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
[ 72, 3, 90, 23 ]
91
[ "72/3=24", "90-23=67", "24+67=91" ]
Current State: 91:[72, 3, 90, 23], Operations: [] Exploring Operation: 72/3=24, Resulting Numbers: [90, 23, 24] Generated Node #2: [90, 23, 24] from Operation: 72/3=24 Current State: 91:[90, 23, 24], Operations: ['72/3=24'] Exploring Operation: 90-23=67, Resulting Numbers: [24, 67] Generated Node #3: [24, 67] from Operation: 90-23=67 Current State: 91:[24, 67], Operations: ['72/3=24', '90-23=67'] Exploring Operation: 24+67=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 7, 98, 65, 35 ]
44
[ "98/7=14", "65-35=30", "14+30=44" ]
Current State: 44:[7, 98, 65, 35], Operations: [] Exploring Operation: 98/7=14, Resulting Numbers: [65, 35, 14] Generated Node #2: [65, 35, 14] from Operation: 98/7=14 Current State: 44:[65, 35, 14], Operations: ['98/7=14'] Exploring Operation: 65-35=30, Resulting Numbers: [14, 30] Generated Node #3: [14, 30] from Operation: 65-35=30 Current State: 44:[14, 30], Operations: ['98/7=14', '65-35=30'] Exploring Operation: 14+30=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 73, 24, 54, 57 ]
52
[ "73-24=49", "57-54=3", "49+3=52" ]
Current State: 52:[73, 24, 54, 57], Operations: [] Exploring Operation: 73-24=49, Resulting Numbers: [54, 57, 49] Generated Node #2: [54, 57, 49] from Operation: 73-24=49 Current State: 52:[54, 57, 49], Operations: ['73-24=49'] Exploring Operation: 57-54=3, Resulting Numbers: [49, 3] Generated Node #3: [49, 3] from Operation: 57-54=3 Current State: 52:[49, 3], Operations: ['73-24=49', '57-54=3'] Exploring Operation: 49+3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 24, 53, 19, 55 ]
67
[ "55-53=2", "24*2=48", "19+48=67" ]
Current State: 67:[24, 53, 19, 55], Operations: [] Exploring Operation: 55-53=2, Resulting Numbers: [24, 19, 2] Generated Node #2: [24, 19, 2] from Operation: 55-53=2 Current State: 67:[24, 19, 2], Operations: ['55-53=2'] Exploring Operation: 24*2=48, Resulting Numbers: [19, 48] Generated Node #3: [19, 48] from Operation: 24*2=48 Current State: 67:[19, 48], Operations: ['55-53=2', '24*2=48'] Exploring Operation: 19+48=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 32, 76, 93, 36 ]
31
[ "32+76=108", "93*36=3348", "3348/108=31" ]
Current State: 31:[32, 76, 93, 36], Operations: [] Exploring Operation: 32+76=108, Resulting Numbers: [93, 36, 108] Generated Node #2: [93, 36, 108] from Operation: 32+76=108 Current State: 31:[93, 36, 108], Operations: ['32+76=108'] Exploring Operation: 93*36=3348, Resulting Numbers: [108, 3348] Generated Node #3: [108, 3348] from Operation: 93*36=3348 Current State: 31:[108, 3348], Operations: ['32+76=108', '93*36=3348'] Exploring Operation: 3348/108=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 78, 61, 25, 86 ]
28
[ "78+61=139", "25+86=111", "139-111=28" ]
Current State: 28:[78, 61, 25, 86], Operations: [] Exploring Operation: 78+61=139, Resulting Numbers: [25, 86, 139] Generated Node #2: [25, 86, 139] from Operation: 78+61=139 Current State: 28:[25, 86, 139], Operations: ['78+61=139'] Exploring Operation: 25+86=111, Resulting Numbers: [139, 111] Generated Node #3: [139, 111] from Operation: 25+86=111 Current State: 28:[139, 111], Operations: ['78+61=139', '25+86=111'] Exploring Operation: 139-111=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 81, 90, 60, 10 ]
79
[ "90-81=9", "60+10=70", "9+70=79" ]
Current State: 79:[81, 90, 60, 10], Operations: [] Exploring Operation: 90-81=9, Resulting Numbers: [60, 10, 9] Generated Node #2: [60, 10, 9] from Operation: 90-81=9 Current State: 79:[60, 10, 9], Operations: ['90-81=9'] Exploring Operation: 60+10=70, Resulting Numbers: [9, 70] Generated Node #3: [9, 70] from Operation: 60+10=70 Current State: 79:[9, 70], Operations: ['90-81=9', '60+10=70'] Exploring Operation: 9+70=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 6, 15, 5, 95 ]
36
[ "95-5=90", "6*90=540", "540/15=36" ]
Current State: 36:[6, 15, 5, 95], Operations: [] Exploring Operation: 95-5=90, Resulting Numbers: [6, 15, 90] Generated Node #2: [6, 15, 90] from Operation: 95-5=90 Current State: 36:[6, 15, 90], Operations: ['95-5=90'] Exploring Operation: 6*90=540, Resulting Numbers: [15, 540] Generated Node #3: [15, 540] from Operation: 6*90=540 Current State: 36:[15, 540], Operations: ['95-5=90', '6*90=540'] Exploring Operation: 540/15=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 4, 62, 93, 8 ]
19
[ "4+62=66", "93-8=85", "85-66=19" ]
Current State: 19:[4, 62, 93, 8], Operations: [] Exploring Operation: 4+62=66, Resulting Numbers: [93, 8, 66] Generated Node #2: [93, 8, 66] from Operation: 4+62=66 Current State: 19:[93, 8, 66], Operations: ['4+62=66'] Exploring Operation: 93-8=85, Resulting Numbers: [66, 85] Generated Node #3: [66, 85] from Operation: 93-8=85 Current State: 19:[66, 85], Operations: ['4+62=66', '93-8=85'] Exploring Operation: 85-66=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 57, 40, 64, 8 ]
25
[ "57+40=97", "64+8=72", "97-72=25" ]
Current State: 25:[57, 40, 64, 8], Operations: [] Exploring Operation: 57+40=97, Resulting Numbers: [64, 8, 97] Generated Node #2: [64, 8, 97] from Operation: 57+40=97 Current State: 25:[64, 8, 97], Operations: ['57+40=97'] Exploring Operation: 64+8=72, Resulting Numbers: [97, 72] Generated Node #3: [97, 72] from Operation: 64+8=72 Current State: 25:[97, 72], Operations: ['57+40=97', '64+8=72'] Exploring Operation: 97-72=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 54, 80, 45, 42 ]
87
[ "80*45=3600", "54+3600=3654", "3654/42=87" ]
Current State: 87:[54, 80, 45, 42], Operations: [] Exploring Operation: 80*45=3600, Resulting Numbers: [54, 42, 3600] Generated Node #2: [54, 42, 3600] from Operation: 80*45=3600 Current State: 87:[54, 42, 3600], Operations: ['80*45=3600'] Exploring Operation: 54+3600=3654, Resulting Numbers: [42, 3654] Generated Node #3: [42, 3654] from Operation: 54+3600=3654 Current State: 87:[42, 3654], Operations: ['80*45=3600', '54+3600=3654'] Exploring Operation: 3654/42=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 15, 23, 28, 3 ]
92
[ "23-15=8", "28*3=84", "8+84=92" ]
Current State: 92:[15, 23, 28, 3], Operations: [] Exploring Operation: 23-15=8, Resulting Numbers: [28, 3, 8] Generated Node #2: [28, 3, 8] from Operation: 23-15=8 Current State: 92:[28, 3, 8], Operations: ['23-15=8'] Exploring Operation: 28*3=84, Resulting Numbers: [8, 84] Generated Node #3: [8, 84] from Operation: 28*3=84 Current State: 92:[8, 84], Operations: ['23-15=8', '28*3=84'] Exploring Operation: 8+84=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 38, 75, 16, 14 ]
50
[ "38-14=24", "75*16=1200", "1200/24=50" ]
Current State: 50:[38, 75, 16, 14], Operations: [] Exploring Operation: 38-14=24, Resulting Numbers: [75, 16, 24] Generated Node #2: [75, 16, 24] from Operation: 38-14=24 Current State: 50:[75, 16, 24], Operations: ['38-14=24'] Exploring Operation: 75*16=1200, Resulting Numbers: [24, 1200] Generated Node #3: [24, 1200] from Operation: 75*16=1200 Current State: 50:[24, 1200], Operations: ['38-14=24', '75*16=1200'] Exploring Operation: 1200/24=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 35, 4, 66, 16 ]
33
[ "66-35=31", "4*16=64", "64-31=33" ]
Current State: 33:[35, 4, 66, 16], Operations: [] Exploring Operation: 66-35=31, Resulting Numbers: [4, 16, 31] Generated Node #2: [4, 16, 31] from Operation: 66-35=31 Current State: 33:[4, 16, 31], Operations: ['66-35=31'] Exploring Operation: 4*16=64, Resulting Numbers: [31, 64] Generated Node #3: [31, 64] from Operation: 4*16=64 Current State: 33:[31, 64], Operations: ['66-35=31', '4*16=64'] Exploring Operation: 64-31=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 71, 16, 52, 63 ]
54
[ "71-63=8", "16/8=2", "52+2=54" ]
Current State: 54:[71, 16, 52, 63], Operations: [] Exploring Operation: 71-63=8, Resulting Numbers: [16, 52, 8] Generated Node #2: [16, 52, 8] from Operation: 71-63=8 Current State: 54:[16, 52, 8], Operations: ['71-63=8'] Exploring Operation: 16/8=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 16/8=2 Current State: 54:[52, 2], Operations: ['71-63=8', '16/8=2'] Exploring Operation: 52+2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 75, 22, 25, 2 ]
30
[ "75-22=53", "25-2=23", "53-23=30" ]
Current State: 30:[75, 22, 25, 2], Operations: [] Exploring Operation: 75-22=53, Resulting Numbers: [25, 2, 53] Generated Node #2: [25, 2, 53] from Operation: 75-22=53 Current State: 30:[25, 2, 53], Operations: ['75-22=53'] Exploring Operation: 25-2=23, Resulting Numbers: [53, 23] Generated Node #3: [53, 23] from Operation: 25-2=23 Current State: 30:[53, 23], Operations: ['75-22=53', '25-2=23'] Exploring Operation: 53-23=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 6, 22, 22, 70 ]
63
[ "70-6=64", "22/22=1", "64-1=63" ]
Current State: 63:[6, 22, 22, 70], Operations: [] Exploring Operation: 70-6=64, Resulting Numbers: [22, 22, 64] Generated Node #2: [22, 22, 64] from Operation: 70-6=64 Current State: 63:[22, 22, 64], Operations: ['70-6=64'] Exploring Operation: 22/22=1, Resulting Numbers: [64, 1] Generated Node #3: [64, 1] from Operation: 22/22=1 Current State: 63:[64, 1], Operations: ['70-6=64', '22/22=1'] Exploring Operation: 64-1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 22, 37, 28, 2 ]
12
[ "22+28=50", "50/2=25", "37-25=12" ]
Current State: 12:[22, 37, 28, 2], Operations: [] Exploring Operation: 22+28=50, Resulting Numbers: [37, 2, 50] Generated Node #2: [37, 2, 50] from Operation: 22+28=50 Current State: 12:[37, 2, 50], Operations: ['22+28=50'] Exploring Operation: 50/2=25, Resulting Numbers: [37, 25] Generated Node #3: [37, 25] from Operation: 50/2=25 Current State: 12:[37, 25], Operations: ['22+28=50', '50/2=25'] Exploring Operation: 37-25=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 98, 43, 54, 97 ]
12
[ "98-43=55", "97-54=43", "55-43=12" ]
Current State: 12:[98, 43, 54, 97], Operations: [] Exploring Operation: 98-43=55, Resulting Numbers: [54, 97, 55] Generated Node #2: [54, 97, 55] from Operation: 98-43=55 Current State: 12:[54, 97, 55], Operations: ['98-43=55'] Exploring Operation: 97-54=43, Resulting Numbers: [55, 43] Generated Node #3: [55, 43] from Operation: 97-54=43 Current State: 12:[55, 43], Operations: ['98-43=55', '97-54=43'] Exploring Operation: 55-43=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 91, 52, 41, 25 ]
55
[ "91-52=39", "41-25=16", "39+16=55" ]
Current State: 55:[91, 52, 41, 25], Operations: [] Exploring Operation: 91-52=39, Resulting Numbers: [41, 25, 39] Generated Node #2: [41, 25, 39] from Operation: 91-52=39 Current State: 55:[41, 25, 39], Operations: ['91-52=39'] Exploring Operation: 41-25=16, Resulting Numbers: [39, 16] Generated Node #3: [39, 16] from Operation: 41-25=16 Current State: 55:[39, 16], Operations: ['91-52=39', '41-25=16'] Exploring Operation: 39+16=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 81, 8, 50, 63 ]
24
[ "81+8=89", "50+63=113", "113-89=24" ]
Current State: 24:[81, 8, 50, 63], Operations: [] Exploring Operation: 81+8=89, Resulting Numbers: [50, 63, 89] Generated Node #2: [50, 63, 89] from Operation: 81+8=89 Current State: 24:[50, 63, 89], Operations: ['81+8=89'] Exploring Operation: 50+63=113, Resulting Numbers: [89, 113] Generated Node #3: [89, 113] from Operation: 50+63=113 Current State: 24:[89, 113], Operations: ['81+8=89', '50+63=113'] Exploring Operation: 113-89=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 81, 84, 24, 42 ]
21
[ "84-81=3", "42-24=18", "3+18=21" ]
Current State: 21:[81, 84, 24, 42], Operations: [] Exploring Operation: 84-81=3, Resulting Numbers: [24, 42, 3] Generated Node #2: [24, 42, 3] from Operation: 84-81=3 Current State: 21:[24, 42, 3], Operations: ['84-81=3'] Exploring Operation: 42-24=18, Resulting Numbers: [3, 18] Generated Node #3: [3, 18] from Operation: 42-24=18 Current State: 21:[3, 18], Operations: ['84-81=3', '42-24=18'] Exploring Operation: 3+18=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 82, 80, 93, 74 ]
14
[ "93-82=11", "80+74=154", "154/11=14" ]
Current State: 14:[82, 80, 93, 74], Operations: [] Exploring Operation: 93-82=11, Resulting Numbers: [80, 74, 11] Generated Node #2: [80, 74, 11] from Operation: 93-82=11 Current State: 14:[80, 74, 11], Operations: ['93-82=11'] Exploring Operation: 80+74=154, Resulting Numbers: [11, 154] Generated Node #3: [11, 154] from Operation: 80+74=154 Current State: 14:[11, 154], Operations: ['93-82=11', '80+74=154'] Exploring Operation: 154/11=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 18, 17, 68, 97 ]
30
[ "18-17=1", "97-68=29", "1+29=30" ]
Current State: 30:[18, 17, 68, 97], Operations: [] Exploring Operation: 18-17=1, Resulting Numbers: [68, 97, 1] Generated Node #2: [68, 97, 1] from Operation: 18-17=1 Current State: 30:[68, 97, 1], Operations: ['18-17=1'] Exploring Operation: 97-68=29, Resulting Numbers: [1, 29] Generated Node #3: [1, 29] from Operation: 97-68=29 Current State: 30:[1, 29], Operations: ['18-17=1', '97-68=29'] Exploring Operation: 1+29=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 31, 17, 40, 42 ]
35
[ "31+17=48", "40*42=1680", "1680/48=35" ]
Current State: 35:[31, 17, 40, 42], Operations: [] Exploring Operation: 31+17=48, Resulting Numbers: [40, 42, 48] Generated Node #2: [40, 42, 48] from Operation: 31+17=48 Current State: 35:[40, 42, 48], Operations: ['31+17=48'] Exploring Operation: 40*42=1680, Resulting Numbers: [48, 1680] Generated Node #3: [48, 1680] from Operation: 40*42=1680 Current State: 35:[48, 1680], Operations: ['31+17=48', '40*42=1680'] Exploring Operation: 1680/48=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 56, 20, 30, 12 ]
23
[ "20-12=8", "56/8=7", "30-7=23" ]
Current State: 23:[56, 20, 30, 12], Operations: [] Exploring Operation: 20-12=8, Resulting Numbers: [56, 30, 8] Generated Node #2: [56, 30, 8] from Operation: 20-12=8 Current State: 23:[56, 30, 8], Operations: ['20-12=8'] Exploring Operation: 56/8=7, Resulting Numbers: [30, 7] Generated Node #3: [30, 7] from Operation: 56/8=7 Current State: 23:[30, 7], Operations: ['20-12=8', '56/8=7'] Exploring Operation: 30-7=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 88, 90, 44, 26 ]
48
[ "90-88=2", "44/2=22", "26+22=48" ]
Current State: 48:[88, 90, 44, 26], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [44, 26, 2] Generated Node #2: [44, 26, 2] from Operation: 90-88=2 Current State: 48:[44, 26, 2], Operations: ['90-88=2'] Exploring Operation: 44/2=22, Resulting Numbers: [26, 22] Generated Node #3: [26, 22] from Operation: 44/2=22 Current State: 48:[26, 22], Operations: ['90-88=2', '44/2=22'] Exploring Operation: 26+22=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 69, 96, 57, 18 ]
71
[ "96+18=114", "114/57=2", "69+2=71" ]
Current State: 71:[69, 96, 57, 18], Operations: [] Exploring Operation: 96+18=114, Resulting Numbers: [69, 57, 114] Generated Node #2: [69, 57, 114] from Operation: 96+18=114 Current State: 71:[69, 57, 114], Operations: ['96+18=114'] Exploring Operation: 114/57=2, Resulting Numbers: [69, 2] Generated Node #3: [69, 2] from Operation: 114/57=2 Current State: 71:[69, 2], Operations: ['96+18=114', '114/57=2'] Exploring Operation: 69+2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 98, 95, 63, 11 ]
32
[ "98-95=3", "63/3=21", "11+21=32" ]
Current State: 32:[98, 95, 63, 11], Operations: [] Exploring Operation: 98-95=3, Resulting Numbers: [63, 11, 3] Generated Node #2: [63, 11, 3] from Operation: 98-95=3 Current State: 32:[63, 11, 3], Operations: ['98-95=3'] Exploring Operation: 63/3=21, Resulting Numbers: [11, 21] Generated Node #3: [11, 21] from Operation: 63/3=21 Current State: 32:[11, 21], Operations: ['98-95=3', '63/3=21'] Exploring Operation: 11+21=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 75, 90, 60, 72 ]
48
[ "75+60=135", "90*72=6480", "6480/135=48" ]
Current State: 48:[75, 90, 60, 72], Operations: [] Exploring Operation: 75+60=135, Resulting Numbers: [90, 72, 135] Generated Node #2: [90, 72, 135] from Operation: 75+60=135 Current State: 48:[90, 72, 135], Operations: ['75+60=135'] Exploring Operation: 90*72=6480, Resulting Numbers: [135, 6480] Generated Node #3: [135, 6480] from Operation: 90*72=6480 Current State: 48:[135, 6480], Operations: ['75+60=135', '90*72=6480'] Exploring Operation: 6480/135=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 38, 1, 28, 47 ]
20
[ "38+1=39", "47-28=19", "39-19=20" ]
Current State: 20:[38, 1, 28, 47], Operations: [] Exploring Operation: 38+1=39, Resulting Numbers: [28, 47, 39] Generated Node #2: [28, 47, 39] from Operation: 38+1=39 Current State: 20:[28, 47, 39], Operations: ['38+1=39'] Exploring Operation: 47-28=19, Resulting Numbers: [39, 19] Generated Node #3: [39, 19] from Operation: 47-28=19 Current State: 20:[39, 19], Operations: ['38+1=39', '47-28=19'] Exploring Operation: 39-19=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 62, 51, 24, 37 ]
50
[ "62-51=11", "24+37=61", "61-11=50" ]
Current State: 50:[62, 51, 24, 37], Operations: [] Exploring Operation: 62-51=11, Resulting Numbers: [24, 37, 11] Generated Node #2: [24, 37, 11] from Operation: 62-51=11 Current State: 50:[24, 37, 11], Operations: ['62-51=11'] Exploring Operation: 24+37=61, Resulting Numbers: [11, 61] Generated Node #3: [11, 61] from Operation: 24+37=61 Current State: 50:[11, 61], Operations: ['62-51=11', '24+37=61'] Exploring Operation: 61-11=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 78, 63, 4, 75 ]
81
[ "75-63=12", "12/4=3", "78+3=81" ]
Current State: 81:[78, 63, 4, 75], Operations: [] Exploring Operation: 75-63=12, Resulting Numbers: [78, 4, 12] Generated Node #2: [78, 4, 12] from Operation: 75-63=12 Current State: 81:[78, 4, 12], Operations: ['75-63=12'] Exploring Operation: 12/4=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 12/4=3 Current State: 81:[78, 3], Operations: ['75-63=12', '12/4=3'] Exploring Operation: 78+3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 29, 58, 19, 2 ]
97
[ "29*2=58", "58-19=39", "58+39=97" ]
Current State: 97:[29, 58, 19, 2], Operations: [] Exploring Operation: 29*2=58, Resulting Numbers: [58, 19, 58] Generated Node #2: [58, 19, 58] from Operation: 29*2=58 Current State: 97:[58, 19, 58], Operations: ['29*2=58'] Exploring Operation: 58-19=39, Resulting Numbers: [39] 39,97 equal: Goal Reached Exploring Operation: 58+39=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 57, 75, 30, 24 ]
78
[ "57+75=132", "30+24=54", "132-54=78" ]
Current State: 78:[57, 75, 30, 24], Operations: [] Exploring Operation: 57+75=132, Resulting Numbers: [30, 24, 132] Generated Node #2: [30, 24, 132] from Operation: 57+75=132 Current State: 78:[30, 24, 132], Operations: ['57+75=132'] Exploring Operation: 30+24=54, Resulting Numbers: [132, 54] Generated Node #3: [132, 54] from Operation: 30+24=54 Current State: 78:[132, 54], Operations: ['57+75=132', '30+24=54'] Exploring Operation: 132-54=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 91, 72, 79, 65 ]
52
[ "79-72=7", "91/7=13", "65-13=52" ]
Current State: 52:[91, 72, 79, 65], Operations: [] Exploring Operation: 79-72=7, Resulting Numbers: [91, 65, 7] Generated Node #2: [91, 65, 7] from Operation: 79-72=7 Current State: 52:[91, 65, 7], Operations: ['79-72=7'] Exploring Operation: 91/7=13, Resulting Numbers: [65, 13] Generated Node #3: [65, 13] from Operation: 91/7=13 Current State: 52:[65, 13], Operations: ['79-72=7', '91/7=13'] Exploring Operation: 65-13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 66, 65, 16, 94 ]
79
[ "66-65=1", "94-16=78", "1+78=79" ]
Current State: 79:[66, 65, 16, 94], Operations: [] Exploring Operation: 66-65=1, Resulting Numbers: [16, 94, 1] Generated Node #2: [16, 94, 1] from Operation: 66-65=1 Current State: 79:[16, 94, 1], Operations: ['66-65=1'] Exploring Operation: 94-16=78, Resulting Numbers: [1, 78] Generated Node #3: [1, 78] from Operation: 94-16=78 Current State: 79:[1, 78], Operations: ['66-65=1', '94-16=78'] Exploring Operation: 1+78=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 3, 83, 40, 55 ]
44
[ "83-55=28", "3*28=84", "84-40=44" ]
Current State: 44:[3, 83, 40, 55], Operations: [] Exploring Operation: 83-55=28, Resulting Numbers: [3, 40, 28] Generated Node #2: [3, 40, 28] from Operation: 83-55=28 Current State: 44:[3, 40, 28], Operations: ['83-55=28'] Exploring Operation: 3*28=84, Resulting Numbers: [40, 84] Generated Node #3: [40, 84] from Operation: 3*28=84 Current State: 44:[40, 84], Operations: ['83-55=28', '3*28=84'] Exploring Operation: 84-40=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 43, 95, 71, 38 ]
92
[ "43+71=114", "114/38=3", "95-3=92" ]
Current State: 92:[43, 95, 71, 38], Operations: [] Exploring Operation: 43+71=114, Resulting Numbers: [95, 38, 114] Generated Node #2: [95, 38, 114] from Operation: 43+71=114 Current State: 92:[95, 38, 114], Operations: ['43+71=114'] Exploring Operation: 114/38=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 114/38=3 Current State: 92:[95, 3], Operations: ['43+71=114', '114/38=3'] Exploring Operation: 95-3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 2, 57, 26, 40 ]
35
[ "2*26=52", "57-40=17", "52-17=35" ]
Current State: 35:[2, 57, 26, 40], Operations: [] Exploring Operation: 2*26=52, Resulting Numbers: [57, 40, 52] Generated Node #2: [57, 40, 52] from Operation: 2*26=52 Current State: 35:[57, 40, 52], Operations: ['2*26=52'] Exploring Operation: 57-40=17, Resulting Numbers: [52, 17] Generated Node #3: [52, 17] from Operation: 57-40=17 Current State: 35:[52, 17], Operations: ['2*26=52', '57-40=17'] Exploring Operation: 52-17=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 38, 98, 12, 45 ]
93
[ "98-38=60", "45-12=33", "60+33=93" ]
Current State: 93:[38, 98, 12, 45], Operations: [] Exploring Operation: 98-38=60, Resulting Numbers: [12, 45, 60] Generated Node #2: [12, 45, 60] from Operation: 98-38=60 Current State: 93:[12, 45, 60], Operations: ['98-38=60'] Exploring Operation: 45-12=33, Resulting Numbers: [60, 33] Generated Node #3: [60, 33] from Operation: 45-12=33 Current State: 93:[60, 33], Operations: ['98-38=60', '45-12=33'] Exploring Operation: 60+33=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 28, 16, 32, 26 ]
40
[ "28*16=448", "448/32=14", "26+14=40" ]
Current State: 40:[28, 16, 32, 26], Operations: [] Exploring Operation: 28*16=448, Resulting Numbers: [32, 26, 448] Generated Node #2: [32, 26, 448] from Operation: 28*16=448 Current State: 40:[32, 26, 448], Operations: ['28*16=448'] Exploring Operation: 448/32=14, Resulting Numbers: [26, 14] Generated Node #3: [26, 14] from Operation: 448/32=14 Current State: 40:[26, 14], Operations: ['28*16=448', '448/32=14'] Exploring Operation: 26+14=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 51, 34, 60, 80 ]
30
[ "80-60=20", "51*20=1020", "1020/34=30" ]
Current State: 30:[51, 34, 60, 80], Operations: [] Exploring Operation: 80-60=20, Resulting Numbers: [51, 34, 20] Generated Node #2: [51, 34, 20] from Operation: 80-60=20 Current State: 30:[51, 34, 20], Operations: ['80-60=20'] Exploring Operation: 51*20=1020, Resulting Numbers: [34, 1020] Generated Node #3: [34, 1020] from Operation: 51*20=1020 Current State: 30:[34, 1020], Operations: ['80-60=20', '51*20=1020'] Exploring Operation: 1020/34=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 17, 51, 29, 63 ]
89
[ "51/17=3", "29+63=92", "92-3=89" ]
Current State: 89:[17, 51, 29, 63], Operations: [] Exploring Operation: 51/17=3, Resulting Numbers: [29, 63, 3] Generated Node #2: [29, 63, 3] from Operation: 51/17=3 Current State: 89:[29, 63, 3], Operations: ['51/17=3'] Exploring Operation: 29+63=92, Resulting Numbers: [3, 92] Generated Node #3: [3, 92] from Operation: 29+63=92 Current State: 89:[3, 92], Operations: ['51/17=3', '29+63=92'] Exploring Operation: 92-3=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 49, 42, 25, 83 ]
92
[ "49-42=7", "25*7=175", "175-83=92" ]
Current State: 92:[49, 42, 25, 83], Operations: [] Exploring Operation: 49-42=7, Resulting Numbers: [25, 83, 7] Generated Node #2: [25, 83, 7] from Operation: 49-42=7 Current State: 92:[25, 83, 7], Operations: ['49-42=7'] Exploring Operation: 25*7=175, Resulting Numbers: [83, 175] Generated Node #3: [83, 175] from Operation: 25*7=175 Current State: 92:[83, 175], Operations: ['49-42=7', '25*7=175'] Exploring Operation: 175-83=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 49, 3, 76, 98 ]
68
[ "49-3=46", "98-76=22", "46+22=68" ]
Current State: 68:[49, 3, 76, 98], Operations: [] Exploring Operation: 49-3=46, Resulting Numbers: [76, 98, 46] Generated Node #2: [76, 98, 46] from Operation: 49-3=46 Current State: 68:[76, 98, 46], Operations: ['49-3=46'] Exploring Operation: 98-76=22, Resulting Numbers: [46, 22] Generated Node #3: [46, 22] from Operation: 98-76=22 Current State: 68:[46, 22], Operations: ['49-3=46', '98-76=22'] Exploring Operation: 46+22=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 56, 13, 11, 23 ]
33
[ "56+13=69", "11*69=759", "759/23=33" ]
Current State: 33:[56, 13, 11, 23], Operations: [] Exploring Operation: 56+13=69, Resulting Numbers: [11, 23, 69] Generated Node #2: [11, 23, 69] from Operation: 56+13=69 Current State: 33:[11, 23, 69], Operations: ['56+13=69'] Exploring Operation: 11*69=759, Resulting Numbers: [23, 759] Generated Node #3: [23, 759] from Operation: 11*69=759 Current State: 33:[23, 759], Operations: ['56+13=69', '11*69=759'] Exploring Operation: 759/23=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 4, 10, 70, 38 ]
25
[ "10*38=380", "380/4=95", "95-70=25" ]
Current State: 25:[4, 10, 70, 38], Operations: [] Exploring Operation: 10*38=380, Resulting Numbers: [4, 70, 380] Generated Node #2: [4, 70, 380] from Operation: 10*38=380 Current State: 25:[4, 70, 380], Operations: ['10*38=380'] Exploring Operation: 380/4=95, Resulting Numbers: [70, 95] Generated Node #3: [70, 95] from Operation: 380/4=95 Current State: 25:[70, 95], Operations: ['10*38=380', '380/4=95'] Exploring Operation: 95-70=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 5, 84, 15, 96 ]
63
[ "5*15=75", "96-84=12", "75-12=63" ]
Current State: 63:[5, 84, 15, 96], Operations: [] Exploring Operation: 5*15=75, Resulting Numbers: [84, 96, 75] Generated Node #2: [84, 96, 75] from Operation: 5*15=75 Current State: 63:[84, 96, 75], Operations: ['5*15=75'] Exploring Operation: 96-84=12, Resulting Numbers: [75, 12] Generated Node #3: [75, 12] from Operation: 96-84=12 Current State: 63:[75, 12], Operations: ['5*15=75', '96-84=12'] Exploring Operation: 75-12=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 87, 3, 73, 77 ]
86
[ "87+3=90", "77-73=4", "90-4=86" ]
Current State: 86:[87, 3, 73, 77], Operations: [] Exploring Operation: 87+3=90, Resulting Numbers: [73, 77, 90] Generated Node #2: [73, 77, 90] from Operation: 87+3=90 Current State: 86:[73, 77, 90], Operations: ['87+3=90'] Exploring Operation: 77-73=4, Resulting Numbers: [90, 4] Generated Node #3: [90, 4] from Operation: 77-73=4 Current State: 86:[90, 4], Operations: ['87+3=90', '77-73=4'] Exploring Operation: 90-4=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 4, 39, 5, 75 ]
99
[ "4*75=300", "300/5=60", "39+60=99" ]
Current State: 99:[4, 39, 5, 75], Operations: [] Exploring Operation: 4*75=300, Resulting Numbers: [39, 5, 300] Generated Node #2: [39, 5, 300] from Operation: 4*75=300 Current State: 99:[39, 5, 300], Operations: ['4*75=300'] Exploring Operation: 300/5=60, Resulting Numbers: [39, 60] Generated Node #3: [39, 60] from Operation: 300/5=60 Current State: 99:[39, 60], Operations: ['4*75=300', '300/5=60'] Exploring Operation: 39+60=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 77, 65, 30, 97 ]
75
[ "77+65=142", "97-30=67", "142-67=75" ]
Current State: 75:[77, 65, 30, 97], Operations: [] Exploring Operation: 77+65=142, Resulting Numbers: [30, 97, 142] Generated Node #2: [30, 97, 142] from Operation: 77+65=142 Current State: 75:[30, 97, 142], Operations: ['77+65=142'] Exploring Operation: 97-30=67, Resulting Numbers: [142, 67] Generated Node #3: [142, 67] from Operation: 97-30=67 Current State: 75:[142, 67], Operations: ['77+65=142', '97-30=67'] Exploring Operation: 142-67=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 58, 12, 93, 23 ]
91
[ "58-12=46", "46/23=2", "93-2=91" ]
Current State: 91:[58, 12, 93, 23], Operations: [] Exploring Operation: 58-12=46, Resulting Numbers: [93, 23, 46] Generated Node #2: [93, 23, 46] from Operation: 58-12=46 Current State: 91:[93, 23, 46], Operations: ['58-12=46'] Exploring Operation: 46/23=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 46/23=2 Current State: 91:[93, 2], Operations: ['58-12=46', '46/23=2'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 16, 27, 93, 52 ]
84
[ "16+27=43", "93-52=41", "43+41=84" ]
Current State: 84:[16, 27, 93, 52], Operations: [] Exploring Operation: 16+27=43, Resulting Numbers: [93, 52, 43] Generated Node #2: [93, 52, 43] from Operation: 16+27=43 Current State: 84:[93, 52, 43], Operations: ['16+27=43'] Exploring Operation: 93-52=41, Resulting Numbers: [43, 41] Generated Node #3: [43, 41] from Operation: 93-52=41 Current State: 84:[43, 41], Operations: ['16+27=43', '93-52=41'] Exploring Operation: 43+41=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 66, 44, 12, 14 ]
22
[ "44*12=528", "528/66=8", "14+8=22" ]
Current State: 22:[66, 44, 12, 14], Operations: [] Exploring Operation: 44*12=528, Resulting Numbers: [66, 14, 528] Generated Node #2: [66, 14, 528] from Operation: 44*12=528 Current State: 22:[66, 14, 528], Operations: ['44*12=528'] Exploring Operation: 528/66=8, Resulting Numbers: [14, 8] Generated Node #3: [14, 8] from Operation: 528/66=8 Current State: 22:[14, 8], Operations: ['44*12=528', '528/66=8'] Exploring Operation: 14+8=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 84, 15, 15, 21 ]
62
[ "84-21=63", "15/15=1", "63-1=62" ]
Current State: 62:[84, 15, 15, 21], Operations: [] Exploring Operation: 84-21=63, Resulting Numbers: [15, 15, 63] Generated Node #2: [15, 15, 63] from Operation: 84-21=63 Current State: 62:[15, 15, 63], Operations: ['84-21=63'] Exploring Operation: 15/15=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 15/15=1 Current State: 62:[63, 1], Operations: ['84-21=63', '15/15=1'] Exploring Operation: 63-1=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 23, 80, 20, 8 ]
92
[ "80/20=4", "8-4=4", "23*4=92" ]
Current State: 92:[23, 80, 20, 8], Operations: [] Exploring Operation: 80/20=4, Resulting Numbers: [23, 8, 4] Generated Node #2: [23, 8, 4] from Operation: 80/20=4 Current State: 92:[23, 8, 4], Operations: ['80/20=4'] Exploring Operation: 8-4=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 8-4=4 Current State: 92:[23, 4], Operations: ['80/20=4', '8-4=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 35, 78, 36, 14 ]
38
[ "78-36=42", "42/14=3", "35+3=38" ]
Current State: 38:[35, 78, 36, 14], Operations: [] Exploring Operation: 78-36=42, Resulting Numbers: [35, 14, 42] Generated Node #2: [35, 14, 42] from Operation: 78-36=42 Current State: 38:[35, 14, 42], Operations: ['78-36=42'] Exploring Operation: 42/14=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 42/14=3 Current State: 38:[35, 3], Operations: ['78-36=42', '42/14=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 64, 84, 82, 22 ]
40
[ "84-64=20", "82-22=60", "60-20=40" ]
Current State: 40:[64, 84, 82, 22], Operations: [] Exploring Operation: 84-64=20, Resulting Numbers: [82, 22, 20] Generated Node #2: [82, 22, 20] from Operation: 84-64=20 Current State: 40:[82, 22, 20], Operations: ['84-64=20'] Exploring Operation: 82-22=60, Resulting Numbers: [20, 60] Generated Node #3: [20, 60] from Operation: 82-22=60 Current State: 40:[20, 60], Operations: ['84-64=20', '82-22=60'] Exploring Operation: 60-20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 2, 88, 87, 16 ]
34
[ "88-87=1", "16+1=17", "2*17=34" ]
Current State: 34:[2, 88, 87, 16], Operations: [] Exploring Operation: 88-87=1, Resulting Numbers: [2, 16, 1] Generated Node #2: [2, 16, 1] from Operation: 88-87=1 Current State: 34:[2, 16, 1], Operations: ['88-87=1'] Exploring Operation: 16+1=17, Resulting Numbers: [2, 17] Generated Node #3: [2, 17] from Operation: 16+1=17 Current State: 34:[2, 17], Operations: ['88-87=1', '16+1=17'] Exploring Operation: 2*17=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 70, 31, 52, 36 ]
49
[ "70-31=39", "52+36=88", "88-39=49" ]
Current State: 49:[70, 31, 52, 36], Operations: [] Exploring Operation: 70-31=39, Resulting Numbers: [52, 36, 39] Generated Node #2: [52, 36, 39] from Operation: 70-31=39 Current State: 49:[52, 36, 39], Operations: ['70-31=39'] Exploring Operation: 52+36=88, Resulting Numbers: [39, 88] Generated Node #3: [39, 88] from Operation: 52+36=88 Current State: 49:[39, 88], Operations: ['70-31=39', '52+36=88'] Exploring Operation: 88-39=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 18, 22, 84, 50 ]
80
[ "22+50=72", "72/18=4", "84-4=80" ]
Current State: 80:[18, 22, 84, 50], Operations: [] Exploring Operation: 22+50=72, Resulting Numbers: [18, 84, 72] Generated Node #2: [18, 84, 72] from Operation: 22+50=72 Current State: 80:[18, 84, 72], Operations: ['22+50=72'] Exploring Operation: 72/18=4, Resulting Numbers: [84, 4] Generated Node #3: [84, 4] from Operation: 72/18=4 Current State: 80:[84, 4], Operations: ['22+50=72', '72/18=4'] Exploring Operation: 84-4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 79, 72, 83, 92 ]
16
[ "79-72=7", "92-83=9", "7+9=16" ]
Current State: 16:[79, 72, 83, 92], Operations: [] Exploring Operation: 79-72=7, Resulting Numbers: [83, 92, 7] Generated Node #2: [83, 92, 7] from Operation: 79-72=7 Current State: 16:[83, 92, 7], Operations: ['79-72=7'] Exploring Operation: 92-83=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 92-83=9 Current State: 16:[7, 9], Operations: ['79-72=7', '92-83=9'] Exploring Operation: 7+9=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 64, 10, 38, 73 ]
38
[ "64+10=74", "74-73=1", "38*1=38" ]
Current State: 38:[64, 10, 38, 73], Operations: [] Exploring Operation: 64+10=74, Resulting Numbers: [38, 73, 74] Generated Node #2: [38, 73, 74] from Operation: 64+10=74 Current State: 38:[38, 73, 74], Operations: ['64+10=74'] Exploring Operation: 74-73=1, Resulting Numbers: [38, 1] Generated Node #3: [38, 1] from Operation: 74-73=1 Current State: 38:[38, 1], Operations: ['64+10=74', '74-73=1'] Exploring Operation: 38*1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 16, 29, 4, 7 ]
79
[ "16*7=112", "29+4=33", "112-33=79" ]
Current State: 79:[16, 29, 4, 7], Operations: [] Exploring Operation: 16*7=112, Resulting Numbers: [29, 4, 112] Generated Node #2: [29, 4, 112] from Operation: 16*7=112 Current State: 79:[29, 4, 112], Operations: ['16*7=112'] Exploring Operation: 29+4=33, Resulting Numbers: [112, 33] Generated Node #3: [112, 33] from Operation: 29+4=33 Current State: 79:[112, 33], Operations: ['16*7=112', '29+4=33'] Exploring Operation: 112-33=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 72, 85, 91, 18 ]
15
[ "72+18=90", "91-85=6", "90/6=15" ]
Current State: 15:[72, 85, 91, 18], Operations: [] Exploring Operation: 72+18=90, Resulting Numbers: [85, 91, 90] Generated Node #2: [85, 91, 90] from Operation: 72+18=90 Current State: 15:[85, 91, 90], Operations: ['72+18=90'] Exploring Operation: 91-85=6, Resulting Numbers: [90, 6] Generated Node #3: [90, 6] from Operation: 91-85=6 Current State: 15:[90, 6], Operations: ['72+18=90', '91-85=6'] Exploring Operation: 90/6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 70, 1, 98, 40 ]
12
[ "70*1=70", "98-40=58", "70-58=12" ]
Current State: 12:[70, 1, 98, 40], Operations: [] Exploring Operation: 70*1=70, Resulting Numbers: [98, 40, 70] Generated Node #2: [98, 40, 70] from Operation: 70*1=70 Current State: 12:[98, 40, 70], Operations: ['70*1=70'] Exploring Operation: 98-40=58, Resulting Numbers: [70, 58] Generated Node #3: [70, 58] from Operation: 98-40=58 Current State: 12:[70, 58], Operations: ['70*1=70', '98-40=58'] Exploring Operation: 70-58=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 39, 6, 60, 86 ]
37
[ "86-39=47", "60/6=10", "47-10=37" ]
Current State: 37:[39, 6, 60, 86], Operations: [] Exploring Operation: 86-39=47, Resulting Numbers: [6, 60, 47] Generated Node #2: [6, 60, 47] from Operation: 86-39=47 Current State: 37:[6, 60, 47], Operations: ['86-39=47'] Exploring Operation: 60/6=10, Resulting Numbers: [47, 10] Generated Node #3: [47, 10] from Operation: 60/6=10 Current State: 37:[47, 10], Operations: ['86-39=47', '60/6=10'] Exploring Operation: 47-10=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 19, 64, 47, 34 ]
21
[ "64-47=17", "34/17=2", "19+2=21" ]
Current State: 21:[19, 64, 47, 34], Operations: [] Exploring Operation: 64-47=17, Resulting Numbers: [19, 34, 17] Generated Node #2: [19, 34, 17] from Operation: 64-47=17 Current State: 21:[19, 34, 17], Operations: ['64-47=17'] Exploring Operation: 34/17=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 34/17=2 Current State: 21:[19, 2], Operations: ['64-47=17', '34/17=2'] Exploring Operation: 19+2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 19, 60, 46, 17 ]
53
[ "19-17=2", "60+46=106", "106/2=53" ]
Current State: 53:[19, 60, 46, 17], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [60, 46, 2] Generated Node #2: [60, 46, 2] from Operation: 19-17=2 Current State: 53:[60, 46, 2], Operations: ['19-17=2'] Exploring Operation: 60+46=106, Resulting Numbers: [2, 106] Generated Node #3: [2, 106] from Operation: 60+46=106 Current State: 53:[2, 106], Operations: ['19-17=2', '60+46=106'] Exploring Operation: 106/2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 68, 57, 93, 13 ]
69
[ "68-57=11", "93-13=80", "80-11=69" ]
Current State: 69:[68, 57, 93, 13], Operations: [] Exploring Operation: 68-57=11, Resulting Numbers: [93, 13, 11] Generated Node #2: [93, 13, 11] from Operation: 68-57=11 Current State: 69:[93, 13, 11], Operations: ['68-57=11'] Exploring Operation: 93-13=80, Resulting Numbers: [11, 80] Generated Node #3: [11, 80] from Operation: 93-13=80 Current State: 69:[11, 80], Operations: ['68-57=11', '93-13=80'] Exploring Operation: 80-11=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 1, 12, 73, 86 ]
24
[ "12-1=11", "86-73=13", "11+13=24" ]
Current State: 24:[1, 12, 73, 86], Operations: [] Exploring Operation: 12-1=11, Resulting Numbers: [73, 86, 11] Generated Node #2: [73, 86, 11] from Operation: 12-1=11 Current State: 24:[73, 86, 11], Operations: ['12-1=11'] Exploring Operation: 86-73=13, Resulting Numbers: [11, 13] Generated Node #3: [11, 13] from Operation: 86-73=13 Current State: 24:[11, 13], Operations: ['12-1=11', '86-73=13'] Exploring Operation: 11+13=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 7, 57, 12, 2 ]
47
[ "12-7=5", "2*5=10", "57-10=47" ]
Current State: 47:[7, 57, 12, 2], Operations: [] Exploring Operation: 12-7=5, Resulting Numbers: [57, 2, 5] Generated Node #2: [57, 2, 5] from Operation: 12-7=5 Current State: 47:[57, 2, 5], Operations: ['12-7=5'] Exploring Operation: 2*5=10, Resulting Numbers: [57, 10] Generated Node #3: [57, 10] from Operation: 2*5=10 Current State: 47:[57, 10], Operations: ['12-7=5', '2*5=10'] Exploring Operation: 57-10=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 4, 25, 41, 24 ]
43
[ "41-24=17", "4*17=68", "68-25=43" ]
Current State: 43:[4, 25, 41, 24], Operations: [] Exploring Operation: 41-24=17, Resulting Numbers: [4, 25, 17] Generated Node #2: [4, 25, 17] from Operation: 41-24=17 Current State: 43:[4, 25, 17], Operations: ['41-24=17'] Exploring Operation: 4*17=68, Resulting Numbers: [25, 68] Generated Node #3: [25, 68] from Operation: 4*17=68 Current State: 43:[25, 68], Operations: ['41-24=17', '4*17=68'] Exploring Operation: 68-25=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 83, 90, 2, 43 ]
38
[ "90-83=7", "2+43=45", "45-7=38" ]
Current State: 38:[83, 90, 2, 43], Operations: [] Exploring Operation: 90-83=7, Resulting Numbers: [2, 43, 7] Generated Node #2: [2, 43, 7] from Operation: 90-83=7 Current State: 38:[2, 43, 7], Operations: ['90-83=7'] Exploring Operation: 2+43=45, Resulting Numbers: [7, 45] Generated Node #3: [7, 45] from Operation: 2+43=45 Current State: 38:[7, 45], Operations: ['90-83=7', '2+43=45'] Exploring Operation: 45-7=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 83, 75, 97, 68 ]
98
[ "97-83=14", "75-68=7", "14*7=98" ]
Current State: 98:[83, 75, 97, 68], Operations: [] Exploring Operation: 97-83=14, Resulting Numbers: [75, 68, 14] Generated Node #2: [75, 68, 14] from Operation: 97-83=14 Current State: 98:[75, 68, 14], Operations: ['97-83=14'] Exploring Operation: 75-68=7, Resulting Numbers: [14, 7] Generated Node #3: [14, 7] from Operation: 75-68=7 Current State: 98:[14, 7], Operations: ['97-83=14', '75-68=7'] Exploring Operation: 14*7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 39, 10, 40, 28 ]
15
[ "39-28=11", "40/10=4", "11+4=15" ]
Current State: 15:[39, 10, 40, 28], Operations: [] Exploring Operation: 39-28=11, Resulting Numbers: [10, 40, 11] Generated Node #2: [10, 40, 11] from Operation: 39-28=11 Current State: 15:[10, 40, 11], Operations: ['39-28=11'] Exploring Operation: 40/10=4, Resulting Numbers: [11, 4] Generated Node #3: [11, 4] from Operation: 40/10=4 Current State: 15:[11, 4], Operations: ['39-28=11', '40/10=4'] Exploring Operation: 11+4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 2, 19, 85, 87 ]
20
[ "2+85=87", "87/87=1", "19+1=20" ]
Current State: 20:[2, 19, 85, 87], Operations: [] Exploring Operation: 2+85=87, Resulting Numbers: [19, 87, 87] Generated Node #2: [19, 87, 87] from Operation: 2+85=87 Current State: 20:[19, 87, 87], Operations: ['2+85=87'] Exploring Operation: 87/87=1, Resulting Numbers: [19, 1] Generated Node #3: [19, 1] from Operation: 87/87=1 Current State: 20:[19, 1], Operations: ['2+85=87', '87/87=1'] Exploring Operation: 19+1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 19, 4, 72, 25 ]
25
[ "72/4=18", "19-18=1", "25*1=25" ]
Current State: 25:[19, 4, 72, 25], Operations: [] Exploring Operation: 72/4=18, Resulting Numbers: [19, 25, 18] Generated Node #2: [19, 25, 18] from Operation: 72/4=18 Current State: 25:[19, 25, 18], Operations: ['72/4=18'] Exploring Operation: 19-18=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 19-18=1 Current State: 25:[25, 1], Operations: ['72/4=18', '19-18=1'] Exploring Operation: 25*1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 35, 97, 6, 32 ]
99
[ "35-32=3", "6/3=2", "97+2=99" ]
Current State: 99:[35, 97, 6, 32], Operations: [] Exploring Operation: 35-32=3, Resulting Numbers: [97, 6, 3] Generated Node #2: [97, 6, 3] from Operation: 35-32=3 Current State: 99:[97, 6, 3], Operations: ['35-32=3'] Exploring Operation: 6/3=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 6/3=2 Current State: 99:[97, 2], Operations: ['35-32=3', '6/3=2'] Exploring Operation: 97+2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 21, 9, 20, 22 ]
12
[ "21+9=30", "20+22=42", "42-30=12" ]
Current State: 12:[21, 9, 20, 22], Operations: [] Exploring Operation: 21+9=30, Resulting Numbers: [20, 22, 30] Generated Node #2: [20, 22, 30] from Operation: 21+9=30 Current State: 12:[20, 22, 30], Operations: ['21+9=30'] Exploring Operation: 20+22=42, Resulting Numbers: [30, 42] Generated Node #3: [30, 42] from Operation: 20+22=42 Current State: 12:[30, 42], Operations: ['21+9=30', '20+22=42'] Exploring Operation: 42-30=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 29, 54, 1, 52 ]
59
[ "54-52=2", "29*2=58", "1+58=59" ]
Current State: 59:[29, 54, 1, 52], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [29, 1, 2] Generated Node #2: [29, 1, 2] from Operation: 54-52=2 Current State: 59:[29, 1, 2], Operations: ['54-52=2'] Exploring Operation: 29*2=58, Resulting Numbers: [1, 58] Generated Node #3: [1, 58] from Operation: 29*2=58 Current State: 59:[1, 58], Operations: ['54-52=2', '29*2=58'] Exploring Operation: 1+58=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 84, 92, 27, 25 ]
50
[ "27-25=2", "84/2=42", "92-42=50" ]
Current State: 50:[84, 92, 27, 25], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [84, 92, 2] Generated Node #2: [84, 92, 2] from Operation: 27-25=2 Current State: 50:[84, 92, 2], Operations: ['27-25=2'] Exploring Operation: 84/2=42, Resulting Numbers: [92, 42] Generated Node #3: [92, 42] from Operation: 84/2=42 Current State: 50:[92, 42], Operations: ['27-25=2', '84/2=42'] Exploring Operation: 92-42=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 40, 35, 27, 9 ]
78
[ "40+35=75", "27/9=3", "75+3=78" ]
Current State: 78:[40, 35, 27, 9], Operations: [] Exploring Operation: 40+35=75, Resulting Numbers: [27, 9, 75] Generated Node #2: [27, 9, 75] from Operation: 40+35=75 Current State: 78:[27, 9, 75], Operations: ['40+35=75'] Exploring Operation: 27/9=3, Resulting Numbers: [75, 3] Generated Node #3: [75, 3] from Operation: 27/9=3 Current State: 78:[75, 3], Operations: ['40+35=75', '27/9=3'] Exploring Operation: 75+3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 60, 64, 53, 77 ]
53
[ "60-53=7", "77/7=11", "64-11=53" ]
Current State: 53:[60, 64, 53, 77], Operations: [] Exploring Operation: 60-53=7, Resulting Numbers: [64, 77, 7] Generated Node #2: [64, 77, 7] from Operation: 60-53=7 Current State: 53:[64, 77, 7], Operations: ['60-53=7'] Exploring Operation: 77/7=11, Resulting Numbers: [64, 11] Generated Node #3: [64, 11] from Operation: 77/7=11 Current State: 53:[64, 11], Operations: ['60-53=7', '77/7=11'] Exploring Operation: 64-11=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 94, 39, 23, 2 ]
34
[ "94-39=55", "23-2=21", "55-21=34" ]
Current State: 34:[94, 39, 23, 2], Operations: [] Exploring Operation: 94-39=55, Resulting Numbers: [23, 2, 55] Generated Node #2: [23, 2, 55] from Operation: 94-39=55 Current State: 34:[23, 2, 55], Operations: ['94-39=55'] Exploring Operation: 23-2=21, Resulting Numbers: [55, 21] Generated Node #3: [55, 21] from Operation: 23-2=21 Current State: 34:[55, 21], Operations: ['94-39=55', '23-2=21'] Exploring Operation: 55-21=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 63, 74, 43, 75 ]
19
[ "63+74=137", "43+75=118", "137-118=19" ]
Current State: 19:[63, 74, 43, 75], Operations: [] Exploring Operation: 63+74=137, Resulting Numbers: [43, 75, 137] Generated Node #2: [43, 75, 137] from Operation: 63+74=137 Current State: 19:[43, 75, 137], Operations: ['63+74=137'] Exploring Operation: 43+75=118, Resulting Numbers: [137, 118] Generated Node #3: [137, 118] from Operation: 43+75=118 Current State: 19:[137, 118], Operations: ['63+74=137', '43+75=118'] Exploring Operation: 137-118=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 38, 58, 45, 68 ]
87
[ "68-38=30", "58*45=2610", "2610/30=87" ]
Current State: 87:[38, 58, 45, 68], Operations: [] Exploring Operation: 68-38=30, Resulting Numbers: [58, 45, 30] Generated Node #2: [58, 45, 30] from Operation: 68-38=30 Current State: 87:[58, 45, 30], Operations: ['68-38=30'] Exploring Operation: 58*45=2610, Resulting Numbers: [30, 2610] Generated Node #3: [30, 2610] from Operation: 58*45=2610 Current State: 87:[30, 2610], Operations: ['68-38=30', '58*45=2610'] Exploring Operation: 2610/30=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 39, 43, 31, 42 ]
69
[ "43-39=4", "31+42=73", "73-4=69" ]
Current State: 69:[39, 43, 31, 42], Operations: [] Exploring Operation: 43-39=4, Resulting Numbers: [31, 42, 4] Generated Node #2: [31, 42, 4] from Operation: 43-39=4 Current State: 69:[31, 42, 4], Operations: ['43-39=4'] Exploring Operation: 31+42=73, Resulting Numbers: [4, 73] Generated Node #3: [4, 73] from Operation: 31+42=73 Current State: 69:[4, 73], Operations: ['43-39=4', '31+42=73'] Exploring Operation: 73-4=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 70, 18, 62, 12 ]
22
[ "70-18=52", "62+12=74", "74-52=22" ]
Current State: 22:[70, 18, 62, 12], Operations: [] Exploring Operation: 70-18=52, Resulting Numbers: [62, 12, 52] Generated Node #2: [62, 12, 52] from Operation: 70-18=52 Current State: 22:[62, 12, 52], Operations: ['70-18=52'] Exploring Operation: 62+12=74, Resulting Numbers: [52, 74] Generated Node #3: [52, 74] from Operation: 62+12=74 Current State: 22:[52, 74], Operations: ['70-18=52', '62+12=74'] Exploring Operation: 74-52=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 15, 84, 17, 76 ]
72
[ "15*76=1140", "84+1140=1224", "1224/17=72" ]
Current State: 72:[15, 84, 17, 76], Operations: [] Exploring Operation: 15*76=1140, Resulting Numbers: [84, 17, 1140] Generated Node #2: [84, 17, 1140] from Operation: 15*76=1140 Current State: 72:[84, 17, 1140], Operations: ['15*76=1140'] Exploring Operation: 84+1140=1224, Resulting Numbers: [17, 1224] Generated Node #3: [17, 1224] from Operation: 84+1140=1224 Current State: 72:[17, 1224], Operations: ['15*76=1140', '84+1140=1224'] Exploring Operation: 1224/17=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 14, 8, 26, 3 ]
24
[ "14-8=6", "6/3=2", "26-2=24" ]
Current State: 24:[14, 8, 26, 3], Operations: [] Exploring Operation: 14-8=6, Resulting Numbers: [26, 3, 6] Generated Node #2: [26, 3, 6] from Operation: 14-8=6 Current State: 24:[26, 3, 6], Operations: ['14-8=6'] Exploring Operation: 6/3=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 6/3=2 Current State: 24:[26, 2], Operations: ['14-8=6', '6/3=2'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 36, 55, 85, 39 ]
90
[ "39-36=3", "85-55=30", "3*30=90" ]
Current State: 90:[36, 55, 85, 39], Operations: [] Exploring Operation: 39-36=3, Resulting Numbers: [55, 85, 3] Generated Node #2: [55, 85, 3] from Operation: 39-36=3 Current State: 90:[55, 85, 3], Operations: ['39-36=3'] Exploring Operation: 85-55=30, Resulting Numbers: [3, 30] Generated Node #3: [3, 30] from Operation: 85-55=30 Current State: 90:[3, 30], Operations: ['39-36=3', '85-55=30'] Exploring Operation: 3*30=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 7, 60, 38, 19 ]
86
[ "7+60=67", "38-19=19", "67+19=86" ]
Current State: 86:[7, 60, 38, 19], Operations: [] Exploring Operation: 7+60=67, Resulting Numbers: [38, 19, 67] Generated Node #2: [38, 19, 67] from Operation: 7+60=67 Current State: 86:[38, 19, 67], Operations: ['7+60=67'] Exploring Operation: 38-19=19, Resulting Numbers: [67, 19] Generated Node #3: [67, 19] from Operation: 38-19=19 Current State: 86:[67, 19], Operations: ['7+60=67', '38-19=19'] Exploring Operation: 67+19=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 5, 19, 49, 89 ]
54
[ "19-5=14", "89-49=40", "14+40=54" ]
Current State: 54:[5, 19, 49, 89], Operations: [] Exploring Operation: 19-5=14, Resulting Numbers: [49, 89, 14] Generated Node #2: [49, 89, 14] from Operation: 19-5=14 Current State: 54:[49, 89, 14], Operations: ['19-5=14'] Exploring Operation: 89-49=40, Resulting Numbers: [14, 40] Generated Node #3: [14, 40] from Operation: 89-49=40 Current State: 54:[14, 40], Operations: ['19-5=14', '89-49=40'] Exploring Operation: 14+40=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 76, 88, 38, 20 ]
66
[ "76/38=2", "88-20=68", "68-2=66" ]
Current State: 66:[76, 88, 38, 20], Operations: [] Exploring Operation: 76/38=2, Resulting Numbers: [88, 20, 2] Generated Node #2: [88, 20, 2] from Operation: 76/38=2 Current State: 66:[88, 20, 2], Operations: ['76/38=2'] Exploring Operation: 88-20=68, Resulting Numbers: [2, 68] Generated Node #3: [2, 68] from Operation: 88-20=68 Current State: 66:[2, 68], Operations: ['76/38=2', '88-20=68'] Exploring Operation: 68-2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 62, 95, 87, 88 ]
34
[ "95-62=33", "88-87=1", "33+1=34" ]
Current State: 34:[62, 95, 87, 88], Operations: [] Exploring Operation: 95-62=33, Resulting Numbers: [87, 88, 33] Generated Node #2: [87, 88, 33] from Operation: 95-62=33 Current State: 34:[87, 88, 33], Operations: ['95-62=33'] Exploring Operation: 88-87=1, Resulting Numbers: [33, 1] Generated Node #3: [33, 1] from Operation: 88-87=1 Current State: 34:[33, 1], Operations: ['95-62=33', '88-87=1'] Exploring Operation: 33+1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 74, 63, 95, 71 ]
67
[ "74*63=4662", "95+4662=4757", "4757/71=67" ]
Current State: 67:[74, 63, 95, 71], Operations: [] Exploring Operation: 74*63=4662, Resulting Numbers: [95, 71, 4662] Generated Node #2: [95, 71, 4662] from Operation: 74*63=4662 Current State: 67:[95, 71, 4662], Operations: ['74*63=4662'] Exploring Operation: 95+4662=4757, Resulting Numbers: [71, 4757] Generated Node #3: [71, 4757] from Operation: 95+4662=4757 Current State: 67:[71, 4757], Operations: ['74*63=4662', '95+4662=4757'] Exploring Operation: 4757/71=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 11, 58, 66, 68 ]
94
[ "58-11=47", "68-66=2", "47*2=94" ]
Current State: 94:[11, 58, 66, 68], Operations: [] Exploring Operation: 58-11=47, Resulting Numbers: [66, 68, 47] Generated Node #2: [66, 68, 47] from Operation: 58-11=47 Current State: 94:[66, 68, 47], Operations: ['58-11=47'] Exploring Operation: 68-66=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 68-66=2 Current State: 94:[47, 2], Operations: ['58-11=47', '68-66=2'] Exploring Operation: 47*2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 49, 8, 72, 37 ]
11
[ "8*72=576", "576-37=539", "539/49=11" ]
Current State: 11:[49, 8, 72, 37], Operations: [] Exploring Operation: 8*72=576, Resulting Numbers: [49, 37, 576] Generated Node #2: [49, 37, 576] from Operation: 8*72=576 Current State: 11:[49, 37, 576], Operations: ['8*72=576'] Exploring Operation: 576-37=539, Resulting Numbers: [49, 539] Generated Node #3: [49, 539] from Operation: 576-37=539 Current State: 11:[49, 539], Operations: ['8*72=576', '576-37=539'] Exploring Operation: 539/49=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4