fix: rewrite prestige/transcendence formula and rebalance progression

apps/api/src/data/bosses.ts

@@ -353,7 +353,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "seraph_guardian",
     maxHp:               500_000_000,
     name:                "The Seraph Guardian",
-    prestigeRequirement: 6,
+    prestigeRequirement: 1,
     status:              "locked",
     upgradeRewards:      [ "click_4" ],
     zoneId:              "celestial_reaches",
@@ -371,7 +371,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "fallen_archangel",
     maxHp:               2_000_000_000,
     name:                "The Fallen Archangel",
-    prestigeRequirement: 7,
+    prestigeRequirement: 2,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "celestial_reaches",
@@ -389,7 +389,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "divine_judge",
     maxHp:               8_000_000_000,
     name:                "The Divine Judge",
-    prestigeRequirement: 8,
+    prestigeRequirement: 2,
     status:              "locked",
     upgradeRewards:      [ "divine_covenant" ],
     zoneId:              "celestial_reaches",
@@ -407,7 +407,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "celestial_titan",
     maxHp:               30_000_000_000,
     name:                "The Celestial Titan",
-    prestigeRequirement: 9,
+    prestigeRequirement: 2,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "celestial_reaches",
@@ -425,7 +425,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "the_first_light",
     maxHp:               100_000_000_000,
     name:                "The First Light",
-    prestigeRequirement: 10,
+    prestigeRequirement: 2,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "celestial_reaches",
@@ -444,7 +444,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "depth_leviathan",
     maxHp:               250_000_000_000,
     name:                "The Depth Leviathan",
-    prestigeRequirement: 9,
+    prestigeRequirement: 2,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "abyssal_trench",
@@ -462,7 +462,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "kraken_elder",
     maxHp:               1_000_000_000_000,
     name:                "The Elder Kraken",
-    prestigeRequirement: 10,
+    prestigeRequirement: 2,
     status:              "locked",
     upgradeRewards:      [ "abyssal_pact" ],
     zoneId:              "abyssal_trench",
@@ -480,7 +480,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "abyssal_colossus",
     maxHp:               4_000_000_000_000,
     name:                "The Abyssal Colossus",
-    prestigeRequirement: 11,
+    prestigeRequirement: 2,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "abyssal_trench",
@@ -498,7 +498,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "the_deep_one",
     maxHp:               15_000_000_000_000,
     name:                "The Deep One",
-    prestigeRequirement: 12,
+    prestigeRequirement: 3,
     status:              "locked",
     upgradeRewards:      [ "global_4" ],
     zoneId:              "abyssal_trench",
@@ -516,7 +516,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "elder_abomination",
     maxHp:               50_000_000_000_000,
     name:                "The Elder Abomination",
-    prestigeRequirement: 13,
+    prestigeRequirement: 3,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "abyssal_trench",
@@ -535,7 +535,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "demon_prince",
     maxHp:               120_000_000_000_000,
     name:                "The Demon Prince",
-    prestigeRequirement: 12,
+    prestigeRequirement: 3,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "infernal_court",
@@ -553,7 +553,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "hellfire_titan",
     maxHp:               500_000_000_000_000,
     name:                "The Hellfire Titan",
-    prestigeRequirement: 13,
+    prestigeRequirement: 3,
     status:              "locked",
     upgradeRewards:      [ "celestial_mandate" ],
     zoneId:              "infernal_court",
@@ -571,7 +571,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "lord_of_sin",
     maxHp:               2_000_000_000_000_000,
     name:                "The Lord of Sin",
-    prestigeRequirement: 14,
+    prestigeRequirement: 3,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "infernal_court",
@@ -589,7 +589,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "infernal_sovereign",
     maxHp:               6_000_000_000_000_000,
     name:                "The Infernal Sovereign",
-    prestigeRequirement: 15,
+    prestigeRequirement: 3,
     status:              "locked",
     upgradeRewards:      [ "click_5" ],
     zoneId:              "infernal_court",
@@ -607,7 +607,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "the_fallen",
     maxHp:               8_000_000_000_000_000,
     name:                "The Fallen",
-    prestigeRequirement: 16,
+    prestigeRequirement: 4,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "infernal_court",
@@ -626,7 +626,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "prism_golem",
     maxHp:               2e16,
     name:                "The Prism Golem",
-    prestigeRequirement: 15,
+    prestigeRequirement: 3,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "crystalline_spire",
@@ -644,7 +644,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "crystal_drake",
     maxHp:               8e16,
     name:                "The Crystal Drake",
-    prestigeRequirement: 16,
+    prestigeRequirement: 4,
     status:              "locked",
     upgradeRewards:      [ "void_ascendancy" ],
     zoneId:              "crystalline_spire",
@@ -662,7 +662,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "the_faceted",
     maxHp:               3e17,
     name:                "The Faceted",
-    prestigeRequirement: 17,
+    prestigeRequirement: 4,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "crystalline_spire",
@@ -680,7 +680,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "diamond_colossus",
     maxHp:               1e18,
     name:                "The Diamond Colossus",
-    prestigeRequirement: 18,
+    prestigeRequirement: 4,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "crystalline_spire",
@@ -698,7 +698,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "crystal_sovereign",
     maxHp:               4e18,
     name:                "The Crystal Sovereign",
-    prestigeRequirement: 19,
+    prestigeRequirement: 4,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "crystalline_spire",
@@ -717,7 +717,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "void_herald",
     maxHp:               1e19,
     name:                "The Void Herald",
-    prestigeRequirement: 18,
+    prestigeRequirement: 4,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "void_sanctum",
@@ -735,7 +735,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "eternal_shade",
     maxHp:               5e19,
     name:                "The Eternal Shade",
-    prestigeRequirement: 19,
+    prestigeRequirement: 4,
     status:              "locked",
     upgradeRewards:      [ "divine_harmony" ],
     zoneId:              "void_sanctum",
@@ -753,7 +753,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "the_unmaker",
     maxHp:               2e20,
     name:                "The Unmaker",
-    prestigeRequirement: 20,
+    prestigeRequirement: 5,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "void_sanctum",
@@ -771,7 +771,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "void_progenitor",
     maxHp:               8e20,
     name:                "The Void Progenitor",
-    prestigeRequirement: 21,
+    prestigeRequirement: 5,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "void_sanctum",
@@ -789,7 +789,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "void_emperor",
     maxHp:               3e21,
     name:                "The Void Emperor",
-    prestigeRequirement: 22,
+    prestigeRequirement: 5,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "void_sanctum",
@@ -808,7 +808,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "throne_warden",
     maxHp:               1e22,
     name:                "The Throne Warden",
-    prestigeRequirement: 21,
+    prestigeRequirement: 5,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "eternal_throne",
@@ -826,7 +826,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "eternal_knight",
     maxHp:               5e22,
     name:                "The Eternal Knight",
-    prestigeRequirement: 22,
+    prestigeRequirement: 5,
     status:              "locked",
     upgradeRewards:      [ "infernal_fury" ],
     zoneId:              "eternal_throne",
@@ -844,7 +844,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "the_undying",
     maxHp:               2e23,
     name:                "The Undying",
-    prestigeRequirement: 23,
+    prestigeRequirement: 5,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "eternal_throne",
@@ -862,7 +862,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "apex_sovereign",
     maxHp:               8e23,
     name:                "The Apex Sovereign",
-    prestigeRequirement: 24,
+    prestigeRequirement: 5,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "eternal_throne",
@@ -880,7 +880,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "the_apex",
     maxHp:               3e24,
     name:                "The Apex",
-    prestigeRequirement: 25,
+    prestigeRequirement: 6,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "eternal_throne",
@@ -899,7 +899,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "chaos_wyrm",
     maxHp:               1e26,
     name:                "The Chaos Wyrm",
-    prestigeRequirement: 26,
+    prestigeRequirement: 6,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "primordial_chaos",
@@ -917,7 +917,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "creation_engine",
     maxHp:               5e27,
     name:                "The Creation Engine",
-    prestigeRequirement: 27,
+    prestigeRequirement: 6,
     status:              "locked",
     upgradeRewards:      [ "aether_weaver_1" ],
     zoneId:              "primordial_chaos",
@@ -935,7 +935,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "entropy_avatar",
     maxHp:               2e29,
     name:                "The Entropy Avatar",
-    prestigeRequirement: 29,
+    prestigeRequirement: 7,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "primordial_chaos",
@@ -953,7 +953,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "primordial_titan",
     maxHp:               8e30,
     name:                "The Primordial Titan",
-    prestigeRequirement: 31,
+    prestigeRequirement: 7,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "primordial_chaos",
@@ -972,7 +972,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "expanse_drifter",
     maxHp:               3e33,
     name:                "The Expanse Drifter",
-    prestigeRequirement: 33,
+    prestigeRequirement: 8,
     status:              "locked",
     upgradeRewards:      [ "titan_warrior_1" ],
     zoneId:              "infinite_expanse",
@@ -990,7 +990,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "horizon_beast",
     maxHp:               1e37,
     name:                "The Horizon Beast",
-    prestigeRequirement: 35,
+    prestigeRequirement: 8,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "infinite_expanse",
@@ -1008,7 +1008,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "infinity_construct",
     maxHp:               5e40,
     name:                "The Infinity Construct",
-    prestigeRequirement: 37,
+    prestigeRequirement: 8,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "infinite_expanse",
@@ -1026,7 +1026,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "expanse_sovereign",
     maxHp:               2e44,
     name:                "The Expanse Sovereign",
-    prestigeRequirement: 39,
+    prestigeRequirement: 9,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "infinite_expanse",
@@ -1045,7 +1045,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "forge_guardian",
     maxHp:               8e47,
     name:                "The Forge Guardian",
-    prestigeRequirement: 41,
+    prestigeRequirement: 9,
     status:              "locked",
     upgradeRewards:      [ "nexus_sage_1" ],
     zoneId:              "reality_forge",
@@ -1063,7 +1063,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "reality_shaper",
     maxHp:               4e52,
     name:                "The Reality Shaper",
-    prestigeRequirement: 44,
+    prestigeRequirement: 10,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "reality_forge",
@@ -1081,7 +1081,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "creation_prime",
     maxHp:               2e57,
     name:                "The Creation Prime",
-    prestigeRequirement: 47,
+    prestigeRequirement: 11,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "reality_forge",
@@ -1099,7 +1099,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "reality_architect",
     maxHp:               8e61,
     name:                "The Reality Architect",
-    prestigeRequirement: 49,
+    prestigeRequirement: 11,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "reality_forge",
@@ -1118,7 +1118,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "storm_colossus",
     maxHp:               4e65,
     name:                "The Storm Colossus",
-    prestigeRequirement: 51,
+    prestigeRequirement: 12,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "cosmic_maelstrom",
@@ -1136,7 +1136,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "force_prime",
     maxHp:               2e71,
     name:                "The Force Prime",
-    prestigeRequirement: 54,
+    prestigeRequirement: 12,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "cosmic_maelstrom",
@@ -1154,7 +1154,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "maelstrom_god",
     maxHp:               1e77,
     name:                "The Maelstrom God",
-    prestigeRequirement: 57,
+    prestigeRequirement: 13,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "cosmic_maelstrom",
@@ -1172,7 +1172,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "cosmic_annihilator",
     maxHp:               5e82,
     name:                "The Cosmic Annihilator",
-    prestigeRequirement: 59,
+    prestigeRequirement: 13,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "cosmic_maelstrom",
@@ -1191,7 +1191,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "ancient_sentinel",
     maxHp:               2e88,
     name:                "The Ancient Sentinel",
-    prestigeRequirement: 61,
+    prestigeRequirement: 14,
     status:              "locked",
     upgradeRewards:      [ "astral_sovereign_1" ],
     zoneId:              "primeval_sanctum",
@@ -1209,7 +1209,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "time_elder",
     maxHp:               1e95,
     name:                "The Time Elder",
-    prestigeRequirement: 65,
+    prestigeRequirement: 15,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "primeval_sanctum",
@@ -1227,7 +1227,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "origin_beast",
     maxHp:               8e101,
     name:                "The Origin Beast",
-    prestigeRequirement: 69,
+    prestigeRequirement: 16,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "primeval_sanctum",
@@ -1245,7 +1245,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "primeval_god",
     maxHp:               5e108,
     name:                "The Primeval God",
-    prestigeRequirement: 74,
+    prestigeRequirement: 17,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "primeval_sanctum",
@@ -1264,7 +1264,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "absolute_herald",
     maxHp:               2e116,
     name:                "The Absolute Herald",
-    prestigeRequirement: 76,
+    prestigeRequirement: 17,
     status:              "locked",
     upgradeRewards:      [ "primordial_mage_1" ],
     zoneId:              "the_absolute",
@@ -1282,7 +1282,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "void_convergence",
     maxHp:               1e125,
     name:                "The Void Convergence",
-    prestigeRequirement: 79,
+    prestigeRequirement: 18,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "the_absolute",
@@ -1300,7 +1300,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "eternal_end",
     maxHp:               5e134,
     name:                "The Eternal End",
-    prestigeRequirement: 83,
+    prestigeRequirement: 19,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "the_absolute",
@@ -1318,7 +1318,7 @@ export const defaultBosses: Array<Boss> = [
     id:                  "the_absolute_one",
     maxHp:               2e145,
     name:                "The Absolute One",
-    prestigeRequirement: 88,
+    prestigeRequirement: 20,
     status:              "locked",
     upgradeRewards:      [],
     zoneId:              "the_absolute",

apps/api/src/data/transcendenceUpgrades.ts

@@ -11,7 +11,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   // ── Income multipliers ──────────────────────────────────────────────────────
   {
     category: "income",
-    cost:     5,
+    cost:     2,
     description:
       "The echoes of past runs linger, amplifying your guild's income by 25%.",
     id:         "echo_income_1",
@@ -20,7 +20,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "income",
-    cost:     10,
+    cost:     4,
     description:
       "Your transcendent experience resonates through your guild, boosting income by 50%.",
     id:         "echo_income_2",
@@ -29,7 +29,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "income",
-    cost:     20,
+    cost:     8,
     description:
       "The harmony of multiple timelines surges through your guild, doubling its income.",
     id:         "echo_income_3",
@@ -38,7 +38,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "income",
-    cost:     40,
+    cost:     16,
     description:
       "Ethereal energy overflows from your transcendence, tripling your guild's income.",
     id:         "echo_income_4",
@@ -47,7 +47,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "income",
-    cost:     80,
+    cost:     32,
     description:
       "The infinite chorus of every run you've ever played amplifies your guild fivefold.",
     id:         "echo_income_5",
@@ -58,7 +58,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   // ── Combat multipliers ──────────────────────────────────────────────────────
   {
     category: "combat",
-    cost:     5,
+    cost:     2,
     description:
       "Memories of countless battles harden your adventurers, increasing party DPS by 25%.",
     id:         "echo_combat_1",
@@ -67,7 +67,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "combat",
-    cost:     15,
+    cost:     6,
     description:
       "Veterans of transcendence know how to fight smarter, boosting party DPS by 50%.",
     id:         "echo_combat_2",
@@ -76,7 +76,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "combat",
-    cost:     35,
+    cost:     12,
     description:
       "Your warriors carry the strength of every fallen timeline, doubling party DPS.",
     id:         "echo_combat_3",
@@ -87,7 +87,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   // ── Prestige threshold reductions ──────────────────────────────────────────
   {
     category: "prestige_threshold",
-    cost:     8,
+    cost:     3,
     description:
       "Experience from past lives shortens the road to prestige — threshold reduced by 10%.",
     id:         "echo_prestige_threshold_1",
@@ -96,7 +96,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "prestige_threshold",
-    cost:     20,
+    cost:     6,
     description:
       "You've walked this path so many times you know every shortcut — threshold reduced by 20%.",
     id:         "echo_prestige_threshold_2",
@@ -107,7 +107,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   // ── Prestige runestone multipliers ─────────────────────────────────────────
   {
     category: "prestige_runestones",
-    cost:     8,
+    cost:     3,
     description:
       "Transcendent insight attunes you to the runestones, earning 50% more per prestige.",
     id:         "echo_prestige_runestones_1",
@@ -116,7 +116,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "prestige_runestones",
-    cost:     20,
+    cost:     6,
     description:
       "You have mastered the art of runestone crafting, doubling your prestige runestone yield.",
     id:         "echo_prestige_runestones_2",
@@ -127,7 +127,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   // ── Echo meta multipliers ───────────────────────────────────────────────────
   {
     category: "echo_meta",
-    cost:     50,
+    cost:     25,
     description:
       "Your transcendence resonates deeper, amplifying future echo yields by 25%.",
     id:         "echo_meta_1",
@@ -136,7 +136,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "echo_meta",
-    cost:     150,
+    cost:     75,
     description:
       "Each loop of existence makes the next more powerful — future echo yields +50%.",
     id:         "echo_meta_2",
@@ -145,7 +145,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "echo_meta",
-    cost:     400,
+    cost:     200,
     description:
       "You have mastered the infinite spiral of transcendence, doubling all future echo yields.",
     id:         "echo_meta_3",

apps/api/src/services/prestige.ts

@@ -15,7 +15,6 @@ import type {
 } from "@elysium/types";
 
 const basePrestigeGoldThreshold = 1_000_000;
-const thresholdScaleFactor = 5;
 const runestonesPerPrestigeLevel = 10;
 const milestoneInterval = 5;
 const milestoneRunestonesPerInterval = 25;
@@ -29,7 +28,8 @@ const maxBaseRunestones = 200;
 
 /**
  * Calculates the gold threshold required for the next prestige.
- * Formula: BASE * SCALE_FACTOR^prestigeCount — each prestige makes the next threshold harder.
+ * Formula: BASE * (count + 1)^2 — polynomial growth that peaks around prestige 8–10
+ * then gets easier as the production multiplier overtakes it.
  * @param prestigeCount - The current number of prestiges completed.
  * @param thresholdMultiplier - An optional echo-upgrade multiplier applied to the threshold.
  * @returns The gold amount required to prestige.
@@ -40,7 +40,7 @@ const calculatePrestigeThreshold = (
 ): number => {
   return (
     basePrestigeGoldThreshold
-    * Math.pow(thresholdScaleFactor, prestigeCount)
+    * Math.pow(prestigeCount + 1, 2)
     * thresholdMultiplier
   );
 };
@@ -146,14 +146,15 @@ const calculateRunestones = (parameters: RunestoneParameters): number => {
 
 /**
  * Calculates the new prestige production multiplier.
- * Formula: 1.15^prestigeCount — exponential scaling per prestige.
+ * Formula: 1.25^prestigeCount — exponential scaling per prestige that eventually
+ * overtakes the polynomial threshold growth, making late prestiges progressively easier.
  * @param prestigeCount - The new prestige count.
  * @returns The production multiplier for the new prestige level.
  */
 const calculateProductionMultiplier = (
   prestigeCount: number,
 ): number => {
-  return Math.pow(1.15, prestigeCount);
+  return Math.pow(1.25, prestigeCount);
 };
 
 /**

apps/api/src/services/transcendence.ts

@@ -20,7 +20,7 @@ const finalBossId = "the_absolute_one";
 /**
  * Base constant used in the echo yield formula.
  */
-const echoFormulaConstant = 853;
+const echoFormulaConstant = 224;
 
 const getCategoryMultiplier = (
   purchasedIds: Array<string>,

apps/api/test/routes/transcendence.spec.ts

@@ -158,7 +158,7 @@ describe("transcendence route", () => {
       const res = await post("/buy-upgrade", { upgradeId: "echo_income_1" });
       expect(res.status).toBe(200);
       const body = await res.json() as { echoesRemaining: number; purchasedUpgradeIds: string[] };
-      expect(body.echoesRemaining).toBe(95); // 100 - 5
+      expect(body.echoesRemaining).toBe(98); // 100 - 2
       expect(body.purchasedUpgradeIds).toContain("echo_income_1");
     });
 

apps/api/test/services/prestige.spec.ts

@@ -55,15 +55,18 @@ const makeMinimalState = (overrides: Partial<GameState> = {}): GameState =>
 
 describe("calculatePrestigeThreshold", () => {
   it("returns base threshold at count 0", () => {
+    // base × (0+1)^2 = 1_000_000 × 1 = 1_000_000
     expect(calculatePrestigeThreshold(0)).toBe(1_000_000);
   });
 
-  it("returns 5× at count 1", () => {
+  it("returns 4× base at count 1", () => {
-    expect(calculatePrestigeThreshold(1)).toBe(5_000_000);
+    // base × (1+1)^2 = 1_000_000 × 4 = 4_000_000
+    expect(calculatePrestigeThreshold(1)).toBe(4_000_000);
   });
 
-  it("returns 25× at count 2", () => {
+  it("returns 9× base at count 2", () => {
-    expect(calculatePrestigeThreshold(2)).toBe(25_000_000);
+    // base × (2+1)^2 = 1_000_000 × 9 = 9_000_000
+    expect(calculatePrestigeThreshold(2)).toBe(9_000_000);
   });
 
   it("applies threshold multiplier correctly", () => {
@@ -128,12 +131,12 @@ describe("calculateProductionMultiplier", () => {
     expect(calculateProductionMultiplier(0)).toBe(1);
   });
 
-  it("returns 1.15 at count 1", () => {
+  it("returns 1.25 at count 1", () => {
-    expect(calculateProductionMultiplier(1)).toBeCloseTo(1.15);
+    expect(calculateProductionMultiplier(1)).toBeCloseTo(1.25);
   });
 
   it("scales exponentially", () => {
-    expect(calculateProductionMultiplier(10)).toBeCloseTo(Math.pow(1.15, 10));
+    expect(calculateProductionMultiplier(10)).toBeCloseTo(Math.pow(1.25, 10));
   });
 });
 

apps/api/test/services/transcendence.spec.ts

@@ -97,20 +97,21 @@ describe("isEligibleForTranscendence", () => {
 
 describe("calculateEchoes", () => {
   it("handles prestige count of 0 by treating it as 1", () => {
-    // safeCount = max(0, 1) = 1; floor(853 / sqrt(1)) = 853
+    // safeCount = max(0, 1) = 1; floor(224 / sqrt(1)) = 224
-    expect(calculateEchoes(0, 1)).toBe(853);
+    expect(calculateEchoes(0, 1)).toBe(224);
   });
 
   it("calculates echoes at count 1", () => {
-    expect(calculateEchoes(1, 1)).toBe(853);
+    // floor(224 / sqrt(1)) = 224
+    expect(calculateEchoes(1, 1)).toBe(224);
   });
 
   it("decreases echoes with higher prestige count", () => {
     const echoesAt1 = calculateEchoes(1, 1);
     const echoesAt4 = calculateEchoes(4, 1);
     expect(echoesAt4).toBeLessThan(echoesAt1);
-    // floor(853 / sqrt(4)) = floor(853 / 2) = 426
+    // floor(224 / sqrt(4)) = floor(224 / 2) = 112
-    expect(echoesAt4).toBe(426);
+    expect(echoesAt4).toBe(112);
   });
 
   it("applies echoMetaMultiplier", () => {
@@ -118,6 +119,11 @@ describe("calculateEchoes", () => {
     const withMult = calculateEchoes(1, 2);
     expect(withMult).toBe(base * 2);
   });
+
+  it("returns 50 echoes at the target prestige 20", () => {
+    // floor(224 / sqrt(20)) = floor(224 / 4.472) = floor(50.09) = 50
+    expect(calculateEchoes(20, 1)).toBe(50);
+  });
 });
 
 describe("buildPostTranscendenceState", () => {