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
[ 85, 14, 56, 66 ]
76
[ "85-66=19", "56/14=4", "19*4=76" ]
Current State: 76:[85, 14, 56, 66], Operations: [] Exploring Operation: 85-66=19, Resulting Numbers: [14, 56, 19] Generated Node #2: [14, 56, 19] from Operation: 85-66=19 Current State: 76:[14, 56, 19], Operations: ['85-66=19'] Exploring Operation: 56/14=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 56/14=4 Current State: 76:[19, 4], Operations: ['85-66=19', '56/14=4'] Exploring Operation: 19*4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 82, 87, 4, 38 ]
38
[ "87-82=5", "5-4=1", "38*1=38" ]
Current State: 38:[82, 87, 4, 38], Operations: [] Exploring Operation: 87-82=5, Resulting Numbers: [4, 38, 5] Generated Node #2: [4, 38, 5] from Operation: 87-82=5 Current State: 38:[4, 38, 5], Operations: ['87-82=5'] Exploring Operation: 5-4=1, Resulting Numbers: [38, 1] Generated Node #3: [38, 1] from Operation: 5-4=1 Current State: 38:[38, 1], Operations: ['87-82=5', '5-4=1'] Exploring Operation: 38*1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 45, 32, 8, 85 ]
80
[ "45-32=13", "8+85=93", "93-13=80" ]
Current State: 80:[45, 32, 8, 85], Operations: [] Exploring Operation: 45-32=13, Resulting Numbers: [8, 85, 13] Generated Node #2: [8, 85, 13] from Operation: 45-32=13 Current State: 80:[8, 85, 13], Operations: ['45-32=13'] Exploring Operation: 8+85=93, Resulting Numbers: [13, 93] Generated Node #3: [13, 93] from Operation: 8+85=93 Current State: 80:[13, 93], Operations: ['45-32=13', '8+85=93'] Exploring Operation: 93-13=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 88, 67, 11, 18 ]
93
[ "88/11=8", "67+18=85", "8+85=93" ]
Current State: 93:[88, 67, 11, 18], Operations: [] Exploring Operation: 88/11=8, Resulting Numbers: [67, 18, 8] Generated Node #2: [67, 18, 8] from Operation: 88/11=8 Current State: 93:[67, 18, 8], Operations: ['88/11=8'] Exploring Operation: 67+18=85, Resulting Numbers: [8, 85] Generated Node #3: [8, 85] from Operation: 67+18=85 Current State: 93:[8, 85], Operations: ['88/11=8', '67+18=85'] Exploring Operation: 8+85=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 10, 81, 21, 32 ]
82
[ "81-10=71", "32-21=11", "71+11=82" ]
Current State: 82:[10, 81, 21, 32], Operations: [] Exploring Operation: 81-10=71, Resulting Numbers: [21, 32, 71] Generated Node #2: [21, 32, 71] from Operation: 81-10=71 Current State: 82:[21, 32, 71], Operations: ['81-10=71'] Exploring Operation: 32-21=11, Resulting Numbers: [71, 11] Generated Node #3: [71, 11] from Operation: 32-21=11 Current State: 82:[71, 11], Operations: ['81-10=71', '32-21=11'] Exploring Operation: 71+11=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 14, 26, 38, 16 ]
25
[ "16-14=2", "26/2=13", "38-13=25" ]
Current State: 25:[14, 26, 38, 16], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [26, 38, 2] Generated Node #2: [26, 38, 2] from Operation: 16-14=2 Current State: 25:[26, 38, 2], Operations: ['16-14=2'] Exploring Operation: 26/2=13, Resulting Numbers: [38, 13] Generated Node #3: [38, 13] from Operation: 26/2=13 Current State: 25:[38, 13], Operations: ['16-14=2', '26/2=13'] Exploring Operation: 38-13=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 69, 48, 3, 62 ]
80
[ "69-48=21", "62-3=59", "21+59=80" ]
Current State: 80:[69, 48, 3, 62], Operations: [] Exploring Operation: 69-48=21, Resulting Numbers: [3, 62, 21] Generated Node #2: [3, 62, 21] from Operation: 69-48=21 Current State: 80:[3, 62, 21], Operations: ['69-48=21'] Exploring Operation: 62-3=59, Resulting Numbers: [21, 59] Generated Node #3: [21, 59] from Operation: 62-3=59 Current State: 80:[21, 59], Operations: ['69-48=21', '62-3=59'] Exploring Operation: 21+59=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 46, 5, 92, 64 ]
70
[ "46+64=110", "110/5=22", "92-22=70" ]
Current State: 70:[46, 5, 92, 64], Operations: [] Exploring Operation: 46+64=110, Resulting Numbers: [5, 92, 110] Generated Node #2: [5, 92, 110] from Operation: 46+64=110 Current State: 70:[5, 92, 110], Operations: ['46+64=110'] Exploring Operation: 110/5=22, Resulting Numbers: [92, 22] Generated Node #3: [92, 22] from Operation: 110/5=22 Current State: 70:[92, 22], Operations: ['46+64=110', '110/5=22'] Exploring Operation: 92-22=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 3, 35, 29, 53 ]
95
[ "3*53=159", "35+29=64", "159-64=95" ]
Current State: 95:[3, 35, 29, 53], Operations: [] Exploring Operation: 3*53=159, Resulting Numbers: [35, 29, 159] Generated Node #2: [35, 29, 159] from Operation: 3*53=159 Current State: 95:[35, 29, 159], Operations: ['3*53=159'] Exploring Operation: 35+29=64, Resulting Numbers: [159, 64] Generated Node #3: [159, 64] from Operation: 35+29=64 Current State: 95:[159, 64], Operations: ['3*53=159', '35+29=64'] Exploring Operation: 159-64=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 16, 84, 69, 85 ]
83
[ "16+69=85", "85/85=1", "84-1=83" ]
Current State: 83:[16, 84, 69, 85], Operations: [] Exploring Operation: 16+69=85, Resulting Numbers: [84, 85, 85] Generated Node #2: [84, 85, 85] from Operation: 16+69=85 Current State: 83:[84, 85, 85], Operations: ['16+69=85'] Exploring Operation: 85/85=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 85/85=1 Current State: 83:[84, 1], Operations: ['16+69=85', '85/85=1'] Exploring Operation: 84-1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 5, 18, 2, 13 ]
13
[ "18-5=13", "2*13=26", "26-13=13" ]
Current State: 13:[5, 18, 2, 13], Operations: [] Exploring Operation: 18-5=13, Resulting Numbers: [2, 13, 13] Generated Node #2: [2, 13, 13] from Operation: 18-5=13 Current State: 13:[2, 13, 13], Operations: ['18-5=13'] Exploring Operation: 2*13=26, Resulting Numbers: [26] 26,13 equal: Goal Reached Exploring Operation: 26-13=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 84, 88, 9, 42 ]
35
[ "84/42=2", "88/2=44", "44-9=35" ]
Current State: 35:[84, 88, 9, 42], Operations: [] Exploring Operation: 84/42=2, Resulting Numbers: [88, 9, 2] Generated Node #2: [88, 9, 2] from Operation: 84/42=2 Current State: 35:[88, 9, 2], Operations: ['84/42=2'] Exploring Operation: 88/2=44, Resulting Numbers: [9, 44] Generated Node #3: [9, 44] from Operation: 88/2=44 Current State: 35:[9, 44], Operations: ['84/42=2', '88/2=44'] Exploring Operation: 44-9=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 88, 55, 16, 31 ]
80
[ "88-55=33", "16+31=47", "33+47=80" ]
Current State: 80:[88, 55, 16, 31], Operations: [] Exploring Operation: 88-55=33, Resulting Numbers: [16, 31, 33] Generated Node #2: [16, 31, 33] from Operation: 88-55=33 Current State: 80:[16, 31, 33], Operations: ['88-55=33'] Exploring Operation: 16+31=47, Resulting Numbers: [33, 47] Generated Node #3: [33, 47] from Operation: 16+31=47 Current State: 80:[33, 47], Operations: ['88-55=33', '16+31=47'] Exploring Operation: 33+47=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 60, 31, 47, 12 ]
80
[ "60/12=5", "47-31=16", "5*16=80" ]
Current State: 80:[60, 31, 47, 12], Operations: [] Exploring Operation: 60/12=5, Resulting Numbers: [31, 47, 5] Generated Node #2: [31, 47, 5] from Operation: 60/12=5 Current State: 80:[31, 47, 5], Operations: ['60/12=5'] Exploring Operation: 47-31=16, Resulting Numbers: [5, 16] Generated Node #3: [5, 16] from Operation: 47-31=16 Current State: 80:[5, 16], Operations: ['60/12=5', '47-31=16'] Exploring Operation: 5*16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 34, 60, 41, 29 ]
95
[ "34-29=5", "60-41=19", "5*19=95" ]
Current State: 95:[34, 60, 41, 29], Operations: [] Exploring Operation: 34-29=5, Resulting Numbers: [60, 41, 5] Generated Node #2: [60, 41, 5] from Operation: 34-29=5 Current State: 95:[60, 41, 5], Operations: ['34-29=5'] Exploring Operation: 60-41=19, Resulting Numbers: [5, 19] Generated Node #3: [5, 19] from Operation: 60-41=19 Current State: 95:[5, 19], Operations: ['34-29=5', '60-41=19'] Exploring Operation: 5*19=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 19, 23, 75, 16 ]
71
[ "23-19=4", "16/4=4", "75-4=71" ]
Current State: 71:[19, 23, 75, 16], Operations: [] Exploring Operation: 23-19=4, Resulting Numbers: [75, 16, 4] Generated Node #2: [75, 16, 4] from Operation: 23-19=4 Current State: 71:[75, 16, 4], Operations: ['23-19=4'] Exploring Operation: 16/4=4, Resulting Numbers: [75, 4] Generated Node #3: [75, 4] from Operation: 16/4=4 Current State: 71:[75, 4], Operations: ['23-19=4', '16/4=4'] Exploring Operation: 75-4=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 68, 5, 4, 36 ]
20
[ "68-4=64", "36+64=100", "100/5=20" ]
Current State: 20:[68, 5, 4, 36], Operations: [] Exploring Operation: 68-4=64, Resulting Numbers: [5, 36, 64] Generated Node #2: [5, 36, 64] from Operation: 68-4=64 Current State: 20:[5, 36, 64], Operations: ['68-4=64'] Exploring Operation: 36+64=100, Resulting Numbers: [5, 100] Generated Node #3: [5, 100] from Operation: 36+64=100 Current State: 20:[5, 100], Operations: ['68-4=64', '36+64=100'] Exploring Operation: 100/5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 83, 65, 78, 90 ]
77
[ "83-78=5", "65/5=13", "90-13=77" ]
Current State: 77:[83, 65, 78, 90], Operations: [] Exploring Operation: 83-78=5, Resulting Numbers: [65, 90, 5] Generated Node #2: [65, 90, 5] from Operation: 83-78=5 Current State: 77:[65, 90, 5], Operations: ['83-78=5'] Exploring Operation: 65/5=13, Resulting Numbers: [90, 13] Generated Node #3: [90, 13] from Operation: 65/5=13 Current State: 77:[90, 13], Operations: ['83-78=5', '65/5=13'] Exploring Operation: 90-13=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 36, 21, 14, 53 ]
52
[ "36-21=15", "14+53=67", "67-15=52" ]
Current State: 52:[36, 21, 14, 53], Operations: [] Exploring Operation: 36-21=15, Resulting Numbers: [14, 53, 15] Generated Node #2: [14, 53, 15] from Operation: 36-21=15 Current State: 52:[14, 53, 15], Operations: ['36-21=15'] Exploring Operation: 14+53=67, Resulting Numbers: [15, 67] Generated Node #3: [15, 67] from Operation: 14+53=67 Current State: 52:[15, 67], Operations: ['36-21=15', '14+53=67'] Exploring Operation: 67-15=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 28, 9, 35, 63 ]
61
[ "28+9=37", "35+63=98", "98-37=61" ]
Current State: 61:[28, 9, 35, 63], Operations: [] Exploring Operation: 28+9=37, Resulting Numbers: [35, 63, 37] Generated Node #2: [35, 63, 37] from Operation: 28+9=37 Current State: 61:[35, 63, 37], Operations: ['28+9=37'] Exploring Operation: 35+63=98, Resulting Numbers: [37, 98] Generated Node #3: [37, 98] from Operation: 35+63=98 Current State: 61:[37, 98], Operations: ['28+9=37', '35+63=98'] Exploring Operation: 98-37=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 83, 10, 58, 81 ]
53
[ "83-81=2", "10/2=5", "58-5=53" ]
Current State: 53:[83, 10, 58, 81], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [10, 58, 2] Generated Node #2: [10, 58, 2] from Operation: 83-81=2 Current State: 53:[10, 58, 2], Operations: ['83-81=2'] Exploring Operation: 10/2=5, Resulting Numbers: [58, 5] Generated Node #3: [58, 5] from Operation: 10/2=5 Current State: 53:[58, 5], Operations: ['83-81=2', '10/2=5'] Exploring Operation: 58-5=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 6, 4, 12, 43 ]
65
[ "6+4=10", "12+43=55", "10+55=65" ]
Current State: 65:[6, 4, 12, 43], Operations: [] Exploring Operation: 6+4=10, Resulting Numbers: [12, 43, 10] Generated Node #2: [12, 43, 10] from Operation: 6+4=10 Current State: 65:[12, 43, 10], Operations: ['6+4=10'] Exploring Operation: 12+43=55, Resulting Numbers: [10, 55] Generated Node #3: [10, 55] from Operation: 12+43=55 Current State: 65:[10, 55], Operations: ['6+4=10', '12+43=55'] Exploring Operation: 10+55=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 4, 8, 30, 36 ]
47
[ "36/4=9", "8+30=38", "9+38=47" ]
Current State: 47:[4, 8, 30, 36], Operations: [] Exploring Operation: 36/4=9, Resulting Numbers: [8, 30, 9] Generated Node #2: [8, 30, 9] from Operation: 36/4=9 Current State: 47:[8, 30, 9], Operations: ['36/4=9'] Exploring Operation: 8+30=38, Resulting Numbers: [9, 38] Generated Node #3: [9, 38] from Operation: 8+30=38 Current State: 47:[9, 38], Operations: ['36/4=9', '8+30=38'] Exploring Operation: 9+38=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 4, 46, 88, 35 ]
32
[ "4*88=352", "46-35=11", "352/11=32" ]
Current State: 32:[4, 46, 88, 35], Operations: [] Exploring Operation: 4*88=352, Resulting Numbers: [46, 35, 352] Generated Node #2: [46, 35, 352] from Operation: 4*88=352 Current State: 32:[46, 35, 352], Operations: ['4*88=352'] Exploring Operation: 46-35=11, Resulting Numbers: [352, 11] Generated Node #3: [352, 11] from Operation: 46-35=11 Current State: 32:[352, 11], Operations: ['4*88=352', '46-35=11'] Exploring Operation: 352/11=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 35, 27, 6, 32 ]
10
[ "35-27=8", "32/8=4", "6+4=10" ]
Current State: 10:[35, 27, 6, 32], Operations: [] Exploring Operation: 35-27=8, Resulting Numbers: [6, 32, 8] Generated Node #2: [6, 32, 8] from Operation: 35-27=8 Current State: 10:[6, 32, 8], Operations: ['35-27=8'] Exploring Operation: 32/8=4, Resulting Numbers: [6, 4] Generated Node #3: [6, 4] from Operation: 32/8=4 Current State: 10:[6, 4], Operations: ['35-27=8', '32/8=4'] Exploring Operation: 6+4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 21, 55, 72, 83 ]
45
[ "55-21=34", "83-72=11", "34+11=45" ]
Current State: 45:[21, 55, 72, 83], Operations: [] Exploring Operation: 55-21=34, Resulting Numbers: [72, 83, 34] Generated Node #2: [72, 83, 34] from Operation: 55-21=34 Current State: 45:[72, 83, 34], Operations: ['55-21=34'] Exploring Operation: 83-72=11, Resulting Numbers: [34, 11] Generated Node #3: [34, 11] from Operation: 83-72=11 Current State: 45:[34, 11], Operations: ['55-21=34', '83-72=11'] Exploring Operation: 34+11=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 8, 33, 63, 61 ]
17
[ "63-61=2", "8*2=16", "33-16=17" ]
Current State: 17:[8, 33, 63, 61], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [8, 33, 2] Generated Node #2: [8, 33, 2] from Operation: 63-61=2 Current State: 17:[8, 33, 2], Operations: ['63-61=2'] Exploring Operation: 8*2=16, Resulting Numbers: [33, 16] Generated Node #3: [33, 16] from Operation: 8*2=16 Current State: 17:[33, 16], Operations: ['63-61=2', '8*2=16'] Exploring Operation: 33-16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 54, 4, 5, 7 ]
48
[ "54-4=50", "7-5=2", "50-2=48" ]
Current State: 48:[54, 4, 5, 7], Operations: [] Exploring Operation: 54-4=50, Resulting Numbers: [5, 7, 50] Generated Node #2: [5, 7, 50] from Operation: 54-4=50 Current State: 48:[5, 7, 50], Operations: ['54-4=50'] Exploring Operation: 7-5=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 7-5=2 Current State: 48:[50, 2], Operations: ['54-4=50', '7-5=2'] Exploring Operation: 50-2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 80, 50, 27, 81 ]
70
[ "50*81=4050", "4050/27=150", "150-80=70" ]
Current State: 70:[80, 50, 27, 81], Operations: [] Exploring Operation: 50*81=4050, Resulting Numbers: [80, 27, 4050] Generated Node #2: [80, 27, 4050] from Operation: 50*81=4050 Current State: 70:[80, 27, 4050], Operations: ['50*81=4050'] Exploring Operation: 4050/27=150, Resulting Numbers: [80, 150] Generated Node #3: [80, 150] from Operation: 4050/27=150 Current State: 70:[80, 150], Operations: ['50*81=4050', '4050/27=150'] Exploring Operation: 150-80=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 89, 12, 94, 87 ]
100
[ "89-87=2", "12/2=6", "94+6=100" ]
Current State: 100:[89, 12, 94, 87], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [12, 94, 2] Generated Node #2: [12, 94, 2] from Operation: 89-87=2 Current State: 100:[12, 94, 2], Operations: ['89-87=2'] Exploring Operation: 12/2=6, Resulting Numbers: [94, 6] Generated Node #3: [94, 6] from Operation: 12/2=6 Current State: 100:[94, 6], Operations: ['89-87=2', '12/2=6'] Exploring Operation: 94+6=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 69, 2, 83, 26 ]
81
[ "69*2=138", "83-26=57", "138-57=81" ]
Current State: 81:[69, 2, 83, 26], Operations: [] Exploring Operation: 69*2=138, Resulting Numbers: [83, 26, 138] Generated Node #2: [83, 26, 138] from Operation: 69*2=138 Current State: 81:[83, 26, 138], Operations: ['69*2=138'] Exploring Operation: 83-26=57, Resulting Numbers: [138, 57] Generated Node #3: [138, 57] from Operation: 83-26=57 Current State: 81:[138, 57], Operations: ['69*2=138', '83-26=57'] Exploring Operation: 138-57=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 83, 21, 7, 56 ]
81
[ "83-56=27", "21/7=3", "27*3=81" ]
Current State: 81:[83, 21, 7, 56], Operations: [] Exploring Operation: 83-56=27, Resulting Numbers: [21, 7, 27] Generated Node #2: [21, 7, 27] from Operation: 83-56=27 Current State: 81:[21, 7, 27], Operations: ['83-56=27'] Exploring Operation: 21/7=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 21/7=3 Current State: 81:[27, 3], Operations: ['83-56=27', '21/7=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 63, 98, 91, 70 ]
79
[ "98-91=7", "63/7=9", "70+9=79" ]
Current State: 79:[63, 98, 91, 70], Operations: [] Exploring Operation: 98-91=7, Resulting Numbers: [63, 70, 7] Generated Node #2: [63, 70, 7] from Operation: 98-91=7 Current State: 79:[63, 70, 7], Operations: ['98-91=7'] Exploring Operation: 63/7=9, Resulting Numbers: [70, 9] Generated Node #3: [70, 9] from Operation: 63/7=9 Current State: 79:[70, 9], Operations: ['98-91=7', '63/7=9'] Exploring Operation: 70+9=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 64, 7, 49, 98 ]
85
[ "49+98=147", "147/7=21", "64+21=85" ]
Current State: 85:[64, 7, 49, 98], Operations: [] Exploring Operation: 49+98=147, Resulting Numbers: [64, 7, 147] Generated Node #2: [64, 7, 147] from Operation: 49+98=147 Current State: 85:[64, 7, 147], Operations: ['49+98=147'] Exploring Operation: 147/7=21, Resulting Numbers: [64, 21] Generated Node #3: [64, 21] from Operation: 147/7=21 Current State: 85:[64, 21], Operations: ['49+98=147', '147/7=21'] Exploring Operation: 64+21=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 6, 94, 52, 22 ]
26
[ "6+94=100", "52+22=74", "100-74=26" ]
Current State: 26:[6, 94, 52, 22], Operations: [] Exploring Operation: 6+94=100, Resulting Numbers: [52, 22, 100] Generated Node #2: [52, 22, 100] from Operation: 6+94=100 Current State: 26:[52, 22, 100], Operations: ['6+94=100'] Exploring Operation: 52+22=74, Resulting Numbers: [100, 74] Generated Node #3: [100, 74] from Operation: 52+22=74 Current State: 26:[100, 74], Operations: ['6+94=100', '52+22=74'] Exploring Operation: 100-74=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 2, 73, 92, 98 ]
70
[ "98-92=6", "6/2=3", "73-3=70" ]
Current State: 70:[2, 73, 92, 98], Operations: [] Exploring Operation: 98-92=6, Resulting Numbers: [2, 73, 6] Generated Node #2: [2, 73, 6] from Operation: 98-92=6 Current State: 70:[2, 73, 6], Operations: ['98-92=6'] Exploring Operation: 6/2=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 6/2=3 Current State: 70:[73, 3], Operations: ['98-92=6', '6/2=3'] Exploring Operation: 73-3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 88, 22, 78, 7 ]
50
[ "88/22=4", "7*4=28", "78-28=50" ]
Current State: 50:[88, 22, 78, 7], Operations: [] Exploring Operation: 88/22=4, Resulting Numbers: [78, 7, 4] Generated Node #2: [78, 7, 4] from Operation: 88/22=4 Current State: 50:[78, 7, 4], Operations: ['88/22=4'] Exploring Operation: 7*4=28, Resulting Numbers: [78, 28] Generated Node #3: [78, 28] from Operation: 7*4=28 Current State: 50:[78, 28], Operations: ['88/22=4', '7*4=28'] Exploring Operation: 78-28=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 1, 23, 44, 11 ]
31
[ "1+23=24", "44+11=55", "55-24=31" ]
Current State: 31:[1, 23, 44, 11], Operations: [] Exploring Operation: 1+23=24, Resulting Numbers: [44, 11, 24] Generated Node #2: [44, 11, 24] from Operation: 1+23=24 Current State: 31:[44, 11, 24], Operations: ['1+23=24'] Exploring Operation: 44+11=55, Resulting Numbers: [24, 55] Generated Node #3: [24, 55] from Operation: 44+11=55 Current State: 31:[24, 55], Operations: ['1+23=24', '44+11=55'] Exploring Operation: 55-24=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 82, 3, 84, 52 ]
51
[ "82+3=85", "84+52=136", "136-85=51" ]
Current State: 51:[82, 3, 84, 52], Operations: [] Exploring Operation: 82+3=85, Resulting Numbers: [84, 52, 85] Generated Node #2: [84, 52, 85] from Operation: 82+3=85 Current State: 51:[84, 52, 85], Operations: ['82+3=85'] Exploring Operation: 84+52=136, Resulting Numbers: [85, 136] Generated Node #3: [85, 136] from Operation: 84+52=136 Current State: 51:[85, 136], Operations: ['82+3=85', '84+52=136'] Exploring Operation: 136-85=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 57, 12, 11, 2 ]
32
[ "57-12=45", "11+2=13", "45-13=32" ]
Current State: 32:[57, 12, 11, 2], Operations: [] Exploring Operation: 57-12=45, Resulting Numbers: [11, 2, 45] Generated Node #2: [11, 2, 45] from Operation: 57-12=45 Current State: 32:[11, 2, 45], Operations: ['57-12=45'] Exploring Operation: 11+2=13, Resulting Numbers: [45, 13] Generated Node #3: [45, 13] from Operation: 11+2=13 Current State: 32:[45, 13], Operations: ['57-12=45', '11+2=13'] Exploring Operation: 45-13=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 82, 7, 14, 61 ]
20
[ "82*7=574", "574/14=41", "61-41=20" ]
Current State: 20:[82, 7, 14, 61], Operations: [] Exploring Operation: 82*7=574, Resulting Numbers: [14, 61, 574] Generated Node #2: [14, 61, 574] from Operation: 82*7=574 Current State: 20:[14, 61, 574], Operations: ['82*7=574'] Exploring Operation: 574/14=41, Resulting Numbers: [61, 41] Generated Node #3: [61, 41] from Operation: 574/14=41 Current State: 20:[61, 41], Operations: ['82*7=574', '574/14=41'] Exploring Operation: 61-41=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 56, 75, 30, 93 ]
33
[ "75+93=168", "168/56=3", "30+3=33" ]
Current State: 33:[56, 75, 30, 93], Operations: [] Exploring Operation: 75+93=168, Resulting Numbers: [56, 30, 168] Generated Node #2: [56, 30, 168] from Operation: 75+93=168 Current State: 33:[56, 30, 168], Operations: ['75+93=168'] Exploring Operation: 168/56=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 168/56=3 Current State: 33:[30, 3], Operations: ['75+93=168', '168/56=3'] Exploring Operation: 30+3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 14, 85, 15, 17 ]
85
[ "14*85=1190", "1190/17=70", "15+70=85" ]
Current State: 85:[14, 85, 15, 17], Operations: [] Exploring Operation: 14*85=1190, Resulting Numbers: [15, 17, 1190] Generated Node #2: [15, 17, 1190] from Operation: 14*85=1190 Current State: 85:[15, 17, 1190], Operations: ['14*85=1190'] Exploring Operation: 1190/17=70, Resulting Numbers: [15, 70] Generated Node #3: [15, 70] from Operation: 1190/17=70 Current State: 85:[15, 70], Operations: ['14*85=1190', '1190/17=70'] Exploring Operation: 15+70=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 32, 23, 15, 16 ]
64
[ "32*16=512", "23-15=8", "512/8=64" ]
Current State: 64:[32, 23, 15, 16], Operations: [] Exploring Operation: 32*16=512, Resulting Numbers: [23, 15, 512] Generated Node #2: [23, 15, 512] from Operation: 32*16=512 Current State: 64:[23, 15, 512], Operations: ['32*16=512'] Exploring Operation: 23-15=8, Resulting Numbers: [512, 8] Generated Node #3: [512, 8] from Operation: 23-15=8 Current State: 64:[512, 8], Operations: ['32*16=512', '23-15=8'] Exploring Operation: 512/8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 43, 66, 88, 51 ]
11
[ "88-43=45", "51-45=6", "66/6=11" ]
Current State: 11:[43, 66, 88, 51], Operations: [] Exploring Operation: 88-43=45, Resulting Numbers: [66, 51, 45] Generated Node #2: [66, 51, 45] from Operation: 88-43=45 Current State: 11:[66, 51, 45], Operations: ['88-43=45'] Exploring Operation: 51-45=6, Resulting Numbers: [66, 6] Generated Node #3: [66, 6] from Operation: 51-45=6 Current State: 11:[66, 6], Operations: ['88-43=45', '51-45=6'] Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 4, 73, 15, 45 ]
85
[ "4*45=180", "180/15=12", "73+12=85" ]
Current State: 85:[4, 73, 15, 45], Operations: [] Exploring Operation: 4*45=180, Resulting Numbers: [73, 15, 180] Generated Node #2: [73, 15, 180] from Operation: 4*45=180 Current State: 85:[73, 15, 180], Operations: ['4*45=180'] Exploring Operation: 180/15=12, Resulting Numbers: [73, 12] Generated Node #3: [73, 12] from Operation: 180/15=12 Current State: 85:[73, 12], Operations: ['4*45=180', '180/15=12'] Exploring Operation: 73+12=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 12, 7, 83, 49 ]
48
[ "12*7=84", "83+49=132", "132-84=48" ]
Current State: 48:[12, 7, 83, 49], Operations: [] Exploring Operation: 12*7=84, Resulting Numbers: [83, 49, 84] Generated Node #2: [83, 49, 84] from Operation: 12*7=84 Current State: 48:[83, 49, 84], Operations: ['12*7=84'] Exploring Operation: 83+49=132, Resulting Numbers: [84, 132] Generated Node #3: [84, 132] from Operation: 83+49=132 Current State: 48:[84, 132], Operations: ['12*7=84', '83+49=132'] Exploring Operation: 132-84=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 35, 54, 85, 11 ]
77
[ "54-35=19", "85+11=96", "96-19=77" ]
Current State: 77:[35, 54, 85, 11], Operations: [] Exploring Operation: 54-35=19, Resulting Numbers: [85, 11, 19] Generated Node #2: [85, 11, 19] from Operation: 54-35=19 Current State: 77:[85, 11, 19], Operations: ['54-35=19'] Exploring Operation: 85+11=96, Resulting Numbers: [19, 96] Generated Node #3: [19, 96] from Operation: 85+11=96 Current State: 77:[19, 96], Operations: ['54-35=19', '85+11=96'] Exploring Operation: 96-19=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 76, 36, 6, 12 ]
13
[ "76*6=456", "12+456=468", "468/36=13" ]
Current State: 13:[76, 36, 6, 12], Operations: [] Exploring Operation: 76*6=456, Resulting Numbers: [36, 12, 456] Generated Node #2: [36, 12, 456] from Operation: 76*6=456 Current State: 13:[36, 12, 456], Operations: ['76*6=456'] Exploring Operation: 12+456=468, Resulting Numbers: [36, 468] Generated Node #3: [36, 468] from Operation: 12+456=468 Current State: 13:[36, 468], Operations: ['76*6=456', '12+456=468'] Exploring Operation: 468/36=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 65, 19, 81, 65 ]
19
[ "65-65=0", "81*0=0", "19+0=19" ]
Current State: 19:[65, 19, 81, 65], Operations: [] Exploring Operation: 65-65=0, Resulting Numbers: [19, 81, 0] Generated Node #2: [19, 81, 0] from Operation: 65-65=0 Current State: 19:[19, 81, 0], Operations: ['65-65=0'] Exploring Operation: 81*0=0, Resulting Numbers: [19, 0] Generated Node #3: [19, 0] from Operation: 81*0=0 Current State: 19:[19, 0], Operations: ['65-65=0', '81*0=0'] Exploring Operation: 19+0=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 17, 35, 97, 19 ]
27
[ "19-17=2", "35*2=70", "97-70=27" ]
Current State: 27:[17, 35, 97, 19], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [35, 97, 2] Generated Node #2: [35, 97, 2] from Operation: 19-17=2 Current State: 27:[35, 97, 2], Operations: ['19-17=2'] Exploring Operation: 35*2=70, Resulting Numbers: [97, 70] Generated Node #3: [97, 70] from Operation: 35*2=70 Current State: 27:[97, 70], Operations: ['19-17=2', '35*2=70'] Exploring Operation: 97-70=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 57, 50, 3, 5 ]
14
[ "57-50=7", "5-3=2", "7*2=14" ]
Current State: 14:[57, 50, 3, 5], Operations: [] Exploring Operation: 57-50=7, Resulting Numbers: [3, 5, 7] Generated Node #2: [3, 5, 7] from Operation: 57-50=7 Current State: 14:[3, 5, 7], Operations: ['57-50=7'] Exploring Operation: 5-3=2, Resulting Numbers: [7, 2] Generated Node #3: [7, 2] from Operation: 5-3=2 Current State: 14:[7, 2], Operations: ['57-50=7', '5-3=2'] Exploring Operation: 7*2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 27, 25, 95, 10 ]
77
[ "27*25=675", "95+675=770", "770/10=77" ]
Current State: 77:[27, 25, 95, 10], Operations: [] Exploring Operation: 27*25=675, Resulting Numbers: [95, 10, 675] Generated Node #2: [95, 10, 675] from Operation: 27*25=675 Current State: 77:[95, 10, 675], Operations: ['27*25=675'] Exploring Operation: 95+675=770, Resulting Numbers: [10, 770] Generated Node #3: [10, 770] from Operation: 95+675=770 Current State: 77:[10, 770], Operations: ['27*25=675', '95+675=770'] Exploring Operation: 770/10=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 40, 3, 30, 32 ]
25
[ "40-3=37", "30+32=62", "62-37=25" ]
Current State: 25:[40, 3, 30, 32], Operations: [] Exploring Operation: 40-3=37, Resulting Numbers: [30, 32, 37] Generated Node #2: [30, 32, 37] from Operation: 40-3=37 Current State: 25:[30, 32, 37], Operations: ['40-3=37'] Exploring Operation: 30+32=62, Resulting Numbers: [37, 62] Generated Node #3: [37, 62] from Operation: 30+32=62 Current State: 25:[37, 62], Operations: ['40-3=37', '30+32=62'] Exploring Operation: 62-37=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 14, 73, 75, 9 ]
67
[ "75+9=84", "84/14=6", "73-6=67" ]
Current State: 67:[14, 73, 75, 9], Operations: [] Exploring Operation: 75+9=84, Resulting Numbers: [14, 73, 84] Generated Node #2: [14, 73, 84] from Operation: 75+9=84 Current State: 67:[14, 73, 84], Operations: ['75+9=84'] Exploring Operation: 84/14=6, Resulting Numbers: [73, 6] Generated Node #3: [73, 6] from Operation: 84/14=6 Current State: 67:[73, 6], Operations: ['75+9=84', '84/14=6'] Exploring Operation: 73-6=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 76, 56, 32, 18 ]
62
[ "76+32=108", "108/18=6", "56+6=62" ]
Current State: 62:[76, 56, 32, 18], Operations: [] Exploring Operation: 76+32=108, Resulting Numbers: [56, 18, 108] Generated Node #2: [56, 18, 108] from Operation: 76+32=108 Current State: 62:[56, 18, 108], Operations: ['76+32=108'] Exploring Operation: 108/18=6, Resulting Numbers: [56, 6] Generated Node #3: [56, 6] from Operation: 108/18=6 Current State: 62:[56, 6], Operations: ['76+32=108', '108/18=6'] Exploring Operation: 56+6=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 24, 21, 39, 59 ]
60
[ "24-21=3", "59-39=20", "3*20=60" ]
Current State: 60:[24, 21, 39, 59], Operations: [] Exploring Operation: 24-21=3, Resulting Numbers: [39, 59, 3] Generated Node #2: [39, 59, 3] from Operation: 24-21=3 Current State: 60:[39, 59, 3], Operations: ['24-21=3'] Exploring Operation: 59-39=20, Resulting Numbers: [3, 20] Generated Node #3: [3, 20] from Operation: 59-39=20 Current State: 60:[3, 20], Operations: ['24-21=3', '59-39=20'] Exploring Operation: 3*20=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 68, 36, 37, 37 ]
42
[ "68-36=32", "37+37=74", "74-32=42" ]
Current State: 42:[68, 36, 37, 37], Operations: [] Exploring Operation: 68-36=32, Resulting Numbers: [37, 37, 32] Generated Node #2: [37, 37, 32] from Operation: 68-36=32 Current State: 42:[37, 37, 32], Operations: ['68-36=32'] Exploring Operation: 37+37=74, Resulting Numbers: [32, 74] Generated Node #3: [32, 74] from Operation: 37+37=74 Current State: 42:[32, 74], Operations: ['68-36=32', '37+37=74'] Exploring Operation: 74-32=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 32, 30, 47, 60 ]
63
[ "32*30=960", "960/60=16", "47+16=63" ]
Current State: 63:[32, 30, 47, 60], Operations: [] Exploring Operation: 32*30=960, Resulting Numbers: [47, 60, 960] Generated Node #2: [47, 60, 960] from Operation: 32*30=960 Current State: 63:[47, 60, 960], Operations: ['32*30=960'] Exploring Operation: 960/60=16, Resulting Numbers: [47, 16] Generated Node #3: [47, 16] from Operation: 960/60=16 Current State: 63:[47, 16], Operations: ['32*30=960', '960/60=16'] Exploring Operation: 47+16=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 40, 5, 24, 10 ]
80
[ "40-24=16", "10-5=5", "16*5=80" ]
Current State: 80:[40, 5, 24, 10], Operations: [] Exploring Operation: 40-24=16, Resulting Numbers: [5, 10, 16] Generated Node #2: [5, 10, 16] from Operation: 40-24=16 Current State: 80:[5, 10, 16], Operations: ['40-24=16'] Exploring Operation: 10-5=5, Resulting Numbers: [16, 5] Generated Node #3: [16, 5] from Operation: 10-5=5 Current State: 80:[16, 5], Operations: ['40-24=16', '10-5=5'] Exploring Operation: 16*5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 48, 24, 26, 76 ]
96
[ "76-24=52", "48*52=2496", "2496/26=96" ]
Current State: 96:[48, 24, 26, 76], Operations: [] Exploring Operation: 76-24=52, Resulting Numbers: [48, 26, 52] Generated Node #2: [48, 26, 52] from Operation: 76-24=52 Current State: 96:[48, 26, 52], Operations: ['76-24=52'] Exploring Operation: 48*52=2496, Resulting Numbers: [26, 2496] Generated Node #3: [26, 2496] from Operation: 48*52=2496 Current State: 96:[26, 2496], Operations: ['76-24=52', '48*52=2496'] Exploring Operation: 2496/26=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 59, 60, 9, 50 ]
31
[ "60-50=10", "9*10=90", "90-59=31" ]
Current State: 31:[59, 60, 9, 50], Operations: [] Exploring Operation: 60-50=10, Resulting Numbers: [59, 9, 10] Generated Node #2: [59, 9, 10] from Operation: 60-50=10 Current State: 31:[59, 9, 10], Operations: ['60-50=10'] Exploring Operation: 9*10=90, Resulting Numbers: [59, 90] Generated Node #3: [59, 90] from Operation: 9*10=90 Current State: 31:[59, 90], Operations: ['60-50=10', '9*10=90'] Exploring Operation: 90-59=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 34, 7, 24, 79 ]
96
[ "34+7=41", "79-24=55", "41+55=96" ]
Current State: 96:[34, 7, 24, 79], Operations: [] Exploring Operation: 34+7=41, Resulting Numbers: [24, 79, 41] Generated Node #2: [24, 79, 41] from Operation: 34+7=41 Current State: 96:[24, 79, 41], Operations: ['34+7=41'] Exploring Operation: 79-24=55, Resulting Numbers: [41, 55] Generated Node #3: [41, 55] from Operation: 79-24=55 Current State: 96:[41, 55], Operations: ['34+7=41', '79-24=55'] Exploring Operation: 41+55=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 12, 54, 86, 57 ]
77
[ "12+54=66", "86+57=143", "143-66=77" ]
Current State: 77:[12, 54, 86, 57], Operations: [] Exploring Operation: 12+54=66, Resulting Numbers: [86, 57, 66] Generated Node #2: [86, 57, 66] from Operation: 12+54=66 Current State: 77:[86, 57, 66], Operations: ['12+54=66'] Exploring Operation: 86+57=143, Resulting Numbers: [66, 143] Generated Node #3: [66, 143] from Operation: 86+57=143 Current State: 77:[66, 143], Operations: ['12+54=66', '86+57=143'] Exploring Operation: 143-66=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 35, 72, 2, 70 ]
66
[ "72-35=37", "70-37=33", "2*33=66" ]
Current State: 66:[35, 72, 2, 70], Operations: [] Exploring Operation: 72-35=37, Resulting Numbers: [2, 70, 37] Generated Node #2: [2, 70, 37] from Operation: 72-35=37 Current State: 66:[2, 70, 37], Operations: ['72-35=37'] Exploring Operation: 70-37=33, Resulting Numbers: [2, 33] Generated Node #3: [2, 33] from Operation: 70-37=33 Current State: 66:[2, 33], Operations: ['72-35=37', '70-37=33'] Exploring Operation: 2*33=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 67, 52, 11, 96 ]
71
[ "96-52=44", "44/11=4", "67+4=71" ]
Current State: 71:[67, 52, 11, 96], Operations: [] Exploring Operation: 96-52=44, Resulting Numbers: [67, 11, 44] Generated Node #2: [67, 11, 44] from Operation: 96-52=44 Current State: 71:[67, 11, 44], Operations: ['96-52=44'] Exploring Operation: 44/11=4, Resulting Numbers: [67, 4] Generated Node #3: [67, 4] from Operation: 44/11=4 Current State: 71:[67, 4], Operations: ['96-52=44', '44/11=4'] Exploring Operation: 67+4=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 75, 40, 17, 6 ]
73
[ "40-6=34", "34/17=2", "75-2=73" ]
Current State: 73:[75, 40, 17, 6], Operations: [] Exploring Operation: 40-6=34, Resulting Numbers: [75, 17, 34] Generated Node #2: [75, 17, 34] from Operation: 40-6=34 Current State: 73:[75, 17, 34], Operations: ['40-6=34'] Exploring Operation: 34/17=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 34/17=2 Current State: 73:[75, 2], Operations: ['40-6=34', '34/17=2'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 6, 50, 62, 93 ]
87
[ "6+50=56", "93-62=31", "56+31=87" ]
Current State: 87:[6, 50, 62, 93], Operations: [] Exploring Operation: 6+50=56, Resulting Numbers: [62, 93, 56] Generated Node #2: [62, 93, 56] from Operation: 6+50=56 Current State: 87:[62, 93, 56], Operations: ['6+50=56'] Exploring Operation: 93-62=31, Resulting Numbers: [56, 31] Generated Node #3: [56, 31] from Operation: 93-62=31 Current State: 87:[56, 31], Operations: ['6+50=56', '93-62=31'] Exploring Operation: 56+31=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 40, 29, 34, 43 ]
20
[ "40-29=11", "43-34=9", "11+9=20" ]
Current State: 20:[40, 29, 34, 43], Operations: [] Exploring Operation: 40-29=11, Resulting Numbers: [34, 43, 11] Generated Node #2: [34, 43, 11] from Operation: 40-29=11 Current State: 20:[34, 43, 11], Operations: ['40-29=11'] Exploring Operation: 43-34=9, Resulting Numbers: [11, 9] Generated Node #3: [11, 9] from Operation: 43-34=9 Current State: 20:[11, 9], Operations: ['40-29=11', '43-34=9'] Exploring Operation: 11+9=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 63, 98, 9, 84 ]
68
[ "63+98=161", "9+84=93", "161-93=68" ]
Current State: 68:[63, 98, 9, 84], Operations: [] Exploring Operation: 63+98=161, Resulting Numbers: [9, 84, 161] Generated Node #2: [9, 84, 161] from Operation: 63+98=161 Current State: 68:[9, 84, 161], Operations: ['63+98=161'] Exploring Operation: 9+84=93, Resulting Numbers: [161, 93] Generated Node #3: [161, 93] from Operation: 9+84=93 Current State: 68:[161, 93], Operations: ['63+98=161', '9+84=93'] Exploring Operation: 161-93=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 33, 35, 58, 3 ]
34
[ "33/3=11", "58-35=23", "11+23=34" ]
Current State: 34:[33, 35, 58, 3], Operations: [] Exploring Operation: 33/3=11, Resulting Numbers: [35, 58, 11] Generated Node #2: [35, 58, 11] from Operation: 33/3=11 Current State: 34:[35, 58, 11], Operations: ['33/3=11'] Exploring Operation: 58-35=23, Resulting Numbers: [11, 23] Generated Node #3: [11, 23] from Operation: 58-35=23 Current State: 34:[11, 23], Operations: ['33/3=11', '58-35=23'] Exploring Operation: 11+23=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 97, 44, 9, 64 ]
20
[ "97-44=53", "9+64=73", "73-53=20" ]
Current State: 20:[97, 44, 9, 64], Operations: [] Exploring Operation: 97-44=53, Resulting Numbers: [9, 64, 53] Generated Node #2: [9, 64, 53] from Operation: 97-44=53 Current State: 20:[9, 64, 53], Operations: ['97-44=53'] Exploring Operation: 9+64=73, Resulting Numbers: [53, 73] Generated Node #3: [53, 73] from Operation: 9+64=73 Current State: 20:[53, 73], Operations: ['97-44=53', '9+64=73'] Exploring Operation: 73-53=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 50, 25, 10, 88 ]
23
[ "50+25=75", "10+88=98", "98-75=23" ]
Current State: 23:[50, 25, 10, 88], Operations: [] Exploring Operation: 50+25=75, Resulting Numbers: [10, 88, 75] Generated Node #2: [10, 88, 75] from Operation: 50+25=75 Current State: 23:[10, 88, 75], Operations: ['50+25=75'] Exploring Operation: 10+88=98, Resulting Numbers: [75, 98] Generated Node #3: [75, 98] from Operation: 10+88=98 Current State: 23:[75, 98], Operations: ['50+25=75', '10+88=98'] Exploring Operation: 98-75=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 98, 6, 5, 69 ]
18
[ "98-6=92", "5+69=74", "92-74=18" ]
Current State: 18:[98, 6, 5, 69], Operations: [] Exploring Operation: 98-6=92, Resulting Numbers: [5, 69, 92] Generated Node #2: [5, 69, 92] from Operation: 98-6=92 Current State: 18:[5, 69, 92], Operations: ['98-6=92'] Exploring Operation: 5+69=74, Resulting Numbers: [92, 74] Generated Node #3: [92, 74] from Operation: 5+69=74 Current State: 18:[92, 74], Operations: ['98-6=92', '5+69=74'] Exploring Operation: 92-74=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 94, 74, 18, 7 ]
58
[ "94+18=112", "112/7=16", "74-16=58" ]
Current State: 58:[94, 74, 18, 7], Operations: [] Exploring Operation: 94+18=112, Resulting Numbers: [74, 7, 112] Generated Node #2: [74, 7, 112] from Operation: 94+18=112 Current State: 58:[74, 7, 112], Operations: ['94+18=112'] Exploring Operation: 112/7=16, Resulting Numbers: [74, 16] Generated Node #3: [74, 16] from Operation: 112/7=16 Current State: 58:[74, 16], Operations: ['94+18=112', '112/7=16'] Exploring Operation: 74-16=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 12, 26, 6, 7 ]
28
[ "26-12=14", "6*7=42", "42-14=28" ]
Current State: 28:[12, 26, 6, 7], Operations: [] Exploring Operation: 26-12=14, Resulting Numbers: [6, 7, 14] Generated Node #2: [6, 7, 14] from Operation: 26-12=14 Current State: 28:[6, 7, 14], Operations: ['26-12=14'] Exploring Operation: 6*7=42, Resulting Numbers: [14, 42] Generated Node #3: [14, 42] from Operation: 6*7=42 Current State: 28:[14, 42], Operations: ['26-12=14', '6*7=42'] Exploring Operation: 42-14=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 18, 21, 10, 11 ]
49
[ "18-11=7", "10*7=70", "70-21=49" ]
Current State: 49:[18, 21, 10, 11], Operations: [] Exploring Operation: 18-11=7, Resulting Numbers: [21, 10, 7] Generated Node #2: [21, 10, 7] from Operation: 18-11=7 Current State: 49:[21, 10, 7], Operations: ['18-11=7'] Exploring Operation: 10*7=70, Resulting Numbers: [21, 70] Generated Node #3: [21, 70] from Operation: 10*7=70 Current State: 49:[21, 70], Operations: ['18-11=7', '10*7=70'] Exploring Operation: 70-21=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 11, 44, 84, 72 ]
93
[ "44/11=4", "84/4=21", "72+21=93" ]
Current State: 93:[11, 44, 84, 72], Operations: [] Exploring Operation: 44/11=4, Resulting Numbers: [84, 72, 4] Generated Node #2: [84, 72, 4] from Operation: 44/11=4 Current State: 93:[84, 72, 4], Operations: ['44/11=4'] Exploring Operation: 84/4=21, Resulting Numbers: [72, 21] Generated Node #3: [72, 21] from Operation: 84/4=21 Current State: 93:[72, 21], Operations: ['44/11=4', '84/4=21'] Exploring Operation: 72+21=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 5, 3, 30, 96 ]
82
[ "5*30=150", "96+150=246", "246/3=82" ]
Current State: 82:[5, 3, 30, 96], Operations: [] Exploring Operation: 5*30=150, Resulting Numbers: [3, 96, 150] Generated Node #2: [3, 96, 150] from Operation: 5*30=150 Current State: 82:[3, 96, 150], Operations: ['5*30=150'] Exploring Operation: 96+150=246, Resulting Numbers: [3, 246] Generated Node #3: [3, 246] from Operation: 96+150=246 Current State: 82:[3, 246], Operations: ['5*30=150', '96+150=246'] Exploring Operation: 246/3=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 14, 68, 2, 96 ]
68
[ "14+68=82", "2*82=164", "164-96=68" ]
Current State: 68:[14, 68, 2, 96], Operations: [] Exploring Operation: 14+68=82, Resulting Numbers: [2, 96, 82] Generated Node #2: [2, 96, 82] from Operation: 14+68=82 Current State: 68:[2, 96, 82], Operations: ['14+68=82'] Exploring Operation: 2*82=164, Resulting Numbers: [96, 164] Generated Node #3: [96, 164] from Operation: 2*82=164 Current State: 68:[96, 164], Operations: ['14+68=82', '2*82=164'] Exploring Operation: 164-96=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 66, 25, 41, 16 ]
39
[ "66-16=50", "50/25=2", "41-2=39" ]
Current State: 39:[66, 25, 41, 16], Operations: [] Exploring Operation: 66-16=50, Resulting Numbers: [25, 41, 50] Generated Node #2: [25, 41, 50] from Operation: 66-16=50 Current State: 39:[25, 41, 50], Operations: ['66-16=50'] Exploring Operation: 50/25=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 50/25=2 Current State: 39:[41, 2], Operations: ['66-16=50', '50/25=2'] Exploring Operation: 41-2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 24, 16, 56, 46 ]
70
[ "46-16=30", "56*30=1680", "1680/24=70" ]
Current State: 70:[24, 16, 56, 46], Operations: [] Exploring Operation: 46-16=30, Resulting Numbers: [24, 56, 30] Generated Node #2: [24, 56, 30] from Operation: 46-16=30 Current State: 70:[24, 56, 30], Operations: ['46-16=30'] Exploring Operation: 56*30=1680, Resulting Numbers: [24, 1680] Generated Node #3: [24, 1680] from Operation: 56*30=1680 Current State: 70:[24, 1680], Operations: ['46-16=30', '56*30=1680'] Exploring Operation: 1680/24=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 10, 16, 46, 39 ]
59
[ "10+16=26", "46+39=85", "85-26=59" ]
Current State: 59:[10, 16, 46, 39], Operations: [] Exploring Operation: 10+16=26, Resulting Numbers: [46, 39, 26] Generated Node #2: [46, 39, 26] from Operation: 10+16=26 Current State: 59:[46, 39, 26], Operations: ['10+16=26'] Exploring Operation: 46+39=85, Resulting Numbers: [26, 85] Generated Node #3: [26, 85] from Operation: 46+39=85 Current State: 59:[26, 85], Operations: ['10+16=26', '46+39=85'] Exploring Operation: 85-26=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 97, 49, 12, 55 ]
51
[ "97-49=48", "48/12=4", "55-4=51" ]
Current State: 51:[97, 49, 12, 55], Operations: [] Exploring Operation: 97-49=48, Resulting Numbers: [12, 55, 48] Generated Node #2: [12, 55, 48] from Operation: 97-49=48 Current State: 51:[12, 55, 48], Operations: ['97-49=48'] Exploring Operation: 48/12=4, Resulting Numbers: [55, 4] Generated Node #3: [55, 4] from Operation: 48/12=4 Current State: 51:[55, 4], Operations: ['97-49=48', '48/12=4'] Exploring Operation: 55-4=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 48, 35, 21, 24 ]
88
[ "35*24=840", "840/21=40", "48+40=88" ]
Current State: 88:[48, 35, 21, 24], Operations: [] Exploring Operation: 35*24=840, Resulting Numbers: [48, 21, 840] Generated Node #2: [48, 21, 840] from Operation: 35*24=840 Current State: 88:[48, 21, 840], Operations: ['35*24=840'] Exploring Operation: 840/21=40, Resulting Numbers: [48, 40] Generated Node #3: [48, 40] from Operation: 840/21=40 Current State: 88:[48, 40], Operations: ['35*24=840', '840/21=40'] Exploring Operation: 48+40=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 89, 20, 22, 88 ]
90
[ "22-20=2", "89*2=178", "178-88=90" ]
Current State: 90:[89, 20, 22, 88], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [89, 88, 2] Generated Node #2: [89, 88, 2] from Operation: 22-20=2 Current State: 90:[89, 88, 2], Operations: ['22-20=2'] Exploring Operation: 89*2=178, Resulting Numbers: [88, 178] Generated Node #3: [88, 178] from Operation: 89*2=178 Current State: 90:[88, 178], Operations: ['22-20=2', '89*2=178'] Exploring Operation: 178-88=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 89, 51, 5, 99 ]
49
[ "99-89=10", "10/5=2", "51-2=49" ]
Current State: 49:[89, 51, 5, 99], Operations: [] Exploring Operation: 99-89=10, Resulting Numbers: [51, 5, 10] Generated Node #2: [51, 5, 10] from Operation: 99-89=10 Current State: 49:[51, 5, 10], Operations: ['99-89=10'] Exploring Operation: 10/5=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 10/5=2 Current State: 49:[51, 2], Operations: ['99-89=10', '10/5=2'] Exploring Operation: 51-2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 71, 63, 14, 82 ]
66
[ "71+63=134", "82-14=68", "134-68=66" ]
Current State: 66:[71, 63, 14, 82], Operations: [] Exploring Operation: 71+63=134, Resulting Numbers: [14, 82, 134] Generated Node #2: [14, 82, 134] from Operation: 71+63=134 Current State: 66:[14, 82, 134], Operations: ['71+63=134'] Exploring Operation: 82-14=68, Resulting Numbers: [134, 68] Generated Node #3: [134, 68] from Operation: 82-14=68 Current State: 66:[134, 68], Operations: ['71+63=134', '82-14=68'] Exploring Operation: 134-68=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 30, 39, 21, 34 ]
26
[ "30+21=51", "39*34=1326", "1326/51=26" ]
Current State: 26:[30, 39, 21, 34], Operations: [] Exploring Operation: 30+21=51, Resulting Numbers: [39, 34, 51] Generated Node #2: [39, 34, 51] from Operation: 30+21=51 Current State: 26:[39, 34, 51], Operations: ['30+21=51'] Exploring Operation: 39*34=1326, Resulting Numbers: [51, 1326] Generated Node #3: [51, 1326] from Operation: 39*34=1326 Current State: 26:[51, 1326], Operations: ['30+21=51', '39*34=1326'] Exploring Operation: 1326/51=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 46, 46, 76, 34 ]
60
[ "46*46=2116", "2116-76=2040", "2040/34=60" ]
Current State: 60:[46, 46, 76, 34], Operations: [] Exploring Operation: 46*46=2116, Resulting Numbers: [76, 34, 2116] Generated Node #2: [76, 34, 2116] from Operation: 46*46=2116 Current State: 60:[76, 34, 2116], Operations: ['46*46=2116'] Exploring Operation: 2116-76=2040, Resulting Numbers: [34, 2040] Generated Node #3: [34, 2040] from Operation: 2116-76=2040 Current State: 60:[34, 2040], Operations: ['46*46=2116', '2116-76=2040'] Exploring Operation: 2040/34=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 9, 61, 97, 58 ]
100
[ "61-58=3", "9/3=3", "97+3=100" ]
Current State: 100:[9, 61, 97, 58], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [9, 97, 3] Generated Node #2: [9, 97, 3] from Operation: 61-58=3 Current State: 100:[9, 97, 3], Operations: ['61-58=3'] Exploring Operation: 9/3=3, Resulting Numbers: [97, 3] Generated Node #3: [97, 3] from Operation: 9/3=3 Current State: 100:[97, 3], Operations: ['61-58=3', '9/3=3'] Exploring Operation: 97+3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 74, 45, 72, 63 ]
81
[ "74-72=2", "63*2=126", "126-45=81" ]
Current State: 81:[74, 45, 72, 63], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [45, 63, 2] Generated Node #2: [45, 63, 2] from Operation: 74-72=2 Current State: 81:[45, 63, 2], Operations: ['74-72=2'] Exploring Operation: 63*2=126, Resulting Numbers: [45, 126] Generated Node #3: [45, 126] from Operation: 63*2=126 Current State: 81:[45, 126], Operations: ['74-72=2', '63*2=126'] Exploring Operation: 126-45=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 72, 89, 70, 70 ]
89
[ "70-70=0", "72*0=0", "89+0=89" ]
Current State: 89:[72, 89, 70, 70], Operations: [] Exploring Operation: 70-70=0, Resulting Numbers: [72, 89, 0] Generated Node #2: [72, 89, 0] from Operation: 70-70=0 Current State: 89:[72, 89, 0], Operations: ['70-70=0'] Exploring Operation: 72*0=0, Resulting Numbers: [89, 0] Generated Node #3: [89, 0] from Operation: 72*0=0 Current State: 89:[89, 0], Operations: ['70-70=0', '72*0=0'] Exploring Operation: 89+0=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 12, 3, 56, 27 ]
43
[ "12+27=39", "39/3=13", "56-13=43" ]
Current State: 43:[12, 3, 56, 27], Operations: [] Exploring Operation: 12+27=39, Resulting Numbers: [3, 56, 39] Generated Node #2: [3, 56, 39] from Operation: 12+27=39 Current State: 43:[3, 56, 39], Operations: ['12+27=39'] Exploring Operation: 39/3=13, Resulting Numbers: [56, 13] Generated Node #3: [56, 13] from Operation: 39/3=13 Current State: 43:[56, 13], Operations: ['12+27=39', '39/3=13'] Exploring Operation: 56-13=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 97, 66, 80, 28 ]
55
[ "97+66=163", "80+28=108", "163-108=55" ]
Current State: 55:[97, 66, 80, 28], Operations: [] Exploring Operation: 97+66=163, Resulting Numbers: [80, 28, 163] Generated Node #2: [80, 28, 163] from Operation: 97+66=163 Current State: 55:[80, 28, 163], Operations: ['97+66=163'] Exploring Operation: 80+28=108, Resulting Numbers: [163, 108] Generated Node #3: [163, 108] from Operation: 80+28=108 Current State: 55:[163, 108], Operations: ['97+66=163', '80+28=108'] Exploring Operation: 163-108=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 66, 12, 72, 84 ]
26
[ "72-66=6", "84/6=14", "12+14=26" ]
Current State: 26:[66, 12, 72, 84], Operations: [] Exploring Operation: 72-66=6, Resulting Numbers: [12, 84, 6] Generated Node #2: [12, 84, 6] from Operation: 72-66=6 Current State: 26:[12, 84, 6], Operations: ['72-66=6'] Exploring Operation: 84/6=14, Resulting Numbers: [12, 14] Generated Node #3: [12, 14] from Operation: 84/6=14 Current State: 26:[12, 14], Operations: ['72-66=6', '84/6=14'] Exploring Operation: 12+14=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 90, 98, 2, 80 ]
99
[ "98-80=18", "18/2=9", "90+9=99" ]
Current State: 99:[90, 98, 2, 80], Operations: [] Exploring Operation: 98-80=18, Resulting Numbers: [90, 2, 18] Generated Node #2: [90, 2, 18] from Operation: 98-80=18 Current State: 99:[90, 2, 18], Operations: ['98-80=18'] Exploring Operation: 18/2=9, Resulting Numbers: [90, 9] Generated Node #3: [90, 9] from Operation: 18/2=9 Current State: 99:[90, 9], Operations: ['98-80=18', '18/2=9'] Exploring Operation: 90+9=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 34, 51, 3, 15 ]
73
[ "34+51=85", "15-3=12", "85-12=73" ]
Current State: 73:[34, 51, 3, 15], Operations: [] Exploring Operation: 34+51=85, Resulting Numbers: [3, 15, 85] Generated Node #2: [3, 15, 85] from Operation: 34+51=85 Current State: 73:[3, 15, 85], Operations: ['34+51=85'] Exploring Operation: 15-3=12, Resulting Numbers: [85, 12] Generated Node #3: [85, 12] from Operation: 15-3=12 Current State: 73:[85, 12], Operations: ['34+51=85', '15-3=12'] Exploring Operation: 85-12=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 51, 66, 22, 63 ]
39
[ "66-63=3", "51/3=17", "22+17=39" ]
Current State: 39:[51, 66, 22, 63], Operations: [] Exploring Operation: 66-63=3, Resulting Numbers: [51, 22, 3] Generated Node #2: [51, 22, 3] from Operation: 66-63=3 Current State: 39:[51, 22, 3], Operations: ['66-63=3'] Exploring Operation: 51/3=17, Resulting Numbers: [22, 17] Generated Node #3: [22, 17] from Operation: 51/3=17 Current State: 39:[22, 17], Operations: ['66-63=3', '51/3=17'] Exploring Operation: 22+17=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 12, 84, 2, 97 ]
14
[ "97-84=13", "2*13=26", "26-12=14" ]
Current State: 14:[12, 84, 2, 97], Operations: [] Exploring Operation: 97-84=13, Resulting Numbers: [12, 2, 13] Generated Node #2: [12, 2, 13] from Operation: 97-84=13 Current State: 14:[12, 2, 13], Operations: ['97-84=13'] Exploring Operation: 2*13=26, Resulting Numbers: [12, 26] Generated Node #3: [12, 26] from Operation: 2*13=26 Current State: 14:[12, 26], Operations: ['97-84=13', '2*13=26'] Exploring Operation: 26-12=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4