<SEC-DOCUMENT>0001193125-25-264344.txt : 20251104
<SEC-HEADER>0001193125-25-264344.hdr.sgml : 20251104
<ACCEPTANCE-DATETIME>20251104142821
ACCESSION NUMBER:		0001193125-25-264344
CONFORMED SUBMISSION TYPE:	424B2
PUBLIC DOCUMENT COUNT:		13
FILED AS OF DATE:		20251104
DATE AS OF CHANGE:		20251104

FILER:

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			GOLDMAN SACHS GROUP INC
		CENTRAL INDEX KEY:			0000886982
		STANDARD INDUSTRIAL CLASSIFICATION:	SECURITY BROKERS, DEALERS & FLOTATION COMPANIES [6211]
		ORGANIZATION NAME:           	02 Finance
		EIN:				134019460
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1231

	FILING VALUES:
		FORM TYPE:		424B2
		SEC ACT:		1933 Act
		SEC FILE NUMBER:	333-284538
		FILM NUMBER:		251448133

	BUSINESS ADDRESS:	
		STREET 1:		200 WEST STREET
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10282
		BUSINESS PHONE:		212-902-1000

	MAIL ADDRESS:	
		STREET 1:		200 WEST STREET
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10282

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	GOLDMAN SACHS GROUP INC/
		DATE OF NAME CHANGE:	20010104

FILER:

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			GS Finance Corp.
		CENTRAL INDEX KEY:			0001419828
		STANDARD INDUSTRIAL CLASSIFICATION:	SECURITY BROKERS, DEALERS & FLOTATION COMPANIES [6211]
		ORGANIZATION NAME:           	02 Finance
		EIN:				260785112
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1130

	FILING VALUES:
		FORM TYPE:		424B2
		SEC ACT:		1933 Act
		SEC FILE NUMBER:	333-284538-03
		FILM NUMBER:		251448134

	BUSINESS ADDRESS:	
		STREET 1:		C/O THE GOLDMAN SACHS GROUP, INC.
		STREET 2:		200 WEST STREET
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10282
		BUSINESS PHONE:		212-902-1000

	MAIL ADDRESS:	
		STREET 1:		C/O THE GOLDMAN SACHS GROUP, INC.
		STREET 2:		200 WEST STREET
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10282
</SEC-HEADER>
<DOCUMENT>
<TYPE>424B2
<SEQUENCE>1
<FILENAME>gs-20251104.htm
<DESCRIPTION>424B2
<TEXT>
<!-- DFIN ActiveDisclosure (SM) HTML Document - http://www.dfinsolutions.com/ --><!-- Creation Date :2025-11-04T13:01:13.9072+00:00 --><!-- Copyright (c) 2025 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
<html>
 <head>
  <title>424B2</title>
 </head>
 <body style="padding:8px;margin:auto!important;z-index:0;-webkit-text-size-adjust:100%;position:relative;">
  <div style="padding-top:0.1in;z-index:2;min-height:0.1in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p>
   <table style="margin-left:0.093%;border-spacing:0;table-layout:fixed;width:99.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.622916666666667in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:center;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:right;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Filed Pursuant to Rule 424(b)(2)</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:right;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Registration Statement No. 333-284538</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;">
   <table style="margin-left:0.093%;border-spacing:0;table-layout:fixed;width:99.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:1.2194444444444443in;box-sizing:content-box;"></td>
     <td style="width:6.022222222222222in;box-sizing:content-box;"></td>
     <td style="width:0.38125in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:16pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><img src="img42160230_0.jpg" alt="img42160230_0.jpg" style="width:96px;height:96px;"></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;text-align:left;"><p style="font-size:16pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">GS Finance Corp.</font></p><p style="font-size:12pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$3,680,000</font></p><p style="font-size:12pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Autocallable Equity-Linked Notes due 2028</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">guaranteed by</font></p><p style="font-size:16pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">The Goldman Sachs Group, Inc.</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Payment at Maturity: </font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The amount that you will be paid on your notes at maturity, if they have not been automatically called, is based on the performance of the underlier.</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> You could lose your entire investment in the notes.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Automatic Call:</font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> The notes will be automatically called on a monthly call payment date if the closing level of the underlier is </font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">greater than </font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">or </font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">equal to</font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> the initial underlier level on the related call observation date.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Interest: </font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The notes do not bear interest.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">You should read the disclosure herein to better understand the terms and risks of your investment, including the credit risk of GS Finance Corp. and The Goldman Sachs Group, Inc. See page PS-7.</font></p>
   <table style="margin-left:0.185%;border-spacing:0;table-layout:fixed;width:99.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:1.9055555555555554in;box-sizing:content-box;"></td>
     <td style="width:5.717361111111111in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid #4f81bd;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Key Terms</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid #4f81bd;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Company (Issuer) / Guarantor:</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">GS Finance Corp. / The Goldman Sachs Group, Inc.</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Aggregate face amount:</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$3,680,000</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Automatic call feature:</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The notes will be automatically called if the closing level of the underlier is greater than or equal to the initial underlier level on any call observation date. In that case, the company will pay, for each $1,000 of the outstanding face amount, an amount in cash on the following call payment date equal to $1,000 + ($1,000 &times; the applicable call premium amount).</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Cash settlement amount:</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">subject to the automatic call feature, on the stated maturity date, the company will pay, for each $1,000 face amount of the notes, an amount in cash equal to:</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td style="padding-top:0in;text-indent:14.4pt;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">if the final underlier level is greater than or equal to the initial underlier level: $1,000 + ($1,000 &times; the maturity date premium amount);</font></div></div></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td style="padding-top:0in;text-indent:14.4pt;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">if the final underlier level is greater than or equal to the trigger buffer level but the final underlier level is less than the initial underlier level: $1,000&#x37e; or</font></div></div></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td style="padding-top:0in;text-indent:14.4pt;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">if the final underlier level is less than the trigger buffer level:</font></div></div></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$1,000 + ($1,000 &times; the underlier return)</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Underlier:</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">the Class C common stock of Dell Technologies Inc. (current Bloomberg ticker: &#x201c;DELL UN&#x201d;)</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Trigger buffer level:</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">60% of the initial underlier level</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Maturity date premium amount:</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">75.7512%</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Initial underlier level:</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$162.01, which is an intra-day level or the closing level of the underlier on the trade date</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Final underlier level:</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">the closing level of the underlier on the determination date*</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Underlier return:</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">(the final underlier level - the initial underlier level) &divide; the initial underlier level</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Calculation agent:</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Goldman Sachs &amp; Co. LLC (&#x201c;GS&amp;Co.&#x201d;)</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">CUSIP / ISIN:</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">40058QQQ5 / US40058QQQ54</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">* subject to adjustment as described in the accompanying general terms supplement</font></p>
   <table style="margin-left:0.185%;border-spacing:0;table-layout:fixed;width:99.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:1.9055555555555554in;box-sizing:content-box;"></td>
     <td style="width:5.717361111111111in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;">
     <td style="border-top:0.5pt solid #4f81bd;padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Our estimated value of the notes on trade date / Additional amount / Additional amount end date:</font></p></td>
     <td style="border-top:0.5pt solid #4f81bd;padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$976 per $1,000 face amount, which is less than the original issue price. The additional amount is $24 and the additional amount end date is February 27, 2026. See &#x201c;The Estimated Value of Your Notes At the Time the Terms of Your Notes Are Set On the Trade Date Is Less Than the Original Issue Price Of Your Notes.&#x201d;</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:0;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p>
   <table style="margin-left:0.093%;border-spacing:0;table-layout:fixed;width:99.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:2.540972222222222in;box-sizing:content-box;"></td>
     <td style="width:2.5416666666666665in;box-sizing:content-box;"></td>
     <td style="width:2.540277777777778in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;text-decoration:underline solid;font-family:Arial;font-kerning:none;min-width:fit-content;">Original issue price</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;text-decoration:underline solid;font-family:Arial;font-kerning:none;min-width:fit-content;">Underwriting discount</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;text-decoration:underline solid;font-family:Arial;font-kerning:none;min-width:fit-content;">Net proceeds to the issuer</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">100% of the face amount</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">0.3% of the face amount</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">99.7% of the face amount</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Neither the Securities and Exchange Commission nor any other regulatory body has approved or disapproved of these securities or passed upon the accuracy or adequacy of this prospectus. Any representation to the contrary is a criminal offense. The notes are not bank deposits and are not insured by the Federal Deposit Insurance Corporation or any other governmental agency, nor are they obligations of, or guaranteed by, a bank.</font></p>
   <table style="margin-left:0.093%;border-spacing:0;table-layout:fixed;width:99.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.622916666666667in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:14pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:14pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Goldman Sachs &amp; Co. LLC</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Pricing Supplement No. 20,521 dated October 31, 2025.</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;min-height:0.1in;justify-content:flex-end;position:relative;"></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;">
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:1.8895833333333334in;box-sizing:content-box;"></td>
     <td style="width:5.670138888888889in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid #4f81bd;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Key Terms (continued)</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid #4f81bd;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Trade date:</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">October 31, 2025</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Original issue date:</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">November 5, 2025</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Determination date:</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">October 31, 2028*</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Stated maturity date:</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">November 3, 2028*</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:0;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p>
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:2.495138888888889in;box-sizing:content-box;"></td>
     <td style="width:2.4944444444444445in;box-sizing:content-box;"></td>
     <td style="width:2.570138888888889in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;background-color:#0080c0;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Call observation dates*</font></p></td>
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Call payment dates*</font></p></td>
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Call premium amount</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">November 9, 2026</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">November 13, 2026</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">25.2504%</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">November 30, 2026</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">December 3, 2026</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">27.3546%</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">December 31, 2026</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">January 6, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">29.4588%</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">February 1, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">February 4, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">31.563%</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">March 1, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">March 4, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">33.6672%</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">March 31, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">April 5, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">35.7714%</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">April 30, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">May 5, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">37.8756%</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">June 1, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">June 4, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">39.9798%</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">June 30, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">July 6, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">42.084%</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">August 2, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">August 5, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">44.1882%</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">August 31, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">September 3, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">46.2924%</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">September 30, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">October 5, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">48.3966%</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">November 1, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">November 4, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">50.5008%</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">November 30, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">December 3, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">52.605%</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">December 31, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">January 5, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">54.7092%</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">January 31, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">February 3, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">56.8134%</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">February 29, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">March 3, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">58.9176%</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">March 31, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">April 5, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">61.0218%</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">May 1, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">May 4, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">63.126%</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">May 31, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">June 5, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">65.2302%</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">June 30, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">July 6, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">67.3344%</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">July 31, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">August 3, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">69.4386%</font></p></td>
    </tr>
    <tr style="height:9pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">August 31, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">September 6, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">71.5428%</font></p></td>
    </tr>
    <tr style="height:9pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">October 2, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">October 5, 2028</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">73.647%</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">* subject to adjustment as described in the accompanying general terms supplement</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">2</font></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;">
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The issue price, underwriting discount and net proceeds listed above relate to the notes we sell initially. We may decide to sell additional notes after the date of this pricing supplement, at issue prices and with underwriting discounts and net proceeds that differ from the amounts set forth above. The return (whether positive or negative) on your investment in notes will depend in part on the issue price you pay for such notes.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">GS Finance Corp. may use this prospectus in the initial sale of the notes. In addition, Goldman Sachs &amp; Co. LLC or any other affiliate of GS Finance Corp. may use this prospectus in a market-making transaction in a note after its initial sale. </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">Unless GS Finance Corp. or its agent informs the purchaser otherwise in the confirmation of sale, this prospectus is being used in a market-making transaction.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="border-top:0.5pt solid #000000;padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">About Your Prospectus</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The notes are part of the Medium-Term Notes, Series F program of GS Finance Corp. and are fully and unconditionally guaranteed by The Goldman Sachs Group, Inc. This prospectus includes this pricing supplement and the accompanying documents listed below. This pricing supplement constitutes a supplement to the documents listed below, does not set forth all of the terms of your notes and therefore should be read in conjunction with such documents:</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;text-indent:14.4pt;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><a href="https://www.sec.gov/Archives/edgar/data/886982/000119312525243221/gts_no._17744_2025_shelf.htm"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">General terms supplement no. 17,744 dated October 20, 2025</font></a></div></div></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;text-indent:14.4pt;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><a href="https://www.sec.gov/Archives/edgar/data/886982/000119312525027380/d891153d424b2.htm"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Prospectus supplement dated February 14, 2025</font></a></div></div></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;text-indent:14.4pt;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><a href="https://www.sec.gov/Archives/edgar/data/886982/000119312525027379/d860775d424b2.htm"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Prospectus dated February 14, 2025</font></a></div></div></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The information in this pricing supplement supersedes any conflicting information in the documents listed above. In addition, some of the terms or features described in the listed documents may not apply to your notes.</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">We have not authorized anyone to provide any information or to make any representations other than those contained in or incorporated by reference in this pricing supplement and the accompanying documents listed above. We take no responsibility for, and can provide no assurance as to the reliability of, any other information that others may provide. This pricing supplement and the accompanying documents listed above are an offer to sell only the notes offered hereby, but only under circumstances and in jurisdictions where it is lawful to do so. The information contained in this pricing supplement and the accompanying documents listed above is current only as of the respective dates of such documents.</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">We refer to the notes we are offering by this pricing supplement as the &#x201c;offered notes&#x201d; or the &#x201c;notes&#x201d;. Each of the offered notes has the terms described below. Please note that in this pricing supplement, references to &#x201c;GS Finance Corp.&#x201d;, &#x201c;we&#x201d;, &#x201c;our&#x201d; and &#x201c;us&#x201d; mean only GS Finance Corp. and do not include its subsidiaries or affiliates, references to &#x201c;The Goldman Sachs Group, Inc.&#x201d;, our parent company, mean only The Goldman Sachs Group, Inc. and do not include its subsidiaries or affiliates and references to &#x201c;Goldman Sachs&#x201d; mean The Goldman Sachs Group, Inc. together with its consolidated subsidiaries and affiliates, including us. The notes will be issued under the senior debt indenture, dated as of October 10, 2008, as supplemented by the First Supplemental Indenture, dated as of February 20, 2015, each among us, as issuer, The Goldman Sachs Group, Inc., as guarantor, and The Bank of New York Mellon, as trustee. This indenture, as so supplemented and as further supplemented thereafter, is referred to as the &#x201c;GSFC 2008 indenture&#x201d; in the accompanying prospectus supplement.</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #000000;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The notes will be issued in book-entry form and represented by master note no. 3, dated March 22, 2021.</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">3</font></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;">
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">HYPOTHETICAL EXAMPLES</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The following examples are provided for purposes of illustration only. The examples should not be taken as an indication or prediction of future investment results and merely are intended to illustrate (i) the impact that the various hypothetical closing levels of the underlier on a call observation date could have on the amount payable, if any, on the related call payment date and (ii) the impact that the various hypothetical closing levels of the underlier on the determination date could have on the cash settlement amount at maturity assuming all other variables remain constant and are not intended to predict the closing levels of the underlier.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The information in the following examples reflects hypothetical rates of return on the offered notes assuming that they are purchased on the original issue date at the face amount and held to a call payment date or the stated maturity date. If you sell your notes in a secondary market prior to a call payment date or the stated maturity date, as the case may be, your return will depend upon the market value of your notes at the time of sale, which may be affected by a number of factors that are not reflected in the examples below, such as interest rates, the volatility of the underlier, the creditworthiness of GS Finance Corp., as issuer, and the creditworthiness of The Goldman Sachs Group, Inc., as guarantor. The information in the examples also reflects the key terms and assumptions in the box below.</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p>
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:3.0208333333333335in;box-sizing:content-box;"></td>
     <td style="width:4.531944444444445in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="border-top:0.5pt solid #000000;padding-top:0.028in;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Key Terms and Assumptions</font></p></td>
     <td style="border-top:0.5pt solid #000000;padding-top:0.028in;border-right:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Face amount</font></p></td>
     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;text-align:center;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:right;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$1,000</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Call premium amount</font></p></td>
     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;text-align:center;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:right;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">with respect to a call payment date, the applicable call premium amount</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Maturity date premium amount</font></p></td>
     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;text-align:center;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:right;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">75.7512%</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Trigger buffer level</font></p></td>
     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;text-align:center;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:right;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">60% of the initial underlier level</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:0;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p>
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.552777777777777in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The notes are not automatically called, unless otherwise indicated below</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Neither a market disruption event nor a non-trading day occurs on any originally scheduled call observation date or the originally scheduled determination date</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">No change in or affecting the underlier</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #000000;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Notes purchased on original issue date at the face amount and held to a call payment date or the stated maturity date</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p>
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">For these reasons, the actual performance of the underlier over the life of your notes, the actual underlier level on any call observation date or the determination date, as well as the amount payable on a call payment date or at maturity, if any, may bear little relation to the hypothetical examples shown below or to the historical underlier levels shown elsewhere in this pricing supplement.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Also, the hypothetical examples shown below do not take into account the effects of applicable taxes.</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">4</font></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;">
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Hypothetical Amount in Cash Payable on a Call Payment Date</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The examples below show the hypothetical amounts that we would pay on a call payment date with respect to each $1,000 face amount of the notes if the hypothetical closing level of the underlier was greater than or equal to the initial underlier level on the applicable call observation date. While there are more than two potential call payment dates with respect to your notes, the examples below only illustrate the amount you will receive, if any, on the first and second call payment date.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Your notes are automatically called on the first call observation date. </font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">If, for example, the closing level of the underlier was determined to be 130% of the initial underlier level, your notes would be automatically called and the amount in cash that we would deliver for your notes on the corresponding call payment date would be 125.2504% of the face amount of your notes or $1,252.504 for each $1,000 of the face amount of your notes.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Your notes are not automatically called on the first call observation date and are automatically called on the second call observation date.</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;If, for example, the closing level of the underlier was determined to be 130% of the initial underlier level, your notes would be automatically called and the amount in cash that we would deliver for your notes on the corresponding call payment date would be 127.3546% of the face amount of your notes or $1,273.546 for each $1,000 of the face amount of your notes.</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">5</font></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;">
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Hypothetical Payment at Maturity</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">If the notes are not automatically called on any call observation date</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">, the cash settlement amount that we would deliver for each $1,000 face amount of your notes on the stated maturity date will depend on the performance of the underlier on the determination date, as shown in the table below. The table below assumes that </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">the notes have not been automatically called on a call observation date.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The levels in the left column of the table below represent hypothetical final underlier levels and are expressed as percentages of the initial underlier level. The amounts in the right column represent the hypothetical cash settlement amounts, based on the corresponding hypothetical final underlier level, and are expressed as percentages of the face amount of a note (rounded to the nearest ten-thousandth of a percent). Thus, a hypothetical cash settlement amount of 100.0000% means that the value of the cash payment that we would deliver for each $1,000 of the outstanding face amount of the offered notes on the stated maturity date would equal 100.0000% of the face amount of a note, based on the corresponding hypothetical final underlier level and the assumptions noted above.</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p>
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:3.779861111111111in;box-sizing:content-box;"></td>
     <td style="width:3.779861111111111in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;background-color:#0080c0;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Hypothetical Final Underlier Level</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">(as Percentage of the Initial Underlier Level)</font></p></td>
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Hypothetical Cash Settlement Amount</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">(as Percentage of Face Amount)</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">200.0000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">175.7512%</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">167.0000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">175.7512%</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">133.0000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">175.7512%</font></p></td>
    </tr>
    <tr style="height:10pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">100.0000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">175.7512%</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">99.9999%</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">100.0000%</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">87.0000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">100.0000%</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">73.0000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">100.0000%</font></p></td>
    </tr>
    <tr style="height:10pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">60.0000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">100.0000%</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">59.9999%</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">59.9999%</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">45.0000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">45.0000%</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">30.0000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">30.0000%</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">15.0000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">15.0000%</font></p></td>
    </tr>
    <tr style="height:10pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">0.0000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">0.0000%</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p>
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">As shown in the table above, if the notes have not been automatically called on a call observation date:</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">If the final underlier level were determined to be 15.0000% of the initial underlier level, the cash settlement amount that we would deliver on your notes at maturity would be 15.0000% of the face amount of your notes.</font></div></div></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:38.15pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="margin-left:4.398%;text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.7896905922470236%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x25cb;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">As a result, if you purchased your notes on the original issue date at the face amount and held them to the stated maturity date, you would lose 85.0000% of your investment (if you purchased your notes at a premium to face amount you would lose a correspondingly higher percentage of your investment).</font></div></div></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">If the final underlier level were determined to be 200.0000% of the initial underlier level, the cash settlement amount that we would deliver on your notes at maturity would be limited to 175.7512% of each $1,000 face amount of your notes.</font></div></div></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:38.15pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="margin-left:4.398%;text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.7896905922470236%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x25cb;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">As a result, if you held your notes to the stated maturity date, the cash settlement amount would be capped, and you would not benefit from any increase in the final underlier level over the initial underlier level.</font></div></div></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">6</font></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">SELECTED RISK FACTORS</font></p>
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.552777777777777in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="border-top:0.5pt solid #000000;padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #000000;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">An investment in your notes is subject to the risks summarized below. These risks, as well as other risks and considerations, are explained in more detail in the accompanying documents listed above under &#x201c;About Your Prospectus&#x201d;. You should carefully review these risks and considerations as well as the terms of the notes described herein and in such accompanying documents. Your notes are a riskier investment than ordinary debt securities. Also, your notes are not equivalent to investing directly in the underlier. You should carefully consider whether the offered notes are appropriate given your particular circumstances.</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p>
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #4f81bd;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Risks Related to Structure, Valuation and Secondary Market Sales</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">The Estimated Value of Your Notes At the Time the Terms of Your Notes Are Set On the Trade Date (as Determined By Reference to Pricing Models Used By GS&amp;Co.) Is Less Than the Original Issue Price Of Your Notes</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The original issue price for your notes exceeds the estimated value of your notes as of the time the terms of your notes are set on the trade date, as determined by reference to GS&amp;Co.&#x2019;s pricing models and taking into account our credit spreads. After the trade date, the estimated value as determined by reference to these models will be affected by changes in market conditions, the creditworthiness of GS Finance Corp., as issuer, the creditworthiness of The Goldman Sachs Group, Inc., as guarantor, and other relevant factors. The price at which GS&amp;Co. would initially buy or sell your notes (if GS&amp;Co. makes a market, which it is not obligated to do), and the value that GS&amp;Co. will initially use for account statements and otherwise, also exceeds the estimated value of your notes as determined by reference to these models. As agreed by GS&amp;Co. and the distribution participants, this excess (i.e., the additional amount set forth on the cover of this pricing supplement) will decline to zero on a straight line basis over the period from the date hereof through the additional amount end date set forth on the cover of this pricing supplement. Thereafter, if GS&amp;Co. buys or sells your notes it will do so at prices that reflect the estimated value determined by reference to such pricing models at that time. The price at which GS&amp;Co. will buy or sell your notes at any time also will reflect its then current bid and ask spread for similar sized trades of structured notes.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">In estimating the value of your notes as of the time the terms of your notes are set on the trade date, GS&amp;Co.&#x2019;s pricing models consider certain variables, including principally our credit spreads, interest rates (forecasted, current and historical rates), volatility, price-sensitivity analysis and the time to maturity of the notes. These pricing models are proprietary and rely in part on certain assumptions about future events, which may prove to be incorrect. As a result, the actual value you would receive if you sold your notes in the secondary market, if any, to others may differ, perhaps materially, from the estimated value of your notes determined by reference to our models due to, among other things, any differences in pricing models or assumptions used by others. See &#x201c;The Market Value of Your Notes May Be Influenced by Many Unpredictable Factors&#x201d; below.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The difference between the estimated value of your notes as of the time the terms of your notes are set on the trade date and the original issue price is a result of certain factors, including principally the underwriting discount and commissions, the expenses incurred in creating, documenting and marketing the notes, and an estimate of the difference between the amounts we pay to GS&amp;Co. and the amounts GS&amp;Co. pays to us in connection with your notes. We pay to GS&amp;Co. amounts based on what we would pay to holders of a non-structured note with a similar maturity. In return for such payment, GS&amp;Co. pays to us the amounts we owe under your notes.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">In addition to the factors discussed above, the value and quoted price of your notes at any time will reflect many factors and cannot be predicted. If GS&amp;Co. makes a market in the notes, the price quoted by GS&amp;Co. would reflect any changes in market conditions and other relevant factors, including any deterioration in our creditworthiness or perceived creditworthiness or the creditworthiness or perceived creditworthiness of The Goldman Sachs Group, Inc. These changes may adversely affect the value of your notes, including the price you may receive for your notes in any market making transaction. To the extent that GS&amp;Co. makes a market in the notes, the quoted price will reflect the estimated value determined by reference to GS&amp;Co.&#x2019;s pricing models at that time, plus or minus its then current bid and ask spread for similar sized trades of structured notes (and subject to the declining excess amount described above).</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Furthermore, if you sell your notes, you will likely be charged a commission for secondary market transactions, or the price will likely reflect a dealer discount. This commission or discount will further reduce the proceeds you would receive for your notes in a secondary market sale.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">There is no assurance that GS&amp;Co. or any other party will be willing to purchase your notes at any price and, in this regard, GS&amp;Co. is not obligated to make a market in the notes. See &#x201c;Additional Risk Factors Specific to the Notes &#x2014; Your Notes May Not Have an Active Trading Market&#x201d; in the accompanying general terms supplement.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">The Notes Are Subject to the Credit Risk of the Issuer and the Guarantor</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Investors are dependent on our ability and the ability of The Goldman Sachs Group, Inc., as guarantor of the notes, to pay all amounts due on the notes. Therefore, investors are subject to the credit risk, and to changes in the market&#x2019;s view of the creditworthiness, of the issuer and the guarantor. See &#x201c;Description of the Notes We May Offer &#x2014; Information About Our Medium-Term Notes, Series F Program &#x2014; How the Notes Rank Against Other Debt&#x201d; in the accompanying prospectus supplement and &#x201c;Description of Debt Securities We May Offer &#x2014; Guarantee by The Goldman Sachs Group, Inc.&#x201d; in the accompanying prospectus.</font></p></td>
    </tr>
   </table></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">7</font></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;">
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">You May Lose Your Entire Investment</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Assuming your notes are not automatically called, if the final underlier level is less than the trigger buffer level, you will have a loss for each $1,000 of the face amount of your notes equal to the product of the underlier return </font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">times</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;$1,000. Thus, you may lose your entire investment in the notes, which would include any premium to face amount you paid when you purchased the notes.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Also, the market price of your notes prior to a call payment date or the stated maturity date, as the case may be, may be significantly lower than the purchase price you pay for your notes. Consequently, if you sell your notes before the stated maturity date, you may receive far less than the amount of your investment in the notes.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">The Return on Your Notes May Change Significantly Despite Only a Small Change in the Level of the Underlier</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">While a decrease in the final underlier level to the trigger buffer level will not result in a loss of principal on the notes, a decrease in the final underlier level to less than the trigger buffer level will result in a loss of a significant portion of the face amount of the notes despite only a small change in the level of the underlier.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Your Notes Do Not Bear Interest</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">You will not receive any interest payments on your notes. The overall return you earn on your notes may be less than you would have earned by investing in a non-indexed debt security of comparable maturity that bears interest at a prevailing market rate.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">The Amount You Will Receive on a Call Payment Date or on the Stated Maturity Date, as the Case May Be, Will Be Capped</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Even if the closing level of the underlier on a call observation date exceeds the initial underlier level, causing the notes to be automatically called on such day, you will not benefit from the increases in the closing level of the underlier above the initial underlier level on the call observation date. If your notes are automatically called on a call observation date, the payment you will receive for each $1,000 face amount of your notes on the corresponding call payment date will depend on the applicable call premium amount and is capped due to such call premium amount. In addition, the cash settlement amount you may receive on the stated maturity date is capped due to the maturity date premium amount.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Your Notes Are Subject to Automatic Redemption</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">We will automatically call and redeem all, but not part, of your notes on a call payment date if, as measured on any call observation date, the closing level of the underlier is greater than or equal to the initial underlier level. Therefore, the term for your notes may be significantly reduced. You may not be able to reinvest the proceeds from an investment in the notes at a comparable return for a similar level of risk in the event the notes are automatically called prior to maturity. For the avoidance of doubt, if your notes are automatically called, no discounts, commissions or fees described herein will be rebated or reduced.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">We Will Not Hold Shares of the Underlier for Your Benefit</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The indenture governing your note does not contain any restriction on our ability or the ability of any of our affiliates to sell, pledge or otherwise convey any shares of the underlier acquired by us or them. Neither we nor our affiliates will pledge or otherwise hold shares of the underlier for your benefit in order to enable you to exchange your note for shares under any circumstances. Consequently, in the event of our bankruptcy, insolvency or liquidation, any shares of the underlier owned by us will be subject to the claims of our creditors generally and will not be available for your benefit specifically.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">You Have No Shareholder Rights or Rights to Receive the Underlier</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Investing in your notes will not make you a holder of any shares of the underlier. Neither you nor any other holder or owner of your notes will have any rights with respect to the underlier, including any voting rights, any rights to receive dividends or other distributions, any rights to make a claim against the underlier or any other rights of a holder of any shares of the underlier. Payments on your notes will be made in cash and you will have no right to receive delivery of the underlier.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">In Some Circumstances, the Payment You Receive On the Notes May Be Based On the Securities of Another Company and Not the Issuer of the Underlier</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Following certain corporate events relating to the underlier where its issuer is not the surviving entity, the amount you receive at maturity may be based on the securities of a successor to such underlier issuer or any cash or any other assets distributed to holders of shares of such underlier in such corporate event. The occurrence of these corporate events and the consequent adjustments may materially and adversely affect the value of the notes. We describe the specific corporate events that can lead to these adjustments and the procedures for selecting distribution property under &#x201c;Supplemental Terms of the Notes - Anti-dilution Adjustments for Index Stocks&#x201d; in the accompanying general terms supplement.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">The Market Value of Your Notes May Be Influenced by Many Unpredictable Factors</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">When we refer to the market value of your notes, we mean the value that you could receive for your notes if you chose to sell them in the open market before the stated maturity date. A number of factors, many of which are beyond our control, will influence the market value of your notes, including:</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">the level of the underlier;</font></div></div></td>
    </tr>
   </table></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">8</font></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;">
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">the volatility &#x2014; i.e., the frequency and magnitude of changes &#x2014; in the closing level of the underlier;</font></div></div></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">the dividend rates of the underlier;</font></div></div></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">economic, financial, regulatory, political, military, public health and other events that affect stock markets generally and the market segments of which the underlier is a part, and which may affect the closing level of the underlier;</font></div></div></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">interest rates and yield rates in the market;</font></div></div></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">the time remaining until your notes mature; and</font></div></div></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">our creditworthiness and the creditworthiness of The Goldman Sachs Group, Inc., whether actual or perceived, and including actual or anticipated upgrades or downgrades in our credit ratings or the credit ratings of The Goldman Sachs Group, Inc. or changes in other credit measures.</font></div></div></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Without limiting the foregoing, the market value of your notes may be negatively impacted by increasing interest rates. Such adverse impact of increasing interest rates could be significantly enhanced in notes with longer-dated maturities, the market values of which are generally more sensitive to increasing interest rates.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">These factors may influence the market value of your notes if you sell your notes before maturity, including the price you may receive for your notes in any market making transaction. If you sell your notes prior to maturity, you may receive less than the face amount of your notes. You cannot predict the future performance of the underlier based on its historical performance.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">There is No Affiliation Between the Underlier Issuer and Us</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Goldman Sachs is not affiliated with the underlier issuer. However, we or our affiliates may currently or from time to time in the future engage in business with the underlier issuer. Neither we nor any of our affiliates have participated in the preparation of any publicly available information or made any &#x201c;due diligence&#x201d; investigation or inquiry with respect to the underlier issuer. You, as an investor in your notes, should make your own investigation into the underlier issuer.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The underlier issuer is not involved in this offering of notes in any way and does not have any obligation of any sort with respect to your notes. Thus, the underlier issuer does not have any obligation to take your interests into consideration for any reason, including in taking or not taking any corporate actions that might affect the value of your notes.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #4f81bd;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Risks Related to Tax</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">The Tax Consequences of an Investment in Your Notes Are Uncertain</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The tax consequences of an investment in your notes are uncertain, both as to the timing and character of any inclusion of income in respect of your notes.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Except to the extent otherwise provided by law, GS Finance Corp. intends to continue treating the notes for U.S. federal income tax purposes in accordance with the treatment described under &#x201c;Supplemental Discussion of U.S. Federal Income Tax Consequences&#x201d; below unless and until such time as Congress, the Treasury Department or the Internal Revenue Service determine that some other treatment is more appropriate. Please also consult your tax advisor concerning the U.S. federal income tax and any other applicable tax consequences to you of owning your notes in your particular circumstances.</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">9</font></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">THE UNDERLIER</font></p>
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #4f81bd;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Where Information About the Underlier Issuer Can Be Obtained</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The underlier is registered under the Securities Exchange Act of 1934. Companies with securities registered under the Exchange Act are required to file financial and other information specified by the U.S. Securities and Exchange Commission (&#x201c;SEC&#x201d;) periodically. Information filed by the underlier issuer with the SEC electronically can be reviewed through a web site maintained by the SEC. The address of the SEC&#x2019;s web site is </font><font style="color:#000000;white-space:pre-wrap;text-decoration:underline solid;font-family:Arial;font-kerning:none;min-width:fit-content;">sec.gov</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Information about the underlier issuer may also be obtained from other sources such as press releases, newspaper articles and other publicly available documents.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">We do not make any representation or warranty as to the accuracy or completeness of any materials referred to above, including any filings made by the underlier issuer with the SEC.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #4f81bd;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">We Obtained the Information About the Underlier Issuer From the Underlier Issuer's Public Filings</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">This pricing supplement relates only to your notes and does not relate to the underlier or other securities of the underlier issuer. We have derived all information about the underlier issuer in this pricing supplement from the publicly available information referred to in the preceding subsection. We have not participated in the preparation of any of those documents or made any &#x201c;due diligence&#x201d; investigation or inquiry with respect to the underlier issuer in connection with the offering of your notes. Furthermore, we do not know whether all events occurring on or before the date of this pricing supplement &#x2014; including events that would affect the accuracy or completeness of the publicly available documents referred to above and the trading price of shares of the underlier &#x2014; have been publicly disclosed. Subsequent disclosure of any events of this kind or the disclosure of or failure to disclose material future events concerning the underlier issuer could affect the value you will receive at maturity and, therefore, the market value of your notes.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Neither we nor any of our affiliates make any representation to you as to the performance of the underlier.</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">10</font></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;">
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #4f81bd;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Historical Closing Levels of the Underlier</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The closing level of the underlier has fluctuated in the past and may, in the future, experience significant fluctuations.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Before investing in the offered notes, you should consult publicly available information to determine the levels of the underlier between the date of this pricing supplement and the date of your purchase of the offered notes. You should not take the historical levels of the underlier as an indication of the future performance of the underlier.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The graph below shows the daily historical closing levels of the underlier from January 2, 2020 through October 31, 2025, adjusted for corporate events, if applicable. We obtained the closing levels in the graph below from Bloomberg Financial Services, without independent verification.</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">11</font></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;">
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">According to publicly available information, Dell Technologies Inc. is in the global technology industry and is focused on providing broad and innovative technology solutions for the data and artificial intelligence era. Information filed with the SEC by the underlier issuer under the Exchange Act can be located by referencing its SEC file number 001-37867.</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Historical Performance of Dell Technologies Inc.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><img src="img42160230_1.jpg" alt="img42160230_1.jpg" style="width:623px;height:350px;"></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">12</font></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;">
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">SUPPLEMENTAL DISCUSSION OF U.S. FEDERAL INCOME TAX CONSEQUENCES</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">No statutory, judicial or administrative authority directly addresses how your notes should be characterized and treated for U.S. federal income tax purposes. As a result, the U.S. federal income tax consequences of your investment in your notes are uncertain. The following section is the opinion of Sidley Austin </font><font style="font-variant:small-caps;color:#000000;white-space:pre-wrap;font-size:6pt;font-family:Arial;font-kerning:none;min-width:fit-content;">LLP</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">, counsel to GS Finance Corp. and The Goldman Sachs Group, Inc. You will be obligated pursuant to the terms of the notes - in the absence of a change in law, an administrative determination or a judicial ruling to the contrary - to characterize each note for all tax purposes as a pre-paid derivative contract in respect of the underlier, as described under &#x201c;Supplemental Discussion of U.S. Federal Income Tax Consequences&#x201d; in the accompanying general terms supplement. Pursuant to this approach, it is the opinion of Sidley Austin </font><font style="font-variant:small-caps;color:#000000;white-space:pre-wrap;font-size:6pt;font-family:Arial;font-kerning:none;min-width:fit-content;">LLP</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;that upon the sale, exchange, redemption or maturity of your notes, it would be reasonable for you to recognize capital gain or loss equal to the difference, if any, between the amount of cash you receive at such time and your tax basis in your notes.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Notwithstanding the foregoing, since the appropriate U.S. federal income tax characterization and treatment of your notes are uncertain, it is possible that the Internal Revenue Service could assert a different characterization and treatment than that described immediately above. In this case, the timing and character of income, gain or loss recognized with respect to your notes could substantially differ from that described above.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">In addition, we have determined that, as of the issue date of the notes, the notes will not be subject to dividend equivalent withholding under section 871(m) of the Internal Revenue Code (the &#x201c;871 withholding rules&#x201d;). In certain circumstances, however, it is possible for non-United States holders to be liable for tax under the 871 withholding rules with respect to a combination of transactions entered into in connection with each other even when no withholding is required. Non-United States holders should consult their tax advisors concerning the potential application of the 871 withholding rules to an investment in the notes.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Pursuant to Treasury regulations, Foreign Account Tax Compliance Act (FATCA) withholding (as described in &#x201c;United States Taxation&#x2014;Taxation of Debt Securities&#x2014;Foreign Account Tax Compliance Act (FATCA) Withholding&#x201d; in the accompanying prospectus) will generally apply to obligations that are issued on or after July 1, 2014; therefore, the notes will generally be subject to the FATCA withholding rules.</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">13</font></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;">
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">SUPPLEMENTAL PLAN OF DISTRIBUTION; CONFLICTS OF INTEREST</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">See &#x201c;Supplemental Plan of Distribution&#x201d; in the accompanying general terms supplement and &#x201c;Plan of Distribution &#x2014; Conflicts of Interest&#x201d; in the accompanying prospectus.</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">GS Finance Corp. will sell to GS&amp;Co., and GS&amp;Co. will purchase from GS Finance Corp., the aggregate face amount of the offered notes specified on the front cover of this pricing supplement. GS&amp;Co. proposes initially to offer the notes to the public at the original issue price set forth on the cover page of this pricing supplement, and to certain securities dealers at such price less a concession not in excess of 0.3% of the face amount. The costs included in the original issue price of the notes will include a fee paid by GS&amp;Co. to LFT Securities, LLC for providing certain electronic platform services with respect to this offering. GS&amp;Co. is an affiliate of GS Finance Corp. and The Goldman Sachs Group, Inc. and, as such, will have a &#x201c;conflict of interest&#x201d; in this offering of notes within the meaning of Financial Industry Regulatory Authority, Inc. (FINRA) Rule 5121. Consequently, this offering of notes will be conducted in compliance with the provisions of FINRA Rule 5121. GS&amp;Co. will not be permitted to sell notes in this offering to an account over which it exercises discretionary authority without the prior specific written approval of the account holder.</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">We will deliver the notes against payment therefor in New York, New York on the original issue date set forth on the cover page of this pricing supplement. Under Rule 15c6-1 of the Securities Exchange Act of 1934, trades in the secondary market generally are required to settle in one business day, unless the parties to any such trade expressly agree otherwise. Accordingly, purchasers who wish to trade notes on any date prior to one business day before delivery will be required to specify alternative settlement arrangements to prevent a failed settlement.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">We have been advised by GS&amp;Co. that it intends to make a market in the notes. However, neither GS&amp;Co. nor any of our other affiliates that makes a market is obligated to do so and any of them may stop doing so at any time without notice. No assurance can be given as to the liquidity or trading market for the notes.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The notes will not be listed on any securities exchange or interdealer quotation system.</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">14</font></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;">
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">VALIDITY OF THE NOTES AND GUARANTEE</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">In the opinion of Sidley Austin </font><font style="font-variant:small-caps;color:#000000;white-space:pre-wrap;font-size:6pt;font-family:Arial;font-kerning:none;min-width:fit-content;">LLP</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">, as counsel to GS Finance Corp. and The Goldman Sachs Group, Inc., when the notes offered by this pricing supplement have been executed and issued by GS Finance Corp., such notes have been authenticated by the trustee pursuant to the indenture, and such notes have been delivered against payment as contemplated herein, (a) such notes will be valid and binding obligations of GS Finance Corp., enforceable in accordance with their terms, subject to applicable bankruptcy, insolvency and similar laws affecting creditors&#x2019; rights generally, concepts of reasonableness and equitable principles of general applicability (including, without limitation, concepts of good faith, fair dealing and the lack of bad faith), provided that such counsel expresses no opinion as to the effect of fraudulent conveyance, fraudulent transfer or similar provision of applicable law on the conclusions expressed above and (b) the guarantee with respect to such notes will be a valid and binding obligation of The Goldman Sachs Group, Inc., enforceable in accordance with its terms, subject to applicable bankruptcy, insolvency and similar laws affecting creditors' rights generally, concepts of reasonableness and equitable principles of general applicability (including, without limitation, concepts of good faith, fair dealing and the lack of bad faith), provided that such counsel expresses no opinion as to the effect of fraudulent conveyance, fraudulent transfer or similar provision of applicable law on the conclusions expressed above. This opinion is given as of the date hereof and is limited to the laws of the State of New York and the General Corporation Law of the State of Delaware as in effect on the date hereof. In addition, this opinion is subject to customary assumptions about the trustee&#x2019;s authorization, execution and delivery of the indenture and the genuineness of signatures and certain factual matters, all as stated in the letter of such counsel dated January 27, 2025, which has been filed as Exhibit 5.6 to the registration statement on Form S-3 filed with the Securities and Exchange Commission by GS Finance Corp. and The Goldman Sachs Group, Inc. on January 27, 2025.</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">15</font></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
 </body>
</html>
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>EX-FILING FEES
<SEQUENCE>2
<FILENAME>gs_exfilingfees.htm
<DESCRIPTION>EX-FILING FEES
<TEXT>
<XBRL>
<?xml version='1.0' encoding='ASCII'?>
<!-- DFIN New ActiveDisclosure (SM) Inline XBRL Document - http://www.dfinsolutions.com/ -->
<!-- Creation Date :2025-11-04T13:01:13.7013+00:00 -->
<!-- Copyright (c) 2025 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
<html xmlns="http://www.w3.org/1999/xhtml" xmlns:xbrldi="http://xbrl.org/2006/xbrldi" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xmlns:xbrli="http://www.xbrl.org/2003/instance" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:ix="http://www.xbrl.org/2013/inlineXBRL" xmlns:nonNumeric="http://www.xbrl.org/dtr/type/non-numeric" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:dei="http://xbrl.sec.gov/dei/2025" xmlns:iso4217="http://www.xbrl.org/2003/iso4217" xmlns:dtr-types="http://www.xbrl.org/dtr/type/2024-01-31" xmlns:gs="http://www.goldmansachs.com/20251104" xmlns:ixt-sec="http://www.sec.gov/inlineXBRL/transformation/2015-08-31" xmlns:ffd="http://xbrl.sec.gov/ffd/2025" xmlns:ixt="http://www.xbrl.org/inlineXBRL/transformation/2022-02-16" xmlns:utr="http://www.xbrl.org/2009/utr">
 <head>
  <title>EX-FILING FEES</title>
  <meta http-equiv="Content-Type" content="text/html"/>
 </head>
 <body style="padding:8px;margin:auto!important;z-index:0;-webkit-text-size-adjust:100%;position:relative;">
  <div style="display:none;"><ix:header><ix:hidden><ix:nonNumeric id="F_b9df40a5-e948-4d7b-b1ec-f76c487c8c78" name="ffd:FormTp" contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c">S-3</ix:nonNumeric><ix:nonNumeric id="F_7b1132db-8038-47c0-b55b-3132da500f65" name="dei:EntityCentralIndexKey" contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c">0000886982</ix:nonNumeric><ix:nonNumeric id="F_15b52df4-5b16-4c5e-b8ed-d99cad38ad99" name="dei:EntityRegistrantName" contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c">The Goldman Sachs Group, Inc.</ix:nonNumeric><ix:nonNumeric id="F_d34dc71c-0cef-4d12-8657-a8584f661599" name="ffd:OffsetTableNa" contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c">N/A</ix:nonNumeric><ix:nonNumeric id="F_cc07b4d1-315c-4039-9ed0-ed5bb3c38a32" name="ffd:OfferingTableNa" contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c">N/A</ix:nonNumeric><ix:nonNumeric id="F_b9035ce5-a36f-42c9-85bd-e04f7bfae287" name="ffd:SubmissnTp" contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c">424B2</ix:nonNumeric><ix:nonNumeric id="F_c97f5698-628d-486c-bb07-c39a4f1ee8dc" name="ffd:RegnFileNb" contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c">333-284538</ix:nonNumeric><ix:nonNumeric id="F_f2ebf534-a8f0-4acf-abdc-1c7a70ac7c6b" name="ffd:FeeExhibitTp" contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c">EX-FILING FEES</ix:nonNumeric><ix:nonNumeric id="F_aa08b0ca-ce6d-4234-b6aa-2566044a4fa2" name="ffd:CombinedProspectusTableNa" contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c">N/A</ix:nonNumeric></ix:hidden><ix:references><link:schemaRef xlink:type="simple" xlink:href="https://xbrl.sec.gov/ffd/2025/ffd-2025.xsd"/></ix:references><ix:resources><xbrli:context id="C_57629b37-f774-415f-9164-d6443ed8bc9c"><xbrli:entity><xbrli:identifier scheme="http://www.sec.gov/CIK">0000886982</xbrli:identifier></xbrli:entity><xbrli:period><xbrli:startDate>2025-11-04</xbrli:startDate><xbrli:endDate>2025-11-04</xbrli:endDate></xbrli:period></xbrli:context><xbrli:unit id="U_USD"><xbrli:measure>iso4217:USD</xbrli:measure></xbrli:unit></ix:resources></ix:header></div>
  <div style="z-index:2;min-height:1in;position:relative;"></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:12pt;text-align:right;"><span style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:12pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">EX-FILING FEES</span></p><div><ix:nonNumeric id="F_dd099d4a-f359-4b43-af57-2530b92ecea1" contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c" name="ffd:NrrtvDsclsr" escape="true"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:12pt;text-align:left;"><span style="color:#000000;white-space:pre-wrap;font-size:12pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">The prospectus to which this Exhibit is attached is a final prospectus for the related offering.  The maximum aggregate offering price for such offering is $</span><span style="font-size:12pt;font-family:Times New Roman;color:#000000;white-space:pre-wrap;font-kerning:none;min-width:fit-content;"><ix:nonFraction id="F_4356b2a4-64f6-496b-9b15-112e32a7bd0a" contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c" name="ffd:NrrtvMaxAggtOfferingPric" unitRef="U_USD" decimals="0" format="ixt:num-dot-decimal">3,680,000</ix:nonFraction></span><span style="color:#000000;white-space:pre-wrap;font-size:12pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">.</span></p></ix:nonNumeric></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:12pt;text-align:left;"><span style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</span></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:1in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><span style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</span></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;"/>
 </body>
</html>
</XBRL>
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>GRAPHIC
<SEQUENCE>3
<FILENAME>img42160230_0.jpg
<DESCRIPTION>GRAPHIC
<TEXT>
begin 644 img42160230_0.jpg
M_]C_X  02D9)1@ ! 0$ E@"6  #_VP!#  ," @," @,# P,$ P,$!0@%!00$
M!0H'!P8(# H,# L*"PL-#A(0#0X1#@L+$!80$1,4%145# \7&!84&!(4%13_
MVP!# 0,$! 4$!0D%!0D4#0L-%!04%!04%!04%!04%!04%!04%!04%!04%!04
M%!04%!04%!04%!04%!04%!04%!04%!3_P  1" ". (X# 2(  A$! Q$!_\0
M'P   04! 0$! 0$           $" P0%!@<("0H+_\0 M1   @$# P($ P4%
M! 0   %] 0(#  01!1(A,4$&$U%A!R)Q%#*!D:$((T*QP152T? D,V)R@@D*
M%A<8&1HE)B<H*2HT-38W.#DZ0T1%1D=(24I35%565UA96F-D969G:&EJ<W1U
M=G=X>7J#A(6&AXB)BI*3E)66EYB9FJ*CI*6FIZBIJK*SM+6VM[BYNL+#Q,7&
MQ\C)RM+3U-76U]C9VN'BX^3EYN?HZ>KQ\O/T]?;W^/GZ_\0 'P$  P$! 0$!
M 0$! 0        $" P0%!@<("0H+_\0 M1$  @$"! 0#! <%! 0  0)W  $"
M Q$$!2$Q!A)!40=A<1,B,H$(%$*1H;'!"2,S4O 58G+1"A8D-.$E\1<8&1HF
M)R@I*C4V-S@Y.D-$149'2$E*4U155E=865IC9&5F9VAI:G-T=79W>'EZ@H.$
MA8:'B(F*DI.4E9:7F)F:HJ.DI::GJ*FJLK.TM;:WN+FZPL/$Q<;'R,G*TM/4
MU=;7V-G:XN/DY>;GZ.GJ\O/T]?;W^/GZ_]H # ,!  (1 Q$ /P#ZD^)'Q&\0
MZ5XRU>VM]6NHX8[IU1$D*A5SP!7,'XM>*1G.MWO_ '^-+\6O^1^UO/'^F25I
M_"GX4-XW6;5-1=H-%M5+'C!EQR>:^U2H4Z,)SBMCYA^UJ59*,F9/_"WO$YZ:
MY??7S32K\6_%#<C7+TC_ *[&FOXHT*S\4;(]$2318IO+P6P=N<9J?XO6&DZ7
MX@LWT.)8;"XB$@0'^(CD54?9.2BZ5KB?.E?G9'_PMCQ5_P!!N^_[_&C_ (6S
MXI_Z#=]_W^-9=OX)UBZA@F,*P?:!F%)3M,GT%9EQI]SI^M06&H0-!,90KQN,
M9&>U;<E#7W41>M>W,SI1\7O%!X&N7Q_[;&G+\6/%)Y_MJ]_[_&N\^+7PUT/P
MK\/[/4M.MO*NF"EG)SG(KR?2/"NL>(+&6[L[8BUB7<T\GRK^=8TIX:K'G4$E
M>WS-*BJ4Y6<F;7_"WO$W3^W+[/\ UV-._P"%L^*>O]MWW_?XUZ9H?PCT23X6
MR:K>6>=2$3/YH;N*\9\/^#M<\46EQ<Z79&Y@@)$C+VI4ZF%FI/D22=ARC6BT
MN9ZFS_PMGQ3VUN^_[_&C_A;'BK_H-WW_ '^-5[/X9^([W3[B\M[59D@_UB(V
M7'X4FB_#GQ#K]O)):6RL\8):%CAQCVK7_9M=%H9_OM/>9:_X6QXI_P"@W??]
M_C1_PMGQ3C_D-WW_ '^-<I)97,=[]C:%_MH;880/F!],5OVOPYU^[F^S1VZ+
M>[-_V9VPY'TJG'#1WBA<U7^9ES_A;'BK_H-WW_?XTG_"V?%/_0;OO^_QKF9M
M'O[;5!ID\#Q:@6V^2PYSZ5M7'PV\2V%S!!>V2VS3'",[8!H<<.FDTM0O5U]Y
MZ%W_ (6SXI!'_$[OO^_QKT_]GWQQK/B7Q)JD&HZA<W<<=J'199"P4[E']:\9
M\2>#M9\'R1IJMMY2RC,<B\J?QKTC]F%<>+M9_P"O(?\ H:UR8JG2>'E.$4:T
M95(UHQE)G&?&$G_A.M: ZF]<?K7T=X?T^'0_@SY=NFT?8F8X[DCDU\X?%]2W
MCK6L=1>N?UKZ#\%ZU%XI^"\GDL&EBM6C91V(%<F+C:A1?30ZL-;VE2^[/FSP
MQX!U3QIYJZ:T<LP8DQDX/6NJ\+?#G4Y/B5I6C^(^2@\Q4;D8':JW[/LS1_%!
M$#LIR0R@G%>F^.O$4/AGX\:+<7+;8)(_*+'H,UK6Q%3G=*/8SI4H<JJ2[G,?
MM"3/:_$?P]!"?*AM@GEHO '-;W[0_AV"33O#NNK&JW(DCCD=1@L#BL']HFWD
MD^)6@R(N])]GEL._-='^T1KD4&C^'=&W W3R1N4!Y7&.M<:3Y:-GJT[G1O*I
M==2[\?%-Q\+=)C4[3(T:_F!5/XI:</!_P(M+&S'D;E3S-O5L\]:N_'IC!\*]
M(DQDQO&Q_ "JGQ>OAXB^!=C>P?ODVQ[]G..,5E2O:FG\/,RZGVN]D;7@VX>X
M^ ;F1RY6W= 3UQ6'^RZQ7P;KK \B9B/R-;/@FWE@^ ;B1=I:W9P/;UK&_9?_
M .1-UWT,[?R-$K>SJV_F0U?GAY)D7[.MU-<>+O%XDE9E\XG:3QUIGPON97^/
M'B6,R-Y8#*%[4?LWC_BK/%W_ %V/\Z9\+0?^%^^)N.S5=10YZWH3"]J>G<Y[
MQMKECX%^/3ZG+9_:(5&3$@R<GN!76:5?3>+OB_IFNBT;2;=8MJI-P\WOBG0Z
M/9:Q^T9>"^C640Q!XXWY!/TJ":2[N/VDXH2K&WAB^1 ,(H]:)2A**C;51%RR
MB[]+F9\:+=(?C1X=E10CR.F[ Z]JW/VH;J:/3=!6.1HPUPI.WCN*Q_C<6_X7
M)X9P./,3^=:?[4W_ !X:!C_GX7^8J8ZRHW[,<K6J61>^.\2S?"+3YG&Z55C(
M;'/05Q?[+_\ R->KC_IR'_H:UV_QR4CX.V?^[%_Z"*XC]F'_ )&[6?\ KS'_
M *&M;T?]RJ+^MS&?^\09Q_Q:_P"1^UO_ *_)*V?@59^)+C6+HZ5.(-*C7==^
M;_JR.X'O6-\6,MX^UL#@_;)*]%_9I\6:98V][H=Y(L,\K97S. ^1TKOKMQPB
MLKV2_$PHV^L.[.9T7XF>'_!/CZ[O;+26>)I/+FDZX.>2*7]HR^AU;Q)IE];R
M!H)8 Z-Z=#^E=A\1OV;S?7D^J>')@KR'>;5CA2?:O&[B&\F\1Z9I'B)6M(K:
M01MOX 7//X5GA_8U)JM!W:6J-*JG&+I/9LF@\?ZU-%;"2/\ M)[/F":52S)C
MH16-J6M7NO:I_:-_-)/=J<CS/X<>E>X^+ETG1O%'A.R\+M!-"T@6YAA4."OJ
M36;^T7X)LM.U'1YM)MUM[F^;RG1!@')ZTZ>*I\RC*-KD3HSY'9['G6N?$;7_
M !9IL>DWLGGVL8X11D\5<^'>NZW=7D?A6UE7[)='!ANAE5]\5Z3XB\%:;\-_
M#?AZT 6&\OID^U7C@$@>@J_XFL?#UO\ $OPI+H[PF^) D\@@AAZG%9O$TY1<
M80TUL7[&2FG*78Y3XAWGB_X:V<6AO?)>V5TN L*'*CT^E<%X9^(.N>#;2YLM
M+?R(IR3(D@P<FO</CIXCET/QKX<6"&-VFD57:1<Y!/2L3]H[PCI]L-%U&VA2
MUFNI5CE,8P.<<UEAZ]/D4*D?B_0JK1E>3@]CRKPOXZUWPU>7=UH[-YUVVZ9B
MIY-)I?CC7=!U^ZUF!O(U&Y&)&D4C->K_ !4\&7OA;P3I$OA:R5XD17NI(TW.
MQQG->9>-/%L7BZQTM_)2&_MX_+G"KM+>YKOI3A7NXP6NYS24J5KLI7'C?6KC
MQ)_PD!N3%J@Z.O0^U:MU\6O$-UJD.I?N8KZ,;?.0?,1[UQ_ISFDKM=&F_LG.
MJDUK<V]<\;:OXDUBVU:_E5KVW;=$5Z U-XH^(&M^-(X(]5E61("&CV]B.]<]
M13]C3T]W87M)6M<Z37/B3K_B31X]+OYE>RC(*KWXZ5WO[+__ "-NLCTLAC_O
MM:\>KV#]E_\ Y&[6?^O(?^AK7'BJ<88::BC:C)RJQ<F<?\6?^1]US_K\DK*'
MAU_^$-3Q% [B6.0*S1YRIK5^+2Y\>:X,X_TN3FM7P!\1M"\.^$;W0=;L9+N"
MY;(VCI5<\X4(.*OL5:+JM-V-OX0?'+5=/U:ST?5W^W6=PVV.9CEUS75_';P?
M;^+O%WARSB98KFY_UKKP2@->1:/K'A3PYK<6JVT$]V\#;X+=Q@9HO/BEJ^I>
M.+;Q+/R]N?DML_*JYZ"N*6&DZSJ4HVT-_;KV7LZCOJ>D>,M-LOAOXN\*:)HT
M*QM-(#-<.<NP],UT/QXFCMM<\'R3 ;!=+DGIUKA/&'Q:\.^*-9T?7?LTQOK(
MY,)'%9GQ@^*MG\2[/3X[*"2VDMCNW,.C>U<\,-5J3IIKU-O:4XQDXL[[]J8>
M9X>T61>8C)U'TKRKX*6$E]\2M/\ ++,(?F8L>F/>M6Y^*5GXP\'Q>'_$L4BR
M6^/)O(AD\>M97A?QAIW@G6K2:QCDEMXVW2S$?.X],5UTJ=2GAY4;:ZG/.49U
M54OH>E?M%?\ (\^%QV\U?YUI?M-0M<>%]&A0D222*%(^@KSCXH?%*Q\=^(M'
MU"U@DCBL7#,'&"V#FKGQ0^,5AX]L])AL[>6*2SF61BXZX["N>E1J1=&\=KG1
M*K3E[17-#P%\=;_PA-'H/B>'[1:Y"+*W55/'Y5/^T%X/TBQTZQ\1Z0B0)=L
M5C& V>]<AXQ\2>$/%]];7_V>XM9XT5)5"\.16;XZ^(5SXVBM+(1?9-+L5VPP
M \G&.36].A)U8U*:MW1S.JE2<9:G+9SZ9[XHHHKVKIZH\\**** "O8/V7_\
MD;M9_P"O(?\ H:UX_7L'[+__ "-VL_\ 7D/_ $-:XL9_N\SHP_\ %B<A\6O^
M2@:W_P!?DG\ZX^NP^+7_ "4#6_\ K\D_G7'5MA_X4/0FK_$D+QZ"DX[C-%%;
MF('Z"BBB@!,>U+110 <>E)^%+10 M)110 4444 %%%% !7L'[+__ "-VL_\
M7D/_ $-:\?KV#]E__D;M9_Z\A_Z&M<6,_P!WF=&'_BQ.0^+7_)0-;_Z_)/YU
MQU=C\6O^2@:W_P!?DG\ZXZML/_"AZ$5?XD@HHHK<R"BBB@ HHHH **** "BB
MB@ HHHH **** "O8/V7_ /D;M9_Z\A_Z&M>/U[!^R_\ \C=K/_7D/_0UKBQG
M^[S.C#_Q8G(?%K_DH&M_]?DG\ZXZNQ^+7_)0-;_Z_)/YUQU;8?\ A0]"*O\
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MFOQ!_P!!?3__ !__ .)H_P"&:_$'_07T_P#\?_\ B:/K5'N'L9]CR2BO6_\
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6Y3DY ]*Y<5B*<Z$HIFU"E-5(MH__V0$!

end
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>GRAPHIC
<SEQUENCE>4
<FILENAME>img42160230_1.jpg
<DESCRIPTION>GRAPHIC
<TEXT>
begin 644 img42160230_1.jpg
M_]C_X  02D9)1@ ! @$ 8 !@  #_VP!#  $! 0$! 0$! 0$! 0$! 0$! 0$!
M 0$! 0$! 0$! 0$! 0$! 0$! 0$! 0$! 0$! 0$! 0$! 0$! 0$! 0$! 0'_
MVP!# 0$! 0$! 0$! 0$! 0$! 0$! 0$! 0$! 0$! 0$! 0$! 0$! 0$! 0$!
M 0$! 0$! 0$! 0$! 0$! 0$! 0$! 0'_P  1" %> F\# 2(  A$! Q$!_\0
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M_P"A7\&?^%YKG_SN*/MWQ#_Z%?P9_P"%YKG_ ,[B@#LZ*XS[=\0_^A7\&?\
MA>:Y_P#.XH^W?$/_ *%?P9_X7FN?_.XH [.BN,^W?$/_ *%?P9_X7FN?_.XH
M^W?$/_H5_!G_ (7FN?\ SN* .SHKC/MWQ#_Z%?P9_P"%YKG_ ,[BC[=\0_\
MH5_!G_A>:Y_\[B@#LZ*X--9\?O>3V(\*^#_-M[:TNW8^.]:\LQWDM[#$J$?#
MHL75K"8R HJA6C*LY+!+/V[XA_\ 0K^#/_"\US_YW% '9T5QGV[XA_\ 0K^#
M/_"\US_YW%'V[XA_]"OX,_\ "\US_P"=Q0!V=%<9]N^(?_0K^#/_  O-<_\
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M_P"A7\&?^%YKG_SN*/MWQ#_Z%?P9_P"%YKG_ ,[B@#LZ*XS[=\0_^A7\&?\
MA>:Y_P#.XH^W?$/_ *%?P9_X7FN?_.XH [.BN&'B#Q59ZMX?L-<\/>'[6TU_
M4[G2H[O2O%>HZK<6UQ!H.M:ZCO97G@[18I(9(M%FMV9;Y9(Y)HW$<BA@.YH
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M\XCO[I_)W:+J<7FS&)_,ET8_9D'E8N9O*U:3="WF/A;?S[C]Q+N@&8/.TZ*
M,R._NG\G=HNIQ>;,8G\R71C]F0>5BYF\K5I-T+>8^%M_/N/W$NZ 9@\XCO[I
M_)W:+J<7FS&)_,ET8_9D'E8N9O*U:3="WF/A;?S[C]Q+N@&8/.TZ* ,R._NG
M\G=HNIQ>;,8G\R71C]F0>5BYF\K5I-T+>8^%M_/N/W$NZ 9@\XCO[I_)W:+J
M<7FS&)_,ET8_9D'E8N9O*U:3="WF/A;?S[C]Q+N@&8/.TZ* ,R._NG\G=HNI
MQ>;,8G\R71C]F0>5BYF\K5I-T+>8^%M_/N/W$NZ 9@\XCO[I_)W:+J<7FS&)
M_,ET8_9D'E8N9O*U:3="WF/A;?S[C]Q+N@&8/.TZ* ,R._NG\G=HNIQ>;,8G
M\R71C]F0>5BYF\K5I-T+>8^%M_/N/W$NZ 9@\XCO[I_)W:+J<7FS&)_,ET8_
M9D'E8N9O*U:3="WF/A;?S[C]Q+N@&8/.TZ* .:MM2NI-9N8FTO64W66E*]O+
M)HQM[)'NM547Y:+6YM_VG#I,EO ]PJ:?&667? @TH[^Z?R=VBZG%YLQB?S)=
M&/V9!Y6+F;RM6DW0MYCX6W\^X_<2[H!F#SB*3.LW\7G3-LTS29/L[#_1XO,N
MM:7SHF\ULS3^5LG'D1[4MK8^;-NV0:= &9'?W3^3NT74XO-F,3^9+HQ^S(/*
MQ<S>5JTFZ%O,?"V_GW'[B7= ,P><1W]T_D[M%U.+S9C$_F2Z,?LR#RL7,WE:
MM)NA;S'PMOY]Q^XEW0#,'G:=% &9'?W3^3NT74XO-F,3^9+HQ^S(/*Q<S>5J
MTFZ%O,?"V_GW'[B7= ,P><1W]T_D[M%U.+S9C$_F2Z,?LR#RL7,WE:M)NA;S
M'PMOY]Q^XEW0#,'G:=% &9'?W3^3NT74XO-F,3^9+HQ^S(/*Q<S>5JTFZ%O,
M?"V_GW'[B7= ,P><1W]T_D[M%U.+S9C$_F2Z,?LR#RL7,WE:M)NA;S'PMOY]
MQ^XEW0#,'G:=% &9'?W3^3NT74XO-F,3^9+HQ^S(/*Q<S>5JTFZ%O,?"V_GW
M'[B7= ,P><1W]T_D[M%U.+S9C$_F2Z,?LR#RL7,WE:M)NA;S'PMOY]Q^XEW0
M#,'G:=% &9'?W3^3NT74XO-F,3^9+HQ^S(/*Q<S>5JTFZ%O,?"V_GW'[B7=
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M?N)=T S!YQ'?W3^3NT74XO-F,3^9+HQ^S(/*Q<S>5JTFZ%O,?"V_GW'[B7=
M,P>=IT4 9D=_=/Y.[1=3B\V8Q/YDNC'[,@\K%S-Y6K2;H6\Q\+;^?<?N)=T
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M !1110!QEC_R4/Q1_P!B9X#_ /3Y\1Z[.N,L?^2A^*/^Q,\!_P#I\^(]=G0
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MM^[3!'HNC1>3Y6DZ9']FF-S;^786J>1<-Y6Z>';$/*F/D09E3:Y\F++?NTP
M:=%9D>BZ-%Y/E:3ID?V:8W-OY=A:IY%PWE;IX=L0\J8^1!F5-KGR8LM^[3!'
MHNC1>3Y6DZ9']FF-S;^786J>1<-Y6Z>';$/*F/D09E3:Y\F++?NTP :=%9D>
MBZ-%Y/E:3ID?V:8W-OY=A:IY%PWE;IX=L0\J8^1!F5-KGR8LM^[3!'HNC1>3
MY6DZ9']FF-S;^786J>1<-Y6Z>';$/*F/D09E3:Y\F++?NTP $4F=9OXO.F;9
MIFDR?9V'^CQ>9=:TOG1-YK9FG\K9./(CVI;6Q\V;=L@TZYJVTC1H]9N8HM/L
ME^R66E7EO;KI]JEO9W$UUJJM?6C+GR[VY^QP)<R)!"X2PL29Y]J);:4>BZ-%
MY/E:3ID?V:8W-OY=A:IY%PWE;IX=L0\J8^1!F5-KGR8LM^[3 !IT5F1Z+HT7
MD^5I.F1_9IC<V_EV%JGD7#>5NGAVQ#RICY$&94VN?)BRW[M,$>BZ-%Y/E:3I
MD?V:8W-OY=A:IY%PWE;IX=L0\J8^1!F5-KGR8LM^[3 !\3_\%#9?+^ MBF<>
M=\0?#T77KC2_$,V/?_59Q[9[5](? (Y^!OP=/_5,/ H_[Y\,Z8O]*_.#]O;0
MM?UKXM>!O"VAV!E\/:9\.-5\6C2M,M+:&&QEM]1UNX\8:Y<""*-D0Z%X?T1)
MI[B1HPNGQ16R>>[I/Z7X,\27>F?$7]A;PU:RBVT;4_@Y-?:KIT2(EIJ5]J/@
ML+!>7D*KLGO+>_\ #^F7-M=2 W$,ULACD4,ZM^V8CANIBO#;AC"T<9AY5YU.
M(^)ZL4FW1P^'RK&8F&&:3<G4KPRR5)3<80C6G**4XT7.?X_0S^GAO$+B/%5<
M+65&%/(.'*4FTO:U\1F>#P\\0FURJG1GF,:C@I3G*E",GR2JJ,/TOHKR#X3>
M/OAY\7?#]WXE\&:7"FG:)XJUG0?],TFQM9H-6TI[1GOK9(#.L:7]D^EZA:SA
MX[DV\MLMQ'#/"T4?ID>BZ-%Y/E:3ID?V:8W-OY=A:IY%PWE;IX=L0\J8^1!F
M5-KGR8LM^[3'XWB\)B<!B:V#QE"IAL5AYNG7H58N%2E-6;C.+V=FGYIIK1GZ
MSA<5A\;AZ.+PE:GB,-7@JE&M2DI4ZD);2C);I_@TT]4:=%9D>BZ-%Y/E:3ID
M?V:8W-OY=A:IY%PWE;IX=L0\J8^1!F5-KGR8LM^[3!'HNC1>3Y6DZ9']FF-S
M;^786J>1<-Y6Z>';$/*F/D09E3:Y\F++?NTQSFYIUF129UF_B\Z9MFF:3)]G
M8?Z/%YEUK2^=$WFMF:?RMDX\B/:EM;'S9MVR"E9P>%)[JYL=/A\/37NA74,E
MW9V<>FR76C7MW##<0/<V\ ,VG75S;PV\\+2I#+-#%#*A9$1A%;:1HT>LW,46
MGV2_9++2KRWMUT^U2WL[B:ZU56OK1ESY=[<_8X$N9$@A<)86),\^U$MJE&4'
M:491=HRM)-/EG%2C*SL[2BU*+V<6FKIIBC*,E>,E)7E&\6FN:,G&2NKJ\9)Q
MDMU)-.S3.EHK,CT71HO)\K2=,C^S3&YM_+L+5/(N&\K=/#MB'E3'R(,RIM<^
M3%EOW:8(]%T:+R?*TG3(_LTQN;?R["U3R+AO*W3P[8AY4Q\B#,J;7/DQ9;]V
MF)&:=%9D>BZ-%Y/E:3ID?V:8W-OY=A:IY%PWE;IX=L0\J8^1!F5-KGR8LM^[
M3!'HNC1>3Y6DZ9']FF-S;^786J>1<-Y6Z>';$/*F/D09E3:Y\F++?NTP :=%
M9D>BZ-%Y/E:3ID?V:8W-OY=A:IY%PWE;IX=L0\J8^1!F5-KGR8LM^[3!'HNC
M1>3Y6DZ9']FF-S;^786J>1<-Y6Z>';$/*F/D09E3:Y\F++?NTP :=?+?[:4/
MG_LS?$V,,JGR?"TPW$#/V7QOX:NF49ZL4@; ')Q7TC'HNC1>3Y6DZ9']FF-S
M;^786J>1<-Y6Z>';$/*F/D09E3:Y\F++?NTQ^>?_  47CM=-^%G@73M/L[6R
MAO/'K7$L=G;0VXD:#0-10AEA1-PD:2%I%/#O;V[,&:"(I]AX?X26-XVX8HPF
MJ<H9S@L6I./.K8"JL<X\MX_''#."=]'*]G:S^4XYQ4<'P?Q'6E!U%+*<7A>5
M/EUQM-X)2O9Z0>(4VK:J+5U>Z\W_ &&M?U+Q9XLU36M52W6?3]1^$GA*U^RQ
M/%$=.\)_!OXN^'-/+B269C<MIVCV$EY(KK'-=O-,D4*.D2?K/7R)\*/V=]!^
M .J:1;:-JL^M)XE^)]W?V<]]9P0W^EZ3#\,?&T5MHTMY$[&_,5S]IFDO%BL8
M[@/;YL8Y(6DD^NZ./<VRW.^*\SS+*&WEE:&74\&G3G1<:6$RO!81Q]E42G#E
MG0G&S5M+Q;BTV<$Y9C\GX9R[+\T268TI8ZIB[5(5;U<5F.+Q7-[2#<9<T*T7
M=.^MFE*Z11117QY]6%%%% !1110 4444 %%%% !1110!QEC_ ,E#\4?]B9X#
M_P#3Y\1Z[.N,L?\ DH?BC_L3/ ?_ *?/B/79T %%%% !1110 4444 %%%% !
M69%)G6;^+SIFV:9I,GV=A_H\7F76M+YT3>:V9I_*V3CR(]J6UL?-FW;(-.LR
M*3.LW\7G3-LTS29/L[#_ $>+S+K6E\Z)O-;,T_E;)QY$>U+:V/FS;MD !IT4
M44 %%%% !1110 4444 %%%% &9%)G6;^+SIFV:9I,GV=A_H\7F76M+YT3>:V
M9I_*V3CR(]J6UL?-FW;(-.LR*3.LW\7G3-LTS29/L[#_ $>+S+K6E\Z)O-;,
MT_E;)QY$>U+:V/FS;MD&G0 4444 %%%% !1110 4444 %9D4F=9OXO.F;9IF
MDR?9V'^CQ>9=:TOG1-YK9FG\K9./(CVI;6Q\V;=L@TZS(I,ZS?Q>=,VS3-)D
M^SL/]'B\RZUI?.B;S6S-/Y6R<>1'M2VMCYLV[9  :=%%% !1110 4444 %%%
M% !1110!F129UF_B\Z9MFF:3)]G8?Z/%YEUK2^=$WFMF:?RMDX\B/:EM;'S9
MMVR#3K,BDSK-_%YTS;-,TF3[.P_T>+S+K6E\Z)O-;,T_E;)QY$>U+:V/FS;M
MD&G0 445E66N:/J6H:QI5AJ=E>:EX>N+2UURPM[B.2ZTJXO[&#4K*&^A5B]N
M]U87,%W ) /-AD#H3AL5&$YJ<HPE*-.*G4<8MJG!SA34YM)J$74J4Z:E*R<Y
MPC?FDDYE.$7",IQC*I)PIQE))SFH2J.,$VG*2A"<W&-VH0E*UHMKXD^.8,GQ
MU\8Q==O[%WQ/8#KS+K.H1\#U. .G/Y5\#_M!^(M0T73_ -F6XTB\FLM0L_V;
M?#"Q75O(\4\$6M0Z[H]PT,L;+)%*;9;A(Y497C;#H0R@U^@'Q)EM=;_::\=:
M197$-W=:?^QSXQL-1MX'666SN]1\2M+!:W*(28;B6SU"QNDA?$C6]Y;3;?+G
MB9ODO]ASX>>%?C!K7B2+XB:-:>*=(^'?AK0-/\/:7JGGR6EG)J?BWQ%XF#B.
M*6%7A%\^J>?8W GL[V/4;N*[AF@EDB;^E.$\5A,EX?I<19A3J5L)P]D^3UL5
M@H4X2JXFCG6'S/+Z:@JLZ=-\T\13?+/W*E*I*7,N5*?\^<3X;$YMGE7(<!4A
M2Q6>YMFM'#8N=2<:6'K91B,LQU1S=*$YWC'#U%>'O0JP47%\UX?2W_!.6Z1?
MA#XPTF0-%?6GQ$N-3EMY%:.5;#6?"?A0Z;<E' /DWBV-S);R#Y)HU$B$H0S?
MH-7RI\,56Q_:C_:8L80(X-2T7X.:L8E 6-9K?PS?:>[H@PJ&1<>85'SL S$D
M"OJNOQCCO$+'<38S,XP=*.<83*,Y]BY<[H2S7)\!CZE#GY8<ZH5,1.BI\L>>
M,%/EBWRK];X+P[P7#N$RZ4U5EE6)S3*754>3VRRS-<;@H5N3FGR.M3HPJN'-
M+D<W'FE:[*R-=\0:%X7TJZUSQ+K.E>']%LA$;S5M:U"UTO3;7SYH[: 3WM[+
M#;Q-/<316\"O(&FGEBAC#22(IUZ^'/\ @H(+F3X$65M;/)YEY\0?#5J8(RP-
MYOLM<>*V*@@.#<1PS*C97S(8V W*I'E\-Y3#/<_RG)ZM:6&I9CCJ&&J5X14Y
MTJ=27OSC&347)13Y>;W4[.6B9Z7$.:3R7),TS6G1CB*F P=;$4Z,I.,:E2$?
M<C*44Y*+DUS<OO-74;-HYW]EC6SJO[2/[6<D-W'=V=YXELI89X95G@N(-+US
MQ)86$L,J,T<L(M)<0NC,AC92AVD9^\HI,ZS?Q>=,VS3-)D^SL/\ 1XO,NM:7
MSHF\ULS3^5LG'D1[4MK8^;-NV0?E+_P3;CN4\5?$N6X211>^&/#]U;R2 _Z1
M#%K.JV;3(Q^^BW%O/ S\_O(9%)R#7ZM129UF_B\Z9MFF:3)]G8?Z/%YEUK2^
M=$WFMF:?RMDX\B/:EM;'S9MVR#ZGQ3PD,!QEC,%3DIQPF79%A5-)1Y_JN2X'
M#<W*FU%VI).-WRM<M]#YKPTQ4\;PEA<74BX2Q6/SG$N#;ER?6<VQF(Y5)I.2
MO5NI67-?FMJ:=%%%?G9]Z%%%% !117C'QU^+_A;X-^"6UOQ1<7\"ZY=OX:T@
MZ;;"[N4U6_TZ_GANY8A-%)'86,=K)<7EQ")IHE6-(+>XN9H().O 8'%9GC,-
M@,%1J8C%8JK&E1HTH.=2<G=OEA&[?+%.3MM&+>R.7&XW#9=A,1CL96IT,-AJ
M;JUJM62A"$5HN:3T5Y-15^K2,/\ 9Z^-,WQHTCQW>WMMI.GWOA/XB^(O"]O8
MZ;=M-/)X?MOLUSH&JWT$LLDL4MY#/=6+7"A;._NM)O)[180);6V\9_;2\*W'
MCO4OV?/!5MM#^(_BDMI,[% L-DEG"VHW3!W0.+6P:YN/*5O,F\KRHE:5T1OG
M+]CGQKX5^%OQ%TKPIJ0N;2Y^,'@GP --DA3?:-KS+XEO!/J,LTZ&);QY(=-M
M?(2>1[Z_MD6!+8W-Q!Z[\1OB3K/BC]N#X6_"PVUFNA_#_58M3MWB1VOY]4U;
MP)=:[?W$\WF[%MTL;FSBCMO)W1_96N!*1<,H_9/]6JV0>(6/Q638?V&795P_
MFO$N#J5HN%/ZMA\GJX:<J2E.I[54<VK*DX*I>R;]V*1^3+B&CGG F!PV;U_;
M8_,\\ROA[%PHM2G]8KYK2Q$(U+0I^S=3*Z3JJ;A9R:MS-GW-XH_Y#GPX_P"Q
MSOO_ %7GCRNSKC/%'_(<^''_ &.=]_ZKSQY79U^('[&%%%% !1110 4444 >
M2:E\?O@1HVHW^CZQ\:_A)I6K:5>W6FZII>I?$CP=8ZCINHV,\EK>V%_976LQ
M7-G>V=S%+;W5K<11SV\\<D,T:2(RCT[3=2T[6=.L-8T>_LM5TG5;*UU+2]4T
MVZ@OM.U+3KZ".ZLK^PO;626VO+*\MI8KBUNK>62"X@DCFAD>-U8_F]^T]8>)
MX?C]X-L_#WA;QIXD\)W/A>ZO?$/AOX)6'PPN?&R3>*?"/Q^T'6?%7B?3/$<E
MMJRW,WC9_@M-\.?$^M++X)T_5]$\=7>LW$5Q:%9OO3X76OBVQ^&?P[L?'Z:;
M'X[L_ OA&U\:QZ-%:0:1'XMM] T^'Q(FE0Z?%#80Z:NLI>K8Q64,5I':B)+:
M*.$(@ .ZHHHH **** .,L?\ DH?BC_L3/ ?_ *?/B/79UQEC_P E#\4?]B9X
M#_\ 3Y\1Z[.@ HHHH **** "BBB@ HHHH *S(I,ZS?Q>=,VS3-)D^SL/]'B\
MRZUI?.B;S6S-/Y6R<>1'M2VMCYLV[9!IUF129UF_B\Z9MFF:3)]G8?Z/%YEU
MK2^=$WFMF:?RMDX\B/:EM;'S9MVR  TZ*** "BBB@ HHHH **** "BBB@#,B
MDSK-_%YTS;-,TF3[.P_T>+S+K6E\Z)O-;,T_E;)QY$>U+:V/FS;MD&G69%)G
M6;^+SIFV:9I,GV=A_H\7F76M+YT3>:V9I_*V3CR(]J6UL?-FW;(-.@ HHHH
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MSIFV:9I,GV=A_H\7F76M+YT3>:V9I_*V3CR(]J6UL?-FW;( #3HHHH ****
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MTZP3R8Y/+,PAGEDGF\NVMX()KBXFBAC=Q\-_\%#M#UJ/P7\.?B+HFI7EE<>
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M?1?#=CX3U&(NC36>H^%H4T66"=$=S$9(;2WO;9)"KO87=I.459E%?F/X$O\
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M8F7PIX>&E>#+,^$$;POX?TD)JOVK[OH XRQ_Y*'XH_[$SP'_ .GSXCUV=<'
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MSIFV:9I,GV=A_H\7F76M+YT3>:V9I_*V3CR(]J6UL?-FW;( #3HHHH ****
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MCB*$\13>)I2Q"A*BIX:#EB$ZL:D)0_=^]"7.O=NU]6T5S_A/Q-I7C3PQX?\
M%VAR/+H_B71].UO3FE5$G%IJ5K%=PQW,222K#=0K*(;J 2.8+A)868LAKH*\
MBK2J4*M2C6A*G5HU)TJM.:<9TZE.3A.$HO52C).,D]4TT>K2J4ZU.G6I3C4I
M580J4ZD7>,Z<XJ4)Q:T<91:DFMTTPHJ"YN;:RMI[R\N(+2TM89;BZNKF6."V
MMK>%&DFGGGE9(H88HU:2661E2-%9F8*":^9O'W[5?P]\/>"9?%'@.0_%34[G
MQK%\.-#T'PL\KRZIXQGM6O(K.*8VTL]WI[P",6^I:)9:Q#J-S=65KIWVEKAI
M(>[+<GS/-ZT*.6X+$8J4ZU*@YTX-4*=6LVJ4:^)GRX?#J7+)J=>K3@HPE)R4
M8R:XLPS;+<JI2K9AC*&&C&E4K*,YWK5*=*WM'1P\.:O7<>:*<:-.I-RE&*BW
M))_0=[XH\,Z;J]AX?U'Q%H5AKVJP37.EZ)>ZOI]KJ^I6UMN-Q<6&FSW$=[>0
M0!',TMO#)'%L;>R[3CYE_:"_:2?P+X5\+3_"&/0OB5XJ\9Z]=6&BVVB7R>)+
M9K#PX!>>)YHK/P_+<W&I2P11#2I8K:: Z?->/>32,]C]CN/G[P'\+K#]K/XD
M?%SQQ\:OAMXQ\"#2Y/AWH_AW1KS5=8LKS2Y=-L-0D\0Z3'<W6E:/%=V^H1Q:
M;>7\;Z1%<V4.M12:?<VUQ<"^D^L?A]^RQ\%?AAXQD\<^$/#$]GKJ1W$6F->:
MOJ>IVNA)>6\MK>G2(+ZYG:&6[MII;>2>ZEN[B*WEFM[66W@GGCD^VEEG"/"V
M,HQSJOF.;9Q@<)A<5B\DIX7 U,FKX_$8"&+I8*IF^%S:<JF%I5<7AHXBK1H5
M8R^IXR$8U88BCR_'QS'BGB7"U99/1P&5Y5C<5B,-ALXJ8G&0S:C@</CI86KC
M*>5XG+(1AB:M+"XB5"E6K4Y1^MX6<I4Y4*O-X"OQ+_;3^)]G8Z/X6^%FA?"B
M75M,EUT>--?O#=6,>AZE;PQ:3:107-KJ,NG^(H9UN[F>VN+"YOUAFLVN]$TN
M*$W-]C:7\8O%O[*GB7Q+\,_B[XH\7?&BZU3P]X;\2?#2Z@LYKG7M8U;6+[4=
M)U'P\)M0U+4;LVAU>%$MWGN[NZ@M;222PTV62YM]-K]'JX'Q!\+O /BKQ9X7
M\<Z_X:L]2\6>#'+^&]9DFO8I].)=Y4#16UU#:WR03227%I'J,%W'9W3M=6JP
MW!,E8X7B_)*KKX#,>%<LPN05J%24\'DU!K,:N.I5(XC U9YOF%?$8^G356#P
MM94,13C#!8K%*G0G/V<5KB.%<XIJCC<#Q+F.)SNC6IQAB\VK7P%/!58.AC:<
M,JP-&A@:E1TY1Q-)UJ$Y3Q>&P[J5X1YY/X\TS]E[QS\<KK0_B!^TKX_UBX@O
M4MM=M_@]X=BO=&T'PT;A;26#29[B[O)I;.9M.5M.\0P:?IMKK0NGE$?BJ>:#
M[7-ZF?V/?V<YM7\00K\/K>'[?I&@"6&+4=9$%BL>J75R9]*:75IA8W5^^CVU
MOJ#VMO;R-913VZSO%J^JQ2_5U9D4F=9OXO.F;9IFDR?9V'^CQ>9=:TOG1-YK
M9FG\K9./(CVI;6Q\V;=L@\K%<<\3UYP6&S;%93A,.G#!Y=D]665X'"455C5I
MT:>'P7L(5/9RA3_?5U5Q%1P4JM6<FV_2PW!G#E",WB,LPV9XJLU/%8_-J:S+
M&XJLZ<J4ZM2OC/;2ASQG/]U1]E0IJ;C2I0C9*GI7A3PSH>IZUK.C:!I&EZMX
MCEM)M>U&PL+:UO-7DL+?[+9-?SPQI)<_98"T< D8K'YDK* \LK/OT45\M4JU
M:TN>M4J59\L(<]2<IRY*4(TZ<.:3;Y:=.$:<(WM"$8QBE&*2^FITZ=*/)2IP
MIPYISY:<8PCSU)RJ5)<L4ES3J2E.<K7E.4I2;;;91116984444 %%%% !111
M0!F129UF_B\Z9MFF:3)]G8?Z/%YEUK2^=$WFMF:?RMDX\B/:EM;'S9MVR#3K
M,BDSK-_%YTS;-,TF3[.P_P!'B\RZUI?.B;S6S-/Y6R<>1'M2VMCYLV[9!IT
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MS;MD !IT444 %%%% !1110 4444 <9XH_P"0Y\./^QSOO_5>>/*[.N,\4?\
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MIFV:9I,GV=A_H\7F76M+YT3>:V9I_*V3CR(]J6UL?-FW;(-.@ HHHH ****
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M3\'I*=,BT2;[4O\ ;'CIHA.-9T?5POD$RF(VPMRWGR>>9@L/E:__  CVK_\
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M\QU'_"/:O_T/7BK_ , _!'_S'5U5%'MY_P M'_PGP_\ \J#V<>]3_P &U?\
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M>U?_ *'KQ5_X!^"/_F.H_P"$>U?_ *'KQ5_X!^"/_F.K)\5_$OPMX*\0>'=
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MQ,=9U?5;>YT.YT[4=4\&:-XK\(6%[/:BX\3+:_:;JV^BZCV\_P"6C_X3X?\
M^5#]G'O4_P#!M7_Y/R_/NSE?^$>U?_H>O%7_ (!^"/\ YCJ/^$>U?_H>O%7_
M (!^"/\ YCJZJBCV\_Y:/_A/A_\ Y4'LX]ZG_@VK_P#)^7Y]V<K_ ,(]J_\
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M2][][4VY9;^_K[W+_5ST;_A'M7_Z'KQ5_P" ?@C_ .8ZC_A'M7_Z'KQ5_P"
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ML_:M=TW4=%MO[.6Y\_5K"]TV+=>6L\,9[>?\M'_PGP__ ,J#V<>]3_P;5_\
MD_+\^['V^F:Y)XFU?33XY\4""TT+PY?1L+;P>7,NH:AXIMYE:-O"C6RJJ:9
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MNX)4_P#9J'Q^TIMVM2T]Q3U>EKK=H3IJ\+.I92][][4VY9;^_K[W+_5ST?\
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M/9Q[U/\ P;5_^3\OS[LY7_A'M7_Z'KQ5_P" ?@C_ .8ZC_A'M7_Z'KQ5_P"
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M2H(/ 7@W6I_%UWX ^+&G_%#XU_VYXZ?4K"[TSQ2_BC7_ (Y:+J=N/"5O8EO
M_AF_M]:\(^&/$5T_C"UT.;7].\/W.B\;J7[*GCY= N=!\*?&S3_#*6.@6GP[
M\'W8^'6LRWFB?"5_%LOB?Q'X/U34-$^*OAC6=1U[Q)9VOAWPK+XX\.:KX*U'
M2-"T>YN-%T^R\1:FFNZ?]MT4 ?*?A_X#_$;3/B+\/_%NI?$#X67OA'X<>%M*
M\+^%/AQI'P4\2>'M$\'"#3KW2-=UKP!Y?QQU#2_#NN:UH]S;^';/4=;\/>+K
MGPQX5M;CP]X?DM+3Q!XI;7/JRBB@ HHHH **** "OD_XB_L\>._B%XHUOQ%=
M?&5;"*#1=8T/X=6T'@:6#4?"6G^*/&WPA\;^)M/US7]%\:Z%J'B&QGG^$5GH
MOA^]\-#X>^,/#6E^(]7O+;Q?=^)K/0O$.E?6%% 'P_X*_8YN_#&EZ[:ZG\35
MU[4=<U?PCK$NIOX6U@RVTWAK]I3Q5^T9=0I<^(_B#XL\07R:G>^)SX7CNM8\
M1:EJENFFV^OZCJ&N7TDEK7;ZU^SSXH;QM\.M3\,?$J!OAS\/[D:Y%\/?BOI_
MQ0^-&H7WC6;57N)_&G_"=^)?CCI^JOJ>D:.(].\"Z?XAT[Q1H7@C59+WQ/IV
MF7.JMI8T?ZIHH ^&KS]DOQ[#X23PGX:^-FDZ+:V'A/X>_"72))_AKK<Y'P-^
M']SXCN5\"ZU<:#\6O"VN7GB3Q7'JNC:1XJ\=^']>\*-/H.@/9Z-X;T74=9O-
M7C]+M_@+XAN/&WPL\5:WXP\$?8/A6+:;0M+\(?":'P;J>E >";KP;J?@_P *
M>)(O&FKW.@?"767DL_$-]X!U.Q\3Z@VJZ=9P?\)>VE6&CZ?I7TU10 4444 %
M%%% !1110!\G_$7]GCQW\0O%&M^(KKXRK810:+K&A_#JV@\#2P:CX2T_Q1XV
M^$/C?Q-I^N:_HOC70M0\0V,\_P (K/1?#][X:'P]\8>&M+\1ZO>6WB^[\36>
MA>(=*X_P5^QS=^&-+UVUU/XFKKVHZYJ_A'6)=3?PMK!EMIO#7[2GBK]HRZA2
MY\1_$'Q9X@ODU.]\3GPO'=:QXBU+5+=--M]?U'4-<OI)+6ON"B@#Y6UK]GGQ
M0WC;X=:GX8^)4#?#GX?W(UR+X>_%?3_BA\:-0OO&LVJO<3^-/^$[\2_''3]5
M?4](T<1Z=X%T_P 0Z=XHT+P1JLE[XGT[3+G56TL:/P=Y^R7X]A\))X3\-?&S
M2=%M;#PG\/?A+I$D_P -=;G(^!OP_N?$=RO@76KC0?BUX6UR\\2>*X]5T;2/
M%7COP_KWA1I]!T![/1O#>BZCK-YJ\?W+10!\N:/^RWX7TOX@_#OXHQZG<Z5X
MK\)&>Y\2:;X/U/XB>&OAWXEOQ\/M/^'.F'1?AI/\2M;\*>#=+T?0M)TNUM=)
M@L]:CFL-/M+&ZN)FB%W7U'110 4444 %%%% !7RK\3?V??'/Q)\3:]K-Q\8D
MTS2TT3Q!IWP\TR'P(#JG@N[\51> H]<74O$>G>+M'NO$6A.?!=\^F6VEVG@_
MQ=I$GBS5+BS\=+>Z;X?N]+^JJ* /ACPS^QI>Z-I_C*'5OB@NM:EXPM]2B?4W
M\+Z]/-IS:G\1](^(DS+>>*OB1XP\2:FD=SI2Z:CZOXEO-0E0V]]=ZA<W%J4G
M[[Q7^SQXHOO%/@.\\)?$J"#P%X-UJ?Q==^ /BQI_Q0^-?]N>.GU*PN],\4OX
MHU_XY:+J=N/"5O8EO _AF_M]:\(^&/$5T_C"UT.;7].\/W.B_5-% 'Q)J7[*
MGCY= N=!\*?&S3_#*6.@6GP[\'W8^'6LRWFB?"5_%LOB?Q'X/U34-$^*OAC6
M=1U[Q)9VOAWPK+XX\.:KX*U'2-"T>YN-%T^R\1:FFNZ?W=I\ /$37_@*'5/&
M7@>#PAX,O_A_KG_")^"_A#;>#1;ZU\-;+4;'PY9^$-:7QIK-]X:\&^1-IT5W
MX<UF/QGJ:6=OJVD:7XHTS0M<DTNR^H** "BBB@ HHHH **** "BBB@ HHHH
M**** "BBB@ HHHH **** "BBB@ HHHH **** "BBB@ HHHH **** "BBB@ H
MHHH **** "BBB@ HHHH **** "BBB@ HHHH **** "BBB@ HHHH **** "BB
MB@ HHHH **** "BBB@ HHHH **** "BBB@ HHHH **** "BBB@ HHHH ****
M "BBB@ HHHH **** "BBB@ HHHH **** "BBB@ HHHH **** "BBB@ HHHH
M**** "BBB@ HHHH **** "BBB@ HHHH **** "BBB@ HHHH **** "BBB@ H
MHHH **** "BBB@ HHHH **** "BBB@ HHHH **** "BBB@ HHHH **** "BB
MB@ HHHH **** "BBB@ HHHH **** "BBB@ HHHH **** "BBB@ HHHH ****
# /_9

end
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>XML
<SEQUENCE>6
<FILENAME>R1.htm
<DESCRIPTION>IDEA: XBRL DOCUMENT
<TEXT>
<html>
<head>
<title></title>
<link rel="stylesheet" type="text/css" href="include/report.css">
<script type="text/javascript" src="Show.js">/* Do Not Remove This Comment */</script><script type="text/javascript">
							function toggleNextSibling (e) {
							if (e.nextSibling.style.display=='none') {
							e.nextSibling.style.display='block';
							} else { e.nextSibling.style.display='none'; }
							}</script>
</head>
<body>
<span style="display: none;">v3.25.3</span><table class="report" border="0" cellspacing="2" id="id2">
<tr>
<th class="tl" colspan="1" rowspan="1"><div style="width: 200px;"><strong>Submission<br></strong></div></th>
<th class="th"><div>Nov. 04, 2025</div></th>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_SubmissionLineItems', window );"><strong>Submission [Line Items]</strong></a></td>
<td class="text">&#160;<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_dei_EntityCentralIndexKey', window );">Central Index Key</a></td>
<td class="text">0000886982<span></span>
</td>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_dei_EntityRegistrantName', window );">Registrant Name</a></td>
<td class="text">The Goldman Sachs Group, Inc.<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_RegnFileNb', window );">Registration File Number</a></td>
<td class="text">333-284538<span></span>
</td>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_FormTp', window );">Form Type</a></td>
<td class="text">S-3<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_SubmissnTp', window );">Submission Type</a></td>
<td class="text">424B2<span></span>
</td>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_FeeExhibitTp', window );">Fee Exhibit Type</a></td>
<td class="text">EX-FILING FEES<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_OfferingTableNa', window );">Offering Table N/A</a></td>
<td class="text">N/A<span></span>
</td>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_OffsetTableNa', window );">Offset Table N/A</a></td>
<td class="text">N/A<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_CombinedProspectusTableNa', window );">Combined Prospectus Table N/A</a></td>
<td class="text">N/A<span></span>
</td>
</tr>
</table>
<div style="display: none;">
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_EntityCentralIndexKey">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- Definition</a><div><p>A unique 10-digit SEC-issued value to identify entities that have filed disclosures with the SEC. It is commonly abbreviated as CIK.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ References</a><div style="display: none;"><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Exchange Act<br> -Number 240<br> -Section 12<br> -Subsection b-2<br></p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_EntityCentralIndexKey</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>dei:centralIndexKeyItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_EntityRegistrantName">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- Definition</a><div><p>The exact name of the entity filing the report as specified in its charter, which is required by forms filed with the SEC.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ References</a><div style="display: none;"><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Exchange Act<br> -Number 240<br> -Section 12<br> -Subsection b-2<br></p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_EntityRegistrantName</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:normalizedStringItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_CombinedProspectusTableNa">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_CombinedProspectusTableNa</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:naItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_FeeExhibitTp">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_FeeExhibitTp</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:feeExhibitTypeItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_FormTp">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_FormTp</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:submissionTypeItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_OfferingTableNa">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_OfferingTableNa</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:naItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_OffsetTableNa">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_OffsetTableNa</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:naItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_RegnFileNb">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_RegnFileNb</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:fileNumberItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_SubmissionLineItems">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_SubmissionLineItems</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:stringItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_SubmissnTp">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_SubmissnTp</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:submissionTypeItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
</div>
</body>
</html>
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>XML
<SEQUENCE>7
<FILENAME>R2.htm
<DESCRIPTION>IDEA: XBRL DOCUMENT
<TEXT>
<html>
<head>
<title></title>
<link rel="stylesheet" type="text/css" href="include/report.css">
<script type="text/javascript" src="Show.js">/* Do Not Remove This Comment */</script><script type="text/javascript">
							function toggleNextSibling (e) {
							if (e.nextSibling.style.display=='none') {
							e.nextSibling.style.display='block';
							} else { e.nextSibling.style.display='none'; }
							}</script>
</head>
<body>
<span style="display: none;">v3.25.3</span><table class="report" border="0" cellspacing="2" id="id2">
<tr>
<th class="tl" colspan="1" rowspan="1"><div style="width: 200px;"><strong>Fees Summary<br></strong></div></th>
<th class="th">
<div>Nov. 04, 2025 </div>
<div>USD ($)</div>
</th>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_FeesSummaryLineItems', window );"><strong>Fees Summary [Line Items]</strong></a></td>
<td class="text">&#160;<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_NrrtvDsclsr', window );">Narrative Disclosure</a></td>
<td class="text"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:12pt;text-align:left;"><span style="color:#000000;white-space:pre-wrap;font-size:12pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">The prospectus to which this Exhibit is attached is a final prospectus for the related offering.  The maximum aggregate offering price for such offering is $</span><span style="font-size:12pt;font-family:Times New Roman;color:#000000;white-space:pre-wrap;font-kerning:none;min-width:fit-content;">3,680,000</span><span style="color:#000000;white-space:pre-wrap;font-size:12pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">.</span></p><span></span>
</td>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_NrrtvMaxAggtOfferingPric', window );">Narrative - Max Aggregate Offering Price</a></td>
<td class="nump">$ 3,680,000<span></span>
</td>
</tr>
</table>
<div style="display: none;">
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_FeesSummaryLineItems">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Securities Act<br> -Number 230<br></p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_FeesSummaryLineItems</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:stringItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_NrrtvDsclsr">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Securities Act<br> -Number 230<br></p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_NrrtvDsclsr</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>dtr-types:textBlockItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_NrrtvMaxAggtOfferingPric">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Securities Act<br> -Number 230<br></p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_NrrtvMaxAggtOfferingPric</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:nonNegative100TMonetary2ItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
</div>
</body>
</html>
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>XML
<SEQUENCE>8
<FILENAME>Show.js
<DESCRIPTION>IDEA: XBRL DOCUMENT
<TEXT>
// Edgar(tm) Renderer was created by staff of the U.S. Securities and Exchange Commission.  Data and content created by government employees within the scope of their employment are not subject to domestic copyright protection. 17 U.S.C. 105.
var Show={};Show.LastAR=null,Show.showAR=function(a,r,w){if(Show.LastAR)Show.hideAR();var e=a;while(e&&e.nodeName!='TABLE')e=e.nextSibling;if(!e||e.nodeName!='TABLE'){var ref=((window)?w.document:document).getElementById(r);if(ref){e=ref.cloneNode(!0);
e.removeAttribute('id');a.parentNode.appendChild(e)}}
if(e)e.style.display='block';Show.LastAR=e};Show.hideAR=function(){Show.LastAR.style.display='none'};Show.toggleNext=function(a){var e=a;while(e.nodeName!='DIV')e=e.nextSibling;if(!e.style){}else if(!e.style.display){}else{var d,p_;if(e.style.display=='none'){d='block';p='-'}else{d='none';p='+'}
e.style.display=d;if(a.textContent){a.textContent=p+a.textContent.substring(1)}else{a.innerText=p+a.innerText.substring(1)}}}
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>XML
<SEQUENCE>9
<FILENAME>report.css
<DESCRIPTION>IDEA: XBRL DOCUMENT
<TEXT>
/* Updated 2009-11-04 */
/* v2.2.0.24 */

/* DefRef Styles */
.report table.authRefData{
	background-color: #def;
	border: 2px solid #2F4497;
	font-size: 1em;
	position: absolute;
}

.report table.authRefData a {
	display: block;
	font-weight: bold;
}

.report table.authRefData p {
	margin-top: 0px;
}

.report table.authRefData .hide {
	background-color: #2F4497;
	padding: 1px 3px 0px 0px;
	text-align: right;
}

.report table.authRefData .hide a:hover {
	background-color: #2F4497;
}

.report table.authRefData .body {
	height: 150px;
	overflow: auto;
	width: 400px;
}

.report table.authRefData table{
	font-size: 1em;
}

/* Report Styles */
.pl a, .pl a:visited {
	color: black;
	text-decoration: none;
}

/* table */
.report {
	background-color: white;
	border: 2px solid #acf;
	clear: both;
	color: black;
	font: normal 8pt Helvetica, Arial, san-serif;
	margin-bottom: 2em;
}

.report hr {
	border: 1px solid #acf;
}

/* Top labels */
.report th {
	background-color: #acf;
	color: black;
	font-weight: bold;
	text-align: center;
}

.report th.void	{
	background-color: transparent;
	color: #000000;
	font: bold 10pt Helvetica, Arial, san-serif;
	text-align: left;
}

.report .pl {
	text-align: left;
	vertical-align: top;
	white-space: normal;
	width: 200px;
	white-space: normal; /* word-wrap: break-word; */
}

.report td.pl a.a {
	cursor: pointer;
	display: block;
	width: 200px;
	overflow: hidden;
}

.report td.pl div.a {
	width: 200px;
}

.report td.pl a:hover {
	background-color: #ffc;
}

/* Header rows... */
.report tr.rh {
	background-color: #acf;
	color: black;
	font-weight: bold;
}

/* Calendars... */
.report .rc {
	background-color: #f0f0f0;
}

/* Even rows... */
.report .re, .report .reu {
	background-color: #def;
}

.report .reu td {
	border-bottom: 1px solid black;
}

/* Odd rows... */
.report .ro, .report .rou {
	background-color: white;
}

.report .rou td {
	border-bottom: 1px solid black;
}

.report .rou table td, .report .reu table td {
	border-bottom: 0px solid black;
}

/* styles for footnote marker */
.report .fn {
	white-space: nowrap;
}

/* styles for numeric types */
.report .num, .report .nump {
	text-align: right;
	white-space: nowrap;
}

.report .nump {
	padding-left: 2em;
}

.report .nump {
	padding: 0px 0.4em 0px 2em;
}

/* styles for text types */
.report .text {
	text-align: left;
	white-space: normal;
}

.report .text .big {
	margin-bottom: 1em;
	width: 17em;
}

.report .text .more {
	display: none;
}

.report .text .note {
	font-style: italic;
	font-weight: bold;
}

.report .text .small {
	width: 10em;
}

.report sup {
	font-style: italic;
}

.report .outerFootnotes {
	font-size: 1em;
}
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>XML
<SEQUENCE>11
<FILENAME>FilingSummary.xml
<DESCRIPTION>IDEA: XBRL DOCUMENT
<TEXT>
<XML>
<?xml version='1.0' encoding='utf-8'?>
<FilingSummary>
  <Version>3.25.3</Version>
  <ProcessingTime/>
  <ReportFormat>html</ReportFormat>
  <ContextCount>1</ContextCount>
  <ElementCount>11</ElementCount>
  <EntityCount>1</EntityCount>
  <FootnotesReported>false</FootnotesReported>
  <SegmentCount>0</SegmentCount>
  <ScenarioCount>0</ScenarioCount>
  <TuplesReported>false</TuplesReported>
  <UnitCount>1</UnitCount>
  <MyReports>
    <Report instance="gs_exfilingfees.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R1.htm</HtmlFileName>
      <LongName>995210 - Document - Submission</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/ffd/role/document/submissionTable</Role>
      <ShortName>Submission</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>1</Position>
    </Report>
    <Report instance="gs_exfilingfees.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R2.htm</HtmlFileName>
      <LongName>995215 - Document - Fees Summary</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/ffd/role/document/feesSummaryTable</Role>
      <ShortName>Fees Summary</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>2</Position>
    </Report>
    <Report>
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <LongName>All Reports</LongName>
      <ReportType>Book</ReportType>
      <ShortName>All Reports</ShortName>
    </Report>
  </MyReports>
  <InputFiles>
    <File doctype="EX-FILING FEES" original="gs_exfilingfees.htm">gs_exfilingfees.htm</File>
  </InputFiles>
  <SupplementalFiles/>
  <BaseTaxonomies>
    <BaseTaxonomy items="2">http://xbrl.sec.gov/dei/2025</BaseTaxonomy>
    <BaseTaxonomy items="9">http://xbrl.sec.gov/ffd/2025</BaseTaxonomy>
  </BaseTaxonomies>
  <HasPresentationLinkbase>false</HasPresentationLinkbase>
  <HasCalculationLinkbase>false</HasCalculationLinkbase>
</FilingSummary>
</XML>
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>JSON
<SEQUENCE>13
<FILENAME>MetaLinks.json
<DESCRIPTION>IDEA: XBRL DOCUMENT
<TEXT>
{
 "version": "2.2",
 "instance": {
  "gs_exfilingfees.htm": {
   "dts": {
    "inline": {
     "local": [
      "gs_exfilingfees.htm"
     ]
    },
    "schema": {
     "remote": [
      "http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd",
      "http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd",
      "http://www.xbrl.org/2003/xl-2003-12-31.xsd",
      "http://www.xbrl.org/2003/xlink-2003-12-31.xsd",
      "http://www.xbrl.org/2005/xbrldt-2005.xsd",
      "http://www.xbrl.org/lrr/arcrole/deprecated-2009-12-16.xsd",
      "https://www.xbrl.org/dtr/type/2024-01-31/types.xsd",
      "https://xbrl.sec.gov/dei/2025/dei-2025.xsd",
      "https://xbrl.sec.gov/ffd/2025/ffd-2025.xsd"
     ]
    }
   },
   "keyStandard": 11,
   "keyCustom": 0,
   "axisStandard": 0,
   "axisCustom": 0,
   "memberStandard": 0,
   "memberCustom": 0,
   "hidden": {
    "total": 9,
    "http://xbrl.sec.gov/ffd/2025": 7,
    "http://xbrl.sec.gov/dei/2025": 2
   },
   "contextCount": 1,
   "entityCount": 1,
   "segmentCount": 0,
   "elementCount": 107,
   "unitCount": 1,
   "baseTaxonomies": {
    "http://xbrl.sec.gov/ffd/2025": 9,
    "http://xbrl.sec.gov/dei/2025": 2
   },
   "report": {
    "R1": {
     "role": "http://xbrl.sec.gov/ffd/role/document/submissionTable",
     "longName": "995210 - Document - Submission",
     "shortName": "Submission",
     "isDefault": "true",
     "groupType": "Fee_Exhibit",
     "subGroupType": "",
     "menuCat": "Cover",
     "order": "1",
     "firstAnchor": null,
     "uniqueAnchor": null
    },
    "R2": {
     "role": "http://xbrl.sec.gov/ffd/role/document/feesSummaryTable",
     "longName": "995215 - Document - Fees Summary",
     "shortName": "Fees Summary",
     "isDefault": "false",
     "groupType": "Fee_Exhibit",
     "subGroupType": "",
     "menuCat": "Cover",
     "order": "2",
     "firstAnchor": {
      "contextRef": "C_57629b37-f774-415f-9164-d6443ed8bc9c",
      "name": "ffd:NrrtvDsclsr",
      "unitRef": null,
      "xsiNil": "false",
      "lang": "en-US",
      "decimals": null,
      "ancestors": [
       "div",
       "div",
       "body",
       "html"
      ],
      "reportCount": 1,
      "baseRef": "gs_exfilingfees.htm",
      "first": true,
      "unique": true
     },
     "uniqueAnchor": {
      "contextRef": "C_57629b37-f774-415f-9164-d6443ed8bc9c",
      "name": "ffd:NrrtvDsclsr",
      "unitRef": null,
      "xsiNil": "false",
      "lang": "en-US",
      "decimals": null,
      "ancestors": [
       "div",
       "div",
       "body",
       "html"
      ],
      "reportCount": 1,
      "baseRef": "gs_exfilingfees.htm",
      "first": true,
      "unique": true
     }
    }
   },
   "tag": {
    "ffd_AggtRedRpPricFsclYr": {
     "xbrltype": "nonNegative1TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "AggtRedRpPricFsclYr",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/securities424iTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Aggregate Redeemed or Repurchased Price, Fiscal Year",
        "terseLabel": "Aggregate Redeemed or Repurchased, FY"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_AggtRedRpPricPrrFsclYr": {
     "xbrltype": "nonNegative1TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "AggtRedRpPricPrrFsclYr",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/securities424iTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Aggregate Redeemed or Repurchased Price, Prior Fiscal Year",
        "terseLabel": "Aggregate Redeemed or Repurchased, Prior FY"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_AggtSalesPricFsclYr": {
     "xbrltype": "nonNegative1TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "AggtSalesPricFsclYr",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/securities424iTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Aggregate Sales Price, Fiscal Year",
        "terseLabel": "Aggregate Sales Price"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_AmtRedCdts": {
     "xbrltype": "nonNegative1TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "AmtRedCdts",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/securities424iTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Amount of Redemption Credits",
        "terseLabel": "Redemption Credits"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_AmtSctiesRcvd": {
     "xbrltype": "nonNegativeDecimal2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "AmtSctiesRcvd",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Amount of Securities Received",
        "terseLabel": "Amount of Securities Received",
        "documentation": "Amount of securities to be received by the registrant (or cancelled upon issuance of securities to be registered on the form)"
       }
      }
     },
     "auth_ref": [
      "r6"
     ]
    },
    "ffd_AmtSctiesRegd": {
     "xbrltype": "nonNegativeDecimal2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "AmtSctiesRegd",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Amount of Securities Registered",
        "terseLabel": "Amount Registered",
        "documentation": "The amount of securities being registered."
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_CeasedOprsDt": {
     "xbrltype": "dateItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "CeasedOprsDt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/submissionTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Ceased Operations Date",
        "terseLabel": "Ceased Operations Date"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_CfwdFormTp": {
     "xbrltype": "formTypeItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "CfwdFormTp",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Carry Forward Form Type",
        "terseLabel": "Carry Forward Form Type",
        "documentation": "The Form Type of the prior shelf registration statement from which unsold securities are carried forward under 415(a)(6). This should be an EDGAR submission type (S-3, S-3/A, S-3ASR, etc.), which means there is a fixed set of possible responses. Note that while the XBRL response should be an EDGAR submission type, the human-readable Ex. 107 could include a simpler label (e.g., \"Form S-3\" in the human-readable and \"S-3ASR\" in the XBRL)."
       }
      }
     },
     "auth_ref": [
      "r2"
     ]
    },
    "ffd_CfwdPrevslyPdFee": {
     "xbrltype": "nonNegative1TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "CfwdPrevslyPdFee",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Carry Forward Previously Paid Fee",
        "terseLabel": "Filing Fee Previously Paid in Connection with Unsold Securities to be Carried Forward",
        "documentation": "The fee previously paid in connection with the securities being brought forward from the prior shelf registration statement on which unsold securities are carried forward under 415(a)(6)."
       }
      }
     },
     "auth_ref": [
      "r2"
     ]
    },
    "ffd_CfwdPrrFctvDt": {
     "xbrltype": "dateItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "CfwdPrrFctvDt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Carry Forward Prior Effective Date",
        "terseLabel": "Carry Forward Initial Effective Date",
        "documentation": "The initial effective date of the prior shelf registration statement from which unsold securities are carried forward under 415(a)(6)."
       }
      }
     },
     "auth_ref": [
      "r2"
     ]
    },
    "ffd_CfwdPrrFileNb": {
     "xbrltype": "fileNumberItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "CfwdPrrFileNb",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Carry Forward File Number",
        "terseLabel": "Carry Forward File Number",
        "documentation": "The EDGAR File Number of the prior shelf registration statement from which unsold securities are carried forward under 415(a)(6). If the prior registration statement has a Securities Act File Number and an Investment Company Act File Number, the Securities Act File Number should be used."
       }
      }
     },
     "auth_ref": [
      "r2"
     ]
    },
    "ffd_CmbndPrspctsItemAxis": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "CmbndPrspctsItemAxis",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesByCmbndPrspctsTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Combined Prospectus Item [Axis]",
        "terseLabel": "Combined Prospectus",
        "documentation": "A sequence number (1, 2, 3...) used to distinguish different references to earlier prospectuses on a single fee bearing submission."
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_CmbndPrspctsLineItems": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "CmbndPrspctsLineItems",
     "lang": {
      "en-us": {
       "role": {
        "label": "Combined Prospectus [Line Items]",
        "terseLabel": "Combined Prospectus:"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_CmbndPrspctsTable": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "CmbndPrspctsTable",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesByCmbndPrspctsTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Combined Prospectus [Table]",
        "terseLabel": "Combined Prospectus Table"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_CombinedProspectusTableNa": {
     "xbrltype": "naItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "CombinedProspectusTableNa",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/submissionTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Combined Prospectus Table [N/A]",
        "terseLabel": "Combined Prospectus Table N/A"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_CshPdByRegistrantInTx": {
     "xbrltype": "nonNegative100TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "CshPdByRegistrantInTx",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Cash Paid by Registrant in Transaction",
        "terseLabel": "Cash Consideration Paid",
        "documentation": "Amount of cash consideration paid by registrant in connection with the exchange or other transaction being registered (in a 457(f) calculation)."
       }
      }
     },
     "auth_ref": [
      "r12"
     ]
    },
    "ffd_CshRcvdByRegistrantInTx": {
     "xbrltype": "nonNegative100TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "CshRcvdByRegistrantInTx",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Cash Received by Registrant in Transaction",
        "terseLabel": "Cash Consideration Received",
        "documentation": "Amount of cash consideration received by registrant in connection with the exchange or other transaction being registered (in a 457(f) calculation)."
       }
      }
     },
     "auth_ref": [
      "r12"
     ]
    },
    "dei_EntityCentralIndexKey": {
     "xbrltype": "centralIndexKeyItemType",
     "nsuri": "http://xbrl.sec.gov/dei/2025",
     "localname": "EntityCentralIndexKey",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/submissionTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Entity Central Index Key",
        "terseLabel": "Central Index Key",
        "documentation": "A unique 10-digit SEC-issued value to identify entities that have filed disclosures with the SEC. It is commonly abbreviated as CIK."
       }
      }
     },
     "auth_ref": [
      "r0"
     ]
    },
    "dei_EntityRegistrantName": {
     "xbrltype": "normalizedStringItemType",
     "nsuri": "http://xbrl.sec.gov/dei/2025",
     "localname": "EntityRegistrantName",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/submissionTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Entity Registrant Name",
        "terseLabel": "Registrant Name",
        "documentation": "The exact name of the entity filing the report as specified in its charter, which is required by forms filed with the SEC."
       }
      }
     },
     "auth_ref": [
      "r0"
     ]
    },
    "ffd_FeeAmt": {
     "xbrltype": "nonNegative1TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "FeeAmt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable",
      "http://xbrl.sec.gov/ffd/role/document/securities424iTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Fee Amount",
        "terseLabel": "Amount of Registration Fee",
        "documentation": "Total amount of registration fee (amount due after offsets)."
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_FeeExhibitTp": {
     "xbrltype": "feeExhibitTypeItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "FeeExhibitTp",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/submissionTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Fee Exhibit Type",
        "terseLabel": "Fee Exhibit Type"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_FeeIntrstAmt": {
     "xbrltype": "nonNegative1TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "FeeIntrstAmt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesSummaryTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Fee Interest Amount",
        "terseLabel": "Interest Amount"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_FeeNote": {
     "xbrltype": "textBlockItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "FeeNote",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/securities424iTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Fee Note",
        "terseLabel": "Fee Note"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_FeeNoteMaxAggtOfferingPric": {
     "xbrltype": "nonNegative100TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "FeeNoteMaxAggtOfferingPric",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Fee Note Maximum Aggregate Offering Price",
        "terseLabel": "Fee Note MAOP"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_FeeRate": {
     "xbrltype": "percentItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "FeeRate",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable",
      "http://xbrl.sec.gov/ffd/role/document/securities424iTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Fee Rate",
        "terseLabel": "Fee Rate",
        "documentation": "The rate per dollar of fees that public companies and other issuers pay to register their securities with the Commission."
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_FeesOthrRuleFlg": {
     "xbrltype": "booleanItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "FeesOthrRuleFlg",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Fees, Other Rule [Flag]",
        "terseLabel": "Other Rule",
        "documentation": "Checkbox indicating whether filer is using a rule other than 457(a), 457(o), or 457(f) to calculate the registration fee due."
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_FeesSummaryLineItems": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "FeesSummaryLineItems",
     "lang": {
      "en-us": {
       "role": {
        "label": "Fees Summary [Line Items]",
        "terseLabel": "Fees Summary:"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_FnlPrspctsFlg": {
     "xbrltype": "booleanItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "FnlPrspctsFlg",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesSummaryTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Final Prospectus [Flag]",
        "terseLabel": "Final Prospectus"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_FormTp": {
     "xbrltype": "submissionTypeItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "FormTp",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/submissionTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Form Type",
        "terseLabel": "Form Type"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_GnlInstrIIhiFlg": {
     "xbrltype": "booleanItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "GnlInstrIIhiFlg",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "General Instruction II.H,I [Flag]",
        "terseLabel": "General Instruction II.H,I"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_IssrBizAdrCity": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "IssrBizAdrCity",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/submissionTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Issuer Business Address, City",
        "terseLabel": "City"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_IssrBizAdrStatOrCtryCd": {
     "xbrltype": "stateOrCountryCodeItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "IssrBizAdrStatOrCtryCd",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/submissionTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Issuer Business Address, State or Country Code",
        "terseLabel": "State or Country Code"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_IssrBizAdrStrt1": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "IssrBizAdrStrt1",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/submissionTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Issuer Business Address, Street 1",
        "terseLabel": "Street 1"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_IssrBizAdrStrt2": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "IssrBizAdrStrt2",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/submissionTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Issuer Business Address, Street 2",
        "terseLabel": "Street 2"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_IssrBizAdrZipCd": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "IssrBizAdrZipCd",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/submissionTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Issuer Business Address, Zip Code",
        "terseLabel": "Zip Code"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_IssrNm": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "IssrNm",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/submissionTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Issuer Name",
        "terseLabel": "Issuer Name"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_MaxAggtOfferingPric": {
     "xbrltype": "nonNegative100TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "MaxAggtOfferingPric",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Maximum Aggregate Offering Price",
        "terseLabel": "Maximum Aggregate Offering Price",
        "documentation": "The maximum aggregate offering price for the offering that is being registered."
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_MaxOfferingPricPerScty": {
     "xbrltype": "nonNegativeDecimal4lItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "MaxOfferingPricPerScty",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Maximum Offering Price per Security",
        "terseLabel": "Proposed Maximum Offering Price per Unit",
        "documentation": "The maximum offering price per share/unit being registered."
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_NetFeeAmt": {
     "xbrltype": "monetaryItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "NetFeeAmt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesSummaryTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Net Fee Amount",
        "terseLabel": "Net Fee"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_NetSalesAmt": {
     "xbrltype": "nonNegative1TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "NetSalesAmt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/securities424iTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Net Sales Amount",
        "terseLabel": "Net Sales"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_NrrtvDsclsr": {
     "xbrltype": "textBlockItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "NrrtvDsclsr",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesSummaryTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Narrative Disclosure",
        "terseLabel": "Narrative Disclosure"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_NrrtvMaxAggtAmt": {
     "xbrltype": "nonNegativeDecimal2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "NrrtvMaxAggtAmt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesSummaryTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Narrative Disclosure, Maximum Aggregate Offering Amount",
        "terseLabel": "Narrative - Max Aggregate Offering Amount"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_NrrtvMaxAggtOfferingPric": {
     "xbrltype": "nonNegative100TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "NrrtvMaxAggtOfferingPric",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesSummaryTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Narrative Disclosure, Maximum Aggregate Offering Price",
        "terseLabel": "Narrative - Max Aggregate Offering Price"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_OfferingAxis": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OfferingAxis",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offering [Axis]",
        "terseLabel": "Offering",
        "documentation": "A sequence number (1, 2, 3...) used to distinguish different security offerings on a single fee bearing submission."
       }
      }
     },
     "auth_ref": []
    },
    "ffd_OfferingLineItems": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OfferingLineItems",
     "lang": {
      "en-us": {
       "role": {
        "label": "Offering [Line Items]",
        "terseLabel": "Offering:"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_OfferingNote": {
     "xbrltype": "textBlockItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OfferingNote",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offering Note",
        "terseLabel": "Offering Note"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_OfferingSctyTitl": {
     "xbrltype": "securityTitleItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OfferingSctyTitl",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable",
      "http://xbrl.sec.gov/ffd/role/document/securities424iTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offering Security Title",
        "terseLabel": "Security Class Title",
        "documentation": "The title of the class of securities being registered (for each class being registered)."
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_OfferingSctyTp": {
     "xbrltype": "securityTypeItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OfferingSctyTp",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offering Security Type",
        "terseLabel": "Security Type",
        "documentation": "Type of securities: \"Asset-backed Securities\", \"ADRs/ADSs\", \"Debt\", \"Debt Convertible into Equity\", \"Equity\", \"Face Amount Certificates\", \"Limited Partnership Interests\", \"Mortgage Backed Securities\", \"Non-Convertible Debt\", \"Unallocated (Universal) Shelf\", \"Exchange Traded Vehicle Securities\", \"Other\""
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_OfferingTable": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OfferingTable",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offering [Table]",
        "terseLabel": "Offering:"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_OfferingTableNa": {
     "xbrltype": "naItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OfferingTableNa",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/submissionTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offering Table [N/A]",
        "terseLabel": "Offering Table N/A"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_OffsetAxis": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OffsetAxis",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offset [Axis]",
        "terseLabel": "Offset",
        "documentation": "A sequence number (1, 2, 3...) used to distinguish different offsets as applied to a fee bearing submission."
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_OffsetClmInitlFilgDt": {
     "xbrltype": "dateItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OffsetClmInitlFilgDt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offset Claim Initial Filing Date",
        "terseLabel": "Initial Filing Date",
        "documentation": "The initial filing date of the earlier registration statement with which the earlier (offsetting) fee was paid for a claimed offset. If the offset fee was paid with an amendment, do not provide the amendment date under this element; instead, provide the date of the initial filing (i.e. the \"parent\" filing) ."
       }
      }
     },
     "auth_ref": [
      "r5",
      "r8"
     ]
    },
    "ffd_OffsetClmdAmt": {
     "xbrltype": "nonNegative1TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OffsetClmdAmt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offset Claimed Amount",
        "terseLabel": "Fee Offset Claimed",
        "documentation": "The amount of offsetting fees being claimed."
       }
      }
     },
     "auth_ref": [
      "r5",
      "r8"
     ]
    },
    "ffd_OffsetClmdInd": {
     "xbrltype": "booleanItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OffsetClmdInd",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offset Claimed Indicator",
        "terseLabel": "Offset Claimed"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_OffsetExpltnForClmdAmt": {
     "xbrltype": "textBlockItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OffsetExpltnForClmdAmt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offset Explanation for Claimed Amount",
        "terseLabel": "Explanation for Claimed Amount"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_OffsetLineItems": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OffsetLineItems",
     "lang": {
      "en-us": {
       "role": {
        "terseLabel": "Offset:",
        "label": "Offset [Line Items]"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_OffsetNote": {
     "xbrltype": "textBlockItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OffsetNote",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offset Note",
        "terseLabel": "Offset Note"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_OffsetPrrFeeAmt": {
     "xbrltype": "nonNegative1TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OffsetPrrFeeAmt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offset Prior Fee Amount",
        "terseLabel": "Fee Paid with Fee Offset Source",
        "documentation": "The fee previously paid from which an offset is being derived."
       }
      }
     },
     "auth_ref": [
      "r5",
      "r8"
     ]
    },
    "ffd_OffsetPrrFileNb": {
     "xbrltype": "fileNumberItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OffsetPrrFileNb",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offset Prior File Number",
        "terseLabel": "File Number",
        "documentation": "The EDGAR File Number of the earlier registration statement with which the earlier (offsetting) fee was paid. If the offset filing for the offset has a Securities Act File Number and an Investment Company Act File Number, the Securities Act File Number should be used."
       }
      }
     },
     "auth_ref": [
      "r5",
      "r8"
     ]
    },
    "ffd_OffsetPrrFilerNm": {
     "xbrltype": "filerNameItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OffsetPrrFilerNm",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offset Prior Filer Name",
        "terseLabel": "Registrant or Filer Name",
        "documentation": "The name of the registrant that filed the earlier registration statement with which the earlier (offsetting) fee was paid."
       }
      }
     },
     "auth_ref": [
      "r5",
      "r8"
     ]
    },
    "ffd_OffsetPrrFormTp": {
     "xbrltype": "formTypeItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OffsetPrrFormTp",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offset Prior Form Type",
        "terseLabel": "Form or Filing Type",
        "documentation": "The Form Type of the offset filing."
       }
      }
     },
     "auth_ref": [
      "r5",
      "r8"
     ]
    },
    "ffd_OffsetPrrNbOfUnsoldScties": {
     "xbrltype": "nonNegativeIntegerItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OffsetPrrNbOfUnsoldScties",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offset Prior Unsold Number of Securities",
        "terseLabel": "Unsold Securities Associated with Fee Offset Claimed",
        "documentation": "The number of unsold securities registered on the prior registration statement that are associated with the claimed offset."
       }
      }
     },
     "auth_ref": [
      "r5",
      "r8"
     ]
    },
    "ffd_OffsetPrrSctyTitl": {
     "xbrltype": "securityTitleItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OffsetPrrSctyTitl",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offset Prior Security Title",
        "terseLabel": "Security Title Associated with Fee Offset Claimed",
        "documentation": "The title of the class of securities from which offset fees were derived."
       }
      }
     },
     "auth_ref": [
      "r5",
      "r8"
     ]
    },
    "ffd_OffsetPrrSctyTp": {
     "xbrltype": "securityTypeItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OffsetPrrSctyTp",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offset Prior Security Type",
        "terseLabel": "Security Type Associated with Fee Offset Claimed",
        "documentation": "Type of securities: \"Asset-backed Securities\", \"ADRs/ADSs\", \"Debt\", \"Debt Convertible into Equity\", \"Equity\", \"Face Amount Certificates\", \"Limited Partnership Interests\", \"Mortgage Backed Securities\", \"Non-Convertible Debt\", \"Unallocated (Universal) Shelf\", \"Exchange Traded Vehicle Securities\", \"Other\""
       }
      }
     },
     "auth_ref": [
      "r5",
      "r8"
     ]
    },
    "ffd_OffsetPrrUnsoldOfferingAmt": {
     "xbrltype": "nonNegative1TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OffsetPrrUnsoldOfferingAmt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offset Prior Unsold Offering Amount",
        "terseLabel": "Unsold Aggregate Offering Amount Associated with Fee Offset Claimed",
        "documentation": "The aggregate offering amount of unsold securities registered on the prior registration statement that are associated with the claimed offset."
       }
      }
     },
     "auth_ref": [
      "r5",
      "r8"
     ]
    },
    "ffd_OffsetSrcFilgDt": {
     "xbrltype": "dateItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OffsetSrcFilgDt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offset Source Filing Date",
        "terseLabel": "Filing Date",
        "documentation": "The filing date of the earlier registration statement with which the earlier (offsetting) fee was paid in an offset."
       }
      }
     },
     "auth_ref": [
      "r5",
      "r8"
     ]
    },
    "ffd_OffsetTable": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OffsetTable",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "terseLabel": "Offset Payment:",
        "label": "Offset [Table]"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_OffsetTableNa": {
     "xbrltype": "naItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "OffsetTableNa",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/submissionTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Offset Table [N/A]",
        "terseLabel": "Offset Table N/A"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_PrevslyPdFlg": {
     "xbrltype": "booleanItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "PrevslyPdFlg",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable",
      "http://xbrl.sec.gov/ffd/role/document/securities424iTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Fee Previously Paid [Flag]",
        "terseLabel": "Fee Previously Paid"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_RegnFileNb": {
     "xbrltype": "fileNumberItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "RegnFileNb",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/submissionTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Registration File Number",
        "terseLabel": "Registration File Number"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_RptgFsclYrEndDt": {
     "xbrltype": "dateItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "RptgFsclYrEndDt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/submissionTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Reporting Fiscal Year End Date",
        "terseLabel": "Reporting FY End Date"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_Rule011Flg": {
     "xbrltype": "booleanItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule011Flg",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 0-11 [Flag]",
        "terseLabel": "Rule 0-11"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_Rule011a2OffsetFlg": {
     "xbrltype": "booleanItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule011a2OffsetFlg",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "terseLabel": "Rule 0-11(a)(2) Offset",
        "label": "Rule 0-11(a)(2) Offset [Flag]"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_Rule415a6Flg": {
     "xbrltype": "booleanItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule415a6Flg",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 415(a)(6) [Flag]",
        "terseLabel": "Rule 415(a)(6)",
        "documentation": "Checkbox indicating whether filer is claiming a 415(a)(6) carryforward."
       }
      }
     },
     "auth_ref": [
      "r2"
     ]
    },
    "ffd_Rule429AggtOfferingAmt": {
     "xbrltype": "nonNegative100TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule429AggtOfferingAmt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesByCmbndPrspctsTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 429 Aggregate Offering Amount",
        "terseLabel": "Maximum Aggregate Offering Price of Securities Previously Registered",
        "documentation": "The maximum aggregate offering amount of unsold securities registered on the prior registration statement that are carried forward under Rule 429. Only applicable if 457(o) was used in the fee calculation for the prior registration statement."
       }
      }
     },
     "auth_ref": [
      "r3"
     ]
    },
    "ffd_Rule429CmbndPrspctsFlg": {
     "xbrltype": "booleanItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule429CmbndPrspctsFlg",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesByCmbndPrspctsTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 429 Combined Prospectus [Flag]",
        "terseLabel": "Rule 429",
        "documentation": "Checkbox indicating whether filer is using a combined prospectus under Rule 429."
       }
      }
     },
     "auth_ref": [
      "r3"
     ]
    },
    "ffd_Rule429EarlierFileNb": {
     "xbrltype": "fileNumberItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule429EarlierFileNb",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesByCmbndPrspctsTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 429 Earlier File Number",
        "terseLabel": "File Number",
        "documentation": "The Securities Act File Number of the earlier effective registration statement(s) from which securities may be offered and sold using the combined prospectus pursuant to Rule 429."
       }
      }
     },
     "auth_ref": [
      "r3"
     ]
    },
    "ffd_Rule429EarlierFormTp": {
     "xbrltype": "formTypeItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule429EarlierFormTp",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesByCmbndPrspctsTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 429 Earlier Form Type",
        "terseLabel": "Form Type",
        "documentation": "The Form Type of the earlier registration statement from which unsold securities are carried forward under Rule 429. This should be an EDGAR submission type (S-3, S-3/A, S-3ASR, etc.), which means there is a fixed set of possible responses. Note that while the XBRL response should be an EDGAR submission type, the human-readable Ex. 107 could include a simpler label (e.g., \"Form S-3\" in the human-readable and \"S-3ASR\" in the XBRL)."
       }
      }
     },
     "auth_ref": [
      "r3"
     ]
    },
    "ffd_Rule429InitlFctvDt": {
     "xbrltype": "dateItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule429InitlFctvDt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesByCmbndPrspctsTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 429 Initial Effective Date",
        "terseLabel": "Initial Effective Date",
        "documentation": "The filing date of the earlier registration statement from which unsold securities are carried forward under Rule 429."
       }
      }
     },
     "auth_ref": [
      "r3"
     ]
    },
    "ffd_Rule429NbOfUnsoldScties": {
     "xbrltype": "nonNegativeDecimal2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule429NbOfUnsoldScties",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesByCmbndPrspctsTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 429 Number Of Unsold Securities",
        "terseLabel": "Amount of Securities Previously Registered",
        "documentation": "The number of securities registered on the prior registration statement that are carried forward under Rule 429."
       }
      }
     },
     "auth_ref": [
      "r3"
     ]
    },
    "ffd_Rule429PrspctsNote": {
     "xbrltype": "textBlockItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule429PrspctsNote",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesByCmbndPrspctsTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 429 Prospectus Note",
        "terseLabel": "Combined Prospectus Note"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_Rule429SctyTitl": {
     "xbrltype": "securityTitleItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule429SctyTitl",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesByCmbndPrspctsTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 429 Security Title",
        "terseLabel": "Security Class Title"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_Rule429SctyTp": {
     "xbrltype": "securityTypeItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule429SctyTp",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesByCmbndPrspctsTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 429 Security Type",
        "terseLabel": "Security Type"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_Rule457aFlg": {
     "xbrltype": "booleanItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule457aFlg",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 457(a) [Flag]",
        "terseLabel": "Rule 457(a)",
        "documentation": "Checkbox indicating whether filer is using Rule 457(a) to calculate the registration fee due."
       }
      }
     },
     "auth_ref": [
      "r4"
     ]
    },
    "ffd_Rule457bOffsetFlg": {
     "xbrltype": "booleanItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule457bOffsetFlg",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 457(b) Offset [Flag]",
        "terseLabel": "Rule 457(b) Offset",
        "documentation": "Checkbox indicating whether filer is claiming an offset under Rule 457(b) or 0-11(a)(2)."
       }
      }
     },
     "auth_ref": [
      "r5"
     ]
    },
    "ffd_Rule457fFlg": {
     "xbrltype": "booleanItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule457fFlg",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 457(f) [Flag]",
        "terseLabel": "Rule 457(f)",
        "documentation": "Checkbox indicating whether filer is using Rule 457(f) to calculate the registration fee due."
       }
      }
     },
     "auth_ref": [
      "r6"
     ]
    },
    "ffd_Rule457oFlg": {
     "xbrltype": "booleanItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule457oFlg",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 457(o) [Flag]",
        "terseLabel": "Rule 457(o)",
        "documentation": "Checkbox indicating whether filer is using Rule 457(o) to calculate the registration fee due."
       }
      }
     },
     "auth_ref": [
      "r7"
     ]
    },
    "ffd_Rule457pOffsetFlg": {
     "xbrltype": "booleanItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule457pOffsetFlg",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 457(p) Offset [Flag]",
        "terseLabel": "Rule 457(p) Offset",
        "documentation": "Checkbox indicating whether filer is claiming an offset under Rule 457(p)."
       }
      }
     },
     "auth_ref": [
      "r8"
     ]
    },
    "ffd_Rule457rFlg": {
     "xbrltype": "booleanItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule457rFlg",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 457(r) [Flag]",
        "terseLabel": "Rule 457(r)"
       }
      }
     },
     "auth_ref": [
      "r9"
     ]
    },
    "ffd_Rule457sFlg": {
     "xbrltype": "booleanItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule457sFlg",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 457(s) Flag",
        "terseLabel": "Rule 457(s)"
       }
      }
     },
     "auth_ref": [
      "r10"
     ]
    },
    "ffd_Rule457uFlg": {
     "xbrltype": "booleanItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Rule457uFlg",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Rule 457(u) [Flag]",
        "terseLabel": "Rule 457(u)",
        "documentation": "Checkbox indicating whether filer is using Rule 457(u) to calculate the registration fee due."
       }
      }
     },
     "auth_ref": [
      "r11"
     ]
    },
    "ffd_Scties424iAxis": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Scties424iAxis",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/securities424iTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Securities, 424I [Axis]",
        "terseLabel": "Securities, 424I"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_Scties424iLineItems": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Scties424iLineItems",
     "lang": {
      "en-us": {
       "role": {
        "label": "Securities, 424I [Line Items]",
        "terseLabel": "Securities, 424I:"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_Scties424iTable": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Scties424iTable",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/securities424iTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Securities, 424I [Table]",
        "terseLabel": "Securities, 424I Table"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_Securities424iTableNa": {
     "xbrltype": "naItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "Securities424iNa",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/submissionTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Securities 424I [N/A]",
        "terseLabel": "Securities 424I N/A"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_SubmissionLineItems": {
     "xbrltype": "stringItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "SubmissionLineItems",
     "lang": {
      "en-us": {
       "role": {
        "label": "Submission [Line Items]",
        "terseLabel": "Items"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_SubmissnTp": {
     "xbrltype": "submissionTypeItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "SubmissnTp",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/submissionTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Submission Type",
        "terseLabel": "Submission Type"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_TermntnCmpltnWdrwl": {
     "xbrltype": "textBlockItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "TermntnCmpltnWdrwl",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOffsetTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Termination / Completion / Withdrawal Statement",
        "terseLabel": "Termination / Withdrawal Statement"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_TtlFeeAmt": {
     "xbrltype": "nonNegative1TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "TtlFeeAmt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesSummaryTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Total Fee Amount",
        "terseLabel": "Total Fee Amount"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_TtlFeeAndIntrstAmt": {
     "xbrltype": "nonNegativeDecimal2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "TtlFeeAndIntrstAmt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesSummaryTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Total Fee and Interest Amount",
        "terseLabel": "Total Fee and Interest Amount"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_TtlOfferingAmt": {
     "xbrltype": "nonNegative1TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "TtlOfferingAmt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesSummaryTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Total Offering Amount",
        "terseLabel": "Total Offering"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_TtlOffsetAmt": {
     "xbrltype": "nonNegative1TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "TtlOffsetAmt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesSummaryTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Total Offset Amount",
        "terseLabel": "Total Offset Amount"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_TtlPrevslyPdAmt": {
     "xbrltype": "nonNegative1TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "TtlPrevslyPdAmt",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesSummaryTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Total Previously Paid Amount",
        "terseLabel": "Previously Paid Amount"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_TtlTxValtn": {
     "xbrltype": "nonNegative100TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "TtlTxValtn",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesSummaryTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Total Transaction Valuation",
        "terseLabel": "Total Transaction Valuation"
       }
      }
     },
     "auth_ref": [
      "r1"
     ]
    },
    "ffd_TxValtn": {
     "xbrltype": "nonNegative100TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "TxValtn",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Transaction Valuation",
        "terseLabel": "Transaction Valuation"
       }
      }
     },
     "auth_ref": []
    },
    "ffd_ValSctiesRcvd": {
     "xbrltype": "nonNegative100TMonetary2ItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "ValSctiesRcvd",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Value of Securities Received",
        "terseLabel": "Value of Securities Received",
        "documentation": "Value of securities to be received by the registrant (or cancelled upon issuance of securities to be registered on the form)"
       }
      }
     },
     "auth_ref": [
      "r6"
     ]
    },
    "ffd_ValSctiesRcvdPerShr": {
     "xbrltype": "nonNegativeDecimal4lItemType",
     "nsuri": "http://xbrl.sec.gov/ffd/2025",
     "localname": "ValSctiesRcvdPerShr",
     "presentation": [
      "http://xbrl.sec.gov/ffd/role/document/feesOfferingTable"
     ],
     "lang": {
      "en-us": {
       "role": {
        "label": "Value of Securities Received, Per Share",
        "terseLabel": "Value of Securities Received, Per Share",
        "documentation": "Value per share of securities to be received by the registrant (or cancelled upon issuance of securities to be registered on the form). This is included in the explanation of 457(f) fee calculation."
       }
      }
     },
     "auth_ref": [
      "r6"
     ]
    }
   }
  }
 },
 "std_ref": {
  "r0": {
   "role": "http://www.xbrl.org/2003/role/presentationRef",
   "Publisher": "SEC",
   "Name": "Exchange Act",
   "Number": "240",
   "Section": "12",
   "Subsection": "b-2"
  },
  "r1": {
   "role": "http://www.xbrl.org/2003/role/presentationRef",
   "Publisher": "SEC",
   "Name": "Securities Act",
   "Number": "230"
  },
  "r2": {
   "role": "http://www.xbrl.org/2003/role/presentationRef",
   "Publisher": "SEC",
   "Name": "Securities Act",
   "Number": "230",
   "Section": "415",
   "Subsection": "a"
  },
  "r3": {
   "role": "http://www.xbrl.org/2003/role/presentationRef",
   "Publisher": "SEC",
   "Name": "Securities Act",
   "Number": "230",
   "Section": "429"
  },
  "r4": {
   "role": "http://www.xbrl.org/2003/role/presentationRef",
   "Publisher": "SEC",
   "Name": "Securities Act",
   "Number": "230",
   "Section": "457"
  },
  "r5": {
   "role": "http://www.xbrl.org/2003/role/presentationRef",
   "Publisher": "SEC",
   "Name": "Securities Act",
   "Number": "230",
   "Section": "457",
   "Subsection": "b"
  },
  "r6": {
   "role": "http://www.xbrl.org/2003/role/presentationRef",
   "Publisher": "SEC",
   "Name": "Securities Act",
   "Number": "230",
   "Section": "457",
   "Subsection": "f"
  },
  "r7": {
   "role": "http://www.xbrl.org/2003/role/presentationRef",
   "Publisher": "SEC",
   "Name": "Securities Act",
   "Number": "230",
   "Section": "457",
   "Subsection": "o"
  },
  "r8": {
   "role": "http://www.xbrl.org/2003/role/presentationRef",
   "Publisher": "SEC",
   "Name": "Securities Act",
   "Number": "230",
   "Section": "457",
   "Subsection": "p"
  },
  "r9": {
   "role": "http://www.xbrl.org/2003/role/presentationRef",
   "Publisher": "SEC",
   "Name": "Securities Act",
   "Number": "230",
   "Section": "457",
   "Subsection": "r"
  },
  "r10": {
   "role": "http://www.xbrl.org/2003/role/presentationRef",
   "Publisher": "SEC",
   "Name": "Securities Act",
   "Number": "230",
   "Section": "457",
   "Subsection": "s"
  },
  "r11": {
   "role": "http://www.xbrl.org/2003/role/presentationRef",
   "Publisher": "SEC",
   "Name": "Securities Act",
   "Number": "230",
   "Section": "457",
   "Subsection": "u"
  },
  "r12": {
   "role": "http://www.xbrl.org/2003/role/presentationRef",
   "Publisher": "SEC",
   "Name": "Securities Act",
   "Number": "230",
   "Subsection": "f",
   "Section": "457"
  }
 }
}
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>ZIP
<SEQUENCE>14
<FILENAME>0001193125-25-264344-xbrl.zip
<DESCRIPTION>IDEA: XBRL DOCUMENT
<TEXT>
begin 644 0001193125-25-264344-xbrl.zip
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M=SV:1&%,>1(F01Y%;GB/W7K^YSSOP-QP4< E?QGH2^?D6="D9+% 1.CQ4-*
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-  $ 00   )\'      $!

end
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>XML
<SEQUENCE>15
<FILENAME>gs_exfilingfees_htm.xml
<DESCRIPTION>IDEA: XBRL DOCUMENT
<TEXT>
<XML>
<?xml version="1.0" encoding="utf-8"?>
<xbrl
  xmlns="http://www.xbrl.org/2003/instance"
  xmlns:dei="http://xbrl.sec.gov/dei/2025"
  xmlns:ffd="http://xbrl.sec.gov/ffd/2025"
  xmlns:iso4217="http://www.xbrl.org/2003/iso4217"
  xmlns:link="http://www.xbrl.org/2003/linkbase"
  xmlns:xlink="http://www.w3.org/1999/xlink">
    <link:schemaRef
      xlink:href="https://xbrl.sec.gov/ffd/2025/ffd-2025.xsd"
      xlink:type="simple"/>
    <context id="C_57629b37-f774-415f-9164-d6443ed8bc9c">
        <entity>
            <identifier scheme="http://www.sec.gov/CIK">0000886982</identifier>
        </entity>
        <period>
            <startDate>2025-11-04</startDate>
            <endDate>2025-11-04</endDate>
        </period>
    </context>
    <unit id="U_USD">
        <measure>iso4217:USD</measure>
    </unit>
    <ffd:FormTp
      contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c"
      id="F_b9df40a5-e948-4d7b-b1ec-f76c487c8c78">S-3</ffd:FormTp>
    <dei:EntityCentralIndexKey
      contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c"
      id="F_7b1132db-8038-47c0-b55b-3132da500f65">0000886982</dei:EntityCentralIndexKey>
    <dei:EntityRegistrantName
      contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c"
      id="F_15b52df4-5b16-4c5e-b8ed-d99cad38ad99">The Goldman Sachs Group, Inc.</dei:EntityRegistrantName>
    <ffd:OffsetTableNa
      contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c"
      id="F_d34dc71c-0cef-4d12-8657-a8584f661599">N/A</ffd:OffsetTableNa>
    <ffd:OfferingTableNa
      contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c"
      id="F_cc07b4d1-315c-4039-9ed0-ed5bb3c38a32">N/A</ffd:OfferingTableNa>
    <ffd:SubmissnTp
      contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c"
      id="F_b9035ce5-a36f-42c9-85bd-e04f7bfae287">424B2</ffd:SubmissnTp>
    <ffd:RegnFileNb
      contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c"
      id="F_c97f5698-628d-486c-bb07-c39a4f1ee8dc">333-284538</ffd:RegnFileNb>
    <ffd:FeeExhibitTp
      contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c"
      id="F_f2ebf534-a8f0-4acf-abdc-1c7a70ac7c6b">EX-FILING FEES</ffd:FeeExhibitTp>
    <ffd:CombinedProspectusTableNa
      contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c"
      id="F_aa08b0ca-ce6d-4234-b6aa-2566044a4fa2">N/A</ffd:CombinedProspectusTableNa>
    <ffd:NrrtvDsclsr
      contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c"
      id="F_dd099d4a-f359-4b43-af57-2530b92ecea1">&lt;p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:12pt;text-align:left;"&gt;&lt;span style="color:#000000;white-space:pre-wrap;font-size:12pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"&gt;The prospectus to which this Exhibit is attached is a final prospectus for the related offering.  The maximum aggregate offering price for such offering is $&lt;/span&gt;&lt;span style="font-size:12pt;font-family:Times New Roman;color:#000000;white-space:pre-wrap;font-kerning:none;min-width:fit-content;"&gt;3,680,000&lt;/span&gt;&lt;span style="color:#000000;white-space:pre-wrap;font-size:12pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"&gt;.&lt;/span&gt;&lt;/p&gt;</ffd:NrrtvDsclsr>
    <ffd:NrrtvMaxAggtOfferingPric
      contextRef="C_57629b37-f774-415f-9164-d6443ed8bc9c"
      decimals="0"
      id="F_4356b2a4-64f6-496b-9b15-112e32a7bd0a"
      unitRef="U_USD">3680000</ffd:NrrtvMaxAggtOfferingPric>
</xbrl>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
