<?xml version="1.0" encoding="utf-8"?>
<!--XBRL document created with Toppan Merrill Bridge  10.5.0.8 -->
<!--Based on XBRL 2.1-->
<!--Created on: 1/18/2024 4:18:17 PM-->
<!--Modified on: 1/18/2024 4:18:17 PM-->
<xsd:schema targetNamespace="http://www.amcon.com/20231231" attributeFormDefault="unqualified" elementFormDefault="qualified" xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:dit="http://www.amcon.com/20231231" xmlns:deprecated="http://www.xbrl.org/2009/role/deprecated" xmlns:currency="http://xbrl.sec.gov/currency/2023" xmlns:us-roles="http://fasb.org/us-roles/2023" xmlns:ref="http://www.xbrl.org/2006/ref" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xmlns:xl="http://www.xbrl.org/2003/XLink" xmlns:us-types="http://fasb.org/us-types/2023" xmlns:srt-roles="http://fasb.org/srt-roles/2023" xmlns:utr="http://www.xbrl.org/2009/utr" xmlns:us-gaap="http://fasb.org/us-gaap/2023" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:sic="http://xbrl.sec.gov/sic/2023" xmlns:stpr="http://xbrl.sec.gov/stpr/2023" xmlns:srt-types="http://fasb.org/srt-types/2023" xmlns:enum2="http://xbrl.org/2020/extensible-enumerations-2.0" xmlns:country="http://xbrl.sec.gov/country/2023" xmlns:net="http://www.xbrl.org/2009/role/net" xmlns:dei="http://xbrl.sec.gov/dei/2023" xmlns:naics="http://xbrl.sec.gov/naics/2023" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:dtr-types="http://www.xbrl.org/dtr/type/2022-03-31" xmlns:negated="http://www.xbrl.org/2009/role/negated" xmlns:exch="http://xbrl.sec.gov/exch/2023" xmlns:attributeFormDefault="unqualified" xmlns:srt="http://fasb.org/srt/2023" xmlns:xbrli="http://www.xbrl.org/2003/instance" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:dtr="http://www.xbrl.org/2009/dtr" xmlns:cef="http://xbrl.sec.gov/cef/2023" xmlns:xbrldi="http://xbrl.org/2006/xbrldi" xmlns:cef-pre="http://xbrl.sec.gov/cef-pre/2023" xmlns:ecd="http://xbrl.sec.gov/ecd/2023" xmlns:ecd-sub="http://xbrl.sec.gov/ecd-sub/2023">
  <xsd:annotation>
    <xsd:appinfo>
      <link:roleType roleURI="http://www.amcon.com/role/StatementCondensedConsolidatedBalanceSheets" id="StatementCondensedConsolidatedBalanceSheets">
        <link:definition>00100 - Statement - Condensed Consolidated Balance Sheets</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/StatementCondensedConsolidatedUnauditedStatementsOfOperations" id="StatementCondensedConsolidatedUnauditedStatementsOfOperations">
        <link:definition>00200 - Statement - Condensed Consolidated Unaudited Statements of Operations</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/StatementCondensedConsolidatedUnauditedStatementsOfCashFlows" id="StatementCondensedConsolidatedUnauditedStatementsOfCashFlows">
        <link:definition>00400 - Statement - Condensed Consolidated Unaudited Statements of Cash Flows</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureGoodwillAndOtherIntangibleAssetsAmortizationExpenseDetails" id="DisclosureGoodwillAndOtherIntangibleAssetsAmortizationExpenseDetails">
        <link:definition>40304 - Disclosure - GOODWILL AND OTHER INTANGIBLE ASSETS - Amortization Expense (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureEarningsPerShareDetails" id="DisclosureEarningsPerShareDetails">
        <link:definition>40501 - Disclosure - EARNINGS PER SHARE (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DocumentDocumentAndEntityInformation" id="DocumentDocumentAndEntityInformation">
        <link:definition>00090 - Document - Document and Entity Information</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/StatementCondensedConsolidatedBalanceSheetsParenthetical" id="StatementCondensedConsolidatedBalanceSheetsParenthetical">
        <link:definition>00105 - Statement - Condensed Consolidated Balance Sheets (Parenthetical)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/StatementCondensedConsolidatedUnauditedStatementsOfOperationsParenthetical" id="StatementCondensedConsolidatedUnauditedStatementsOfOperationsParenthetical">
        <link:definition>00205 - Statement - Condensed Consolidated Unaudited Statements of Operations (Parenthetical)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/StatementCondensedConsolidatedUnauditedStatementsOfShareholdersEquity" id="StatementCondensedConsolidatedUnauditedStatementsOfShareholdersEquity">
        <link:definition>00300 - Statement - Condensed Consolidated Unaudited Statements of Shareholders Equity</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/StatementCondensedConsolidatedUnauditedStatementsOfShareholdersEquityParenthetical" id="StatementCondensedConsolidatedUnauditedStatementsOfShareholdersEquityParenthetical">
        <link:definition>00305 - Statement - Condensed Consolidated Unaudited Statements of Shareholders Equity (Parenthetical)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureSummaryOfSignificantAccountingPoliciesAndBasisOfPresentation" id="DisclosureSummaryOfSignificantAccountingPoliciesAndBasisOfPresentation">
        <link:definition>10101 - Disclosure - SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES AND BASIS OF PRESENTATION</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureInventories" id="DisclosureInventories">
        <link:definition>10201 - Disclosure - INVENTORIES</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureGoodwillAndOtherIntangibleAssets" id="DisclosureGoodwillAndOtherIntangibleAssets">
        <link:definition>10301 - Disclosure - GOODWILL AND OTHER INTANGIBLE ASSETS</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureDividends" id="DisclosureDividends">
        <link:definition>10401 - Disclosure - DIVIDENDS</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureEarningsPerShare" id="DisclosureEarningsPerShare">
        <link:definition>10501 - Disclosure - EARNINGS PER SHARE</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureDebt" id="DisclosureDebt">
        <link:definition>10601 - Disclosure - DEBT</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureIncomeTaxes" id="DisclosureIncomeTaxes">
        <link:definition>10701 - Disclosure - INCOME TAXES</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureEquityBasedIncentiveAwards" id="DisclosureEquityBasedIncentiveAwards">
        <link:definition>10901 - Disclosure - EQUITY-BASED INCENTIVE AWARDS</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureBusinessSegments" id="DisclosureBusinessSegments">
        <link:definition>11001 - Disclosure - BUSINESS SEGMENTS</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureSummaryOfSignificantAccountingPoliciesAndBasisOfPresentationPolicies" id="DisclosureSummaryOfSignificantAccountingPoliciesAndBasisOfPresentationPolicies">
        <link:definition>20102 - Disclosure - SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES AND BASIS OF PRESENTATION (Policies)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureGoodwillAndOtherIntangibleAssetsTables" id="DisclosureGoodwillAndOtherIntangibleAssetsTables">
        <link:definition>30303 - Disclosure - GOODWILL AND OTHER INTANGIBLE ASSETS (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureEarningsPerShareTables" id="DisclosureEarningsPerShareTables">
        <link:definition>30503 - Disclosure - EARNINGS PER SHARE (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureEquityBasedIncentiveAwardsTables" id="DisclosureEquityBasedIncentiveAwardsTables">
        <link:definition>30903 - Disclosure - EQUITY-BASED INCENTIVE AWARDS (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureBusinessSegmentsTables" id="DisclosureBusinessSegmentsTables">
        <link:definition>31003 - Disclosure - BUSINESS SEGMENTS (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureSummaryOfSignificantAccountingPoliciesAndBasisOfPresentationDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesAndBasisOfPresentationDetails">
        <link:definition>40101 - Disclosure - SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES AND BASIS OF PRESENTATION (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureInventoriesDetails" id="DisclosureInventoriesDetails">
        <link:definition>40201 - Disclosure - INVENTORIES (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureGoodwillAndOtherIntangibleAssetsGoodwillDetails" id="DisclosureGoodwillAndOtherIntangibleAssetsGoodwillDetails">
        <link:definition>40301 - Disclosure - GOODWILL AND OTHER INTANGIBLE ASSETS - Goodwill (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureGoodwillAndOtherIntangibleAssetsOtherIntangibleAssetsDetails" id="DisclosureGoodwillAndOtherIntangibleAssetsOtherIntangibleAssetsDetails">
        <link:definition>40302 - Disclosure - GOODWILL AND OTHER INTANGIBLE ASSETS - Other Intangible Assets (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureGoodwillAndOtherIntangibleAssetsAdditionalInformationDetails" id="DisclosureGoodwillAndOtherIntangibleAssetsAdditionalInformationDetails">
        <link:definition>40303 - Disclosure - GOODWILL AND OTHER INTANGIBLE ASSETS - Additional Information (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureDividendsDetails" id="DisclosureDividendsDetails">
        <link:definition>40401 - Disclosure - DIVIDENDS (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureDebtCreditFacilitiesDetails" id="DisclosureDebtCreditFacilitiesDetails">
        <link:definition>40601 - Disclosure - DEBT - Credit Facilities (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureMandatorilyRedeemableNonControllingInterestDetails" id="DisclosureMandatorilyRedeemableNonControllingInterestDetails">
        <link:definition>40801 - Disclosure - MANDATORILY REDEEMABLE NON-CONTROLLING INTEREST (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureEquityBasedIncentiveAwardsOmnibusPlansDetails" id="DisclosureEquityBasedIncentiveAwardsOmnibusPlansDetails">
        <link:definition>40901 - Disclosure - EQUITY-BASED INCENTIVE AWARDS - Omnibus Plans (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureEquityBasedIncentiveAwardsAuthorizedAndApprovedRestrictedStockUnitsRestrictedStockAwardsDetails" id="DisclosureEquityBasedIncentiveAwardsAuthorizedAndApprovedRestrictedStockUnitsRestrictedStockAwardsDetails">
        <link:definition>40902 - Disclosure - EQUITY-BASED INCENTIVE AWARDS - Authorized and Approved Restricted Stock Units/Restricted Stock Awards (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureEquityBasedIncentiveAwardsRestrictedStockUnitsRestrictedStockAwardsActivityDetails" id="DisclosureEquityBasedIncentiveAwardsRestrictedStockUnitsRestrictedStockAwardsActivityDetails">
        <link:definition>40903 - Disclosure - EQUITY-BASED INCENTIVE AWARDS - Restricted Stock Units/Restricted Stock Awards Activity (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureBusinessSegmentsDetails" id="DisclosureBusinessSegmentsDetails">
        <link:definition>41001 - Disclosure - BUSINESS SEGMENTS (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureMandatorilyRedeemableNonControllingInterest" id="DisclosureMandatorilyRedeemableNonControllingInterest">
        <link:definition>10801 - Disclosure - MANDATORILY REDEEMABLE NON-CONTROLLING INTEREST</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureMandatorilyRedeemableNonControllingInterestTables" id="DisclosureMandatorilyRedeemableNonControllingInterestTables">
        <link:definition>30803 - Disclosure - MANDATORILY REDEEMABLE NON-CONTROLLING INTEREST (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:linkbaseRef xlink:type="simple" xlink:href="dit-20231231_pre.xml" xlink:role="http://www.xbrl.org/2003/role/presentationLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
      <link:linkbaseRef xlink:type="simple" xlink:href="dit-20231231_cal.xml" xlink:role="http://www.xbrl.org/2003/role/calculationLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
      <link:linkbaseRef xlink:type="simple" xlink:href="dit-20231231_def.xml" xlink:role="http://www.xbrl.org/2003/role/definitionLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
      <link:linkbaseRef xlink:type="simple" xlink:href="dit-20231231_lab.xml" xlink:role="http://www.xbrl.org/2003/role/labelLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
      <link:roleType roleURI="http://www.amcon.com/role/DisclosureStandardAndCustomAxisDomainDefaults" id="DisclosureStandardAndCustomAxisDomainDefaults">
        <link:definition>99900 - Disclosure - Standard And Custom Axis Domain Defaults</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
    </xsd:appinfo>
  </xsd:annotation>
  <xsd:import namespace="http://xbrl.sec.gov/ecd/2023" schemaLocation="https://xbrl.sec.gov/ecd/2023/ecd-2023.xsd" />
  <xsd:import namespace="http://xbrl.sec.gov/cef/2023" schemaLocation="https://xbrl.sec.gov/cef/2023/cef-2023.xsd" />
  <xsd:import namespace="http://xbrl.sec.gov/dei/2023" schemaLocation="https://xbrl.sec.gov/dei/2023/dei-2023.xsd" />
  <xsd:import namespace="http://www.xbrl.org/dtr/type/2022-03-31" schemaLocation="https://www.xbrl.org/dtr/type/2022-03-31/types.xsd" />
  <xsd:import namespace="http://www.xbrl.org/2009/role/negated" schemaLocation="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd" />
  <xsd:import namespace="http://fasb.org/us-roles/2023" schemaLocation="https://xbrl.fasb.org/us-gaap/2023/elts/us-roles-2023.xsd" />
  <xsd:import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd" />
  <xsd:import namespace="http://xbrl.org/2005/xbrldt" schemaLocation="http://www.xbrl.org/2005/xbrldt-2005.xsd" />
  <xsd:import namespace="http://www.xbrl.org/2009/role/net" schemaLocation="http://www.xbrl.org/lrr/role/net-2009-12-16.xsd" />
  <xsd:import namespace="http://fasb.org/us-gaap/2023" schemaLocation="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd" />
  <xsd:import namespace="http://fasb.org/srt/2023" schemaLocation="https://xbrl.fasb.org/srt/2023/elts/srt-2023.xsd" />
  <xsd:import namespace="http://xbrl.sec.gov/cef-pre/2023" schemaLocation="https://xbrl.sec.gov/cef/2023/cef-2023_pre.xsd" />
  <xsd:import namespace="http://xbrl.sec.gov/ecd-sub/2023" schemaLocation="https://xbrl.sec.gov/ecd/2023/ecd-sub-2023.xsd" />
  <xsd:element name="CigarettesMember" id="dit_CigarettesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="ConfectioneryMember" id="dit_ConfectioneryMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="ConvenienceStoreNewsRankingAssigned" id="dit_ConvenienceStoreNewsRankingAssigned" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="DividendsPaidDisclosureTextBlock" id="dit_DividendsPaidDisclosureTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="HealthFoodMember" id="dit_HealthFoodMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="NumberOfDistributionCenters" id="dit_NumberOfDistributionCenters" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="NumberOfProducts" id="dit_NumberOfProducts" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="NumberOfRetailOutletsServed" id="dit_NumberOfRetailOutletsServed" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="RetailSegmentMember" id="dit_RetailSegmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="ScheduleOfFiniteAndIndefiniteLivedIntangibleAssetsTableTextBlock" id="dit_ScheduleOfFiniteAndIndefiniteLivedIntangibleAssetsTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsDirectCostApplicableToRecipients" id="dit_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsDirectCostApplicableToRecipients" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:balance="debit" xbrli:periodType="duration" />
  <xsd:element name="ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodEstimatedFairValue" id="dit_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodEstimatedFairValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:balance="debit" xbrli:periodType="instant" />
  <xsd:element name="ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedFairValue" id="dit_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedFairValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:balance="debit" xbrli:periodType="instant" />
  <xsd:element name="ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedNetOfForfeitures" id="dit_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedNetOfForfeitures" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" />
  <xsd:element name="TobaccoFoodServiceAndOtherMember" id="dit_TobaccoFoodServiceAndOtherMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="WholesaleSegmentMember" id="dit_WholesaleSegmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="ProvisionRecoveriesForLossesOnInventoryObsolescence" id="dit_ProvisionRecoveriesForLossesOnInventoryObsolescence" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:balance="debit" xbrli:periodType="duration" />
  <xsd:element name="CorporateAndEliminationsMember" id="dit_CorporateAndEliminationsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="TobaccoMember" id="dit_TobaccoMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="NumberOfShareBasedIncentivePlans" id="dit_NumberOfShareBasedIncentivePlans" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" />
  <xsd:element name="SharesAwardedUnderOmnibusPlansMember" id="dit_SharesAwardedUnderOmnibusPlansMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="SpecialDividendsDeclaredOnCommonStock" id="dit_SpecialDividendsDeclaredOnCommonStock" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsScheduledToVestInFuture" id="dit_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsScheduledToVestInFuture" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" />
  <xsd:element name="LineOfCreditFacilityAverageBorrowingCapacity" id="dit_LineOfCreditFacilityAverageBorrowingCapacity" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:balance="credit" xbrli:periodType="duration" />
  <xsd:element name="LongTermDebtOtherThanCreditFacilityLessCurrentMaturities" id="dit_LongTermDebtOtherThanCreditFacilityLessCurrentMaturities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:balance="credit" xbrli:periodType="instant" />
  <xsd:element name="NumberOfStatesServed" id="dit_NumberOfStatesServed" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="TeamSleddMember" id="dit_TeamSleddMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="ShareBasedPaymentArrangementRestrictedStockAwardsAuthorizedAndApprovedTableTextBlock" id="dit_ShareBasedPaymentArrangementRestrictedStockAwardsAuthorizedAndApprovedTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="CashDividendMember" id="dit_CashDividendMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="SpecialDividendMember" id="dit_SpecialDividendMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="NumberOfCreditFacilitiesAgreements" id="dit_NumberOfCreditFacilitiesAgreements" type="xbrli:integerItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="instant" />
  <xsd:element name="LineOfCreditFacilityFinancialCovenantExcessCapacityAvailabilityFall" id="dit_LineOfCreditFacilityFinancialCovenantExcessCapacityAvailabilityFall" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:balance="debit" xbrli:periodType="duration" />
  <xsd:element name="LineOfCreditFacilityMaximumCreditAdvancesForCertainInventoryPurchases" id="dit_LineOfCreditFacilityMaximumCreditAdvancesForCertainInventoryPurchases" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="MandatorilyRedeemableNonControllingInterestCurrent" id="dit_MandatorilyRedeemableNonControllingInterestCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="MandatorilyRedeemableNonControllingInterestNoncurrent" id="dit_MandatorilyRedeemableNonControllingInterestNoncurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="ChangeInFairValueOfMandatorilyRedeemableNonControllingInterest" id="dit_ChangeInFairValueOfMandatorilyRedeemableNonControllingInterest" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="MandatorilyRedeemableNonControllingInterestTableTextBlock" id="dit_MandatorilyRedeemableNonControllingInterestTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="MandatorilyRedeemableNonControllingInterest" id="dit_MandatorilyRedeemableNonControllingInterest" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="DistributionsToMandatorilyRedeemableNonControllingInterest" id="dit_DistributionsToMandatorilyRedeemableNonControllingInterest" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="ChangeInMandatorilyRedeemableNoncontrollingInterest" id="dit_ChangeInMandatorilyRedeemableNoncontrollingInterest" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="MandatorilyRedeemableNonControllingInterestNoncurrentWithRoundingAdjustment" id="dit_MandatorilyRedeemableNonControllingInterestNoncurrentWithRoundingAdjustment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="FiniteLivedIntangibleAssetExpectedAmortizationYearFiveAndAfterYearFive" id="dit_FiniteLivedIntangibleAssetExpectedAmortizationYearFiveAndAfterYearFive" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="debit" />
  <xsd:element name="MandatorilyRedeemableNonControllingInterestTextBlock" id="dit_MandatorilyRedeemableNonControllingInterestTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="RestrictedStockAwardsOctober2021Member" id="dit_RestrictedStockAwardsOctober2021Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="RestrictedStockAwardsOctober2022Member" id="dit_RestrictedStockAwardsOctober2022Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="FacilitiesMember" id="dit_FacilitiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="RedemptionOfMandatorilyRedeemableNonControllingInterest" id="dit_RedemptionOfMandatorilyRedeemableNonControllingInterest" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="RestrictedStockAwardsOctober2023Member" id="dit_RestrictedStockAwardsOctober2023Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
</xsd:schema>
