Task: Arithmetic-Relationship (source dataset: Auto-Relate)

You are given a table with numerical values in multiple columns. Your task is to analyze the data and identify semantic relationships, expressed in arithmetic relationships, that exist between columns.

These relationships may involve any combination of the following operations: addition (+), subtraction (−), multiplication (*), and division (/). The expressions can involve two or more columns and may be nested (e.g., B = (A + C) / D).

Please only identify arithmetic relationships that hold semantically based on the data, and do not return relationships that are likely spurious, e.g., (A = B * 0), where A is an all 0 column. Please only return minimal atomic relationships, e.g., if A = B + C and D = E + F, then there is no need to return A = B + C + E + F - D.

No explanation, return all the formula(s) in JSON format: {"Arithmetic-Relationship": [<list-of-formulas>]}. If no relationship is found, return {"Arithmetic-Relationship": []}.

Input Table:
| B                                            |         C |         D |         E |
|:---------------------------------------------|----------:|----------:|----------:|
| Australia                                    | 453729    | 406269    | -47460    |
| Sudan (former)                               | 131352    |  96719.4  | -34632.6  |
| Iran (Islamic Republic of)                   |  63687    |  45953.2  | -17733.8  |
| Mongolia                                     | 130282    | 112936    | -17345.5  |
| China                                        | 523995    | 515358    |  -8637.3  |
| United States of America                     | 413887    | 408205    |  -5682.31 |
| Poland                                       |  18435    |  14424    |  -4011    |
| New Zealand                                  |  14903    |  11116    |  -3787    |
| Spain                                        |  29778    |  26578    |  -3200    |
| Italy                                        |  15799    |  13162    |  -2637    |
| Ecuador                                      |   8075    |   5601.7  |  -2473.3  |
| Canada                                       |  67723    |  65256    |  -2467    |
| Serbia and Montenegro                        |   5600    |   3736.72 |  -1863.28 |
| Turkey                                       |  40302    |  38561    |  -1741    |
| Turkmenistan                                 |  35540    |  33838    |  -1702    |
| India                                        | 181021    | 179600    |  -1421    |
| South Africa                                 |  98058    |  96841    |  -1217    |
| France                                       |  29929.1  |  28766.5  |  -1162.6  |
| Romania                                      |  14781    |  13830    |   -951    |
| Hungary                                      |   6186    |   5346    |   -840    |
| Colombia                                     |  45668    |  44913.4  |   -754.6  |
| Japan                                        |   5271    |   4519    |   -752    |
| Bulgaria                                     |   5679    |   4977    |   -702    |
| Belarus                                      |   9281    |   8632    |   -649    |
| Guatemala                                    |   4440    |   3793.8  |   -646.2  |
| Uzbekistan                                   |  27333    |  26770    |   -563    |
| Lithuania                                    |   3496    |   2952.4  |   -543.6  |
| Croatia                                      |   2032    |   1508.8  |   -523.2  |
| Slovakia                                     |   2443    |   1924.6  |   -518.4  |
| Uruguay                                      |  14954    |  14449.6  |   -504.4  |
| Pakistan                                     |  36756    |  36252    |   -504    |
| Greece                                       |   8670    |   8175    |   -495    |
| Georgia                                      |   2999    |   2557.4  |   -441.6  |
| Germany                                      |  17152    |  16725    |   -427    |
| Bangladesh                                   |   9486    |   9099    |   -387    |
| Cuba                                         |   6660    |   6278.91 |   -381.09 |
| Senegal                                      |   9112    |   8868    |   -244    |
| Austria                                      |   2955.2  |   2714.2  |   -241    |
| Republic of Korea                            |   1954    |   1748.3  |   -205.7  |
| Ukraine                                      |  41453    |  41272    |   -181    |
| Kyrgyzstan                                   |  10726    |  10557.1  |   -168.9  |
| Portugal                                     |   3863    |   3701.6  |   -161.4  |
| Sweden                                       |   3194    |   3032.7  |   -161.3  |
| United Arab Emirates                         |    521    |    382.3  |   -138.7  |
| Saudi Arabia                                 | 173785    | 173647    |   -137.8  |
| Netherlands                                  |   1967    |   1839.1  |   -127.9  |
| Yemen                                        |  23668    |  23546    |   -122    |
| Nepal                                        |   4236.6  |   4121    |   -115.6  |
| Dominican Republic                           |   2467    |   2352    |   -115    |
| Honduras                                     |   3337    |   3235    |   -102    |
| Morocco                                      |  30693    |  30591.5  |   -101.5  |
| Libya                                        |  15450    |  15350    |   -100    |
| Nigeria                                      |  70900    |  70800    |   -100    |
| Republic of Moldova                          |   2557    |   2458    |    -99    |
| Costa Rica                                   |   1888    |   1811.1  |    -76.9  |
| Central African Republic                     |   5149    |   5080    |    -69    |
| Czechia                                      |   4282    |   4216    |    -66    |
| Occupied Palestinian Territory               |    364    |    298    |    -66    |
| Puerto Rico                                  |    259.9  |    197.7  |    -62.2  |
| New Caledonia                                |    243    |    184.24 |    -58.76 |
| Belgium-Luxembourg                           |   1521    |   1462.29 |    -58.71 |
| Guyana                                       |   1735    |   1680    |    -55    |
| Lesotho                                      |   2329    |   2277.3  |    -51.7  |
| Norway                                       |   1038    |    986.7  |    -51.3  |
| Equatorial Guinea                            |    334    |    284    |    -50    |
| Bhutan                                       |    572    |    525.6  |    -46.4  |
| Switzerland                                  |   1569.1  |   1522.7  |    -46.4  |
| Mauritania                                   |  39750    |  39711    |    -39    |
| Jamaica                                      |    482    |    444    |    -38    |
| Cyprus                                       |    144.2  |    108.1  |    -36.1  |
| Venezuela (Bolivarian Republic of)           |  21633    |  21600    |    -33    |
| Estonia                                      |   1001    |    974.3  |    -26.7  |
| Israel                                       |    559    |    537.7  |    -21.3  |
| The former Yugoslav Republic of Macedonia    |   1282    |   1263    |    -19    |
| Iceland                                      |   1889    |   1872.2  |    -16.8  |
| Samoa                                        |     50.8  |     35    |    -15.8  |
| Denmark                                      |   2644    |   2629    |    -15    |
| Falkland Islands (Malvinas)                  |   1130.9  |   1115.9  |    -15    |
| Mauritius                                    |    100    |     86    |    -14    |
| Trinidad and Tobago                          |     67    |     54    |    -13    |
| Namibia                                      |  38820    |  38809    |    -11    |
| Mayotte                                      |     20    |     12.16 |     -7.84 |
| Saint Lucia                                  |     15.4  |     10.6  |     -4.8  |
| Isle of Man                                  |     43.4  |     38.9  |     -4.5  |
| Barbados                                     |     18    |     14    |     -4    |
| Grenada                                      |     12    |      8    |     -4    |
| Saint Kitts and Nevis                        |     10    |      6    |     -4    |
| Cook Islands                                 |      5    |      1.5  |     -3.5  |
| Fiji                                         |    428    |    425    |     -3    |
| Jordan                                       |   1067    |   1064    |     -3    |
| United States Virgin Islands                 |      7    |      4    |     -3    |
| Seychelles                                   |      4    |      1.48 |     -2.52 |
| Martinique                                   |     34    |     31.6  |     -2.4  |
| Guam                                         |     20    |     18    |     -2    |
| Liechtenstein                                |      7    |      5.32 |     -1.68 |
| Bahrain                                      |     10    |      8.6  |     -1.4  |
| Saint Pierre and Miquelon                    |      3    |      2    |     -1    |
| Saint Vincent and the Grenadines             |     11    |     10    |     -1    |
| Swaziland                                    |   1223    |   1222    |     -1    |
| Western Sahara                               |   5005    |   5004    |     -1    |
| Réunion                                      |     50    |     49.3  |     -0.7  |
| Singapore                                    |      1.2  |      0.66 |     -0.54 |
| Marshall Islands                             |     12    |     11.5  |     -0.5  |
| Micronesia (Federated States of)             |     22.5  |     22    |     -0.5  |
| Qatar                                        |     66    |     65.6  |     -0.4  |
| Tuvalu                                       |      2    |      1.8  |     -0.2  |
| Bermuda                                      |      0.4  |      0.3  |     -0.1  |
| Maldives                                     |      8    |      7.9  |     -0.1  |
| Antigua and Barbuda                          |      9    |      9    |      0    |
| Aruba                                        |      2    |      2    |      0    |
| British Virgin Islands                       |      7    |      7    |      0    |
| Cayman Islands                               |      2.7  |      2.7  |      0    |
| Faroe Islands                                |      3    |      3    |      0    |
| Gabon                                        |   5160    |   5160    |      0    |
| Kiribati                                     |     34    |     34    |      0    |
| Montserrat                                   |      3    |      3    |      0    |
| Nauru                                        |      0.4  |      0.4  |      0    |
| Netherlands Antilles (former)                |      8    |      8    |      0    |
| Norfolk Island                               |      1    |      1    |      0    |
| Northern Mariana Islands                     |      3    |      3    |      0    |
| Palau                                        |      5    |      5    |      0    |
| Saint Helena, Ascension and Tristan da Cunha |     12    |     12    |      0    |
| San Marino                                   |      1    |      1    |      0    |
| Tokelau                                      |      0.6  |      0.6  |      0    |
| Turks and Caicos Islands                     |      1    |      1    |      0    |
| Wallis and Futuna Islands                    |      6    |      6    |      0    |
| American Samoa                               |      4.79 |      4.9  |      0.11 |
| Niue                                         |      4.8  |      5    |      0.2  |
| Suriname                                     |     88    |     88.2  |      0.2  |
| Greenland                                    |    235.7  |    235.9  |      0.2  |
| Comoros                                      |    132    |    133    |      1    |
| Malta                                        |      9    |     10.23 |      1.23 |
| Channel Islands                              |      7.9  |      9.52 |      1.62 |
| Sao Tome and Principe                        |     47    |     48.7  |      1.7  |
| Bahamas                                      |     12    |     14    |      2    |
| Tonga                                        |     31    |     33    |      2    |
| Andorra                                      |     18.8  |     20.9  |      2.1  |
| French Polynesia                             |     43    |     45.5  |      2.5  |
| Guadeloupe                                   |     50    |     52.9  |      2.9  |
| Brunei Darussalam                            |     10    |     14.4  |      4.4  |
| Dominica                                     |     19    |     25    |      6    |
| French Guiana                                |     23    |     30.6  |      7.6  |
| Kuwait                                       |    144    |    152.1  |      8.1  |
| Belize                                       |    150    |    160    |     10    |
| Cabo Verde                                   |     71    |     84    |     13    |
| United Kingdom                               |  17219    |  17232    |     13    |
| Vanuatu                                      |    173    |    187    |     14    |
| Albania                                      |   1145    |   1174.29 |     29.29 |
| Solomon Islands                              |     76    |    108    |     32    |
| Guinea-Bissau                                |   1588    |   1630    |     42    |
| Timor-Leste                                  |    337    |    380    |     43    |
| Nicaragua                                    |   5018    |   5065    |     47    |
| Ireland                                      |   4418    |   4466    |     48    |
| Gambia                                       |    552    |    605    |     53    |
| Bosnia and Herzegovina                       |   2105    |   2162    |     57    |
| Somalia                                      |  44067    |  44125    |     58    |
| Finland                                      |   2201.4  |   2267.1  |     65.7  |
| Lebanon                                      |    582.5  |    658    |     75.5  |
| Azerbaijan                                   |   4692.4  |   4769.7  |     77.3  |
| Democratic People's Republic of Korea        |   2550    |   2630    |     80    |
| Congo                                        |  10544    |  10627    |     83    |
| Panama                                       |   2157    |   2257    |    100    |
| Liberia                                      |   2590    |   2700    |    110    |
| Slovenia                                     |    500    |    614.99 |    114.99 |
| El Salvador                                  |   1481    |   1602    |    121    |
| Eritrea                                      |   7467    |   7592    |    125    |
| Burundi                                      |   1887    |   2033    |    146    |
| Rwanda                                       |   1661    |   1809.5  |    148.5  |
| Haiti                                        |   1690    |   1840    |    150    |
| Djibouti                                     |   1551    |   1702    |    151    |
| Syrian Arab Republic                         |  13767    |  13921    |    154    |
| Afghanistan                                  |  37753    |  37910    |    157    |
| Botswana                                     |  25841    |  26001    |    160    |
| Tajikistan                                   |   4568    |   4745    |    177    |
| Togo                                         |   3630    |   3820    |    190    |
| Papua New Guinea                             |    993    |   1190    |    197    |
| Latvia                                       |   1617    |   1872    |    255    |
| Egypt                                        |   3483    |   3745    |    262    |
| Armenia                                      |   1323    |   1681.09 |    358.09 |
| Mexico                                       | 106326    | 106705    |    379    |
| Sri Lanka                                    |   2345    |   2740    |    395    |
| Oman                                         |   1071    |   1468.8  |    397.8  |
| Iraq                                         |   8750    |   9269    |    519    |
| Tunisia                                      |   9526    |  10073    |    547    |
| Cameroon                                     |   9160    |   9750    |    590    |
| Lao People's Democratic Republic             |   1773    |   2369    |    596    |
| Democratic Republic of the Congo             |  25600    |  26200    |    600    |
| Bolivia (Plurinational State of)             |  37069    |  37704.5  |    635.5  |
| Benin                                        |   3110    |   3750    |    640    |
| Chile                                        |  15060    |  15761.2  |    701.2  |
| Kenya                                        |  26876    |  27630    |    754    |
| Cambodia                                     |   4640    |   5455    |    815    |
| Malaysia                                     |   7021    |   7839    |    818    |
| Russian Federation                           | 216790    | 217722    |    931.82 |
| Guinea                                       |  13540    |  14500    |    960    |
| Côte d'Ivoire                                |  19600    |  20600    |   1000    |
| Malawi                                       |   4680    |   5790    |   1110    |
| Sierra Leone                                 |   2804    |   3949    |   1145    |
| Philippines                                  |  11235    |  12440    |   1205    |
| Chad                                         |  48630    |  49935    |   1305    |
| Zimbabwe                                     |  14840    |  16200    |   1360    |
| Zambia                                       |  22405    |  23836    |   1431    |
| Peru                                         |  22826    |  24330.6  |   1504.6  |
| Ghana                                        |  14180    |  15700    |   1520    |
| Algeria                                      |  39731    |  41431    |   1700    |
| Mozambique                                   |  48190    |  49950    |   1760    |
| Angola                                       |  57400    |  59190    |   1790    |
| Paraguay                                     |  20083    |  21885    |   1802    |
| Madagascar                                   |  39500    |  41415    |   1915    |
| Kazakhstan                                   | 215075    | 216992    |   1916.7  |
| Myanmar                                      |  10609    |  12645    |   2036    |
| Thailand                                     |  20017    |  22110    |   2093    |
| Burkina Faso                                 |   9970    |  12100    |   2130    |
| Uganda                                       |  12262    |  14415    |   2153    |
| Viet Nam                                     |   8413    |  10873.7  |   2460.7  |
| Mali                                         |  37650    |  41201    |   3551    |
| Ethiopia                                     |  30676    |  36259    |   5583    |
| United Republic of Tanzania                  |  33900    |  39650    |   5750    |
| Niger                                        |  37000    |  44782    |   7782    |
| Indonesia                                    |  45877    |  57000    |  11123    |
| Argentina                                    | 128412    | 148700    |  20288    |
| Brazil                                       | 260759    | 282589    |  21830    |



label: E=D-C
labeled_formulas: E=D-C
output: {"Arithmetic-Relationship": ["E=D-C"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_527487___xlsx_53ce60020e5316417630c958f64980605ad150cb.xlsx___line_237