Spirit stones arrange the universe, secrets hidden in logic gates.Two-dimensional matrices convey profound principles, the art of mechanisms reveals its power.

In the late-night scripture hall, candlelight flickers as Liu Ru Yan and Elder Liu Mo Ran sit around an ancient wooden table, deeply studying the ancient texts of the Immortal Alliance’s mechanism hall.
“Master, look at this passage,” Liu Ru Yan pointed to a page in “Fundamentals of Mechanism Art”, “It says, ‘The two-dimensional matrix is the foundation of mechanism art, capable of carrying the changes of countless spirit power logic gates.’ These spirit power logic gates seem to be realized through the state changes of spirit power.”
Elder Liu Mo Ran leaned in to take a closer look, seeing complex matrix patterns drawn on the page, with each node connected by spirit power lines of different colors. “Indeed, the spirit power logic gates recorded in the ancient texts achieve complex logical operations by controlling the states of spirit power—specifically, the two fundamental states of spirit power: yin and yang. Each node acts like a spirit power processor, while the spirit power lines transmit spirit power of different states.”
At that moment, a voice echoed in Liu Ru Yan’s mind:
System: “Detected a deep connection between two-dimensional arrays and bitwise logic gates, analyzing the correspondence of spirit power states… Analysis complete. New function unlocked: Spirit Power State Operation Simulation.”
Instantly, Liu Ru Yan felt a surge of enlightenment, as if she had gained a new understanding. She could now visualize the changes in spirit power states at each node of the two-dimensional matrix more intuitively.
“Master, I suddenly understand!” Liu Ru Yan exclaimed excitedly, “The two-dimensional matrix is like a spirit power mechanism array, where each node can process changes in spirit power states. We can use this method to construct complex defense systems!”
She spread a sheet of white paper on the table and began to draw a design:
// Implementation of the two-dimensional matrix and spirit power state logic gates in mechanism art
int spiritPowerMechanismArray[4][4]={
{1,0,1,0},// First row: Jade Slip Contract Array (AND gate)
{0,1,0,1},// Second row: Spirit Symbol Convergence Technique (OR gate)
{1,1,0,0},// Third row: Reversal of Heaven and Earth Symbol (NOT gate)
{0,0,1,1}// Fourth row: Spirit Insight Selection Seal (XOR gate)
};
// Spirit power state logic gate methods
int jadeSlipContractArray(int input1,int input2){
return input1 & input2;// AND gate: outputs yang when both input states are yang
}
int spiritSymbolConvergenceTechnique(int input1,int input2){
return input1 | input2;// OR gate: outputs yang when any input state is yang
}
int reversalOfHeavenAndEarthSymbol(int input){
return ~input & 1;// NOT gate: reverses yin and yang states
}
int spiritInsightSelectionSeal(int input1,int input2){
return input1 ^ input2;// XOR gate: outputs yang when input states are different
}
Elder Liu Mo Ran looked at the symbols on the paper, his eyes shining with wisdom: “Ru Yan, your idea is very creative. The concept of spirit power states is indeed recorded in the ancient texts, but no one has thought of systematically applying it to mechanism matrices. How will these spirit power logic gates function in actual mechanism art? Especially this spirit symbol convergence technique, what is its principle?”
“Master, the spirit symbol convergence technique embodies the ‘OR gate’!” Liu Ru Yan took out two spirit stones, “Let me demonstrate with an example.”
She placed the two spirit stones on the table, one representing the left sensor and the other representing the right sensor.
“You see, the principle of the spirit symbol convergence technique is ‘if any input is yang, then the output is yang.'” Liu Ru Yan explained, “It’s like a security system; as long as either the left or right sensor detects an enemy, the alarm will sound.”
She began to demonstrate:
// Truth table demonstration of the spirit symbol convergence technique
void demonstrateSpiritSymbolConvergenceTechnique(){
// Case 1: No enemy on the left (0), no enemy on the right (0) → No alarm (0)
int result1= spiritSymbolConvergenceTechnique(0,0);// 0 | 0 = 0
// Case 2: Enemy on the left (1), no enemy on the right (0) → Alarm (1)
int result2= spiritSymbolConvergenceTechnique(1,0);// 1 | 0 = 1
// Case 3: No enemy on the left (0), enemy on the right (1) → Alarm (1)
int result3= spiritSymbolConvergenceTechnique(0,1);// 0 | 1 = 1
// Case 4: Enemy on the left (1), enemy on the right (1) → Alarm (1)
int result4= spiritSymbolConvergenceTechnique(1,1);// 1 | 1 = 1
}
“Wonderful!” Elder Liu Mo Ran suddenly realized, “This is what the ancient texts refer to as ‘spirit symbol convergence, all sources return to one’! No matter how many input sources there are, as long as one is yang spirit power, the entire formation will be activated!”
“Exactly!” Liu Ru Yan continued, “In the mechanism matrix, we can use the spirit symbol convergence technique to construct multi-layered defense systems.”
She arranged the components on the table into a 4×4 matrix:
[Jade Slip Contract Array] [Spirit Symbol Convergence Technique] [Jade Slip Contract Array] [Spirit Symbol Convergence Technique]
[Spirit Symbol Convergence Technique] [Jade Slip Contract Array] [Spirit Symbol Convergence Technique] [Jade Slip Contract Array]
[Reversal of Heaven and Earth Symbol] [Reversal of Heaven and Earth Symbol] [Spirit Insight Selection Seal] [Spirit Insight Selection Seal]
[Spirit Insight Selection Seal] [Spirit Insight Selection Seal] [Reversal of Heaven and Earth Symbol] [Reversal of Heaven and Earth Symbol]
“You see,” Liu Ru Yan pointed to the spirit symbol convergence technique components in the matrix, “we place the spirit symbol convergence technique in these positions because the defense system requires high sensitivity. Whether it’s ground vibration sensors, spirit power fluctuation detectors, or visual alert arrays, as long as any one detects a threat, the entire defense system must activate. This is the clever use of the ‘OR gate’ in mechanism art!”

Elder Liu Mo Ran pondered, “This design is very clever. However, if the enemy knows our arrangement of spirit power state logic gates, won’t they be able to easily crack it?”
Liu Ru Yan smiled, “Master, you are very thoughtful. Therefore, we need to add a dynamic change mechanism, allowing the spirit power states to automatically adjust according to the time of day.”
She continued to write symbols on the paper:

“Wonderful!” Elder Liu Mo Ran exclaimed, “This way, even if the enemy knows our basic layout, they cannot predict the current combination of spirit power states. This greatly enhances the security of the defense system! Moreover, this time-based change mechanism fully complies with the laws of nature in our cultivation world!”
At that moment, the door of the scripture hall was gently pushed open, and Elder Zhao Shou Zheng walked in.
“Junior Brother Liu, niece Ru Yan, still studying mechanism art so late?” Zhao Shou Zheng’s gaze fell on the drawings and symbols on the table, “What is this? It looks like some kind of formation diagram.”
“Elder Zhao, you came at the right time,” Elder Liu Mo Ran warmly greeted, “Ru Yan is studying the combination of two-dimensional matrices and spirit power state logic gates, aiming to create a new type of defense system.”
Zhao Shou Zheng examined the drawings closely, frowning slightly: “Two-dimensional matrix? Spirit power state logic gates? These sound like the ‘new school’ theories from the mechanism hall. Traditional mechanism art emphasizes the flow of spirit power and formation layout; can these complex spirit power state operations really be useful?”
Liu Ru Yan respectfully replied, “Elder Zhao, I believe that traditional mechanism art and spirit power state theory are not in conflict. In fact, spirit power states can help us control the flow of spirit power more precisely, achieving more complex defensive effects. The ancient texts record that the ancient Immortal Alliance’s mechanism hall constructed the legendary ‘All Laws Return to One Formation’ through this method.”
“Oh?” Zhao Shou Zheng became interested, “All Laws Return to One Formation? I’ve only seen this name in ancient texts, said to automatically identify and counter any attack. How about we have a contest? Use your ‘spirit power state matrix’ against my traditional formation and see whose defense is better.”
Elder Liu Mo Ran looked worried: “Elder Zhao, Ru Yan’s spirit power state theory is still in the research stage…”
“It’s okay, Master,” Liu Ru Yan said firmly, “It’s a good opportunity to test whether my theory is correct. Moreover, the ancient texts record that the foundation of the All Laws Return to One Formation is the spirit power state matrix.”
Soon, in the empty space of the scripture hall, two defense systems began to be constructed.
Elder Zhao Shou Zheng set up a traditional “Four Symbols Defense Formation”, based on the four symbols: Qinglong, Baihu, Zhuque, and Xuanwu, forming a solid defense system. The spirit power flowed freely in his hands, clearly a familiar process.
Liu Ru Yan, on the other hand, began to construct a 4×4 spirit power state matrix using spirit stone mechanism components according to her design. However, things did not go as smoothly as she had imagined…
“Oh no!” Liu Ru Yan frowned, “The spirit power states cannot be transmitted stably!”
She discovered that when trying to connect multiple spirit power gates into a matrix, the spirit power experienced severe attenuation and interference during transmission. The originally clear yin and yang states became blurred, and the entire matrix flickered, on the verge of collapse.
“Ru Yan, what happened?” Elder Liu Mo Ran asked with concern.
“Master, theoretically it should work, but I encountered problems in practice,” Liu Ru Yan wiped the sweat from her forehead, “The ancient texts only recorded the concept of spirit power states but did not detail how to solve the mutual interference issues during spirit power transmission.”
Zhao Shou Zheng watched from the side, though he said nothing, his eyes clearly showed a hint of “I knew this would happen”.
Liu Ru Yan took a deep breath and adjusted her thinking. She remembered the bitwise operation principles the system had mentioned; perhaps she could use different spirit power frequencies to distinguish different transmission channels?
She began to rebuild, this time carefully controlling the frequency and intensity of each spirit power, trying to make different spirit power gates work on their own “channels”.

The tests began, and the three simulated different attack scenarios.
First Round: Single Target Attack
Elder Zhao Shou Zheng’s Four Symbols Formation immediately responded, with the Qinglong formation launching a water attack, instantly hitting the simulated target. “The advantage of traditional formations lies in their rapid response and powerful force.”
When it was Liu Ru Yan’s turn with the spirit power state matrix, another unexpected event occurred!
“This won’t do!” Liu Ru Yan exclaimed in a panic, “The spirit power state transmission delay is too severe! From detecting the target to triggering the attack, it actually took a full ten breaths of time!”
Although her matrix ultimately completed the attack judgment, the speed was simply too slow to respond to rapid attacks in actual combat.
“Ru Yan, where is the problem?” Elder Liu Mo Ran asked nervously.
“Master, I found that when the spirit power states undergo processing through multiple logic gates, each layer produces a delay. After four layers of processing, the delay accumulates to an unacceptable level,” Liu Ru Yan said dejectedly, “Maybe… maybe this theory really isn’t practical.”
Zhao Shou Zheng sighed: “Niece Ru Yan, your idea is very creative, but in actual combat, speed is life. If you can’t guarantee basic response speed, then no matter how precise the judgment is, it is meaningless.”
Liu Ru Yan bit her lip, a hint of unwillingness flashing in her eyes. Could it be that she was really wrong? Was the spirit power state theory recorded in the ancient texts merely theoretical?
“Wait!” Just as Liu Ru Yan was about to give up, she suddenly thought of something, “I understand! The problem is not with the spirit power states themselves, but with my processing method!”
She re-evaluated her design: “I have been processing spirit power states in a serial manner, but the characteristic of bitwise operations is that they can be processed in parallel! Why should I let the spirit power transmit layer by layer?”
She suddenly recalled the principle of the spirit symbol convergence technique and began to calculate quickly on paper:
// Parallel spirit power state processing optimization
int parallelSpiritProcessing(int input1,int input2,int input3,int input4){
// Perform multiple state operations simultaneously, rather than serially
int result1= jadeSlipContractArray(input1, input2);
int result2= spiritSymbolConvergenceTechnique(input3, input4);
// Key optimization: use spirit symbol convergence technique to collect all results simultaneously
int intermediateResult1= spiritSymbolConvergenceTechnique(result1, result2);
int intermediateResult2= spiritSymbolConvergenceTechnique(input1, input3);// Parallel processing of other combinations
int intermediateResult3= spiritSymbolConvergenceTechnique(input2, input4);
// Final summary: still use spirit symbol convergence technique
int finalResult = spiritSymbolConvergenceTechnique(intermediateResult1, spiritSymbolConvergenceTechnique(intermediateResult2, intermediateResult3));
return finalResult;
}
“Master! I found the solution!” Liu Ru Yan exclaimed excitedly, “The spirit symbol convergence technique is the key! It doesn’t need to wait; it can simultaneously receive information from multiple input sources. We can make different spirit power gates work simultaneously and then use the spirit symbol convergence technique to collect all results, rather than passing them layer by layer!”
“Master! I found the solution!” Liu Ru Yan exclaimed excitedly, “We can make different spirit power gates work simultaneously, rather than waiting for the previous gate to finish processing before passing it to the next!”
Second Round: Multi-Target Attack
Elder Zhao Shou Zheng’s Four Symbols Formation, when facing multiple targets, needed to disperse spirit power in various directions, resulting in reduced power. Qinglong, Baihu, Zhuque, and Xuanwu each responded to one direction, but there were instances of target omissions.
“Watch my spirit symbol convergence technique!” Liu Ru Yan readjusted her spirit power state matrix.
This time, she particularly strengthened the role of the spirit symbol convergence technique in the matrix. She designed a clever parallel processing system:
// Multi-target parallel processing system
int multiTargetDefenseSystem(int eastThreat,int westThreat,int southThreat,int northThreat){
// First layer: spirit symbol convergence techniques for each direction
int horizontalAlarm = spiritSymbolConvergenceTechnique(eastThreat, westThreat);// East or West has a threat
int verticalAlarm = spiritSymbolConvergenceTechnique(southThreat, northThreat);// South or North has a threat
// Second layer: total alarm system
int totalAlarm = spiritSymbolConvergenceTechnique(horizontalAlarm, verticalAlarm);// Any direction with a threat will trigger an alarm
return totalAlarm;
}
“Spirit symbol convergence technique, activate!” Liu Ru Yan recited the incantation.
The spirit symbol convergence technique components in the matrix began to glow, forming a large net that covered all possible attack directions. No matter from which direction the enemy came, as long as any sensor detected it, the entire defense network would respond immediately!
“It worked!” Liu Ru Yan joyfully discovered, “My matrix detected all four targets simultaneously, without missing any! This is the power of the spirit symbol convergence technique—’All sources return to one, with no gaps!'”
Elder Zhao Shou Zheng watched in astonishment: “Your… your spirit symbol convergence technique can actually process so many information sources simultaneously? This is much more efficient than traditional directional defenses!”
Third Round: Deceptive Attack
Elder Zhao Shou Zheng’s Four Symbols Formation was once again deceived by illusions, wasting a lot of spirit power. Although traditional formations are powerful, they indeed have shortcomings in identifying disguises.
When it was Liu Ru Yan’s turn with the spirit power state matrix, everyone held their breath. This was the crucial strike that would determine success or failure!
Liu Ru Yan took a deep breath and activated her matrix. This time, she not only used parallel processing but also added a new design—a spirit power feature comparison system.
“Spirit Insight Selection Seal, activate!” Liu Ru Yan recited the incantation.
The spirit power gates in the matrix began to operate at high speed, with different colors of light flowing within. Suddenly, a blue light shot out from the matrix, accurately hitting the real target while all the illusions remained unharmed!
“It worked!” Elder Liu Mo Ran exclaimed excitedly, “It really identified the true and false targets!”
With the three rounds of tests concluded, the results were astonishing.
Although Liu Ru Yan’s spirit power state matrix still lagged behind the Four Symbols Formation in response speed for single target attacks, it exhibited significant advantages in multi-target processing and disguise recognition. More importantly, this precise control of spirit power was something traditional formations could hardly achieve.
“Is this… really possible?” Zhao Shou Zheng looked at the test results in shock, “Although there are still shortcomings, your spirit power state matrix indeed shows advantages that traditional formations do not possess!”
Elder Liu Mo Ran smiled with satisfaction: “Elder Zhao, do you believe it now? The combination of traditional mechanism art and spirit power state theory can indeed produce unexpected results. Ru Yan’s discovery, although still not mature, is definitely a significant breakthrough in the development of our instant noodle sect’s mechanism art!”
Liu Ru Yan wiped the sweat from her forehead, feeling a mix of emotions. From the initial interference in spirit power transmission to solving the processing delay issue, and finally to the successful validation, this journey was filled with setbacks and challenges. But it was precisely these difficulties that deepened her understanding of spirit power state theory.
Zhao Shou Zheng remained silent for a long time, finally solemnly saying to Liu Ru Yan: “Niece Ru Yan, your research on spirit power states has indeed opened a new direction for mechanism art. This is not just an improvement of formations, but a re-understanding of the essence of mechanism art! Could you please record these theories in detail for the entire sect to study?”
“Of course, Elder Zhao,” Liu Ru Yan humbly replied, “This is just a preliminary application of the ancient texts’ theories, and there are still many deeper mysteries to explore. However, I have discovered during my research that this combination of spirit power states seems to contain some deeper laws.”
At that moment, the system’s voice echoed again:
System: “Congratulations, host, for successfully combining two-dimensional arrays with spirit power state mechanism art. The spirit power state matrix system has been validated successfully. New function unlocked: Three-dimensional spirit power state array. Simultaneously detected unknown energy fluctuations, suggesting strengthening defenses. Warning: Detected strong interest in the concept of ‘mechanism computer’, triggering advanced research path.”
Liu Ru Yan felt a chill, as if something was watching them in the dark. She looked out the window, and something seemed to flash by in the night.
“Master, Elder Zhao,” Liu Ru Yan said seriously, “I feel that danger is approaching. Moreover… I feel that our research may have touched upon some forbidden areas.”
Elder Zhao Shou Zheng and Elder Liu Mo Ran immediately became alert. As experienced cultivators, they also sensed that faint yet palpable threat.
“It seems,” Elder Liu Mo Ran said solemnly, “that our research on spirit power states has attracted the attention of certain individuals. Ru Yan, your discovery may be far more important than we imagined. The ancient texts record that the ancient Immortal Alliance’s mechanism hall was destroyed because they researched similar spirit power state combinations…”
He did not finish his sentence, but the three understood the implication.
The night wind blew through the window, and the candlelight in the scripture hall flickered uncertainly. The three exchanged glances, all understanding that from this moment on, the instant noodle sect’s mechanism art research would no longer be merely an academic exploration, but a crucial topic related to the safety of the entire sect. And Liu Ru Yan’s spirit power state matrix, although still not mature, had already shown potential enough to attract the attention of certain forces.
Exercises
Basic Problem (★): Constructing Spirit Power State Gates
Please implement a simple spirit power state gate class in C++, including the Jade Slip Contract Array (AND gate), Spirit Symbol Convergence Technique (OR gate), and Reversal of Heaven and Earth Symbol (NOT gate) as the three basic spirit power state operations.
Advanced Problem (★★): Two-Dimensional Spirit Power State Matrix
Design a two-dimensional spirit power state matrix system that can return the corresponding spirit power state operation results based on the input coordinates and spirit power gate type, and simulate the effects of time changes on the matrix.
High-Difficulty Problem (★★★): Dynamic Spirit Defense System
Design a dynamic spirit defense system that can automatically adjust the types of spirit gates and matrix layouts based on time, threat levels, and other factors, and simulate multi-target attack scenarios, laying the foundation for future construction of mechanism computers.
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