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Can you play 2 Chandra with 4 Oath of Nissa?

frankkarsten Jun 13th, 2016 645 Never
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1. /*
2.  * To change this template, choose Tools | Templates
3.  * and open the template in the editor.
4.  */
5. package levychandra;
6.
7. import java.util.Arrays.*;
8. import java.util.Random;
9.
10. public class LevyChandra {
11.
12.     public static void main(String[] args) {
13.
14.         Deck deck=new Deck();
15.
16.         //CardType 1 is an Oath of Nissa
17.         //CardType 2 is a Chandra
18.         //CardType 3 is a land
19.         //CardType 4 is another non-land card
20.
21.         deck.SetDeck(4,2,25,29);
22.         double Probability=Probability=ProbabilityForRandomHand(deck,7,10000000);
23.         System.out.println("Castable Chandra probability:"+Math.round(Probability*10000)/100.0);
24.
25.     }//end of main
26.
27.     public static double ProbabilityForRandomHand(Deck deck, int StartingCards, int NumberOfIterations){
28.         //ProbabilityType T: Probability that a Shadow land on turn T would enter the battlefield untapped (outcome: 0=tapped, 1=untapped)
29.
30.         Deck remainingdeck=new Deck();
31.         int NumberOfCastableChandra=0;
32.         int NumberOfRelevantGames=0;
33.         for (int IterationCounter=1; IterationCounter<=NumberOfIterations; IterationCounter++){
34.             OpeningHand openinghand=GiveOpeningHandAfterMulls(deck, StartingCards);
35.             remainingdeck.SetDeck(deck.NumberOfOath-openinghand.NumberOfOath,deck.NumberOfChandra-openinghand.NumberOfChandra,deck.NumberOfLands-openinghand.NumberOfLands,deck.NumberOfOther-openinghand.NumberOfOther);
36.             int Outcome=SimulateGame(remainingdeck,openinghand);
37.             if (Outcome==2) {NumberOfCastableChandra++; NumberOfRelevantGames++;}
38.             if (Outcome==1) {NumberOfRelevantGames++;}
39.         }
40.         return NumberOfCastableChandra/(NumberOfRelevantGames+0.0);
41.     }
42.
43.     static OpeningHand GiveOpeningHandAfterMulls (Deck deck, int StartingCards) {
44.
45.         Deck remainingdeck=new Deck();
46.         OpeningHand openinghand=new OpeningHand();
47.         int TypeOfCardDrawn;
48.         boolean KeepHand=false;
49.
50.         for (int OpeningHandSize=7; OpeningHandSize>=1; OpeningHandSize--){
51.             if (KeepHand==false){
52.                 openinghand.SetHand(0,0,0,0);
53.                 remainingdeck.SetDeck(deck.NumberOfOath,deck.NumberOfChandra,deck.NumberOfLands,deck.NumberOfOther);
54.                 for (int CardsDrawn=0; CardsDrawn<OpeningHandSize; CardsDrawn++){
55.                     TypeOfCardDrawn=remainingdeck.DrawCard();
56.                     if (TypeOfCardDrawn==1) {openinghand.NumberOfOath++;}
57.                     if (TypeOfCardDrawn==2) {openinghand.NumberOfChandra++;}
58.                     if (TypeOfCardDrawn==3) {openinghand.NumberOfLands++;}
59.                     if (TypeOfCardDrawn==4) {openinghand.NumberOfOther++;}
60.                 }
61.                 KeepHand=true;
62.                 if (OpeningHandSize>1) {
63.                     // We mulligan a hand if it contains 0, 1, 6, or 7 lands
64.                     if (openinghand.NumberOfLands<=1 || openinghand.NumberOfLands>=6) {KeepHand=false;}
65.                     if (OpeningHandSize==7 && openinghand.NumberOfLands==2 && openinghand.NumberOfChandra>=1 && openinghand.NumberOfOath==0) {KeepHand=false;}
66.                 }
67.             }
68.         }
69.
70.         return openinghand;
71.     }//end of GiveOpeningHandAfterMulls
72.
73.
74.     static int SimulateGame(Deck remainingdeck, OpeningHand openinghand) {
75.
76.         int TypeOfCardDrawn;
77.
78.         int LandsInHand=openinghand.NumberOfLands;
79.         int ChandrasInHand=openinghand.NumberOfChandra;
80.         int OathsInHand=openinghand.NumberOfOath;
81.         int LandsInPlay=0;
82.         boolean OathInPlay=false;
83.         boolean ChandraPlayed=false;
84.         boolean ChandraFailure=false;
85.
86.         for (int Turn=1; Turn<=10; Turn++){
87.
88.             //We only go through the turn if we hadn't had the ability to cast a 6-drop yet
89.             if (ChandraPlayed==false && ChandraFailure==false){
90.
91.                 if (Turn>1) {
92.                     TypeOfCardDrawn=remainingdeck.DrawCard();
93.                     if (TypeOfCardDrawn==1) {OathsInHand++;}
94.                     if (TypeOfCardDrawn==2) {ChandrasInHand++;}
95.                     if (TypeOfCardDrawn==3) {LandsInHand++;}
96.                 }
97.                 boolean LandPlayed=false;
98.
99.
100.                 //1. If we can play a  land, we do so.
101.                 if (LandsInHand>=1) {
102.                     LandsInHand--;
103.                     LandsInPlay++;
104.                     LandPlayed=true;
105.                 }
106.
107.                 //2. If we can play a Chandra, we do so.
108.                 if (ChandrasInHand>=1 && LandsInPlay>=6 && OathInPlay==true) {
109.                     ChandrasInHand--;
110.                     ChandraPlayed=true;
111.                 }
112.
113.                 //3. If we cannot cast Chandra, then that is an issue
114.                 if (ChandrasInHand>=1 && LandsInPlay>=6 && OathInPlay==false) {
115.                     ChandraFailure=true;
116.                 }
117.
118.                 //4. If we can cast Oath of Nissa, we do so. (Only one per turn in this implementation, but that shouldn't matter.)
119.                 if (OathsInHand>=1 && LandsInPlay>=1) {
120.                     boolean LandAvailable=false;
121.                     boolean ChandraTaken=false;
122.                     OathsInHand--;
123.                     for (int CardsSeen=1; CardsSeen<=3; CardsSeen++){
124.                         TypeOfCardDrawn=remainingdeck.DrawCard();
125.                         if (TypeOfCardDrawn==2) {ChandrasInHand++; ChandraTaken=true;} //Might get 2 Chandra in hand this way, but that doesn't matter
126.                         if (TypeOfCardDrawn==3) {LandAvailable=true;}
127.                     }
128.                     if (ChandraTaken==false && LandAvailable==true) {LandsInHand++;}
129.                     OathInPlay=true;
130.                 }
131.
132.                 //5. If we can make our land drop via Oath, we do so
133.                 if (LandsInHand>=1 && LandPlayed==false) {
134.                     LandsInHand--;
135.                     LandsInPlay++;
136.                     LandPlayed=true;
137.                 }
138.
139.
140.                 //6. If we can cast Chandra via Oath this turn, for which we need 7 lands total, we do so
141.                 if (ChandrasInHand>=1 && LandsInPlay>=7 && OathInPlay==true) {
142.                     ChandrasInHand--;
143.                     ChandraPlayed=true;
144.                 }
145.
146.             }
147.         }//end of the for-loop over the turns
148.
149.         int Outcome=0;
150.         if (ChandraPlayed) {Outcome=2;}
151.         if (ChandraFailure) {Outcome=1;}
152.
153.         return Outcome;
154.
155.     }//end of SimulateGame
156.
157.
158. }
159.
160. class OpeningHand {
161.     int NumberOfOath;
162.     int NumberOfChandra;
163.     int NumberOfLands;
164.     int NumberOfOther;
165.
166.     int NrOfCards(){
167.         return NumberOfOath+NumberOfChandra+NumberOfLands+NumberOfOther;
168.     }
169.
170.     void SetHand (int Nr1, int Nr2, int Nr3, int Nr4) {
171.         NumberOfOath=Nr1;
172.         NumberOfChandra=Nr2;
173.         NumberOfLands=Nr3;
174.         NumberOfOther=Nr4;
175.     }
176.
177. }//end of OpeningHand
178.
179. class Deck {
180.     int NumberOfOath;
181.     int NumberOfChandra;
182.     int NumberOfLands;
183.     int NumberOfOther;
184.
185.     void SetDeck (int Nr1, int Nr2, int Nr3, int Nr4) {
186.         NumberOfOath=Nr1;
187.         NumberOfChandra=Nr2;
188.         NumberOfLands=Nr3;
189.         NumberOfOther=Nr4;
190.     }
191.
192.     int NrOfCards(){
193.         return NumberOfOath+NumberOfChandra+NumberOfLands+NumberOfOther;
194.     }
195.
196.     int DrawCard (){
197.         Random generator = new Random();
198.         int CardType=0;
199.         int RandomIntegerBetweenOneAndDeckSize=generator.nextInt( this.NrOfCards() )+1;
200.         int OneCutoff=NumberOfOath;
201.         int TwoCutoff=OneCutoff+NumberOfChandra;
202.         int ThreeCutoff=TwoCutoff+NumberOfLands;
203.         int FourCutoff=ThreeCutoff+NumberOfOther;
204.
205.         if (RandomIntegerBetweenOneAndDeckSize<=OneCutoff) {CardType=1; this.NumberOfOath--;}
206.         if (RandomIntegerBetweenOneAndDeckSize>OneCutoff && RandomIntegerBetweenOneAndDeckSize<=TwoCutoff) {CardType=2; this.NumberOfChandra--;}
207.         if (RandomIntegerBetweenOneAndDeckSize>TwoCutoff && RandomIntegerBetweenOneAndDeckSize<=ThreeCutoff) {CardType=3; this.NumberOfLands--;}
208.         if (RandomIntegerBetweenOneAndDeckSize>ThreeCutoff && RandomIntegerBetweenOneAndDeckSize<=FourCutoff) {CardType=4; this.NumberOfOther--;}
209.         return CardType;
210.     }
211.
212. }//end of Deck
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