heaters

Author: saurabhchris1

Heaters.py

@@ -0,0 +1,46 @@
+# Winter is coming! Your first job during the contest is to design a standard heater
+# with fixed warm radius to warm all the houses.
+#
+# Now, you are given positions of houses and heaters on a horizontal line, find out
+# minimum radius of heaters so that all houses could be covered by those heaters.
+#
+# So, your input will be the positions of houses and heaters seperately, and your
+# expected output will be the minimum radius standard of heaters.
+#
+# Note:
+#
+# Numbers of houses and heaters you are given are non-negative and will not exceed 25000.
+# Positions of houses and heaters you are given are non-negative and will not exceed 10^9.
+# As long as a house is in the heaters' warm radius range, it can be warmed.
+# All the heaters follow your radius standard and the warm radius will the same.
+#
+# Input: [1,2,3],[2]
+# Output: 1
+# Explanation: The only heater was placed in the position 2, and if we use the
+# radius 1 standard, then all the houses can be warmed.
+#
+#
+# Input: [1,2,3,4],[1,4]
+# Output: 1
+# Explanation: The two heater was placed in the position 1 and 4. We need to use
+# radius 1 standard, then all the houses can be warmed.
+
+
+class Solution:
+    def findRadius(self, houses, heaters):
+        houses.sort();
+        heaters.sort()
+        heaters = [float("-inf")] + heaters + [float("inf")]
+
+        i = j = radius = 0
+
+        while i < len(houses):
+            if heaters[j] >= houses[i]:
+                dist = min(heaters[j] - houses[i], houses[i] - heaters[j - 1])
+                i += 1
+                radius = max(radius, dist)
+
+            else:
+                j += 1
+
+        return radius