import matplotlib.pyplot as plt
import numpy as np

# Initial population
population = 1_000_000
death_rate = 0.10
years = np.arange(0, 1001, 100)  # 0 to 1000 years in 100-year intervals

# Calculate population after each 100-year interval
population_values = [population]
for year in years[1:]:
    population -= death_rate * population
    population_values.append(population)

# Create the graph
plt.figure(figsize=(8, 6))
plt.plot(years, population_values, marker='o', linestyle='-', color='b')
plt.xlabel('Years')
plt.ylabel('Population')
plt.title('Population Projection')
plt.grid(True)
plt.show()