Problem:


Score : 300 points

Problem Statement

Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:

1 \leq x,y,z

x^2 + y^2 + z^2 + xy + yz + zx = n

Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).

Constraints

All values in input are integers.

1 \leq N \leq 10^4

Input

Input is given from Standard Input in the following format:

N

Output

Print N lines. The i-th line should contain the value f(i).

Sample Input 1

20

Sample Output 1

0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0

For n=6, only (1,1,1) satisfies both of the conditions. Thus, f(6) = 1.

For n=11, three triples, (1,1,2), (1,2,1), and (2,1,1), satisfy both of the conditions. Thus, f(6) = 3.

For n=17, three triples, (1,2,2), (2,1,2), and (2,2,1), satisfy both of the conditions. Thus, f(17) = 3.

For n=18, three triples, (1,1,3), (1,3,1), and (3,1,1), satisfy both of the conditions. Thus, f(18) = 3.



Sample input:
20


Sample output:
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0

Submission status: Wrong Answer

Solution code:
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]
n = int(input())
for i in range(n):
    print(ans[i])

Submission status: Wrong Answer

Solution code:
n=int(input())
y=[0 for _ in range(10**4+1)]
for j in range(1,100):
   for k in range(1,100):
      for u in range(1,100):
         a=j*j+k*k+u*u+j*k+k*u+u*j
         if a <= 10**4:
            y[a]+=1
for o in range(n):
   print(y[o])

Submission status: Wrong Answer

Solution code:
N = int(input())
A = []
for i in range(1,46):
  for j in range(1,46):
    for k in range(1,46):
      A.append(i**2+j**2+k**2+i*j+i*k+j*k)
A = sorted(A)
B = [0]*10001
for i in range(10000):
  B[A[i]] += 1
C = B[1:N+1]
[print(i) for i in C]

Submission status: Wrong Answer

Solution code:
N=int(input())
cnt=[0]*N

for i in range(1,N-2):
    if i**2+i<=N-i**2-i:
        for j in range(1,N-4):
            if j**2+j<=N-j**2-j:
                for k in range(1,N-4):
                    k**2+k<=N-k**2-k
                    n=i**2+i*j+j**2+j*k+k**2+k*i
                    if 1<=n<=N:
                        for l in range(1,N+1):
                            if n==l+1:    
                                cnt[l]+=1
[print(i) for i in cnt]

Submission status: Wrong Answer

Solution code:
import collections

n = int(input())
ans_list = []
for x in range(1,100):
  for y in range(1,100):
    for z in range(1,100):
      hoge = x*x+y*y+z*z+x*y+y*z+z*x
      if hoge < 10000:
        ans_list.append(hoge)

counter = collections.Counter(ans_list)
for i in range(n+1):
  print(counter[i])

Submission status: Wrong Answer

Solution code:
N = int(input())
cnt = 0

def f(x,y,z,n):
    r = x*x + y*y + z*z + x*y + y*z + z*x
    if r == n:
        return True

for t in range(1,N+1):
    cnt = 0
    for x in range(1,int(N/10)):
        if x*x > t:
            break
        for y in range(1,int(N/10)):
            if y*y > t or x*y > t:
                break
            for z in range(1,int(N/10)):
                if z*z > t or y*z > t or z*x > t:
                    break
                if f(x,y,z,t):
                    cnt = cnt + 1
    print(cnt)

Submission status: Wrong Answer

Solution code:
def ff(x,y,z):
    return(x**2+y**2+z**2+x*y+y*z+z*x)

n=int(input())
#an = []
#for i in range(1,50):
 #   for j in range(1,50):
  #      for k in range(1,50):
   #         wk=ff(i,j,k)
    #        if wk<=n:
     #           an.append(wk)
      #      else:
       #         break
an=[ff(i,j,k) for i in range(1,22) for j in range(1,22) for k in range(1,22)]

for i in range(1,n+1):
    print(an.count(i))

Submission status: Wrong Answer

Solution code:
import numpy as np


def function(N):
    for n in range(1, N+1):
        print('number='+str(n))
        if n < 6:
            print(0)
        else:
            ans = 0
            number = int(np.sqrt(2*n))
            X = [int(i) for i in range(2, number+1)]
            for x in X:
                Y = [int(i) for i in range(x, number+1)]
                for y in Y:
                    Z = [int(i) for i in range(y, number+1)]
                    for z in Z:
                        if x**2+y**2+z**2 == 2*n:
                            if x+y > z+1:
                                if x == y & y == z:
                                    ans += 1
                                    print(x, y, z)
                                else:
                                    ans += 3
                                    print(x, y, z)

            print(ans)


if __name__ == '__main__':
    N = int(input())
    function(N)