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
[ 93, 39, 4, 51 ]
96
[ "51-39=12", "12/4=3", "93+3=96" ]
Current State: 96:[93, 39, 4, 51], Operations: [] Exploring Operation: 51-39=12, Resulting Numbers: [93, 4, 12] Generated Node #2: [93, 4, 12] from Operation: 51-39=12 Current State: 96:[93, 4, 12], Operations: ['51-39=12'] Exploring Operation: 12/4=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 12/4=3 Current State: 96:[93, 3], Operations: ['51-39=12', '12/4=3'] Exploring Operation: 93+3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 67, 14, 79, 55 ]
16
[ "79+55=134", "134/67=2", "14+2=16" ]
Current State: 16:[67, 14, 79, 55], Operations: [] Exploring Operation: 79+55=134, Resulting Numbers: [67, 14, 134] Generated Node #2: [67, 14, 134] from Operation: 79+55=134 Current State: 16:[67, 14, 134], Operations: ['79+55=134'] Exploring Operation: 134/67=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 134/67=2 Current State: 16:[14, 2], Operations: ['79+55=134', '134/67=2'] Exploring Operation: 14+2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 47, 62, 6, 25 ]
70
[ "47-25=22", "6*22=132", "132-62=70" ]
Current State: 70:[47, 62, 6, 25], Operations: [] Exploring Operation: 47-25=22, Resulting Numbers: [62, 6, 22] Generated Node #2: [62, 6, 22] from Operation: 47-25=22 Current State: 70:[62, 6, 22], Operations: ['47-25=22'] Exploring Operation: 6*22=132, Resulting Numbers: [62, 132] Generated Node #3: [62, 132] from Operation: 6*22=132 Current State: 70:[62, 132], Operations: ['47-25=22', '6*22=132'] Exploring Operation: 132-62=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 35, 3, 91, 49 ]
63
[ "35*3=105", "91-49=42", "105-42=63" ]
Current State: 63:[35, 3, 91, 49], Operations: [] Exploring Operation: 35*3=105, Resulting Numbers: [91, 49, 105] Generated Node #2: [91, 49, 105] from Operation: 35*3=105 Current State: 63:[91, 49, 105], Operations: ['35*3=105'] Exploring Operation: 91-49=42, Resulting Numbers: [105, 42] Generated Node #3: [105, 42] from Operation: 91-49=42 Current State: 63:[105, 42], Operations: ['35*3=105', '91-49=42'] Exploring Operation: 105-42=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 4, 24, 9, 78 ]
89
[ "24-4=20", "78-9=69", "20+69=89" ]
Current State: 89:[4, 24, 9, 78], Operations: [] Exploring Operation: 24-4=20, Resulting Numbers: [9, 78, 20] Generated Node #2: [9, 78, 20] from Operation: 24-4=20 Current State: 89:[9, 78, 20], Operations: ['24-4=20'] Exploring Operation: 78-9=69, Resulting Numbers: [20, 69] Generated Node #3: [20, 69] from Operation: 78-9=69 Current State: 89:[20, 69], Operations: ['24-4=20', '78-9=69'] Exploring Operation: 20+69=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 4, 52, 8, 63 ]
44
[ "8-4=4", "63-52=11", "4*11=44" ]
Current State: 44:[4, 52, 8, 63], Operations: [] Exploring Operation: 8-4=4, Resulting Numbers: [52, 63, 4] Generated Node #2: [52, 63, 4] from Operation: 8-4=4 Current State: 44:[52, 63, 4], Operations: ['8-4=4'] Exploring Operation: 63-52=11, Resulting Numbers: [4, 11] Generated Node #3: [4, 11] from Operation: 63-52=11 Current State: 44:[4, 11], Operations: ['8-4=4', '63-52=11'] Exploring Operation: 4*11=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 87, 57, 11, 75 ]
94
[ "87-57=30", "75-11=64", "30+64=94" ]
Current State: 94:[87, 57, 11, 75], Operations: [] Exploring Operation: 87-57=30, Resulting Numbers: [11, 75, 30] Generated Node #2: [11, 75, 30] from Operation: 87-57=30 Current State: 94:[11, 75, 30], Operations: ['87-57=30'] Exploring Operation: 75-11=64, Resulting Numbers: [30, 64] Generated Node #3: [30, 64] from Operation: 75-11=64 Current State: 94:[30, 64], Operations: ['87-57=30', '75-11=64'] Exploring Operation: 30+64=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 53, 38, 92, 31 ]
31
[ "53+38=91", "92-91=1", "31*1=31" ]
Current State: 31:[53, 38, 92, 31], Operations: [] Exploring Operation: 53+38=91, Resulting Numbers: [92, 31, 91] Generated Node #2: [92, 31, 91] from Operation: 53+38=91 Current State: 31:[92, 31, 91], Operations: ['53+38=91'] Exploring Operation: 92-91=1, Resulting Numbers: [31, 1] Generated Node #3: [31, 1] from Operation: 92-91=1 Current State: 31:[31, 1], Operations: ['53+38=91', '92-91=1'] Exploring Operation: 31*1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 7, 94, 45, 10 ]
21
[ "7*10=70", "94-45=49", "70-49=21" ]
Current State: 21:[7, 94, 45, 10], Operations: [] Exploring Operation: 7*10=70, Resulting Numbers: [94, 45, 70] Generated Node #2: [94, 45, 70] from Operation: 7*10=70 Current State: 21:[94, 45, 70], Operations: ['7*10=70'] Exploring Operation: 94-45=49, Resulting Numbers: [70, 49] Generated Node #3: [70, 49] from Operation: 94-45=49 Current State: 21:[70, 49], Operations: ['7*10=70', '94-45=49'] Exploring Operation: 70-49=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 56, 8, 29, 31 ]
36
[ "31-29=2", "56/2=28", "8+28=36" ]
Current State: 36:[56, 8, 29, 31], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [56, 8, 2] Generated Node #2: [56, 8, 2] from Operation: 31-29=2 Current State: 36:[56, 8, 2], Operations: ['31-29=2'] Exploring Operation: 56/2=28, Resulting Numbers: [8, 28] Generated Node #3: [8, 28] from Operation: 56/2=28 Current State: 36:[8, 28], Operations: ['31-29=2', '56/2=28'] Exploring Operation: 8+28=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 18, 41, 66, 10 ]
45
[ "66-41=25", "18*25=450", "450/10=45" ]
Current State: 45:[18, 41, 66, 10], Operations: [] Exploring Operation: 66-41=25, Resulting Numbers: [18, 10, 25] Generated Node #2: [18, 10, 25] from Operation: 66-41=25 Current State: 45:[18, 10, 25], Operations: ['66-41=25'] Exploring Operation: 18*25=450, Resulting Numbers: [10, 450] Generated Node #3: [10, 450] from Operation: 18*25=450 Current State: 45:[10, 450], Operations: ['66-41=25', '18*25=450'] Exploring Operation: 450/10=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 33, 55, 77, 93 ]
72
[ "33+55=88", "93-77=16", "88-16=72" ]
Current State: 72:[33, 55, 77, 93], Operations: [] Exploring Operation: 33+55=88, Resulting Numbers: [77, 93, 88] Generated Node #2: [77, 93, 88] from Operation: 33+55=88 Current State: 72:[77, 93, 88], Operations: ['33+55=88'] Exploring Operation: 93-77=16, Resulting Numbers: [88, 16] Generated Node #3: [88, 16] from Operation: 93-77=16 Current State: 72:[88, 16], Operations: ['33+55=88', '93-77=16'] Exploring Operation: 88-16=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 35, 56, 54, 49 ]
36
[ "35+49=84", "56*54=3024", "3024/84=36" ]
Current State: 36:[35, 56, 54, 49], Operations: [] Exploring Operation: 35+49=84, Resulting Numbers: [56, 54, 84] Generated Node #2: [56, 54, 84] from Operation: 35+49=84 Current State: 36:[56, 54, 84], Operations: ['35+49=84'] Exploring Operation: 56*54=3024, Resulting Numbers: [84, 3024] Generated Node #3: [84, 3024] from Operation: 56*54=3024 Current State: 36:[84, 3024], Operations: ['35+49=84', '56*54=3024'] Exploring Operation: 3024/84=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 33, 12, 1, 55 ]
19
[ "12*55=660", "660/33=20", "20-1=19" ]
Current State: 19:[33, 12, 1, 55], Operations: [] Exploring Operation: 12*55=660, Resulting Numbers: [33, 1, 660] Generated Node #2: [33, 1, 660] from Operation: 12*55=660 Current State: 19:[33, 1, 660], Operations: ['12*55=660'] Exploring Operation: 660/33=20, Resulting Numbers: [1, 20] Generated Node #3: [1, 20] from Operation: 660/33=20 Current State: 19:[1, 20], Operations: ['12*55=660', '660/33=20'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 15, 35, 2, 40 ]
10
[ "35-15=20", "40-20=20", "20/2=10" ]
Current State: 10:[15, 35, 2, 40], Operations: [] Exploring Operation: 35-15=20, Resulting Numbers: [2, 40, 20] Generated Node #2: [2, 40, 20] from Operation: 35-15=20 Current State: 10:[2, 40, 20], Operations: ['35-15=20'] Exploring Operation: 40-20=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 40-20=20 Current State: 10:[2, 20], Operations: ['35-15=20', '40-20=20'] Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 47, 50, 50, 15 ]
95
[ "50-47=3", "15*3=45", "50+45=95" ]
Current State: 95:[47, 50, 50, 15], Operations: [] Exploring Operation: 50-47=3, Resulting Numbers: [15, 3] Generated Node #2: [15, 3] from Operation: 50-47=3 Current State: 95:[15, 3], Operations: ['50-47=3'] Exploring Operation: 15*3=45, Resulting Numbers: [45] 45,95 equal: Goal Reached Exploring Operation: 50+45=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 52, 31, 35, 52 ]
67
[ "52/52=1", "31+35=66", "1+66=67" ]
Current State: 67:[52, 31, 35, 52], Operations: [] Exploring Operation: 52/52=1, Resulting Numbers: [31, 35, 1] Generated Node #2: [31, 35, 1] from Operation: 52/52=1 Current State: 67:[31, 35, 1], Operations: ['52/52=1'] Exploring Operation: 31+35=66, Resulting Numbers: [1, 66] Generated Node #3: [1, 66] from Operation: 31+35=66 Current State: 67:[1, 66], Operations: ['52/52=1', '31+35=66'] Exploring Operation: 1+66=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 16, 6, 56, 11 ]
82
[ "16*56=896", "6+896=902", "902/11=82" ]
Current State: 82:[16, 6, 56, 11], Operations: [] Exploring Operation: 16*56=896, Resulting Numbers: [6, 11, 896] Generated Node #2: [6, 11, 896] from Operation: 16*56=896 Current State: 82:[6, 11, 896], Operations: ['16*56=896'] Exploring Operation: 6+896=902, Resulting Numbers: [11, 902] Generated Node #3: [11, 902] from Operation: 6+896=902 Current State: 82:[11, 902], Operations: ['16*56=896', '6+896=902'] Exploring Operation: 902/11=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 37, 37, 11, 77 ]
14
[ "37+37=74", "11+77=88", "88-74=14" ]
Current State: 14:[37, 37, 11, 77], Operations: [] Exploring Operation: 37+37=74, Resulting Numbers: [11, 77, 74] Generated Node #2: [11, 77, 74] from Operation: 37+37=74 Current State: 14:[11, 77, 74], Operations: ['37+37=74'] Exploring Operation: 11+77=88, Resulting Numbers: [74, 88] Generated Node #3: [74, 88] from Operation: 11+77=88 Current State: 14:[74, 88], Operations: ['37+37=74', '11+77=88'] Exploring Operation: 88-74=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 97, 6, 5, 47 ]
37
[ "6*47=282", "282-97=185", "185/5=37" ]
Current State: 37:[97, 6, 5, 47], Operations: [] Exploring Operation: 6*47=282, Resulting Numbers: [97, 5, 282] Generated Node #2: [97, 5, 282] from Operation: 6*47=282 Current State: 37:[97, 5, 282], Operations: ['6*47=282'] Exploring Operation: 282-97=185, Resulting Numbers: [5, 185] Generated Node #3: [5, 185] from Operation: 282-97=185 Current State: 37:[5, 185], Operations: ['6*47=282', '282-97=185'] Exploring Operation: 185/5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 8, 70, 45, 98 ]
65
[ "8+70=78", "45+98=143", "143-78=65" ]
Current State: 65:[8, 70, 45, 98], Operations: [] Exploring Operation: 8+70=78, Resulting Numbers: [45, 98, 78] Generated Node #2: [45, 98, 78] from Operation: 8+70=78 Current State: 65:[45, 98, 78], Operations: ['8+70=78'] Exploring Operation: 45+98=143, Resulting Numbers: [78, 143] Generated Node #3: [78, 143] from Operation: 45+98=143 Current State: 65:[78, 143], Operations: ['8+70=78', '45+98=143'] Exploring Operation: 143-78=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 2, 23, 46, 34 ]
52
[ "34/2=17", "23+46=69", "69-17=52" ]
Current State: 52:[2, 23, 46, 34], Operations: [] Exploring Operation: 34/2=17, Resulting Numbers: [23, 46, 17] Generated Node #2: [23, 46, 17] from Operation: 34/2=17 Current State: 52:[23, 46, 17], Operations: ['34/2=17'] Exploring Operation: 23+46=69, Resulting Numbers: [17, 69] Generated Node #3: [17, 69] from Operation: 23+46=69 Current State: 52:[17, 69], Operations: ['34/2=17', '23+46=69'] Exploring Operation: 69-17=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 9, 45, 19, 20 ]
81
[ "45/9=5", "20*5=100", "100-19=81" ]
Current State: 81:[9, 45, 19, 20], Operations: [] Exploring Operation: 45/9=5, Resulting Numbers: [19, 20, 5] Generated Node #2: [19, 20, 5] from Operation: 45/9=5 Current State: 81:[19, 20, 5], Operations: ['45/9=5'] Exploring Operation: 20*5=100, Resulting Numbers: [19, 100] Generated Node #3: [19, 100] from Operation: 20*5=100 Current State: 81:[19, 100], Operations: ['45/9=5', '20*5=100'] Exploring Operation: 100-19=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 90, 58, 45, 40 ]
38
[ "90/45=2", "40/2=20", "58-20=38" ]
Current State: 38:[90, 58, 45, 40], Operations: [] Exploring Operation: 90/45=2, Resulting Numbers: [58, 40, 2] Generated Node #2: [58, 40, 2] from Operation: 90/45=2 Current State: 38:[58, 40, 2], Operations: ['90/45=2'] Exploring Operation: 40/2=20, Resulting Numbers: [58, 20] Generated Node #3: [58, 20] from Operation: 40/2=20 Current State: 38:[58, 20], Operations: ['90/45=2', '40/2=20'] Exploring Operation: 58-20=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 65, 7, 55, 26 ]
39
[ "7+26=33", "65*33=2145", "2145/55=39" ]
Current State: 39:[65, 7, 55, 26], Operations: [] Exploring Operation: 7+26=33, Resulting Numbers: [65, 55, 33] Generated Node #2: [65, 55, 33] from Operation: 7+26=33 Current State: 39:[65, 55, 33], Operations: ['7+26=33'] Exploring Operation: 65*33=2145, Resulting Numbers: [55, 2145] Generated Node #3: [55, 2145] from Operation: 65*33=2145 Current State: 39:[55, 2145], Operations: ['7+26=33', '65*33=2145'] Exploring Operation: 2145/55=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 23, 21, 7, 82 ]
48
[ "23-21=2", "82/2=41", "7+41=48" ]
Current State: 48:[23, 21, 7, 82], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [7, 82, 2] Generated Node #2: [7, 82, 2] from Operation: 23-21=2 Current State: 48:[7, 82, 2], Operations: ['23-21=2'] Exploring Operation: 82/2=41, Resulting Numbers: [7, 41] Generated Node #3: [7, 41] from Operation: 82/2=41 Current State: 48:[7, 41], Operations: ['23-21=2', '82/2=41'] Exploring Operation: 7+41=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 22, 88, 4, 25 ]
95
[ "88-22=66", "4+25=29", "66+29=95" ]
Current State: 95:[22, 88, 4, 25], Operations: [] Exploring Operation: 88-22=66, Resulting Numbers: [4, 25, 66] Generated Node #2: [4, 25, 66] from Operation: 88-22=66 Current State: 95:[4, 25, 66], Operations: ['88-22=66'] Exploring Operation: 4+25=29, Resulting Numbers: [66, 29] Generated Node #3: [66, 29] from Operation: 4+25=29 Current State: 95:[66, 29], Operations: ['88-22=66', '4+25=29'] Exploring Operation: 66+29=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 4, 13, 45, 37 ]
73
[ "13-4=9", "45+37=82", "82-9=73" ]
Current State: 73:[4, 13, 45, 37], Operations: [] Exploring Operation: 13-4=9, Resulting Numbers: [45, 37, 9] Generated Node #2: [45, 37, 9] from Operation: 13-4=9 Current State: 73:[45, 37, 9], Operations: ['13-4=9'] Exploring Operation: 45+37=82, Resulting Numbers: [9, 82] Generated Node #3: [9, 82] from Operation: 45+37=82 Current State: 73:[9, 82], Operations: ['13-4=9', '45+37=82'] Exploring Operation: 82-9=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 17, 2, 95, 57 ]
96
[ "95-17=78", "78/2=39", "57+39=96" ]
Current State: 96:[17, 2, 95, 57], Operations: [] Exploring Operation: 95-17=78, Resulting Numbers: [2, 57, 78] Generated Node #2: [2, 57, 78] from Operation: 95-17=78 Current State: 96:[2, 57, 78], Operations: ['95-17=78'] Exploring Operation: 78/2=39, Resulting Numbers: [57, 39] Generated Node #3: [57, 39] from Operation: 78/2=39 Current State: 96:[57, 39], Operations: ['95-17=78', '78/2=39'] Exploring Operation: 57+39=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 76, 1, 59, 2 ]
18
[ "76-1=75", "59-2=57", "75-57=18" ]
Current State: 18:[76, 1, 59, 2], Operations: [] Exploring Operation: 76-1=75, Resulting Numbers: [59, 2, 75] Generated Node #2: [59, 2, 75] from Operation: 76-1=75 Current State: 18:[59, 2, 75], Operations: ['76-1=75'] Exploring Operation: 59-2=57, Resulting Numbers: [75, 57] Generated Node #3: [75, 57] from Operation: 59-2=57 Current State: 18:[75, 57], Operations: ['76-1=75', '59-2=57'] Exploring Operation: 75-57=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 88, 13, 15, 84 ]
40
[ "15-13=2", "88/2=44", "84-44=40" ]
Current State: 40:[88, 13, 15, 84], Operations: [] Exploring Operation: 15-13=2, Resulting Numbers: [88, 84, 2] Generated Node #2: [88, 84, 2] from Operation: 15-13=2 Current State: 40:[88, 84, 2], Operations: ['15-13=2'] Exploring Operation: 88/2=44, Resulting Numbers: [84, 44] Generated Node #3: [84, 44] from Operation: 88/2=44 Current State: 40:[84, 44], Operations: ['15-13=2', '88/2=44'] Exploring Operation: 84-44=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 29, 33, 3, 35 ]
53
[ "29+35=64", "33/3=11", "64-11=53" ]
Current State: 53:[29, 33, 3, 35], Operations: [] Exploring Operation: 29+35=64, Resulting Numbers: [33, 3, 64] Generated Node #2: [33, 3, 64] from Operation: 29+35=64 Current State: 53:[33, 3, 64], Operations: ['29+35=64'] Exploring Operation: 33/3=11, Resulting Numbers: [64, 11] Generated Node #3: [64, 11] from Operation: 33/3=11 Current State: 53:[64, 11], Operations: ['29+35=64', '33/3=11'] Exploring Operation: 64-11=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 19, 7, 31, 40 ]
97
[ "19+7=26", "31+40=71", "26+71=97" ]
Current State: 97:[19, 7, 31, 40], Operations: [] Exploring Operation: 19+7=26, Resulting Numbers: [31, 40, 26] Generated Node #2: [31, 40, 26] from Operation: 19+7=26 Current State: 97:[31, 40, 26], Operations: ['19+7=26'] Exploring Operation: 31+40=71, Resulting Numbers: [26, 71] Generated Node #3: [26, 71] from Operation: 31+40=71 Current State: 97:[26, 71], Operations: ['19+7=26', '31+40=71'] Exploring Operation: 26+71=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 68, 30, 42, 44 ]
36
[ "68-30=38", "44-42=2", "38-2=36" ]
Current State: 36:[68, 30, 42, 44], Operations: [] Exploring Operation: 68-30=38, Resulting Numbers: [42, 44, 38] Generated Node #2: [42, 44, 38] from Operation: 68-30=38 Current State: 36:[42, 44, 38], Operations: ['68-30=38'] Exploring Operation: 44-42=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 44-42=2 Current State: 36:[38, 2], Operations: ['68-30=38', '44-42=2'] Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 65, 30, 90, 4 ]
64
[ "65-4=61", "90/30=3", "61+3=64" ]
Current State: 64:[65, 30, 90, 4], Operations: [] Exploring Operation: 65-4=61, Resulting Numbers: [30, 90, 61] Generated Node #2: [30, 90, 61] from Operation: 65-4=61 Current State: 64:[30, 90, 61], Operations: ['65-4=61'] Exploring Operation: 90/30=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 90/30=3 Current State: 64:[61, 3], Operations: ['65-4=61', '90/30=3'] Exploring Operation: 61+3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 24, 50, 69, 23 ]
28
[ "24+50=74", "69-23=46", "74-46=28" ]
Current State: 28:[24, 50, 69, 23], Operations: [] Exploring Operation: 24+50=74, Resulting Numbers: [69, 23, 74] Generated Node #2: [69, 23, 74] from Operation: 24+50=74 Current State: 28:[69, 23, 74], Operations: ['24+50=74'] Exploring Operation: 69-23=46, Resulting Numbers: [74, 46] Generated Node #3: [74, 46] from Operation: 69-23=46 Current State: 28:[74, 46], Operations: ['24+50=74', '69-23=46'] Exploring Operation: 74-46=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 18, 60, 26, 95 ]
98
[ "18+60=78", "78/26=3", "95+3=98" ]
Current State: 98:[18, 60, 26, 95], Operations: [] Exploring Operation: 18+60=78, Resulting Numbers: [26, 95, 78] Generated Node #2: [26, 95, 78] from Operation: 18+60=78 Current State: 98:[26, 95, 78], Operations: ['18+60=78'] Exploring Operation: 78/26=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 78/26=3 Current State: 98:[95, 3], Operations: ['18+60=78', '78/26=3'] Exploring Operation: 95+3=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 52, 32, 4, 6 ]
24
[ "52-4=48", "48/6=8", "32-8=24" ]
Current State: 24:[52, 32, 4, 6], Operations: [] Exploring Operation: 52-4=48, Resulting Numbers: [32, 6, 48] Generated Node #2: [32, 6, 48] from Operation: 52-4=48 Current State: 24:[32, 6, 48], Operations: ['52-4=48'] Exploring Operation: 48/6=8, Resulting Numbers: [32, 8] Generated Node #3: [32, 8] from Operation: 48/6=8 Current State: 24:[32, 8], Operations: ['52-4=48', '48/6=8'] Exploring Operation: 32-8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 31, 34, 50, 59 ]
47
[ "34+59=93", "93/31=3", "50-3=47" ]
Current State: 47:[31, 34, 50, 59], Operations: [] Exploring Operation: 34+59=93, Resulting Numbers: [31, 50, 93] Generated Node #2: [31, 50, 93] from Operation: 34+59=93 Current State: 47:[31, 50, 93], Operations: ['34+59=93'] Exploring Operation: 93/31=3, Resulting Numbers: [50, 3] Generated Node #3: [50, 3] from Operation: 93/31=3 Current State: 47:[50, 3], Operations: ['34+59=93', '93/31=3'] Exploring Operation: 50-3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 50, 9, 9, 79 ]
48
[ "50+79=129", "9*9=81", "129-81=48" ]
Current State: 48:[50, 9, 9, 79], Operations: [] Exploring Operation: 50+79=129, Resulting Numbers: [9, 9, 129] Generated Node #2: [9, 9, 129] from Operation: 50+79=129 Current State: 48:[9, 9, 129], Operations: ['50+79=129'] Exploring Operation: 9*9=81, Resulting Numbers: [129, 81] Generated Node #3: [129, 81] from Operation: 9*9=81 Current State: 48:[129, 81], Operations: ['50+79=129', '9*9=81'] Exploring Operation: 129-81=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 89, 52, 68, 92 ]
88
[ "92-89=3", "52*3=156", "156-68=88" ]
Current State: 88:[89, 52, 68, 92], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [52, 68, 3] Generated Node #2: [52, 68, 3] from Operation: 92-89=3 Current State: 88:[52, 68, 3], Operations: ['92-89=3'] Exploring Operation: 52*3=156, Resulting Numbers: [68, 156] Generated Node #3: [68, 156] from Operation: 52*3=156 Current State: 88:[68, 156], Operations: ['92-89=3', '52*3=156'] Exploring Operation: 156-68=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 28, 43, 72, 29 ]
29
[ "28+43=71", "72-71=1", "29*1=29" ]
Current State: 29:[28, 43, 72, 29], Operations: [] Exploring Operation: 28+43=71, Resulting Numbers: [72, 29, 71] Generated Node #2: [72, 29, 71] from Operation: 28+43=71 Current State: 29:[72, 29, 71], Operations: ['28+43=71'] Exploring Operation: 72-71=1, Resulting Numbers: [29, 1] Generated Node #3: [29, 1] from Operation: 72-71=1 Current State: 29:[29, 1], Operations: ['28+43=71', '72-71=1'] Exploring Operation: 29*1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 65, 36, 41, 51 ]
91
[ "65+36=101", "51-41=10", "101-10=91" ]
Current State: 91:[65, 36, 41, 51], Operations: [] Exploring Operation: 65+36=101, Resulting Numbers: [41, 51, 101] Generated Node #2: [41, 51, 101] from Operation: 65+36=101 Current State: 91:[41, 51, 101], Operations: ['65+36=101'] Exploring Operation: 51-41=10, Resulting Numbers: [101, 10] Generated Node #3: [101, 10] from Operation: 51-41=10 Current State: 91:[101, 10], Operations: ['65+36=101', '51-41=10'] Exploring Operation: 101-10=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 87, 4, 75, 98 ]
65
[ "87+75=162", "98+162=260", "260/4=65" ]
Current State: 65:[87, 4, 75, 98], Operations: [] Exploring Operation: 87+75=162, Resulting Numbers: [4, 98, 162] Generated Node #2: [4, 98, 162] from Operation: 87+75=162 Current State: 65:[4, 98, 162], Operations: ['87+75=162'] Exploring Operation: 98+162=260, Resulting Numbers: [4, 260] Generated Node #3: [4, 260] from Operation: 98+162=260 Current State: 65:[4, 260], Operations: ['87+75=162', '98+162=260'] Exploring Operation: 260/4=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 42, 75, 76, 89 ]
73
[ "89-75=14", "42/14=3", "76-3=73" ]
Current State: 73:[42, 75, 76, 89], Operations: [] Exploring Operation: 89-75=14, Resulting Numbers: [42, 76, 14] Generated Node #2: [42, 76, 14] from Operation: 89-75=14 Current State: 73:[42, 76, 14], Operations: ['89-75=14'] Exploring Operation: 42/14=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 42/14=3 Current State: 73:[76, 3], Operations: ['89-75=14', '42/14=3'] Exploring Operation: 76-3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 7, 92, 7, 35 ]
71
[ "7+92=99", "35-7=28", "99-28=71" ]
Current State: 71:[7, 92, 7, 35], Operations: [] Exploring Operation: 7+92=99, Resulting Numbers: [35, 99] Generated Node #2: [35, 99] from Operation: 7+92=99 Current State: 71:[35, 99], Operations: ['7+92=99'] Exploring Operation: 35-7=28, Resulting Numbers: [99, 28] Generated Node #3: [99, 28] from Operation: 35-7=28 Current State: 71:[99, 28], Operations: ['7+92=99', '35-7=28'] Exploring Operation: 99-28=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 96, 75, 4, 27 ]
87
[ "96-75=21", "4*27=108", "108-21=87" ]
Current State: 87:[96, 75, 4, 27], Operations: [] Exploring Operation: 96-75=21, Resulting Numbers: [4, 27, 21] Generated Node #2: [4, 27, 21] from Operation: 96-75=21 Current State: 87:[4, 27, 21], Operations: ['96-75=21'] Exploring Operation: 4*27=108, Resulting Numbers: [21, 108] Generated Node #3: [21, 108] from Operation: 4*27=108 Current State: 87:[21, 108], Operations: ['96-75=21', '4*27=108'] Exploring Operation: 108-21=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 76, 94, 44, 2 ]
78
[ "76-44=32", "32/2=16", "94-16=78" ]
Current State: 78:[76, 94, 44, 2], Operations: [] Exploring Operation: 76-44=32, Resulting Numbers: [94, 2, 32] Generated Node #2: [94, 2, 32] from Operation: 76-44=32 Current State: 78:[94, 2, 32], Operations: ['76-44=32'] Exploring Operation: 32/2=16, Resulting Numbers: [94, 16] Generated Node #3: [94, 16] from Operation: 32/2=16 Current State: 78:[94, 16], Operations: ['76-44=32', '32/2=16'] Exploring Operation: 94-16=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 12, 41, 51, 95 ]
32
[ "41+95=136", "12*136=1632", "1632/51=32" ]
Current State: 32:[12, 41, 51, 95], Operations: [] Exploring Operation: 41+95=136, Resulting Numbers: [12, 51, 136] Generated Node #2: [12, 51, 136] from Operation: 41+95=136 Current State: 32:[12, 51, 136], Operations: ['41+95=136'] Exploring Operation: 12*136=1632, Resulting Numbers: [51, 1632] Generated Node #3: [51, 1632] from Operation: 12*136=1632 Current State: 32:[51, 1632], Operations: ['41+95=136', '12*136=1632'] Exploring Operation: 1632/51=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 55, 8, 7, 70 ]
97
[ "70-55=15", "7*15=105", "105-8=97" ]
Current State: 97:[55, 8, 7, 70], Operations: [] Exploring Operation: 70-55=15, Resulting Numbers: [8, 7, 15] Generated Node #2: [8, 7, 15] from Operation: 70-55=15 Current State: 97:[8, 7, 15], Operations: ['70-55=15'] Exploring Operation: 7*15=105, Resulting Numbers: [8, 105] Generated Node #3: [8, 105] from Operation: 7*15=105 Current State: 97:[8, 105], Operations: ['70-55=15', '7*15=105'] Exploring Operation: 105-8=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 66, 11, 92, 4 ]
19
[ "66+11=77", "92+4=96", "96-77=19" ]
Current State: 19:[66, 11, 92, 4], Operations: [] Exploring Operation: 66+11=77, Resulting Numbers: [92, 4, 77] Generated Node #2: [92, 4, 77] from Operation: 66+11=77 Current State: 19:[92, 4, 77], Operations: ['66+11=77'] Exploring Operation: 92+4=96, Resulting Numbers: [77, 96] Generated Node #3: [77, 96] from Operation: 92+4=96 Current State: 19:[77, 96], Operations: ['66+11=77', '92+4=96'] Exploring Operation: 96-77=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 63, 91, 95, 86 ]
82
[ "91-86=5", "95/5=19", "63+19=82" ]
Current State: 82:[63, 91, 95, 86], Operations: [] Exploring Operation: 91-86=5, Resulting Numbers: [63, 95, 5] Generated Node #2: [63, 95, 5] from Operation: 91-86=5 Current State: 82:[63, 95, 5], Operations: ['91-86=5'] Exploring Operation: 95/5=19, Resulting Numbers: [63, 19] Generated Node #3: [63, 19] from Operation: 95/5=19 Current State: 82:[63, 19], Operations: ['91-86=5', '95/5=19'] Exploring Operation: 63+19=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 62, 8, 46, 39 ]
61
[ "62-8=54", "46-39=7", "54+7=61" ]
Current State: 61:[62, 8, 46, 39], Operations: [] Exploring Operation: 62-8=54, Resulting Numbers: [46, 39, 54] Generated Node #2: [46, 39, 54] from Operation: 62-8=54 Current State: 61:[46, 39, 54], Operations: ['62-8=54'] Exploring Operation: 46-39=7, Resulting Numbers: [54, 7] Generated Node #3: [54, 7] from Operation: 46-39=7 Current State: 61:[54, 7], Operations: ['62-8=54', '46-39=7'] Exploring Operation: 54+7=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 53, 47, 43, 95 ]
47
[ "53+43=96", "96-95=1", "47*1=47" ]
Current State: 47:[53, 47, 43, 95], Operations: [] Exploring Operation: 53+43=96, Resulting Numbers: [47, 95, 96] Generated Node #2: [47, 95, 96] from Operation: 53+43=96 Current State: 47:[47, 95, 96], Operations: ['53+43=96'] Exploring Operation: 96-95=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 96-95=1 Current State: 47:[47, 1], Operations: ['53+43=96', '96-95=1'] Exploring Operation: 47*1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 4, 97, 61, 53 ]
65
[ "61-53=8", "4*8=32", "97-32=65" ]
Current State: 65:[4, 97, 61, 53], Operations: [] Exploring Operation: 61-53=8, Resulting Numbers: [4, 97, 8] Generated Node #2: [4, 97, 8] from Operation: 61-53=8 Current State: 65:[4, 97, 8], Operations: ['61-53=8'] Exploring Operation: 4*8=32, Resulting Numbers: [97, 32] Generated Node #3: [97, 32] from Operation: 4*8=32 Current State: 65:[97, 32], Operations: ['61-53=8', '4*8=32'] Exploring Operation: 97-32=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 70, 49, 60, 30 ]
21
[ "60-30=30", "49*30=1470", "1470/70=21" ]
Current State: 21:[70, 49, 60, 30], Operations: [] Exploring Operation: 60-30=30, Resulting Numbers: [70, 49, 30] Generated Node #2: [70, 49, 30] from Operation: 60-30=30 Current State: 21:[70, 49, 30], Operations: ['60-30=30'] Exploring Operation: 49*30=1470, Resulting Numbers: [70, 1470] Generated Node #3: [70, 1470] from Operation: 49*30=1470 Current State: 21:[70, 1470], Operations: ['60-30=30', '49*30=1470'] Exploring Operation: 1470/70=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 46, 4, 59, 21 ]
31
[ "59-46=13", "4*13=52", "52-21=31" ]
Current State: 31:[46, 4, 59, 21], Operations: [] Exploring Operation: 59-46=13, Resulting Numbers: [4, 21, 13] Generated Node #2: [4, 21, 13] from Operation: 59-46=13 Current State: 31:[4, 21, 13], Operations: ['59-46=13'] Exploring Operation: 4*13=52, Resulting Numbers: [21, 52] Generated Node #3: [21, 52] from Operation: 4*13=52 Current State: 31:[21, 52], Operations: ['59-46=13', '4*13=52'] Exploring Operation: 52-21=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 86, 79, 29, 32 ]
55
[ "86+79=165", "32-29=3", "165/3=55" ]
Current State: 55:[86, 79, 29, 32], Operations: [] Exploring Operation: 86+79=165, Resulting Numbers: [29, 32, 165] Generated Node #2: [29, 32, 165] from Operation: 86+79=165 Current State: 55:[29, 32, 165], Operations: ['86+79=165'] Exploring Operation: 32-29=3, Resulting Numbers: [165, 3] Generated Node #3: [165, 3] from Operation: 32-29=3 Current State: 55:[165, 3], Operations: ['86+79=165', '32-29=3'] Exploring Operation: 165/3=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 10, 12, 20, 80 ]
20
[ "10*12=120", "20+80=100", "120-100=20" ]
Current State: 20:[10, 12, 20, 80], Operations: [] Exploring Operation: 10*12=120, Resulting Numbers: [20, 80, 120] Generated Node #2: [20, 80, 120] from Operation: 10*12=120 Current State: 20:[20, 80, 120], Operations: ['10*12=120'] Exploring Operation: 20+80=100, Resulting Numbers: [120, 100] Generated Node #3: [120, 100] from Operation: 20+80=100 Current State: 20:[120, 100], Operations: ['10*12=120', '20+80=100'] Exploring Operation: 120-100=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 24, 32, 97, 96 ]
25
[ "24*96=2304", "2304/32=72", "97-72=25" ]
Current State: 25:[24, 32, 97, 96], Operations: [] Exploring Operation: 24*96=2304, Resulting Numbers: [32, 97, 2304] Generated Node #2: [32, 97, 2304] from Operation: 24*96=2304 Current State: 25:[32, 97, 2304], Operations: ['24*96=2304'] Exploring Operation: 2304/32=72, Resulting Numbers: [97, 72] Generated Node #3: [97, 72] from Operation: 2304/32=72 Current State: 25:[97, 72], Operations: ['24*96=2304', '2304/32=72'] Exploring Operation: 97-72=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 41, 58, 33, 88 ]
22
[ "41+58=99", "33+88=121", "121-99=22" ]
Current State: 22:[41, 58, 33, 88], Operations: [] Exploring Operation: 41+58=99, Resulting Numbers: [33, 88, 99] Generated Node #2: [33, 88, 99] from Operation: 41+58=99 Current State: 22:[33, 88, 99], Operations: ['41+58=99'] Exploring Operation: 33+88=121, Resulting Numbers: [99, 121] Generated Node #3: [99, 121] from Operation: 33+88=121 Current State: 22:[99, 121], Operations: ['41+58=99', '33+88=121'] Exploring Operation: 121-99=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 33, 26, 48, 84 ]
23
[ "33+26=59", "84-48=36", "59-36=23" ]
Current State: 23:[33, 26, 48, 84], Operations: [] Exploring Operation: 33+26=59, Resulting Numbers: [48, 84, 59] Generated Node #2: [48, 84, 59] from Operation: 33+26=59 Current State: 23:[48, 84, 59], Operations: ['33+26=59'] Exploring Operation: 84-48=36, Resulting Numbers: [59, 36] Generated Node #3: [59, 36] from Operation: 84-48=36 Current State: 23:[59, 36], Operations: ['33+26=59', '84-48=36'] Exploring Operation: 59-36=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 48, 86, 64, 1 ]
27
[ "86-48=38", "64+1=65", "65-38=27" ]
Current State: 27:[48, 86, 64, 1], Operations: [] Exploring Operation: 86-48=38, Resulting Numbers: [64, 1, 38] Generated Node #2: [64, 1, 38] from Operation: 86-48=38 Current State: 27:[64, 1, 38], Operations: ['86-48=38'] Exploring Operation: 64+1=65, Resulting Numbers: [38, 65] Generated Node #3: [38, 65] from Operation: 64+1=65 Current State: 27:[38, 65], Operations: ['86-48=38', '64+1=65'] Exploring Operation: 65-38=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 36, 94, 15, 12 ]
49
[ "36*15=540", "540/12=45", "94-45=49" ]
Current State: 49:[36, 94, 15, 12], Operations: [] Exploring Operation: 36*15=540, Resulting Numbers: [94, 12, 540] Generated Node #2: [94, 12, 540] from Operation: 36*15=540 Current State: 49:[94, 12, 540], Operations: ['36*15=540'] Exploring Operation: 540/12=45, Resulting Numbers: [94, 45] Generated Node #3: [94, 45] from Operation: 540/12=45 Current State: 49:[94, 45], Operations: ['36*15=540', '540/12=45'] Exploring Operation: 94-45=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 84, 32, 68, 73 ]
89
[ "84-32=52", "68+73=141", "141-52=89" ]
Current State: 89:[84, 32, 68, 73], Operations: [] Exploring Operation: 84-32=52, Resulting Numbers: [68, 73, 52] Generated Node #2: [68, 73, 52] from Operation: 84-32=52 Current State: 89:[68, 73, 52], Operations: ['84-32=52'] Exploring Operation: 68+73=141, Resulting Numbers: [52, 141] Generated Node #3: [52, 141] from Operation: 68+73=141 Current State: 89:[52, 141], Operations: ['84-32=52', '68+73=141'] Exploring Operation: 141-52=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 72, 52, 8, 18 ]
98
[ "72+52=124", "8+18=26", "124-26=98" ]
Current State: 98:[72, 52, 8, 18], Operations: [] Exploring Operation: 72+52=124, Resulting Numbers: [8, 18, 124] Generated Node #2: [8, 18, 124] from Operation: 72+52=124 Current State: 98:[8, 18, 124], Operations: ['72+52=124'] Exploring Operation: 8+18=26, Resulting Numbers: [124, 26] Generated Node #3: [124, 26] from Operation: 8+18=26 Current State: 98:[124, 26], Operations: ['72+52=124', '8+18=26'] Exploring Operation: 124-26=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 82, 93, 34, 42 ]
88
[ "93-82=11", "42-34=8", "11*8=88" ]
Current State: 88:[82, 93, 34, 42], Operations: [] Exploring Operation: 93-82=11, Resulting Numbers: [34, 42, 11] Generated Node #2: [34, 42, 11] from Operation: 93-82=11 Current State: 88:[34, 42, 11], Operations: ['93-82=11'] Exploring Operation: 42-34=8, Resulting Numbers: [11, 8] Generated Node #3: [11, 8] from Operation: 42-34=8 Current State: 88:[11, 8], Operations: ['93-82=11', '42-34=8'] Exploring Operation: 11*8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 31, 2, 75, 72 ]
59
[ "31*2=62", "75-72=3", "62-3=59" ]
Current State: 59:[31, 2, 75, 72], Operations: [] Exploring Operation: 31*2=62, Resulting Numbers: [75, 72, 62] Generated Node #2: [75, 72, 62] from Operation: 31*2=62 Current State: 59:[75, 72, 62], Operations: ['31*2=62'] Exploring Operation: 75-72=3, Resulting Numbers: [62, 3] Generated Node #3: [62, 3] from Operation: 75-72=3 Current State: 59:[62, 3], Operations: ['31*2=62', '75-72=3'] Exploring Operation: 62-3=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 3, 18, 9, 14 ]
13
[ "14-3=11", "18/9=2", "11+2=13" ]
Current State: 13:[3, 18, 9, 14], Operations: [] Exploring Operation: 14-3=11, Resulting Numbers: [18, 9, 11] Generated Node #2: [18, 9, 11] from Operation: 14-3=11 Current State: 13:[18, 9, 11], Operations: ['14-3=11'] Exploring Operation: 18/9=2, Resulting Numbers: [11, 2] Generated Node #3: [11, 2] from Operation: 18/9=2 Current State: 13:[11, 2], Operations: ['14-3=11', '18/9=2'] Exploring Operation: 11+2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 98, 26, 43, 6 ]
39
[ "98+6=104", "104/26=4", "43-4=39" ]
Current State: 39:[98, 26, 43, 6], Operations: [] Exploring Operation: 98+6=104, Resulting Numbers: [26, 43, 104] Generated Node #2: [26, 43, 104] from Operation: 98+6=104 Current State: 39:[26, 43, 104], Operations: ['98+6=104'] Exploring Operation: 104/26=4, Resulting Numbers: [43, 4] Generated Node #3: [43, 4] from Operation: 104/26=4 Current State: 39:[43, 4], Operations: ['98+6=104', '104/26=4'] Exploring Operation: 43-4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 47, 63, 84, 83 ]
17
[ "63-47=16", "84-83=1", "16+1=17" ]
Current State: 17:[47, 63, 84, 83], Operations: [] Exploring Operation: 63-47=16, Resulting Numbers: [84, 83, 16] Generated Node #2: [84, 83, 16] from Operation: 63-47=16 Current State: 17:[84, 83, 16], Operations: ['63-47=16'] Exploring Operation: 84-83=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 84-83=1 Current State: 17:[16, 1], Operations: ['63-47=16', '84-83=1'] Exploring Operation: 16+1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 49, 9, 91, 22 ]
58
[ "49+91=140", "9*22=198", "198-140=58" ]
Current State: 58:[49, 9, 91, 22], Operations: [] Exploring Operation: 49+91=140, Resulting Numbers: [9, 22, 140] Generated Node #2: [9, 22, 140] from Operation: 49+91=140 Current State: 58:[9, 22, 140], Operations: ['49+91=140'] Exploring Operation: 9*22=198, Resulting Numbers: [140, 198] Generated Node #3: [140, 198] from Operation: 9*22=198 Current State: 58:[140, 198], Operations: ['49+91=140', '9*22=198'] Exploring Operation: 198-140=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 27, 5, 11, 54 ]
36
[ "11-5=6", "54/6=9", "27+9=36" ]
Current State: 36:[27, 5, 11, 54], Operations: [] Exploring Operation: 11-5=6, Resulting Numbers: [27, 54, 6] Generated Node #2: [27, 54, 6] from Operation: 11-5=6 Current State: 36:[27, 54, 6], Operations: ['11-5=6'] Exploring Operation: 54/6=9, Resulting Numbers: [27, 9] Generated Node #3: [27, 9] from Operation: 54/6=9 Current State: 36:[27, 9], Operations: ['11-5=6', '54/6=9'] Exploring Operation: 27+9=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 65, 52, 9, 17 ]
13
[ "65-52=13", "9+17=26", "26-13=13" ]
Current State: 13:[65, 52, 9, 17], Operations: [] Exploring Operation: 65-52=13, Resulting Numbers: [9, 17, 13] Generated Node #2: [9, 17, 13] from Operation: 65-52=13 Current State: 13:[9, 17, 13], Operations: ['65-52=13'] Exploring Operation: 9+17=26, Resulting Numbers: [13, 26] Generated Node #3: [13, 26] from Operation: 9+17=26 Current State: 13:[13, 26], Operations: ['65-52=13', '9+17=26'] Exploring Operation: 26-13=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 27, 14, 87, 1 ]
47
[ "27+14=41", "87+1=88", "88-41=47" ]
Current State: 47:[27, 14, 87, 1], Operations: [] Exploring Operation: 27+14=41, Resulting Numbers: [87, 1, 41] Generated Node #2: [87, 1, 41] from Operation: 27+14=41 Current State: 47:[87, 1, 41], Operations: ['27+14=41'] Exploring Operation: 87+1=88, Resulting Numbers: [41, 88] Generated Node #3: [41, 88] from Operation: 87+1=88 Current State: 47:[41, 88], Operations: ['27+14=41', '87+1=88'] Exploring Operation: 88-41=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 81, 79, 93, 27 ]
60
[ "81-79=2", "93+27=120", "120/2=60" ]
Current State: 60:[81, 79, 93, 27], Operations: [] Exploring Operation: 81-79=2, Resulting Numbers: [93, 27, 2] Generated Node #2: [93, 27, 2] from Operation: 81-79=2 Current State: 60:[93, 27, 2], Operations: ['81-79=2'] Exploring Operation: 93+27=120, Resulting Numbers: [2, 120] Generated Node #3: [2, 120] from Operation: 93+27=120 Current State: 60:[2, 120], Operations: ['81-79=2', '93+27=120'] Exploring Operation: 120/2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 86, 66, 9, 2 ]
90
[ "86-66=20", "9*20=180", "180/2=90" ]
Current State: 90:[86, 66, 9, 2], Operations: [] Exploring Operation: 86-66=20, Resulting Numbers: [9, 2, 20] Generated Node #2: [9, 2, 20] from Operation: 86-66=20 Current State: 90:[9, 2, 20], Operations: ['86-66=20'] Exploring Operation: 9*20=180, Resulting Numbers: [2, 180] Generated Node #3: [2, 180] from Operation: 9*20=180 Current State: 90:[2, 180], Operations: ['86-66=20', '9*20=180'] Exploring Operation: 180/2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 10, 48, 35, 46 ]
30
[ "10+46=56", "48*35=1680", "1680/56=30" ]
Current State: 30:[10, 48, 35, 46], Operations: [] Exploring Operation: 10+46=56, Resulting Numbers: [48, 35, 56] Generated Node #2: [48, 35, 56] from Operation: 10+46=56 Current State: 30:[48, 35, 56], Operations: ['10+46=56'] Exploring Operation: 48*35=1680, Resulting Numbers: [56, 1680] Generated Node #3: [56, 1680] from Operation: 48*35=1680 Current State: 30:[56, 1680], Operations: ['10+46=56', '48*35=1680'] Exploring Operation: 1680/56=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 3, 4, 40, 45 ]
59
[ "45/3=15", "4+40=44", "15+44=59" ]
Current State: 59:[3, 4, 40, 45], Operations: [] Exploring Operation: 45/3=15, Resulting Numbers: [4, 40, 15] Generated Node #2: [4, 40, 15] from Operation: 45/3=15 Current State: 59:[4, 40, 15], Operations: ['45/3=15'] Exploring Operation: 4+40=44, Resulting Numbers: [15, 44] Generated Node #3: [15, 44] from Operation: 4+40=44 Current State: 59:[15, 44], Operations: ['45/3=15', '4+40=44'] Exploring Operation: 15+44=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 67, 2, 75, 4 ]
83
[ "4-2=2", "75*2=150", "150-67=83" ]
Current State: 83:[67, 2, 75, 4], Operations: [] Exploring Operation: 4-2=2, Resulting Numbers: [67, 75, 2] Generated Node #2: [67, 75, 2] from Operation: 4-2=2 Current State: 83:[67, 75, 2], Operations: ['4-2=2'] Exploring Operation: 75*2=150, Resulting Numbers: [67, 150] Generated Node #3: [67, 150] from Operation: 75*2=150 Current State: 83:[67, 150], Operations: ['4-2=2', '75*2=150'] Exploring Operation: 150-67=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 39, 27, 54, 37 ]
78
[ "39+37=76", "54/27=2", "76+2=78" ]
Current State: 78:[39, 27, 54, 37], Operations: [] Exploring Operation: 39+37=76, Resulting Numbers: [27, 54, 76] Generated Node #2: [27, 54, 76] from Operation: 39+37=76 Current State: 78:[27, 54, 76], Operations: ['39+37=76'] Exploring Operation: 54/27=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 54/27=2 Current State: 78:[76, 2], Operations: ['39+37=76', '54/27=2'] Exploring Operation: 76+2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 78, 77, 63, 91 ]
65
[ "78*63=4914", "91+4914=5005", "5005/77=65" ]
Current State: 65:[78, 77, 63, 91], Operations: [] Exploring Operation: 78*63=4914, Resulting Numbers: [77, 91, 4914] Generated Node #2: [77, 91, 4914] from Operation: 78*63=4914 Current State: 65:[77, 91, 4914], Operations: ['78*63=4914'] Exploring Operation: 91+4914=5005, Resulting Numbers: [77, 5005] Generated Node #3: [77, 5005] from Operation: 91+4914=5005 Current State: 65:[77, 5005], Operations: ['78*63=4914', '91+4914=5005'] Exploring Operation: 5005/77=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 59, 66, 60, 18 ]
49
[ "66-59=7", "60-18=42", "7+42=49" ]
Current State: 49:[59, 66, 60, 18], Operations: [] Exploring Operation: 66-59=7, Resulting Numbers: [60, 18, 7] Generated Node #2: [60, 18, 7] from Operation: 66-59=7 Current State: 49:[60, 18, 7], Operations: ['66-59=7'] Exploring Operation: 60-18=42, Resulting Numbers: [7, 42] Generated Node #3: [7, 42] from Operation: 60-18=42 Current State: 49:[7, 42], Operations: ['66-59=7', '60-18=42'] Exploring Operation: 7+42=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 95, 98, 84, 78 ]
31
[ "95+98=193", "84+78=162", "193-162=31" ]
Current State: 31:[95, 98, 84, 78], Operations: [] Exploring Operation: 95+98=193, Resulting Numbers: [84, 78, 193] Generated Node #2: [84, 78, 193] from Operation: 95+98=193 Current State: 31:[84, 78, 193], Operations: ['95+98=193'] Exploring Operation: 84+78=162, Resulting Numbers: [193, 162] Generated Node #3: [193, 162] from Operation: 84+78=162 Current State: 31:[193, 162], Operations: ['95+98=193', '84+78=162'] Exploring Operation: 193-162=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 61, 37, 35, 81 ]
18
[ "61+37=98", "35+81=116", "116-98=18" ]
Current State: 18:[61, 37, 35, 81], Operations: [] Exploring Operation: 61+37=98, Resulting Numbers: [35, 81, 98] Generated Node #2: [35, 81, 98] from Operation: 61+37=98 Current State: 18:[35, 81, 98], Operations: ['61+37=98'] Exploring Operation: 35+81=116, Resulting Numbers: [98, 116] Generated Node #3: [98, 116] from Operation: 35+81=116 Current State: 18:[98, 116], Operations: ['61+37=98', '35+81=116'] Exploring Operation: 116-98=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 4, 5, 84, 36 ]
100
[ "4*5=20", "84+36=120", "120-20=100" ]
Current State: 100:[4, 5, 84, 36], Operations: [] Exploring Operation: 4*5=20, Resulting Numbers: [84, 36, 20] Generated Node #2: [84, 36, 20] from Operation: 4*5=20 Current State: 100:[84, 36, 20], Operations: ['4*5=20'] Exploring Operation: 84+36=120, Resulting Numbers: [20, 120] Generated Node #3: [20, 120] from Operation: 84+36=120 Current State: 100:[20, 120], Operations: ['4*5=20', '84+36=120'] Exploring Operation: 120-20=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 72, 92, 94, 38 ]
17
[ "72-38=34", "94-92=2", "34/2=17" ]
Current State: 17:[72, 92, 94, 38], Operations: [] Exploring Operation: 72-38=34, Resulting Numbers: [92, 94, 34] Generated Node #2: [92, 94, 34] from Operation: 72-38=34 Current State: 17:[92, 94, 34], Operations: ['72-38=34'] Exploring Operation: 94-92=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 94-92=2 Current State: 17:[34, 2], Operations: ['72-38=34', '94-92=2'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 51, 91, 84, 42 ]
45
[ "91-84=7", "42/7=6", "51-6=45" ]
Current State: 45:[51, 91, 84, 42], Operations: [] Exploring Operation: 91-84=7, Resulting Numbers: [51, 42, 7] Generated Node #2: [51, 42, 7] from Operation: 91-84=7 Current State: 45:[51, 42, 7], Operations: ['91-84=7'] Exploring Operation: 42/7=6, Resulting Numbers: [51, 6] Generated Node #3: [51, 6] from Operation: 42/7=6 Current State: 45:[51, 6], Operations: ['91-84=7', '42/7=6'] Exploring Operation: 51-6=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 55, 45, 28, 49 ]
11
[ "55-45=10", "49-28=21", "21-10=11" ]
Current State: 11:[55, 45, 28, 49], Operations: [] Exploring Operation: 55-45=10, Resulting Numbers: [28, 49, 10] Generated Node #2: [28, 49, 10] from Operation: 55-45=10 Current State: 11:[28, 49, 10], Operations: ['55-45=10'] Exploring Operation: 49-28=21, Resulting Numbers: [10, 21] Generated Node #3: [10, 21] from Operation: 49-28=21 Current State: 11:[10, 21], Operations: ['55-45=10', '49-28=21'] Exploring Operation: 21-10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 37, 63, 28, 70 ]
39
[ "63-28=35", "70/35=2", "37+2=39" ]
Current State: 39:[37, 63, 28, 70], Operations: [] Exploring Operation: 63-28=35, Resulting Numbers: [37, 70, 35] Generated Node #2: [37, 70, 35] from Operation: 63-28=35 Current State: 39:[37, 70, 35], Operations: ['63-28=35'] Exploring Operation: 70/35=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 70/35=2 Current State: 39:[37, 2], Operations: ['63-28=35', '70/35=2'] Exploring Operation: 37+2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 24, 10, 47, 12 ]
55
[ "24/12=2", "10+47=57", "57-2=55" ]
Current State: 55:[24, 10, 47, 12], Operations: [] Exploring Operation: 24/12=2, Resulting Numbers: [10, 47, 2] Generated Node #2: [10, 47, 2] from Operation: 24/12=2 Current State: 55:[10, 47, 2], Operations: ['24/12=2'] Exploring Operation: 10+47=57, Resulting Numbers: [2, 57] Generated Node #3: [2, 57] from Operation: 10+47=57 Current State: 55:[2, 57], Operations: ['24/12=2', '10+47=57'] Exploring Operation: 57-2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 6, 63, 3, 47 ]
28
[ "63-6=57", "57/3=19", "47-19=28" ]
Current State: 28:[6, 63, 3, 47], Operations: [] Exploring Operation: 63-6=57, Resulting Numbers: [3, 47, 57] Generated Node #2: [3, 47, 57] from Operation: 63-6=57 Current State: 28:[3, 47, 57], Operations: ['63-6=57'] Exploring Operation: 57/3=19, Resulting Numbers: [47, 19] Generated Node #3: [47, 19] from Operation: 57/3=19 Current State: 28:[47, 19], Operations: ['63-6=57', '57/3=19'] Exploring Operation: 47-19=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 72, 70, 14, 2 ]
23
[ "72-14=58", "70/2=35", "58-35=23" ]
Current State: 23:[72, 70, 14, 2], Operations: [] Exploring Operation: 72-14=58, Resulting Numbers: [70, 2, 58] Generated Node #2: [70, 2, 58] from Operation: 72-14=58 Current State: 23:[70, 2, 58], Operations: ['72-14=58'] Exploring Operation: 70/2=35, Resulting Numbers: [58, 35] Generated Node #3: [58, 35] from Operation: 70/2=35 Current State: 23:[58, 35], Operations: ['72-14=58', '70/2=35'] Exploring Operation: 58-35=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 10, 4, 89, 19 ]
94
[ "10+4=14", "89+19=108", "108-14=94" ]
Current State: 94:[10, 4, 89, 19], Operations: [] Exploring Operation: 10+4=14, Resulting Numbers: [89, 19, 14] Generated Node #2: [89, 19, 14] from Operation: 10+4=14 Current State: 94:[89, 19, 14], Operations: ['10+4=14'] Exploring Operation: 89+19=108, Resulting Numbers: [14, 108] Generated Node #3: [14, 108] from Operation: 89+19=108 Current State: 94:[14, 108], Operations: ['10+4=14', '89+19=108'] Exploring Operation: 108-14=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 74, 13, 26, 37 ]
69
[ "37-26=11", "13*11=143", "143-74=69" ]
Current State: 69:[74, 13, 26, 37], Operations: [] Exploring Operation: 37-26=11, Resulting Numbers: [74, 13, 11] Generated Node #2: [74, 13, 11] from Operation: 37-26=11 Current State: 69:[74, 13, 11], Operations: ['37-26=11'] Exploring Operation: 13*11=143, Resulting Numbers: [74, 143] Generated Node #3: [74, 143] from Operation: 13*11=143 Current State: 69:[74, 143], Operations: ['37-26=11', '13*11=143'] Exploring Operation: 143-74=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 24, 94, 54, 10 ]
28
[ "94-54=40", "40/10=4", "24+4=28" ]
Current State: 28:[24, 94, 54, 10], Operations: [] Exploring Operation: 94-54=40, Resulting Numbers: [24, 10, 40] Generated Node #2: [24, 10, 40] from Operation: 94-54=40 Current State: 28:[24, 10, 40], Operations: ['94-54=40'] Exploring Operation: 40/10=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 40/10=4 Current State: 28:[24, 4], Operations: ['94-54=40', '40/10=4'] Exploring Operation: 24+4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 8, 38, 25, 2 ]
52
[ "8+25=33", "38/2=19", "33+19=52" ]
Current State: 52:[8, 38, 25, 2], Operations: [] Exploring Operation: 8+25=33, Resulting Numbers: [38, 2, 33] Generated Node #2: [38, 2, 33] from Operation: 8+25=33 Current State: 52:[38, 2, 33], Operations: ['8+25=33'] Exploring Operation: 38/2=19, Resulting Numbers: [33, 19] Generated Node #3: [33, 19] from Operation: 38/2=19 Current State: 52:[33, 19], Operations: ['8+25=33', '38/2=19'] Exploring Operation: 33+19=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 50, 68, 13, 17 ]
85
[ "68-50=18", "18-13=5", "17*5=85" ]
Current State: 85:[50, 68, 13, 17], Operations: [] Exploring Operation: 68-50=18, Resulting Numbers: [13, 17, 18] Generated Node #2: [13, 17, 18] from Operation: 68-50=18 Current State: 85:[13, 17, 18], Operations: ['68-50=18'] Exploring Operation: 18-13=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 18-13=5 Current State: 85:[17, 5], Operations: ['68-50=18', '18-13=5'] Exploring Operation: 17*5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 80, 82, 84, 41 ]
76
[ "80*82=6560", "6560/41=160", "160-84=76" ]
Current State: 76:[80, 82, 84, 41], Operations: [] Exploring Operation: 80*82=6560, Resulting Numbers: [84, 41, 6560] Generated Node #2: [84, 41, 6560] from Operation: 80*82=6560 Current State: 76:[84, 41, 6560], Operations: ['80*82=6560'] Exploring Operation: 6560/41=160, Resulting Numbers: [84, 160] Generated Node #3: [84, 160] from Operation: 6560/41=160 Current State: 76:[84, 160], Operations: ['80*82=6560', '6560/41=160'] Exploring Operation: 160-84=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 19, 36, 49, 72 ]
40
[ "36-19=17", "72-49=23", "17+23=40" ]
Current State: 40:[19, 36, 49, 72], Operations: [] Exploring Operation: 36-19=17, Resulting Numbers: [49, 72, 17] Generated Node #2: [49, 72, 17] from Operation: 36-19=17 Current State: 40:[49, 72, 17], Operations: ['36-19=17'] Exploring Operation: 72-49=23, Resulting Numbers: [17, 23] Generated Node #3: [17, 23] from Operation: 72-49=23 Current State: 40:[17, 23], Operations: ['36-19=17', '72-49=23'] Exploring Operation: 17+23=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4