to pay for something, especially as a treat for others
为某物付钱,特别是作为对他人的款待 (wèi mǒu wù fù qián, tè bié shì zuò wéi duì tārén de kuǎndài)
"I'll spring for dessert since it's your birthday."
"我会为甜点付钱,因为今天是你的生日。" (wǒ huì wèi spring for tiándiǎn fù qián, yīnwèi jīntiān shì nǐ de shēngrì)
being kind doesn’t take effort or money
to add something extra, especially at the end
to find a way to outsmart or bypass a system's logic
to present a situation in a particular way
Working, often with a strict time limit or deadline.
A very complex or unsolvable problem.