Ao Lie's fall didn't cause Yu Qingtan too much psychological fluctuation. The once unreachable Fifth Stage existence posed no threat to her anymore.
Quickly leaving the area, Yu Qingtan continued to dive deeper into Qianlong Abyss, taking the ti along the way to tally her spoils of war, chiefly among them were two Immortal Crystals and three Divine Crystals. This was one of the main reasons why Yu Qingtan had put in a great effort to take down Ao Lie.
The deeper they went into Qianlong Abyss, the wider it beca, with many branches along the way. Yu Qingtan was guided by the Hongluan Secret On and the Heavenly Mystery Talisman.
Finally, after descending dozens of miles more, Yu Qingtan reached the floor of the abyss, a jagged area resembling an undersea mountain range.
When Yu Qingtan arrived, she discovered three Sea Clan mbers already there: a Fifth Stage Late Stage Coiling Dragon, a Fifth Stage Middle Period Dragon Shark, and two Early Stage Fifth Stage Venomous Squids.
Beneath the four Sea Clan mbers in an undersea basin, there was also a stone platform with a huge orb emitting a faint green glow on it.
At that mont, as the four Sea Clan mbers were close to the orb, their gazes were vacant, and they showed no reaction whatsoever to the arrival of "Ao Yin," Yu Qingtan in disguise.
Yu Qingtan looked at the orb, and felt an enchanting magic pulling her in, drawing her involuntarily closer.
As Yu Qingtan moved nearer, she felt the magic beco more and more intense, as if it wanted to completely engulf her. Her heart tightened, and she imdiately realized that this orb was no ordinary object and could very well contain an unknown challenge, much like the previous Power Dragon Pearl.
Indeed, to Yu Qingtan's eyes, the green glow on the surface of the orb suddenly flashed, and streams of information poured into her mind like a tide.
After receiving the information, Yu Qingtan learned that this orb was known as the Wisdom Dragon Pearl and that only those recognized by the Wisdom Dragon Pearl's wisdom would acquire it; otherwise, one would completely sink into oblivion, becoming a fool.
The way the Wisdom Dragon Pearl recognized wisdom was by solving one of the three difficult questions within it.
Question one: Start with any positive integer. If it is even, divide it by two; if it is odd, multiply it by three and add one. Continue this process repeatedly. Prove that for all positive integers, this operation will ultimately result in one.
Question two: Prove that any map can be colored with only four colors in such a way that countries with common borders have different colors.
Question three: In any group of Sea Clan mbers not fewer than three, if any two Sea Clan mbers have exactly one mutual Sea Clan friend, then there is always one Sea Clan mber that is known by all within the group.
Yu Qingtan stared at the three problems relayed by the Wisdom Dragon Pearl with a furrowed brow, swearing under her breath. Was the True Dragon who had left this Wisdom Dragon Pearl a mathematics enthusiast? These problems seed excessively difficult.
She had been familiar with these three problems in her forr life. The first, the Collatz conjecture, had yet to be solved; the second, the Four Color Theorem, was resolved in her previous life using a high-performance computer with a thod akin to brute-force.
Only the third problem was slightly simpler, known as the friendship theorem in her previous life, but she did not rember the thod of proof, only the general approach.
Fortunately, after she began her cultivation journey, her mind had beco incredibly agile, earning her the reputation of being exceedingly clever. Relying on her understanding of the problem and a rough approach, she started to attempt to prove it herself. She tirelessly reasoned and verified, and finally, after a month, through nurous trials, she found the correct thod of proof.
"Firstly, consider the Sea Clan's social network as a graph, where each mber of the Sea Clan is a vertex, and the friendship between two Sea Clan mbers is an edge connecting two vertices. In such a graph, if any two vertices have exactly one common neighbor, then there exists a vertex that is connected to all other vertices. Starting with the adjacency matrix of the graph, if we set the graph... it can be discovered that there definitely exists a vertex, which is connected to all other vertices on the graph."
Yu Qingtan's eyes shimred with the light of wisdom, as she finally proved the third challenge within the Wisdom Dragon Pearl. As she completed her proof, the massive sphere once again shone with a dazzling green light, as if acknowledging her accomplishnt.
The light from the sphere gradually receded and eventually transford into a stream of light that entered directly into Yu Qingtan's forehead. She felt a vast amount of information flooding into her mind, which was a cultivation technique nad True Dragon Soul Refining Technique.
"It's actually a Soul cultivation technique!" Yu Qingtan was extrely excited, as this was the first ti she had obtained such a cultivation thod. Although the Soul Cleansing Technique she had before did have so effect on enhancing the Soul, it was not considered a true Soul cultivation technique.
Soul cultivation techniques were exceedingly rare; at least, Yu Qingtan had never heard of any in the Outer Realm or of anyone who had cultivated them. Moreover, after obtaining the Wisdom Dragon Pearl, Yu Qingtan felt that her comprehension had once again significantly improved. Consequently, the cultivation speed of her split manifestation, the Qing Holy Maiden, increased quite a bit. Yu Qingtan imdiately instructed the Qing Holy Maiden to comprehend the True Dragon Soul Refining Technique.
anwhile, the four lethargic mbers of the Sea Clan had completely closed their eyes. Although they hadn't perished, they had turned into fools, and Yu Qingtan, deciding to go all the way, slaughtered them all.
This was the first ti Yu Qingtan had dealt with beings at the Late Stage Fifth Stage, and unexpectedly, it was quite effortless and enjoyable. Among the four Sea Clan mbers' storage equipnt, Yu Qingtan obtained thirteen Immortal Crystals and seventeen Divine Crystals, along with five dium Grade Dao Artifacts, mainly contributed by the Coiling Dragon at the Late Stage Fifth Stage.
"Power Dragon Pearl, Wisdom Dragon Pearl, could it be that gathering seven dragon pearls would summon a real dragon?" Yu Qingtan wondered wildly as she continued her journey of exploration.
Before leaving the area, Yu Qingtan, as always, used the Heavenly Mystery Talisman to confirm her direction, and guided by the Hongluan Secret On, she chose a direction.
The place was at the bottom of the Qianlong Abyss, surrounded by darkness, where her Divine Sense could only observe hundreds of zhang around her. She swam through one undersea forest of stones after another, like a lone traveler in the desolate deep abyss.
Finally, after several days of stealthy travel, Yu Qingtan arrived at a gigantic Undersea Palace.
The outline of the Undersea Palace appeared nebulous in the darkness, grandiose and mysterious. The palace's stone pillars were embedded with unknown gems that emitted a faint light, adding a touch of brightness to this profound undersea world.
Yu Qingtan approached the palace's gate with caution, for the gate was incredibly worn. The runes on the door were dim and lusterless, as though telling an ancient tale.
Yu Qingtan took a deep breath, brought her mind to an optimal state, and then gently pushed open the palace's gate with her front paws.
Behind the gate was a vast hall, with various stone tables and chairs casually placed around.
Above the hall was a massive dragon-shaped statue, with eyes flickering deep light, as if watching every person who entered the palace.
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