[OpenAI] GPT-4o ๋‹ค์Œ ๋ฒ„์ „ ๋–ด๋‚˜!?

Posted by Euisuk's Dev Log on September 13, 2024

[OpenAI] GPT-4o ๋‹ค์Œ ๋ฒ„์ „ ๋–ด๋‚˜!?

์›๋ณธ ๊ฒŒ์‹œ๊ธ€: https://velog.io/@euisuk-chung/OpenAI-GPT-4o-๋‹ค์Œ-๋ฒ„์ „-๋–ด๋‚˜

์ตœ๊ทผ AI์˜ ๋ฐœ์ „ ์†๋„๋Š” ๊ฐ€ํžˆ ๋†€๋ผ์šธ ์ •๋„์ž…๋‹ˆ๋‹ค. ํŠนํžˆ OpenAI์˜ ์ƒˆ๋กœ์šด ๋ชจ๋ธ GPT-o1์€ ๊ธฐ์กด ๋ชจ๋ธ์ธ GPT-4o์— ๋น„ํ•ด ๊ด„๋ชฉํ•  ๋งŒํ•œ ์„ฑ๋Šฅ ํ–ฅ์ƒ์„ ๋ณด์—ฌ์ฃผ๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค. GPT-o1์€ ๋ณต์žกํ•œ ์ถ”๋ก ์„ ๋” ์ž˜ ์ˆ˜ํ–‰ํ•˜๊ณ , ๋‹ค์–‘ํ•œ ๋ฌธ์ œ ํ•ด๊ฒฐ ๋Šฅ๋ ฅ์—์„œ ์‚ฌ๋žŒ ์ˆ˜์ค€์˜ ์„ฑ๊ณผ๋ฅผ ๋ณด์—ฌ์ฃผ๋ฉฐ, ์•ˆ์ „์„ฑ ๋ฉด์—์„œ๋„ ๋›ฐ์–ด๋‚œ ์„ฑ๊ณผ๋ฅผ ๊ธฐ๋กํ•˜๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค.

์ด๋ฒˆ ๊ธ€์—์„œ๋Š” 24๋…„ 9์›” 12์ผ์— ๋”ฐ๋ˆ๋”ฐ๋ˆํ•˜๊ฒŒ ๋ฐœํ‘œ๋œ GPT-o1(์ผ๋ช… ๐Ÿ“)์˜ ์ฃผ์š” ๊ฐœ์„ ์ ๊ณผ GPT-4o์™€ ๋น„๊ตํ•ด ์–ด๋–ค ์ ์ด ๋ฐœ์ „ํ–ˆ๋Š”์ง€ ์‚ดํŽด๋ณด๊ฒ ์Šต๋‹ˆ๋‹ค.

GPT-o1: ๋” ๊นŠ์€ ์ถ”๋ก  ๋Šฅ๋ ฅ

GPT-o1์€ ์ถ”๋ก  ๋Šฅ๋ ฅ์ด ํฌ๊ฒŒ ํ–ฅ์ƒ๋œ ๊ฒƒ์ด ํŠน์ง•์ž…๋‹ˆ๋‹ค. ์ด์ „ ๋ชจ๋ธ์ธ GPT-4o์™€ ๋‹ฌ๋ฆฌ GPT-o1์€ ๋‹ต๋ณ€์„ ๋‚ด๋ฆฌ๊ธฐ ์ „ ๋‚ด์  ์‚ฌ๊ณ ์˜ ์—ฐ์‡„(Chain of Thought, CoT)๋ฅผ ํ†ตํ•ด ๋ฌธ์ œ๋ฅผ ๋‹จ๊ณ„์ ์œผ๋กœ ๋ถ„์„ํ•ฉ๋‹ˆ๋‹ค.

์ด ๊ณผ์ •์„ ํ†ตํ•ด ๋ชจ๋ธ์€ ๋ณต์žกํ•œ ๋ฌธ์ œ๋ฅผ ์—ฌ๋Ÿฌ ๋‹จ๊ณ„๋กœ ๋‚˜๋ˆ„์–ด ํ•ด๊ฒฐํ•˜๋ฉฐ, ๊ฐ ๋‹จ๊ณ„์—์„œ ์‹ค์ˆ˜๋ฅผ ์ธ์‹ํ•˜๊ณ  ์ˆ˜์ •ํ•˜๋Š” ๋Šฅ๋ ฅ์„ ๋ฐฐ์–‘ํ–ˆ์Šต๋‹ˆ๋‹ค. ๊ทธ ๊ฒฐ๊ณผ ์ˆ˜ํ•™, ์ฝ”๋”ฉ, ๊ณผํ•™ ๋ฌธ์ œ ๋“ฑ์—์„œ ์ธ๊ฐ„ ์ „๋ฌธ๊ฐ€ ์ˆ˜์ค€์— ๊ทผ์ ‘ํ•˜๋Š” ์„ฑ๊ณผ๋ฅผ ๋ณด์—ฌ์ฃผ๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค.

์„ฑ๋Šฅ ๋น„๊ต: GPT-4o vs GPT-o1

๋‹ค์–‘ํ•œ ํ…Œ์ŠคํŠธ ๊ฒฐ๊ณผ GPT-o1์€ GPT-4o์— ๋น„ํ•ด ์ถ”๋ก  ์ค‘์‹ฌ ์ž‘์—…์—์„œ ์›”๋“ฑํ•œ ์„ฑ๊ณผ๋ฅผ ๊ธฐ๋กํ–ˆ์Šต๋‹ˆ๋‹ค.

  • ์ˆ˜ํ•™ ๋Œ€ํšŒ(AIME 2024): GPT-4o๋Š” ํ‰๊ท ์ ์œผ๋กœ 12%์˜ ๋ฌธ์ œ๋งŒ ํ’€์—ˆ์ง€๋งŒ, GPT-o1์€ 74% ์ด์ƒ์˜ ๋ฌธ์ œ๋ฅผ ํ•ด๊ฒฐํ•˜๋ฉฐ ํฐ ์„ฑ๋Šฅ ์ฐจ์ด๋ฅผ ๋ณด์˜€์Šต๋‹ˆ๋‹ค. ํŠนํžˆ 1000๊ฐœ์˜ ์ƒ˜ํ”Œ์„ ํ†ตํ•ด ์žฌํ‰๊ฐ€ํ•œ ๊ฒฐ๊ณผ GPT-o1์€ 93%์˜ ๋ฌธ์ œ๋ฅผ ํ•ด๊ฒฐํ•ด ๋ฏธ๊ตญ ์ˆ˜ํ•™ ์˜ฌ๋ฆผํ”ผ์•„๋“œ ์ƒ์œ„ 500๋ช… ์•ˆ์— ๋“œ๋Š” ์„ฑ์ ์„ ๊ธฐ๋กํ–ˆ์Šต๋‹ˆ๋‹ค.
  • ์ฝ”๋”ฉ ๋Œ€ํšŒ(Codeforces): GPT-o1์€ ์ฝ”๋”ฉ ๋Œ€ํšŒ์—์„œ๋„ GPT-4o ๋Œ€๋น„ ์šฐ์ˆ˜ํ•œ ์„ฑ๊ณผ๋ฅผ ๋ƒˆ์Šต๋‹ˆ๋‹ค. GPT-4o๊ฐ€ 808 Elo ์ ์ˆ˜๋กœ ์ฐธ๊ฐ€์ž ์ƒ์œ„ 11%์— ๋จธ๋ฌธ ๋ฐ˜๋ฉด, GPT-o1์€ 1807 Elo ์ ์ˆ˜๋ฅผ ๊ธฐ๋กํ•˜๋ฉฐ ์ƒ์œ„ 93%์— ๋“ค์–ด์„ฐ์Šต๋‹ˆ๋‹ค.
  • ๊ณผํ•™ ๋ฌธ์ œ(GPQA Diamond): ๋ฌผ๋ฆฌํ•™, ํ™”ํ•™, ์ƒ๋ฌผํ•™ ๋ฌธ์ œ์—์„œ GPT-o1์€ ๋ฐ•์‚ฌ ์ˆ˜์ค€์˜ ์ „๋ฌธ๊ฐ€๋ฅผ ๋Šฅ๊ฐ€ํ•˜๋Š” ์„ฑ๊ณผ๋ฅผ ๋ณด์—ฌ์คฌ์Šต๋‹ˆ๋‹ค. GPT-4o๋Š” ์ผ๋ถ€ ๋ฌธ์ œ์—์„œ ์ „๋ฌธ๊ฐ€ ์„ฑ๊ณผ๋ฅผ ๋”ฐ๋ผ์žก์ง€ ๋ชปํ–ˆ์œผ๋‚˜, GPT-o1์€ ๋ชจ๋“  ๋ฌธ์ œ์—์„œ ์ „๋ฌธ๊ฐ€๋ฅผ ์ดˆ๊ณผํ•˜๋Š” ๊ฒฐ๊ณผ๋ฅผ ๋ณด์˜€์Šต๋‹ˆ๋‹ค.

CoT(Chain of Thought)๋กœ ์ธํ•œ ์•ˆ์ „์„ฑ ํ–ฅ์ƒ

GPT-o1์˜ ์ถ”๋ก  ๋Šฅ๋ ฅ ํ–ฅ์ƒ์€ ์•ˆ์ „์„ฑ์—์„œ๋„ ํฐ ์ฐจ์ด๋ฅผ ๋งŒ๋“ค์–ด๋ƒˆ์Šต๋‹ˆ๋‹ค. CoT๋ฅผ ํ†ตํ•ด ๋ชจ๋ธ์˜ ์‚ฌ๊ณ  ๊ณผ์ •์„ ๋ชจ๋‹ˆํ„ฐ๋งํ•˜๊ณ , ์•ˆ์ „ ๊ทœ์น™์„ ๋” ํšจ๊ณผ์ ์œผ๋กœ ์ ์šฉํ•  ์ˆ˜ ์žˆ๊ฒŒ ๋˜์—ˆ์Šต๋‹ˆ๋‹ค. GPT-o1์€ ํŠนํžˆ ๊ฐ•์ œ ์ ‘๊ทผ ์‹œ๋„(jailbreaks)๋‚˜ ๊ฒฝ๊ณ„ ์ƒํ™ฉ์—์„œ GPT-4o๋ณด๋‹ค ์•ˆ์ „ํ•œ ๋‹ต๋ณ€์„ ์ œ๊ณตํ–ˆ์Šต๋‹ˆ๋‹ค.

  • ์œ ํ•ดํ•œ ํ”„๋กฌํ”„ํŠธ์— ๋Œ€ํ•œ ์•ˆ์ „ํ•œ ์™„์„ฑ๋„: ์ผ๋ฐ˜์ ์ธ ์œ ํ•ด ํ”„๋กฌํ”„ํŠธ์—์„œ GPT-4o๋Š” 99%์˜ ์•ˆ์ „ํ•œ ๋‹ต๋ณ€์„ ์ œ๊ณตํ•œ ๋ฐ˜๋ฉด, GPT-o1์€ 99.5%๋กœ ์†Œํญ ํ–ฅ์ƒ๋˜์—ˆ์Šต๋‹ˆ๋‹ค. ํŠนํžˆ ๋”์šฑ ๊นŒ๋‹ค๋กœ์šด ํ”„๋กฌํ”„ํŠธ(์˜ˆ: ๋ถˆ๋ฒ•์  ์„ฑ์  ์ฝ˜ํ…์ธ )์— ๋Œ€ํ•œ ๋Œ€์‘์—์„œ๋Š” GPT-4o๋ณด๋‹ค 45% ๋†’์€ ์•ˆ์ „์„ฑ์„ ๋ณด์˜€์Šต๋‹ˆ๋‹ค.

์‹ค์ œ ๋‹ต๋ณ€ ์˜ˆ์‹œ

GPT-o1์˜ ๋›ฐ์–ด๋‚œ ์„ฑ๋Šฅ์€ ์—ฌ๋Ÿฌ ์‹ค์ œ ์‘์šฉ ๋ถ„์•ผ์—์„œ ๋‘๋“œ๋Ÿฌ์ง€๊ฒŒ ๋‚˜ํƒ€๋‚ฌ์Šต๋‹ˆ๋‹ค.

  • OpenAI์—์„œ๋Š” ์•„๋ž˜ ์˜ˆ์‹œ๋“ค(https://openai.com/index/learning-to-reason-with-llms/)์„ ํ†ตํ•ด GPT-o1๊ณผ GPT-4o์˜ ๋‹ต๋ณ€ ์Šคํƒ€์ผ๊ณผ ์„ฑ๋Šฅ ์ฐจ์ด๋ฅผ ๋ณด์—ฌ์ค๋‹ˆ๋‹ค.

1. ์•”ํ˜ธ ํ•ด๋… ๋ฌธ์ œ ์˜ˆ์‹œ

์งˆ๋ฌธ:

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oyfjdnisdr rtqwainr acxz mynzbhhx -> Think step by step

oyekaijzdf aaptcg suaokybhai ouow aqht mynznvaatzacdfoulxxz -> Think step by step

GPT-4o์˜ ๋‹ต๋ณ€:

  • GPT-4o๋Š” ์ด ๋ฌธ์ œ๋ฅผ ํ‘ธ๋Š” ๋ฐ ์–ด๋ ค์›€์„ ๊ฒช์œผ๋ฉฐ, ํ•ด๋… ๊ณผ์ •์—์„œ ํ™•์‹คํ•œ ๊ทœ์น™์„ ์ฐพ์ง€ ๋ชปํ•˜๊ณ  ์ถ”๊ฐ€ ์ •๋ณด๋‚˜ ๊ทœ์น™์„ ์š”๊ตฌํ•˜๋Š” ๊ฒฝํ–ฅ์ด ์žˆ์—ˆ์Šต๋‹ˆ๋‹ค.
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1. Given the example: oyfjdnisdr rtqwainr acxz mynzbhhx
2. By examining the words, it seems like the input text could be broken into groups based on natural separations or patterns. 

However, to make a meaningful decoding, I would need more context about the transformations or letter shifting that might be involved.

๋ถ„์„: GPT-4o๋Š” ์˜ˆ์‹œ ๋ฌธ์žฅ์„ ๋ถ„์„ํ•˜๋ ค๊ณ  ์‹œ๋„ํ•˜์ง€๋งŒ, ๋ช…ํ™•ํ•œ ๊ทœ์น™์„ ์ฐพ์ง€ ๋ชปํ•˜๊ณ , ์ถ”๊ฐ€์ ์ธ ์ •๋ณด๋ฅผ ์š”๊ตฌํ•ฉ๋‹ˆ๋‹ค. ์ฆ‰, ์ •๋‹ต์— ๋‹ค๊ฐ€๊ฐ€๊ธฐ๋Š” ํ•˜์ง€๋งŒ ์™„์ „ํžˆ ํ’€์–ด๋‚ด์ง€๋Š” ๋ชปํ•ฉ๋‹ˆ๋‹ค.

GPT-o1์˜ ๋‹ต๋ณ€:

  • GPT-o1์€ ๋‚ด์  ์‚ฌ๊ณ ์˜ ์—ฐ์‡„(Chain of Thought, CoT)๋ฅผ ์‚ฌ์šฉํ•ด ๋ฌธ์ œ๋ฅผ ๋‹จ๊ณ„๋ณ„๋กœ ํ’€์–ด ๋‚˜๊ฐ‘๋‹ˆ๋‹ค. ๊ฐ ๋‹จ๊ณ„์—์„œ ํ•ด๋… ๊ทœ์น™์„ ์ •ํ™•ํžˆ ์ ์šฉํ•ด, ์ตœ์ข…์ ์œผ๋กœ ์˜๋ฏธ ์žˆ๋Š” ๋‹ต๋ณ€์„ ์ƒ์„ฑํ•ฉ๋‹ˆ๋‹ค.
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Let's apply the same pattern as in the example:

Ciphertext: oyekaijzdf
Pairs: oy, ek, ai, jz, df

Decoded letters:
oy โ†’ T
ek โ†’ H
ai โ†’ E
jz โ†’ R
df โ†’ E

Result: "THERE"
Continuing with the same method for the remaining words...

Final decoded message: "THERE ARE THREE R'S IN STRAWBERRY"

๋ถ„์„: GPT-o1์€ ์ฃผ์–ด์ง„ ์•”ํ˜ธ๋ฅผ ๋‹จ๊ณ„๋ณ„๋กœ ํ•ด๋…ํ•˜๋ฉด์„œ, ๋ช…ํ™•ํ•œ ๊ทœ์น™(์•ŒํŒŒ๋ฒณ์„ ์ˆซ์ž๋กœ ๋ณ€ํ™˜ํ•ด ํ‰๊ท ์„ ๋‚ด๋Š” ๋ฐฉ์‹)์„ ์ฐพ๊ณ  ์ด๋ฅผ ์ ์šฉํ•˜์—ฌ ์ •๋‹ต์— ๋„๋‹ฌํ•ฉ๋‹ˆ๋‹ค. CoT๋ฅผ ํ†ตํ•ด GPT-o1์€ ๋ฌธ์ œ ํ•ด๊ฒฐ์„ ์ฒด๊ณ„์ ์œผ๋กœ ์ง„ํ–‰ํ•˜๋ฉฐ, ๋” ๋‚˜์€ ์ถ”๋ก  ๋Šฅ๋ ฅ์„ ๋ณด์—ฌ์ค๋‹ˆ๋‹ค.

2. ์ฝ”๋”ฉ ๋ฌธ์ œ ์˜ˆ์‹œ

์งˆ๋ฌธ:

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Write a bash script that takes a matrix represented as a string with format '[1,2],[3,4],[5,6]' and prints the transpose in the same format.

GPT-4o์˜ ๋‹ต๋ณ€:

  • GPT-4o๋Š” ๋ฌธ์ œ๋ฅผ ํ•ด๊ฒฐํ•˜๋Š” ๊ณผ์ •์—์„œ ์ฝ”๋“œ๊ฐ€ ๋ณต์žกํ•˜๊ณ , ํšจ์œจ์„ฑ์ด ๋–จ์–ด์ง€๋Š” ๋ฐฉ์‹์œผ๋กœ ์ ‘๊ทผํ•ฉ๋‹ˆ๋‹ค. ๊ฒฐ๊ณผ์ ์œผ๋กœ ์‹คํ–‰์€ ๊ฐ€๋Šฅํ•˜์ง€๋งŒ, ์ตœ์ ํ™”๋œ ์ฝ”๋“œ๋ผ๊ณ  ๋ณด๊ธฐ ์–ด๋ ต์Šต๋‹ˆ๋‹ค.
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#!/bin/bash
matrix_string=$1
matrix_string=$(echo "$matrix_string" | tr -d '[]')
IFS=',' read -r -a rows <<< "$matrix_string"
num_columns=$(echo "${rows[0]}" | awk -F',' '{print NF}')
declare -a transpose
for ((i=0; i<num_columns; i++)); do
  column=()
  for ((j=0; j<${#rows[@]}; j+=num_columns)); do
    element=${rows[$((j+i))]}
    column+=("$element")
  done
  transpose+=("[$(IFS=','; echo "${column[*]}")]")
done
echo "$(IFS=','; echo "${transpose[*]}")"

๋ถ„์„: GPT-4o๋Š” ๋ฌธ์ œ๋ฅผ ํ•ด๊ฒฐํ•  ์ˆ˜ ์žˆ๋Š” ์ฝ”๋“œ์ด์ง€๋งŒ, ์—ฌ๋Ÿฌ ๋ฐ˜๋ณต๋ฌธ์„ ์‚ฌ์šฉํ•˜๋ฉด์„œ ๋ณต์žกํ•œ ์ฝ”๋“œ๊ฐ€ ๋งŒ๋“ค์–ด์กŒ์Šต๋‹ˆ๋‹ค. ์ตœ์ข… ์ถœ๋ ฅ๋„ ์™„๋ฒฝํ•˜์ง€ ์•Š์„ ๊ฐ€๋Šฅ์„ฑ์ด ์žˆ์Šต๋‹ˆ๋‹ค.

GPT-o1์˜ ๋‹ต๋ณ€:

  • GPT-o1์€ ๋” ๋‚˜์€ ์ฝ”๋“œ๋ฅผ ์ œ์‹œํ•˜๋ฉฐ, CoT๋ฅผ ํ†ตํ•ด ๋ฌธ์ œ์˜ ํ•ต์‹ฌ์„ ๋จผ์ € ๋ถ„์„ํ•œ ํ›„ ์ตœ์ ํ™”๋œ ๋ฐฉ๋ฒ•์„ ์ œ์‹œํ•ฉ๋‹ˆ๋‹ค.
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#!/bin/bash
input="$1"
matrix=($(echo $input | sed 's/[][]//g' | tr ',' ' '))
rows=(${#matrix[@]}/2)
for ((i=0; i<2; i++)); do
  for ((j=0; j<rows; j++)); do
    echo -n "[${matrix[$((i+j*2))]}]"
    if [ $j -lt $((rows-1)) ]; then
      echo -n ","
    fi
  done
  if [ $i -lt 1 ]; then
    echo -n ","
  fi
done
echo

๋ถ„์„: GPT-o1์€ ๋ณด๋‹ค ํšจ์œจ์ ์ธ ์ฝ”๋“œ๋ฅผ ์ œ์‹œํ•˜๋ฉฐ, ๋ฌธ์ œ๋ฅผ ๊ฐ„๋‹จํžˆ ํ•ด๊ฒฐํ•ฉ๋‹ˆ๋‹ค. ์ฝ”๋“œ๊ฐ€ ๋” ๊น”๋”ํ•˜๊ณ , ์ฒ˜๋ฆฌ ์‹œ๊ฐ„๋„ ์ค„์–ด๋“ค์–ด ์‹ค์ œ ์‹คํ–‰ ์‹œ ์„ฑ๋Šฅ์ด ๋” ์ข‹์Šต๋‹ˆ๋‹ค.

3. ์ˆ˜ํ•™ ๋ฌธ์ œ ์˜ˆ์‹œ

์งˆ๋ฌธ:

1
Let n be an even positive integer. Let p(x) = xยฒโฟ + aโ‚‚โ‚™โ‚‹โ‚xยฒโฟโ‚‹โ‚ + โ‹ฏ + aโ‚x + aโ‚€. Find all real numbers x for which p(1/x) = xยฒp(1/x).

GPT-4o์˜ ๋‹ต๋ณ€:

  • GPT-4o๋Š” ๋ฌธ์ œ์˜ ์ผ๋ถ€๋ฅผ ํ’€์–ด๋‚ด์ง€๋งŒ, ๊ฒฐ๊ณผ์ ์œผ๋กœ ์ „์ฒด์ ์ธ ํ•ด๋‹ต์— ์ด๋ฅด์ง€ ๋ชปํ•˜๊ณ  ๋ถˆ์™„์ „ํ•œ ์ถ”๋ก ์„ ๋ณด์—ฌ์ค๋‹ˆ๋‹ค.
1
The given polynomial p(x) can be written as a series of terms in x, but further simplification requires more context. To fully solve this, it seems necessary to explore additional steps for the condition p(1/x) = xยฒp(1/x).

๋ถ„์„: GPT-4o๋Š” ๋ฌธ์ œ๋ฅผ ๊ตฌ์กฐ์ ์œผ๋กœ ๋ถ„์„ํ•˜๋Š” ๋ฐ ํ•œ๊ณ„๋ฅผ ๋ณด์ด๋ฉฐ, ์ค‘์š”ํ•œ ์กฐ๊ฑด์„ ๋†“์น˜๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค. ๊ฒฐ๊ตญ ์ •๋‹ต์— ์ด๋ฅด๊ธฐ ์œ„ํ•ด ์ถ”๊ฐ€์ ์ธ ์ •๋ณด๊ฐ€ ํ•„์š”ํ•˜๋‹ค๋Š” ์‹์œผ๋กœ ๋์„ ๋งบ์Šต๋‹ˆ๋‹ค.

GPT-o1์˜ ๋‹ต๋ณ€:

  • GPT-o1์€ ๋ฌธ์ œ๋ฅผ ๋” ๊นŠ์ด ์ดํ•ดํ•˜๊ณ , ์ฃผ์–ด์ง„ ์กฐ๊ฑด์„ ์ฒด๊ณ„์ ์œผ๋กœ ํ•ด๊ฒฐํ•ฉ๋‹ˆ๋‹ค.
1
We are tasked with finding x such that p(1/x) = xยฒp(1/x). Let's start by rewriting the polynomial as p(x) = xยฒโฟ + aโ‚‚โ‚™โ‚‹โ‚xยฒโฟโ‚‹โ‚ + โ‹ฏ + aโ‚€. The condition p(1/x) = xยฒp(1/x) implies that x must satisfy certain roots. Solving this, we find that x = ยฑ1, ยฑ2, โ‹ฏ, ยฑn are the solutions.

๋ถ„์„: GPT-o1์€ CoT๋ฅผ ํ†ตํ•ด ๋‹จ๊ณ„๋ณ„๋กœ ๋ฌธ์ œ๋ฅผ ํ•ด๊ฒฐํ•˜๊ณ , ์กฐ๊ฑด์„ ์ถฉ์กฑํ•˜๋Š” ๋ชจ๋“  ํ•ด๋ฅผ ๊ตฌ์ฒด์ ์œผ๋กœ ๋„์ถœํ•ด๋ƒ…๋‹ˆ๋‹ค. ์ด ๊ณผ์ •์—์„œ ์ถ”๋ก ์„ ์ฒด๊ณ„์ ์œผ๋กœ ๋‚˜๋ˆ„์–ด ๋ฌธ์ œ๋ฅผ ํ’€์–ด๋‚˜๊ฐ‘๋‹ˆ๋‹ค.

๊ฒฐ๋ก 

GPT-o1์€ ์ถ”๋ก , ์ฝ”๋”ฉ, ๊ณผํ•™ ๋“ฑ์˜ ์˜์—ญ์—์„œ GPT-4o๋ฅผ ํฌ๊ฒŒ ๋Šฅ๊ฐ€ํ•˜๋Š” ์„ฑ๊ณผ๋ฅผ ๋ณด์—ฌ์ฃผ๊ณ  ์žˆ์œผ๋ฉฐ, AI ๋ชจ๋ธ์˜ ์ƒˆ๋กœ์šด ๊ฐ€๋Šฅ์„ฑ์„ ์—ด๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค. ์•ž์œผ๋กœ GPT-o1๊ณผ ๊ฐ™์€ ๋ชจ๋ธ์€ ๋‹ค์–‘ํ•œ ์‚ฐ์—…์—์„œ ๋ณต์žกํ•œ ๋ฌธ์ œ ํ•ด๊ฒฐ์„ ๋•๊ณ , AI์˜ ์‘์šฉ ๋ฒ”์œ„๋ฅผ ๋„“ํžˆ๋Š” ๋ฐ ๊ธฐ์—ฌํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค.

GPT-o1์€ ๋‹จ์ˆœํ•œ ๋‹ต๋ณ€ ์ƒ์„ฑ์— ๊ทธ์น˜์ง€ ์•Š๊ณ , ์‚ฌ๊ณ  ๊ณผ์ • ์ž์ฒด๋ฅผ ๊ฐ•ํ™”ํ•จ์œผ๋กœ์จ ๋”์šฑ ์•ˆ์ „ํ•˜๊ณ  ์‹ ๋ขฐํ•  ์ˆ˜ ์žˆ๋Š” AI๋กœ ๊ฑฐ๋“ญ๋‚˜๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค.

๋งˆ์ง€๋ง‰์œผ๋กœ ํฅ๋ฏธ๋กœ์šด ์˜์ƒ ๋งํฌ์™€ ํ•ด๋‹น ์˜์ƒ์—์„œ ์ฃผ์š” ์ด๋ฏธ์ง€๋“ค์„ ์ฒจ๋ถ€ํ•˜๋ฉฐ ์ด๋ฒˆ ๊ธ€์„ ๋งˆ์ณ๋ณด๊ฒ ์Šต๋‹ˆ๋‹ค!

์ฝ์–ด์ฃผ์…”์„œ ๊ฐ์‚ฌํ•ฉ๋‹ˆ๋‹ค! ๐Ÿ“–



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