## The challenge

Write a function that returns the positions and the values of the “peaks” (or local maxima) of a numeric array.

For example, the array `arr = [0, 1, 2, 5, 1, 0]` has a peak at position `3` with a value of `5` (since `arr[3]` equals `5`).

The output will be returned as a “Map<String,List>`with two key-value pairs:`“pos”`and`“peaks”`. If there is no peak in the given array, simply return`{“pos” => [], “peaks” => []}`.

Example: `pickPeaks([3, 2, 3, 6, 4, 1, 2, 3, 2, 1, 2, 3])` should return `{pos: [3, 7], peaks: [6, 3]}` (or equivalent in other languages)

All input arrays will be valid integer arrays (although it could still be empty), so you won’t need to validate the input.

The first and last elements of the array will not be considered as peaks (in the context of a mathematical function, we don’t know what is after and before and therefore, we don’t know if it is a peak or not).

Also, beware of plateaus !!! `[1, 2, 2, 2, 1]` has a peak while `[1, 2, 2, 2, 3]` and `[1, 2, 2, 2, 2]` do not. In case of a plateau-peak, please only return the position and value of the beginning of the plateau. For example: `pickPeaks([1, 2, 2, 2, 1])` returns `{pos: [1], peaks: [2]}`

## The solution in Java code

Option 1:

 `````` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 `````` ``````import java.util.*; public class PickPeaks { public static Map> getPeaks(int[] arr) { Map> ans = new HashMap>() {{ put("pos", new ArrayList() ); put("peaks", new ArrayList() ); }}; int posMax = 0; boolean matchAsc = false; for (int i = 1 ; i < arr.length ; i++) { if (arr[i-1] < arr[i]) { matchAsc = true; posMax = i; } if (matchAsc && arr[i-1] > arr[i]) { matchAsc = false; ans.get("pos").add(posMax); ans.get("peaks").add(arr[posMax]); } } return ans; } } ``````

Option 2:

 `````` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 `````` ``````import java.util.Map; import java.util.ArrayList; import java.util.HashMap; import java.util.List; public class PickPeaks { public static Map> getPeaks(int[] arr) { Map> result = new HashMap<>(); result.put("pos", new ArrayList<>()); result.put("peaks", new ArrayList<>()); if (arr.length > 1) { boolean isUp = false; int pos = 1; for (int i = 1; i < arr.length; i++) { if(arr[i] < arr[i - 1]) { if(isUp) { isUp = false; if(pos != arr.length - 1) { result.get("pos").add(pos); result.get("peaks").add(arr[pos]); } } pos = i; } else if(arr[i] != arr[i - 1]) { isUp = true; pos = i; } } } return result; } } ``````

Option 3:

 `````` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 `````` ``````import java.util.*; public class PickPeaks { public static Map> getPeaks(int[] arr) { List posList = new ArrayList<>(); List peakList = new ArrayList<>(); int n = arr.length; int i = 0; int xi = n > 0 ? arr[0] : 0; for (int j = 1; j < n; j++) { int xj = arr[j]; int d = xj - xi; if (d == 0) continue; if (d > 0) i = j; else if (i > 0) { posList.add(i); peakList.add(xi); i = 0; // indicates fall } xi = xj; } return Map.of("pos", posList, "peaks", peakList); } } ``````

## Test cases to validate our solution

 `````` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 `````` ``````import org.junit.Test; import static org.junit.Assert.assertEquals; import org.junit.runners.JUnit4; import java.util.*; import java.util.stream.Collectors; public class SolutionTest { private static String[] msg = {"should support finding peaks", "should support finding peaks, but should ignore peaks on the edge of the array", "should support finding peaks; if the peak is a plateau, it should only return the position of the first element of the plateau", "should support finding peaks; if the peak is a plateau, it should only return the position of the first element of the plateau", "should support finding peaks, but should ignore peaks on the edge of the array"}; private static int[][] array = {{1,2,3,6,4,1,2,3,2,1}, {3,2,3,6,4,1,2,3,2,1,2,3}, {3,2,3,6,4,1,2,3,2,1,2,2,2,1}, {2,1,3,1,2,2,2,2,1}, {2,1,3,1,2,2,2,2}}; private static int[][] posS = {{3,7}, {3,7}, {3,7,10}, {2,4}, {2},}; private static int[][] peaksS = {{6,3}, {6,3}, {6,3,2}, {3,2}, {3}}; @Test public void sampleTests() { for (int n = 0 ; n < msg.length ; n++) { final int[] p1 = posS[n], p2 = peaksS[n]; Map> expected = new HashMap>() {{ put("pos", Arrays.stream(p1).boxed().collect(Collectors.toList())); put("peaks", Arrays.stream(p2).boxed().collect(Collectors.toList())); }}, actual = PickPeaks.getPeaks(array[n]); assertEquals(msg[n], expected, actual); } } } ``````