/SortedPrefix/ManyElements.png)
+
+### Comparison with other languages
+
+**C++:** The `<algorithm>` library defines a `partial_sort` function where the entire array is returned using a partial heap sort.
+
+**Python:** Defines a `heapq` priority queue that can be used to manually achieve the same result.
+

README.md

@@ -30,7 +30,7 @@ Read more about the package, and the intent behind it, in the [announcement on s
 
 #### Partial sorting
 
-- [`sortedPrefix(_:by:)`](https://github.com/apple/swift-algorithms/blob/main/Guides/SortedPrefix.md): Returns the first k elements of a sorted collection.
+- [`min(count:)`, `max(count:)`, `min(count:sortedBy:)`, `max(count:sortedBy:)`](https://github.com/apple/swift-algorithms/blob/main/Guides/MinMax.md): Returns the smallest or largest elements of a collection, sorted by a predicate.
 
 #### Other useful operations