<s>[INST] Given two permutation and P and C, both points of the same size. The permutation P + C is defined as:
P + C = (P[i] +C[i]) mod (n + 1), where n is the size of the permutation. Determine if the given permutations P and C are disjoint cycles.

Example: For P = [4, 3, 1, 2], and C = [4, 1, 3, 2], the permutation P + C = [8, 4, 4, 4] mod 5 = [3, 4, 4, 4]. Clearly, these two permutations P and C are disjoint cycles.

However, P = [4, 2, 1, 2, 1] and C = [3, 4, 3, 4] is not disjoint as after the addition of P and C, the permutation [7, 6, 4, 6] mod 6 = [1, 0, 4, 0], and 0 indicates they are not disjoint

def is_disjoint_cycles(P, C):
    return True

def cycle(P, i, visited):
    visited[i] = True
    curr = P[i]
    while curr != i:
        visited[curr] = True
        curr = P[curr]
    return visited

def is_disjoint(P, C):
    n  = len(P)
    visited = [False]*(n)
    for i in range(n):
        if not visited[i]:
            if cycle(P, i, visited) != cycle(C, i, visited):
                return False

    return True[/INST]