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The time complexity is proportional to the sum of the moduli (excluding the first one), expressed as O($m_2 + m_3$ + ... + $m_k$). This is because each stage of the iterative search requires at most $m_i$ steps to find a solution or prove none exists for the i-th congruence.

Conditions: The moduli are pairwise coprime.; Naive iteration is used to find the multiplier for each step.

The time complexity is proportional to the sum of the moduli (excluding the first one), expressed as O($m_2 + m_3$ + ... + $m_k$). This is because each stage of the iterative search requires at most $m_i$ steps to find a solution or prove none exists for the i-th congruence.

Conditions: The moduli are pairwise coprime.; Naive iteration is used to find the multiplier for each step.