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
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
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"
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
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