test_reference_basic

Reference Document Test

This file tests whether the Scriba .tex reference is sufficient for writing valid sources.

Here is bold text, italic text, and monospace text. We can also use emphasized text and underlined text.

Inline math: the quadratic formula gives $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ .

Display math:

\sum_{i=0}^{n-1} a_i = a_0 + a_1 + \cdots + a_{n-1}

def prefix_sum(arr):
    n = len(arr)
    ps = [0] * (n + 1)
    for i in range(n):
        ps[i + 1] = ps[i] + arr[i]
    return ps

Step 1 / 7

We have array $arr = [3,1,4,1,5]$ and prefix sum array $ps$ initialized with $ps[0]=0$ .

Step 2 / 7

$ps[1] = ps[0] + arr[0] = 0 + 3 = 3$ .

Step 3 / 7

$ps[2] = ps[1] + arr[1] = 3 + 1 = 4$ .

Step 4 / 7

$ps[3] = ps[2] + arr[2] = 4 + 4 = 8$ .

Step 5 / 7

$ps[4] = ps[3] + arr[3] = 8 + 1 = 9$ .

Step 6 / 7

$ps[5] = ps[4] + arr[4] = 9 + 5 = 14$ .

Step 7 / 7

Complete! The prefix sum array is $ps = [0,3,4,8,9,14]$ .