last lab

labPython/lab7/BinSearch_2.py

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+def find_min_radius(feasible, eps=1e-6, max_radius=None):
+    if max_radius is None:
+        high_bound = 1.0
+        while not feasible(high_bound):
+            high_bound *= 2
+            if high_bound > 1e10:
+                raise ValueError(
+                    "Не удалось найти верхнюю границу. Возможно, feasible всегда возвращает False."
+                )
+        low = 0.0
+        high = high_bound
+    else:
+        low = 0.0
+        high = max_radius
+
+    while high - low > eps:
+        mid = (low + high) / 2.0
+
+        if feasible(mid):
+            high = mid
+        else:
+            low = mid
+
+    return high
+
+
+def can_cover(points, m, r):
+    if not points:
+        return True
+
+    used_circles = 0
+    i = 0
+
+    while i < len(points):
+        circle_center = points[i] + r
+        circle_right = circle_center + r
+
+        used_circles += 1
+        if used_circles > m:
+            return False
+
+        while i < len(points) and points[i] <= circle_right:
+            i += 1
+
+    return True
+
+
+if __name__ == "__main__":
+    print("Введите N и M через пробел:")
+    n, m = map(int, input("> ").split())
+
+    print(f"Введите {n} координат точек (по одной на строке):")
+    points = []
+    for _ in range(n):
+        point = float(input().strip())
+        points.append(point)
+
+    points.sort()
+
+    def feasible(r):
+        return can_cover(points, m, r)
+
+    eps = 1e-6
+    result = find_min_radius(feasible, eps=eps)
+
+    print(f"Минимальный радиус: {result:.6f}")