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
[ 32, 70, 42, 48 ]
96
[ "32+70=102", "48-42=6", "102-6=96" ]
Current State: 96:[32, 70, 42, 48], Operations: [] Exploring Operation: 32+70=102, Resulting Numbers: [42, 48, 102] Generated Node #2: [42, 48, 102] from Operation: 32+70=102 Current State: 96:[42, 48, 102], Operations: ['32+70=102'] Exploring Operation: 48-42=6, Resulting Numbers: [102, 6] Generated Node #3: [102, 6] from Operation: 48-42=6 Current State: 96:[102, 6], Operations: ['32+70=102', '48-42=6'] Exploring Operation: 102-6=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 85, 70, 84, 4 ]
74
[ "85-84=1", "70+4=74", "1*74=74" ]
Current State: 74:[85, 70, 84, 4], Operations: [] Exploring Operation: 85-84=1, Resulting Numbers: [70, 4, 1] Generated Node #2: [70, 4, 1] from Operation: 85-84=1 Current State: 74:[70, 4, 1], Operations: ['85-84=1'] Exploring Operation: 70+4=74, Resulting Numbers: [1, 74] Generated Node #3: [1, 74] from Operation: 70+4=74 Current State: 74:[1, 74], Operations: ['85-84=1', '70+4=74'] Exploring Operation: 1*74=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 35, 9, 3, 33 ]
21
[ "35-9=26", "33-26=7", "3*7=21" ]
Current State: 21:[35, 9, 3, 33], Operations: [] Exploring Operation: 35-9=26, Resulting Numbers: [3, 33, 26] Generated Node #2: [3, 33, 26] from Operation: 35-9=26 Current State: 21:[3, 33, 26], Operations: ['35-9=26'] Exploring Operation: 33-26=7, Resulting Numbers: [3, 7] Generated Node #3: [3, 7] from Operation: 33-26=7 Current State: 21:[3, 7], Operations: ['35-9=26', '33-26=7'] Exploring Operation: 3*7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 34, 77, 17, 95 ]
59
[ "34*77=2618", "2618/17=154", "154-95=59" ]
Current State: 59:[34, 77, 17, 95], Operations: [] Exploring Operation: 34*77=2618, Resulting Numbers: [17, 95, 2618] Generated Node #2: [17, 95, 2618] from Operation: 34*77=2618 Current State: 59:[17, 95, 2618], Operations: ['34*77=2618'] Exploring Operation: 2618/17=154, Resulting Numbers: [95, 154] Generated Node #3: [95, 154] from Operation: 2618/17=154 Current State: 59:[95, 154], Operations: ['34*77=2618', '2618/17=154'] Exploring Operation: 154-95=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 64, 43, 6, 48 ]
14
[ "64+6=70", "48-43=5", "70/5=14" ]
Current State: 14:[64, 43, 6, 48], Operations: [] Exploring Operation: 64+6=70, Resulting Numbers: [43, 48, 70] Generated Node #2: [43, 48, 70] from Operation: 64+6=70 Current State: 14:[43, 48, 70], Operations: ['64+6=70'] Exploring Operation: 48-43=5, Resulting Numbers: [70, 5] Generated Node #3: [70, 5] from Operation: 48-43=5 Current State: 14:[70, 5], Operations: ['64+6=70', '48-43=5'] Exploring Operation: 70/5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 78, 43, 24, 41 ]
52
[ "78-43=35", "41-24=17", "35+17=52" ]
Current State: 52:[78, 43, 24, 41], Operations: [] Exploring Operation: 78-43=35, Resulting Numbers: [24, 41, 35] Generated Node #2: [24, 41, 35] from Operation: 78-43=35 Current State: 52:[24, 41, 35], Operations: ['78-43=35'] Exploring Operation: 41-24=17, Resulting Numbers: [35, 17] Generated Node #3: [35, 17] from Operation: 41-24=17 Current State: 52:[35, 17], Operations: ['78-43=35', '41-24=17'] Exploring Operation: 35+17=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 55, 66, 95, 10 ]
83
[ "66*10=660", "660/55=12", "95-12=83" ]
Current State: 83:[55, 66, 95, 10], Operations: [] Exploring Operation: 66*10=660, Resulting Numbers: [55, 95, 660] Generated Node #2: [55, 95, 660] from Operation: 66*10=660 Current State: 83:[55, 95, 660], Operations: ['66*10=660'] Exploring Operation: 660/55=12, Resulting Numbers: [95, 12] Generated Node #3: [95, 12] from Operation: 660/55=12 Current State: 83:[95, 12], Operations: ['66*10=660', '660/55=12'] Exploring Operation: 95-12=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 29, 52, 3, 47 ]
82
[ "29*3=87", "52-47=5", "87-5=82" ]
Current State: 82:[29, 52, 3, 47], Operations: [] Exploring Operation: 29*3=87, Resulting Numbers: [52, 47, 87] Generated Node #2: [52, 47, 87] from Operation: 29*3=87 Current State: 82:[52, 47, 87], Operations: ['29*3=87'] Exploring Operation: 52-47=5, Resulting Numbers: [87, 5] Generated Node #3: [87, 5] from Operation: 52-47=5 Current State: 82:[87, 5], Operations: ['29*3=87', '52-47=5'] Exploring Operation: 87-5=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 50, 3, 33, 19 ]
67
[ "50+3=53", "33-19=14", "53+14=67" ]
Current State: 67:[50, 3, 33, 19], Operations: [] Exploring Operation: 50+3=53, Resulting Numbers: [33, 19, 53] Generated Node #2: [33, 19, 53] from Operation: 50+3=53 Current State: 67:[33, 19, 53], Operations: ['50+3=53'] Exploring Operation: 33-19=14, Resulting Numbers: [53, 14] Generated Node #3: [53, 14] from Operation: 33-19=14 Current State: 67:[53, 14], Operations: ['50+3=53', '33-19=14'] Exploring Operation: 53+14=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 27, 40, 42, 85 ]
24
[ "27+40=67", "85-42=43", "67-43=24" ]
Current State: 24:[27, 40, 42, 85], Operations: [] Exploring Operation: 27+40=67, Resulting Numbers: [42, 85, 67] Generated Node #2: [42, 85, 67] from Operation: 27+40=67 Current State: 24:[42, 85, 67], Operations: ['27+40=67'] Exploring Operation: 85-42=43, Resulting Numbers: [67, 43] Generated Node #3: [67, 43] from Operation: 85-42=43 Current State: 24:[67, 43], Operations: ['27+40=67', '85-42=43'] Exploring Operation: 67-43=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 5, 92, 61, 68 ]
46
[ "5+61=66", "68-66=2", "92/2=46" ]
Current State: 46:[5, 92, 61, 68], Operations: [] Exploring Operation: 5+61=66, Resulting Numbers: [92, 68, 66] Generated Node #2: [92, 68, 66] from Operation: 5+61=66 Current State: 46:[92, 68, 66], Operations: ['5+61=66'] Exploring Operation: 68-66=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 68-66=2 Current State: 46:[92, 2], Operations: ['5+61=66', '68-66=2'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 83, 15, 44, 5 ]
42
[ "83-44=39", "15/5=3", "39+3=42" ]
Current State: 42:[83, 15, 44, 5], Operations: [] Exploring Operation: 83-44=39, Resulting Numbers: [15, 5, 39] Generated Node #2: [15, 5, 39] from Operation: 83-44=39 Current State: 42:[15, 5, 39], Operations: ['83-44=39'] Exploring Operation: 15/5=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 15/5=3 Current State: 42:[39, 3], Operations: ['83-44=39', '15/5=3'] Exploring Operation: 39+3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 17, 58, 19, 97 ]
57
[ "17*58=986", "97+986=1083", "1083/19=57" ]
Current State: 57:[17, 58, 19, 97], Operations: [] Exploring Operation: 17*58=986, Resulting Numbers: [19, 97, 986] Generated Node #2: [19, 97, 986] from Operation: 17*58=986 Current State: 57:[19, 97, 986], Operations: ['17*58=986'] Exploring Operation: 97+986=1083, Resulting Numbers: [19, 1083] Generated Node #3: [19, 1083] from Operation: 97+986=1083 Current State: 57:[19, 1083], Operations: ['17*58=986', '97+986=1083'] Exploring Operation: 1083/19=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 17, 55, 32, 85 ]
79
[ "55-17=38", "32+85=117", "117-38=79" ]
Current State: 79:[17, 55, 32, 85], Operations: [] Exploring Operation: 55-17=38, Resulting Numbers: [32, 85, 38] Generated Node #2: [32, 85, 38] from Operation: 55-17=38 Current State: 79:[32, 85, 38], Operations: ['55-17=38'] Exploring Operation: 32+85=117, Resulting Numbers: [38, 117] Generated Node #3: [38, 117] from Operation: 32+85=117 Current State: 79:[38, 117], Operations: ['55-17=38', '32+85=117'] Exploring Operation: 117-38=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 55, 8, 55, 71 ]
73
[ "71-55=16", "8*16=128", "128-55=73" ]
Current State: 73:[55, 8, 55, 71], Operations: [] Exploring Operation: 71-55=16, Resulting Numbers: [8, 16] Generated Node #2: [8, 16] from Operation: 71-55=16 Current State: 73:[8, 16], Operations: ['71-55=16'] Exploring Operation: 8*16=128, Resulting Numbers: [128] 128,73 equal: Goal Reached Exploring Operation: 128-55=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 15, 38, 79, 14 ]
12
[ "15+38=53", "79-14=65", "65-53=12" ]
Current State: 12:[15, 38, 79, 14], Operations: [] Exploring Operation: 15+38=53, Resulting Numbers: [79, 14, 53] Generated Node #2: [79, 14, 53] from Operation: 15+38=53 Current State: 12:[79, 14, 53], Operations: ['15+38=53'] Exploring Operation: 79-14=65, Resulting Numbers: [53, 65] Generated Node #3: [53, 65] from Operation: 79-14=65 Current State: 12:[53, 65], Operations: ['15+38=53', '79-14=65'] Exploring Operation: 65-53=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 3, 69, 43, 27 ]
51
[ "69-43=26", "3*26=78", "78-27=51" ]
Current State: 51:[3, 69, 43, 27], Operations: [] Exploring Operation: 69-43=26, Resulting Numbers: [3, 27, 26] Generated Node #2: [3, 27, 26] from Operation: 69-43=26 Current State: 51:[3, 27, 26], Operations: ['69-43=26'] Exploring Operation: 3*26=78, Resulting Numbers: [27, 78] Generated Node #3: [27, 78] from Operation: 3*26=78 Current State: 51:[27, 78], Operations: ['69-43=26', '3*26=78'] Exploring Operation: 78-27=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 62, 19, 41, 64 ]
30
[ "64-62=2", "19+41=60", "60/2=30" ]
Current State: 30:[62, 19, 41, 64], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [19, 41, 2] Generated Node #2: [19, 41, 2] from Operation: 64-62=2 Current State: 30:[19, 41, 2], Operations: ['64-62=2'] Exploring Operation: 19+41=60, Resulting Numbers: [2, 60] Generated Node #3: [2, 60] from Operation: 19+41=60 Current State: 30:[2, 60], Operations: ['64-62=2', '19+41=60'] Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 55, 37, 38, 26 ]
80
[ "55+37=92", "38-26=12", "92-12=80" ]
Current State: 80:[55, 37, 38, 26], Operations: [] Exploring Operation: 55+37=92, Resulting Numbers: [38, 26, 92] Generated Node #2: [38, 26, 92] from Operation: 55+37=92 Current State: 80:[38, 26, 92], Operations: ['55+37=92'] Exploring Operation: 38-26=12, Resulting Numbers: [92, 12] Generated Node #3: [92, 12] from Operation: 38-26=12 Current State: 80:[92, 12], Operations: ['55+37=92', '38-26=12'] Exploring Operation: 92-12=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 8, 16, 93, 59 ]
94
[ "8*16=128", "93-59=34", "128-34=94" ]
Current State: 94:[8, 16, 93, 59], Operations: [] Exploring Operation: 8*16=128, Resulting Numbers: [93, 59, 128] Generated Node #2: [93, 59, 128] from Operation: 8*16=128 Current State: 94:[93, 59, 128], Operations: ['8*16=128'] Exploring Operation: 93-59=34, Resulting Numbers: [128, 34] Generated Node #3: [128, 34] from Operation: 93-59=34 Current State: 94:[128, 34], Operations: ['8*16=128', '93-59=34'] Exploring Operation: 128-34=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 33, 4, 68, 14 ]
83
[ "33-4=29", "68-14=54", "29+54=83" ]
Current State: 83:[33, 4, 68, 14], Operations: [] Exploring Operation: 33-4=29, Resulting Numbers: [68, 14, 29] Generated Node #2: [68, 14, 29] from Operation: 33-4=29 Current State: 83:[68, 14, 29], Operations: ['33-4=29'] Exploring Operation: 68-14=54, Resulting Numbers: [29, 54] Generated Node #3: [29, 54] from Operation: 68-14=54 Current State: 83:[29, 54], Operations: ['33-4=29', '68-14=54'] Exploring Operation: 29+54=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 55, 27, 4, 61 ]
25
[ "55+27=82", "61-4=57", "82-57=25" ]
Current State: 25:[55, 27, 4, 61], Operations: [] Exploring Operation: 55+27=82, Resulting Numbers: [4, 61, 82] Generated Node #2: [4, 61, 82] from Operation: 55+27=82 Current State: 25:[4, 61, 82], Operations: ['55+27=82'] Exploring Operation: 61-4=57, Resulting Numbers: [82, 57] Generated Node #3: [82, 57] from Operation: 61-4=57 Current State: 25:[82, 57], Operations: ['55+27=82', '61-4=57'] Exploring Operation: 82-57=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 62, 30, 88, 20 ]
24
[ "62+30=92", "88-20=68", "92-68=24" ]
Current State: 24:[62, 30, 88, 20], Operations: [] Exploring Operation: 62+30=92, Resulting Numbers: [88, 20, 92] Generated Node #2: [88, 20, 92] from Operation: 62+30=92 Current State: 24:[88, 20, 92], Operations: ['62+30=92'] Exploring Operation: 88-20=68, Resulting Numbers: [92, 68] Generated Node #3: [92, 68] from Operation: 88-20=68 Current State: 24:[92, 68], Operations: ['62+30=92', '88-20=68'] Exploring Operation: 92-68=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 63, 37, 61, 44 ]
59
[ "63-61=2", "44/2=22", "37+22=59" ]
Current State: 59:[63, 37, 61, 44], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [37, 44, 2] Generated Node #2: [37, 44, 2] from Operation: 63-61=2 Current State: 59:[37, 44, 2], Operations: ['63-61=2'] Exploring Operation: 44/2=22, Resulting Numbers: [37, 22] Generated Node #3: [37, 22] from Operation: 44/2=22 Current State: 59:[37, 22], Operations: ['63-61=2', '44/2=22'] Exploring Operation: 37+22=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 57, 54, 10, 23 ]
39
[ "57-54=3", "23-10=13", "3*13=39" ]
Current State: 39:[57, 54, 10, 23], Operations: [] Exploring Operation: 57-54=3, Resulting Numbers: [10, 23, 3] Generated Node #2: [10, 23, 3] from Operation: 57-54=3 Current State: 39:[10, 23, 3], Operations: ['57-54=3'] Exploring Operation: 23-10=13, Resulting Numbers: [3, 13] Generated Node #3: [3, 13] from Operation: 23-10=13 Current State: 39:[3, 13], Operations: ['57-54=3', '23-10=13'] Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 51, 67, 44, 7 ]
21
[ "67-51=16", "44-7=37", "37-16=21" ]
Current State: 21:[51, 67, 44, 7], Operations: [] Exploring Operation: 67-51=16, Resulting Numbers: [44, 7, 16] Generated Node #2: [44, 7, 16] from Operation: 67-51=16 Current State: 21:[44, 7, 16], Operations: ['67-51=16'] Exploring Operation: 44-7=37, Resulting Numbers: [16, 37] Generated Node #3: [16, 37] from Operation: 44-7=37 Current State: 21:[16, 37], Operations: ['67-51=16', '44-7=37'] Exploring Operation: 37-16=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 35, 39, 24, 47 ]
53
[ "39-35=4", "24/4=6", "47+6=53" ]
Current State: 53:[35, 39, 24, 47], Operations: [] Exploring Operation: 39-35=4, Resulting Numbers: [24, 47, 4] Generated Node #2: [24, 47, 4] from Operation: 39-35=4 Current State: 53:[24, 47, 4], Operations: ['39-35=4'] Exploring Operation: 24/4=6, Resulting Numbers: [47, 6] Generated Node #3: [47, 6] from Operation: 24/4=6 Current State: 53:[47, 6], Operations: ['39-35=4', '24/4=6'] Exploring Operation: 47+6=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 4, 94, 88, 17 ]
98
[ "94-88=6", "17*6=102", "102-4=98" ]
Current State: 98:[4, 94, 88, 17], Operations: [] Exploring Operation: 94-88=6, Resulting Numbers: [4, 17, 6] Generated Node #2: [4, 17, 6] from Operation: 94-88=6 Current State: 98:[4, 17, 6], Operations: ['94-88=6'] Exploring Operation: 17*6=102, Resulting Numbers: [4, 102] Generated Node #3: [4, 102] from Operation: 17*6=102 Current State: 98:[4, 102], Operations: ['94-88=6', '17*6=102'] Exploring Operation: 102-4=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 58, 27, 10, 57 ]
78
[ "58-27=31", "57-10=47", "31+47=78" ]
Current State: 78:[58, 27, 10, 57], Operations: [] Exploring Operation: 58-27=31, Resulting Numbers: [10, 57, 31] Generated Node #2: [10, 57, 31] from Operation: 58-27=31 Current State: 78:[10, 57, 31], Operations: ['58-27=31'] Exploring Operation: 57-10=47, Resulting Numbers: [31, 47] Generated Node #3: [31, 47] from Operation: 57-10=47 Current State: 78:[31, 47], Operations: ['58-27=31', '57-10=47'] Exploring Operation: 31+47=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 26, 16, 12, 10 ]
48
[ "26+10=36", "16*36=576", "576/12=48" ]
Current State: 48:[26, 16, 12, 10], Operations: [] Exploring Operation: 26+10=36, Resulting Numbers: [16, 12, 36] Generated Node #2: [16, 12, 36] from Operation: 26+10=36 Current State: 48:[16, 12, 36], Operations: ['26+10=36'] Exploring Operation: 16*36=576, Resulting Numbers: [12, 576] Generated Node #3: [12, 576] from Operation: 16*36=576 Current State: 48:[12, 576], Operations: ['26+10=36', '16*36=576'] Exploring Operation: 576/12=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 21, 81, 23, 2 ]
95
[ "81-23=58", "2*58=116", "116-21=95" ]
Current State: 95:[21, 81, 23, 2], Operations: [] Exploring Operation: 81-23=58, Resulting Numbers: [21, 2, 58] Generated Node #2: [21, 2, 58] from Operation: 81-23=58 Current State: 95:[21, 2, 58], Operations: ['81-23=58'] Exploring Operation: 2*58=116, Resulting Numbers: [21, 116] Generated Node #3: [21, 116] from Operation: 2*58=116 Current State: 95:[21, 116], Operations: ['81-23=58', '2*58=116'] Exploring Operation: 116-21=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 21, 27, 16, 63 ]
25
[ "21*27=567", "567/63=9", "16+9=25" ]
Current State: 25:[21, 27, 16, 63], Operations: [] Exploring Operation: 21*27=567, Resulting Numbers: [16, 63, 567] Generated Node #2: [16, 63, 567] from Operation: 21*27=567 Current State: 25:[16, 63, 567], Operations: ['21*27=567'] Exploring Operation: 567/63=9, Resulting Numbers: [16, 9] Generated Node #3: [16, 9] from Operation: 567/63=9 Current State: 25:[16, 9], Operations: ['21*27=567', '567/63=9'] Exploring Operation: 16+9=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 15, 40, 37, 24 ]
87
[ "40-37=3", "24*3=72", "15+72=87" ]
Current State: 87:[15, 40, 37, 24], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [15, 24, 3] Generated Node #2: [15, 24, 3] from Operation: 40-37=3 Current State: 87:[15, 24, 3], Operations: ['40-37=3'] Exploring Operation: 24*3=72, Resulting Numbers: [15, 72] Generated Node #3: [15, 72] from Operation: 24*3=72 Current State: 87:[15, 72], Operations: ['40-37=3', '24*3=72'] Exploring Operation: 15+72=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 91, 72, 85, 98 ]
79
[ "98-85=13", "91/13=7", "72+7=79" ]
Current State: 79:[91, 72, 85, 98], Operations: [] Exploring Operation: 98-85=13, Resulting Numbers: [91, 72, 13] Generated Node #2: [91, 72, 13] from Operation: 98-85=13 Current State: 79:[91, 72, 13], Operations: ['98-85=13'] Exploring Operation: 91/13=7, Resulting Numbers: [72, 7] Generated Node #3: [72, 7] from Operation: 91/13=7 Current State: 79:[72, 7], Operations: ['98-85=13', '91/13=7'] Exploring Operation: 72+7=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 68, 86, 90, 41 ]
31
[ "86-68=18", "90-41=49", "49-18=31" ]
Current State: 31:[68, 86, 90, 41], Operations: [] Exploring Operation: 86-68=18, Resulting Numbers: [90, 41, 18] Generated Node #2: [90, 41, 18] from Operation: 86-68=18 Current State: 31:[90, 41, 18], Operations: ['86-68=18'] Exploring Operation: 90-41=49, Resulting Numbers: [18, 49] Generated Node #3: [18, 49] from Operation: 90-41=49 Current State: 31:[18, 49], Operations: ['86-68=18', '90-41=49'] Exploring Operation: 49-18=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 3, 11, 66, 50 ]
61
[ "66/3=22", "50-11=39", "22+39=61" ]
Current State: 61:[3, 11, 66, 50], Operations: [] Exploring Operation: 66/3=22, Resulting Numbers: [11, 50, 22] Generated Node #2: [11, 50, 22] from Operation: 66/3=22 Current State: 61:[11, 50, 22], Operations: ['66/3=22'] Exploring Operation: 50-11=39, Resulting Numbers: [22, 39] Generated Node #3: [22, 39] from Operation: 50-11=39 Current State: 61:[22, 39], Operations: ['66/3=22', '50-11=39'] Exploring Operation: 22+39=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 4, 38, 53, 6 ]
29
[ "4*53=212", "212-38=174", "174/6=29" ]
Current State: 29:[4, 38, 53, 6], Operations: [] Exploring Operation: 4*53=212, Resulting Numbers: [38, 6, 212] Generated Node #2: [38, 6, 212] from Operation: 4*53=212 Current State: 29:[38, 6, 212], Operations: ['4*53=212'] Exploring Operation: 212-38=174, Resulting Numbers: [6, 174] Generated Node #3: [6, 174] from Operation: 212-38=174 Current State: 29:[6, 174], Operations: ['4*53=212', '212-38=174'] Exploring Operation: 174/6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 64, 60, 3, 37 ]
79
[ "64+37=101", "60*3=180", "180-101=79" ]
Current State: 79:[64, 60, 3, 37], Operations: [] Exploring Operation: 64+37=101, Resulting Numbers: [60, 3, 101] Generated Node #2: [60, 3, 101] from Operation: 64+37=101 Current State: 79:[60, 3, 101], Operations: ['64+37=101'] Exploring Operation: 60*3=180, Resulting Numbers: [101, 180] Generated Node #3: [101, 180] from Operation: 60*3=180 Current State: 79:[101, 180], Operations: ['64+37=101', '60*3=180'] Exploring Operation: 180-101=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 13, 75, 29, 79 ]
23
[ "79-75=4", "13*4=52", "52-29=23" ]
Current State: 23:[13, 75, 29, 79], Operations: [] Exploring Operation: 79-75=4, Resulting Numbers: [13, 29, 4] Generated Node #2: [13, 29, 4] from Operation: 79-75=4 Current State: 23:[13, 29, 4], Operations: ['79-75=4'] Exploring Operation: 13*4=52, Resulting Numbers: [29, 52] Generated Node #3: [29, 52] from Operation: 13*4=52 Current State: 23:[29, 52], Operations: ['79-75=4', '13*4=52'] Exploring Operation: 52-29=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 56, 5, 38, 64 ]
74
[ "64-38=26", "5*26=130", "130-56=74" ]
Current State: 74:[56, 5, 38, 64], Operations: [] Exploring Operation: 64-38=26, Resulting Numbers: [56, 5, 26] Generated Node #2: [56, 5, 26] from Operation: 64-38=26 Current State: 74:[56, 5, 26], Operations: ['64-38=26'] Exploring Operation: 5*26=130, Resulting Numbers: [56, 130] Generated Node #3: [56, 130] from Operation: 5*26=130 Current State: 74:[56, 130], Operations: ['64-38=26', '5*26=130'] Exploring Operation: 130-56=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 71, 88, 77, 51 ]
31
[ "71+88=159", "77+51=128", "159-128=31" ]
Current State: 31:[71, 88, 77, 51], Operations: [] Exploring Operation: 71+88=159, Resulting Numbers: [77, 51, 159] Generated Node #2: [77, 51, 159] from Operation: 71+88=159 Current State: 31:[77, 51, 159], Operations: ['71+88=159'] Exploring Operation: 77+51=128, Resulting Numbers: [159, 128] Generated Node #3: [159, 128] from Operation: 77+51=128 Current State: 31:[159, 128], Operations: ['71+88=159', '77+51=128'] Exploring Operation: 159-128=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 63, 92, 97, 66 ]
15
[ "66-63=3", "97-92=5", "3*5=15" ]
Current State: 15:[63, 92, 97, 66], Operations: [] Exploring Operation: 66-63=3, Resulting Numbers: [92, 97, 3] Generated Node #2: [92, 97, 3] from Operation: 66-63=3 Current State: 15:[92, 97, 3], Operations: ['66-63=3'] Exploring Operation: 97-92=5, Resulting Numbers: [3, 5] Generated Node #3: [3, 5] from Operation: 97-92=5 Current State: 15:[3, 5], Operations: ['66-63=3', '97-92=5'] Exploring Operation: 3*5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 1, 25, 75, 89 ]
40
[ "1+25=26", "89-75=14", "26+14=40" ]
Current State: 40:[1, 25, 75, 89], Operations: [] Exploring Operation: 1+25=26, Resulting Numbers: [75, 89, 26] Generated Node #2: [75, 89, 26] from Operation: 1+25=26 Current State: 40:[75, 89, 26], Operations: ['1+25=26'] Exploring Operation: 89-75=14, Resulting Numbers: [26, 14] Generated Node #3: [26, 14] from Operation: 89-75=14 Current State: 40:[26, 14], Operations: ['1+25=26', '89-75=14'] Exploring Operation: 26+14=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 54, 98, 99, 57 ]
65
[ "57-54=3", "99/3=33", "98-33=65" ]
Current State: 65:[54, 98, 99, 57], Operations: [] Exploring Operation: 57-54=3, Resulting Numbers: [98, 99, 3] Generated Node #2: [98, 99, 3] from Operation: 57-54=3 Current State: 65:[98, 99, 3], Operations: ['57-54=3'] Exploring Operation: 99/3=33, Resulting Numbers: [98, 33] Generated Node #3: [98, 33] from Operation: 99/3=33 Current State: 65:[98, 33], Operations: ['57-54=3', '99/3=33'] Exploring Operation: 98-33=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 54, 54, 85, 72 ]
63
[ "54*85=4590", "4590-54=4536", "4536/72=63" ]
Current State: 63:[54, 54, 85, 72], Operations: [] Exploring Operation: 54*85=4590, Resulting Numbers: [72, 4590] Generated Node #2: [72, 4590] from Operation: 54*85=4590 Current State: 63:[72, 4590], Operations: ['54*85=4590'] Exploring Operation: 4590-54=4536, Resulting Numbers: [72, 4536] Generated Node #3: [72, 4536] from Operation: 4590-54=4536 Current State: 63:[72, 4536], Operations: ['54*85=4590', '4590-54=4536'] Exploring Operation: 4536/72=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 3, 7, 49, 82 ]
46
[ "7+49=56", "82+56=138", "138/3=46" ]
Current State: 46:[3, 7, 49, 82], Operations: [] Exploring Operation: 7+49=56, Resulting Numbers: [3, 82, 56] Generated Node #2: [3, 82, 56] from Operation: 7+49=56 Current State: 46:[3, 82, 56], Operations: ['7+49=56'] Exploring Operation: 82+56=138, Resulting Numbers: [3, 138] Generated Node #3: [3, 138] from Operation: 82+56=138 Current State: 46:[3, 138], Operations: ['7+49=56', '82+56=138'] Exploring Operation: 138/3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 15, 53, 57, 96 ]
36
[ "57-53=4", "15*4=60", "96-60=36" ]
Current State: 36:[15, 53, 57, 96], Operations: [] Exploring Operation: 57-53=4, Resulting Numbers: [15, 96, 4] Generated Node #2: [15, 96, 4] from Operation: 57-53=4 Current State: 36:[15, 96, 4], Operations: ['57-53=4'] Exploring Operation: 15*4=60, Resulting Numbers: [96, 60] Generated Node #3: [96, 60] from Operation: 15*4=60 Current State: 36:[96, 60], Operations: ['57-53=4', '15*4=60'] Exploring Operation: 96-60=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 50, 61, 34, 59 ]
14
[ "61-50=11", "59-34=25", "25-11=14" ]
Current State: 14:[50, 61, 34, 59], Operations: [] Exploring Operation: 61-50=11, Resulting Numbers: [34, 59, 11] Generated Node #2: [34, 59, 11] from Operation: 61-50=11 Current State: 14:[34, 59, 11], Operations: ['61-50=11'] Exploring Operation: 59-34=25, Resulting Numbers: [11, 25] Generated Node #3: [11, 25] from Operation: 59-34=25 Current State: 14:[11, 25], Operations: ['61-50=11', '59-34=25'] Exploring Operation: 25-11=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 39, 3, 63, 41 ]
63
[ "39+3=42", "42-41=1", "63*1=63" ]
Current State: 63:[39, 3, 63, 41], Operations: [] Exploring Operation: 39+3=42, Resulting Numbers: [63, 41, 42] Generated Node #2: [63, 41, 42] from Operation: 39+3=42 Current State: 63:[63, 41, 42], Operations: ['39+3=42'] Exploring Operation: 42-41=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 42-41=1 Current State: 63:[63, 1], Operations: ['39+3=42', '42-41=1'] Exploring Operation: 63*1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 51, 48, 32, 6 ]
34
[ "51-48=3", "6/3=2", "32+2=34" ]
Current State: 34:[51, 48, 32, 6], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [32, 6, 3] Generated Node #2: [32, 6, 3] from Operation: 51-48=3 Current State: 34:[32, 6, 3], Operations: ['51-48=3'] Exploring Operation: 6/3=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 6/3=2 Current State: 34:[32, 2], Operations: ['51-48=3', '6/3=2'] Exploring Operation: 32+2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 3, 47, 42, 25 ]
54
[ "3*42=126", "47+25=72", "126-72=54" ]
Current State: 54:[3, 47, 42, 25], Operations: [] Exploring Operation: 3*42=126, Resulting Numbers: [47, 25, 126] Generated Node #2: [47, 25, 126] from Operation: 3*42=126 Current State: 54:[47, 25, 126], Operations: ['3*42=126'] Exploring Operation: 47+25=72, Resulting Numbers: [126, 72] Generated Node #3: [126, 72] from Operation: 47+25=72 Current State: 54:[126, 72], Operations: ['3*42=126', '47+25=72'] Exploring Operation: 126-72=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 78, 10, 54, 76 ]
74
[ "78-76=2", "10*2=20", "54+20=74" ]
Current State: 74:[78, 10, 54, 76], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [10, 54, 2] Generated Node #2: [10, 54, 2] from Operation: 78-76=2 Current State: 74:[10, 54, 2], Operations: ['78-76=2'] Exploring Operation: 10*2=20, Resulting Numbers: [54, 20] Generated Node #3: [54, 20] from Operation: 10*2=20 Current State: 74:[54, 20], Operations: ['78-76=2', '10*2=20'] Exploring Operation: 54+20=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 59, 14, 38, 26 ]
70
[ "59-38=21", "26-21=5", "14*5=70" ]
Current State: 70:[59, 14, 38, 26], Operations: [] Exploring Operation: 59-38=21, Resulting Numbers: [14, 26, 21] Generated Node #2: [14, 26, 21] from Operation: 59-38=21 Current State: 70:[14, 26, 21], Operations: ['59-38=21'] Exploring Operation: 26-21=5, Resulting Numbers: [14, 5] Generated Node #3: [14, 5] from Operation: 26-21=5 Current State: 70:[14, 5], Operations: ['59-38=21', '26-21=5'] Exploring Operation: 14*5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 19, 13, 85, 36 ]
79
[ "19-13=6", "36/6=6", "85-6=79" ]
Current State: 79:[19, 13, 85, 36], Operations: [] Exploring Operation: 19-13=6, Resulting Numbers: [85, 36, 6] Generated Node #2: [85, 36, 6] from Operation: 19-13=6 Current State: 79:[85, 36, 6], Operations: ['19-13=6'] Exploring Operation: 36/6=6, Resulting Numbers: [85, 6] Generated Node #3: [85, 6] from Operation: 36/6=6 Current State: 79:[85, 6], Operations: ['19-13=6', '36/6=6'] Exploring Operation: 85-6=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 7, 41, 40, 27 ]
43
[ "27-7=20", "40/20=2", "41+2=43" ]
Current State: 43:[7, 41, 40, 27], Operations: [] Exploring Operation: 27-7=20, Resulting Numbers: [41, 40, 20] Generated Node #2: [41, 40, 20] from Operation: 27-7=20 Current State: 43:[41, 40, 20], Operations: ['27-7=20'] Exploring Operation: 40/20=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 40/20=2 Current State: 43:[41, 2], Operations: ['27-7=20', '40/20=2'] Exploring Operation: 41+2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 37, 32, 35, 4 ]
10
[ "37-32=5", "35+5=40", "40/4=10" ]
Current State: 10:[37, 32, 35, 4], Operations: [] Exploring Operation: 37-32=5, Resulting Numbers: [35, 4, 5] Generated Node #2: [35, 4, 5] from Operation: 37-32=5 Current State: 10:[35, 4, 5], Operations: ['37-32=5'] Exploring Operation: 35+5=40, Resulting Numbers: [4, 40] Generated Node #3: [4, 40] from Operation: 35+5=40 Current State: 10:[4, 40], Operations: ['37-32=5', '35+5=40'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 56, 24, 32, 40 ]
34
[ "56+24=80", "80/40=2", "32+2=34" ]
Current State: 34:[56, 24, 32, 40], Operations: [] Exploring Operation: 56+24=80, Resulting Numbers: [32, 40, 80] Generated Node #2: [32, 40, 80] from Operation: 56+24=80 Current State: 34:[32, 40, 80], Operations: ['56+24=80'] Exploring Operation: 80/40=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 80/40=2 Current State: 34:[32, 2], Operations: ['56+24=80', '80/40=2'] Exploring Operation: 32+2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 81, 9, 58, 65 ]
79
[ "81-9=72", "65-58=7", "72+7=79" ]
Current State: 79:[81, 9, 58, 65], Operations: [] Exploring Operation: 81-9=72, Resulting Numbers: [58, 65, 72] Generated Node #2: [58, 65, 72] from Operation: 81-9=72 Current State: 79:[58, 65, 72], Operations: ['81-9=72'] Exploring Operation: 65-58=7, Resulting Numbers: [72, 7] Generated Node #3: [72, 7] from Operation: 65-58=7 Current State: 79:[72, 7], Operations: ['81-9=72', '65-58=7'] Exploring Operation: 72+7=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 22, 92, 99, 70 ]
99
[ "92-22=70", "99+70=169", "169-70=99" ]
Current State: 99:[22, 92, 99, 70], Operations: [] Exploring Operation: 92-22=70, Resulting Numbers: [99, 70, 70] Generated Node #2: [99, 70, 70] from Operation: 92-22=70 Current State: 99:[99, 70, 70], Operations: ['92-22=70'] Exploring Operation: 99+70=169, Resulting Numbers: [169] 169,99 equal: Goal Reached Exploring Operation: 169-70=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 78, 99, 84, 8 ]
71
[ "99-78=21", "84+8=92", "92-21=71" ]
Current State: 71:[78, 99, 84, 8], Operations: [] Exploring Operation: 99-78=21, Resulting Numbers: [84, 8, 21] Generated Node #2: [84, 8, 21] from Operation: 99-78=21 Current State: 71:[84, 8, 21], Operations: ['99-78=21'] Exploring Operation: 84+8=92, Resulting Numbers: [21, 92] Generated Node #3: [21, 92] from Operation: 84+8=92 Current State: 71:[21, 92], Operations: ['99-78=21', '84+8=92'] Exploring Operation: 92-21=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 80, 33, 28, 99 ]
83
[ "33-28=5", "80/5=16", "99-16=83" ]
Current State: 83:[80, 33, 28, 99], Operations: [] Exploring Operation: 33-28=5, Resulting Numbers: [80, 99, 5] Generated Node #2: [80, 99, 5] from Operation: 33-28=5 Current State: 83:[80, 99, 5], Operations: ['33-28=5'] Exploring Operation: 80/5=16, Resulting Numbers: [99, 16] Generated Node #3: [99, 16] from Operation: 80/5=16 Current State: 83:[99, 16], Operations: ['33-28=5', '80/5=16'] Exploring Operation: 99-16=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 26, 44, 29, 30 ]
17
[ "44-26=18", "30-29=1", "18-1=17" ]
Current State: 17:[26, 44, 29, 30], Operations: [] Exploring Operation: 44-26=18, Resulting Numbers: [29, 30, 18] Generated Node #2: [29, 30, 18] from Operation: 44-26=18 Current State: 17:[29, 30, 18], Operations: ['44-26=18'] Exploring Operation: 30-29=1, Resulting Numbers: [18, 1] Generated Node #3: [18, 1] from Operation: 30-29=1 Current State: 17:[18, 1], Operations: ['44-26=18', '30-29=1'] Exploring Operation: 18-1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 89, 40, 44, 66 ]
19
[ "89+40=129", "44+66=110", "129-110=19" ]
Current State: 19:[89, 40, 44, 66], Operations: [] Exploring Operation: 89+40=129, Resulting Numbers: [44, 66, 129] Generated Node #2: [44, 66, 129] from Operation: 89+40=129 Current State: 19:[44, 66, 129], Operations: ['89+40=129'] Exploring Operation: 44+66=110, Resulting Numbers: [129, 110] Generated Node #3: [129, 110] from Operation: 44+66=110 Current State: 19:[129, 110], Operations: ['89+40=129', '44+66=110'] Exploring Operation: 129-110=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 7, 56, 23, 67 ]
41
[ "56-7=49", "23+67=90", "90-49=41" ]
Current State: 41:[7, 56, 23, 67], Operations: [] Exploring Operation: 56-7=49, Resulting Numbers: [23, 67, 49] Generated Node #2: [23, 67, 49] from Operation: 56-7=49 Current State: 41:[23, 67, 49], Operations: ['56-7=49'] Exploring Operation: 23+67=90, Resulting Numbers: [49, 90] Generated Node #3: [49, 90] from Operation: 23+67=90 Current State: 41:[49, 90], Operations: ['56-7=49', '23+67=90'] Exploring Operation: 90-49=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 2, 14, 43, 7 ]
65
[ "2*43=86", "14+7=21", "86-21=65" ]
Current State: 65:[2, 14, 43, 7], Operations: [] Exploring Operation: 2*43=86, Resulting Numbers: [14, 7, 86] Generated Node #2: [14, 7, 86] from Operation: 2*43=86 Current State: 65:[14, 7, 86], Operations: ['2*43=86'] Exploring Operation: 14+7=21, Resulting Numbers: [86, 21] Generated Node #3: [86, 21] from Operation: 14+7=21 Current State: 65:[86, 21], Operations: ['2*43=86', '14+7=21'] Exploring Operation: 86-21=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 95, 22, 6, 63 ]
30
[ "95+22=117", "63+117=180", "180/6=30" ]
Current State: 30:[95, 22, 6, 63], Operations: [] Exploring Operation: 95+22=117, Resulting Numbers: [6, 63, 117] Generated Node #2: [6, 63, 117] from Operation: 95+22=117 Current State: 30:[6, 63, 117], Operations: ['95+22=117'] Exploring Operation: 63+117=180, Resulting Numbers: [6, 180] Generated Node #3: [6, 180] from Operation: 63+117=180 Current State: 30:[6, 180], Operations: ['95+22=117', '63+117=180'] Exploring Operation: 180/6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 74, 62, 90, 78 ]
32
[ "74+62=136", "90+78=168", "168-136=32" ]
Current State: 32:[74, 62, 90, 78], Operations: [] Exploring Operation: 74+62=136, Resulting Numbers: [90, 78, 136] Generated Node #2: [90, 78, 136] from Operation: 74+62=136 Current State: 32:[90, 78, 136], Operations: ['74+62=136'] Exploring Operation: 90+78=168, Resulting Numbers: [136, 168] Generated Node #3: [136, 168] from Operation: 90+78=168 Current State: 32:[136, 168], Operations: ['74+62=136', '90+78=168'] Exploring Operation: 168-136=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 88, 7, 31, 91 ]
52
[ "91-88=3", "7*3=21", "31+21=52" ]
Current State: 52:[88, 7, 31, 91], Operations: [] Exploring Operation: 91-88=3, Resulting Numbers: [7, 31, 3] Generated Node #2: [7, 31, 3] from Operation: 91-88=3 Current State: 52:[7, 31, 3], Operations: ['91-88=3'] Exploring Operation: 7*3=21, Resulting Numbers: [31, 21] Generated Node #3: [31, 21] from Operation: 7*3=21 Current State: 52:[31, 21], Operations: ['91-88=3', '7*3=21'] Exploring Operation: 31+21=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 53, 7, 21, 31 ]
87
[ "53+31=84", "21/7=3", "84+3=87" ]
Current State: 87:[53, 7, 21, 31], Operations: [] Exploring Operation: 53+31=84, Resulting Numbers: [7, 21, 84] Generated Node #2: [7, 21, 84] from Operation: 53+31=84 Current State: 87:[7, 21, 84], Operations: ['53+31=84'] Exploring Operation: 21/7=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 21/7=3 Current State: 87:[84, 3], Operations: ['53+31=84', '21/7=3'] Exploring Operation: 84+3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 79, 24, 72, 99 ]
68
[ "79+24=103", "72+99=171", "171-103=68" ]
Current State: 68:[79, 24, 72, 99], Operations: [] Exploring Operation: 79+24=103, Resulting Numbers: [72, 99, 103] Generated Node #2: [72, 99, 103] from Operation: 79+24=103 Current State: 68:[72, 99, 103], Operations: ['79+24=103'] Exploring Operation: 72+99=171, Resulting Numbers: [103, 171] Generated Node #3: [103, 171] from Operation: 72+99=171 Current State: 68:[103, 171], Operations: ['79+24=103', '72+99=171'] Exploring Operation: 171-103=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 84, 89, 78, 79 ]
16
[ "84+89=173", "78+79=157", "173-157=16" ]
Current State: 16:[84, 89, 78, 79], Operations: [] Exploring Operation: 84+89=173, Resulting Numbers: [78, 79, 173] Generated Node #2: [78, 79, 173] from Operation: 84+89=173 Current State: 16:[78, 79, 173], Operations: ['84+89=173'] Exploring Operation: 78+79=157, Resulting Numbers: [173, 157] Generated Node #3: [173, 157] from Operation: 78+79=157 Current State: 16:[173, 157], Operations: ['84+89=173', '78+79=157'] Exploring Operation: 173-157=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 21, 42, 58, 47 ]
36
[ "42/21=2", "47*2=94", "94-58=36" ]
Current State: 36:[21, 42, 58, 47], Operations: [] Exploring Operation: 42/21=2, Resulting Numbers: [58, 47, 2] Generated Node #2: [58, 47, 2] from Operation: 42/21=2 Current State: 36:[58, 47, 2], Operations: ['42/21=2'] Exploring Operation: 47*2=94, Resulting Numbers: [58, 94] Generated Node #3: [58, 94] from Operation: 47*2=94 Current State: 36:[58, 94], Operations: ['42/21=2', '47*2=94'] Exploring Operation: 94-58=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 87, 23, 11, 29 ]
31
[ "87/29=3", "23+11=34", "34-3=31" ]
Current State: 31:[87, 23, 11, 29], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [23, 11, 3] Generated Node #2: [23, 11, 3] from Operation: 87/29=3 Current State: 31:[23, 11, 3], Operations: ['87/29=3'] Exploring Operation: 23+11=34, Resulting Numbers: [3, 34] Generated Node #3: [3, 34] from Operation: 23+11=34 Current State: 31:[3, 34], Operations: ['87/29=3', '23+11=34'] Exploring Operation: 34-3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 50, 41, 61, 53 ]
83
[ "50+41=91", "61-53=8", "91-8=83" ]
Current State: 83:[50, 41, 61, 53], Operations: [] Exploring Operation: 50+41=91, Resulting Numbers: [61, 53, 91] Generated Node #2: [61, 53, 91] from Operation: 50+41=91 Current State: 83:[61, 53, 91], Operations: ['50+41=91'] Exploring Operation: 61-53=8, Resulting Numbers: [91, 8] Generated Node #3: [91, 8] from Operation: 61-53=8 Current State: 83:[91, 8], Operations: ['50+41=91', '61-53=8'] Exploring Operation: 91-8=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 30, 23, 41, 16 ]
15
[ "41-23=18", "18-16=2", "30/2=15" ]
Current State: 15:[30, 23, 41, 16], Operations: [] Exploring Operation: 41-23=18, Resulting Numbers: [30, 16, 18] Generated Node #2: [30, 16, 18] from Operation: 41-23=18 Current State: 15:[30, 16, 18], Operations: ['41-23=18'] Exploring Operation: 18-16=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 18-16=2 Current State: 15:[30, 2], Operations: ['41-23=18', '18-16=2'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 80, 33, 50, 9 ]
73
[ "50-33=17", "9*17=153", "153-80=73" ]
Current State: 73:[80, 33, 50, 9], Operations: [] Exploring Operation: 50-33=17, Resulting Numbers: [80, 9, 17] Generated Node #2: [80, 9, 17] from Operation: 50-33=17 Current State: 73:[80, 9, 17], Operations: ['50-33=17'] Exploring Operation: 9*17=153, Resulting Numbers: [80, 153] Generated Node #3: [80, 153] from Operation: 9*17=153 Current State: 73:[80, 153], Operations: ['50-33=17', '9*17=153'] Exploring Operation: 153-80=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 54, 58, 8, 66 ]
87
[ "66-54=12", "58*12=696", "696/8=87" ]
Current State: 87:[54, 58, 8, 66], Operations: [] Exploring Operation: 66-54=12, Resulting Numbers: [58, 8, 12] Generated Node #2: [58, 8, 12] from Operation: 66-54=12 Current State: 87:[58, 8, 12], Operations: ['66-54=12'] Exploring Operation: 58*12=696, Resulting Numbers: [8, 696] Generated Node #3: [8, 696] from Operation: 58*12=696 Current State: 87:[8, 696], Operations: ['66-54=12', '58*12=696'] Exploring Operation: 696/8=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 18, 40, 38, 5 ]
54
[ "40-38=2", "5-2=3", "18*3=54" ]
Current State: 54:[18, 40, 38, 5], Operations: [] Exploring Operation: 40-38=2, Resulting Numbers: [18, 5, 2] Generated Node #2: [18, 5, 2] from Operation: 40-38=2 Current State: 54:[18, 5, 2], Operations: ['40-38=2'] Exploring Operation: 5-2=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 5-2=3 Current State: 54:[18, 3], Operations: ['40-38=2', '5-2=3'] Exploring Operation: 18*3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 46, 16, 42, 20 ]
80
[ "46-42=4", "16*20=320", "320/4=80" ]
Current State: 80:[46, 16, 42, 20], Operations: [] Exploring Operation: 46-42=4, Resulting Numbers: [16, 20, 4] Generated Node #2: [16, 20, 4] from Operation: 46-42=4 Current State: 80:[16, 20, 4], Operations: ['46-42=4'] Exploring Operation: 16*20=320, Resulting Numbers: [4, 320] Generated Node #3: [4, 320] from Operation: 16*20=320 Current State: 80:[4, 320], Operations: ['46-42=4', '16*20=320'] Exploring Operation: 320/4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 4, 55, 83, 11 ]
72
[ "4*11=44", "83-55=28", "44+28=72" ]
Current State: 72:[4, 55, 83, 11], Operations: [] Exploring Operation: 4*11=44, Resulting Numbers: [55, 83, 44] Generated Node #2: [55, 83, 44] from Operation: 4*11=44 Current State: 72:[55, 83, 44], Operations: ['4*11=44'] Exploring Operation: 83-55=28, Resulting Numbers: [44, 28] Generated Node #3: [44, 28] from Operation: 83-55=28 Current State: 72:[44, 28], Operations: ['4*11=44', '83-55=28'] Exploring Operation: 44+28=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 52, 38, 16, 36 ]
10
[ "38-36=2", "52/2=26", "26-16=10" ]
Current State: 10:[52, 38, 16, 36], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [52, 16, 2] Generated Node #2: [52, 16, 2] from Operation: 38-36=2 Current State: 10:[52, 16, 2], Operations: ['38-36=2'] Exploring Operation: 52/2=26, Resulting Numbers: [16, 26] Generated Node #3: [16, 26] from Operation: 52/2=26 Current State: 10:[16, 26], Operations: ['38-36=2', '52/2=26'] Exploring Operation: 26-16=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 90, 6, 63, 40 ]
78
[ "90-63=27", "40-27=13", "6*13=78" ]
Current State: 78:[90, 6, 63, 40], Operations: [] Exploring Operation: 90-63=27, Resulting Numbers: [6, 40, 27] Generated Node #2: [6, 40, 27] from Operation: 90-63=27 Current State: 78:[6, 40, 27], Operations: ['90-63=27'] Exploring Operation: 40-27=13, Resulting Numbers: [6, 13] Generated Node #3: [6, 13] from Operation: 40-27=13 Current State: 78:[6, 13], Operations: ['90-63=27', '40-27=13'] Exploring Operation: 6*13=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 55, 39, 39, 17 ]
72
[ "55+39=94", "39-17=22", "94-22=72" ]
Current State: 72:[55, 39, 39, 17], Operations: [] Exploring Operation: 55+39=94, Resulting Numbers: [17, 94] Generated Node #2: [17, 94] from Operation: 55+39=94 Current State: 72:[17, 94], Operations: ['55+39=94'] Exploring Operation: 39-17=22, Resulting Numbers: [94, 22] Generated Node #3: [94, 22] from Operation: 39-17=22 Current State: 72:[94, 22], Operations: ['55+39=94', '39-17=22'] Exploring Operation: 94-22=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 44, 35, 88, 67 ]
16
[ "88/44=2", "67-35=32", "32/2=16" ]
Current State: 16:[44, 35, 88, 67], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [35, 67, 2] Generated Node #2: [35, 67, 2] from Operation: 88/44=2 Current State: 16:[35, 67, 2], Operations: ['88/44=2'] Exploring Operation: 67-35=32, Resulting Numbers: [2, 32] Generated Node #3: [2, 32] from Operation: 67-35=32 Current State: 16:[2, 32], Operations: ['88/44=2', '67-35=32'] Exploring Operation: 32/2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 31, 44, 62, 67 ]
15
[ "31+44=75", "67-62=5", "75/5=15" ]
Current State: 15:[31, 44, 62, 67], Operations: [] Exploring Operation: 31+44=75, Resulting Numbers: [62, 67, 75] Generated Node #2: [62, 67, 75] from Operation: 31+44=75 Current State: 15:[62, 67, 75], Operations: ['31+44=75'] Exploring Operation: 67-62=5, Resulting Numbers: [75, 5] Generated Node #3: [75, 5] from Operation: 67-62=5 Current State: 15:[75, 5], Operations: ['31+44=75', '67-62=5'] Exploring Operation: 75/5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 29, 34, 96, 49 ]
82
[ "29+34=63", "96+49=145", "145-63=82" ]
Current State: 82:[29, 34, 96, 49], Operations: [] Exploring Operation: 29+34=63, Resulting Numbers: [96, 49, 63] Generated Node #2: [96, 49, 63] from Operation: 29+34=63 Current State: 82:[96, 49, 63], Operations: ['29+34=63'] Exploring Operation: 96+49=145, Resulting Numbers: [63, 145] Generated Node #3: [63, 145] from Operation: 96+49=145 Current State: 82:[63, 145], Operations: ['29+34=63', '96+49=145'] Exploring Operation: 145-63=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 79, 76, 53, 15 ]
41
[ "79-76=3", "53-15=38", "3+38=41" ]
Current State: 41:[79, 76, 53, 15], Operations: [] Exploring Operation: 79-76=3, Resulting Numbers: [53, 15, 3] Generated Node #2: [53, 15, 3] from Operation: 79-76=3 Current State: 41:[53, 15, 3], Operations: ['79-76=3'] Exploring Operation: 53-15=38, Resulting Numbers: [3, 38] Generated Node #3: [3, 38] from Operation: 53-15=38 Current State: 41:[3, 38], Operations: ['79-76=3', '53-15=38'] Exploring Operation: 3+38=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 28, 55, 29, 19 ]
35
[ "28+55=83", "29+19=48", "83-48=35" ]
Current State: 35:[28, 55, 29, 19], Operations: [] Exploring Operation: 28+55=83, Resulting Numbers: [29, 19, 83] Generated Node #2: [29, 19, 83] from Operation: 28+55=83 Current State: 35:[29, 19, 83], Operations: ['28+55=83'] Exploring Operation: 29+19=48, Resulting Numbers: [83, 48] Generated Node #3: [83, 48] from Operation: 29+19=48 Current State: 35:[83, 48], Operations: ['28+55=83', '29+19=48'] Exploring Operation: 83-48=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 63, 60, 26, 94 ]
12
[ "63+26=89", "94-89=5", "60/5=12" ]
Current State: 12:[63, 60, 26, 94], Operations: [] Exploring Operation: 63+26=89, Resulting Numbers: [60, 94, 89] Generated Node #2: [60, 94, 89] from Operation: 63+26=89 Current State: 12:[60, 94, 89], Operations: ['63+26=89'] Exploring Operation: 94-89=5, Resulting Numbers: [60, 5] Generated Node #3: [60, 5] from Operation: 94-89=5 Current State: 12:[60, 5], Operations: ['63+26=89', '94-89=5'] Exploring Operation: 60/5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 42, 74, 50, 38 ]
56
[ "74-42=32", "50+38=88", "88-32=56" ]
Current State: 56:[42, 74, 50, 38], Operations: [] Exploring Operation: 74-42=32, Resulting Numbers: [50, 38, 32] Generated Node #2: [50, 38, 32] from Operation: 74-42=32 Current State: 56:[50, 38, 32], Operations: ['74-42=32'] Exploring Operation: 50+38=88, Resulting Numbers: [32, 88] Generated Node #3: [32, 88] from Operation: 50+38=88 Current State: 56:[32, 88], Operations: ['74-42=32', '50+38=88'] Exploring Operation: 88-32=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 57, 95, 7, 63 ]
82
[ "57+95=152", "7+63=70", "152-70=82" ]
Current State: 82:[57, 95, 7, 63], Operations: [] Exploring Operation: 57+95=152, Resulting Numbers: [7, 63, 152] Generated Node #2: [7, 63, 152] from Operation: 57+95=152 Current State: 82:[7, 63, 152], Operations: ['57+95=152'] Exploring Operation: 7+63=70, Resulting Numbers: [152, 70] Generated Node #3: [152, 70] from Operation: 7+63=70 Current State: 82:[152, 70], Operations: ['57+95=152', '7+63=70'] Exploring Operation: 152-70=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 51, 15, 58, 21 ]
56
[ "51-21=30", "30/15=2", "58-2=56" ]
Current State: 56:[51, 15, 58, 21], Operations: [] Exploring Operation: 51-21=30, Resulting Numbers: [15, 58, 30] Generated Node #2: [15, 58, 30] from Operation: 51-21=30 Current State: 56:[15, 58, 30], Operations: ['51-21=30'] Exploring Operation: 30/15=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 30/15=2 Current State: 56:[58, 2], Operations: ['51-21=30', '30/15=2'] Exploring Operation: 58-2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 57, 72, 6, 24 ]
93
[ "57+24=81", "72/6=12", "81+12=93" ]
Current State: 93:[57, 72, 6, 24], Operations: [] Exploring Operation: 57+24=81, Resulting Numbers: [72, 6, 81] Generated Node #2: [72, 6, 81] from Operation: 57+24=81 Current State: 93:[72, 6, 81], Operations: ['57+24=81'] Exploring Operation: 72/6=12, Resulting Numbers: [81, 12] Generated Node #3: [81, 12] from Operation: 72/6=12 Current State: 93:[81, 12], Operations: ['57+24=81', '72/6=12'] Exploring Operation: 81+12=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 98, 14, 56, 20 ]
93
[ "56/14=4", "20/4=5", "98-5=93" ]
Current State: 93:[98, 14, 56, 20], Operations: [] Exploring Operation: 56/14=4, Resulting Numbers: [98, 20, 4] Generated Node #2: [98, 20, 4] from Operation: 56/14=4 Current State: 93:[98, 20, 4], Operations: ['56/14=4'] Exploring Operation: 20/4=5, Resulting Numbers: [98, 5] Generated Node #3: [98, 5] from Operation: 20/4=5 Current State: 93:[98, 5], Operations: ['56/14=4', '20/4=5'] Exploring Operation: 98-5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 15, 27, 35, 13 ]
76
[ "27*35=945", "945/15=63", "13+63=76" ]
Current State: 76:[15, 27, 35, 13], Operations: [] Exploring Operation: 27*35=945, Resulting Numbers: [15, 13, 945] Generated Node #2: [15, 13, 945] from Operation: 27*35=945 Current State: 76:[15, 13, 945], Operations: ['27*35=945'] Exploring Operation: 945/15=63, Resulting Numbers: [13, 63] Generated Node #3: [13, 63] from Operation: 945/15=63 Current State: 76:[13, 63], Operations: ['27*35=945', '945/15=63'] Exploring Operation: 13+63=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 55, 96, 96, 49 ]
88
[ "96-55=41", "96-49=47", "41+47=88" ]
Current State: 88:[55, 96, 96, 49], Operations: [] Exploring Operation: 96-55=41, Resulting Numbers: [49, 41] Generated Node #2: [49, 41] from Operation: 96-55=41 Current State: 88:[49, 41], Operations: ['96-55=41'] Exploring Operation: 96-49=47, Resulting Numbers: [41, 47] Generated Node #3: [41, 47] from Operation: 96-49=47 Current State: 88:[41, 47], Operations: ['96-55=41', '96-49=47'] Exploring Operation: 41+47=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 5, 73, 83, 89 ]
39
[ "83-73=10", "5*10=50", "89-50=39" ]
Current State: 39:[5, 73, 83, 89], Operations: [] Exploring Operation: 83-73=10, Resulting Numbers: [5, 89, 10] Generated Node #2: [5, 89, 10] from Operation: 83-73=10 Current State: 39:[5, 89, 10], Operations: ['83-73=10'] Exploring Operation: 5*10=50, Resulting Numbers: [89, 50] Generated Node #3: [89, 50] from Operation: 5*10=50 Current State: 39:[89, 50], Operations: ['83-73=10', '5*10=50'] Exploring Operation: 89-50=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 53, 27, 65, 80 ]
64
[ "53+27=80", "80/80=1", "65-1=64" ]
Current State: 64:[53, 27, 65, 80], Operations: [] Exploring Operation: 53+27=80, Resulting Numbers: [65, 80, 80] Generated Node #2: [65, 80, 80] from Operation: 53+27=80 Current State: 64:[65, 80, 80], Operations: ['53+27=80'] Exploring Operation: 80/80=1, Resulting Numbers: [65, 1] Generated Node #3: [65, 1] from Operation: 80/80=1 Current State: 64:[65, 1], Operations: ['53+27=80', '80/80=1'] Exploring Operation: 65-1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 24, 12, 57, 32 ]
11
[ "24+12=36", "57-32=25", "36-25=11" ]
Current State: 11:[24, 12, 57, 32], Operations: [] Exploring Operation: 24+12=36, Resulting Numbers: [57, 32, 36] Generated Node #2: [57, 32, 36] from Operation: 24+12=36 Current State: 11:[57, 32, 36], Operations: ['24+12=36'] Exploring Operation: 57-32=25, Resulting Numbers: [36, 25] Generated Node #3: [36, 25] from Operation: 57-32=25 Current State: 11:[36, 25], Operations: ['24+12=36', '57-32=25'] Exploring Operation: 36-25=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 96, 77, 59, 17 ]
96
[ "77-59=18", "18-17=1", "96*1=96" ]
Current State: 96:[96, 77, 59, 17], Operations: [] Exploring Operation: 77-59=18, Resulting Numbers: [96, 17, 18] Generated Node #2: [96, 17, 18] from Operation: 77-59=18 Current State: 96:[96, 17, 18], Operations: ['77-59=18'] Exploring Operation: 18-17=1, Resulting Numbers: [96, 1] Generated Node #3: [96, 1] from Operation: 18-17=1 Current State: 96:[96, 1], Operations: ['77-59=18', '18-17=1'] Exploring Operation: 96*1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4