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Explicit -> implicit iteration.
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1 /* Planeteer: Give trade route advice for Planets: The Exploration of Space
2 * Copyright (C) 2011 Scott Worley <sworley@chkno.net>
3 *
4 * This program is free software: you can redistribute it and/or modify
5 * it under the terms of the GNU Affero General Public License as
6 * published by the Free Software Foundation, either version 3 of the
7 * License, or (at your option) any later version.
8 *
9 * This program is distributed in the hope that it will be useful,
10 * but WITHOUT ANY WARRANTY; without even the implied warranty of
11 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
12 * GNU Affero General Public License for more details.
13 *
14 * You should have received a copy of the GNU Affero General Public License
15 * along with this program. If not, see <http://www.gnu.org/licenses/>.
16 */
17
18 package main
19
20 import "flag"
21 import "fmt"
22 import "json"
23 import "os"
24 import "runtime/pprof"
25 import "strings"
26
27 var funds = flag.Int("funds", 0,
28 "Starting funds")
29
30 var start = flag.String("start", "",
31 "The planet to start at")
32
33 var flight_plan_string = flag.String("flight_plan", "",
34 "Your hyper-holes for the day, comma-separated.")
35
36 var end_string = flag.String("end", "",
37 "A comma-separated list of acceptable ending planets.")
38
39 var planet_data_file = flag.String("planet_data_file", "planet-data",
40 "The file to read planet data from")
41
42 var fuel = flag.Int("fuel", 16, "Hyper Jump power left")
43
44 var hold = flag.Int("hold", 300, "Size of your cargo hold")
45
46 var start_edens = flag.Int("start_edens", 0,
47 "How many Eden Warp Units are you starting with?")
48
49 var end_edens = flag.Int("end_edens", 0,
50 "How many Eden Warp Units would you like to keep (not use)?")
51
52 var cloak = flag.Bool("cloak", false,
53 "Make sure to end with a Device of Cloaking")
54
55 var drones = flag.Int("drones", 0, "Buy this many Fighter Drones")
56
57 var batteries = flag.Int("batteries", 0, "Buy this many Shield Batterys")
58
59 var drone_price = flag.Int("drone_price", 0, "Today's Fighter Drone price")
60
61 var battery_price = flag.Int("battery_price", 0, "Today's Shield Battery price")
62
63 var visit_string = flag.String("visit", "",
64 "A comma-separated list of planets to make sure to visit")
65
66 var cpuprofile = flag.String("cpuprofile", "", "write cpu profile to file")
67
68
69 var visit_cache []string
70 func visit() []string {
71 if visit_cache == nil {
72 if *visit_string == "" {
73 return nil
74 }
75 visit_cache = strings.Split(*visit_string, ",")
76 }
77 return visit_cache
78 }
79
80 var flight_plan_cache []string
81 func flight_plan() []string {
82 if flight_plan_cache == nil {
83 if *flight_plan_string == "" {
84 return nil
85 }
86 flight_plan_cache = strings.Split(*flight_plan_string, ",")
87 }
88 return flight_plan_cache
89 }
90
91 var end_cache map[string]bool
92 func end() map[string]bool {
93 if end_cache == nil {
94 if *end_string == "" {
95 return nil
96 }
97 m := make(map[string]bool)
98 for _, p := range strings.Split(*end_string, ",") {
99 m[p] = true
100 }
101 end_cache = m
102 }
103 return end_cache
104 }
105
106 type Commodity struct {
107 BasePrice int
108 CanSell bool
109 Limit int
110 }
111 type Planet struct {
112 BeaconOn bool
113 Private bool
114 /* Use relative prices rather than absolute prices because you
115 can get relative prices without traveling to each planet. */
116 RelativePrices map[string]int
117 }
118 type planet_data struct {
119 Commodities map[string]Commodity
120 Planets map[string]Planet
121 p2i, c2i map[string]int // Generated; not read from file
122 i2p, i2c []string // Generated; not read from file
123 }
124
125 func ReadData() (data planet_data) {
126 f, err := os.Open(*planet_data_file)
127 if err != nil {
128 panic(err)
129 }
130 defer f.Close()
131 err = json.NewDecoder(f).Decode(&data)
132 if err != nil {
133 panic(err)
134 }
135 return
136 }
137
138 /* This program operates by filling in a state table representing the best
139 * possible trips you could make; the ones that makes you the most money.
140 * This is feasible because we don't look at all the possible trips.
141 * We define a list of things that are germane to this game and then only
142 * consider the best outcome in each possible game state.
143 *
144 * Each cell in the table represents a state in the game. In each cell,
145 * we track two things: 1. the most money you could possibly have while in
146 * that state and 2. one possible way to get into that state with that
147 * amount of money.
148 *
149 * A basic analysis can be done with a two-dimensional table: location and
150 * fuel. planeteer-1.0 used this two-dimensional table. This version
151 * adds features mostly by adding dimensions to this table.
152 *
153 * Note that the sizes of each dimension are data driven. Many dimensions
154 * collapse to one possible value (ie, disappear) if the corresponding
155 * feature is not enabled.
156 *
157 * The order of the dimensions in the list of constants below determines
158 * their layout in RAM. The cargo-based 'dimensions' are not completely
159 * independent -- some combinations are illegal and not used. They are
160 * handled as three dimensions rather than one for simplicity. Placing
161 * these dimensions first causes the unused cells in the table to be
162 * grouped together in large blocks. This keeps them from polluting
163 * cache lines, and if they are large enough, allows the memory manager
164 * to swap out entire pages.
165 *
166 * If the table gets too big to fit in RAM:
167 * * Combine the Edens, Cloaks, and UnusedCargo dimensions. Of the
168 * 24 combinations, only 15 are legal: a 38% savings.
169 * * Reduce the size of the Fuel dimension to 3. We only ever look
170 * backwards 2 units, so just rotate the logical values through
171 * the same 3 physical addresses. This is good for an 82% savings.
172 * * Reduce the size of the Edens dimension from 3 to 2, for the
173 * same reasons as Fuel above. 33% savings.
174 * * Buy more ram. (Just sayin'. It's cheaper than you think.)
175 *
176 */
177
178 // The official list of dimensions:
179 const (
180 // Name Num Size Description
181 Edens = iota // 1 3 # of Eden warp units (0 - 2 typically)
182 Cloaks // 2 1-2 # of Devices of Cloaking (0 or 1)
183 UnusedCargo // 3 4 # of unused cargo spaces (0 - 3 typically)
184 Fuel // 4 17 Hyper jump power left (0 - 16)
185 Location // 5 26 Location (which planet)
186 Hold // 6 15 Cargo bay contents (a *Commodity or nil)
187 Traded // 7 2 Traded yet?
188 BuyFighters // 8 1-2 Errand: Buy fighter drones
189 BuyShields // 9 1-2 Errand: Buy shield batteries
190 Visit // 10 1-2**N Visit: Stop by these N planets in the route
191
192 NumDimensions
193 )
194
195 func bint(b bool) int {
196 if b {
197 return 1
198 }
199 return 0
200 }
201
202 func DimensionSizes(data planet_data) []int {
203 eden_capacity := data.Commodities["Eden Warp Units"].Limit
204 if *start_edens > eden_capacity {
205 eden_capacity = *start_edens
206 }
207 cloak_capacity := bint(*cloak)
208 dims := make([]int, NumDimensions)
209 dims[Edens] = eden_capacity + 1
210 dims[Cloaks] = cloak_capacity + 1
211 dims[UnusedCargo] = eden_capacity + cloak_capacity + 1
212 dims[Fuel] = *fuel + 1
213 dims[Location] = len(data.Planets)
214 dims[Hold] = len(data.Commodities) + 1
215 dims[Traded] = 2
216 dims[BuyFighters] = bint(*drones > 0) + 1
217 dims[BuyShields] = bint(*batteries > 0) + 1
218 dims[Visit] = 1 << uint(len(visit()))
219
220 // Remind myself to add a line above when adding new dimensions
221 for i, dim := range dims {
222 if dim < 1 {
223 panic(i)
224 }
225 }
226 return dims
227 }
228
229 func StateTableSize(dims []int) int {
230 product := 1
231 for _, size := range dims {
232 product *= size
233 }
234 return product
235 }
236
237 type State struct {
238 value, from int32
239 }
240
241 const CELL_UNINITIALIZED = -2147483647
242 const CELL_BEING_EVALUATED = -2147483646
243 const CELL_RUBISH = -2147483645
244
245 func EncodeIndex(dims, addr []int) int32 {
246 index := int32(addr[0])
247 if addr[0] > dims[0] {
248 panic(0)
249 }
250 for i := 1; i < NumDimensions; i++ {
251 if addr[i] < 0 || addr[i] > dims[i] {
252 panic(i)
253 }
254 index = index*int32(dims[i]) + int32(addr[i])
255 }
256 return index
257 }
258
259 func DecodeIndex(dims []int, index int32) []int {
260 addr := make([]int, NumDimensions)
261 for i := NumDimensions - 1; i > 0; i-- {
262 addr[i] = int(index) % dims[i]
263 index /= int32(dims[i])
264 }
265 addr[0] = int(index)
266 return addr
267 }
268
269 func CreateStateTable(data planet_data, dims []int) []State {
270 table := make([]State, StateTableSize(dims))
271 for i := range table {
272 table[i].value = CELL_UNINITIALIZED
273 }
274
275 addr := make([]int, NumDimensions)
276 addr[Fuel] = *fuel
277 addr[Edens] = *start_edens
278 addr[Location] = data.p2i[*start]
279 addr[Traded] = 1
280 table[EncodeIndex(dims, addr)].value = int32(*funds)
281
282 return table
283 }
284
285 /* CellValue fills in the one cell at address addr by looking at all
286 * the possible ways to reach this cell and selecting the best one. */
287
288 func Consider(data planet_data, dims []int, table []State, there []int, value_difference int, best_value *int32, best_source []int) {
289 there_value := CellValue(data, dims, table, there)
290 if value_difference < 0 && int32(-value_difference) > there_value {
291 /* Can't afford this transition */
292 return
293 }
294 possible_value := there_value + int32(value_difference)
295 if possible_value > *best_value {
296 *best_value = possible_value
297 copy(best_source, there)
298 }
299 }
300
301 var cell_filled_count int
302 func CellValue(data planet_data, dims []int, table []State, addr []int) int32 {
303 my_index := EncodeIndex(dims, addr)
304 if table[my_index].value == CELL_BEING_EVALUATED {
305 panic("Circular dependency")
306 }
307 if table[my_index].value != CELL_UNINITIALIZED {
308 return table[my_index].value
309 }
310 table[my_index].value = CELL_BEING_EVALUATED
311
312 best_value := int32(CELL_RUBISH)
313 best_source := make([]int, NumDimensions)
314 other := make([]int, NumDimensions)
315 copy(other, addr)
316 planet := data.i2p[addr[Location]]
317
318 /* Travel here */
319 if addr[Traded] == 0 { /* Can't have traded immediately after traveling. */
320 other[Traded] = 1 /* Travel from states that have done trading. */
321
322 /* Travel here via a 2-fuel unit jump */
323 if addr[Fuel]+2 < dims[Fuel] {
324 other[Fuel] = addr[Fuel] + 2
325 hole_index := (dims[Fuel] - 1) - (addr[Fuel] + 2)
326 if hole_index >= len(flight_plan()) || addr[Location] != data.p2i[flight_plan()[hole_index]] {
327 for other[Location] = 0; other[Location] < dims[Location]; other[Location]++ {
328 if data.Planets[data.i2p[addr[Location]]].BeaconOn {
329 Consider(data, dims, table, other, 0, &best_value, best_source)
330 }
331 }
332 }
333 other[Location] = addr[Location]
334 other[Fuel] = addr[Fuel]
335 }
336
337 /* Travel here via a 1-fuel unit jump (a hyper hole) */
338 if addr[Fuel]+1 < dims[Fuel] {
339 hole_index := (dims[Fuel] - 1) - (addr[Fuel] + 1)
340 if hole_index < len(flight_plan()) && addr[Location] == data.p2i[flight_plan()[hole_index]] {
341 other[Fuel] = addr[Fuel] + 1
342 for other[Location] = 0; other[Location] < dims[Location]; other[Location]++ {
343 Consider(data, dims, table, other, 0, &best_value, best_source)
344 }
345 other[Location] = addr[Location]
346 other[Fuel] = addr[Fuel]
347 }
348 }
349
350 /* Travel here via Eden Warp Unit */
351 if addr[Edens]+1 < dims[Edens] && addr[UnusedCargo] > 1 {
352 _, available := data.Planets[data.i2p[addr[Location]]].RelativePrices["Eden Warp Units"]
353 if !available {
354 other[Edens] = addr[Edens] + 1
355 if other[Hold] != 0 {
356 other[UnusedCargo] = addr[UnusedCargo] - 1
357 }
358 for other[Location] = 0; other[Location] < dims[Location]; other[Location]++ {
359 Consider(data, dims, table, other, 0, &best_value, best_source)
360 }
361 other[Location] = addr[Location]
362 other[UnusedCargo] = addr[UnusedCargo]
363 other[Edens] = addr[Edens]
364 }
365 }
366 other[Traded] = addr[Traded]
367 }
368
369 /* Trade */
370 if addr[Traded] == 1 {
371 other[Traded] = 0
372
373 /* Consider not trading */
374 Consider(data, dims, table, other, 0, &best_value, best_source)
375
376 if !data.Planets[data.i2p[addr[Location]]].Private {
377
378 /* Sell */
379 if addr[Hold] == 0 && addr[UnusedCargo] == 0 {
380 for other[Hold] = 0; other[Hold] < dims[Hold]; other[Hold]++ {
381 commodity := data.i2c[other[Hold]]
382 if !data.Commodities[commodity].CanSell {
383 continue
384 }
385 relative_price, available := data.Planets[planet].RelativePrices[commodity]
386 if !available {
387 // TODO: Dump cargo
388 continue
389 }
390 base_price := data.Commodities[commodity].BasePrice
391 absolute_price := float64(base_price) * float64(relative_price) / 100.0
392 sell_price := int(absolute_price * 0.9)
393
394 for other[UnusedCargo] = 0; other[UnusedCargo] < dims[UnusedCargo]; other[UnusedCargo]++ {
395 quantity := *hold - (other[UnusedCargo] + other[Cloaks] + other[Edens])
396 sale_value := quantity * sell_price
397 Consider(data, dims, table, other, sale_value, &best_value, best_source)
398 }
399 }
400 other[UnusedCargo] = addr[UnusedCargo]
401 other[Hold] = addr[Hold]
402 }
403
404 /* Buy */
405 other[Traded] = addr[Traded] /* Buy after selling */
406 if addr[Hold] != 0 {
407 commodity := data.i2c[addr[Hold]]
408 if data.Commodities[commodity].CanSell {
409 relative_price, available := data.Planets[planet].RelativePrices[commodity]
410 if available {
411 base_price := data.Commodities[commodity].BasePrice
412 absolute_price := int(float64(base_price) * float64(relative_price) / 100.0)
413 quantity := *hold - (addr[UnusedCargo] + addr[Cloaks] + addr[Edens])
414 total_price := quantity * absolute_price
415 other[Hold] = 0
416 other[UnusedCargo] = 0
417 Consider(data, dims, table, other, -total_price, &best_value, best_source)
418 other[UnusedCargo] = addr[UnusedCargo]
419 other[Hold] = addr[Hold]
420 }
421 }
422 }
423 }
424 }
425
426 /* Buy a Device of Cloaking */
427 if addr[Cloaks] == 1 && addr[UnusedCargo] < dims[UnusedCargo]-1 {
428 relative_price, available := data.Planets[data.i2p[addr[Location]]].RelativePrices["Device Of Cloakings"]
429 if available {
430 absolute_price := int(float64(data.Commodities["Device Of Cloakings"].BasePrice) * float64(relative_price) / 100.0)
431 other[Cloaks] = 0
432 if other[Hold] != 0 {
433 other[UnusedCargo] = addr[UnusedCargo] + 1
434 }
435 Consider(data, dims, table, other, -absolute_price, &best_value, best_source)
436 other[UnusedCargo] = addr[UnusedCargo]
437 other[Cloaks] = addr[Cloaks]
438 }
439 }
440
441 /* Buy Fighter Drones */
442 if addr[BuyFighters] == 1 {
443 relative_price, available := data.Planets[data.i2p[addr[Location]]].RelativePrices["Fighter Drones"]
444 if available {
445 absolute_price := int(float64(data.Commodities["Fighter Drones"].BasePrice) * float64(relative_price) / 100.0)
446 other[BuyFighters] = 0
447 Consider(data, dims, table, other, -absolute_price * *drones, &best_value, best_source)
448 other[BuyFighters] = addr[BuyFighters]
449 }
450 }
451
452 /* Buy Shield Batteries */
453 if addr[BuyShields] == 1 {
454 relative_price, available := data.Planets[data.i2p[addr[Location]]].RelativePrices["Shield Batterys"]
455 if available {
456 absolute_price := int(float64(data.Commodities["Shield Batterys"].BasePrice) * float64(relative_price) / 100.0)
457 other[BuyShields] = 0
458 Consider(data, dims, table, other, -absolute_price * *batteries, &best_value, best_source)
459 other[BuyShields] = addr[BuyShields]
460 }
461 }
462
463 /* Visit this planet */
464 var i uint
465 for i = 0; i < uint(len(visit())); i++ {
466 if addr[Visit] & (1 << i) != 0 && visit()[i] == data.i2p[addr[Location]] {
467 other[Visit] = addr[Visit] & ^(1 << i)
468 Consider(data, dims, table, other, 0, &best_value, best_source)
469 }
470 }
471 other[Visit] = addr[Visit]
472
473 /* Buy Eden warp units */
474 eden_limit := data.Commodities["Eden Warp Units"].Limit
475 if addr[Edens] > 0 && addr[Edens] <= eden_limit {
476 relative_price, available := data.Planets[data.i2p[addr[Location]]].RelativePrices["Eden Warp Units"]
477 if available {
478 absolute_price := int(float64(data.Commodities["Eden Warp Units"].BasePrice) * float64(relative_price) / 100.0)
479 for quantity := addr[Edens]; quantity > 0; quantity-- {
480 other[Edens] = addr[Edens] - quantity
481 if addr[Hold] != 0 {
482 other[UnusedCargo] = addr[UnusedCargo] + quantity
483 }
484 if other[UnusedCargo] < dims[UnusedCargo] {
485 Consider(data, dims, table, other, -absolute_price * quantity, &best_value, best_source)
486 }
487 }
488 other[Edens] = addr[Edens]
489 other[UnusedCargo] = addr[UnusedCargo]
490 }
491 }
492
493 if table[my_index].value != CELL_BEING_EVALUATED {
494 panic(my_index)
495 }
496 table[my_index].value = best_value
497 table[my_index].from = EncodeIndex(dims, best_source)
498
499 cell_filled_count ++
500 if cell_filled_count & 0xff == 0 {
501 print(fmt.Sprintf("\r%3.1f%%", 100*float64(cell_filled_count)/float64(StateTableSize(dims))))
502 }
503
504 return table[my_index].value
505 }
506
507 func FindBestState(data planet_data, dims []int, table []State) int32 {
508 addr := make([]int, NumDimensions)
509 addr[Edens] = *end_edens
510 addr[Cloaks] = dims[Cloaks] - 1
511 addr[BuyFighters] = dims[BuyFighters] - 1
512 addr[BuyShields] = dims[BuyShields] - 1
513 addr[Visit] = dims[Visit] - 1
514 addr[Traded] = 1
515 // Hold and UnusedCargo left at 0
516 max_index := int32(-1)
517 max_value := int32(0)
518 for addr[Fuel] = 0; addr[Fuel] < 2; addr[Fuel]++ {
519 for addr[Location] = 0; addr[Location] < dims[Location]; addr[Location]++ {
520 if len(end()) == 0 || end()[data.i2p[addr[Location]]] {
521 index := EncodeIndex(dims, addr)
522 value := CellValue(data, dims, table, addr)
523 if value > max_value {
524 max_value = value
525 max_index = index
526 }
527 }
528 }
529 }
530 return max_index
531 }
532
533 func Commas(n int32) (s string) {
534 r := n % 1000
535 n /= 1000
536 for n > 0 {
537 s = fmt.Sprintf(",%03d", r) + s
538 r = n % 1000
539 n /= 1000
540 }
541 s = fmt.Sprint(r) + s
542 return
543 }
544
545 func DescribePath(data planet_data, dims []int, table []State, start int32) (description []string) {
546 for index := start; index > 0 && table[index].from > 0; index = table[index].from {
547 var line string
548 addr := DecodeIndex(dims, index)
549 prev := DecodeIndex(dims, table[index].from)
550 if addr[Fuel] != prev[Fuel] {
551 from := data.i2p[prev[Location]]
552 to := data.i2p[addr[Location]]
553 line += fmt.Sprintf("Jump from %v to %v (%v hyper jump units)", from, to, prev[Fuel]-addr[Fuel])
554 }
555 if addr[Edens] == prev[Edens] - 1 {
556 from := data.i2p[prev[Location]]
557 to := data.i2p[addr[Location]]
558 line += fmt.Sprintf("Eden warp from %v to %v", from, to)
559 }
560 if addr[Hold] != prev[Hold] {
561 if addr[Hold] == 0 {
562 quantity := *hold - (prev[UnusedCargo] + prev[Edens] + prev[Cloaks])
563 line += fmt.Sprintf("Sell %v %v", quantity, data.i2c[prev[Hold]])
564 } else if prev[Hold] == 0 {
565 quantity := *hold - (addr[UnusedCargo] + addr[Edens] + addr[Cloaks])
566 line += fmt.Sprintf("Buy %v %v", quantity, data.i2c[addr[Hold]])
567 } else {
568 panic("Switched cargo?")
569 }
570
571 }
572 if addr[Cloaks] == 1 && prev[Cloaks] == 0 {
573 // TODO: Dump cloaks, convert from cargo?
574 line += "Buy a Cloak"
575 }
576 if addr[Edens] > prev[Edens] {
577 line += fmt.Sprint("Buy ", addr[Edens] - prev[Edens], " Eden Warp Units")
578 }
579 if addr[BuyShields] == 1 && prev[BuyShields] == 0 {
580 line += fmt.Sprint("Buy ", *batteries, " Shield Batterys")
581 }
582 if addr[BuyFighters] == 1 && prev[BuyFighters] == 0 {
583 line += fmt.Sprint("Buy ", *drones, " Fighter Drones")
584 }
585 if addr[Visit] != prev[Visit] {
586 // TODO: verify that the bit chat changed is addr[Location]
587 line += fmt.Sprint("Visit ", data.i2p[addr[Location]])
588 }
589 if line == "" && addr[Hold] == prev[Hold] && addr[Traded] != prev[Traded] {
590 // The Traded dimension is for housekeeping. It doesn't directly
591 // correspond to in-game actions, so don't report transitions.
592 continue
593 }
594 if line == "" {
595 line = fmt.Sprint(prev, " -> ", addr)
596 }
597 description = append(description, fmt.Sprintf("%13v ", Commas(table[index].value)) + line)
598 }
599 return
600 }
601
602 // (Example of a use case for generics in Go)
603 func IndexPlanets(m *map[string]Planet, start_at int) (map[string]int, []string) {
604 e2i := make(map[string]int, len(*m)+start_at)
605 i2e := make([]string, len(*m)+start_at)
606 i := start_at
607 for e := range *m {
608 e2i[e] = i
609 i2e[i] = e
610 i++
611 }
612 return e2i, i2e
613 }
614 func IndexCommodities(m *map[string]Commodity, start_at int) (map[string]int, []string) {
615 e2i := make(map[string]int, len(*m)+start_at)
616 i2e := make([]string, len(*m)+start_at)
617 i := start_at
618 for e := range *m {
619 e2i[e] = i
620 i2e[i] = e
621 i++
622 }
623 return e2i, i2e
624 }
625
626 func main() {
627 flag.Parse()
628 if *cpuprofile != "" {
629 f, err := os.Create(*cpuprofile)
630 if err != nil {
631 panic(err)
632 }
633 pprof.StartCPUProfile(f)
634 defer pprof.StopCPUProfile()
635 }
636 data := ReadData()
637 if *drone_price > 0 {
638 temp := data.Commodities["Fighter Drones"]
639 temp.BasePrice = *drone_price
640 data.Commodities["Fighter Drones"] = temp
641 }
642 if *battery_price > 0 {
643 temp := data.Commodities["Shield Batterys"]
644 temp.BasePrice = *battery_price
645 data.Commodities["Shield Batterys"] = temp
646 }
647 data.p2i, data.i2p = IndexPlanets(&data.Planets, 0)
648 data.c2i, data.i2c = IndexCommodities(&data.Commodities, 1)
649 dims := DimensionSizes(data)
650 table := CreateStateTable(data, dims)
651 best := FindBestState(data, dims, table)
652 print("\n")
653 if best == -1 {
654 print("Cannot acheive success criteria\n")
655 } else {
656 description := DescribePath(data, dims, table, best)
657 for i := len(description) - 1; i >= 0; i-- {
658 fmt.Println(description[i])
659 }
660 }
661 }