r39
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1AI로 나무마크 정복하기
r39
2[math(\text{수열 } \{a_n\}\text{이 모든 자연수 } n\text{에 대하여 })]
3
4[math(2a_{n+1}=a_n(2-a_n)\text{을 만족시킨다.})]
5
6[math(21a_1+a_4=0,\qquad
7\sum_{k=1}^{3}\frac{1}{a_k-2}=\frac{11}{42})]
8
9[math(\text{일 때, } a_1\text{의 값을 구하시오.})]
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10[[분류:LLM]]
11
12{{{#!html
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13<div style="
14 max-width:860px;
15 margin:16px auto;
16 padding:0;
17 border:2px solid #2f80ff;
18 border-radius:14px;
19 background:#070b14;
20 color:#e8f1ff;
21 font-family:Arial, 'Noto Sans KR', sans-serif;
22 box-shadow:0 0 18px rgba(47,128,255,0.45);
23 overflow:hidden;
24">
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25
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26 <div style="
27 background:linear-gradient(90deg,#102a55,#0b1220,#102a55);
28 padding:18px 22px;
29 border-bottom:1px solid #2f80ff;
30 ">
31 <div style="font-size:26px;font-weight:800;letter-spacing:1px;">
32 🚀 NAMU SPACE PROGRAM
33 </div>
34 <div style="font-size:13px;color:#9fc5ff;margin-top:4px;">
35 Mission Control Interface / Archive Level: BLUE-7 / Renderer Compatibility: Experimental
36 </div>
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37 </div>
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38
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39 <div style="
40 display:flex;
41 flex-wrap:wrap;
42 gap:12px;
43 padding:16px;
44 background:#080d18;
45 ">
46
47 <div style="
48 flex:1 1 240px;
49 border:1px solid #244f91;
50 border-radius:10px;
51 padding:14px;
52 background:#0c1628;
53 ">
54 <div style="font-size:14px;color:#80b7ff;">MISSION</div>
55 <div style="font-size:22px;font-weight:bold;margin-top:4px;">OPERATION TREEFALL</div>
56 <div style="margin-top:10px;font-size:13px;line-height:1.7;color:#d6e7ff;">
57 목표 문서: <b>비공개</b><br>
58 발사체: <b>NAMU-LV Mk.II</b><br>
59 상태: <span style="color:#39ff88;font-weight:bold;">GO</span><br>
60 위험도: <span style="color:#ffcc66;font-weight:bold;">MODERATE</span>
61 </div>
62 </div>
63
64 <div style="
65 flex:1 1 240px;
66 border:1px solid #244f91;
67 border-radius:10px;
68 padding:14px;
69 background:#0c1628;
70 ">
71 <div style="font-size:14px;color:#80b7ff;">COUNTDOWN</div>
72 <div style="font-size:34px;font-weight:900;margin-top:6px;color:#ffffff;">
73 T - 00:10:42
74 </div>
75 <div style="margin-top:10px;font-size:13px;color:#adcfff;">
76 자동 시퀀스 대기 중 · 수동 개입 가능
77 </div>
78 </div>
79
80 <div style="
81 flex:1 1 240px;
82 border:1px solid #244f91;
83 border-radius:10px;
84 padding:14px;
85 background:#0c1628;
86 ">
87 <div style="font-size:14px;color:#80b7ff;">CREW STATUS</div>
88 <div style="margin-top:10px;font-size:13px;line-height:1.8;">
89 🧑‍🚀 문서술사: <span style="color:#39ff88;">ONLINE</span><br>
90 🛰️ 각주 관제관: <span style="color:#39ff88;">ONLINE</span><br>
91 📡 링크 담당관: <span style="color:#ffcc66;">STANDBY</span><br>
92 🛡️ 반달 감시관: <span style="color:#ff6666;">ALERT</span>
93 </div>
94 </div>
95
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96 </div>
97
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98 <div style="padding:0 16px 16px 16px;">
99 <div style="
100 border:1px solid #315f9f;
101 border-radius:10px;
102 background:#0a1323;
103 padding:14px;
104 margin-bottom:14px;
105 ">
106 <div style="font-size:18px;font-weight:bold;margin-bottom:10px;">
107 📊 Telemetry Panel
108 </div>
109
110 <div style="font-size:13px;margin-bottom:6px;">문서 안정성</div>
111 <div style="height:16px;background:#111c30;border-radius:20px;overflow:hidden;margin-bottom:12px;">
112 <div style="width:91%;height:16px;background:linear-gradient(90deg,#2f80ff,#39ff88);"></div>
113 </div>
114
115 <div style="font-size:13px;margin-bottom:6px;">각주 밀도</div>
116 <div style="height:16px;background:#111c30;border-radius:20px;overflow:hidden;margin-bottom:12px;">
117 <div style="width:64%;height:16px;background:linear-gradient(90deg,#2f80ff,#ffcc66);"></div>
118 </div>
119
120 <div style="font-size:13px;margin-bottom:6px;">토론 발생 확률</div>
121 <div style="height:16px;background:#111c30;border-radius:20px;overflow:hidden;margin-bottom:12px;">
122 <div style="width:27%;height:16px;background:linear-gradient(90deg,#39ff88,#ffcc66);"></div>
123 </div>
124
125 <div style="font-size:13px;margin-bottom:6px;">반달 탐지 민감도</div>
126 <div style="height:16px;background:#111c30;border-radius:20px;overflow:hidden;">
127 <div style="width:88%;height:16px;background:linear-gradient(90deg,#ffcc66,#ff5555);"></div>
128 </div>
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129 </div>
130
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131 <div style="
132 display:grid;
133 grid-template-columns:repeat(auto-fit,minmax(180px,1fr));
134 gap:10px;
135 margin-bottom:14px;
136 ">
137 <div style="border:1px solid #244f91;border-radius:8px;background:#0c1628;padding:12px;">
138 <div style="color:#80b7ff;font-size:12px;">FUEL</div>
139 <div style="font-size:24px;font-weight:bold;color:#39ff88;">98%</div>
140 <div style="font-size:12px;color:#adcfff;">RP-Tree stable</div>
141 </div>
142
143 <div style="border:1px solid #244f91;border-radius:8px;background:#0c1628;padding:12px;">
144 <div style="color:#80b7ff;font-size:12px;">OXIDIZER</div>
145 <div style="font-size:24px;font-weight:bold;color:#39ff88;">94%</div>
146 <div style="font-size:12px;color:#adcfff;">LOX nominal</div>
147 </div>
148
149 <div style="border:1px solid #244f91;border-radius:8px;background:#0c1628;padding:12px;">
150 <div style="color:#80b7ff;font-size:12px;">GUIDANCE</div>
151 <div style="font-size:24px;font-weight:bold;color:#ffcc66;">76%</div>
152 <div style="font-size:12px;color:#adcfff;">minor drift</div>
153 </div>
154
155 <div style="border:1px solid #244f91;border-radius:8px;background:#0c1628;padding:12px;">
156 <div style="color:#80b7ff;font-size:12px;">WIKI-LINK</div>
157 <div style="font-size:24px;font-weight:bold;color:#39ff88;">ON</div>
158 <div style="font-size:12px;color:#adcfff;">hyperlink armed</div>
159 </div>
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160 </div>
161
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162 <div style="
163 border:1px solid #315f9f;
164 border-radius:10px;
165 background:#050910;
166 padding:14px;
167 margin-bottom:14px;
168 font-family:Consolas,monospace;
169 color:#39ff88;
170 line-height:1.65;
171 font-size:13px;
172 ">
173 <div style="color:#80b7ff;font-family:Arial,'Noto Sans KR',sans-serif;font-size:18px;font-weight:bold;margin-bottom:8px;">
174 🖥️ System Log
175 </div>
176 [00:00:01] Renderer handshake initialized...<br>
177 [00:00:04] Checking document syntax integrity... <span style="color:#39ff88;">OK</span><br>
178 [00:00:08] Footnote chamber pressure... <span style="color:#39ff88;">NOMINAL</span><br>
179 [00:00:12] Hyperlink vector alignment... <span style="color:#ffcc66;">ADJUSTING</span><br>
180 [00:00:19] Table of contents anomaly scan... <span style="color:#ff6666;">WARNING</span><br>
181 [00:00:23] Manual override key inserted by 문서술사<br>
182 [00:00:31] Launch permission: <span style="color:#ffffff;font-weight:bold;">GRANTED</span><br>
183 [00:00:42] Final message loaded: <span style="color:#ffcc66;">나무는 답을 알고 있다.</span>
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184 </div>
185
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186 <div style="
187 border:1px solid #315f9f;
188 border-radius:10px;
189 background:#0c1628;
190 padding:14px;
191 margin-bottom:14px;
192 ">
193 <div style="font-size:18px;font-weight:bold;margin-bottom:10px;">
194 🧾 Mission Checklist
195 </div>
196
197 <table style="width:100%;border-collapse:collapse;font-size:13px;">
198 <tr style="background:#102a55;color:#ffffff;">
199 <th style="padding:8px;border:1px solid #244f91;">단계</th>
200 <th style="padding:8px;border:1px solid #244f91;">작업</th>
201 <th style="padding:8px;border:1px solid #244f91;">상태</th>
202 </tr>
203 <tr>
204 <td style="padding:8px;border:1px solid #244f91;">01</td>
205 <td style="padding:8px;border:1px solid #244f91;">문단 구조 확인</td>
206 <td style="padding:8px;border:1px solid #244f91;color:#39ff88;font-weight:bold;">완료</td>
207 </tr>
208 <tr>
209 <td style="padding:8px;border:1px solid #244f91;">02</td>
210 <td style="padding:8px;border:1px solid #244f91;">링크 경로 검증</td>
211 <td style="padding:8px;border:1px solid #244f91;color:#39ff88;font-weight:bold;">완료</td>
212 </tr>
213 <tr>
214 <td style="padding:8px;border:1px solid #244f91;">03</td>
215 <td style="padding:8px;border:1px solid #244f91;">각주 과압 여부 확인</td>
216 <td style="padding:8px;border:1px solid #244f91;color:#ffcc66;font-weight:bold;">주의</td>
217 </tr>
218 <tr>
219 <td style="padding:8px;border:1px solid #244f91;">04</td>
220 <td style="padding:8px;border:1px solid #244f91;">토론 점화 가능성 분석</td>
221 <td style="padding:8px;border:1px solid #244f91;color:#ff6666;font-weight:bold;">감시 중</td>
222 </tr>
223 </table>
224 </div>
225
226 <div style="
227 border:1px solid #ffcc66;
228 border-radius:10px;
229 background:#211705;
230 padding:14px;
231 margin-bottom:14px;
232 color:#fff0c2;
233 ">
234 <div style="font-size:18px;font-weight:bold;margin-bottom:8px;">
235 ⚠️ Classified Notice
236 </div>
237 <div style="line-height:1.7;font-size:14px;">
238 이 문서는 실제 우주 기관과 관계가 없습니다.<br>
239 단, 문서 편집 중 갑자기 로켓이 발사되는 느낌이 들 수 있습니다.<br>
240 지나친 장식은 가독성을 해칠 수 있으므로 사용자 문서나 연습장에서만 사용하는 것을 권장합니다.
241 </div>
242 </div>
243
244 <div style="
245 border:1px solid #315f9f;
246 border-radius:10px;
247 background:#0a1323;
248 padding:14px;
249 margin-bottom:14px;
250 ">
251 <div style="font-size:18px;font-weight:bold;margin-bottom:10px;">
252 📡 Final Transmission
253 </div>
254
255 <div style="
256 padding:12px;
257 border-left:5px solid #2f80ff;
258 background:#08101f;
259 line-height:1.8;
260 font-size:15px;
261 ">
262 “문서는 단순한 글이 아니다.<br>
263 그것은 링크와 각주와 취소선으로 이루어진 작은 우주다.<br>
264 그리고 누군가는 오늘도 그 우주에 쉼표 하나를 추가한다.”
265 </div>
266 </div>
267
268 <div style="
269 text-align:center;
270 padding:14px;
271 border-radius:10px;
272 background:linear-gradient(90deg,#0b1220,#102a55,#0b1220);
273 border:1px solid #2f80ff;
274 ">
275 <div style="font-size:22px;font-weight:900;color:#ffffff;">
276 🚀 LAUNCH STATUS: READY
277 </div>
278 <div style="font-size:13px;color:#adcfff;margin-top:5px;">
279 Press edit button to continue mission.
280 </div>
281 </div>
282
283 </div>
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284</div>
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285}}}
286
287== 기록 ==
r38
288맛있습니다. 가 아니라 문서가 언제 바뀐거야