You can rely on me

You can rely on me (1)

Hearing this sound, Liang Xiao felt as if he had swallowed dozens of toads. He couldn't close his mouth and just stared at the woman in the veil in a daze. The woman in silk clothes saw what he was thinking and smiled and said: "Yes, I am Hua Wuyi, the master of Tianji Palace." Liang Xiaoqi asked: "You... are you Xiaoshuang's grandma?" Hua Wuyi nodded and said: "yes."

Liang Xiao calmed down and said: "You...you are younger than your daughter! Aren't you the youngest?" Hua Murong just thought that he took the opportunity to ridicule herself and was so angry, but it was inconvenient to get angry in front of her mother. Hua Wuyi was startled for a moment, then laughed and said: "How can there be eternal youth in the world? I just practice Xuan Gong, I have achieved a little bit, and I am younger than ordinary people. Birth, old age, illness and death are the ways of heaven. The so-called way of heaven is boundless and there is no escape. Run away!" There was a hint of endless loneliness in her laughter. Liang Xiao took a closer look and saw that there were crow's tail lines at the corners of her eyes, but they were very small and difficult to detect.

Hua Wuyi looked at Liang Xiao for a long time and suddenly said: "Xiao Qianjue has three disciples, two men and one woman." This was very surprising. Liang Xiao was shocked when he heard this. He didn't know why she mentioned this, but Hua Wuyi Ya continued: "The eldest disciple, Xiao Leng, is a Khitan and is of the same clan as Xiao Qianjue. He used a Hairuo sword to subjugate the heroes of the Western Regions at Kulitai and was the number one warrior under Meng Ge Khan. The second disciple, Boyan, is a Mongolian The people of the Bala tribe were proficient in the art of war and were extremely brave. They helped Kublai Khan pacify the kings and were important ministers of the Yuan Dynasty, commanding thousands of troops. As for the third disciple, Xiao Yuling, it is said that he is a descendant of the Mongolian royal family. "

Liang Xiao didn't know why she suddenly mentioned this matter, and felt strange. But Hua Wuyuan laughed again and said: "Back then, I used this 'Flower Butterfly Shadow Hand' to fight Xiao Qianjue for a hundred moves. Although I didn't understand the idea of ​​'Ruyi Magic Hand', I still remember the moves. Although your "Ruyi Phantom Hand" has a low level of firepower, your moves are the same as those of Xiao Qianjue. If you weren't a direct descendant, you would never be able to reach this point. It is said that Xiao Qianjue's martial arts are special, but they are underestimating him. Among the three disciples, Xiao Leng is the one with the weirdness and viciousness, Boyan is the one with the fierceness and sharpness, and Xiao Yuling is the only one with the agility and elegance. From what I have seen today, your graceful and agile technique must be the result of Xiao Yuling's true inheritance!"

Liang Xiao's face turned pale, he bit his lip and said, "Do you know everything?" Hua Wuyi smiled and said, "That's right, I know everything." Liang Xiao said loudly, "You have to be like those old men. I'm leaving, right?" Hua Wuyuan said with a smile: "So, do you admit it?" Although Liang Xiao was unwilling to admit that Xiao Qianjue was the master, he had no choice but to huff after everyone saw through it. Pouting: "Admit it, admit it." Hua Wuyi smiled slightly and said: "Actually, I don't know everything." Liang Xiao was stunned. But Hua Wuyi said: "The three major disciples of Xiao Qianjue are famous, and everyone in the world knows it. I have indeed fought against Xiao Qianjue, but the three major disciples each have their own strengths, but I made them up. For example, Xiao Yuling It's so smart and elegant, just looking at your kungfu and making nonsense!" She said with a smile in her eyes, and Liang Xiao couldn't help shouting: "You...you are lying."

Hua Wuyi smiled and said: "Yes, it's only because you are too stupid that you were deceived by me." Then he said, "Do you want to learn Taiyi Light Sword?" Liang Xiao blurted out: "Yes." Hua Wuyi said with a smile. : "I can also teach you." Liang Xiao said happily: "Okay, thank you." Hua Wuyi shook her head slightly, sighed and said: "It's just..." Liang Xiao's heart sank and he said anxiously: "What?" Hua Wuyi said lightly: "It's just that you are too stupid and stupid. Even if you spend your whole life, you won't be able to practice!" Liang Xiaolei was shocked and shouted: "You...who are you talking about...who? Too stupid and too stupid, I...I..." He had been in trouble since he was a child, and had received all sorts of abuses. No one said that he was "too stupid and too stupid," they only said that he was too smart. Hua Wuyi's words really made him confused. When Hua Qingyuan saw this, he was about to speak out, but when he saw Hua Wuyi wave his hand, he had no choice but to shut up.

Liang Xiao was silent for a long time, and suddenly said loudly: "I'm not stupid. As long as you teach me, I will definitely learn it. If you give me a question, I will definitely do it." Hua Wuyi smiled and said: "Okay, I will Let me test you. There is a stone wall in front of Qiyue Valley, and it is not too difficult to solve. If you can solve it, I will teach you whatever skills you want. After hearing this, Yuan and Hua Murong were both speechless, and the beautiful woman in blue also widened her eyes. Only Xiaoshuang was confused and looked at her grandmother with a blank expression.

Liang Xiao scratched his head and thought for a long time, then asked: "What is arithmetic?" Everyone laughed, and Hua Wuyi couldn't help but smile: "You don't even know this, and you still say you are not stupid?" Liang Xiao felt this in his heart. It seems stupid but not stupid, but what is the difference, I can't tell. He was arrogant and refused to admit defeat easily. He immediately agreed: "If you do the math, I won't lose."

Hua Murong couldn't help but said: "That has nothing to do with winning or losing, but..." Suddenly seeing Hua Wuyao's gaze coming towards her, she was speechless. Hua Wuyuan turned her eyes and said with a smile: "You kid is very courageous. Okay, let's high-five and vow not to regret it." As he said that, he stretched out his slender hand. Liang Xiao was heartbroken and high-fived her: "It's the puppy who regretted it." Faintly, he heard Hua Murong mutter, as if he was scolding: "You don't know how to live or die." He couldn't help but stare back and thought to himself: "You are the one who doesn't know how to live or die." I don't know whether to live or die!" Thinking of this, I suddenly growled in my stomach. Hua Wuyi heard the sound and said with a smile: "I forgot that you have been hungry all night." She called a maid and led Liang Xiao down to eat.

Just as Liang Xiao went out, Hua Murong called out: "Mom..." Hua Wuyi glared at her and glanced at the beautiful woman in blue. The beautiful woman pulled Hua Xiaoshuang up and said: "Xiaoshuang, let's go back." Hua Xiao Shuang smiled and said, "Mom, let's go have dinner with Brother Xiao." The beautiful woman in blue was extremely unhappy when she saw Liang Xiao being rude and rude, and wanted to refuse, but when she saw Hua Xiaoshuang's dizzy eyes, she became very interested. For a moment, I couldn't bear to brush her off, so I had to say: "Okay."

Hua Murong waited for the two of them to go away, then frowned and said, "Mom, are you deliberately trying to embarrass him? If you give that boy a hundred years, he will never be able to figure out the 'Ten Secrets of Heaven'!" Hua Qingyuan also said: "Yes, Those ten arithmetic problems are based on the laws of nature. Not to mention that no one in Tianji Palace can solve them completely, even if you look around the world, no one can solve them. "For a moment, he looked sad and embarrassed.

Hua Wuyao crossed her legs and closed her eyes, and sneered: "Do you want him to learn the 'Taiyi Splitting Light Sword'?" The brother and sister looked at each other, and Hua Qingyuan said: "He is not bad in nature, and he has saved a child's life." Murong also said: "Yes, although he is naughty, but at critical moments, he is still very popular..." Before she finished speaking, Hua Wuyi suddenly opened her eyes and sneered: "If it weren't for this reason, just because he can I have already destroyed Xiao Qianjue's skills. How can I beat around the bush with him? Do you know that back then, Xiao Qianjue broke into Kuocang Mountain, guarded under the two peaks of Shijiu, and even injured the six masters in my palace? Uncle Hua Wuxiang also died in his hands. Humph, if it weren't for Taiyi's Light Sword, who could force him to leave? How could I teach his successor this secret skill? Gentle and elegant are completely different.

You can rely on me (2)

Hua Murong said: "Even so, as the saying goes: Killing a chicken with a bull's knife, why do you have to go to so much trouble? This kid doesn't know anything about mathematics, he just asked a few questions and was dismissed, why bother to use Tianji Ten to make it difficult for him? ?" Hua Wuyi glanced at her and said coldly: "This is called foolproof. If there are any other questions, you might secretly teach him to try to get rid of me." Hua Murong was exposed by her words. I couldn't help but blush. Hua Wuyuan said: "That's it. I'm about to enter samadhi. Please pass on the order. No one in the palace can teach that kid any knowledge or teach him any martial arts. If there is any disobedience, he will be dealt with according to the palace rules." She said. He glanced at his children and sneered, "Even you two are no exception!" After closing their eyes, the Hua brothers looked at each other helplessly and both exited the Qinxin Water Pavilion.

Hua Murong went out and asked worriedly: "Brother, what should I do now?" Hua Qingyuan sighed: "Mother's mind has been made up and there will be no change. Only allow me to persuade Liang Xiao to give up learning swordsmanship." Hua Murong shook his head and said: "Although this child is young, he is very stubborn. I'm afraid you can't persuade him." Hua Qingyuan smiled bitterly and said: "Just do your best to fulfill your destiny." Turning around to ask the maid, she learned that Liang Xiao had gone Eat at "Huameixuan" in the northwest. Then he walked there.

Before he entered the door, he heard Liang Xiao shouting: "What are you looking at me for? Huh, I don't feel comfortable asking me to eat!" Then Hua Xiaoshuang said: "Brother Xiao, the way you eat is so strange!" Liang Xiao said: " What's weird?" Xiaoshuang said with a smile: "You always grab it with your hands, no one else does." Liang Xiao sneered: "It's fun to eat like this. I don't want to imitate those fake gentlemen, and gentlemen can't be eaten. He snorted and suddenly asked curiously: "This aunt in blue, are you Xiaoshuang's mother?"

But the beautiful woman in blue said, "Yes. My surname is Ling and my name is Lord Shuang." Her tone was cold and she seemed a little unhappy. She must have thought that Liang Xiao's question was too rude. But Liang Xiao smiled and said, "You two look alike." Ling Shuangjun said, "That's natural. Don't you look like your mother?" Liang Xiao said, "Mom said I look like dad, and dad said I look like mom. I don't know who he looks like." He suddenly became silent.

Hua Qingyuan wandered outside the pavilion for a long time, and finally stepped through the door. He saw Liang Xiao with red eyes and was in a daze. When he saw him coming in, he jumped up and said: "Uncle Hua, you are good to come, take me to see that place quickly." What a problem!" Hua Qingyuan couldn't use any of his excuses, so he hesitated and said, "Is it so urgent? It's better to take a day off." Liang Xiao grabbed his sleeve and shouted: "No, no, I want to see it, I want to see it." Hua Qingyuan couldn't resist, so he had to take him out and walked a mile to a bluestone wall next to the "Liangyi Phantom Array". Said: "This is it." Liang Xiao saw that the stone wall was carved with all kinds of strange symbols, either pointed or round, horizontal or vertical, and there were many words, but the words were elegant and the meaning was profound, Liang Xiao couldn't understand them all. There was a large brown spot at the end that stained the writing and made it blurry.

Liang Xiao looked at it for a long time and couldn't help but ask: "Uncle Hua, what are these?" Hua Qingyuan sighed: "These are called Tianji Ten Calculations, which are ten calculation problems written by the ancestors of Tianji Palace. Liang Xiao said, "Why can't I understand it at all?" Hua Qingyuan looked dim and said, "Xiao'er, do you really want to learn swordsmanship?" Liang Xiao nodded. Hua Qingyuan sighed, was silent for a while, and said: "If you are determined to solve these ten arithmetic problems, I won't stop you, but I'm afraid..." He stopped talking, looked around and saw no one around, then lowered his head. He said, "If you don't understand anything, you can go to Tianyuan Pavilion and read the notes of ancient arithmetic masters. If you really can't figure it out, don't force it." Liang Xiao nodded and said, "I will definitely be able to figure it out." Hua Qing Yuan Wei only smiled bitterly, patted his head, and passed away in silence.

Liang Xiaozhi saw that in the evening, the sky was completely dark, and his mind was still in chaos, with no clue. He went back to his room and slept. When he got up early the next morning, he asked a maid about the location of Tianyuan Pavilion. The maid brought him to a towering attic and said, "This is it." Liang Xiao was surprised when he saw that the Tianyuan Pavilion was more than fifty feet in diameter and nine stories high. The maid said: "Here are the Yixue, Sutra calculation, and astronomical calendar. With Tianyuan Pavilion as the axis, to the east is the 'Chongxu Tower', which collects hundreds of thousands of Taoist treasures; to the west is the 'Prajna Courtyard', which contains the original scriptures of Tianzhu Buddha." , Chinese translations, Zen koans and Tibetan esoteric classics; to the south is the 'Great Intellectual Palace', which contains articles by scholars and philosophers' biographies; to the north is the 'Fengshao Xiaozhu', which contains ancient and modern poems; to the southwest is a collection of historical books 'Chun Qiu Lu', in the southeast is the 'Yao Wang Pavilion'. Listening to its name, you can tell that it is a collection of medical classics of past dynasties. However, in the past, Shennong tasted hundreds of herbs and was connected with medicine and agriculture, so the classics on agriculture, forestry, fishery and animal husbandry are also included; in the northwest is 'Chun Qiu Lu'. Jiuzhou Garden contains geographical maps of mountains and rivers, and research on birds and animals. In the northeast is the Lingtai, which collects drawings of the world's institutions and various models. But you must not go there during the day. It is guarded by Mr. Ming, who is fierce. Gotta be tight."

Liang Xiaoshen felt the same and said angrily: "Sister is right, that old man Ming is not a good person. He even knocked me down last time. Hum, I will take revenge sooner or later." The maid smiled and said: "So you have suffered a lot. Hey, it's better to talk here, don't let others hear it!" Liang Xiao snorted and said, "If you hear it, just hear it, I'm not afraid." The maid curled her lips and said, "I'm too lazy to care about you. Don't complain if you suffer a loss." Liang Xiao smiled and said, "Well, what's your name? I'll come to see you later." The maid smiled and said, "That's good. I live in Zhongxiangfang in the west. Everyone knows Mei Ying." After saying that, he chuckled and went straight away.

When Liang Xiao entered the pavilion, he only smelled the fragrance of books. His eyes were full of old and new books. There were two women in the pavilion wiping the dust. When someone came in, they did not raise their heads. Liang Xiaodong looked around and took out a book from the bookshelf. The book looked old, with a yellowish color and a tattered cover. There were four words written on it, "Bie Jie of the Changing Elephant". After looking through it for a long time, Liang Xiao didn't recognize any of the characters in it, so he picked up a newer book. Liang Xiao didn't recognize the word "Qianxu" in the book, but he recognized the three words "Sima Guang" signed in it. He thought to himself : "Who is this Sima Guang?" He frowned, his head was as big as a bucket, he put it down in a hurry, and took out another book, but it was "Duo Ji Supplements", I don't know who wrote it, Liang Xiao only felt that the symbols in the book were the same. There are some similarities on the stone wall, but after thinking about it for half an hour, I still have no clue. Then he pulled out another book called "Nine Calculations of Dongyuan". Although the symbols looked familiar, he turned over them over and over again, but couldn't see anything interesting.

You can rely on me (3)

Liang Xiao wandered around until the red sun set in the west. Although he read more than twenty books, he could not understand any of them. He was so angry that he wanted to set fire to this room of strange books. Liang Xiao returned to his residence angrily and felt sulky all night. He went to read it again the next day. This time, his luck was even worse. The book he read was even more difficult. Not to mention the content, he couldn't even recognize a single word.

After more than ten days like this, Liang Xiao's eyes were bloodshot and he lost a lot of weight. He almost wanted to give up, but when he thought of hatred, he tried his best to watch. Little did he know that these classics were accumulated over a lifetime by the masters of Yixue and arithmetic in ancient and modern times. With the attainments of most mathematicians, the knowledge passed down from generation to generation is profound, complex, and unparalleled. The basic things are not discussed in detail, just like a There was a huge mountain hanging in mid-air. Liang Xiao stood at the bottom and could only see the top, but he didn't know how to get up.

A few days later, Liang Xiao finally figured out some tricks. He picked out the oldest and tattered books. He intuitively felt that these books should be easier to understand than newer books. Although this is not entirely true, many of the ancient books he selected are indeed the foundation of arithmetic. However, the older these books are, the more difficult and profound the texts are, and most of them are ancient seal script and gold inscriptions. Liang Xiao didn't like reading since he was a child. Although he could barely recognize a few words, how could he understand these ancient texts? But he has always been conceited. If others don't teach him, he is ashamed to ask for help. After reading it for more than a month, he came up with a mess of strange words and pictures, but when asked to tell the meaning, he couldn't come up with any of them.

That day, Liang Xiao read for a long time, feeling disheartened and staring at the dome in a daze, when he vaguely heard someone calling. Looking back, it was Hua Xiaoshuang. Seeing his sunken cheeks, dull eyes, and messy hair, Hua Xiaoshuang couldn't help but feel sad. She held his hand and said in a trembling voice: "Brother Xiao, are you sick?" She reached out to touch his forehead, but she felt It wasn't hot, so he felt relieved and said, "I haven't seen you for a long time. Yesterday I heard from sister Mei Ying that you were in Tianyuan Pavilion and they came all the way to see me, but I called several times but you ignored me!" Liang Xiao said After making a noise and lowering her head to read, Hua Xiaoshuang saw that his expression was cold and boring, so she sat down next to him, looked at the text and pictures in the book, and suddenly said: "Brother Xiao, it turns out you are reading "Nine Palaces Commentaries"."

Liang Xiao heard something in her heart, raised her eyes and asked: "Xiaoshuang, do you understand?" Hua Xiaoshuang nodded and said: "I have learned some before, but unfortunately I am too stupid and not good at calculation, so last time I The Liangyi Huanchen Formation went wrong." She smiled shyly and said, "When it comes to arithmetic, grandma is the best in Tianji Palace."

Liang Xiao thought for a while, pointed to the graphic on the first page and said, "What is this turtle?" Hua Xiaoshuang said, "This is the Nine Palaces Picture, also known as Luo Shu. According to legend, the Yellow Dragon Negative Picture comes from the Yellow River, and the gods Turtle Tuoshu comes from Luoshui. The former is called Hetu, and the latter is Luoshu. Therefore, the diagram of the nine palaces is based on the spirit turtle. The sum of the eight directions is fifteen." She paused. , and said, "Some people say that the nine numbers in Luo Shu are the ancestors of arithmetic, but grandma said that arithmetic should be divided into ancient and modern times. Ancient arithmetic has three ancestors, Hetu, Luoshu, and Five Elements. Hetu turned into Bagua, and Bagua evolved into Sixty-four Hexagrams , but each hexagram contains a small nine palaces."

She drew on the ground casually and said: "But among the nine palaces, there are yin and yang, odd and even numbers, which are taken from the principle of yin and yang in the river map. The nine palaces map has forty-five directions, and each location contains a "Bagua." She calculated as she spoke, deducing the ways of life in Hetu and Luoshu, and then drew two more pictures and said, "The five elements can also be transformed into nine palaces. The one on the left is called Luo Shu. The five elements become numbers, and the one on the right is called Luo Shu." The five elements of the book are used to generate numbers. From these two numbers, the nine palaces can be deduced from each other to infinity..." She went from the shallower to the deeper, talking with her hands. Liang Xiao was a very smart person. After listening to it for two hours, he already understood a lot. When he picked up the book, he felt that everything was no longer unfamiliar. He was so happy that he scratched his head and took out another book and asked, "What do you mean by this?" ?" Hua Xiaoshuang looked through it and said with a smile: "This is different from ancient arithmetic. It is modern arithmetic. "Nine Chapters of Arithmetic" can be called a masterpiece of ancient arithmetic. Modern arithmetic originated from Liu Xiang of the Han Dynasty. Zhang Heng and Liu Zheng of Cao Wei also discussed it, but it was Zu Chongzhi, a master of the Northern Dynasties, who calculated pi using squares and circles. Later, in "Nine Calculations of Dongyuan", someone used this method to deduce and combine the numbers and shapes. , to calculate unknown numbers. It is said that someone in my family used this method to solve the upper nine levels of 'heaven' (note: it is to calculate the positive ninth power of x in European arithmetic. Some people misunderstood this as nine unknown numbers) and the lower nine levels. Later, the family's great-grandfather Yuan Mao created the segmental method (similar to finding unknown numbers in linear equations in later arithmetic) to divide the number shapes. Then it turned into the "Tian Yuan Technique", and the great ancestor pushed the "Tian Yuan Technique" to the four elements, which can be used to obtain the four major numbers of Taiyin, Yang, Shaoyang and Shaoyin." At this point, she sighed softly and said quietly, "It's a pity, this part is too difficult, and I don't quite understand it." After she said this, she felt a little dizzy and breathless, so she took out the Jinfeng Yulu Pills from her arms and took one.

Liang Xiao couldn't help but said: "Xiaoshuang, I've always wanted to ask you, you... what exactly are you sick about?" Hua Xiaoshuang shook her head and said: "I don't know, my parents never told me. I was sick a few days ago. It was amazing, so my father and aunt took me to Laoshan to see Grandpa Wu. Grandpa Wu is an amazing doctor, so amazing!" She said with a smile and said, "I was much better when I came back, but I still felt dizzy from time to time. , but Grandpa Wu told me not to worry, saying that he would cure me." At this point, she thought thoughtfully and asked, "Brother Xiao, have you ever seen the sea?" Liang Xiao shook his head blankly. She said with a smile: "The sea is so big that I can't see the edge at a glance. It is said that watching the sunrise on the sea is the most beautiful thing on Laoshan Mountain, but my aunt said that it was windy and cold in the morning and I was not allowed to go." When she said this, she frowned slightly. Feeling regretful, Liang Xiao felt pity in his heart and said: "It doesn't matter, I will accompany you to see him in the future."

Hua Xiaoshuang's eyes lit up and she said with a smile: "Are you serious?" Liang Xiao said: "Seriously, why don't you pull the hook." Then he hooked Xiaoshuang's little finger with his little finger and said: "Gold hook and silver hook, talking is not like a puppy. "The two looked at each other for a moment, then let go of their hands and laughed together. Xiaoshuang continued to explain, just like a little teacher, while Liang Xiao listened obediently, as if he had changed from a naughty boy to the most obedient student.

You can rely on me (4)

From that day on, Xiaoshuang secretly came to Tianyuan Pavilion every day. If Liang Xiao had anything he didn't understand, he would ask her. But Xingxi is the basis, and it is not difficult to understand. The Xiaoshuang family is knowledgeable and can recognize most of the ancient seal inscriptions. Er Xiaoyan and Yi Shun had been getting along like this for several months, and Liang Xiao finally understood roughly that it turned out that the first four questions among the ten calculations of Tianji are ancient arithmetic, and the last six questions are all modern arithmetic. All ten calculation questions have trapped the wise men of ancient and modern times. huge problem.

Liang Xiao was originally a very smart person. Regardless of martial arts knowledge, if he didn't study hard, once he got started, he would be stuck in the mud and find it difficult to extricate himself. Suddenly, more than half a year has passed. Hua Wuyuan originally thought that Liang Xiao would retreat in ten and a half months at most. Unexpectedly, a year later, the boy still refused to leave. She was surprised and secretly sent someone to investigate, only to find out that Shuang often went to Tianyuan. When Ge explained it to him, he couldn't help but be very angry. But Hua Xiaoshuang was young and sick, and it was difficult to punish her, so she had to be prohibited from getting close to Liang Xiao again. Even though Xiaoshuang felt aggrieved, her grandmother had no choice but to say so.

But by this time, Liang Xiao had escaped from the situation where he knew nothing. He walked out of the clouds and mist, and the world before his eyes was completely new. Even the dawn frost could not trap him. He was originally quite talented in arithmetic, but he felt that arithmetic was far more wonderful than martial arts. The more difficult it was, the more he wanted to surpass it, and he was lost in thought for a while.

Time passed, and four years later, Liang Xiao followed Xiao Shuang's words, starting from Hetu Luoshu, and finishing Guiguzi's "Guigu Suanjing" of the Warring States Period, Sun Wu's "Sunzi Suanjing"; Zheng Xuan, Wang Bi, etc. The "Book of Changes" written by the great sages of the past dynasties; "Tai Xuan Jing" by Yang Xiong, "Qianxu" by Sima Guang, "Nine Chapters of Arithmetic", "Wucao Arithmetic", "Zhang Qiu Jian Arithmetic" of the Han Dynasty, "Zui Shu" by Zu Chongzhi and his son; gradually moved from ancient arithmetic to modern arithmetic, and successively read "Compilation of Ancient Arithmetic Classics", "Nine Calculations of Dongyuan", "Nine Chapters of Numerology", "Measuring the Circle Sea Mirror", and Tianji Dozens of volumes of "Tianji Notes" left by the ancestors of the palace. However, the ten calculations of the heavenly secrets were still difficult to understand. He had to refer to the calendars and arithmetic of various dynasties to deduce the changes in the heaven and earth, the movement of the sun and the moon, and the principles of architectural structure. In order to find an answer, I often read to no avail.

In the fifth year, when the ice and snow were beginning to melt and the winter plum blossoms were still withering, Liang Xiao solved the first question "The solution to the creation of heaven and earth". From "the position where heaven and earth have joined together", he deduced "the number of places where heaven and earth have not joined together" until he calculated " These three numbers have already been passed down through the ages, but few people know how to return to their original nature and reverse the "number of the heaven and earth's creation", but in short, they are the positive and negative changes between the Nine Palaces and Bagua.

After solving the first question, Liang Xiao got out of hand and solved the "Tai Xuan Dilemma" one after another. These two problems came from Yang Xiong's "Tai Xuan Jing". "Tai Xuan Jing" is the mathematical foundation for Zhang Heng's creation of the "Waiting Wind and Earthquake Instrument" in the Han Dynasty. It is complex and profound and contains many problems. The next month, Liang Xiao solved the fourth arithmetic "Two-hand and ten-finger problem" (note: the conversion of binary and decimal systems in later generations of mathematics was only proposed three hundred years later by the German mathematician Leibniz); the fifth arithmetic "Twenty-Eight Constellations" Zhou Tianjie". Then there is the "River Control Map", which is a calculation problem in the form of mathematics. It uses the segmentation method to calculate the earthwork and stonework for water control in the Yellow River. The calculation is so huge that it took Liang Xiao more than 40 days to calculate it. The seventh question was solved faster. It was the "Guiguzi question" that was solved by stacking product (note: an exquisite method for solving advanced mathematical number theory problems in Song and Yuan arithmetic).

Questions 8 and 9 are all astronomical calculations, which are very difficult and involve the most advanced Tianyuan and Four-Yuan techniques in the world. The eighth one is "The Confusion of the Meridian". Measuring the exact length of the meridian requires not only calculations but also field measurements, which is really laborious. The ninth one is the "Odd Calculation of Diurnal Changes", which involves using the quaternion technique to find the difference in the sun's gain and contraction. , but in the end, it had escaped the limit of four yuan and turned into five yuan. There was no calculation in any sutra. Liang Xiao had to figure it out on his own. He spent three months on this problem and finally solved it to the tenth It can be regarded as the "Yuan outside the Yuan". The general idea is: find a way to find any elemental solution.

Liang Xiao calculated for three months, but failed to achieve anything, but he was a nine-year-old man, so he was not willing to fall short of his achievements. He burned ointment and followed the sundial, read the classics, worked hard, and learned calculations at the same time. Another half year passed by, and Liang Xiao was in a state of paralysis, with his heart pounding and gasping for breath when he moved, and he finally fell ill. At this time, everyone in the Tianji Palace who knew the origin of the "Ten Secret Calculations" thought that Liang Xiao was crazy. Except for Mei Yingshi who came to take care of him, no one came to see him solve the problem. He only waited for this kid to know Retreat from difficulty. But Liang Xiao was very ambitious and always wanted to solve the ten secret calculations in one go. Only then did people know about it. He would not let out any news until he solved a problem, so no one knew that he had solved nine problems in a row. When Hua Qingyuan's brother and sister came to visit, they only thought that he had accomplished nothing for a long time and was suffering from depression. They sighed and repeatedly warned: "You have just started, so it's okay if you can't figure it out." The situation trapped him, so he said it very tactfully. Liang Xiao, however, misunderstood and thought that they had already solved these ten questions. He felt even more anxious. Even when he was lying on the hospital bed, he was still calculating silently in his mind.

In fact, the name of Tianji Palace is Tianji, and arithmetic is the foundation of the palace. Just looking at the shape of the Tai Chi Bagua in the attic where the books are stored, and the Tianyuan Pavilion occupying the exclusive position of Tai Chi, you can tell how much the master of the palace valued arithmetic.

"Ten Secrets of Heavenly Secrets" was originally left by the arithmetic masters of Tianji Palace in the past generations. Although there are some ancient and modern famous questions in it, most of them are puzzles that the masters could not answer during their lifetimes. They are carved on the stone wall for future generations to answer. However, when the calculation problem reached the eighth calculation, no one could solve it for a hundred years until the "Cangming Divine Calculation" Hua Yuanmao was born. Hua Yuanmaotian was a genius. After solving the eight calculations, he gave two calculation problems one after another. He carved the ninth calculation by himself and solved it by himself. By this time, Hua Yuanmao's arithmetic skills could be said to be unparalleled in ancient times, but he was still not satisfied. He gave the "Yuan beyond the Yuan" and sought the solution in any dimension. This was no longer calculation, but a challenge to himself. .

Hua Yuanmao meditated hard in front of the stone wall for five years, exhausted his efforts, and finally could not solve the problem. In the end, his energy failed and he vomited blood and died. He was only thirty-eight years old, leaving behind a man and a woman. At that time, Hua Wuyi, the eldest daughter, had not yet reached her hair. The brown spots that Liang Xiao first saw on the stone wall were the blood that Hua Yuanmao vomited before he died.

Because the previous masters were afraid that future generations would be opportunistic and waste their studies, they left behind their ancestral teachings: Those who solve the problems on the wall are only allowed to give logical results, not solutions. Therefore, after Hua Yuanmao's death, Hua Wuyi started from the beginning again. When he encountered the four-yuan technique in the eighth calculation, he found it difficult and difficult to continue. If anyone knew that Liang Xiao had broken nine questions in a row, Tianji Palace would be turned upside down.

You can rely on me (5)

Liang Xiao didn't know what was going on, he was worried and thinking constantly, and his condition naturally became worse day by day, and acupuncture, medicine and stone were all ineffective. When everyone saw this situation, they just thought that he must be unlucky. Hua Xiaoshuang vaguely knew from the maid's mouth that she cried loudly in front of Hua Wuyi. Although Hua Wuyi had a cold nature, she couldn't help but feel a little guilty, and finally agreed to Lord Lingshuang to take Xiaoshuang there.

Hua Xiaoshuang entered the house and saw Liang Xiao looking so ill. She couldn't help but hold his hand, tears welled up in her eyes. Lord Lingshuang also felt sad and turned away, unwilling to look.

Liang Xiao heard the cry and opened his eyes, only to see a girl standing in front of him, crying. After a long while, he recognized Hua Xiaoshuang. Seeing that she had taken off her double bun, she was taller and more timid. She was wearing a butterfly skirt. Her face was still pale, but her facial features were much clearer and less immature. When Liang Xiao saw her, he smiled with all his strength and moved his lips slightly. Hua Xiaoshuang was stunned, and Liang Xiao moved his lips again. Hua Xiaoshuang leaned over and vaguely heard him say: "Xiaoshuang, help me go to the stone wall." Hua Xiaoshuang shed tears and said: "Brother Xiao, do you still want to count?" Liang Xiao sighed: "Yes. The question is not...finished. If it is not...finished...I...will not be happy." Hua Xiaoshuang couldn't help but burst into tears. After crying for a while, she wiped away her tears and told Ling Shuangjun what Liang Xiao had said. Although Ling Shuangjun felt it was inappropriate, she never wanted to disobey her daughter, so she had to have someone carry Liang Xiao to the stone wall.

Liang Xiao leaned in Hua Xiaoshuang's arms and stared blankly at the stone wall. She was at a loss and suddenly came up with a thought: "If I can die under this tenth calculation, I will have no regrets." For a moment, he felt hatred. Putting all the past events aside, he shakily picked up a branch and drew on the ground casually.

Hua Xiaoshuang couldn't help but asked: "Brother Xiao, what number is this?" Liang Xiao said hoarsely: "Ten counts." Hua Xiaoshuang has been frail and sick since she was a child. Hua Wuyi and others were afraid that she would be too busy and did not let her do it. She knew these painstaking calculations, so Hua Xiaoshuang didn't know how powerful Liang Xiao was. She just responded casually, thought about it, and said: "Brother Xiao, is there anything perfect in the world?" ?"

Liang Xiao was stunned and heard Hua Xiaoshuang say: "It is said that in ancient times, the water god Gonggong was defeated by the fire god Zhurong. He angered Mount Buzhou and caused the heaven and earth to become crooked. So, the sun always comes out from the east, slippery Look towards the west. Look, the moon is often not perfect, and the sun is also eclipsed. As the saying goes, the sky and the earth are tilted, and the sun and the moon are waning. Brother Xiao, is there anything perfect in the world? "Liang Xiao has never heard of this." I was stunned for a moment.

Seeing Liang Xiao's confused expression, Hua Xiaoshuang added: "I have been sick since I was a child, and I always feel that I am missing something compared to others, which is very unpleasant. My mother told me that a person will always have some regrets, and it is impossible to put everything together. Even the emperor can't get what he wants. An old man in ancient times said it well: "If a great success is lacking, its use will be of no harm; if it is full of gain, its use will be endless." The rain will last forever. If you act too hastily, even the wind and rain in the world will not last long. Brother Xiao, why are you so stubborn? Even if you can't figure it out now, you can figure it out later!"

Liang Xiao had never thought about this kind of truth. After hearing these words, he felt like he was enlightened and became crazy for a moment. At this moment, Hua Qingyuan suddenly saw Hua Qingyuan running towards him with a livid face. He looked at Liang Xiao and suddenly shouted to Lord Lingshuang: "Are you confused? Why did you bring him here? Do you want to kill him?" Lord Lingshuang? She was startled by his drink, lowered her head and said, "It's my fault, I'll send him back right now." Xiao Shuang was about to interrupt, but Lord Ling Shuang blocked her mouth with his hand, squatted down, and came to lift Liang Xiao himself. Tong wanted to come to help, but she pushed him away.

Hua Qingyuan was dumbfounded and hurriedly stopped her and said: "Shuangjun, I'm sorry, I was anxious for a moment." Ling Shuangjun's eyes were red and he sneered: "We have been husband and wife for so many years, but I have never seen you anxious for me. ..." Hua Qingyuan knew what she wanted to say and hurriedly said: "It's my fault. If you want to beat me or scold me, it's up to you. How about I kowtow to you?" Ling Shuangjun bit his lower lip and suddenly raised his voice. He shouted: "Hua Qingyuan, do you think you can stop the mouths of people in the world by pretending to be benevolent and righteous?" Hua Qingyuan's face was as red as blood, and he could not speak. Hua Xiaoshuang was already sad because of Liang Xiao, and seeing her parents arguing like this, she felt anxious, felt dizzy, and almost unsteady on her feet.

At this time, Liang Xiao suddenly sighed and said, "Forget it, go back, I won't forget it." Hua Xiaoshuang was overjoyed and said in a voiceless voice, "Brother Xiao, have you really figured it out?" Liang Xiao closed her eyes. After a moment, he raised his eyes and said, "I figured it out, don't forget it." Hua Qingyuan was also stunned, picked him up, and said with a smile, "As long as you figured it out, it doesn't matter if I get beaten or scolded." He glanced at him. He glanced at Ling Shuangjun and saw her frowning and her chest heaving, feeling angry, so he had no choice but to lower his eyebrows and hug Liang Xiao back first.

Once Liang Xiao's heart disease went away, he recovered very quickly, and he was able to walk on the ground in a short time. In fact, it was fortunate that he did not force the calculation of the "Yuan beyond the Yuan". If it were deduced using the method of Tian Yuan and Quan Yuan, it would be an unsolvable calculation problem. It was not until more than four hundred years later that a large number of arithmeticians appeared in France, the Western country. The prodigy, based on Western arithmetic, finally found a new way to solve it, but he could only find his way. If you want to calculate, it will take a lifetime to do it, and it will take hundreds of years to do whatever you want with the help of machinery.

In March and April, Liang Xiao recovered, and thought to himself: "In these years, I have only studied arithmetic, and my martial arts have been completely neglected. I am afraid that in the end of my life, I will not be as good as Xiao Qianjue." He could not solve the "Ten Secrets of Heaven" ", he no longer had the thought of "Taiyi Light Sword", not to mention the high-five he had made in those days. Even if Hua Wuyi was willing to teach him, he had no shame to learn it again, and for a moment he felt desolate: "I have tried my best, but my talent has stopped. Here, I don't think I would blame me if my father was in hell. Alas, I don't think I am stupid, and the nine arithmetic questions are rare. No matter which arithmetic book they are placed in, they are the last questions, but I also Solve them one by one. With my ability, the tenth calculation problem is simply unsolvable. Xiaoshuang is right, nothing is perfect in the world."

These days, Hua Qingyuanchu often comes to visit, but he comes and goes in a hurry, frowning, and seems to have many things on his mind. After Liang Xiao got better, he came less often. And Hua Xiaoshuang has never been here since that day. Liang Xiao stayed there for two days, feeling bored and lonely, and had some thoughts of moving around. In the past few years, he has only been back and forth between Tianyuan Pavilion and Shibi, and has never been to many places.

You can rely on me (6)

Stepping out of the room, Liang Xiao walked in a daze for a while, but unexpectedly, by some strange combination of circumstances, he arrived in front of the stone wall again. He couldn't help laughing, patting the stone wall and thinking: "After all, I still can't let go. However, Xiaoshuang is right, it can't be calculated now." , Can't we calculate the future? But if he dies, there will be no future." When he thought about this, his heart suddenly became enlightened, and when he looked up, he saw the "Liang Yi Phantom Dust Formation" running endlessly in the distance, and his heart suddenly felt. A move: "Back then, I was trapped in the formation and was at the mercy of others. Now that I know everything about the universe and the yin and yang, can I still be trapped?" Thinking of this, I decided to give it a try and looked closely at the formation. I felt that it was clear at a glance. Entering the formation, it felt like walking in the wilderness, advancing and retreating freely, and I felt indescribably comfortable.

He looked around the stone statues and remembered the martial arts he had learned that night. In these years, apart from occasionally sitting in meditation to practice Qi, I have not practiced any more. In one night, I only learned the skills of a hundred stone statues, and I did not have time to figure out the other stone statues. Now I stretched my hands and feet and practiced the "Great Sage Heart Sutra" from before. Unexpectedly, during this practice, I suddenly realized many unprecedented wonderful truths in my heart. I was shocked for a moment. When I looked at the stone statue again, I felt What he thought and understood was ten times better than what he had thought back then.

In fact, the reason is very simple. The martial arts of Tianji Palace are based on numerology. Even though the martial arts of Hualiushui are powerful, they cannot break away from this foundation. If Hua Yuanmao discovers the mystery of the stone statue, he will definitely become a master. It's just that he was obsessed with mental arithmetic and had little interest in martial arts, but he also left behind many ingenious algorithms. If Liang Xiao had not obtained his will, how could he have solved nine arithmetic problems in just five years.

The more Liang Xiao thought about it, the more he realized that these stone statues were infinitely mysterious. He became obsessed with them and stayed in the formation every day to comprehend the martial arts of the stone statues.

A few months passed by, and Liang Xiao finished practicing all the eight hundred sage statues. He suddenly realized that there are some mysteries in the stone formation. Just looking at the stone statues, there is always some incomprehension between them. It is necessary to understand the position of the stone statues in the formation. Changes are integrated into martial arts, and the front and back moves are seamless and extremely powerful. He realized this and admired the wisdom of the senior statue.

The two-yi phantom dust formation is driven by the three heavenly secret wheels, and from this, nine kinds of turning methods are produced, which change alternately. Liang Xiao used this formation to create a set of movement techniques. He practiced this body technique for several days. One day he took a step and suddenly thought: "This step may be even more ingenious if it changes with the position of the Nine Palaces." After thinking about it, he took another step, but he didn't know that it should have been four steps. He was so shocked that he completed the journey in one step. He suddenly remembered a skill.

Although Liang Xiao was naughty and playful when he was young, he had an excellent memory and had the ability to remember what he heard. That day, Liang Wenjing explained the essence of "Three Talents Returning to Yuanzhang". Although Liang Xiao did not listen deliberately, he still remembered most of it. Now that he thought about it carefully, he still remembered 20 to 30%. At that time, he listened to his father's explanation and was completely confused. After thinking about it for a while, he realized that the situation was endless. He drew the Nine Palaces diagram on the spot. According to Wen Jing's words, after deducing it for half an hour, he exhausted all the "three or three steps". Then, based on the "Three-Three Steps", the "Four-Four Steps", the 'Plum Blossom Step', the 'Tiangang Step', the 'Dayan Step', and the 'Fuxi Step' are deduced in sequence, until the "Nine-nine Returns" "Yuan Step", Liang Xiao was surprised in his heart: "There is such a footwork in the world. It seems to be more powerful than this stone formation. Unfortunately, although I know its meaning, my skill is shallow and I can't reach the ninth level." The point of return."

When he understood this, he felt relieved and on a whim, he walked out of the stone formation - only to see several "thousand-mile boats" circling back and forth in the vast mist and water, casting nets for fishing. The boatmen were leisurely and contentedly singing fishing songs to each other in the distance. Singing in harmony, the clear singing voice penetrated the clouds and sky, resounding across the lake.

Liang Xiao listened for a while and then looked up at the two walls. I saw two lines of giant characters on the cliff still the same: "The sky is full of space, there is no one to rely on in the sky, geography, and geography, but I am the only one who can rely on it. When all the calamities are up, there is no one to rely on in the Hetu and Luoshu, and all those who can rely on it are empty."

Liang Xiao chanted repeatedly in his heart, and suddenly realized: "The so-called vertical tribulation refers to the death of the deceased, and no one can tell clearly what will happen in the future. The unknown predictions in the river map and Luo Shu are all false; the so-called horizontal emptiness refers to the end of the void. What's more, there are so many variables in the sky and on the earth, and nothing can really be relied on. The only one who can always rely on is himself. This is to say that although Xiao Qianjue seems invincible, he will never be able to defeat him in the future. It may not be impossible to defeat him, but the key to defeating him is not others, but myself. Unfortunately, in the past five years, I have only tried to learn other people's swordsmanship, and I have been so enthusiastic that I can't do it on my own. With all his strength, can he develop the martial arts to defeat Xiao Qianjue?" Thinking of this, he suddenly saw a new realm, and he was so heroic that he couldn't help laughing. With this smile, he felt that his voice had become much thicker, and when he touched his lips, the fine hair pricked his hand slightly. It turned out that five years had passed, and the young boy had grown into a handsome young man.