What are the minimum number of moves required to make the array special?
The minimum number of moves required to convert an array {0, 0, 0} to array {8, 9, 8} is 7. The idea is to do the opposite, i.e., the array can be converted to an array of zeroes using decrement and reduce operation. The decrement operation lowers the value of an array element by one.
Can you reach end of array?
Negative base case : if maximum length of any jump possible from any current position is equal to zero, this means that there is no way possible with which we can reach the end of the given array as we cannot move even a single position from our current position.
How to calculate minimum number of jumps to reach end?
Write a function to return the minimum number of jumps to reach the end of the array (starting from the first element). If an element is 0, then we cannot move through that element.
How to find minimum number of steps required to reach end of matrix?
Given a 2d-matrix mat [] [] consisting of positive integers, the task is to find the minimum number of steps required to reach the end of the matrix. If we are at cell (i, j) we can go to cells (i, j + arr [i] [j]) or (i + arr [i] [j], j). We cannot go out of bounds. If no path exists then print -1. Thus, we are reaching there in two steps.
How many jumps are needed to reach node 9?
If 8 or 9 is chosen then the end node 9 can be reached. So 3 jumps are made. Input: arr [] = {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1} Output: 10 Explanation: In every step a jump is needed so the count of jumps is 10. The first element is 1, so can only go to 3. The second element is 3, so can make at most 3 steps eg to 5 or 8 or 9.
Are there overlapping subproblems in minjumps ( 3, 9 )?
Note: If the execution is traced for this method, it can be seen that there will be overlapping subproblems. For example, minJumps (3, 9) will be called two times as arr [3] is reachable from arr [1] and arr [2]. So this problem has both properties ( optimal substructure and overlapping subproblems) of Dynamic Programming.