Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 8, 4, 6, 80 ]
76
[ "8/4=2", "80-6=74", "2+74=76" ]
Current State: 76:[8, 4, 6, 80], Operations: [] Exploring Operation: 8/4=2, Resulting Numbers: [6, 80, 2] Generated Node #2: [6, 80, 2] from Operation: 8/4=2 Current State: 76:[6, 80, 2], Operations: ['8/4=2'] Exploring Operation: 80-6=74, Resulting Numbers: [2, 74] Generated Node #3: [2, 74] from Operation: 80-6=74 Current State: 76:[2, 74], Operations: ['8/4=2', '80-6=74'] Exploring Operation: 2+74=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 7, 72, 96, 24 ]
25
[ "7*72=504", "96+504=600", "600/24=25" ]
Current State: 25:[7, 72, 96, 24], Operations: [] Exploring Operation: 7*72=504, Resulting Numbers: [96, 24, 504] Generated Node #2: [96, 24, 504] from Operation: 7*72=504 Current State: 25:[96, 24, 504], Operations: ['7*72=504'] Exploring Operation: 96+504=600, Resulting Numbers: [24, 600] Generated Node #3: [24, 600] from Operation: 96+504=600 Current State: 25:[24, 600], Operations: ['7*72=504', '96+504=600'] Exploring Operation: 600/24=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 32, 44, 22, 19 ]
49
[ "32+19=51", "44/22=2", "51-2=49" ]
Current State: 49:[32, 44, 22, 19], Operations: [] Exploring Operation: 32+19=51, Resulting Numbers: [44, 22, 51] Generated Node #2: [44, 22, 51] from Operation: 32+19=51 Current State: 49:[44, 22, 51], Operations: ['32+19=51'] Exploring Operation: 44/22=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 44/22=2 Current State: 49:[51, 2], Operations: ['32+19=51', '44/22=2'] Exploring Operation: 51-2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 72, 33, 57, 61 ]
43
[ "72-33=39", "61-57=4", "39+4=43" ]
Current State: 43:[72, 33, 57, 61], Operations: [] Exploring Operation: 72-33=39, Resulting Numbers: [57, 61, 39] Generated Node #2: [57, 61, 39] from Operation: 72-33=39 Current State: 43:[57, 61, 39], Operations: ['72-33=39'] Exploring Operation: 61-57=4, Resulting Numbers: [39, 4] Generated Node #3: [39, 4] from Operation: 61-57=4 Current State: 43:[39, 4], Operations: ['72-33=39', '61-57=4'] Exploring Operation: 39+4=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 21, 56, 76, 54 ]
53
[ "21+56=77", "76+54=130", "130-77=53" ]
Current State: 53:[21, 56, 76, 54], Operations: [] Exploring Operation: 21+56=77, Resulting Numbers: [76, 54, 77] Generated Node #2: [76, 54, 77] from Operation: 21+56=77 Current State: 53:[76, 54, 77], Operations: ['21+56=77'] Exploring Operation: 76+54=130, Resulting Numbers: [77, 130] Generated Node #3: [77, 130] from Operation: 76+54=130 Current State: 53:[77, 130], Operations: ['21+56=77', '76+54=130'] Exploring Operation: 130-77=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 4, 18, 24, 79 ]
29
[ "24/4=6", "18*6=108", "108-79=29" ]
Current State: 29:[4, 18, 24, 79], Operations: [] Exploring Operation: 24/4=6, Resulting Numbers: [18, 79, 6] Generated Node #2: [18, 79, 6] from Operation: 24/4=6 Current State: 29:[18, 79, 6], Operations: ['24/4=6'] Exploring Operation: 18*6=108, Resulting Numbers: [79, 108] Generated Node #3: [79, 108] from Operation: 18*6=108 Current State: 29:[79, 108], Operations: ['24/4=6', '18*6=108'] Exploring Operation: 108-79=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 82, 83, 84, 58 ]
27
[ "83-82=1", "84-58=26", "1+26=27" ]
Current State: 27:[82, 83, 84, 58], Operations: [] Exploring Operation: 83-82=1, Resulting Numbers: [84, 58, 1] Generated Node #2: [84, 58, 1] from Operation: 83-82=1 Current State: 27:[84, 58, 1], Operations: ['83-82=1'] Exploring Operation: 84-58=26, Resulting Numbers: [1, 26] Generated Node #3: [1, 26] from Operation: 84-58=26 Current State: 27:[1, 26], Operations: ['83-82=1', '84-58=26'] Exploring Operation: 1+26=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 64, 57, 77, 25 ]
75
[ "57-25=32", "64/32=2", "77-2=75" ]
Current State: 75:[64, 57, 77, 25], Operations: [] Exploring Operation: 57-25=32, Resulting Numbers: [64, 77, 32] Generated Node #2: [64, 77, 32] from Operation: 57-25=32 Current State: 75:[64, 77, 32], Operations: ['57-25=32'] Exploring Operation: 64/32=2, Resulting Numbers: [77, 2] Generated Node #3: [77, 2] from Operation: 64/32=2 Current State: 75:[77, 2], Operations: ['57-25=32', '64/32=2'] Exploring Operation: 77-2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 84, 26, 28, 64 ]
41
[ "84/28=3", "64-26=38", "3+38=41" ]
Current State: 41:[84, 26, 28, 64], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [26, 64, 3] Generated Node #2: [26, 64, 3] from Operation: 84/28=3 Current State: 41:[26, 64, 3], Operations: ['84/28=3'] Exploring Operation: 64-26=38, Resulting Numbers: [3, 38] Generated Node #3: [3, 38] from Operation: 64-26=38 Current State: 41:[3, 38], Operations: ['84/28=3', '64-26=38'] Exploring Operation: 3+38=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 45, 28, 56, 7 ]
72
[ "45*56=2520", "28+7=35", "2520/35=72" ]
Current State: 72:[45, 28, 56, 7], Operations: [] Exploring Operation: 45*56=2520, Resulting Numbers: [28, 7, 2520] Generated Node #2: [28, 7, 2520] from Operation: 45*56=2520 Current State: 72:[28, 7, 2520], Operations: ['45*56=2520'] Exploring Operation: 28+7=35, Resulting Numbers: [2520, 35] Generated Node #3: [2520, 35] from Operation: 28+7=35 Current State: 72:[2520, 35], Operations: ['45*56=2520', '28+7=35'] Exploring Operation: 2520/35=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 98, 42, 56, 12 ]
96
[ "98+42=140", "56-12=44", "140-44=96" ]
Current State: 96:[98, 42, 56, 12], Operations: [] Exploring Operation: 98+42=140, Resulting Numbers: [56, 12, 140] Generated Node #2: [56, 12, 140] from Operation: 98+42=140 Current State: 96:[56, 12, 140], Operations: ['98+42=140'] Exploring Operation: 56-12=44, Resulting Numbers: [140, 44] Generated Node #3: [140, 44] from Operation: 56-12=44 Current State: 96:[140, 44], Operations: ['98+42=140', '56-12=44'] Exploring Operation: 140-44=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 37, 75, 19, 77 ]
54
[ "37+75=112", "77-19=58", "112-58=54" ]
Current State: 54:[37, 75, 19, 77], Operations: [] Exploring Operation: 37+75=112, Resulting Numbers: [19, 77, 112] Generated Node #2: [19, 77, 112] from Operation: 37+75=112 Current State: 54:[19, 77, 112], Operations: ['37+75=112'] Exploring Operation: 77-19=58, Resulting Numbers: [112, 58] Generated Node #3: [112, 58] from Operation: 77-19=58 Current State: 54:[112, 58], Operations: ['37+75=112', '77-19=58'] Exploring Operation: 112-58=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 34, 21, 2, 84 ]
79
[ "84-34=50", "2*50=100", "100-21=79" ]
Current State: 79:[34, 21, 2, 84], Operations: [] Exploring Operation: 84-34=50, Resulting Numbers: [21, 2, 50] Generated Node #2: [21, 2, 50] from Operation: 84-34=50 Current State: 79:[21, 2, 50], Operations: ['84-34=50'] Exploring Operation: 2*50=100, Resulting Numbers: [21, 100] Generated Node #3: [21, 100] from Operation: 2*50=100 Current State: 79:[21, 100], Operations: ['84-34=50', '2*50=100'] Exploring Operation: 100-21=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 78, 86, 54, 15 ]
47
[ "86-78=8", "54-15=39", "8+39=47" ]
Current State: 47:[78, 86, 54, 15], Operations: [] Exploring Operation: 86-78=8, Resulting Numbers: [54, 15, 8] Generated Node #2: [54, 15, 8] from Operation: 86-78=8 Current State: 47:[54, 15, 8], Operations: ['86-78=8'] Exploring Operation: 54-15=39, Resulting Numbers: [8, 39] Generated Node #3: [8, 39] from Operation: 54-15=39 Current State: 47:[8, 39], Operations: ['86-78=8', '54-15=39'] Exploring Operation: 8+39=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 30, 10, 60, 9 ]
87
[ "30/10=3", "9*3=27", "60+27=87" ]
Current State: 87:[30, 10, 60, 9], Operations: [] Exploring Operation: 30/10=3, Resulting Numbers: [60, 9, 3] Generated Node #2: [60, 9, 3] from Operation: 30/10=3 Current State: 87:[60, 9, 3], Operations: ['30/10=3'] Exploring Operation: 9*3=27, Resulting Numbers: [60, 27] Generated Node #3: [60, 27] from Operation: 9*3=27 Current State: 87:[60, 27], Operations: ['30/10=3', '9*3=27'] Exploring Operation: 60+27=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 43, 35, 77, 90 ]
65
[ "43+35=78", "90-77=13", "78-13=65" ]
Current State: 65:[43, 35, 77, 90], Operations: [] Exploring Operation: 43+35=78, Resulting Numbers: [77, 90, 78] Generated Node #2: [77, 90, 78] from Operation: 43+35=78 Current State: 65:[77, 90, 78], Operations: ['43+35=78'] Exploring Operation: 90-77=13, Resulting Numbers: [78, 13] Generated Node #3: [78, 13] from Operation: 90-77=13 Current State: 65:[78, 13], Operations: ['43+35=78', '90-77=13'] Exploring Operation: 78-13=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 28, 34, 78, 35 ]
31
[ "34+78=112", "112/28=4", "35-4=31" ]
Current State: 31:[28, 34, 78, 35], Operations: [] Exploring Operation: 34+78=112, Resulting Numbers: [28, 35, 112] Generated Node #2: [28, 35, 112] from Operation: 34+78=112 Current State: 31:[28, 35, 112], Operations: ['34+78=112'] Exploring Operation: 112/28=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 112/28=4 Current State: 31:[35, 4], Operations: ['34+78=112', '112/28=4'] Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 93, 30, 12, 78 ]
96
[ "12+78=90", "90/30=3", "93+3=96" ]
Current State: 96:[93, 30, 12, 78], Operations: [] Exploring Operation: 12+78=90, Resulting Numbers: [93, 30, 90] Generated Node #2: [93, 30, 90] from Operation: 12+78=90 Current State: 96:[93, 30, 90], Operations: ['12+78=90'] Exploring Operation: 90/30=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 90/30=3 Current State: 96:[93, 3], Operations: ['12+78=90', '90/30=3'] Exploring Operation: 93+3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 37, 2, 10, 10 ]
73
[ "37*2=74", "10/10=1", "74-1=73" ]
Current State: 73:[37, 2, 10, 10], Operations: [] Exploring Operation: 37*2=74, Resulting Numbers: [10, 10, 74] Generated Node #2: [10, 10, 74] from Operation: 37*2=74 Current State: 73:[10, 10, 74], Operations: ['37*2=74'] Exploring Operation: 10/10=1, Resulting Numbers: [74, 1] Generated Node #3: [74, 1] from Operation: 10/10=1 Current State: 73:[74, 1], Operations: ['37*2=74', '10/10=1'] Exploring Operation: 74-1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 59, 34, 57, 15 ]
47
[ "59-34=25", "57+15=72", "72-25=47" ]
Current State: 47:[59, 34, 57, 15], Operations: [] Exploring Operation: 59-34=25, Resulting Numbers: [57, 15, 25] Generated Node #2: [57, 15, 25] from Operation: 59-34=25 Current State: 47:[57, 15, 25], Operations: ['59-34=25'] Exploring Operation: 57+15=72, Resulting Numbers: [25, 72] Generated Node #3: [25, 72] from Operation: 57+15=72 Current State: 47:[25, 72], Operations: ['59-34=25', '57+15=72'] Exploring Operation: 72-25=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 62, 46, 77, 20 ]
22
[ "77-46=31", "62/31=2", "20+2=22" ]
Current State: 22:[62, 46, 77, 20], Operations: [] Exploring Operation: 77-46=31, Resulting Numbers: [62, 20, 31] Generated Node #2: [62, 20, 31] from Operation: 77-46=31 Current State: 22:[62, 20, 31], Operations: ['77-46=31'] Exploring Operation: 62/31=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 62/31=2 Current State: 22:[20, 2], Operations: ['77-46=31', '62/31=2'] Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 62, 4, 58, 35 ]
50
[ "62-35=27", "4*27=108", "108-58=50" ]
Current State: 50:[62, 4, 58, 35], Operations: [] Exploring Operation: 62-35=27, Resulting Numbers: [4, 58, 27] Generated Node #2: [4, 58, 27] from Operation: 62-35=27 Current State: 50:[4, 58, 27], Operations: ['62-35=27'] Exploring Operation: 4*27=108, Resulting Numbers: [58, 108] Generated Node #3: [58, 108] from Operation: 4*27=108 Current State: 50:[58, 108], Operations: ['62-35=27', '4*27=108'] Exploring Operation: 108-58=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 39, 45, 78, 48 ]
13
[ "78-39=39", "48-45=3", "39/3=13" ]
Current State: 13:[39, 45, 78, 48], Operations: [] Exploring Operation: 78-39=39, Resulting Numbers: [45, 48, 39] Generated Node #2: [45, 48, 39] from Operation: 78-39=39 Current State: 13:[45, 48, 39], Operations: ['78-39=39'] Exploring Operation: 48-45=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 48-45=3 Current State: 13:[39, 3], Operations: ['78-39=39', '48-45=3'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 82, 34, 73, 59 ]
39
[ "82*34=2788", "59+2788=2847", "2847/73=39" ]
Current State: 39:[82, 34, 73, 59], Operations: [] Exploring Operation: 82*34=2788, Resulting Numbers: [73, 59, 2788] Generated Node #2: [73, 59, 2788] from Operation: 82*34=2788 Current State: 39:[73, 59, 2788], Operations: ['82*34=2788'] Exploring Operation: 59+2788=2847, Resulting Numbers: [73, 2847] Generated Node #3: [73, 2847] from Operation: 59+2788=2847 Current State: 39:[73, 2847], Operations: ['82*34=2788', '59+2788=2847'] Exploring Operation: 2847/73=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 14, 3, 76, 83 ]
10
[ "14+3=17", "83-76=7", "17-7=10" ]
Current State: 10:[14, 3, 76, 83], Operations: [] Exploring Operation: 14+3=17, Resulting Numbers: [76, 83, 17] Generated Node #2: [76, 83, 17] from Operation: 14+3=17 Current State: 10:[76, 83, 17], Operations: ['14+3=17'] Exploring Operation: 83-76=7, Resulting Numbers: [17, 7] Generated Node #3: [17, 7] from Operation: 83-76=7 Current State: 10:[17, 7], Operations: ['14+3=17', '83-76=7'] Exploring Operation: 17-7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 68, 79, 40, 2 ]
68
[ "40*2=80", "80-79=1", "68*1=68" ]
Current State: 68:[68, 79, 40, 2], Operations: [] Exploring Operation: 40*2=80, Resulting Numbers: [68, 79, 80] Generated Node #2: [68, 79, 80] from Operation: 40*2=80 Current State: 68:[68, 79, 80], Operations: ['40*2=80'] Exploring Operation: 80-79=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 80-79=1 Current State: 68:[68, 1], Operations: ['40*2=80', '80-79=1'] Exploring Operation: 68*1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 55, 34, 20, 42 ]
67
[ "55+34=89", "42-20=22", "89-22=67" ]
Current State: 67:[55, 34, 20, 42], Operations: [] Exploring Operation: 55+34=89, Resulting Numbers: [20, 42, 89] Generated Node #2: [20, 42, 89] from Operation: 55+34=89 Current State: 67:[20, 42, 89], Operations: ['55+34=89'] Exploring Operation: 42-20=22, Resulting Numbers: [89, 22] Generated Node #3: [89, 22] from Operation: 42-20=22 Current State: 67:[89, 22], Operations: ['55+34=89', '42-20=22'] Exploring Operation: 89-22=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 53, 78, 45, 36 ]
50
[ "53+78=131", "45+36=81", "131-81=50" ]
Current State: 50:[53, 78, 45, 36], Operations: [] Exploring Operation: 53+78=131, Resulting Numbers: [45, 36, 131] Generated Node #2: [45, 36, 131] from Operation: 53+78=131 Current State: 50:[45, 36, 131], Operations: ['53+78=131'] Exploring Operation: 45+36=81, Resulting Numbers: [131, 81] Generated Node #3: [131, 81] from Operation: 45+36=81 Current State: 50:[131, 81], Operations: ['53+78=131', '45+36=81'] Exploring Operation: 131-81=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 21, 2, 41, 4 ]
56
[ "21-2=19", "41-4=37", "19+37=56" ]
Current State: 56:[21, 2, 41, 4], Operations: [] Exploring Operation: 21-2=19, Resulting Numbers: [41, 4, 19] Generated Node #2: [41, 4, 19] from Operation: 21-2=19 Current State: 56:[41, 4, 19], Operations: ['21-2=19'] Exploring Operation: 41-4=37, Resulting Numbers: [19, 37] Generated Node #3: [19, 37] from Operation: 41-4=37 Current State: 56:[19, 37], Operations: ['21-2=19', '41-4=37'] Exploring Operation: 19+37=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 20, 27, 70, 34 ]
11
[ "20+27=47", "70-34=36", "47-36=11" ]
Current State: 11:[20, 27, 70, 34], Operations: [] Exploring Operation: 20+27=47, Resulting Numbers: [70, 34, 47] Generated Node #2: [70, 34, 47] from Operation: 20+27=47 Current State: 11:[70, 34, 47], Operations: ['20+27=47'] Exploring Operation: 70-34=36, Resulting Numbers: [47, 36] Generated Node #3: [47, 36] from Operation: 70-34=36 Current State: 11:[47, 36], Operations: ['20+27=47', '70-34=36'] Exploring Operation: 47-36=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 84, 29, 65, 51 ]
35
[ "65-51=14", "84/14=6", "29+6=35" ]
Current State: 35:[84, 29, 65, 51], Operations: [] Exploring Operation: 65-51=14, Resulting Numbers: [84, 29, 14] Generated Node #2: [84, 29, 14] from Operation: 65-51=14 Current State: 35:[84, 29, 14], Operations: ['65-51=14'] Exploring Operation: 84/14=6, Resulting Numbers: [29, 6] Generated Node #3: [29, 6] from Operation: 84/14=6 Current State: 35:[29, 6], Operations: ['65-51=14', '84/14=6'] Exploring Operation: 29+6=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 66, 19, 15, 6 ]
18
[ "66+6=72", "19-15=4", "72/4=18" ]
Current State: 18:[66, 19, 15, 6], Operations: [] Exploring Operation: 66+6=72, Resulting Numbers: [19, 15, 72] Generated Node #2: [19, 15, 72] from Operation: 66+6=72 Current State: 18:[19, 15, 72], Operations: ['66+6=72'] Exploring Operation: 19-15=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 19-15=4 Current State: 18:[72, 4], Operations: ['66+6=72', '19-15=4'] Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 75, 46, 6, 43 ]
78
[ "75-46=29", "6+43=49", "29+49=78" ]
Current State: 78:[75, 46, 6, 43], Operations: [] Exploring Operation: 75-46=29, Resulting Numbers: [6, 43, 29] Generated Node #2: [6, 43, 29] from Operation: 75-46=29 Current State: 78:[6, 43, 29], Operations: ['75-46=29'] Exploring Operation: 6+43=49, Resulting Numbers: [29, 49] Generated Node #3: [29, 49] from Operation: 6+43=49 Current State: 78:[29, 49], Operations: ['75-46=29', '6+43=49'] Exploring Operation: 29+49=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 68, 3, 79, 13 ]
86
[ "68-13=55", "3*55=165", "165-79=86" ]
Current State: 86:[68, 3, 79, 13], Operations: [] Exploring Operation: 68-13=55, Resulting Numbers: [3, 79, 55] Generated Node #2: [3, 79, 55] from Operation: 68-13=55 Current State: 86:[3, 79, 55], Operations: ['68-13=55'] Exploring Operation: 3*55=165, Resulting Numbers: [79, 165] Generated Node #3: [79, 165] from Operation: 3*55=165 Current State: 86:[79, 165], Operations: ['68-13=55', '3*55=165'] Exploring Operation: 165-79=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 32, 28, 45, 6 ]
47
[ "32-28=4", "45+6=51", "51-4=47" ]
Current State: 47:[32, 28, 45, 6], Operations: [] Exploring Operation: 32-28=4, Resulting Numbers: [45, 6, 4] Generated Node #2: [45, 6, 4] from Operation: 32-28=4 Current State: 47:[45, 6, 4], Operations: ['32-28=4'] Exploring Operation: 45+6=51, Resulting Numbers: [4, 51] Generated Node #3: [4, 51] from Operation: 45+6=51 Current State: 47:[4, 51], Operations: ['32-28=4', '45+6=51'] Exploring Operation: 51-4=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 74, 36, 19, 38 ]
92
[ "36*19=684", "684/38=18", "74+18=92" ]
Current State: 92:[74, 36, 19, 38], Operations: [] Exploring Operation: 36*19=684, Resulting Numbers: [74, 38, 684] Generated Node #2: [74, 38, 684] from Operation: 36*19=684 Current State: 92:[74, 38, 684], Operations: ['36*19=684'] Exploring Operation: 684/38=18, Resulting Numbers: [74, 18] Generated Node #3: [74, 18] from Operation: 684/38=18 Current State: 92:[74, 18], Operations: ['36*19=684', '684/38=18'] Exploring Operation: 74+18=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 38, 27, 10, 4 ]
17
[ "38-27=11", "10-4=6", "11+6=17" ]
Current State: 17:[38, 27, 10, 4], Operations: [] Exploring Operation: 38-27=11, Resulting Numbers: [10, 4, 11] Generated Node #2: [10, 4, 11] from Operation: 38-27=11 Current State: 17:[10, 4, 11], Operations: ['38-27=11'] Exploring Operation: 10-4=6, Resulting Numbers: [11, 6] Generated Node #3: [11, 6] from Operation: 10-4=6 Current State: 17:[11, 6], Operations: ['38-27=11', '10-4=6'] Exploring Operation: 11+6=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 11, 22, 35, 41 ]
12
[ "22/11=2", "41-35=6", "2*6=12" ]
Current State: 12:[11, 22, 35, 41], Operations: [] Exploring Operation: 22/11=2, Resulting Numbers: [35, 41, 2] Generated Node #2: [35, 41, 2] from Operation: 22/11=2 Current State: 12:[35, 41, 2], Operations: ['22/11=2'] Exploring Operation: 41-35=6, Resulting Numbers: [2, 6] Generated Node #3: [2, 6] from Operation: 41-35=6 Current State: 12:[2, 6], Operations: ['22/11=2', '41-35=6'] Exploring Operation: 2*6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 11, 40, 6, 60 ]
80
[ "11*40=440", "6*60=360", "440-360=80" ]
Current State: 80:[11, 40, 6, 60], Operations: [] Exploring Operation: 11*40=440, Resulting Numbers: [6, 60, 440] Generated Node #2: [6, 60, 440] from Operation: 11*40=440 Current State: 80:[6, 60, 440], Operations: ['11*40=440'] Exploring Operation: 6*60=360, Resulting Numbers: [440, 360] Generated Node #3: [440, 360] from Operation: 6*60=360 Current State: 80:[440, 360], Operations: ['11*40=440', '6*60=360'] Exploring Operation: 440-360=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 16, 41, 5, 60 ]
37
[ "41-16=25", "60/5=12", "25+12=37" ]
Current State: 37:[16, 41, 5, 60], Operations: [] Exploring Operation: 41-16=25, Resulting Numbers: [5, 60, 25] Generated Node #2: [5, 60, 25] from Operation: 41-16=25 Current State: 37:[5, 60, 25], Operations: ['41-16=25'] Exploring Operation: 60/5=12, Resulting Numbers: [25, 12] Generated Node #3: [25, 12] from Operation: 60/5=12 Current State: 37:[25, 12], Operations: ['41-16=25', '60/5=12'] Exploring Operation: 25+12=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 80, 6, 76, 59 ]
35
[ "80-76=4", "6*4=24", "59-24=35" ]
Current State: 35:[80, 6, 76, 59], Operations: [] Exploring Operation: 80-76=4, Resulting Numbers: [6, 59, 4] Generated Node #2: [6, 59, 4] from Operation: 80-76=4 Current State: 35:[6, 59, 4], Operations: ['80-76=4'] Exploring Operation: 6*4=24, Resulting Numbers: [59, 24] Generated Node #3: [59, 24] from Operation: 6*4=24 Current State: 35:[59, 24], Operations: ['80-76=4', '6*4=24'] Exploring Operation: 59-24=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 96, 44, 50, 32 ]
48
[ "50-44=6", "96/6=16", "32+16=48" ]
Current State: 48:[96, 44, 50, 32], Operations: [] Exploring Operation: 50-44=6, Resulting Numbers: [96, 32, 6] Generated Node #2: [96, 32, 6] from Operation: 50-44=6 Current State: 48:[96, 32, 6], Operations: ['50-44=6'] Exploring Operation: 96/6=16, Resulting Numbers: [32, 16] Generated Node #3: [32, 16] from Operation: 96/6=16 Current State: 48:[32, 16], Operations: ['50-44=6', '96/6=16'] Exploring Operation: 32+16=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 48, 67, 35, 50 ]
55
[ "48*50=2400", "67*35=2345", "2400-2345=55" ]
Current State: 55:[48, 67, 35, 50], Operations: [] Exploring Operation: 48*50=2400, Resulting Numbers: [67, 35, 2400] Generated Node #2: [67, 35, 2400] from Operation: 48*50=2400 Current State: 55:[67, 35, 2400], Operations: ['48*50=2400'] Exploring Operation: 67*35=2345, Resulting Numbers: [2400, 2345] Generated Node #3: [2400, 2345] from Operation: 67*35=2345 Current State: 55:[2400, 2345], Operations: ['48*50=2400', '67*35=2345'] Exploring Operation: 2400-2345=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 51, 51, 99, 47 ]
12
[ "99-51=48", "51-47=4", "48/4=12" ]
Current State: 12:[51, 51, 99, 47], Operations: [] Exploring Operation: 99-51=48, Resulting Numbers: [47, 48] Generated Node #2: [47, 48] from Operation: 99-51=48 Current State: 12:[47, 48], Operations: ['99-51=48'] Exploring Operation: 51-47=4, Resulting Numbers: [48, 4] Generated Node #3: [48, 4] from Operation: 51-47=4 Current State: 12:[48, 4], Operations: ['99-51=48', '51-47=4'] Exploring Operation: 48/4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 90, 6, 22, 82 ]
24
[ "90-6=84", "82-22=60", "84-60=24" ]
Current State: 24:[90, 6, 22, 82], Operations: [] Exploring Operation: 90-6=84, Resulting Numbers: [22, 82, 84] Generated Node #2: [22, 82, 84] from Operation: 90-6=84 Current State: 24:[22, 82, 84], Operations: ['90-6=84'] Exploring Operation: 82-22=60, Resulting Numbers: [84, 60] Generated Node #3: [84, 60] from Operation: 82-22=60 Current State: 24:[84, 60], Operations: ['90-6=84', '82-22=60'] Exploring Operation: 84-60=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 87, 91, 20, 53 ]
58
[ "91-87=4", "20/4=5", "53+5=58" ]
Current State: 58:[87, 91, 20, 53], Operations: [] Exploring Operation: 91-87=4, Resulting Numbers: [20, 53, 4] Generated Node #2: [20, 53, 4] from Operation: 91-87=4 Current State: 58:[20, 53, 4], Operations: ['91-87=4'] Exploring Operation: 20/4=5, Resulting Numbers: [53, 5] Generated Node #3: [53, 5] from Operation: 20/4=5 Current State: 58:[53, 5], Operations: ['91-87=4', '20/4=5'] Exploring Operation: 53+5=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 24, 30, 61, 24 ]
30
[ "24-24=0", "61*0=0", "30+0=30" ]
Current State: 30:[24, 30, 61, 24], Operations: [] Exploring Operation: 24-24=0, Resulting Numbers: [30, 61, 0] Generated Node #2: [30, 61, 0] from Operation: 24-24=0 Current State: 30:[30, 61, 0], Operations: ['24-24=0'] Exploring Operation: 61*0=0, Resulting Numbers: [30, 0] Generated Node #3: [30, 0] from Operation: 61*0=0 Current State: 30:[30, 0], Operations: ['24-24=0', '61*0=0'] Exploring Operation: 30+0=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 41, 19, 2, 56 ]
76
[ "41-19=22", "56-2=54", "22+54=76" ]
Current State: 76:[41, 19, 2, 56], Operations: [] Exploring Operation: 41-19=22, Resulting Numbers: [2, 56, 22] Generated Node #2: [2, 56, 22] from Operation: 41-19=22 Current State: 76:[2, 56, 22], Operations: ['41-19=22'] Exploring Operation: 56-2=54, Resulting Numbers: [22, 54] Generated Node #3: [22, 54] from Operation: 56-2=54 Current State: 76:[22, 54], Operations: ['41-19=22', '56-2=54'] Exploring Operation: 22+54=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 2, 30, 84, 73 ]
92
[ "2*73=146", "84-30=54", "146-54=92" ]
Current State: 92:[2, 30, 84, 73], Operations: [] Exploring Operation: 2*73=146, Resulting Numbers: [30, 84, 146] Generated Node #2: [30, 84, 146] from Operation: 2*73=146 Current State: 92:[30, 84, 146], Operations: ['2*73=146'] Exploring Operation: 84-30=54, Resulting Numbers: [146, 54] Generated Node #3: [146, 54] from Operation: 84-30=54 Current State: 92:[146, 54], Operations: ['2*73=146', '84-30=54'] Exploring Operation: 146-54=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 63, 31, 38, 69 ]
62
[ "31+38=69", "69/69=1", "63-1=62" ]
Current State: 62:[63, 31, 38, 69], Operations: [] Exploring Operation: 31+38=69, Resulting Numbers: [63, 69, 69] Generated Node #2: [63, 69, 69] from Operation: 31+38=69 Current State: 62:[63, 69, 69], Operations: ['31+38=69'] Exploring Operation: 69/69=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 69/69=1 Current State: 62:[63, 1], Operations: ['31+38=69', '69/69=1'] Exploring Operation: 63-1=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 38, 14, 84, 49 ]
14
[ "38-14=24", "49*24=1176", "1176/84=14" ]
Current State: 14:[38, 14, 84, 49], Operations: [] Exploring Operation: 38-14=24, Resulting Numbers: [84, 49, 24] Generated Node #2: [84, 49, 24] from Operation: 38-14=24 Current State: 14:[84, 49, 24], Operations: ['38-14=24'] Exploring Operation: 49*24=1176, Resulting Numbers: [84, 1176] Generated Node #3: [84, 1176] from Operation: 49*24=1176 Current State: 14:[84, 1176], Operations: ['38-14=24', '49*24=1176'] Exploring Operation: 1176/84=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 75, 96, 21, 63 ]
63
[ "96-75=21", "21+63=84", "84-21=63" ]
Current State: 63:[75, 96, 21, 63], Operations: [] Exploring Operation: 96-75=21, Resulting Numbers: [21, 63, 21] Generated Node #2: [21, 63, 21] from Operation: 96-75=21 Current State: 63:[21, 63, 21], Operations: ['96-75=21'] Exploring Operation: 21+63=84, Resulting Numbers: [84] 84,63 equal: Goal Reached Exploring Operation: 84-21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 42, 3, 3, 1 ]
17
[ "42/3=14", "3*1=3", "14+3=17" ]
Current State: 17:[42, 3, 3, 1], Operations: [] Exploring Operation: 42/3=14, Resulting Numbers: [1, 14] Generated Node #2: [1, 14] from Operation: 42/3=14 Current State: 17:[1, 14], Operations: ['42/3=14'] Exploring Operation: 3*1=3, Resulting Numbers: [14, 3] Generated Node #3: [14, 3] from Operation: 3*1=3 Current State: 17:[14, 3], Operations: ['42/3=14', '3*1=3'] Exploring Operation: 14+3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 93, 61, 3, 95 ]
32
[ "95-93=2", "61+3=64", "64/2=32" ]
Current State: 32:[93, 61, 3, 95], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [61, 3, 2] Generated Node #2: [61, 3, 2] from Operation: 95-93=2 Current State: 32:[61, 3, 2], Operations: ['95-93=2'] Exploring Operation: 61+3=64, Resulting Numbers: [2, 64] Generated Node #3: [2, 64] from Operation: 61+3=64 Current State: 32:[2, 64], Operations: ['95-93=2', '61+3=64'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 29, 58, 12, 72 ]
58
[ "58/29=2", "72-12=60", "60-2=58" ]
Current State: 58:[29, 58, 12, 72], Operations: [] Exploring Operation: 58/29=2, Resulting Numbers: [12, 72, 2] Generated Node #2: [12, 72, 2] from Operation: 58/29=2 Current State: 58:[12, 72, 2], Operations: ['58/29=2'] Exploring Operation: 72-12=60, Resulting Numbers: [2, 60] Generated Node #3: [2, 60] from Operation: 72-12=60 Current State: 58:[2, 60], Operations: ['58/29=2', '72-12=60'] Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 4, 46, 30, 25 ]
99
[ "4*30=120", "46-25=21", "120-21=99" ]
Current State: 99:[4, 46, 30, 25], Operations: [] Exploring Operation: 4*30=120, Resulting Numbers: [46, 25, 120] Generated Node #2: [46, 25, 120] from Operation: 4*30=120 Current State: 99:[46, 25, 120], Operations: ['4*30=120'] Exploring Operation: 46-25=21, Resulting Numbers: [120, 21] Generated Node #3: [120, 21] from Operation: 46-25=21 Current State: 99:[120, 21], Operations: ['4*30=120', '46-25=21'] Exploring Operation: 120-21=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 18, 78, 64, 8 ]
52
[ "18+78=96", "96/8=12", "64-12=52" ]
Current State: 52:[18, 78, 64, 8], Operations: [] Exploring Operation: 18+78=96, Resulting Numbers: [64, 8, 96] Generated Node #2: [64, 8, 96] from Operation: 18+78=96 Current State: 52:[64, 8, 96], Operations: ['18+78=96'] Exploring Operation: 96/8=12, Resulting Numbers: [64, 12] Generated Node #3: [64, 12] from Operation: 96/8=12 Current State: 52:[64, 12], Operations: ['18+78=96', '96/8=12'] Exploring Operation: 64-12=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 17, 3, 7, 9 ]
95
[ "9-3=6", "17*6=102", "102-7=95" ]
Current State: 95:[17, 3, 7, 9], Operations: [] Exploring Operation: 9-3=6, Resulting Numbers: [17, 7, 6] Generated Node #2: [17, 7, 6] from Operation: 9-3=6 Current State: 95:[17, 7, 6], Operations: ['9-3=6'] Exploring Operation: 17*6=102, Resulting Numbers: [7, 102] Generated Node #3: [7, 102] from Operation: 17*6=102 Current State: 95:[7, 102], Operations: ['9-3=6', '17*6=102'] Exploring Operation: 102-7=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 44, 88, 1, 8 ]
14
[ "88/44=2", "8-1=7", "2*7=14" ]
Current State: 14:[44, 88, 1, 8], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [1, 8, 2] Generated Node #2: [1, 8, 2] from Operation: 88/44=2 Current State: 14:[1, 8, 2], Operations: ['88/44=2'] Exploring Operation: 8-1=7, Resulting Numbers: [2, 7] Generated Node #3: [2, 7] from Operation: 8-1=7 Current State: 14:[2, 7], Operations: ['88/44=2', '8-1=7'] Exploring Operation: 2*7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 81, 40, 68, 67 ]
24
[ "81*40=3240", "68+67=135", "3240/135=24" ]
Current State: 24:[81, 40, 68, 67], Operations: [] Exploring Operation: 81*40=3240, Resulting Numbers: [68, 67, 3240] Generated Node #2: [68, 67, 3240] from Operation: 81*40=3240 Current State: 24:[68, 67, 3240], Operations: ['81*40=3240'] Exploring Operation: 68+67=135, Resulting Numbers: [3240, 135] Generated Node #3: [3240, 135] from Operation: 68+67=135 Current State: 24:[3240, 135], Operations: ['81*40=3240', '68+67=135'] Exploring Operation: 3240/135=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 92, 46, 70, 2 ]
35
[ "92+70=162", "162/2=81", "81-46=35" ]
Current State: 35:[92, 46, 70, 2], Operations: [] Exploring Operation: 92+70=162, Resulting Numbers: [46, 2, 162] Generated Node #2: [46, 2, 162] from Operation: 92+70=162 Current State: 35:[46, 2, 162], Operations: ['92+70=162'] Exploring Operation: 162/2=81, Resulting Numbers: [46, 81] Generated Node #3: [46, 81] from Operation: 162/2=81 Current State: 35:[46, 81], Operations: ['92+70=162', '162/2=81'] Exploring Operation: 81-46=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 44, 40, 51, 22 ]
89
[ "44/22=2", "40+51=91", "91-2=89" ]
Current State: 89:[44, 40, 51, 22], Operations: [] Exploring Operation: 44/22=2, Resulting Numbers: [40, 51, 2] Generated Node #2: [40, 51, 2] from Operation: 44/22=2 Current State: 89:[40, 51, 2], Operations: ['44/22=2'] Exploring Operation: 40+51=91, Resulting Numbers: [2, 91] Generated Node #3: [2, 91] from Operation: 40+51=91 Current State: 89:[2, 91], Operations: ['44/22=2', '40+51=91'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 67, 99, 39, 46 ]
64
[ "99+39=138", "138/46=3", "67-3=64" ]
Current State: 64:[67, 99, 39, 46], Operations: [] Exploring Operation: 99+39=138, Resulting Numbers: [67, 46, 138] Generated Node #2: [67, 46, 138] from Operation: 99+39=138 Current State: 64:[67, 46, 138], Operations: ['99+39=138'] Exploring Operation: 138/46=3, Resulting Numbers: [67, 3] Generated Node #3: [67, 3] from Operation: 138/46=3 Current State: 64:[67, 3], Operations: ['99+39=138', '138/46=3'] Exploring Operation: 67-3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 3, 23, 28, 9 ]
22
[ "3*9=27", "28-23=5", "27-5=22" ]
Current State: 22:[3, 23, 28, 9], Operations: [] Exploring Operation: 3*9=27, Resulting Numbers: [23, 28, 27] Generated Node #2: [23, 28, 27] from Operation: 3*9=27 Current State: 22:[23, 28, 27], Operations: ['3*9=27'] Exploring Operation: 28-23=5, Resulting Numbers: [27, 5] Generated Node #3: [27, 5] from Operation: 28-23=5 Current State: 22:[27, 5], Operations: ['3*9=27', '28-23=5'] Exploring Operation: 27-5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 37, 99, 77, 4 ]
51
[ "99-77=22", "4*22=88", "88-37=51" ]
Current State: 51:[37, 99, 77, 4], Operations: [] Exploring Operation: 99-77=22, Resulting Numbers: [37, 4, 22] Generated Node #2: [37, 4, 22] from Operation: 99-77=22 Current State: 51:[37, 4, 22], Operations: ['99-77=22'] Exploring Operation: 4*22=88, Resulting Numbers: [37, 88] Generated Node #3: [37, 88] from Operation: 4*22=88 Current State: 51:[37, 88], Operations: ['99-77=22', '4*22=88'] Exploring Operation: 88-37=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 66, 30, 75, 35 ]
45
[ "75-66=9", "35-30=5", "9*5=45" ]
Current State: 45:[66, 30, 75, 35], Operations: [] Exploring Operation: 75-66=9, Resulting Numbers: [30, 35, 9] Generated Node #2: [30, 35, 9] from Operation: 75-66=9 Current State: 45:[30, 35, 9], Operations: ['75-66=9'] Exploring Operation: 35-30=5, Resulting Numbers: [9, 5] Generated Node #3: [9, 5] from Operation: 35-30=5 Current State: 45:[9, 5], Operations: ['75-66=9', '35-30=5'] Exploring Operation: 9*5=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 38, 80, 40, 64 ]
25
[ "38*40=1520", "80+1520=1600", "1600/64=25" ]
Current State: 25:[38, 80, 40, 64], Operations: [] Exploring Operation: 38*40=1520, Resulting Numbers: [80, 64, 1520] Generated Node #2: [80, 64, 1520] from Operation: 38*40=1520 Current State: 25:[80, 64, 1520], Operations: ['38*40=1520'] Exploring Operation: 80+1520=1600, Resulting Numbers: [64, 1600] Generated Node #3: [64, 1600] from Operation: 80+1520=1600 Current State: 25:[64, 1600], Operations: ['38*40=1520', '80+1520=1600'] Exploring Operation: 1600/64=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 89, 48, 44, 94 ]
91
[ "89-48=41", "94-44=50", "41+50=91" ]
Current State: 91:[89, 48, 44, 94], Operations: [] Exploring Operation: 89-48=41, Resulting Numbers: [44, 94, 41] Generated Node #2: [44, 94, 41] from Operation: 89-48=41 Current State: 91:[44, 94, 41], Operations: ['89-48=41'] Exploring Operation: 94-44=50, Resulting Numbers: [41, 50] Generated Node #3: [41, 50] from Operation: 94-44=50 Current State: 91:[41, 50], Operations: ['89-48=41', '94-44=50'] Exploring Operation: 41+50=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 9, 75, 34, 75 ]
34
[ "75-75=0", "9*0=0", "34+0=34" ]
Current State: 34:[9, 75, 34, 75], Operations: [] Exploring Operation: 75-75=0, Resulting Numbers: [9, 34, 0] Generated Node #2: [9, 34, 0] from Operation: 75-75=0 Current State: 34:[9, 34, 0], Operations: ['75-75=0'] Exploring Operation: 9*0=0, Resulting Numbers: [34, 0] Generated Node #3: [34, 0] from Operation: 9*0=0 Current State: 34:[34, 0], Operations: ['75-75=0', '9*0=0'] Exploring Operation: 34+0=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 48, 74, 29, 36 ]
12
[ "74-48=26", "29-26=3", "36/3=12" ]
Current State: 12:[48, 74, 29, 36], Operations: [] Exploring Operation: 74-48=26, Resulting Numbers: [29, 36, 26] Generated Node #2: [29, 36, 26] from Operation: 74-48=26 Current State: 12:[29, 36, 26], Operations: ['74-48=26'] Exploring Operation: 29-26=3, Resulting Numbers: [36, 3] Generated Node #3: [36, 3] from Operation: 29-26=3 Current State: 12:[36, 3], Operations: ['74-48=26', '29-26=3'] Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 20, 99, 25, 23 ]
77
[ "99-20=79", "25-23=2", "79-2=77" ]
Current State: 77:[20, 99, 25, 23], Operations: [] Exploring Operation: 99-20=79, Resulting Numbers: [25, 23, 79] Generated Node #2: [25, 23, 79] from Operation: 99-20=79 Current State: 77:[25, 23, 79], Operations: ['99-20=79'] Exploring Operation: 25-23=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 25-23=2 Current State: 77:[79, 2], Operations: ['99-20=79', '25-23=2'] Exploring Operation: 79-2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 77, 98, 91, 12 ]
19
[ "91-77=14", "98/14=7", "12+7=19" ]
Current State: 19:[77, 98, 91, 12], Operations: [] Exploring Operation: 91-77=14, Resulting Numbers: [98, 12, 14] Generated Node #2: [98, 12, 14] from Operation: 91-77=14 Current State: 19:[98, 12, 14], Operations: ['91-77=14'] Exploring Operation: 98/14=7, Resulting Numbers: [12, 7] Generated Node #3: [12, 7] from Operation: 98/14=7 Current State: 19:[12, 7], Operations: ['91-77=14', '98/14=7'] Exploring Operation: 12+7=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 88, 17, 87, 34 ]
86
[ "34/17=2", "87*2=174", "174-88=86" ]
Current State: 86:[88, 17, 87, 34], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [88, 87, 2] Generated Node #2: [88, 87, 2] from Operation: 34/17=2 Current State: 86:[88, 87, 2], Operations: ['34/17=2'] Exploring Operation: 87*2=174, Resulting Numbers: [88, 174] Generated Node #3: [88, 174] from Operation: 87*2=174 Current State: 86:[88, 174], Operations: ['34/17=2', '87*2=174'] Exploring Operation: 174-88=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 84, 65, 52, 86 ]
53
[ "84-65=19", "86-52=34", "19+34=53" ]
Current State: 53:[84, 65, 52, 86], Operations: [] Exploring Operation: 84-65=19, Resulting Numbers: [52, 86, 19] Generated Node #2: [52, 86, 19] from Operation: 84-65=19 Current State: 53:[52, 86, 19], Operations: ['84-65=19'] Exploring Operation: 86-52=34, Resulting Numbers: [19, 34] Generated Node #3: [19, 34] from Operation: 86-52=34 Current State: 53:[19, 34], Operations: ['84-65=19', '86-52=34'] Exploring Operation: 19+34=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 9, 20, 42, 27 ]
15
[ "27-20=7", "42/7=6", "9+6=15" ]
Current State: 15:[9, 20, 42, 27], Operations: [] Exploring Operation: 27-20=7, Resulting Numbers: [9, 42, 7] Generated Node #2: [9, 42, 7] from Operation: 27-20=7 Current State: 15:[9, 42, 7], Operations: ['27-20=7'] Exploring Operation: 42/7=6, Resulting Numbers: [9, 6] Generated Node #3: [9, 6] from Operation: 42/7=6 Current State: 15:[9, 6], Operations: ['27-20=7', '42/7=6'] Exploring Operation: 9+6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 82, 32, 82, 9 ]
24
[ "82/82=1", "32-9=23", "1+23=24" ]
Current State: 24:[82, 32, 82, 9], Operations: [] Exploring Operation: 82/82=1, Resulting Numbers: [32, 9, 1] Generated Node #2: [32, 9, 1] from Operation: 82/82=1 Current State: 24:[32, 9, 1], Operations: ['82/82=1'] Exploring Operation: 32-9=23, Resulting Numbers: [1, 23] Generated Node #3: [1, 23] from Operation: 32-9=23 Current State: 24:[1, 23], Operations: ['82/82=1', '32-9=23'] Exploring Operation: 1+23=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 29, 9, 45, 18 ]
22
[ "45+18=63", "63/9=7", "29-7=22" ]
Current State: 22:[29, 9, 45, 18], Operations: [] Exploring Operation: 45+18=63, Resulting Numbers: [29, 9, 63] Generated Node #2: [29, 9, 63] from Operation: 45+18=63 Current State: 22:[29, 9, 63], Operations: ['45+18=63'] Exploring Operation: 63/9=7, Resulting Numbers: [29, 7] Generated Node #3: [29, 7] from Operation: 63/9=7 Current State: 22:[29, 7], Operations: ['45+18=63', '63/9=7'] Exploring Operation: 29-7=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 26, 12, 62, 59 ]
90
[ "62-59=3", "26*3=78", "12+78=90" ]
Current State: 90:[26, 12, 62, 59], Operations: [] Exploring Operation: 62-59=3, Resulting Numbers: [26, 12, 3] Generated Node #2: [26, 12, 3] from Operation: 62-59=3 Current State: 90:[26, 12, 3], Operations: ['62-59=3'] Exploring Operation: 26*3=78, Resulting Numbers: [12, 78] Generated Node #3: [12, 78] from Operation: 26*3=78 Current State: 90:[12, 78], Operations: ['62-59=3', '26*3=78'] Exploring Operation: 12+78=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 61, 14, 61, 33 ]
46
[ "61/61=1", "14+33=47", "47-1=46" ]
Current State: 46:[61, 14, 61, 33], Operations: [] Exploring Operation: 61/61=1, Resulting Numbers: [14, 33, 1] Generated Node #2: [14, 33, 1] from Operation: 61/61=1 Current State: 46:[14, 33, 1], Operations: ['61/61=1'] Exploring Operation: 14+33=47, Resulting Numbers: [1, 47] Generated Node #3: [1, 47] from Operation: 14+33=47 Current State: 46:[1, 47], Operations: ['61/61=1', '14+33=47'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 18, 66, 41, 40 ]
83
[ "18+66=84", "41-40=1", "84-1=83" ]
Current State: 83:[18, 66, 41, 40], Operations: [] Exploring Operation: 18+66=84, Resulting Numbers: [41, 40, 84] Generated Node #2: [41, 40, 84] from Operation: 18+66=84 Current State: 83:[41, 40, 84], Operations: ['18+66=84'] Exploring Operation: 41-40=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 41-40=1 Current State: 83:[84, 1], Operations: ['18+66=84', '41-40=1'] Exploring Operation: 84-1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 90, 8, 10, 18 ]
81
[ "10-8=2", "18/2=9", "90-9=81" ]
Current State: 81:[90, 8, 10, 18], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [90, 18, 2] Generated Node #2: [90, 18, 2] from Operation: 10-8=2 Current State: 81:[90, 18, 2], Operations: ['10-8=2'] Exploring Operation: 18/2=9, Resulting Numbers: [90, 9] Generated Node #3: [90, 9] from Operation: 18/2=9 Current State: 81:[90, 9], Operations: ['10-8=2', '18/2=9'] Exploring Operation: 90-9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 65, 31, 65, 64 ]
32
[ "65/65=1", "64-31=33", "33-1=32" ]
Current State: 32:[65, 31, 65, 64], Operations: [] Exploring Operation: 65/65=1, Resulting Numbers: [31, 64, 1] Generated Node #2: [31, 64, 1] from Operation: 65/65=1 Current State: 32:[31, 64, 1], Operations: ['65/65=1'] Exploring Operation: 64-31=33, Resulting Numbers: [1, 33] Generated Node #3: [1, 33] from Operation: 64-31=33 Current State: 32:[1, 33], Operations: ['65/65=1', '64-31=33'] Exploring Operation: 33-1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 21, 28, 24, 64 ]
82
[ "21*24=504", "504/28=18", "64+18=82" ]
Current State: 82:[21, 28, 24, 64], Operations: [] Exploring Operation: 21*24=504, Resulting Numbers: [28, 64, 504] Generated Node #2: [28, 64, 504] from Operation: 21*24=504 Current State: 82:[28, 64, 504], Operations: ['21*24=504'] Exploring Operation: 504/28=18, Resulting Numbers: [64, 18] Generated Node #3: [64, 18] from Operation: 504/28=18 Current State: 82:[64, 18], Operations: ['21*24=504', '504/28=18'] Exploring Operation: 64+18=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 80, 50, 99, 55 ]
86
[ "80+50=130", "99-55=44", "130-44=86" ]
Current State: 86:[80, 50, 99, 55], Operations: [] Exploring Operation: 80+50=130, Resulting Numbers: [99, 55, 130] Generated Node #2: [99, 55, 130] from Operation: 80+50=130 Current State: 86:[99, 55, 130], Operations: ['80+50=130'] Exploring Operation: 99-55=44, Resulting Numbers: [130, 44] Generated Node #3: [130, 44] from Operation: 99-55=44 Current State: 86:[130, 44], Operations: ['80+50=130', '99-55=44'] Exploring Operation: 130-44=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 84, 41, 43, 7 ]
96
[ "84/7=12", "41+43=84", "12+84=96" ]
Current State: 96:[84, 41, 43, 7], Operations: [] Exploring Operation: 84/7=12, Resulting Numbers: [41, 43, 12] Generated Node #2: [41, 43, 12] from Operation: 84/7=12 Current State: 96:[41, 43, 12], Operations: ['84/7=12'] Exploring Operation: 41+43=84, Resulting Numbers: [12, 84] Generated Node #3: [12, 84] from Operation: 41+43=84 Current State: 96:[12, 84], Operations: ['84/7=12', '41+43=84'] Exploring Operation: 12+84=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 64, 36, 65, 29 ]
63
[ "65-36=29", "29/29=1", "64-1=63" ]
Current State: 63:[64, 36, 65, 29], Operations: [] Exploring Operation: 65-36=29, Resulting Numbers: [64, 29, 29] Generated Node #2: [64, 29, 29] from Operation: 65-36=29 Current State: 63:[64, 29, 29], Operations: ['65-36=29'] Exploring Operation: 29/29=1, Resulting Numbers: [64, 1] Generated Node #3: [64, 1] from Operation: 29/29=1 Current State: 63:[64, 1], Operations: ['65-36=29', '29/29=1'] Exploring Operation: 64-1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 9, 8, 27, 62 ]
72
[ "9+8=17", "27+62=89", "89-17=72" ]
Current State: 72:[9, 8, 27, 62], Operations: [] Exploring Operation: 9+8=17, Resulting Numbers: [27, 62, 17] Generated Node #2: [27, 62, 17] from Operation: 9+8=17 Current State: 72:[27, 62, 17], Operations: ['9+8=17'] Exploring Operation: 27+62=89, Resulting Numbers: [17, 89] Generated Node #3: [17, 89] from Operation: 27+62=89 Current State: 72:[17, 89], Operations: ['9+8=17', '27+62=89'] Exploring Operation: 89-17=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 49, 64, 95, 91 ]
65
[ "95-91=4", "64/4=16", "49+16=65" ]
Current State: 65:[49, 64, 95, 91], Operations: [] Exploring Operation: 95-91=4, Resulting Numbers: [49, 64, 4] Generated Node #2: [49, 64, 4] from Operation: 95-91=4 Current State: 65:[49, 64, 4], Operations: ['95-91=4'] Exploring Operation: 64/4=16, Resulting Numbers: [49, 16] Generated Node #3: [49, 16] from Operation: 64/4=16 Current State: 65:[49, 16], Operations: ['95-91=4', '64/4=16'] Exploring Operation: 49+16=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 47, 51, 97, 31 ]
30
[ "47+51=98", "97+31=128", "128-98=30" ]
Current State: 30:[47, 51, 97, 31], Operations: [] Exploring Operation: 47+51=98, Resulting Numbers: [97, 31, 98] Generated Node #2: [97, 31, 98] from Operation: 47+51=98 Current State: 30:[97, 31, 98], Operations: ['47+51=98'] Exploring Operation: 97+31=128, Resulting Numbers: [98, 128] Generated Node #3: [98, 128] from Operation: 97+31=128 Current State: 30:[98, 128], Operations: ['47+51=98', '97+31=128'] Exploring Operation: 128-98=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 21, 62, 10, 48 ]
32
[ "62+48=110", "110/10=11", "21+11=32" ]
Current State: 32:[21, 62, 10, 48], Operations: [] Exploring Operation: 62+48=110, Resulting Numbers: [21, 10, 110] Generated Node #2: [21, 10, 110] from Operation: 62+48=110 Current State: 32:[21, 10, 110], Operations: ['62+48=110'] Exploring Operation: 110/10=11, Resulting Numbers: [21, 11] Generated Node #3: [21, 11] from Operation: 110/10=11 Current State: 32:[21, 11], Operations: ['62+48=110', '110/10=11'] Exploring Operation: 21+11=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 89, 46, 31, 65 ]
77
[ "89-46=43", "65-31=34", "43+34=77" ]
Current State: 77:[89, 46, 31, 65], Operations: [] Exploring Operation: 89-46=43, Resulting Numbers: [31, 65, 43] Generated Node #2: [31, 65, 43] from Operation: 89-46=43 Current State: 77:[31, 65, 43], Operations: ['89-46=43'] Exploring Operation: 65-31=34, Resulting Numbers: [43, 34] Generated Node #3: [43, 34] from Operation: 65-31=34 Current State: 77:[43, 34], Operations: ['89-46=43', '65-31=34'] Exploring Operation: 43+34=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 28, 78, 42, 66 ]
58
[ "78-28=50", "42+66=108", "108-50=58" ]
Current State: 58:[28, 78, 42, 66], Operations: [] Exploring Operation: 78-28=50, Resulting Numbers: [42, 66, 50] Generated Node #2: [42, 66, 50] from Operation: 78-28=50 Current State: 58:[42, 66, 50], Operations: ['78-28=50'] Exploring Operation: 42+66=108, Resulting Numbers: [50, 108] Generated Node #3: [50, 108] from Operation: 42+66=108 Current State: 58:[50, 108], Operations: ['78-28=50', '42+66=108'] Exploring Operation: 108-50=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 24, 78, 53, 92 ]
63
[ "24+78=102", "92-53=39", "102-39=63" ]
Current State: 63:[24, 78, 53, 92], Operations: [] Exploring Operation: 24+78=102, Resulting Numbers: [53, 92, 102] Generated Node #2: [53, 92, 102] from Operation: 24+78=102 Current State: 63:[53, 92, 102], Operations: ['24+78=102'] Exploring Operation: 92-53=39, Resulting Numbers: [102, 39] Generated Node #3: [102, 39] from Operation: 92-53=39 Current State: 63:[102, 39], Operations: ['24+78=102', '92-53=39'] Exploring Operation: 102-39=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 76, 20, 2, 73 ]
59
[ "76*2=152", "20+73=93", "152-93=59" ]
Current State: 59:[76, 20, 2, 73], Operations: [] Exploring Operation: 76*2=152, Resulting Numbers: [20, 73, 152] Generated Node #2: [20, 73, 152] from Operation: 76*2=152 Current State: 59:[20, 73, 152], Operations: ['76*2=152'] Exploring Operation: 20+73=93, Resulting Numbers: [152, 93] Generated Node #3: [152, 93] from Operation: 20+73=93 Current State: 59:[152, 93], Operations: ['76*2=152', '20+73=93'] Exploring Operation: 152-93=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 90, 11, 70, 16 ]
21
[ "90+70=160", "160/16=10", "11+10=21" ]
Current State: 21:[90, 11, 70, 16], Operations: [] Exploring Operation: 90+70=160, Resulting Numbers: [11, 16, 160] Generated Node #2: [11, 16, 160] from Operation: 90+70=160 Current State: 21:[11, 16, 160], Operations: ['90+70=160'] Exploring Operation: 160/16=10, Resulting Numbers: [11, 10] Generated Node #3: [11, 10] from Operation: 160/16=10 Current State: 21:[11, 10], Operations: ['90+70=160', '160/16=10'] Exploring Operation: 11+10=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 79, 35, 32, 54 ]
42
[ "79-35=44", "32+54=86", "86-44=42" ]
Current State: 42:[79, 35, 32, 54], Operations: [] Exploring Operation: 79-35=44, Resulting Numbers: [32, 54, 44] Generated Node #2: [32, 54, 44] from Operation: 79-35=44 Current State: 42:[32, 54, 44], Operations: ['79-35=44'] Exploring Operation: 32+54=86, Resulting Numbers: [44, 86] Generated Node #3: [44, 86] from Operation: 32+54=86 Current State: 42:[44, 86], Operations: ['79-35=44', '32+54=86'] Exploring Operation: 86-44=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 2, 65, 59, 88 ]
76
[ "65-59=6", "2*6=12", "88-12=76" ]
Current State: 76:[2, 65, 59, 88], Operations: [] Exploring Operation: 65-59=6, Resulting Numbers: [2, 88, 6] Generated Node #2: [2, 88, 6] from Operation: 65-59=6 Current State: 76:[2, 88, 6], Operations: ['65-59=6'] Exploring Operation: 2*6=12, Resulting Numbers: [88, 12] Generated Node #3: [88, 12] from Operation: 2*6=12 Current State: 76:[88, 12], Operations: ['65-59=6', '2*6=12'] Exploring Operation: 88-12=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 2, 19, 5, 4 ]
66
[ "2*5=10", "19*4=76", "76-10=66" ]
Current State: 66:[2, 19, 5, 4], Operations: [] Exploring Operation: 2*5=10, Resulting Numbers: [19, 4, 10] Generated Node #2: [19, 4, 10] from Operation: 2*5=10 Current State: 66:[19, 4, 10], Operations: ['2*5=10'] Exploring Operation: 19*4=76, Resulting Numbers: [10, 76] Generated Node #3: [10, 76] from Operation: 19*4=76 Current State: 66:[10, 76], Operations: ['2*5=10', '19*4=76'] Exploring Operation: 76-10=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 80, 51, 60, 68 ]
56
[ "80-68=12", "60/12=5", "51+5=56" ]
Current State: 56:[80, 51, 60, 68], Operations: [] Exploring Operation: 80-68=12, Resulting Numbers: [51, 60, 12] Generated Node #2: [51, 60, 12] from Operation: 80-68=12 Current State: 56:[51, 60, 12], Operations: ['80-68=12'] Exploring Operation: 60/12=5, Resulting Numbers: [51, 5] Generated Node #3: [51, 5] from Operation: 60/12=5 Current State: 56:[51, 5], Operations: ['80-68=12', '60/12=5'] Exploring Operation: 51+5=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 45, 45, 88, 5 ]
84
[ "45/45=1", "88-5=83", "1+83=84" ]
Current State: 84:[45, 45, 88, 5], Operations: [] Exploring Operation: 45/45=1, Resulting Numbers: [88, 5, 1] Generated Node #2: [88, 5, 1] from Operation: 45/45=1 Current State: 84:[88, 5, 1], Operations: ['45/45=1'] Exploring Operation: 88-5=83, Resulting Numbers: [1, 83] Generated Node #3: [1, 83] from Operation: 88-5=83 Current State: 84:[1, 83], Operations: ['45/45=1', '88-5=83'] Exploring Operation: 1+83=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4