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A man watches a TV screen showing North Korean leader Kim Jong Un, right, and U.S. President Donald Trump, left, at the Seoul Railway Station in Seoul, South Korea, Friday, March 9, 2018. Trump has accepted an offer of a summit from the North Korean leader and will meet with Kim Jong Un by May, a top South Korean official said Thursday, in a remarkable turnaround in relations between two historic adversaries. The signs read: " Kim Jong Un." (AP Photo/Ahn Young-joon)

Ahn Young-joon

In a surprising announcement Thursday, President Donald Trump has accepted an invitation from North Korean dictator Kim Jong Un to meet within the next two months. 

The historic summit follows more than a year of strong language between Trump and Kim regarding North Korea's nuclear program. The North Koreans have conducted several missile tests since Trump took office in January 2017. After one test, Trump threatened the isolated Asian nation with "fire and fury like the world has never seen." 

Here is what you should know about Trump agreeing to meet with the North Korean leader: 

How did it happen? 

The announcement was made by Chung Eui-Yong, South Korea's national security adviser, at the White House Thursday. Chung recently met with Kim Jong Un in Pyongyang, North Korea. 

Chung briefed the president and other U.S. officials on the meeting, according to a senior Trump administration official. During the briefing, he relayed a message from Kim inviting Trump to meet by May. 

Earlier reports suggested that Kim had sent a letter through the South Korean delegation to Trump. But an administration official said the message was delivered orally through Chung. 

What did Kim say?

The invitation wasn't the only matter addressed by Kim Jong Un. Chung said Kim is "committed to denuclearization." Kim also pledged that his country will not conduct any missile or nuclear tests. 

Kim, according to Chung, acknowledged that joint U.S.-South Korean military exercises will continue. Chung continued, "And he expressed his eagerness to meet President Trump as soon as possible." 

How did Trump respond? 

After briefing Trump, Chung said the president "appreciated the briefing and said he would meet Kim Jong Un by May to achieve permanent denuclearization." 

Trump has taken to Twitter in the past to lob insults at the North Korean dictator. He has repeatedly called Kim "Rocket Man" and suggested military action may be necessary if the missile tests continued. 

Following Chung's statement, Trump tweeted that Kim Jong Un "talked about denuclearization with the South Korean Representatives, not just a freeze. Also, no missile testing by North Korea during this period of time."

He added, "Great progress being made but sanctions will remain until an agreement is reached. Meeting being planned!" 

When and where will the meeting occur? 

That hasn't been decided. It will be scheduled within the next two months. The exact timing and the location are to be determined, according to the White House. 

The meeting will be significant for two reasons. A sitting U.S. president has never met with a North Korean leader. And with the meeting likely being held outside of North Korea, it will mean Kim Jong Un will leave his country for the summit. Since becoming North Korea's leader, there are no reports of Kim leaving his country. 

What's next? 

The sanctions imposed on North Korea will continue. One of the possible explanations for why Kim Jong Un wants to meet with Trump is that the sanctions are having a devastating effect on the North Korean economy. 

But a senior Trump administration official said that the president is "not prepared to reward North Korea in exchange for talks." There will be no concessions made in return for a meeting with Kim Jong Un. 

Chung echoed this sentiment during his statement to the press. 

"(South Korea), the United States, and our partners stand together in insisting that we not repeat the mistakes of the past, and that the pressure will continue until North Korea matches its words with concrete actions," he said. 

There have been past attempts to have North Korea shut down its missile program. President Bill Clinton's administration dedicated significant time to negotiating with the North Koreans. There were meetings with Kim Jong Il, the current leader's father, in Pyongyang. There was even talk of Clinton visiting North Korea, but the trip never happened. 

The Bush and Obama administrations also attempted to denuclearize North Korea, but weren't successful.