获取题库题目列表

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                    "questionId": 1,
                    "pmsQuestionId": 7315,
                    "pmsQuestionVersionId": 1020788,
                    "pmsQuestionCode": "CP002436",
                    "questionCode": "A1",
                    "stem": "这是一道入门题，计算a+b的和",
                    "subjectType": 3,
                    "questionType": 7,
                    "knowledge": [
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                            "knowledgeId": 287,
                            "knowledgeTitle": "模拟"
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                    "knowledgeIds": "287",
                    "difficultyTagTitle": "入门",
                    "difficultyId": 10000001,
                    "source": "官方",
                    "sourceId": 117,
                    "yearName": null,
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                    "creatorName": "ACGO官方",
                    "creatorId": 15547,
                    "updateAt": null,
                    "createdAt": "2024-01-18 13:40:55",
                    "title": "A+B problem",
                    "fromId": 1,
                    "passingRate": "25.68%",
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                    "pmsQuestionId": 7316,
                    "pmsQuestionVersionId": 1045515,
                    "pmsQuestionCode": "CP002437",
                    "questionCode": "A2",
                    "stem": "西虹市要新建一个广场，为了美观，要求完全是正方形。目前正在规划当中，正方形的大小和位置都在热烈的讨论之中。假设将可用于造广场的区域看成一个矩形，由1*1的单位正方形构成。如下图：这是一个$4 * 6$的矩形区域。\n\n\n![](https://pms-wscdn.xmwol.com/image/0cbbf55d36529537.png)\n\n\n广场要求必须在这个矩形范围内，广场边线不能跨过任意一个单位正方形内部，只能与正方形边线重合，且广场必须为正方形。那么上图中，以下4种正方形均为可行方案：\n\n![](https://pms-wscdn.xmwol.com/image/c51cdec191bec18b.png)\n\n\n市民们提出了很多建造广场的方案。现在领导想要知道，到底有多少种不同的方案可以选择？请你设计一个程序，来计算以下建造广场的最多可行方案数。",
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                    "questionType": 7,
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                            "knowledgeId": 332,
                            "knowledgeTitle": "中学数学"
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                    "difficultyTagTitle": "普及/提高-",
                    "difficultyId": 10000003,
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                    "creatorName": "ACGO官方",
                    "creatorId": 15547,
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                    "createdAt": "2024-01-18 13:41:52",
                    "title": "数方格",
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                    "questionId": 3,
                    "pmsQuestionId": 7526,
                    "pmsQuestionVersionId": 1045568,
                    "pmsQuestionCode": "CP002510",
                    "questionCode": "A3",
                    "stem": "给定长度为 $n$ 的非严格递增正整数数列 $1 \\le a_1 \\le a_2 \\le \\cdots \\le a_n$。每次可以进行的操作是：任意选择一个正整数 $1 < i < n$，将 $a_i$ 变为 $a_{i - 1} + a_{i + 1} - a_i$。求在若干次操作之后，该数列的方差最小值是多少。请输出最小值乘以 $n^2$ 的结果。\n\n其中方差的定义为：数列中每个数与平均值的差的平方的平均值。更形式化地说，方差的定义为 $D = \\frac{1}{n} \\sum_{i = 1}^{n} {(a_i - \\bar a)}^2$，其中 $\\bar a = \\frac{1}{n} \\sum_{i = 1}^{n} a_i$。",
                    "subjectType": 3,
                    "questionType": 7,
                    "knowledge": [
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                            "knowledgeId": 330,
                            "knowledgeTitle": "数论"
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                    "knowledgeIds": "330",
                    "difficultyTagTitle": "普及-",
                    "difficultyId": 10000002,
                    "source": "NOIP提高组",
                    "sourceId": 119,
                    "yearName": "2021",
                    "yearId": 115,