55-Jump-Game.js

/**
 * Time O(2^N) | Space O(N)
 * @param {number[]} nums
 * @return {boolean}
 */
 var canJump = (nums, index = 0) => {
    const isBaseCase = index === nums.length - 1;
    if (isBaseCase) return true;

    const furthestJump = Math.min(index + nums[index], (nums.length - 1));
    for (let nextIndex = (index + 1); nextIndex <= furthestJump; nextIndex++) {
        if (canJump(nums, nextIndex)) return true;
    }

    return false;
}

/**
 * Time O(N^2) | Space O(N)
 * @param {number[]} nums
 * @return {boolean}
 */
var canJump = (nums) => {
    const memo = new Array(nums.length).fill(0);
    memo[memo.length - 1] = 1;
    
    return canJumpFromIndex(nums, memo);
}

const canJumpFromIndex = (nums, memo, index = 0) => {
    if (memo[index] !== 0) return memo[index] === 1;

    const furthestJump = Math.min(index + nums[index], nums.length - 1);
    for (let nextIndex = (index + 1); nextIndex <= furthestJump; nextIndex++) {
        if (!canJumpFromIndex(nums, memo, nextIndex)) continue

        memo[index] = 1;
        return true;
    }

    memo[index] = -1;
    return false;
}

/**
 * Time O(N^2) | Space O(N)
 * @param {number[]} nums
 * @return {boolean}
 */
var canJump = (nums) => {
    const memo = new Array(nums.length).fill(0)
    memo[memo.length - 1] = 1;

    for (let i = (nums.length - 2); 0 <= i; i--) {
        const furthestJump = Math.min(i + nums[i], nums.length - 1);
        for (let j = (i + 1); j <= furthestJump; j++) {
            const isGood = memo[j] === 1
            if (isGood) { memo[i] = 1; break; }
        }
    }

    return memo[0] === 1;
}

/**
 * Time O(N) | Space O(1)
 * @param {number[]} nums
 * @return {boolean}
 */
var canJump = (nums, max = 0, index = 0) => {
    while (index < nums.length) {
        const num = nums[index]
        const jumps = num + index
        
        const canNotReachEnd = max < index
        if (canNotReachEnd) return false
        
        max = Math.max(max, jumps)
        index++
    }

    return true
}

/**
 * Time O(N) | Space O(1)
 * @param {number[]} nums
 * @return {boolean}
 */
var canJump = (nums, right = nums.length - 1) => {
    for (let i = right; 0 <= i; i--) {
        const isJumpable = right <= (i + nums[i])
        if (isJumpable) right = i;
    }

    return right === 0;
}