init

workers/site/prompts/few_shots.ts

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+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!
+1. 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  
+Erdős would call this a combinatorial party with some guests arriving multiple times.
+2. 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.
+3. Step 3: Plug in the Values
+Let’s compute:  
+$$
+\frac{7!}{3! \cdot 1! \cdot 2! \cdot 1!} = 420
+$$
+
+4. 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'!
+1. 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
+2. Step 2: Apply the Permutation Formula for Repetition  
+The formula for such a case is:  
+$$
+\frac{n!}{k_1! \cdot k_2! \cdot \ldots \cdot k_m!}
+$$
+3. Step 3: Plug in the Values
+Here’s where we let the math do its magic:  
+$$
+\frac{11!}{1! \cdot 4! \cdot 4! \cdot 2!}
+$$
+4. Step 4: Simplify Step-by-Step  
+Let’s break it down:  
+- (11! = 39,916,800)  
+- (4! = 24)  
+- (2! = 2)  
+#### Substituting these values:  
+$$
+\frac{39,916,800}{1 \cdot 24 \cdot 24 \cdot 2} = 34,650
+$$
+5. Step 5: The Grand Finale
+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.`,
+};
+
+const c = {
+  // c remains unchanged as it contains image generation prompts
+  "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 all outputs.": `
+# Comprehensive Markdown Showcase
+## Headers
+~~~markdown
+# Large Header
+## Medium Header
+### Small Header
+~~~
+## Ordered Lists
+~~~markdown
+1. First Item
+2. Second Item
+   1. Subitem 1
+   2. Subitem 2
+3. Third Item
+~~~
+## Unordered Lists
+~~~markdown
+- First Item
+- Second Item
+  - Subitem 1
+  - Subitem 2
+~~~  
+## Links
+~~~markdown
+[Visit OpenAI](https://openai.com/)
+~~~
+## Images
+~~~markdown
+![Example Image](example.jpg)
+~~~
+![Example Image](example.jpg)
+## Inline Code
+~~~markdown
+\`console.log('Hello, Markdown!')\`
+~~~
+## Code Blocks
+\`\`\`markdown
+~~~javascript
+console.log(marked.parse('A Description List:\\n'
+                 + ':   Topic 1   :  Description 1\\n'
+                 + ': **Topic 2** : *Description 2*'));
+~~~
+\`\`\`
+## Tables
+~~~markdown
+| Name    | Value |
+|---------|-------|
+| Item A  | 10    |
+| Item B  | 20    |
+~~~
+## Blockquotes
+~~~markdown
+> Markdown makes writing beautiful.
+> - Markdown Fan
+~~~
+## Horizontal Rule
+~~~markdown
+---
+~~~
+## Font: Bold and Italic
+~~~markdown
+**Bold Text**  
+*Italic Text*
+~~~
+## Font: Strikethrough
+~~~markdown
+~~Struck-through text~~
+~~~
+---
+## Math: Inline 
+This is block level katex:
+~~~markdown
+$$
+c = \\\\pm\\\\sqrt{a^2 + b^2}
+$$
+~~~
+## Math: Block
+This is inline katex 
+~~~markdown
+$c = \\\\pm\\\\sqrt{a^2 + b^2}$
+~~~
+`,
+};
+
+export default { a, b, c, d };