MOUNT VERNON, Wash. — Washington was under a state of emergency Thursday from a barrage of torrential rain that has sent rivers flowing over their banks, caused mudslides to crash down on highways and trapped people in floodwaters. Tens of thousands of residents were under evacuation orders.

Heavy rain continued to fall over parts of the state, prompting rising rivers, road closures, water rescues and suspension of Amtrak trains between Seattle and Vancouver. Rainfall intensity increased in several counties in Washington’s Cascade Mountains, which had seen up to 6 inches of rain in 24 hours. One area, Snoqualmie Pass, picked up an additional 1.7 inches of rain in six hours, the National Weather Service said.

Emergency management officials urged residents not to drive through standing w

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