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Two Rats, a male and a female arrive on a deserted island on January 1st. On that day the female rat gives birth to 10 babies, 5 male and 5 female. This same female rat will have a new group of babies every 40 days afterwards and each time she will have 10 babies, 5 male and 5 female. Every female rat born on this island will have her first group of babies 120 days after the female was born and then have a new group of babies every 40 days after that. Each time she will have 10 babies, 5 female and 5 male. If no rats die or leave the island, and they have plenty of food then determine how many total rats will be on this island on January 1st exactly 1 year later after the original two rats arrived.

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