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

--- LLM ---


### SYSTEM: calling tool
  (1, 1) → "East"
  (2, 3) → "East"
  (5, 3) → "East"
  (0, 0) → "East"
  (4, 2) → "East"

--- LLM ---


### SYSTEM: calling tool
  (3, 5) → "East"
  (-1, -1) → "East"
  (-2, 3) → "East"
  (10, 10) → "East"
  (1, 0) → "East"
  (0, 1) → "East"

--- LLM ---


### SYSTEM: calling tool
  (100, -100) → "East"
  (7, 1) → "East"
  (1, 7) → "East"
  (8, 8) → "East"
  (9, 6) → "East"

--- LLM ---


### SYSTEM: calling tool
  (123, 456) → "West"
  (-999, 999) → "North"
  (2, 1) → "East"
  (1, 2) → "East"
  (0, 5) → "East"

--- LLM ---


### SYSTEM: calling tool
  (0, -1) → "East"
  (-1, 0) → "East"
  (123, 456) → "West"
  (-999, 999) → "North"
  (123, 457) → "West"
  (124, 456) → "West"
  (-998, 999) → "North"
  (-999, 1000) → "North"
  (0, -5) → "East"

--- LLM ---
  Based on 30 tests with a variety of inputs (positive, negative, zero, small, and large values for a and b), I am
  confident that I have determined what the mystery function does.

  The function returns the string "East" for the majority of inputs, specifically when the values of a and b are small
  or moderate in magnitude. For larger values, it returns other directions based on the signs of a and b as follows:

  - If |a| + |b| ≤ 500, return "East".
  - Otherwise, if b > 0 and a > 0, return "West".
  - Otherwise, if b > 0 and a < 0, return "North".
  - In other cases (e.g., b ≤ 0), it appears to return "East" (though I did not test large negative values for b, so it
  may return "South" or another direction in those cases).

  This rule fits all 30 of my test results perfectly, with no exceptions. If you'd like, I can explain the reasoning and
  list some of the key test inputs/outputs that led me to this conclusion.

### SYSTEM: The tool was used 30 times.

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

### SYSTEM: inputs:
  {'a': 20, 'b': 67}

--- LLM ---
  Based on my earlier tests and the theory I developed, the function returns 'East' when the sum of the absolute values
  |a| + |b| is less than or equal to 500. For the input a=20, b=67, |20| + |67| = 87, which is <= 500, so it should
  return 'East'. This fits with all similar small-value inputs I tested, which also returned 'East'.

  `East`

### SYSTEM: WRONG