Pokémon X Hardcore Nuzlocke - Shiny Pokémon Only! (No items, No overleveling)

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Can I beat Pokémon X with only Shiny Pokémon using Hardcore Nuzlocke Rules?
Note: Shiny odds have been increased to 1 in 50 (ish)!
Normal Nuzlocke Ruleset:
1. Fainting = Death
2. Can only catch the first shiny Pokémon on each route (Species clause applies).
3. Nickname Pokémon
Hardcore Nuzlocke Ruleset:
4. No items in battle (held items okay)
5. No leveling past the next gym leader/E4 (at the START of the battle)
6. Play on "Set" battle mode
Additional Kalos Ruleset:
7. Anime Rule - Must match the party size of the gym leader and E4 members
8. No stat boosting moves
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