How did Scandinavian Airlines flight 751 survive after losing power in both engines just one minute after takeoff?

Scandinavian Airlines System Flight 751 was a regularly scheduled Scandinavian Airlines passenger flight from Stockholm, Sweden, to Warsaw, Poland, via Copenhagen, Denmark. On 27 December 1991, a McDonnell Douglas MD-81 operating the flight, registration OY-KHO, piloted by Danish Captain Stefan G. Rasmussen (44) and Swedish first officer Ulf Cedermark (34), both experienced pilots with 8,000 and 3,000 flight hours, respectively, was forced to make an emergency landing in a field near Gottröra, Sweden. Ice had collected on the wings' inner roots (close to the fuselage) before takeoff, broke off, and was ingested into the engines as the aircraft became airborne on takeoff, ultimately disabling both engines. All 129 passengers and crew aboard survived.

Source: Wikipedia

On the 27th of December 1991, a Scandinavian Airlines MD-81 lost power in both engines just one minute after takeoff from Stockholm, forcing the pilots to make a desperate and unenviable choice: where to land their stricken airliner? With only moments to decide, and the snowbound forests outside Sweden’s capital city rising beneath them, they went for the biggest clear area they could find. They just barely made it, shaving off trees on the way in, before the MD-81 crashed to earth in a field and broke into three pieces, sliding to a halt upright if not quite intact. And as the passengers and crew filed out through the breaks in the fuselage, they reached a startling conclusion: despite several serious injuries, all 129 people on board had survived.

Source: Admiral Cloudberg