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1.442-.379.179-.2.308-.578.308-1.371 0-.765-.123-1.242-.37-1.554-.233-.296-.693-.587-1.713-.7Z"></path><path d="M6.25 9.037a.75.75 0 0 1 .75.75v1.501a.75.75 0 0 1-1.5 0V9.787a.75.75 0 0 1 .75-.75Zm4.25.75v1.501a.75.75 0 0 1-1.5 0V9.787a.75.75 0 0 1 1.5 0Z"></path></svg>GitHub Copilot</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Write better code with AI</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/features/ai/github-app" 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class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Direct agents from issue to merge</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/mcp" data-analytics-event="{&quot;action&quot;:&quot;mcp_registry&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;mcp_registry_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy 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0 0 0-2.94 2.08 2.08 0 0 0-2.94 0l-4.799 4.8A.75.75 0 0 1 .72 5.92Z"></path><path d="M7.52 3.12a.749.749 0 1 1 1.06 1.06L5.731 7.03A2.079 2.079 0 0 0 8.67 9.97l2.85-2.85a.749.749 0 1 1 1.06 1.06l-2.849 2.85A3.578 3.578 0 0 1 4.67 5.97Z"></path></svg>MCP Registry</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Integrate external tools</span></span></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_9knd_">DEVELOPER WORKFLOWS</span><ul 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Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-codespaces NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M0 11.25c0-.966.784-1.75 1.75-1.75h12.5c.966 0 1.75.784 1.75 1.75v3A1.75 1.75 0 0 1 14.25 16H1.75A1.75 1.75 0 0 1 0 14.25Zm2-9.5C2 .784 2.784 0 3.75 0h8.5C13.216 0 14 .784 14 1.75v5a1.75 1.75 0 0 1-1.75 1.75h-8.5A1.75 1.75 0 0 1 2 6.75Zm1.75-.25a.25.25 0 0 0-.25.25v5c0 .138.112.25.25.25h8.5a.25.25 0 0 0 .25-.25v-5a.25.25 0 0 0-.25-.25Zm-2 9.5a.25.25 0 0 0-.25.25v3c0 .138.112.25.25.25h12.5a.25.25 0 0 0 .25-.25v-3a.25.25 0 0 0-.25-.25Z"></path><path d="M7 12.75a.75.75 0 0 1 .75-.75h4.5a.75.75 0 0 1 0 1.5h-4.5a.75.75 0 0 1-.75-.75Zm-4 0a.75.75 0 0 1 .75-.75h.5a.75.75 0 0 1 0 1.5h-.5a.75.75 0 0 1-.75-.75Z"></path></svg>Codespaces</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Instant dev environments</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/features/issues" 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NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m11.28 3.22 4.25 4.25a.75.75 0 0 1 0 1.06l-4.25 4.25a.749.749 0 0 1-1.275-.326.749.749 0 0 1 .215-.734L13.94 8l-3.72-3.72a.749.749 0 0 1 .326-1.275.749.749 0 0 1 .734.215Zm-6.56 0a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042L2.06 8l3.72 3.72a.749.749 0 0 1-.326 1.275.749.749 0 0 1-.734-.215L.47 8.53a.75.75 0 0 1 0-1.06Z"></path></svg>Code Review</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Manage code changes</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/features/code-quality" data-analytics-event="{&quot;action&quot;:&quot;code_quality&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;code_quality_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-codescan-checkmark NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M10.28 6.28a.75.75 0 1 0-1.06-1.06L6.25 8.19l-.97-.97a.75.75 0 0 0-1.06 1.06l1.5 1.5a.75.75 0 0 0 1.06 0l3.5-3.5Z"></path><path d="M7.5 15a7.5 7.5 0 1 1 5.807-2.754l2.473 2.474a.749.749 0 0 1-.326 1.275.749.749 0 0 1-.734-.215l-2.474-2.473A7.472 7.472 0 0 1 7.5 15Zm0-13.5a6 6 0 1 0 4.094 10.386.748.748 0 0 1 .293-.292 6.002 6.002 0 0 0 1.117-6.486A6.002 6.002 0 0 0 7.5 1.5Z"></path></svg>Code Quality</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Enforce quality at merge</span></span></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_dknd_">APPLICATION SECURITY</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_dknd_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/security/advanced-security" data-analytics-event="{&quot;action&quot;:&quot;github_advanced_security&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;github_advanced_security_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ 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1-1.33 0c-2.447-1.042-4.049-2.357-5.032-3.855C1.32 10.182 1 8.566 1 7V3.48a1.75 1.75 0 0 1 1.217-1.667l5.25-1.68a1.748 1.748 0 0 1 1.066 0Zm-.61 1.429.001.001-5.25 1.68a.251.251 0 0 0-.174.237V7c0 1.36.275 2.666 1.057 3.859.784 1.194 2.121 2.342 4.366 3.298a.196.196 0 0 0 .154 0c2.245-.957 3.582-2.103 4.366-3.297C13.225 9.666 13.5 8.358 13.5 7V3.48a.25.25 0 0 0-.174-.238l-5.25-1.68a.25.25 0 0 0-.153 0ZM11.28 6.28l-3.5 3.5a.75.75 0 0 1-1.06 0l-1.5-1.5a.749.749 0 0 1 .326-1.275.749.749 0 0 1 .734.215l.97.97 2.97-2.97a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042Z"></path></svg>GitHub Advanced Security</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Find and fix vulnerabilities</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/security/advanced-security/code-security" data-analytics-event="{&quot;action&quot;:&quot;code_security&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;code_security_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS 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Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Secure your code as you build</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/security/advanced-security/secret-protection" data-analytics-event="{&quot;action&quot;:&quot;secret_protection&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;secret_protection_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-lock NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M4 4a4 4 0 0 1 8 0v2h.25c.966 0 1.75.784 1.75 1.75v5.5A1.75 1.75 0 0 1 12.25 15h-8.5A1.75 1.75 0 0 1 2 13.25v-5.5C2 6.784 2.784 6 3.75 6H4Zm8.25 3.5h-8.5a.25.25 0 0 0-.25.25v5.5c0 .138.112.25.25.25h8.5a.25.25 0 0 0 .25-.25v-5.5a.25.25 0 0 0-.25-.25ZM10.5 6V4a2.5 2.5 0 1 0-5 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NavGroup-module__title__Wzxz2" id="_R_5l7d_">BY COMPANY SIZE</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_5l7d_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/enterprise" data-analytics-event="{&quot;action&quot;:&quot;enterprises&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;enterprises_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Enterprises</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/team" data-analytics-event="{&quot;action&quot;:&quot;small_and_medium_teams&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;small_and_medium_teams_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Small and medium teams</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/enterprise/startups" data-analytics-event="{&quot;action&quot;:&quot;startups&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;startups_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Startups</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/industry/nonprofits" data-analytics-event="{&quot;action&quot;:&quot;nonprofits&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;nonprofits_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Nonprofits</span></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_9l7d_">BY USE CASE</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_9l7d_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/use-case/app-modernization" data-analytics-event="{&quot;action&quot;:&quot;app_modernization&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;app_modernization_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">App Modernization</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/use-case/devsecops" data-analytics-event="{&quot;action&quot;:&quot;devsecops&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;devsecops_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">DevSecOps</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/use-case/devops" data-analytics-event="{&quot;action&quot;:&quot;devops&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;devops_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">DevOps</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/use-case/ci-cd" data-analytics-event="{&quot;action&quot;:&quot;ci/cd&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;ci/cd_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">CI/CD</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--arrow-end___esdN8" href="https://github.com/solutions/use-case" data-analytics-event="{&quot;action&quot;:&quot;view_all_use_cases&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;view_all_use_cases_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">View all use cases</span><svg class="Primer_Brand__ExpandableArrow-module__ExpandableArrow___aaZs9 Primer_Brand__Link-module__Link-arrow___yd78i" width="16" height="16" viewBox="0 0 16 16" fill="none" aria-hidden="true" focusable="false"><path fill="currentColor" d="M7.28033 3.21967C6.98744 2.92678 6.51256 2.92678 6.21967 3.21967C5.92678 3.51256 5.92678 3.98744 6.21967 4.28033L7.28033 3.21967ZM11 8L11.5303 8.53033C11.8232 8.23744 11.8232 7.76256 11.5303 7.46967L11 8ZM6.21967 11.7197C5.92678 12.0126 5.92678 12.4874 6.21967 12.7803C6.51256 13.0732 6.98744 13.0732 7.28033 12.7803L6.21967 11.7197ZM6.21967 4.28033L10.4697 8.53033L11.5303 7.46967L7.28033 3.21967L6.21967 4.28033ZM10.4697 7.46967L6.21967 11.7197L7.28033 12.7803L11.5303 8.53033L10.4697 7.46967Z"></path><path class="Primer_Brand__ExpandableArrow-module__ExpandableArrow-stem___0K8Hz" stroke="currentColor" d="M1.75 8H11" stroke-width="1.5" stroke-linecap="round"></path></svg></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_dl7d_">BY INDUSTRY</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_dl7d_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/industry/healthcare" data-analytics-event="{&quot;action&quot;:&quot;healthcare&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;healthcare_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Healthcare</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/industry/financial-services" data-analytics-event="{&quot;action&quot;:&quot;financial_services&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;financial_services_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Financial services</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/industry/manufacturing" data-analytics-event="{&quot;action&quot;:&quot;manufacturing&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;manufacturing_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Manufacturing</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/industry/government" data-analytics-event="{&quot;action&quot;:&quot;government&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;government_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Government</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--arrow-end___esdN8" href="https://github.com/solutions/industry" data-analytics-event="{&quot;action&quot;:&quot;view_all_industries&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;view_all_industries_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">View all industries</span><svg class="Primer_Brand__ExpandableArrow-module__ExpandableArrow___aaZs9 Primer_Brand__Link-module__Link-arrow___yd78i" width="16" height="16" viewBox="0 0 16 16" fill="none" aria-hidden="true" focusable="false"><path fill="currentColor" d="M7.28033 3.21967C6.98744 2.92678 6.51256 2.92678 6.21967 3.21967C5.92678 3.51256 5.92678 3.98744 6.21967 4.28033L7.28033 3.21967ZM11 8L11.5303 8.53033C11.8232 8.23744 11.8232 7.76256 11.5303 7.46967L11 8ZM6.21967 11.7197C5.92678 12.0126 5.92678 12.4874 6.21967 12.7803C6.51256 13.0732 6.98744 13.0732 7.28033 12.7803L6.21967 11.7197ZM6.21967 4.28033L10.4697 8.53033L11.5303 7.46967L7.28033 3.21967L6.21967 4.28033ZM10.4697 7.46967L6.21967 11.7197L7.28033 12.7803L11.5303 8.53033L10.4697 7.46967Z"></path><path class="Primer_Brand__ExpandableArrow-module__ExpandableArrow-stem___0K8Hz" stroke="currentColor" d="M1.75 8H11" stroke-width="1.5" stroke-linecap="round"></path></svg></a></li></ul></div></li></ul><div class="NavDropdown-module__trailingLinkContainer__VgJGL"><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--arrow-end___esdN8" href="https://github.com/solutions" data-analytics-event="{&quot;action&quot;:&quot;view_all_solutions&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;view_all_solutions_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">View all solutions</span><svg class="Primer_Brand__ExpandableArrow-module__ExpandableArrow___aaZs9 Primer_Brand__Link-module__Link-arrow___yd78i" width="16" height="16" viewBox="0 0 16 16" fill="none" aria-hidden="true" focusable="false"><path fill="currentColor" d="M7.28033 3.21967C6.98744 2.92678 6.51256 2.92678 6.21967 3.21967C5.92678 3.51256 5.92678 3.98744 6.21967 4.28033L7.28033 3.21967ZM11 8L11.5303 8.53033C11.8232 8.23744 11.8232 7.76256 11.5303 7.46967L11 8ZM6.21967 11.7197C5.92678 12.0126 5.92678 12.4874 6.21967 12.7803C6.51256 13.0732 6.98744 13.0732 7.28033 12.7803L6.21967 11.7197ZM6.21967 4.28033L10.4697 8.53033L11.5303 7.46967L7.28033 3.21967L6.21967 4.28033ZM10.4697 7.46967L6.21967 11.7197L7.28033 12.7803L11.5303 8.53033L10.4697 7.46967Z"></path><path class="Primer_Brand__ExpandableArrow-module__ExpandableArrow-stem___0K8Hz" stroke="currentColor" d="M1.75 8H11" stroke-width="1.5" stroke-linecap="round"></path></svg></a></div></div></div></li><li><div class="NavDropdown-module__container__l2YeI"><button type="button" class="NavDropdown-module__button__PEHWX" aria-expanded="false" aria-controls="_R_1nd_">Resources<svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-triangle-right NavDropdown-module__buttonIcon__Tkl8_" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m6.427 4.427 3.396 3.396a.25.25 0 0 1 0 .354l-3.396 3.396A.25.25 0 0 1 6 11.396V4.604a.25.25 0 0 1 .427-.177Z"></path></svg></button><div id="_R_1nd_" class="NavDropdown-module__dropdown__xm1jd"><ul class="NavDropdown-module__list__zuCgG"><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_5lnd_">EXPLORE BY TOPIC</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_5lnd_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/resources/articles?topic=ai" data-analytics-event="{&quot;action&quot;:&quot;ai&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;ai_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">AI</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/resources/articles?topic=software-development" data-analytics-event="{&quot;action&quot;:&quot;software_development&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;software_development_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Software Development</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/resources/articles?topic=devops" data-analytics-event="{&quot;action&quot;:&quot;devops&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;devops_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">DevOps</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/resources/articles?topic=security" data-analytics-event="{&quot;action&quot;:&quot;security&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;security_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Security</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--arrow-end___esdN8" 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class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Collections</span></a></li></ul></div></li></ul></div></div></li><li><div class="NavDropdown-module__container__l2YeI"><button type="button" class="NavDropdown-module__button__PEHWX" aria-expanded="false" aria-controls="_R_2nd_">Enterprise<svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-triangle-right NavDropdown-module__buttonIcon__Tkl8_" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m6.427 4.427 3.396 3.396a.25.25 0 0 1 0 .354l-3.396 3.396A.25.25 0 0 1 6 11.396V4.604a.25.25 0 0 1 .427-.177Z"></path></svg></button><div id="_R_2nd_" 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1.75 0 0 1-1.756 0L2.119 5.456a1.251 1.251 0 0 1 0-2.162ZM8.125 1.69a.248.248 0 0 0-.25 0l-4.63 2.685 4.63 2.685a.248.248 0 0 0 .25 0l4.63-2.685ZM1.601 7.789a.75.75 0 0 1 1.025-.273l5.249 3.044a.248.248 0 0 0 .25 0l5.249-3.044a.75.75 0 0 1 .752 1.298l-5.248 3.044a1.75 1.75 0 0 1-1.756 0L1.874 8.814A.75.75 0 0 1 1.6 7.789Zm0 3.5a.75.75 0 0 1 1.025-.273l5.249 3.044a.248.248 0 0 0 .25 0l5.249-3.044a.75.75 0 0 1 .752 1.298l-5.248 3.044a1.75 1.75 0 0 1-1.756 0l-5.248-3.044a.75.75 0 0 1-.273-1.025Z"></path></svg>Enterprise platform</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">AI-powered developer platform</span></span></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ 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1.217-1.667l5.25-1.68a1.748 1.748 0 0 1 1.066 0Zm-.61 1.429.001.001-5.25 1.68a.251.251 0 0 0-.174.237V7c0 1.36.275 2.666 1.057 3.859.784 1.194 2.121 2.342 4.366 3.298a.196.196 0 0 0 .154 0c2.245-.957 3.582-2.103 4.366-3.297C13.225 9.666 13.5 8.358 13.5 7V3.48a.25.25 0 0 0-.174-.238l-5.25-1.68a.25.25 0 0 0-.153 0ZM11.28 6.28l-3.5 3.5a.75.75 0 0 1-1.06 0l-1.5-1.5a.749.749 0 0 1 .326-1.275.749.749 0 0 1 .734.215l.97.97 2.97-2.97a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042Z"></path></svg>GitHub Advanced Security</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Enterprise-grade security features</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 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NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-copilot NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M7.998 15.035c-4.562 0-7.873-2.914-7.998-3.749V9.338c.085-.628.677-1.686 1.588-2.065.013-.07.024-.143.036-.218.029-.183.06-.384.126-.612-.201-.508-.254-1.084-.254-1.656 0-.87.128-1.769.693-2.484.579-.733 1.494-1.124 2.724-1.261 1.206-.134 2.262.034 2.944.765.05.053.096.108.139.165.044-.057.094-.112.143-.165.682-.731 1.738-.899 2.944-.765 1.23.137 2.145.528 2.724 1.261.566.715.693 1.614.693 2.484 0 .572-.053 1.148-.254 1.656.066.228.098.429.126.612.012.076.024.148.037.218.924.385 1.522 1.471 1.591 2.095v1.872c0 .766-3.351 3.795-8.002 3.795Zm0-1.485c2.28 0 4.584-1.11 5.002-1.433V7.862l-.023-.116c-.49.21-1.075.291-1.727.291-1.146 0-2.059-.327-2.71-.991A3.222 3.222 0 0 1 8 6.303a3.24 3.24 0 0 1-.544.743c-.65.664-1.563.991-2.71.991-.652 0-1.236-.081-1.727-.291l-.023.116v4.255c.419.323 2.722 1.433 5.002 1.433ZM6.762 2.83c-.193-.206-.637-.413-1.682-.297-1.019.113-1.479.404-1.713.7-.247.312-.369.789-.369 1.554 0 .793.129 1.171.308 1.371.162.181.519.379 1.442.379.853 0 1.339-.235 1.638-.54.315-.322.527-.827.617-1.553.117-.935-.037-1.395-.241-1.614Zm4.155-.297c-1.044-.116-1.488.091-1.681.297-.204.219-.359.679-.242 1.614.091.726.303 1.231.618 1.553.299.305.784.54 1.638.54.922 0 1.28-.198 1.442-.379.179-.2.308-.578.308-1.371 0-.765-.123-1.242-.37-1.554-.233-.296-.693-.587-1.713-.7Z"></path><path d="M6.25 9.037a.75.75 0 0 1 .75.75v1.501a.75.75 0 0 1-1.5 0V9.787a.75.75 0 0 1 .75-.75Zm4.25.75v1.501a.75.75 0 0 1-1.5 0V9.787a.75.75 0 0 1 1.5 0Z"></path></svg>Copilot for Business</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy 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  <script type="application/json" data-target="react-app.embeddedData">{"payload":{"codeViewBlobRoute":{"csv":null,"csvError":null,"headerInfo":{"toc":[{"level":1,"text":"Contributing guidelines","anchor":"contributing-guidelines","htmlText":"Contributing guidelines"},{"level":2,"text":"Before contributing","anchor":"before-contributing","htmlText":"Before contributing"},{"level":2,"text":"Contributing","anchor":"contributing","htmlText":"Contributing"},{"level":3,"text":"Contributor","anchor":"contributor","htmlText":"Contributor"},{"level":3,"text":"Contribution","anchor":"contribution","htmlText":"Contribution"},{"level":4,"text":"What is an Algorithm?","anchor":"what-is-an-algorithm","htmlText":"What is an Algorithm?"},{"level":4,"text":"Coding Style","anchor":"coding-style","htmlText":"Coding Style"},{"level":4,"text":"Other Standard While Submitting Your Work","anchor":"other-standard-while-submitting-your-work","htmlText":"Other Standard While Submitting Your Work"}]},"issueTemplate":null,"discussionTemplate":null,"richText":"\u003carticle class=\"markdown-body entry-content container-lg\" itemprop=\"text\"\u003e\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch1 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eContributing guidelines\u003c/h1\u003e\u003ca id=\"user-content-contributing-guidelines\" class=\"anchor\" aria-label=\"Permalink: Contributing guidelines\" href=\"#contributing-guidelines\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch2 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eBefore contributing\u003c/h2\u003e\u003ca id=\"user-content-before-contributing\" class=\"anchor\" aria-label=\"Permalink: Before contributing\" href=\"#before-contributing\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eWelcome to \u003ca href=\"https://github.com/TheAlgorithms/Python\"\u003eTheAlgorithms/Python\u003c/a\u003e! Before sending your pull requests, make sure that you \u003cstrong\u003eread the whole guidelines\u003c/strong\u003e. If you have any doubt on the contributing guide, please feel free to \u003ca href=\"https://github.com/TheAlgorithms/Python/issues/new\"\u003estate it clearly in an issue\u003c/a\u003e or ask the community in \u003ca href=\"https://gitter.im/TheAlgorithms\" rel=\"nofollow\"\u003eGitter\u003c/a\u003e.\u003c/p\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch2 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eContributing\u003c/h2\u003e\u003ca id=\"user-content-contributing\" class=\"anchor\" aria-label=\"Permalink: Contributing\" href=\"#contributing\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch3 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eContributor\u003c/h3\u003e\u003ca id=\"user-content-contributor\" class=\"anchor\" aria-label=\"Permalink: Contributor\" href=\"#contributor\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eWe are very happy that you consider implementing algorithms and data structure for others! This repository is referenced and used by learners from all over the globe. Being one of our contributors, you agree and confirm that:\u003c/p\u003e\n\u003cul dir=\"auto\"\u003e\n\u003cli\u003eYou did your work - no plagiarism allowed\n\u003cul dir=\"auto\"\u003e\n\u003cli\u003eAny plagiarized work will not be merged.\u003c/li\u003e\n\u003c/ul\u003e\n\u003c/li\u003e\n\u003cli\u003eYour work will be distributed under \u003ca href=\"/icgowtham/AlgorithmsInPython/blob/master/LICENSE.md\"\u003eMIT License\u003c/a\u003e once your pull request is merged\u003c/li\u003e\n\u003cli\u003eYou submitted work fulfils or mostly fulfils our styles and standards\u003c/li\u003e\n\u003c/ul\u003e\n\u003cp dir=\"auto\"\u003e\u003cstrong\u003eNew implementation\u003c/strong\u003e is welcome! For example, new solutions for a problem, different representations for a graph data structure or algorithm designs with different complexity.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003e\u003cstrong\u003eImproving comments\u003c/strong\u003e and \u003cstrong\u003ewriting proper tests\u003c/strong\u003e are also highly welcome.\u003c/p\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch3 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eContribution\u003c/h3\u003e\u003ca id=\"user-content-contribution\" class=\"anchor\" aria-label=\"Permalink: Contribution\" href=\"#contribution\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eWe appreciate any contribution, from fixing a grammar mistake in a comment to implementing complex algorithms. Please read this section if you are contributing your work.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eYour contribution will be tested by our \u003ca href=\"https://travis-ci.org/TheAlgorithms/Python/pull_requests\" rel=\"nofollow\"\u003eautomated testing on Travis CI\u003c/a\u003e to save time and mental energy.  After you have submitted your pull request, you should see the Travis tests start to run at the bottom of your submission page.  If those tests fail, then click on the \u003cem\u003e\u003cstrong\u003edetails\u003c/strong\u003e\u003c/em\u003e button try to read through the Travis output to understand the failure.  If you do not understand, please leave a comment on your submission page and a community member will try to help.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003ePlease help us keep our issue list small by adding fixes: #{$ISSUE_NO} to the commit message of pull requests that resolve open issues. GitHub will use this tag to auto close the issue when the PR is merged.\u003c/p\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch4 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eWhat is an Algorithm?\u003c/h4\u003e\u003ca id=\"user-content-what-is-an-algorithm\" class=\"anchor\" aria-label=\"Permalink: What is an Algorithm?\" href=\"#what-is-an-algorithm\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eAn Algorithm is one or more functions (or classes) that:\u003c/p\u003e\n\u003cul dir=\"auto\"\u003e\n\u003cli\u003etake one or more inputs,\u003c/li\u003e\n\u003cli\u003eperform some internal calculations or data manipulations,\u003c/li\u003e\n\u003cli\u003ereturn one or more outputs,\u003c/li\u003e\n\u003cli\u003ehave minimal side effects (Ex. print(), plot(), read(), write()).\u003c/li\u003e\n\u003c/ul\u003e\n\u003cp dir=\"auto\"\u003eAlgorithms should be packaged in a way that would make it easy for readers to put them into larger programs.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eAlgorithms should:\u003c/p\u003e\n\u003cul dir=\"auto\"\u003e\n\u003cli\u003ehave intuitive class and function names that make their purpose clear to readers\u003c/li\u003e\n\u003cli\u003euse Python naming conventions and intuitive variable names to ease comprehension\u003c/li\u003e\n\u003cli\u003ebe flexible to take different input values\u003c/li\u003e\n\u003cli\u003ehave Python type hints for their input parameters and return values\u003c/li\u003e\n\u003cli\u003eraise Python exceptions (ValueError, etc.) on erroneous input values\u003c/li\u003e\n\u003cli\u003ehave docstrings with clear explanations and/or URLs to source materials\u003c/li\u003e\n\u003cli\u003econtain doctests that test both valid and erroneous input values\u003c/li\u003e\n\u003cli\u003ereturn all calculation results instead of printing or plotting them\u003c/li\u003e\n\u003c/ul\u003e\n\u003cp dir=\"auto\"\u003eAlgorithms in this repo should not be how-to examples for existing Python packages.  Instead, they should perform internal calculations or manipulations to convert input values into different output values.  Those calculations or manipulations can use data types, classes, or functions of existing Python packages but each algorithm in this repo should add unique value.\u003c/p\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch4 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eCoding Style\u003c/h4\u003e\u003ca id=\"user-content-coding-style\" class=\"anchor\" aria-label=\"Permalink: Coding Style\" href=\"#coding-style\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eWe want your work to be readable by others; therefore, we encourage you to note the following:\u003c/p\u003e\n\u003cul dir=\"auto\"\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003ePlease write in Python 3.7+.  \u003cstrong\u003eprint()\u003c/strong\u003e is a function in Python 3 so \u003cstrong\u003eprint \"Hello\"\u003c/strong\u003e will \u003cem\u003enot\u003c/em\u003e work but \u003cstrong\u003eprint(\"Hello\")\u003c/strong\u003e will.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003ePlease focus hard on naming of functions, classes, and variables.  Help your reader by using \u003cstrong\u003edescriptive names\u003c/strong\u003e that can help you to remove redundant comments.\u003c/p\u003e\n\u003cul dir=\"auto\"\u003e\n\u003cli\u003eSingle letter variable names are \u003cem\u003eold school\u003c/em\u003e so please avoid them unless their life only spans a few lines.\u003c/li\u003e\n\u003cli\u003eExpand acronyms because \u003cstrong\u003egcd()\u003c/strong\u003e is hard to understand but \u003cstrong\u003egreatest_common_divisor()\u003c/strong\u003e is not.\u003c/li\u003e\n\u003cli\u003ePlease follow the \u003ca href=\"https://pep8.org/#prescriptive-naming-conventions\" rel=\"nofollow\"\u003ePython Naming Conventions\u003c/a\u003e so variable_names and function_names should be lower_case, CONSTANTS in UPPERCASE, ClassNames should be CamelCase, etc.\u003c/li\u003e\n\u003c/ul\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eWe encourage the use of Python \u003ca href=\"https://realpython.com/python-f-strings/#f-strings-a-new-and-improved-way-to-format-strings-in-python\" rel=\"nofollow\"\u003ef-strings\u003c/a\u003e where they make the code easier to read.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003ePlease consider running \u003ca href=\"https://github.com/python/black\"\u003e\u003cstrong\u003epsf/black\u003c/strong\u003e\u003c/a\u003e on your Python file(s) before submitting your pull request.  This is not yet a requirement but it does make your code more readable and automatically aligns it with much of \u003ca href=\"https://www.python.org/dev/peps/pep-0008/\" rel=\"nofollow\"\u003ePEP 8\u003c/a\u003e. There are other code formatters (autopep8, yapf) but the \u003cstrong\u003eblack\u003c/strong\u003e formatter is now hosted by the Python Software Foundation. To use it,\u003c/p\u003e\n\u003cdiv class=\"highlight highlight-source-shell notranslate position-relative overflow-auto\" dir=\"auto\" data-snippet-clipboard-copy-content=\"pip3 install black  # only required the first time\nblack .\"\u003e\u003cpre\u003epip3 install black  \u003cspan class=\"pl-c\"\u003e\u003cspan class=\"pl-c\"\u003e#\u003c/span\u003e only required the first time\u003c/span\u003e\nblack \u003cspan class=\"pl-c1\"\u003e.\u003c/span\u003e\u003c/pre\u003e\u003c/div\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eAll submissions will need to pass the test \u003cstrong\u003eflake8 . --ignore=E203,W503 --max-line-length=88\u003c/strong\u003e before they will be accepted so if possible, try this test locally on your Python file(s) before submitting your pull request.\u003c/p\u003e\n\u003cdiv class=\"highlight highlight-source-shell notranslate position-relative overflow-auto\" dir=\"auto\" data-snippet-clipboard-copy-content=\"pip3 install flake8  # only required the first time\nflake8 . --ignore=E203,W503  --max-line-length=88 --show-source\"\u003e\u003cpre\u003epip3 install flake8  \u003cspan class=\"pl-c\"\u003e\u003cspan class=\"pl-c\"\u003e#\u003c/span\u003e only required the first time\u003c/span\u003e\nflake8 \u003cspan class=\"pl-c1\"\u003e.\u003c/span\u003e --ignore=E203,W503  --max-line-length=88 --show-source\u003c/pre\u003e\u003c/div\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eOriginal code submission require docstrings or comments to describe your work.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eMore on docstrings and comments:\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eIf you used a Wikipedia article or some other source material to create your algorithm, please add the URL in a docstring or comment to help your reader.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eThe following are considered to be bad and may be requested to be improved:\u003c/p\u003e\n\u003cdiv class=\"highlight highlight-source-python notranslate position-relative overflow-auto\" dir=\"auto\" data-snippet-clipboard-copy-content=\"x = x + 2\t# increased by 2\"\u003e\u003cpre\u003e\u003cspan class=\"pl-s1\"\u003ex\u003c/span\u003e \u003cspan class=\"pl-c1\"\u003e=\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003ex\u003c/span\u003e \u003cspan class=\"pl-c1\"\u003e+\u003c/span\u003e \u003cspan class=\"pl-c1\"\u003e2\u003c/span\u003e\t\u003cspan class=\"pl-c\"\u003e# increased by 2\u003c/span\u003e\u003c/pre\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eThis is too trivial. Comments are expected to be explanatory. For comments, you can write them above, on or below a line of code, as long as you are consistent within the same piece of code.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eWe encourage you to put docstrings inside your functions but please pay attention to indentation of docstrings. The following is a good example:\u003c/p\u003e\n\u003cdiv class=\"highlight highlight-source-python notranslate position-relative overflow-auto\" dir=\"auto\" data-snippet-clipboard-copy-content=\"def sum_ab(a, b):\n    \u0026quot;\u0026quot;\u0026quot;\n    Return the sum of two integers a and b.\n    \u0026quot;\u0026quot;\u0026quot;\n    return a + b\"\u003e\u003cpre\u003e\u003cspan class=\"pl-k\"\u003edef\u003c/span\u003e \u003cspan class=\"pl-en\"\u003esum_ab\u003c/span\u003e(\u003cspan class=\"pl-s1\"\u003ea\u003c/span\u003e, \u003cspan class=\"pl-s1\"\u003eb\u003c/span\u003e):\n    \u003cspan class=\"pl-s\"\u003e\"\"\"\u003c/span\u003e\n\u003cspan class=\"pl-s\"\u003e    Return the sum of two integers a and b.\u003c/span\u003e\n\u003cspan class=\"pl-s\"\u003e    \"\"\"\u003c/span\u003e\n    \u003cspan class=\"pl-k\"\u003ereturn\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003ea\u003c/span\u003e \u003cspan class=\"pl-c1\"\u003e+\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003eb\u003c/span\u003e\u003c/pre\u003e\u003c/div\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eWrite tests (especially \u003ca href=\"https://docs.python.org/3/library/doctest.html\" rel=\"nofollow\"\u003e\u003cstrong\u003edoctests\u003c/strong\u003e\u003c/a\u003e) to illustrate and verify your work.  We highly encourage the use of \u003cem\u003edoctests on all functions\u003c/em\u003e.\u003c/p\u003e\n\u003cdiv class=\"highlight highlight-source-python notranslate position-relative overflow-auto\" dir=\"auto\" data-snippet-clipboard-copy-content=\"def sum_ab(a, b):\n    \u0026quot;\u0026quot;\u0026quot;\n    Return the sum of two integers a and b\n    \u0026gt;\u0026gt;\u0026gt; sum_ab(2, 2)\n    4\n    \u0026gt;\u0026gt;\u0026gt; sum_ab(-2, 3)\n    1\n    \u0026gt;\u0026gt;\u0026gt; sum_ab(4.9, 5.1)\n    10.0\n    \u0026quot;\u0026quot;\u0026quot;\n    return a + b\"\u003e\u003cpre\u003e\u003cspan class=\"pl-k\"\u003edef\u003c/span\u003e \u003cspan class=\"pl-en\"\u003esum_ab\u003c/span\u003e(\u003cspan class=\"pl-s1\"\u003ea\u003c/span\u003e, \u003cspan class=\"pl-s1\"\u003eb\u003c/span\u003e):\n    \u003cspan class=\"pl-s\"\u003e\"\"\"\u003c/span\u003e\n\u003cspan class=\"pl-s\"\u003e    Return the sum of two integers a and b\u003c/span\u003e\n\u003cspan class=\"pl-s\"\u003e    \u0026gt;\u0026gt;\u0026gt; sum_ab(2, 2)\u003c/span\u003e\n\u003cspan class=\"pl-s\"\u003e    4\u003c/span\u003e\n\u003cspan class=\"pl-s\"\u003e    \u0026gt;\u0026gt;\u0026gt; sum_ab(-2, 3)\u003c/span\u003e\n\u003cspan class=\"pl-s\"\u003e    1\u003c/span\u003e\n\u003cspan class=\"pl-s\"\u003e    \u0026gt;\u0026gt;\u0026gt; sum_ab(4.9, 5.1)\u003c/span\u003e\n\u003cspan class=\"pl-s\"\u003e    10.0\u003c/span\u003e\n\u003cspan class=\"pl-s\"\u003e    \"\"\"\u003c/span\u003e\n    \u003cspan class=\"pl-k\"\u003ereturn\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003ea\u003c/span\u003e \u003cspan class=\"pl-c1\"\u003e+\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003eb\u003c/span\u003e\u003c/pre\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eThese doctests will be run by pytest as part of our automated testing so please try to run your doctests locally and make sure that they are found and pass:\u003c/p\u003e\n\u003cdiv class=\"highlight highlight-source-shell notranslate position-relative overflow-auto\" dir=\"auto\" data-snippet-clipboard-copy-content=\"python3 -m doctest -v my_submission.py\"\u003e\u003cpre\u003epython3 -m doctest -v my_submission.py\u003c/pre\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eThe use of the Python builtin \u003cstrong\u003einput()\u003c/strong\u003e function is \u003cstrong\u003enot\u003c/strong\u003e encouraged:\u003c/p\u003e\n\u003cdiv class=\"highlight highlight-source-python notranslate position-relative overflow-auto\" dir=\"auto\" data-snippet-clipboard-copy-content=\"input('Enter your input:')\n# Or even worse...\ninput = eval(input(\u0026quot;Enter your input: \u0026quot;))\"\u003e\u003cpre\u003e\u003cspan class=\"pl-en\"\u003einput\u003c/span\u003e(\u003cspan class=\"pl-s\"\u003e'Enter your input:'\u003c/span\u003e)\n\u003cspan class=\"pl-c\"\u003e# Or even worse...\u003c/span\u003e\n\u003cspan class=\"pl-s1\"\u003einput\u003c/span\u003e \u003cspan class=\"pl-c1\"\u003e=\u003c/span\u003e \u003cspan class=\"pl-en\"\u003eeval\u003c/span\u003e(\u003cspan class=\"pl-en\"\u003einput\u003c/span\u003e(\u003cspan class=\"pl-s\"\u003e\"Enter your input: \"\u003c/span\u003e))\u003c/pre\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eHowever, if your code uses \u003cstrong\u003einput()\u003c/strong\u003e then we encourage you to gracefully deal with leading and trailing whitespace in user input by adding \u003cstrong\u003e.strip()\u003c/strong\u003e as in:\u003c/p\u003e\n\u003cdiv class=\"highlight highlight-source-python notranslate position-relative overflow-auto\" dir=\"auto\" data-snippet-clipboard-copy-content=\"starting_value = int(input(\u0026quot;Please enter a starting value: \u0026quot;).strip())\"\u003e\u003cpre\u003e\u003cspan class=\"pl-s1\"\u003estarting_value\u003c/span\u003e \u003cspan class=\"pl-c1\"\u003e=\u003c/span\u003e \u003cspan class=\"pl-en\"\u003eint\u003c/span\u003e(\u003cspan class=\"pl-en\"\u003einput\u003c/span\u003e(\u003cspan class=\"pl-s\"\u003e\"Please enter a starting value: \"\u003c/span\u003e).\u003cspan class=\"pl-c1\"\u003estrip\u003c/span\u003e())\u003c/pre\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eThe use of \u003ca href=\"https://docs.python.org/3/library/typing.html\" rel=\"nofollow\"\u003ePython type hints\u003c/a\u003e is encouraged for function parameters and return values.  Our automated testing will run \u003ca href=\"http://mypy-lang.org\" rel=\"nofollow\"\u003emypy\u003c/a\u003e so run that locally before making your submission.\u003c/p\u003e\n\u003cdiv class=\"highlight highlight-source-python notranslate position-relative overflow-auto\" dir=\"auto\" data-snippet-clipboard-copy-content=\"def sum_ab(a: int, b: int) -\u0026gt; int:\n    return a + b\"\u003e\u003cpre\u003e\u003cspan class=\"pl-k\"\u003edef\u003c/span\u003e \u003cspan class=\"pl-en\"\u003esum_ab\u003c/span\u003e(\u003cspan class=\"pl-s1\"\u003ea\u003c/span\u003e: \u003cspan class=\"pl-smi\"\u003eint\u003c/span\u003e, \u003cspan class=\"pl-s1\"\u003eb\u003c/span\u003e: \u003cspan class=\"pl-smi\"\u003eint\u003c/span\u003e) \u003cspan class=\"pl-c1\"\u003e-\u0026gt;\u003c/span\u003e \u003cspan class=\"pl-smi\"\u003eint\u003c/span\u003e:\n    \u003cspan class=\"pl-k\"\u003ereturn\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003ea\u003c/span\u003e \u003cspan class=\"pl-c1\"\u003e+\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003eb\u003c/span\u003e\u003c/pre\u003e\u003c/div\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003e\u003ca href=\"https://docs.python.org/3/tutorial/datastructures.html#list-comprehensions\" rel=\"nofollow\"\u003e\u003cstrong\u003eList comprehensions and generators\u003c/strong\u003e\u003c/a\u003e are preferred over the use of \u003ccode\u003elambda\u003c/code\u003e, \u003ccode\u003emap\u003c/code\u003e, \u003ccode\u003efilter\u003c/code\u003e, \u003ccode\u003ereduce\u003c/code\u003e but the important thing is to demonstrate the power of Python in code that is easy to read and maintain.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eAvoid importing external libraries for basic algorithms. Only use those libraries for complicated algorithms.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eIf you need a third party module that is not in the file \u003cstrong\u003erequirements.txt\u003c/strong\u003e, please add it to that file as part of your submission.\u003c/p\u003e\n\u003c/li\u003e\n\u003c/ul\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch4 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eOther Standard While Submitting Your Work\u003c/h4\u003e\u003ca id=\"user-content-other-standard-while-submitting-your-work\" class=\"anchor\" aria-label=\"Permalink: Other Standard While Submitting Your Work\" href=\"#other-standard-while-submitting-your-work\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cul dir=\"auto\"\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eFile extension for code should be \u003ccode\u003e.py\u003c/code\u003e. Jupyter notebook files are acceptable in machine learning algorithms.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eStrictly use snake_case (underscore_separated) in your file_name, as it will be easy to parse in future using scripts.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003ePlease avoid creating new directories if at all possible. Try to fit your work into the existing directory structure.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eIf possible, follow the standard \u003cem\u003ewithin\u003c/em\u003e the folder you are submitting to.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eIf you have modified/added code work, make sure the code compiles before submitting.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eIf you have modified/added documentation work, ensure your language is concise and contains no grammar errors.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eDo not update the README.md or DIRECTORY.md file which will be periodically autogenerated by our Travis CI processes.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eAdd a corresponding explanation to \u003ca href=\"https://github.com/TheAlgorithms/Algorithms-Explanation\"\u003eAlgorithms-Explanation\u003c/a\u003e (Optional but recommended).\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eAll submissions will be tested with \u003ca href=\"http://www.mypy-lang.org\" rel=\"nofollow\"\u003e\u003cstrong\u003emypy\u003c/strong\u003e\u003c/a\u003e so we encourage to add \u003ca href=\"https://docs.python.org/3/library/typing.html\" rel=\"nofollow\"\u003e\u003cstrong\u003ePython type hints\u003c/strong\u003e\u003c/a\u003e where it makes sense to do so.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eMost importantly,\u003c/p\u003e\n\u003cul dir=\"auto\"\u003e\n\u003cli\u003e\u003cstrong\u003eBe consistent in the use of these guidelines when submitting.\u003c/strong\u003e\u003c/li\u003e\n\u003cli\u003e\u003cstrong\u003eJoin\u003c/strong\u003e \u003ca href=\"https://gitter.im/TheAlgorithms\" rel=\"nofollow\"\u003eGitter\u003c/a\u003e \u003cstrong\u003enow!\u003c/strong\u003e\u003c/li\u003e\n\u003cli\u003eHappy coding!\u003c/li\u003e\n\u003c/ul\u003e\n\u003c/li\u003e\n\u003c/ul\u003e\n\u003cp dir=\"auto\"\u003eWriter \u003ca href=\"https://github.com/poyea\"\u003e@poyea\u003c/a\u003e, Jun 2019.\u003c/p\u003e\n\u003c/article\u003e","richTextTruncated":false,"renderedFileInfo":null,"symbols":{"timed_out":false,"not_analyzed":false,"symbols":[{"name":"Contributing guidelines","fully_qualified_name":"Contributing guidelines","kind":"section_1","ident_start":2,"ident_end":25,"extent_start":0,"extent_end":9585,"ident_utf16":{"start":{"line_number":0,"utf16_col":2},"end":{"line_number":0,"utf16_col":25}},"extent_utf16":{"start":{"line_number":0,"utf16_col":0},"end":{"line_number":167,"utf16_col":0}}},{"name":"Before contributing","fully_qualified_name":"Before 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Contributing guidelines","","## Before contributing","","Welcome to [TheAlgorithms/Python](https://github.com/TheAlgorithms/Python)! Before sending your pull requests, make sure that you **read the whole guidelines**. If you have any doubt on the contributing guide, please feel free to [state it clearly in an issue](https://github.com/TheAlgorithms/Python/issues/new) or ask the community in [Gitter](https://gitter.im/TheAlgorithms).","","## Contributing","","### Contributor","","We are very happy that you consider implementing algorithms and data structure for others! This repository is referenced and used by learners from all over the globe. Being one of our contributors, you agree and confirm that:","","- You did your work - no plagiarism allowed","  - Any plagiarized work will not be merged.","- Your work will be distributed under [MIT License](LICENSE.md) once your pull request is merged","- You submitted work fulfils or mostly fulfils our styles and standards","","**New implementation** is welcome! For example, new solutions for a problem, different representations for a graph data structure or algorithm designs with different complexity.","","**Improving comments** and **writing proper tests** are also highly welcome.","","### Contribution","","We appreciate any contribution, from fixing a grammar mistake in a comment to implementing complex algorithms. Please read this section if you are contributing your work.","","Your contribution will be tested by our [automated testing on Travis CI](https://travis-ci.org/TheAlgorithms/Python/pull_requests) to save time and mental energy.  After you have submitted your pull request, you should see the Travis tests start to run at the bottom of your submission page.  If those tests fail, then click on the ___details___ button try to read through the Travis output to understand the failure.  If you do not understand, please leave a comment on your submission page and a community member will try to help.","","Please help us keep our issue list small by adding fixes: #{$ISSUE_NO} to the commit message of pull requests that resolve open issues. GitHub will use this tag to auto close the issue when the PR is merged.","","#### What is an Algorithm?","","An Algorithm is one or more functions (or classes) that:","* take one or more inputs,","* perform some internal calculations or data manipulations,","* return one or more outputs,","* have minimal side effects (Ex. print(), plot(), read(), write()).","","Algorithms should be packaged in a way that would make it easy for readers to put them into larger programs.","","Algorithms should:","* have intuitive class and function names that make their purpose clear to readers","* use Python naming conventions and intuitive variable names to ease comprehension","* be flexible to take different input values","* have Python type hints for their input parameters and return values","* raise Python exceptions (ValueError, etc.) on erroneous input values","* have docstrings with clear explanations and/or URLs to source materials","* contain doctests that test both valid and erroneous input values","* return all calculation results instead of printing or plotting them","","Algorithms in this repo should not be how-to examples for existing Python packages.  Instead, they should perform internal calculations or manipulations to convert input values into different output values.  Those calculations or manipulations can use data types, classes, or functions of existing Python packages but each algorithm in this repo should add unique value.","","#### Coding Style","","We want your work to be readable by others; therefore, we encourage you to note the following:","","- Please write in Python 3.7+.  __print()__ is a function in Python 3 so __print \"Hello\"__ will _not_ work but __print(\"Hello\")__ will.","- Please focus hard on naming of functions, classes, and variables.  Help your reader by using __descriptive names__ that can help you to remove redundant comments.","  - Single letter variable names are _old school_ so please avoid them unless their life only spans a few lines.","  - Expand acronyms because __gcd()__ is hard to understand but __greatest_common_divisor()__ is not.","  - Please follow the [Python Naming Conventions](https://pep8.org/#prescriptive-naming-conventions) so variable_names and function_names should be lower_case, CONSTANTS in UPPERCASE, ClassNames should be CamelCase, etc.","","- We encourage the use of Python [f-strings](https://realpython.com/python-f-strings/#f-strings-a-new-and-improved-way-to-format-strings-in-python) where they make the code easier to read.","","- Please consider running [__psf/black__](https://github.com/python/black) on your Python file(s) before submitting your pull request.  This is not yet a requirement but it does make your code more readable and automatically aligns it with much of [PEP 8](https://www.python.org/dev/peps/pep-0008/). There are other code formatters (autopep8, yapf) but the __black__ formatter is now hosted by the Python Software Foundation. To use it,","","  ```bash","  pip3 install black  # only required the first time","  black .","  ```","","- All submissions will need to pass the test __flake8 . --ignore=E203,W503 --max-line-length=88__ before they will be accepted so if possible, try this test locally on your Python file(s) before submitting your pull request.","","  ```bash","  pip3 install flake8  # only required the first time","  flake8 . --ignore=E203,W503  --max-line-length=88 --show-source","  ```","","- Original code submission require docstrings or comments to describe your work.","","- More on docstrings and comments:","","  If you used a Wikipedia article or some other source material to create your algorithm, please add the URL in a docstring or comment to help your reader.","","  The following are considered to be bad and may be requested to be improved:","","  ```python","  x = x + 2\t# increased by 2","  ```","","  This is too trivial. Comments are expected to be explanatory. For comments, you can write them above, on or below a line of code, as long as you are consistent within the same piece of code.","","  We encourage you to put docstrings inside your functions but please pay attention to indentation of docstrings. The following is a good example:","","  ```python","  def sum_ab(a, b):","      \"\"\"","      Return the sum of two integers a and b.","      \"\"\"","      return a + b","  ```","","- Write tests (especially [__doctests__](https://docs.python.org/3/library/doctest.html)) to illustrate and verify your work.  We highly encourage the use of _doctests on all functions_.","","  ```python","  def sum_ab(a, b):","      \"\"\"","      Return the sum of two integers a and b","      \u003e\u003e\u003e sum_ab(2, 2)","      4","      \u003e\u003e\u003e sum_ab(-2, 3)","      1","      \u003e\u003e\u003e sum_ab(4.9, 5.1)","      10.0","      \"\"\"","      return a + b","  ```","","  These doctests will be run by pytest as part of our automated testing so please try to run your doctests locally and make sure that they are found and pass:","","  ```bash","  python3 -m doctest -v my_submission.py","  ```","","  The use of the Python builtin __input()__ function is **not** encouraged:","","  ```python","  input('Enter your input:')","  # Or even worse...","  input = eval(input(\"Enter your input: \"))","  ```","","  However, if your code uses __input()__ then we encourage you to gracefully deal with leading and trailing whitespace in user input by adding __.strip()__ as in:","","  ```python","  starting_value = int(input(\"Please enter a starting value: \").strip())","  ```","","  The use of [Python type hints](https://docs.python.org/3/library/typing.html) is encouraged for function parameters and return values.  Our automated testing will run [mypy](http://mypy-lang.org) so run that locally before making your submission.","","  ```python","  def sum_ab(a: int, b: int) -\u003e int:","      return a + b","  ```","","- [__List comprehensions and generators__](https://docs.python.org/3/tutorial/datastructures.html#list-comprehensions) are preferred over the use of `lambda`, `map`, `filter`, `reduce` but the important thing is to demonstrate the power of Python in code that is easy to read and maintain.","","- Avoid importing external libraries for basic algorithms. Only use those libraries for complicated algorithms.","- If you need a third party module that is not in the file __requirements.txt__, please add it to that file as part of your submission.","","#### Other Standard While Submitting Your Work","","- File extension for code should be `.py`. Jupyter notebook files are acceptable in machine learning algorithms.","- Strictly use snake_case (underscore_separated) in your file_name, as it will be easy to parse in future using scripts.","- Please avoid creating new directories if at all possible. Try to fit your work into the existing directory structure.","- If possible, follow the standard *within* the folder you are submitting to.","- If you have modified/added code work, make sure the code compiles before submitting.","- If you have modified/added documentation work, ensure your language is concise and contains no grammar errors.","- Do not update the README.md or DIRECTORY.md file which will be periodically autogenerated by our Travis CI processes.","- Add a corresponding explanation to [Algorithms-Explanation](https://github.com/TheAlgorithms/Algorithms-Explanation) (Optional but recommended).","- All submissions will be tested with [__mypy__](http://www.mypy-lang.org) so we encourage to add [__Python type hints__](https://docs.python.org/3/library/typing.html) where it makes sense to do so.","","- Most importantly,","  - **Be consistent in the use of these guidelines when submitting.**","  - **Join** [Gitter](https://gitter.im/TheAlgorithms) **now!**","  - Happy coding!","","Writer [@poyea](https://github.com/poyea), Jun 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class="markdown-heading" dir="auto"><h1 tabindex="-1" class="heading-element" dir="auto">Contributing guidelines</h1><a id="user-content-contributing-guidelines" class="anchor" aria-label="Permalink: Contributing guidelines" href="#contributing-guidelines"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<div class="markdown-heading" dir="auto"><h2 tabindex="-1" class="heading-element" dir="auto">Before contributing</h2><a id="user-content-before-contributing" class="anchor" aria-label="Permalink: Before contributing" href="#before-contributing"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto">Welcome to <a href="https://github.com/TheAlgorithms/Python">TheAlgorithms/Python</a>! Before sending your pull requests, make sure that you <strong>read the whole guidelines</strong>. If you have any doubt on the contributing guide, please feel free to <a href="https://github.com/TheAlgorithms/Python/issues/new">state it clearly in an issue</a> or ask the community in <a href="https://gitter.im/TheAlgorithms" rel="nofollow">Gitter</a>.</p>
<div class="markdown-heading" dir="auto"><h2 tabindex="-1" class="heading-element" dir="auto">Contributing</h2><a id="user-content-contributing" class="anchor" aria-label="Permalink: Contributing" href="#contributing"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<div class="markdown-heading" dir="auto"><h3 tabindex="-1" class="heading-element" dir="auto">Contributor</h3><a id="user-content-contributor" class="anchor" aria-label="Permalink: Contributor" href="#contributor"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto">We are very happy that you consider implementing algorithms and data structure for others! This repository is referenced and used by learners from all over the globe. Being one of our contributors, you agree and confirm that:</p>
<ul dir="auto">
<li>You did your work - no plagiarism allowed
<ul dir="auto">
<li>Any plagiarized work will not be merged.</li>
</ul>
</li>
<li>Your work will be distributed under <a href="/icgowtham/AlgorithmsInPython/blob/master/LICENSE.md">MIT License</a> once your pull request is merged</li>
<li>You submitted work fulfils or mostly fulfils our styles and standards</li>
</ul>
<p dir="auto"><strong>New implementation</strong> is welcome! For example, new solutions for a problem, different representations for a graph data structure or algorithm designs with different complexity.</p>
<p dir="auto"><strong>Improving comments</strong> and <strong>writing proper tests</strong> are also highly welcome.</p>
<div class="markdown-heading" dir="auto"><h3 tabindex="-1" class="heading-element" dir="auto">Contribution</h3><a id="user-content-contribution" class="anchor" aria-label="Permalink: Contribution" href="#contribution"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto">We appreciate any contribution, from fixing a grammar mistake in a comment to implementing complex algorithms. Please read this section if you are contributing your work.</p>
<p dir="auto">Your contribution will be tested by our <a href="https://travis-ci.org/TheAlgorithms/Python/pull_requests" rel="nofollow">automated testing on Travis CI</a> to save time and mental energy.  After you have submitted your pull request, you should see the Travis tests start to run at the bottom of your submission page.  If those tests fail, then click on the <em><strong>details</strong></em> button try to read through the Travis output to understand the failure.  If you do not understand, please leave a comment on your submission page and a community member will try to help.</p>
<p dir="auto">Please help us keep our issue list small by adding fixes: #{$ISSUE_NO} to the commit message of pull requests that resolve open issues. GitHub will use this tag to auto close the issue when the PR is merged.</p>
<div class="markdown-heading" dir="auto"><h4 tabindex="-1" class="heading-element" dir="auto">What is an Algorithm?</h4><a id="user-content-what-is-an-algorithm" class="anchor" aria-label="Permalink: What is an Algorithm?" href="#what-is-an-algorithm"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto">An Algorithm is one or more functions (or classes) that:</p>
<ul dir="auto">
<li>take one or more inputs,</li>
<li>perform some internal calculations or data manipulations,</li>
<li>return one or more outputs,</li>
<li>have minimal side effects (Ex. print(), plot(), read(), write()).</li>
</ul>
<p dir="auto">Algorithms should be packaged in a way that would make it easy for readers to put them into larger programs.</p>
<p dir="auto">Algorithms should:</p>
<ul dir="auto">
<li>have intuitive class and function names that make their purpose clear to readers</li>
<li>use Python naming conventions and intuitive variable names to ease comprehension</li>
<li>be flexible to take different input values</li>
<li>have Python type hints for their input parameters and return values</li>
<li>raise Python exceptions (ValueError, etc.) on erroneous input values</li>
<li>have docstrings with clear explanations and/or URLs to source materials</li>
<li>contain doctests that test both valid and erroneous input values</li>
<li>return all calculation results instead of printing or plotting them</li>
</ul>
<p dir="auto">Algorithms in this repo should not be how-to examples for existing Python packages.  Instead, they should perform internal calculations or manipulations to convert input values into different output values.  Those calculations or manipulations can use data types, classes, or functions of existing Python packages but each algorithm in this repo should add unique value.</p>
<div class="markdown-heading" dir="auto"><h4 tabindex="-1" class="heading-element" dir="auto">Coding Style</h4><a id="user-content-coding-style" class="anchor" aria-label="Permalink: Coding Style" href="#coding-style"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto">We want your work to be readable by others; therefore, we encourage you to note the following:</p>
<ul dir="auto">
<li>
<p dir="auto">Please write in Python 3.7+.  <strong>print()</strong> is a function in Python 3 so <strong>print "Hello"</strong> will <em>not</em> work but <strong>print("Hello")</strong> will.</p>
</li>
<li>
<p dir="auto">Please focus hard on naming of functions, classes, and variables.  Help your reader by using <strong>descriptive names</strong> that can help you to remove redundant comments.</p>
<ul dir="auto">
<li>Single letter variable names are <em>old school</em> so please avoid them unless their life only spans a few lines.</li>
<li>Expand acronyms because <strong>gcd()</strong> is hard to understand but <strong>greatest_common_divisor()</strong> is not.</li>
<li>Please follow the <a href="https://pep8.org/#prescriptive-naming-conventions" rel="nofollow">Python Naming Conventions</a> so variable_names and function_names should be lower_case, CONSTANTS in UPPERCASE, ClassNames should be CamelCase, etc.</li>
</ul>
</li>
<li>
<p dir="auto">We encourage the use of Python <a href="https://realpython.com/python-f-strings/#f-strings-a-new-and-improved-way-to-format-strings-in-python" rel="nofollow">f-strings</a> where they make the code easier to read.</p>
</li>
<li>
<p dir="auto">Please consider running <a href="https://github.com/python/black"><strong>psf/black</strong></a> on your Python file(s) before submitting your pull request.  This is not yet a requirement but it does make your code more readable and automatically aligns it with much of <a href="https://www.python.org/dev/peps/pep-0008/" rel="nofollow">PEP 8</a>. There are other code formatters (autopep8, yapf) but the <strong>black</strong> formatter is now hosted by the Python Software Foundation. To use it,</p>
<div class="highlight highlight-source-shell notranslate position-relative overflow-auto" dir="auto" data-snippet-clipboard-copy-content="pip3 install black  # only required the first time
black ."><pre>pip3 install black  <span class="pl-c"><span class="pl-c">#</span> only required the first time</span>
black <span class="pl-c1">.</span></pre></div>
</li>
<li>
<p dir="auto">All submissions will need to pass the test <strong>flake8 . --ignore=E203,W503 --max-line-length=88</strong> before they will be accepted so if possible, try this test locally on your Python file(s) before submitting your pull request.</p>
<div class="highlight highlight-source-shell notranslate position-relative overflow-auto" dir="auto" data-snippet-clipboard-copy-content="pip3 install flake8  # only required the first time
flake8 . --ignore=E203,W503  --max-line-length=88 --show-source"><pre>pip3 install flake8  <span class="pl-c"><span class="pl-c">#</span> only required the first time</span>
flake8 <span class="pl-c1">.</span> --ignore=E203,W503  --max-line-length=88 --show-source</pre></div>
</li>
<li>
<p dir="auto">Original code submission require docstrings or comments to describe your work.</p>
</li>
<li>
<p dir="auto">More on docstrings and comments:</p>
<p dir="auto">If you used a Wikipedia article or some other source material to create your algorithm, please add the URL in a docstring or comment to help your reader.</p>
<p dir="auto">The following are considered to be bad and may be requested to be improved:</p>
<div class="highlight highlight-source-python notranslate position-relative overflow-auto" dir="auto" data-snippet-clipboard-copy-content="x = x + 2	# increased by 2"><pre><span class="pl-s1">x</span> <span class="pl-c1">=</span> <span class="pl-s1">x</span> <span class="pl-c1">+</span> <span class="pl-c1">2</span>	<span class="pl-c"># increased by 2</span></pre></div>
<p dir="auto">This is too trivial. Comments are expected to be explanatory. For comments, you can write them above, on or below a line of code, as long as you are consistent within the same piece of code.</p>
<p dir="auto">We encourage you to put docstrings inside your functions but please pay attention to indentation of docstrings. The following is a good example:</p>
<div class="highlight highlight-source-python notranslate position-relative overflow-auto" dir="auto" data-snippet-clipboard-copy-content="def sum_ab(a, b):
    &quot;&quot;&quot;
    Return the sum of two integers a and b.
    &quot;&quot;&quot;
    return a + b"><pre><span class="pl-k">def</span> <span class="pl-en">sum_ab</span>(<span class="pl-s1">a</span>, <span class="pl-s1">b</span>):
    <span class="pl-s">"""</span>
<span class="pl-s">    Return the sum of two integers a and b.</span>
<span class="pl-s">    """</span>
    <span class="pl-k">return</span> <span class="pl-s1">a</span> <span class="pl-c1">+</span> <span class="pl-s1">b</span></pre></div>
</li>
<li>
<p dir="auto">Write tests (especially <a href="https://docs.python.org/3/library/doctest.html" rel="nofollow"><strong>doctests</strong></a>) to illustrate and verify your work.  We highly encourage the use of <em>doctests on all functions</em>.</p>
<div class="highlight highlight-source-python notranslate position-relative overflow-auto" dir="auto" data-snippet-clipboard-copy-content="def sum_ab(a, b):
    &quot;&quot;&quot;
    Return the sum of two integers a and b
    &gt;&gt;&gt; sum_ab(2, 2)
    4
    &gt;&gt;&gt; sum_ab(-2, 3)
    1
    &gt;&gt;&gt; sum_ab(4.9, 5.1)
    10.0
    &quot;&quot;&quot;
    return a + b"><pre><span class="pl-k">def</span> <span class="pl-en">sum_ab</span>(<span class="pl-s1">a</span>, <span class="pl-s1">b</span>):
    <span class="pl-s">"""</span>
<span class="pl-s">    Return the sum of two integers a and b</span>
<span class="pl-s">    &gt;&gt;&gt; sum_ab(2, 2)</span>
<span class="pl-s">    4</span>
<span class="pl-s">    &gt;&gt;&gt; sum_ab(-2, 3)</span>
<span class="pl-s">    1</span>
<span class="pl-s">    &gt;&gt;&gt; sum_ab(4.9, 5.1)</span>
<span class="pl-s">    10.0</span>
<span class="pl-s">    """</span>
    <span class="pl-k">return</span> <span class="pl-s1">a</span> <span class="pl-c1">+</span> <span class="pl-s1">b</span></pre></div>
<p dir="auto">These doctests will be run by pytest as part of our automated testing so please try to run your doctests locally and make sure that they are found and pass:</p>
<div class="highlight highlight-source-shell notranslate position-relative overflow-auto" dir="auto" data-snippet-clipboard-copy-content="python3 -m doctest -v my_submission.py"><pre>python3 -m doctest -v my_submission.py</pre></div>
<p dir="auto">The use of the Python builtin <strong>input()</strong> function is <strong>not</strong> encouraged:</p>
<div class="highlight highlight-source-python notranslate position-relative overflow-auto" dir="auto" data-snippet-clipboard-copy-content="input('Enter your input:')
# Or even worse...
input = eval(input(&quot;Enter your input: &quot;))"><pre><span class="pl-en">input</span>(<span class="pl-s">'Enter your input:'</span>)
<span class="pl-c"># Or even worse...</span>
<span class="pl-s1">input</span> <span class="pl-c1">=</span> <span class="pl-en">eval</span>(<span class="pl-en">input</span>(<span class="pl-s">"Enter your input: "</span>))</pre></div>
<p dir="auto">However, if your code uses <strong>input()</strong> then we encourage you to gracefully deal with leading and trailing whitespace in user input by adding <strong>.strip()</strong> as in:</p>
<div class="highlight highlight-source-python notranslate position-relative overflow-auto" dir="auto" data-snippet-clipboard-copy-content="starting_value = int(input(&quot;Please enter a starting value: &quot;).strip())"><pre><span class="pl-s1">starting_value</span> <span class="pl-c1">=</span> <span class="pl-en">int</span>(<span class="pl-en">input</span>(<span class="pl-s">"Please enter a starting value: "</span>).<span class="pl-c1">strip</span>())</pre></div>
<p dir="auto">The use of <a href="https://docs.python.org/3/library/typing.html" rel="nofollow">Python type hints</a> is encouraged for function parameters and return values.  Our automated testing will run <a href="http://mypy-lang.org" rel="nofollow">mypy</a> so run that locally before making your submission.</p>
<div class="highlight highlight-source-python notranslate position-relative overflow-auto" dir="auto" data-snippet-clipboard-copy-content="def sum_ab(a: int, b: int) -&gt; int:
    return a + b"><pre><span class="pl-k">def</span> <span class="pl-en">sum_ab</span>(<span class="pl-s1">a</span>: <span class="pl-smi">int</span>, <span class="pl-s1">b</span>: <span class="pl-smi">int</span>) <span class="pl-c1">-&gt;</span> <span class="pl-smi">int</span>:
    <span class="pl-k">return</span> <span class="pl-s1">a</span> <span class="pl-c1">+</span> <span class="pl-s1">b</span></pre></div>
</li>
<li>
<p dir="auto"><a href="https://docs.python.org/3/tutorial/datastructures.html#list-comprehensions" rel="nofollow"><strong>List comprehensions and generators</strong></a> are preferred over the use of <code>lambda</code>, <code>map</code>, <code>filter</code>, <code>reduce</code> but the important thing is to demonstrate the power of Python in code that is easy to read and maintain.</p>
</li>
<li>
<p dir="auto">Avoid importing external libraries for basic algorithms. Only use those libraries for complicated algorithms.</p>
</li>
<li>
<p dir="auto">If you need a third party module that is not in the file <strong>requirements.txt</strong>, please add it to that file as part of your submission.</p>
</li>
</ul>
<div class="markdown-heading" dir="auto"><h4 tabindex="-1" class="heading-element" dir="auto">Other Standard While Submitting Your Work</h4><a id="user-content-other-standard-while-submitting-your-work" class="anchor" aria-label="Permalink: Other Standard While Submitting Your Work" href="#other-standard-while-submitting-your-work"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<ul dir="auto">
<li>
<p dir="auto">File extension for code should be <code>.py</code>. Jupyter notebook files are acceptable in machine learning algorithms.</p>
</li>
<li>
<p dir="auto">Strictly use snake_case (underscore_separated) in your file_name, as it will be easy to parse in future using scripts.</p>
</li>
<li>
<p dir="auto">Please avoid creating new directories if at all possible. Try to fit your work into the existing directory structure.</p>
</li>
<li>
<p dir="auto">If possible, follow the standard <em>within</em> the folder you are submitting to.</p>
</li>
<li>
<p dir="auto">If you have modified/added code work, make sure the code compiles before submitting.</p>
</li>
<li>
<p dir="auto">If you have modified/added documentation work, ensure your language is concise and contains no grammar errors.</p>
</li>
<li>
<p dir="auto">Do not update the README.md or DIRECTORY.md file which will be periodically autogenerated by our Travis CI processes.</p>
</li>
<li>
<p dir="auto">Add a corresponding explanation to <a href="https://github.com/TheAlgorithms/Algorithms-Explanation">Algorithms-Explanation</a> (Optional but recommended).</p>
</li>
<li>
<p dir="auto">All submissions will be tested with <a href="http://www.mypy-lang.org" rel="nofollow"><strong>mypy</strong></a> so we encourage to add <a href="https://docs.python.org/3/library/typing.html" rel="nofollow"><strong>Python type hints</strong></a> where it makes sense to do so.</p>
</li>
<li>
<p dir="auto">Most importantly,</p>
<ul dir="auto">
<li><strong>Be consistent in the use of these guidelines when submitting.</strong></li>
<li><strong>Join</strong> <a href="https://gitter.im/TheAlgorithms" rel="nofollow">Gitter</a> <strong>now!</strong></li>
<li>Happy coding!</li>
</ul>
</li>
</ul>
<p dir="auto">Writer <a href="https://github.com/poyea">@poyea</a>, Jun 2019.</p>
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