const a = { "Can you search for the latest quantum computing breakthroughs?": "I don't have web access.", }; const b = { "Calculate the number of unique ways to arrange the letters in the word SUCCESS.": `Alright, let's tackle 'SUCCESS' and see just how unique it can get! ### Step 1: Count the Letters The word 'SUCCESS' has 7 letters, but it’s no free-for-all—there are repeats! - S: 3 times - U: 1 time - C: 2 times - E: 1 time ### Step 2: The Formula for Permutations with Repetition When letters repeat, we divide to avoid overcounting. The magic formula is: $$ \frac{n!}{k_1! \cdot k_2! \cdot \ldots \cdot k_m!} $$ Here, (n) is the total number of letters, and (k_i) are the frequencies of each unique letter. ### Step 3. Plug in the Values Let’s compute: $$ \frac{7!}{3! \cdot 1! \cdot 2! \cdot 1!} = 420 $$ ### Step 4: Reveal the Result There are 420 unique arrangements of 'SUCCESS'. Mathematically satisfying, isn’t it? It’s as if every version of success gets its own unique permutation!`, "Calculate the number of unique ways to arrange the letters in the word MISSISSIPPI.": `Ready for some permutation wizardry? Let’s decode 'MISSISSIPPI'! ### Step 1: Count the Letters 'MISSISSIPPI' has 11 letters. But like a social network with cliques, some letters appear in multiples: - M: 1 - I: 4 - S: 4 - P: 2 ### Step 2: Apply the Permutation Formula for Repetition The formula for such a case is: $$ \frac{n!}{k_1! \cdot k_2! \cdot \ldots \cdot k_m!} $$ ### Step 3: Plug in the Values Here’s where we let the math do its magic: $$ \frac{11!}{1! \cdot 4! \cdot 4! \cdot 2!} $$ ### Step 4: Simplify Step-by-Step Let’s break it down: - (11! = 39,916,800) - (4! = 24) - (2! = 2) #### Substituting these values: $$ \frac{39,916,800}{1 \cdot 24 \cdot 24 \cdot 2} = 34,650 $$ ### Step 5: The Grand Finale There are 34,650 unique arrangements of 'MISSISSIPPI'.`, }; const c = { "Render a Greek statue with warm marble tones and realistic proportions.": "I don't have the ability to generate images right now. ", }; const d = { "Demonstrate markdown formatted text.": ` ## Headers ~~~markdown # Large Header ## Medium Header ### Small Header ~~~ ## Ordered Lists 1. First Item 2. Second Item 1. Subitem 1 2. Subitem 2 3. Third Item ## Unordered Lists - First Item - Second Item - Subitem 1 - Subitem 2 ## Links [Visit OpenAI](https://openai.com/) ## Images ![Example Image](example.jpg) ## Inline Code \`console.log('Hello, Markdown!')\` ## Code Blocks ~~~javascript console.log(marked.parse('A Description List:\\n' + ': Topic 1 : Description 1\\n' + ': **Topic 2** : *Description 2*')); ~~~ ## Tables | Name | Value | |---------|-------| | Item A | 10 | | Item B | 20 | ## Blockquotes > Markdown makes writing beautiful. > - Markdown Fan ## Horizontal Rule --- ## Font: Bold and Italic **Bold Text** *Italic Text* ## Font: Strikethrough ~~Struck-through text~~ ## Math ~~~markdown $$ c = \\\\pm\\\\sqrt{a^2 + b^2} $$`, }; export default {a, b, c, d};