chore: add Lewis structures examples to synthesizer-ui

[wodeni]

Description

This PR adds 6 problems about Lewis structures from the Open Learning Initiative General Chemistry I course to synthesizer-ui.

Implementation strategy and design decisions

• Add some lewis structure problems with a single shared configuration. Note that this config is distinct from the geometry configuration. In other words, the config is domain-specific.
• Add support for TeX expressions in problem prompt.

Examples with steps to reproduce them

Checklist

• I have commented my code, particularly in hard-to-understand areas
• I have reviewed any generated registry diagram changes

[github-actions]

± Registry diff

M	nitricacid-lewis.svg

📊 Performance

Key

Note that each bar component rounds up to the nearest 100ms, so each full bar is an overestimate by up to 400ms.

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name ▝▀▀▀▀▀▀▀▀▀▀▀▚▄▄▄▄▄▄▄▄▄▞▀▀▀▀▀▀▀▀▀▀▀▀▚▄▄▄▄▄▄▄▄▄▖
      compilation labelling optimization rendering

Data

                                                    0s   1s   2s   3s   4s   5s   6s   7s
                                                    |    |    |    |    |    |    |    |
3d-projection-fake-3d-linear-algebra                ▝▞▖
allShapes-allShapes                                 ▝▚▚▄▄
arrowheads-arrowheads                               ▝▞▖
caffeine-structural-formula                         ▝▀▀▞▚
center-shrink-circle-animation                      ▝▞▖
circle-example-euclidean                            ▝▀▞▖
closest-point-test-closest-point                    ▝▀▀▀▀▀▀▞▖
collinear-euclidean                                 ▝▀▞▖
congruent-triangles-euclidean                       ▝▀▀▞▖
continuousmap-continuousmap                         ▝▞▖
cubic-bezier-cubic-bezier                           ▝▚▀▚
glutamine-molecules-basic                           ▝▀▞▖
half-adder-distinctive-shape                        ▝▚▀▖
hypergraph-hypergraph                               ▝▀▀▚▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▖
incenter-triangle-euclidean                         ▝▀▞▖
lagrange-bases-lagrange-bases                       ▝▞▖
lines-around-rect-rect-line-dist                    ▝▚▚
matrix-matrix-addition-matrix-ops                   ▝▚▚
matrix-matrix-division-elementwise-matrix-ops       ▝▚▚
matrix-matrix-multiplication-elementwise-matrix-ops ▝▚▚
matrix-matrix-multiplication-matrix-ops             ▝▚▚
matrix-matrix-subtraction-matrix-ops                ▝▚▚
matrix-transpose-matrix-ops                         ▝▚▚
matrix-vector-left-multiplication-matrix-ops        ▝▚▚
matrix-vector-right-multiplication-matrix-ops       ▝▚▚
midsegment-triangles-euclidean                      ▝▀▞▖
mobius-mobius                                       ▝▞▖
nitricacid-lewis                                    ▝▀▚▀▀▖
non-convex-non-convex                               ▝▚▚
one-water-molecule-atoms-and-bonds                  ▝▚▚
parallel-lines-euclidean                            ▝▀▞▖
persistent-homology-persistent-homology             ▝▀▚▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▚▖
points-around-line-shape-distance                   ▝▀▞▖
points-around-polyline-shape-distance               ▝▀▚▚
points-around-star-shape-distance                   ▝▀▀▀▞▖
quaternion-group-group-theory-cayley-graph          ▝▀▚▚
quaternion-group-group-theory-multiplication-table  ▝▀▀▀▄▞▖
scalar-vector-division-matrix-ops                   ▝▚▚
scalar-vector-left-multiplication-matrix-ops        ▝▚▚
scalar-vector-right-multiplication-matrix-ops       ▝▞▖
siggraph-teaser-euclidean-teaser                    ▝▀▞▖
small-graph-disjoint-rect-line-horiz                ▝▀▚▚
small-graph-disjoint-rects                          ▝▞▖
small-graph-disjoint-rects-large-canvas             ▝▞▖
small-graph-disjoint-rects-small-canvas             ▝▞▖
tree-tree                                           ▝▀▞▖
tree-venn                                           ▝▀▞▖
tree-venn-3d                                        ▝▚▚▄▄▖
two-triangles-triangle-mesh-3d                      ▝▚▚
two-vectors-perp-vectors-dashed                     ▝▚▚
vector-vector-addition-matrix-ops                   ▝▚▚
vector-vector-division-elementwise-matrix-ops       ▝▚▚
vector-vector-multiplication-elementwise-matrix-ops ▝▚▚
vector-vector-outerproduct-matrix-ops               ▝▚▚
vector-vector-subtraction-matrix-ops                ▝▚▚
vector-wedge-exterior-algebra                       ▝▚▚
wet-floor-atoms-and-bonds                           ▝▀▞▀▖
word-cloud-example-word-cloud                       ▝▀▞▖
wos-laplace-estimator-walk-on-spheres               ▝▀▞▖
wos-nested-estimator-walk-on-spheres                ▝▀▀▞▀▚
wos-offcenter-estimator-walk-on-spheres             ▝▀▞▀▖
wos-poisson-estimator-walk-on-spheres               ▝▀▚▀▚

[codecov]

Codecov Report

Merging #1334 (0a97229) into main (5411f35) will increase coverage by 0.03%.
The diff coverage is 0.00%.

❗ Current head 0a97229 differs from pull request most recent head d5cab86. Consider uploading reports for the commit d5cab86 to get more accurate results

@@            Coverage Diff             @@
##             main    #1334      +/-   ##
==========================================
+ Coverage   61.89%   61.92%   +0.03%     
==========================================
  Files          65       65              
  Lines        8103     8098       -5     
  Branches     1887     1886       -1     
==========================================
  Hits         5015     5015              
+ Misses       2980     2975       -5     
  Partials      108      108              

Impacted Files	Coverage Δ
packages/core/src/synthesis/Synthesizer.ts	26.36% <0.00%> (+0.30%)	⬆️

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