*Xmasium*(by analogy with the famous elements Rubidium, Caesium, and Francium). Xmasium exists in three different types: There is α-Xmasium, β-Xmasium, and γ-Xmasium. If two Xmasium-atoms of different type collide, they sometimes merge into a single atom of the third type. If two Xmasium-atoms of the same type collide, they repel each other and nothing else happens.

Ruprecht puts 91 α-Xmasium-atoms, 25 β-Xmasium-atoms, and 4 γ-Xmasium-atoms into a cooking pot, covers it, and then leaves for lunch. When he returns, he notices that all Xmasium-atoms in the pot now are of the same type.

What is the largest possible number

*z*of Xmasium-atoms in the pot at that moment?

- This largest possible number satisfies 20 ≤
*z*≤ 23.

- This largest possible number satisfies 24 ≤
*z*≤ 27.

- This largest possible number satisfies 28 ≤
*z*≤ 31.

- This largest possible number satisfies 32 ≤
*z*≤ 35.

- This largest possible number satisfies 36 ≤
*z*≤ 39.

- This largest possible number satisfies 40 ≤
*z*≤ 43.

- This largest possible number satisfies 44 ≤
*z*≤ 47.

- This largest possible number satisfies 48 ≤
*z*≤ 51.

- This largest possible number satisfies 52 ≤
*z*≤ 55.

- This largest possible number satisfies 56 ≤
*z*≤ 59.