今日推荐开源项目：《文字识别 tesseract.js》
今日推荐英文原文：《Do You Know How to Solve These Programming Problems?》
今日推荐开源项目：《文字识别 tesseract.js》传送门：GitHub链接
推荐理由：OCR——Optical Character Recognition，即光学字符识别，简单地说就是获取特定图片上的文字的过程。这个项目是纯 JS 实现的各种语言的 OCR，除了常用的中英文以外提供了相当多语言的支持以防患于未然，即使抛开不常用的语言不提，这个项目的功能依然足够日常使用，通过项目提供的各种示例可以轻松上手。
今日推荐英文原文：《Do You Know How to Solve These Programming Problems?》作者：Daan
原文链接：https://medium.com/better-programming/do-you-know-how-to-solve-these-programming-problems-18d04defc05e
推荐理由：一些算法小题目
Do You Know How to Solve These Programming Problems?
Can you wrap your head around all of them?
Programming is about solving problems. In this piece, I’ve listed six programming problems from several sites that contain programming problems. The problems in this listed are sorted based on how difficult they are to solve — with number one on this list being the easiest, and number six being the most difficult to solve. Can you wrap your head around all of them? I provided the solutions to these programming problems, coded in PHP, at the bottom of this article. You can choose a programming language of your choice to solve these problems. Good luck solving these problems, and happy coding! Challenges1. Plus Minus
Let’s start with a relatively easy problem provided by HackerRank. This challenge is categorized as a warmup.
2. Two Sum
A challenge that’s considered easy, provided by LeetCode.
3. Largest palindrome product
This problem is provided by Project Euler and is considered one of the more easy problems. It’s currently solved by more than 455,000 people.
4. Distinct powers
Another challenge from Project Euler. This one is a little bit harder than the previous problem. It’s solved by around 100,000 people.
5. Kaprekars Constant
If you’ve made it up to this point: Congratulations! It’s time to start the first hard challenge. This challenge is provided by Coderbyte.
6. Swap Nodes in Pairs
Definitely the toughest challenge so far, this challenge is provided by LeetCode. Although it’s considered to be of medium difficulty, I found this one harder to solve than the Kaprekars Constant. This one requires you to know how linked lists work.
Solutions
1. Plus Minus
A really great problem to get you started with a solution that’s really straightforward.<?php
function getFractionals($numbers) {
$length = count($numbers);
$results = [
'positive' => 0,
'negative' => 0,
'zero' => 0,
];
for ($i = 0; $i < $length; $i++) {
if ($numbers[$i] < 0) {
$results['negative'] += 1;
} else if ($numbers[$i] > 0) {
$results['positive'] += 1;
} else {
$results['zero'] += 1;
}
}
return [
$results['positive'] / $length,
$results['negative'] / $length,
$results['zero'] / $length
];
}
print_r(getFractionals([1, 1, 0, -1, -1])); // [0.4, 0.4, 0.2]
print_r(getFractionals([-4, 3, -9, 0, 4, 1])); // [0.5, 0.3333, 0.16667]
2. Two Sum
Although this one’s a little bit harder than the first problem, you shouldn’t have too much trouble solving this one. I used a simple brute-force approach.<?php
function twoSum($numbers, $target) {
for ($i = 0; $i < count($numbers); $i++) {
for ($j = $i + 1; $j < count($numbers); $j++) {
if ($numbers[$j] + $numbers[$i] === $target) {
return [$i, $j];
}
}
}
}
print_r(twoSum([2, 7, 11, 15], 9)); // [0, 1]
print_r(twoSum([2, 7, 11, 15], 17)); // [0, 3]
3. Largest palindrome product
The solution I came up with has the advantage it can be used to find the biggest palindrome that’s the product of any two x-digit numbers. I’ve also added stop conditions to avoid unnecessary extra looping.<?php
function isPalindrome($number) {
return (string) $number === strrev((string) $number);
}function getBiggestPalindrome($digits) {
$start = pow(10, $digits) - 1;
$max = 0;for ($i = $start; $i > 0; $i--) {
if ($i * $start <= $max) {
break;
}for ($j = $start; $j > 0; $j--) {
$product = $i * $j;if ($product < $max) {
break;
}if ($product > $max && isPalindrome($product)) {
$max = $product;
}
}
}return $max;
}
echo getBiggestPalindrome(2); // 9009
echo getBiggestPalindrome(3); // 906609, which is 993 * 913
4. Distinct powers
I solved the distinct powers problem by going the brute-force route. Add each result to the array, and then remove duplicates from the array. The last step is to sort the array.<?php
function distinctPowers($min, $max) {
$numbers = [];
for ($i = $min; $i <= $max; $i++) {
for ($j = $min; $j <= $max; $j++) {
$numbers[] = pow($i, $j);
}
}
$unique_numbers = array_unique($numbers);
sort($unique_numbers);
return $unique_numbers;
}
echo print_r(distinctPowers(2, 5), 1); // [4, 8, 9, 16, 25, 27, 32, 64, 81, 125, 243, 256, 625, 1024, 3125]
echo print_r(count(distinctPowers(2, 100)), 1); // 9183 distinct terms
5. Kaprekars Constant
The Kaprekars Constant problem is a little bit harder to solve. It’s the first problem in this list that requires recursion to solve the problem.function KaprekarsConstant($number, $numberOfIterations = 1) {
$number = (string) $number;
if (strlen($number) < 4) {
for ($i = strlen($number); $i < 4; $i++) {
$number .= '0';
}
}
$asc = str_split($number);
$desc = $asc;
rsort($desc);
sort($asc);
$asc_number = (int) implode($asc, '');
$desc_number = (int) implode($desc, '');
$difference = abs($asc_number - $desc_number);
if ($difference !== 6174) {
return KaprekarsConstant($difference, $numberOfIterations + 1);
}
return $numberOfIterations;
}
echo KaprekarsConstant(2111); // 5
echo KaprekarsConstant(9831); // 7
A screenshot of passing all test cases
6. Swap Nodes in Pairs
This one took me a while to figure out. The trick in my solution is to pass variables by reference instead of by value. Still, this one might take some time to get your head around.function swapPairs($head) {
$current = &$head;
while (!is_null($current->next)) {
$nextValue = $current->next->val;
$temp = &$current;
$temp->next->val = $temp->val;
$temp->val = $nextValue;
$current = &$current->next->next;
}
return $head;
}
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