SEOUL, South Korea (AP) — Marathon negotiations between senior officials of the two Koreas ended early Tuesday, the third day of an attempt to defuse a crisis that had the rivals threatening war. Chief South Korean delegate and presidential security adviser Kim Kwan-jin was to announce the results shortly, South Korea’s presidential office said in a statement.

President Park Geun-hye had said that without a clear North Korean apology for a land mine attack that maimed two soldiers, the anti-Pyongyang propaganda broadcasts that infuriate the North will continue. Her strong words provided a good hint at why the talks, which started Saturday evening and whose second session began Sunday afternoon, dragged on.

Both sides want a face-saving way to avoid an escalation that could lead to bloodshed, especially the North, which is outmatched militarily by Seoul and its ally, the United States.

But authoritarian Pyongyang must also show its people that it is standing up to bitter enemy Seoul. Pyongyang has denied involvement in the land mine explosions and also rejected Seoul’s report that Pyongyang launched an artillery barrage last week — so winning an apology will be difficult work. The North, for its part, demands that Seoul stop the propaganda broadcasts started in retaliation for the land mine attack.

For now, the attempt at diplomacy has pushed aside previous heated warnings of imminent war, but South Korea’s military said North Korea has continued to prepare for a fight, moving unusual numbers of troops and submarines to the border.

These have been the highest-level talks between the two Koreas in a year. And just the fact that senior officials from countries that have spent recent days vowing to destroy each other were sitting together at a table in Panmunjom, the border enclave where the 1953 armistice ending fighting in the Korean War was agreed to, is something of a victory.

The length of the talks was not unusual. While the Koreas often have difficulty agreeing to talks, once they do, overlong sessions are often the rule. After decades of animosity and bloodshed, however, finding common ground is much harder.

President Park said during a meeting with top aides that Seoul would not “stand down even if North Korea ratchets up provocation to its highest level and threatens our national security.”

She said Seoul needs “a definite apology” and a promise that such provocations would not recur.

The decision to hold talks came hours ahead of a Saturday deadline set by North Korea for the South to dismantle the propaganda loudspeakers. North Korea had declared that its front-line troops were in full war readiness and prepared to go to battle if Seoul did not back down.

South Korea said that even as the North was pursuing dialogue, its troops were preparing for battle.

An official from Seoul’s Defense Ministry said about 70 percent of the North’s more than 70 submarines and undersea vehicles had left their bases and were undetectable by the South Korean military as of Saturday. The official, who refused to be named because of official rules, also said the North had doubled the strength of its front-line artillery forces since the start of the talks Saturday evening.

South Korean military officials wouldn’t confirm or deny a Yonhap news agency report, citing unidentified military sources, that said North Korea had moved toward the border about 10 hovercraft used for landings by special operation forces in the event of a war.

The standoff started with the explosions of land mines on the southern side of the Demilitarized Zone between the Koreas that Seoul says were planted by North Korea. In response, the South resumed anti-Pyongyang propaganda broadcasts for the first time in 11 years, infuriating the North, which is extremely sensitive to any criticism of its authoritarian system. Analysts say the North fears that the broadcasts could demoralize its front-line troops and inspire them to defect.

On Thursday, South Korea’s military fired dozens of artillery rounds across the border in response to what Seoul said were North Korean artillery strikes meant to back up an earlier threat to attack the loudspeakers.

A Defense Ministry official said the South continued the anti-Pyongyang broadcasts even after the start of the talks Saturday and also after the second session began Sunday. He said Seoul would decide after the talks whether to halt the broadcasts.

While the meeting offered a way for the rivals to avoid an immediate collision, South Korea probably can’t afford to walk away with a weak agreement after it openly vowed to stem a “vicious cycle” of North Korean provocations amid public anger over the land mines, said Koh Yu-hwan, a North Korea expert at Seoul’s Dongguk University.

At the meeting, South Korea’s presidential national security director, Kim Kwan-jin, and Unification Minister Hong Yong-pyo sat down with Hwang Pyong So, the top political officer for the Korean People’s Army, and Kim Yang Gon, a senior North Korean official responsible for South Korean affairs. Hwang is considered by outside analysts to be North Korea’s second most important official after supreme leader Kim Jong Un.

In Pyongyang, North Korean state media reported that more than 1 million young people have volunteered to join or rejoin the military to defend their country should a conflict break out.

Despite such highly charged rhetoric, which is not particularly unusual, activity in the North’s capital remained calm on Sunday, with people going about their daily routines. Truckloads of soldiers singing martial songs could occasionally be seen driving around the city, and a single minivan with camouflage netting was parked near the main train station.

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Associated Press writers Kim Tong-hyung in Seoul and Eric Talmadge in Pyongyang contributed to this report.