Can you solve this?

AtCoder

IDabc121_b

Time2000ms

Memory256MB

Difficulty—

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

Samples

Input #1

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.

Input #2

Output #2

Input #3

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

Output #3

0

All of them are _Wrong Answer_. Except yours.

API Response (JSON)

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