import java.util.*;

public class Solution 
{
    public static void main (String[] args)
    {
        //************ALL DOCUMENTED TEST CASES**********
        //Ascending
        //float[] nums = new float[]{0f,2f,3f,4f,6f,8f,9f};   //Test case 1    PASS             
        //float[] nums = new float[]{-1f};   //Test case 2             PASS             
        //float[] nums = new float[]{0f};   //Test case 3       PASS                    
        //float[] nums = new float[]{0,1f,2,4f,5,7f};   //Test case 4    PASS            
        
        //Descending
        //float[] nums = float int[]{9f,8f,6f,4f,3f,2f,0f};    PASS            
        //float[] nums = new float[]{-1f};                PASS             
        //float[] nums = new float[]{0f};          PASS                    
        //float[] nums = new float[]{7f,5f,4f,2f,1f,0f};      PASS 
        
        //For some reason, no test cases above went through junction 8. All others are valid.
        //So these were new devised cases.....
        //float[] nums = new float[]{0f,1f,2f,4f,5f,7f,8f,10f,14f};   //Test case 4    PASS            
        //float[] nums = new float[]{0f,2f,4f,5f,7f,8f,10f,14f,17f,19f,23f,24f,25f,26f,35f,42f,43f,44f};  PASS     
        //float[] nums = new float[]{5f,4f,3f,4f,5f,7f,6f,10f,14f,17f,19f,23f,24f,25f,26f,35f,42f,47f,60f,61f};  PASS
        //float[] nums = new float[]{7f,6f,9f,3f,5f,8f};
        
        //Merging both ascending and descending code
        //float[] nums = new float[]{5f,4f,3f,4f,5f,6f,8f,8f};   PASS
        //float[] nums = new float[]{5f,4f,3f,4f,5f,7f,6f,5f,10f,14f,17f,19f,23f,24f,25f,26f,35f,34f,33f,47f};  PASS
        
        //float[] nums = new float[]{5f,6f,7f,6f,5f,9f,10f,11f,44f,45f,46f,47f,46f,45f,44f,43f,25f,24f,24f,23f,23f,22f};  //using ascending, descending and non-changing....PASS
        
        //float[] nums = new float[]{5f,9f,13f,2f,3f,4f,3f,1f,2f,3f,4f,5f,6f,22f,66f,65f,65f,64f,63f,90f,89f,60f}; //using standalone numbers in between and also ascending/descending...PASS
        //float[] nums = new float[]{1.5f,1.9f,  1.13f,  1.2f, 1.3f, 1.4f, 1.5f, 1.3f,  1.1f,  1.2f};
        
        //float[] nums = new float[]{1.5f,1.9f,  1.13f,  1.2f, 1.1f, 1.4f, 1.5f, 1.3f,  1.1f,  1.2f};
        
        //float[] nums = new float[]{2.0f,4.0f,2.0f,1.2f,1.3f,1.4f,1.3f,1.1f,1.2f,1.3f,1.4f,1.5f,1.6f,1.22f,1.66f,1.65f,1.65f,1.64f,1.63f,1.90f,1.89f,1.60f}; 
        
        //repeat numbers
        //float[] nums = new float[]{2,2,2,4,4,1,1,9,9};  PASS
        
        
        float[] nums = {
        //4.9f, 4.8f, 4.7f, 4.6f, 4.7f, 4.8f, 4.9f, 5.0f, 48.5f, 91.7f  //in test documentation,  used to test the transition 4.6
         //4.9f, 4.8f, 4.7f, 4.5f, 4.6f, 4.7f, 4.9f, 5.0f, 48.5f, 91.7f  //in test documentation , used to test 4.5f standalone merging upwards into ascending
       //0.9f, 0.8f, 0.7f, 0.6f, 0.7f, 0.8f, 0.9f, 5.0f   //final test case in documentation where I resolved end of range with standalone....
       
       4.9f, 4.8f, 4.7f, 4.6f, 4.7f, 4.8f, 4.9f, 5.0f, 48.5f, 91.7f, 82.9f, 57.6f, 57.5f, 57.4f, 57.3f, 57.2f, 57.3f, 57.4f, 57.5f, 57.6f, 26.1f, 25.4f, 21.2f, 83.5f, 56.3f, 56.2f, 56.1f, 56.0f, 55.9f, 55.8f, 55.7f, 55.6f, 13.9f, 35.7f, 54.8f, 54.7f, 54.6f, 54.5f, 54.6f, 54.7f, 54.8f, 54.9f, 49.9f,  9.6f, 86.0f, 77.7f, 77.8f, 77.9f, 78.0f, 78.1f, 78.0f, 77.9f, 77.8f, 77.7f, 25.3f, 72.8f, 42.5f, 74.5f, 74.4f, 74.3f, 74.2f, 74.1f, 74.2f, 74.3f, 74.4f, 74.5f, 90.6f, 30.0f, 66.5f, 11.2f, 64.2f, 64.3f, 64.4f, 64.5f, 64.6f, 64.5f, 64.4f, 64.3f, 64.2f, 18.8f, 49.3f, 60.3f, 51.1f, 52.5f, 52.4f, 52.3f, 52.2f, 52.1f, 52.0f, 51.9f, 51.8f,  1.8f, 70.5f, 69.2f, 79.8f, 86.7f, 86.6f, 86.5f, 86.4f, 86.3f, 86.4f, 86.5f, 86.6f, 86.7f, 17.9f, 80.8f, 23.9f, 89.6f, 36.0f, 35.9f, 35.8f, 35.7f, 35.6f, 35.7f, 35.8f, 35.9f, 36.0f, 95.8f, 28.9f, 71.6f,  5.3f, 60.0f, 60.1f, 60.2f, 60.3f, 60.4f, 60.3f, 60.2f, 60.1f, 60.0f, 45.2f, 16.2f, 50.6f, 34.1f, 68.4f, 68.3f, 68.2f, 68.1f, 68.0f, 67.9f, 67.8f, 67.7f, 67.6f, 89.9f, 27.1f, 14.4f, 98.9f, 63.8f, 63.9f, 64.0f, 64.1f, 64.2f, 64.1f, 64.0f, 63.9f, 63.8f, 54.8f, 22.6f, 41.1f, 91.4f, 47.9f, 47.8f, 47.7f, 47.6f, 47.5f, 47.6f, 47.7f, 47.8f, 47.9f, 58.5f, 70.8f, 11.3f, 58.6f, 58.7f, 58.8f, 58.9f, 59.0f, 58.9f, 58.8f, 58.7f, 58.6f, 35.3f, 76.8f, 44.2f, 96.7f, 52.0f, 51.9f, 51.8f, 51.7f, 51.6f, 51.5f, 51.4f, 51.3f, 51.2f, 20.3f, 93.8f, 37.8f, 61.8f, 30.6f, 30.7f, 30.8f, 30.9f, 31.0f, 30.9f, 30.8f, 30.7f, 30.6f, 12.1f, 84.4f,  2.9f, 63.2f, 69.7f, 69.6f, 69.5f, 69.4f, 69.3f, 69.4f, 69.5f, 69.6f, 69.7f, 55.4f, 81.6f, 32.4f,  6.0f, 79.8f, 79.9f, 80.0f, 80.1f, 80.2f, 80.1f, 80.0f, 79.9f, 79.8f, 88.2f, 21.3f, 45.1f, 90.3f, 42.3f, 42.2f, 42.1f, 42.0f, 41.9f, 41.8f, 41.7f, 41.6f, 41.5f, 62.9f, 97.6f, 53.1f, 24.7f, 66.0f, 65.9f, 65.8f, 65.7f, 65.6f, 65.7f, 65.8f, 65.9f, 66.0f, 49.6f, 83.5f, 38.6f, 10.4f, 77.6f, 77.5f, 77.4f, 77.3f, 77.2f, 77.3f, 77.4f, 77.5f, 77.6f,  3.1f, 60.6f, 88.0f, 92.6f, 74.6f, 74.7f, 74.8f, 74.9f, 75.0f, 74.9f, 74.8f, 74.7f, 74.6f, 31.4f, 13.4f, 55.7f, 64.5f, 50.2f, 50.1f, 50.0f, 49.9f, 49.8f, 49.9f, 50.0f, 50.1f, 50.2f, 58.0f, 67.8f, 41.3f, 96.8f, 72.3f, 72.2f, 72.1f, 72.0f, 71.9f, 71.8f, 71.7f, 71.6f, 71.5f, 29.7f, 81.9f, 18.0f, 46.4f, 34.3f, 34.4f, 34.5f, 34.6f, 34.7f, 34.6f, 34.5f, 34.4f, 34.3f, 85.7f, 14.3f, 26.5f, 56.9f, 61.6f, 61.5f, 61.4f, 61.3f, 61.2f, 61.1f, 61.0f, 60.9f, 60.8f, 43.6f, 89.0f,  7.1f, 75.2f, 39.2f, 39.1f, 39.0f, 38.9f, 38.8f, 38.9f, 39.0f, 39.1f, 39.2f, 94.9f, 23.7f, 48.2f, 87.2f, 52.8f, 52.9f, 53.0f, 53.1f, 53.2f, 53.1f, 53.0f, 52.9f, 52.8f, 12.8f, 97.0f, 20.7f, 68.9f, 73.1f, 73.0f, 72.9f, 72.8f, 72.7f, 72.6f, 72.5f, 72.4f, 72.3f, 54.6f, 15.5f, 40.1f, 30.8f, 63.5f, 63.4f, 63.3f, 63.2f, 63.1f, 63.0f, 62.9f, 62.8f, 62.7f, 49.2f,  5.9f, 91.5f, 84.7f, 51.0f, 50.9f, 50.8f, 50.7f, 50.6f, 50.7f, 50.8f, 50.9f, 51.0f, 78.7f, 36.4f, 59.9f, 95.3f, 44.9f, 44.8f, 44.7f, 44.6f, 44.5f, 44.4f, 44.3f, 44.2f, 44.1f, 83.6f, 25.9f, 32.1f, 11.1f, 67.5f, 67.4f, 67.3f, 67.2f, 67.1f, 67.2f, 67.3f, 67.4f, 67.5f, 52.7f, 98.0f, 19.5f, 60.7f, 28.1f, 28.0f, 27.9f, 27.8f, 27.7f, 27.8f, 27.9f, 28.0f, 28.1f, 70.7f, 54.5f, 13.5f, 77.1f, 41.2f, 41.1f, 41.0f, 40.9f, 40.8f, 40.7f, 40.6f, 40.5f, 40.4f, 59.4f, 90.0f,  6.7f, 85.4f, 69.5f, 69.6f, 69.7f, 69.8f, 69.9f, 70.0f, 70.1f, 70.2f, 70.3f, 38.0f, 12.4f, 95.2f, 57.1f, 50.4f, 50.3f, 50.2f, 50.1f, 50.0f, 49.9f, 49.8f, 49.7f, 49.6f, 61.7f, 27.6f, 43.1f, 83.8f, 73.4f, 73.5f, 73.6f, 73.7f, 73.8f, 73.7f, 73.6f, 73.5f, 73.4f, 16.3f, 97.2f, 21.5f, 66.2f, 47.1f, 47.2f, 47.3f, 47.4f, 47.5f, 47.4f, 47.3f, 47.2f, 47.1f, 33.5f, 76.3f, 42.9f,  4.3f, 62.4f, 62.3f, 62.2f, 62.1f, 62.0f, 61.9f, 61.8f, 61.7f, 61.6f, 82.4f, 24.4f, 58.4f,  9.7f, 90.4f, 90.3f, 90.2f, 90.1f, 90.0f, 89.9f, 89.8f, 89.7f, 89.6f, 34.9f, 14.7f, 30.2f, 96.2f, 52.4f, 52.3f, 52.2f, 52.1f, 52.0f, 51.9f, 51.8f, 51.7f, 51.6f, 71.8f, 59.2f, 10.6f, 84.2f, 63.7f, 63.8f, 63.9f, 64.0f, 64.1f, 64.0f, 63.9f, 63.8f, 63.7f, 46.6f, 18.2f, 45.4f, 82.0f, 78.6f, 78.5f, 78.4f, 78.3f, 78.2f, 78.3f, 78.4f, 78.5f, 78.6f, 95.4f, 32.6f, 23.3f, 68.8f, 41.8f, 41.7f, 41.6f, 41.5f, 41.4f, 41.3f, 41.2f, 41.1f, 41.0f, 58.9f, 27.4f, 56.1f, 88.7f, 50.8f, 50.9f, 51.0f, 51.1f, 51.2f, 51.1f, 51.0f, 50.9f, 50.8f, 12.9f, 72.1f, 33.3f, 67.9f, 74.9f, 74.8f, 74.7f, 74.6f, 74.5f, 74.6f, 74.7f, 74.8f, 74.9f, 49.0f, 21.9f, 61.2f, 93.6f, 55.3f, 55.2f, 55.1f, 55.0f, 55.1f, 55.2f, 55.3f, 55.4f, 55.5f, 43.4f, 61.0f, 47.3f, 47.4f
        };
        
        
        
        System.out.println(summaryRanges(nums));
    }
    
    public static List<String> summaryRanges(float[] nums) 
    {
        final float epsilon = 0.0005f;
        
        boolean isFirstOccurenceAscendingChain=false;
        boolean isFirstOccurenceAscendingChainNoTransition =false;
        
        List<String> sm = new ArrayList<>();
        int counter = 0;
        String start="";
        String end="";
        String temp="";
        String backupStart="";
        boolean hasTransition=false;
        String transitionNumber="";
        float difference=0.1f;

        if (nums.length==1)
        {
            sm.add(String.valueOf(nums[0]));
            System.out.println("1Writing Standalone: " + nums[0]);
            return sm;
        }

        for (int k=0; k<nums.length-1;k++)
        {
            if (k==0)
            {
                start=String.valueOf(nums[k]);
            }
            
            System.out.println("CHECKING: " + nums[k] + " with " + nums[k+1]);
            System.out.println(nums[k]+difference);   //5.0
            System.out.println(nums[k]-difference);   //4.8
            
            //Math.abs(current - (prev + difference ))< epsilon
            //we need to understand which is current, prev
            //if nums[k] is current
            //Math.abs(4.9 - (4.8 + 0.1)) < 0.00005
            //if (Math.abs(nums[k] - (nums[k+1] + difference)) <epsilon)
            
            if (Math.abs(nums[k] - (nums[k+1] + difference)) <epsilon)
            //if ((nums[k]+difference)==(nums[k+1]))
            {
                if (counter==0)
                {
                    backupStart=String.valueOf(nums[k]);
                }
                
                if (counter==0 && (k==nums.length-2))
                {
                    start=String.valueOf(nums[k]);
                    end = String.valueOf(nums[k+1]);
                    sm.add(start+"->"+end);
                    System.out.println("5Writing range: " + start + "-> " + end); 
                    break;
                }
                
                if (counter!=0 && (k==nums.length-2))
                {
                    end=String.valueOf(nums[k+1]);
                    sm.add(start +"->"+end);
                    System.out.println("6Writing range: " + start + "-> " + end); 
                }

                if (counter==0)
                {
                    start=String.valueOf(nums[k]);
                    System.out.println("Establishing start: " + start);
                    
                    if (k==nums.length-1)
                    {
                        System.out.println("2Writing Standalone: " + start);
                        sm.add(start);
                    }
                }
                counter++; 
            }
            else
            {
                if (k==nums.length-2)
                {
                    if (temp!="")
                    {
                        sm.add(temp);
                        System.out.println("9Writing range: " + temp);
                    }
                    
                    if (counter==0)
                    {
                        if (Math.abs(nums[k] - (nums[k+1] + difference)) <epsilon)
                        //if ((nums[k]-difference)==(nums[k+1]))
                        {
                            start=String.valueOf(nums[k]);
                            end = String.valueOf(nums[k+1]);
                            sm.add(start+"->"+end);
                            System.out.println("7Writing range: " + start + "-> " + end);
                        }
                        else
                        {
                            end = String.valueOf(nums[k]);
                            
                            if (isFirstOccurenceAscendingChainNoTransition || isFirstOccurenceAscendingChain)
                            {
                                end=String.valueOf(nums[k]);
                        sm.add(start+"->"+end);
                        System.out.println("27Writing range: " + start + "-> " + end); 
                        //sm.add(String.valueOf(nums[k+1]));
                                
                            }
                            else
                            {
                            
                            if (temp=="")
                            {
                                System.out.println("3Writing Standalone: " + end);
                                sm.add(end);
                            }
                            }
                                start=String.valueOf(nums[k+1]);
                                System.out.println("4Writing Standalone: " + start);
                                sm.add(start);
                        }
                    }
                    else
                    {
                        end=String.valueOf(nums[k]);
                        sm.add(start+"->"+end);
                        System.out.println("3Writing range: " + start + "-> " + end); 
                        sm.add(String.valueOf(nums[k+1]));
                    }
                }
                else
                {
                    if (Math.abs(nums[k] - (nums[k+1] + difference)) <epsilon)
                    //if ((nums[k]-difference)==(nums[k+1]))
                    {
                        end=String.valueOf(nums[k+1]);
                    }
                    else
                    {
                        end=String.valueOf(nums[k]);
                    }
                    if (counter==0)
                    {
                        if(k==0)
                        {
                            if (Math.abs(nums[k] - (nums[k+1] + difference)) <epsilon)
                            //if ((nums[k]-difference)==(nums[k+1]))
                            {
                                start=String.valueOf(nums[k]);
                                counter++;
                            }
                            else 
                            {
                                System.out.println("5Writing standalone: " + start);
                                sm.add(start);
                            }
                        }
                        else
                        {
                            if (Math.abs(nums[k] - (nums[k+1] + difference)) <epsilon)
                            //if ((nums[k]-difference)==(nums[k+1]))
                            {
                                if (temp=="")
                                {
                                    if (Math.abs(nums[k] - (nums[k-1] + difference)) <epsilon)
                                    //if ((nums[k-1]-difference)==(nums[k]))
                                    {
                                        backupStart=String.valueOf(nums[k-1]);
                                    }
                                    else
                                    {
                                        backupStart=String.valueOf(nums[k]);
                                    }
                                    
                                    temp=backupStart+"->"+end;
                                    hasTransition=false;
                                }
                                else
                                {
                                    end=String.valueOf(nums[k+1]);
                                    temp=backupStart+"->"+end;
                                    hasTransition=false;
                                }
                                System.out.println("8Storing range: " + temp);
                            }
                            else
                            {
                                if (temp!="")
                                {
                                    sm.add(temp);
                                    System.out.println("8Writing range: " + temp);
                                    temp="";
                                    backupStart="";
                                }
                                
                                
                                else
                                {
                                    //to ensure a standalone does not enter the else loop, the first part determines relationship
                                    //with nums[k-1] but we need to forge connection with nums[k+1]
                                    //ie if nums[k] + difference is  within tolerance of nums[k+1]  ie still ascending
                                    
                                    
                                  //                4.5       4.7       //suggesting ascending, not applicable 
                                    if ((Math.abs(nums[k] - (nums[k-1] + difference)) <epsilon)
                                    
                                //              4.6                        4.5       //this is applicable
                                    ||   (Math.abs(nums[k+1] - (nums[k] + difference)) <epsilon))
                                    //if ((nums[k-1]-difference)==(nums[k]))
                                    {
                                        
                                        //ultimately we know that sequence is 4.7,   (4.5),    4.6
                                        //so what makes it different to  4.7,    (4.6), 4.7, 4.8....
                                        
                                                                                //we are still interested in the start only once, but this time it would be
                                        //nums[k]
                                        //we know the below loop wont allow entry due to 4.7,   (4.5),    4.6
                                        //so I can lessen the scope first to check if nums[k+1]+diff >=nums[k]
                                        //to establish start once....
                                        //and then if it goes into the wider scope for
                                        //4.7,    (4.6), 4.7, 4.8....  it would get nums[k-1] to represent the transition...
                                        
                                        //we know it would enter here for cases such as  4.6->4.7
                                        
                                        //String backupEnd = end;            //this would be 4.6 value before
                                        end = String.valueOf(nums[k]);
                                        
                                        //since for ascending, we are getting entries such as
                                        //4.6->4.7, 4.7->4.8, 4.8->4.9, 4.9->5.0
                                        //we need to merge summary range together again
                                        
                                         //4.9f, 4.8f, 4.7f, 4.6f,        4.7f, 4.8f, 4.9f, 5.0f, 48.5f, 91.7f
                                        
                                        System.out.println("This is start: " + start);
                                        
                                        //here we know we are in ascending area....
                                        //so we need to check using epsilon if the prev is less than current
                                        //within margin of error 
                                        
                                        //this logic suggests previous number is lower since addding difference
                                        //it also has to ensure the front is increasing by difference, in which case we have to subtract difference from nums[k+1]
                                        //also need to find a way of not keep obtaining the start...
                                        //it would only get the start on the first instance of the below if loop
                                        //for instance we want start to remain as 4.6f and not be adjusted everytime nums[k] increases
                                        
                                        //4.6f,        4.7f, 4.8f, 4.9f, 5.0f,
                                        
                                                   
                                                  // 4.5                 4.6
                                        if  (Math.abs(nums[k] - (nums[k+1] - difference))<epsilon)
                                        {
                                            if (!isFirstOccurenceAscendingChainNoTransition)
                                            {
                                                start=String.valueOf(nums[k]);  //4.5
                                                System.out.println("1BUT ACKNOWLEDGED START: " + start);
                                                
                                                //need to lock this loop until else has reached
                                                isFirstOccurenceAscendingChainNoTransition=true;
                                            }
                                        
                                        
                                        //wider scope
                                        if ((Math.abs(nums[k] - (nums[k-1] + difference)) <epsilon)  
                                        &&   (Math.abs(nums[k] - (nums[k+1] - difference))<epsilon))
                                        {
                                            System.out.println("DO NOTHING******************");
                                            
                                            if (!isFirstOccurenceAscendingChain)
                                            {
                                                start=String.valueOf(nums[k-1]);  //4.6
                                                System.out.println("2BUT ACKNOWLEDGED START: " + start);
                                                
                                                //need to lock this loop until else has reached
                                                isFirstOccurenceAscendingChain=true;
                                            }
                                        }
                                    }
                                        
                                        else
                                        {
                                            isFirstOccurenceAscendingChain=false;
                                            isFirstOccurenceAscendingChainNoTransition=false;
                                            System.out.println("**************************");
                                            sm.add(start+"->"+end);
                                            System.out.println("11Writing range: " + start+"->"+end);
                                        }
                                    }  //else opposing 8write rangey
                                    
                                    
                                    else
                                    {
                                        start = String.valueOf(nums[k]);
                                        sm.add(start);
                                        System.out.println("6Writing Standalone: " + start);
                                    }
                                }  //wide else
                            }
                        }
                    }
                    else
                    {
                        if ((Math.abs(nums[k] - (nums[k-1] + difference)) <epsilon)  && (Math.abs(nums[k] - (nums[k+1] + difference)) <epsilon))
                        //if ((nums[k-1]+difference)==(nums[k]) &&  (nums[k])==(nums[k+1])+difference)
                        {
                            end=String.valueOf(nums[k]);
                            sm.add(backupStart+"->"+end);
                            System.out.println("10Writing range: " + backupStart+"->"+end);
                            hasTransition=true;
                            transitionNumber=String.valueOf(nums[k]);
                        }
                        if (!hasTransition)
                        {
                            if (temp!="")
                            {
                                end=String.valueOf(nums[k+1]);
                                sm.add(start+"->"+end);
                            }
                            else
                            {
                                System.out.println("2Writing range: " + start + "-> " + end); 
                                sm.add(start+"->"+end);
                            }
                        }
                        counter=0;
                        temp="";
                        backupStart="";
                        hasTransition=false;
                    }
                }
            }
        }
        return sm;
    }
}

