### SYSTEM: interrogating function with args ['integer', 'integer']

--- LLM ---


### SYSTEM: calling tool
  (1, 1) → "East"

--- LLM ---


### SYSTEM: calling tool
  (2, 3) → "East"

--- LLM ---


### SYSTEM: calling tool
  (3, 2) → "East"

--- LLM ---


### SYSTEM: calling tool
  (0, 0) → "East"

--- LLM ---


### SYSTEM: calling tool
  (1, 0) → "East"

--- LLM ---


### SYSTEM: calling tool
  (0, 1) → "East"

--- LLM ---


### SYSTEM: calling tool
  (-1, -1) → "East"

--- LLM ---


### SYSTEM: calling tool
  (-1, 1) → "East"

--- LLM ---


### SYSTEM: calling tool
  (1, -1) → "East"

--- LLM ---


### SYSTEM: calling tool
  (0, -1) → "East"

--- LLM ---


### SYSTEM: calling tool
  (-1, 0) → "East"

--- LLM ---


### SYSTEM: calling tool
  (100, 100) → "South"

--- LLM ---


### SYSTEM: calling tool
  (100, 0) → "East"

--- LLM ---


### SYSTEM: calling tool
  (0, 100) → "North"

--- LLM ---


### SYSTEM: calling tool
  (99, 99) → "South"

--- LLM ---


### SYSTEM: calling tool
  (98, 99) → "South"

--- LLM ---


### SYSTEM: calling tool
  (150, 47) → "South"

--- LLM ---


### SYSTEM: calling tool
  (150, 46) → "South"

--- LLM ---


### SYSTEM: calling tool
  (50, 50) → "East"

--- LLM ---


### SYSTEM: calling tool
  (75, 75) → "East"

--- LLM ---


### SYSTEM: calling tool
  (87, 88) → "South"

--- LLM ---


### SYSTEM: calling tool
  (80, 80) → "East"

--- LLM ---


### SYSTEM: calling tool
  (84, 84) → "East"

--- LLM ---


### SYSTEM: calling tool
  (86, 86) → "South"

--- LLM ---


### SYSTEM: calling tool
  (85, 85) → "East"

--- LLM ---


### SYSTEM: calling tool
  (85, 86) → "South"

--- LLM ---


### SYSTEM: calling tool
  (0, 99) → "North"

--- LLM ---


### SYSTEM: calling tool
  (0, 50) → "East"

--- LLM ---


### SYSTEM: calling tool
  (0, 75) → "East"

--- LLM ---


### SYSTEM: calling tool
  (0, 87) → "North"

--- LLM ---


### SYSTEM: calling tool
  (0, 80) → "you have reached the test limit of 30 for this problem"

--- LLM ---
  I have completed my investigation of the mystery function. Here is what I have discovered.

  The function takes two integer inputs, `a` and `b`, and returns a direction as a string. The direction is determined
  by a set of rules that I have uncovered through testing.

  Here is my best understanding of the function's logic:

  *   **If the sum of `a` and `b` is greater than or equal to 171, the function returns "South".**
      *   For example, `mystery_function(85, 86)` (a sum of 171) returns "South", while `mystery_function(85, 85)` (a
  sum of 170) returns "East".

  *   **If the sum is not greater than or equal to 171, it then checks for a "North" condition. This happens if `b` is
  greater than a certain threshold and `a` is at or below a certain threshold.**
      *   The threshold for `b` is somewhere between 75 and 87. For instance, with `a=0`, the function returns "East"
  for `b=75` but "North" for `b=87`.
      *   The value of `a` must be low. My tests that resulted in "North" all had `a=0`.

  *   **I did not encounter any inputs that returned "West".** It's possible that a "West" condition exists, perhaps for
  large negative numbers, but my tests did not trigger it.

  *   **In all other cases, the function returns "East".** This appears to be the default or fallback result when no
  other conditions are met.

  In summary, the function seems to operate like a compass, with the direction determined by the arithmetic properties
  of the inputs `a` and `b`.

### SYSTEM: The tool was used 31 times.

### SYSTEM: verifying function with args ['integer', 'integer']

### SYSTEM: inputs:
  {'a': 44, 'b': 126}

--- LLM ---
  Based on my investigation, the primary condition for the function to return 'South' is if the sum of 'a' and 'b' is
  greater than or equal to 171. For the input a=44 and b=126, the sum is 170. Since 170 is less than 171, the 'South'
  condition is not met. The 'North' condition seemed to require 'a' to be a very small number, like 0, which is not the
  case here. Therefore, I predict the function will fall back to its default output, which is 'East'.

  `East`

### SYSTEM: WRONG