Buggy python submission (verdict: Runtime Error):
import math
N = int(input())
ans = 0
num = {i:0 for i in range(1, N+1)}
upper = int(math.sqrt(N)) + 1
for x in range(1, upper):
    for y  in range(1, upper):
        z = 1
        v = x**2 + y**2 + z**2 + x*y + y*z + z*x
        if v > n:
            break
        for z in range(1, upper):
            v = x**2 + y**2 + z**2 + x*y + y*z + z*x
            if v in num.keys():
                num[v] += 1
            if v > N:
                break
for n in range(1, N+1):
    print(num[n])

Fixed submission:
import math
N = int(input())
ans = 0
num = {i:0 for i in range(1, N+1)}
upper = int(math.sqrt(N)) + 1
for x in range(1, upper):
    for y  in range(1, upper):
        z = 1
        v = x**2 + y**2 + z**2 + x*y + y*z + z*x
        if v > N:
            break
        for z in range(1, upper):
            v = x**2 + y**2 + z**2 + x*y + y*z + z*x
            if v in num.keys():
                num[v] += 1
            if v > N:
                break
for n in range(1, N+1):
    print(num[n])

Buggy python submission (verdict: Time Limit Exceeded):
import math
N = int(input())
ans = 0

upper = int(math.sqrt(N/2)) + 1
for n in range(1, N+1):
    ans = 0
    for x in range(1, upper):
        for y  in range(1, upper):
            z = 0
            v = x**2 + y**2 + z**2 + x*y + y*z + z*x
            if v > n:
                break
            for z in range(1, upper):
                v = x**2 + y**2 + z**2 + x*y + y*z + z*x
                if  v == n:
                    ans += 1
                    #print((x, y, z))
                elif v > n:
                    break
    print(ans)

Fixed submission:
import math
N = int(input())
ans = 0
num = {i:0 for i in range(1, N+1)}
upper = int(math.sqrt(N)) + 1
for x in range(1, upper):
    for y  in range(1, upper):
        z = 1
        v = x**2 + y**2 + z**2 + x*y + y*z + z*x
        if v > N:
            break
        for z in range(1, upper):
            v = x**2 + y**2 + z**2 + x*y + y*z + z*x
            if v in num.keys():
                num[v] += 1
            if v > N:
                break
for n in range(1, N+1):
    print(num[n])

Buggy python submission (verdict: Time Limit Exceeded):
import math
N = int(input())
ans = 0
upper = int(math.sqrt(N))
for n in range(1, N+1):
    ans = 0
    for x in range(1, upper):
        for y  in range(1, upper):
            z = 0
            v = x**2 + y**2 + z**2 + x*y + y*z + z*x
            if v > n:
                break
            for z in range(1, upper):
                v = x**2 + y**2 + z**2 + x*y + y*z + z*x
                if  v == n:
                    ans += 1
                    #print((x, y, z))
                elif v > n:
                    break
    print(ans)

Fixed submission:
import math
N = int(input())
ans = 0
num = {i:0 for i in range(1, N+1)}
upper = int(math.sqrt(N)) + 1
for x in range(1, upper):
    for y  in range(1, upper):
        z = 1
        v = x**2 + y**2 + z**2 + x*y + y*z + z*x
        if v > N:
            break
        for z in range(1, upper):
            v = x**2 + y**2 + z**2 + x*y + y*z + z*x
            if v in num.keys():
                num[v] += 1
            if v > N:
                break
for n in range(1, N+1):
    print(num[n])

Buggy python submission (verdict: Time Limit Exceeded):
import math
N = int(input())
ans = 0
if N > 10**3:
    upper = int(math.sqrt(N/6)) + 1
else:
    upper = int(math.sqrt(N))
for n in range(1, N+1):
    ans = 0
    for x in range(1, upper):
        for y  in range(1, upper):
            for z in range(1, upper):
                v = x**2 + y**2 + z**2 + x*y + y*z + z*x
                if  v == n:
                    ans += 1
                    #print((x, y, z))
                elif v > n:
                    break
    print(ans)

Fixed submission:
import math
N = int(input())
ans = 0
num = {i:0 for i in range(1, N+1)}
upper = int(math.sqrt(N)) + 1
for x in range(1, upper):
    for y  in range(1, upper):
        z = 1
        v = x**2 + y**2 + z**2 + x*y + y*z + z*x
        if v > N:
            break
        for z in range(1, upper):
            v = x**2 + y**2 + z**2 + x*y + y*z + z*x
            if v in num.keys():
                num[v] += 1
            if v > N:
                break
for n in range(1, N+1):
    print(num[n])

Buggy python submission (verdict: Time Limit Exceeded):
import math
N = int(input())
ans = 0
upper = int(math.sqrt(N))
for n in range(1, N+1):
    ans = 0
    for x in range(1, upper):
        for y  in range(1, upper):
            for z in range(1, upper):
                if x**2 + y**2 + z**2 + x*y + y*z + z*x == n:
                    ans += 1
                    #print((x, y, z))
    print(ans)

Fixed submission:
import math
N = int(input())
ans = 0
num = {i:0 for i in range(1, N+1)}
upper = int(math.sqrt(N)) + 1
for x in range(1, upper):
    for y  in range(1, upper):
        z = 1
        v = x**2 + y**2 + z**2 + x*y + y*z + z*x
        if v > N:
            break
        for z in range(1, upper):
            v = x**2 + y**2 + z**2 + x*y + y*z + z*x
            if v in num.keys():
                num[v] += 1
            if v > N:
                break
for n in range(1, N+1):
    print(num[n])