Buggy python submission (verdict: Runtime Error):
# -*- coding: utf-8 -*-
from itertools import combinations
import numpy as np

def solve():
    N = int(input())
    E = np.array([[0,1],[0,0]])
    for i in range((N-1).bit_length()-1):
        E_ = E+(E>0)
        E = np.block([[E_,np.ones_like(E)],[np.zeros_like(E), E_]])
    res = '\n'.join(' '.join(map(str,e[i+1:N+1])) for i, e in enumerate(E[:N+1]))
    return str(res)

if __name__ == '__main__':
    print(solve())

Fixed submission:
# -*- coding: utf-8 -*-
import numpy as np

def solve():
    N = int(input())
    E = np.array([[0,1],[0,0]])
    for i in range((N-1).bit_length()-1):
        E_ = E+(E>0)
        E = np.vstack([np.hstack([E_,np.ones_like(E)]),np.hstack([np.zeros_like(E), E_])])
    res = '\n'.join(' '.join(map(str,e[i+1:N])) for i, e in enumerate(E[:N]))
    return str(res)

if __name__ == '__main__':
    print(solve())

Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
from itertools import combinations

def solve():
    N = int(input())
    #(i,j) -> E[i-1][j-2], i < j
    E = [[0 for j in range(N+1)] for i in range(N+1)]
    E[1][2] = 1
    cl = {1}
    for j in range(3,N+1):
        for i in range(j-1,0,-1):
            cl_ = cl.copy()
            for k in range(i+1,j):
                if E[i][k] == E[k][j]:
                    cl_ -= {E[i][k]}
            if cl-cl_:
                if cl_:
                    E[i][j] = min(cl_)
                else:
                    E[i][j] = max(cl)+1
                    cl.add(E[i][j])
            else:
                E[i][j] = 1
                
                    
    
    res = '\n'.join(' '.join(map(str,e[i+2:])) for i, e in enumerate(E[1:]))
    return str(res)

if __name__ == '__main__':
    print(solve())

Fixed submission:
# -*- coding: utf-8 -*-
import numpy as np

def solve():
    N = int(input())
    E = np.array([[0,1],[0,0]])
    for i in range((N-1).bit_length()-1):
        E_ = E+(E>0)
        E = np.vstack([np.hstack([E_,np.ones_like(E)]),np.hstack([np.zeros_like(E), E_])])
    res = '\n'.join(' '.join(map(str,e[i+1:N])) for i, e in enumerate(E[:N]))
    return str(res)

if __name__ == '__main__':
    print(solve())

Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
def solve():
    N = int(input())
    #(i,j) -> E[i-1][j-2], i < j
    E = [[0 for j in range(N+1)] for i in range(N+1)]
    E[1][2] = 1
    cl = {1}
    for j in range(3,N+1):
        for i in range(j-1,0,-1):
            if all(E[i][k] != E[k][j] for k in range(i+1,j)):
                E[i][j] = 1
            else:
                cl_ = cl - set(E[i][k] for k in range(i+1,j) if E[i][k] == E[k][j]) - {0}
                if cl_:
                    E[i][j] = min(cl_)
                else:
                    E[i][j] = max(cl)+1
                    cl.add(E[i][j])
                    
    
    res = '\n'.join(' '.join(map(str,e[i+2:])) for i, e in enumerate(E[1:]))
    return str(res)

if __name__ == '__main__':
    print(solve())

Fixed submission:
# -*- coding: utf-8 -*-
import numpy as np

def solve():
    N = int(input())
    E = np.array([[0,1],[0,0]])
    for i in range((N-1).bit_length()-1):
        E_ = E+(E>0)
        E = np.vstack([np.hstack([E_,np.ones_like(E)]),np.hstack([np.zeros_like(E), E_])])
    res = '\n'.join(' '.join(map(str,e[i+1:N])) for i, e in enumerate(E[:N]))
    return str(res)

if __name__ == '__main__':
    print(solve())