diff --git a/lecture-impl.html b/lecture-impl.html
index 2e78ba5..09948be 100644
--- a/lecture-impl.html
+++ b/lecture-impl.html
@@ -10,7 +10,7 @@
* @size 4:3 960px 720px
*/div#p>svg>foreignObject>section{--color-prettylights-syntax-comment:#6e7781;--color-prettylights-syntax-constant:#0550ae;--color-prettylights-syntax-entity:#8250df;--color-prettylights-syntax-storage-modifier-import:#24292f;--color-prettylights-syntax-entity-tag:#116329;--color-prettylights-syntax-keyword:#cf222e;--color-prettylights-syntax-string:#0a3069;--color-prettylights-syntax-variable:#953800;--color-prettylights-syntax-brackethighlighter-unmatched:#82071e;--color-prettylights-syntax-invalid-illegal-text:#f6f8fa;--color-prettylights-syntax-invalid-illegal-bg:#82071e;--color-prettylights-syntax-carriage-return-text:#f6f8fa;--color-prettylights-syntax-carriage-return-bg:#cf222e;--color-prettylights-syntax-string-regexp:#116329;--color-prettylights-syntax-markup-list:#3b2300;--color-prettylights-syntax-markup-heading:#0550ae;--color-prettylights-syntax-markup-italic:#24292f;--color-prettylights-syntax-markup-bold:#24292f;--color-prettylights-syntax-markup-deleted-text:#82071e;--color-prettylights-syntax-markup-deleted-bg:#ffebe9;--color-prettylights-syntax-markup-inserted-text:#116329;--color-prettylights-syntax-markup-inserted-bg:#dafbe1;--color-prettylights-syntax-markup-changed-text:#953800;--color-prettylights-syntax-markup-changed-bg:#ffd8b5;--color-prettylights-syntax-markup-ignored-text:#eaeef2;--color-prettylights-syntax-markup-ignored-bg:#0550ae;--color-prettylights-syntax-meta-diff-range:#8250df;--color-prettylights-syntax-brackethighlighter-angle:#57606a;--color-prettylights-syntax-sublimelinter-gutter-mark:#8c959f;--color-prettylights-syntax-constant-other-reference-link:#0a3069;--color-fg-default:#24292f;--color-fg-muted:#57606a;--color-fg-subtle:#6e7781;--color-canvas-default:#fff;--color-canvas-subtle:#f6f8fa;--color-border-default:#d0d7de;--color-border-muted:#d8dee4;--color-neutral-muted:rgba(175,184,193,.2);--color-accent-fg:#0969da;--color-accent-emphasis:#0969da;--color-attention-subtle:#fff8c5;--color-danger-fg:#cf222e;color-scheme:light}div#p>svg>foreignObject>section:where(.invert){--color-prettylights-syntax-comment:#8b949e;--color-prettylights-syntax-constant:#79c0ff;--color-prettylights-syntax-entity:#d2a8ff;--color-prettylights-syntax-storage-modifier-import:#c9d1d9;--color-prettylights-syntax-entity-tag:#7ee787;--color-prettylights-syntax-keyword:#ff7b72;--color-prettylights-syntax-string:#a5d6ff;--color-prettylights-syntax-variable:#ffa657;--color-prettylights-syntax-brackethighlighter-unmatched:#f85149;--color-prettylights-syntax-invalid-illegal-text:#f0f6fc;--color-prettylights-syntax-invalid-illegal-bg:#8e1519;--color-prettylights-syntax-carriage-return-text:#f0f6fc;--color-prettylights-syntax-carriage-return-bg:#b62324;--color-prettylights-syntax-string-regexp:#7ee787;--color-prettylights-syntax-markup-list:#f2cc60;--color-prettylights-syntax-markup-heading:#1f6feb;--color-prettylights-syntax-markup-italic:#c9d1d9;--color-prettylights-syntax-markup-bold:#c9d1d9;--color-prettylights-syntax-markup-deleted-text:#ffdcd7;--color-prettylights-syntax-markup-deleted-bg:#67060c;--color-prettylights-syntax-markup-inserted-text:#aff5b4;--color-prettylights-syntax-markup-inserted-bg:#033a16;--color-prettylights-syntax-markup-changed-text:#ffdfb6;--color-prettylights-syntax-markup-changed-bg:#5a1e02;--color-prettylights-syntax-markup-ignored-text:#c9d1d9;--color-prettylights-syntax-markup-ignored-bg:#1158c7;--color-prettylights-syntax-meta-diff-range:#d2a8ff;--color-prettylights-syntax-brackethighlighter-angle:#8b949e;--color-prettylights-syntax-sublimelinter-gutter-mark:#484f58;--color-prettylights-syntax-constant-other-reference-link:#a5d6ff;--color-fg-default:#c9d1d9;--color-fg-muted:#8b949e;--color-fg-subtle:#6e7681;--color-canvas-default:#0d1117;--color-canvas-subtle:#161b22;--color-border-default:#30363d;--color-border-muted:#21262d;--color-neutral-muted:hsla(215,8%,47%,.4);--color-accent-fg:#58a6ff;--color-accent-emphasis:#1f6feb;--color-attention-subtle:rgba(187,128,9,.15);--color-danger-fg:#f85149;color-scheme:dark}div#p>svg>foreignObject>section{-ms-text-size-adjust:100%;-webkit-text-size-adjust:100%;word-wrap:break-word;background-color:var(--color-canvas-default);color:var(--color-fg-default);font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Noto Sans,Helvetica,Arial,sans-serif,Apple Color Emoji,Segoe UI Emoji;font-size:16px;line-height:1.5;margin:0}div#p>svg>foreignObject>section{--marpit-root-font-size:16px}div#p>svg>foreignObject>section :is(h1,marp-h1):hover .anchor .octicon-link:before,div#p>svg>foreignObject>section :is(h2,marp-h2):hover .anchor .octicon-link:before,div#p>svg>foreignObject>section :is(h3,marp-h3):hover .anchor .octicon-link:before,div#p>svg>foreignObject>section :is(h4,marp-h4):hover .anchor .octicon-link:before,div#p>svg>foreignObject>section :is(h5,marp-h5):hover .anchor .octicon-link:before,div#p>svg>foreignObject>section :is(h6,marp-h6):hover .anchor .octicon-link:before{background-color:currentColor;content:" ";display:inline-block;height:16px;-webkit-mask-image:url('data:image/svg+xml;charset=utf-8,');mask-image:url('data:image/svg+xml;charset=utf-8,');width:16px}div#p>svg>foreignObject>section details,div#p>svg>foreignObject>section figcaption,div#p>svg>foreignObject>section figure{display:block}div#p>svg>foreignObject>section summary{display:list-item}div#p>svg>foreignObject>section [hidden]{display:none!important}div#p>svg>foreignObject>section a{background-color:transparent;color:var(--color-accent-fg);text-decoration:none}div#p>svg>foreignObject>section abbr[title]{border-bottom:none;-webkit-text-decoration:underline dotted;text-decoration:underline dotted}div#p>svg>foreignObject>section b,div#p>svg>foreignObject>section strong{font-weight:var(--base-text-weight-semibold,600)}div#p>svg>foreignObject>section dfn{font-style:italic}div#p>svg>foreignObject>section :is(h1,marp-h1){border-bottom:1px solid var(--color-border-muted);font-size:2em;font-weight:var(--base-text-weight-semibold,600);margin:.67em 0;padding-bottom:.3em}div#p>svg>foreignObject>section mark{background-color:var(--color-attention-subtle);color:var(--color-fg-default)}div#p>svg>foreignObject>section small{font-size:90%}div#p>svg>foreignObject>section sub,div#p>svg>foreignObject>section sup{font-size:75%;line-height:0;position:relative;vertical-align:baseline}div#p>svg>foreignObject>section sub{bottom:-.25em}div#p>svg>foreignObject>section sup{top:-.5em}div#p>svg>foreignObject>section img{background-color:var(--color-canvas-default);border-style:none;box-sizing:content-box;max-width:100%}div#p>svg>foreignObject>section :is(pre,marp-pre),div#p>svg>foreignObject>section code,div#p>svg>foreignObject>section kbd,div#p>svg>foreignObject>section samp{font-family:monospace;font-size:1em}div#p>svg>foreignObject>section figure{margin:1em 40px}div#p>svg>foreignObject>section hr{background:transparent;background-color:var(--color-border-default);border:0;box-sizing:content-box;height:.25em;margin:24px 0;overflow:hidden;padding:0}div#p>svg>foreignObject>section input{font:inherit;font-family:inherit;font-size:inherit;line-height:inherit;margin:0;overflow:visible}div#p>svg>foreignObject>section [type=button],div#p>svg>foreignObject>section [type=reset],div#p>svg>foreignObject>section [type=submit]{-webkit-appearance:button}div#p>svg>foreignObject>section [type=checkbox],div#p>svg>foreignObject>section [type=radio]{box-sizing:border-box;padding:0}div#p>svg>foreignObject>section [type=number]::-webkit-inner-spin-button,div#p>svg>foreignObject>section [type=number]::-webkit-outer-spin-button{height:auto}div#p>svg>foreignObject>section [type=search]::-webkit-search-cancel-button,div#p>svg>foreignObject>section [type=search]::-webkit-search-decoration{-webkit-appearance:none}div#p>svg>foreignObject>section ::-webkit-input-placeholder{color:inherit;opacity:.54}div#p>svg>foreignObject>section ::-webkit-file-upload-button{-webkit-appearance:button;font:inherit}div#p>svg>foreignObject>section a:hover{text-decoration:underline}div#p>svg>foreignObject>section ::-moz-placeholder{color:var(--color-fg-subtle);opacity:1}div#p>svg>foreignObject>section ::placeholder{color:var(--color-fg-subtle);opacity:1}div#p>svg>foreignObject>section hr:after,div#p>svg>foreignObject>section hr:before{content:"";display:table}div#p>svg>foreignObject>section hr:after{clear:both}div#p>svg>foreignObject>section table{border-collapse:collapse;border-spacing:0;display:block;max-width:100%;overflow:auto;width:-moz-max-content;width:max-content}div#p>svg>foreignObject>section td,div#p>svg>foreignObject>section th{padding:0}div#p>svg>foreignObject>section details summary{cursor:pointer}div#p>svg>foreignObject>section details:not([open])>:not(summary){display:none!important}div#p>svg>foreignObject>section [role=button]:focus,div#p>svg>foreignObject>section a:focus,div#p>svg>foreignObject>section input[type=checkbox]:focus,div#p>svg>foreignObject>section input[type=radio]:focus{box-shadow:none;outline:2px solid var(--color-accent-fg);outline-offset:-2px}div#p>svg>foreignObject>section [role=button]:focus:not(:focus-visible),div#p>svg>foreignObject>section a:focus:not(:focus-visible),div#p>svg>foreignObject>section input[type=checkbox]:focus:not(:focus-visible),div#p>svg>foreignObject>section input[type=radio]:focus:not(:focus-visible){outline:1px solid transparent}div#p>svg>foreignObject>section [role=button]:focus-visible,div#p>svg>foreignObject>section a:focus-visible,div#p>svg>foreignObject>section input[type=checkbox]:focus-visible,div#p>svg>foreignObject>section input[type=radio]:focus-visible{box-shadow:none;outline:2px solid var(--color-accent-fg);outline-offset:-2px}div#p>svg>foreignObject>section a:not([class]):focus,div#p>svg>foreignObject>section a:not([class]):focus-visible,div#p>svg>foreignObject>section input[type=checkbox]:focus,div#p>svg>foreignObject>section input[type=checkbox]:focus-visible,div#p>svg>foreignObject>section input[type=radio]:focus,div#p>svg>foreignObject>section input[type=radio]:focus-visible{outline-offset:0}div#p>svg>foreignObject>section kbd{background-color:var(--color-canvas-subtle);border-bottom-color:var(--color-neutral-muted);border:1px solid var(--color-neutral-muted);border-radius:6px;box-shadow:inset 0 -1px 0 var(--color-neutral-muted);color:var(--color-fg-default);display:inline-block;font:11px ui-monospace,SFMono-Regular,SF Mono,Menlo,Consolas,Liberation Mono,monospace;line-height:10px;padding:3px 5px;vertical-align:middle}div#p>svg>foreignObject>section :is(h1,marp-h1),div#p>svg>foreignObject>section :is(h2,marp-h2),div#p>svg>foreignObject>section :is(h3,marp-h3),div#p>svg>foreignObject>section :is(h4,marp-h4),div#p>svg>foreignObject>section :is(h5,marp-h5),div#p>svg>foreignObject>section :is(h6,marp-h6){font-weight:var(--base-text-weight-semibold,600);line-height:1.25;margin-bottom:16px;margin-top:24px}div#p>svg>foreignObject>section :is(h2,marp-h2){border-bottom:1px solid var(--color-border-muted);font-size:1.5em;padding-bottom:.3em}div#p>svg>foreignObject>section :is(h2,marp-h2),div#p>svg>foreignObject>section :is(h3,marp-h3){font-weight:var(--base-text-weight-semibold,600)}div#p>svg>foreignObject>section :is(h3,marp-h3){font-size:1.25em}div#p>svg>foreignObject>section :is(h4,marp-h4){font-size:1em}div#p>svg>foreignObject>section :is(h4,marp-h4),div#p>svg>foreignObject>section :is(h5,marp-h5){font-weight:var(--base-text-weight-semibold,600)}div#p>svg>foreignObject>section :is(h5,marp-h5){font-size:.875em}div#p>svg>foreignObject>section :is(h6,marp-h6){color:var(--color-fg-muted);font-size:.85em;font-weight:var(--base-text-weight-semibold,600)}div#p>svg>foreignObject>section p{margin-bottom:10px;margin-top:0}div#p>svg>foreignObject>section blockquote{border-left:.25em solid var(--color-border-default);color:var(--color-fg-muted);margin:0;padding:0 1em}div#p>svg>foreignObject>section ol,div#p>svg>foreignObject>section ul{margin-bottom:0;margin-top:0;padding-left:2em}div#p>svg>foreignObject>section ol ol,div#p>svg>foreignObject>section ul ol{list-style-type:lower-roman}div#p>svg>foreignObject>section ol ol ol,div#p>svg>foreignObject>section ol ul ol,div#p>svg>foreignObject>section ul ol ol,div#p>svg>foreignObject>section ul ul ol{list-style-type:lower-alpha}div#p>svg>foreignObject>section dd{margin-left:0}div#p>svg>foreignObject>section :is(pre,marp-pre),div#p>svg>foreignObject>section code,div#p>svg>foreignObject>section samp,div#p>svg>foreignObject>section tt{font-family:ui-monospace,SFMono-Regular,SF Mono,Menlo,Consolas,Liberation Mono,monospace;font-size:12px}div#p>svg>foreignObject>section :is(pre,marp-pre){word-wrap:normal;margin-bottom:0;margin-top:0}div#p>svg>foreignObject>section .octicon{fill:currentColor;display:inline-block;overflow:visible!important;vertical-align:text-bottom}div#p>svg>foreignObject>section input::-webkit-inner-spin-button,div#p>svg>foreignObject>section input::-webkit-outer-spin-button{-webkit-appearance:none;appearance:none;margin:0}div#p>svg>foreignObject>section:after,div#p>svg>foreignObject>section:before{
/* content:""; */display:table}div#p>svg>foreignObject>section:after{clear:both}div#p>svg>foreignObject>section>:first-child{margin-top:0!important}div#p>svg>foreignObject>section>:last-child{margin-bottom:0!important}div#p>svg>foreignObject>section a:not([href]){color:inherit;text-decoration:none}div#p>svg>foreignObject>section .absent{color:var(--color-danger-fg)}div#p>svg>foreignObject>section .anchor{float:left;line-height:1;margin-left:-20px;padding-right:4px}div#p>svg>foreignObject>section .anchor:focus{outline:none}div#p>svg>foreignObject>section :is(pre,marp-pre),div#p>svg>foreignObject>section blockquote,div#p>svg>foreignObject>section details,div#p>svg>foreignObject>section dl,div#p>svg>foreignObject>section ol,div#p>svg>foreignObject>section p,div#p>svg>foreignObject>section table,div#p>svg>foreignObject>section ul{margin-bottom:16px;margin-top:0}div#p>svg>foreignObject>section blockquote>:first-child{margin-top:0}div#p>svg>foreignObject>section 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:is(h2,marp-h2):hover .anchor .octicon-link,div#p>svg>foreignObject>section :is(h3,marp-h3):hover .anchor .octicon-link,div#p>svg>foreignObject>section :is(h4,marp-h4):hover .anchor .octicon-link,div#p>svg>foreignObject>section :is(h5,marp-h5):hover .anchor .octicon-link,div#p>svg>foreignObject>section :is(h6,marp-h6):hover .anchor .octicon-link{visibility:visible}div#p>svg>foreignObject>section :is(h1,marp-h1) code,div#p>svg>foreignObject>section :is(h1,marp-h1) tt,div#p>svg>foreignObject>section :is(h2,marp-h2) code,div#p>svg>foreignObject>section :is(h2,marp-h2) tt,div#p>svg>foreignObject>section :is(h3,marp-h3) code,div#p>svg>foreignObject>section :is(h3,marp-h3) tt,div#p>svg>foreignObject>section :is(h4,marp-h4) code,div#p>svg>foreignObject>section :is(h4,marp-h4) tt,div#p>svg>foreignObject>section :is(h5,marp-h5) code,div#p>svg>foreignObject>section :is(h5,marp-h5) tt,div#p>svg>foreignObject>section :is(h6,marp-h6) code,div#p>svg>foreignObject>section :is(h6,marp-h6) tt{font-size:inherit;padding:0 .2em}div#p>svg>foreignObject>section summary :is(h1,marp-h1),div#p>svg>foreignObject>section summary :is(h2,marp-h2),div#p>svg>foreignObject>section summary :is(h3,marp-h3),div#p>svg>foreignObject>section summary :is(h4,marp-h4),div#p>svg>foreignObject>section summary :is(h5,marp-h5),div#p>svg>foreignObject>section summary :is(h6,marp-h6){display:inline-block}div#p>svg>foreignObject>section summary :is(h1,marp-h1) .anchor,div#p>svg>foreignObject>section summary :is(h2,marp-h2) .anchor,div#p>svg>foreignObject>section summary :is(h3,marp-h3) .anchor,div#p>svg>foreignObject>section summary :is(h4,marp-h4) .anchor,div#p>svg>foreignObject>section summary :is(h5,marp-h5) .anchor,div#p>svg>foreignObject>section summary :is(h6,marp-h6) .anchor{margin-left:-40px}div#p>svg>foreignObject>section summary :is(h1,marp-h1),div#p>svg>foreignObject>section summary :is(h2,marp-h2){border-bottom:0;padding-bottom:0}div#p>svg>foreignObject>section 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dl dd{margin-bottom:16px;padding:0 16px}div#p>svg>foreignObject>section table th{font-weight:var(--base-text-weight-semibold,600)}div#p>svg>foreignObject>section table td,div#p>svg>foreignObject>section table th{border:1px solid var(--color-border-default);padding:6px 13px}div#p>svg>foreignObject>section table tr{background-color:var(--color-canvas-default);border-top:1px solid var(--color-border-muted)}div#p>svg>foreignObject>section table tr:nth-child(2n){background-color:var(--color-canvas-subtle)}div#p>svg>foreignObject>section table img{background-color:transparent}div#p>svg>foreignObject>section img[align=right]{padding-left:20px}div#p>svg>foreignObject>section img[align=left]{padding-right:20px}div#p>svg>foreignObject>section .emoji{background-color:transparent;max-width:none;vertical-align:text-top}div#p>svg>foreignObject>section :is(span,marp-span).frame,div#p>svg>foreignObject>section :is(span,marp-span).frame>:is(span,marp-span){display:block;overflow:hidden}div#p>svg>foreignObject>section :is(span,marp-span).frame>:is(span,marp-span){border:1px solid var(--color-border-default);float:left;margin:13px 0 0;padding:7px;width:auto}div#p>svg>foreignObject>section :is(span,marp-span).frame :is(span,marp-span) img{display:block;float:left}div#p>svg>foreignObject>section :is(span,marp-span).frame :is(span,marp-span) :is(span,marp-span){clear:both;color:var(--color-fg-default);display:block;padding:5px 0 0}div#p>svg>foreignObject>section :is(span,marp-span).align-center{clear:both;display:block;overflow:hidden}div#p>svg>foreignObject>section :is(span,marp-span).align-center>:is(span,marp-span){display:block;margin:13px auto 0;overflow:hidden;text-align:center}div#p>svg>foreignObject>section :is(span,marp-span).align-center :is(span,marp-span) img{margin:0 auto;text-align:center}div#p>svg>foreignObject>section 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.4em;white-space:break-spaces}div#p>svg>foreignObject>section code br,div#p>svg>foreignObject>section tt br{display:none}div#p>svg>foreignObject>section del code{text-decoration:inherit}div#p>svg>foreignObject>section samp{font-size:85%}div#p>svg>foreignObject>section :is(pre,marp-pre) code{font-size:100%}div#p>svg>foreignObject>section :is(pre,marp-pre)>code{background:transparent;border:0;margin:0;padding:0;white-space:pre;word-break:normal}div#p>svg>foreignObject>section .highlight{margin-bottom:16px}div#p>svg>foreignObject>section .highlight :is(pre,marp-pre){margin-bottom:0;word-break:normal}div#p>svg>foreignObject>section :is(pre,marp-pre){background-color:var(--color-canvas-subtle);border-radius:6px;font-size:85%;line-height:1.45;overflow:auto;padding:16px}div#p>svg>foreignObject>section :is(pre,marp-pre) code,div#p>svg>foreignObject>section :is(pre,marp-pre) 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nowrap;font-size:29px;height:720px;justify-content:center;padding:78.5px;width:1280px}div#p>svg>foreignObject>section{--marpit-root-font-size:29px}div#p>svg>foreignObject>section:where(.invert){--h1-color:#cee7ff;--header-footer-color:hsla(0,0%,60%,.75);--heading-strong-color:#7bf;--paginate-color:#999}div#p>svg>foreignObject>section>:last-child,div#p>svg>foreignObject>section[data-footer]>:nth-last-child(2){margin-bottom:0}div#p>svg>foreignObject>section>:first-child,div#p>svg>foreignObject>section>header:first-child+*{margin-top:0}div#p>svg>foreignObject>section:after{bottom:21px;color:var(--paginate-color);font-size:24px;padding:0;position:absolute;right:30px}div#p>svg>foreignObject>section:after{--marpit-root-font-size:24px}div#p>svg>foreignObject>section[data-color] :is(h1,marp-h1),div#p>svg>foreignObject>section[data-color] :is(h2,marp-h2),div#p>svg>foreignObject>section[data-color] :is(h3,marp-h3),div#p>svg>foreignObject>section[data-color] 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