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1. ããããœãŒã¹ã®ãã³ãïŒ
- ç¹åŸŽïŒé
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- ç¹åŸŽïŒæ¿åãªãã¿ãŒãšããŒãºã®ãœãŒã¹ã¯ãç§ãå¬ã«é£ã¹ããšå¿æž©ãŸããŸãããªã³ã°ã€ãã¯å¹³ãã圢ç¶ã®ããããœãŒã¹ãšã®çµ¡ã¿ãè¯ããããªã¥ãŒã æããããŸãã
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2. æåç亀æµïŒ
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5. æè²ïŒ
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- äžã«åœãšãé«çæè²ã®éèŠæ§ã匷調ããå€ãã®åŠçã倧åŠæè²ãåããŸãã
6. èšèªïŒ
- 挢åæååã«å±ããŠãããäžã«åœã®èšèªã«å
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7. è³æºïŒ
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解æéçšïŒ
1. åé¡æã®ã55æ³ã®å¥³æ§ã30æ³ã®ç¥ãæã€æèŠãšã¯ç°ãªãæ¿æ²»çèŠè§£ã«ã€ããŠè©±ããŠããŸããããããã55æ³ã®å¥³æ§ãš30æ³ã®ç¥ã®éã§æ¿æ²»çèŠè§£ãç°ãªãããšã瀺ãããŠããŸãã
2. éžæè¢ã確èªãããšãã55æ³ã®å¥³æ§ããã30æ³ã®ç¥ãããæ
å ±äžè¶³ãããããŸãã
3. 55æ³ã®å¥³æ§ã®èŠè§£ã¯æ確ã«è¿°ã¹ãããŠããããéã«30æ³ã®ç¥ã®èŠè§£ã瀺ãããŠããŸãã
4. ãæ
å ±äžè¶³ããšããéžæè¢ã¯ãåé¡æããå¿
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å ±ãæäŸãããŠããªãããšã瀺åããŸãããããã§ã¯55æ³ã®å¥³æ§ãš30æ³ã®ç¥ã®éã®èŠè§£ã®éããæ瀺ãããŠããããããã®éžæè¢ã¯é©ããŠããŸããã
ãããã£ãŠãåé¡ã®æèãã30æ³ã®ç¥ã®æ¿æ²»çèŠè§£ãç°ãªããšããçµè«ãå°ããŸãã |
CãããšDããã¯åãå³æžé€šã§åãè·å¡ã§ãã圌ãã¯ã©ã¡ãããç 究ã®ããã«åãããœã³ã³ã䜿çšããå¿
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®ç¹ããããŸãã
1. **䜿çšæéã®èšå®**: éåžžãCããã¯ååäžãDããã¯ååŸã䜿çšããŸããããããããæ¥ãCãããšDãããäž¡æ¹ãšã14æããããœã³ã³ã䜿çšãå§ããŸãããããã¯éåžžã®äœ¿çšæéã®èšå®ãšççŸããŠããŸãã
2. **ã¯ã©ãã·ã¥ã®ã¿ã€ãã³ã°**: ããœã³ã³ã¯14æãã䜿çšãå§ãããã®æ¥ã®çµããã«å床ã¯ã©ãã·ã¥ããŸãããããã¯ãCãããšDãããåæã«ããœã³ã³ã䜿çšããçŽåŸã«èµ·ãã£ãå¯èœæ§ãé«ãã§ãã
3. **åæã¢ã¯ã»ã¹ã«ããåé¡**: æ§ã¢ãã«ã®ããœã³ã³ã¯ãåæã¢ã¯ã»ã¹ãåŠçããèœåãéãããŠãããããCãããšDãããåæã«ããœã³ã³ã䜿çšãããšã¯ã©ãã·ã¥ããããšããããŸãã
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- ããœã±ããã®æŽæ°ãããŒããŠã§ã¢ã®ã¢ããã°ã¬ãŒããæ€èšããã
- ããœã±ããã®äœ¿çšãå¶éããããšã§ãåæã¢ã¯ã»ã¹ãé²ãã |
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ãã®æã¯ãå°ãæå³ãææ§ã§ãéåžžã¯èª€è§£ãæãå¯èœæ§ããããŸãããã®æã¯åé¢ã§ã¯ã圌ã¯èµ·æ¥ããã®ã¯ãäŒç€ŸãèŸããããã ããšè§£éãããããŸãããããããæ¬æ¥ã®æå³ã¯ã圌ã¯äŒç€ŸãèŸããããšã§èµ·æ¥ããããšããããšãªã®ã§ãææ³çã«æ£ç¢ºãªè¡šçŸã§ã¯ãããŸããã
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### 解説
1. **åçèšç»æ³ã®åºæ¬**
- ãµã€ãºã \( n \) ãš \( m \) ã®2ã€ã®æåå \( A \) ãš \( B \) ã«å¯ŸããŠãé£ç¶ããæé·å
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- 2次å
é
å \( dp \) ãäœæãã \( dp[i][j] \) ã¯æåå \( A \) ã®æåã® \( i \) æåãšæåå \( B \) ã®æåã® \( j \) æåã®é£ç¶ããæé·å
±ééšåæååã®é·ããè¡šããŸãã
2. **åçèšç»æ³ã®é·ç§»æ¹çšåŒ**
- \( A[i] = B[j] \) ã®å Žå: \( dp[i][j] = dp[i-1][j-1] + 1 \)
- \( A[i] \neq B[j] \) ã®å Žå: \( dp[i][j] = 0 \)
3. **åæå**
- \( dp[0][j] = 0 \) ãš \( dp[i][0] = 0 \) ã§åæåããŸãã
### äŸã®è§£ç
äžããããæååã¯:
- æåå1: ããããããã
- æåå2: ããããããã
ãããåçèšç»æ³ã§è§£ããšä»¥äžã®ããã«ãªããŸãã
```python
def longest_common_substring(s1, s2):
m, n = len(s1), len(s2)
dp = [[0] * (n + 1) for _ in range(m + 1)]
max_length = 0
end_pos = 0
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
if dp[i][j] > max_length:
max_length = dp[i][j]
end_pos = i
else:
dp[i][j] = 0
return max_length
# äžããããæåå
s1 = "ããããããã"
s2 = "ããããããã"
# åŠç
result = longest_common_substring(s1, s2)
print("é£ç¶ããæé·å
±ééšåæååã®é·ã:", result)
```
### å®è¡çµæ
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3. **å¿«é©ã**: 颚ã匷ãå¹ããŠããå Žåã颚éªã颚ç¹ãé²ãããã«ãå¿«é©ãªçå¿å°ãéèŠã§ãã
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1. **éé**: æ°æž©ãäœããªãå Žåã¯ãããŠã³ã³ãŒããéãããšæãããããããŸããã
2. **äŸ¡æ Œ**: ããŠã³ã³ãŒãã¯äžè¬çã«ã¯ãŒã¯ã³ãŒããããé«äŸ¡ãªå ŽåããããŸãã
### B. ã¯ãŒã¯ã³ãŒããçã
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1. **軜ã**: ã¯ãŒã¯ã³ãŒãã¯éåžžã軜éã§å¿«é©ãªçå¿å°ãæäŸããŸãã
2. **æ©èœæ§**: é²é¢šæ§ãé²æ°Žæ§ãé«ããå
¬åã§ã®æ£æ©äžã«äŸ¿å©ã§ãã
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2. **éã**: æ°æž©ãäœããªããšãã¯ãŒã¯ã³ãŒããéãããšæãããããããŸããã
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éžæè¢2: 圌ã¯å¯äžè¶³ã®ãããè©Šéšã«èœã¡ãã | äž¡æ¹ã®æã¯æå³ãéããŠããŸãããéžæè¢2ãããèªç¶ãªæã®æ§é ãããŠããŸãã
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ããã¯å æé¢ä¿ãè¡šããŠããŸãããæ¥æ¬èªã§ã¯äž»ã«ããã®ã¯ããšããè¡šçŸã䜿ãããããããã®ããã«ã¯ããåã«ããã®ãããã®æ¹ãèªç¶ãªè¡šçŸã§ãã
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ããã¯å æé¢ä¿ãæ確ã«ããæ¥æ¬èªã®ææ³çãªæ§é ãããèªç¶ã«è¡šçŸããŠããŸãã
ãããã£ãŠãããæå³ãéããéžæè¢ã¯ãéžæè¢2: 圌ã¯å¯äžè¶³ã®ãããè©Šéšã«èœã¡ãããã§ãã |
2ã€ã®æååã§é£ç¶ããæé·å
±ééšåæååã®é·ããæ±ããã | ãã®åé¡ã¯å
žåçãªåçèšç»æ³ïŒDynamic Programming, DPïŒãçšããŠè§£ãããšãã§ããŸããããã§ã¯ãDPã䜿ã£ãŠé£ç¶ããæé·å
±ééšåæååã®é·ããæ±ããæ¹æ³ã説æããŸãã
### 解æ³ã®èª¬æ
1. **DPããŒãã«ã®å®çŸ©**:
- `dp[i][j]` ãæåå1ã®åiæåãšæåå2ã®åjæåã§åœ¢æãããæé·é£ç¶å
±ééšåæååã®é·ããšããŸãã
2. **åææ¡ä»¶**:
- `dp[0][j]` ãš `dp[i][0]` ã¯å
šãŠ0ã§ããããã¯ãããããã空æååã§ããå Žåãå
±ééšåæååã®é·ãã¯0ã§ããããšãæå³ããŸãã
3. **é·ç§»æ¹çšåŒ**:
- æåå1ã®iæåç®ãšæåå2ã®jæåç®ãåãå Žå (`S1[i-1] == S2[j-1]`):
- `dp[i][j] = dp[i-1][j-1] + 1`
- æåå1ã®iæåç®ãšæåå2ã®jæåç®ãç°ãªãå Žå:
- `dp[i][j] = 0` (é£ç¶æ§ãç¶æã§ããªããã)
4. **çµæã®ååŸ**:
- æçµçãªçµæ㯠`dp[len(S1)][len(S2)]` ã«ãªããŸãã
### Pythonã§ã®å®è£
äŸ
```python
def longest_common_substring(s1, s2):
m, n = len(s1), len(s2)
dp = [[0] * (n + 1) for _ in range(m + 1)]
max_length = 0
end_position = 0
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
if dp[i][j] > max_length:
max_length = dp[i][j]
end_position = i
else:
dp[i][j] = 0
return max_length
# å
¥åæåå
s1 = "ãããããããããã"
s2 = "ãã¡ã€ãŠãšããããã"
# åŠçãšçµæã®è¡šç€º
result = longest_common_substring(s1, s2)
print("é£ç¶ããæé·å
±ééšåæååã®é·ã:", result)
```
### å®è¡çµæ
å®è¡ãããšãåºåã¯ä»¥äžã®ããã«ãªããŸãïŒ
```
é£ç¶ããæé·å
±ééšåæååã®é·ã: 8
```
### 解説
- é£ç¶ããæé·å
±ééšåæåå㯠"ããããã" ã§é·ãã¯8ã§ãã
- ãã®å®è£
ã§ã¯ãDPããŒãã«ãçšããŠæé·å
±ééšåæååã®é·ããå¹ççã«èšç®ããŸãã |
以äžã®äŸæã¯ãžã§ãŒã¯ïŒç®èïŒãèšã£ãŠããŸããïŒ
ä»æ¥ã®å€©æ°ã¯éšã®äºå ±ã ã£ãã®ã«ãåæããªããŠã倧äžå€«ã ã£ããã | ãã®äŸæã¯ãžã§ãŒã¯ãç®èã§ã¯ãããŸãããå®éã®å€©æ°äºå ±ãéšã ã£ãã®ã«ãçµæçã«éšãéããªãã£ããšããåçŽãªäºå®ãè¿°ã¹ãŠããã ãã§ããæèãç°ãªãã°ããžã§ãŒã¯ãç®èãšããŠè§£éãããå¯èœæ§ããããŸããããã®æã ãã§ã¯ãããã£ãæå³ã¯èŠåœãããŸããã |
æ¬åŒ§ãæ£ããéããããããã«ã次ã®é
åãå®æãããŠãã ããã
[ { ( ) ] } | åé¡ã®ç®çã¯ãæ¬åŒ§ãæ£ããéããããããã«ãäžããããé
åãå®æãããããšã§ããäžããããé
å㯠`[ { ( ) ] }` ã§ããããã®é
åã¯éãæ¬åŒ§ã足ããŠããªããããäžå®å
šã§ãã
æ£ããéããããããã«é
åãå®æãããã«ã¯ãåéãæ¬åŒ§ã«å¯Ÿå¿ããéãæ¬åŒ§ãè¿œå ããå¿
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åã®æåŸã« `)` ãè¿œå ããããšã§ãæ£ããæ¬åŒ§ãéããããŸãã
å®æãããé
åã¯ä»¥äžã®ããã«ãªããŸãïŒ
`[ { ( ) } ]`
ãã®é
åã§ã¯ãåæ¬åŒ§ãæ£ããéããããéããæ¬åŒ§ã¯ãã¹ãŠé©åã«éããããŠããŸãã |
以äžã®æã¯ããæ°åŒãèªç¶èšèªã§è¡šãããã®ã§ããå
ã®æ°åŒãååæŒç®ã®æ°åŒãšããŠè¡šããŠãã ããã
5ã4ã§å²ã£ãçµæã«25ã足ããŠã10ãæãããæåŸã«5ã§å²ãã | ãã®æãååæŒç®ã®æ°åŒãšããŠè¡šããšä»¥äžã®ããã«ãªããŸãïŒ
((5 ÷ 4) + 25) à 10 ÷ 5
ãã®åŒãèšç®ãããšïŒ
1. ãŸã5ã4ã§å²ããŸãïŒ 5 ÷ 4 = 1.25
2. ç¶ããŠ25ã足ããŸãïŒ 1.25 + 25 = 26.25
3. ãã®çµæã10åããŸãïŒ 26.25 à 10 = 262.5
4. æåŸã«5ã§å²ããŸãïŒ 262.5 ÷ 5 = 52.5
æçµçãªçµæã¯52.5ãšãªããŸãã |
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Given the available resources, a suitable evening snack can be prepared using the items at hand. Hereâs a plan:
### 1. **Preparation of a Simple Egg and Milk Drink**
- **Ingredients**:
- 2 eggs from the fridge
- 1 carton of milk from the fridge
- 500 yen for purchasing fresh vegetables
- 10% off coupon for the vegetables
- **Steps**:
1. **Buy Vegetables**: Use the 500 yen and the 10% off coupon to purchase some fresh vegetables such as carrots or spinach. This will make the drink more nutritious.
2. **Prepare the Drink**:
- Boil water in a pot.
- Beat the 2 eggs in a bowl.
- Strain the beaten eggs to remove any lumps.
- Slowly pour the beaten eggs into the boiling water and stir gently to form soft curds.
- Once the curds are cooked, remove from heat.
- Add a splash of milk to give it a creamy texture.
- Stir in some finely chopped vegetables.
- Serve warm.
### 2. **Snack Options**
- **Bananas**:
- Peel and slice the 3 bananas. These can be eaten raw as a healthy snack.
### 3. **Storage and Enjoyment**
- **Storage**:
- Store the egg and milk drink in the fridge for later consumption.
- The sliced bananas can be stored in a sealed container in the fridge.
- **Enjoyment**:
- Consume the egg and milk drink and bananas as a healthy and satisfying evening snack.
This snack combination is both nutritious and easy to prepare with the resources available. Enjoy your evening! |
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