While bed occupancy rates climbed as high as 93.5 percent on New Year's Eve, up from 86.7 percent on Christmas Day, with an average of 91.7 percent across the week.
"The doctors and nurses at our local hospitals do an outstanding job and I know that we're all extremely grateful for the tireless work that they do in looking after us", Mr Farron said.
When they arrived, however, the hospital's A&E department was so overwhelmed that staff were unable to admit her.
Cancer-related and time-critical procedures will go ahead as planned, but out-patient appointments could also be cancelled.
There were more than 20 ambulances queuing to admit their patients that day, so more than 20 ambulances and 40 paramedics that could not be dealing with other emergencies. However, this is due to the high level of demand and we apologise to those patients who experienced lengthy waits.
It has been revealed that in one day alone, 14 people spent at least an hour queuing in ambulances outside Cornwall's biggest hospital.
Trust bosses said patients are being forced to wait for up to 12 hours in A&E, while some have been left on trolleys in corridors because beds were not available.
But today's figures show bed availability has deteriorated, despite the annual ritual of opening thousands of "escalation" beds in preparation for the holiday period.
"Our staff have been working tirelessly in recent weeks and throughout the festive period to provide compassionate care for the continuously increasing number of patients who needed hospital services".
"We have opened up additional capacity as we had planned to in order to meet the demand at this busy time of year".
Mr Gething toldBBC Wales: "In planning for winter the health service reduces the level of planned admissions for operations in any event but given the pressures we've seen understandably there have been extra cancellations".
Similar to trusts in England, NHS Lanarkshire has also had to postpone certain non-emergency procedures because of the mass surge in demand.
Figures from NHS England show more than 480,000 people called the service last week, which is a rise of 21% on the previous seven days.
Theresa May meets patient Sandra Dunn at Frimley Park Hospital in Surrey where she later apologised to the country for the mounting problems the NHS is facing.
The NHS Providers, a trade association, said in a statement that many hospitals are dealing with "unprecedented demand", because of an increase in "flu and respiratory illness, the impact of norovirus and - in some places - primary care, including Global Positioning System working at more than full stretch". The recommended safe limit is 85 per cent.
He told pulsetoday.co.uk: 'Primary care in North Wales is just horrendously pressurised at the minute.
"The RCN has been warning of under-investment in nursing posts for several years - now that underlying problem has developed into a full-blown crisis".
"This is an unparalleled situation in Lanarkshire and exceptional circumstances need exceptional measures to enable us to deliver our number one healthcare priority - patient safety", he stated.
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