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  • 2026-11-06 19:06:02
美团2024秋招笔试真题流出……

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编程题
⑤小美的排列构造
小美定义一个数组a的权值计算如下:
首先将a的每一对相邻两项求和,得到一个b数组。那么b数组的最大值减最小值即为a数组的权值。
例如,若a=[2,1,3],那么b=[3,4],b数组的极差是1。因此a数组的权值为1。
现在小美希望你能构造一个长度为n的排列,满足权值尽可能小。你能帮帮她吗?
排列是指一个长度为n的数组,其中1到n每个元素恰好出现一次。
时间限制:C/C++ 1秒,其他语言2秒空间限制:C/C++ 256M,其他语言512M

输入描述:

一个正整数n,代表排列的长度。2≤n≤200000
‍

输出描述:

一个合法的排列。如果有多解输出任意即可。

示例1

输入例子:3输出例子:2 1 3例子说明:这个数组的权值为 1。输出[2,3,1]等排列也是合法的。

答案1(作者:longkouding)

import sysfor line in sys.stdin:    a = line.split()n = int(a[0])res = [0 for i in range(n)]max_n = nmin_n = 1for i in range(1,n,2):    res[i] = max_n    max_n = max_n - 1for i in range(0,n,2):    res[i] = min_n    min_n +=1out = " ".join(str(r) for r in res)print(out)

答案2(作者:我嘞个逗)

  #include <iostream>     #include <vector>     using namespace std;     void  paile(int n, vector<int>& result) {         if (n == 1) result[0] = 1;         else if (n == 2)  {             result[0] = 1;             result[1] = 2;         } else if (n >= 3) {             int temp = n / 2 + 1;             int num;             result[0] = temp;             for (int i = 1; i < n; i++) {                 if (i % 2 == 0) {                     num = i / 2;                     result[i] = temp + num;                 } else {                     num = i / 2 + 1;                     result[i] = temp - num;                 }             }         }     }     int main() {         int n;         cin >> n;         vector<int> result(n, 0);         paile(n, result);         for (int i = 0; i < n; ++i) {             cout << result[i] <<  " ";         }         return 0;     }  

答案3(作者:酸菜秋刀鱼)

#include <iostream>#include <vector>using namespace std;int main() {    int n;    cin >> n;    //初始化构造顺序排列    vector<int> a;    int i = 1, j = n;    // int mid = n/2 + 1;    while(a.size()<n && i < j ){        // 交叉重新排列数组        a.push_back(i);        a.push_back(j);        i++;        j--;    }    a.push_back(i);    for(int c = 0; c<n; c++){        cout << a[c] << " ";    }    }// 64 位输出请用 printf("%lld")
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  2. 运行时间 : 0.125629s [ 吞吐率:7.96req/s ] 内存消耗:4,847.85kb 文件加载:140
  3. 缓存信息 : 0 reads,0 writes
  4. 会话信息 : SESSION_ID=50dec12141c8a66198caab76c2dc216a
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  1. CONNECT:[ UseTime:0.000484s ] mysql:host=172.18.0.4;port=3306;dbname=a_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000597s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000399s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000370s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000546s ]
  6. SELECT * FROM `set` [ RunTime:0.000326s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000609s ]
  8. SELECT * FROM `article` WHERE `id` = 540544 LIMIT 1 [ RunTime:0.000383s ]
  9. UPDATE `article` SET `lasttime` = 1794079626 WHERE `id` = 540544 [ RunTime:0.001060s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000376s ]
  11. SELECT * FROM `article` WHERE `id` < 540544 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000454s ]
  12. SELECT * FROM `article` WHERE `id` > 540544 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000434s ]
  13. SELECT * FROM `article` WHERE `id` < 540544 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000692s ]
  14. SELECT * FROM `article` WHERE `id` < 540544 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000850s ]
  15. SELECT * FROM `article` WHERE `id` < 540544 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000805s ]
0.141962s