PAT甲级——A1145 HashingAverageSearchTime25

Posted 2020-11-22 zzw1024

The task of this problem is simple: insert a sequence of distinct positive integers into a hash table first. Then try to find another sequence of integer keys from the table and output the average search time (the number of comparisons made to find whether or not the key is in the table). The hash function is defined to be ( where TSize is the maximum size of the hash table. Quadratic probing (with positive increments only) is used to solve the collisions.

Note that the table size is better to be prime. If the maximum size given by the user is not prime, you must re-define the table size to be the smallest prime number which is larger than the size given by the user.

Input Specification:

Each input file contains one test case. For each case, the first line contains 3 positive numbers: MSize, N, and M, which are the user-defined table size, the number of input numbers, and the number of keys to be found, respectively. All the three numbers are no more than 1. Then N distinct positive integers are given in the next line, followed by M positive integer keys in the next line. All the numbers in a line are separated by a space and are no more than 1.

Output Specification:

For each test case, in case it is impossible to insert some number, print in a line X cannot be inserted. where X is the input number. Finally print in a line the average search time for all the M keys, accurate up to 1 decimal place.

Sample Input:

4 5 4
10 6 4 15 11
11 4 15 2

Sample Output:

15 cannot be inserted.
2.8

Soulution：

        整道题很水的，只不过我一定要注意对于查找不存在的数字的情况，当查到某位置时，此处hash表为空，则表明该数不存在，无需再查找下去

 1 #include <iostream>
 2 #include <vector>
 3 #include <cmath>
 4 using namespace std;
 5 bool isPrime(int x)
 6 {
 7     for (int i = 2; i*i <= x; ++i)
 8         if (x%i == 0)
 9             return false;
10     return true;
11 }
12 int main()
13 {
14     int n, m, k, x;
15     cin >> n >> m >> k;
16     while (!isPrime(n))++n;
17     vector<int>v(n, 0);
18     while (m--)
19     {
20         cin >> x;
21         bool flag = false;
22         for (int i = 0; i < n && flag == false; ++i)
23         {
24             if (v[(x + i * i) % n] == 0)
25             {
26                 v[(x + i * i) % n] = x;
27                 flag = true;
28             }
29         }
30         if (flag == false)
31             printf("%d cannot be inserted.
", x);
32     }
33     double cnt = 0;
34     for (int i = 0; i < k; ++i)
35     {
36         cin >> x;
37         for (int j = 0; j <= n; ++j)
38         {
39             ++cnt;
40             if (v[(x + j * j) % n] == x || v[(x + j * j) % n] == 0)//==0表示不存在，我就死在这点上了
41                 break;
42         }
43     }
44     printf("%.1f", cnt / k);
45     return 0;
46 }