Problem:
Score : 200 points

Problem Statement

There are N pieces of source code. The characteristics of the i-th code is represented by M integers A_{i1}, A_{i2}, ..., A_{iM}.

Additionally, you are given integers B_1, B_2, ..., B_M and C.

The i-th code correctly solves this problem if and only if A_{i1} B_1 + A_{i2} B_2 + ... + A_{iM} B_M + C > 0.

Among the N codes, find the number of codes that correctly solve this problem.

Constraints

All values in input are integers.

1 \leq N, M \leq 20

-100 \leq A_{ij} \leq 100

-100 \leq B_i \leq 100

-100 \leq C \leq 100

Input

Input is given from Standard Input in the following format:

N M C
B_1 B_2 ... B_M
A_{11} A_{12} ... A_{1M}
A_{21} A_{22} ... A_{2M}
\vdots
A_{N1} A_{N2} ... A_{NM}

Output

Print the number of codes among the given N codes that correctly solve this problem.

Sample Input 1

2 3 -10
1 2 3
3 2 1
1 2 2

Sample Output 1

1

Only the second code correctly solves this problem, as follows:

Since 3 \times 1 + 2 \times 2 + 1 \times 3 + (-10) = 0 \leq 0, the first code does not solve this problem.

1 \times 1 + 2 \times 2 + 2 \times 3 + (-10) = 1 > 0, the second code solves this problem.

Sample Input 2

5 2 -4
-2 5
100 41
100 40
-3 0
-6 -2
18 -13

Sample Output 2

2

Sample Input 3

3 3 0
100 -100 0
0 100 100
100 100 100
-100 100 100

Sample Output 3

0

All of them are Wrong Answer. Except yours.

Solution in C++ (GCC 9.2.1) (judge verdict: Accepted)

/*==============================================*\
Codeforces ID:    mdshihab
                                                  |
Name:     Md. Shihabul Minhaz                     |
Study:      CSE, JKKNIU                           |
Address:  Trishal, Mymensingh, Bangladesh         |
                                                  |
 mail:   mdshihabul20171@gmail.com                |
 FB  :   fb.com/mdshihabul.minhaz.7               |
 github: Shihabulminhaz                           |
stopstalk :  mdshihab                             |
                                                  |
@uthor   Md. Shihabul Minhaz (shihab)             |
\*===============================================*/


#include<bits/stdc++.h>
using namespace std;
#define fi(a) scanf("%d",&a);
#define fli(a) scanf("%ld",&a);
#define fll(a) scanf("%lld",&a);
#define pi(a) printf("%d\n",a);
#define ppi(i,a) printf("Case %d: %d\n",i,a);
#define ll long long
#define fast ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
int shihab;
void FI()
{
#ifndef ONLINE_JUDGE
    freopen("C:\\Users\\SHIHAB\\Desktop\\input.in","r",stdin);
#endif // ONLINE_JUDGE
}

int main()
{
    fast
   // FI(); /// skip this line for compile
    int n,m,c,arr[101],x,cnt=0,sum;
    cin >> n >> m >> c;
    for(int i=0;i<m;i++){
        cin >> arr[i];
    }
    while(n--){
        sum = 0;
        for(int i=0;i<m;i++){
            cin >> x;
            sum+=arr[i]*x;
        }
        sum+=c;
        if(sum>0) cnt++;
    }
    cout << cnt << endl;
    return 0;
    //code end
}
//okbye