Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 15, 3, 14, 66 ]
62
[ "15+3=18", "14+66=80", "80-18=62" ]
Current State: 62:[15, 3, 14, 66], Operations: [] Exploring Operation: 15+3=18, Resulting Numbers: [14, 66, 18] Generated Node #2: [14, 66, 18] from Operation: 15+3=18 Current State: 62:[14, 66, 18], Operations: ['15+3=18'] Exploring Operation: 14+66=80, Resulting Numbers: [18, 80] Generated Node #3: [18, 80] from Operation: 14+66=80 Current State: 62:[18, 80], Operations: ['15+3=18', '14+66=80'] Exploring Operation: 80-18=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 32, 86, 75, 21 ]
19
[ "75-32=43", "86/43=2", "21-2=19" ]
Current State: 19:[32, 86, 75, 21], Operations: [] Exploring Operation: 75-32=43, Resulting Numbers: [86, 21, 43] Generated Node #2: [86, 21, 43] from Operation: 75-32=43 Current State: 19:[86, 21, 43], Operations: ['75-32=43'] Exploring Operation: 86/43=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 86/43=2 Current State: 19:[21, 2], Operations: ['75-32=43', '86/43=2'] Exploring Operation: 21-2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 9, 58, 45, 55 ]
18
[ "9+45=54", "58-55=3", "54/3=18" ]
Current State: 18:[9, 58, 45, 55], Operations: [] Exploring Operation: 9+45=54, Resulting Numbers: [58, 55, 54] Generated Node #2: [58, 55, 54] from Operation: 9+45=54 Current State: 18:[58, 55, 54], Operations: ['9+45=54'] Exploring Operation: 58-55=3, Resulting Numbers: [54, 3] Generated Node #3: [54, 3] from Operation: 58-55=3 Current State: 18:[54, 3], Operations: ['9+45=54', '58-55=3'] Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 20, 69, 74, 84 ]
71
[ "84-74=10", "20/10=2", "69+2=71" ]
Current State: 71:[20, 69, 74, 84], Operations: [] Exploring Operation: 84-74=10, Resulting Numbers: [20, 69, 10] Generated Node #2: [20, 69, 10] from Operation: 84-74=10 Current State: 71:[20, 69, 10], Operations: ['84-74=10'] Exploring Operation: 20/10=2, Resulting Numbers: [69, 2] Generated Node #3: [69, 2] from Operation: 20/10=2 Current State: 71:[69, 2], Operations: ['84-74=10', '20/10=2'] Exploring Operation: 69+2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 82, 94, 2, 41 ]
65
[ "94-82=12", "2*12=24", "41+24=65" ]
Current State: 65:[82, 94, 2, 41], Operations: [] Exploring Operation: 94-82=12, Resulting Numbers: [2, 41, 12] Generated Node #2: [2, 41, 12] from Operation: 94-82=12 Current State: 65:[2, 41, 12], Operations: ['94-82=12'] Exploring Operation: 2*12=24, Resulting Numbers: [41, 24] Generated Node #3: [41, 24] from Operation: 2*12=24 Current State: 65:[41, 24], Operations: ['94-82=12', '2*12=24'] Exploring Operation: 41+24=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 32, 90, 94, 86 ]
78
[ "94-90=4", "32/4=8", "86-8=78" ]
Current State: 78:[32, 90, 94, 86], Operations: [] Exploring Operation: 94-90=4, Resulting Numbers: [32, 86, 4] Generated Node #2: [32, 86, 4] from Operation: 94-90=4 Current State: 78:[32, 86, 4], Operations: ['94-90=4'] Exploring Operation: 32/4=8, Resulting Numbers: [86, 8] Generated Node #3: [86, 8] from Operation: 32/4=8 Current State: 78:[86, 8], Operations: ['94-90=4', '32/4=8'] Exploring Operation: 86-8=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 29, 84, 71, 41 ]
57
[ "84-29=55", "71+41=112", "112-55=57" ]
Current State: 57:[29, 84, 71, 41], Operations: [] Exploring Operation: 84-29=55, Resulting Numbers: [71, 41, 55] Generated Node #2: [71, 41, 55] from Operation: 84-29=55 Current State: 57:[71, 41, 55], Operations: ['84-29=55'] Exploring Operation: 71+41=112, Resulting Numbers: [55, 112] Generated Node #3: [55, 112] from Operation: 71+41=112 Current State: 57:[55, 112], Operations: ['84-29=55', '71+41=112'] Exploring Operation: 112-55=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 83, 53, 41, 25 ]
96
[ "83-53=30", "41+25=66", "30+66=96" ]
Current State: 96:[83, 53, 41, 25], Operations: [] Exploring Operation: 83-53=30, Resulting Numbers: [41, 25, 30] Generated Node #2: [41, 25, 30] from Operation: 83-53=30 Current State: 96:[41, 25, 30], Operations: ['83-53=30'] Exploring Operation: 41+25=66, Resulting Numbers: [30, 66] Generated Node #3: [30, 66] from Operation: 41+25=66 Current State: 96:[30, 66], Operations: ['83-53=30', '41+25=66'] Exploring Operation: 30+66=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 99, 15, 88, 47 ]
11
[ "99*15=1485", "88+47=135", "1485/135=11" ]
Current State: 11:[99, 15, 88, 47], Operations: [] Exploring Operation: 99*15=1485, Resulting Numbers: [88, 47, 1485] Generated Node #2: [88, 47, 1485] from Operation: 99*15=1485 Current State: 11:[88, 47, 1485], Operations: ['99*15=1485'] Exploring Operation: 88+47=135, Resulting Numbers: [1485, 135] Generated Node #3: [1485, 135] from Operation: 88+47=135 Current State: 11:[1485, 135], Operations: ['99*15=1485', '88+47=135'] Exploring Operation: 1485/135=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 10, 54, 2, 42 ]
40
[ "54-10=44", "2*42=84", "84-44=40" ]
Current State: 40:[10, 54, 2, 42], Operations: [] Exploring Operation: 54-10=44, Resulting Numbers: [2, 42, 44] Generated Node #2: [2, 42, 44] from Operation: 54-10=44 Current State: 40:[2, 42, 44], Operations: ['54-10=44'] Exploring Operation: 2*42=84, Resulting Numbers: [44, 84] Generated Node #3: [44, 84] from Operation: 2*42=84 Current State: 40:[44, 84], Operations: ['54-10=44', '2*42=84'] Exploring Operation: 84-44=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 16, 37, 55, 44 ]
32
[ "37-16=21", "55-44=11", "21+11=32" ]
Current State: 32:[16, 37, 55, 44], Operations: [] Exploring Operation: 37-16=21, Resulting Numbers: [55, 44, 21] Generated Node #2: [55, 44, 21] from Operation: 37-16=21 Current State: 32:[55, 44, 21], Operations: ['37-16=21'] Exploring Operation: 55-44=11, Resulting Numbers: [21, 11] Generated Node #3: [21, 11] from Operation: 55-44=11 Current State: 32:[21, 11], Operations: ['37-16=21', '55-44=11'] Exploring Operation: 21+11=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 66, 42, 94, 4 ]
70
[ "94-66=28", "4*28=112", "112-42=70" ]
Current State: 70:[66, 42, 94, 4], Operations: [] Exploring Operation: 94-66=28, Resulting Numbers: [42, 4, 28] Generated Node #2: [42, 4, 28] from Operation: 94-66=28 Current State: 70:[42, 4, 28], Operations: ['94-66=28'] Exploring Operation: 4*28=112, Resulting Numbers: [42, 112] Generated Node #3: [42, 112] from Operation: 4*28=112 Current State: 70:[42, 112], Operations: ['94-66=28', '4*28=112'] Exploring Operation: 112-42=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 19, 34, 27, 59 ]
85
[ "19+34=53", "59-27=32", "53+32=85" ]
Current State: 85:[19, 34, 27, 59], Operations: [] Exploring Operation: 19+34=53, Resulting Numbers: [27, 59, 53] Generated Node #2: [27, 59, 53] from Operation: 19+34=53 Current State: 85:[27, 59, 53], Operations: ['19+34=53'] Exploring Operation: 59-27=32, Resulting Numbers: [53, 32] Generated Node #3: [53, 32] from Operation: 59-27=32 Current State: 85:[53, 32], Operations: ['19+34=53', '59-27=32'] Exploring Operation: 53+32=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 41, 2, 4, 33 ]
80
[ "41+2=43", "4+33=37", "43+37=80" ]
Current State: 80:[41, 2, 4, 33], Operations: [] Exploring Operation: 41+2=43, Resulting Numbers: [4, 33, 43] Generated Node #2: [4, 33, 43] from Operation: 41+2=43 Current State: 80:[4, 33, 43], Operations: ['41+2=43'] Exploring Operation: 4+33=37, Resulting Numbers: [43, 37] Generated Node #3: [43, 37] from Operation: 4+33=37 Current State: 80:[43, 37], Operations: ['41+2=43', '4+33=37'] Exploring Operation: 43+37=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 88, 38, 51, 84 ]
17
[ "88-38=50", "84-51=33", "50-33=17" ]
Current State: 17:[88, 38, 51, 84], Operations: [] Exploring Operation: 88-38=50, Resulting Numbers: [51, 84, 50] Generated Node #2: [51, 84, 50] from Operation: 88-38=50 Current State: 17:[51, 84, 50], Operations: ['88-38=50'] Exploring Operation: 84-51=33, Resulting Numbers: [50, 33] Generated Node #3: [50, 33] from Operation: 84-51=33 Current State: 17:[50, 33], Operations: ['88-38=50', '84-51=33'] Exploring Operation: 50-33=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 71, 84, 25, 66 ]
28
[ "84-71=13", "66-25=41", "41-13=28" ]
Current State: 28:[71, 84, 25, 66], Operations: [] Exploring Operation: 84-71=13, Resulting Numbers: [25, 66, 13] Generated Node #2: [25, 66, 13] from Operation: 84-71=13 Current State: 28:[25, 66, 13], Operations: ['84-71=13'] Exploring Operation: 66-25=41, Resulting Numbers: [13, 41] Generated Node #3: [13, 41] from Operation: 66-25=41 Current State: 28:[13, 41], Operations: ['84-71=13', '66-25=41'] Exploring Operation: 41-13=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 82, 36, 76, 62 ]
32
[ "82-36=46", "76-62=14", "46-14=32" ]
Current State: 32:[82, 36, 76, 62], Operations: [] Exploring Operation: 82-36=46, Resulting Numbers: [76, 62, 46] Generated Node #2: [76, 62, 46] from Operation: 82-36=46 Current State: 32:[76, 62, 46], Operations: ['82-36=46'] Exploring Operation: 76-62=14, Resulting Numbers: [46, 14] Generated Node #3: [46, 14] from Operation: 76-62=14 Current State: 32:[46, 14], Operations: ['82-36=46', '76-62=14'] Exploring Operation: 46-14=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 76, 42, 15, 14 ]
36
[ "76+14=90", "90/15=6", "42-6=36" ]
Current State: 36:[76, 42, 15, 14], Operations: [] Exploring Operation: 76+14=90, Resulting Numbers: [42, 15, 90] Generated Node #2: [42, 15, 90] from Operation: 76+14=90 Current State: 36:[42, 15, 90], Operations: ['76+14=90'] Exploring Operation: 90/15=6, Resulting Numbers: [42, 6] Generated Node #3: [42, 6] from Operation: 90/15=6 Current State: 36:[42, 6], Operations: ['76+14=90', '90/15=6'] Exploring Operation: 42-6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 32, 70, 83, 39 ]
20
[ "32+70=102", "83+39=122", "122-102=20" ]
Current State: 20:[32, 70, 83, 39], Operations: [] Exploring Operation: 32+70=102, Resulting Numbers: [83, 39, 102] Generated Node #2: [83, 39, 102] from Operation: 32+70=102 Current State: 20:[83, 39, 102], Operations: ['32+70=102'] Exploring Operation: 83+39=122, Resulting Numbers: [102, 122] Generated Node #3: [102, 122] from Operation: 83+39=122 Current State: 20:[102, 122], Operations: ['32+70=102', '83+39=122'] Exploring Operation: 122-102=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 48, 13, 17, 91 ]
47
[ "48+13=61", "17+91=108", "108-61=47" ]
Current State: 47:[48, 13, 17, 91], Operations: [] Exploring Operation: 48+13=61, Resulting Numbers: [17, 91, 61] Generated Node #2: [17, 91, 61] from Operation: 48+13=61 Current State: 47:[17, 91, 61], Operations: ['48+13=61'] Exploring Operation: 17+91=108, Resulting Numbers: [61, 108] Generated Node #3: [61, 108] from Operation: 17+91=108 Current State: 47:[61, 108], Operations: ['48+13=61', '17+91=108'] Exploring Operation: 108-61=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 22, 24, 5, 76 ]
25
[ "22+24=46", "76-5=71", "71-46=25" ]
Current State: 25:[22, 24, 5, 76], Operations: [] Exploring Operation: 22+24=46, Resulting Numbers: [5, 76, 46] Generated Node #2: [5, 76, 46] from Operation: 22+24=46 Current State: 25:[5, 76, 46], Operations: ['22+24=46'] Exploring Operation: 76-5=71, Resulting Numbers: [46, 71] Generated Node #3: [46, 71] from Operation: 76-5=71 Current State: 25:[46, 71], Operations: ['22+24=46', '76-5=71'] Exploring Operation: 71-46=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 96, 25, 15, 10 ]
100
[ "25+15=40", "40/10=4", "96+4=100" ]
Current State: 100:[96, 25, 15, 10], Operations: [] Exploring Operation: 25+15=40, Resulting Numbers: [96, 10, 40] Generated Node #2: [96, 10, 40] from Operation: 25+15=40 Current State: 100:[96, 10, 40], Operations: ['25+15=40'] Exploring Operation: 40/10=4, Resulting Numbers: [96, 4] Generated Node #3: [96, 4] from Operation: 40/10=4 Current State: 100:[96, 4], Operations: ['25+15=40', '40/10=4'] Exploring Operation: 96+4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 84, 42, 37, 56 ]
43
[ "56-42=14", "84/14=6", "37+6=43" ]
Current State: 43:[84, 42, 37, 56], Operations: [] Exploring Operation: 56-42=14, Resulting Numbers: [84, 37, 14] Generated Node #2: [84, 37, 14] from Operation: 56-42=14 Current State: 43:[84, 37, 14], Operations: ['56-42=14'] Exploring Operation: 84/14=6, Resulting Numbers: [37, 6] Generated Node #3: [37, 6] from Operation: 84/14=6 Current State: 43:[37, 6], Operations: ['56-42=14', '84/14=6'] Exploring Operation: 37+6=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 70, 4, 77, 35 ]
71
[ "70/35=2", "77-4=73", "73-2=71" ]
Current State: 71:[70, 4, 77, 35], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [4, 77, 2] Generated Node #2: [4, 77, 2] from Operation: 70/35=2 Current State: 71:[4, 77, 2], Operations: ['70/35=2'] Exploring Operation: 77-4=73, Resulting Numbers: [2, 73] Generated Node #3: [2, 73] from Operation: 77-4=73 Current State: 71:[2, 73], Operations: ['70/35=2', '77-4=73'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 38, 93, 2, 54 ]
23
[ "38+93=131", "2*54=108", "131-108=23" ]
Current State: 23:[38, 93, 2, 54], Operations: [] Exploring Operation: 38+93=131, Resulting Numbers: [2, 54, 131] Generated Node #2: [2, 54, 131] from Operation: 38+93=131 Current State: 23:[2, 54, 131], Operations: ['38+93=131'] Exploring Operation: 2*54=108, Resulting Numbers: [131, 108] Generated Node #3: [131, 108] from Operation: 2*54=108 Current State: 23:[131, 108], Operations: ['38+93=131', '2*54=108'] Exploring Operation: 131-108=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 8, 90, 84, 87 ]
16
[ "90+84=174", "8*174=1392", "1392/87=16" ]
Current State: 16:[8, 90, 84, 87], Operations: [] Exploring Operation: 90+84=174, Resulting Numbers: [8, 87, 174] Generated Node #2: [8, 87, 174] from Operation: 90+84=174 Current State: 16:[8, 87, 174], Operations: ['90+84=174'] Exploring Operation: 8*174=1392, Resulting Numbers: [87, 1392] Generated Node #3: [87, 1392] from Operation: 8*174=1392 Current State: 16:[87, 1392], Operations: ['90+84=174', '8*174=1392'] Exploring Operation: 1392/87=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 30, 55, 76, 86 ]
35
[ "55-30=25", "86-76=10", "25+10=35" ]
Current State: 35:[30, 55, 76, 86], Operations: [] Exploring Operation: 55-30=25, Resulting Numbers: [76, 86, 25] Generated Node #2: [76, 86, 25] from Operation: 55-30=25 Current State: 35:[76, 86, 25], Operations: ['55-30=25'] Exploring Operation: 86-76=10, Resulting Numbers: [25, 10] Generated Node #3: [25, 10] from Operation: 86-76=10 Current State: 35:[25, 10], Operations: ['55-30=25', '86-76=10'] Exploring Operation: 25+10=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 43, 36, 3, 4 ]
78
[ "43+36=79", "4-3=1", "79-1=78" ]
Current State: 78:[43, 36, 3, 4], Operations: [] Exploring Operation: 43+36=79, Resulting Numbers: [3, 4, 79] Generated Node #2: [3, 4, 79] from Operation: 43+36=79 Current State: 78:[3, 4, 79], Operations: ['43+36=79'] Exploring Operation: 4-3=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 4-3=1 Current State: 78:[79, 1], Operations: ['43+36=79', '4-3=1'] Exploring Operation: 79-1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 67, 44, 92, 91 ]
87
[ "67-44=23", "92/23=4", "91-4=87" ]
Current State: 87:[67, 44, 92, 91], Operations: [] Exploring Operation: 67-44=23, Resulting Numbers: [92, 91, 23] Generated Node #2: [92, 91, 23] from Operation: 67-44=23 Current State: 87:[92, 91, 23], Operations: ['67-44=23'] Exploring Operation: 92/23=4, Resulting Numbers: [91, 4] Generated Node #3: [91, 4] from Operation: 92/23=4 Current State: 87:[91, 4], Operations: ['67-44=23', '92/23=4'] Exploring Operation: 91-4=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 52, 5, 12, 9 ]
19
[ "52+5=57", "12-9=3", "57/3=19" ]
Current State: 19:[52, 5, 12, 9], Operations: [] Exploring Operation: 52+5=57, Resulting Numbers: [12, 9, 57] Generated Node #2: [12, 9, 57] from Operation: 52+5=57 Current State: 19:[12, 9, 57], Operations: ['52+5=57'] Exploring Operation: 12-9=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 12-9=3 Current State: 19:[57, 3], Operations: ['52+5=57', '12-9=3'] Exploring Operation: 57/3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 6, 24, 58, 40 ]
12
[ "6+24=30", "58-40=18", "30-18=12" ]
Current State: 12:[6, 24, 58, 40], Operations: [] Exploring Operation: 6+24=30, Resulting Numbers: [58, 40, 30] Generated Node #2: [58, 40, 30] from Operation: 6+24=30 Current State: 12:[58, 40, 30], Operations: ['6+24=30'] Exploring Operation: 58-40=18, Resulting Numbers: [30, 18] Generated Node #3: [30, 18] from Operation: 58-40=18 Current State: 12:[30, 18], Operations: ['6+24=30', '58-40=18'] Exploring Operation: 30-18=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 61, 85, 3, 21 ]
93
[ "85-61=24", "3*24=72", "21+72=93" ]
Current State: 93:[61, 85, 3, 21], Operations: [] Exploring Operation: 85-61=24, Resulting Numbers: [3, 21, 24] Generated Node #2: [3, 21, 24] from Operation: 85-61=24 Current State: 93:[3, 21, 24], Operations: ['85-61=24'] Exploring Operation: 3*24=72, Resulting Numbers: [21, 72] Generated Node #3: [21, 72] from Operation: 3*24=72 Current State: 93:[21, 72], Operations: ['85-61=24', '3*24=72'] Exploring Operation: 21+72=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 20, 31, 74, 13 ]
42
[ "20*31=620", "620-74=546", "546/13=42" ]
Current State: 42:[20, 31, 74, 13], Operations: [] Exploring Operation: 20*31=620, Resulting Numbers: [74, 13, 620] Generated Node #2: [74, 13, 620] from Operation: 20*31=620 Current State: 42:[74, 13, 620], Operations: ['20*31=620'] Exploring Operation: 620-74=546, Resulting Numbers: [13, 546] Generated Node #3: [13, 546] from Operation: 620-74=546 Current State: 42:[13, 546], Operations: ['20*31=620', '620-74=546'] Exploring Operation: 546/13=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 18, 28, 42, 30 ]
66
[ "30-28=2", "42*2=84", "84-18=66" ]
Current State: 66:[18, 28, 42, 30], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [18, 42, 2] Generated Node #2: [18, 42, 2] from Operation: 30-28=2 Current State: 66:[18, 42, 2], Operations: ['30-28=2'] Exploring Operation: 42*2=84, Resulting Numbers: [18, 84] Generated Node #3: [18, 84] from Operation: 42*2=84 Current State: 66:[18, 84], Operations: ['30-28=2', '42*2=84'] Exploring Operation: 84-18=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 81, 97, 1, 31 ]
47
[ "97-81=16", "1*31=31", "16+31=47" ]
Current State: 47:[81, 97, 1, 31], Operations: [] Exploring Operation: 97-81=16, Resulting Numbers: [1, 31, 16] Generated Node #2: [1, 31, 16] from Operation: 97-81=16 Current State: 47:[1, 31, 16], Operations: ['97-81=16'] Exploring Operation: 1*31=31, Resulting Numbers: [16, 31] Generated Node #3: [16, 31] from Operation: 1*31=31 Current State: 47:[16, 31], Operations: ['97-81=16', '1*31=31'] Exploring Operation: 16+31=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 24, 38, 15, 31 ]
78
[ "24+38=62", "31-15=16", "62+16=78" ]
Current State: 78:[24, 38, 15, 31], Operations: [] Exploring Operation: 24+38=62, Resulting Numbers: [15, 31, 62] Generated Node #2: [15, 31, 62] from Operation: 24+38=62 Current State: 78:[15, 31, 62], Operations: ['24+38=62'] Exploring Operation: 31-15=16, Resulting Numbers: [62, 16] Generated Node #3: [62, 16] from Operation: 31-15=16 Current State: 78:[62, 16], Operations: ['24+38=62', '31-15=16'] Exploring Operation: 62+16=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 46, 32, 54, 19 ]
15
[ "54-46=8", "32/8=4", "19-4=15" ]
Current State: 15:[46, 32, 54, 19], Operations: [] Exploring Operation: 54-46=8, Resulting Numbers: [32, 19, 8] Generated Node #2: [32, 19, 8] from Operation: 54-46=8 Current State: 15:[32, 19, 8], Operations: ['54-46=8'] Exploring Operation: 32/8=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 32/8=4 Current State: 15:[19, 4], Operations: ['54-46=8', '32/8=4'] Exploring Operation: 19-4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 62, 11, 74, 17 ]
71
[ "62-11=51", "51/17=3", "74-3=71" ]
Current State: 71:[62, 11, 74, 17], Operations: [] Exploring Operation: 62-11=51, Resulting Numbers: [74, 17, 51] Generated Node #2: [74, 17, 51] from Operation: 62-11=51 Current State: 71:[74, 17, 51], Operations: ['62-11=51'] Exploring Operation: 51/17=3, Resulting Numbers: [74, 3] Generated Node #3: [74, 3] from Operation: 51/17=3 Current State: 71:[74, 3], Operations: ['62-11=51', '51/17=3'] Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 72, 38, 90, 80 ]
16
[ "80-72=8", "38+90=128", "128/8=16" ]
Current State: 16:[72, 38, 90, 80], Operations: [] Exploring Operation: 80-72=8, Resulting Numbers: [38, 90, 8] Generated Node #2: [38, 90, 8] from Operation: 80-72=8 Current State: 16:[38, 90, 8], Operations: ['80-72=8'] Exploring Operation: 38+90=128, Resulting Numbers: [8, 128] Generated Node #3: [8, 128] from Operation: 38+90=128 Current State: 16:[8, 128], Operations: ['80-72=8', '38+90=128'] Exploring Operation: 128/8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 45, 24, 46, 72 ]
43
[ "45+24=69", "72-46=26", "69-26=43" ]
Current State: 43:[45, 24, 46, 72], Operations: [] Exploring Operation: 45+24=69, Resulting Numbers: [46, 72, 69] Generated Node #2: [46, 72, 69] from Operation: 45+24=69 Current State: 43:[46, 72, 69], Operations: ['45+24=69'] Exploring Operation: 72-46=26, Resulting Numbers: [69, 26] Generated Node #3: [69, 26] from Operation: 72-46=26 Current State: 43:[69, 26], Operations: ['45+24=69', '72-46=26'] Exploring Operation: 69-26=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 99, 96, 42, 86 ]
67
[ "99+96=195", "42+86=128", "195-128=67" ]
Current State: 67:[99, 96, 42, 86], Operations: [] Exploring Operation: 99+96=195, Resulting Numbers: [42, 86, 195] Generated Node #2: [42, 86, 195] from Operation: 99+96=195 Current State: 67:[42, 86, 195], Operations: ['99+96=195'] Exploring Operation: 42+86=128, Resulting Numbers: [195, 128] Generated Node #3: [195, 128] from Operation: 42+86=128 Current State: 67:[195, 128], Operations: ['99+96=195', '42+86=128'] Exploring Operation: 195-128=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 56, 91, 99, 48 ]
16
[ "91-56=35", "99-48=51", "51-35=16" ]
Current State: 16:[56, 91, 99, 48], Operations: [] Exploring Operation: 91-56=35, Resulting Numbers: [99, 48, 35] Generated Node #2: [99, 48, 35] from Operation: 91-56=35 Current State: 16:[99, 48, 35], Operations: ['91-56=35'] Exploring Operation: 99-48=51, Resulting Numbers: [35, 51] Generated Node #3: [35, 51] from Operation: 99-48=51 Current State: 16:[35, 51], Operations: ['91-56=35', '99-48=51'] Exploring Operation: 51-35=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 49, 46, 47, 11 ]
37
[ "49+46=95", "47+11=58", "95-58=37" ]
Current State: 37:[49, 46, 47, 11], Operations: [] Exploring Operation: 49+46=95, Resulting Numbers: [47, 11, 95] Generated Node #2: [47, 11, 95] from Operation: 49+46=95 Current State: 37:[47, 11, 95], Operations: ['49+46=95'] Exploring Operation: 47+11=58, Resulting Numbers: [95, 58] Generated Node #3: [95, 58] from Operation: 47+11=58 Current State: 37:[95, 58], Operations: ['49+46=95', '47+11=58'] Exploring Operation: 95-58=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 77, 36, 7, 14 ]
39
[ "77-36=41", "14/7=2", "41-2=39" ]
Current State: 39:[77, 36, 7, 14], Operations: [] Exploring Operation: 77-36=41, Resulting Numbers: [7, 14, 41] Generated Node #2: [7, 14, 41] from Operation: 77-36=41 Current State: 39:[7, 14, 41], Operations: ['77-36=41'] Exploring Operation: 14/7=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 14/7=2 Current State: 39:[41, 2], Operations: ['77-36=41', '14/7=2'] Exploring Operation: 41-2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 78, 50, 95, 4 ]
71
[ "78-50=28", "95+4=99", "99-28=71" ]
Current State: 71:[78, 50, 95, 4], Operations: [] Exploring Operation: 78-50=28, Resulting Numbers: [95, 4, 28] Generated Node #2: [95, 4, 28] from Operation: 78-50=28 Current State: 71:[95, 4, 28], Operations: ['78-50=28'] Exploring Operation: 95+4=99, Resulting Numbers: [28, 99] Generated Node #3: [28, 99] from Operation: 95+4=99 Current State: 71:[28, 99], Operations: ['78-50=28', '95+4=99'] Exploring Operation: 99-28=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 65, 13, 68, 39 ]
49
[ "65+13=78", "68-39=29", "78-29=49" ]
Current State: 49:[65, 13, 68, 39], Operations: [] Exploring Operation: 65+13=78, Resulting Numbers: [68, 39, 78] Generated Node #2: [68, 39, 78] from Operation: 65+13=78 Current State: 49:[68, 39, 78], Operations: ['65+13=78'] Exploring Operation: 68-39=29, Resulting Numbers: [78, 29] Generated Node #3: [78, 29] from Operation: 68-39=29 Current State: 49:[78, 29], Operations: ['65+13=78', '68-39=29'] Exploring Operation: 78-29=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 31, 82, 36, 55 ]
71
[ "36-31=5", "55/5=11", "82-11=71" ]
Current State: 71:[31, 82, 36, 55], Operations: [] Exploring Operation: 36-31=5, Resulting Numbers: [82, 55, 5] Generated Node #2: [82, 55, 5] from Operation: 36-31=5 Current State: 71:[82, 55, 5], Operations: ['36-31=5'] Exploring Operation: 55/5=11, Resulting Numbers: [82, 11] Generated Node #3: [82, 11] from Operation: 55/5=11 Current State: 71:[82, 11], Operations: ['36-31=5', '55/5=11'] Exploring Operation: 82-11=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 78, 3, 25, 32 ]
35
[ "78-3=75", "75/25=3", "32+3=35" ]
Current State: 35:[78, 3, 25, 32], Operations: [] Exploring Operation: 78-3=75, Resulting Numbers: [25, 32, 75] Generated Node #2: [25, 32, 75] from Operation: 78-3=75 Current State: 35:[25, 32, 75], Operations: ['78-3=75'] Exploring Operation: 75/25=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 75/25=3 Current State: 35:[32, 3], Operations: ['78-3=75', '75/25=3'] Exploring Operation: 32+3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 85, 63, 45, 81 ]
83
[ "45+81=126", "126/63=2", "85-2=83" ]
Current State: 83:[85, 63, 45, 81], Operations: [] Exploring Operation: 45+81=126, Resulting Numbers: [85, 63, 126] Generated Node #2: [85, 63, 126] from Operation: 45+81=126 Current State: 83:[85, 63, 126], Operations: ['45+81=126'] Exploring Operation: 126/63=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 126/63=2 Current State: 83:[85, 2], Operations: ['45+81=126', '126/63=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 45, 15, 60, 45 ]
65
[ "45/15=3", "60/3=20", "45+20=65" ]
Current State: 65:[45, 15, 60, 45], Operations: [] Exploring Operation: 45/15=3, Resulting Numbers: [60, 3] Generated Node #2: [60, 3] from Operation: 45/15=3 Current State: 65:[60, 3], Operations: ['45/15=3'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,65 equal: Goal Reached Exploring Operation: 45+20=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 84, 65, 22, 28 ]
90
[ "84/28=3", "65+22=87", "3+87=90" ]
Current State: 90:[84, 65, 22, 28], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [65, 22, 3] Generated Node #2: [65, 22, 3] from Operation: 84/28=3 Current State: 90:[65, 22, 3], Operations: ['84/28=3'] Exploring Operation: 65+22=87, Resulting Numbers: [3, 87] Generated Node #3: [3, 87] from Operation: 65+22=87 Current State: 90:[3, 87], Operations: ['84/28=3', '65+22=87'] Exploring Operation: 3+87=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 18, 55, 2, 27 ]
74
[ "55-27=28", "2*28=56", "18+56=74" ]
Current State: 74:[18, 55, 2, 27], Operations: [] Exploring Operation: 55-27=28, Resulting Numbers: [18, 2, 28] Generated Node #2: [18, 2, 28] from Operation: 55-27=28 Current State: 74:[18, 2, 28], Operations: ['55-27=28'] Exploring Operation: 2*28=56, Resulting Numbers: [18, 56] Generated Node #3: [18, 56] from Operation: 2*28=56 Current State: 74:[18, 56], Operations: ['55-27=28', '2*28=56'] Exploring Operation: 18+56=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 54, 49, 59, 50 ]
14
[ "54-49=5", "59-50=9", "5+9=14" ]
Current State: 14:[54, 49, 59, 50], Operations: [] Exploring Operation: 54-49=5, Resulting Numbers: [59, 50, 5] Generated Node #2: [59, 50, 5] from Operation: 54-49=5 Current State: 14:[59, 50, 5], Operations: ['54-49=5'] Exploring Operation: 59-50=9, Resulting Numbers: [5, 9] Generated Node #3: [5, 9] from Operation: 59-50=9 Current State: 14:[5, 9], Operations: ['54-49=5', '59-50=9'] Exploring Operation: 5+9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 38, 92, 6, 19 ]
84
[ "38/19=2", "92-6=86", "86-2=84" ]
Current State: 84:[38, 92, 6, 19], Operations: [] Exploring Operation: 38/19=2, Resulting Numbers: [92, 6, 2] Generated Node #2: [92, 6, 2] from Operation: 38/19=2 Current State: 84:[92, 6, 2], Operations: ['38/19=2'] Exploring Operation: 92-6=86, Resulting Numbers: [2, 86] Generated Node #3: [2, 86] from Operation: 92-6=86 Current State: 84:[2, 86], Operations: ['38/19=2', '92-6=86'] Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 3, 64, 25, 47 ]
88
[ "25+47=72", "72/3=24", "64+24=88" ]
Current State: 88:[3, 64, 25, 47], Operations: [] Exploring Operation: 25+47=72, Resulting Numbers: [3, 64, 72] Generated Node #2: [3, 64, 72] from Operation: 25+47=72 Current State: 88:[3, 64, 72], Operations: ['25+47=72'] Exploring Operation: 72/3=24, Resulting Numbers: [64, 24] Generated Node #3: [64, 24] from Operation: 72/3=24 Current State: 88:[64, 24], Operations: ['25+47=72', '72/3=24'] Exploring Operation: 64+24=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 40, 15, 26, 52 ]
81
[ "40+15=55", "52-26=26", "55+26=81" ]
Current State: 81:[40, 15, 26, 52], Operations: [] Exploring Operation: 40+15=55, Resulting Numbers: [26, 52, 55] Generated Node #2: [26, 52, 55] from Operation: 40+15=55 Current State: 81:[26, 52, 55], Operations: ['40+15=55'] Exploring Operation: 52-26=26, Resulting Numbers: [55, 26] Generated Node #3: [55, 26] from Operation: 52-26=26 Current State: 81:[55, 26], Operations: ['40+15=55', '52-26=26'] Exploring Operation: 55+26=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 96, 68, 3, 4 ]
56
[ "96+68=164", "4+164=168", "168/3=56" ]
Current State: 56:[96, 68, 3, 4], Operations: [] Exploring Operation: 96+68=164, Resulting Numbers: [3, 4, 164] Generated Node #2: [3, 4, 164] from Operation: 96+68=164 Current State: 56:[3, 4, 164], Operations: ['96+68=164'] Exploring Operation: 4+164=168, Resulting Numbers: [3, 168] Generated Node #3: [3, 168] from Operation: 4+164=168 Current State: 56:[3, 168], Operations: ['96+68=164', '4+164=168'] Exploring Operation: 168/3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 8, 3, 15, 72 ]
47
[ "8+15=23", "72/3=24", "23+24=47" ]
Current State: 47:[8, 3, 15, 72], Operations: [] Exploring Operation: 8+15=23, Resulting Numbers: [3, 72, 23] Generated Node #2: [3, 72, 23] from Operation: 8+15=23 Current State: 47:[3, 72, 23], Operations: ['8+15=23'] Exploring Operation: 72/3=24, Resulting Numbers: [23, 24] Generated Node #3: [23, 24] from Operation: 72/3=24 Current State: 47:[23, 24], Operations: ['8+15=23', '72/3=24'] Exploring Operation: 23+24=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 85, 95, 57, 11 ]
58
[ "95-85=10", "57+11=68", "68-10=58" ]
Current State: 58:[85, 95, 57, 11], Operations: [] Exploring Operation: 95-85=10, Resulting Numbers: [57, 11, 10] Generated Node #2: [57, 11, 10] from Operation: 95-85=10 Current State: 58:[57, 11, 10], Operations: ['95-85=10'] Exploring Operation: 57+11=68, Resulting Numbers: [10, 68] Generated Node #3: [10, 68] from Operation: 57+11=68 Current State: 58:[10, 68], Operations: ['95-85=10', '57+11=68'] Exploring Operation: 68-10=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 25, 75, 19, 37 ]
94
[ "75/25=3", "19*3=57", "37+57=94" ]
Current State: 94:[25, 75, 19, 37], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [19, 37, 3] Generated Node #2: [19, 37, 3] from Operation: 75/25=3 Current State: 94:[19, 37, 3], Operations: ['75/25=3'] Exploring Operation: 19*3=57, Resulting Numbers: [37, 57] Generated Node #3: [37, 57] from Operation: 19*3=57 Current State: 94:[37, 57], Operations: ['75/25=3', '19*3=57'] Exploring Operation: 37+57=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 10, 79, 46, 55 ]
18
[ "79+46=125", "55+125=180", "180/10=18" ]
Current State: 18:[10, 79, 46, 55], Operations: [] Exploring Operation: 79+46=125, Resulting Numbers: [10, 55, 125] Generated Node #2: [10, 55, 125] from Operation: 79+46=125 Current State: 18:[10, 55, 125], Operations: ['79+46=125'] Exploring Operation: 55+125=180, Resulting Numbers: [10, 180] Generated Node #3: [10, 180] from Operation: 55+125=180 Current State: 18:[10, 180], Operations: ['79+46=125', '55+125=180'] Exploring Operation: 180/10=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 67, 25, 94, 56 ]
80
[ "67-25=42", "94-56=38", "42+38=80" ]
Current State: 80:[67, 25, 94, 56], Operations: [] Exploring Operation: 67-25=42, Resulting Numbers: [94, 56, 42] Generated Node #2: [94, 56, 42] from Operation: 67-25=42 Current State: 80:[94, 56, 42], Operations: ['67-25=42'] Exploring Operation: 94-56=38, Resulting Numbers: [42, 38] Generated Node #3: [42, 38] from Operation: 94-56=38 Current State: 80:[42, 38], Operations: ['67-25=42', '94-56=38'] Exploring Operation: 42+38=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 20, 98, 35, 59 ]
16
[ "98-20=78", "35+59=94", "94-78=16" ]
Current State: 16:[20, 98, 35, 59], Operations: [] Exploring Operation: 98-20=78, Resulting Numbers: [35, 59, 78] Generated Node #2: [35, 59, 78] from Operation: 98-20=78 Current State: 16:[35, 59, 78], Operations: ['98-20=78'] Exploring Operation: 35+59=94, Resulting Numbers: [78, 94] Generated Node #3: [78, 94] from Operation: 35+59=94 Current State: 16:[78, 94], Operations: ['98-20=78', '35+59=94'] Exploring Operation: 94-78=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 15, 16, 3, 28 ]
53
[ "15+16=31", "3*28=84", "84-31=53" ]
Current State: 53:[15, 16, 3, 28], Operations: [] Exploring Operation: 15+16=31, Resulting Numbers: [3, 28, 31] Generated Node #2: [3, 28, 31] from Operation: 15+16=31 Current State: 53:[3, 28, 31], Operations: ['15+16=31'] Exploring Operation: 3*28=84, Resulting Numbers: [31, 84] Generated Node #3: [31, 84] from Operation: 3*28=84 Current State: 53:[31, 84], Operations: ['15+16=31', '3*28=84'] Exploring Operation: 84-31=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 68, 56, 34, 97 ]
43
[ "68/34=2", "97-56=41", "2+41=43" ]
Current State: 43:[68, 56, 34, 97], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [56, 97, 2] Generated Node #2: [56, 97, 2] from Operation: 68/34=2 Current State: 43:[56, 97, 2], Operations: ['68/34=2'] Exploring Operation: 97-56=41, Resulting Numbers: [2, 41] Generated Node #3: [2, 41] from Operation: 97-56=41 Current State: 43:[2, 41], Operations: ['68/34=2', '97-56=41'] Exploring Operation: 2+41=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 71, 23, 84, 95 ]
37
[ "71-23=48", "95-84=11", "48-11=37" ]
Current State: 37:[71, 23, 84, 95], Operations: [] Exploring Operation: 71-23=48, Resulting Numbers: [84, 95, 48] Generated Node #2: [84, 95, 48] from Operation: 71-23=48 Current State: 37:[84, 95, 48], Operations: ['71-23=48'] Exploring Operation: 95-84=11, Resulting Numbers: [48, 11] Generated Node #3: [48, 11] from Operation: 95-84=11 Current State: 37:[48, 11], Operations: ['71-23=48', '95-84=11'] Exploring Operation: 48-11=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 40, 49, 10, 39 ]
50
[ "40*49=1960", "1960-10=1950", "1950/39=50" ]
Current State: 50:[40, 49, 10, 39], Operations: [] Exploring Operation: 40*49=1960, Resulting Numbers: [10, 39, 1960] Generated Node #2: [10, 39, 1960] from Operation: 40*49=1960 Current State: 50:[10, 39, 1960], Operations: ['40*49=1960'] Exploring Operation: 1960-10=1950, Resulting Numbers: [39, 1950] Generated Node #3: [39, 1950] from Operation: 1960-10=1950 Current State: 50:[39, 1950], Operations: ['40*49=1960', '1960-10=1950'] Exploring Operation: 1950/39=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 85, 84, 37, 2 ]
35
[ "85-84=1", "37-2=35", "1*35=35" ]
Current State: 35:[85, 84, 37, 2], Operations: [] Exploring Operation: 85-84=1, Resulting Numbers: [37, 2, 1] Generated Node #2: [37, 2, 1] from Operation: 85-84=1 Current State: 35:[37, 2, 1], Operations: ['85-84=1'] Exploring Operation: 37-2=35, Resulting Numbers: [1, 35] Generated Node #3: [1, 35] from Operation: 37-2=35 Current State: 35:[1, 35], Operations: ['85-84=1', '37-2=35'] Exploring Operation: 1*35=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 52, 48, 66, 91 ]
57
[ "52+48=100", "66+91=157", "157-100=57" ]
Current State: 57:[52, 48, 66, 91], Operations: [] Exploring Operation: 52+48=100, Resulting Numbers: [66, 91, 100] Generated Node #2: [66, 91, 100] from Operation: 52+48=100 Current State: 57:[66, 91, 100], Operations: ['52+48=100'] Exploring Operation: 66+91=157, Resulting Numbers: [100, 157] Generated Node #3: [100, 157] from Operation: 66+91=157 Current State: 57:[100, 157], Operations: ['52+48=100', '66+91=157'] Exploring Operation: 157-100=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 80, 75, 14, 62 ]
80
[ "75-14=61", "62-61=1", "80*1=80" ]
Current State: 80:[80, 75, 14, 62], Operations: [] Exploring Operation: 75-14=61, Resulting Numbers: [80, 62, 61] Generated Node #2: [80, 62, 61] from Operation: 75-14=61 Current State: 80:[80, 62, 61], Operations: ['75-14=61'] Exploring Operation: 62-61=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 62-61=1 Current State: 80:[80, 1], Operations: ['75-14=61', '62-61=1'] Exploring Operation: 80*1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 30, 16, 3, 18 ]
25
[ "30+16=46", "3+18=21", "46-21=25" ]
Current State: 25:[30, 16, 3, 18], Operations: [] Exploring Operation: 30+16=46, Resulting Numbers: [3, 18, 46] Generated Node #2: [3, 18, 46] from Operation: 30+16=46 Current State: 25:[3, 18, 46], Operations: ['30+16=46'] Exploring Operation: 3+18=21, Resulting Numbers: [46, 21] Generated Node #3: [46, 21] from Operation: 3+18=21 Current State: 25:[46, 21], Operations: ['30+16=46', '3+18=21'] Exploring Operation: 46-21=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 94, 38, 40, 46 ]
70
[ "94+46=140", "40-38=2", "140/2=70" ]
Current State: 70:[94, 38, 40, 46], Operations: [] Exploring Operation: 94+46=140, Resulting Numbers: [38, 40, 140] Generated Node #2: [38, 40, 140] from Operation: 94+46=140 Current State: 70:[38, 40, 140], Operations: ['94+46=140'] Exploring Operation: 40-38=2, Resulting Numbers: [140, 2] Generated Node #3: [140, 2] from Operation: 40-38=2 Current State: 70:[140, 2], Operations: ['94+46=140', '40-38=2'] Exploring Operation: 140/2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 63, 79, 10, 84 ]
61
[ "84-79=5", "10/5=2", "63-2=61" ]
Current State: 61:[63, 79, 10, 84], Operations: [] Exploring Operation: 84-79=5, Resulting Numbers: [63, 10, 5] Generated Node #2: [63, 10, 5] from Operation: 84-79=5 Current State: 61:[63, 10, 5], Operations: ['84-79=5'] Exploring Operation: 10/5=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 10/5=2 Current State: 61:[63, 2], Operations: ['84-79=5', '10/5=2'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 75, 85, 74, 68 ]
16
[ "85-75=10", "74-68=6", "10+6=16" ]
Current State: 16:[75, 85, 74, 68], Operations: [] Exploring Operation: 85-75=10, Resulting Numbers: [74, 68, 10] Generated Node #2: [74, 68, 10] from Operation: 85-75=10 Current State: 16:[74, 68, 10], Operations: ['85-75=10'] Exploring Operation: 74-68=6, Resulting Numbers: [10, 6] Generated Node #3: [10, 6] from Operation: 74-68=6 Current State: 16:[10, 6], Operations: ['85-75=10', '74-68=6'] Exploring Operation: 10+6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 12, 45, 45, 10 ]
22
[ "12+45=57", "45-10=35", "57-35=22" ]
Current State: 22:[12, 45, 45, 10], Operations: [] Exploring Operation: 12+45=57, Resulting Numbers: [10, 57] Generated Node #2: [10, 57] from Operation: 12+45=57 Current State: 22:[10, 57], Operations: ['12+45=57'] Exploring Operation: 45-10=35, Resulting Numbers: [57, 35] Generated Node #3: [57, 35] from Operation: 45-10=35 Current State: 22:[57, 35], Operations: ['12+45=57', '45-10=35'] Exploring Operation: 57-35=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 11, 28, 52, 95 ]
55
[ "95-11=84", "84/28=3", "52+3=55" ]
Current State: 55:[11, 28, 52, 95], Operations: [] Exploring Operation: 95-11=84, Resulting Numbers: [28, 52, 84] Generated Node #2: [28, 52, 84] from Operation: 95-11=84 Current State: 55:[28, 52, 84], Operations: ['95-11=84'] Exploring Operation: 84/28=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 84/28=3 Current State: 55:[52, 3], Operations: ['95-11=84', '84/28=3'] Exploring Operation: 52+3=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 42, 22, 98, 88 ]
52
[ "98-42=56", "88/22=4", "56-4=52" ]
Current State: 52:[42, 22, 98, 88], Operations: [] Exploring Operation: 98-42=56, Resulting Numbers: [22, 88, 56] Generated Node #2: [22, 88, 56] from Operation: 98-42=56 Current State: 52:[22, 88, 56], Operations: ['98-42=56'] Exploring Operation: 88/22=4, Resulting Numbers: [56, 4] Generated Node #3: [56, 4] from Operation: 88/22=4 Current State: 52:[56, 4], Operations: ['98-42=56', '88/22=4'] Exploring Operation: 56-4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 10, 53, 43, 41 ]
96
[ "43-41=2", "53*2=106", "106-10=96" ]
Current State: 96:[10, 53, 43, 41], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [10, 53, 2] Generated Node #2: [10, 53, 2] from Operation: 43-41=2 Current State: 96:[10, 53, 2], Operations: ['43-41=2'] Exploring Operation: 53*2=106, Resulting Numbers: [10, 106] Generated Node #3: [10, 106] from Operation: 53*2=106 Current State: 96:[10, 106], Operations: ['43-41=2', '53*2=106'] Exploring Operation: 106-10=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 10, 31, 27, 31 ]
25
[ "31-10=21", "31-27=4", "21+4=25" ]
Current State: 25:[10, 31, 27, 31], Operations: [] Exploring Operation: 31-10=21, Resulting Numbers: [27, 21] Generated Node #2: [27, 21] from Operation: 31-10=21 Current State: 25:[27, 21], Operations: ['31-10=21'] Exploring Operation: 31-27=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 31-27=4 Current State: 25:[21, 4], Operations: ['31-10=21', '31-27=4'] Exploring Operation: 21+4=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 71, 3, 5, 54 ]
25
[ "71+3=74", "54-5=49", "74-49=25" ]
Current State: 25:[71, 3, 5, 54], Operations: [] Exploring Operation: 71+3=74, Resulting Numbers: [5, 54, 74] Generated Node #2: [5, 54, 74] from Operation: 71+3=74 Current State: 25:[5, 54, 74], Operations: ['71+3=74'] Exploring Operation: 54-5=49, Resulting Numbers: [74, 49] Generated Node #3: [74, 49] from Operation: 54-5=49 Current State: 25:[74, 49], Operations: ['71+3=74', '54-5=49'] Exploring Operation: 74-49=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 20, 59, 34, 74 ]
69
[ "59-20=39", "34+74=108", "108-39=69" ]
Current State: 69:[20, 59, 34, 74], Operations: [] Exploring Operation: 59-20=39, Resulting Numbers: [34, 74, 39] Generated Node #2: [34, 74, 39] from Operation: 59-20=39 Current State: 69:[34, 74, 39], Operations: ['59-20=39'] Exploring Operation: 34+74=108, Resulting Numbers: [39, 108] Generated Node #3: [39, 108] from Operation: 34+74=108 Current State: 69:[39, 108], Operations: ['59-20=39', '34+74=108'] Exploring Operation: 108-39=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 6, 20, 89, 10 ]
29
[ "20-10=10", "6*10=60", "89-60=29" ]
Current State: 29:[6, 20, 89, 10], Operations: [] Exploring Operation: 20-10=10, Resulting Numbers: [6, 89, 10] Generated Node #2: [6, 89, 10] from Operation: 20-10=10 Current State: 29:[6, 89, 10], Operations: ['20-10=10'] Exploring Operation: 6*10=60, Resulting Numbers: [89, 60] Generated Node #3: [89, 60] from Operation: 6*10=60 Current State: 29:[89, 60], Operations: ['20-10=10', '6*10=60'] Exploring Operation: 89-60=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 17, 75, 36, 34 ]
22
[ "17+75=92", "36+34=70", "92-70=22" ]
Current State: 22:[17, 75, 36, 34], Operations: [] Exploring Operation: 17+75=92, Resulting Numbers: [36, 34, 92] Generated Node #2: [36, 34, 92] from Operation: 17+75=92 Current State: 22:[36, 34, 92], Operations: ['17+75=92'] Exploring Operation: 36+34=70, Resulting Numbers: [92, 70] Generated Node #3: [92, 70] from Operation: 36+34=70 Current State: 22:[92, 70], Operations: ['17+75=92', '36+34=70'] Exploring Operation: 92-70=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 7, 6, 71, 32 ]
12
[ "71-7=64", "6*64=384", "384/32=12" ]
Current State: 12:[7, 6, 71, 32], Operations: [] Exploring Operation: 71-7=64, Resulting Numbers: [6, 32, 64] Generated Node #2: [6, 32, 64] from Operation: 71-7=64 Current State: 12:[6, 32, 64], Operations: ['71-7=64'] Exploring Operation: 6*64=384, Resulting Numbers: [32, 384] Generated Node #3: [32, 384] from Operation: 6*64=384 Current State: 12:[32, 384], Operations: ['71-7=64', '6*64=384'] Exploring Operation: 384/32=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 6, 31, 84, 30 ]
50
[ "84+30=114", "114/6=19", "31+19=50" ]
Current State: 50:[6, 31, 84, 30], Operations: [] Exploring Operation: 84+30=114, Resulting Numbers: [6, 31, 114] Generated Node #2: [6, 31, 114] from Operation: 84+30=114 Current State: 50:[6, 31, 114], Operations: ['84+30=114'] Exploring Operation: 114/6=19, Resulting Numbers: [31, 19] Generated Node #3: [31, 19] from Operation: 114/6=19 Current State: 50:[31, 19], Operations: ['84+30=114', '114/6=19'] Exploring Operation: 31+19=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 74, 4, 27, 13 ]
49
[ "74+27=101", "4*13=52", "101-52=49" ]
Current State: 49:[74, 4, 27, 13], Operations: [] Exploring Operation: 74+27=101, Resulting Numbers: [4, 13, 101] Generated Node #2: [4, 13, 101] from Operation: 74+27=101 Current State: 49:[4, 13, 101], Operations: ['74+27=101'] Exploring Operation: 4*13=52, Resulting Numbers: [101, 52] Generated Node #3: [101, 52] from Operation: 4*13=52 Current State: 49:[101, 52], Operations: ['74+27=101', '4*13=52'] Exploring Operation: 101-52=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 44, 61, 16, 69 ]
20
[ "44+61=105", "16+69=85", "105-85=20" ]
Current State: 20:[44, 61, 16, 69], Operations: [] Exploring Operation: 44+61=105, Resulting Numbers: [16, 69, 105] Generated Node #2: [16, 69, 105] from Operation: 44+61=105 Current State: 20:[16, 69, 105], Operations: ['44+61=105'] Exploring Operation: 16+69=85, Resulting Numbers: [105, 85] Generated Node #3: [105, 85] from Operation: 16+69=85 Current State: 20:[105, 85], Operations: ['44+61=105', '16+69=85'] Exploring Operation: 105-85=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 23, 22, 89, 29 ]
32
[ "89-23=66", "66/22=3", "29+3=32" ]
Current State: 32:[23, 22, 89, 29], Operations: [] Exploring Operation: 89-23=66, Resulting Numbers: [22, 29, 66] Generated Node #2: [22, 29, 66] from Operation: 89-23=66 Current State: 32:[22, 29, 66], Operations: ['89-23=66'] Exploring Operation: 66/22=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 66/22=3 Current State: 32:[29, 3], Operations: ['89-23=66', '66/22=3'] Exploring Operation: 29+3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 29, 31, 36, 25 ]
14
[ "31-29=2", "25*2=50", "50-36=14" ]
Current State: 14:[29, 31, 36, 25], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [36, 25, 2] Generated Node #2: [36, 25, 2] from Operation: 31-29=2 Current State: 14:[36, 25, 2], Operations: ['31-29=2'] Exploring Operation: 25*2=50, Resulting Numbers: [36, 50] Generated Node #3: [36, 50] from Operation: 25*2=50 Current State: 14:[36, 50], Operations: ['31-29=2', '25*2=50'] Exploring Operation: 50-36=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 63, 79, 77, 67 ]
71
[ "79-77=2", "67*2=134", "134-63=71" ]
Current State: 71:[63, 79, 77, 67], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [63, 67, 2] Generated Node #2: [63, 67, 2] from Operation: 79-77=2 Current State: 71:[63, 67, 2], Operations: ['79-77=2'] Exploring Operation: 67*2=134, Resulting Numbers: [63, 134] Generated Node #3: [63, 134] from Operation: 67*2=134 Current State: 71:[63, 134], Operations: ['79-77=2', '67*2=134'] Exploring Operation: 134-63=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 31, 48, 30, 12 ]
62
[ "48+12=60", "31*60=1860", "1860/30=62" ]
Current State: 62:[31, 48, 30, 12], Operations: [] Exploring Operation: 48+12=60, Resulting Numbers: [31, 30, 60] Generated Node #2: [31, 30, 60] from Operation: 48+12=60 Current State: 62:[31, 30, 60], Operations: ['48+12=60'] Exploring Operation: 31*60=1860, Resulting Numbers: [30, 1860] Generated Node #3: [30, 1860] from Operation: 31*60=1860 Current State: 62:[30, 1860], Operations: ['48+12=60', '31*60=1860'] Exploring Operation: 1860/30=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 38, 7, 22, 13 ]
31
[ "38+22=60", "7*13=91", "91-60=31" ]
Current State: 31:[38, 7, 22, 13], Operations: [] Exploring Operation: 38+22=60, Resulting Numbers: [7, 13, 60] Generated Node #2: [7, 13, 60] from Operation: 38+22=60 Current State: 31:[7, 13, 60], Operations: ['38+22=60'] Exploring Operation: 7*13=91, Resulting Numbers: [60, 91] Generated Node #3: [60, 91] from Operation: 7*13=91 Current State: 31:[60, 91], Operations: ['38+22=60', '7*13=91'] Exploring Operation: 91-60=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 6, 26, 16, 36 ]
72
[ "6+26=32", "32/16=2", "36*2=72" ]
Current State: 72:[6, 26, 16, 36], Operations: [] Exploring Operation: 6+26=32, Resulting Numbers: [16, 36, 32] Generated Node #2: [16, 36, 32] from Operation: 6+26=32 Current State: 72:[16, 36, 32], Operations: ['6+26=32'] Exploring Operation: 32/16=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 32/16=2 Current State: 72:[36, 2], Operations: ['6+26=32', '32/16=2'] Exploring Operation: 36*2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 32, 62, 38, 86 ]
34
[ "38+86=124", "124/62=2", "32+2=34" ]
Current State: 34:[32, 62, 38, 86], Operations: [] Exploring Operation: 38+86=124, Resulting Numbers: [32, 62, 124] Generated Node #2: [32, 62, 124] from Operation: 38+86=124 Current State: 34:[32, 62, 124], Operations: ['38+86=124'] Exploring Operation: 124/62=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 124/62=2 Current State: 34:[32, 2], Operations: ['38+86=124', '124/62=2'] Exploring Operation: 32+2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 50, 57, 82, 91 ]
63
[ "57-50=7", "91-82=9", "7*9=63" ]
Current State: 63:[50, 57, 82, 91], Operations: [] Exploring Operation: 57-50=7, Resulting Numbers: [82, 91, 7] Generated Node #2: [82, 91, 7] from Operation: 57-50=7 Current State: 63:[82, 91, 7], Operations: ['57-50=7'] Exploring Operation: 91-82=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 91-82=9 Current State: 63:[7, 9], Operations: ['57-50=7', '91-82=9'] Exploring Operation: 7*9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 80, 51, 58, 53 ]
35
[ "58-53=5", "80/5=16", "51-16=35" ]
Current State: 35:[80, 51, 58, 53], Operations: [] Exploring Operation: 58-53=5, Resulting Numbers: [80, 51, 5] Generated Node #2: [80, 51, 5] from Operation: 58-53=5 Current State: 35:[80, 51, 5], Operations: ['58-53=5'] Exploring Operation: 80/5=16, Resulting Numbers: [51, 16] Generated Node #3: [51, 16] from Operation: 80/5=16 Current State: 35:[51, 16], Operations: ['58-53=5', '80/5=16'] Exploring Operation: 51-16=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 6, 62, 91, 65 ]
73
[ "65-62=3", "6*3=18", "91-18=73" ]
Current State: 73:[6, 62, 91, 65], Operations: [] Exploring Operation: 65-62=3, Resulting Numbers: [6, 91, 3] Generated Node #2: [6, 91, 3] from Operation: 65-62=3 Current State: 73:[6, 91, 3], Operations: ['65-62=3'] Exploring Operation: 6*3=18, Resulting Numbers: [91, 18] Generated Node #3: [91, 18] from Operation: 6*3=18 Current State: 73:[91, 18], Operations: ['65-62=3', '6*3=18'] Exploring Operation: 91-18=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 78, 76, 67, 75 ]
27
[ "78-75=3", "76-67=9", "3*9=27" ]
Current State: 27:[78, 76, 67, 75], Operations: [] Exploring Operation: 78-75=3, Resulting Numbers: [76, 67, 3] Generated Node #2: [76, 67, 3] from Operation: 78-75=3 Current State: 27:[76, 67, 3], Operations: ['78-75=3'] Exploring Operation: 76-67=9, Resulting Numbers: [3, 9] Generated Node #3: [3, 9] from Operation: 76-67=9 Current State: 27:[3, 9], Operations: ['78-75=3', '76-67=9'] Exploring Operation: 3*9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 28, 26, 73, 52 ]
99
[ "28-26=2", "52/2=26", "73+26=99" ]
Current State: 99:[28, 26, 73, 52], Operations: [] Exploring Operation: 28-26=2, Resulting Numbers: [73, 52, 2] Generated Node #2: [73, 52, 2] from Operation: 28-26=2 Current State: 99:[73, 52, 2], Operations: ['28-26=2'] Exploring Operation: 52/2=26, Resulting Numbers: [73, 26] Generated Node #3: [73, 26] from Operation: 52/2=26 Current State: 99:[73, 26], Operations: ['28-26=2', '52/2=26'] Exploring Operation: 73+26=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 90, 60, 27, 99 ]
67
[ "90+99=189", "189/27=7", "60+7=67" ]
Current State: 67:[90, 60, 27, 99], Operations: [] Exploring Operation: 90+99=189, Resulting Numbers: [60, 27, 189] Generated Node #2: [60, 27, 189] from Operation: 90+99=189 Current State: 67:[60, 27, 189], Operations: ['90+99=189'] Exploring Operation: 189/27=7, Resulting Numbers: [60, 7] Generated Node #3: [60, 7] from Operation: 189/27=7 Current State: 67:[60, 7], Operations: ['90+99=189', '189/27=7'] Exploring Operation: 60+7=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4