import sys
input = sys.stdin.readline
for _ in range(int(input())):
c, m, x = map(int,input().split(' '))
t=0
a=min(c,m)
if x >= a:
print(a)
else:
t=t+x
c=c-x
m=m-x
x=0
t=t+min(min(m,c),(m+c)//3)
print(t)
#include <stdio.h>
int main()
{
int tc;
scanf("%d", &tc);
while(tc--){
long long a, b, c, mini, temp;
scanf("%lld %lld %lld", &a, &b, &c);
if((a==0)||(b==0)){
printf("0\n");
}
else{
long long sum=a+b+c;
if(a<=b){mini=a;}
else {mini=b;}
temp = sum-mini*2;
if(temp>=mini){
printf("%lld\n", mini);
}
else{
printf("%lld\n", sum/3);
}
}
}
return 0;
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