The KA-10 had core memory (except for the instruction counter and locations 0-15 which were general purpose registers which were implemented in DTL). So when the power went out you could just restart, except for the running process.
An interesting thing about the KA-10 is that those DTL registers were optional. Architecturally the registers are simply the first 16 words of core memory. If you bought the fast register option with your KA-10 they installed the DTL registers which overlaid the first 16 words of core.
A consequence of that was that anything that took a memory address could access the registers as memory. Just give it an address in [0,15].
That included the program counter. Load code in 0-15 and jump to it and it would run quite a bit faster than if it were in core if your KA-10 had the fast register option.
Bad news if that was the monitor of course.