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
[ 96, 62, 81, 77 ]
86
[ "81-77=4", "96/4=24", "62+24=86" ]
Current State: 86:[96, 62, 81, 77], Operations: [] Exploring Operation: 81-77=4, Resulting Numbers: [96, 62, 4] Generated Node #2: [96, 62, 4] from Operation: 81-77=4 Current State: 86:[96, 62, 4], Operations: ['81-77=4'] Exploring Operation: 96/4=24, Resulting Numbers: [62, 24] Generated Node #3: [62, 24] from Operation: 96/4=24 Current State: 86:[62, 24], Operations: ['81-77=4', '96/4=24'] Exploring Operation: 62+24=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 70, 43, 57, 71 ]
38
[ "71-57=14", "70/14=5", "43-5=38" ]
Current State: 38:[70, 43, 57, 71], Operations: [] Exploring Operation: 71-57=14, Resulting Numbers: [70, 43, 14] Generated Node #2: [70, 43, 14] from Operation: 71-57=14 Current State: 38:[70, 43, 14], Operations: ['71-57=14'] Exploring Operation: 70/14=5, Resulting Numbers: [43, 5] Generated Node #3: [43, 5] from Operation: 70/14=5 Current State: 38:[43, 5], Operations: ['71-57=14', '70/14=5'] Exploring Operation: 43-5=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 89, 49, 40, 46 ]
37
[ "89+49=138", "138/46=3", "40-3=37" ]
Current State: 37:[89, 49, 40, 46], Operations: [] Exploring Operation: 89+49=138, Resulting Numbers: [40, 46, 138] Generated Node #2: [40, 46, 138] from Operation: 89+49=138 Current State: 37:[40, 46, 138], Operations: ['89+49=138'] Exploring Operation: 138/46=3, Resulting Numbers: [40, 3] Generated Node #3: [40, 3] from Operation: 138/46=3 Current State: 37:[40, 3], Operations: ['89+49=138', '138/46=3'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 2, 98, 61, 31 ]
19
[ "98/2=49", "61-31=30", "49-30=19" ]
Current State: 19:[2, 98, 61, 31], Operations: [] Exploring Operation: 98/2=49, Resulting Numbers: [61, 31, 49] Generated Node #2: [61, 31, 49] from Operation: 98/2=49 Current State: 19:[61, 31, 49], Operations: ['98/2=49'] Exploring Operation: 61-31=30, Resulting Numbers: [49, 30] Generated Node #3: [49, 30] from Operation: 61-31=30 Current State: 19:[49, 30], Operations: ['98/2=49', '61-31=30'] Exploring Operation: 49-30=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 45, 63, 83, 79 ]
14
[ "63-45=18", "83-79=4", "18-4=14" ]
Current State: 14:[45, 63, 83, 79], Operations: [] Exploring Operation: 63-45=18, Resulting Numbers: [83, 79, 18] Generated Node #2: [83, 79, 18] from Operation: 63-45=18 Current State: 14:[83, 79, 18], Operations: ['63-45=18'] Exploring Operation: 83-79=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 83-79=4 Current State: 14:[18, 4], Operations: ['63-45=18', '83-79=4'] Exploring Operation: 18-4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 58, 12, 8, 18 ]
36
[ "58-12=46", "18-8=10", "46-10=36" ]
Current State: 36:[58, 12, 8, 18], Operations: [] Exploring Operation: 58-12=46, Resulting Numbers: [8, 18, 46] Generated Node #2: [8, 18, 46] from Operation: 58-12=46 Current State: 36:[8, 18, 46], Operations: ['58-12=46'] Exploring Operation: 18-8=10, Resulting Numbers: [46, 10] Generated Node #3: [46, 10] from Operation: 18-8=10 Current State: 36:[46, 10], Operations: ['58-12=46', '18-8=10'] Exploring Operation: 46-10=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 14, 14, 33, 17 ]
44
[ "14+14=28", "33-17=16", "28+16=44" ]
Current State: 44:[14, 14, 33, 17], Operations: [] Exploring Operation: 14+14=28, Resulting Numbers: [33, 17, 28] Generated Node #2: [33, 17, 28] from Operation: 14+14=28 Current State: 44:[33, 17, 28], Operations: ['14+14=28'] Exploring Operation: 33-17=16, Resulting Numbers: [28, 16] Generated Node #3: [28, 16] from Operation: 33-17=16 Current State: 44:[28, 16], Operations: ['14+14=28', '33-17=16'] Exploring Operation: 28+16=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 88, 73, 31, 84 ]
86
[ "73-31=42", "84/42=2", "88-2=86" ]
Current State: 86:[88, 73, 31, 84], Operations: [] Exploring Operation: 73-31=42, Resulting Numbers: [88, 84, 42] Generated Node #2: [88, 84, 42] from Operation: 73-31=42 Current State: 86:[88, 84, 42], Operations: ['73-31=42'] Exploring Operation: 84/42=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 84/42=2 Current State: 86:[88, 2], Operations: ['73-31=42', '84/42=2'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 99, 52, 69, 95 ]
56
[ "99-95=4", "52/4=13", "69-13=56" ]
Current State: 56:[99, 52, 69, 95], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [52, 69, 4] Generated Node #2: [52, 69, 4] from Operation: 99-95=4 Current State: 56:[52, 69, 4], Operations: ['99-95=4'] Exploring Operation: 52/4=13, Resulting Numbers: [69, 13] Generated Node #3: [69, 13] from Operation: 52/4=13 Current State: 56:[69, 13], Operations: ['99-95=4', '52/4=13'] Exploring Operation: 69-13=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 15, 41, 58, 5 ]
20
[ "15/5=3", "58-41=17", "3+17=20" ]
Current State: 20:[15, 41, 58, 5], Operations: [] Exploring Operation: 15/5=3, Resulting Numbers: [41, 58, 3] Generated Node #2: [41, 58, 3] from Operation: 15/5=3 Current State: 20:[41, 58, 3], Operations: ['15/5=3'] Exploring Operation: 58-41=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 58-41=17 Current State: 20:[3, 17], Operations: ['15/5=3', '58-41=17'] Exploring Operation: 3+17=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 57, 8, 24, 4 ]
53
[ "24-8=16", "16/4=4", "57-4=53" ]
Current State: 53:[57, 8, 24, 4], Operations: [] Exploring Operation: 24-8=16, Resulting Numbers: [57, 4, 16] Generated Node #2: [57, 4, 16] from Operation: 24-8=16 Current State: 53:[57, 4, 16], Operations: ['24-8=16'] Exploring Operation: 16/4=4, Resulting Numbers: [57, 4] Generated Node #3: [57, 4] from Operation: 16/4=4 Current State: 53:[57, 4], Operations: ['24-8=16', '16/4=4'] Exploring Operation: 57-4=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 3, 65, 21, 19 ]
65
[ "21-3=18", "19-18=1", "65*1=65" ]
Current State: 65:[3, 65, 21, 19], Operations: [] Exploring Operation: 21-3=18, Resulting Numbers: [65, 19, 18] Generated Node #2: [65, 19, 18] from Operation: 21-3=18 Current State: 65:[65, 19, 18], Operations: ['21-3=18'] Exploring Operation: 19-18=1, Resulting Numbers: [65, 1] Generated Node #3: [65, 1] from Operation: 19-18=1 Current State: 65:[65, 1], Operations: ['21-3=18', '19-18=1'] Exploring Operation: 65*1=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 71, 26, 2, 29 ]
24
[ "71+29=100", "100/2=50", "50-26=24" ]
Current State: 24:[71, 26, 2, 29], Operations: [] Exploring Operation: 71+29=100, Resulting Numbers: [26, 2, 100] Generated Node #2: [26, 2, 100] from Operation: 71+29=100 Current State: 24:[26, 2, 100], Operations: ['71+29=100'] Exploring Operation: 100/2=50, Resulting Numbers: [26, 50] Generated Node #3: [26, 50] from Operation: 100/2=50 Current State: 24:[26, 50], Operations: ['71+29=100', '100/2=50'] Exploring Operation: 50-26=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 32, 63, 3, 24 ]
10
[ "63-32=31", "24-3=21", "31-21=10" ]
Current State: 10:[32, 63, 3, 24], Operations: [] Exploring Operation: 63-32=31, Resulting Numbers: [3, 24, 31] Generated Node #2: [3, 24, 31] from Operation: 63-32=31 Current State: 10:[3, 24, 31], Operations: ['63-32=31'] Exploring Operation: 24-3=21, Resulting Numbers: [31, 21] Generated Node #3: [31, 21] from Operation: 24-3=21 Current State: 10:[31, 21], Operations: ['63-32=31', '24-3=21'] Exploring Operation: 31-21=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 4, 69, 72, 31 ]
31
[ "4+69=73", "73-72=1", "31*1=31" ]
Current State: 31:[4, 69, 72, 31], Operations: [] Exploring Operation: 4+69=73, Resulting Numbers: [72, 31, 73] Generated Node #2: [72, 31, 73] from Operation: 4+69=73 Current State: 31:[72, 31, 73], Operations: ['4+69=73'] Exploring Operation: 73-72=1, Resulting Numbers: [31, 1] Generated Node #3: [31, 1] from Operation: 73-72=1 Current State: 31:[31, 1], Operations: ['4+69=73', '73-72=1'] Exploring Operation: 31*1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 50, 64, 85, 61 ]
45
[ "50+85=135", "64-61=3", "135/3=45" ]
Current State: 45:[50, 64, 85, 61], Operations: [] Exploring Operation: 50+85=135, Resulting Numbers: [64, 61, 135] Generated Node #2: [64, 61, 135] from Operation: 50+85=135 Current State: 45:[64, 61, 135], Operations: ['50+85=135'] Exploring Operation: 64-61=3, Resulting Numbers: [135, 3] Generated Node #3: [135, 3] from Operation: 64-61=3 Current State: 45:[135, 3], Operations: ['50+85=135', '64-61=3'] Exploring Operation: 135/3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 19, 25, 62, 14 ]
63
[ "19-14=5", "25*5=125", "125-62=63" ]
Current State: 63:[19, 25, 62, 14], Operations: [] Exploring Operation: 19-14=5, Resulting Numbers: [25, 62, 5] Generated Node #2: [25, 62, 5] from Operation: 19-14=5 Current State: 63:[25, 62, 5], Operations: ['19-14=5'] Exploring Operation: 25*5=125, Resulting Numbers: [62, 125] Generated Node #3: [62, 125] from Operation: 25*5=125 Current State: 63:[62, 125], Operations: ['19-14=5', '25*5=125'] Exploring Operation: 125-62=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 24, 81, 58, 9 ]
56
[ "24+81=105", "58-9=49", "105-49=56" ]
Current State: 56:[24, 81, 58, 9], Operations: [] Exploring Operation: 24+81=105, Resulting Numbers: [58, 9, 105] Generated Node #2: [58, 9, 105] from Operation: 24+81=105 Current State: 56:[58, 9, 105], Operations: ['24+81=105'] Exploring Operation: 58-9=49, Resulting Numbers: [105, 49] Generated Node #3: [105, 49] from Operation: 58-9=49 Current State: 56:[105, 49], Operations: ['24+81=105', '58-9=49'] Exploring Operation: 105-49=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 14, 3, 30, 18 ]
42
[ "14+18=32", "30/3=10", "32+10=42" ]
Current State: 42:[14, 3, 30, 18], Operations: [] Exploring Operation: 14+18=32, Resulting Numbers: [3, 30, 32] Generated Node #2: [3, 30, 32] from Operation: 14+18=32 Current State: 42:[3, 30, 32], Operations: ['14+18=32'] Exploring Operation: 30/3=10, Resulting Numbers: [32, 10] Generated Node #3: [32, 10] from Operation: 30/3=10 Current State: 42:[32, 10], Operations: ['14+18=32', '30/3=10'] Exploring Operation: 32+10=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 54, 8, 12, 26 ]
62
[ "54*8=432", "432/12=36", "26+36=62" ]
Current State: 62:[54, 8, 12, 26], Operations: [] Exploring Operation: 54*8=432, Resulting Numbers: [12, 26, 432] Generated Node #2: [12, 26, 432] from Operation: 54*8=432 Current State: 62:[12, 26, 432], Operations: ['54*8=432'] Exploring Operation: 432/12=36, Resulting Numbers: [26, 36] Generated Node #3: [26, 36] from Operation: 432/12=36 Current State: 62:[26, 36], Operations: ['54*8=432', '432/12=36'] Exploring Operation: 26+36=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 2, 12, 86, 39 ]
82
[ "86-39=47", "2*47=94", "94-12=82" ]
Current State: 82:[2, 12, 86, 39], Operations: [] Exploring Operation: 86-39=47, Resulting Numbers: [2, 12, 47] Generated Node #2: [2, 12, 47] from Operation: 86-39=47 Current State: 82:[2, 12, 47], Operations: ['86-39=47'] Exploring Operation: 2*47=94, Resulting Numbers: [12, 94] Generated Node #3: [12, 94] from Operation: 2*47=94 Current State: 82:[12, 94], Operations: ['86-39=47', '2*47=94'] Exploring Operation: 94-12=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 9, 10, 64, 94 ]
68
[ "9*10=90", "64+94=158", "158-90=68" ]
Current State: 68:[9, 10, 64, 94], Operations: [] Exploring Operation: 9*10=90, Resulting Numbers: [64, 94, 90] Generated Node #2: [64, 94, 90] from Operation: 9*10=90 Current State: 68:[64, 94, 90], Operations: ['9*10=90'] Exploring Operation: 64+94=158, Resulting Numbers: [90, 158] Generated Node #3: [90, 158] from Operation: 64+94=158 Current State: 68:[90, 158], Operations: ['9*10=90', '64+94=158'] Exploring Operation: 158-90=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 91, 7, 89, 24 ]
55
[ "91-89=2", "24*2=48", "7+48=55" ]
Current State: 55:[91, 7, 89, 24], Operations: [] Exploring Operation: 91-89=2, Resulting Numbers: [7, 24, 2] Generated Node #2: [7, 24, 2] from Operation: 91-89=2 Current State: 55:[7, 24, 2], Operations: ['91-89=2'] Exploring Operation: 24*2=48, Resulting Numbers: [7, 48] Generated Node #3: [7, 48] from Operation: 24*2=48 Current State: 55:[7, 48], Operations: ['91-89=2', '24*2=48'] Exploring Operation: 7+48=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 39, 6, 2, 74 ]
27
[ "39+6=45", "74-2=72", "72-45=27" ]
Current State: 27:[39, 6, 2, 74], Operations: [] Exploring Operation: 39+6=45, Resulting Numbers: [2, 74, 45] Generated Node #2: [2, 74, 45] from Operation: 39+6=45 Current State: 27:[2, 74, 45], Operations: ['39+6=45'] Exploring Operation: 74-2=72, Resulting Numbers: [45, 72] Generated Node #3: [45, 72] from Operation: 74-2=72 Current State: 27:[45, 72], Operations: ['39+6=45', '74-2=72'] Exploring Operation: 72-45=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 79, 61, 80, 13 ]
48
[ "80-79=1", "61-13=48", "1*48=48" ]
Current State: 48:[79, 61, 80, 13], Operations: [] Exploring Operation: 80-79=1, Resulting Numbers: [61, 13, 1] Generated Node #2: [61, 13, 1] from Operation: 80-79=1 Current State: 48:[61, 13, 1], Operations: ['80-79=1'] Exploring Operation: 61-13=48, Resulting Numbers: [1, 48] Generated Node #3: [1, 48] from Operation: 61-13=48 Current State: 48:[1, 48], Operations: ['80-79=1', '61-13=48'] Exploring Operation: 1*48=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 29, 28, 71, 56 ]
40
[ "71-29=42", "56/28=2", "42-2=40" ]
Current State: 40:[29, 28, 71, 56], Operations: [] Exploring Operation: 71-29=42, Resulting Numbers: [28, 56, 42] Generated Node #2: [28, 56, 42] from Operation: 71-29=42 Current State: 40:[28, 56, 42], Operations: ['71-29=42'] Exploring Operation: 56/28=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 56/28=2 Current State: 40:[42, 2], Operations: ['71-29=42', '56/28=2'] Exploring Operation: 42-2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 37, 83, 11, 60 ]
51
[ "37*83=3071", "3071-11=3060", "3060/60=51" ]
Current State: 51:[37, 83, 11, 60], Operations: [] Exploring Operation: 37*83=3071, Resulting Numbers: [11, 60, 3071] Generated Node #2: [11, 60, 3071] from Operation: 37*83=3071 Current State: 51:[11, 60, 3071], Operations: ['37*83=3071'] Exploring Operation: 3071-11=3060, Resulting Numbers: [60, 3060] Generated Node #3: [60, 3060] from Operation: 3071-11=3060 Current State: 51:[60, 3060], Operations: ['37*83=3071', '3071-11=3060'] Exploring Operation: 3060/60=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 47, 24, 15, 40 ]
38
[ "24*15=360", "360/40=9", "47-9=38" ]
Current State: 38:[47, 24, 15, 40], Operations: [] Exploring Operation: 24*15=360, Resulting Numbers: [47, 40, 360] Generated Node #2: [47, 40, 360] from Operation: 24*15=360 Current State: 38:[47, 40, 360], Operations: ['24*15=360'] Exploring Operation: 360/40=9, Resulting Numbers: [47, 9] Generated Node #3: [47, 9] from Operation: 360/40=9 Current State: 38:[47, 9], Operations: ['24*15=360', '360/40=9'] Exploring Operation: 47-9=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 34, 2, 58, 89 ]
79
[ "34*2=68", "58+89=147", "147-68=79" ]
Current State: 79:[34, 2, 58, 89], Operations: [] Exploring Operation: 34*2=68, Resulting Numbers: [58, 89, 68] Generated Node #2: [58, 89, 68] from Operation: 34*2=68 Current State: 79:[58, 89, 68], Operations: ['34*2=68'] Exploring Operation: 58+89=147, Resulting Numbers: [68, 147] Generated Node #3: [68, 147] from Operation: 58+89=147 Current State: 79:[68, 147], Operations: ['34*2=68', '58+89=147'] Exploring Operation: 147-68=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 95, 72, 13, 3 ]
82
[ "95-72=23", "3*23=69", "13+69=82" ]
Current State: 82:[95, 72, 13, 3], Operations: [] Exploring Operation: 95-72=23, Resulting Numbers: [13, 3, 23] Generated Node #2: [13, 3, 23] from Operation: 95-72=23 Current State: 82:[13, 3, 23], Operations: ['95-72=23'] Exploring Operation: 3*23=69, Resulting Numbers: [13, 69] Generated Node #3: [13, 69] from Operation: 3*23=69 Current State: 82:[13, 69], Operations: ['95-72=23', '3*23=69'] Exploring Operation: 13+69=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 2, 60, 14, 8 ]
24
[ "60/2=30", "14-8=6", "30-6=24" ]
Current State: 24:[2, 60, 14, 8], Operations: [] Exploring Operation: 60/2=30, Resulting Numbers: [14, 8, 30] Generated Node #2: [14, 8, 30] from Operation: 60/2=30 Current State: 24:[14, 8, 30], Operations: ['60/2=30'] Exploring Operation: 14-8=6, Resulting Numbers: [30, 6] Generated Node #3: [30, 6] from Operation: 14-8=6 Current State: 24:[30, 6], Operations: ['60/2=30', '14-8=6'] Exploring Operation: 30-6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 59, 11, 1, 49 ]
97
[ "59-11=48", "1*49=49", "48+49=97" ]
Current State: 97:[59, 11, 1, 49], Operations: [] Exploring Operation: 59-11=48, Resulting Numbers: [1, 49, 48] Generated Node #2: [1, 49, 48] from Operation: 59-11=48 Current State: 97:[1, 49, 48], Operations: ['59-11=48'] Exploring Operation: 1*49=49, Resulting Numbers: [48, 49] Generated Node #3: [48, 49] from Operation: 1*49=49 Current State: 97:[48, 49], Operations: ['59-11=48', '1*49=49'] Exploring Operation: 48+49=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 50, 3, 60, 27 ]
71
[ "60-50=10", "3*27=81", "81-10=71" ]
Current State: 71:[50, 3, 60, 27], Operations: [] Exploring Operation: 60-50=10, Resulting Numbers: [3, 27, 10] Generated Node #2: [3, 27, 10] from Operation: 60-50=10 Current State: 71:[3, 27, 10], Operations: ['60-50=10'] Exploring Operation: 3*27=81, Resulting Numbers: [10, 81] Generated Node #3: [10, 81] from Operation: 3*27=81 Current State: 71:[10, 81], Operations: ['60-50=10', '3*27=81'] Exploring Operation: 81-10=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 13, 95, 74, 55 ]
42
[ "95+74=169", "169/13=13", "55-13=42" ]
Current State: 42:[13, 95, 74, 55], Operations: [] Exploring Operation: 95+74=169, Resulting Numbers: [13, 55, 169] Generated Node #2: [13, 55, 169] from Operation: 95+74=169 Current State: 42:[13, 55, 169], Operations: ['95+74=169'] Exploring Operation: 169/13=13, Resulting Numbers: [55, 13] Generated Node #3: [55, 13] from Operation: 169/13=13 Current State: 42:[55, 13], Operations: ['95+74=169', '169/13=13'] Exploring Operation: 55-13=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 84, 99, 3, 9 ]
20
[ "84+99=183", "183-3=180", "180/9=20" ]
Current State: 20:[84, 99, 3, 9], Operations: [] Exploring Operation: 84+99=183, Resulting Numbers: [3, 9, 183] Generated Node #2: [3, 9, 183] from Operation: 84+99=183 Current State: 20:[3, 9, 183], Operations: ['84+99=183'] Exploring Operation: 183-3=180, Resulting Numbers: [9, 180] Generated Node #3: [9, 180] from Operation: 183-3=180 Current State: 20:[9, 180], Operations: ['84+99=183', '183-3=180'] Exploring Operation: 180/9=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 3, 3, 67, 15 ]
59
[ "67-3=64", "15/3=5", "64-5=59" ]
Current State: 59:[3, 3, 67, 15], Operations: [] Exploring Operation: 67-3=64, Resulting Numbers: [15, 64] Generated Node #2: [15, 64] from Operation: 67-3=64 Current State: 59:[15, 64], Operations: ['67-3=64'] Exploring Operation: 15/3=5, Resulting Numbers: [64, 5] Generated Node #3: [64, 5] from Operation: 15/3=5 Current State: 59:[64, 5], Operations: ['67-3=64', '15/3=5'] Exploring Operation: 64-5=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 83, 73, 21, 79 ]
10
[ "83-73=10", "21+79=100", "100/10=10" ]
Current State: 10:[83, 73, 21, 79], Operations: [] Exploring Operation: 83-73=10, Resulting Numbers: [21, 79, 10] Generated Node #2: [21, 79, 10] from Operation: 83-73=10 Current State: 10:[21, 79, 10], Operations: ['83-73=10'] Exploring Operation: 21+79=100, Resulting Numbers: [10, 100] Generated Node #3: [10, 100] from Operation: 21+79=100 Current State: 10:[10, 100], Operations: ['83-73=10', '21+79=100'] Exploring Operation: 100/10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 80, 26, 50, 23 ]
19
[ "80-26=54", "50+23=73", "73-54=19" ]
Current State: 19:[80, 26, 50, 23], Operations: [] Exploring Operation: 80-26=54, Resulting Numbers: [50, 23, 54] Generated Node #2: [50, 23, 54] from Operation: 80-26=54 Current State: 19:[50, 23, 54], Operations: ['80-26=54'] Exploring Operation: 50+23=73, Resulting Numbers: [54, 73] Generated Node #3: [54, 73] from Operation: 50+23=73 Current State: 19:[54, 73], Operations: ['80-26=54', '50+23=73'] Exploring Operation: 73-54=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 54, 3, 96, 55 ]
15
[ "54+96=150", "3*55=165", "165-150=15" ]
Current State: 15:[54, 3, 96, 55], Operations: [] Exploring Operation: 54+96=150, Resulting Numbers: [3, 55, 150] Generated Node #2: [3, 55, 150] from Operation: 54+96=150 Current State: 15:[3, 55, 150], Operations: ['54+96=150'] Exploring Operation: 3*55=165, Resulting Numbers: [150, 165] Generated Node #3: [150, 165] from Operation: 3*55=165 Current State: 15:[150, 165], Operations: ['54+96=150', '3*55=165'] Exploring Operation: 165-150=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 16, 23, 36, 3 ]
45
[ "23-3=20", "36*20=720", "720/16=45" ]
Current State: 45:[16, 23, 36, 3], Operations: [] Exploring Operation: 23-3=20, Resulting Numbers: [16, 36, 20] Generated Node #2: [16, 36, 20] from Operation: 23-3=20 Current State: 45:[16, 36, 20], Operations: ['23-3=20'] Exploring Operation: 36*20=720, Resulting Numbers: [16, 720] Generated Node #3: [16, 720] from Operation: 36*20=720 Current State: 45:[16, 720], Operations: ['23-3=20', '36*20=720'] Exploring Operation: 720/16=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 75, 78, 51, 60 ]
93
[ "78-75=3", "51*3=153", "153-60=93" ]
Current State: 93:[75, 78, 51, 60], Operations: [] Exploring Operation: 78-75=3, Resulting Numbers: [51, 60, 3] Generated Node #2: [51, 60, 3] from Operation: 78-75=3 Current State: 93:[51, 60, 3], Operations: ['78-75=3'] Exploring Operation: 51*3=153, Resulting Numbers: [60, 153] Generated Node #3: [60, 153] from Operation: 51*3=153 Current State: 93:[60, 153], Operations: ['78-75=3', '51*3=153'] Exploring Operation: 153-60=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 31, 25, 37, 87 ]
21
[ "37+87=124", "124/31=4", "25-4=21" ]
Current State: 21:[31, 25, 37, 87], Operations: [] Exploring Operation: 37+87=124, Resulting Numbers: [31, 25, 124] Generated Node #2: [31, 25, 124] from Operation: 37+87=124 Current State: 21:[31, 25, 124], Operations: ['37+87=124'] Exploring Operation: 124/31=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 124/31=4 Current State: 21:[25, 4], Operations: ['37+87=124', '124/31=4'] Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 19, 11, 20, 13 ]
57
[ "20+13=33", "19*33=627", "627/11=57" ]
Current State: 57:[19, 11, 20, 13], Operations: [] Exploring Operation: 20+13=33, Resulting Numbers: [19, 11, 33] Generated Node #2: [19, 11, 33] from Operation: 20+13=33 Current State: 57:[19, 11, 33], Operations: ['20+13=33'] Exploring Operation: 19*33=627, Resulting Numbers: [11, 627] Generated Node #3: [11, 627] from Operation: 19*33=627 Current State: 57:[11, 627], Operations: ['20+13=33', '19*33=627'] Exploring Operation: 627/11=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 56, 38, 75, 67 ]
48
[ "56+38=94", "75+67=142", "142-94=48" ]
Current State: 48:[56, 38, 75, 67], Operations: [] Exploring Operation: 56+38=94, Resulting Numbers: [75, 67, 94] Generated Node #2: [75, 67, 94] from Operation: 56+38=94 Current State: 48:[75, 67, 94], Operations: ['56+38=94'] Exploring Operation: 75+67=142, Resulting Numbers: [94, 142] Generated Node #3: [94, 142] from Operation: 75+67=142 Current State: 48:[94, 142], Operations: ['56+38=94', '75+67=142'] Exploring Operation: 142-94=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 99, 93, 99, 83 ]
10
[ "99+93=192", "99+83=182", "192-182=10" ]
Current State: 10:[99, 93, 99, 83], Operations: [] Exploring Operation: 99+93=192, Resulting Numbers: [83, 192] Generated Node #2: [83, 192] from Operation: 99+93=192 Current State: 10:[83, 192], Operations: ['99+93=192'] Exploring Operation: 99+83=182, Resulting Numbers: [192, 182] Generated Node #3: [192, 182] from Operation: 99+83=182 Current State: 10:[192, 182], Operations: ['99+93=192', '99+83=182'] Exploring Operation: 192-182=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 85, 3, 51, 49 ]
44
[ "85+3=88", "51-49=2", "88/2=44" ]
Current State: 44:[85, 3, 51, 49], Operations: [] Exploring Operation: 85+3=88, Resulting Numbers: [51, 49, 88] Generated Node #2: [51, 49, 88] from Operation: 85+3=88 Current State: 44:[51, 49, 88], Operations: ['85+3=88'] Exploring Operation: 51-49=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 51-49=2 Current State: 44:[88, 2], Operations: ['85+3=88', '51-49=2'] Exploring Operation: 88/2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 67, 8, 50, 59 ]
68
[ "67-8=59", "59-50=9", "59+9=68" ]
Current State: 68:[67, 8, 50, 59], Operations: [] Exploring Operation: 67-8=59, Resulting Numbers: [50, 59, 59] Generated Node #2: [50, 59, 59] from Operation: 67-8=59 Current State: 68:[50, 59, 59], Operations: ['67-8=59'] Exploring Operation: 59-50=9, Resulting Numbers: [9] 9,68 equal: Goal Reached Exploring Operation: 59+9=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 4, 41, 6, 69 ]
100
[ "41-4=37", "69-6=63", "37+63=100" ]
Current State: 100:[4, 41, 6, 69], Operations: [] Exploring Operation: 41-4=37, Resulting Numbers: [6, 69, 37] Generated Node #2: [6, 69, 37] from Operation: 41-4=37 Current State: 100:[6, 69, 37], Operations: ['41-4=37'] Exploring Operation: 69-6=63, Resulting Numbers: [37, 63] Generated Node #3: [37, 63] from Operation: 69-6=63 Current State: 100:[37, 63], Operations: ['41-4=37', '69-6=63'] Exploring Operation: 37+63=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 64, 42, 51, 35 ]
90
[ "64+42=106", "51-35=16", "106-16=90" ]
Current State: 90:[64, 42, 51, 35], Operations: [] Exploring Operation: 64+42=106, Resulting Numbers: [51, 35, 106] Generated Node #2: [51, 35, 106] from Operation: 64+42=106 Current State: 90:[51, 35, 106], Operations: ['64+42=106'] Exploring Operation: 51-35=16, Resulting Numbers: [106, 16] Generated Node #3: [106, 16] from Operation: 51-35=16 Current State: 90:[106, 16], Operations: ['64+42=106', '51-35=16'] Exploring Operation: 106-16=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 10, 22, 33, 13 ]
77
[ "13-10=3", "33*3=99", "99-22=77" ]
Current State: 77:[10, 22, 33, 13], Operations: [] Exploring Operation: 13-10=3, Resulting Numbers: [22, 33, 3] Generated Node #2: [22, 33, 3] from Operation: 13-10=3 Current State: 77:[22, 33, 3], Operations: ['13-10=3'] Exploring Operation: 33*3=99, Resulting Numbers: [22, 99] Generated Node #3: [22, 99] from Operation: 33*3=99 Current State: 77:[22, 99], Operations: ['13-10=3', '33*3=99'] Exploring Operation: 99-22=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 59, 37, 86, 67 ]
57
[ "59+37=96", "86+67=153", "153-96=57" ]
Current State: 57:[59, 37, 86, 67], Operations: [] Exploring Operation: 59+37=96, Resulting Numbers: [86, 67, 96] Generated Node #2: [86, 67, 96] from Operation: 59+37=96 Current State: 57:[86, 67, 96], Operations: ['59+37=96'] Exploring Operation: 86+67=153, Resulting Numbers: [96, 153] Generated Node #3: [96, 153] from Operation: 86+67=153 Current State: 57:[96, 153], Operations: ['59+37=96', '86+67=153'] Exploring Operation: 153-96=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 35, 42, 54, 34 ]
95
[ "42-35=7", "54+34=88", "7+88=95" ]
Current State: 95:[35, 42, 54, 34], Operations: [] Exploring Operation: 42-35=7, Resulting Numbers: [54, 34, 7] Generated Node #2: [54, 34, 7] from Operation: 42-35=7 Current State: 95:[54, 34, 7], Operations: ['42-35=7'] Exploring Operation: 54+34=88, Resulting Numbers: [7, 88] Generated Node #3: [7, 88] from Operation: 54+34=88 Current State: 95:[7, 88], Operations: ['42-35=7', '54+34=88'] Exploring Operation: 7+88=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 9, 58, 96, 68 ]
77
[ "58-9=49", "96-68=28", "49+28=77" ]
Current State: 77:[9, 58, 96, 68], Operations: [] Exploring Operation: 58-9=49, Resulting Numbers: [96, 68, 49] Generated Node #2: [96, 68, 49] from Operation: 58-9=49 Current State: 77:[96, 68, 49], Operations: ['58-9=49'] Exploring Operation: 96-68=28, Resulting Numbers: [49, 28] Generated Node #3: [49, 28] from Operation: 96-68=28 Current State: 77:[49, 28], Operations: ['58-9=49', '96-68=28'] Exploring Operation: 49+28=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 89, 38, 18, 74 ]
91
[ "74-38=36", "36/18=2", "89+2=91" ]
Current State: 91:[89, 38, 18, 74], Operations: [] Exploring Operation: 74-38=36, Resulting Numbers: [89, 18, 36] Generated Node #2: [89, 18, 36] from Operation: 74-38=36 Current State: 91:[89, 18, 36], Operations: ['74-38=36'] Exploring Operation: 36/18=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 36/18=2 Current State: 91:[89, 2], Operations: ['74-38=36', '36/18=2'] Exploring Operation: 89+2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 40, 61, 20, 18 ]
17
[ "61-40=21", "20+18=38", "38-21=17" ]
Current State: 17:[40, 61, 20, 18], Operations: [] Exploring Operation: 61-40=21, Resulting Numbers: [20, 18, 21] Generated Node #2: [20, 18, 21] from Operation: 61-40=21 Current State: 17:[20, 18, 21], Operations: ['61-40=21'] Exploring Operation: 20+18=38, Resulting Numbers: [21, 38] Generated Node #3: [21, 38] from Operation: 20+18=38 Current State: 17:[21, 38], Operations: ['61-40=21', '20+18=38'] Exploring Operation: 38-21=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 19, 46, 2, 48 ]
34
[ "19+46=65", "65-48=17", "2*17=34" ]
Current State: 34:[19, 46, 2, 48], Operations: [] Exploring Operation: 19+46=65, Resulting Numbers: [2, 48, 65] Generated Node #2: [2, 48, 65] from Operation: 19+46=65 Current State: 34:[2, 48, 65], Operations: ['19+46=65'] Exploring Operation: 65-48=17, Resulting Numbers: [2, 17] Generated Node #3: [2, 17] from Operation: 65-48=17 Current State: 34:[2, 17], Operations: ['19+46=65', '65-48=17'] Exploring Operation: 2*17=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 5, 58, 63, 15 ]
25
[ "58-5=53", "63+15=78", "78-53=25" ]
Current State: 25:[5, 58, 63, 15], Operations: [] Exploring Operation: 58-5=53, Resulting Numbers: [63, 15, 53] Generated Node #2: [63, 15, 53] from Operation: 58-5=53 Current State: 25:[63, 15, 53], Operations: ['58-5=53'] Exploring Operation: 63+15=78, Resulting Numbers: [53, 78] Generated Node #3: [53, 78] from Operation: 63+15=78 Current State: 25:[53, 78], Operations: ['58-5=53', '63+15=78'] Exploring Operation: 78-53=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 92, 23, 20, 97 ]
98
[ "23+97=120", "120/20=6", "92+6=98" ]
Current State: 98:[92, 23, 20, 97], Operations: [] Exploring Operation: 23+97=120, Resulting Numbers: [92, 20, 120] Generated Node #2: [92, 20, 120] from Operation: 23+97=120 Current State: 98:[92, 20, 120], Operations: ['23+97=120'] Exploring Operation: 120/20=6, Resulting Numbers: [92, 6] Generated Node #3: [92, 6] from Operation: 120/20=6 Current State: 98:[92, 6], Operations: ['23+97=120', '120/20=6'] Exploring Operation: 92+6=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 82, 82, 27, 56 ]
56
[ "82-82=0", "27*0=0", "56+0=56" ]
Current State: 56:[82, 82, 27, 56], Operations: [] Exploring Operation: 82-82=0, Resulting Numbers: [27, 56, 0] Generated Node #2: [27, 56, 0] from Operation: 82-82=0 Current State: 56:[27, 56, 0], Operations: ['82-82=0'] Exploring Operation: 27*0=0, Resulting Numbers: [56, 0] Generated Node #3: [56, 0] from Operation: 27*0=0 Current State: 56:[56, 0], Operations: ['82-82=0', '27*0=0'] Exploring Operation: 56+0=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 49, 3, 1, 6 ]
96
[ "49-1=48", "6/3=2", "48*2=96" ]
Current State: 96:[49, 3, 1, 6], Operations: [] Exploring Operation: 49-1=48, Resulting Numbers: [3, 6, 48] Generated Node #2: [3, 6, 48] from Operation: 49-1=48 Current State: 96:[3, 6, 48], Operations: ['49-1=48'] Exploring Operation: 6/3=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 6/3=2 Current State: 96:[48, 2], Operations: ['49-1=48', '6/3=2'] Exploring Operation: 48*2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 46, 29, 32, 43 ]
86
[ "46+29=75", "43-32=11", "75+11=86" ]
Current State: 86:[46, 29, 32, 43], Operations: [] Exploring Operation: 46+29=75, Resulting Numbers: [32, 43, 75] Generated Node #2: [32, 43, 75] from Operation: 46+29=75 Current State: 86:[32, 43, 75], Operations: ['46+29=75'] Exploring Operation: 43-32=11, Resulting Numbers: [75, 11] Generated Node #3: [75, 11] from Operation: 43-32=11 Current State: 86:[75, 11], Operations: ['46+29=75', '43-32=11'] Exploring Operation: 75+11=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 62, 41, 22, 63 ]
64
[ "62-41=21", "22+63=85", "85-21=64" ]
Current State: 64:[62, 41, 22, 63], Operations: [] Exploring Operation: 62-41=21, Resulting Numbers: [22, 63, 21] Generated Node #2: [22, 63, 21] from Operation: 62-41=21 Current State: 64:[22, 63, 21], Operations: ['62-41=21'] Exploring Operation: 22+63=85, Resulting Numbers: [21, 85] Generated Node #3: [21, 85] from Operation: 22+63=85 Current State: 64:[21, 85], Operations: ['62-41=21', '22+63=85'] Exploring Operation: 85-21=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 5, 26, 90, 31 ]
89
[ "5+26=31", "31/31=1", "90-1=89" ]
Current State: 89:[5, 26, 90, 31], Operations: [] Exploring Operation: 5+26=31, Resulting Numbers: [90, 31, 31] Generated Node #2: [90, 31, 31] from Operation: 5+26=31 Current State: 89:[90, 31, 31], Operations: ['5+26=31'] Exploring Operation: 31/31=1, Resulting Numbers: [90, 1] Generated Node #3: [90, 1] from Operation: 31/31=1 Current State: 89:[90, 1], Operations: ['5+26=31', '31/31=1'] Exploring Operation: 90-1=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 65, 68, 55, 5 ]
34
[ "65-55=10", "68*5=340", "340/10=34" ]
Current State: 34:[65, 68, 55, 5], Operations: [] Exploring Operation: 65-55=10, Resulting Numbers: [68, 5, 10] Generated Node #2: [68, 5, 10] from Operation: 65-55=10 Current State: 34:[68, 5, 10], Operations: ['65-55=10'] Exploring Operation: 68*5=340, Resulting Numbers: [10, 340] Generated Node #3: [10, 340] from Operation: 68*5=340 Current State: 34:[10, 340], Operations: ['65-55=10', '68*5=340'] Exploring Operation: 340/10=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 24, 72, 90, 42 ]
74
[ "90-42=48", "48/24=2", "72+2=74" ]
Current State: 74:[24, 72, 90, 42], Operations: [] Exploring Operation: 90-42=48, Resulting Numbers: [24, 72, 48] Generated Node #2: [24, 72, 48] from Operation: 90-42=48 Current State: 74:[24, 72, 48], Operations: ['90-42=48'] Exploring Operation: 48/24=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 48/24=2 Current State: 74:[72, 2], Operations: ['90-42=48', '48/24=2'] Exploring Operation: 72+2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 60, 99, 78, 9 ]
29
[ "78-60=18", "99/9=11", "18+11=29" ]
Current State: 29:[60, 99, 78, 9], Operations: [] Exploring Operation: 78-60=18, Resulting Numbers: [99, 9, 18] Generated Node #2: [99, 9, 18] from Operation: 78-60=18 Current State: 29:[99, 9, 18], Operations: ['78-60=18'] Exploring Operation: 99/9=11, Resulting Numbers: [18, 11] Generated Node #3: [18, 11] from Operation: 99/9=11 Current State: 29:[18, 11], Operations: ['78-60=18', '99/9=11'] Exploring Operation: 18+11=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 38, 65, 91, 46 ]
89
[ "65-46=19", "38/19=2", "91-2=89" ]
Current State: 89:[38, 65, 91, 46], Operations: [] Exploring Operation: 65-46=19, Resulting Numbers: [38, 91, 19] Generated Node #2: [38, 91, 19] from Operation: 65-46=19 Current State: 89:[38, 91, 19], Operations: ['65-46=19'] Exploring Operation: 38/19=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 38/19=2 Current State: 89:[91, 2], Operations: ['65-46=19', '38/19=2'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 6, 29, 5, 4 ]
83
[ "5+4=9", "6*9=54", "29+54=83" ]
Current State: 83:[6, 29, 5, 4], Operations: [] Exploring Operation: 5+4=9, Resulting Numbers: [6, 29, 9] Generated Node #2: [6, 29, 9] from Operation: 5+4=9 Current State: 83:[6, 29, 9], Operations: ['5+4=9'] Exploring Operation: 6*9=54, Resulting Numbers: [29, 54] Generated Node #3: [29, 54] from Operation: 6*9=54 Current State: 83:[29, 54], Operations: ['5+4=9', '6*9=54'] Exploring Operation: 29+54=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 2, 1, 39, 30 ]
72
[ "2+1=3", "39+30=69", "3+69=72" ]
Current State: 72:[2, 1, 39, 30], Operations: [] Exploring Operation: 2+1=3, Resulting Numbers: [39, 30, 3] Generated Node #2: [39, 30, 3] from Operation: 2+1=3 Current State: 72:[39, 30, 3], Operations: ['2+1=3'] Exploring Operation: 39+30=69, Resulting Numbers: [3, 69] Generated Node #3: [3, 69] from Operation: 39+30=69 Current State: 72:[3, 69], Operations: ['2+1=3', '39+30=69'] Exploring Operation: 3+69=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 27, 49, 29, 43 ]
90
[ "27+49=76", "43-29=14", "76+14=90" ]
Current State: 90:[27, 49, 29, 43], Operations: [] Exploring Operation: 27+49=76, Resulting Numbers: [29, 43, 76] Generated Node #2: [29, 43, 76] from Operation: 27+49=76 Current State: 90:[29, 43, 76], Operations: ['27+49=76'] Exploring Operation: 43-29=14, Resulting Numbers: [76, 14] Generated Node #3: [76, 14] from Operation: 43-29=14 Current State: 90:[76, 14], Operations: ['27+49=76', '43-29=14'] Exploring Operation: 76+14=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 52, 7, 45, 98 ]
99
[ "52-7=45", "45/45=1", "98+1=99" ]
Current State: 99:[52, 7, 45, 98], Operations: [] Exploring Operation: 52-7=45, Resulting Numbers: [45, 98, 45] Generated Node #2: [45, 98, 45] from Operation: 52-7=45 Current State: 99:[45, 98, 45], Operations: ['52-7=45'] Exploring Operation: 45/45=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 45/45=1 Current State: 99:[98, 1], Operations: ['52-7=45', '45/45=1'] Exploring Operation: 98+1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 9, 97, 61, 43 ]
88
[ "9+97=106", "61-43=18", "106-18=88" ]
Current State: 88:[9, 97, 61, 43], Operations: [] Exploring Operation: 9+97=106, Resulting Numbers: [61, 43, 106] Generated Node #2: [61, 43, 106] from Operation: 9+97=106 Current State: 88:[61, 43, 106], Operations: ['9+97=106'] Exploring Operation: 61-43=18, Resulting Numbers: [106, 18] Generated Node #3: [106, 18] from Operation: 61-43=18 Current State: 88:[106, 18], Operations: ['9+97=106', '61-43=18'] Exploring Operation: 106-18=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 39, 68, 39, 33 ]
34
[ "39/39=1", "68-33=35", "35-1=34" ]
Current State: 34:[39, 68, 39, 33], Operations: [] Exploring Operation: 39/39=1, Resulting Numbers: [68, 33, 1] Generated Node #2: [68, 33, 1] from Operation: 39/39=1 Current State: 34:[68, 33, 1], Operations: ['39/39=1'] Exploring Operation: 68-33=35, Resulting Numbers: [1, 35] Generated Node #3: [1, 35] from Operation: 68-33=35 Current State: 34:[1, 35], Operations: ['39/39=1', '68-33=35'] Exploring Operation: 35-1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 29, 79, 36, 83 ]
80
[ "29+79=108", "108/36=3", "83-3=80" ]
Current State: 80:[29, 79, 36, 83], Operations: [] Exploring Operation: 29+79=108, Resulting Numbers: [36, 83, 108] Generated Node #2: [36, 83, 108] from Operation: 29+79=108 Current State: 80:[36, 83, 108], Operations: ['29+79=108'] Exploring Operation: 108/36=3, Resulting Numbers: [83, 3] Generated Node #3: [83, 3] from Operation: 108/36=3 Current State: 80:[83, 3], Operations: ['29+79=108', '108/36=3'] Exploring Operation: 83-3=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 65, 2, 72, 7 ]
28
[ "72-65=7", "7+7=14", "2*14=28" ]
Current State: 28:[65, 2, 72, 7], Operations: [] Exploring Operation: 72-65=7, Resulting Numbers: [2, 7, 7] Generated Node #2: [2, 7, 7] from Operation: 72-65=7 Current State: 28:[2, 7, 7], Operations: ['72-65=7'] Exploring Operation: 7+7=14, Resulting Numbers: [2, 14] Generated Node #3: [2, 14] from Operation: 7+7=14 Current State: 28:[2, 14], Operations: ['72-65=7', '7+7=14'] Exploring Operation: 2*14=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 43, 69, 57, 29 ]
26
[ "43+69=112", "57+29=86", "112-86=26" ]
Current State: 26:[43, 69, 57, 29], Operations: [] Exploring Operation: 43+69=112, Resulting Numbers: [57, 29, 112] Generated Node #2: [57, 29, 112] from Operation: 43+69=112 Current State: 26:[57, 29, 112], Operations: ['43+69=112'] Exploring Operation: 57+29=86, Resulting Numbers: [112, 86] Generated Node #3: [112, 86] from Operation: 57+29=86 Current State: 26:[112, 86], Operations: ['43+69=112', '57+29=86'] Exploring Operation: 112-86=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 82, 10, 40, 45 ]
87
[ "82+10=92", "45-40=5", "92-5=87" ]
Current State: 87:[82, 10, 40, 45], Operations: [] Exploring Operation: 82+10=92, Resulting Numbers: [40, 45, 92] Generated Node #2: [40, 45, 92] from Operation: 82+10=92 Current State: 87:[40, 45, 92], Operations: ['82+10=92'] Exploring Operation: 45-40=5, Resulting Numbers: [92, 5] Generated Node #3: [92, 5] from Operation: 45-40=5 Current State: 87:[92, 5], Operations: ['82+10=92', '45-40=5'] Exploring Operation: 92-5=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 30, 5, 66, 9 ]
100
[ "30-5=25", "66+9=75", "25+75=100" ]
Current State: 100:[30, 5, 66, 9], Operations: [] Exploring Operation: 30-5=25, Resulting Numbers: [66, 9, 25] Generated Node #2: [66, 9, 25] from Operation: 30-5=25 Current State: 100:[66, 9, 25], Operations: ['30-5=25'] Exploring Operation: 66+9=75, Resulting Numbers: [25, 75] Generated Node #3: [25, 75] from Operation: 66+9=75 Current State: 100:[25, 75], Operations: ['30-5=25', '66+9=75'] Exploring Operation: 25+75=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 43, 88, 67, 22 ]
83
[ "43+67=110", "110/22=5", "88-5=83" ]
Current State: 83:[43, 88, 67, 22], Operations: [] Exploring Operation: 43+67=110, Resulting Numbers: [88, 22, 110] Generated Node #2: [88, 22, 110] from Operation: 43+67=110 Current State: 83:[88, 22, 110], Operations: ['43+67=110'] Exploring Operation: 110/22=5, Resulting Numbers: [88, 5] Generated Node #3: [88, 5] from Operation: 110/22=5 Current State: 83:[88, 5], Operations: ['43+67=110', '110/22=5'] Exploring Operation: 88-5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 57, 3, 94, 80 ]
31
[ "94-57=37", "3*37=111", "111-80=31" ]
Current State: 31:[57, 3, 94, 80], Operations: [] Exploring Operation: 94-57=37, Resulting Numbers: [3, 80, 37] Generated Node #2: [3, 80, 37] from Operation: 94-57=37 Current State: 31:[3, 80, 37], Operations: ['94-57=37'] Exploring Operation: 3*37=111, Resulting Numbers: [80, 111] Generated Node #3: [80, 111] from Operation: 3*37=111 Current State: 31:[80, 111], Operations: ['94-57=37', '3*37=111'] Exploring Operation: 111-80=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 22, 20, 8, 47 ]
64
[ "22*20=440", "8*47=376", "440-376=64" ]
Current State: 64:[22, 20, 8, 47], Operations: [] Exploring Operation: 22*20=440, Resulting Numbers: [8, 47, 440] Generated Node #2: [8, 47, 440] from Operation: 22*20=440 Current State: 64:[8, 47, 440], Operations: ['22*20=440'] Exploring Operation: 8*47=376, Resulting Numbers: [440, 376] Generated Node #3: [440, 376] from Operation: 8*47=376 Current State: 64:[440, 376], Operations: ['22*20=440', '8*47=376'] Exploring Operation: 440-376=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 8, 59, 4, 11 ]
36
[ "59-8=51", "4+11=15", "51-15=36" ]
Current State: 36:[8, 59, 4, 11], Operations: [] Exploring Operation: 59-8=51, Resulting Numbers: [4, 11, 51] Generated Node #2: [4, 11, 51] from Operation: 59-8=51 Current State: 36:[4, 11, 51], Operations: ['59-8=51'] Exploring Operation: 4+11=15, Resulting Numbers: [51, 15] Generated Node #3: [51, 15] from Operation: 4+11=15 Current State: 36:[51, 15], Operations: ['59-8=51', '4+11=15'] Exploring Operation: 51-15=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 39, 93, 16, 85 ]
63
[ "39+93=132", "85-16=69", "132-69=63" ]
Current State: 63:[39, 93, 16, 85], Operations: [] Exploring Operation: 39+93=132, Resulting Numbers: [16, 85, 132] Generated Node #2: [16, 85, 132] from Operation: 39+93=132 Current State: 63:[16, 85, 132], Operations: ['39+93=132'] Exploring Operation: 85-16=69, Resulting Numbers: [132, 69] Generated Node #3: [132, 69] from Operation: 85-16=69 Current State: 63:[132, 69], Operations: ['39+93=132', '85-16=69'] Exploring Operation: 132-69=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 5, 96, 5, 82 ]
11
[ "5*5=25", "96-82=14", "25-14=11" ]
Current State: 11:[5, 96, 5, 82], Operations: [] Exploring Operation: 5*5=25, Resulting Numbers: [96, 82, 25] Generated Node #2: [96, 82, 25] from Operation: 5*5=25 Current State: 11:[96, 82, 25], Operations: ['5*5=25'] Exploring Operation: 96-82=14, Resulting Numbers: [25, 14] Generated Node #3: [25, 14] from Operation: 96-82=14 Current State: 11:[25, 14], Operations: ['5*5=25', '96-82=14'] Exploring Operation: 25-14=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 28, 20, 70, 60 ]
33
[ "28*70=1960", "20+1960=1980", "1980/60=33" ]
Current State: 33:[28, 20, 70, 60], Operations: [] Exploring Operation: 28*70=1960, Resulting Numbers: [20, 60, 1960] Generated Node #2: [20, 60, 1960] from Operation: 28*70=1960 Current State: 33:[20, 60, 1960], Operations: ['28*70=1960'] Exploring Operation: 20+1960=1980, Resulting Numbers: [60, 1980] Generated Node #3: [60, 1980] from Operation: 20+1960=1980 Current State: 33:[60, 1980], Operations: ['28*70=1960', '20+1960=1980'] Exploring Operation: 1980/60=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 49, 48, 83, 61 ]
22
[ "49-48=1", "83-61=22", "1*22=22" ]
Current State: 22:[49, 48, 83, 61], Operations: [] Exploring Operation: 49-48=1, Resulting Numbers: [83, 61, 1] Generated Node #2: [83, 61, 1] from Operation: 49-48=1 Current State: 22:[83, 61, 1], Operations: ['49-48=1'] Exploring Operation: 83-61=22, Resulting Numbers: [1, 22] Generated Node #3: [1, 22] from Operation: 83-61=22 Current State: 22:[1, 22], Operations: ['49-48=1', '83-61=22'] Exploring Operation: 1*22=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 36, 68, 34, 4 ]
20
[ "36+4=40", "68/34=2", "40/2=20" ]
Current State: 20:[36, 68, 34, 4], Operations: [] Exploring Operation: 36+4=40, Resulting Numbers: [68, 34, 40] Generated Node #2: [68, 34, 40] from Operation: 36+4=40 Current State: 20:[68, 34, 40], Operations: ['36+4=40'] Exploring Operation: 68/34=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 68/34=2 Current State: 20:[40, 2], Operations: ['36+4=40', '68/34=2'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 74, 33, 25, 79 ]
53
[ "74+33=107", "79-25=54", "107-54=53" ]
Current State: 53:[74, 33, 25, 79], Operations: [] Exploring Operation: 74+33=107, Resulting Numbers: [25, 79, 107] Generated Node #2: [25, 79, 107] from Operation: 74+33=107 Current State: 53:[25, 79, 107], Operations: ['74+33=107'] Exploring Operation: 79-25=54, Resulting Numbers: [107, 54] Generated Node #3: [107, 54] from Operation: 79-25=54 Current State: 53:[107, 54], Operations: ['74+33=107', '79-25=54'] Exploring Operation: 107-54=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 92, 30, 70, 91 ]
41
[ "92-30=62", "91-70=21", "62-21=41" ]
Current State: 41:[92, 30, 70, 91], Operations: [] Exploring Operation: 92-30=62, Resulting Numbers: [70, 91, 62] Generated Node #2: [70, 91, 62] from Operation: 92-30=62 Current State: 41:[70, 91, 62], Operations: ['92-30=62'] Exploring Operation: 91-70=21, Resulting Numbers: [62, 21] Generated Node #3: [62, 21] from Operation: 91-70=21 Current State: 41:[62, 21], Operations: ['92-30=62', '91-70=21'] Exploring Operation: 62-21=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 15, 37, 90, 33 ]
42
[ "33-15=18", "90/18=5", "37+5=42" ]
Current State: 42:[15, 37, 90, 33], Operations: [] Exploring Operation: 33-15=18, Resulting Numbers: [37, 90, 18] Generated Node #2: [37, 90, 18] from Operation: 33-15=18 Current State: 42:[37, 90, 18], Operations: ['33-15=18'] Exploring Operation: 90/18=5, Resulting Numbers: [37, 5] Generated Node #3: [37, 5] from Operation: 90/18=5 Current State: 42:[37, 5], Operations: ['33-15=18', '90/18=5'] Exploring Operation: 37+5=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 12, 13, 22, 66 ]
43
[ "13-12=1", "66-22=44", "44-1=43" ]
Current State: 43:[12, 13, 22, 66], Operations: [] Exploring Operation: 13-12=1, Resulting Numbers: [22, 66, 1] Generated Node #2: [22, 66, 1] from Operation: 13-12=1 Current State: 43:[22, 66, 1], Operations: ['13-12=1'] Exploring Operation: 66-22=44, Resulting Numbers: [1, 44] Generated Node #3: [1, 44] from Operation: 66-22=44 Current State: 43:[1, 44], Operations: ['13-12=1', '66-22=44'] Exploring Operation: 44-1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 38, 54, 12, 7 ]
87
[ "38+54=92", "12-7=5", "92-5=87" ]
Current State: 87:[38, 54, 12, 7], Operations: [] Exploring Operation: 38+54=92, Resulting Numbers: [12, 7, 92] Generated Node #2: [12, 7, 92] from Operation: 38+54=92 Current State: 87:[12, 7, 92], Operations: ['38+54=92'] Exploring Operation: 12-7=5, Resulting Numbers: [92, 5] Generated Node #3: [92, 5] from Operation: 12-7=5 Current State: 87:[92, 5], Operations: ['38+54=92', '12-7=5'] Exploring Operation: 92-5=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 30, 4, 65, 40 ]
10
[ "4*65=260", "40+260=300", "300/30=10" ]
Current State: 10:[30, 4, 65, 40], Operations: [] Exploring Operation: 4*65=260, Resulting Numbers: [30, 40, 260] Generated Node #2: [30, 40, 260] from Operation: 4*65=260 Current State: 10:[30, 40, 260], Operations: ['4*65=260'] Exploring Operation: 40+260=300, Resulting Numbers: [30, 300] Generated Node #3: [30, 300] from Operation: 40+260=300 Current State: 10:[30, 300], Operations: ['4*65=260', '40+260=300'] Exploring Operation: 300/30=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 75, 16, 81, 4 ]
40
[ "75+16=91", "91-81=10", "4*10=40" ]
Current State: 40:[75, 16, 81, 4], Operations: [] Exploring Operation: 75+16=91, Resulting Numbers: [81, 4, 91] Generated Node #2: [81, 4, 91] from Operation: 75+16=91 Current State: 40:[81, 4, 91], Operations: ['75+16=91'] Exploring Operation: 91-81=10, Resulting Numbers: [4, 10] Generated Node #3: [4, 10] from Operation: 91-81=10 Current State: 40:[4, 10], Operations: ['75+16=91', '91-81=10'] Exploring Operation: 4*10=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 40, 15, 3, 64 ]
72
[ "40*3=120", "120/15=8", "64+8=72" ]
Current State: 72:[40, 15, 3, 64], Operations: [] Exploring Operation: 40*3=120, Resulting Numbers: [15, 64, 120] Generated Node #2: [15, 64, 120] from Operation: 40*3=120 Current State: 72:[15, 64, 120], Operations: ['40*3=120'] Exploring Operation: 120/15=8, Resulting Numbers: [64, 8] Generated Node #3: [64, 8] from Operation: 120/15=8 Current State: 72:[64, 8], Operations: ['40*3=120', '120/15=8'] Exploring Operation: 64+8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 90, 39, 3, 34 ]
69
[ "90-34=56", "39/3=13", "56+13=69" ]
Current State: 69:[90, 39, 3, 34], Operations: [] Exploring Operation: 90-34=56, Resulting Numbers: [39, 3, 56] Generated Node #2: [39, 3, 56] from Operation: 90-34=56 Current State: 69:[39, 3, 56], Operations: ['90-34=56'] Exploring Operation: 39/3=13, Resulting Numbers: [56, 13] Generated Node #3: [56, 13] from Operation: 39/3=13 Current State: 69:[56, 13], Operations: ['90-34=56', '39/3=13'] Exploring Operation: 56+13=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 80, 58, 72, 22 ]
40
[ "58-22=36", "80*36=2880", "2880/72=40" ]
Current State: 40:[80, 58, 72, 22], Operations: [] Exploring Operation: 58-22=36, Resulting Numbers: [80, 72, 36] Generated Node #2: [80, 72, 36] from Operation: 58-22=36 Current State: 40:[80, 72, 36], Operations: ['58-22=36'] Exploring Operation: 80*36=2880, Resulting Numbers: [72, 2880] Generated Node #3: [72, 2880] from Operation: 80*36=2880 Current State: 40:[72, 2880], Operations: ['58-22=36', '80*36=2880'] Exploring Operation: 2880/72=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 34, 65, 54, 69 ]
84
[ "34+65=99", "69-54=15", "99-15=84" ]
Current State: 84:[34, 65, 54, 69], Operations: [] Exploring Operation: 34+65=99, Resulting Numbers: [54, 69, 99] Generated Node #2: [54, 69, 99] from Operation: 34+65=99 Current State: 84:[54, 69, 99], Operations: ['34+65=99'] Exploring Operation: 69-54=15, Resulting Numbers: [99, 15] Generated Node #3: [99, 15] from Operation: 69-54=15 Current State: 84:[99, 15], Operations: ['34+65=99', '69-54=15'] Exploring Operation: 99-15=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 79, 47, 93, 54 ]
71
[ "79-47=32", "93-54=39", "32+39=71" ]
Current State: 71:[79, 47, 93, 54], Operations: [] Exploring Operation: 79-47=32, Resulting Numbers: [93, 54, 32] Generated Node #2: [93, 54, 32] from Operation: 79-47=32 Current State: 71:[93, 54, 32], Operations: ['79-47=32'] Exploring Operation: 93-54=39, Resulting Numbers: [32, 39] Generated Node #3: [32, 39] from Operation: 93-54=39 Current State: 71:[32, 39], Operations: ['79-47=32', '93-54=39'] Exploring Operation: 32+39=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 54, 40, 10, 94 ]
11
[ "54+40=94", "94/94=1", "10+1=11" ]
Current State: 11:[54, 40, 10, 94], Operations: [] Exploring Operation: 54+40=94, Resulting Numbers: [10, 94, 94] Generated Node #2: [10, 94, 94] from Operation: 54+40=94 Current State: 11:[10, 94, 94], Operations: ['54+40=94'] Exploring Operation: 94/94=1, Resulting Numbers: [10, 1] Generated Node #3: [10, 1] from Operation: 94/94=1 Current State: 11:[10, 1], Operations: ['54+40=94', '94/94=1'] Exploring Operation: 10+1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4