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                                                                   EXHIBIT 99(b)
 
            GUIDELINES FOR CERTIFICATION OF TAXPAYER IDENTIFICATION
                         NUMBER ON SUBSTITUTE FORM W-9
 
GUIDELINES FOR DETERMINING THE PROPER IDENTIFICATION NUMBER TO GIVE THE
PAYER.--Social Security numbers have nine digits separated by two hyphens: i.e.
000-00-0000. Employer identification numbers have nine digits separated by only
one hyphen: i.e. 00-0000000. The table below will help determine the number to
give the payer.
 


- ------------------------------------------------------------
                                         GIVE THE SOCIAL SE-
              FOR THIS TYPE OF ACCOUNT:  CURITY
                                         NUMBER OF--
- ------------------------------------------------------------
- ------------------------------------------------------------
                                         GIVE THE EMPLOYER
              FOR THIS TYPE OF ACCOUNT:  IDENTIFICATION
                                         NUMBER OF--
- ------------------------------------------------------------
                                   
 1.  Individual                          The individual
 2.  Two or more individuals (joint      The actual owner of
     account)                            the account or, if
                                         combined funds, the
                                         first individual on
                                         the account(1)
 3.  Custodian account of a minor        The minor(2)
     (Uniform Gift to Minors Act)
 4.  a. The usual revocable savings      The grantor-
        trust account (grantor is also   trustee(1)
        trustee)
     b. So-called trust account that is  The actual owner(1)
        not a legal or valid trust
        under State law
 5.  Sole proprietorship                 The owner(3)
- ------------------------------------------------------------
 6.  Sole proprietorship                 The owner(3)
 7.  A valid trust, estate, or pension   The legal entity(4)
     trust
 8.  Corporate                           The corporation
 9.  Association, club, religious,       The organization
     charitable, educational, or other
     tax-exempt organization account
10.  Partnership                         The partnership
11.  A broker or registered nominee      The broker or
                                         nominee
12.  Account with the Department of      The public entity
     Agriculture in the name of a
     public entity (such as a State or
     local government, school district,
     or prison) that receives
     agricultural program payments
- ------------------------------------------------------------

 
(1) List first and circle the name of the person whose number you furnish. If
    only one person on a joint account has a social security number, that
    person's number must be furnished.
(2) Circle the minor's name and furnish the minor's social security number.
(3) You must show your individual name, but you may also enter you business or
    "doing business as" name. You may use either your social security number or
    your employer identification number (if you have one).
(4) List first and circle the name of the legal trust, estate or pension trust.
    (Do not furnish the taxpayer identification number of the personal
    representative or trustee unless the legal entity itself is not designated
    in the account title.)
 
NOTE: If no name is circled when there is more than one name, the number will be
      considered to be that of the first name listed.
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            GUIDELINES FOR CERTIFICATION OF TAXPAYER IDENTIFICATION
                         NUMBER OF SUBSTITUTE FORM W-9
 
                                     PAGE 2
 
OBTAINING A NUMBER
If you don't have a taxpayer identification number or you don't know your
number, obtain Form SS-5. Application for a Social Security Number Card, or Form
SS-4, Application for Employer Identification Number, at the local office of the
Social Security Administration or the Internal Revenue Service and apply for a
number.
 
PAYEES EXEMPT FROM BACKUP WITHHOLDING
Payees specifically exempted from backup withholding include the following:
  - A corporation.
  - A financial institution.
  - An organization exempt from tax under section 501(a), an individual
    retirement plan or a custodial account under section 403(b)(7) if the
    account satisfies the requirements of section 401(f)(2).
  - The United States or any agency or instrumentality thereof.
  - A State, the District of Columbia, a possession of the United States, or any
    political subdivision or instrumentality thereof.
  - A foreign government or any political subdivision, agency or instrumentality
    thereof.
  - An international organization or any agency or instrumentality thereof.
  - A dealer in securities or commodities registered in the U.S. or a possession
    of the U.S.
  - A real estate investment trust.
  - A common trust fund operated by a bank under section 584(a).
  - An entity registered at all times during the tax year under the Investment
    Company Act of 1940.
  - A foreign central bank of issue.
  Payments of dividends and patronage dividends not generally subject to backup
withholding include the following:
  - Payments to nonresident aliens subject to withholding under section 1441.
  - Payments to partnerships not engaged in a trade or business in the U.S. and
    which have at least one non-resident alien partner.
  - Payments of patronage dividends where the amount received is not paid in
    money.
  - Payments made by certain foreign organizations.
  - Section 404(k) payments made by an ESOP.
  - Payments made to a nominee.
  Payments of interest not generally subject to backup withholding include the
following:
  - Payments of interest on obligations issued by individuals. Note: You may be
    subject to backup withholding if this interest is $600 or more and is paid
    in the course of the payer's trade or business and you have not provided
    your correct taxpayer identification number to the payer.
  - Payments of tax-exempt interest (including exempt-interest dividends under
    section 852).
  - Payments described in section 6049(b)(5) to non-resident aliens.
 
  - Payments on tax-free covenant bonds under section 1451.
  - Payments made by certain foreign organizations.
  - Mortgage interest paid to you.
  - Payments made to a nominee.
Exempt payees described above should file Form W-9 to avoid possible erroneous
backup withholding. FILE THIS FORM WITH THE PAYER, FURNISH YOUR TAXPAYER
IDENTIFICATION NUMBER, WRITE "EXEMPT" IN PART II OF THE FORM, AND RETURN IT TO
THE PAYER. IF THE PAYMENTS ARE INTEREST, DIVIDENDS, OR PATRONAGE DIVIDENDS, ALSO
SIGN AND DATE THE FORM.
 
  Certain payments other than interest, dividends, and patronage dividends, that
are not subject to information reporting are also not subject to backup
withholding. For details, see the regulations under sections 6041, 6041A(a),
6045, and 6050A.
 
PRIVACY ACT NOTICE.--Section 6109 requires most recipients of dividend,
interest, or other payments to give taxpayer identification numbers to payers
who must report the payments to IRS. IRS uses the numbers for identification
purposes. Payers must be given the number whether or not recipients are required
to file tax returns. Beginning January 1, 1993, payers must generally withhold
31% of taxable interest, dividend, and certain other payments to a payee who
does not furnish a taxpayer identification number to a payer. Certain penalties
may also apply.
 
PENALTIES
(1) PENALTY FOR FAILURE TO FURNISH TAXPAYER IDENTIFICATION NUMBER.--If you fail
to furnish your taxpayer identification number to a payer, you are subject to a
penalty of $50 for each such failure unless your failure is due to reasonable
cause and not to willful neglect.
(2) FAILURE TO REPORT CERTAIN DIVIDEND AND INTEREST PAYMENTS.--If you fail to
include any portion of an includible payment for interest, dividends, or
patronage dividends in gross income, such failure will be treated as being due
to negligence and will be subject to a penalty of 5% on any portion of an
underpayment attributable to that failure unless there is a clear and convincing
evidence to the contrary.
(3) CIVIL PENALTY FOR FALSE INFORMATION WITH RESPECT TO WITHHOLDING.--If you
make a false state with no reasonable basis which results in no imposition of
backup withholding, you are subject to a penalty of $500.
(4) CRIMINAL PENALTY FOR FALSIFYING INFORMATION.--Willfully falsifying
certifications or affirmations may subject you to criminal penalties including
fines and/or imprisonment.
 
                  FOR ADDITIONAL INFORMATION CONTACT YOUR TAX
                   CONSULTANT OR THE INTERNAL REVENUE SERVICE