https://davisrippon.com/tags/algorithms/ Recent content in Algorithms on Davis RipponHugo -- gohugo.ioen-gb Wed, 15 Jul 2026 08:24:08 +0000https://davisrippon.com/notes/aco/ant-colony-optimisation/Wed, 15 Jul 2026 08:24:08 +0000https://davisrippon.com/notes/aco/ant-colony-optimisation/<p>The following is a article adaptation of a research project I did on Ant Colony Optimisation.</p><video src="aco_pheromone.mp4" controls width="640" height="360" muted loop > Your browser does not support the video tag. </video> <h2>1. Introduction</h2><p>The Travelling Salesman Problem (TSP) is an NP-hard combinatorial optimisation problem aimed at finding the minimum-cost Hamiltonian circuit<sup id="loc-1" role="doc-noteref"><a href="#loc-11">1</a></sup> for some weighted graph.</p><p>TSP is ubiquitous across various domains and fields, such as network performance, package delivery routing, water resource management, and beyond <a id="loc-2" href="#loc-7" role="doc-biblioref">[1]</a>.</p>https://davisrippon.com/notes/motion-compensation/motion-compensation/Fri, 10 Jul 2026 13:57:13 +0000https://davisrippon.com/notes/motion-compensation/motion-compensation/<p>Why is it so “cheap” to stream video, bandwidth-wise? If we look at it naïvely, we may think a 1080p video @ 30fps with three colour channels should stream at a rate of vaguely something like:</p><div class="typst-background typst-equation" style="display: flex; justify-content: center;"><svg style="overflow: visible; width: 14.808333333em; height: 7.6538em; display: block" viewBox="0 0 162.891666667 84.1918" width="162.891666667pt" height="84.1918pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:h5="http://www.w3.org/1999/xhtml"><g transform="matrix(1 0 0 -1 11.613555556 7.634)"><use xlink:href="#g23FF2CB0A5B3999574DE734D483151BD" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 17.113555556 7.634)"><use xlink:href="#g5DF7FDD026DB928A9BECE5CB45FEF99F" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 22.613555556 7.634)"><use xlink:href="#g1CF215FEB9E0137630B939449D808E74" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 28.113555556 7.634)"><use xlink:href="#g5DF7FDD026DB928A9BECE5CB45FEF99F" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 105.240666667 7.634)"><use xlink:href="#g4CEF5B21420247A2167B0E1E74788A17" x="0" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g8081A8237C24C95555CB26B7002BAA27" x="7.491" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g64283A02AA4F1AAA5170B8A659D3972B" x="10.549" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g661B36513DCEC8B17F1DD8AE5C54E18F" x="16.357" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g2FC7C9A3CB1EC0A5B9AFF011E7A236B1" x="21.241" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g316D45BB6425B2B3622251A815E109FB" x="24.299" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g4CEA3A489A34D732CBC019A389D3202D" x="32.285" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g8081A8237C24C95555CB26B7002BAA27" x="43.593" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g1680D556E590D2896797EB422A195824" x="46.651" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g661B36513DCEC8B17F1DD8AE5C54E18F" x="52.767" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 0.611111111 22.66)"><use xlink:href="#g2F39271B45DAA385DCDAA0BAA9F6EC02" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 11.613555556 22.66)"><use xlink:href="#g23FF2CB0A5B3999574DE734D483151BD" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 17.113555556 22.66)"><use xlink:href="#g38D01286548D526A8BD5E8724FB2369F" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 22.613555556 22.66)"><use xlink:href="#g847DCE2A3EE7D23E3D551BDE0EE8A683" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 28.113555556 22.66)"><use xlink:href="#g5DF7FDD026DB928A9BECE5CB45FEF99F" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 111.048666667 22.66)"><use xlink:href="#g4CEF5B21420247A2167B0E1E74788A17" x="0" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g8081A8237C24C95555CB26B7002BAA27" x="7.491" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g64283A02AA4F1AAA5170B8A659D3972B" x="10.549" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g661B36513DCEC8B17F1DD8AE5C54E18F" x="16.357" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g2FC7C9A3CB1EC0A5B9AFF011E7A236B1" x="21.241" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g316D45BB6425B2B3622251A815E109FB" x="24.299" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g2AA829DA272447F8E36CC72959BB2A7D" x="32.285" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#gB29CE2C0E4ED383285A85CCC21F60B8F" x="40.227" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g2FC7C9A3CB1EC0A5B9AFF011E7A236B1" x="45.727" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g2FC7C9A3CB1EC0A5B9AFF011E7A236B1" x="48.785" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 0.611111111 37.807)"><use xlink:href="#g2F39271B45DAA385DCDAA0BAA9F6EC02" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 11.613555556 37.807)"><use xlink:href="#g93E2B88EAD8DFDF0BE4D6467DB923DB5" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 17.113555556 37.807)"><use xlink:href="#g5DF7FDD026DB928A9BECE5CB45FEF99F" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 71.283666667 37.807)"><use xlink:href="#gB9328168DA5776801E2258A7B2BC1D39" x="0" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g30A11840F6D1B58D63FF228F63DFF50C" x="7.183" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#gB29CE2C0E4ED383285A85CCC21F60B8F" x="11.495" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#gA5032F71C684E2A7C043DCB5A01B335E" x="16.995" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g661B36513DCEC8B17F1DD8AE5C54E18F" x="26.158" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g316D45BB6425B2B3622251A815E109FB" x="31.042" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#gBA5B8536F66C0740646C0BF4438FCF64" x="39.028" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g661B36513DCEC8B17F1DD8AE5C54E18F" x="45.144" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g30A11840F6D1B58D63FF228F63DFF50C" x="50.028" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g1C956833D193AE8B99EDE94C4196DD50" x="57.992" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g661B36513DCEC8B17F1DD8AE5C54E18F" x="64.108" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#gC88DEEEC0C223773BFB3C83D51935C1E" x="68.992" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g3BAF23AB431BDA7FCE4D7083470CFBD3" x="73.876" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#gA5D58AB94CE34C72AAD44A3326399386" x="79.376" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g1680D556E590D2896797EB422A195824" x="85.492" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 0.611111111 56.1968)"><use xlink:href="#g2F39271B45DAA385DCDAA0BAA9F6EC02" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 11.613555556 56.1968)"><use xlink:href="#g93E2B88EAD8DFDF0BE4D6467DB923DB5" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 83.886366667 56.1968)"><use xlink:href="#g187BD436981CC2EAEF948AB9C4BFF380" x="0" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g38769C07F854BCD5789DF96515296CAE" x="7.788" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#gE4D46F1D17F1B65EB6D4E3B2291CCF8F" x="13.596" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g661B36513DCEC8B17F1DD8AE5C54E18F" x="17.875" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g316D45BB6425B2B3622251A815E109FB" x="22.759" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#gBA5B8536F66C0740646C0BF4438FCF64" x="30.745" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g661B36513DCEC8B17F1DD8AE5C54E18F" x="36.861" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g30A11840F6D1B58D63FF228F63DFF50C" x="41.745" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g4CEF5B21420247A2167B0E1E74788A17" x="49.709" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g8081A8237C24C95555CB26B7002BAA27" x="57.2" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g64283A02AA4F1AAA5170B8A659D3972B" x="60.258" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g661B36513DCEC8B17F1DD8AE5C54E18F" x="66.066" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g2FC7C9A3CB1EC0A5B9AFF011E7A236B1" x="70.95" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 157.894366667 52.2038)"><use xlink:href="#gBFCC2410A697C41E2DD3187C83DA8F3" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><a transform="translate(157.894366667 47.091)" href="#loc-2" xlink:href="#loc-2"><rect width="4.3813" height="5.1128" fill="transparent" stroke="none"/></a><a transform="translate(157.894366667 47.091)" href="#loc-2" xlink:href="#loc-2"><rect width="4.3813" height="5.1128" fill="transparent" stroke="none"/></a><g transform="matrix(1 0 0 -1 11.613555556 68.5718)"><use xlink:href="#g6CA3708905D5D56BD06755CEABD69DE1" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 20.171555556 68.5718)"><use xlink:href="#g6CA3708905D5D56BD06755CEABD69DE1" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 28.729555556 68.5718)"><use xlink:href="#g6CA3708905D5D56BD06755CEABD69DE1" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 37.287555556 68.5718)"><use xlink:href="#g6CA3708905D5D56BD06755CEABD69DE1" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 45.845555556 68.5718)"><use xlink:href="#g6CA3708905D5D56BD06755CEABD69DE1" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 54.403555556 68.5718)"><use xlink:href="#g6CA3708905D5D56BD06755CEABD69DE1" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 68.753666667 68.5718)"><use xlink:href="#g6CA3708905D5D56BD06755CEABD69DE1" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 77.311666667 68.5718)"><use xlink:href="#g6CA3708905D5D56BD06755CEABD69DE1" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 85.869666667 68.5718)"><use xlink:href="#g6CA3708905D5D56BD06755CEABD69DE1" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 94.427666667 68.5718)"><use xlink:href="#g6CA3708905D5D56BD06755CEABD69DE1" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 102.985666667 68.5718)"><use xlink:href="#g6CA3708905D5D56BD06755CEABD69DE1" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 111.543666667 68.5718)"><use xlink:href="#g6CA3708905D5D56BD06755CEABD69DE1" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 120.101666667 68.5718)"><use xlink:href="#g6CA3708905D5D56BD06755CEABD69DE1" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 128.659666667 68.5718)"><use xlink:href="#g6CA3708905D5D56BD06755CEABD69DE1" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 137.217666667 68.5718)"><use xlink:href="#g6CA3708905D5D56BD06755CEABD69DE1" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 145.775666667 68.5718)"><use xlink:href="#g6CA3708905D5D56BD06755CEABD69DE1" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 154.333666667 68.5718)"><use xlink:href="#g6CA3708905D5D56BD06755CEABD69DE1" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 0 81.4418)"><use xlink:href="#g2389F7618E8CE27CC7151A1D8E5DEAD4" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 11.613555556 81.4418)"><use xlink:href="#g23FF2CB0A5B3999574DE734D483151BD" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 17.113555556 81.4418)"><use xlink:href="#g1CF215FEB9E0137630B939449D808E74" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 22.613555556 81.4418)"><use xlink:href="#gA754BD559092BEFA127826A2A25BC17" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 28.113555556 81.4418)"><use xlink:href="#gA754BD559092BEFA127826A2A25BC17" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 33.613555556 81.4418)"><use xlink:href="#g847DCE2A3EE7D23E3D551BDE0EE8A683" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 39.113555556 81.4418)"><use xlink:href="#gAE482DA578200FA3765B7A490E273D69" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 44.613555556 81.4418)"><use xlink:href="#g5DF7FDD026DB928A9BECE5CB45FEF99F" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 50.113555556 81.4418)"><use xlink:href="#g5DF7FDD026DB928A9BECE5CB45FEF99F" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 55.613555556 81.4418)"><use xlink:href="#g5DF7FDD026DB928A9BECE5CB45FEF99F" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 64.765555556 81.4418)"><use xlink:href="#g187BD436981CC2EAEF948AB9C4BFF380" x="0" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g38769C07F854BCD5789DF96515296CAE" x="7.788" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#gE4D46F1D17F1B65EB6D4E3B2291CCF8F" x="13.596" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g661B36513DCEC8B17F1DD8AE5C54E18F" x="17.875" y="0" fill="#000000" fill-rule="nonzero"/><use xlink:href="#g316D45BB6425B2B3622251A815E109FB" x="22.759" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 94.914111111 81.4418)"><use xlink:href="#gC5C01FB63F6F7D49E573045327DC96B7" x="0" y="0" fill="#000000" fill-rule="nonzero"/></g><g transform="matrix(1 0 0 -1 106.472666667 81.4418)"><use xlink:href="#g23FF2CB0A5B3999574DE734D483151BD" x="0" y="0" fill="#ff4136" fill-rule="nonzero"/><use xlink:href="#g1CF215FEB9E0137630B939449D808E74" x="5.5" y="0" fill="#ff4136" fill-rule="nonzero"/><use xlink:href="#gA754BD559092BEFA127826A2A25BC17" x="11" y="0" fill="#ff4136" fill-rule="nonzero"/><use xlink:href="#g8AF8F2BC2B33BC6B311ED96E17728B80" x="16.5" y="0" fill="#ff4136" fill-rule="nonzero"/><use xlink:href="#gA754BD559092BEFA127826A2A25BC17" x="19.558" y="0" fill="#ff4136" fill-rule="nonzero"/><use xlink:href="#g514F63E06C54F7DA3F6B7A982E811DDF" x="28.71" y="0" fill="#ff4136" fill-rule="nonzero"/><use xlink:href="#g187BD436981CC2EAEF948AB9C4BFF380" x="38.797" y="0" fill="#ff4136" fill-rule="nonzero"/><use xlink:href="#gC8E5BAA56C45C80D9D0C0359A164D41D" x="46.585" y="0" fill="#ff4136" fill-rule="nonzero"/><use xlink:href="#g316D45BB6425B2B3622251A815E109FB" x="52.085" y="0" fill="#ff4136" fill-rule="nonzero"/></g><path fill="none" stroke="#ff4136" stroke-width="0.44" stroke-linecap="butt" stroke-linejoin="miter" stroke-miterlimit="4" transform="translate(106.472666667 83.8618)" d="M 0 0h 46.324866244"/><path fill="none" stroke="#ff4136" stroke-width="0.44" stroke-linecap="butt" stroke-linejoin="miter" stroke-miterlimit="4" transform="translate(155.114990196 83.8618)" d="M 0 0h 7.776676471"/><g id="loc-1" transform="translate(157.894366667 52.2038)"/><defs><symbol id="g23FF2CB0A5B3999574DE734D483151BD" overflow="visible"><path d="M 0 0m 2.959 7.326c -0.451 -0.462 -1.111 -0.693 -1.98 -0.693v -0.429c 0.572 0 1.045 0.088 1.408 0.264v -5.566c 0 -0.198 -0.044 -0.33 -0.143 -0.385c -0.099 -0.055 -0.374 -0.088 -0.814 -0.088h -0.385v -0.429c 0.275 0.022 0.869 0.033 1.782 0.033c 0.913 0 1.507 -0.011 1.782 -0.033v 0.429h -0.385c -0.451 0 -0.726 0.033 -0.814 0.088c -0.088 0.055 -0.143 0.187 -0.143 0.385v 6.094c 0 0.264 -0.022 0.33 -0.308 0.33Z "/></symbol><symbol id="g5DF7FDD026DB928A9BECE5CB45FEF99F" overflow="visible"><path d="M 0 0m 2.739 -0.242c 1.551 0 2.321 1.254 2.321 3.762c 0 1.683 -0.352 2.805 -1.045 3.355c -0.385 0.297 -0.814 0.451 -1.265 0.451c -1.551 0 -2.321 -1.265 -2.321 -3.806c 0 -2.024 0.539 -3.762 2.31 -3.762Z m 1.232 6.006c 0.077 -0.385 0.11 -1.089 0.11 -2.112c 0 -1.012 -0.044 -1.76 -0.121 -2.244c -0.143 -0.88 -0.55 -1.32 -1.221 -1.32c -0.253 0 -0.506 0.099 -0.737 0.286c -0.297 0.253 -0.473 0.77 -0.55 1.562c -0.033 0.275 -0.044 0.847 -0.044 1.716c 0 0.957 0.033 1.628 0.088 1.991c 0.099 0.605 0.297 0.99 0.605 1.155c 0.242 0.132 0.451 0.198 0.638 0.198c 0.715 0 1.111 -0.583 1.232 -1.232Z "/></symbol><symbol id="g1CF215FEB9E0137630B939449D808E74" overflow="visible"><path d="M 0 0m 2.75 7.326c -0.539 0 -1.012 -0.176 -1.408 -0.528c -0.396 -0.352 -0.594 -0.792 -0.594 -1.331c 0 -0.451 0.165 -0.858 0.495 -1.221c 0.077 -0.088 0.319 -0.275 0.726 -0.561c -1.001 -0.517 -1.507 -1.188 -1.507 -2.002c 0 -0.583 0.242 -1.056 0.715 -1.419c 0.44 -0.341 0.957 -0.506 1.562 -0.506c 0.616 0 1.155 0.198 1.606 0.594c 0.451 0.396 0.682 0.913 0.682 1.518c 0 0.506 -0.176 0.957 -0.539 1.364c -0.132 0.143 -0.473 0.396 -1.012 0.737c 0.847 0.451 1.265 1.023 1.265 1.694c 0 1.001 -0.957 1.661 -1.991 1.661Z m 1.419 -1.661c 0 -0.572 -0.341 -1.067 -1.023 -1.474l -1.309 0.858c -0.341 0.22 -0.517 0.506 -0.517 0.847c 0 0.66 0.715 1.067 1.419 1.067c 0.759 0 1.43 -0.539 1.43 -1.298Z m -1.419 -5.511c -0.902 0 -1.661 0.649 -1.661 1.529c 0 0.737 0.407 1.331 1.221 1.782l 1.298 -0.825c 0.528 -0.341 0.792 -0.726 0.792 -1.166c 0 -0.792 -0.825 -1.32 -1.65 -1.32Z "/></symbol><symbol id="g4CEF5B21420247A2167B0E1E74788A17" overflow="visible"><path d="M 0 0m 4.345 3.432c 0.627 0 1.188 0.176 1.683 0.528c 0.561 0.396 0.836 0.891 0.836 1.485c 0 0.627 -0.286 1.144 -0.858 1.54c -0.506 0.352 -1.089 0.528 -1.749 0.528h -3.872v -0.429h 0.308c 0.385 0 0.616 -0.033 0.693 -0.088c 0.077 -0.055 0.121 -0.176 0.121 -0.374v -5.731c 0 -0.198 -0.044 -0.33 -0.121 -0.385c -0.077 -0.055 -0.308 -0.077 -0.693 -0.077h -0.308v -0.429c 0.286 0.022 0.836 0.033 1.639 0.033c 0.814 0 1.364 -0.011 1.65 -0.033v 0.429h -0.308c -0.385 0 -0.616 0.022 -0.693 0.077c -0.077 0.055 -0.121 0.187 -0.121 0.385v 2.541Z m -1.331 3.652h 0.968c 0.319 0 0.594 -0.044 0.825 -0.121c 0.627 -0.231 0.847 -0.693 0.847 -1.518c 0 -0.308 -0.033 -0.572 -0.11 -0.792c -0.187 -0.55 -0.781 -0.847 -1.562 -0.847h -1.463v 2.893c 0 0.396 0.066 0.385 0.495 0.385Z "/></symbol><symbol id="g8081A8237C24C95555CB26B7002BAA27" overflow="visible"><path d="M 0 0m 2.134 6.611c 0 0.33 -0.275 0.616 -0.605 0.616c -0.33 0 -0.616 -0.286 -0.616 -0.616c 0 -0.33 0.275 -0.627 0.605 -0.627c 0.341 0 0.616 0.286 0.616 0.627Z m -0.561 -6.578l 1.144 -0.033v 0.429c -0.363 0 -0.583 0.022 -0.649 0.066c -0.066 0.044 -0.088 0.165 -0.088 0.363v 4.037l -1.573 -0.132v -0.418c 0.363 0 0.594 -0.033 0.671 -0.088c 0.077 -0.055 0.11 -0.209 0.11 -0.462v -2.926c 0 -0.209 -0.033 -0.341 -0.11 -0.385c -0.077 -0.044 -0.319 -0.055 -0.715 -0.055v -0.429Z "/></symbol><symbol id="g64283A02AA4F1AAA5170B8A659D3972B" overflow="visible"><path d="M 0 0m 4.598 0.033c 0.253 0.011 0.616 0 1.078 -0.033v 0.418c -0.583 0 -0.803 0.011 -1.034 0.319l -1.43 1.848c 0.473 0.583 0.792 0.979 0.968 1.188c 0.308 0.352 0.737 0.539 1.298 0.55v 0.418c -0.308 -0.022 -0.616 -0.033 -0.924 -0.033c -0.407 0 -0.77 0.011 -1.089 0.033v -0.418c 0.209 -0.022 0.319 -0.121 0.319 -0.297c 0 -0.099 -0.055 -0.22 -0.154 -0.352l -0.638 -0.792l -0.814 1.045c -0.055 0.077 -0.088 0.132 -0.088 0.165c 0 0.143 0.132 0.22 0.385 0.231v 0.418l -1.221 -0.033c -0.286 -0.011 -0.638 0 -1.067 0.033v -0.418c 0.396 0 0.649 -0.033 0.759 -0.088c 0.11 -0.055 0.286 -0.242 0.528 -0.561l 1.045 -1.364c -0.539 -0.693 -0.869 -1.111 -0.99 -1.254c -0.352 -0.429 -0.814 -0.638 -1.397 -0.638v -0.418c 0.407 0.033 0.715 0.044 0.946 0.033l 1.067 -0.033v 0.418c -0.209 0.033 -0.308 0.132 -0.308 0.297c 0 0.044 0.011 0.099 0.033 0.154c 0.066 0.143 0.363 0.517 0.891 1.144l 0.792 -1.034c 0.121 -0.154 0.187 -0.264 0.22 -0.33c 0 -0.143 -0.132 -0.22 -0.396 -0.231v -0.418Z "/></symbol><symbol id="g661B36513DCEC8B17F1DD8AE5C54E18F" overflow="visible"><path d="M 0 0m 4.565 2.761c 0 1.265 -0.737 2.167 -1.969 2.167c -0.66 0 -1.21 -0.253 -1.661 -0.77c -0.418 -0.484 -0.627 -1.067 -0.627 -1.738c 0 -0.693 0.231 -1.276 0.693 -1.782c 0.462 -0.506 1.034 -0.759 1.716 -0.759c 0.627 0 1.111 0.22 1.441 0.649c 0.275 0.363 0.407 0.627 0.407 0.803c 0 0.11 -0.066 0.165 -0.187 0.165c -0.088 0 -0.143 -0.055 -0.176 -0.176c -0.242 -0.726 -0.715 -1.089 -1.419 -1.089c -0.495 0 -0.88 0.231 -1.177 0.704c -0.209 0.341 -0.308 0.858 -0.319 1.562h 2.97c 0.242 0 0.308 0.022 0.308 0.264Z m -0.979 1.078c 0.121 -0.363 0.176 -0.715 0.176 -1.034h -2.464c 0.033 0.726 0.22 1.221 0.55 1.474c 0.275 0.22 0.517 0.33 0.748 0.33c 0.495 0 0.825 -0.253 0.99 -0.77Z "/></symbol><symbol id="g2FC7C9A3CB1EC0A5B9AFF011E7A236B1" overflow="visible"><path d="M 0 0m 1.584 0.033l 1.221 -0.033v 0.429c -0.396 0 -0.638 0.011 -0.715 0.055c -0.077 0.044 -0.11 0.176 -0.11 0.385v 6.765l -1.617 -0.121v -0.418c 0.385 0 0.627 -0.033 0.704 -0.099c 0.077 -0.066 0.121 -0.22 0.121 -0.473v -5.654c 0 -0.209 -0.033 -0.341 -0.11 -0.385c -0.077 -0.044 -0.319 -0.055 -0.715 -0.055v -0.429Z "/></symbol><symbol id="g316D45BB6425B2B3622251A815E109FB" overflow="visible"><path d="M 0 0m 3.96 1.43c 0 0.836 -0.572 1.364 -1.705 1.584c -0.517 0.099 -0.847 0.22 -1.023 0.341c -0.176 0.121 -0.264 0.297 -0.264 0.506c 0 0.517 0.385 0.77 1.155 0.77c 0.748 0 1.155 -0.418 1.21 -1.265c 0.011 -0.088 0.066 -0.132 0.176 -0.132c 0.121 0 0.187 0.099 0.187 0.297v 1.089c 0 0.209 -0.055 0.308 -0.165 0.308c -0.121 0 -0.286 -0.198 -0.396 -0.286c -0.275 0.187 -0.616 0.286 -1.012 0.286c -0.979 0 -1.76 -0.44 -1.76 -1.375c 0 -0.374 0.154 -0.693 0.473 -0.946c 0.385 -0.319 0.748 -0.385 1.441 -0.506c 0.715 -0.143 1.078 -0.462 1.078 -0.957c 0 -0.627 -0.385 -0.946 -1.166 -0.946c -0.759 0 -1.243 0.506 -1.452 1.507c -0.033 0.143 -0.088 0.22 -0.187 0.22c -0.121 0 -0.187 -0.11 -0.187 -0.319v -1.419c 0 -0.209 0.055 -0.308 0.165 -0.308c 0.033 0 0.088 0.033 0.176 0.11c 0.198 0.176 0.11 0.143 0.308 0.341c 0.319 -0.297 0.715 -0.451 1.177 -0.451c 1.045 0 1.771 0.539 1.771 1.551Z "/></symbol><symbol id="g4CEA3A489A34D732CBC019A389D3202D" overflow="visible"><path d="M 0 0m 10.01 6.391c 0.143 0.462 0.506 0.693 1.089 0.693v 0.429c -0.451 -0.033 -0.792 -0.044 -1.034 -0.033l -1.342 0.033v -0.418c 0.627 -0.011 0.946 -0.198 0.946 -0.539c 0 -0.033 -0.022 -0.099 -0.055 -0.209l -1.595 -4.895l -1.705 5.203c -0.011 0.066 -0.022 0.121 -0.022 0.154c 0 0.187 0.308 0.275 0.913 0.275v 0.429c -0.473 -0.033 -1.001 -0.044 -1.595 -0.033l -1.375 0.033v -0.429c 0.374 0 0.627 -0.022 0.737 -0.055c 0.11 -0.033 0.187 -0.132 0.242 -0.297l 0.242 -0.748l -1.474 -4.532l -1.716 5.225c -0.011 0.044 -0.022 0.088 -0.022 0.132c 0 0.187 0.308 0.275 0.924 0.275v 0.429c -0.473 -0.033 -1.001 -0.044 -1.595 -0.033l -1.375 0.033v -0.429c 0.429 0 0.682 -0.022 0.77 -0.066c 0.088 -0.044 0.165 -0.154 0.22 -0.352l 2.189 -6.666c 0.055 -0.165 0.132 -0.242 0.242 -0.242c 0.066 0 0.11 0.011 0.143 0.033c 0.077 0.088 0.11 0.165 0.121 0.22l 1.76 5.39l 1.771 -5.401c 0.055 -0.165 0.132 -0.242 0.253 -0.242c 0.055 0 0.11 0.011 0.143 0.033c 0.066 0.088 0.099 0.165 0.11 0.22Z "/></symbol><symbol id="g1680D556E590D2896797EB422A195824" overflow="visible"><path d="M 0 0m 4.114 -0.121l 1.683 0.121v 0.418c -0.396 0 -0.627 0.022 -0.715 0.088c -0.088 0.066 -0.132 0.231 -0.132 0.484v 6.644l -1.639 -0.121v -0.418c 0.385 0 0.627 -0.033 0.715 -0.099c 0.088 -0.066 0.121 -0.22 0.121 -0.473v -2.233c -0.352 0.407 -0.792 0.605 -1.32 0.605c -0.682 0 -1.265 -0.242 -1.738 -0.737c -0.473 -0.495 -0.715 -1.089 -0.715 -1.782c 0 -0.671 0.22 -1.254 0.671 -1.749c 0.451 -0.495 1.001 -0.748 1.672 -0.748c 0.561 0 1.034 0.209 1.397 0.638Z m -1.243 4.686c 0.473 0 0.858 -0.209 1.133 -0.627c 0.077 -0.121 0.11 -0.242 0.11 -0.385v -2.222c 0 -0.143 -0.033 -0.264 -0.11 -0.385c -0.308 -0.495 -0.726 -0.737 -1.243 -0.737c -0.451 0 -0.814 0.22 -1.1 0.671c -0.198 0.33 -0.297 0.825 -0.297 1.485c 0 1.199 0.407 2.2 1.507 2.2Z "/></symbol><symbol id="g2F39271B45DAA385DCDAA0BAA9F6EC02" overflow="visible"><path d="M 0 0m 6.93 0.352c 0 0.077 -0.022 0.132 -0.077 0.187l -2.211 2.211l 2.211 2.211c 0.055 0.055 0.077 0.11 0.077 0.187c 0 0.143 -0.11 0.253 -0.253 0.253c -0.077 0 -0.132 -0.022 -0.187 -0.077l -2.211 -2.211l -2.211 2.211c -0.055 0.055 -0.11 0.077 -0.187 0.077c -0.143 0 -0.253 -0.11 -0.253 -0.253c 0 -0.077 0.022 -0.132 0.077 -0.187l 2.211 -2.211l -2.211 -2.211c -0.055 -0.055 -0.077 -0.11 -0.077 -0.187c 0 -0.143 0.11 -0.253 0.253 -0.253c 0.077 0 0.132 0.022 0.187 0.077l 2.211 2.211l 2.211 -2.211c 0.055 -0.055 0.11 -0.077 0.187 -0.077c 0.143 0 0.253 0.11 0.253 0.253Z "/></symbol><symbol id="g38D01286548D526A8BD5E8724FB2369F" overflow="visible"><path d="M 0 0m 1.276 1.54c -0.363 0 -0.539 -0.187 -0.539 -0.561c 0 -0.825 0.671 -1.221 1.54 -1.221c 0.88 0 1.584 0.44 2.101 1.331c 0.429 0.737 0.649 1.584 0.649 2.53c 0 1.397 -0.253 2.387 -0.759 2.97c -0.429 0.495 -0.924 0.737 -1.485 0.737c -0.649 0 -1.188 -0.231 -1.617 -0.704c -0.473 -0.495 -0.704 -1.089 -0.704 -1.782c 0 -0.671 0.198 -1.243 0.594 -1.716c 0.418 -0.506 0.957 -0.759 1.606 -0.759c 0.572 0 1.012 0.308 1.309 0.924v -0.143c 0 -1.199 -0.209 -2.013 -0.638 -2.453c -0.341 -0.363 -0.704 -0.539 -1.067 -0.539c -0.44 0 -0.759 0.099 -0.968 0.308c 0.341 0 0.517 0.198 0.517 0.539c 0 0.308 -0.231 0.539 -0.539 0.539Z m 1.397 1.166c -0.429 0 -0.748 0.22 -0.968 0.66c -0.121 0.253 -0.187 0.748 -0.187 1.463c 0 0.715 0.077 1.199 0.22 1.474c 0.242 0.44 0.594 0.66 1.045 0.66c 0.451 0 0.781 -0.275 0.99 -0.825c 0.121 -0.297 0.198 -0.803 0.198 -1.518c 0 -0.957 -0.429 -1.914 -1.298 -1.914Z "/></symbol><symbol id="g847DCE2A3EE7D23E3D551BDE0EE8A683" overflow="visible"><path d="M 0 0m 2.607 7.326c -0.561 0 -1.034 -0.198 -1.441 -0.594c -0.407 -0.396 -0.616 -0.858 -0.616 -1.419c 0 -0.374 0.275 -0.649 0.616 -0.649c 0.33 0 0.605 0.286 0.605 0.616c 0 0.363 -0.264 0.616 -0.616 0.616c -0.033 0 -0.055 0 -0.077 -0.011c 0.209 0.539 0.693 1.012 1.386 1.012c 0.902 0 1.408 -0.781 1.408 -1.727c 0 -0.737 -0.374 -1.529 -1.122 -2.365l -2.068 -2.332c -0.143 -0.165 -0.132 -0.154 -0.132 -0.473h 4.081l 0.319 1.98h -0.363c -0.088 -0.561 -0.165 -0.88 -0.231 -0.979c -0.055 -0.055 -0.385 -0.077 -0.99 -0.077h -1.837l 1.067 1.045c 0.748 0.704 1.694 1.463 2.013 2.046c 0.22 0.385 0.33 0.77 0.33 1.155c 0 1.298 -1.012 2.156 -2.332 2.156Z "/></symbol><symbol id="g2AA829DA272447F8E36CC72959BB2A7D" overflow="visible"><path d="M 0 0m 7.183 4.917h 0.352l -0.209 2.53h -6.721l -0.209 -2.53h 0.352c 0.077 0.726 0.11 1.375 0.418 1.738c 0.286 0.33 0.825 0.363 1.496 0.363c 0.319 0 0.517 0 0.583 -0.011c 0.198 -0.044 0.198 -0.143 0.198 -0.374v -5.731c 0 -0.143 -0.011 -0.231 -0.044 -0.286c -0.066 -0.121 -0.418 -0.187 -1.056 -0.187h -0.484v -0.429c 0.33 0.022 1.034 0.033 2.101 0.033c 1.078 0 1.782 -0.011 2.112 -0.033v 0.429h -0.484c -0.638 0 -0.99 0.066 -1.056 0.187c -0.033 0.055 -0.044 0.143 -0.044 0.286v 5.731c 0 0.121 0.022 0.22 0.044 0.286c 0.022 0.066 0.264 0.099 0.737 0.099c 0.671 0 1.199 -0.033 1.485 -0.363c 0.308 -0.363 0.352 -1.012 0.429 -1.738Z "/></symbol><symbol id="gB29CE2C0E4ED383285A85CCC21F60B8F" overflow="visible"><path d="M 0 0m 5.313 1.001v 0.649h -0.352v -0.649c 0 -0.429 -0.121 -0.649 -0.352 -0.649c -0.22 0 -0.352 0.275 -0.352 0.495v 2.167c 0 0.385 -0.044 0.671 -0.121 0.869c -0.264 0.649 -1.023 1.045 -1.793 1.045c -0.847 0 -1.683 -0.473 -1.683 -1.265c 0 -0.363 0.187 -0.55 0.55 -0.55c 0.363 0 0.539 0.176 0.539 0.539c 0 0.319 -0.165 0.506 -0.506 0.539c 0.242 0.275 0.605 0.418 1.078 0.418c 0.682 0 1.1 -0.627 1.1 -1.342v -0.363c -0.858 -0.055 -1.507 -0.187 -1.958 -0.396c -0.737 -0.341 -1.111 -0.814 -1.111 -1.441c 0 -0.286 0.11 -0.528 0.319 -0.715c 0.352 -0.319 0.836 -0.473 1.452 -0.473c 0.649 0 1.111 0.275 1.397 0.836c 0.077 -0.418 0.385 -0.781 0.858 -0.781c 0.583 0 0.935 0.462 0.935 1.067Z m -3.113 -0.803c -0.506 0 -0.924 0.374 -0.924 0.88c 0 1.023 1.067 1.463 2.145 1.518v -1.045c 0 -0.737 -0.484 -1.353 -1.221 -1.353Z "/></symbol><symbol id="g93E2B88EAD8DFDF0BE4D6467DB923DB5" overflow="visible"><path d="M 0 0m 3.333 3.883c 0.726 0.275 1.408 0.968 1.408 1.903c 0 0.473 -0.231 0.858 -0.682 1.155c -0.396 0.253 -0.847 0.385 -1.353 0.385c -0.495 0 -0.924 -0.132 -1.309 -0.385c -0.429 -0.286 -0.649 -0.66 -0.649 -1.133c 0 -0.363 0.242 -0.616 0.594 -0.616c 0.352 0 0.594 0.253 0.594 0.605c 0 0.363 -0.209 0.561 -0.627 0.583c 0.286 0.385 0.737 0.583 1.353 0.583c 0.66 0 0.99 -0.385 0.99 -1.166c 0 -0.462 -0.088 -0.847 -0.253 -1.166c -0.297 -0.528 -0.704 -0.627 -1.386 -0.627c -0.132 -0.022 -0.198 -0.077 -0.198 -0.176c 0 -0.165 0.077 -0.165 0.297 -0.165h 0.473c 0.825 0 1.243 -0.583 1.243 -1.76c 0 -0.935 -0.341 -1.749 -1.177 -1.749c -0.715 0 -1.243 0.242 -1.562 0.726c 0.385 -0.011 0.671 0.275 0.671 0.649c 0 0.374 -0.275 0.649 -0.649 0.649c -0.429 0 -0.649 -0.22 -0.649 -0.671c 0 -0.539 0.242 -0.968 0.726 -1.309c 0.429 -0.297 0.935 -0.44 1.496 -0.44c 0.627 0 1.166 0.209 1.639 0.616c 0.473 0.407 0.704 0.913 0.704 1.529c 0 1.034 -0.814 1.749 -1.694 1.98Z "/></symbol><symbol id="gB9328168DA5776801E2258A7B2BC1D39" overflow="visible"><path d="M 0 0m 3.025 7.051h 1.298c 0.781 0 1.287 -0.165 1.54 -0.484c 0.352 -0.429 0.396 -0.836 0.495 -1.617h 0.363l -0.319 2.53h -6.039v -0.429h 0.308c 0.385 0 0.616 -0.022 0.693 -0.077c 0.077 -0.055 0.121 -0.187 0.121 -0.385v -5.698c 0 -0.198 -0.044 -0.33 -0.121 -0.385c -0.077 -0.055 -0.308 -0.077 -0.693 -0.077h -0.308v -0.429c 0.286 0.022 0.847 0.033 1.694 0.033c 0.957 0 1.573 -0.011 1.87 -0.033v 0.429h -0.407c -0.583 0 -0.902 0.055 -0.957 0.176c -0.022 0.055 -0.033 0.154 -0.033 0.297v 2.629h 0.891c 0.473 0 0.781 -0.088 0.913 -0.253c 0.132 -0.165 0.198 -0.495 0.198 -1.012h 0.352v 2.959h -0.352c 0 -0.506 -0.066 -0.847 -0.198 -1.012c -0.132 -0.165 -0.44 -0.253 -0.913 -0.253h -0.891v 2.706c 0 0.396 0.066 0.385 0.495 0.385Z "/></symbol><symbol id="g30A11840F6D1B58D63FF228F63DFF50C" overflow="visible"><path d="M 0 0m 4.004 4.158c 0 0.429 -0.407 0.704 -0.836 0.704c -0.561 0 -0.99 -0.33 -1.276 -1.001v 1.001l -1.584 -0.121v -0.418c 0.385 0 0.616 -0.033 0.704 -0.099c 0.088 -0.066 0.132 -0.209 0.132 -0.462v -2.893c 0 -0.209 -0.033 -0.341 -0.11 -0.385c -0.077 -0.044 -0.319 -0.066 -0.726 -0.066v -0.418l 1.265 0.033c 0.462 0.011 0.935 0 1.408 -0.033v 0.418h -0.264c -0.363 0 -0.594 0.033 -0.671 0.088c -0.077 0.055 -0.11 0.187 -0.11 0.385v 1.661c 0 0.473 0.088 0.902 0.253 1.265c 0.22 0.473 0.539 0.715 0.968 0.726c -0.11 -0.11 -0.165 -0.242 -0.165 -0.396c 0 -0.341 0.165 -0.506 0.506 -0.506c 0.297 0 0.506 0.231 0.506 0.517Z "/></symbol><symbol id="gA5032F71C684E2A7C043DCB5A01B335E" overflow="visible"><path d="M 0 0m 3.465 4.543c 0.506 0 0.759 -0.385 0.759 -1.166v -2.508c 0 -0.209 -0.033 -0.341 -0.11 -0.385c -0.077 -0.044 -0.33 -0.066 -0.737 -0.066v -0.418l 1.276 0.033l 1.265 -0.033v 0.418c -0.407 0 -0.649 0.022 -0.726 0.066c -0.077 0.044 -0.121 0.176 -0.121 0.385v 1.98c 0 0.88 0.572 1.694 1.419 1.694c 0.517 0 0.77 -0.385 0.77 -1.166v -2.508c 0 -0.209 -0.044 -0.341 -0.121 -0.385c -0.077 -0.044 -0.33 -0.066 -0.737 -0.066v -0.418l 1.276 0.033l 1.265 -0.033v 0.418c -0.352 0 -0.583 0.011 -0.693 0.044c -0.11 0.033 -0.154 0.11 -0.154 0.242v 2.057c 0 0.517 -0.022 0.88 -0.055 1.089c -0.11 0.671 -0.605 1.012 -1.474 1.012c -0.693 0 -1.21 -0.319 -1.562 -0.968c -0.154 0.649 -0.638 0.968 -1.463 0.968c -0.693 0 -1.221 -0.33 -1.573 -0.99v 0.99l -1.617 -0.121v -0.418c 0.396 0 0.638 -0.033 0.726 -0.099c 0.088 -0.066 0.121 -0.209 0.121 -0.462v -2.893c 0 -0.209 -0.044 -0.341 -0.121 -0.385c -0.077 -0.044 -0.319 -0.066 -0.726 -0.066v -0.418l 1.276 0.033l 1.265 -0.033v 0.418c -0.407 0 -0.66 0.022 -0.737 0.066c -0.077 0.044 -0.121 0.176 -0.121 0.385v 1.98c 0 0.891 0.583 1.694 1.43 1.694Z "/></symbol><symbol id="gBA5B8536F66C0740646C0BF4438FCF64" overflow="visible"><path d="M 0 0m 3.278 -0.143c 0.682 0 1.265 0.242 1.738 0.737c 0.473 0.495 0.715 1.078 0.715 1.771c 0 0.671 -0.22 1.243 -0.649 1.727c -0.451 0.517 -1.001 0.77 -1.661 0.77c -0.561 0 -1.045 -0.22 -1.463 -0.649v 0.649l -1.65 -0.121v -0.418c 0.407 0 0.649 -0.022 0.726 -0.077c 0.077 -0.055 0.121 -0.198 0.121 -0.429v -5.082c 0 -0.209 -0.044 -0.341 -0.121 -0.385c -0.077 -0.044 -0.319 -0.055 -0.726 -0.055v -0.429l 1.254 0.033l 1.265 -0.033v 0.429c -0.407 0 -0.638 0.011 -0.715 0.055c -0.077 0.044 -0.121 0.176 -0.121 0.385v 1.749c 0.242 -0.341 0.715 -0.627 1.287 -0.627Z m 0.066 4.642c 0.451 0 0.803 -0.253 1.078 -0.759c 0.209 -0.429 0.319 -0.88 0.319 -1.375c 0 -0.517 -0.121 -0.99 -0.363 -1.419c -0.286 -0.517 -0.671 -0.77 -1.144 -0.77c -0.462 0 -0.825 0.22 -1.1 0.649c -0.099 0.143 -0.143 0.286 -0.143 0.429v 2.409c 0.319 0.561 0.77 0.836 1.353 0.836Z "/></symbol><symbol id="g1C956833D193AE8B99EDE94C4196DD50" overflow="visible"><path d="M 0 0m 2.772 7.359c 1.177 0 1.87 -0.748 2.068 -2.233c 0.011 -0.11 0.077 -0.165 0.176 -0.165c 0.121 0 0.176 0.099 0.176 0.297v 2.189c 0 0.209 -0.055 0.308 -0.154 0.308c -0.066 0 -0.132 -0.055 -0.198 -0.165l -0.352 -0.572c -0.484 0.462 -0.924 0.737 -1.727 0.737c -1.199 0 -2.145 -0.968 -2.145 -2.156c 0 -1.012 0.66 -1.76 1.441 -2.035l 1.43 -0.352c 0.737 -0.187 1.221 -0.693 1.221 -1.518c 0 -0.825 -0.572 -1.507 -1.397 -1.507c -1.441 0 -2.288 0.814 -2.343 2.211c 0 0.099 -0.055 0.154 -0.165 0.154c -0.121 0 -0.187 -0.099 -0.187 -0.308v -2.178c 0 -0.209 0.055 -0.308 0.165 -0.308c 0.066 0 0.132 0.055 0.198 0.165l 0.352 0.572c 0.473 -0.495 1.133 -0.737 1.991 -0.737c 0.627 0 1.155 0.231 1.562 0.682c 0.407 0.451 0.605 0.99 0.605 1.628c 0 0.517 -0.154 0.99 -0.451 1.419c -0.297 0.429 -0.704 0.693 -1.199 0.814l -1.386 0.341c -0.583 0.132 -1.056 0.649 -1.056 1.342c 0 0.77 0.605 1.375 1.375 1.375Z "/></symbol><symbol id="gC88DEEEC0C223773BFB3C83D51935C1E" overflow="visible"><path d="M 0 0m 2.761 4.576c 0.462 0 0.814 -0.11 1.056 -0.33c -0.264 -0.033 -0.451 -0.275 -0.451 -0.528c 0 -0.363 0.176 -0.539 0.539 -0.539c 0.363 0 0.539 0.187 0.539 0.55c 0 0.781 -0.847 1.199 -1.694 1.199c -0.682 0 -1.243 -0.242 -1.694 -0.748c -0.451 -0.506 -0.682 -1.111 -0.682 -1.804c 0 -0.671 0.231 -1.265 0.682 -1.76c 0.451 -0.495 1.001 -0.737 1.672 -0.737c 0.55 0 0.979 0.154 1.287 0.473c 0.253 0.253 0.418 0.506 0.506 0.77c 0.033 0.099 0.044 0.165 0.044 0.209c 0 0.099 -0.066 0.143 -0.187 0.143c -0.088 0 -0.143 -0.044 -0.176 -0.132c -0.231 -0.737 -0.682 -1.111 -1.375 -1.111c -0.319 0 -0.627 0.143 -0.935 0.44c -0.363 0.341 -0.539 0.913 -0.539 1.727c 0 1.1 0.418 2.178 1.408 2.178Z "/></symbol><symbol id="g3BAF23AB431BDA7FCE4D7083470CFBD3" overflow="visible"><path d="M 0 0m 2.739 -0.121c 0.682 0 1.254 0.242 1.727 0.726c 0.473 0.484 0.715 1.067 0.715 1.749c 0 0.693 -0.231 1.298 -0.693 1.804c -0.462 0.506 -1.045 0.77 -1.738 0.77c -0.693 0 -1.265 -0.264 -1.738 -0.77c -0.473 -0.506 -0.704 -1.111 -0.704 -1.804c 0 -0.682 0.231 -1.265 0.704 -1.749c 0.473 -0.484 1.056 -0.726 1.727 -0.726Z m 0.011 0.352c -0.528 0 -0.924 0.231 -1.199 0.704c -0.176 0.308 -0.264 0.814 -0.264 1.507c 0 0.671 0.088 1.155 0.253 1.463c 0.264 0.473 0.66 0.704 1.199 0.704c 0.517 0 0.913 -0.231 1.188 -0.682c 0.187 -0.308 0.275 -0.803 0.275 -1.485c 0 -1.276 -0.374 -2.211 -1.452 -2.211Z "/></symbol><symbol id="gA5D58AB94CE34C72AAD44A3326399386" overflow="visible"><path d="M 0 0m 3.454 4.543c 0.495 0 0.748 -0.385 0.748 -1.166v -2.508c 0 -0.209 -0.033 -0.341 -0.11 -0.385c -0.077 -0.044 -0.319 -0.066 -0.726 -0.066v -0.418l 1.265 0.033l 1.254 -0.033v 0.418c -0.352 0 -0.583 0.011 -0.693 0.044c -0.11 0.033 -0.154 0.11 -0.154 0.242v 2.057c 0 0.517 -0.011 0.88 -0.044 1.089c -0.11 0.671 -0.605 1.012 -1.474 1.012c -0.693 0 -1.21 -0.33 -1.551 -0.99v 0.99l -1.617 -0.121v -0.418c 0.396 0 0.638 -0.033 0.726 -0.099c 0.088 -0.066 0.121 -0.209 0.121 -0.462v -2.893c 0 -0.209 -0.044 -0.341 -0.121 -0.385c -0.077 -0.044 -0.319 -0.066 -0.726 -0.066v -0.418l 1.265 0.033l 1.254 -0.033v 0.418c -0.407 0 -0.638 0.022 -0.715 0.066c -0.077 0.044 -0.121 0.176 -0.121 0.385v 1.98c 0 0.891 0.561 1.694 1.419 1.694Z "/></symbol><symbol id="g187BD436981CC2EAEF948AB9C4BFF380" overflow="visible"><path d="M 0 0m 5.258 3.938c 0.77 0.198 1.606 0.814 1.606 1.694c 0 0.583 -0.275 1.045 -0.825 1.408c -0.473 0.319 -1.023 0.473 -1.628 0.473h -4.015v -0.429h 0.308c 0.385 0 0.616 -0.033 0.693 -0.088c 0.077 -0.055 0.121 -0.176 0.121 -0.374v -5.731c 0 -0.198 -0.044 -0.33 -0.121 -0.385c -0.077 -0.055 -0.308 -0.077 -0.693 -0.077h -0.308v -0.429h 4.301c 0.627 0 1.188 0.176 1.672 0.528c 0.528 0.385 0.792 0.891 0.792 1.507c 0 1.023 -0.968 1.727 -1.903 1.903Z m 0.473 1.694c 0 -0.924 -0.77 -1.562 -1.694 -1.562h -1.529v 2.629c 0 0.396 0.055 0.385 0.484 0.385h 1.342c 0.814 0 1.397 -0.638 1.397 -1.452Z m 0.253 -3.586v -0.286c -0.022 -0.253 -0.165 -0.539 -0.44 -0.836c -0.286 -0.33 -0.682 -0.495 -1.199 -0.495h -1.353c -0.429 0 -0.484 -0.011 -0.484 0.385v 2.926h 1.991c 0.891 0 1.485 -0.77 1.485 -1.694Z "/></symbol><symbol id="g38769C07F854BCD5789DF96515296CAE" overflow="visible"><path d="M 0 0m 1.243 -2.255c 0.605 0 1.089 0.418 1.43 1.265l 1.903 4.642c 0.187 0.44 0.517 0.66 1.012 0.66v 0.429c -0.363 -0.033 -0.649 -0.044 -0.858 -0.033l -0.979 0.033v -0.418c 0.341 -0.011 0.506 -0.154 0.506 -0.429c 0 -0.066 -0.022 -0.143 -0.066 -0.242l -1.045 -2.574l -1.166 2.816c -0.033 0.088 -0.055 0.154 -0.066 0.187c 0 0.154 0.209 0.231 0.616 0.231v 0.429l -1.232 -0.033c -0.264 -0.011 -0.627 0 -1.089 0.033v -0.429c 0.583 0 0.726 0.022 0.88 -0.352l 1.617 -3.949l -0.264 -0.616c -0.297 -0.704 -0.506 -1.32 -1.199 -1.32c -0.154 0 -0.286 0.044 -0.407 0.121c 0.253 0.055 0.374 0.22 0.374 0.484c 0 0.33 -0.165 0.495 -0.506 0.495c -0.33 0 -0.495 -0.165 -0.495 -0.506c 0 -0.539 0.495 -0.924 1.034 -0.924Z "/></symbol><symbol id="gE4D46F1D17F1B65EB6D4E3B2291CCF8F" overflow="visible"><path d="M 0 0m 3.652 1.386v 0.66h -0.352v -0.638c 0 -0.55 -0.198 -1.166 -0.682 -1.166c -0.451 0 -0.671 0.374 -0.671 1.122v 2.981h 1.529v 0.418h -1.529v 2.002h -0.352c -0.011 -0.363 -0.044 -0.682 -0.121 -0.968c -0.187 -0.726 -0.616 -1.1 -1.265 -1.133v -0.319h 0.913v -2.959c 0 -0.649 0.198 -1.067 0.583 -1.276c 0.297 -0.154 0.572 -0.231 0.847 -0.231c 0.726 0 1.1 0.726 1.1 1.507Z "/></symbol><symbol id="gBFCC2410A697C41E2DD3187C83DA8F3" overflow="visible"><path d="M 0 0m 2.3331 5.1128c -0.3311 -0.3234 -0.8239 -0.4851 -1.4938 -0.4851v -0.3388c 0.4543 0 0.8162 0.0693 1.0934 0.2002v -3.8346c 0 -0.1001 -0.0077 -0.1617 -0.0308 -0.1925c -0.0385 -0.0847 -0.2695 -0.1309 -0.693 -0.1309h -0.3157v -0.3311l 1.3706 0.0308l 1.3783 -0.0308v 0.3311h -0.3157c -0.4235 0 -0.6545 0.0462 -0.7007 0.1309c -0.0154 0.0308 -0.0231 0.0924 -0.0231 0.1925v 4.2119c 0 0.2079 -0.0308 0.2464 -0.2695 0.2464Z "/></symbol><symbol id="g6CA3708905D5D56BD06755CEABD69DE1" overflow="visible"><path d="M 0 0m 7.678 2.97h -6.798c -0.176 0 -0.264 -0.077 -0.264 -0.22c 0 -0.143 0.088 -0.22 0.264 -0.22h 6.798c 0.176 0 0.264 0.077 0.264 0.22c 0 0.132 -0.132 0.22 -0.264 0.22Z "/></symbol><symbol id="g2389F7618E8CE27CC7151A1D8E5DEAD4" overflow="visible"><path d="M 0 0m 7.678 4.037h -6.798c -0.176 0 -0.264 -0.088 -0.264 -0.253c 0 -0.165 0.088 -0.253 0.264 -0.253h 6.798c 0.176 0 0.264 0.088 0.264 0.253c 0 0.132 -0.121 0.253 -0.264 0.253Z m 0 -2.068h -6.798c -0.176 0 -0.264 -0.088 -0.264 -0.253c 0 -0.165 0.088 -0.253 0.264 -0.253h 6.798c 0.176 0 0.264 0.088 0.264 0.253c 0 0.143 -0.121 0.253 -0.264 0.253Z "/></symbol><symbol id="gA754BD559092BEFA127826A2A25BC17" overflow="visible"><path d="M 0 0m 4.213 5.544c 0.363 0 0.539 0.187 0.539 0.561c 0 0.792 -0.594 1.221 -1.408 1.221c -0.913 0 -1.639 -0.429 -2.178 -1.298c -0.473 -0.748 -0.704 -1.595 -0.704 -2.552c 0 -1.397 0.253 -2.376 0.77 -2.959c 0.44 -0.506 0.946 -0.759 1.529 -0.759c 0.671 0 1.221 0.253 1.65 0.759c 0.407 0.484 0.616 1.067 0.616 1.738c 0 0.671 -0.198 1.243 -0.594 1.716c -0.418 0.506 -0.957 0.77 -1.606 0.77c -0.572 0 -1.012 -0.319 -1.309 -0.935v 0.066c 0 1.243 0.308 2.299 0.968 2.783c 0.286 0.209 0.583 0.308 0.88 0.308c 0.396 0 0.682 -0.11 0.869 -0.341c -0.374 0 -0.561 -0.209 -0.561 -0.539c 0 -0.308 0.231 -0.539 0.539 -0.539Z m -0.429 -1.804c 0.121 -0.253 0.187 -0.748 0.187 -1.474c 0 -0.715 -0.055 -1.188 -0.176 -1.43c -0.22 -0.451 -0.561 -0.682 -1.034 -0.682c -0.319 0 -0.561 0.11 -0.737 0.33c -0.143 0.176 -0.242 0.33 -0.286 0.451c -0.132 0.341 -0.198 0.858 -0.198 1.562c 0 0.308 0.044 0.605 0.121 0.891c 0.143 0.517 0.55 1.001 1.155 1.001c 0.429 0 0.759 -0.22 0.968 -0.649Z "/></symbol><symbol id="gAE482DA578200FA3765B7A490E273D69" overflow="visible"><path d="M 0 0m 3.883 7.447c -0.099 0 -0.187 -0.055 -0.253 -0.154l -3.322 -5.104v -0.396h 2.871v -0.902c 0 -0.198 -0.044 -0.33 -0.121 -0.385c -0.077 -0.055 -0.286 -0.077 -0.649 -0.077h -0.275v -0.429c 0.319 0.022 0.825 0.033 1.507 0.033c 0.682 0 1.188 -0.011 1.507 -0.033v 0.429h -0.275c -0.363 0 -0.572 0.022 -0.649 0.077c -0.077 0.055 -0.121 0.187 -0.121 0.385v 0.902h 1.078v 0.429h -1.078v 5.038c 0 0.11 -0.077 0.187 -0.22 0.187Z m -0.638 -1.364v -3.861h -2.508Z "/></symbol><symbol id="gC5C01FB63F6F7D49E573045327DC96B7" overflow="visible"><path d="M 0 0m 7.887 4.752v 0.022c 0 0.121 -0.055 0.176 -0.176 0.176c -0.077 0 -0.132 -0.044 -0.165 -0.121c -0.077 -0.385 -0.231 -0.682 -0.451 -0.869c -0.363 -0.319 -0.748 -0.473 -1.166 -0.473c -0.319 0 -0.649 0.121 -0.99 0.352c -0.627 0.451 -1.001 0.704 -1.122 0.781c -0.473 0.275 -0.891 0.407 -1.265 0.407c -1.177 0 -1.705 -0.825 -1.936 -1.903v -0.033c 0 -0.11 0.055 -0.165 0.176 -0.165c 0.099 0 0.154 0.044 0.176 0.132c 0.077 0.385 0.22 0.671 0.44 0.858c 0.363 0.319 0.748 0.473 1.177 0.473c 0.319 0 0.638 -0.121 0.979 -0.363c 0.627 -0.44 1.001 -0.693 1.122 -0.77c 0.473 -0.275 0.891 -0.407 1.265 -0.407c 1.177 0 1.705 0.825 1.936 1.903Z m 0 -2.376v 0.033c 0 0.11 -0.055 0.165 -0.176 0.165c -0.077 0 -0.132 -0.044 -0.165 -0.121c -0.077 -0.385 -0.231 -0.671 -0.451 -0.869c -0.363 -0.319 -0.748 -0.473 -1.166 -0.473c -0.319 0 -0.649 0.121 -0.99 0.363c -0.627 0.44 -1.001 0.693 -1.122 0.77c -0.473 0.275 -0.891 0.407 -1.265 0.407c -1.177 0 -1.705 -0.825 -1.936 -1.903v -0.022c 0 -0.121 0.055 -0.176 0.176 -0.176c 0.099 0 0.154 0.044 0.176 0.132c 0.077 0.385 0.22 0.671 0.44 0.858c 0.363 0.319 0.748 0.473 1.177 0.473c 0.319 0 0.638 -0.121 0.979 -0.352c 0.627 -0.451 1.001 -0.704 1.122 -0.781c 0.473 -0.275 0.891 -0.407 1.265 -0.407c 1.177 0 1.705 0.825 1.936 1.903Z "/></symbol><symbol id="g8AF8F2BC2B33BC6B311ED96E17728B80" overflow="visible"><path d="M 0 0m 2.112 0.583c 0 0.319 -0.264 0.583 -0.583 0.583c -0.319 0 -0.583 -0.264 -0.583 -0.583c 0 -0.319 0.264 -0.583 0.583 -0.583c 0.319 0 0.583 0.264 0.583 0.583Z "/></symbol><symbol id="g514F63E06C54F7DA3F6B7A982E811DDF" overflow="visible"><path d="M 0 0m 1.925 1.188v 5.654l 2.552 -6.578c 0.066 -0.176 0.154 -0.264 0.253 -0.264c 0.099 0 0.176 0.077 0.242 0.231l 2.607 6.699v -6.039c 0 -0.198 -0.044 -0.33 -0.121 -0.385c -0.077 -0.055 -0.308 -0.077 -0.693 -0.077h -0.308v -0.429c 0.297 0.022 0.836 0.033 1.606 0.033c 0.77 0 1.309 -0.011 1.606 -0.033v 0.429h -0.308c -0.385 0 -0.616 0.022 -0.693 0.077c -0.077 0.055 -0.121 0.187 -0.121 0.385v 5.731c 0 0.198 0.044 0.319 0.121 0.374c 0.077 0.055 0.308 0.088 0.693 0.088h 0.308v 0.429h -1.881c -0.297 0 -0.319 -0.011 -0.407 -0.231l -2.343 -6.017l -2.321 5.984c -0.099 0.22 -0.132 0.264 -0.429 0.264h -1.881v -0.429h 0.308c 0.385 0 0.616 -0.033 0.693 -0.088c 0.077 -0.055 0.121 -0.176 0.121 -0.374v -5.434c 0 -0.187 -0.044 -0.341 -0.132 -0.484c -0.121 -0.187 -0.451 -0.275 -0.99 -0.275v -0.429l 1.32 0.033l 1.32 -0.033v 0.429c -0.803 0 -1.122 0.132 -1.122 0.759Z "/></symbol><symbol id="gC8E5BAA56C45C80D9D0C0359A164D41D" overflow="visible"><path d="M 0 0m 4.884 7.898c 0.011 0.022 0.011 0.055 0.011 0.088c 0 0.176 -0.088 0.264 -0.264 0.264c -0.121 0 -0.198 -0.055 -0.242 -0.176l -3.762 -10.472c -0.011 -0.022 -0.011 -0.055 -0.011 -0.088c 0 -0.176 0.088 -0.264 0.264 -0.264c 0.121 0 0.198 0.055 0.242 0.176Z "/></symbol></defs></svg></div><p>In 2026, 186.6 Megabytes per second is still greater than most people’s internet speed altogether. Considering that we’ve been able to stream video <a href="https://en.wikipedia.org/wiki/Timeline_of_online_video">for decades</a>, well before internet speeds were in the order of Megabytes, this indicates some other tricks are taking place to allow video to happen.</p>