def getMinMemory(memoryRequirement, memoryAvailable):
"""
Determines the smallest memory capacity required for a new server.
Args:
memoryRequirement: A list of integers for the memory requirements of the programs.
memoryAvailable: A list of integers for the memory capacities of the existing servers.
Returns:
The minimum memory size required for the new server, or -1 if impossible.
"""
n = len(memoryRequirement)
# Step 1: Sort both lists
prog_req_sorted = sorted(memoryRequirement)
serv_avail_sorted = sorted(memoryAvailable)
# Step 2: Iterate through each program as a candidate for the new server
for i in range(n):
candidate_program = prog_req_sorted[i]
# Create a temporary list of remaining programs
remaining_programs = prog_req_sorted[:i] + prog_req_sorted[i+1:]
# Step 3: Check if the remaining programs can be assigned
is_possible = True
for j in range(n - 1):
if remaining_programs[j] > serv_avail_sorted[j]:
is_possible = False
break
# Step 4: If possible, we've found our minimum answer
if is_possible:
return candidate_program
# Step 5: If the loop completes, no solution was found
return -1
# Example usage from the problem
memoryRequirement = [2, 2, 7,3,5]
memoryAvailable = [3, 2, 7,2]
result = getMinMemory(memoryRequirement, memoryAvailable)
print(f"The minimum memory required for the new server is: {result}")
# Expected output: The minimum memory required for the new server is: 3
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