Settlers of Catan

The objective of this code is to simulate different strategies in the game Settlers of Catan. The best way Catan can be described is as a “game of resources”. An individual begins with two settlements on the board and obtains resources if the number associated with the resource is rolled on any turn. To win, a player must obtain 10 points before any other player.

There are several methods to obtain the most points. I aim to determine which strategy may obtain the 10 points the quickest. Each player essentially starts off with 2 settlements/2points, so really, each player only needs to obtain 8 more points.

How to get points: -1 settlement = 1 point (can only have 5 settlements maximum) -1 city = 2 points (can only make a city if there is an existing settlement in place, can only have 4 cities maximum) -Longest Road = 2 points (need 6 consecutive roads and most roads to obtain this card, can only have 15 roads maximum) -Largest Army = 2 points (need 3 or more knights from development cards) -Victory points = 1 point (from development cards)

The strategies I will be simulating will be the following: Strategy 1: Settlements and Cities only Strategy 2: Settlements + Longest Road Strategy 3: Settlements + Largest Army Strategy 4: Longest Road + Largest Army + Development Cards

Rolling Dice

This function simulates two dice rolls. Every player rolls two dice every turn.

roll_dice <- function(k){
  all_rolls <- sample(c(1:6),k, replace=TRUE)
final_answer <- sum(all_rolls)
return(final_answer)
}

roll_dice(2)
## [1] 10
rolls <- replicate(100, roll_dice(2))
table(rolls)
## rolls
##  2  3  4  5  6  7  8  9 10 11 12 
##  1  2  9 13 14 13 20 12  8  3  5

Different Combinations of Places to Put Settlements

In the game, each settlment is placed on the corner of a hexagon. Each hexagon has an associated number and resource which are randomly generated. If any player rolls a number and an individual has a settlement on it, the individual collects the resource the settlement is on.

For example, if I have a settlement on a corner that has a 5 on wood and a 5 is rolled, I would collect 1 wood. If I have a city there, I would collect 2 woods.

Every number from 3 to 11 is on the board twice (except for 7), and 2 and 12 are listed once. We will not be playing with 7’s because there is a special rule with 7’s. We will not be implementing that rule into our simulation as it levels an added level of complexity.

resource <- as.factor(c(rep("wood",4),rep("wheat",4),rep("sheep",4),rep("brick",3),rep("ore",3)))
numbs <- c(2,rep(3:6,2),rep(8:11,2),12)

combos <- expand.grid(resource, numbs)

names(combos)[names(combos) == "Var1"] <- "resource"
names(combos)[names(combos) == "Var2"] <- "numbers"

Players Starting Point

This will be the first two settlements we put on the board. So, any time a 9 is rolled, we will obtain a wheat and any time an 8 is rolled, we will obtain a sheep.

set.seed(123456)
p1 <- sample(nrow(combos), 2)
combos2 <- combos[-p1, ]
combos2
##     resource numbers
## 1       wood       2
## 2       wood       2
## 3       wood       2
## 4       wood       2
## 5      wheat       2
## 6      wheat       2
## 7      wheat       2
## 8      wheat       2
## 9      sheep       2
## 10     sheep       2
## 11     sheep       2
## 12     sheep       2
## 13     brick       2
## 14     brick       2
## 15     brick       2
## 16       ore       2
## 17       ore       2
## 18       ore       2
## 19      wood       3
## 20      wood       3
## 21      wood       3
## 22      wood       3
## 23     wheat       3
## 24     wheat       3
## 25     wheat       3
## 26     wheat       3
## 27     sheep       3
## 28     sheep       3
## 29     sheep       3
## 30     sheep       3
## 31     brick       3
## 32     brick       3
## 33     brick       3
## 34       ore       3
## 35       ore       3
## 36       ore       3
## 37      wood       4
## 38      wood       4
## 39      wood       4
## 40      wood       4
## 41     wheat       4
## 42     wheat       4
## 43     wheat       4
## 44     wheat       4
## 45     sheep       4
## 46     sheep       4
## 47     sheep       4
## 48     sheep       4
## 49     brick       4
## 50     brick       4
## 51     brick       4
## 52       ore       4
## 53       ore       4
## 54       ore       4
## 55      wood       5
## 56      wood       5
## 57      wood       5
## 58      wood       5
## 59     wheat       5
## 60     wheat       5
## 61     wheat       5
## 62     wheat       5
## 63     sheep       5
## 64     sheep       5
## 65     sheep       5
## 66     sheep       5
## 67     brick       5
## 68     brick       5
## 69     brick       5
## 70       ore       5
## 71       ore       5
## 72       ore       5
## 73      wood       6
## 74      wood       6
## 75      wood       6
## 76      wood       6
## 77     wheat       6
## 78     wheat       6
## 79     wheat       6
## 80     wheat       6
## 81     sheep       6
## 82     sheep       6
## 83     sheep       6
## 84     sheep       6
## 85     brick       6
## 86     brick       6
## 87     brick       6
## 88       ore       6
## 89       ore       6
## 90       ore       6
## 91      wood       3
## 92      wood       3
## 93      wood       3
## 94      wood       3
## 95     wheat       3
## 96     wheat       3
## 97     wheat       3
## 98     wheat       3
## 99     sheep       3
## 100    sheep       3
## 101    sheep       3
## 102    sheep       3
## 103    brick       3
## 104    brick       3
## 105    brick       3
## 106      ore       3
## 107      ore       3
## 108      ore       3
## 109     wood       4
## 110     wood       4
## 111     wood       4
## 112     wood       4
## 113    wheat       4
## 114    wheat       4
## 115    wheat       4
## 116    wheat       4
## 117    sheep       4
## 118    sheep       4
## 119    sheep       4
## 120    sheep       4
## 121    brick       4
## 122    brick       4
## 123    brick       4
## 124      ore       4
## 125      ore       4
## 126      ore       4
## 127     wood       5
## 128     wood       5
## 129     wood       5
## 130     wood       5
## 131    wheat       5
## 132    wheat       5
## 133    wheat       5
## 134    wheat       5
## 135    sheep       5
## 136    sheep       5
## 137    sheep       5
## 138    sheep       5
## 139    brick       5
## 140    brick       5
## 141    brick       5
## 142      ore       5
## 143      ore       5
## 144      ore       5
## 145     wood       6
## 146     wood       6
## 147     wood       6
## 148     wood       6
## 149    wheat       6
## 150    wheat       6
## 151    wheat       6
## 152    wheat       6
## 153    sheep       6
## 154    sheep       6
## 155    sheep       6
## 156    sheep       6
## 157    brick       6
## 158    brick       6
## 159    brick       6
## 160      ore       6
## 161      ore       6
## 162      ore       6
## 163     wood       8
## 164     wood       8
## 165     wood       8
## 166     wood       8
## 167    wheat       8
## 168    wheat       8
## 169    wheat       8
## 170    wheat       8
## 171    sheep       8
## 172    sheep       8
## 173    sheep       8
## 174    sheep       8
## 175    brick       8
## 176    brick       8
## 177    brick       8
## 178      ore       8
## 179      ore       8
## 180      ore       8
## 181     wood       9
## 182     wood       9
## 183     wood       9
## 184     wood       9
## 185    wheat       9
## 186    wheat       9
## 187    wheat       9
## 188    wheat       9
## 189    sheep       9
## 190    sheep       9
## 191    sheep       9
## 192    sheep       9
## 193    brick       9
## 194    brick       9
## 195    brick       9
## 196      ore       9
## 197      ore       9
## 198      ore       9
## 199     wood      10
## 200     wood      10
## 201     wood      10
## 202     wood      10
## 203    wheat      10
## 204    wheat      10
## 205    wheat      10
## 206    wheat      10
## 207    sheep      10
## 208    sheep      10
## 209    sheep      10
## 210    sheep      10
## 211    brick      10
## 212    brick      10
## 213    brick      10
## 214      ore      10
## 215      ore      10
## 216      ore      10
## 217     wood      11
## 218     wood      11
## 219     wood      11
## 220     wood      11
## 221    wheat      11
## 222    wheat      11
## 223    wheat      11
## 224    wheat      11
## 225    sheep      11
## 226    sheep      11
## 227    sheep      11
## 228    sheep      11
## 229    brick      11
## 230    brick      11
## 231    brick      11
## 232      ore      11
## 233      ore      11
## 234      ore      11
## 235     wood       8
## 236     wood       8
## 237     wood       8
## 238     wood       8
## 239    wheat       8
## 240    wheat       8
## 241    wheat       8
## 242    wheat       8
## 243    sheep       8
## 245    sheep       8
## 246    sheep       8
## 247    brick       8
## 248    brick       8
## 249    brick       8
## 250      ore       8
## 251      ore       8
## 252      ore       8
## 253     wood       9
## 254     wood       9
## 255     wood       9
## 256     wood       9
## 257    wheat       9
## 258    wheat       9
## 260    wheat       9
## 261    sheep       9
## 262    sheep       9
## 263    sheep       9
## 264    sheep       9
## 265    brick       9
## 266    brick       9
## 267    brick       9
## 268      ore       9
## 269      ore       9
## 270      ore       9
## 271     wood      10
## 272     wood      10
## 273     wood      10
## 274     wood      10
## 275    wheat      10
## 276    wheat      10
## 277    wheat      10
## 278    wheat      10
## 279    sheep      10
## 280    sheep      10
## 281    sheep      10
## 282    sheep      10
## 283    brick      10
## 284    brick      10
## 285    brick      10
## 286      ore      10
## 287      ore      10
## 288      ore      10
## 289     wood      11
## 290     wood      11
## 291     wood      11
## 292     wood      11
## 293    wheat      11
## 294    wheat      11
## 295    wheat      11
## 296    wheat      11
## 297    sheep      11
## 298    sheep      11
## 299    sheep      11
## 300    sheep      11
## 301    brick      11
## 302    brick      11
## 303    brick      11
## 304      ore      11
## 305      ore      11
## 306      ore      11
## 307     wood      12
## 308     wood      12
## 309     wood      12
## 310     wood      12
## 311    wheat      12
## 312    wheat      12
## 313    wheat      12
## 314    wheat      12
## 315    sheep      12
## 316    sheep      12
## 317    sheep      12
## 318    sheep      12
## 319    brick      12
## 320    brick      12
## 321    brick      12
## 322      ore      12
## 323      ore      12
## 324      ore      12
#Player 1 Starting Point
p1 <- combos[p1, ] 
p1
##     resource numbers
## 259    wheat       9
## 244    sheep       8

Other Players

set.seed(123456)
p2 <- sample(nrow(combos2), 2)
combos3 <- combos2[-p2, ]
combos3
##     resource numbers
## 1       wood       2
## 2       wood       2
## 3       wood       2
## 4       wood       2
## 5      wheat       2
## 6      wheat       2
## 7      wheat       2
## 8      wheat       2
## 9      sheep       2
## 10     sheep       2
## 11     sheep       2
## 12     sheep       2
## 13     brick       2
## 14     brick       2
## 15     brick       2
## 16       ore       2
## 17       ore       2
## 18       ore       2
## 19      wood       3
## 20      wood       3
## 21      wood       3
## 22      wood       3
## 23     wheat       3
## 24     wheat       3
## 25     wheat       3
## 26     wheat       3
## 27     sheep       3
## 28     sheep       3
## 29     sheep       3
## 30     sheep       3
## 31     brick       3
## 32     brick       3
## 33     brick       3
## 34       ore       3
## 35       ore       3
## 36       ore       3
## 37      wood       4
## 38      wood       4
## 39      wood       4
## 40      wood       4
## 41     wheat       4
## 42     wheat       4
## 43     wheat       4
## 44     wheat       4
## 45     sheep       4
## 46     sheep       4
## 47     sheep       4
## 48     sheep       4
## 49     brick       4
## 50     brick       4
## 51     brick       4
## 52       ore       4
## 53       ore       4
## 54       ore       4
## 55      wood       5
## 56      wood       5
## 57      wood       5
## 58      wood       5
## 59     wheat       5
## 60     wheat       5
## 61     wheat       5
## 62     wheat       5
## 63     sheep       5
## 64     sheep       5
## 65     sheep       5
## 66     sheep       5
## 67     brick       5
## 68     brick       5
## 69     brick       5
## 70       ore       5
## 71       ore       5
## 72       ore       5
## 73      wood       6
## 74      wood       6
## 75      wood       6
## 76      wood       6
## 77     wheat       6
## 78     wheat       6
## 79     wheat       6
## 80     wheat       6
## 81     sheep       6
## 82     sheep       6
## 83     sheep       6
## 84     sheep       6
## 85     brick       6
## 86     brick       6
## 87     brick       6
## 88       ore       6
## 89       ore       6
## 90       ore       6
## 91      wood       3
## 92      wood       3
## 93      wood       3
## 94      wood       3
## 95     wheat       3
## 96     wheat       3
## 97     wheat       3
## 98     wheat       3
## 99     sheep       3
## 100    sheep       3
## 101    sheep       3
## 102    sheep       3
## 103    brick       3
## 104    brick       3
## 105    brick       3
## 106      ore       3
## 107      ore       3
## 108      ore       3
## 109     wood       4
## 110     wood       4
## 111     wood       4
## 112     wood       4
## 113    wheat       4
## 114    wheat       4
## 115    wheat       4
## 116    wheat       4
## 117    sheep       4
## 118    sheep       4
## 119    sheep       4
## 120    sheep       4
## 121    brick       4
## 122    brick       4
## 123    brick       4
## 124      ore       4
## 125      ore       4
## 126      ore       4
## 127     wood       5
## 128     wood       5
## 129     wood       5
## 130     wood       5
## 131    wheat       5
## 132    wheat       5
## 133    wheat       5
## 134    wheat       5
## 135    sheep       5
## 136    sheep       5
## 137    sheep       5
## 138    sheep       5
## 139    brick       5
## 140    brick       5
## 141    brick       5
## 142      ore       5
## 143      ore       5
## 144      ore       5
## 145     wood       6
## 146     wood       6
## 147     wood       6
## 148     wood       6
## 149    wheat       6
## 150    wheat       6
## 151    wheat       6
## 152    wheat       6
## 153    sheep       6
## 154    sheep       6
## 155    sheep       6
## 156    sheep       6
## 157    brick       6
## 158    brick       6
## 159    brick       6
## 160      ore       6
## 161      ore       6
## 162      ore       6
## 163     wood       8
## 164     wood       8
## 165     wood       8
## 166     wood       8
## 167    wheat       8
## 168    wheat       8
## 169    wheat       8
## 170    wheat       8
## 171    sheep       8
## 172    sheep       8
## 173    sheep       8
## 174    sheep       8
## 175    brick       8
## 176    brick       8
## 177    brick       8
## 178      ore       8
## 179      ore       8
## 180      ore       8
## 181     wood       9
## 182     wood       9
## 183     wood       9
## 184     wood       9
## 185    wheat       9
## 186    wheat       9
## 187    wheat       9
## 188    wheat       9
## 189    sheep       9
## 190    sheep       9
## 191    sheep       9
## 192    sheep       9
## 193    brick       9
## 194    brick       9
## 195    brick       9
## 196      ore       9
## 197      ore       9
## 198      ore       9
## 199     wood      10
## 200     wood      10
## 201     wood      10
## 202     wood      10
## 203    wheat      10
## 204    wheat      10
## 205    wheat      10
## 206    wheat      10
## 207    sheep      10
## 208    sheep      10
## 209    sheep      10
## 210    sheep      10
## 211    brick      10
## 212    brick      10
## 213    brick      10
## 214      ore      10
## 215      ore      10
## 216      ore      10
## 217     wood      11
## 218     wood      11
## 219     wood      11
## 220     wood      11
## 221    wheat      11
## 222    wheat      11
## 223    wheat      11
## 224    wheat      11
## 225    sheep      11
## 226    sheep      11
## 227    sheep      11
## 228    sheep      11
## 229    brick      11
## 230    brick      11
## 231    brick      11
## 232      ore      11
## 233      ore      11
## 234      ore      11
## 235     wood       8
## 236     wood       8
## 237     wood       8
## 238     wood       8
## 239    wheat       8
## 240    wheat       8
## 241    wheat       8
## 243    sheep       8
## 245    sheep       8
## 246    sheep       8
## 247    brick       8
## 248    brick       8
## 249    brick       8
## 250      ore       8
## 251      ore       8
## 252      ore       8
## 253     wood       9
## 254     wood       9
## 255     wood       9
## 256     wood       9
## 257    wheat       9
## 260    wheat       9
## 261    sheep       9
## 262    sheep       9
## 263    sheep       9
## 264    sheep       9
## 265    brick       9
## 266    brick       9
## 267    brick       9
## 268      ore       9
## 269      ore       9
## 270      ore       9
## 271     wood      10
## 272     wood      10
## 273     wood      10
## 274     wood      10
## 275    wheat      10
## 276    wheat      10
## 277    wheat      10
## 278    wheat      10
## 279    sheep      10
## 280    sheep      10
## 281    sheep      10
## 282    sheep      10
## 283    brick      10
## 284    brick      10
## 285    brick      10
## 286      ore      10
## 287      ore      10
## 288      ore      10
## 289     wood      11
## 290     wood      11
## 291     wood      11
## 292     wood      11
## 293    wheat      11
## 294    wheat      11
## 295    wheat      11
## 296    wheat      11
## 297    sheep      11
## 298    sheep      11
## 299    sheep      11
## 300    sheep      11
## 301    brick      11
## 302    brick      11
## 303    brick      11
## 304      ore      11
## 305      ore      11
## 306      ore      11
## 307     wood      12
## 308     wood      12
## 309     wood      12
## 310     wood      12
## 311    wheat      12
## 312    wheat      12
## 313    wheat      12
## 314    wheat      12
## 315    sheep      12
## 316    sheep      12
## 317    sheep      12
## 318    sheep      12
## 319    brick      12
## 320    brick      12
## 321    brick      12
## 322      ore      12
## 323      ore      12
## 324      ore      12
#Player 2 Starting Point
p2 <- combos2[p2, ] 
p2
##     resource numbers
## 258    wheat       9
## 242    wheat       8
set.seed(123456)
p3 <- sample(nrow(combos3), 2)
combos4 <- combos3[-p3, ]
combos4
##     resource numbers
## 1       wood       2
## 2       wood       2
## 3       wood       2
## 4       wood       2
## 5      wheat       2
## 6      wheat       2
## 7      wheat       2
## 8      wheat       2
## 9      sheep       2
## 10     sheep       2
## 11     sheep       2
## 12     sheep       2
## 13     brick       2
## 14     brick       2
## 15     brick       2
## 16       ore       2
## 17       ore       2
## 18       ore       2
## 19      wood       3
## 20      wood       3
## 21      wood       3
## 22      wood       3
## 23     wheat       3
## 24     wheat       3
## 25     wheat       3
## 26     wheat       3
## 27     sheep       3
## 28     sheep       3
## 29     sheep       3
## 30     sheep       3
## 31     brick       3
## 32     brick       3
## 33     brick       3
## 34       ore       3
## 35       ore       3
## 36       ore       3
## 37      wood       4
## 38      wood       4
## 39      wood       4
## 40      wood       4
## 41     wheat       4
## 42     wheat       4
## 43     wheat       4
## 44     wheat       4
## 45     sheep       4
## 46     sheep       4
## 47     sheep       4
## 48     sheep       4
## 49     brick       4
## 50     brick       4
## 51     brick       4
## 52       ore       4
## 53       ore       4
## 54       ore       4
## 55      wood       5
## 56      wood       5
## 57      wood       5
## 58      wood       5
## 59     wheat       5
## 60     wheat       5
## 61     wheat       5
## 62     wheat       5
## 63     sheep       5
## 64     sheep       5
## 65     sheep       5
## 66     sheep       5
## 67     brick       5
## 68     brick       5
## 69     brick       5
## 70       ore       5
## 71       ore       5
## 72       ore       5
## 73      wood       6
## 74      wood       6
## 75      wood       6
## 76      wood       6
## 77     wheat       6
## 78     wheat       6
## 79     wheat       6
## 80     wheat       6
## 81     sheep       6
## 82     sheep       6
## 83     sheep       6
## 84     sheep       6
## 85     brick       6
## 86     brick       6
## 87     brick       6
## 88       ore       6
## 89       ore       6
## 90       ore       6
## 91      wood       3
## 92      wood       3
## 93      wood       3
## 94      wood       3
## 95     wheat       3
## 96     wheat       3
## 97     wheat       3
## 98     wheat       3
## 99     sheep       3
## 100    sheep       3
## 101    sheep       3
## 102    sheep       3
## 103    brick       3
## 104    brick       3
## 105    brick       3
## 106      ore       3
## 107      ore       3
## 108      ore       3
## 109     wood       4
## 110     wood       4
## 111     wood       4
## 112     wood       4
## 113    wheat       4
## 114    wheat       4
## 115    wheat       4
## 116    wheat       4
## 117    sheep       4
## 118    sheep       4
## 119    sheep       4
## 120    sheep       4
## 121    brick       4
## 122    brick       4
## 123    brick       4
## 124      ore       4
## 125      ore       4
## 126      ore       4
## 127     wood       5
## 128     wood       5
## 129     wood       5
## 130     wood       5
## 131    wheat       5
## 132    wheat       5
## 133    wheat       5
## 134    wheat       5
## 135    sheep       5
## 136    sheep       5
## 137    sheep       5
## 138    sheep       5
## 139    brick       5
## 140    brick       5
## 141    brick       5
## 142      ore       5
## 143      ore       5
## 144      ore       5
## 145     wood       6
## 146     wood       6
## 147     wood       6
## 148     wood       6
## 149    wheat       6
## 150    wheat       6
## 151    wheat       6
## 152    wheat       6
## 153    sheep       6
## 154    sheep       6
## 155    sheep       6
## 156    sheep       6
## 157    brick       6
## 158    brick       6
## 159    brick       6
## 160      ore       6
## 161      ore       6
## 162      ore       6
## 163     wood       8
## 164     wood       8
## 165     wood       8
## 166     wood       8
## 167    wheat       8
## 168    wheat       8
## 169    wheat       8
## 170    wheat       8
## 171    sheep       8
## 172    sheep       8
## 173    sheep       8
## 174    sheep       8
## 175    brick       8
## 176    brick       8
## 177    brick       8
## 178      ore       8
## 179      ore       8
## 180      ore       8
## 181     wood       9
## 182     wood       9
## 183     wood       9
## 184     wood       9
## 185    wheat       9
## 186    wheat       9
## 187    wheat       9
## 188    wheat       9
## 189    sheep       9
## 190    sheep       9
## 191    sheep       9
## 192    sheep       9
## 193    brick       9
## 194    brick       9
## 195    brick       9
## 196      ore       9
## 197      ore       9
## 198      ore       9
## 199     wood      10
## 200     wood      10
## 201     wood      10
## 202     wood      10
## 203    wheat      10
## 204    wheat      10
## 205    wheat      10
## 206    wheat      10
## 207    sheep      10
## 208    sheep      10
## 209    sheep      10
## 210    sheep      10
## 211    brick      10
## 212    brick      10
## 213    brick      10
## 214      ore      10
## 215      ore      10
## 216      ore      10
## 217     wood      11
## 218     wood      11
## 219     wood      11
## 220     wood      11
## 221    wheat      11
## 222    wheat      11
## 223    wheat      11
## 224    wheat      11
## 225    sheep      11
## 226    sheep      11
## 227    sheep      11
## 228    sheep      11
## 229    brick      11
## 230    brick      11
## 231    brick      11
## 232      ore      11
## 233      ore      11
## 234      ore      11
## 235     wood       8
## 236     wood       8
## 237     wood       8
## 238     wood       8
## 239    wheat       8
## 240    wheat       8
## 243    sheep       8
## 245    sheep       8
## 246    sheep       8
## 247    brick       8
## 248    brick       8
## 249    brick       8
## 250      ore       8
## 251      ore       8
## 252      ore       8
## 253     wood       9
## 254     wood       9
## 255     wood       9
## 256     wood       9
## 257    wheat       9
## 261    sheep       9
## 262    sheep       9
## 263    sheep       9
## 264    sheep       9
## 265    brick       9
## 266    brick       9
## 267    brick       9
## 268      ore       9
## 269      ore       9
## 270      ore       9
## 271     wood      10
## 272     wood      10
## 273     wood      10
## 274     wood      10
## 275    wheat      10
## 276    wheat      10
## 277    wheat      10
## 278    wheat      10
## 279    sheep      10
## 280    sheep      10
## 281    sheep      10
## 282    sheep      10
## 283    brick      10
## 284    brick      10
## 285    brick      10
## 286      ore      10
## 287      ore      10
## 288      ore      10
## 289     wood      11
## 290     wood      11
## 291     wood      11
## 292     wood      11
## 293    wheat      11
## 294    wheat      11
## 295    wheat      11
## 296    wheat      11
## 297    sheep      11
## 298    sheep      11
## 299    sheep      11
## 300    sheep      11
## 301    brick      11
## 302    brick      11
## 303    brick      11
## 304      ore      11
## 305      ore      11
## 306      ore      11
## 307     wood      12
## 308     wood      12
## 309     wood      12
## 310     wood      12
## 311    wheat      12
## 312    wheat      12
## 313    wheat      12
## 314    wheat      12
## 315    sheep      12
## 316    sheep      12
## 317    sheep      12
## 318    sheep      12
## 319    brick      12
## 320    brick      12
## 321    brick      12
## 322      ore      12
## 323      ore      12
## 324      ore      12
#Player 2 Starting Point
p3 <- combos3[p3, ] 
p3
##     resource numbers
## 260    wheat       9
## 241    wheat       8