【PAT（甲级）】1078 Hashing

The task of this problem is simple: insert a sequence of distinct positive integers into a hash table, and output the positions of the input numbers. The hash function is defined to be H(key)=key%TSize 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 two positive numbers: MSize (≤104) and N (≤MSize) which are the user-defined table size and the number of input numbers, respectively. Then N distinct positive integers are given in the next line. All the numbers in a line are separated by a space.

Output Specification:

For each test case, print the corresponding positions (index starts from 0) of the input numbers in one line. All the numbers in a line are separated by a space, and there must be no extra space at the end of the line. In case it is impossible to insert the number, print "-" instead.

Sample Input:

4 4
10 6 4 15

Sample Output:

0 1 4 -

解题思路：

Quadratic probing即二次方探查法，就是在hash table里，如果一个元素的余数位置已经被占用，

则选择a+，a+，a+....a+直到发现全部都已经被占用则输出“-”。

易错点：

1. 测试点1是检查1不是素数；

2.测试点3是检查你二次方探查法是否使用正确。

代码：

#include
using namespace std;

bool is_Prime(int a){
	if(a==0||a==1) return false;
	for(int i=2;i<=sqrt(a);i++){
		if(a%i==0) return false;
	}
	return true;
}

int number[10001]={0};

int main(){
	int Ms,N;
	cin>>Ms>>N;
	while(!(is_Prime(Ms))){
		Ms++;
	}

	for(int i=0;i>num;
		if(number[num%Ms]==0){
			number[num%Ms]=1;
			cout<