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
[ 22, 22, 41, 53 ]
13
[ "22/22=1", "53-41=12", "1+12=13" ]
Current State: 13:[22, 22, 41, 53], Operations: [] Exploring Operation: 22/22=1, Resulting Numbers: [41, 53, 1] Generated Node #2: [41, 53, 1] from Operation: 22/22=1 Current State: 13:[41, 53, 1], Operations: ['22/22=1'] Exploring Operation: 53-41=12, Resulting Numbers: [1, 12] Generated Node #3: [1, 12] from Operation: 53-41=12 Current State: 13:[1, 12], Operations: ['22/22=1', '53-41=12'] Exploring Operation: 1+12=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 40, 42, 24, 80 ]
58
[ "42-40=2", "80-24=56", "2+56=58" ]
Current State: 58:[40, 42, 24, 80], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [24, 80, 2] Generated Node #2: [24, 80, 2] from Operation: 42-40=2 Current State: 58:[24, 80, 2], Operations: ['42-40=2'] Exploring Operation: 80-24=56, Resulting Numbers: [2, 56] Generated Node #3: [2, 56] from Operation: 80-24=56 Current State: 58:[2, 56], Operations: ['42-40=2', '80-24=56'] Exploring Operation: 2+56=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 14, 1, 19, 11 ]
21
[ "14-1=13", "19-11=8", "13+8=21" ]
Current State: 21:[14, 1, 19, 11], Operations: [] Exploring Operation: 14-1=13, Resulting Numbers: [19, 11, 13] Generated Node #2: [19, 11, 13] from Operation: 14-1=13 Current State: 21:[19, 11, 13], Operations: ['14-1=13'] Exploring Operation: 19-11=8, Resulting Numbers: [13, 8] Generated Node #3: [13, 8] from Operation: 19-11=8 Current State: 21:[13, 8], Operations: ['14-1=13', '19-11=8'] Exploring Operation: 13+8=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 66, 60, 31, 99 ]
30
[ "66+31=97", "99-97=2", "60/2=30" ]
Current State: 30:[66, 60, 31, 99], Operations: [] Exploring Operation: 66+31=97, Resulting Numbers: [60, 99, 97] Generated Node #2: [60, 99, 97] from Operation: 66+31=97 Current State: 30:[60, 99, 97], Operations: ['66+31=97'] Exploring Operation: 99-97=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 99-97=2 Current State: 30:[60, 2], Operations: ['66+31=97', '99-97=2'] Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 98, 47, 43, 83 ]
93
[ "47*83=3901", "98+3901=3999", "3999/43=93" ]
Current State: 93:[98, 47, 43, 83], Operations: [] Exploring Operation: 47*83=3901, Resulting Numbers: [98, 43, 3901] Generated Node #2: [98, 43, 3901] from Operation: 47*83=3901 Current State: 93:[98, 43, 3901], Operations: ['47*83=3901'] Exploring Operation: 98+3901=3999, Resulting Numbers: [43, 3999] Generated Node #3: [43, 3999] from Operation: 98+3901=3999 Current State: 93:[43, 3999], Operations: ['47*83=3901', '98+3901=3999'] Exploring Operation: 3999/43=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 8, 54, 61, 85 ]
38
[ "8+54=62", "85-61=24", "62-24=38" ]
Current State: 38:[8, 54, 61, 85], Operations: [] Exploring Operation: 8+54=62, Resulting Numbers: [61, 85, 62] Generated Node #2: [61, 85, 62] from Operation: 8+54=62 Current State: 38:[61, 85, 62], Operations: ['8+54=62'] Exploring Operation: 85-61=24, Resulting Numbers: [62, 24] Generated Node #3: [62, 24] from Operation: 85-61=24 Current State: 38:[62, 24], Operations: ['8+54=62', '85-61=24'] Exploring Operation: 62-24=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 59, 15, 39, 61 ]
47
[ "59+61=120", "120/15=8", "39+8=47" ]
Current State: 47:[59, 15, 39, 61], Operations: [] Exploring Operation: 59+61=120, Resulting Numbers: [15, 39, 120] Generated Node #2: [15, 39, 120] from Operation: 59+61=120 Current State: 47:[15, 39, 120], Operations: ['59+61=120'] Exploring Operation: 120/15=8, Resulting Numbers: [39, 8] Generated Node #3: [39, 8] from Operation: 120/15=8 Current State: 47:[39, 8], Operations: ['59+61=120', '120/15=8'] Exploring Operation: 39+8=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 5, 71, 85, 23 ]
45
[ "85-71=14", "23-14=9", "5*9=45" ]
Current State: 45:[5, 71, 85, 23], Operations: [] Exploring Operation: 85-71=14, Resulting Numbers: [5, 23, 14] Generated Node #2: [5, 23, 14] from Operation: 85-71=14 Current State: 45:[5, 23, 14], Operations: ['85-71=14'] Exploring Operation: 23-14=9, Resulting Numbers: [5, 9] Generated Node #3: [5, 9] from Operation: 23-14=9 Current State: 45:[5, 9], Operations: ['85-71=14', '23-14=9'] Exploring Operation: 5*9=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 73, 42, 46, 96 ]
92
[ "96-73=23", "46-42=4", "23*4=92" ]
Current State: 92:[73, 42, 46, 96], Operations: [] Exploring Operation: 96-73=23, Resulting Numbers: [42, 46, 23] Generated Node #2: [42, 46, 23] from Operation: 96-73=23 Current State: 92:[42, 46, 23], Operations: ['96-73=23'] Exploring Operation: 46-42=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 46-42=4 Current State: 92:[23, 4], Operations: ['96-73=23', '46-42=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 42, 39, 58, 87 ]
64
[ "42+39=81", "58+87=145", "145-81=64" ]
Current State: 64:[42, 39, 58, 87], Operations: [] Exploring Operation: 42+39=81, Resulting Numbers: [58, 87, 81] Generated Node #2: [58, 87, 81] from Operation: 42+39=81 Current State: 64:[58, 87, 81], Operations: ['42+39=81'] Exploring Operation: 58+87=145, Resulting Numbers: [81, 145] Generated Node #3: [81, 145] from Operation: 58+87=145 Current State: 64:[81, 145], Operations: ['42+39=81', '58+87=145'] Exploring Operation: 145-81=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 2, 27, 38, 74 ]
56
[ "27+38=65", "2*65=130", "130-74=56" ]
Current State: 56:[2, 27, 38, 74], Operations: [] Exploring Operation: 27+38=65, Resulting Numbers: [2, 74, 65] Generated Node #2: [2, 74, 65] from Operation: 27+38=65 Current State: 56:[2, 74, 65], Operations: ['27+38=65'] Exploring Operation: 2*65=130, Resulting Numbers: [74, 130] Generated Node #3: [74, 130] from Operation: 2*65=130 Current State: 56:[74, 130], Operations: ['27+38=65', '2*65=130'] Exploring Operation: 130-74=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 54, 96, 42, 60 ]
99
[ "60-42=18", "54/18=3", "96+3=99" ]
Current State: 99:[54, 96, 42, 60], Operations: [] Exploring Operation: 60-42=18, Resulting Numbers: [54, 96, 18] Generated Node #2: [54, 96, 18] from Operation: 60-42=18 Current State: 99:[54, 96, 18], Operations: ['60-42=18'] Exploring Operation: 54/18=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 54/18=3 Current State: 99:[96, 3], Operations: ['60-42=18', '54/18=3'] Exploring Operation: 96+3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 62, 60, 77, 61 ]
69
[ "62-60=2", "77+61=138", "138/2=69" ]
Current State: 69:[62, 60, 77, 61], Operations: [] Exploring Operation: 62-60=2, Resulting Numbers: [77, 61, 2] Generated Node #2: [77, 61, 2] from Operation: 62-60=2 Current State: 69:[77, 61, 2], Operations: ['62-60=2'] Exploring Operation: 77+61=138, Resulting Numbers: [2, 138] Generated Node #3: [2, 138] from Operation: 77+61=138 Current State: 69:[2, 138], Operations: ['62-60=2', '77+61=138'] Exploring Operation: 138/2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 11, 33, 38, 7 ]
90
[ "11+7=18", "38-33=5", "18*5=90" ]
Current State: 90:[11, 33, 38, 7], Operations: [] Exploring Operation: 11+7=18, Resulting Numbers: [33, 38, 18] Generated Node #2: [33, 38, 18] from Operation: 11+7=18 Current State: 90:[33, 38, 18], Operations: ['11+7=18'] Exploring Operation: 38-33=5, Resulting Numbers: [18, 5] Generated Node #3: [18, 5] from Operation: 38-33=5 Current State: 90:[18, 5], Operations: ['11+7=18', '38-33=5'] Exploring Operation: 18*5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 78, 57, 11, 35 ]
39
[ "78*11=858", "57-35=22", "858/22=39" ]
Current State: 39:[78, 57, 11, 35], Operations: [] Exploring Operation: 78*11=858, Resulting Numbers: [57, 35, 858] Generated Node #2: [57, 35, 858] from Operation: 78*11=858 Current State: 39:[57, 35, 858], Operations: ['78*11=858'] Exploring Operation: 57-35=22, Resulting Numbers: [858, 22] Generated Node #3: [858, 22] from Operation: 57-35=22 Current State: 39:[858, 22], Operations: ['78*11=858', '57-35=22'] Exploring Operation: 858/22=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 18, 81, 99, 78 ]
68
[ "81+99=180", "180/18=10", "78-10=68" ]
Current State: 68:[18, 81, 99, 78], Operations: [] Exploring Operation: 81+99=180, Resulting Numbers: [18, 78, 180] Generated Node #2: [18, 78, 180] from Operation: 81+99=180 Current State: 68:[18, 78, 180], Operations: ['81+99=180'] Exploring Operation: 180/18=10, Resulting Numbers: [78, 10] Generated Node #3: [78, 10] from Operation: 180/18=10 Current State: 68:[78, 10], Operations: ['81+99=180', '180/18=10'] Exploring Operation: 78-10=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 64, 71, 10, 75 ]
18
[ "64+71=135", "10*135=1350", "1350/75=18" ]
Current State: 18:[64, 71, 10, 75], Operations: [] Exploring Operation: 64+71=135, Resulting Numbers: [10, 75, 135] Generated Node #2: [10, 75, 135] from Operation: 64+71=135 Current State: 18:[10, 75, 135], Operations: ['64+71=135'] Exploring Operation: 10*135=1350, Resulting Numbers: [75, 1350] Generated Node #3: [75, 1350] from Operation: 10*135=1350 Current State: 18:[75, 1350], Operations: ['64+71=135', '10*135=1350'] Exploring Operation: 1350/75=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 65, 21, 95, 69 ]
29
[ "69-65=4", "21+95=116", "116/4=29" ]
Current State: 29:[65, 21, 95, 69], Operations: [] Exploring Operation: 69-65=4, Resulting Numbers: [21, 95, 4] Generated Node #2: [21, 95, 4] from Operation: 69-65=4 Current State: 29:[21, 95, 4], Operations: ['69-65=4'] Exploring Operation: 21+95=116, Resulting Numbers: [4, 116] Generated Node #3: [4, 116] from Operation: 21+95=116 Current State: 29:[4, 116], Operations: ['69-65=4', '21+95=116'] Exploring Operation: 116/4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 87, 14, 8, 24 ]
83
[ "14-8=6", "24/6=4", "87-4=83" ]
Current State: 83:[87, 14, 8, 24], Operations: [] Exploring Operation: 14-8=6, Resulting Numbers: [87, 24, 6] Generated Node #2: [87, 24, 6] from Operation: 14-8=6 Current State: 83:[87, 24, 6], Operations: ['14-8=6'] Exploring Operation: 24/6=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 24/6=4 Current State: 83:[87, 4], Operations: ['14-8=6', '24/6=4'] Exploring Operation: 87-4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 50, 10, 92, 41 ]
91
[ "50-10=40", "92-41=51", "40+51=91" ]
Current State: 91:[50, 10, 92, 41], Operations: [] Exploring Operation: 50-10=40, Resulting Numbers: [92, 41, 40] Generated Node #2: [92, 41, 40] from Operation: 50-10=40 Current State: 91:[92, 41, 40], Operations: ['50-10=40'] Exploring Operation: 92-41=51, Resulting Numbers: [40, 51] Generated Node #3: [40, 51] from Operation: 92-41=51 Current State: 91:[40, 51], Operations: ['50-10=40', '92-41=51'] Exploring Operation: 40+51=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 45, 3, 7, 43 ]
11
[ "45-43=2", "7*2=14", "14-3=11" ]
Current State: 11:[45, 3, 7, 43], Operations: [] Exploring Operation: 45-43=2, Resulting Numbers: [3, 7, 2] Generated Node #2: [3, 7, 2] from Operation: 45-43=2 Current State: 11:[3, 7, 2], Operations: ['45-43=2'] Exploring Operation: 7*2=14, Resulting Numbers: [3, 14] Generated Node #3: [3, 14] from Operation: 7*2=14 Current State: 11:[3, 14], Operations: ['45-43=2', '7*2=14'] Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 53, 26, 59, 68 ]
18
[ "53-26=27", "68-59=9", "27-9=18" ]
Current State: 18:[53, 26, 59, 68], Operations: [] Exploring Operation: 53-26=27, Resulting Numbers: [59, 68, 27] Generated Node #2: [59, 68, 27] from Operation: 53-26=27 Current State: 18:[59, 68, 27], Operations: ['53-26=27'] Exploring Operation: 68-59=9, Resulting Numbers: [27, 9] Generated Node #3: [27, 9] from Operation: 68-59=9 Current State: 18:[27, 9], Operations: ['53-26=27', '68-59=9'] Exploring Operation: 27-9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 73, 39, 90, 40 ]
18
[ "73+39=112", "90+40=130", "130-112=18" ]
Current State: 18:[73, 39, 90, 40], Operations: [] Exploring Operation: 73+39=112, Resulting Numbers: [90, 40, 112] Generated Node #2: [90, 40, 112] from Operation: 73+39=112 Current State: 18:[90, 40, 112], Operations: ['73+39=112'] Exploring Operation: 90+40=130, Resulting Numbers: [112, 130] Generated Node #3: [112, 130] from Operation: 90+40=130 Current State: 18:[112, 130], Operations: ['73+39=112', '90+40=130'] Exploring Operation: 130-112=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 53, 10, 93, 95 ]
48
[ "95-93=2", "10/2=5", "53-5=48" ]
Current State: 48:[53, 10, 93, 95], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [53, 10, 2] Generated Node #2: [53, 10, 2] from Operation: 95-93=2 Current State: 48:[53, 10, 2], Operations: ['95-93=2'] Exploring Operation: 10/2=5, Resulting Numbers: [53, 5] Generated Node #3: [53, 5] from Operation: 10/2=5 Current State: 48:[53, 5], Operations: ['95-93=2', '10/2=5'] Exploring Operation: 53-5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 42, 54, 12, 72 ]
96
[ "54-42=12", "12+72=84", "12+84=96" ]
Current State: 96:[42, 54, 12, 72], Operations: [] Exploring Operation: 54-42=12, Resulting Numbers: [12, 72, 12] Generated Node #2: [12, 72, 12] from Operation: 54-42=12 Current State: 96:[12, 72, 12], Operations: ['54-42=12'] Exploring Operation: 12+72=84, Resulting Numbers: [84] 84,96 equal: Goal Reached Exploring Operation: 12+84=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 3, 67, 21, 9 ]
60
[ "3*21=63", "63/9=7", "67-7=60" ]
Current State: 60:[3, 67, 21, 9], Operations: [] Exploring Operation: 3*21=63, Resulting Numbers: [67, 9, 63] Generated Node #2: [67, 9, 63] from Operation: 3*21=63 Current State: 60:[67, 9, 63], Operations: ['3*21=63'] Exploring Operation: 63/9=7, Resulting Numbers: [67, 7] Generated Node #3: [67, 7] from Operation: 63/9=7 Current State: 60:[67, 7], Operations: ['3*21=63', '63/9=7'] Exploring Operation: 67-7=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 81, 52, 14, 58 ]
89
[ "81+52=133", "58-14=44", "133-44=89" ]
Current State: 89:[81, 52, 14, 58], Operations: [] Exploring Operation: 81+52=133, Resulting Numbers: [14, 58, 133] Generated Node #2: [14, 58, 133] from Operation: 81+52=133 Current State: 89:[14, 58, 133], Operations: ['81+52=133'] Exploring Operation: 58-14=44, Resulting Numbers: [133, 44] Generated Node #3: [133, 44] from Operation: 58-14=44 Current State: 89:[133, 44], Operations: ['81+52=133', '58-14=44'] Exploring Operation: 133-44=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 74, 32, 17, 13 ]
38
[ "74-32=42", "17-13=4", "42-4=38" ]
Current State: 38:[74, 32, 17, 13], Operations: [] Exploring Operation: 74-32=42, Resulting Numbers: [17, 13, 42] Generated Node #2: [17, 13, 42] from Operation: 74-32=42 Current State: 38:[17, 13, 42], Operations: ['74-32=42'] Exploring Operation: 17-13=4, Resulting Numbers: [42, 4] Generated Node #3: [42, 4] from Operation: 17-13=4 Current State: 38:[42, 4], Operations: ['74-32=42', '17-13=4'] Exploring Operation: 42-4=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 56, 46, 11, 4 ]
29
[ "56-46=10", "4*10=40", "40-11=29" ]
Current State: 29:[56, 46, 11, 4], Operations: [] Exploring Operation: 56-46=10, Resulting Numbers: [11, 4, 10] Generated Node #2: [11, 4, 10] from Operation: 56-46=10 Current State: 29:[11, 4, 10], Operations: ['56-46=10'] Exploring Operation: 4*10=40, Resulting Numbers: [11, 40] Generated Node #3: [11, 40] from Operation: 4*10=40 Current State: 29:[11, 40], Operations: ['56-46=10', '4*10=40'] Exploring Operation: 40-11=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 33, 78, 52, 40 ]
18
[ "33*52=1716", "1716/78=22", "40-22=18" ]
Current State: 18:[33, 78, 52, 40], Operations: [] Exploring Operation: 33*52=1716, Resulting Numbers: [78, 40, 1716] Generated Node #2: [78, 40, 1716] from Operation: 33*52=1716 Current State: 18:[78, 40, 1716], Operations: ['33*52=1716'] Exploring Operation: 1716/78=22, Resulting Numbers: [40, 22] Generated Node #3: [40, 22] from Operation: 1716/78=22 Current State: 18:[40, 22], Operations: ['33*52=1716', '1716/78=22'] Exploring Operation: 40-22=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 44, 2, 9, 61 ]
74
[ "44/2=22", "61-9=52", "22+52=74" ]
Current State: 74:[44, 2, 9, 61], Operations: [] Exploring Operation: 44/2=22, Resulting Numbers: [9, 61, 22] Generated Node #2: [9, 61, 22] from Operation: 44/2=22 Current State: 74:[9, 61, 22], Operations: ['44/2=22'] Exploring Operation: 61-9=52, Resulting Numbers: [22, 52] Generated Node #3: [22, 52] from Operation: 61-9=52 Current State: 74:[22, 52], Operations: ['44/2=22', '61-9=52'] Exploring Operation: 22+52=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 84, 59, 16, 85 ]
76
[ "84-59=25", "16+85=101", "101-25=76" ]
Current State: 76:[84, 59, 16, 85], Operations: [] Exploring Operation: 84-59=25, Resulting Numbers: [16, 85, 25] Generated Node #2: [16, 85, 25] from Operation: 84-59=25 Current State: 76:[16, 85, 25], Operations: ['84-59=25'] Exploring Operation: 16+85=101, Resulting Numbers: [25, 101] Generated Node #3: [25, 101] from Operation: 16+85=101 Current State: 76:[25, 101], Operations: ['84-59=25', '16+85=101'] Exploring Operation: 101-25=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 82, 79, 31, 77 ]
20
[ "79-77=2", "31*2=62", "82-62=20" ]
Current State: 20:[82, 79, 31, 77], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [82, 31, 2] Generated Node #2: [82, 31, 2] from Operation: 79-77=2 Current State: 20:[82, 31, 2], Operations: ['79-77=2'] Exploring Operation: 31*2=62, Resulting Numbers: [82, 62] Generated Node #3: [82, 62] from Operation: 31*2=62 Current State: 20:[82, 62], Operations: ['79-77=2', '31*2=62'] Exploring Operation: 82-62=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 40, 35, 35, 23 ]
18
[ "40-23=17", "35/35=1", "17+1=18" ]
Current State: 18:[40, 35, 35, 23], Operations: [] Exploring Operation: 40-23=17, Resulting Numbers: [35, 35, 17] Generated Node #2: [35, 35, 17] from Operation: 40-23=17 Current State: 18:[35, 35, 17], Operations: ['40-23=17'] Exploring Operation: 35/35=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 35/35=1 Current State: 18:[17, 1], Operations: ['40-23=17', '35/35=1'] Exploring Operation: 17+1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 50, 5, 39, 69 ]
85
[ "50+5=55", "69-39=30", "55+30=85" ]
Current State: 85:[50, 5, 39, 69], Operations: [] Exploring Operation: 50+5=55, Resulting Numbers: [39, 69, 55] Generated Node #2: [39, 69, 55] from Operation: 50+5=55 Current State: 85:[39, 69, 55], Operations: ['50+5=55'] Exploring Operation: 69-39=30, Resulting Numbers: [55, 30] Generated Node #3: [55, 30] from Operation: 69-39=30 Current State: 85:[55, 30], Operations: ['50+5=55', '69-39=30'] Exploring Operation: 55+30=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 84, 28, 18, 54 ]
16
[ "84-28=56", "18+54=72", "72-56=16" ]
Current State: 16:[84, 28, 18, 54], Operations: [] Exploring Operation: 84-28=56, Resulting Numbers: [18, 54, 56] Generated Node #2: [18, 54, 56] from Operation: 84-28=56 Current State: 16:[18, 54, 56], Operations: ['84-28=56'] Exploring Operation: 18+54=72, Resulting Numbers: [56, 72] Generated Node #3: [56, 72] from Operation: 18+54=72 Current State: 16:[56, 72], Operations: ['84-28=56', '18+54=72'] Exploring Operation: 72-56=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 84, 34, 29, 30 ]
14
[ "34-29=5", "84*5=420", "420/30=14" ]
Current State: 14:[84, 34, 29, 30], Operations: [] Exploring Operation: 34-29=5, Resulting Numbers: [84, 30, 5] Generated Node #2: [84, 30, 5] from Operation: 34-29=5 Current State: 14:[84, 30, 5], Operations: ['34-29=5'] Exploring Operation: 84*5=420, Resulting Numbers: [30, 420] Generated Node #3: [30, 420] from Operation: 84*5=420 Current State: 14:[30, 420], Operations: ['34-29=5', '84*5=420'] Exploring Operation: 420/30=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 3, 5, 25, 17 ]
33
[ "5-3=2", "25*2=50", "50-17=33" ]
Current State: 33:[3, 5, 25, 17], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [25, 17, 2] Generated Node #2: [25, 17, 2] from Operation: 5-3=2 Current State: 33:[25, 17, 2], Operations: ['5-3=2'] Exploring Operation: 25*2=50, Resulting Numbers: [17, 50] Generated Node #3: [17, 50] from Operation: 25*2=50 Current State: 33:[17, 50], Operations: ['5-3=2', '25*2=50'] Exploring Operation: 50-17=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 6, 30, 1, 43 ]
39
[ "30/6=5", "1+43=44", "44-5=39" ]
Current State: 39:[6, 30, 1, 43], Operations: [] Exploring Operation: 30/6=5, Resulting Numbers: [1, 43, 5] Generated Node #2: [1, 43, 5] from Operation: 30/6=5 Current State: 39:[1, 43, 5], Operations: ['30/6=5'] Exploring Operation: 1+43=44, Resulting Numbers: [5, 44] Generated Node #3: [5, 44] from Operation: 1+43=44 Current State: 39:[5, 44], Operations: ['30/6=5', '1+43=44'] Exploring Operation: 44-5=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 51, 24, 66, 54 ]
85
[ "24+66=90", "51*90=4590", "4590/54=85" ]
Current State: 85:[51, 24, 66, 54], Operations: [] Exploring Operation: 24+66=90, Resulting Numbers: [51, 54, 90] Generated Node #2: [51, 54, 90] from Operation: 24+66=90 Current State: 85:[51, 54, 90], Operations: ['24+66=90'] Exploring Operation: 51*90=4590, Resulting Numbers: [54, 4590] Generated Node #3: [54, 4590] from Operation: 51*90=4590 Current State: 85:[54, 4590], Operations: ['24+66=90', '51*90=4590'] Exploring Operation: 4590/54=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 21, 53, 15, 21 ]
80
[ "21+53=74", "21-15=6", "74+6=80" ]
Current State: 80:[21, 53, 15, 21], Operations: [] Exploring Operation: 21+53=74, Resulting Numbers: [15, 74] Generated Node #2: [15, 74] from Operation: 21+53=74 Current State: 80:[15, 74], Operations: ['21+53=74'] Exploring Operation: 21-15=6, Resulting Numbers: [74, 6] Generated Node #3: [74, 6] from Operation: 21-15=6 Current State: 80:[74, 6], Operations: ['21+53=74', '21-15=6'] Exploring Operation: 74+6=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 55, 95, 7, 90 ]
67
[ "55+95=150", "90-7=83", "150-83=67" ]
Current State: 67:[55, 95, 7, 90], Operations: [] Exploring Operation: 55+95=150, Resulting Numbers: [7, 90, 150] Generated Node #2: [7, 90, 150] from Operation: 55+95=150 Current State: 67:[7, 90, 150], Operations: ['55+95=150'] Exploring Operation: 90-7=83, Resulting Numbers: [150, 83] Generated Node #3: [150, 83] from Operation: 90-7=83 Current State: 67:[150, 83], Operations: ['55+95=150', '90-7=83'] Exploring Operation: 150-83=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 61, 24, 36, 21 ]
52
[ "61-24=37", "36-21=15", "37+15=52" ]
Current State: 52:[61, 24, 36, 21], Operations: [] Exploring Operation: 61-24=37, Resulting Numbers: [36, 21, 37] Generated Node #2: [36, 21, 37] from Operation: 61-24=37 Current State: 52:[36, 21, 37], Operations: ['61-24=37'] Exploring Operation: 36-21=15, Resulting Numbers: [37, 15] Generated Node #3: [37, 15] from Operation: 36-21=15 Current State: 52:[37, 15], Operations: ['61-24=37', '36-21=15'] Exploring Operation: 37+15=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 12, 3, 1, 74 ]
35
[ "12+1=13", "3*13=39", "74-39=35" ]
Current State: 35:[12, 3, 1, 74], Operations: [] Exploring Operation: 12+1=13, Resulting Numbers: [3, 74, 13] Generated Node #2: [3, 74, 13] from Operation: 12+1=13 Current State: 35:[3, 74, 13], Operations: ['12+1=13'] Exploring Operation: 3*13=39, Resulting Numbers: [74, 39] Generated Node #3: [74, 39] from Operation: 3*13=39 Current State: 35:[74, 39], Operations: ['12+1=13', '3*13=39'] Exploring Operation: 74-39=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 13, 19, 20, 38 ]
25
[ "38-13=25", "20-19=1", "25*1=25" ]
Current State: 25:[13, 19, 20, 38], Operations: [] Exploring Operation: 38-13=25, Resulting Numbers: [19, 20, 25] Generated Node #2: [19, 20, 25] from Operation: 38-13=25 Current State: 25:[19, 20, 25], Operations: ['38-13=25'] Exploring Operation: 20-19=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 20-19=1 Current State: 25:[25, 1], Operations: ['38-13=25', '20-19=1'] Exploring Operation: 25*1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 51, 81, 87, 34 ]
83
[ "81-51=30", "87-34=53", "30+53=83" ]
Current State: 83:[51, 81, 87, 34], Operations: [] Exploring Operation: 81-51=30, Resulting Numbers: [87, 34, 30] Generated Node #2: [87, 34, 30] from Operation: 81-51=30 Current State: 83:[87, 34, 30], Operations: ['81-51=30'] Exploring Operation: 87-34=53, Resulting Numbers: [30, 53] Generated Node #3: [30, 53] from Operation: 87-34=53 Current State: 83:[30, 53], Operations: ['81-51=30', '87-34=53'] Exploring Operation: 30+53=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 59, 58, 9, 50 ]
76
[ "59+58=117", "50-9=41", "117-41=76" ]
Current State: 76:[59, 58, 9, 50], Operations: [] Exploring Operation: 59+58=117, Resulting Numbers: [9, 50, 117] Generated Node #2: [9, 50, 117] from Operation: 59+58=117 Current State: 76:[9, 50, 117], Operations: ['59+58=117'] Exploring Operation: 50-9=41, Resulting Numbers: [117, 41] Generated Node #3: [117, 41] from Operation: 50-9=41 Current State: 76:[117, 41], Operations: ['59+58=117', '50-9=41'] Exploring Operation: 117-41=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 69, 8, 2, 39 ]
20
[ "69-8=61", "2+39=41", "61-41=20" ]
Current State: 20:[69, 8, 2, 39], Operations: [] Exploring Operation: 69-8=61, Resulting Numbers: [2, 39, 61] Generated Node #2: [2, 39, 61] from Operation: 69-8=61 Current State: 20:[2, 39, 61], Operations: ['69-8=61'] Exploring Operation: 2+39=41, Resulting Numbers: [61, 41] Generated Node #3: [61, 41] from Operation: 2+39=41 Current State: 20:[61, 41], Operations: ['69-8=61', '2+39=41'] Exploring Operation: 61-41=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 73, 12, 25, 90 ]
86
[ "73-25=48", "48/12=4", "90-4=86" ]
Current State: 86:[73, 12, 25, 90], Operations: [] Exploring Operation: 73-25=48, Resulting Numbers: [12, 90, 48] Generated Node #2: [12, 90, 48] from Operation: 73-25=48 Current State: 86:[12, 90, 48], Operations: ['73-25=48'] Exploring Operation: 48/12=4, Resulting Numbers: [90, 4] Generated Node #3: [90, 4] from Operation: 48/12=4 Current State: 86:[90, 4], Operations: ['73-25=48', '48/12=4'] Exploring Operation: 90-4=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 37, 91, 50, 36 ]
29
[ "50-37=13", "91/13=7", "36-7=29" ]
Current State: 29:[37, 91, 50, 36], Operations: [] Exploring Operation: 50-37=13, Resulting Numbers: [91, 36, 13] Generated Node #2: [91, 36, 13] from Operation: 50-37=13 Current State: 29:[91, 36, 13], Operations: ['50-37=13'] Exploring Operation: 91/13=7, Resulting Numbers: [36, 7] Generated Node #3: [36, 7] from Operation: 91/13=7 Current State: 29:[36, 7], Operations: ['50-37=13', '91/13=7'] Exploring Operation: 36-7=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 64, 58, 6, 16 ]
82
[ "64*6=384", "384/16=24", "58+24=82" ]
Current State: 82:[64, 58, 6, 16], Operations: [] Exploring Operation: 64*6=384, Resulting Numbers: [58, 16, 384] Generated Node #2: [58, 16, 384] from Operation: 64*6=384 Current State: 82:[58, 16, 384], Operations: ['64*6=384'] Exploring Operation: 384/16=24, Resulting Numbers: [58, 24] Generated Node #3: [58, 24] from Operation: 384/16=24 Current State: 82:[58, 24], Operations: ['64*6=384', '384/16=24'] Exploring Operation: 58+24=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 2, 99, 21, 58 ]
10
[ "99-21=78", "78-58=20", "20/2=10" ]
Current State: 10:[2, 99, 21, 58], Operations: [] Exploring Operation: 99-21=78, Resulting Numbers: [2, 58, 78] Generated Node #2: [2, 58, 78] from Operation: 99-21=78 Current State: 10:[2, 58, 78], Operations: ['99-21=78'] Exploring Operation: 78-58=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 78-58=20 Current State: 10:[2, 20], Operations: ['99-21=78', '78-58=20'] Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 83, 60, 56, 20 ]
85
[ "60*56=3360", "3360/20=168", "168-83=85" ]
Current State: 85:[83, 60, 56, 20], Operations: [] Exploring Operation: 60*56=3360, Resulting Numbers: [83, 20, 3360] Generated Node #2: [83, 20, 3360] from Operation: 60*56=3360 Current State: 85:[83, 20, 3360], Operations: ['60*56=3360'] Exploring Operation: 3360/20=168, Resulting Numbers: [83, 168] Generated Node #3: [83, 168] from Operation: 3360/20=168 Current State: 85:[83, 168], Operations: ['60*56=3360', '3360/20=168'] Exploring Operation: 168-83=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 49, 56, 74, 53 ]
75
[ "74-49=25", "56-53=3", "25*3=75" ]
Current State: 75:[49, 56, 74, 53], Operations: [] Exploring Operation: 74-49=25, Resulting Numbers: [56, 53, 25] Generated Node #2: [56, 53, 25] from Operation: 74-49=25 Current State: 75:[56, 53, 25], Operations: ['74-49=25'] Exploring Operation: 56-53=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 56-53=3 Current State: 75:[25, 3], Operations: ['74-49=25', '56-53=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 29, 53, 76, 21 ]
73
[ "53-29=24", "76+21=97", "97-24=73" ]
Current State: 73:[29, 53, 76, 21], Operations: [] Exploring Operation: 53-29=24, Resulting Numbers: [76, 21, 24] Generated Node #2: [76, 21, 24] from Operation: 53-29=24 Current State: 73:[76, 21, 24], Operations: ['53-29=24'] Exploring Operation: 76+21=97, Resulting Numbers: [24, 97] Generated Node #3: [24, 97] from Operation: 76+21=97 Current State: 73:[24, 97], Operations: ['53-29=24', '76+21=97'] Exploring Operation: 97-24=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 79, 90, 47, 4 ]
19
[ "79+90=169", "47*4=188", "188-169=19" ]
Current State: 19:[79, 90, 47, 4], Operations: [] Exploring Operation: 79+90=169, Resulting Numbers: [47, 4, 169] Generated Node #2: [47, 4, 169] from Operation: 79+90=169 Current State: 19:[47, 4, 169], Operations: ['79+90=169'] Exploring Operation: 47*4=188, Resulting Numbers: [169, 188] Generated Node #3: [169, 188] from Operation: 47*4=188 Current State: 19:[169, 188], Operations: ['79+90=169', '47*4=188'] Exploring Operation: 188-169=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 67, 63, 94, 7 ]
14
[ "67-63=4", "94+4=98", "98/7=14" ]
Current State: 14:[67, 63, 94, 7], Operations: [] Exploring Operation: 67-63=4, Resulting Numbers: [94, 7, 4] Generated Node #2: [94, 7, 4] from Operation: 67-63=4 Current State: 14:[94, 7, 4], Operations: ['67-63=4'] Exploring Operation: 94+4=98, Resulting Numbers: [7, 98] Generated Node #3: [7, 98] from Operation: 94+4=98 Current State: 14:[7, 98], Operations: ['67-63=4', '94+4=98'] Exploring Operation: 98/7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 48, 8, 93, 87 ]
64
[ "48*8=384", "93-87=6", "384/6=64" ]
Current State: 64:[48, 8, 93, 87], Operations: [] Exploring Operation: 48*8=384, Resulting Numbers: [93, 87, 384] Generated Node #2: [93, 87, 384] from Operation: 48*8=384 Current State: 64:[93, 87, 384], Operations: ['48*8=384'] Exploring Operation: 93-87=6, Resulting Numbers: [384, 6] Generated Node #3: [384, 6] from Operation: 93-87=6 Current State: 64:[384, 6], Operations: ['48*8=384', '93-87=6'] Exploring Operation: 384/6=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 88, 42, 60, 12 ]
41
[ "88-42=46", "60/12=5", "46-5=41" ]
Current State: 41:[88, 42, 60, 12], Operations: [] Exploring Operation: 88-42=46, Resulting Numbers: [60, 12, 46] Generated Node #2: [60, 12, 46] from Operation: 88-42=46 Current State: 41:[60, 12, 46], Operations: ['88-42=46'] Exploring Operation: 60/12=5, Resulting Numbers: [46, 5] Generated Node #3: [46, 5] from Operation: 60/12=5 Current State: 41:[46, 5], Operations: ['88-42=46', '60/12=5'] Exploring Operation: 46-5=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 68, 65, 18, 22 ]
84
[ "68-65=3", "22*3=66", "18+66=84" ]
Current State: 84:[68, 65, 18, 22], Operations: [] Exploring Operation: 68-65=3, Resulting Numbers: [18, 22, 3] Generated Node #2: [18, 22, 3] from Operation: 68-65=3 Current State: 84:[18, 22, 3], Operations: ['68-65=3'] Exploring Operation: 22*3=66, Resulting Numbers: [18, 66] Generated Node #3: [18, 66] from Operation: 22*3=66 Current State: 84:[18, 66], Operations: ['68-65=3', '22*3=66'] Exploring Operation: 18+66=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 26, 63, 21, 7 ]
45
[ "26-21=5", "63/7=9", "5*9=45" ]
Current State: 45:[26, 63, 21, 7], Operations: [] Exploring Operation: 26-21=5, Resulting Numbers: [63, 7, 5] Generated Node #2: [63, 7, 5] from Operation: 26-21=5 Current State: 45:[63, 7, 5], Operations: ['26-21=5'] Exploring Operation: 63/7=9, Resulting Numbers: [5, 9] Generated Node #3: [5, 9] from Operation: 63/7=9 Current State: 45:[5, 9], Operations: ['26-21=5', '63/7=9'] Exploring Operation: 5*9=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 62, 11, 58, 27 ]
22
[ "62*11=682", "58-27=31", "682/31=22" ]
Current State: 22:[62, 11, 58, 27], Operations: [] Exploring Operation: 62*11=682, Resulting Numbers: [58, 27, 682] Generated Node #2: [58, 27, 682] from Operation: 62*11=682 Current State: 22:[58, 27, 682], Operations: ['62*11=682'] Exploring Operation: 58-27=31, Resulting Numbers: [682, 31] Generated Node #3: [682, 31] from Operation: 58-27=31 Current State: 22:[682, 31], Operations: ['62*11=682', '58-27=31'] Exploring Operation: 682/31=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 19, 40, 63, 14 ]
28
[ "40-19=21", "63-14=49", "49-21=28" ]
Current State: 28:[19, 40, 63, 14], Operations: [] Exploring Operation: 40-19=21, Resulting Numbers: [63, 14, 21] Generated Node #2: [63, 14, 21] from Operation: 40-19=21 Current State: 28:[63, 14, 21], Operations: ['40-19=21'] Exploring Operation: 63-14=49, Resulting Numbers: [21, 49] Generated Node #3: [21, 49] from Operation: 63-14=49 Current State: 28:[21, 49], Operations: ['40-19=21', '63-14=49'] Exploring Operation: 49-21=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 21, 45, 81, 6 ]
70
[ "21+45=66", "66/6=11", "81-11=70" ]
Current State: 70:[21, 45, 81, 6], Operations: [] Exploring Operation: 21+45=66, Resulting Numbers: [81, 6, 66] Generated Node #2: [81, 6, 66] from Operation: 21+45=66 Current State: 70:[81, 6, 66], Operations: ['21+45=66'] Exploring Operation: 66/6=11, Resulting Numbers: [81, 11] Generated Node #3: [81, 11] from Operation: 66/6=11 Current State: 70:[81, 11], Operations: ['21+45=66', '66/6=11'] Exploring Operation: 81-11=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 53, 44, 59, 71 ]
21
[ "53-44=9", "71-59=12", "9+12=21" ]
Current State: 21:[53, 44, 59, 71], Operations: [] Exploring Operation: 53-44=9, Resulting Numbers: [59, 71, 9] Generated Node #2: [59, 71, 9] from Operation: 53-44=9 Current State: 21:[59, 71, 9], Operations: ['53-44=9'] Exploring Operation: 71-59=12, Resulting Numbers: [9, 12] Generated Node #3: [9, 12] from Operation: 71-59=12 Current State: 21:[9, 12], Operations: ['53-44=9', '71-59=12'] Exploring Operation: 9+12=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 34, 13, 83, 11 ]
66
[ "13-11=2", "34/2=17", "83-17=66" ]
Current State: 66:[34, 13, 83, 11], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [34, 83, 2] Generated Node #2: [34, 83, 2] from Operation: 13-11=2 Current State: 66:[34, 83, 2], Operations: ['13-11=2'] Exploring Operation: 34/2=17, Resulting Numbers: [83, 17] Generated Node #3: [83, 17] from Operation: 34/2=17 Current State: 66:[83, 17], Operations: ['13-11=2', '34/2=17'] Exploring Operation: 83-17=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 8, 64, 87, 40 ]
71
[ "64-8=56", "87+40=127", "127-56=71" ]
Current State: 71:[8, 64, 87, 40], Operations: [] Exploring Operation: 64-8=56, Resulting Numbers: [87, 40, 56] Generated Node #2: [87, 40, 56] from Operation: 64-8=56 Current State: 71:[87, 40, 56], Operations: ['64-8=56'] Exploring Operation: 87+40=127, Resulting Numbers: [56, 127] Generated Node #3: [56, 127] from Operation: 87+40=127 Current State: 71:[56, 127], Operations: ['64-8=56', '87+40=127'] Exploring Operation: 127-56=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 32, 88, 60, 90 ]
92
[ "32+88=120", "120/60=2", "90+2=92" ]
Current State: 92:[32, 88, 60, 90], Operations: [] Exploring Operation: 32+88=120, Resulting Numbers: [60, 90, 120] Generated Node #2: [60, 90, 120] from Operation: 32+88=120 Current State: 92:[60, 90, 120], Operations: ['32+88=120'] Exploring Operation: 120/60=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 120/60=2 Current State: 92:[90, 2], Operations: ['32+88=120', '120/60=2'] Exploring Operation: 90+2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 6, 27, 9, 31 ]
55
[ "6+27=33", "31-9=22", "33+22=55" ]
Current State: 55:[6, 27, 9, 31], Operations: [] Exploring Operation: 6+27=33, Resulting Numbers: [9, 31, 33] Generated Node #2: [9, 31, 33] from Operation: 6+27=33 Current State: 55:[9, 31, 33], Operations: ['6+27=33'] Exploring Operation: 31-9=22, Resulting Numbers: [33, 22] Generated Node #3: [33, 22] from Operation: 31-9=22 Current State: 55:[33, 22], Operations: ['6+27=33', '31-9=22'] Exploring Operation: 33+22=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 21, 59, 78, 39 ]
77
[ "59-21=38", "78-39=39", "38+39=77" ]
Current State: 77:[21, 59, 78, 39], Operations: [] Exploring Operation: 59-21=38, Resulting Numbers: [78, 39, 38] Generated Node #2: [78, 39, 38] from Operation: 59-21=38 Current State: 77:[78, 39, 38], Operations: ['59-21=38'] Exploring Operation: 78-39=39, Resulting Numbers: [38, 39] Generated Node #3: [38, 39] from Operation: 78-39=39 Current State: 77:[38, 39], Operations: ['59-21=38', '78-39=39'] Exploring Operation: 38+39=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 91, 12, 69, 11 ]
22
[ "91-69=22", "12-11=1", "22*1=22" ]
Current State: 22:[91, 12, 69, 11], Operations: [] Exploring Operation: 91-69=22, Resulting Numbers: [12, 11, 22] Generated Node #2: [12, 11, 22] from Operation: 91-69=22 Current State: 22:[12, 11, 22], Operations: ['91-69=22'] Exploring Operation: 12-11=1, Resulting Numbers: [22, 1] Generated Node #3: [22, 1] from Operation: 12-11=1 Current State: 22:[22, 1], Operations: ['91-69=22', '12-11=1'] Exploring Operation: 22*1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 12, 2, 76, 2 ]
19
[ "12/2=6", "6-2=4", "76/4=19" ]
Current State: 19:[12, 2, 76, 2], Operations: [] Exploring Operation: 12/2=6, Resulting Numbers: [76, 6] Generated Node #2: [76, 6] from Operation: 12/2=6 Current State: 19:[76, 6], Operations: ['12/2=6'] Exploring Operation: 6-2=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 6-2=4 Current State: 19:[76, 4], Operations: ['12/2=6', '6-2=4'] Exploring Operation: 76/4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 97, 38, 65, 46 ]
40
[ "97-38=59", "65-46=19", "59-19=40" ]
Current State: 40:[97, 38, 65, 46], Operations: [] Exploring Operation: 97-38=59, Resulting Numbers: [65, 46, 59] Generated Node #2: [65, 46, 59] from Operation: 97-38=59 Current State: 40:[65, 46, 59], Operations: ['97-38=59'] Exploring Operation: 65-46=19, Resulting Numbers: [59, 19] Generated Node #3: [59, 19] from Operation: 65-46=19 Current State: 40:[59, 19], Operations: ['97-38=59', '65-46=19'] Exploring Operation: 59-19=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 88, 11, 89, 47 ]
37
[ "88+11=99", "89+47=136", "136-99=37" ]
Current State: 37:[88, 11, 89, 47], Operations: [] Exploring Operation: 88+11=99, Resulting Numbers: [89, 47, 99] Generated Node #2: [89, 47, 99] from Operation: 88+11=99 Current State: 37:[89, 47, 99], Operations: ['88+11=99'] Exploring Operation: 89+47=136, Resulting Numbers: [99, 136] Generated Node #3: [99, 136] from Operation: 89+47=136 Current State: 37:[99, 136], Operations: ['88+11=99', '89+47=136'] Exploring Operation: 136-99=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 28, 70, 2, 48 ]
39
[ "70-48=22", "22/2=11", "28+11=39" ]
Current State: 39:[28, 70, 2, 48], Operations: [] Exploring Operation: 70-48=22, Resulting Numbers: [28, 2, 22] Generated Node #2: [28, 2, 22] from Operation: 70-48=22 Current State: 39:[28, 2, 22], Operations: ['70-48=22'] Exploring Operation: 22/2=11, Resulting Numbers: [28, 11] Generated Node #3: [28, 11] from Operation: 22/2=11 Current State: 39:[28, 11], Operations: ['70-48=22', '22/2=11'] Exploring Operation: 28+11=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 81, 64, 66, 32 ]
97
[ "66-64=2", "32/2=16", "81+16=97" ]
Current State: 97:[81, 64, 66, 32], Operations: [] Exploring Operation: 66-64=2, Resulting Numbers: [81, 32, 2] Generated Node #2: [81, 32, 2] from Operation: 66-64=2 Current State: 97:[81, 32, 2], Operations: ['66-64=2'] Exploring Operation: 32/2=16, Resulting Numbers: [81, 16] Generated Node #3: [81, 16] from Operation: 32/2=16 Current State: 97:[81, 16], Operations: ['66-64=2', '32/2=16'] Exploring Operation: 81+16=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 11, 77, 41, 44 ]
69
[ "77-11=66", "44-41=3", "66+3=69" ]
Current State: 69:[11, 77, 41, 44], Operations: [] Exploring Operation: 77-11=66, Resulting Numbers: [41, 44, 66] Generated Node #2: [41, 44, 66] from Operation: 77-11=66 Current State: 69:[41, 44, 66], Operations: ['77-11=66'] Exploring Operation: 44-41=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 44-41=3 Current State: 69:[66, 3], Operations: ['77-11=66', '44-41=3'] Exploring Operation: 66+3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 19, 39, 34, 9 ]
33
[ "19+39=58", "34-9=25", "58-25=33" ]
Current State: 33:[19, 39, 34, 9], Operations: [] Exploring Operation: 19+39=58, Resulting Numbers: [34, 9, 58] Generated Node #2: [34, 9, 58] from Operation: 19+39=58 Current State: 33:[34, 9, 58], Operations: ['19+39=58'] Exploring Operation: 34-9=25, Resulting Numbers: [58, 25] Generated Node #3: [58, 25] from Operation: 34-9=25 Current State: 33:[58, 25], Operations: ['19+39=58', '34-9=25'] Exploring Operation: 58-25=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 68, 40, 42, 36 ]
70
[ "42-40=2", "68/2=34", "36+34=70" ]
Current State: 70:[68, 40, 42, 36], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [68, 36, 2] Generated Node #2: [68, 36, 2] from Operation: 42-40=2 Current State: 70:[68, 36, 2], Operations: ['42-40=2'] Exploring Operation: 68/2=34, Resulting Numbers: [36, 34] Generated Node #3: [36, 34] from Operation: 68/2=34 Current State: 70:[36, 34], Operations: ['42-40=2', '68/2=34'] Exploring Operation: 36+34=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 31, 13, 23, 14 ]
99
[ "31-23=8", "14*8=112", "112-13=99" ]
Current State: 99:[31, 13, 23, 14], Operations: [] Exploring Operation: 31-23=8, Resulting Numbers: [13, 14, 8] Generated Node #2: [13, 14, 8] from Operation: 31-23=8 Current State: 99:[13, 14, 8], Operations: ['31-23=8'] Exploring Operation: 14*8=112, Resulting Numbers: [13, 112] Generated Node #3: [13, 112] from Operation: 14*8=112 Current State: 99:[13, 112], Operations: ['31-23=8', '14*8=112'] Exploring Operation: 112-13=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 15, 10, 90, 76 ]
10
[ "90-15=75", "76-75=1", "10*1=10" ]
Current State: 10:[15, 10, 90, 76], Operations: [] Exploring Operation: 90-15=75, Resulting Numbers: [10, 76, 75] Generated Node #2: [10, 76, 75] from Operation: 90-15=75 Current State: 10:[10, 76, 75], Operations: ['90-15=75'] Exploring Operation: 76-75=1, Resulting Numbers: [10, 1] Generated Node #3: [10, 1] from Operation: 76-75=1 Current State: 10:[10, 1], Operations: ['90-15=75', '76-75=1'] Exploring Operation: 10*1=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 38, 87, 41, 62 ]
99
[ "41-38=3", "62*3=186", "186-87=99" ]
Current State: 99:[38, 87, 41, 62], Operations: [] Exploring Operation: 41-38=3, Resulting Numbers: [87, 62, 3] Generated Node #2: [87, 62, 3] from Operation: 41-38=3 Current State: 99:[87, 62, 3], Operations: ['41-38=3'] Exploring Operation: 62*3=186, Resulting Numbers: [87, 186] Generated Node #3: [87, 186] from Operation: 62*3=186 Current State: 99:[87, 186], Operations: ['41-38=3', '62*3=186'] Exploring Operation: 186-87=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 74, 70, 3, 26 ]
22
[ "74+70=144", "144/3=48", "48-26=22" ]
Current State: 22:[74, 70, 3, 26], Operations: [] Exploring Operation: 74+70=144, Resulting Numbers: [3, 26, 144] Generated Node #2: [3, 26, 144] from Operation: 74+70=144 Current State: 22:[3, 26, 144], Operations: ['74+70=144'] Exploring Operation: 144/3=48, Resulting Numbers: [26, 48] Generated Node #3: [26, 48] from Operation: 144/3=48 Current State: 22:[26, 48], Operations: ['74+70=144', '144/3=48'] Exploring Operation: 48-26=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 33, 19, 96, 53 ]
44
[ "33*96=3168", "19+53=72", "3168/72=44" ]
Current State: 44:[33, 19, 96, 53], Operations: [] Exploring Operation: 33*96=3168, Resulting Numbers: [19, 53, 3168] Generated Node #2: [19, 53, 3168] from Operation: 33*96=3168 Current State: 44:[19, 53, 3168], Operations: ['33*96=3168'] Exploring Operation: 19+53=72, Resulting Numbers: [3168, 72] Generated Node #3: [3168, 72] from Operation: 19+53=72 Current State: 44:[3168, 72], Operations: ['33*96=3168', '19+53=72'] Exploring Operation: 3168/72=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 27, 94, 63, 9 ]
96
[ "63-9=54", "54/27=2", "94+2=96" ]
Current State: 96:[27, 94, 63, 9], Operations: [] Exploring Operation: 63-9=54, Resulting Numbers: [27, 94, 54] Generated Node #2: [27, 94, 54] from Operation: 63-9=54 Current State: 96:[27, 94, 54], Operations: ['63-9=54'] Exploring Operation: 54/27=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 54/27=2 Current State: 96:[94, 2], Operations: ['63-9=54', '54/27=2'] Exploring Operation: 94+2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 6, 83, 71, 84 ]
78
[ "83-6=77", "71+84=155", "155-77=78" ]
Current State: 78:[6, 83, 71, 84], Operations: [] Exploring Operation: 83-6=77, Resulting Numbers: [71, 84, 77] Generated Node #2: [71, 84, 77] from Operation: 83-6=77 Current State: 78:[71, 84, 77], Operations: ['83-6=77'] Exploring Operation: 71+84=155, Resulting Numbers: [77, 155] Generated Node #3: [77, 155] from Operation: 71+84=155 Current State: 78:[77, 155], Operations: ['83-6=77', '71+84=155'] Exploring Operation: 155-77=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 61, 4, 67, 63 ]
36
[ "61+63=124", "124/4=31", "67-31=36" ]
Current State: 36:[61, 4, 67, 63], Operations: [] Exploring Operation: 61+63=124, Resulting Numbers: [4, 67, 124] Generated Node #2: [4, 67, 124] from Operation: 61+63=124 Current State: 36:[4, 67, 124], Operations: ['61+63=124'] Exploring Operation: 124/4=31, Resulting Numbers: [67, 31] Generated Node #3: [67, 31] from Operation: 124/4=31 Current State: 36:[67, 31], Operations: ['61+63=124', '124/4=31'] Exploring Operation: 67-31=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 52, 6, 19, 12 ]
31
[ "52-19=33", "12/6=2", "33-2=31" ]
Current State: 31:[52, 6, 19, 12], Operations: [] Exploring Operation: 52-19=33, Resulting Numbers: [6, 12, 33] Generated Node #2: [6, 12, 33] from Operation: 52-19=33 Current State: 31:[6, 12, 33], Operations: ['52-19=33'] Exploring Operation: 12/6=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 12/6=2 Current State: 31:[33, 2], Operations: ['52-19=33', '12/6=2'] Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 80, 24, 78, 48 ]
74
[ "80+24=104", "78-48=30", "104-30=74" ]
Current State: 74:[80, 24, 78, 48], Operations: [] Exploring Operation: 80+24=104, Resulting Numbers: [78, 48, 104] Generated Node #2: [78, 48, 104] from Operation: 80+24=104 Current State: 74:[78, 48, 104], Operations: ['80+24=104'] Exploring Operation: 78-48=30, Resulting Numbers: [104, 30] Generated Node #3: [104, 30] from Operation: 78-48=30 Current State: 74:[104, 30], Operations: ['80+24=104', '78-48=30'] Exploring Operation: 104-30=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 24, 72, 96, 41 ]
40
[ "24+72=96", "96/96=1", "41-1=40" ]
Current State: 40:[24, 72, 96, 41], Operations: [] Exploring Operation: 24+72=96, Resulting Numbers: [96, 41, 96] Generated Node #2: [96, 41, 96] from Operation: 24+72=96 Current State: 40:[96, 41, 96], Operations: ['24+72=96'] Exploring Operation: 96/96=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 96/96=1 Current State: 40:[41, 1], Operations: ['24+72=96', '96/96=1'] Exploring Operation: 41-1=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 87, 33, 56, 52 ]
58
[ "87-33=54", "56-52=4", "54+4=58" ]
Current State: 58:[87, 33, 56, 52], Operations: [] Exploring Operation: 87-33=54, Resulting Numbers: [56, 52, 54] Generated Node #2: [56, 52, 54] from Operation: 87-33=54 Current State: 58:[56, 52, 54], Operations: ['87-33=54'] Exploring Operation: 56-52=4, Resulting Numbers: [54, 4] Generated Node #3: [54, 4] from Operation: 56-52=4 Current State: 58:[54, 4], Operations: ['87-33=54', '56-52=4'] Exploring Operation: 54+4=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 40, 2, 2, 63 ]
27
[ "40-2=38", "2+63=65", "65-38=27" ]
Current State: 27:[40, 2, 2, 63], Operations: [] Exploring Operation: 40-2=38, Resulting Numbers: [63, 38] Generated Node #2: [63, 38] from Operation: 40-2=38 Current State: 27:[63, 38], Operations: ['40-2=38'] Exploring Operation: 2+63=65, Resulting Numbers: [38, 65] Generated Node #3: [38, 65] from Operation: 2+63=65 Current State: 27:[38, 65], Operations: ['40-2=38', '2+63=65'] Exploring Operation: 65-38=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 21, 14, 31, 3 ]
24
[ "21/3=7", "31-14=17", "7+17=24" ]
Current State: 24:[21, 14, 31, 3], Operations: [] Exploring Operation: 21/3=7, Resulting Numbers: [14, 31, 7] Generated Node #2: [14, 31, 7] from Operation: 21/3=7 Current State: 24:[14, 31, 7], Operations: ['21/3=7'] Exploring Operation: 31-14=17, Resulting Numbers: [7, 17] Generated Node #3: [7, 17] from Operation: 31-14=17 Current State: 24:[7, 17], Operations: ['21/3=7', '31-14=17'] Exploring Operation: 7+17=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 58, 15, 36, 87 ]
46
[ "58*15=870", "870/87=10", "36+10=46" ]
Current State: 46:[58, 15, 36, 87], Operations: [] Exploring Operation: 58*15=870, Resulting Numbers: [36, 87, 870] Generated Node #2: [36, 87, 870] from Operation: 58*15=870 Current State: 46:[36, 87, 870], Operations: ['58*15=870'] Exploring Operation: 870/87=10, Resulting Numbers: [36, 10] Generated Node #3: [36, 10] from Operation: 870/87=10 Current State: 46:[36, 10], Operations: ['58*15=870', '870/87=10'] Exploring Operation: 36+10=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 40, 91, 24, 64 ]
53
[ "91*24=2184", "2184-64=2120", "2120/40=53" ]
Current State: 53:[40, 91, 24, 64], Operations: [] Exploring Operation: 91*24=2184, Resulting Numbers: [40, 64, 2184] Generated Node #2: [40, 64, 2184] from Operation: 91*24=2184 Current State: 53:[40, 64, 2184], Operations: ['91*24=2184'] Exploring Operation: 2184-64=2120, Resulting Numbers: [40, 2120] Generated Node #3: [40, 2120] from Operation: 2184-64=2120 Current State: 53:[40, 2120], Operations: ['91*24=2184', '2184-64=2120'] Exploring Operation: 2120/40=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 46, 1, 10, 1 ]
56
[ "46+1=47", "10-1=9", "47+9=56" ]
Current State: 56:[46, 1, 10, 1], Operations: [] Exploring Operation: 46+1=47, Resulting Numbers: [10, 47] Generated Node #2: [10, 47] from Operation: 46+1=47 Current State: 56:[10, 47], Operations: ['46+1=47'] Exploring Operation: 10-1=9, Resulting Numbers: [47, 9] Generated Node #3: [47, 9] from Operation: 10-1=9 Current State: 56:[47, 9], Operations: ['46+1=47', '10-1=9'] Exploring Operation: 47+9=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 71, 90, 53, 25 ]
20
[ "71-53=18", "90/18=5", "25-5=20" ]
Current State: 20:[71, 90, 53, 25], Operations: [] Exploring Operation: 71-53=18, Resulting Numbers: [90, 25, 18] Generated Node #2: [90, 25, 18] from Operation: 71-53=18 Current State: 20:[90, 25, 18], Operations: ['71-53=18'] Exploring Operation: 90/18=5, Resulting Numbers: [25, 5] Generated Node #3: [25, 5] from Operation: 90/18=5 Current State: 20:[25, 5], Operations: ['71-53=18', '90/18=5'] Exploring Operation: 25-5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 5, 15, 63, 13 ]
24
[ "15/5=3", "13*3=39", "63-39=24" ]
Current State: 24:[5, 15, 63, 13], Operations: [] Exploring Operation: 15/5=3, Resulting Numbers: [63, 13, 3] Generated Node #2: [63, 13, 3] from Operation: 15/5=3 Current State: 24:[63, 13, 3], Operations: ['15/5=3'] Exploring Operation: 13*3=39, Resulting Numbers: [63, 39] Generated Node #3: [63, 39] from Operation: 13*3=39 Current State: 24:[63, 39], Operations: ['15/5=3', '13*3=39'] Exploring Operation: 63-39=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 76, 47, 38, 31 ]
63
[ "76*47=3572", "3572/38=94", "94-31=63" ]
Current State: 63:[76, 47, 38, 31], Operations: [] Exploring Operation: 76*47=3572, Resulting Numbers: [38, 31, 3572] Generated Node #2: [38, 31, 3572] from Operation: 76*47=3572 Current State: 63:[38, 31, 3572], Operations: ['76*47=3572'] Exploring Operation: 3572/38=94, Resulting Numbers: [31, 94] Generated Node #3: [31, 94] from Operation: 3572/38=94 Current State: 63:[31, 94], Operations: ['76*47=3572', '3572/38=94'] Exploring Operation: 94-31=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 14, 32, 10, 9 ]
82
[ "14-9=5", "10*5=50", "32+50=82" ]
Current State: 82:[14, 32, 10, 9], Operations: [] Exploring Operation: 14-9=5, Resulting Numbers: [32, 10, 5] Generated Node #2: [32, 10, 5] from Operation: 14-9=5 Current State: 82:[32, 10, 5], Operations: ['14-9=5'] Exploring Operation: 10*5=50, Resulting Numbers: [32, 50] Generated Node #3: [32, 50] from Operation: 10*5=50 Current State: 82:[32, 50], Operations: ['14-9=5', '10*5=50'] Exploring Operation: 32+50=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4