import sys
from math import sqrt, pi, sin
inp = lambda : sys.stdin.readline()[:-1]
mii = lambda x = " ": [*map(int,input().split(x))]
mfi = lambda x = " ": [*map(float,input().split(x))]
ii = lambda : int(input())
for _ in range(ii()):
k, x, y = mii()
if x < y:
x, y = y, x
ans = max(0, k - x)
x = max(x, k)
while x - y < 2:
x += 1
ans += 1
print(ans)