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luzhipeng
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/* | ||
* @lc app=leetcode id=108 lang=javascript | ||
* | ||
* [108] Convert Sorted Array to Binary Search Tree | ||
* | ||
* https://leetcode.com/problems/convert-sorted-array-to-binary-search-tree/description/ | ||
* | ||
* algorithms | ||
* Easy (49.37%) | ||
* Total Accepted: 255.2K | ||
* Total Submissions: 507.2K | ||
* Testcase Example: '[-10,-3,0,5,9]' | ||
* | ||
* Given an array where elements are sorted in ascending order, convert it to a | ||
* height balanced BST. | ||
* | ||
* For this problem, a height-balanced binary tree is defined as a binary tree | ||
* in which the depth of the two subtrees of every node never differ by more | ||
* than 1. | ||
* | ||
* Example: | ||
* | ||
* | ||
* Given the sorted array: [-10,-3,0,5,9], | ||
* | ||
* One possible answer is: [0,-3,9,-10,null,5], which represents the following | ||
* height balanced BST: | ||
* | ||
* 0 | ||
* / \ | ||
* -3 9 | ||
* / / | ||
* -10 5 | ||
* | ||
* | ||
*/ | ||
/** | ||
* Definition for a binary tree node. | ||
* function TreeNode(val) { | ||
* this.val = val; | ||
* this.left = this.right = null; | ||
* } | ||
*/ | ||
/** | ||
* @param {number[]} nums | ||
* @return {TreeNode} | ||
*/ | ||
var sortedArrayToBST = function(nums) { | ||
// 由于数组是排序好的,因此一个思路就是将数组分成两半,一半是左子树,另一半是右子树 | ||
// 然后运用“树的递归性质”递归完成操作即可。 | ||
if(nums.length === 0) return null; | ||
const mid = nums.length >> 1; | ||
const root = new TreeNode(nums[mid]); | ||
|
||
root.left = sortedArrayToBST(nums.slice(0, mid)); | ||
root.right = sortedArrayToBST(nums.slice(mid + 1)) | ||
return root; | ||
// 扩展: 这道题启示我们如果是一个非排序的数组,我们可以先进行排序然后再按上述思路进行。 | ||
}; | ||
|
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/* | ||
* @lc app=leetcode id=202 lang=javascript | ||
* | ||
* [202] Happy Number | ||
* | ||
* https://leetcode.com/problems/happy-number/description/ | ||
* | ||
* algorithms | ||
* Easy (44.36%) | ||
* Total Accepted: 227.2K | ||
* Total Submissions: 505.7K | ||
* Testcase Example: '19' | ||
* | ||
* Write an algorithm to determine if a number is "happy". | ||
* | ||
* A happy number is a number defined by the following process: Starting with | ||
* any positive integer, replace the number by the sum of the squares of its | ||
* digits, and repeat the process until the number equals 1 (where it will | ||
* stay), or it loops endlessly in a cycle which does not include 1. Those | ||
* numbers for which this process ends in 1 are happy numbers. | ||
* | ||
* Example: | ||
* | ||
* | ||
* Input: 19 | ||
* Output: true | ||
* Explanation: | ||
* 1^2 + 9^2 = 82 | ||
* 8^2 + 2^2 = 68 | ||
* 6^2 + 8^2 = 100 | ||
* 1^2 + 0^2 + 0^2 = 1 | ||
* | ||
*/ | ||
function squareSum(n) { | ||
let sum = 0, tmp; | ||
while (n) { | ||
tmp = n % 10; | ||
sum += tmp * tmp; | ||
n = Math.floor(n / 10); | ||
} | ||
return sum; | ||
} | ||
|
||
function isHappyWithMapper(n, visited) { | ||
if (n === 1) return true; | ||
if (visited[n]) return false; | ||
visited[n] = true; | ||
|
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return isHappyWithMapper(squareSum(n), visited); | ||
} | ||
/** | ||
* @param {number} n | ||
* @return {boolean} | ||
*/ | ||
var isHappy = function(n) { | ||
const visited = {}; | ||
|
||
return isHappyWithMapper(n, visited); | ||
}; | ||
|
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/* | ||
* @lc app=leetcode id=204 lang=javascript | ||
* | ||
* [204] Count Primes | ||
* | ||
* https://leetcode.com/problems/count-primes/description/ | ||
* | ||
* algorithms | ||
* Easy (28.33%) | ||
* Total Accepted: 229.8K | ||
* Total Submissions: 798.7K | ||
* Testcase Example: '10' | ||
* | ||
* Count the number of prime numbers less than a non-negative number, n. | ||
* | ||
* Example: | ||
* | ||
* | ||
* Input: 10 | ||
* Output: 4 | ||
* Explanation: There are 4 prime numbers less than 10, they are 2, 3, 5, 7. | ||
* | ||
* | ||
*/ | ||
/** | ||
* @param {number} n | ||
* @return {number} | ||
*/ | ||
var countPrimes = function(n) { | ||
// tag: 数论 | ||
// if (n <= 2) return 0; | ||
// let compositionCount = 0; | ||
// for(let i = 3; i < n; i++) { | ||
// for(let j = i - 1; j > 1 ; j--) { | ||
// if (i % j === 0) { | ||
// compositionCount++; | ||
// break; // 找到一个就可以证明它不是质数了 | ||
// } | ||
// } | ||
// } | ||
// return n - compositionCount - 2; // 需要减去1和n这两个数字 | ||
|
||
|
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// 上面的方法会超时,因此我们需要进行优化 | ||
// 数学角度来看,如果一个数字可以分解为两个数字相乘(这两个数字不包括0和它本身),那么它就是合数 | ||
const compositions = []; // compositions[i] 表示i是否是合数 | ||
let count = 0; | ||
for(let i = 2; i < n; i++) { | ||
if (!compositions[i]) count++; | ||
for(let j = 2; i * j < n; j++) { | ||
compositions[i * j] = true; | ||
} | ||
} | ||
|
||
return count; | ||
|
||
}; | ||
|
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/* | ||
* @lc app=leetcode id=21 lang=javascript | ||
* | ||
* [21] Merge Two Sorted Lists | ||
* | ||
* https://leetcode.com/problems/merge-two-sorted-lists/description/ | ||
* | ||
* algorithms | ||
* Easy (46.02%) | ||
* Total Accepted: 562.7K | ||
* Total Submissions: 1.2M | ||
* Testcase Example: '[1,2,4]\n[1,3,4]' | ||
* | ||
* Merge two sorted linked lists and return it as a new list. The new list | ||
* should be made by splicing together the nodes of the first two lists. | ||
* | ||
* Example: | ||
* | ||
* Input: 1->2->4, 1->3->4 | ||
* Output: 1->1->2->3->4->4 | ||
* | ||
* | ||
*/ | ||
/** | ||
* Definition for singly-linked list. | ||
* function ListNode(val) { | ||
* this.val = val; | ||
* this.next = null; | ||
* } | ||
*/ | ||
/** | ||
* @param {ListNode} l1 | ||
* @param {ListNode} l2 | ||
* @return {ListNode} | ||
*/ | ||
var mergeTwoLists = function(l1, l2) { | ||
let current = new ListNode(); | ||
const dummy = current; | ||
|
||
while (l1 || l2) { | ||
if (!l1) { | ||
current.next = l2; | ||
return dummy.next; | ||
} else if (!l2) { | ||
current.next = l1; | ||
return dummy.next; | ||
} | ||
|
||
if (l1.val <= l2.val) { | ||
current.next = l1; | ||
l1 = l1.next; | ||
} else { | ||
current.next = l2; | ||
l2 = l2.next; | ||
} | ||
|
||
current = current.next; | ||
} | ||
|
||
return dummy.next; | ||
|
||
// if (l1 === null) return l2; | ||
// if (l2 === null) return l1; | ||
// if (l1.val < l2.val) { | ||
// l1.next = mergeTwoLists(l1.next, l2); | ||
// return l1; | ||
// } else { | ||
// l2.next = mergeTwoLists(l1, l2.next); | ||
// return l2; | ||
// } | ||
}; |
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/* | ||
* @lc app=leetcode id=268 lang=javascript | ||
* | ||
* [268] Missing Number | ||
* | ||
* https://leetcode.com/problems/missing-number/description/ | ||
* | ||
* algorithms | ||
* Easy (47.60%) | ||
* Total Accepted: 267.7K | ||
* Total Submissions: 556.2K | ||
* Testcase Example: '[3,0,1]' | ||
* | ||
* Given an array containing n distinct numbers taken from 0, 1, 2, ..., n, | ||
* find the one that is missing from the array. | ||
* | ||
* Example 1: | ||
* | ||
* | ||
* Input: [3,0,1] | ||
* Output: 2 | ||
* | ||
* | ||
* Example 2: | ||
* | ||
* | ||
* Input: [9,6,4,2,3,5,7,0,1] | ||
* Output: 8 | ||
* | ||
* | ||
* Note: | ||
* Your algorithm should run in linear runtime complexity. Could you implement | ||
* it using only constant extra space complexity? | ||
*/ | ||
/** | ||
* @param {number[]} nums | ||
* @return {number} | ||
*/ | ||
var missingNumber = function(nums) { | ||
// 缺失的数字一定是 0 到 n 之间的一个数字 | ||
|
||
// 这是一道数论的题目 | ||
// 这里用到了一条性质: sum([1,n]) = n * (n+1) / 2 | ||
let sum = 0; | ||
for(let num of nums) | ||
sum += num; | ||
|
||
return (nums.length * (nums.length + 1) )/ 2 - sum; | ||
}; | ||
|
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