Editing Prestige Upgrades

== '''Prestige Upgrades''' ==
'''Prestige Upgrades''' are permanent stat multipliers purchased with '''Prestige Points'''. They unlock after your first '''Prestige''' and provide the core scaling mechanism for long-term progression, making each subsequent run significantly more powerful.

=== Unlocking Prestige Upgrades ===
Prestige Upgrades become available after you '''Prestige''' for the first time (reach Experience Level 100 and reset). Once unlocked, the '''Shop''' gains a "Prestige" mode button, allowing you to switch between:
* '''Coins''' mode - Standard shop upgrades
* '''Gems''' mode - Gem-purchased upgrades (unlocked at Wave 100 Milestone)
* '''Prestige''' mode - Prestige Point upgrades

=== Base vs Increase Levels ===
Each Prestige Upgrade has '''two separate upgrade tracks''' that correspond to the Base and Increase components of Shop upgrades:

* '''Base Level''' - Multiplies the '''base stat''' of matching Shop upgrades (typically +20% per level or more)
* '''Increase Level''' - Multiplies the '''increase stat''' of matching Shop upgrades (typically +10% per level)

These levels affect '''different components''' of your Shop upgrades. When you purchase Shop upgrades with Coins, each has a Base value (flat stat) and an Increase value (per-level multiplier). Your Prestige Upgrade Base level boosts the base component, while your Prestige Upgrade Increase level boosts the increase component.

'''Example:''' If you have a Shop Damage upgrade with 100 base damage and 10 damage per level, and you have Damage Prestige Upgrade at Base Level 10 and Increase Level 5:
* Your base damage becomes: 100 × (1 + 0.2 × 10) = 100 × 3 = '''300 base damage'''
* Your per-level damage becomes: 10 × (1 + 0.1 × 5) = 10 × 1.5 = '''15 damage per level'''

Both levels are valuable, and you can level them independently based on Prestige Point availability and cost scaling.

=== Available Prestige Upgrades ===

==== Combat Stats ====
* '''Damage''' - Multiplies your attack damage (base and per-level scaling)
** Base: Max 10,000 levels | Increase: Max 10,000 levels
** Formula: Exponential scaling (1 + 0.1x with 2x growth, capped at 500)
* '''Health''' - Multiplies your maximum health (base and per-level scaling)
** Base: Max 10,000 levels | Increase: Max 10,000 levels
** Formula: Exponential scaling (1 + 0.2x with 2x growth, capped at 500)
* '''Health Regen''' - Multiplies passive health regeneration
** Base: Max 10,000 levels | Increase: Max 10,000 levels
** Base: +20% per level | Increase: +10% per level
* '''Attack Speed''' - Multiplies attack rate
** Base: Max 10 levels | Increase: Max 10 levels
** Base: +20% per level | Increase: +10% per level
* '''Defense''' - Multiplies damage reduction
** Base: Max 400 levels | Increase: Max 300 levels
** Base: +20% per level | Increase: +10% per level

==== Critical Strikes ====
* '''Critical Chance''' - Multiplies chance to deal critical hits
** Base: Max 25 levels | Increase: Max 5 levels
** Base: +2% crit chance per level | Increase: +1% per level
* '''Critical Damage''' - Multiplies critical hit damage multiplier
** Base: Max 10 levels | Increase: Max 5 levels
** Base: +20% per level | Increase: +10% per level

==== Defensive ====
* '''Shield''' - Multiplies damage absorption
** Base: Max 100 levels | Increase: Max 100 levels
** Base: +20% per level | Increase: +10% per level

==== Crowd Control ====
* '''Stun Chance''' - Multiplies chance to stun enemies
** Base: Max 5 levels | Increase: Max 10 levels
** Base: +10% stun chance per level | Increase: +10% per level
* '''Stun Duration''' - Multiplies stun effect duration
** Base: Max 5 levels | Increase: Max 10 levels
** Base: +20% per level | Increase: +10% per level

==== Economy ====
* '''Coins per Enemy''' - Multiplies Coins earned per kill
** Base: Max 50 levels | Increase: Max 100 levels
** Base: +20% per level | Increase: +10% per level
* '''Cash per Enemy''' - Multiplies Bits earned per kill
** Base: Max 50 levels | Increase: Max 100 levels
** Base: +20% per level | Increase: +10% per level
* '''Experience per Enemy''' - Multiplies Experience gained per kill
** Base: Max 50 levels | Increase: Max 100 levels
** Base: +20% per level | Increase: +10% per level

==== Speed ====
* '''Speed Divider''' - Accelerates module timers (makes modules complete faster)
** Base: Max 10,000 levels | Increase: Max 20,000 levels
** Base: +20% per level | Increase: +10% per level
** '''High Cost:''' This upgrade is significantly more expensive than others (50 base cost vs 1 for most others)

=== Cost Scaling ===
Prestige Upgrades use '''escalating cost formulas''':

* '''Standard Upgrades''' - Cost: 1.2^level with 2x multiplier, capped at 5x per level
* '''Cheap Upgrades''' (Damage, Health, Health Regen) - Cost: 1 for first 5,000 levels, then 10,000 per level after
* '''Speed Divider''' - Cost: 50 base, complex formula with multiple breakpoints (50→45→40→35 cost reduction per tier)

The '''x1, x10, x100, Max''' purchase buttons allow bulk buying. The "Max" option calculates how many levels you can afford with your current Prestige Points.

=== Strategy ===

==== Early Game (First Few Prestiges) ====
* '''Priority:''' Damage (Base + Increase), Health (Base + Increase)
* '''Secondary:''' Speed Divider (even a few levels dramatically speed up runs)
* '''Reasoning:''' These provide immediate combat power and faster progression

==== Mid Game (10-50 Prestiges) ====
* '''Priority:''' Balance combat stats with economy upgrades
* '''Focus on:''' Coins/Cash per Enemy to accelerate Shop upgrade purchases
* '''Expand:''' Crit Chance, Crit Damage for burst damage
* '''Reasoning:''' Economy upgrades create compound growth with Shop upgrades

==== Late Game (50+ Prestiges) ====
* '''Priority:''' Max out Speed Divider for exponential time compression
* '''Push:''' All economy upgrades to maximum levels
* '''Complete:''' All combat stats to high levels
* '''Reasoning:''' Speed Divider becomes the ultimate force multiplier at high levels

==== Universal Tips ====
* '''Base vs Increase:''' Base levels affect your starting stats, Increase levels affect scaling per level. Both are important depending on your Shop upgrade levels
* '''Avoid Spreading Too Thin:''' Focus on 3-4 key upgrades early rather than buying everything at Level 1
* '''Speed Divider Value:''' Despite high cost, Speed Divider is one of the most impactful upgrades for total progression speed
* '''Check Shop Integration:''' Prestige Upgrades multiply your Shop upgrades, so invest in both systems for maximum power

=== Interaction with Other Systems ===
Prestige Upgrades multiply the stats from:
* '''Shop Upgrades''' (Coins) - Base stats and per-level increases purchased with Coins
* '''Gem Upgrades''' - Additional multipliers from Gems (unlocked at Wave 100 Milestone)
* '''System Weapons''' - Arsenal bonuses from System Weapon slots
* '''Boosts''' - Card collection multipliers

This multiplicative stacking means a 2x Prestige multiplier on a 5x Shop upgrade creates a '''10x total multiplier''', making balanced investment across all systems crucial for optimal progression.

=== Display and Math Details ===
In the Shop's Prestige mode, each upgrade shows:
* '''Current Level''' - Your Base and Increase levels
* '''Current Bonus''' - The active multiplier being applied to each component
* '''Cost''' - Prestige Points needed for next level
* '''Max Level''' - The upgrade's level cap

The math formulas ensure diminishing returns but never hard caps (until max level), encouraging continued investment while preventing any single upgrade from becoming overwhelmingly dominant.== '''Prestige Upgrades''' ==
'''Prestige Upgrades''' are permanent stat multipliers purchased with '''Prestige Points'''. They unlock after your first '''Prestige''' and provide the core scaling mechanism for long-term progression, making each subsequent run significantly more powerful.

=== Unlocking Prestige Upgrades ===
Prestige Upgrades become available after you '''Prestige''' for the first time (reach Experience Level 100 and reset). Once unlocked, the '''Shop''' gains a "Prestige" mode button, allowing you to switch between:
* '''Coins''' mode - Standard shop upgrades
* '''Gems''' mode - Gem-purchased upgrades (unlocked at Wave 100 Milestone)
* '''Prestige''' mode - Prestige Point upgrades

=== Base vs Increase Levels ===
Each Prestige Upgrade has '''two separate upgrade tracks''' that correspond to the Base and Increase components of Shop upgrades:

* '''Base Level''' - Multiplies the '''base stat''' of matching Shop upgrades (typically +20% per level or more)
* '''Increase Level''' - Multiplies the '''increase stat''' of matching Shop upgrades (typically +10% per level)

These levels affect '''different components''' of your Shop upgrades. When you purchase Shop upgrades with Coins, each has a Base value (flat stat) and an Increase value (per-level multiplier). Your Prestige Upgrade Base level boosts the base component, while your Prestige Upgrade Increase level boosts the increase component.

'''Example:''' If you have a Shop Damage upgrade with 100 base damage and 10 damage per level, and you have Damage Prestige Upgrade at Base Level 10 and Increase Level 5:
* Your base damage becomes: 100 × (1 + 0.2 × 10) = 100 × 3 = '''300 base damage'''
* Your per-level damage becomes: 10 × (1 + 0.1 × 5) = 10 × 1.5 = '''15 damage per level'''

Both levels are valuable, and you can level them independently based on Prestige Point availability and cost scaling.

=== Available Prestige Upgrades ===

==== Combat Stats ====
* '''Damage''' - Multiplies your attack damage (base and per-level scaling)
** Base: Max 10,000 levels | Increase: Max 10,000 levels
** Formula: Exponential scaling (1 + 0.1x with 2x growth, capped at 500)
* '''Health''' - Multiplies your maximum health (base and per-level scaling)
** Base: Max 10,000 levels | Increase: Max 10,000 levels
** Formula: Exponential scaling (1 + 0.2x with 2x growth, capped at 500)
* '''Health Regen''' - Multiplies passive health regeneration
** Base: Max 10,000 levels | Increase: Max 10,000 levels
** Base: +20% per level | Increase: +10% per level
* '''Attack Speed''' - Multiplies attack rate
** Base: Max 10 levels | Increase: Max 10 levels
** Base: +20% per level | Increase: +10% per level
* '''Defense''' - Multiplies damage reduction
** Base: Max 400 levels | Increase: Max 300 levels
** Base: +20% per level | Increase: +10% per level

==== Critical Strikes ====
* '''Critical Chance''' - Multiplies chance to deal critical hits
** Base: Max 25 levels | Increase: Max 5 levels
** Base: +2% crit chance per level | Increase: +1% per level
* '''Critical Damage''' - Multiplies critical hit damage multiplier
** Base: Max 10 levels | Increase: Max 5 levels
** Base: +20% per level | Increase: +10% per level

==== Defensive ====
* '''Shield''' - Multiplies damage absorption
** Base: Max 100 levels | Increase: Max 100 levels
** Base: +20% per level | Increase: +10% per level

==== Crowd Control ====
* '''Stun Chance''' - Multiplies chance to stun enemies
** Base: Max 5 levels | Increase: Max 10 levels
** Base: +10% stun chance per level | Increase: +10% per level
* '''Stun Duration''' - Multiplies stun effect duration
** Base: Max 5 levels | Increase: Max 10 levels
** Base: +20% per level | Increase: +10% per level

==== Economy ====
* '''Coins per Enemy''' - Multiplies Coins earned per kill
** Base: Max 50 levels | Increase: Max 100 levels
** Base: +20% per level | Increase: +10% per level
* '''Cash per Enemy''' - Multiplies Bits earned per kill
** Base: Max 50 levels | Increase: Max 100 levels
** Base: +20% per level | Increase: +10% per level
* '''Experience per Enemy''' - Multiplies Experience gained per kill
** Base: Max 50 levels | Increase: Max 100 levels
** Base: +20% per level | Increase: +10% per level

==== Speed ====
* '''Speed Divider''' - Accelerates module timers (makes modules complete faster)
** Base: Max 10,000 levels | Increase: Max 20,000 levels
** Base: +20% per level | Increase: +10% per level
** '''High Cost:''' This upgrade is significantly more expensive than others (50 base cost vs 1 for most others)

=== Cost Scaling ===
Prestige Upgrades use '''escalating cost formulas''':

* '''Standard Upgrades''' - Cost: 1.2^level with 2x multiplier, capped at 5x per level
* '''Cheap Upgrades''' (Damage, Health, Health Regen) - Cost: 1 for first 5,000 levels, then 10,000 per level after
* '''Speed Divider''' - Cost: 50 base, complex formula with multiple breakpoints (50→45→40→35 cost reduction per tier)

The '''x1, x10, x100, Max''' purchase buttons allow bulk buying. The "Max" option calculates how many levels you can afford with your current Prestige Points.

=== Strategy ===

==== Early Game (First Few Prestiges) ====
* '''Priority:''' Damage (Base + Increase), Health (Base + Increase)
* '''Secondary:''' Speed Divider (even a few levels dramatically speed up runs)
* '''Reasoning:''' These provide immediate combat power and faster progression

==== Mid Game (10-50 Prestiges) ====
* '''Priority:''' Balance combat stats with economy upgrades
* '''Focus on:''' Coins/Cash per Enemy to accelerate Shop upgrade purchases
* '''Expand:''' Crit Chance, Crit Damage for burst damage
* '''Reasoning:''' Economy upgrades create compound growth with Shop upgrades

==== Late Game (50+ Prestiges) ====
* '''Priority:''' Max out Speed Divider for exponential time compression
* '''Push:''' All economy upgrades to maximum levels
* '''Complete:''' All combat stats to high levels
* '''Reasoning:''' Speed Divider becomes the ultimate force multiplier at high levels

==== Universal Tips ====
* '''Base vs Increase:''' Base levels affect your starting stats, Increase levels affect scaling per level. Both are important depending on your Shop upgrade levels
* '''Avoid Spreading Too Thin:''' Focus on 3-4 key upgrades early rather than buying everything at Level 1
* '''Speed Divider Value:''' Despite high cost, Speed Divider is one of the most impactful upgrades for total progression speed
* '''Check Shop Integration:''' Prestige Upgrades multiply your Shop upgrades, so invest in both systems for maximum power

=== Interaction with Other Systems ===
Prestige Upgrades multiply the stats from:
* '''Shop Upgrades''' (Coins) - Base stats and per-level increases purchased with Coins
* '''Gem Upgrades''' - Additional multipliers from Gems (unlocked at Wave 100 Milestone)
* '''System Weapons''' - Arsenal bonuses from System Weapon slots
* '''Boosts''' - Card collection multipliers

This multiplicative stacking means a 2x Prestige multiplier on a 5x Shop upgrade creates a '''10x total multiplier''', making balanced investment across all systems crucial for optimal progression.

=== Display and Math Details ===
In the Shop's Prestige mode, each upgrade shows:
* '''Current Level''' - Your Base and Increase levels
* '''Current Bonus''' - The active multiplier being applied to each component
* '''Cost''' - Prestige Points needed for next level
* '''Max Level''' - The upgrade's level cap

The math formulas ensure diminishing returns but never hard caps (until max level), encouraging continued investment while preventing any single upgrade from becoming overwhelmingly dominant.