Problem: p02608
Buggy submission (Python (3.8.2), verdict: Wrong Answer):
N = int(input())
ans = [0]*N
n = int((N)**(0.5))+1
for x in range(1, n):
    for y in range(1, n):
        for z in range(1, n):
            i = x**2+y**2+z**2+x*y+x*z+y*z
            if i > N-1:
                break
            else:
                ans[i-1] += 1
for a in ans:
    print(a)

Failing test case input:
743

Expected output:
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0
0
0
0
1
6
0
3
0
0
0
0
0
3
3
6
0
0
3
0
0
0
0
3
3
6
0
6
0
0
0
3
0
0
1
6
0
6
6
0
0
6
0
0
0
0
3
3
3
6
0
6
3
6
0
0
0
6
0
0
0
3
3
9
0
6
3
6
0
3
6
0
0
0
0
6
1
6
0
6
6
0
3
12
0
6
0
0
3
6
0
0
0
3
3
12
0
6
3
6
0
3
6
9
0
6
0
0
0
3
6
3
3
6
0
6
3
12
0
3
6
6
0
6
0
6
3
6
0
0
1
6
3
12
6
0
0
12
0
6
0
6
6
12
0
0
6
0
0
6
0
12
3
6
0
6
3
9
6
3
6
6
0
6
0
6
0
15
6
0
0
6
0
3
3
12
0
12
6
6
0
3
6
6
3
12
0
6
0
9
6
0
0
6
3
12
1
6
6
6
6
0
0
18
0
12
0
3
6
12
0
0
6
3
6
12
0
12
0
0
0
9
3
9
6
12
3
12
0
3
6
6
0
12
0
12
0
9
9
0
0
6
3
6
3
12
6
9
3
6
0
12
3
6
3
9
6
12
6
6
0
6
0
9
6
6
0
12
3
6
0
9
6
6
1
6
0
21
12
6
0
12
0
12
0
0
6
15
6
0
6
12
0
12
0
12
0
0
0
12
0
12
12
3
3
18
3
6
3
6
6
9
9
18
0
6
0
12
0
9
6
0
3
12
3
6
6
12
6
6
0
0
0
15
3
18
3
18
3
12
6
3
6
9
0
12
0
12
0
18
12
0
0
12
3
6
0
6
6
9
6
0
0
18
1
18
3
12
6
6
6
12
0
15
6
12
6
18
0
0
6
0
9
12
0
18
0
6
3
12
0
12
12
0
0
12
0
3
6
12
6
18
9
18
0
9
6
18
0
6
0
6
3
27
6
6
6
6
3
6
0
12
6
9
0
6
0
18
0
9
9
15
3
12
6
6
3
9
6
12
12
18
0
18
0
6
6
21
6
0
0
6
3
15
6
12
6
18
0
0
0
12
6
6
3
6
4
18
6
12
6
3
9
30
0
18
0
6
6
12
6
6
9
12
0
18
6
18
0
6
0
12
0
6
12
6
3
18
0
6
6
6
6
15
3
24
0
6
3
18
0
12
6
12
6
24
0
15
18
9
6
0
0
18
3
6
0
15
12
12
6
6
0
18
0
6
3
12
0
12
6
6
9
9
6
24
3
24
0
9
12
6
6
12
0
12
0
21
9
15
6
12
3
18
3
12
6
12
6
0
0
12
0
12
6
24
0
6
12
6
1
9
6
12
6
24
0
18
3
12
6
6
12
24
0
12
6
15
6
18
0
18
0
0
0
18
9
21
12
0
6
18
0
9
6
6
6
12
0
12
0
9
9
27
6
6
3
18
6
21
6
6
12
12
0
12
0
24
12
0
0
24
3
24
6
12
12
18
0
0
0
12
0
18
3
15
6
12
9
6
0
15
6
9
12
24
0
12
3
6
6
21
6
18
3
18
0
21
12
15
6
6
0
12
3
12
9
18
9
12
6
6
6
24
0
18
3
24
0
6
6
0
6
9
6
6
4
30
0
18
12
9
6
24
0
18
0
9
12
21
6
6
12
12


Actual output:
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0
0
0
0
1
6
0
3
0
0
0
0
0
3
3
6
0
0
3
0
0
0
0
3
3
6
0
6
0
0
0
3
0
0
1
6
0
6
6
0
0
6
0
0
0
0
3
3
3
6
0
6
3
6
0
0
0
6
0
0
0
3
3
9
0
6
3
6
0
3
6
0
0
0
0
6
1
6
0
6
6
0
3
12
0
6
0
0
3
6
0
0
0
3
3
12
0
6
3
6
0
3
6
9
0
6
0
0
0
3
6
3
3
6
0
6
3
12
0
3
6
6
0
6
0
6
3
6
0
0
1
6
3
12
6
0
0
12
0
6
0
6
6
12
0
0
6
0
0
6
0
12
3
6
0
6
3
9
6
3
6
6
0
6
0
6
0
15
6
0
0
6
0
3
3
12
0
12
6
6
0
3
6
6
3
12
0
6
0
9
6
0
0
6
3
12
1
6
6
6
6
0
0
18
0
12
0
3
6
12
0
0
6
3
6
12
0
12
0
0
0
9
3
9
6
12
3
12
0
3
6
6
0
12
0
12
0
9
9
0
0
6
3
6
3
12
6
9
3
6
0
12
3
6
3
9
6
12
6
6
0
6
0
9
6
6
0
12
3
6
0
9
6
6
1
6
0
21
12
6
0
12
0
12
0
0
6
15
6
0
6
12
0
12
0
12
0
0
0
12
0
12
12
3
3
18
3
6
3
6
6
9
9
18
0
6
0
12
0
9
6
0
3
12
3
6
6
12
6
6
0
0
0
15
3
18
3
18
3
12
6
3
6
9
0
12
0
12
0
18
12
0
0
12
3
6
0
6
6
9
6
0
0
18
1
18
3
12
6
6
6
12
0
15
6
12
6
18
0
0
6
0
9
12
0
18
0
6
3
12
0
12
12
0
0
12
0
3
6
12
6
18
9
18
0
9
6
18
0
6
0
6
3
27
6
6
6
6
3
6
0
12
6
9
0
6
0
18
0
9
9
15
3
12
6
6
3
9
6
12
12
18
0
18
0
6
6
21
6
0
0
6
3
15
6
12
6
18
0
0
0
12
6
6
3
6
4
18
6
12
6
3
9
30
0
18
0
6
6
12
6
6
9
12
0
18
6
18
0
6
0
12
0
6
12
6
3
18
0
6
6
6
6
15
3
24
0
6
3
18
0
12
6
12
6
24
0
15
18
9
6
0
0
18
3
6
0
15
12
12
6
6
0
18
0
6
3
12
0
12
6
6
9
9
6
24
3
24
0
9
12
6
6
12
0
12
0
21
9
15
6
12
3
18
3
12
6
12
6
0
0
12
0
12
6
24
0
6
12
6
1
9
6
12
6
24
0
18
3
12
6
6
12
24
0
12
6
15
6
18
0
18
0
0
0
18
9
21
12
0
6
18
0
9
6
6
6
12
0
12
0
9
9
27
6
6
3
18
6
21
6
6
12
12
0
12
0
24
12
0
0
24
3
24
6
12
12
18
0
0
0
12
0
18
3
15
6
12
9
6
0
15
6
9
12
24
0
12
3
6
6
21
6
18
3
18
0
21
12
15
6
6
0
12
3
12
9
18
9
12
6
6
6
24
0
18
3
24
0
6
6
0
6
9
6
6
4
30
0
18
12
9
6
24
0
18
0
9
12
21
6
6
12
0


Fixed submission (verdict: Accepted):
N = int(input())
ans = [0]*N
if N > 3:
    n = int((N-3)**(0.5))+1
    nums = [i for i in range(1, n)]
    for x in range(1, n):
        for y in range(1, n):
            for z in range(1, n):
                i = x**2+y**2+z**2+x*y+x*z+y*z
                if i > N:
                    break
                else:
                    ans[i-1] += 1
for a in ans:
    print(a)