Backtracking first working version

Backtracking/cs412_hw3_a.py

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+"""
+name: Nicholas Tamassia
+
+Honor Code and Acknowledgments:
+
+        This work complies with the JMU Honor Code.
+
+       Comments here on your code and submission.
+"""
+
+
+# I'm going to pat myself on the back, I wrote this in one shot
+# and it worked first try for the full credit
+def construct(sections: list[int], target: int) -> dict[int, int]:
+    # We want to start with the largest sections first
+    rev_sections = sorted(sections, reverse=True)
+
+    # Initialize to a worse-than-worst-case scenario
+    best_sections: dict[int, int] = {i: target for i in sections}
+    best_num: int = target * len(sections)
+
+    def recurse(
+        cur_sections: dict[int, int], cur_height: int, num_sections: int
+    ) -> None:
+        nonlocal best_sections, best_num
+
+        if num_sections >= best_num:
+            return
+
+        if cur_height == target:
+            best_sections = cur_sections
+            best_num = num_sections
+            return
+
+        for i in rev_sections:
+            if cur_height + i > target:
+                continue
+
+            new_sections = cur_sections.copy()
+            new_sections[i] += 1
+
+            recurse(new_sections, cur_height + i, num_sections + 1)
+
+    recurse({i: 0 for i in sections}, 0, 0)
+    return best_sections
+
+
+# All modules for CS 412 must include a main method that allows it
+# to imported and invoked from other python scripts
+def main():
+    sections: list[int] = list(map(int, input().split(" ")))
+    target: int = int(input())
+
+    best_sections = construct(sections, target)
+    best_num = 0
+
+    for i, n in sorted(best_sections.items()):
+        best_num += n
+        print(f"{n} of length {i}")
+
+    print(f"{best_num} rocket sections minimum")
+
+
+if __name__ == "__main__":
+    main()

Backtracking/inputs/sample1.txt

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+1 2 5 7
+15

Backtracking/inputs/sample2.txt

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+1 2 3 5 7 14
+15

Backtracking/inputs/sample3.txt

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+1 9
+17

Backtracking/inputs/sample4.txt

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+1 9 10
+18

Backtracking/inputs/sample5.txt

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+1 9 10 90 100
+198