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[遊戲連結] Dragon Born (Big Time Gaming)
滾輪大小:7x6
連線方式:MegaWay
遊戲開發商:Big Time Gaming
遊戲特色:百搭滾輪、倍數百搭
這次挑選的遊戲在MegaWay裡面算是比較基本的,除了滾輪大小隨機之外,只有百搭滾輪一種特色。計算上算是單純很多。
這款遊戲在內容上只有主遊戲跟免費遊戲各一,但卻各自設計了4張滾輪表來呈現不同的特色盤面,筆者也保留了這些設計在這次的模型裡面。雖然有8張表,但其實搞懂一個表的算法就可以搞懂其他表了。
以主遊戲4張表來說,第1張表只有23輪會出百搭滾輪,第2張表只有45滾輪會出百搭滾輪,第3張表只有36滾輪會出百搭滾輪,第4張表則是都不會出百搭滾輪,但滾輪長度全部都是7。透過這些滾輪表的組合,可以讓主遊戲看的到每一種特色盤面。
4張表算完之後再根據出現的比例去做加權,就可以得到整個免費遊戲的期望值了。
接著回到主遊戲,因為主遊戲滾輪上會隨機出現2~7個圖標,因此必須針對每種滾輪大小去計算W1/X1這些圖標的數量,接著再根據滾輪大小出現的比例去做加權,就可以得到未出百搭滾輪的情況下,每一滾輪平均會有幾個圖標。
接著再把出現百搭滾輪及倍數的情況考慮進來,再重新對每一滾輪去做加權,就可以得到每一滾輪特定圖標的平均出現次數。這兩個步驟算是這款模型裡面最複雜的地方,讀者一定要多花點時間弄清楚。
得到圖標平均個數之後就套進一般WayGame的算法求出期望值,4張表都算好之後,再根據4張表出現的權重對主遊戲RTP進行加權,得到最後主遊戲的期望值。
注意:試算表中使用滾輪未必為遊戲真實滾輪。
模型教學10 - MegaWay+百搭滾輪 Dragon Born (Big Time Gaming)
[GameLink] Dragon Born (Big Time Gaming)
ReelSize: 7x6
Paylines: MegaWay
Provider: BigTimeGaming
Features: WildReel, WildMultiplier
The game selected is relatively basic in MegaWay. In addition to the random size of the reel, there is only one feature of the wild reel. The calculation is much simpler.
This game only has one base game and one free game, but each has designed 4 reel strips to present different characteristics of the board. I also kept these designs in this model. Although there are 8 tables, you can understand the other tables by understanding the algorithm of one table.
Taking the 4 tables in base game as an example, the first table has only reel 2 and reel 3 with wild reels, the second table has only reel 4 and reel 5 with wild reels, the third table has only reel 3 and reel 6 with wild reels, and the fourth table, there will be no wild reels, but the reels are all 7 symbols height. Through the combination of these reels, you can see every characteristic board in the base game.
After the 4 tables are calculated, weighting is performed according to the frequency, and the expected payout of the entire free game can be obtained.
Then consider the occurrence of wild reels and multiples, and then re-weight each reel to obtain the average number of appearances of a specific symbol on each reel. These two steps are considered to be the most complicated part of this model, readers must spend more time to figure it out. After the average number of symbols is obtained, it is inserted into the general way game algorithm to obtain the expected payout. After the four tables are calculated, the base game RTP is weighted according to the weights of the four tables.
Note: The reel strips used in the par sheet may not be the real strips of the game.
Parsheet_10 - Dragon Born (Big Time Gaming)
ReelSize: 7x6
Paylines: MegaWay
Provider: BigTimeGaming
Features: WildReel, WildMultiplier
Game Instructions
The model to be taught is called MegaWay. The feature of this type is that the size of the reel is different for each spin. For this game, 2~7 symbols will appear randomly on each reel, so the connection combo can be from 2^6=64 to 7. ^6=117649 species.The game selected is relatively basic in MegaWay. In addition to the random size of the reel, there is only one feature of the wild reel. The calculation is much simpler.
This game only has one base game and one free game, but each has designed 4 reel strips to present different characteristics of the board. I also kept these designs in this model. Although there are 8 tables, you can understand the other tables by understanding the algorithm of one table.
Taking the 4 tables in base game as an example, the first table has only reel 2 and reel 3 with wild reels, the second table has only reel 4 and reel 5 with wild reels, the third table has only reel 3 and reel 6 with wild reels, and the fourth table, there will be no wild reels, but the reels are all 7 symbols height. Through the combination of these reels, you can see every characteristic board in the base game.
Model Descriptions
Free Game
Because free games is relatively simple, let's start with free game. The reel size in free game is always 7*6, and there will be no wild reel, just use the general way game algorithm to get the expected payout of a reel strip table.After the 4 tables are calculated, weighting is performed according to the frequency, and the expected payout of the entire free game can be obtained.
Base Game
Then back to base game, because 2~7 symbols will appear randomly in base game, so the number of W1/X1 symbols must be calculated for each reel size, and then weighted according to the proportion of the reel size. Then you can get each reel will have how many symbols on average.Then consider the occurrence of wild reels and multiples, and then re-weight each reel to obtain the average number of appearances of a specific symbol on each reel. These two steps are considered to be the most complicated part of this model, readers must spend more time to figure it out. After the average number of symbols is obtained, it is inserted into the general way game algorithm to obtain the expected payout. After the four tables are calculated, the base game RTP is weighted according to the weights of the four tables.
Simulation Result
File Download
Here is the par sheet of this game, if you are interested, you can download the par sheet file for research.Note: The reel strips used in the par sheet may not be the real strips of the game.
Parsheet_10 - Dragon Born (Big Time Gaming)
[遊戲連結] Dragon Born (Big Time Gaming)
滾輪大小:7x6
連線方式:MegaWay
遊戲開發商:Big Time Gaming
遊戲特色:百搭滾輪、倍數百搭
模型說明
這次要教學的模型,算是一種類型,叫做MegaWay。這種類型的特色,是每一局遊戲的滾輪大小都不同,以這一款來說,每一滾輪會隨機出現2~7個圖標,所以連線方式可以從2^6=64種到7^6=117649種,有很大的想像空間。這次挑選的遊戲在MegaWay裡面算是比較基本的,除了滾輪大小隨機之外,只有百搭滾輪一種特色。計算上算是單純很多。
這款遊戲在內容上只有主遊戲跟免費遊戲各一,但卻各自設計了4張滾輪表來呈現不同的特色盤面,筆者也保留了這些設計在這次的模型裡面。雖然有8張表,但其實搞懂一個表的算法就可以搞懂其他表了。
以主遊戲4張表來說,第1張表只有23輪會出百搭滾輪,第2張表只有45滾輪會出百搭滾輪,第3張表只有36滾輪會出百搭滾輪,第4張表則是都不會出百搭滾輪,但滾輪長度全部都是7。透過這些滾輪表的組合,可以讓主遊戲看的到每一種特色盤面。
符號解釋
因為免費遊戲的玩法比較單純,所以先從免費遊戲開始看。免費遊戲中的滾輪大小固定都是7*6,並且不會出現百搭滾輪,就用一般WayGame的算法就可以得到一個滾輪表的期望值了。4張表算完之後再根據出現的比例去做加權,就可以得到整個免費遊戲的期望值了。
接著回到主遊戲,因為主遊戲滾輪上會隨機出現2~7個圖標,因此必須針對每種滾輪大小去計算W1/X1這些圖標的數量,接著再根據滾輪大小出現的比例去做加權,就可以得到未出百搭滾輪的情況下,每一滾輪平均會有幾個圖標。
接著再把出現百搭滾輪及倍數的情況考慮進來,再重新對每一滾輪去做加權,就可以得到每一滾輪特定圖標的平均出現次數。這兩個步驟算是這款模型裡面最複雜的地方,讀者一定要多花點時間弄清楚。
得到圖標平均個數之後就套進一般WayGame的算法求出期望值,4張表都算好之後,再根據4張表出現的權重對主遊戲RTP進行加權,得到最後主遊戲的期望值。
模擬結果
檔案下載
以上就是這一款遊戲的模型教學,有興趣的可以自行下載試算表研究注意:試算表中使用滾輪未必為遊戲真實滾輪。
模型教學10 - MegaWay+百搭滾輪 Dragon Born (Big Time Gaming)
留言
你好,请问basegame的wild的成倍这部分是怎么理解,看parsheet是反应到元素的出现次数上的吗?
回覆刪除因為我們要計算的是連線數量,X2百搭會貢獻兩次的連線機會,所以連線數量+2
刪除