There were the top ten categories of undead fantasy romance novels, the western fantasy novel rankings, 300,000 to 500,000 words, serials, and generally recognized as interesting female novels?

I haven't been able to find all the novels that you want to match, but I've tried my best to find some related books. Here are a few related novels I found for you: 1. "The Road to the Underworld to Make a Living" Author: Shi Youyu, Category: Fantasy, Other Fantasy, Completed, You Can Enjoy It with Rest assured 2. "Rebirth: From the East to the West" Author: Xia Zhiyan, Category: Fantasy Romance, Western Fantasy, Finished, You Can Enjoy It with Rest assured 3. "Nine Rings" Author: First Grade Young Master, Category: Fantasy Romance, Western Fantasy, Finished, You Can Enjoy with Rest assured 4. "Invincible Heroes: The Battle of Heroes" Author: War Chain, Category: Game, Virtual Online Game, Completed, You Can Enjoy It with Rest assured 5. Author: Drinking Water, Thinking of Apes, Category: Suspense, Secretive Suspense, Finished, You Can Enjoy with Rest assured 6. Author: Dangmu Dangze, Category: Fantasy Romance, Western Fantasy, Finished, You Can Enjoy with Rest assured 7. [Life Through the Other World] Author: No Flowers, Category: Fantasy Romance, Western Fantasy, Finished, Enjoy with Rest assured. 8. "The Magician's Secret Paradise" Author: Let go of Hao Zi, Category: Suspense, Secret Suspense, Finished, You can enjoy it with ease. The following is a brief introduction of these novels: 1. [The Road to the Underworld to Make a Living] Tang Wuyuan stood in front of the Gate of Hell and thought about how he had burned the underworld three hundred years ago. Why didn't he think about how pathetic he was working to earn Underworld Coins today… 2. "Rebirth: From the East to the West" This…was indeed the New New World. Others were reborn as princesses, rich girls…and even handsome men. Handsome guys who were willing to throw themselves at her were all gentle! Why? She had been reborn so differently. He woke up in a coffin and saw a large forest… Alright, she had transmigrated to another world. In the world of magic, magic could be seen everywhere. But…her species, Ms, was not human… What? She was the only survivor of her race, but what kind of race was this? She wanted to be human! 3. [Nine Rings] Could a girl with the bloodline of the divine beast Azure Phoenix, who had changed her fate in exchange for a life, really change her fate? "Update: 3000+ updates every night from 7 to 10. If there are special circumstances, further notice will be given. PS: Friends, passing by, if you think my work is good, please add it to your collection and recommend it. Thank you, friends ^-^ 4. "Invincible Heroes: Battle for Power" The new book had been uploaded. …… This book only had about 200,000 words. It was the story of the third game, Invincible Heroes. It was completely free, and it generated electricity for love. 5. Paper Guest Clear Stream With a clear stream, why fear time and space? This was the story of a man's soul. Because of the continuous soul transmigration, the only thing he could keep was the name Xu Qingliu. 6. [Book of the World's Chaotic Souls] Everything in the world had a soul. Those who were able to control their spirit and control their power were called Spirit Tamer… Between a controller and a fey, they were partners, comrades, confidants, lovers, or perhaps enemies! The driver uses blood to borrow strength, and the spiritual things complement each other. Do you want to be domineering for a moment, or are you afraid of being alone for a lifetime? I'm willing to accompany you and bring you happiness! [Cover: A product of mm Watermark. Speaking of which, her skill level is getting higher and higher ~] 7. [Life in the Other World] Crossing over to another world Trying to blend into this world I just want to live a quiet, ordinary life About the life of a Chinese medicine practitioner in another world 8. The Magician's Secret Paradise We live in a linear space-time, strictly following the law of causality of "spring planting" and "autumn harvest", but can you imagine a non-linear space-time? In this space-time, there was no cause and effect relationship. Perhaps you had just attended your daughter's wedding today, and your mother would be born tomorrow. You would pass through the river of time. Any change would trigger the butterfly effect and lead to millions of possibilities in your life. Living in such a chaotic space-time, could you grasp the pulse of fate and control your own destiny? With this book, I would like to pay tribute to the movie "Butterfly Effect"! [Common group] 147927358 (No fan requirement) [V-group] 51780993 (2000 followers) These works all have good reputations for your reference.

I haven't been able to find all the novels that you want to match, but I've tried my best to find some related books. Here are a few related novels I found for you: 1. "Painting Spring" Author: Green Red, Category: Fantasy Romance, Western Fantasy, Finished, You Can Enjoy with Rest assured 2. "The Challenge of the Divine Power of the Glorious Spirit" Author: Devourer Empire, Category: Fantasy, Sword and Magic, Completed, You can enjoy it without worry. 3. "The Demon King's 2,000 Time Traversing" Author: March Flying Kite, Category: Fantasy Romance, Western Fantasy, Completed, You Can Enjoy with Rest assured 4. "I Have a Pirate Ship" Author: S Honor, Category: Fantasy, Other Fantasy, Completed, You Can Enjoy It with Rest assured 5. "Light in the Dead Silence" Author: Ning. [Stargazing][Category: Game, Virtual Online Game][Completed, can be enjoyed without worry] 6. "Xiaoyao You" Author: Lao Zhuang Mohan, Category: Fantasy Romance, Western Fantasy, Finished, You Can Enjoy with Rest assured The following is a brief introduction of these novels: 1. Painting Spring sketching, advertising, painting the erotic palace Fight at home, fight at business, tease handsome guys ………………………………………… Use your mind flexibly, draw a sketch before you draw the erotic palace Make money from your own job, make light boxes, print DM The creative machinery meets, the love and career are both fruitful Uh ~ The author is actually very YD, and the works are occasionally very KUSO. I'm not guilty, I'm just being heartless ~ ………………………………………… (Uh, let's do something normal…) She's an advertising designer from the modern era He's a handsome mechanic from another world He caught a glimpse of her under the bell tower, and his feelings for her were born. She had lived in a rotten family, played with advertisements, and became independent. One day, she would walk together with him and create a legend together. ……………………………… 2. "The Challenge of the Divine Right of the Glorious Spirit." On this Xuan Ling Continent, there were all kinds of strange creatures. Humans were not the only ones, but they were the main body of the continent. The protagonist Zhuo Yi launched a counterattack against the most powerful existence in the human empire in order to save his Buddhist friend. With the help of the Undead Race, could he save his friend? And what was the purpose of the Pope, who was in such a high position? Original Name: War of the Undead War of the Undead 3. "The Demon King's 2,000 Transmigrations" The Demon King had transmigrated again. First of all, the demon king who had transmigrated into grass was trampled to death by a dog. The angry Demon King wanted to take revenge on this dog in his next life. He did not expect that the second time he transmigrated, he would become the murderer of his previous life. Revenge? Of course not! The Infernal King calmly accepted this life, but he felt that this novel world was a little strange… * The Demon King wanted to complete the mission and leave this strange novel world. However, Bai Yang thought that he would let the prince marry a witch, but he was told by the system to stay away from the witch. Bai Yang could only change his plan at the last minute. The mission that they had thought would be extremely difficult had become extremely easy because of a single sentence from An Lin. Bai Yang (>? <=): This was the easiest marriage escape in history. An Lin,[How many times have you escaped?] * The same world, different people. Part 1: The Prince Who Escaped Marriage Part 2: I Don't Want to Be a State Preceptor Part03…Continuing 4. I Have a Pirate Ship Wu Hao's father entered Qinggong Ocean but never returned. He only left Wu Hao with a starry necklace with the brightest star recorded on it. Many years later, Wu Hao took the necklace and entered the ocean of young workers to look for his father. However, he did not expect to enter an unimaginable world. A world of the sea. Danger lurked everywhere, and sea monsters wreaked havoc. Wu Hao only had one boat at the start. Please pay attention to my new work,"The Adventures of the Pipi Demon City"(QQ Reading). I will definitely live up to everyone's expectations. 5. Light in the Dead Silence The world here was devastated and lifeless. The walking creatures had lifeless eyes, and the entire world was dead silent. In this deathly silence, the surviving people fought bravely against fate, creating a light that was insignificant but indispensable for the future of mankind. Zou Yuning, who had entered the game for the second time, had nothing left. He could only rely on his deep understanding of the game and his memory from the closed beta to gather new teammates, develop new forces, and rebuild his own world from scratch. 6. "Carefree Travel" "I am not bound by good and evil, I only care about my own happiness. The moment you become useless to me is the day I abandon you. However, as long as you are under my wings, I will…protect you." Whether you are a human or a beast. These works all have good reputations for your reference.

I haven't been able to find all the novels that you want to match, but I've tried my best to find some related books. Here are a few related novels I found for you: 1. "Baby Egg" Author: Nine Suihe, Category: Fantasy Romance, Western Fantasy, Finished, You Can Enjoy with Rest assured 2. [The Embroidered Lady of the Fiery Alchemist] Author: Hopeless Life, Category: Fantasy Romance, Western Fantasy, Finished, Enjoy with Rest assured. 3. "Illusion God Era" Author: Zhuang Gong is very idle, Category: Fantasy Romance, Western Fantasy, Finished, You can enjoy it at ease. 4. "Cute Cat Ranch" Author: Dancing Moon Crimson, Category: Fantasy Romance, Western Fantasy, Finished, You Can Enjoy with Rest assured 5. "Fox Play in the Red Dust" Author: Lin Jiacheng, Category: Fantasy Romance, Western Fantasy, Finished, You Can Enjoy with Rest assured 6. Author: Drinking Water, Thinking of Apes, Category: Suspense, Secretive Suspense, Finished, You Can Enjoy with Rest assured 7. "Star Cloud Sea" Author: Flowing Crystal Pupil, Category: Fantasy Romance, Western Fantasy, Finished, You can enjoy it with ease. The following is a brief introduction of these novels: 1. Baby Egg It wasn't scary to transmigrate into a fairy tale. What was scary was that it didn't act according to the script. When she woke up, she saw seven dwarves and a "prince" riding a white horse through the hazy white wall. She thought she had become Snow White, but who knew that she was not even a human at this time? The white wall around her was not a crystal coffin at all, but an eggshell! The result was obvious. The gorgeous prince in Snow White who opened the crystal coffin and kissed the princess to wake her up was impossible. There was only this magician who was not inferior to the prince at all. He knocked on the eggshell to check the quality, then paid a gold coin to buy her egg. "^Omega ^, please hatch." "Call me daddy first." 2. [The Embroidery Lady of the Fiery Alchemist] "Only someone with my status is worthy of him!" Xiu Niang: "Yes, Princess. You have a body of ten thousand gold. You must not be wronged. I will definitely tell Master to make you his wife!" "Only I can give him the greatest help!" Xiu Niang: "If Younger Sister is willing, I am very happy. I will ask Master to marry Younger Sister as a concubine tomorrow!" "No, I can't! It's absolutely impossible for our master to have anything to do with a married woman! Madam, please have some self-respect!" Xiu Niang had always firmly remembered the "Three Obediences and Four Virtues" in her heart, but why did things develop differently from what she had imagined? 3. Illusion God Era Su Qing, the cold and aloof young master of China's oldest assassin family, had been betrayed by her relatives and had traveled to the Illusion God Continent. She had become the eldest daughter of the Qing Kingdom's Prime Minister. In the Illusion God Continent, men and women were equal, and they could all be officials in the same dynasty. Moreover, everyone had the chance to awaken the mirage beast in their hearts. Here, those who could awaken the mirage beast were known as mental illusionists. She had come so coldly. In this world, how would she show off her peerless magnificence? ---------------------- I will definitely write a book seriously! The new book needs everyone's support, and the newcomer also needs some small encouragement. Please give me your opinion and suggestions ~~ Bow! 4. Cute Cat Ranch He was hit by a car that was faster than a high-speed rail. The guy driving was actually better than Li Gang. One step and I'm sent to another world. Well, but… Fortunately, he gave me some burial items. With the Cute Cat Ranch, even if it was a god, he would plant it for you to see! Eh? He wondered if there would be many mature ladies in autumn after he planted the loli. Just like that, he brought a large number of powerful pets and trampled on the world of wild monsters! Just live happily like this ~~ That's it, meow! (Well, this book contains a lot of ACG nerds and cute elements. If you're not a veteran otaku, please be careful.) 5. Fox in the Red Dust She was a vixen who had come to this world. This world had its own rules, and there were countless people who manipulated these rules. Let's see how a beautiful vixen can maintain a clear and happy heart and a free body in this world. 6. Paper Guest Clear Stream With a clear stream, why fear time and space? This was the story of a man who was constantly being haunted. Because of the continuous soul transmigration, the only thing he could keep was the name Xu Qingliu. 7. [Star Cloud Sea] Can I bring my memories with me when I reincarnate? Of course he could, but he would have to make some sacrifices and take some risks. Would his new life be in this world or another world? "We recommend the Otherworld. The environmental pollution on Earth is too serious. What was the most important thing after birth? While he still had his memories, he had to take a deep breath to build a strong body. Also, don't forget that immortal cultivation technique you obtained with great difficulty. You can learn to gather qi now. When she reached the age of a loli, she met a beautiful young man and expressed her goodwill. Accept or reject? One had to know that it was wrong to fall in love at a young age. First love would most likely fail. Secretly falling in love with a person, should I pursue him boldly or walk away silently? It was still very important to be of equal social status. If they were not worthy, it was better for them to leave quietly. This was the story of an ordinary girl who was reincarnated into an immortal cultivator in another world. The principle of doing things was that it was most important to stick to your beliefs. Rebirth should be more relaxing. Go to school, fight, fall in love… These works all have good reputations for your reference.

I haven't been able to find all the novels that you want to match, but I've tried my best to find some related books. Here are a few related novels I found for you: 1. [Life Through the Other World] Author: No Flowers, Category: Fantasy Romance, Western Fantasy, Finished, Enjoy with Rest assured. 2. Author: Qingjiang Water, Category: Fantasy Romance, Western Fantasy, Finished, You Can Enjoy with Rest assured 3. " I'm a Detective in a Wonderful World " Author: Lazy Otaku Cat, Category: Suspense, Suspense Detective, Completed, You Can Enjoy with Rest assured 4. " Little Magical Girl " Author: Yun Yun Xue 'er, Category: Fantasy Romance, Western Fantasy, Finished, You Can Enjoy with Rest assured 5. " The Great Dragon is Unlimited " Author: Marshal Black Wing. Category: Science fiction. Evolution and mutation. Completed. You can enjoy it without worry. 6. " Nun Is Crazy " Author: So Muddleheaded, Category: Fantasy Romance, Western Fantasy, Finished, You Can Enjoy with Rest assured 7. << Death >> Author: < Black and White >,< Category: Fantasy >,< Other Fantasy >>,< Finished >,< Enjoy > The following is a brief introduction of these novels: 1. [Life in the Other World] Crossing over to another world Trying to blend into this world I just want to live a quiet, ordinary life About the life of a Chinese medicine practitioner in another world 2. Book Charm As a useless cultivator without parents, Su Ting had good calligraphy but no strength to tie up a chicken. Fortunately, he accidentally opened the path of calligraphy cultivation. She could finally hold her head high and stand above the world… Entering the path with books, roaming freely, young master, will you accompany me? 3. I'm a Detective in a Wonderful World When he woke up, he was lying on the yacht, without any memories. When they arrived at the legendary island, strange nursery rhymes rang out in the villa hall, and evil spirits watched everyone in the darkness. The next morning, the first victim appeared… Having lost all his memories, he would begin his detective journey in the wonderful world. 4. Little Magical Girl The mysterious Illusion Sea, the disappearing Church, who could see through everything after a thousand years? A reborn girl with black hair and a peaceful life. Where would she go? 5. "The Great Dragon is infinitely good." "Do you want to understand the meaning of life? Do you really want to…live?" Dragon El said that the meaning of life was to sleep and eat when you were full. The Lord God said,"The meaning of life is evolution, okay?" Ai Er: I accidentally evolved after eating and sleeping. The Sovereign was speechless. It was very difficult to create a Main God's Space these days. If they didn't get some dragons, necromancers, or Iron Man, no one would watch. A different Infinity novel, looking at Infinity from the perspective of invincibility. A black dragon entered God's dimension and lost its power. In different horror movie scenes, it strengthened itself to exchange for godly equipment. It formed teams with famous people from different universes such as Black Widow, Rommel, Thanos, Iron Man, The Clown, Predator, Steve the Cube, Bai Suzhen, Alien, and others to survive. It met a group of good comrades, found the meaning of dragon life, and unraveled the secrets of God's dimension. 6. Nun is Crazy To fix the superpowered woman's happy life in the city. [The Tragic Woman, Regeneration, was hit by Vega's soul fragment while watching the meteor shower. She received Vega's skill, Repair.] This ability could repair anything back to its original appearance. From then on, she became a "cultivator" who collected junk and became rich. " It's not difficult for a person to occasionally collect junk. What's difficult is to persevere, be conscientious, and never repent for collecting junk for a lifetime…" 7. [Entering Death] The moment the cherry blossoms fell, the door to a new world opened for him. Ultra-modern technology and magic coexisted, and ancient legends brought the future together. Another golden age had arrived. That lonely figure was still looking at the horizon. He had once been in a war, and now he was in a war. There would always be a chance to return what he had lost. In fact, everything had just begun. The charm of the magic world was only the tip of the iceberg. The hot-blooded youth had returned! These works all have good reputations for your reference.

I haven't been able to find all the novels that you want to match, but I've tried my best to find some related books. Here are a few related novels I found for you: 1. " Dark Summoning Rules " Author: Yellow Spring Zhihe. Category: Fantasy Romance, Magic Fantasy Romance. Finished. You can enjoy it with ease. 2. " Cute Beast of the Medical Crown " Author: Fried Mushroom, Category: Fantasy Romance, Magic Fantasy Romance, Finished, You Can Enjoy with Rest assured 3. " My Undead Can't Be Trifled With " Author: Qi Le, Category: Science fiction, Time Travel, Completed, You Can Enjoy with Rest assured 4. " The Call of Mission of Meng Academy " Author: Xi Hui RQL, Category: Fantasy Romance, Magic Fantasy Romance, Finished, You Can Enjoy It with Rest assured 5. Author: Lin Jin, Category: Short Story, Short Story, Finished, Enjoy The following is a brief introduction of these novels: 1. Law of Darkness Summoning The inevitable war between races was just a game for the gods. Would Gu Xi, who was involved in it, go with the flow or be able to stay out of it… "Creatures from another world, heed my call and descend to this world! Contract Summoning!" The new book, When the World Begins to Evolve, has been released. Thank you for your support! 2. [Cute Beast of the Medical Crown] Who would have known that this was actually a world where one's three views were destroyed and one's moral integrity was shattered? Miao Miao fought back." Attack!" Nefarian was speechless.||| He had already completed the book, Hi Bun's Dad, and his new book, The Fairy Wife's Guide, was being serialized… 3. My Undead Can't Be Trifled With What was light? What was darkness? In the end, it was just strength. Light did not mean that you wanted it, and darkness did not necessarily belong to death. Red rain was falling from the sky. The Rain Lord held an umbrella and danced in the rain with a smile. The Skeleton King used its slender toes to play the tune of the billions of undead with an intoxicated smile on its face. The Undead Knight sat in front of his seat and tasted his dinner with a solemn expression. The zombie in the kitchen tidied up his crown and let out a series of hair-raising laughter. Ye Zisu sat on the throne of bones piled up with crystal skulls. She stared at everything that was happening around her and muttered in a low voice," Light is death!" Not far away, the golden Bone Dragon King sneezed. He looked at the Lich King, who was trembling with excitement, and subconsciously rolled his eyes. PS: Can't afford to offend? RBQ？emmm 4. "The Call of Mission of Meng School" This is my first time writing, please give me your advice. 5. Say Goodbye When he was about to die, he met a ghost officer who almost failed his internship. After some bargaining, he finally received a big gift bag for hospice care: Back to a certain point in life, It was the start of the seventy-day experience. ------ There are a total of 52 chapters in the text. Thank you for coming. These works all have good reputations for your reference.

I haven't been able to find all the novels that you want to match, but I've tried my best to find some related books. Here are a few related novels I found for you: 1. [I'm Not a Human at the Beginning] Author: Zhongxia Nanzhi, Category: Fantasy, Otherworld Continent, Finished, You Can Enjoy with Rest assured. 2. "The Undead Army Traversing the Fantasy World" Author: Invincible Emperor, Category: Fantasy, Oriental Fantasy, Completed, You can enjoy it with ease. 3. "The First Skeleton in the History of Online Games" Author: Braised Meat Mantou, Category: Game, Virtual Online Games, Completed, You can enjoy it with ease. 4. "Beast King Please Press Claws" Author: A few cups of wine, Category: Fantasy Romance, Western Fantasy, Finished, You can enjoy it at ease. 5. [Winnie's Life in the Other World] Author: Prince Steals Jade, Category: Fantasy Romance, Western Fantasy, Finished, Enjoy with Rest assured. 6. "Strange News Record" Author: Chen Ming Zhong Xiao, Category: Fantasy, Oriental Fantasy, completed, can enjoy at ease. 7. [Fox Face and Feathers] Author: Zhang Lian, Category: Fantasy Romance, Western Fantasy, Finished, Enjoy with Rest assured. 8. "The Age of Blood Witch" Author: Late in the Way, Category: Suspense, Ancient and Modern Legends, Finished, You Can Enjoy with Rest assured 9. "Fox Play in the Red Dust" Author: Lin Jiacheng, Category: Fantasy Romance, Western Fantasy, Finished, You Can Enjoy with Rest assured The following is a brief introduction of these novels: 1. "I'm not a human from the start." Lu Xiao never expected that after she transmigrated, she could not even be a human! The opening turned into a sword and was frozen in ice! "Fortunately, I still have a golden finger that can help me cultivate." Lu Xiao finally realized that she was not too miserable. "All of your cultivation is mine now, hehehe…" Lu Xiao laughed wildly in her heart. Starting from a frozen sword, Lu Xiao began her inhuman life. "A sword at the start, leveling up is all about swallowing!" [A Mysterious Zone: 943979133 Welcome to Join] 2. "The Undead Army Roams the Fantasy World" It was the year's most popular novel, the invincible novel! Bring a [Undead Ruler] game to the fantasy world, unlimited summoning, unlimited crushing. "No matter if you're a peerless genius, a peerless expert, an ancient emperor, or an ancient taboo, you'll be crushed by my endless undead. 3. "The First Skeleton in the History of Online Games" He had been killed by the system the moment he entered the game, and even his handsome character template had turned into a weak cannon fodder skeleton soldier… [System, what are you trying to do?] The System said,[Sorry, there's a bug. It's my fault.] 4. "Beast King, please press your claws." He had nothing and had to run for his life! God, give me back my peaceful life! Magical beasts scared her, nobles bullied her, foppish young masters teased her, and even the emperor had all sorts of reasons to kill her. Did he really think that a weak little girl like her was easy to bully? He was furious! The demonic beast was nothing, it was pierced by an arrow! What was the big shot? He would kill him with a single slash! What was a popinjay young master? He was crippled with one kick! Who was the emperor? He had destroyed his country! Calling her arrogant? She had no choice. Who asked her to have a Beast King as her husband! PS: This article is about human and beast love The new novel,<<REBIRTH Online Game>> has been released. Everyone, please vote for it. Favorite, support! 5. Winnie's Life in the Other World The prince was trapped in the tower, waiting for Cinderella to save him. 6. Records of Strange Things The story of a drowned ghost reincarnating, the battle between a cat and a mouse, the cry of the soul, the judgment of the underworld, the bizarre murder case, and so on. Each story was about 8000 words. 7. Fox Face and Feathers There was never thunder in the demon world. One hit and another hit and another hit! It scared the Fox King and stunned Fox Queen. The little fox was born with a human body. The elder said that it was gifted. But Su! However, she was an illegitimate daughter. She could not be a princess and was even banished to the cold palace. To be able to make her so beautiful, was her biological father a god or a demon? She wanted to find her father! However, why was it possible that every handsome man she met was her half-brother? He might as well turn them all around and slowly investigate them. What? You want to go back after entering my courtyard? No way. Who told this lady to be a fox, who loved to collect beautiful men. Wife looking for him? Give me the money! No money? Then, he would exchange a handsome man for a handsome man. Cough! Cough! Everyone was in human form now, so they shouldn't… Lin Jiacheng's Saltless Enchantment was recommended to use his eloquent tongue to seek a place and use his political tactics to lead the Warring States Period. 8. "Blood Wizard Era" "Report, Ning Yi's cultivation method is strange and dark, he's a villain!" A highly respected Jianghu elder: "Nonsense. Little Ning's cultivation method is upright and full of Taoist Connotation. It's just that you're inexperienced and can't see it." …… 9. Fox in the Red Dust She was a vixen who had come to this world. This world had its own rules, and there were countless people who manipulated these rules. Let's see how a beautiful vixen can maintain a clear and happy heart and a free body in this world. These works all have good reputations for your reference.