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동적 ν”„λ‘œκ·Έλž˜λ°Advanced

회문 λΆ„ν•  (μ΅œμ†Œ μ»·)

2D 동적 ν”„λ‘œκ·Έλž˜λ°μ„ μ‚¬μš©ν•˜μ—¬ λ¬Έμžμ—΄μ„ 회문으둜 λΆ„ν• ν•˜λŠ” 데 ν•„μš”ν•œ μ΅œμ†Œ 컷을 μ°ΎμŠ΅λ‹ˆλ‹€. λ¨Όμ € O(nΒ²)둜 회문 ν…Œμ΄λΈ”μ„ κ΅¬μΆ•ν•œ λ‹€μŒ μ΅œμ†Œ 컷을 κ³„μ‚°ν•©λ‹ˆλ‹€. ν…μŠ€νŠΈ 처리, λ¬Έμžμ—΄ μ΅œμ ν™”, μ—¬λŸ¬ 단계가 μžˆλŠ” λ³΅μž‘ν•œ DP μ‹œμ—°μ˜ μ‘μš©μ΄ μžˆμŠ΅λ‹ˆλ‹€. λ¬Έμžμ—΄ μ‘°μž‘ λ¬Έμ œμ—μ„œ 졜적 λΆ€λΆ„ ꡬ쑰λ₯Ό λ³΄μ—¬μ€λ‹ˆλ‹€.

#dynamic-programming#strings#palindromes#optimization

Complexity Analysis

Time (Average)

O(nΒ²)

Expected case performance

Space

O(nΒ²)

Memory requirements

Time (Best)

O(nΒ²)

Best case performance

Time (Worst)

O(nΒ²)

Worst case performance

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Algorithm Visualization

Step 1 of 0

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ν–‰λ ¬ 체인 κ³±μ…ˆ

Advanced

ν–‰λ ¬ 체인의 졜적 κ΄„ν˜Έν™”λ₯Ό μ°Ύμ•„ 슀칼라 κ³±μ…ˆ 횟수λ₯Ό μ΅œμ†Œν™”ν•©λ‹ˆλ‹€. CLRS 15μž₯의 λŒ€ν‘œμ μΈ 동적 ν”„λ‘œκ·Έλž˜λ° λ¬Έμ œμž…λ‹ˆλ‹€.

O(nΒ³)
O(nΒ²)
dynamic-programmingoptimization
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ν”Όλ³΄λ‚˜μΉ˜ (동적 ν”„λ‘œκ·Έλž˜λ°)

Beginner

쀑볡 계산을 ν”Όν•˜κΈ° μœ„ν•΄ 동적 ν”„λ‘œκ·Έλž˜λ°μ„ μ‚¬μš©ν•˜μ—¬ ν”Όλ³΄λ‚˜μΉ˜ 수λ₯Ό 효율적으둜 κ³„μ‚°ν•©λ‹ˆλ‹€. μ§€μˆ˜ μ‹œκ°„ μž¬κ·€ μ†”λ£¨μ…˜μ„ μ„ ν˜• μ‹œκ°„ μ•Œκ³ λ¦¬μ¦˜μœΌλ‘œ λ³€ν™˜ν•˜λŠ” λ©”λͺ¨μ΄μ œμ΄μ…˜μ˜ νž˜μ„ λ³΄μ—¬μ€λ‹ˆλ‹€. 동적 ν”„λ‘œκ·Έλž˜λ° κ°œλ…μ— λŒ€ν•œ 고전적인 μ†Œκ°œμž…λ‹ˆλ‹€.

O(n)
O(n)
dynamic-programmingmemoization
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졜μž₯ 곡톡 λΆ€λΆ„ μˆ˜μ—΄ (LCS)

Intermediate

두 μ‹œν€€μŠ€μ— λ™μΌν•œ μˆœμ„œλ‘œ μ‘΄μž¬ν•˜λŠ” κ°€μž₯ κΈ΄ λΆ€λΆ„ μˆ˜μ—΄μ„ μ°ΎμŠ΅λ‹ˆλ‹€. 동적 ν”„λ‘œκ·Έλž˜λ°μ„ μ‚¬μš©ν•˜μ—¬ μ†”λ£¨μ…˜ ν…Œμ΄λΈ”μ„ κ΅¬μΆ•ν•©λ‹ˆλ‹€. DNA μ„œμ—΄ μ •λ ¬, 파일 차이 도ꡬ(diff), ν‘œμ ˆ 감지 λ“±μ˜ μ‘μš© ν”„λ‘œκ·Έλž¨μ΄ μžˆμŠ΅λ‹ˆλ‹€.

O(m Γ— n)
O(m Γ— n)
dynamic-programmingstrings
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