contractual obligations in 2011 , we issued $ 1200 million of senior notes and entered into the credit facility with third-party lenders in the amount of $ 1225 million .
as of december 31 , 2011 , total outstanding long-term debt was $ 1859 million , consisting of these senior notes and the credit facility , in addition to $ 105 million of third party debt that remained outstanding subsequent to the spin-off .
in connection with the spin-off , we entered into a transition services agreement with northrop grumman , under which northrop grumman or certain of its subsidiaries provides us with certain services to help ensure an orderly transition following the distribution .
under the transition services agreement , northrop grumman provides , for up to 12 months following the spin-off , certain enterprise shared services ( including information technology , resource planning , financial , procurement and human resource services ) , benefits support services and other specified services .
the original term of the transition services agreement ends on march 31 , 2012 , although we have the right to and have cancelled certain services as we transition to new third-party providers .
the services provided by northrop grumman are charged to us at cost , and a limited number of these services may be extended for a period of approximately six months to allow full information systems transition .
see note 20 : related party transactions and former parent company equity in item 8 .
in connection with the spin-off , we entered into a tax matters agreement with northrop grumman ( the 201ctax matters agreement 201d ) that governs the respective rights , responsibilities and obligations of northrop grumman and us after the spin-off with respect to tax liabilities and benefits , tax attributes , tax contests and other tax sharing regarding u.s .
federal , state , local and foreign income taxes , other taxes and related tax returns .
we have several liabilities with northrop grumman to the irs for the consolidated u.s .
federal income taxes of the northrop grumman consolidated group relating to the taxable periods in which we were part of that group .
however , the tax matters agreement specifies the portion of this tax liability for which we will bear responsibility , and northrop grumman has agreed to indemnify us against any amounts for which we are not responsible .
the tax matters agreement also provides special rules for allocating tax liabilities in the event that the spin-off , together with certain related transactions , is not tax-free .
see note 20 : related party transactions and former parent company equity in item 8 .
we do not expect either the transition services agreement or the tax matters agreement to have a significant impact on our financial condition and results of operations .
the following table presents our contractual obligations as of december 31 , 2011 , and the related estimated timing of future cash payments : ( $ in millions ) total 2012 2013 - 2014 2015 - 2016 2017 and beyond .

($ in millions)
Total
2012
2013 - 2014
2015 - 2016
2017 and beyond
Long-term debt
$1,859
$29
$129
$396
$1,305
Interest payments on long-term debt (1)
854
112
219
202
321
Operating leases
124
21
32
23
48
Purchase obligations (2)
2,425
1,409
763
209
44
Other long-term liabilities (3)
587
66
96
67
358
Total contractual obligations
$5,849
$1,637
$1,239
$897
$2,076

( 1 ) interest payments include interest on $ 554 million of variable interest rate debt calculated based on interest rates at december 31 , 2011 .
( 2 ) a 201cpurchase obligation 201d is defined as an agreement to purchase goods or services that is enforceable and legally binding on us and that specifies all significant terms , including : fixed or minimum quantities to be purchased ; fixed , minimum , or variable price provisions ; and the approximate timing of the transaction .
these amounts are primarily comprised of open purchase order commitments to vendors and subcontractors pertaining to funded contracts .
( 3 ) other long-term liabilities primarily consist of total accrued workers 2019 compensation reserves , deferred compensation , and other miscellaneous liabilities , of which $ 201 million is the current portion of workers 2019 compensation liabilities .
it excludes obligations for uncertain tax positions of $ 9 million , as the timing of the payments , if any , cannot be reasonably estimated .
the above table excludes retirement related contributions .
in 2012 , we expect to make minimum and discretionary contributions to our qualified pension plans of approximately $ 153 million and $ 65 million , respectively , exclusive of any u.s .
government recoveries .
we will continue to periodically evaluate whether to make additional discretionary contributions .
in 2012 , we expect to make $ 35 million in contributions for our other postretirement plans , exclusive of any .

Question: Analyse this data from a financial earnings document. in 2012 what is the ratio of the minimum to the discretionary contributions to our qualified pension plans
Choices:
2.31818
0.20052
1.98462
0.03077
2.35385
Correct choice index: 4