858. Mirror Reflection
Posted Updated LeetCode / Medium2 minutes read (About 326 words)

858. Mirror Reflection

Question

There is a special square room with mirrors on each of the four walls. Except for the southwest corner, there are receptors on each of the remaining corners, numbered 0, 1, and 2.

The square room has walls of length p and a laser ray from the southwest corner first meets the east wall at a distance q from the 0<sup>th</sup> receptor.

Given the two integers p and q, return the number of the receptor that the ray meets first.

The test cases are guaranteed so that the ray will meet a receptor eventually.

Solution

激光在箱子里折射，可以想象成在无限延展的空间内直线发射光线。
因此三个接收器可以被视作组成了一个无限延展的矩阵。

只需要将q和p化简，然后确定坐标(q, p)所对应的接收器即可。
由于接收器是间隔的，因此只需要先化简q，p后计算两者的奇偶性即可。

如果q与p皆为奇数，则返回1号接收器。
如果q是奇数，p不是，则返回0号接收器。
如果p是奇数，q不是，则返回2号接收器。

Code

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class Solution {
    public int mirrorReflection(int p, int q) {
        int gcd = gcd(p, q);
        p/=gcd;
        q/=gcd;
        boolean xIsOdd = (p & 1) == 1, yIsOdd = (q & 1) == 1;
        if(xIsOdd && yIsOdd) return 1;
        else if(xIsOdd) return 0;
        else return 2;
    }
    
    private int gcd(int a, int b){
        if(a == b) return a;
        if(a > b) return gcd(b, a-b);
        else return gcd(a, b-a);
    }
}
729. My Calendar I
Posted Updated LeetCode / Medium / 复习2 minutes read (About 361 words)

729. My Calendar I

Question

You are implementing a program to use as your calendar. We can add a new event if adding the event will not cause a double booking.

A double booking happens when two events have some non-empty intersection (i.e., some moment is common to both events.).

The event can be represented as a pair of integers start and end that represents a booking on the half-open interval [start, end), the range of real numbers x such that start <= x < end.

Implement the MyCalendar class:

  • MyCalendar() Initializes the calendar object.
  • boolean book(int start, int end) Returns true if the event can be added to the calendar successfully without causing a double booking. Otherwise, return false and do not add the event to the calendar.

Solution

有更快速的解法，需要用到TreeMap，有时间再研究。

使用一个队列记录已经预定的范围。
添加无穷大到队列中，方便后期计算。

当预定新的时间段时，遍历队列，如果上一个数组的最大值小于start和end且当前遍历数组大于start和end，则可以预定，将当前的数组插入当前位置，并返回true。
如果没有满足条件的，则返回false。

Code

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class MyCalendar {
    List<int[]> arr;
    public MyCalendar() {
        arr = new ArrayList<>();
        int[] inf = new int[2];
        inf[0] = Integer.MAX_VALUE;
        inf[1] = Integer.MAX_VALUE;
        arr.add(inf);
    }
    
    public boolean book(int start, int end) {
        int[] last = new int[2];
        for(int i = 0; i < arr.size(); i++){
            int[] curr = arr.get(i);
            if(last[1] < end && last[1] <= start && curr[0] >= end && curr[0] > start){
                int[] n = new int[2];
                n[0] = start;
                n[1] = end;
                arr.add(i, n);
                return true;
            }
            last = curr;
        }
        return false;
    }
}

/**
 * Your MyCalendar object will be instantiated and called as such:
 * MyCalendar obj = new MyCalendar();
 * boolean param_1 = obj.book(start,end);
 */
890. Find and Replace Pattern
Posted Updated LeetCode / Medium2 minutes read (About 323 words)

890. Find and Replace Pattern

Question

Given a list of strings words and a string pattern, return a list of words[i] that match pattern. You may return the answer in any order.

A word matches the pattern if there exists a permutation of letters p so that after replacing every letter x in the pattern with p(x), we get the desired word.

Recall that a permutation of letters is a bijection from letters to letters: every letter maps to another letter, and no two letters map to the same letter.

Solution

遍历words，对pattern和words中的字符建立映射。
used[]数组记录访问状况。

如未建立映射关系，且word中的字符已建立映射，则不在结果中添加当前字符串。
如未建立映射，则建立新的word与pattern的映射关系。
如果当前已经建立映射，但是当前字符违反了映射关系，则不在结果中添加当前字符串。

Code

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class Solution {
    public List<String> findAndReplacePattern(String[] words, String pattern) {
        List<String> ret = new ArrayList<>();
        for(String word : words){
            HashMap<Character, Character> map = new HashMap<>();    //map characters from pattern and words
            boolean isSamePattern = true;
            int[] used = new int[26];
            
            for(int i = 0; i < word.length(); i++){
                char pc = pattern.charAt(i), wc = word.charAt(i);
                if( !map.containsKey(pc) ){
                    if(used[wc-'a'] == 0){  //add new map if there is no map between characters and the character in word is not used
                        map.put( pc, wc );
                        used[wc-'a']++;
                    }
                    else{
                        isSamePattern = false;
                        break;
                    }
                }
                else if( map.get(pc) != wc ){   //drop the word if not follow the pattern
                    isSamePattern = false;
                    break;
                }
            }
            if(isSamePattern) ret.add(word);
        }
        return ret;
    }
}
114. Flatten Binary Tree to Linked List
Posted Updated LeetCode / Medium / 复习2 minutes read (About 343 words)

114. Flatten Binary Tree to Linked List

Question

Given the root of a binary tree, flatten the tree into a “linked list”:

  • The “linked list” should use the same TreeNode class where the right child pointer points to the next node in the list and the left child pointer is always null.
  • The “linked list” should be in the same order as a pre-order** traversal** of the binary tree.

Solution

全局变量prev，初始化为null，用来记录上一个访问的节点。

由于最后要达到先序遍历（根节点-左子节点-右子节点）的数据结构顺序，因此在进行访问时需要与先序遍历的操作相反，首先递归右子节点，然后递归左子节点，最后修改当前节点。

先遍历当前节点的右侧节点，再遍历当前节点的左侧节点。
最后处理当前节点，将左子节点设置为null，右子节点设置为prev。
最后将当前节点保存在prev上。

Code

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/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode() {}
 *     TreeNode(int val) { this.val = val; }
 *     TreeNode(int val, TreeNode left, TreeNode right) {
 *         this.val = val;
 *         this.left = left;
 *         this.right = right;
 *     }
 * }
 */
class Solution {
    TreeNode prev = null;
    public void flatten(TreeNode root) {
        if(root == null) return;
        flatten(root.right);    //traverse right nodes first
        flatten(root.left); //traverse left nodes
        root.left = null;   //set current node's left child node to null
        root.right = prev;  //set current node's right child node to previous node
        prev = root;    //update previous node
    }
}
34. Find the Element in Sorted Array
Posted Updated LeetCode / Mediuma minute read (About 155 words)

34. Find the Element in Sorted Array

Question

Given an array of integers nums sorted in non-decreasing order, find the starting and ending position of a given target value.

If target is not found in the array, return [-1, -1].

You must write an algorithm with O(log n) runtime complexity.

Solution

二分搜索，首先搜索target。如果搜索到结果为负数，则返回[-1, -1]。
如果搜索到target，则记录index。
然后从index向两边搜索，直到找到界限并返回。

Code

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class Solution {
    public int[] searchRange(int[] nums, int target) {
        int[] ret = new int[2];
        int index = 0;
        index = Arrays.binarySearch(nums, target);
        if(index < 0){
            ret[0] = -1;
            ret[1] = -1;
            return ret;
        }
        int less = index, more = index;
        while(less >= 0 && nums[less] == target) less--;
        while(more < nums.length && nums[more] == target) more++;
        
        ret[0] = less + 1;
        ret[1] = more - 1;
        return ret;
    }
}
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