[mypy] Type annotations for searches directory (#5799)

* Update ternary_search.py

* Update mypy.ini

* Update simulated_annealing.py

* Update ternary_search.py

* formatting

* formatting

* Update matrix_operation.py

* Update matrix_operation.py

* Update matrix_operation.py

Author: Rohanrbharadwaj

Diff for: mypy.ini

@@ -2,4 +2,4 @@
 ignore_missing_imports = True
 install_types = True
 non_interactive = True
-exclude = (matrix_operation.py|other/least_recently_used.py|other/lfu_cache.py|other/lru_cache.py|searches/simulated_annealing.py|searches/ternary_search.py)
+exclude = (matrix_operation.py|other/least_recently_used.py|other/lfu_cache.py|other/lru_cache.py)

Diff for: searches/simulated_annealing.py

@@ -1,6 +1,7 @@
 # https://en.wikipedia.org/wiki/Simulated_annealing
 import math
 import random
+from typing import Any
 
 from .hill_climbing import SearchProblem
 
@@ -16,7 +17,7 @@ def simulated_annealing(
     start_temperate: float = 100,
     rate_of_decrease: float = 0.01,
     threshold_temp: float = 1,
-) -> SearchProblem:
+) -> Any:
     """
     Implementation of the simulated annealing algorithm. We start with a given state,
     find all its neighbors. Pick a random neighbor, if that neighbor improves the

Diff for: searches/ternary_search.py

@@ -89,8 +89,8 @@ def ite_ternary_search(array: list[int], target: int) -> int:
         if right - left < precision:
             return lin_search(left, right, array, target)
 
-        one_third = (left + right) / 3 + 1
-        two_third = 2 * (left + right) / 3 + 1
+        one_third = (left + right) // 3 + 1
+        two_third = 2 * (left + right) // 3 + 1
 
         if array[one_third] == target:
             return one_third
@@ -138,8 +138,8 @@ def rec_ternary_search(left: int, right: int, array: list[int], target: int) ->
     if left < right:
         if right - left < precision:
             return lin_search(left, right, array, target)
-        one_third = (left + right) / 3 + 1
-        two_third = 2 * (left + right) / 3 + 1
+        one_third = (left + right) // 3 + 1
+        two_third = 2 * (left + right) // 3 + 1
 
         if array[one_third] == target:
             return one_third
@@ -157,6 +157,10 @@ def rec_ternary_search(left: int, right: int, array: list[int], target: int) ->
 
 
 if __name__ == "__main__":
+    import doctest
+
+    doctest.testmod()
+
     user_input = input("Enter numbers separated by comma:\n").strip()
     collection = [int(item.strip()) for item in user_input.split(",")]
     assert collection == sorted(collection), f"List must be ordered.\n{collection}."