From ccfdabf13c21cadcae61f8749cd99bdfdb30953b Mon Sep 17 00:00:00 2001 From: beaumoaj Date: Mon, 1 Sep 2025 11:13:03 +0100 Subject: [PATCH 1/4] Added Workshop 4 - Arithmetic Progression --- .../ArithmenticProgression.md | 230 ++ .../alternateSolution.js | 22 + .../alternateSolution.test.js | 31 + .../package-lock.json | 3641 +++++++++++++++++ Problem_4_ArithmeticProgression/package.json | 14 + .../problem-04/Problem4StarterCode.zip | Bin 0 -> 1329 bytes .../problem-04/codelab.json | 24 + .../problem-04/cyfCodelab.css | 24 + .../problem-04/index.html | 234 ++ Problem_4_ArithmeticProgression/problem.md | 11 + Problem_4_ArithmeticProgression/solution.js | 35 + .../solution.test.js | 31 + .../yourSolution.js | 5 + .../yourSolution.test.js | 31 + 14 files changed, 4333 insertions(+) create mode 100644 Problem_4_ArithmeticProgression/ArithmenticProgression.md create mode 100644 Problem_4_ArithmeticProgression/alternateSolution.js create mode 100644 Problem_4_ArithmeticProgression/alternateSolution.test.js create mode 100644 Problem_4_ArithmeticProgression/package-lock.json create mode 100644 Problem_4_ArithmeticProgression/package.json create mode 100644 Problem_4_ArithmeticProgression/problem-04/Problem4StarterCode.zip create mode 100644 Problem_4_ArithmeticProgression/problem-04/codelab.json create mode 100644 Problem_4_ArithmeticProgression/problem-04/cyfCodelab.css create mode 100644 Problem_4_ArithmeticProgression/problem-04/index.html create mode 100644 Problem_4_ArithmeticProgression/problem.md create mode 100644 Problem_4_ArithmeticProgression/solution.js create mode 100644 Problem_4_ArithmeticProgression/solution.test.js create mode 100644 Problem_4_ArithmeticProgression/yourSolution.js create mode 100644 Problem_4_ArithmeticProgression/yourSolution.test.js diff --git a/Problem_4_ArithmeticProgression/ArithmenticProgression.md b/Problem_4_ArithmeticProgression/ArithmenticProgression.md new file mode 100644 index 0000000..1140157 --- /dev/null +++ b/Problem_4_ArithmeticProgression/ArithmenticProgression.md @@ -0,0 +1,230 @@ +author: Tony Beaumont +summary: Problem Solving: Find the missing number +id: problem-04 +categories: coding +environments: Web +status: Published +feedback link: mailto:a.j.beaumont@aston.ac.uk + +# Problem Solving: Find the missing number + +## Introduction + +This series of problem solving exercises are based on problems found on Codewars [https://www.codewars.com/](https://www.codewars.com/) or Hackerank [https://www.hackerrank.com/dashboard](https://www.hackerrank.com/dashboard). + +### What you should already know + +You should have attended the previous two problem solving sessions. You will have learned the outline procedure for solving problems by: + +
    +
  1. Understanding what the problem statement is asking you to do
  2. +
  3. Using abstraction to identify what is important
  4. +
  5. Using decomposition to break the problem down into smaller problems.
  6. +
  7. Solve the smaller problems, one at a time
  8. +
+You will get more practice on that today. + +### What you'll learn + +- How to use **abstraction** +- How to use **decomposition** +- How to use **repetition** +- How to use **arrays** + +### What you'll need + +No specific tools are required, although you will need to make notes so either pencil and paper or a text editor on your laptop. + +### What you'll do + +You will be presented with a problem. You will learn how to understand the problem and break the problem down into steps that help you work towards a solution. + +## Problem Description + +Todays problem can be found here: [https://www.codewars.com/kata/52de553ebb55d1fca3000371/train/javascript](https://www.codewars.com/kata/52de553ebb55d1fca3000371/train/javascript). + +After the class finishes, you should submit a solution to the problem using the link above. + +### Story + +We want to find the missing number in a list generated by an arithmetic progression. + +### Problem + +An Arithmetic Progression (AP) is defined as one in which there is a constant difference between the consecutive terms of a given series of numbers. You are provided with consecutive elements of an Arithmetic Progression. There is however one hitch: exactly one term from the original series is missing from the set of numbers which have been given to you. The rest of the given series is the same as the original AP. Find the missing term. + +You have to write a function that receives a list, the list size will always be at least 3 numbers. The missing term will never be the first or last one. + +### Example: + +```javascript +findMissing([1, 3, 5, 9, 11]) == 7; +``` + +## Understanding the problem + +1. Make sure you understand the problem. Important terms in the problem specification are **Arithmetic Progression**, **constant difference**, and **consecutive terms**. Discuss your definitions of these term. +1. **Discuss any questions as a group** and resolve any differences before continuing. + +## Understand the examples + +The example was: + +```javascript +findMissing([1, 3, 5, 9, 11]) == 7; +``` + +1. What is the arithmetic progression used to generate this list? +1. Why is 7 the missing number in this example? + +The test page on codewars contains the following test: + +```javascript +describe("Example tests", function () { + it("Testing with [1, 3, 4]", function () { + assert.strictEqual(findMissing([1, 3, 4]), 2); + }); +}); +``` + +This test says that for the list `[1, 3, 4]`, the expected answer is `2`. + +1. What is the arithmetic progression used to generate this list? +1. Why is 2 the missing number in this example? +1. Create another example using a different arithmetic progression + +## A larger set of tests + +Here are the tests I am providing today: + +```javascript +describe("Arithmetic progression", () => { + test("Testing with [1, 3, 4]", function () { + expect(findMissing([1, 3, 4])).toBe(2); + }); + + test("Testing with [1, 3, 5, 9, 11]", function () { + expect(findMissing([1, 3, 5, 9, 11])).toBe(7); + }); + + test("Testing with [1, 5, 9, 17]", function () { + expect(findMissing([1, 5, 9, 17])).toBe(13); + }); + + test("Testing with [7, 14, 28, 35]", function () { + expect(findMissing([7, 14, 28, 35])).toBe(21); + }); + + test("Testing with [1, 5, 7, 9]", function () { + expect(findMissing([1, 5, 7, 9])).toBe(3); + }); + + // and a challenge: does your solution also pass these tests + test("Testing with [[5, 0, -5, -15, -20]]", function () { + expect(findMissing([5, 0, -5, -15, -20])).toBe(-10); + }); + + test("Testing with [[-5, -15, -20]]", function () { + expect(findMissing([-5, -15, -20])).toBe(-10); + }); +}); +``` + +## Identify what is important + +1. Make a list of all the features of the problem that look important. Ignore anything that you think is not essential to solving the problem. +1. **Discuss your solution to this step as a group**. Does everyone have the same list of important elements or are there differences? Resolve your differences so everyone agrees what is important. + +## Use the important features to solve the problem + +In an arithmetic progression we have: + +
    +
  1. A starting number
  2. +
  3. An ending number
  4. +
  5. The difference between consecutive numbers in the full sequence is constant
  6. +
  7. If we know the difference between consecutive numbers, we can predict the next number in the sequence
  8. +
+ +We can split our problem into TWO steps + +- **Step 1**: we should find the **difference** between successive terms, +- **Step 2**: we use the difference to find an **unexpected** value in the sequence. + +### Example One + +Lets say we are given the list `[1, 5, 7, 9]` + +#### Ex1, Step 1 + +In the full sequence `[1, 3, 5, 7, 9]`, the difference is `2` (easy for us to see but not easy for a computer). + +#### Ex 1, Step 2 + +To find the missing number, we start with the first item in the list, which is `1`, add the difference (`1 + 2`) and **expect** the next value in the sequence to be `3`. The next value is **unexpectedly** `5`, so we know the **missing number** is `3`. + +### Example Two + +Lets say we are given the list `[1, 3, 5, 9]` + +#### Ex 2, Step 1 + +In the full sequence `[1, 3, 5, 7, 9]`, the difference is `2` (again, easy for us to see but not easy for a computer). + +#### Ex 2, Step 2 + +To find the missing number, we start with the first item in the list, which is `1`, add the difference (`1 + 2`) and **expect** the next value in the sequence to be `3`. We **repeat** that exercise, adding `3 + 2 = 5` and then `5 + 2 = 7` until we see the **unexpected** value which is `9` and not `7`. The missing value is `7`. + +## How to find the 'difference' + +In the full sequence `[1, 3, 5, 7, 9]`, the **difference** is 2. We can also think of it as the "gaps" between terms being the list `[2, 2, 2, 2]`. Note that the length of the full sequence is `5` but the number of "gaps" is only `4` (ie, length of the list `[2, 2, 2, 2]`). + +In the version we are given, with one value missing, `[1, 5, 7, 9]`, the differences are `[4, 2, 2]`. The first difference is the largest one, so it is easy for us to see that there is a number missing from the sequence between `1` and `5`. + +### Can we find an algorithm to calculate the difference? + +Remember, the problem specification said: + +```console +The missing term will never be the first or last one. +``` + +This is important to our solution. + +1. How many ways can you find to compute the **difference** between terms from the given list (ie the list with one value missing)? +1. We can reply on the first and last values as being present, so can you compute the difference using only the first and last values? + +## Computing the difference + +There is a way of computing the difference easily from the first and last value in the sequence. It relies on the fact that given the full sequence has `len` values in it, there are `len - 1` "gaps" and this gap is constant (ie it is the same every time). + +The **full** sequence is `[1, 3, 5, 7, 9]` + +The **gaps** are [2, 2, 2, 2]. We could think of the **range** of the sequence (from start to finish) as being `2 + 2 + 2 + 2 = 8`. + +Another way of calculating the **range** of the sequence is to subtract the first value from the last value. In this example we get `9 - 1 = 8`. + +The range has to be **shared equally** across the four "gaps". To share `8` across four "gaps" we perform the division `8 / 4 = 2` and this value `2` is our difference. + +Here is a fragment of code from step 1 of our solution: + +```javascript +const len = list.length; // remember the list has one item missing +const first = list[0]; +const last = list[len - 1]; +const range = last - first; +const difference = range / (len + 1 - 1); +// plus one because the list has a value missing and minus 1 to find the number of gaps +// we can simplify (len + 1 - 1) to len and use... +// const difference = range / len; +``` + +Can you write a solution to the whole problem now by adding the code for step 2? You can find some starter code here: [Problem4StarterCode.zip](Problem4StarterCode.zip). + +To use the starter code: + +1. Extract the zip file into a folder +1. Open that folder in VS Code +1. From VS code, open a new terminal in that folder. +1. In the terminal type the command `npm install` +1. To test your code run the command `npm test`. diff --git a/Problem_4_ArithmeticProgression/alternateSolution.js b/Problem_4_ArithmeticProgression/alternateSolution.js new file mode 100644 index 0000000..02bec98 --- /dev/null +++ b/Problem_4_ArithmeticProgression/alternateSolution.js @@ -0,0 +1,22 @@ +function findMissing(list) { + const len = list.length; + const first = list[0]; + const last = list[len - 1]; + + const range = last - first; + // remember that of a list of n elements (including the missing number), + // there are n - 1 gaps. len + 1 - 1 === len + const expectedGap = range / len; + + /* console.log( + `first is ${first}, last is ${last}, range is ${range}, expectedGap is ${expectedGap}` + ); */ + for (let i = 1; i < len; i++) { + const gap = list[i] - list[i - 1]; + if (gap !== expectedGap) { + return list[i - 1] + expectedGap; + } + } +} + +module.exports = findMissing; diff --git a/Problem_4_ArithmeticProgression/alternateSolution.test.js b/Problem_4_ArithmeticProgression/alternateSolution.test.js new file mode 100644 index 0000000..3736dfe --- /dev/null +++ b/Problem_4_ArithmeticProgression/alternateSolution.test.js @@ -0,0 +1,31 @@ +const findMissing = require("./alternateSolution"); + +describe("Arithmetic progression", () => { + test("Testing with [1, 3, 4]", function () { + expect(findMissing([1, 3, 4])).toBe(2); + }); + + test("Testing with [1, 3, 5, 9, 11]", function () { + expect(findMissing([1, 3, 5, 9, 11])).toBe(7); + }); + + test("Testing with [1, 5, 9, 17]", function () { + expect(findMissing([1, 5, 9, 17])).toBe(13); + }); + + test("Testing with [7, 14, 28, 35]", function () { + expect(findMissing([7, 14, 28, 35])).toBe(21); + }); + + test("Testing with [1, 5, 7, 9]", function () { + expect(findMissing([1, 5, 7, 9])).toBe(3); + }); + + test("Testing with [[5, 0, -5, -15, -20]]", function () { + expect(findMissing([5, 0, -5, -15, -20])).toBe(-10); + }); + + test("Testing with [[-5, -15, -20]]", function () 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"engines": { + "node": ">=12" + } + }, + "node_modules/yargs-parser": { + "version": "21.1.1", + "resolved": "https://registry.npmjs.org/yargs-parser/-/yargs-parser-21.1.1.tgz", + "integrity": "sha512-tVpsJW7DdjecAiFpbIB1e3qxIQsE6NoPc5/eTdrbbIC4h0LVsWhnoa3g+m2HclBIujHzsxZ4VJVA+GUuc2/LBw==", + "dev": true, + "license": "ISC", + "engines": { + "node": ">=12" + } + }, + "node_modules/yocto-queue": { + "version": "0.1.0", + "resolved": "https://registry.npmjs.org/yocto-queue/-/yocto-queue-0.1.0.tgz", + "integrity": "sha512-rVksvsnNCdJ/ohGc6xgPwyN8eheCxsiLM8mxuE/t/mOVqJewPuO1miLpTHQiRgTKCLexL4MeAFVagts7HmNZ2Q==", + "dev": true, + "license": "MIT", + "engines": { + "node": ">=10" + }, + "funding": { + "url": "https://github.com/sponsors/sindresorhus" + } + } + } +} diff --git a/Problem_4_ArithmeticProgression/package.json b/Problem_4_ArithmeticProgression/package.json new file mode 100644 index 0000000..77149a4 --- /dev/null +++ b/Problem_4_ArithmeticProgression/package.json @@ -0,0 +1,14 @@ +{ + "name": "arithmetic_progression", + "version": "1.0.0", + "description": "An Arithmetic Progression is defined as one in which there is a constant difference between the consecutive terms of a given series of numbers. You are provided with consecutive elements of an Arithmetic Progression. There is however one hitch: exactly one term from the original series is missing from the set of numbers which have been given to you. The rest of the given series is the same as the original AP. Find the missing term.You have to write a function that receives a list, list size will always be at least 3 numbers. The missing term will never be the first or last one.", + "main": "yourSolution.js", + "scripts": { + "test": "jest" + }, + "author": "Tony Beaumont", + "license": "ISC", + "devDependencies": { + "jest": "^29.7.0" + } +} diff --git a/Problem_4_ArithmeticProgression/problem-04/Problem4StarterCode.zip b/Problem_4_ArithmeticProgression/problem-04/Problem4StarterCode.zip new file mode 100644 index 0000000000000000000000000000000000000000..7ef38bbefbef58c8529503e37e90ad7220bfa9ac GIT binary patch literal 1329 zcmWIWW@Zs#-~d9aO0j4LC~#zEVBld;U?@mT&Q45E)ypc*&kGIVWned~T9E<6r4`%^ zj4UsJO2I^F(80Xh20VM8Yj@1yUVNL+x%#vj&yBSX#V?mOYh5;Ep2?+hGcWAR{qGv; zr;QTCrIqA?;O91_sMXRHwf@=DmwaIs|7g#z`A+D$PT+O(wwV@J*%Rbv-F{ZqxouAE zBxlQ1Gq2h9GG7WFDxADhq<%_wr%&Kam&|uZzlT)$m7ZExu2MQ5pge4IBqg|%L`lQJEGj|auKJUzSw`| z%{?#m+roIw3gIt7HTC{~Ue$0Omof^xveY7Er{PJzE3KPNuJALt-HkPvc{+ZQ|Fkc8 zn+_UYF^cLe=}DgIcp*f4&5x{t4dG5Ymu>b5ZK%w6u{$GraXPQsHpA{L>n}45ZL?NN zU%lFpGTY2-j>drf{ZvS}wS-5Hpzuf!Bu{V5%w72}^quT@f zzqH=9aM9&<7dUUhdir0*pQ?Q?UP{YHM9av>?EUcG|Ic~(_p{FLsL$S575|qlz?+>z zHbC|HRz?N}P^1UIlY?G0A~|>glLbF8IaKDC76s?$l$K=X=K<3MI7Qs7U6BF9Xeq*5 z`>eO#$usAJJx-tT{&-eL@7x*h>nBd?=v@q1@hm7n!%J6F_f)XKhG(muK00;QU-PWz zRqwSLC-k*6!#22HOFqjAbPhX5q--Ix6VL%5M0x*`}94TVv#GV6{2!uX2R-S58}F2H*~+{5O{RgQdy|6#pBY! z=Li3n-=Dj6vtm;In|H@r65cRoS5)Qos!u$B?q1C6{JY80y_+iwC#G6+-I`rpx95|Z zolT&Ll>2+Wc@objv}kPDcchxlg)8t$c}(zQ@pH+GRh|iT>#~1edv#@@QjpAo>&h=R z>Uxx`7HFhhjGerqlIMXk@8|i6nj0qtWUX59+$!Gq(05+b$tkv1W?rfBxLQ!B7&!m) ziqjuA-H-S`G3!p6&-!J0-;S0nI=I!$Cqzg!eyP{eb=w~I)*qO=Gvw-m-!88g=+E^B zg(=@IrN^Iu;Ry=40B=Sn5oSagfSepaWdICpX#}xIDG`uO1|=utm;@y!7}(Ot&%{7# q;zBkYlo*h`1WF7ru%&Swy5U47jR0>}HjpXIKq$$`z`(=;;sF5Uj_L#e literal 0 HcmV?d00001 diff --git a/Problem_4_ArithmeticProgression/problem-04/codelab.json b/Problem_4_ArithmeticProgression/problem-04/codelab.json new file mode 100644 index 0000000..6585104 --- /dev/null +++ b/Problem_4_ArithmeticProgression/problem-04/codelab.json @@ -0,0 +1,24 @@ +{ + "environment": "web", + "format": "html", + "prefix": "https://storage.googleapis.com", + "mainga": "UA-49880327-14", + "updated": "2025-08-22T15:20:28+01:00", + "id": "problem-04", + "duration": 0, + "title": "Problem Solving: Find the missing number", + "summary": "Problem Solving: Find the missing number", + "source": "ArithmenticProgression.md", + "theme": "", + "status": [ + "published" + ], + "category": [ + "coding" + ], + "tags": [ + "web" + ], + "feedback": "mailto:a.j.beaumont@aston.ac.uk", + "url": "problem-04" +} diff --git a/Problem_4_ArithmeticProgression/problem-04/cyfCodelab.css b/Problem_4_ArithmeticProgression/problem-04/cyfCodelab.css new file mode 100644 index 0000000..47c9053 --- /dev/null +++ b/Problem_4_ArithmeticProgression/problem-04/cyfCodelab.css @@ -0,0 +1,24 @@ +ol[type="1"]::before { + font-weight: bold; + font-size: 1.875em; + color: #9A1750; + content: "Activity:"; +} +ol[type="1"] { + padding-right: 1em; + border: thick double #E3AFBC; +} + +ol[type="1"] ol[type="1"]::before { + content: ""; +} + +ol[type="1"] ol[type="1"] { + border: none; +} + + +ul.checklist li::marker { + content: '\2714\0020'; /* '✓'; */ + color: green; +} diff --git a/Problem_4_ArithmeticProgression/problem-04/index.html b/Problem_4_ArithmeticProgression/problem-04/index.html new file mode 100644 index 0000000..268d42f --- /dev/null +++ b/Problem_4_ArithmeticProgression/problem-04/index.html @@ -0,0 +1,234 @@ + + + + + + + + + Problem Solving: Find the missing number + + + + + + + + + + +

This series of problem solving exercises are based on problems found on Codewars https://www.codewars.com/ or Hackerank https://www.hackerrank.com/dashboard.

+

What you should already know

+

You should have attended the previous two problem solving sessions. You will have learned the outline procedure for solving problems by:

+
    +
  1. Understanding what the problem statement is asking you to do
  2. +
  3. Using abstraction to identify what is important
  4. +
  5. Using decomposition to break the problem down into smaller problems.
  6. +
  7. Solve the smaller problems, one at a time
  8. +
+

You will get more practice on that today.

+

What you'll learn

+
    +
  • How to use abstraction
  • +
  • How to use decomposition
  • +
  • How to use repetition
  • +
  • How to use arrays
  • +
+

What you'll need

+

No specific tools are required, although you will need to make notes so either pencil and paper or a text editor on your laptop.

+

What you'll do

+

You will be presented with a problem. You will learn how to understand the problem and break the problem down into steps that help you work towards a solution.

+ + +
+ + +

Todays problem can be found here: https://www.codewars.com/kata/52de553ebb55d1fca3000371/train/javascript.

+

After the class finishes, you should submit a solution to the problem using the link above.

+

Story

+

We want to find the missing number in a list generated by an arithmetic progression.

+

Problem

+

An Arithmetic Progression (AP) is defined as one in which there is a constant difference between the consecutive terms of a given series of numbers. You are provided with consecutive elements of an Arithmetic Progression. There is however one hitch: exactly one term from the original series is missing from the set of numbers which have been given to you. The rest of the given series is the same as the original AP. Find the missing term.

+

You have to write a function that receives a list, the list size will always be at least 3 numbers. The missing term will never be the first or last one.

+

Example:

+
findMissing([1, 3, 5, 9, 11]) == 7;
+
+ + +
+ + +
    +
  1. Make sure you understand the problem. Important terms in the problem specification are Arithmetic Progression, constant difference, and consecutive terms. Discuss your definitions of these term.
  2. +
  3. Discuss any questions as a group and resolve any differences before continuing.
  4. +
+ + +
+ + +

The example was:

+
findMissing([1, 3, 5, 9, 11]) == 7;
+
+
    +
  1. What is the arithmetic progression used to generate this list?
  2. +
  3. Why is 7 the missing number in this example?
  4. +
+

The test page on codewars contains the following test:

+
describe("Example tests", function () {
+  it("Testing with [1, 3, 4]", function () {
+    assert.strictEqual(findMissing([1, 3, 4]), 2);
+  });
+});
+
+

This test says that for the list [1, 3, 4], the expected answer is 2.

+
    +
  1. What is the arithmetic progression used to generate this list?
  2. +
  3. Why is 2 the missing number in this example?
  4. +
  5. Create another example using a different arithmetic progression
  6. +
+ + +
+ + +

Here are the tests I am providing today:

+
describe("Arithmetic progression", () => {
+  test("Testing with [1, 3, 4]", function () {
+    expect(findMissing([1, 3, 4])).toBe(2);
+  });
+
+  test("Testing with [1, 3, 5, 9, 11]", function () {
+    expect(findMissing([1, 3, 5, 9, 11])).toBe(7);
+  });
+
+  test("Testing with [1, 5, 9, 17]", function () {
+    expect(findMissing([1, 5, 9, 17])).toBe(13);
+  });
+
+  test("Testing with [7, 14, 28, 35]", function () {
+    expect(findMissing([7, 14, 28, 35])).toBe(21);
+  });
+
+  test("Testing with [1, 5, 7, 9]", function () {
+    expect(findMissing([1, 5, 7, 9])).toBe(3);
+  });
+
+  // and a challenge: does your solution also pass these tests
+  test("Testing with [[5, 0, -5, -15, -20]]", function () {
+    expect(findMissing([5, 0, -5, -15, -20])).toBe(-10);
+  });
+
+  test("Testing with [[-5, -15, -20]]", function () {
+    expect(findMissing([-5, -15, -20])).toBe(-10);
+  });
+});
+
+ + +
+ + +
    +
  1. Make a list of all the features of the problem that look important. Ignore anything that you think is not essential to solving the problem.
  2. +
  3. Discuss your solution to this step as a group. Does everyone have the same list of important elements or are there differences? Resolve your differences so everyone agrees what is important.
  4. +
+ + +
+ + +

In an arithmetic progression we have:

+
    +
  1. A starting number
  2. +
  3. An ending number
  4. +
  5. The difference between consecutive numbers in the full sequence is constant
  6. +
  7. If we know the difference between consecutive numbers, we can predict the next number in the sequence
  8. +
+

We can split our problem into TWO steps

+
    +
  • Step 1: we should find the difference between successive terms,
  • +
  • Step 2: we use the difference to find an unexpected value in the sequence.
  • +
+

Example One

+

Lets say we are given the list [1, 5, 7, 9]

+

Ex1, Step 1

+

In the full sequence [1, 3, 5, 7, 9], the difference is 2 (easy for us to see but not easy for a computer).

+

Ex 1, Step 2

+

To find the missing number, we start with the first item in the list, which is 1, add the difference (1 + 2) and expect the next value in the sequence to be 3. The next value is unexpectedly 5, so we know the missing number is 3.

+

Example Two

+

Lets say we are given the list [1, 3, 5, 9]

+

Ex 2, Step 1

+

In the full sequence [1, 3, 5, 7, 9], the difference is 2 (again, easy for us to see but not easy for a computer).

+

Ex 2, Step 2

+

To find the missing number, we start with the first item in the list, which is 1, add the difference (1 + 2) and expect the next value in the sequence to be 3. We repeat that exercise, adding 3 + 2 = 5 and then 5 + 2 = 7 until we see the unexpected value which is 9 and not 7. The missing value is 7.

+ + +
+ + +

In the full sequence [1, 3, 5, 7, 9], the difference is 2. We can also think of it as the "gaps" between terms being the list [2, 2, 2, 2]. Note that the length of the full sequence is 5 but the number of "gaps" is only 4 (ie, length of the list [2, 2, 2, 2]).

+

In the version we are given, with one value missing, [1, 5, 7, 9], the differences are [4, 2, 2]. The first difference is the largest one, so it is easy for us to see that there is a number missing from the sequence between 1 and 5.

+

Can we find an algorithm to calculate the difference?

+

Remember, the problem specification said:

+
The missing term will never be the first or last one.
+
+

This is important to our solution.

+
    +
  1. How many ways can you find to compute the difference between terms from the given list (ie the list with one value missing)?
  2. +
  3. We can reply on the first and last values as being present, so can you compute the difference using only the first and last values?
  4. +
+ + +
+ + +

There is a way of computing the difference easily from the first and last value in the sequence. It relies on the fact that given the full sequence has len values in it, there are len - 1 "gaps" and this gap is constant (ie it is the same every time).

+

The full sequence is [1, 3, 5, 7, 9]

+

The gaps are [2, 2, 2, 2]. We could think of the range of the sequence (from start to finish) as being 2 + 2 + 2 + 2 = 8.

+

Another way of calculating the range of the sequence is to subtract the first value from the last value. In this example we get 9 - 1 = 8.

+

The range has to be shared equally across the four "gaps". To share 8 across four "gaps" we perform the division 8 / 4 = 2 and this value 2 is our difference.

+

Here is a fragment of code from step 1 of our solution:

+
const len = list.length; // remember the list has one item missing
+const first = list[0];
+const last = list[len - 1];
+const range = last - first;
+const difference = range / (len + 1 - 1);
+// plus one because the list has a value missing and minus 1 to find the number of gaps
+// we can simplify (len + 1 - 1) to len and use...
+// const difference = range / len;
+
+

Can you write a solution to the whole problem now by adding the code for step 2? You can find some starter code here: Problem4StarterCode.zip.

+

To use the starter code:

+
    +
  1. Extract the zip file into a folder
  2. +
  3. Open the folder in VS Code
  4. +
  5. Open a new terminal window in that folder.
  6. +
  7. In the terminal type the command npm install
  8. +
  9. To test your code run the command npm test.
  10. +
+ + +
+ +
+ + + + + + + + + diff --git a/Problem_4_ArithmeticProgression/problem.md b/Problem_4_ArithmeticProgression/problem.md new file mode 100644 index 0000000..5f15151 --- /dev/null +++ b/Problem_4_ArithmeticProgression/problem.md @@ -0,0 +1,11 @@ +An Arithmetic Progression is defined as one in which there is a constant difference between the consecutive terms of a given series of numbers. You are provided with consecutive elements of an Arithmetic Progression. There is however one hitch: exactly one term from the original series is missing from the set of numbers which have been given to you. The rest of the given series is the same as the original AP. Find the missing term. + +You have to write a function that receives a list, list size will always be at least 3 numbers. The missing term will never be the first or last one. + +Example + +``` +findMissing([1, 3, 5, 9, 11]) == 7 +``` + +PS: This is a sample question of the facebook engineer challenge on interviewstreet. I found it quite fun to solve on paper using math, derive the algo that way. Have fun! diff --git a/Problem_4_ArithmeticProgression/solution.js b/Problem_4_ArithmeticProgression/solution.js new file mode 100644 index 0000000..794699b --- /dev/null +++ b/Problem_4_ArithmeticProgression/solution.js @@ -0,0 +1,35 @@ +function findMissing(list) { + const gaps = findGaps(list); + //console.log(gaps); + const max = findMax(gaps); + console.log(`gaps ${gaps} max ${max}`); + const lower = max.start; + const upper = max.end; + console.log(`lower ${lower} upper ${upper}`); + const missing = lower + (max.end - max.start) / 2; + return missing; +} + +function findGaps(list) { + let max = 0; + const gaps = []; + for (let i = 1; i < list.length; i++) { + const diff = Math.abs(list[i] - list[i - 1]); + gaps.push({ start: list[i - 1], end: list[i], diff: diff }); + } + return gaps; +} + +function findMax(gaps) { + let max = 0; + let maxGap; + for (const gap of gaps) { + if (gap.diff > max) { + max = gap.diff; + maxGap = gap; + } + } + return maxGap; +} + +module.exports = findMissing; diff --git a/Problem_4_ArithmeticProgression/solution.test.js b/Problem_4_ArithmeticProgression/solution.test.js new file mode 100644 index 0000000..e2ff59d --- /dev/null +++ b/Problem_4_ArithmeticProgression/solution.test.js @@ -0,0 +1,31 @@ +const findMissing = require("./solution"); + +describe("Arithmetic progression", () => { + test("Testing with [1, 3, 4]", function () { + expect(findMissing([1, 3, 4])).toBe(2); + }); + + test("Testing with [1, 3, 5, 9, 11]", function () { + expect(findMissing([1, 3, 5, 9, 11])).toBe(7); + }); + + test("Testing with [1, 5, 9, 17]", function () { + expect(findMissing([1, 5, 9, 17])).toBe(13); + }); + + test("Testing with [7, 14, 28, 35]", function () { + expect(findMissing([7, 14, 28, 35])).toBe(21); + }); + + test("Testing with [1, 5, 7, 9]", function () { + expect(findMissing([1, 5, 7, 9])).toBe(3); + }); + + test("Testing with [[5, 0, -5, -15, -20]]", function () { + expect(findMissing([5, 0, -5, -15, -20])).toBe(-10); + }); + + test("Testing with [[-5, -15, -20]]", function () { + expect(findMissing([-5, -15, -20])).toBe(-10); + }); +}); diff --git a/Problem_4_ArithmeticProgression/yourSolution.js b/Problem_4_ArithmeticProgression/yourSolution.js new file mode 100644 index 0000000..0e9334c --- /dev/null +++ b/Problem_4_ArithmeticProgression/yourSolution.js @@ -0,0 +1,5 @@ +function findMissing(list) { + return 0; +} + +module.exports = findMissing; diff --git a/Problem_4_ArithmeticProgression/yourSolution.test.js b/Problem_4_ArithmeticProgression/yourSolution.test.js new file mode 100644 index 0000000..873eac4 --- /dev/null +++ b/Problem_4_ArithmeticProgression/yourSolution.test.js @@ -0,0 +1,31 @@ +const findMissing = require("./yourSolution"); + +describe("Arithmetic progression", () => { + test("Testing with [1, 3, 4]", function () { + expect(findMissing([1, 3, 4])).toBe(2); + }); + + test("Testing with [1, 3, 5, 9, 11]", function () { + expect(findMissing([1, 3, 5, 9, 11])).toBe(7); + }); + + test("Testing with [1, 5, 9, 17]", function () { + expect(findMissing([1, 5, 9, 17])).toBe(13); + }); + + test("Testing with [7, 14, 28, 35]", function () { + expect(findMissing([7, 14, 28, 35])).toBe(21); + }); + + test("Testing with [1, 5, 7, 9]", function () { + expect(findMissing([1, 5, 7, 9])).toBe(3); + }); + + test("Testing with [[5, 0, -5, -15, -20]]", function () { + expect(findMissing([5, 0, -5, -15, -20])).toBe(-10); + }); + + test("Testing with [[-5, -15, -20]]", function () { + expect(findMissing([-5, -15, -20])).toBe(-10); + }); +}); From 884c9f82a17c4089306e7d9577ebdbd818b694eb Mon Sep 17 00:00:00 2001 From: Daniel Wagner-Hall Date: Tue, 2 Sep 2025 13:34:14 +0100 Subject: [PATCH 2/4] Fix typo in name --- .../{ArithmenticProgression.md => ArithmeticProgression.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Problem_4_ArithmeticProgression/{ArithmenticProgression.md => ArithmeticProgression.md} (100%) diff --git a/Problem_4_ArithmeticProgression/ArithmenticProgression.md b/Problem_4_ArithmeticProgression/ArithmeticProgression.md similarity index 100% rename from Problem_4_ArithmeticProgression/ArithmenticProgression.md rename to Problem_4_ArithmeticProgression/ArithmeticProgression.md From beb7402129a455bbaf8e65e422fbb54a5afb5585 Mon Sep 17 00:00:00 2001 From: Daniel Wagner-Hall Date: Tue, 2 Sep 2025 14:18:57 +0100 Subject: [PATCH 3/4] Deleted generated files, generate starter in build script --- .gitignore | 2 + .../problem-04/Problem4StarterCode.zip | Bin 1329 -> 0 bytes .../problem-04/codelab.json | 24 -- .../problem-04/cyfCodelab.css | 24 -- .../problem-04/index.html | 234 ------------------ Problem_4_ArithmeticProgression/problem.md | 11 - .../{ => solutions}/alternateSolution.js | 0 .../{ => solutions}/alternateSolution.test.js | 0 .../{ => solutions}/solution.js | 0 .../{ => solutions}/solution.test.js | 0 .../{ => starter-code}/package-lock.json | 0 .../{ => starter-code}/package.json | 0 .../{ => starter-code}/yourSolution.js | 0 .../{ => starter-code}/yourSolution.test.js | 0 build.py | 5 +- 15 files changed, 6 insertions(+), 294 deletions(-) delete mode 100644 Problem_4_ArithmeticProgression/problem-04/Problem4StarterCode.zip delete mode 100644 Problem_4_ArithmeticProgression/problem-04/codelab.json delete mode 100644 Problem_4_ArithmeticProgression/problem-04/cyfCodelab.css delete mode 100644 Problem_4_ArithmeticProgression/problem-04/index.html delete mode 100644 Problem_4_ArithmeticProgression/problem.md rename Problem_4_ArithmeticProgression/{ => solutions}/alternateSolution.js (100%) rename Problem_4_ArithmeticProgression/{ => solutions}/alternateSolution.test.js (100%) rename Problem_4_ArithmeticProgression/{ => solutions}/solution.js (100%) rename Problem_4_ArithmeticProgression/{ => solutions}/solution.test.js (100%) rename Problem_4_ArithmeticProgression/{ => starter-code}/package-lock.json (100%) rename Problem_4_ArithmeticProgression/{ => starter-code}/package.json (100%) rename Problem_4_ArithmeticProgression/{ => starter-code}/yourSolution.js (100%) rename Problem_4_ArithmeticProgression/{ => starter-code}/yourSolution.test.js (100%) diff --git a/.gitignore b/.gitignore index b8372e6..199d4c6 100644 --- a/.gitignore +++ b/.gitignore @@ -1,2 +1,4 @@ +/build/ + # Emacs *~ diff --git a/Problem_4_ArithmeticProgression/problem-04/Problem4StarterCode.zip b/Problem_4_ArithmeticProgression/problem-04/Problem4StarterCode.zip deleted file mode 100644 index 7ef38bbefbef58c8529503e37e90ad7220bfa9ac..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 1329 zcmWIWW@Zs#-~d9aO0j4LC~#zEVBld;U?@mT&Q45E)ypc*&kGIVWned~T9E<6r4`%^ zj4UsJO2I^F(80Xh20VM8Yj@1yUVNL+x%#vj&yBSX#V?mOYh5;Ep2?+hGcWAR{qGv; 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- font-size: 1.875em; - color: #9A1750; - content: "Activity:"; -} -ol[type="1"] { - padding-right: 1em; - border: thick double #E3AFBC; -} - -ol[type="1"] ol[type="1"]::before { - content: ""; -} - -ol[type="1"] ol[type="1"] { - border: none; -} - - -ul.checklist li::marker { - content: '\2714\0020'; /* '✓'; */ - color: green; -} diff --git a/Problem_4_ArithmeticProgression/problem-04/index.html b/Problem_4_ArithmeticProgression/problem-04/index.html deleted file mode 100644 index 268d42f..0000000 --- a/Problem_4_ArithmeticProgression/problem-04/index.html +++ /dev/null @@ -1,234 +0,0 @@ - - - - - - - - - Problem Solving: Find the missing number - - - - - - - - - - -

This series of problem solving exercises are based on problems found on Codewars https://www.codewars.com/ or Hackerank https://www.hackerrank.com/dashboard.

-

What you should already know

-

You should have attended the previous two problem solving sessions. You will have learned the outline procedure for solving problems by:

-
    -
  1. Understanding what the problem statement is asking you to do
  2. -
  3. Using abstraction to identify what is important
  4. -
  5. Using decomposition to break the problem down into smaller problems.
  6. -
  7. Solve the smaller problems, one at a time
  8. -
-

You will get more practice on that today.

-

What you'll learn

-
    -
  • How to use abstraction
  • -
  • How to use decomposition
  • -
  • How to use repetition
  • -
  • How to use arrays
  • -
-

What you'll need

-

No specific tools are required, although you will need to make notes so either pencil and paper or a text editor on your laptop.

-

What you'll do

-

You will be presented with a problem. You will learn how to understand the problem and break the problem down into steps that help you work towards a solution.

- - -
- - -

Todays problem can be found here: https://www.codewars.com/kata/52de553ebb55d1fca3000371/train/javascript.

-

After the class finishes, you should submit a solution to the problem using the link above.

-

Story

-

We want to find the missing number in a list generated by an arithmetic progression.

-

Problem

-

An Arithmetic Progression (AP) is defined as one in which there is a constant difference between the consecutive terms of a given series of numbers. You are provided with consecutive elements of an Arithmetic Progression. There is however one hitch: exactly one term from the original series is missing from the set of numbers which have been given to you. The rest of the given series is the same as the original AP. Find the missing term.

-

You have to write a function that receives a list, the list size will always be at least 3 numbers. The missing term will never be the first or last one.

-

Example:

-
findMissing([1, 3, 5, 9, 11]) == 7;
-
- - -
- - -
    -
  1. Make sure you understand the problem. Important terms in the problem specification are Arithmetic Progression, constant difference, and consecutive terms. Discuss your definitions of these term.
  2. -
  3. Discuss any questions as a group and resolve any differences before continuing.
  4. -
- - -
- - -

The example was:

-
findMissing([1, 3, 5, 9, 11]) == 7;
-
-
    -
  1. What is the arithmetic progression used to generate this list?
  2. -
  3. Why is 7 the missing number in this example?
  4. -
-

The test page on codewars contains the following test:

-
describe("Example tests", function () {
-  it("Testing with [1, 3, 4]", function () {
-    assert.strictEqual(findMissing([1, 3, 4]), 2);
-  });
-});
-
-

This test says that for the list [1, 3, 4], the expected answer is 2.

-
    -
  1. What is the arithmetic progression used to generate this list?
  2. -
  3. Why is 2 the missing number in this example?
  4. -
  5. Create another example using a different arithmetic progression
  6. -
- - -
- - -

Here are the tests I am providing today:

-
describe("Arithmetic progression", () => {
-  test("Testing with [1, 3, 4]", function () {
-    expect(findMissing([1, 3, 4])).toBe(2);
-  });
-
-  test("Testing with [1, 3, 5, 9, 11]", function () {
-    expect(findMissing([1, 3, 5, 9, 11])).toBe(7);
-  });
-
-  test("Testing with [1, 5, 9, 17]", function () {
-    expect(findMissing([1, 5, 9, 17])).toBe(13);
-  });
-
-  test("Testing with [7, 14, 28, 35]", function () {
-    expect(findMissing([7, 14, 28, 35])).toBe(21);
-  });
-
-  test("Testing with [1, 5, 7, 9]", function () {
-    expect(findMissing([1, 5, 7, 9])).toBe(3);
-  });
-
-  // and a challenge: does your solution also pass these tests
-  test("Testing with [[5, 0, -5, -15, -20]]", function () {
-    expect(findMissing([5, 0, -5, -15, -20])).toBe(-10);
-  });
-
-  test("Testing with [[-5, -15, -20]]", function () {
-    expect(findMissing([-5, -15, -20])).toBe(-10);
-  });
-});
-
- - -
- - -
    -
  1. Make a list of all the features of the problem that look important. Ignore anything that you think is not essential to solving the problem.
  2. -
  3. Discuss your solution to this step as a group. Does everyone have the same list of important elements or are there differences? Resolve your differences so everyone agrees what is important.
  4. -
- - -
- - -

In an arithmetic progression we have:

-
    -
  1. A starting number
  2. -
  3. An ending number
  4. -
  5. The difference between consecutive numbers in the full sequence is constant
  6. -
  7. If we know the difference between consecutive numbers, we can predict the next number in the sequence
  8. -
-

We can split our problem into TWO steps

-
    -
  • Step 1: we should find the difference between successive terms,
  • -
  • Step 2: we use the difference to find an unexpected value in the sequence.
  • -
-

Example One

-

Lets say we are given the list [1, 5, 7, 9]

-

Ex1, Step 1

-

In the full sequence [1, 3, 5, 7, 9], the difference is 2 (easy for us to see but not easy for a computer).

-

Ex 1, Step 2

-

To find the missing number, we start with the first item in the list, which is 1, add the difference (1 + 2) and expect the next value in the sequence to be 3. The next value is unexpectedly 5, so we know the missing number is 3.

-

Example Two

-

Lets say we are given the list [1, 3, 5, 9]

-

Ex 2, Step 1

-

In the full sequence [1, 3, 5, 7, 9], the difference is 2 (again, easy for us to see but not easy for a computer).

-

Ex 2, Step 2

-

To find the missing number, we start with the first item in the list, which is 1, add the difference (1 + 2) and expect the next value in the sequence to be 3. We repeat that exercise, adding 3 + 2 = 5 and then 5 + 2 = 7 until we see the unexpected value which is 9 and not 7. The missing value is 7.

- - -
- - -

In the full sequence [1, 3, 5, 7, 9], the difference is 2. We can also think of it as the "gaps" between terms being the list [2, 2, 2, 2]. Note that the length of the full sequence is 5 but the number of "gaps" is only 4 (ie, length of the list [2, 2, 2, 2]).

-

In the version we are given, with one value missing, [1, 5, 7, 9], the differences are [4, 2, 2]. The first difference is the largest one, so it is easy for us to see that there is a number missing from the sequence between 1 and 5.

-

Can we find an algorithm to calculate the difference?

-

Remember, the problem specification said:

-
The missing term will never be the first or last one.
-
-

This is important to our solution.

-
    -
  1. How many ways can you find to compute the difference between terms from the given list (ie the list with one value missing)?
  2. -
  3. We can reply on the first and last values as being present, so can you compute the difference using only the first and last values?
  4. -
- - -
- - -

There is a way of computing the difference easily from the first and last value in the sequence. It relies on the fact that given the full sequence has len values in it, there are len - 1 "gaps" and this gap is constant (ie it is the same every time).

-

The full sequence is [1, 3, 5, 7, 9]

-

The gaps are [2, 2, 2, 2]. We could think of the range of the sequence (from start to finish) as being 2 + 2 + 2 + 2 = 8.

-

Another way of calculating the range of the sequence is to subtract the first value from the last value. In this example we get 9 - 1 = 8.

-

The range has to be shared equally across the four "gaps". To share 8 across four "gaps" we perform the division 8 / 4 = 2 and this value 2 is our difference.

-

Here is a fragment of code from step 1 of our solution:

-
const len = list.length; // remember the list has one item missing
-const first = list[0];
-const last = list[len - 1];
-const range = last - first;
-const difference = range / (len + 1 - 1);
-// plus one because the list has a value missing and minus 1 to find the number of gaps
-// we can simplify (len + 1 - 1) to len and use...
-// const difference = range / len;
-
-

Can you write a solution to the whole problem now by adding the code for step 2? You can find some starter code here: Problem4StarterCode.zip.

-

To use the starter code:

-
    -
  1. Extract the zip file into a folder
  2. -
  3. Open the folder in VS Code
  4. -
  5. Open a new terminal window in that folder.
  6. -
  7. In the terminal type the command npm install
  8. -
  9. To test your code run the command npm test.
  10. -
- - -
- -
- - - - - - - - - diff --git a/Problem_4_ArithmeticProgression/problem.md b/Problem_4_ArithmeticProgression/problem.md deleted file mode 100644 index 5f15151..0000000 --- a/Problem_4_ArithmeticProgression/problem.md +++ /dev/null @@ -1,11 +0,0 @@ -An Arithmetic Progression is defined as one in which there is a constant difference between the consecutive terms of a given series of numbers. You are provided with consecutive elements of an Arithmetic Progression. There is however one hitch: exactly one term from the original series is missing from the set of numbers which have been given to you. The rest of the given series is the same as the original AP. Find the missing term. - -You have to write a function that receives a list, list size will always be at least 3 numbers. The missing term will never be the first or last one. - -Example - -``` -findMissing([1, 3, 5, 9, 11]) == 7 -``` - -PS: This is a sample question of the facebook engineer challenge on interviewstreet. I found it quite fun to solve on paper using math, derive the algo that way. Have fun! diff --git a/Problem_4_ArithmeticProgression/alternateSolution.js b/Problem_4_ArithmeticProgression/solutions/alternateSolution.js similarity index 100% rename from Problem_4_ArithmeticProgression/alternateSolution.js rename to Problem_4_ArithmeticProgression/solutions/alternateSolution.js diff --git a/Problem_4_ArithmeticProgression/alternateSolution.test.js b/Problem_4_ArithmeticProgression/solutions/alternateSolution.test.js similarity index 100% rename from Problem_4_ArithmeticProgression/alternateSolution.test.js rename to Problem_4_ArithmeticProgression/solutions/alternateSolution.test.js diff --git a/Problem_4_ArithmeticProgression/solution.js b/Problem_4_ArithmeticProgression/solutions/solution.js similarity index 100% rename from Problem_4_ArithmeticProgression/solution.js rename to Problem_4_ArithmeticProgression/solutions/solution.js diff --git a/Problem_4_ArithmeticProgression/solution.test.js b/Problem_4_ArithmeticProgression/solutions/solution.test.js similarity index 100% rename from Problem_4_ArithmeticProgression/solution.test.js rename to Problem_4_ArithmeticProgression/solutions/solution.test.js diff --git a/Problem_4_ArithmeticProgression/package-lock.json b/Problem_4_ArithmeticProgression/starter-code/package-lock.json similarity index 100% rename from Problem_4_ArithmeticProgression/package-lock.json rename to Problem_4_ArithmeticProgression/starter-code/package-lock.json diff --git a/Problem_4_ArithmeticProgression/package.json b/Problem_4_ArithmeticProgression/starter-code/package.json similarity index 100% rename from Problem_4_ArithmeticProgression/package.json rename to Problem_4_ArithmeticProgression/starter-code/package.json diff --git a/Problem_4_ArithmeticProgression/yourSolution.js b/Problem_4_ArithmeticProgression/starter-code/yourSolution.js similarity index 100% rename from Problem_4_ArithmeticProgression/yourSolution.js rename to Problem_4_ArithmeticProgression/starter-code/yourSolution.js diff --git a/Problem_4_ArithmeticProgression/yourSolution.test.js b/Problem_4_ArithmeticProgression/starter-code/yourSolution.test.js similarity index 100% rename from Problem_4_ArithmeticProgression/yourSolution.test.js rename to Problem_4_ArithmeticProgression/starter-code/yourSolution.test.js diff --git a/build.py b/build.py index bf05a6c..efb7499 100644 --- a/build.py +++ b/build.py @@ -2,7 +2,6 @@ import os import shutil import subprocess -import time def main(): @@ -34,6 +33,10 @@ def main(): problems[problem_id] = problem_file + starter_dir = os.path.join(problem_dir, "starter-code") + if os.path.exists(starter_dir): + shutil.make_archive(os.path.join(build_dir, problem_id, "starter-code"), "zip", starter_dir) + index = """ From 36dffcccb71220a2770161fb164edd6ce85586d3 Mon Sep 17 00:00:00 2001 From: Daniel Wagner-Hall Date: Tue, 2 Sep 2025 14:19:56 +0100 Subject: [PATCH 4/4] Update file name --- Problem_4_ArithmeticProgression/ArithmeticProgression.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Problem_4_ArithmeticProgression/ArithmeticProgression.md b/Problem_4_ArithmeticProgression/ArithmeticProgression.md index 1140157..49a5647 100644 --- a/Problem_4_ArithmeticProgression/ArithmeticProgression.md +++ b/Problem_4_ArithmeticProgression/ArithmeticProgression.md @@ -219,7 +219,7 @@ const difference = range / (len + 1 - 1); // const difference = range / len; ``` -Can you write a solution to the whole problem now by adding the code for step 2? You can find some starter code here: [Problem4StarterCode.zip](Problem4StarterCode.zip). +Can you write a solution to the whole problem now by adding the code for step 2? You can find some starter code here: [starter-code.zip](starter-code.zip). To use the starter code: