<div class="text-justify">

![capa.png](https://files.peakd.com/file/peakd-hive/elderdark/23xAq6feiTgsRG89cRF9CjnxYgWBf1cp8Doc1Q6h3Si2xuX44uSKDyrfhnYX7q8mSuLGs.png)


Every game of the **card game** genre has what is called a **Mana Curve**, which is the optimization of the player's deck by mana. In many games of this style it is necessary for the player to build their deck with a limited number of cards.




However, in @splinterlands the player has the freedom to build his deck with all possible cards, the limitation is only financial 😅. The limiting factor is the Rulesets that can often limit the use of certain cards in battle.




Splinterlands has several rules that can limit the use of certain cards, a good example are the rules: **Odd Ones out** and **Even Stevens**, where the player can only use odd or even mana cards.

![ruleset.png](https://images.hive.blog/300x300/https://files.peakd.com/file/peakd-hive/elderdark/243WP9FHZeQMCtY5C2apVTZx7vCTFbXcKRw6bHSwjmyxeExBmF678Jii3Z7ubMRumvX35.png)

Using the site [Inteleria](https://www.inteleria.com/splinterlands-index/) and with the help of excel it is possible to obtain the number of cards sorted by mana. In all there are 489 monster cards, excluding the Summoners, in the table and graph below you can see the number of cards per mana.


It is possible to observe that there is a graphic pattern well known in the area of probability, the normal distribution (Glaussian). In reality this is precisely the Splinterlands mana curve.


 https://images.hive.blog/DQmcmg7edafuDvve1X8nnnK2RStxYzD4WDBGtKee4fbFJHW/image.png 


The cards between [2] to [9] mana is the dominant region, where there are more cards available, precisely because these cards are the most used. The cards with low and high mana are less used, than those in the central region.


![mana.png](https://files.peakd.com/file/peakd-hive/elderdark/48HBdcjThap7r8vfH8z3mpaPrmYVXkEb5tJRnfHuqQhnRYeVBc1B7reJwavDkA6u6E.png)<center>Source: **made in excel**</center>

Zero mana cards are generally used in low mana matches or when there are slots left over. Mostly used as discard cards. Among these cards, the most used is **Furios Chicken**, using the tool [SplinterStats](https://kiokizz.github.io/Splinterlands/battles.html) you can see that the usability of this card in Gold League, Wild mode (my current League) is 17%, the other cards have usability between 2 to 6%.


![0 mana.png](https://files.peakd.com/file/peakd-hive/elderdark/Eoc5eC9ZiX7TqrCrB1DjWf5H6ZJ9ahYPgcyp2Gp7NnhDPesMGAAPtkFRVwQK7tw93K6.png)

On the other hand, very high mana cards like **Chaos Dragon**, **Agor Longtail** and **Runemancer Florre** have little usability, according to [SplinterStats](https://kiokizz.github.io/Splinterlands/battles.html) they have 2.38%, 6.35% and 1.07% respectively. Despite being powerful cards, they have little usability, because they will be used in battles with enough mana available (99), and they do not always happen.


![high mana.png](https://images.hive.blog/350x350/https://files.peakd.com/file/peakd-hive/elderdark/23u5y1hDC2p5fjdR1LDoXXSWh85ucodLaVb4PXfJ2vV8KdZffvFtDVsFsS2ZaHeq7Emdx.png)

The purpose of this post is to show that the player can optimize his deck using the **Mana Curve** theory, because every deck needs to have low and high mana cards, concentrating mainly on cards of average mana between [2] to [9], according to the mana curve chart for Splinterlands.


And using the tool [SplinterStats](https://kiokizz.github.io/Splinterlands/battles.html) the player can filter the most used cards, in the league he intends to play. This applies to players who buy and/or rent cards. For, it is important to optimize the resources spent in the game, since Splinterlands is an investment.


Using [SplinterStats](https://kiokizz.github.io/Splinterlands/battles.html) we choose the Format and League, in this post we only mark the monster cards, which was our focus. Right below, the tool shows the usability of each card and the Win Rate.

![image.png](https://files.peakd.com/file/peakd-hive/elderdark/Enz3wpJzVcm9rd2xxVVxNfdWCEMDveCLPaJtBL4kfTNA9NrwdhhQh19MGEtfpZBGFee.png)

<center>![image.png](https://files.peakd.com/file/peakd-hive/elderdark/48HDMvYs1WrRXZrgWchSYA9w6TsQACdXN2vB5MUqcufGgW8HnBqb6knReikWAvMgT3.png)</center>

With this information, it is possible for the player to build his collection in an optimized way without wasting financial resources on cards that will be little used. We can also use this tool to select the most used Summoners.

![image.png](https://files.peakd.com/file/peakd-hive/elderdark/Eo6SAA89gxoVdWdM9JZfeVTc9MagRQ2WaBG8kxDbShNamGzu2ppfkoHqXdcxQm32jwz.png)

With this information, it is possible for the player to build his collection in an optimized way without wasting financial resources on cards that will be little used. We can also use this tool to select the most used Summoners.


![image.png](https://files.peakd.com/file/peakd-hive/elderdark/23tSsfnnRMZRcT4wZoWxNagxPZXRA8cxQWUCZRB3RAaW7qH4imNrTPv6We5fJnwyhj1AU.png)

Using @peakmonsters we can create a collection with these Monster and Summoner cards for the Modern/League Gold Format. Currently, the price to buy these cards, at max level for Gold League, is $1807. Seasonal rentals, on the other hand, are costing 1124 DEC/per day.


**Click on the Image for a Deck Lookup (Most Used League Gold)**

[![image.png](https://files.peakd.com/file/peakd-hive/elderdark/23tGVqXoSxGgKNhWrF4ySjT1pAEpNAtKQh5A71aQiDWVsgoKULaV4C3J7pNeu4mJ6KPXK.png)](https://peakmonsters.com/decks?deck=86a3b977-16cb-41c0-99d5-cc90b5d5196e)

Next we check if the mana curve of our deck is satisfactory. In my opinion, following this mathematical model, I would add some more mana cards [5] and [6] to fill the gap in the dominance regio
 
![deck curve mana.png](https://files.peakd.com/file/peakd-hive/elderdark/48Hfg4o2Xo5Ens1M7aAkedGm4ELUZUQx4k1T6vGmcUDmMDo7qLjXVNLYdXKAxVKuDi.png)<center>Source: **Made in excel**</center>

# Conclusion


In today's post, we used some tools in building a collection of monster and summoner cards, which are widely used in the Gold league, in Modern format. Using for this the concept of **Mana Curve**, existing in every Card Game genre and together we use the site [SplinterStats](https://kiokizz.github.io/Splinterlands/battles.html) to select the cards most used in battles, then we use this data in excel to filter also the cards with the best Win Rate. This way, it is possible to optimize the investment with cards most used in battles by the player.






 https://images.hive.blog/DQmbG68xvQesEaxgN26nZL8zYs79EuALsawz8g2xFMfHK17/image.png 


# [PT]

![capa.png](https://files.peakd.com/file/peakd-hive/elderdark/23xAq6feiTgsRG89cRF9CjnxYgWBf1cp8Doc1Q6h3Si2xuX44uSKDyrfhnYX7q8mSuLGs.png)


Todo jogo do gênero **card game** possui o que é chamado de **Curva de Mana**, que é a otimização do baralho do jogador por mana. Em vários jogos desse estilo é necessário que o jogador monte seu baralho com um número limitado de cartas.


Porém, em @splinterlands o jogador tem a liberdade de montar o seu baralho com todas as cartas possíveis, a limitação é apenas financeira 😅. O fator limitante são os Rulesets que muitas das vezes podem limitar o uso de certas cartas, na batalha.


Splinterlands possui várias regras que podem limitar a utilização de certas cartas, um bom exemplo são as regras: **Odd Ones out** e **Even Stevens**, onde o jogador só pode utilizar cartas de mana impar ou par.

![ruleset.png](https://images.hive.blog/300x300/https://files.peakd.com/file/peakd-hive/elderdark/243WP9FHZeQMCtY5C2apVTZx7vCTFbXcKRw6bHSwjmyxeExBmF678Jii3Z7ubMRumvX35.png)

Utilizando o site [Inteleria](https://www.inteleria.com/splinterlands-index/) e com auxilio do excel é possível obter o número de cartas classificadas por mana. Ao todo existem 489 cartas de monstros, excluíndo os Invocadores, na tabela e gráfico abaixo é possível ver a quantidade de cartas por mana.

É possível observar que existe um padrão gráfico bastante conhecido na área de probabilidade, a distribuição normal (Glaussiana). Na realidade isto é justamente a curva de mana de Splinterlands.


 https://images.hive.blog/DQmcmg7edafuDvve1X8nnnK2RStxYzD4WDBGtKee4fbFJHW/image.png 


As cartas entre [2] a [9] de mana é a região dominante, onde há mais cartas disponíveis, justamente porque essas cartas são as mais utilizadas. As cartas com baixa e alta mana são menos utilizadas, que as da região central. 


![mana.png](https://files.peakd.com/file/peakd-hive/elderdark/48HBdcjThap7r8vfH8z3mpaPrmYVXkEb5tJRnfHuqQhnRYeVBc1B7reJwavDkA6u6E.png)<center>Fonte: **Feito no excel**</center>

As cartas de [0] mana são utilizadas, geralmente, em partidas com baixa mana ou quando há slots sobrando. Utilizadas na maioria das vezes como cartas de descarte. Dentre estas cartas, a mais utilizada é **Furios Chicken**, utilizando a ferramenta [SplinterStats](https://kiokizz.github.io/Splinterlands/battles.html) é possível consulta que a usabilidade desta carta na Liga Gold, modo Wild (minha Liga atual) é de 17%, as demais cartas tem usabilidade entre 2 a 6%.


![0 mana.png](https://files.peakd.com/file/peakd-hive/elderdark/Eoc5eC9ZiX7TqrCrB1DjWf5H6ZJ9ahYPgcyp2Gp7NnhDPesMGAAPtkFRVwQK7tw93K6.png)

Por outro lado, cartas de altíssima mana como **Chaos Dragon**, **Agor Longtail** e **Runemancer Florre** possuem pouca usabilidade, segundo o [SplinterStats](https://kiokizz.github.io/Splinterlands/battles.html) elas possuem respectivamente, 2.38%, 6.35% e 1.07%. Apesar de serem cartas poderosas tem pouca usabilidade, pois serão utilizados em batalhas com bastante mana disponível (99), e nem sempre elas acontecem.


![high mana.png](https://images.hive.blog/350x350/https://files.peakd.com/file/peakd-hive/elderdark/23u5y1hDC2p5fjdR1LDoXXSWh85ucodLaVb4PXfJ2vV8KdZffvFtDVsFsS2ZaHeq7Emdx.png)

O objetivo desse post é mostrar que o jogador pode otimizar seu baralho utilizando a teoria da **Curva de Mana**, pois todo baralho precisa ter cartas de baixa e alta mana, concentrando principalmente em cartas de mana média entre [2] a [9], segundo o gráfico de curva de mana para Splinterlands.

E utilizando a ferramenta [SplinterStats](https://kiokizz.github.io/Splinterlands/battles.html) o jogador pode filtrar as cartas mais utilizadas, na liga que pretendente jogar. Isto vale para os jogadores que compram e/ou alugam cartas. Pois, é importante otimizar os recursos gastos no jogo, uma vez que Splinterlands é um investimento.

utilizando o [SplinterStats](https://kiokizz.github.io/Splinterlands/battles.html) escolhemos o Formato e a Liga, nesse post só marcamos as cartas de monstros, que foi o nosso foco. Logo abaixo, a ferramenta mostra a usabilidade de cada carta e o Win Rate.

![image.png](https://files.peakd.com/file/peakd-hive/elderdark/Enz3wpJzVcm9rd2xxVVxNfdWCEMDveCLPaJtBL4kfTNA9NrwdhhQh19MGEtfpZBGFee.png)

<center>![image.png](https://files.peakd.com/file/peakd-hive/elderdark/48HDMvYs1WrRXZrgWchSYA9w6TsQACdXN2vB5MUqcufGgW8HnBqb6knReikWAvMgT3.png)</center>

Partindo desta informação, é possível que  jogador consigar montar sua coleção de forma otimizida sem disperdiçar recursos financeiros em cartas que serão pouco utilizadas. Também podemos utilizar esta ferramenta para selecionar os Invocadores mais utilizados. 

![image.png](https://files.peakd.com/file/peakd-hive/elderdark/Eo6SAA89gxoVdWdM9JZfeVTc9MagRQ2WaBG8kxDbShNamGzu2ppfkoHqXdcxQm32jwz.png)

Utilizando o excel e extraindo a tabela do site **SplinterStats**, com os filtros para **Formato Modern** e Liga **Gold**. Eu peguei os monstros com usabilidade superior a 4% e Win rate superior a 40%, utilizando o filtro do excel. A seguir apresento a lista das 73 melhores cartas, seguindo os requesitos citados: 


![image.png](https://files.peakd.com/file/peakd-hive/elderdark/23tSsfnnRMZRcT4wZoWxNagxPZXRA8cxQWUCZRB3RAaW7qH4imNrTPv6We5fJnwyhj1AU.png)

Utilizando o @peakmonsters podemos criar uma coleção com essa cartas de Monstros e Invocadores para o Formato Modern/Liga Gold. Atualmente, o valor para comprar essas cartas, em nível máximo para Liga Gold, está em $1807. Já o aluguel por temporada está custando 1124 DEC/por dia.

**Clique na Imagem para Consulta o Deck (Most Used League Gold)**

[![image.png](https://files.peakd.com/file/peakd-hive/elderdark/23tGVqXoSxGgKNhWrF4ySjT1pAEpNAtKQh5A71aQiDWVsgoKULaV4C3J7pNeu4mJ6KPXK.png)](https://peakmonsters.com/decks?deck=86a3b977-16cb-41c0-99d5-cc90b5d5196e)

A seguir verificamos se a curva de mana do nosso deck é satisfatória. Na minha opinão seguindo esse modelo matemático, acrescentaria mais algumas cartas de mana [5] e [6] para preencher a lacuna existente na região de dominância.
 
![deck curve mana.png](https://files.peakd.com/file/peakd-hive/elderdark/48Hfg4o2Xo5Ens1M7aAkedGm4ELUZUQx4k1T6vGmcUDmMDo7qLjXVNLYdXKAxVKuDi.png)<center>Fonte: **Feito no excel**</center>

# Concluindo

No post de hoje, utilizamos algumas ferramentas na construção de uma coleção de cartas de monstros e invocadores, que são bastante utilizados na liga Gold, no formato Modern. Utilizando para isto o conceito de **Curva de mana**, existente em todo jogo do gênero Card Game e em conjunto utilizamos o site [SplinterStats](https://kiokizz.github.io/Splinterlands/battles.html) para selecionar as cartas mais usadas em batalhas, depois utilizamos esses dados no excel para filtrar também as cartas com o melhor Win Rate. Dessa forma, é possível otimizar o investimento com as cartas mais utilizadas em batalhas pelo jogador.


![line diviser.gif](https://files.peakd.com/file/peakd-hive/elderdark/23tRsvYQFXpAV5tYXz7Aixo86heWjaW1mYLREygo9KDgTJfKphSwnAYP8beR9piPKqj1o.gif)



___

Imagens: @splinterlands 

[![image.png](https://files.peakd.com/file/peakd-hive/elderdark/23tw426MWpq8fAr4TjRAatv8RwXWtzcP357eShoipfuxkE1BHsWcWEbp8254ifYYmqBjS.png)](https://discord.gg/zYcJfq7tdQ)

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