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        <link:usedOn>link:calculationLink</link:usedOn>
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        <link:usedOn>link:calculationLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.xbrl.org/us/fr/lr/role/StatementChangesNetAssets" id="StatementChangesNetAssets">
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        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.xbrl.org/us/fr/lr/role/PortfolioInvestments" id="PortfolioInvestments">
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        <link:usedOn>link:calculationLink</link:usedOn>
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      <link:roleType roleURI="http://www.xbrl.org/us/fr/lr/role/GeneralFundInformation" id="GeneralFundInformation">
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        <link:usedOn>link:calculationLink</link:usedOn>
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        <link:usedOn>link:calculationLink</link:usedOn>
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      <link:roleType roleURI="http://www.xbrl.org/us/fr/lr/role/StatementOperations" id="StatementOperations">
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        <link:usedOn>link:calculationLink</link:usedOn>
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