Why did the political chaos of the period of the warring states give rise to philosophies such as confucianism, legalism, and daoism?

The Warring States Period was not only a military rivalry for total regional supremacy, but an intellectual arms race that permitted The Hundred Schools of Thought to develop and guide the ultimate victor towards political unification through efficient and pragmatic governing practices.  There were three major philosophies that kings followed in hopes of uniting the several warring states under their own dominion: Confucianism, Daoism, and Legalism.  Confucianism apportioned with governance through the king’s virtue, Daoism sought balance through a lack of governing, and Legalism necessitate the state to strictly enforce laws in order to establish firm order throughout the kingdom.  There were nine main warring states that were swayed by traveling political advisers preaching their philosophies on good governance. All nine states sought control of the others, but eventually, the Qin state was victorious in militarily unifying the Middle Kingdom through fierce enforcement of strict Legalism (Ebrey, Walthall, Palais, pg 40).  However, the Qin state did not last, and it took a versatile combination of the three political philosophies to mold and govern the nine warring states into the unified and long-lasting political unit that was the Han Empire.