Task: Table-QA (source dataset: TableBench)

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:
| region                               |   total population |   manchu | percentage in manchu population   |   regional percentage of population |
|:-------------------------------------|-------------------:|---------:|:----------------------------------|------------------------------------:|
| total                                |         1335110869 | 10410585 | 100                               |                                0.77 |
| total (in all 31 provincial regions) |         1332810869 | 10387958 | 99.83                             |                                0.78 |
| northeast                            |          109513129 |  6951280 | 66.77                             |                                6.35 |
| north                                |          164823663 |  3002873 | 28.84                             |                                1.82 |
| east                                 |          392862229 |   122861 | 1.18                              |                                0.03 |
| south central                        |          375984133 |   120424 | 1.16                              |                                0.03 |
| northwest                            |           96646530 |    82135 | 0.79                              |                                0.08 |
| southwest                            |          192981185 |    57785 | 0.56                              |                                0.03 |
| liaoning                             |           43746323 |  5336895 | 51.26                             |                               12.2  |
| hebei                                |           71854210 |  2118711 | 20.35                             |                                2.95 |
| jilin                                |           27452815 |   866365 | 8.32                              |                                3.16 |
| heilongjiang                         |           38313991 |   748020 | 7.19                              |                                1.95 |
| inner mongolia                       |           24706291 |   452765 | 4.35                              |                                2.14 |
| beijing                              |           19612368 |   336032 | 3.23                              |                                1.71 |
| tianjin                              |           12938693 |    83624 | 0.80                              |                                0.65 |
| henan                                |           94029939 |    55493 | 0.53                              |                                0.06 |
| shandong                             |           95792719 |    46521 | 0.45                              |                                0.05 |
| guangdong                            |          104320459 |    29557 | 0.28                              |                                0.03 |
| shanghai                             |           23019196 |    25165 | 0.24                              |                                0.11 |
| ningxia                              |            6301350 |    24902 | 0.24                              |                                0.4  |
| guizhou                              |           34748556 |    23086 | 0.22                              |                                0.07 |
| xinjiang                             |           21815815 |    18707 | 0.18                              |                                0.09 |
| jiangsu                              |           78660941 |    18074 | 0.17                              |                                0.02 |
| shaanxi                              |           37327379 |    16291 | 0.16                              |                                0.04 |
| sichuan                              |           80417528 |    15920 | 0.15                              |                                0.02 |
| gansu                                |           25575263 |    14206 | 0.14                              |                                0.06 |
| yunnan                               |           45966766 |    13490 | 0.13                              |                                0.03 |
| hubei                                |           57237727 |    12899 | 0.12                              |                                0.02 |
| shanxi                               |           25712101 |    11741 | 0.11                              |                                0.05 |
| zhejiang                             |           54426891 |    11271 | 0.11                              |                                0.02 |
| guangxi                              |           46023761 |    11159 | 0.11                              |                                0.02 |
| anhui                                |           59500468 |     8516 | 0.08                              |                                0.01 |
| fujian                               |           36894217 |     8372 | 0.08                              |                                0.02 |
| qinghai                              |            5626723 |     8029 | 0.08                              |                                0.14 |
| hunan                                |           65700762 |     7566 | 0.07                              |                                0.01 |
| jiangxi                              |           44567797 |     4942 | 0.05                              |                                0.01 |
| chongqing                            |           28846170 |     4571 | 0.04                              |                                0.02 |
| hainan                               |            8671485 |     3750 | 0.04                              |                                0.04 |
| tibet                                |            3002165 |      718 | <0.01                             |                                0.02 |
| active servicemen                    |            2300000 |    22627 | 0.24                              |                                1.05 |

Question:
What is the minimum percentage increase in the Manchu population required in the "north" region to surpass the total Manchu population in the "liaoning" region, assuming the total population in both regions remains constant?


id: 1c199a20dd01cf16dfb6eaaa838339ba
qtype: NumericalReasoning
label: 78