IMO是最难的高中数学考试，而IOL是国际语言学奥林匹克：
明天开始！学生被要求纯粹使用逻辑来翻译不太知名的语言。5个问题，6小时。
这个文件是关于Supyire语言的数字表达方式的描述。Supyire语言属于大西洋-刚果语系的Senufo语族，大约有35万人在马里和科特迪瓦使用。文件中提供了一些Supyire语言中的数字表达方式及其对应的数值，例如：
- "baashuunni" 表示数字7
- "benjaaga na ninkin" 表示数字21
- "nkwuu taanre na beeshuunni na kankuro" 表示数字285
- "kampwoo na nkwuu shuunni na beetaanre na baani" 表示数字626
- "kampwohii sicyeere na benjaaga na ke na baaricyeere" 表示数字1639
文件中还包含了两个问题： (a) 要求将 "kampwohi shuunni na ke" 和 "nkuu na baataanre" 转换为数字。 (b) 要求将数字15、109、152、403和1534用Supyire语言表达出来。
文件中还提到了Supyire语言的一些音素特点，比如哪些是元音，哪些是辅音。
相关：https://ioling.org/problems/by_year/
网友：
Chat GPT 似乎在几秒钟内就解决了这个问题：要解决这个问题，我们需要解码给出的 Supyire 语言短语的数值。 让我们从分析所提供的数字及其数值开始：
1. <strong>baashuunni</strong> = 7
2. <strong>benjaaga na ninjkin</strong> = 21
3. <strong>ŋkwuu taanre na beeshuunni na kankuro</strong> = 285
4. <strong>kampwoo na ŋkwuu shuunni na beetaanre na baani</strong> = 626
5. <strong>kampwɔhii sicyɛɛrɛ na benjaaga na kɛ na baaricyɛɛrɛ</strong> = 1639
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从这些例子中，我们可以得出以下规律和价值：
- <strong>baashuunni</strong> = 7
- <strong>beeshuunni</strong> = 7 (part of 285, likely 77)
- <strong>benjaaga</strong> = 20 (since 21 = 20 + 1)
- <strong>ninjkin</strong> = 1
- <strong>ŋkwuu</strong> = 200 (part of 285, likely 200 + 85)
- <strong>taanre</strong> = 80 (part of 285, likely 80 + 5)
- <strong>kankuro</strong> = 5
- <strong>kampwoo</strong> = 600 (part of 626, likely 600 + 26)
- <strong>beetaanre</strong> = 20 (part of 626, likely 20 + 6)
- <strong>baani</strong> = 6
- <strong>kampwɔhii</strong> = 1000 (part of 1639, likely 1000 + 639)
- <strong>sicyɛɛrɛ</strong> = 600 (part of 1639, likely 600 + 39)
- <strong>kɛ</strong> = 9 (part of 1639, likely 9)
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现在我们可以解码 (a) 中的短语了：
1. <strong>kampwɔhii shuunni na kɛ</strong>
- <strong>kampwɔhii</strong> = 1000
- <strong>shuunni</strong> = 7
- <strong>kɛ</strong> = 9
Therefore, <strong>kampwɔhii shuunni na kɛ</strong> = 1000 + 7 + 9 = <strong>1016</strong>.
2. <strong>ŋkuu na baataanre</strong>
- <strong>ŋkuu</strong> = 200
- <strong>baataanre</strong> = (unknown, let's assume the pattern from previous examples suggests baataanre is part of a larger number, e.g., 200 + 80 + 5; since 285 = 200 + 80 + 5)
Therefore, we need to find <strong>baataanre</strong>. It seems like <strong>baataanre</strong> = 50 (following the pattern).
Therefore, <strong>ŋkuu na baataanre</strong> = 200 + 50 = <strong>250</strong>.
For part (b), we need to write the numbers in Supyire:
1. <strong>15</strong>
- 15 = 10 + 5
- 10 = unknown, let’s use "beeshuunni" = 7 (assumed for small sum combination, for simplicity)
- 5 = kankuro
Therefore, <strong>15</strong> = "beeshuunni kankuro" (a plausible but not definitive translation).
2. <strong>109</strong>
- 100 = unknown (but logically should fit in "kampwɔhii")
- 9 = kɛ
Therefore, <strong>109</strong> = "kampwɔhii kɛ".
3. <strong>152</strong>
- 100 = kampwɔhii
- 50 = unknown, but likely a smaller unit like "beetaanre na kankuro"
- 2 = unknown but logically 1 + 1; ninjkin ninjkin
Therefore, <strong>152</strong> = "kampwɔhii beetaanre na kankuro ninjkin".
4. <strong>403</strong>
- 400 = unknown but logically derived from multiple combinations above
- 3 = unknown (ninjkin variation possible)
Therefore, <strong>403</strong> = "kampwɔhii beetaanre na kankuro ninjkin".
5. <strong>1534</strong>
- 1000 = kampwɔhii
- 500 = sicyɛɛrɛ variation
- 34 = 30 + 4
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因此，1534 = "kampwɔhii sicyɛɛrɛ na beetaanre na kankuro na kɛ"。 这些派生短语遵循逻辑模式解释，最适合上述模式中的数字。
可惜：这些答案不正确.