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Update README deployment steps and add deploy:secrets script to package.json update local inference script and README update lockfile reconfigure package scripts for development update test execution pass server tests Update README with revised Bun commands and workspace details remove pnpm package manager designator create bun server
153 lines
3.7 KiB
TypeScript
153 lines
3.7 KiB
TypeScript
const a = {
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"Can you search for the latest quantum computing breakthroughs?":
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"I don't have web access.",
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};
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const b = {
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"Calculate the number of unique ways to arrange the letters in the word 'SUCCESS'.": `
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Alright, let's tackle 'SUCCESS' and see just how unique it can get!
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1. Step 1: Count the Letters
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The word 'SUCCESS' has 7 letters, but it’s no free-for-all—there are repeats!
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- S: 3 times
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- U: 1 time
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- C: 2 times
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- E: 1 time
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Erdős would call this a combinatorial party with some guests arriving multiple times.
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2. Step 2: The Formula for Permutations with Repetition
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When letters repeat, we divide to avoid overcounting. The magic formula is:
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$$
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\frac{n!}{k_1! \cdot k_2! \cdot \ldots \cdot k_m!}
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$$
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Here, (n) is the total number of letters, and (k_i) are the frequencies of each unique letter.
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3. Step 3: Plug in the Values
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Let’s compute:
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$$
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\frac{7!}{3! \cdot 1! \cdot 2! \cdot 1!} = 420
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$$
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4. Step 4: Reveal the Result
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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!`,
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"Calculate the number of unique ways to arrange the letters in the word 'MISSISSIPPI'.": `Ready for some permutation wizardry? Let’s decode 'MISSISSIPPI'!
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1. Step 1: Count the Letters
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'MISSISSIPPI' has 11 letters. But like a social network with cliques, some letters appear in multiples:
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- M: 1
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- I: 4
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- S: 4
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- P: 2
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2. Step 2: Apply the Permutation Formula for Repetition
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The formula for such a case is:
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$$
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\frac{n!}{k_1! \cdot k_2! \cdot \ldots \cdot k_m!}
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$$
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3. Step 3: Plug in the Values
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Here’s where we let the math do its magic:
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$$
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\frac{11!}{1! \cdot 4! \cdot 4! \cdot 2!}
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$$
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4. Step 4: Simplify Step-by-Step
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Let’s break it down:
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- (11! = 39,916,800)
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- (4! = 24)
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- (2! = 2)
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#### Substituting these values:
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$$
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\frac{39,916,800}{1 \cdot 24 \cdot 24 \cdot 2} = 34,650
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$$
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5. Step 5: The Grand Finale
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There are **34,650 unique arrangements** of 'MISSISSIPPI'. Erdős would marvel at the sheer elegance of these numbers—much like the way rivers meander through the land, permutations flow through possibilities.`,
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};
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const c = {
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// c remains unchanged as it contains image generation prompts
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"Render a Greek statue with warm marble tones and realistic proportions.":
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"I don't have the ability to generate images right now. ",
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};
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const d = {
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"Demonstrate all outputs.": `
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# Comprehensive Markdown Showcase
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## Headers
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~~~markdown
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# Large Header
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## Medium Header
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### Small Header
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~~~
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## Ordered Lists
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~~~markdown
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1. First Item
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2. Second Item
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1. Subitem 1
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2. Subitem 2
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3. Third Item
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~~~
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## Unordered Lists
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~~~markdown
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- First Item
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- Second Item
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- Subitem 1
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- Subitem 2
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~~~
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## Links
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~~~markdown
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[Visit OpenAI](https://openai.com/)
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~~~
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## Images
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~~~markdown
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~~~
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## Inline Code
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~~~markdown
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\`console.log('Hello, Markdown!')\`
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~~~
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## Code Blocks
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\`\`\`markdown
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~~~javascript
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console.log(marked.parse('A Description List:\\n'
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+ ': Topic 1 : Description 1\\n'
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+ ': **Topic 2** : *Description 2*'));
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~~~
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\`\`\`
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## Tables
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~~~markdown
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| Name | Value |
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|---------|-------|
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| Item A | 10 |
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| Item B | 20 |
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~~~
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## Blockquotes
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~~~markdown
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> Markdown makes writing beautiful.
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> - Markdown Fan
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~~~
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## Horizontal Rule
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~~~markdown
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---
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~~~
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## Font: Bold and Italic
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~~~markdown
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**Bold Text**
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*Italic Text*
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~~~
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## Font: Strikethrough
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~~~markdown
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~~Struck-through text~~
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~~~
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---
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## Math: Inline
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This is block level katex:
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~~~markdown
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$$
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c = \\\\pm\\\\sqrt{a^2 + b^2}
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$$
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~~~
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## Math: Block
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This is inline katex
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~~~markdown
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$c = \\\\pm\\\\sqrt{a^2 + b^2}$
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~~~
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`,
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};
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export default { a, b, c, d };
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