Saturday, January 25, 2014

Jump Game II (java)


Given an array of non-negative integers, you are initially positioned at the first index of the array.
Each element in the array represents your maximum jump length at that position.
Your goal is to reach the last index in the minimum number of jumps.
For example:
Given array A = [2,3,1,1,4]
The minimum number of jumps to reach the last index is 2. (Jump 1 step from index 0 to 1, then 3 steps to the last index.)

Solution: Greedy
At first, I try to solve this problem with DFS, but exceeded the time limitation, then I search the Internet find a very good solution for this question - Greedy Algorithm. the main idea is try to find the longest distance by each jump can reach and check if this distance can pass the total length of this array, of course we should have a variable to keep record of the current steps. if this distance cannot pass the total length of this array, then we should go through all the position within this distance to see if it can pass the array by jumping from there
I think code should be more clear than my description