run into

To enter by running.

“He ran into the building.”

To collide with.

“He lost control of the vehicle and ran into a tree.”

To cause to collide with.

“He lost control of the vehicle and ran it into a tree.”

(by extension) To encounter or meet unexpectedly (literally or figuratively).

“Everything was going according to plan until we ran into the legal problems.”

(of flowing water) To reach, to flow into (a body of water).

To blend into; to be followed by or adjacent to without there being a clear boundary.

To cause to blend into.

“You can use the paintbrush this way to run the colors into each other.”

To reach a large figure.

“By the end, the cost of the project ran into the millions of dollars.”