Task: Table-QA (source dataset: FinQA)

Task: 
You are given a table containing structured data and a natural language question referring to the table. Your goal is to analyze the table and provide an accurate and concise answer based on the given data.

Instructions:
1. Understand the Table: Examine the structure, headers, and data in the table. Identify relevant columns and rows related to the question.
2. Interpret the Question: Determine whether the question requires direct retrieval, aggregation, comparison, sorting, filtering, or inference.
3. Extract the Answer: Use logical reasoning and numerical operations (if necessary) to derive the correct response from the table.
4. Format the Answer: No explanation, return the answer in a structured JSON format: {"answer": <answer>}. If the question cannot be answered due to missing or ambiguous data, return a JSON response with {"answer": null}.

Table:
| Unnamed: 0                                                              | 2011           | 2010           | 2009       |
|:------------------------------------------------------------------------|:---------------|:---------------|:-----------|
| balance at beginning of year                                            | 2728290        | 2330532        | 1824190    |
| granted                                                                 | 185333         | 400925         | 506342     |
| cancelled                                                               | -1167 ( 1167 ) | -3167 ( 3167 ) | 2014       |
| balance at end of year                                                  | 2912456        | 2728290        | 2330532    |
| vested during the year                                                  | 66299          | 153644         | 420050     |
| compensation expense recorded                                           | $ 17365401     | $ 15327206     | $ 23301744 |
| weighted average fair value of restricted stock granted during the year | $ 21768084     | $ 28269983     | $ 4979218  |

Question:
what percentage of the beginning balance of 2010 was vested during the year?


pre_text: sl green realty corp .
2011 annual reportnotes to consolidated financial statements plan were granted to certain employees , including our executives and vesting will occur annually upon the completion of a service period or our meeting established financial performance criteria .
annual vesting occurs at rates ranging from 15% ( 15 % ) to 35% ( 35 % ) once per- formance criteria are reached .
a summary of our restricted stock as of december a031 , 2011 , 2010 and 2009 and charges during the years then ended are presented below: .
post_text: compensation expense recorded $ 17365401 $ 15327206 $ 23301744 weighted average fair value of restricted stock granted during the year $ 21768084 $ 28269983 $ 4979218 the fair value of restricted stock that vested during the years ended december a031 , 2011 , 2010 and 2009 was $ 4.3 a0million , $ 16.6 a0million and $ 28.0 a0million , respectively .
as of december a031 , 2011 , there was $ 14.7 a0million of total unrecognized compensation cost related to unvested restricted stock , which is expected to be recognized over a weighted-average period of two years .
for the years ended december a031 , 2011 , 2010 and 2009 , approximately $ 3.4 a0million , $ 2.2 a0million and $ 1.7 a0million , respec- tively , was capitalized to assets associated with compensation expense related to our long- term compensation plans , restricted stock and stock options .
we granted ltip units which had a fair value of $ 8.5 a0million as part of the 2011 performance stock bonus award .
the grant date fair value of the ltip unit awards was calculated in accordance with asc 718 .
a third party consultant determined the fair value of the ltip units to have a discount from our unrestricted common stock price .
the discount was calculated by considering the inherent uncertainty that the ltip units will reach parity with other common partnership units and the illiquidity due to transfer restrictions .
2003 long- term outperformance compensation program our board of directors adopted a long- term , seven- year compen- sation program for certain members of senior management .
the a0program provided for restricted stock awards to be made to plan participants if the holders of our common equity achieved a total return in excess of 40% ( 40 % ) over a 48-month period commenc- ing april a01 , 2003 .
in april 2007 , the compensation committee determined that under the terms of the 2003 outperformance plan , as of march a031 , 2007 , the performance hurdles had been met and the maximum performance pool of $ 22825000 , taking into account forfeitures , was established .
in connection with this event , approximately 166312 shares of restricted stock ( as adjusted for forfeitures ) were allocated under the 2005 plan .
in accordance with the terms of the program , 40% ( 40 % ) of each award vested on march a031 , 2007 and the remainder vested ratably over the subsequent three years based on continued employment .
the fair value of the awards under this program on the date of grant was determined to be $ 3.2 a0million .
this fair value is expensed over the term of the restricted stock award .
forty percent of the value of the award was amortized over four years from the date of grant and the balance was amortized , in equal parts , over five , six and seven years ( i.e. , 20% ( 20 % ) of the total value was amortized over five years ( 20% ( 20 % ) per year ) , 20% ( 20 % ) of the total value was amortized over six years ( 16.67% ( 16.67 % ) per year ) and 20% ( 20 % ) of the total value was amortized over seven years ( 14.29% ( 14.29 % ) per year ) .
we recorded compensation expense of $ 23000 and $ 0.1 a0million related to this plan during the years ended december a031 , 2010 and 2009 , respectively .
the cost of the 2003 outperformance plan had been fully expensed as of march a031 , 2010 .
2005 long- term outperformance compensation program in december 2005 , the compensation committee of our board of directors approved a long- term incentive compensation program , the 2005 outperformance plan .
participants in the 2005 outperformance plan were entitled to earn ltip units in our operating partnership if our total return to stockholders for the three- year period beginning december a01 , 2005 exceeded a cumulative total return to stockholders of 30% ( 30 % ) ; provided that par- ticipants were entitled to earn ltip units earlier in the event that we achieved maximum performance for 30 consecutive days .
the total number of ltip units that could be earned was to be a number having an assumed value equal to 10% ( 10 % ) of the outperformance amount in excess of the 30% ( 30 % ) benchmark , subject to a maximum dilution cap equal to the lesser of 3% ( 3 % ) of our outstanding shares and units of limited partnership interest as of december a01 , 2005 or $ 50.0 a0million .
on june a014 , 2006 , the compensation committee determined that under the terms of the a02005 outperformance plan , as of june a08 , 2006 , the performance period had accelerated and the maximum performance pool of $ 49250000 , taking into account forfeitures , had been earned .
under the terms of the 2005 outperformance plan , participants also earned additional ltip units with a value equal to the distributions that would have been paid with respect to the ltip units earned if such ltip units had been earned at the beginning of the performance period .
the total number of ltip units earned under the 2005 outperformance plan by all participants as of june a08 , 2006 was 490475 .
under the terms of the 2005 outperformance plan , all ltip units that were earned remained subject to time- based vesting , with one- third of the ltip units earned vested on each of november a030 , 2008 and the first two anniversaries thereafter based on continued employment .
the earned ltip units received regular quarterly distributions on a per unit basis equal to the dividends per share paid on our common stock , whether or not they were vested .
the cost of the 2005 outperformance plan ( approximately $ 8.0 a0million , subject to adjustment for forfeitures ) was amortized into earnings through the final vesting period .
we recorded approximately $ 1.6 a0million and $ 2.3 a0million of compensation expense during the years ended december a031 , 2010 and 2009 , respectively , in connection with the 2005 outperformance plan .
the cost of the 2005 outperformance plan had been fully expensed as of june a030 , 2010 .
2006 long- term outperformance compensation program on august a014 , 2006 , the compensation committee of our board of directors approved a long- term incentive compensation program , a0the 2006 outperformance plan .
the performance criteria under the 2006 outperformance plan were not met and , accordingly , no ltip units were earned under the 2006 outperformance plan .
the cost of the 2006 outperformance plan ( approximately $ 16.4 a0million , subject to adjustment for forfeitures ) was amortized into earnings through july a031 , 2011 .
we recorded approximately $ 70000 , $ 0.2 a0million and $ 0.4 a0million of compensation expense during the years ended december a031 , 2011 , 2010 and 2009 , respectively , in connection with the 2006 outperformance plan. .
label: 0.06593
qa: answer: 7%
ann_table_rows: 1
5
ann_text_rows: 3
steps: op: divide2-1
arg1: 153644
arg2: 2330532
res: 0.07
program: divide(153644, 2330532)
gold_inds: table_1: the balance at beginning of year of 2011 is 2728290 ; the balance at beginning of year of 2010 is 2330532 ; the balance at beginning of year of 2009 is 1824190 ;
table_5: the vested during the year of 2011 is 66299 ; the vested during the year of 2010 is 153644 ; the vested during the year of 2009 is 420050 ;
text_3: a summary of our restricted stock as of december a031 , 2011 , 2010 and 2009 and charges during the years then ended are presented below: .
exe_ans: 0.06593
program_re: divide(153644, 2330532)
model_input: table_1
the balance at beginning of year of 2011 is 2728290 ; the balance at beginning of year of 2010 is 2330532 ; the balance at beginning of year of 2009 is 1824190 ;
table_4
the balance at end of year of 2011 is 2912456 ; the balance at end of year of 2010 is 2728290 ; the balance at end of year of 2009 is 2330532 ;
table_5
the vested during the year of 2011 is 66299 ; the vested during the year of 2010 is 153644 ; the vested during the year of 2009 is 420050 ;