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          easy
        
        
            1.
            
              FrogJmp
            
          
          
            Count minimal number of jumps from position X to Y.
          
        
  
    
    Task Score
    
    
  
  
    
      
        
          
            
        
      
    
  
          
              100%
            
          
  
    
    Correctness
    
    
  
  
    
      
        
          
            
        
      
    
  
          
              100%
            
          
  
    
    Performance
    
    
  
  
    
      
        
          
            
        
      
    
  
        
              100%
            
          A small frog wants to get to the other side of the road. The frog is currently located at position X and wants to get to a position greater than or equal to Y. The small frog always jumps a fixed distance, D.
Count the minimal number of jumps that the small frog must perform to reach its target.
Write a function:
def solution(X, Y, D)
that, given three integers X, Y and D, returns the minimal number of jumps from position X to a position equal to or greater than Y.
For example, given:
X = 10 Y = 85 D = 30the function should return 3, because the frog will be positioned as follows:
- after the first jump, at position 10 + 30 = 40
- after the second jump, at position 10 + 30 + 30 = 70
- after the third jump, at position 10 + 30 + 30 + 30 = 100
Write an efficient algorithm for the following assumptions:
- X, Y and D are integers within the range [1..1,000,000,000];
- X ≤ Y.
Copyright 2009–2025 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
              
            
          
            Solution
            
            
              
                
              
            
          
          
          
            
              Programming language used Python
            
          
          
            
            
              Time spent on task 4 minutes
              
            
            
          
          
          
            
              
                
                  Notes
                  
                    
                  
                
               
              
                
              
              
                
                  
                    
                  
                  
                  
                  
                  
                    
                  
                  
                    
                      
                        
  
  
                      
                        
                          not defined yet
                        
                      
                      
                    
                    
                  
        Code: 13:27:10 UTC,
        
          java,
        
        
          autosave 
        
      
      
      
      
    
          Analysis 
          
            
          
        
        
          
  
  
  
          Analysis 
          
            
          
        
        
          
  
  
  
        
          expand all 
        
        User tests
      
      
        
        
                1.
              
              
              
                
                  0.036 s
                
              
              
              
                
                  OK
                
                
                  
function result: 0
            function result: 0
                1.
              
              
              
                
                  0.036 s
                
              
              
              
                
                  OK
                
                
                  
function result: 30
            function result: 30
                1.
              
              
              
                
                  0.036 s
                
              
              
              
                
                  RUNTIME ERROR,
                  tested program terminated with exit code 1
                
                
              
            
                    
                      stderr:
                      
                Traceback (most recent call last):
  File "exec.py", line 131, in <module>
    main()
  File "exec.py", line 93, in main
    result = solution( X, Y, D )
  File "/tmp/solution.py", line 7, in solution
    i = N // D
ZeroDivisionError: integer division or modulo by zero
                    
                    
                    
                  
                      User test case 1:
                      
                  
                    [10, 10, 20]
                      User test case 2:
                      
                  
                    [10, 40, 1]
                      User test case 3:
                      
                  
                  
                
              [30, 30, 0]
          Analysis 
          
            
          
        
        
          
  
  
  
        
          expand all 
        
        User tests
      
      
        
        
                1.
              
              
              
                
                  0.036 s
                
              
              
              
                
                  OK
                
                
                  
function result: 0
            function result: 0
                1.
              
              
              
                
                  0.036 s
                
              
              
              
                
                  OK
                
                
                  
function result: 30
            function result: 30
                1.
              
              
              
                
                  0.036 s
                
              
              
              
                
                  OK
                
                
                  
function result: 0
            function result: 0
                      User test case 1:
                      
                  
                    [10, 10, 20]
                      User test case 2:
                      
                  
                    [10, 40, 1]
                      User test case 3:
                      
                  
                  
                
              [30, 30, 0]
Analysis summary
            
  The solution obtained perfect score.
          Analysis 
          
            
          
        
        
          
  
    
      Detected time complexity:
        
          O(1)
        
        
      
        
          expand all 
        
        Correctness tests
      
      
        
        
                1.
              
              
              
                
                  0.036 s
                
              
              
              
                
                  OK
                
                
              
            
                2.
              
              
              
                
                  0.036 s
                
              
              
              
                
                  OK
                
                
              
            
                1.
              
              
              
                
                  0.036 s
                
              
              
              
                
                  OK
                
                
              
            
                2.
              
              
              
                
                  0.036 s
                
              
              
              
                
                  OK
                
                
              
            
                1.
              
              
              
                
                  0.036 s
                
              
              
              
                
                  OK
                
                
              
            
                2.
              
              
              
                
                  0.036 s
                
              
              
              
                
                  OK
                
                
              
            
                1.
              
              
              
                
                  0.036 s
                
              
              
              
                
                  OK