Problem: p02608
Buggy submission (Python (3.8.2), verdict: Wrong Answer):
import math
    

n = int(input(''))

mx=int(math.sqrt(n))+1

fmap = {}

for x in range(1,mx):
    for y in range(x,mx):
        for z in range(y,mx):
            ans = x**2 + y**2 + z**2 + x*y + y*z + x*z
            if x==y and y==z:
                fmap[ans] = 1
            elif x==y or y==z:
                fmap[ans] = 3
            else:
                fmap[ans] = 6

for i in range(1,n+1):
    if i in fmap.keys():
        print(fmap[i])
    else:
        print(0)

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


Fixed submission (verdict: Accepted):
import math
    

n = int(input(''))

mx=int(math.sqrt(n))+1

fmap = {}

for x in range(1,mx):
    for y in range(1,mx):
        for z in range(1,mx):
            ans = x**2 + y**2 + z**2 + x*y + y*z + x*z
            if ans not in fmap.keys():
                fmap[ans] = 0
            fmap[ans] += 1

for i in range(1,n+1):
    if i in fmap.keys():
        print(fmap[i])
    else:
        print(0)