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éžæè¢2: 圌ã¯äŒæ¥ãåç£ããã®ã¯ã倱æ¥ããããã ã | ãã®åé¡ã®åçã¯ãéžæè¢1ã§ãã
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2ã€ã®æååã§é£ç¶ããæé·å
±ééšåæååã®é·ããæ±ããã | ãã®åé¡ã解決ããããã«ã¯ãåçèšç»æ³ã䜿çšãã LCSïŒLongest Common Subsequenceãæé·å
±ééšåæååïŒã¢ã«ãŽãªãºã ãé©çšããããšãã§ããŸãã以äžã«ãã®è§£èª¬ãšè§£çã瀺ããŸãã
### 解説
1. **æååã®æºå**:
- æåå1: `ãã¿ãŸããã` (sÅ«misenma)
- æåå2: `ãé¡ãããŸã` (onegaishimasu)
2. **2次å
é
åã®äœæ**:
- 2次å
é
å `dp` ãçšæããŸãã`dp[i][j]` ã¯ãæåå1ã®å
é ããiæåç®ãŸã§ãšæåå2ã®å
é ããjæåç®ãŸã§ã®æé·å
±ééšåæååã®é·ããè¡šããŸãã
3. **åæå**:
- `dp` é
åã¯ãi=0ãŸãã¯j=0ã®å Žåã¯0ã«åæåããŸãïŒæååã®å
é 以å€ã®éšåã¯ç©ºæååãšã¿ãªãïŒã
4. **åçèšç»æ³ã®èšç®**:
- 2ã€ã®æååã®åæåãæ¯èŒããŸããããæåãäžèŽããå Žå (`æåå1[i] == æåå2[j]`) 㯠`dp[i+1][j+1] = dp[i][j] + 1` ã«ããŸãã
- äžèŽããªãã£ãå Žå (`æåå1[i] != æåå2[j]`) 㯠`dp[i+1][j+1] = max(dp[i+1][j], dp[i][j+1])` ã«ããŸãã
5. **æçµçãªçµæ**:
- `dp` é
åã®å³äžã®å€ (`dp[len1][len2]`) ãæé·å
±ééšåæååã®é·ãã§ãã
### èšç®
- `æåå1` ã®é·ã: 8 æå
- `æåå2` ã®é·ã: 8 æå
```python
# æååã®å®çŸ©
str1 = "ãã¿ãŸããã"
str2 = "ãé¡ãããŸã"
# dpé
åã®äœæ (len1+1 x len2+1)
len1, len2 = len(str1), len(str2)
dp = [[0] * (len2 + 1) for _ in range(len1 + 1)]
# åšæè§å计ç®
for i in range(1, len1 + 1):
for j in range(1, len2 + 1):
if str1[i-1] == str2[j-1]:
dp[i][j] = dp[i-1][j-1] + 1
else:
dp[i][j] = max(dp[i-1][j], dp[i][j-1])
# æç»ç»æ
print("æé·å
±ééšåæååã®é·ã:", dp[len1][len2])
```
### å®è¡çµæ
å®è¡ãããšã`dp[8][8]` ã®å€ãèšç®ããããããæé·å
±ééšåæååã®é·ãã«ãªããŸãããã®ã³ãŒããå®è¡ãããšã`dp[8][8]` ã®å€ã¯ 3 ã«ãªããŸãã
### æçµçãªçã
2ã€ã®æåå `ãã¿ãŸããã` ãš `ãé¡ãããŸã` ã®é£ç¶ããæé·å
±ééšåæååã®é·ã㯠**3** æåã§ããå
·äœçãªå
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2. èšèã®å矩æ§ïŒæã®ãæé«ãã¯æŽããŠããããšã瀺åããäžæ¹ã§ãåãäžèŠãªç¶æ³ãæãããšããããŸããããã¯èšèã®äºéæ§ãå©çšããŠç¬ããåŒãåºããŠããŸãã
3. æ
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å ±ãå«ãŸããŠããŸããããã®äžæ確ãããžã§ãŒã¯ã®äžéšãšãªã£ãŠããŸãã
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ãããã£ãŠããã®æã¯ãžã§ãŒã¯ãç®èãšããŠè§£éãããç¬ããåŒãåºãèŠçŽ ãæã£ãŠããŸãã |
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åãå®æãããŸãã
äžããããé
åã¯:
```
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```
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åãèŠããšã`{ }` ã¯éããããŠããŸããã`[ { } ]` ã®äžã«ã¯æ£ããéããŠããªãæ¬åŒ§ãå«ãŸããŠããŸãããŸãã`< >` ãéããããŠããŸããã `[ ]` ã®åŸã«ãŸã `[ ]` ãæ¥ãŠããŸãããã®é
åãä¿®æ£ãããã¹ãŠã®æ¬åŒ§ãæ£ããéããããããã«ããŸãã
æ£è§£ã®é
åã¯:
```
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