修改13316题目的一个bug
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@ -1,7 +1,7 @@
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import os,re,json
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"""这里编辑题号(列表)后将在vscode中打开窗口, 编辑后保存关闭"""
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problems = "13311"
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editor = "王伟叶"
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problems = "13316"
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editor = "余利成"
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def generate_number_set(string,dict):
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string = re.sub(r"[\n\s]","",string)
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@ -349997,7 +349997,7 @@
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},
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"013316": {
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"id": "013316",
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"content": "已知数列$\\{a_n\\}$是首项为$0$的递增数列, 前$n$项和为$S_n$满足$S_n=\\dfrac{1}{2} a_n^2+\\dfrac{1}{2} a_n$($n \\geq 1$, $n \\in \\mathbf{N}$).\\\\\n(1) 求数列$\\{a_n\\}$的通项公式;\\\\\n(2) 设$b_n=\\dfrac{4}{15} \\cdot(-2)^{a_n}$($n \\geq 1$, $n \\in \\mathbf{N}$), 对任意的正整数$k$, 将集合$\\{b_{2 k-1}, b_{2 k}$, $b_{2 k+1}\\}$中的三个元素排成一个递增的等差数列, 其公差为$d_k$, 求证: 数列$\\{d_k\\}$为等比数列.",
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"content": "已知数列$\\{a_n\\}$是首项为$0$的严格增数列, 前$n$项和为$S_n$满足$S_n=\\dfrac{1}{2} a_n^2+\\dfrac{1}{2} a_n$($n \\geq 1$, $n \\in \\mathbf{N}$).\\\\\n(1) 求数列$\\{a_n\\}$的通项公式;\\\\\n(2) 设$b_n=\\dfrac{4}{15} \\cdot(-2)^{a_n}$($n \\geq 1$, $n \\in \\mathbf{N}$), 对任意的正整数$k$, 将集合$\\{b_{2 k-1}, b_{2 k}$, $b_{2 k+1}\\}$中的三个元素排成一个递增的等差数列, 其公差为$d_k$, 求证: 数列$\\{d_k\\}$为等比数列.",
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"objs": [],
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"tags": [
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"第四单元"
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@ -350009,7 +350009,8 @@
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"usages": [],
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"origin": "2022版双基百分百",
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"edit": [
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"20230123\t王伟叶"
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"20230123\t王伟叶",
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"20230509\t余利成"
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],
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"same": [],
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"related": [],
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