Orbital and state correlation diagram for ring-closure of pentadienyl to a cyclic allyl

This is an exam question. I am to construct the orbital and state correlation diagram for one of the reaction below (disrotation or conratation). Also, I should explain whether the reaction is thermally or photochemically allowed.


[![enter image description here](https://i.stack.imgur.com/lRCHV.png)](https://i.stack.imgur.com/lRCHV.png)


I know the procedure to these kinds of problems:


1. Draw (Hückel) π orbitals of the reactant
2. Draw relevant orbitals of the product. Here: π and newly formed σ orbitals
3. Identify the symmetry element that is preserved through the reaction (common for reactant and product)
4. Assign symmetry labels to orbitals
5. Correlate orbitals of same symmetry


I know what the molecular orbitals of the reactant looks like, but I am unsure about those of the product. Here's what I have


[![enter image description here](https://i.stack.imgur.com/tqbOn.jpg)](https://i.stack.imgur.com/tqbOn.jpg)


Using the vertical reflection plane perpendicular the screen, I get the MO's of both reactant and product (in the order from bottom to top) to have the following symmetries: S, A, S, A, S. However, the orbital correlation diagram will be very boring if this is correct, and the reaction will be allowed both thermally and photochemically.


So are the product orbitals correct? I just assumed that an in-phase and out-of-phase combination of the π orbitals on C1 and C5 lead to the desired σ orbitals. Or perhaps my ordering is incorrect?


Final orbital correlation diagram:
[![enter image description here](https://i.stack.imgur.com/I2ziU.jpg)](https://i.stack.imgur.com/I2ziU.jpg)




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Concerning the state correlation diagram, I look at the electron configurations of the states of interest, which I take to be $S\_0$, $S\_1$, and $S\_2$. I find the symmetry of each state by multiplying the symmetry of each electron in every MO. However, should I just draw straight lines between each state? The corresponding states are of the same symmetry, so no avoided crossings occur. I don't see whether the reaction is thermally or photochemically allowed from the state correlation diagram. Or did I do something wrong?


Electron configurations:
[![enter image description here](https://i.stack.imgur.com/lgLsp.jpg)](https://i.stack.imgur.com/lgLsp.jpg)


Non-finished state correlation diagram:
[![enter image description here](https://i.stack.imgur.com/CResf.jpg)](https://i.stack.imgur.com/CResf.jpg)


