数学·结合·enumeration 模式
12 道题目
模式页适合用来建立可复用解题框架。先识别题目特征,再按固定流程解释状态定义、转移和边界。
识别信号
- Expect efficient palindrome generation without checking all products.
- Look for correct handling of modulo 1337 to avoid integer overflow.
- Can the candidate quickly recognize the mathematical pattern behind consecutive sums?
解题流程
- 1. 明确窗口/状态定义
- 2. 更新状态并维护约束
- 3. 用边界样例验证
常见失分点
- Checking every product of n-digit numbers instead of generating palindrome candidates first.
- Forgetting that the starting number must be positive, which could lead to invalid sequences.
- Failing to account for the fact that (a, b) and (b, a) represent the same triple, leading to double-counting.
推荐题单梯度
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Find the largest palindromic number from the product of two n-digit integers using math and enumeration efficiently.
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