ex8: init
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#let title(cont, size: 18pt) = align(center)[
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#text(size: size * 2, weight: "bold")[#underline[#cont]]
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]
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#let butcher(s, nums) = {
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let nums = nums.map(x => if type(x) == float or type(x) == int {
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$#x$
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} else { x })
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table(
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stroke: (x, y) => if x == 0 and y == s {
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(right: 0.7pt + black, top: 0.7pt + black)
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} else if x == 0 {
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(right: 0.7pt + black)
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} else if y == s {
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(top: 0.7pt + black)
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},
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align: (x, y) => (
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if x > 0 { center } else { left }
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),
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columns: s + 1,
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$0$, ..range(s).map(x => none), // first row
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..range(2, s + 1)
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.map(i => {
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let p(i) = calc.floor(i * i / 2 + i / 2 - 1)
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(
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nums.slice(p(i - 1), p(i - 1) + i),
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range(i, s + 1).map(x => none),
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).flatten()
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})
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.flatten(),
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none, ..nums.rev().slice(0, s).rev() // last row
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)
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}
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#import "lib.typ"
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#let FONT_SIZE = 18pt;
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#set page(paper: "a4", margin: (x: 2.6cm, y: 2.8cm), numbering: "1 : 1")
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#set par(justify: true, leading: 0.52em)
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#set text(font: "FreeSerif", size: FONT_SIZE, lang: "us")
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#show math.equation: set text(
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font: "Euler Math",
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size: (FONT_SIZE * 1.0),
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lang: "en",
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)
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#set heading(numbering: none)
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#show heading.where(level: 1): it => {
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rect(inset: FONT_SIZE / 2)[#it]
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}
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these are my solutions to the eighth exercise set of TMA4135.
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this document was created using
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#link("https://typst.app/")[#text(blue.darken(5%))[typst]].
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#lib.title(size: FONT_SIZE)[exercise 7]
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\
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#outline(title: none)
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#pagebreak()
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= problem 1
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#include "problem1.typ"
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