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#!/usr/bin/env python3
for _ in range(int(input())):
input()
a, d = ([int(i) for i in input().split()] for _ in range(2))
a.extend((a[0], a[-1]))
try:
print(max(d for i, d in enumerate(d) if d > a[i-1] + a[i+1]))
except ValueError:
print(-1)
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