Greedy Algorithm - Jump Game

You are given an integer array nums
. You are initially positioned at the array's first index, and each element in the array represents your maximum jump length at that position.
Return true
if you can reach the last index, or false
otherwise.
Example 1:
Input: nums = [2,3,1,1,4]
Output: true
Explanation: Jump 1 step from index 0 to 1, then 3 steps to the last index.
Example 2:
Input: nums = [3,2,1,0,4]
Output: false
Explanation: You will always arrive at index 3 no matter what. Its maximum jump length is 0, which makes it impossible to reach the last index.
Solution:
var canJump = function(nums) {
let maxReach = 0; // This variable keeps track of the maximum index we can reach.
for (let i = 0; i < nums.length; i++) {
// If the current index is beyond the furthest reachable index, return false.
if (i > maxReach) {
return false;
}
// Update the furthest reachable index.
maxReach = Math.max(maxReach, i + nums[i]);
// If the furthest reachable index is at or beyond the last index, return true.
if (maxReach >= nums.length - 1) {
return true;
}
}
return false;
};
Time Complexity: O(n)
Space Complexity: O(1)
Thank you for reading!
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Written by

Palak Bansal
Palak Bansal
Experienced Frontend Developer with a demonstrated history of working in the financial services industry along with having 5+ years of hands on professional experience efficiently coding websites and applications using modern HTML, CSS and Javascript along with their respective frameworks viz.Vue.JS, React.JS. Instituting new technologies and building easy to use and user-friendly websites is truly a passion of mine. I actively seek out new libraries and stay up-to-date on industry trends and advancements. Translated designs to frontend code along with streamlining existing code to improve site performance. Collaborated with UX designers and Back End Developers to ensure coherence between all parties. Also tested some feature prototypes for bugs and user experience.