SEOUL, South Korea (AP) — The rival Koreas moved toward easing their bitter animosity Tuesday during rare talks, with North Korea agreeing to take part in next month's Winter Olympics in South Korea. The countries also agreed to hold more discussions on reducing tension along their border and to reopen a military hotline. The first meeting of its kind between the nations in about two years was arranged after North Korean leader Kim Jong Un made an abrupt push for improved ties with South Korea following a year of escalating tensions with the outside world over his expanding nuclear and missile programs.