{}
import numpy as np
def simulate_once_with_flame_gold(
total_pulls,
pity_limit=80,
ssr_rate=0.0075,
sr_rate=0.12,
flame_gold_cost=120,
starting_pity=0,
starting_last_ssrs=None,
starting_flame_gold=0
):
pity = starting_pity
limited_copies = 0
flame_gold = starting_flame_gold
last_ssrs = list(starting_last_ssrs) if starting_last_ssrs else []
for _ in range(total_pulls):
flame_gold += 1 # +1 base flame gold per pull
if pity == pity_limit - 1:
ssr_draw = True
pity_triggered = True
else:
ssr_draw = np.random.rand() < ssr_rate
pity_triggered = False
if ssr_draw:
# Hidden pity rule: determines next SSR type
if len(last_ssrs) >= 2:
if last_ssrs[-1] == 'S' and last_ssrs[-2] == 'S':
ssr_type = 'L' # Guaranteed limited
elif last_ssrs[-1] == 'L' and last_ssrs[-2] == 'L':
ssr_type = 'S' # Guaranteed standard
else:
ssr_type = 'L' if np.random.rand() < 0.5 else 'S'
else:
ssr_type = 'L' if np.random.rand() < 0.5 else 'S'
last_ssrs.append(ssr_type)
if len(last_ssrs) > 2:
last_ssrs.pop(0)
if ssr_type == 'L':
limited_copies += 1
else:
flame_gold += 10 # +10 extra flame gold for standard SSR dupe
if pity_triggered:
pity = 0
else:
pity += 1 # pity is not reset if SSR was pulled outside pity
else:
pity += 1 # Increase pity if no SSR
# Check for SR pull (only within non-SSR pulls)
if np.random.rand() < sr_rate / (1 - ssr_rate):
flame_gold += 1 # +1 extra flame gold for SR dupe
# Use flame gold to buy limited copies
copies_from_shop = flame_gold // flame_gold_cost
total_limited_copies = limited_copies + copies_from_shop
return total_limited_copies
def estimate_probability_flame_gold(
total_pulls,
target_copies,
simulations=100000,
starting_pity=0,
starting_last_ssrs=None,
starting_flame_gold=0
):
success = 0
for _ in range(simulations):
if simulate_once_with_flame_gold(
total_pulls,
starting_pity=starting_pity,
starting_last_ssrs=starting_last_ssrs,
starting_flame_gold=starting_flame_gold
) >= target_copies:
success += 1
return success / simulations
def main():
print("🎯 Tower of Fantasy Limited Banner Simulation with Flame Gold 🎯")
total_pulls = int(input("🎫 Total number of pulls: "))
target_copies = int(input("🎯 Target number of limited SSR copies (including shop purchases): "))
simulations = int(input("📊 Number of simulations (e.g. 100000): "))
starting_pity = int(input("⏱️ Current pity count (pulls since last pity SSR): "))
history_input = input("📜 Last two SSRs pulled (e.g. SL, SS, LS, LL or blank): ").upper().strip()
if len(history_input) == 2 and all(c in ['S', 'L'] for c in history_input):
starting_last_ssrs = list(history_input)
else:
starting_last_ssrs = []
starting_flame_gold = int(input("💰 Current amount of flame gold: "))
prob = estimate_probability_flame_gold(
total_pulls,
target_copies,
simulations,
starting_pity=starting_pity,
starting_last_ssrs=starting_last_ssrs,
starting_flame_gold=starting_flame_gold
)
print(f"\n📈 Probability of obtaining at least {target_copies} limited SSR copies in {total_pulls} pulls: {prob * 100:.2f}%")
if __name__ == "__main__":
main()