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

def main():
    n = int(input())

    s = int(math.sqrt(n))
    a = list(itertools.product(range(1,s),repeat=3))

    ans = []
    for i in range(len(a)):
        t = a[i][0] ** 2 + a[i][1] ** 2 + a[i][2] ** 2 + a[i][0] * a[i][1] + a[i][1] * a[i][2] + a[i][2] * a[i][0]
        ans.append(t)
        

    c = collections.Counter(ans)
    for i in range(n):
        print(c[i])
        
        
main()
        
        


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
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


Fixed submission (verdict: Accepted):
import itertools
import math
import collections

def main():
    n = int(input())

    s = int(math.sqrt(n))
    a = list(itertools.product(range(1,s),repeat=3))

    ans = []
    for i in range(len(a)):
        t = a[i][0] ** 2 + a[i][1] ** 2 + a[i][2] ** 2 + a[i][0] * a[i][1] + a[i][1] * a[i][2] + a[i][2] * a[i][0]
        ans.append(t)
        

    c = collections.Counter(ans)
    for i in range(1,n+1):
        print(c[i])
        
        
main()