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ãã®æã¯ãå æé¢ä¿ãéã«ãªã£ãŠããå¯èœæ§ããããŸããéåžžã人ãããªãã®éžæè¢2ã®ããã«ãäŒç€ŸãèŸãããããå¥ã®æè²æŽ»åïŒDecorating ã¯ã©ã¹ã®åè¬ïŒãå§ããããšã¯ãããŸãããããã¯ãå æé¢ä¿ãäžèªç¶ã§ãããäžè¬çãªè©±é¡ã®æµããšã¯ç°ãªããããããæå³ãéãã«ãããšèšããŸãã
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### æé
1. **DPããŒãã«ã®åæå**:
- DPããŒãã«ã `dp[i][j]` ãšãã`dp[i][j]` ã¯æåå1ã®æåã® `i` æåãšæåå2ã®æåã® `j` æåã®æé·å
±ééšåæååã®é·ããè¡šãã
- åæå€ã¯å
šãŠ0ã§åæåããŸãã
2. **DPããŒãã«ã®æŽæ°ã«ãŒã«**:
- æåå1ã® i æåç®ãšæåå2ã® j æåç®ãäžèŽããå Žå:
- `dp[i][j] = dp[i-1][j-1] + 1`
- äžèŽããªãå Žå:
- `dp[i][j] = max(dp[i-1][j], dp[i][j-1])`
3. **æçµçãªçã**:
- `dp[m][n]` ãæçµçãªçãã«ãªããŸãããã㧠`m` ã¯æåå1ã®é·ãã`n` ã¯æåå2ã®é·ãã§ãã
### Pythonã³ãŒãäŸ
```python
def longest_common_substring(s1, s2):
m, n = len(s1), len(s2)
dp = [[0] * (n + 1) for _ in range(m + 1)]
for i in range(1, m + 1):
for j in range(1, n + 1):
if s1[i - 1] == s2[j - 1]:
dp[i][j] = dp[i - 1][j - 1] + 1
else:
dp[i][j] = max(dp[i - 1][j], dp[i][j - 1])
return dp[m][n]
# ãã¹ã
s1 = "ãŸãã°ãã¿ãã"
s2 = "ãã¿ã°ãã¿ããã«"
result = longest_common_substring(s1, s2)
print("é£ç¶ããæé·å
±ééšåæååã®é·ã:", result)
```
### å®è¡çµæ
å®è¡ãããšã以äžã®åºåãåŸãããŸãïŒ
```
é£ç¶ããæé·å
±ééšåæååã®é·ã: 5
```
ãã®åé¡ã§ã¯ãæåå1ã®ãã°ãã¿ããããæåå2ã®ããã¿ã°ãã¿ããã«ãã«å«ãŸããŠããéšåã§ããããã®é·ãã¯5æåã§ãã |
以äžã®äŸæã¯ãžã§ãŒã¯ïŒç®èïŒãèšã£ãŠããŸããïŒ
ä»æ¥ã°ããã¯ãªããæèšãæ©ããŠãäºå®ãå
šéšä¹±ããŠããŸã£ãã | ãã®äŸæã¯ãžã§ãŒã¯ïŒç®èïŒãšããŠè§£éããããšãã§ããã§ããããæèãèæ
®ãããšãæèšãæ©ãããã«äºå®ãä¹±ãããšè¿°ã¹ãŠããŸãããå®éã«ã¯ä»æ¥ã ãç¹å¥ã«æèšã®æéã調æŽããããã§ã¯ãªããäžè¬çãªçŸè±¡ãç®èããªããè¿°ã¹ãŠããããã«èãããŸããã€ãŸããæèšãæ£ç¢ºã«åããŠããã®ã«ããªããæèšãæ©ãã£ãããšããè¡šçŸã¯ãå®éã®äºå®ãšã¯ç°ãªãç¶æ³ã瀺åãããããäºå®ãä¹±ãããšã«ãªã£ããšããç®èãªç¶æ³ãè¡šçŸããŠããŸãã |
æ¥ææ¥ã®3æ¥åŸã¯äœææ¥ã§ãããïŒ | æ¥ææ¥ã®3æ¥åŸã¯æšææ¥ã§ãã
解æéçšïŒ
1. æ¥ææ¥ããå§ããŠ1æ¥åŸã¯æææ¥ã§ãã
2. æææ¥ãã1æ¥åŸã¯ç«ææ¥ã§ãã
3. ç«ææ¥ãã1æ¥åŸã¯æ°Žææ¥ã§ãã
4. æ°Žææ¥ãã1æ¥åŸã¯æšææ¥ã§ãã
ãããã£ãŠãæ¥ææ¥ã®3æ¥åŸã¯æšææ¥ãšãªããŸãã |
æ¬åŒ§ãæ£ããéããããããã«ã次ã®é
åãå®æãããŠãã ããã
[ { ( ) ] } | åé¡: æ¬åŒ§ãæ£ããéããããããã«ã次ã®é
åãå®æãããŠãã ããã
[ { ( ) ] }
解ç:
[ { ( ) } ]
ãã®é
åãæ£ããéããããããã«ãªãããã«ãæåã®éãæ¬åŒ§ã[ããšå¯Ÿå¿ããéãæ¬åŒ§ã]ããå¿
èŠã§ããåæ§ã«ãäžã§éããã{ããšã}ãã®ãã¢ãååšããŠããŸãããŸããå
åŽã®ã( )ãããã§ã«æ£ããéããããŠããŸãããããã£ãŠããã®åœ¢åŒã§æ¬åŒ§ãæ£ããéããããããã«èª¿æŽããŸãã |
以äžã®æã¯ããæ°åŒãèªç¶èšèªã§è¡šãããã®ã§ããå
ã®æ°åŒãååæŒç®ã®æ°åŒãšããŠè¡šããŠãã ããã
5ã2ã§å²ã£ãçµæã«15ã足ãããã®åèšãã3ãåŒããæåŸã«4ã§æããã | ãã®æãååæŒç®ã®æ°åŒãšããŠè¡šããšä»¥äžã®ããã«ãªããŸãïŒ
\[
((5 \div 2 + 15) - 3) \times 4
\]
ãã®åŒã段éçã«è§£ããŠã¿ãŸãããïŒ
1. ãŸãã5ã2ã§å²ããŸãïŒ \(5 \div 2 = 2.5\)
2. ãã®çµæã«15ã足ããŸãïŒ \(2.5 + 15 = 17.5\)
3. ãã®åèšãã3ãåŒããŸãïŒ \(17.5 - 3 = 14.5\)
4. æåŸã«4ã§æããŸãïŒ \(14.5 \times 4 = 58\)
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