[recent force buckle] word split + merge interval + linked list sorting + adjust the array order so that the odd number precedes the even number

Posted by shorty114 on Sun, 20 Feb 2022 04:15:26 +0100

Word splitting (medium)

  • dynamic programming
    • ”Whether leetcode "can be composed and decomposed into - whether" l "is stored in the dictionary and subsequent substrings can be composed when the step size is 1, etc; When the step size is 2, "le" is stored in the dictionary and subsequent substrings can be composed, etc; When the step size is 3, whether "lee" is stored in the dictionary and subsequent substrings can be composed, etc
    • By analogy, let dp[i] indicate whether the string of s[0, i] can be composed, and let j be the current step size. If dp[i] is true, dp[j] must be true and s[j, i - j] must exist in the dictionary, so the recursive formula is derived: dp[i] = dp[j] & & istrue (s[j, i - j])
var wordBreak = function(s, wordDict) {
	// It is convenient to use the has method to determine whether the Set object is true or not
    let set = new Set(wordDict)
    // If the filled array is false, why should there be one more bit?
    let dp = new Array(s.length + 1).fill(false)
    dp[0] = true // Boundary: define empty string as true
    // i can be equal to s.length. What's the connection with one more bit above? Think about substr usage
    for (let i = 1; i <= s.length; i++) {
    	// The word length cannot exceed the length of the substring currently judged
        for (let j = 0; j < i; j++) {
            if (dp[j] && set.has(s.substr(j, i - j))) {
                dp[i] = true
                break
            }
        }
    }
    return dp[s.length]
};

Consolidation interval (medium)

  • Sorting: as long as the interval set is arranged in ascending order according to the left end point, the merging conditions can be simplified - as long as the left end point of the second interval falls in the first interval and the right end point is not, the two intervals can be merged. If not sorted? The merging area is separated by a certain distance, and the judgment conditions will be much more complex
var merge = function(intervals) {
    intervals.sort((a, b) => a[0] - b[0])
    let res = []
    let cur = intervals[0]
    for (let i = 1; i < intervals.length; i++) {
    	// Judge whether the left end point of the current interval falls in the interval of cur
        if (cur[1] >= intervals[i][0]) {
        	// Judge right endpoint
            if (cur[1] < intervals[i][1]) {
            	// merge
                cur = [cur[0], intervals[i][1]]
            } 
        } else {
            res.push(cur)
            cur = intervals[i]
        }
    }
    res.push(cur)
    return res
};

Linked list sorting (medium)

  • Merge sort
    • The time complexity of O(nlogn) is required for advanced level. Merge sort, quick sort and heap sort are naturally thought of. Merge sort is selected here
    • In fact, this problem can be decomposed into the combination of merging and sorting + double pointer finding the midpoint of single linked list + merging two sorting linked lists. On the whole, the writing of changing the question is still too complicated. It would be better to use more JS ready-made methods
var sortList = function(head) {
    if (!head || !head.next) return head
    let left = head
    let right
    let slow = head, fast = head.next
    // Double pointer to find the midpoint of the linked list
    while (fast && fast.next) {
        slow = slow.next
        fast = fast.next.next
    }
    right = slow.next
    slow.next = null
    // Merging two sorting linked lists
    let merge = (l, r) => {
        let head = new ListNode(0)
        let cur = head
        while (l !== null && r !== null) {
            if (l.val < r.val) {
                cur.next = l
                l = l.next
            } else {
                cur.next = r
                r = r.next
            }
            cur = cur.next
        }
        if (l) cur.next = l
        if (r) cur.next = r
        return head.next
    }
    // Merge and sort
    return merge(sortList(left), sortList(right))
};

Adjust the array order so that odd numbers precede even numbers (simple)

  • Violence: for loop judgment parity
var exchange = function(nums) {
    let a1 = [], a2 = []
    for (let i = 0; i < nums.length; i++) {
        nums[i] % 2 === 0 ? a2.push(nums[i]) : a1.push(nums[i])
    }
    return [...a1, ...a2]
}
  • Double pointers: Double pointers point to both ends and traverse to the middle (asynchronous). As long as the left pointer points to an even number and the right pointer points to an odd number, two numbers will be exchanged
var exchange = function(nums) {
    for (let i = 0, j = nums.length - 1; i < j;) {
        if (nums[i] % 2 === 0 && nums[j] % 2 === 1) {
            [nums[i], nums[j]] = [nums[j], nums[i]]
            i++
            j--
            continue
        }
        nums[i] % 2 === 0 ? j-- : i++
    }
    return nums
};

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Topics: Algorithm leetcode linked list Dynamic Programming