The iron bullet of four hundred catties was placed in the middle of the shogunate's tent, surrounded by the generals of the Qin army, including Ziji, the prime minister of Wei. After he was imprisoned in the court, he was waiting for death, who wanted the gods to appear one day, and the king of Wei personally went to the court prison and knelt down to ask him to come out and serve as the prime minister again. Now, he is leading the Wei army of 200,000 to attack Chu with the Qin army.

'You ride in the car, I wear a hat, he gets off the car every day...... 'This is a completely chaotic era, rich overnight, poor and lowly every day, has become a daily routine.

"Is this really an iron bullet?" The sub-season is still in style, and his face is even more ruddy than a few months ago. The iron bullet was about half a foot in diameter, and this one missed the rushing car, and after falling to the ground, it split in half, and its appearance was round, and the cracked surface was pitted, and the iron particles inside could be seen.

"It's an iron bullet." Yan Wuyi came at the right time, and he saluted him as soon as he came, including Xin Wu. "Only an iron bullet can damage my three-foot giant wood rushing car. I have ordered the rebuilding of Chongcheng with four-foot logs, and as long as the timber is safe, it can be completed in ten days. ”

It is the safest way to build a road to lead directly to the city, and the Qin and Wei coalition forces must take Chencheng this time and establish a bridgehead for the next attack on Chu. I didn't want Xin Wu but didn't say it, and said: "This bullet weighs three or four hundred catties, all of which are fine iron, if one catty is worth ten yuan, it is three or four thousand yuan." Today, there are no less than five or six hundred of them issued by the Jing people, so they may be worth two or three hundred gold......"

The Chu people fired iron bullets, iron is a very expensive thing, two or three hundred gold is thrown out in a day, and this battle will definitely not last. Even if you don't count the money, an iron bullet weighs 400 catties, and five or six hundred pieces are more than 100,000 catties, and no matter how big the consumption is, you can't hold it.

"General Miao." Yan Wuyi didn't care about Xin Wu's face, and said it bluntly. "Jing people have the art of great iron, and they also have the art of evil iron. King Jing once said to people that the iron of Jing Kingdom is not worth a penny, and the price of evil iron is naturally cheaper. We thought that five or six hundred iron bullets were worth two or three hundred gold, but in the eyes of the Jing people, they might only be worth twenty or thirty gold......"

In the big tent of the Qin army, the iron bullet of 400 Chu Jin was split in half, but the iron bullet next to the trebuchet in the city was round. Each bullet has a 'C' character on it, indicating that it is a C-type city-breaking bomb. In the trebuchet group, the soldiers ran vigorously in the turntable, and every three minutes, more than a dozen iron bullets were thrown out of the city, smashing the rushing cars covering the long wall even worse.

"Stop firing the cannon." The lookout on the city wall raised his flag, and the army under the city immediately shouted to stop, and after a few 'clucks', the trebuchet finally fell silent, and a group of thrashing and panting on the ground were lying on the ground.

"Count the shells." The artillery commander was a weak and reckless division, and he was jealous. It is almost impossible to get an illiterate officer to understand ballistics, but it is easy to get an engineer to understand this. As for whether they are brave or not, anyway, the artillery soldiers should not go to the battlefield, they always shoot in a safe place.

"The general has an order, immediately count the number of shells." The voice of the male is too quiet, and his orders must be conveyed by the tall lieutenant general on his side to all the captains. He shouted loudly, and the sound of counting came from all the guns.

"Report to the general, there are 320 rounds of iron bullets, 675 rounds of stone bullets, and 51 rounds of lead bullets." The military officials gathered the numbers and told them loudly. Gong Yi frowned when he heard this. Twenty trebuchets, not counting buckshot, on average, one trebuchet will not be able to fire fifty. "Report to Yingdu, our artillery ammunition is seriously missing, and it is only enough for a battle."

"Yui." The officer said yes and ran to send the message. There have been several times in the past half a month, but they have not been replenished.

"Report, Chen Ying urged the artillery again. There were less than 1,000 rounds of artillery shells, which was only enough for a battle. He asked for 5,000 rounds of stone and iron bullets. "Yingdu Da Sima Mansion, after the classification of the flight messages sent from all over the country, a small half of them were sent to the Transportation Division, which is the busiest department except for the Confidant Division, so busy that the director E Zhuo personally calculated the lines on the big blackboard.

"Five thousand?" The large blackboard occupies an entire wall, and Ezhuo, whose face is covered with chalk ash, is standing on the wooden ladder, turning back in surprise. Of the 400 pounds of artillery shells, 5,000 rounds is 500 tons.

"Yes, yes." The little official nodded again and again, indicating that he had not mispronounced it.

"Chen Yingjia 500 tons." On the blackboard is a large table, the top row of the table, in the grid is written Chen Ying, Xiangcheng, Xincai, Pingyu, Chengyang, Mulingguan ......, these places are all battlefields; In the leftmost column of the table, the grid is the major counties and towns in the country, including Yingdu, Chen Ying, and Xiangcheng, as well as Chen Ying and Xiangcheng because they have to transport people out of the column.

E Zhuo said that Chen Ying added 500 tons, not adding 500 tons at the top of the table, but adding 500 tons to the grid corresponding to Chen Ying at the bottom of the table. At the top of the box is a total in Arabic numerals, measured in tons; There are many numbers written in small letters under the total, and the contents are written at the front of the numbers: corn, shackles, wood, clothes, armor, ......, 500 tons of shells are added to the bottom of the grid, and the total number above is also erased, and 500 tons are added, which represents the demand.

The rightmost column of the table, just like the bottom of the table, also has some numbers written on each grid corresponding to the city, the top is a large number, and the bottom is full of decimal numbers of various materials, and the unit is also tons, which represents the supply.

The top, bottom, left, and right of the table, with the left and top representing the city, and the right and bottom representing supply and demand. The table in the middle is not empty, and there are some numbers written on the top left of the grid. This represents mileage. That is, how many miles of material transportation from Zuoliejia City to the uphill subland, for convenience, all land routes were converted into waterways.

"Redefine the initial scheme with the minimum element method." E Zhuo beat his forehead and commanded. When the initial plan was determined just now, he was so tired that he was about to faint, but no artillery shells were not played, and he had to be recalculated to give Chen Ying artillery shells.

Feeling the chaos of military transportation last year, this year the Great Sima Mansion began to use the on-the-table transportation operation method taught by the Great King to guide the transportation of armaments. That is, the demand and supply quantities of the demand and supply places are all listed, and the mileage (freight rate) between each place is determined at the same time, and then the operation is carried out on the table. This is a calculation method that uses the list method to solve the transportation model in the linear programming problem, which avoids a large number of linear equations that no one can understand, and can be regarded as one of the quick linear programming solutions.

Ezhuo's brother is Ejun, that is, the feudal monarch of Ezhou. Ezhou is on the Yangtze River, and its boats connect the whole country. The Transportation Division can only let Ejun's people be responsible. First, I have been doing business in Ezhou for a hundred years, and I have a lot of transportation experience, and second, there are many boats and sailors in Ezhou, so it may be difficult to mobilize Ezhou boats to let others be the director of the transportation department.

Solving lists is simple, as long as you can add, subtract, multiply and divide, or even just add and subtract, but the problem is that the actual problem is often more complex than the standard model. For example, the standard model only sells a single good, but in reality there are corn, penny, wood, clothing, armor, arrows, coal, ...... one or twenty kinds of goods; The supply and sales quantity of the standard model is always equal, and the actual number of sales is never equal; The standard model has no material level because there is only a single cargo, but in practice, all kinds of materials are graded, and sometimes the grain is the most urgent, and sometimes the weapon is the most urgent.

Another is that the optimal solution of the operation on the table is only the cargo transportation plan, which does not mean that there can be so many ships to transport the goods to the destination. As a matter of fact, in order for arms transportation to be truly scientific, it is also necessary to solve the problem of the shortest path. This is not something that can be solved by Ezhuo's calculation of four knives, only Xiong Jing himself calculates and solves it.

"Yingdu's 500-ton artillery bombs were transported into Chen Ying," a Fa Calculation standing on the wooden ladder took over from E Zhuo, and began to find the initial transportation plan with the minimum element method. He wrote Chen Ying on the top line and Yingdu on the far left, and wrote 500 tons of artillery shells.

"Yingdu's 500-ton artillery bombs were transported to Chen Ying, and Yingdu minus 500-ton artillery shells." In the rightmost column of the large table, there is a repeater of the law, who supplies Gerry in the right column and reduces the shells by 500 tons.

"Yingdu's 500-ton artillery bombs were transported to Chen Ying, and Chen Ying's 500-ton artillery bombs were subtracted." The bottom line of the big table is repeated, and the bottom row represents the demand, since the 500-ton artillery shells have been 'transported' to Chen Ying, then this demand must be subtracted.

"Chen Ying's artillery bomb is satisfied, draw a line." The last calculation supervised the entire calculation, and after making sure that everyone was doing it correctly, he ordered the line to be crossed. At the top of the column with Chen Ying written on it, a black line is drawn from top to bottom, black represents the artillery shell, and the line represents that Chen Ying's artillery ammunition has been satisfied, not that Chen Ying's other materials are satisfied.

"Fifteen tons of millet from Yangling were transported into Chen Ying." Fifteen tons of millet were written in the intersection grid of Chen Ying and Yangling.

"Fifteen tons of millet from Yangling were transported to Chen Ying, and fifteen tons of millet from Yangling." The rightmost column of Yangling supplies Geri, minus fifteen tons of millet, which is zero.

"Fifteen tons of millet from Yangling were transported to Chen Ying, and Chen Ying reduced fifteen tons of millet." At the very least, Chen Ying's demand for gri, millet minus fifteen tons.

"There is still not enough corn." The voice of the last Fa Calculation, Yangling is the closest to Chen Ying, and the Su of Yangling is not satisfied with Chen Ying, so he can only transfer the longer Su to Chen Ying. "Draw the giant yang millet."

"Twelve tons of Juyang millet were transported into Chen Ying," the table continued to work, and the other wall opposite was also working. Unlike the table wall, this wall is a tree map, similar to the map of the Chu state, but all the roads are simplified, with only points representing the city and a line representing the road, drawn with arrows, and various numbers next to the line.

The transportation of materials is limited not only by the quantity of supply, but also by the tonnage of transportation. When the method of calculation shouted 'Quyang 200 tons of coal into Chen Ying's ......', someone on the side of the tree map coldly said: "The tonnage of Chen Ying's route is insufficient." ”

"How much tonnage is left?" Fasuan turned his head and asked, most of the materials have been transferred, and coal is not too important.

"Only seventy-nine tons remaining." After checking the numbers on the tree map, I answered.

"Seventy-nine tons of coal from Quyang were transported to Chen Ying." The arithmetic erased the two hundred tons written in the grid and changed it to seventy-nine tons, and followed his movements, while the rest of the arithmetic also changed the numbers in the grid.

"Chen Ying's materials are 'sufficient', draw a line." In the end, the legal calculation ordered a line to be drawn, which means that Chen Ying has no material needs in this round.

"Yingdu's 100-ton artillery bombs were transported into Chengyang," the first-place Fa Xuan sang again, and the unfinished calculation continued.