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RUNNING SPRINGS, CALIF. -- Jennifer Cobb and her husband planned on staying four days in their vacation rental in Southern California's San Bernardino Mountains. But that stretched into a week as they were trapped by a relentless series of storms that has piled snow so high they can barely see out the windows.

When they try to shovel themselves out, it just snows again. They're thinking of walking to a main road to see if they can hitch a ride down the mountain so they can get home to their teenage daughter and Cobb's elderly father in San Diego County.

"We hear the phantom sounds of plows, but they never come," said Cobb, 49. "Being stuck up here in this beautiful place shouldn't be awful, but it is."

Cobb and other beleaguered Californians weathered yet another storm Tuesday, as blizzard warnings blanketed the Sierra Nevada range in the northern half of the state, more snow was on its way to the southern mountains like the San Bernardino range, and forecasters warned that any travel was dangerous.

On the eastern flank of the Sierra, the Mono County Sheriff's Office bluntly tweeted: "The roads are closed. All of them. There is no alternate route, back way, or secret route. It's a blizzard, people."

Staggering snowfall totals have been reported this week from the storm. Mammoth Lakes, traditionally one of the snowiest places in California, had nearly 4 feet (1.2 metres) of snow over the past three days. The Mammoth Mountain ski resort has received 41.5 feet (12.6 metres) of snow since October and could be on a path to break the all-time snow season record of 55.7 feet (17 metres) set in 2010-2011.

The University of California, Berkeley Central Sierra Snow Laboratory near Donner Pass reported that nearly 41.7 feet (12.7 metres) had fallen since October, more than in any snow year since 1970 and second only to the record of 66.7 feet (20.3 metres) in 1952.

San Bernardino County has declared a state of emergency, with mountain residents trapped in their homes and motorists stranded. More snow was expected in many communities where residents, unable to drive through deep snow on roads that were closed anyway, largely got around on foot.

The latest storm in California was one of two bookending the country, with snow closing or delaying the opening for hundreds of schools in the Northeast, which saw the most significant snowfall Tuesday of what has been a mild winter.

And Michigan again fought a battle with ice after a storm Monday left thousands of customers without power in the central part of the state. To the southeast, around Detroit, some customers still lacked power for a sixth day after a prior storm.

The storms have delayed travel, shuttered schools and overwhelmed crews trying to dig out of the snow and repair downed power lines. Nationwide, there were about 500 commercial flight cancellations and more than 3,000 delays as of Tuesday afternoon, according to FlightAware.com.

In the West, the weather was expected to last into Wednesday, with winter storm warnings stretching from the Oregon coast to many of Southern California's already-snow-laden mountains.

In the San Bernardino mountain community of Running Springs, the town is covered in snow with some mounds piling more than six feet (1.8 metres) high. Some residents walked to a grocery store to stock up on food and carried back the bags atop a plastic sled.

In nearby Crestline, Michael Johnstone said his family's grocery store was running low on key inventory even though they stocked up before the storm. Authorities are escorting two full grocery trucks up to the mountain community, Johnstone said -- just in time for the new storm to add as much as a foot of snow.

"We're completely out of bread. Milk is getting really light. We're almost completely out of produce," said Johnstone, of Goodwin and Sons Market. "Beer -- domestic beer -- is really, really low."

Johnstone said many of the store's employees can't make it to work, so he has been using a plow truck to shuttle them to and from work for limited hours. Most customers are coming in on foot.

Christian Vinceneux, 60, is among them. He made it to Goodwin's on foot but the shelves were bare of bread and had minimal produce. Still, he felt lucky he was close enough to get there in a 15-minute walk.

"There have been people posting online where they're running out of groceries because they live in a part of town that's too far to walk to the grocery store," he said. "We haven't had any snow plows ΓǪ. It's going to take a while before we can all get out."

For California's skiiers and snowboarders, the parade of storms was too much of a good thing. Most resorts around Lake Tahoe suspended operations Tuesday. Big Bear Mountain Resort opened, but all roads leading there were closed. Mount Baldy Resort on the massive peak that looms over greater Los Angeles opened but also anticipated an early closure.

But California's Sierra snowpack, which provides about a third of the state's water supply, continued to benefit from the back-to-back dumps of heavy snowfall. The water content of the snowpack Tuesday -- in a state grappling with years of drought -- was 186% of normal to date and 162% of the average on April 1, when it is historically at its peak, according to the state Department of Water Resources' online data.

In the Northeast, parts of Connecticut, New York, Massachusetts, New Jersey and Rhode Island had heavy snow forecast through Tuesday afternoon. Some areas of western Massachusetts and northern Connecticut got about 7 inches (18 centimetres). The Albany, New York, area saw less snow than expected -- 2 to 5 inches -- but it was enough to close schools.

Deke Andrew, a Maine snowboarder, said he couldn't imagine such a thing as too much snow. The 51-year-old is living out of his Sprinter-style van at Sugarloaf, and was out snowboarding as snow was falling Tuesday.

"There really isn't any such a thing as too much snow in the wintertime," Andrew said. "We want as much as we can possibly get. It's incredible, and gives a purpose to the cold weather."

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Taxin reported from Orange County, California, and Pratt from suburban Boston. Contributing to this report were Associated Press journalists Ben Finley in Virginia, David Sharp in Maine, Dave Collins in Connecticut, Julie Walker in New York City and John Antczak in Los Angeles, along with other AP journalists around the country.