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The first they learnt to match Carthaginian sea-supremacy.
After the second they imposed a crippling 50-year financial indemnity to restrich its ability to have and effective force as Carthage relied on mercenary soldiers.
Carthaginians were such good traders they had the indemnity covered withinin ten years, raising fears in Rome, which used its North African allies to harras the city.
Eventually war broke out again, and Rome decided to end the problem by destroying the city and selling its people into slavery.