Problem: p02608
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
import math
n=int(input())
for i in range(1,n+1):
    nn=int(math.sqrt(i))
    min=int((nn+1)/3)
    min1=int((nn+1)/2)
    count=0
    for x in range(1,min+1):
        for y in range(x,min1+1):
            for z in range(y,nn+1):
                
                if (x*x+y*y+z*z+x*y+y*z+z*x)==i:
                    if x==y and y==z and z==y:
                        count=count+1
                    elif x!=y and y!=z and z!=y:
                        count=count+6
                    else:
                        count=count+3
    print(count)


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
0
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
0
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
0
6
0
6
6
0
3
12
0
6
0
0
3
6
0
0
0
0
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
0
6
3
12
6
0
0
12
0
6
0
6
3
12
0
0
6
0
0
6
0
9
3
6
0
6
3
9
6
3
6
6
0
6
0
6
0
15
6
0
0
6
0
0
0
12
0
12
6
6
0
3
6
6
3
12
0
6
0
6
6
0
0
6
3
12
0
6
6
6
6
0
0
18
0
12
0
3
6
12
0
0
6
3
6
12
0
12
0
0
0
6
3
9
6
12
3
12
0
3
6
6
0
12
0
12
0
9
9
0
0
6
0
6
3
12
6
6
0
6
0
12
3
6
3
9
6
12
6
6
0
6
0
6
6
6
0
12
3
6
0
9
6
6
0
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
9
12
0
3
18
3
6
3
6
6
9
9
18
0
6
0
12
0
9
6
0
3
12
0
6
6
12
6
6
0
0
0
6
0
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
0
12
0
9
6
6
6
12
0
15
6
12
6
18
0
0
6
0
9
12
0
18
0
6
3
12
0
9
12
0
0
12
0
0
6
12
6
12
9
18
0
9
6
18
0
6
0
6
3
27
6
6
6
6
0
6
0
12
6
9
0
6
0
18
0
9
9
12
0
12
6
6
3
6
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
0
6
3
12
6
9
6
3
9
30
0
12
0
6
6
12
6
6
9
12
0
18
6
18
0
6
0
12
0
3
12
6
3
18
0
6
6
6
6
6
0
18
0
6
0
18
0
12
6
12
3
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
3
6
6
6
24
3
24
0
9
12
6
6
12
0
6
0
21
9
15
6
12
3
18
3
12
6
12
6
0
0
12
0
12
3
24
0
6
12
6
0
3
6
9
6
18
0
18
3
12
6
6
12
24
0
12
6
12
0
18
0
18
0
0
0
18
9
21
12
0
6
18
0
9
6
6
6
12
0
12
0
6
6
21
6
6
0
18
3
21
6
6
12
12
0
12
0
24
12
0
0
18
3
24
6
12
12
18
0
0
0
12
0
18
3
15
6
12
9
6
0
12
6
6
9
24
0
12
3
6
6
21
6
12
3
18
0
21
12
15
6
6
0
12
3
12
6
12
9
12
6
6
6
24
0
18
0
24
0
6
6
0
6
9
6
6
3
18
0
15
12
9
6
24
0
18
0
9
12
18
6
6
12
12


Fixed submission (verdict: Accepted):
import math
n=int(input())
for i in range(1,n+1):
    nn=int(math.sqrt(i))
    min=int((nn+1)/math.sqrt(3))
    min1=int((nn+1)/math.sqrt(2))
    count=0
    for x in range(1,min+1):
        for y in range(x,min1+1):
            for z in range(y,nn+1):
                
                if (x*x+y*y+z*z+x*y+y*z+z*x)==i:
                    if x==y and y==z and z==x:
                        count=count+1
                    elif x!=y and y!=z and z!=x:
                        count=count+6
                    else:
                        count=count+3
    print(count)