1 #include <iostream>
 2 #include <cstdio>
 3 #include <cstdlib>
 4 #include <cstring>
 5 using namespace std;
 6
 7 __int64 n, k, d1, d2;
 8
 9 int main()
10 {
11     int t;
12     while (scanf("%d", &t) != EOF)
13     {
14         while (t--)
15         {
16             scanf("%I64d%I64d%I64d%I64d", &n, &k, &d1, &d2);
17             if (n % 3)
18                 printf("no\n");
19             else
20             {
21                 int flag = 0;
22                 for (int s1 = -1; s1 <= 1 && !flag; s1++)  // 控制d1的正负号
23                 {
24                     for (int s2 = -1; s2 <= 1 && !flag; s2++)  // 控制d2的正负号
25                     {
26                         if (s1 == 0 || s2 == 0)
27                             continue;
28                         __int64 w1, w2, w3;
29                         __int64 f1, f2, f3;  // w1, w2, w3的分子
30                         f1 = (2*(s1)*d1 + (s2)*d2 + k);
31                         if (f1 % 3)
32                             continue;
33                         w1 = f1 / 3;
34                         f2 = ((-1)*(s1)*d1 + (s2)*d2 + k);
35                         if (f2 % 3)
36                             continue;
37                         w2 = f2 / 3;
38                         f3 = ((-1)*(s1)*d1 + 2*(-1)*(s2)*d2 + k);
39                         if (f3 % 3)
40                             continue;
41                         w3 = f3 / 3;
42
43                         if (w1 + w2 + w3 == k && w1 >= 0 && w1 <= n/3 && w2 >= 0 && w2 <= n/3 && w3 >= 0 && w3 <= n/3)
44                         {
45                             flag = 1;
46                             break;
47                         }
48                     }
49                 }
50                 printf("%s\n", flag ? "yes" : "no");
51             }
52         }
53     }
54     return 0;
55 }