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
[ 63, 2, 83, 92 ]
38
[ "63+83=146", "2*92=184", "184-146=38" ]
Current State: 38:[63, 2, 83, 92], Operations: [] Exploring Operation: 63+83=146, Resulting Numbers: [2, 92, 146] Generated Node #2: [2, 92, 146] from Operation: 63+83=146 Current State: 38:[2, 92, 146], Operations: ['63+83=146'] Exploring Operation: 2*92=184, Resulting Numbers: [146, 184] Generated Node #3: [146, 184] from Operation: 2*92=184 Current State: 38:[146, 184], Operations: ['63+83=146', '2*92=184'] Exploring Operation: 184-146=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 18, 10, 45, 67 ]
40
[ "18+45=63", "67-63=4", "10*4=40" ]
Current State: 40:[18, 10, 45, 67], Operations: [] Exploring Operation: 18+45=63, Resulting Numbers: [10, 67, 63] Generated Node #2: [10, 67, 63] from Operation: 18+45=63 Current State: 40:[10, 67, 63], Operations: ['18+45=63'] Exploring Operation: 67-63=4, Resulting Numbers: [10, 4] Generated Node #3: [10, 4] from Operation: 67-63=4 Current State: 40:[10, 4], Operations: ['18+45=63', '67-63=4'] Exploring Operation: 10*4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 21, 63, 7, 10 ]
77
[ "21-7=14", "10*14=140", "140-63=77" ]
Current State: 77:[21, 63, 7, 10], Operations: [] Exploring Operation: 21-7=14, Resulting Numbers: [63, 10, 14] Generated Node #2: [63, 10, 14] from Operation: 21-7=14 Current State: 77:[63, 10, 14], Operations: ['21-7=14'] Exploring Operation: 10*14=140, Resulting Numbers: [63, 140] Generated Node #3: [63, 140] from Operation: 10*14=140 Current State: 77:[63, 140], Operations: ['21-7=14', '10*14=140'] Exploring Operation: 140-63=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 20, 1, 41, 38 ]
57
[ "20-1=19", "41-38=3", "19*3=57" ]
Current State: 57:[20, 1, 41, 38], Operations: [] Exploring Operation: 20-1=19, Resulting Numbers: [41, 38, 19] Generated Node #2: [41, 38, 19] from Operation: 20-1=19 Current State: 57:[41, 38, 19], Operations: ['20-1=19'] Exploring Operation: 41-38=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 41-38=3 Current State: 57:[19, 3], Operations: ['20-1=19', '41-38=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 14, 47, 89, 26 ]
29
[ "89-47=42", "42/14=3", "26+3=29" ]
Current State: 29:[14, 47, 89, 26], Operations: [] Exploring Operation: 89-47=42, Resulting Numbers: [14, 26, 42] Generated Node #2: [14, 26, 42] from Operation: 89-47=42 Current State: 29:[14, 26, 42], Operations: ['89-47=42'] Exploring Operation: 42/14=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 42/14=3 Current State: 29:[26, 3], Operations: ['89-47=42', '42/14=3'] Exploring Operation: 26+3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 8, 60, 19, 13 ]
35
[ "13-8=5", "19*5=95", "95-60=35" ]
Current State: 35:[8, 60, 19, 13], Operations: [] Exploring Operation: 13-8=5, Resulting Numbers: [60, 19, 5] Generated Node #2: [60, 19, 5] from Operation: 13-8=5 Current State: 35:[60, 19, 5], Operations: ['13-8=5'] Exploring Operation: 19*5=95, Resulting Numbers: [60, 95] Generated Node #3: [60, 95] from Operation: 19*5=95 Current State: 35:[60, 95], Operations: ['13-8=5', '19*5=95'] Exploring Operation: 95-60=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 14, 9, 25, 51 ]
74
[ "14-9=5", "25*5=125", "125-51=74" ]
Current State: 74:[14, 9, 25, 51], Operations: [] Exploring Operation: 14-9=5, Resulting Numbers: [25, 51, 5] Generated Node #2: [25, 51, 5] from Operation: 14-9=5 Current State: 74:[25, 51, 5], Operations: ['14-9=5'] Exploring Operation: 25*5=125, Resulting Numbers: [51, 125] Generated Node #3: [51, 125] from Operation: 25*5=125 Current State: 74:[51, 125], Operations: ['14-9=5', '25*5=125'] Exploring Operation: 125-51=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 11, 84, 55, 12 ]
77
[ "55/11=5", "84-12=72", "5+72=77" ]
Current State: 77:[11, 84, 55, 12], Operations: [] Exploring Operation: 55/11=5, Resulting Numbers: [84, 12, 5] Generated Node #2: [84, 12, 5] from Operation: 55/11=5 Current State: 77:[84, 12, 5], Operations: ['55/11=5'] Exploring Operation: 84-12=72, Resulting Numbers: [5, 72] Generated Node #3: [5, 72] from Operation: 84-12=72 Current State: 77:[5, 72], Operations: ['55/11=5', '84-12=72'] Exploring Operation: 5+72=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 16, 22, 79, 18 ]
77
[ "79-16=63", "22*63=1386", "1386/18=77" ]
Current State: 77:[16, 22, 79, 18], Operations: [] Exploring Operation: 79-16=63, Resulting Numbers: [22, 18, 63] Generated Node #2: [22, 18, 63] from Operation: 79-16=63 Current State: 77:[22, 18, 63], Operations: ['79-16=63'] Exploring Operation: 22*63=1386, Resulting Numbers: [18, 1386] Generated Node #3: [18, 1386] from Operation: 22*63=1386 Current State: 77:[18, 1386], Operations: ['79-16=63', '22*63=1386'] Exploring Operation: 1386/18=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 84, 80, 29, 36 ]
68
[ "36-29=7", "84/7=12", "80-12=68" ]
Current State: 68:[84, 80, 29, 36], Operations: [] Exploring Operation: 36-29=7, Resulting Numbers: [84, 80, 7] Generated Node #2: [84, 80, 7] from Operation: 36-29=7 Current State: 68:[84, 80, 7], Operations: ['36-29=7'] Exploring Operation: 84/7=12, Resulting Numbers: [80, 12] Generated Node #3: [80, 12] from Operation: 84/7=12 Current State: 68:[80, 12], Operations: ['36-29=7', '84/7=12'] Exploring Operation: 80-12=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 70, 59, 51, 34 ]
86
[ "70+59=129", "34*129=4386", "4386/51=86" ]
Current State: 86:[70, 59, 51, 34], Operations: [] Exploring Operation: 70+59=129, Resulting Numbers: [51, 34, 129] Generated Node #2: [51, 34, 129] from Operation: 70+59=129 Current State: 86:[51, 34, 129], Operations: ['70+59=129'] Exploring Operation: 34*129=4386, Resulting Numbers: [51, 4386] Generated Node #3: [51, 4386] from Operation: 34*129=4386 Current State: 86:[51, 4386], Operations: ['70+59=129', '34*129=4386'] Exploring Operation: 4386/51=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 1, 23, 47, 10 ]
33
[ "1+23=24", "47+10=57", "57-24=33" ]
Current State: 33:[1, 23, 47, 10], Operations: [] Exploring Operation: 1+23=24, Resulting Numbers: [47, 10, 24] Generated Node #2: [47, 10, 24] from Operation: 1+23=24 Current State: 33:[47, 10, 24], Operations: ['1+23=24'] Exploring Operation: 47+10=57, Resulting Numbers: [24, 57] Generated Node #3: [24, 57] from Operation: 47+10=57 Current State: 33:[24, 57], Operations: ['1+23=24', '47+10=57'] Exploring Operation: 57-24=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 77, 1, 1, 56 ]
20
[ "77*1=77", "1+56=57", "77-57=20" ]
Current State: 20:[77, 1, 1, 56], Operations: [] Exploring Operation: 77*1=77, Resulting Numbers: [56, 77] Generated Node #2: [56, 77] from Operation: 77*1=77 Current State: 20:[56, 77], Operations: ['77*1=77'] Exploring Operation: 1+56=57, Resulting Numbers: [77, 57] Generated Node #3: [77, 57] from Operation: 1+56=57 Current State: 20:[77, 57], Operations: ['77*1=77', '1+56=57'] Exploring Operation: 77-57=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 99, 4, 44, 87 ]
36
[ "99-4=95", "44+87=131", "131-95=36" ]
Current State: 36:[99, 4, 44, 87], Operations: [] Exploring Operation: 99-4=95, Resulting Numbers: [44, 87, 95] Generated Node #2: [44, 87, 95] from Operation: 99-4=95 Current State: 36:[44, 87, 95], Operations: ['99-4=95'] Exploring Operation: 44+87=131, Resulting Numbers: [95, 131] Generated Node #3: [95, 131] from Operation: 44+87=131 Current State: 36:[95, 131], Operations: ['99-4=95', '44+87=131'] Exploring Operation: 131-95=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 66, 23, 13, 40 ]
16
[ "66-23=43", "40-13=27", "43-27=16" ]
Current State: 16:[66, 23, 13, 40], Operations: [] Exploring Operation: 66-23=43, Resulting Numbers: [13, 40, 43] Generated Node #2: [13, 40, 43] from Operation: 66-23=43 Current State: 16:[13, 40, 43], Operations: ['66-23=43'] Exploring Operation: 40-13=27, Resulting Numbers: [43, 27] Generated Node #3: [43, 27] from Operation: 40-13=27 Current State: 16:[43, 27], Operations: ['66-23=43', '40-13=27'] Exploring Operation: 43-27=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 44, 11, 11, 95 ]
29
[ "44+11=55", "95-11=84", "84-55=29" ]
Current State: 29:[44, 11, 11, 95], Operations: [] Exploring Operation: 44+11=55, Resulting Numbers: [95, 55] Generated Node #2: [95, 55] from Operation: 44+11=55 Current State: 29:[95, 55], Operations: ['44+11=55'] Exploring Operation: 95-11=84, Resulting Numbers: [55, 84] Generated Node #3: [55, 84] from Operation: 95-11=84 Current State: 29:[55, 84], Operations: ['44+11=55', '95-11=84'] Exploring Operation: 84-55=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 8, 13, 51, 46 ]
53
[ "51-46=5", "8*5=40", "13+40=53" ]
Current State: 53:[8, 13, 51, 46], Operations: [] Exploring Operation: 51-46=5, Resulting Numbers: [8, 13, 5] Generated Node #2: [8, 13, 5] from Operation: 51-46=5 Current State: 53:[8, 13, 5], Operations: ['51-46=5'] Exploring Operation: 8*5=40, Resulting Numbers: [13, 40] Generated Node #3: [13, 40] from Operation: 8*5=40 Current State: 53:[13, 40], Operations: ['51-46=5', '8*5=40'] Exploring Operation: 13+40=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 70, 24, 22, 98 ]
88
[ "70+24=94", "98-94=4", "22*4=88" ]
Current State: 88:[70, 24, 22, 98], Operations: [] Exploring Operation: 70+24=94, Resulting Numbers: [22, 98, 94] Generated Node #2: [22, 98, 94] from Operation: 70+24=94 Current State: 88:[22, 98, 94], Operations: ['70+24=94'] Exploring Operation: 98-94=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 98-94=4 Current State: 88:[22, 4], Operations: ['70+24=94', '98-94=4'] Exploring Operation: 22*4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 93, 6, 44, 8 ]
60
[ "6*44=264", "264/8=33", "93-33=60" ]
Current State: 60:[93, 6, 44, 8], Operations: [] Exploring Operation: 6*44=264, Resulting Numbers: [93, 8, 264] Generated Node #2: [93, 8, 264] from Operation: 6*44=264 Current State: 60:[93, 8, 264], Operations: ['6*44=264'] Exploring Operation: 264/8=33, Resulting Numbers: [93, 33] Generated Node #3: [93, 33] from Operation: 264/8=33 Current State: 60:[93, 33], Operations: ['6*44=264', '264/8=33'] Exploring Operation: 93-33=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 11, 46, 17, 26 ]
53
[ "26-17=9", "11*9=99", "99-46=53" ]
Current State: 53:[11, 46, 17, 26], Operations: [] Exploring Operation: 26-17=9, Resulting Numbers: [11, 46, 9] Generated Node #2: [11, 46, 9] from Operation: 26-17=9 Current State: 53:[11, 46, 9], Operations: ['26-17=9'] Exploring Operation: 11*9=99, Resulting Numbers: [46, 99] Generated Node #3: [46, 99] from Operation: 11*9=99 Current State: 53:[46, 99], Operations: ['26-17=9', '11*9=99'] Exploring Operation: 99-46=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 5, 85, 31, 2 ]
44
[ "5*2=10", "85-31=54", "54-10=44" ]
Current State: 44:[5, 85, 31, 2], Operations: [] Exploring Operation: 5*2=10, Resulting Numbers: [85, 31, 10] Generated Node #2: [85, 31, 10] from Operation: 5*2=10 Current State: 44:[85, 31, 10], Operations: ['5*2=10'] Exploring Operation: 85-31=54, Resulting Numbers: [10, 54] Generated Node #3: [10, 54] from Operation: 85-31=54 Current State: 44:[10, 54], Operations: ['5*2=10', '85-31=54'] Exploring Operation: 54-10=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 72, 3, 57, 16 ]
33
[ "72-57=15", "3*16=48", "48-15=33" ]
Current State: 33:[72, 3, 57, 16], Operations: [] Exploring Operation: 72-57=15, Resulting Numbers: [3, 16, 15] Generated Node #2: [3, 16, 15] from Operation: 72-57=15 Current State: 33:[3, 16, 15], Operations: ['72-57=15'] Exploring Operation: 3*16=48, Resulting Numbers: [15, 48] Generated Node #3: [15, 48] from Operation: 3*16=48 Current State: 33:[15, 48], Operations: ['72-57=15', '3*16=48'] Exploring Operation: 48-15=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 85, 58, 67, 30 ]
64
[ "85-58=27", "67-30=37", "27+37=64" ]
Current State: 64:[85, 58, 67, 30], Operations: [] Exploring Operation: 85-58=27, Resulting Numbers: [67, 30, 27] Generated Node #2: [67, 30, 27] from Operation: 85-58=27 Current State: 64:[67, 30, 27], Operations: ['85-58=27'] Exploring Operation: 67-30=37, Resulting Numbers: [27, 37] Generated Node #3: [27, 37] from Operation: 67-30=37 Current State: 64:[27, 37], Operations: ['85-58=27', '67-30=37'] Exploring Operation: 27+37=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 62, 11, 60, 72 ]
74
[ "60+72=132", "132/11=12", "62+12=74" ]
Current State: 74:[62, 11, 60, 72], Operations: [] Exploring Operation: 60+72=132, Resulting Numbers: [62, 11, 132] Generated Node #2: [62, 11, 132] from Operation: 60+72=132 Current State: 74:[62, 11, 132], Operations: ['60+72=132'] Exploring Operation: 132/11=12, Resulting Numbers: [62, 12] Generated Node #3: [62, 12] from Operation: 132/11=12 Current State: 74:[62, 12], Operations: ['60+72=132', '132/11=12'] Exploring Operation: 62+12=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 40, 41, 23, 71 ]
95
[ "41-40=1", "23+71=94", "1+94=95" ]
Current State: 95:[40, 41, 23, 71], Operations: [] Exploring Operation: 41-40=1, Resulting Numbers: [23, 71, 1] Generated Node #2: [23, 71, 1] from Operation: 41-40=1 Current State: 95:[23, 71, 1], Operations: ['41-40=1'] Exploring Operation: 23+71=94, Resulting Numbers: [1, 94] Generated Node #3: [1, 94] from Operation: 23+71=94 Current State: 95:[1, 94], Operations: ['41-40=1', '23+71=94'] Exploring Operation: 1+94=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 75, 83, 9, 71 ]
25
[ "83-9=74", "74-71=3", "75/3=25" ]
Current State: 25:[75, 83, 9, 71], Operations: [] Exploring Operation: 83-9=74, Resulting Numbers: [75, 71, 74] Generated Node #2: [75, 71, 74] from Operation: 83-9=74 Current State: 25:[75, 71, 74], Operations: ['83-9=74'] Exploring Operation: 74-71=3, Resulting Numbers: [75, 3] Generated Node #3: [75, 3] from Operation: 74-71=3 Current State: 25:[75, 3], Operations: ['83-9=74', '74-71=3'] Exploring Operation: 75/3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 58, 12, 34, 68 ]
36
[ "58+12=70", "68-34=34", "70-34=36" ]
Current State: 36:[58, 12, 34, 68], Operations: [] Exploring Operation: 58+12=70, Resulting Numbers: [34, 68, 70] Generated Node #2: [34, 68, 70] from Operation: 58+12=70 Current State: 36:[34, 68, 70], Operations: ['58+12=70'] Exploring Operation: 68-34=34, Resulting Numbers: [70, 34] Generated Node #3: [70, 34] from Operation: 68-34=34 Current State: 36:[70, 34], Operations: ['58+12=70', '68-34=34'] Exploring Operation: 70-34=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 6, 43, 99, 19 ]
69
[ "6+43=49", "99+19=118", "118-49=69" ]
Current State: 69:[6, 43, 99, 19], Operations: [] Exploring Operation: 6+43=49, Resulting Numbers: [99, 19, 49] Generated Node #2: [99, 19, 49] from Operation: 6+43=49 Current State: 69:[99, 19, 49], Operations: ['6+43=49'] Exploring Operation: 99+19=118, Resulting Numbers: [49, 118] Generated Node #3: [49, 118] from Operation: 99+19=118 Current State: 69:[49, 118], Operations: ['6+43=49', '99+19=118'] Exploring Operation: 118-49=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 65, 69, 6, 95 ]
71
[ "69-65=4", "6*4=24", "95-24=71" ]
Current State: 71:[65, 69, 6, 95], Operations: [] Exploring Operation: 69-65=4, Resulting Numbers: [6, 95, 4] Generated Node #2: [6, 95, 4] from Operation: 69-65=4 Current State: 71:[6, 95, 4], Operations: ['69-65=4'] Exploring Operation: 6*4=24, Resulting Numbers: [95, 24] Generated Node #3: [95, 24] from Operation: 6*4=24 Current State: 71:[95, 24], Operations: ['69-65=4', '6*4=24'] Exploring Operation: 95-24=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 38, 3, 63, 59 ]
70
[ "59-38=21", "21/3=7", "63+7=70" ]
Current State: 70:[38, 3, 63, 59], Operations: [] Exploring Operation: 59-38=21, Resulting Numbers: [3, 63, 21] Generated Node #2: [3, 63, 21] from Operation: 59-38=21 Current State: 70:[3, 63, 21], Operations: ['59-38=21'] Exploring Operation: 21/3=7, Resulting Numbers: [63, 7] Generated Node #3: [63, 7] from Operation: 21/3=7 Current State: 70:[63, 7], Operations: ['59-38=21', '21/3=7'] Exploring Operation: 63+7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 87, 84, 89, 19 ]
36
[ "87-84=3", "89+19=108", "108/3=36" ]
Current State: 36:[87, 84, 89, 19], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [89, 19, 3] Generated Node #2: [89, 19, 3] from Operation: 87-84=3 Current State: 36:[89, 19, 3], Operations: ['87-84=3'] Exploring Operation: 89+19=108, Resulting Numbers: [3, 108] Generated Node #3: [3, 108] from Operation: 89+19=108 Current State: 36:[3, 108], Operations: ['87-84=3', '89+19=108'] Exploring Operation: 108/3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 10, 67, 73, 5 ]
61
[ "10*67=670", "670/5=134", "134-73=61" ]
Current State: 61:[10, 67, 73, 5], Operations: [] Exploring Operation: 10*67=670, Resulting Numbers: [73, 5, 670] Generated Node #2: [73, 5, 670] from Operation: 10*67=670 Current State: 61:[73, 5, 670], Operations: ['10*67=670'] Exploring Operation: 670/5=134, Resulting Numbers: [73, 134] Generated Node #3: [73, 134] from Operation: 670/5=134 Current State: 61:[73, 134], Operations: ['10*67=670', '670/5=134'] Exploring Operation: 134-73=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 52, 2, 93, 61 ]
81
[ "93-52=41", "2*61=122", "122-41=81" ]
Current State: 81:[52, 2, 93, 61], Operations: [] Exploring Operation: 93-52=41, Resulting Numbers: [2, 61, 41] Generated Node #2: [2, 61, 41] from Operation: 93-52=41 Current State: 81:[2, 61, 41], Operations: ['93-52=41'] Exploring Operation: 2*61=122, Resulting Numbers: [41, 122] Generated Node #3: [41, 122] from Operation: 2*61=122 Current State: 81:[41, 122], Operations: ['93-52=41', '2*61=122'] Exploring Operation: 122-41=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 5, 47, 46, 2 ]
37
[ "47-2=45", "45/5=9", "46-9=37" ]
Current State: 37:[5, 47, 46, 2], Operations: [] Exploring Operation: 47-2=45, Resulting Numbers: [5, 46, 45] Generated Node #2: [5, 46, 45] from Operation: 47-2=45 Current State: 37:[5, 46, 45], Operations: ['47-2=45'] Exploring Operation: 45/5=9, Resulting Numbers: [46, 9] Generated Node #3: [46, 9] from Operation: 45/5=9 Current State: 37:[46, 9], Operations: ['47-2=45', '45/5=9'] Exploring Operation: 46-9=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 16, 1, 76, 50 ]
41
[ "16-1=15", "76-50=26", "15+26=41" ]
Current State: 41:[16, 1, 76, 50], Operations: [] Exploring Operation: 16-1=15, Resulting Numbers: [76, 50, 15] Generated Node #2: [76, 50, 15] from Operation: 16-1=15 Current State: 41:[76, 50, 15], Operations: ['16-1=15'] Exploring Operation: 76-50=26, Resulting Numbers: [15, 26] Generated Node #3: [15, 26] from Operation: 76-50=26 Current State: 41:[15, 26], Operations: ['16-1=15', '76-50=26'] Exploring Operation: 15+26=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 89, 93, 8, 2 ]
16
[ "93-89=4", "8/2=4", "4*4=16" ]
Current State: 16:[89, 93, 8, 2], Operations: [] Exploring Operation: 93-89=4, Resulting Numbers: [8, 2, 4] Generated Node #2: [8, 2, 4] from Operation: 93-89=4 Current State: 16:[8, 2, 4], Operations: ['93-89=4'] Exploring Operation: 8/2=4, Resulting Numbers: [4, 4] Generated Node #3: [4, 4] from Operation: 8/2=4 Current State: 16:[4, 4], Operations: ['93-89=4', '8/2=4'] Exploring Operation: 4*4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 79, 12, 76, 16 ]
36
[ "79-76=3", "16*3=48", "48-12=36" ]
Current State: 36:[79, 12, 76, 16], Operations: [] Exploring Operation: 79-76=3, Resulting Numbers: [12, 16, 3] Generated Node #2: [12, 16, 3] from Operation: 79-76=3 Current State: 36:[12, 16, 3], Operations: ['79-76=3'] Exploring Operation: 16*3=48, Resulting Numbers: [12, 48] Generated Node #3: [12, 48] from Operation: 16*3=48 Current State: 36:[12, 48], Operations: ['79-76=3', '16*3=48'] Exploring Operation: 48-12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 4, 68, 27, 69 ]
41
[ "68+27=95", "69+95=164", "164/4=41" ]
Current State: 41:[4, 68, 27, 69], Operations: [] Exploring Operation: 68+27=95, Resulting Numbers: [4, 69, 95] Generated Node #2: [4, 69, 95] from Operation: 68+27=95 Current State: 41:[4, 69, 95], Operations: ['68+27=95'] Exploring Operation: 69+95=164, Resulting Numbers: [4, 164] Generated Node #3: [4, 164] from Operation: 69+95=164 Current State: 41:[4, 164], Operations: ['68+27=95', '69+95=164'] Exploring Operation: 164/4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 18, 86, 30, 32 ]
10
[ "18*30=540", "86-32=54", "540/54=10" ]
Current State: 10:[18, 86, 30, 32], Operations: [] Exploring Operation: 18*30=540, Resulting Numbers: [86, 32, 540] Generated Node #2: [86, 32, 540] from Operation: 18*30=540 Current State: 10:[86, 32, 540], Operations: ['18*30=540'] Exploring Operation: 86-32=54, Resulting Numbers: [540, 54] Generated Node #3: [540, 54] from Operation: 86-32=54 Current State: 10:[540, 54], Operations: ['18*30=540', '86-32=54'] Exploring Operation: 540/54=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 55, 87, 67, 37 ]
38
[ "55+87=142", "67+37=104", "142-104=38" ]
Current State: 38:[55, 87, 67, 37], Operations: [] Exploring Operation: 55+87=142, Resulting Numbers: [67, 37, 142] Generated Node #2: [67, 37, 142] from Operation: 55+87=142 Current State: 38:[67, 37, 142], Operations: ['55+87=142'] Exploring Operation: 67+37=104, Resulting Numbers: [142, 104] Generated Node #3: [142, 104] from Operation: 67+37=104 Current State: 38:[142, 104], Operations: ['55+87=142', '67+37=104'] Exploring Operation: 142-104=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 37, 85, 35, 60 ]
61
[ "37*60=2220", "2220-85=2135", "2135/35=61" ]
Current State: 61:[37, 85, 35, 60], Operations: [] Exploring Operation: 37*60=2220, Resulting Numbers: [85, 35, 2220] Generated Node #2: [85, 35, 2220] from Operation: 37*60=2220 Current State: 61:[85, 35, 2220], Operations: ['37*60=2220'] Exploring Operation: 2220-85=2135, Resulting Numbers: [35, 2135] Generated Node #3: [35, 2135] from Operation: 2220-85=2135 Current State: 61:[35, 2135], Operations: ['37*60=2220', '2220-85=2135'] Exploring Operation: 2135/35=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 26, 1, 23, 23 ]
20
[ "26*1=26", "23+23=46", "46-26=20" ]
Current State: 20:[26, 1, 23, 23], Operations: [] Exploring Operation: 26*1=26, Resulting Numbers: [23, 23, 26] Generated Node #2: [23, 23, 26] from Operation: 26*1=26 Current State: 20:[23, 23, 26], Operations: ['26*1=26'] Exploring Operation: 23+23=46, Resulting Numbers: [26, 46] Generated Node #3: [26, 46] from Operation: 23+23=46 Current State: 20:[26, 46], Operations: ['26*1=26', '23+23=46'] Exploring Operation: 46-26=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 26, 90, 10, 77 ]
20
[ "26*10=260", "90-77=13", "260/13=20" ]
Current State: 20:[26, 90, 10, 77], Operations: [] Exploring Operation: 26*10=260, Resulting Numbers: [90, 77, 260] Generated Node #2: [90, 77, 260] from Operation: 26*10=260 Current State: 20:[90, 77, 260], Operations: ['26*10=260'] Exploring Operation: 90-77=13, Resulting Numbers: [260, 13] Generated Node #3: [260, 13] from Operation: 90-77=13 Current State: 20:[260, 13], Operations: ['26*10=260', '90-77=13'] Exploring Operation: 260/13=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 62, 46, 31, 64 ]
49
[ "62-46=16", "64-31=33", "16+33=49" ]
Current State: 49:[62, 46, 31, 64], Operations: [] Exploring Operation: 62-46=16, Resulting Numbers: [31, 64, 16] Generated Node #2: [31, 64, 16] from Operation: 62-46=16 Current State: 49:[31, 64, 16], Operations: ['62-46=16'] Exploring Operation: 64-31=33, Resulting Numbers: [16, 33] Generated Node #3: [16, 33] from Operation: 64-31=33 Current State: 49:[16, 33], Operations: ['62-46=16', '64-31=33'] Exploring Operation: 16+33=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 61, 22, 64, 62 ]
78
[ "61-22=39", "64-62=2", "39*2=78" ]
Current State: 78:[61, 22, 64, 62], Operations: [] Exploring Operation: 61-22=39, Resulting Numbers: [64, 62, 39] Generated Node #2: [64, 62, 39] from Operation: 61-22=39 Current State: 78:[64, 62, 39], Operations: ['61-22=39'] Exploring Operation: 64-62=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 64-62=2 Current State: 78:[39, 2], Operations: ['61-22=39', '64-62=2'] Exploring Operation: 39*2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 11, 49, 35, 74 ]
77
[ "49-11=38", "74-35=39", "38+39=77" ]
Current State: 77:[11, 49, 35, 74], Operations: [] Exploring Operation: 49-11=38, Resulting Numbers: [35, 74, 38] Generated Node #2: [35, 74, 38] from Operation: 49-11=38 Current State: 77:[35, 74, 38], Operations: ['49-11=38'] Exploring Operation: 74-35=39, Resulting Numbers: [38, 39] Generated Node #3: [38, 39] from Operation: 74-35=39 Current State: 77:[38, 39], Operations: ['49-11=38', '74-35=39'] Exploring Operation: 38+39=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 43, 4, 8, 2 ]
63
[ "43+4=47", "8*2=16", "47+16=63" ]
Current State: 63:[43, 4, 8, 2], Operations: [] Exploring Operation: 43+4=47, Resulting Numbers: [8, 2, 47] Generated Node #2: [8, 2, 47] from Operation: 43+4=47 Current State: 63:[8, 2, 47], Operations: ['43+4=47'] Exploring Operation: 8*2=16, Resulting Numbers: [47, 16] Generated Node #3: [47, 16] from Operation: 8*2=16 Current State: 63:[47, 16], Operations: ['43+4=47', '8*2=16'] Exploring Operation: 47+16=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 87, 40, 42, 18 ]
71
[ "87-40=47", "42-18=24", "47+24=71" ]
Current State: 71:[87, 40, 42, 18], Operations: [] Exploring Operation: 87-40=47, Resulting Numbers: [42, 18, 47] Generated Node #2: [42, 18, 47] from Operation: 87-40=47 Current State: 71:[42, 18, 47], Operations: ['87-40=47'] Exploring Operation: 42-18=24, Resulting Numbers: [47, 24] Generated Node #3: [47, 24] from Operation: 42-18=24 Current State: 71:[47, 24], Operations: ['87-40=47', '42-18=24'] Exploring Operation: 47+24=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 22, 44, 67, 48 ]
29
[ "44/22=2", "48*2=96", "96-67=29" ]
Current State: 29:[22, 44, 67, 48], Operations: [] Exploring Operation: 44/22=2, Resulting Numbers: [67, 48, 2] Generated Node #2: [67, 48, 2] from Operation: 44/22=2 Current State: 29:[67, 48, 2], Operations: ['44/22=2'] Exploring Operation: 48*2=96, Resulting Numbers: [67, 96] Generated Node #3: [67, 96] from Operation: 48*2=96 Current State: 29:[67, 96], Operations: ['44/22=2', '48*2=96'] Exploring Operation: 96-67=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 19, 2, 5, 68 ]
88
[ "19+5=24", "68-24=44", "2*44=88" ]
Current State: 88:[19, 2, 5, 68], Operations: [] Exploring Operation: 19+5=24, Resulting Numbers: [2, 68, 24] Generated Node #2: [2, 68, 24] from Operation: 19+5=24 Current State: 88:[2, 68, 24], Operations: ['19+5=24'] Exploring Operation: 68-24=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 68-24=44 Current State: 88:[2, 44], Operations: ['19+5=24', '68-24=44'] Exploring Operation: 2*44=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 15, 36, 1, 59 ]
37
[ "36-15=21", "59-1=58", "58-21=37" ]
Current State: 37:[15, 36, 1, 59], Operations: [] Exploring Operation: 36-15=21, Resulting Numbers: [1, 59, 21] Generated Node #2: [1, 59, 21] from Operation: 36-15=21 Current State: 37:[1, 59, 21], Operations: ['36-15=21'] Exploring Operation: 59-1=58, Resulting Numbers: [21, 58] Generated Node #3: [21, 58] from Operation: 59-1=58 Current State: 37:[21, 58], Operations: ['36-15=21', '59-1=58'] Exploring Operation: 58-21=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 37, 39, 58, 23 ]
70
[ "39-37=2", "58-23=35", "2*35=70" ]
Current State: 70:[37, 39, 58, 23], Operations: [] Exploring Operation: 39-37=2, Resulting Numbers: [58, 23, 2] Generated Node #2: [58, 23, 2] from Operation: 39-37=2 Current State: 70:[58, 23, 2], Operations: ['39-37=2'] Exploring Operation: 58-23=35, Resulting Numbers: [2, 35] Generated Node #3: [2, 35] from Operation: 58-23=35 Current State: 70:[2, 35], Operations: ['39-37=2', '58-23=35'] Exploring Operation: 2*35=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 37, 30, 30, 43 ]
43
[ "30-30=0", "37*0=0", "43+0=43" ]
Current State: 43:[37, 30, 30, 43], Operations: [] Exploring Operation: 30-30=0, Resulting Numbers: [37, 43, 0] Generated Node #2: [37, 43, 0] from Operation: 30-30=0 Current State: 43:[37, 43, 0], Operations: ['30-30=0'] Exploring Operation: 37*0=0, Resulting Numbers: [43, 0] Generated Node #3: [43, 0] from Operation: 37*0=0 Current State: 43:[43, 0], Operations: ['30-30=0', '37*0=0'] Exploring Operation: 43+0=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 88, 91, 89, 53 ]
33
[ "91-88=3", "89-53=36", "36-3=33" ]
Current State: 33:[88, 91, 89, 53], Operations: [] Exploring Operation: 91-88=3, Resulting Numbers: [89, 53, 3] Generated Node #2: [89, 53, 3] from Operation: 91-88=3 Current State: 33:[89, 53, 3], Operations: ['91-88=3'] Exploring Operation: 89-53=36, Resulting Numbers: [3, 36] Generated Node #3: [3, 36] from Operation: 89-53=36 Current State: 33:[3, 36], Operations: ['91-88=3', '89-53=36'] Exploring Operation: 36-3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 75, 58, 71, 12 ]
42
[ "75-58=17", "71-12=59", "59-17=42" ]
Current State: 42:[75, 58, 71, 12], Operations: [] Exploring Operation: 75-58=17, Resulting Numbers: [71, 12, 17] Generated Node #2: [71, 12, 17] from Operation: 75-58=17 Current State: 42:[71, 12, 17], Operations: ['75-58=17'] Exploring Operation: 71-12=59, Resulting Numbers: [17, 59] Generated Node #3: [17, 59] from Operation: 71-12=59 Current State: 42:[17, 59], Operations: ['75-58=17', '71-12=59'] Exploring Operation: 59-17=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 49, 57, 40, 14 ]
80
[ "49+57=106", "40-14=26", "106-26=80" ]
Current State: 80:[49, 57, 40, 14], Operations: [] Exploring Operation: 49+57=106, Resulting Numbers: [40, 14, 106] Generated Node #2: [40, 14, 106] from Operation: 49+57=106 Current State: 80:[40, 14, 106], Operations: ['49+57=106'] Exploring Operation: 40-14=26, Resulting Numbers: [106, 26] Generated Node #3: [106, 26] from Operation: 40-14=26 Current State: 80:[106, 26], Operations: ['49+57=106', '40-14=26'] Exploring Operation: 106-26=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 50, 69, 8, 75 ]
68
[ "69+75=144", "144/8=18", "50+18=68" ]
Current State: 68:[50, 69, 8, 75], Operations: [] Exploring Operation: 69+75=144, Resulting Numbers: [50, 8, 144] Generated Node #2: [50, 8, 144] from Operation: 69+75=144 Current State: 68:[50, 8, 144], Operations: ['69+75=144'] Exploring Operation: 144/8=18, Resulting Numbers: [50, 18] Generated Node #3: [50, 18] from Operation: 144/8=18 Current State: 68:[50, 18], Operations: ['69+75=144', '144/8=18'] Exploring Operation: 50+18=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 21, 18, 5, 56 ]
41
[ "21-18=3", "5*3=15", "56-15=41" ]
Current State: 41:[21, 18, 5, 56], Operations: [] Exploring Operation: 21-18=3, Resulting Numbers: [5, 56, 3] Generated Node #2: [5, 56, 3] from Operation: 21-18=3 Current State: 41:[5, 56, 3], Operations: ['21-18=3'] Exploring Operation: 5*3=15, Resulting Numbers: [56, 15] Generated Node #3: [56, 15] from Operation: 5*3=15 Current State: 41:[56, 15], Operations: ['21-18=3', '5*3=15'] Exploring Operation: 56-15=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 99, 26, 84, 24 ]
30
[ "99-84=15", "26-24=2", "15*2=30" ]
Current State: 30:[99, 26, 84, 24], Operations: [] Exploring Operation: 99-84=15, Resulting Numbers: [26, 24, 15] Generated Node #2: [26, 24, 15] from Operation: 99-84=15 Current State: 30:[26, 24, 15], Operations: ['99-84=15'] Exploring Operation: 26-24=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 26-24=2 Current State: 30:[15, 2], Operations: ['99-84=15', '26-24=2'] Exploring Operation: 15*2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 2, 72, 4, 18 ]
69
[ "2+4=6", "18/6=3", "72-3=69" ]
Current State: 69:[2, 72, 4, 18], Operations: [] Exploring Operation: 2+4=6, Resulting Numbers: [72, 18, 6] Generated Node #2: [72, 18, 6] from Operation: 2+4=6 Current State: 69:[72, 18, 6], Operations: ['2+4=6'] Exploring Operation: 18/6=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 18/6=3 Current State: 69:[72, 3], Operations: ['2+4=6', '18/6=3'] Exploring Operation: 72-3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 8, 62, 46, 49 ]
73
[ "8+62=70", "49-46=3", "70+3=73" ]
Current State: 73:[8, 62, 46, 49], Operations: [] Exploring Operation: 8+62=70, Resulting Numbers: [46, 49, 70] Generated Node #2: [46, 49, 70] from Operation: 8+62=70 Current State: 73:[46, 49, 70], Operations: ['8+62=70'] Exploring Operation: 49-46=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 49-46=3 Current State: 73:[70, 3], Operations: ['8+62=70', '49-46=3'] Exploring Operation: 70+3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 39, 28, 97, 2 ]
72
[ "97-39=58", "28/2=14", "58+14=72" ]
Current State: 72:[39, 28, 97, 2], Operations: [] Exploring Operation: 97-39=58, Resulting Numbers: [28, 2, 58] Generated Node #2: [28, 2, 58] from Operation: 97-39=58 Current State: 72:[28, 2, 58], Operations: ['97-39=58'] Exploring Operation: 28/2=14, Resulting Numbers: [58, 14] Generated Node #3: [58, 14] from Operation: 28/2=14 Current State: 72:[58, 14], Operations: ['97-39=58', '28/2=14'] Exploring Operation: 58+14=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 37, 7, 60, 11 ]
93
[ "37+7=44", "60-11=49", "44+49=93" ]
Current State: 93:[37, 7, 60, 11], Operations: [] Exploring Operation: 37+7=44, Resulting Numbers: [60, 11, 44] Generated Node #2: [60, 11, 44] from Operation: 37+7=44 Current State: 93:[60, 11, 44], Operations: ['37+7=44'] Exploring Operation: 60-11=49, Resulting Numbers: [44, 49] Generated Node #3: [44, 49] from Operation: 60-11=49 Current State: 93:[44, 49], Operations: ['37+7=44', '60-11=49'] Exploring Operation: 44+49=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 14, 40, 11, 28 ]
18
[ "28/14=2", "11*2=22", "40-22=18" ]
Current State: 18:[14, 40, 11, 28], Operations: [] Exploring Operation: 28/14=2, Resulting Numbers: [40, 11, 2] Generated Node #2: [40, 11, 2] from Operation: 28/14=2 Current State: 18:[40, 11, 2], Operations: ['28/14=2'] Exploring Operation: 11*2=22, Resulting Numbers: [40, 22] Generated Node #3: [40, 22] from Operation: 11*2=22 Current State: 18:[40, 22], Operations: ['28/14=2', '11*2=22'] Exploring Operation: 40-22=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 14, 2, 9, 45 ]
47
[ "14/2=7", "9+45=54", "54-7=47" ]
Current State: 47:[14, 2, 9, 45], Operations: [] Exploring Operation: 14/2=7, Resulting Numbers: [9, 45, 7] Generated Node #2: [9, 45, 7] from Operation: 14/2=7 Current State: 47:[9, 45, 7], Operations: ['14/2=7'] Exploring Operation: 9+45=54, Resulting Numbers: [7, 54] Generated Node #3: [7, 54] from Operation: 9+45=54 Current State: 47:[7, 54], Operations: ['14/2=7', '9+45=54'] Exploring Operation: 54-7=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 92, 73, 55, 36 ]
33
[ "92+73=165", "165/55=3", "36-3=33" ]
Current State: 33:[92, 73, 55, 36], Operations: [] Exploring Operation: 92+73=165, Resulting Numbers: [55, 36, 165] Generated Node #2: [55, 36, 165] from Operation: 92+73=165 Current State: 33:[55, 36, 165], Operations: ['92+73=165'] Exploring Operation: 165/55=3, Resulting Numbers: [36, 3] Generated Node #3: [36, 3] from Operation: 165/55=3 Current State: 33:[36, 3], Operations: ['92+73=165', '165/55=3'] Exploring Operation: 36-3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 7, 89, 92, 41 ]
70
[ "92+41=133", "133/7=19", "89-19=70" ]
Current State: 70:[7, 89, 92, 41], Operations: [] Exploring Operation: 92+41=133, Resulting Numbers: [7, 89, 133] Generated Node #2: [7, 89, 133] from Operation: 92+41=133 Current State: 70:[7, 89, 133], Operations: ['92+41=133'] Exploring Operation: 133/7=19, Resulting Numbers: [89, 19] Generated Node #3: [89, 19] from Operation: 133/7=19 Current State: 70:[89, 19], Operations: ['92+41=133', '133/7=19'] Exploring Operation: 89-19=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 62, 28, 39, 77 ]
55
[ "39-28=11", "77/11=7", "62-7=55" ]
Current State: 55:[62, 28, 39, 77], Operations: [] Exploring Operation: 39-28=11, Resulting Numbers: [62, 77, 11] Generated Node #2: [62, 77, 11] from Operation: 39-28=11 Current State: 55:[62, 77, 11], Operations: ['39-28=11'] Exploring Operation: 77/11=7, Resulting Numbers: [62, 7] Generated Node #3: [62, 7] from Operation: 77/11=7 Current State: 55:[62, 7], Operations: ['39-28=11', '77/11=7'] Exploring Operation: 62-7=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 84, 24, 86, 19 ]
10
[ "86-84=2", "24-19=5", "2*5=10" ]
Current State: 10:[84, 24, 86, 19], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [24, 19, 2] Generated Node #2: [24, 19, 2] from Operation: 86-84=2 Current State: 10:[24, 19, 2], Operations: ['86-84=2'] Exploring Operation: 24-19=5, Resulting Numbers: [2, 5] Generated Node #3: [2, 5] from Operation: 24-19=5 Current State: 10:[2, 5], Operations: ['86-84=2', '24-19=5'] Exploring Operation: 2*5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 2, 38, 75, 70 ]
41
[ "38-2=36", "75-70=5", "36+5=41" ]
Current State: 41:[2, 38, 75, 70], Operations: [] Exploring Operation: 38-2=36, Resulting Numbers: [75, 70, 36] Generated Node #2: [75, 70, 36] from Operation: 38-2=36 Current State: 41:[75, 70, 36], Operations: ['38-2=36'] Exploring Operation: 75-70=5, Resulting Numbers: [36, 5] Generated Node #3: [36, 5] from Operation: 75-70=5 Current State: 41:[36, 5], Operations: ['38-2=36', '75-70=5'] Exploring Operation: 36+5=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 71, 36, 39, 18 ]
56
[ "71-36=35", "39-18=21", "35+21=56" ]
Current State: 56:[71, 36, 39, 18], Operations: [] Exploring Operation: 71-36=35, Resulting Numbers: [39, 18, 35] Generated Node #2: [39, 18, 35] from Operation: 71-36=35 Current State: 56:[39, 18, 35], Operations: ['71-36=35'] Exploring Operation: 39-18=21, Resulting Numbers: [35, 21] Generated Node #3: [35, 21] from Operation: 39-18=21 Current State: 56:[35, 21], Operations: ['71-36=35', '39-18=21'] Exploring Operation: 35+21=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 23, 46, 65, 74 ]
70
[ "23+46=69", "65+74=139", "139-69=70" ]
Current State: 70:[23, 46, 65, 74], Operations: [] Exploring Operation: 23+46=69, Resulting Numbers: [65, 74, 69] Generated Node #2: [65, 74, 69] from Operation: 23+46=69 Current State: 70:[65, 74, 69], Operations: ['23+46=69'] Exploring Operation: 65+74=139, Resulting Numbers: [69, 139] Generated Node #3: [69, 139] from Operation: 65+74=139 Current State: 70:[69, 139], Operations: ['23+46=69', '65+74=139'] Exploring Operation: 139-69=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 97, 1, 88, 98 ]
86
[ "97-1=96", "98-88=10", "96-10=86" ]
Current State: 86:[97, 1, 88, 98], Operations: [] Exploring Operation: 97-1=96, Resulting Numbers: [88, 98, 96] Generated Node #2: [88, 98, 96] from Operation: 97-1=96 Current State: 86:[88, 98, 96], Operations: ['97-1=96'] Exploring Operation: 98-88=10, Resulting Numbers: [96, 10] Generated Node #3: [96, 10] from Operation: 98-88=10 Current State: 86:[96, 10], Operations: ['97-1=96', '98-88=10'] Exploring Operation: 96-10=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 91, 14, 77, 4 ]
24
[ "91+14=105", "77+4=81", "105-81=24" ]
Current State: 24:[91, 14, 77, 4], Operations: [] Exploring Operation: 91+14=105, Resulting Numbers: [77, 4, 105] Generated Node #2: [77, 4, 105] from Operation: 91+14=105 Current State: 24:[77, 4, 105], Operations: ['91+14=105'] Exploring Operation: 77+4=81, Resulting Numbers: [105, 81] Generated Node #3: [105, 81] from Operation: 77+4=81 Current State: 24:[105, 81], Operations: ['91+14=105', '77+4=81'] Exploring Operation: 105-81=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 36, 52, 59, 68 ]
97
[ "36+52=88", "68-59=9", "88+9=97" ]
Current State: 97:[36, 52, 59, 68], Operations: [] Exploring Operation: 36+52=88, Resulting Numbers: [59, 68, 88] Generated Node #2: [59, 68, 88] from Operation: 36+52=88 Current State: 97:[59, 68, 88], Operations: ['36+52=88'] Exploring Operation: 68-59=9, Resulting Numbers: [88, 9] Generated Node #3: [88, 9] from Operation: 68-59=9 Current State: 97:[88, 9], Operations: ['36+52=88', '68-59=9'] Exploring Operation: 88+9=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 60, 24, 97, 49 ]
11
[ "60-49=11", "24+97=121", "121/11=11" ]
Current State: 11:[60, 24, 97, 49], Operations: [] Exploring Operation: 60-49=11, Resulting Numbers: [24, 97, 11] Generated Node #2: [24, 97, 11] from Operation: 60-49=11 Current State: 11:[24, 97, 11], Operations: ['60-49=11'] Exploring Operation: 24+97=121, Resulting Numbers: [11, 121] Generated Node #3: [11, 121] from Operation: 24+97=121 Current State: 11:[11, 121], Operations: ['60-49=11', '24+97=121'] Exploring Operation: 121/11=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 71, 79, 76, 30 ]
19
[ "79-76=3", "30*3=90", "90-71=19" ]
Current State: 19:[71, 79, 76, 30], Operations: [] Exploring Operation: 79-76=3, Resulting Numbers: [71, 30, 3] Generated Node #2: [71, 30, 3] from Operation: 79-76=3 Current State: 19:[71, 30, 3], Operations: ['79-76=3'] Exploring Operation: 30*3=90, Resulting Numbers: [71, 90] Generated Node #3: [71, 90] from Operation: 30*3=90 Current State: 19:[71, 90], Operations: ['79-76=3', '30*3=90'] Exploring Operation: 90-71=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 49, 31, 35, 65 ]
82
[ "49-31=18", "35+65=100", "100-18=82" ]
Current State: 82:[49, 31, 35, 65], Operations: [] Exploring Operation: 49-31=18, Resulting Numbers: [35, 65, 18] Generated Node #2: [35, 65, 18] from Operation: 49-31=18 Current State: 82:[35, 65, 18], Operations: ['49-31=18'] Exploring Operation: 35+65=100, Resulting Numbers: [18, 100] Generated Node #3: [18, 100] from Operation: 35+65=100 Current State: 82:[18, 100], Operations: ['49-31=18', '35+65=100'] Exploring Operation: 100-18=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 36, 35, 93, 30 ]
87
[ "35-30=5", "36*5=180", "180-93=87" ]
Current State: 87:[36, 35, 93, 30], Operations: [] Exploring Operation: 35-30=5, Resulting Numbers: [36, 93, 5] Generated Node #2: [36, 93, 5] from Operation: 35-30=5 Current State: 87:[36, 93, 5], Operations: ['35-30=5'] Exploring Operation: 36*5=180, Resulting Numbers: [93, 180] Generated Node #3: [93, 180] from Operation: 36*5=180 Current State: 87:[93, 180], Operations: ['35-30=5', '36*5=180'] Exploring Operation: 180-93=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 29, 3, 15, 59 ]
45
[ "29+15=44", "59-44=15", "3*15=45" ]
Current State: 45:[29, 3, 15, 59], Operations: [] Exploring Operation: 29+15=44, Resulting Numbers: [3, 59, 44] Generated Node #2: [3, 59, 44] from Operation: 29+15=44 Current State: 45:[3, 59, 44], Operations: ['29+15=44'] Exploring Operation: 59-44=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 59-44=15 Current State: 45:[3, 15], Operations: ['29+15=44', '59-44=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 56, 57, 5, 5 ]
56
[ "5-5=0", "57*0=0", "56+0=56" ]
Current State: 56:[56, 57, 5, 5], Operations: [] Exploring Operation: 5-5=0, Resulting Numbers: [56, 57, 0] Generated Node #2: [56, 57, 0] from Operation: 5-5=0 Current State: 56:[56, 57, 0], Operations: ['5-5=0'] Exploring Operation: 57*0=0, Resulting Numbers: [56, 0] Generated Node #3: [56, 0] from Operation: 57*0=0 Current State: 56:[56, 0], Operations: ['5-5=0', '57*0=0'] Exploring Operation: 56+0=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 18, 78, 84, 93 ]
81
[ "18+78=96", "84+93=177", "177-96=81" ]
Current State: 81:[18, 78, 84, 93], Operations: [] Exploring Operation: 18+78=96, Resulting Numbers: [84, 93, 96] Generated Node #2: [84, 93, 96] from Operation: 18+78=96 Current State: 81:[84, 93, 96], Operations: ['18+78=96'] Exploring Operation: 84+93=177, Resulting Numbers: [96, 177] Generated Node #3: [96, 177] from Operation: 84+93=177 Current State: 81:[96, 177], Operations: ['18+78=96', '84+93=177'] Exploring Operation: 177-96=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 63, 48, 6, 9 ]
18
[ "63-48=15", "9-6=3", "15+3=18" ]
Current State: 18:[63, 48, 6, 9], Operations: [] Exploring Operation: 63-48=15, Resulting Numbers: [6, 9, 15] Generated Node #2: [6, 9, 15] from Operation: 63-48=15 Current State: 18:[6, 9, 15], Operations: ['63-48=15'] Exploring Operation: 9-6=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 9-6=3 Current State: 18:[15, 3], Operations: ['63-48=15', '9-6=3'] Exploring Operation: 15+3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 85, 11, 99, 75 ]
72
[ "85+11=96", "99-75=24", "96-24=72" ]
Current State: 72:[85, 11, 99, 75], Operations: [] Exploring Operation: 85+11=96, Resulting Numbers: [99, 75, 96] Generated Node #2: [99, 75, 96] from Operation: 85+11=96 Current State: 72:[99, 75, 96], Operations: ['85+11=96'] Exploring Operation: 99-75=24, Resulting Numbers: [96, 24] Generated Node #3: [96, 24] from Operation: 99-75=24 Current State: 72:[96, 24], Operations: ['85+11=96', '99-75=24'] Exploring Operation: 96-24=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 31, 10, 90, 8 ]
57
[ "31+10=41", "90+8=98", "98-41=57" ]
Current State: 57:[31, 10, 90, 8], Operations: [] Exploring Operation: 31+10=41, Resulting Numbers: [90, 8, 41] Generated Node #2: [90, 8, 41] from Operation: 31+10=41 Current State: 57:[90, 8, 41], Operations: ['31+10=41'] Exploring Operation: 90+8=98, Resulting Numbers: [41, 98] Generated Node #3: [41, 98] from Operation: 90+8=98 Current State: 57:[41, 98], Operations: ['31+10=41', '90+8=98'] Exploring Operation: 98-41=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 14, 88, 20, 10 ]
37
[ "88-14=74", "20/10=2", "74/2=37" ]
Current State: 37:[14, 88, 20, 10], Operations: [] Exploring Operation: 88-14=74, Resulting Numbers: [20, 10, 74] Generated Node #2: [20, 10, 74] from Operation: 88-14=74 Current State: 37:[20, 10, 74], Operations: ['88-14=74'] Exploring Operation: 20/10=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 20/10=2 Current State: 37:[74, 2], Operations: ['88-14=74', '20/10=2'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 29, 76, 51, 53 ]
49
[ "76-29=47", "53-51=2", "47+2=49" ]
Current State: 49:[29, 76, 51, 53], Operations: [] Exploring Operation: 76-29=47, Resulting Numbers: [51, 53, 47] Generated Node #2: [51, 53, 47] from Operation: 76-29=47 Current State: 49:[51, 53, 47], Operations: ['76-29=47'] Exploring Operation: 53-51=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 53-51=2 Current State: 49:[47, 2], Operations: ['76-29=47', '53-51=2'] Exploring Operation: 47+2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 15, 75, 63, 15 ]
58
[ "15*63=945", "945-75=870", "870/15=58" ]
Current State: 58:[15, 75, 63, 15], Operations: [] Exploring Operation: 15*63=945, Resulting Numbers: [75, 945] Generated Node #2: [75, 945] from Operation: 15*63=945 Current State: 58:[75, 945], Operations: ['15*63=945'] Exploring Operation: 945-75=870, Resulting Numbers: [870] 870,58 equal: Goal Reached Exploring Operation: 870/15=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 82, 65, 78, 89 ]
96
[ "82-78=4", "89-65=24", "4*24=96" ]
Current State: 96:[82, 65, 78, 89], Operations: [] Exploring Operation: 82-78=4, Resulting Numbers: [65, 89, 4] Generated Node #2: [65, 89, 4] from Operation: 82-78=4 Current State: 96:[65, 89, 4], Operations: ['82-78=4'] Exploring Operation: 89-65=24, Resulting Numbers: [4, 24] Generated Node #3: [4, 24] from Operation: 89-65=24 Current State: 96:[4, 24], Operations: ['82-78=4', '89-65=24'] Exploring Operation: 4*24=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 74, 42, 52, 3 ]
56
[ "74+42=116", "52+116=168", "168/3=56" ]
Current State: 56:[74, 42, 52, 3], Operations: [] Exploring Operation: 74+42=116, Resulting Numbers: [52, 3, 116] Generated Node #2: [52, 3, 116] from Operation: 74+42=116 Current State: 56:[52, 3, 116], Operations: ['74+42=116'] Exploring Operation: 52+116=168, Resulting Numbers: [3, 168] Generated Node #3: [3, 168] from Operation: 52+116=168 Current State: 56:[3, 168], Operations: ['74+42=116', '52+116=168'] Exploring Operation: 168/3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 6, 45, 19, 21 ]
41
[ "45-6=39", "21-19=2", "39+2=41" ]
Current State: 41:[6, 45, 19, 21], Operations: [] Exploring Operation: 45-6=39, Resulting Numbers: [19, 21, 39] Generated Node #2: [19, 21, 39] from Operation: 45-6=39 Current State: 41:[19, 21, 39], Operations: ['45-6=39'] Exploring Operation: 21-19=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 21-19=2 Current State: 41:[39, 2], Operations: ['45-6=39', '21-19=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 55, 69, 39, 48 ]
52
[ "69+48=117", "117/39=3", "55-3=52" ]
Current State: 52:[55, 69, 39, 48], Operations: [] Exploring Operation: 69+48=117, Resulting Numbers: [55, 39, 117] Generated Node #2: [55, 39, 117] from Operation: 69+48=117 Current State: 52:[55, 39, 117], Operations: ['69+48=117'] Exploring Operation: 117/39=3, Resulting Numbers: [55, 3] Generated Node #3: [55, 3] from Operation: 117/39=3 Current State: 52:[55, 3], Operations: ['69+48=117', '117/39=3'] Exploring Operation: 55-3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 84, 16, 19, 15 ]
39
[ "19-16=3", "15*3=45", "84-45=39" ]
Current State: 39:[84, 16, 19, 15], Operations: [] Exploring Operation: 19-16=3, Resulting Numbers: [84, 15, 3] Generated Node #2: [84, 15, 3] from Operation: 19-16=3 Current State: 39:[84, 15, 3], Operations: ['19-16=3'] Exploring Operation: 15*3=45, Resulting Numbers: [84, 45] Generated Node #3: [84, 45] from Operation: 15*3=45 Current State: 39:[84, 45], Operations: ['19-16=3', '15*3=45'] Exploring Operation: 84-45=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 93, 72, 87, 47 ]
19
[ "93-72=21", "87-47=40", "40-21=19" ]
Current State: 19:[93, 72, 87, 47], Operations: [] Exploring Operation: 93-72=21, Resulting Numbers: [87, 47, 21] Generated Node #2: [87, 47, 21] from Operation: 93-72=21 Current State: 19:[87, 47, 21], Operations: ['93-72=21'] Exploring Operation: 87-47=40, Resulting Numbers: [21, 40] Generated Node #3: [21, 40] from Operation: 87-47=40 Current State: 19:[21, 40], Operations: ['93-72=21', '87-47=40'] Exploring Operation: 40-21=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 14, 65, 97, 75 ]
87
[ "65+75=140", "140/14=10", "97-10=87" ]
Current State: 87:[14, 65, 97, 75], Operations: [] Exploring Operation: 65+75=140, Resulting Numbers: [14, 97, 140] Generated Node #2: [14, 97, 140] from Operation: 65+75=140 Current State: 87:[14, 97, 140], Operations: ['65+75=140'] Exploring Operation: 140/14=10, Resulting Numbers: [97, 10] Generated Node #3: [97, 10] from Operation: 140/14=10 Current State: 87:[97, 10], Operations: ['65+75=140', '140/14=10'] Exploring Operation: 97-10=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 93, 53, 4, 47 ]
62
[ "93*4=372", "53-47=6", "372/6=62" ]
Current State: 62:[93, 53, 4, 47], Operations: [] Exploring Operation: 93*4=372, Resulting Numbers: [53, 47, 372] Generated Node #2: [53, 47, 372] from Operation: 93*4=372 Current State: 62:[53, 47, 372], Operations: ['93*4=372'] Exploring Operation: 53-47=6, Resulting Numbers: [372, 6] Generated Node #3: [372, 6] from Operation: 53-47=6 Current State: 62:[372, 6], Operations: ['93*4=372', '53-47=6'] Exploring Operation: 372/6=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 27, 5, 62, 78 ]
97
[ "62-27=35", "5*35=175", "175-78=97" ]
Current State: 97:[27, 5, 62, 78], Operations: [] Exploring Operation: 62-27=35, Resulting Numbers: [5, 78, 35] Generated Node #2: [5, 78, 35] from Operation: 62-27=35 Current State: 97:[5, 78, 35], Operations: ['62-27=35'] Exploring Operation: 5*35=175, Resulting Numbers: [78, 175] Generated Node #3: [78, 175] from Operation: 5*35=175 Current State: 97:[78, 175], Operations: ['62-27=35', '5*35=175'] Exploring Operation: 175-78=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 3, 42, 54, 64 ]
49
[ "42-3=39", "64-54=10", "39+10=49" ]
Current State: 49:[3, 42, 54, 64], Operations: [] Exploring Operation: 42-3=39, Resulting Numbers: [54, 64, 39] Generated Node #2: [54, 64, 39] from Operation: 42-3=39 Current State: 49:[54, 64, 39], Operations: ['42-3=39'] Exploring Operation: 64-54=10, Resulting Numbers: [39, 10] Generated Node #3: [39, 10] from Operation: 64-54=10 Current State: 49:[39, 10], Operations: ['42-3=39', '64-54=10'] Exploring Operation: 39+10=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 46, 39, 1, 8 ]
93
[ "46+39=85", "1*8=8", "85+8=93" ]
Current State: 93:[46, 39, 1, 8], Operations: [] Exploring Operation: 46+39=85, Resulting Numbers: [1, 8, 85] Generated Node #2: [1, 8, 85] from Operation: 46+39=85 Current State: 93:[1, 8, 85], Operations: ['46+39=85'] Exploring Operation: 1*8=8, Resulting Numbers: [85, 8] Generated Node #3: [85, 8] from Operation: 1*8=8 Current State: 93:[85, 8], Operations: ['46+39=85', '1*8=8'] Exploring Operation: 85+8=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 51, 99, 62, 91 ]
82
[ "62-51=11", "99/11=9", "91-9=82" ]
Current State: 82:[51, 99, 62, 91], Operations: [] Exploring Operation: 62-51=11, Resulting Numbers: [99, 91, 11] Generated Node #2: [99, 91, 11] from Operation: 62-51=11 Current State: 82:[99, 91, 11], Operations: ['62-51=11'] Exploring Operation: 99/11=9, Resulting Numbers: [91, 9] Generated Node #3: [91, 9] from Operation: 99/11=9 Current State: 82:[91, 9], Operations: ['62-51=11', '99/11=9'] Exploring Operation: 91-9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4