Problem: p02608
Buggy submission (Python (3.8.2), verdict: Wrong Answer):
import math
N = int(input())
A = 5
for n in range(1, N+1):
    num = 0
    for i in range(1, A):
        for j in range(1, A):
            for k in range(1, A):
                if math.pow(i + j + k, 2) == (i * j + j * k + k * i) + n:
                    num += 1
    print(num)


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
0
0
0
0
0
3
3
6
0
0
0
0
0
0
0
0
1
6
0
3
0
0
0
0
0
0
0
0
0
3
3
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0


Fixed submission (verdict: Accepted):

n = int(input())
ans = [0 for _ in range(10050)]
for i in range(1, 105):
    for j in range(1, 105):
        for k in range(1, 105):
            v = i*i+j*j+k*k+i*j+j*k+k*i
            if v < 10050:  
                ans[v] += 1
for i in range(n):
    print(ans[i+1])