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
[ 3, 99, 94, 13 ]
62
[ "99-94=5", "13*5=65", "65-3=62" ]
Current State: 62:[3, 99, 94, 13], Operations: [] Exploring Operation: 99-94=5, Resulting Numbers: [3, 13, 5] Generated Node #2: [3, 13, 5] from Operation: 99-94=5 Current State: 62:[3, 13, 5], Operations: ['99-94=5'] Exploring Operation: 13*5=65, Resulting Numbers: [3, 65] Generated Node #3: [3, 65] from Operation: 13*5=65 Current State: 62:[3, 65], Operations: ['99-94=5', '13*5=65'] Exploring Operation: 65-3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 15, 39, 85, 55 ]
84
[ "15+39=54", "85-55=30", "54+30=84" ]
Current State: 84:[15, 39, 85, 55], Operations: [] Exploring Operation: 15+39=54, Resulting Numbers: [85, 55, 54] Generated Node #2: [85, 55, 54] from Operation: 15+39=54 Current State: 84:[85, 55, 54], Operations: ['15+39=54'] Exploring Operation: 85-55=30, Resulting Numbers: [54, 30] Generated Node #3: [54, 30] from Operation: 85-55=30 Current State: 84:[54, 30], Operations: ['15+39=54', '85-55=30'] Exploring Operation: 54+30=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 87, 72, 53, 73 ]
70
[ "87+72=159", "159/53=3", "73-3=70" ]
Current State: 70:[87, 72, 53, 73], Operations: [] Exploring Operation: 87+72=159, Resulting Numbers: [53, 73, 159] Generated Node #2: [53, 73, 159] from Operation: 87+72=159 Current State: 70:[53, 73, 159], Operations: ['87+72=159'] Exploring Operation: 159/53=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 159/53=3 Current State: 70:[73, 3], Operations: ['87+72=159', '159/53=3'] Exploring Operation: 73-3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 77, 62, 99, 14 ]
80
[ "99*14=1386", "1386/77=18", "62+18=80" ]
Current State: 80:[77, 62, 99, 14], Operations: [] Exploring Operation: 99*14=1386, Resulting Numbers: [77, 62, 1386] Generated Node #2: [77, 62, 1386] from Operation: 99*14=1386 Current State: 80:[77, 62, 1386], Operations: ['99*14=1386'] Exploring Operation: 1386/77=18, Resulting Numbers: [62, 18] Generated Node #3: [62, 18] from Operation: 1386/77=18 Current State: 80:[62, 18], Operations: ['99*14=1386', '1386/77=18'] Exploring Operation: 62+18=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 67, 74, 25, 98 ]
39
[ "74-67=7", "98/7=14", "25+14=39" ]
Current State: 39:[67, 74, 25, 98], Operations: [] Exploring Operation: 74-67=7, Resulting Numbers: [25, 98, 7] Generated Node #2: [25, 98, 7] from Operation: 74-67=7 Current State: 39:[25, 98, 7], Operations: ['74-67=7'] Exploring Operation: 98/7=14, Resulting Numbers: [25, 14] Generated Node #3: [25, 14] from Operation: 98/7=14 Current State: 39:[25, 14], Operations: ['74-67=7', '98/7=14'] Exploring Operation: 25+14=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 34, 80, 44, 65 ]
25
[ "80-34=46", "65-44=21", "46-21=25" ]
Current State: 25:[34, 80, 44, 65], Operations: [] Exploring Operation: 80-34=46, Resulting Numbers: [44, 65, 46] Generated Node #2: [44, 65, 46] from Operation: 80-34=46 Current State: 25:[44, 65, 46], Operations: ['80-34=46'] Exploring Operation: 65-44=21, Resulting Numbers: [46, 21] Generated Node #3: [46, 21] from Operation: 65-44=21 Current State: 25:[46, 21], Operations: ['80-34=46', '65-44=21'] Exploring Operation: 46-21=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 14, 6, 7, 46 ]
88
[ "14-7=7", "6*7=42", "46+42=88" ]
Current State: 88:[14, 6, 7, 46], Operations: [] Exploring Operation: 14-7=7, Resulting Numbers: [6, 46, 7] Generated Node #2: [6, 46, 7] from Operation: 14-7=7 Current State: 88:[6, 46, 7], Operations: ['14-7=7'] Exploring Operation: 6*7=42, Resulting Numbers: [46, 42] Generated Node #3: [46, 42] from Operation: 6*7=42 Current State: 88:[46, 42], Operations: ['14-7=7', '6*7=42'] Exploring Operation: 46+42=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 26, 19, 48, 3 ]
99
[ "26+19=45", "48*3=144", "144-45=99" ]
Current State: 99:[26, 19, 48, 3], Operations: [] Exploring Operation: 26+19=45, Resulting Numbers: [48, 3, 45] Generated Node #2: [48, 3, 45] from Operation: 26+19=45 Current State: 99:[48, 3, 45], Operations: ['26+19=45'] Exploring Operation: 48*3=144, Resulting Numbers: [45, 144] Generated Node #3: [45, 144] from Operation: 48*3=144 Current State: 99:[45, 144], Operations: ['26+19=45', '48*3=144'] Exploring Operation: 144-45=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 16, 30, 42, 86 ]
90
[ "16+30=46", "86-42=44", "46+44=90" ]
Current State: 90:[16, 30, 42, 86], Operations: [] Exploring Operation: 16+30=46, Resulting Numbers: [42, 86, 46] Generated Node #2: [42, 86, 46] from Operation: 16+30=46 Current State: 90:[42, 86, 46], Operations: ['16+30=46'] Exploring Operation: 86-42=44, Resulting Numbers: [46, 44] Generated Node #3: [46, 44] from Operation: 86-42=44 Current State: 90:[46, 44], Operations: ['16+30=46', '86-42=44'] Exploring Operation: 46+44=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 28, 45, 33, 33 ]
72
[ "28+45=73", "33/33=1", "73-1=72" ]
Current State: 72:[28, 45, 33, 33], Operations: [] Exploring Operation: 28+45=73, Resulting Numbers: [33, 33, 73] Generated Node #2: [33, 33, 73] from Operation: 28+45=73 Current State: 72:[33, 33, 73], Operations: ['28+45=73'] Exploring Operation: 33/33=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 33/33=1 Current State: 72:[73, 1], Operations: ['28+45=73', '33/33=1'] Exploring Operation: 73-1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 73, 26, 19, 24 ]
52
[ "73-26=47", "24-19=5", "47+5=52" ]
Current State: 52:[73, 26, 19, 24], Operations: [] Exploring Operation: 73-26=47, Resulting Numbers: [19, 24, 47] Generated Node #2: [19, 24, 47] from Operation: 73-26=47 Current State: 52:[19, 24, 47], Operations: ['73-26=47'] Exploring Operation: 24-19=5, Resulting Numbers: [47, 5] Generated Node #3: [47, 5] from Operation: 24-19=5 Current State: 52:[47, 5], Operations: ['73-26=47', '24-19=5'] Exploring Operation: 47+5=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 1, 70, 12, 41 ]
98
[ "70-1=69", "41-12=29", "69+29=98" ]
Current State: 98:[1, 70, 12, 41], Operations: [] Exploring Operation: 70-1=69, Resulting Numbers: [12, 41, 69] Generated Node #2: [12, 41, 69] from Operation: 70-1=69 Current State: 98:[12, 41, 69], Operations: ['70-1=69'] Exploring Operation: 41-12=29, Resulting Numbers: [69, 29] Generated Node #3: [69, 29] from Operation: 41-12=29 Current State: 98:[69, 29], Operations: ['70-1=69', '41-12=29'] Exploring Operation: 69+29=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 87, 58, 15, 38 ]
28
[ "58*15=870", "870/87=10", "38-10=28" ]
Current State: 28:[87, 58, 15, 38], Operations: [] Exploring Operation: 58*15=870, Resulting Numbers: [87, 38, 870] Generated Node #2: [87, 38, 870] from Operation: 58*15=870 Current State: 28:[87, 38, 870], Operations: ['58*15=870'] Exploring Operation: 870/87=10, Resulting Numbers: [38, 10] Generated Node #3: [38, 10] from Operation: 870/87=10 Current State: 28:[38, 10], Operations: ['58*15=870', '870/87=10'] Exploring Operation: 38-10=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 54, 68, 92, 71 ]
23
[ "71-54=17", "68/17=4", "92/4=23" ]
Current State: 23:[54, 68, 92, 71], Operations: [] Exploring Operation: 71-54=17, Resulting Numbers: [68, 92, 17] Generated Node #2: [68, 92, 17] from Operation: 71-54=17 Current State: 23:[68, 92, 17], Operations: ['71-54=17'] Exploring Operation: 68/17=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation: 68/17=4 Current State: 23:[92, 4], Operations: ['71-54=17', '68/17=4'] Exploring Operation: 92/4=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 43, 17, 1, 65 ]
91
[ "43-17=26", "1*65=65", "26+65=91" ]
Current State: 91:[43, 17, 1, 65], Operations: [] Exploring Operation: 43-17=26, Resulting Numbers: [1, 65, 26] Generated Node #2: [1, 65, 26] from Operation: 43-17=26 Current State: 91:[1, 65, 26], Operations: ['43-17=26'] Exploring Operation: 1*65=65, Resulting Numbers: [26, 65] Generated Node #3: [26, 65] from Operation: 1*65=65 Current State: 91:[26, 65], Operations: ['43-17=26', '1*65=65'] Exploring Operation: 26+65=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 11, 50, 4, 16 ]
94
[ "11*16=176", "176/4=44", "50+44=94" ]
Current State: 94:[11, 50, 4, 16], Operations: [] Exploring Operation: 11*16=176, Resulting Numbers: [50, 4, 176] Generated Node #2: [50, 4, 176] from Operation: 11*16=176 Current State: 94:[50, 4, 176], Operations: ['11*16=176'] Exploring Operation: 176/4=44, Resulting Numbers: [50, 44] Generated Node #3: [50, 44] from Operation: 176/4=44 Current State: 94:[50, 44], Operations: ['11*16=176', '176/4=44'] Exploring Operation: 50+44=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 20, 13, 37, 15 ]
55
[ "20+13=33", "37-15=22", "33+22=55" ]
Current State: 55:[20, 13, 37, 15], Operations: [] Exploring Operation: 20+13=33, Resulting Numbers: [37, 15, 33] Generated Node #2: [37, 15, 33] from Operation: 20+13=33 Current State: 55:[37, 15, 33], Operations: ['20+13=33'] Exploring Operation: 37-15=22, Resulting Numbers: [33, 22] Generated Node #3: [33, 22] from Operation: 37-15=22 Current State: 55:[33, 22], Operations: ['20+13=33', '37-15=22'] Exploring Operation: 33+22=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 9, 52, 54, 19 ]
37
[ "54-52=2", "9*2=18", "19+18=37" ]
Current State: 37:[9, 52, 54, 19], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [9, 19, 2] Generated Node #2: [9, 19, 2] from Operation: 54-52=2 Current State: 37:[9, 19, 2], Operations: ['54-52=2'] Exploring Operation: 9*2=18, Resulting Numbers: [19, 18] Generated Node #3: [19, 18] from Operation: 9*2=18 Current State: 37:[19, 18], Operations: ['54-52=2', '9*2=18'] Exploring Operation: 19+18=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 46, 27, 41, 66 ]
88
[ "46-27=19", "41+66=107", "107-19=88" ]
Current State: 88:[46, 27, 41, 66], Operations: [] Exploring Operation: 46-27=19, Resulting Numbers: [41, 66, 19] Generated Node #2: [41, 66, 19] from Operation: 46-27=19 Current State: 88:[41, 66, 19], Operations: ['46-27=19'] Exploring Operation: 41+66=107, Resulting Numbers: [19, 107] Generated Node #3: [19, 107] from Operation: 41+66=107 Current State: 88:[19, 107], Operations: ['46-27=19', '41+66=107'] Exploring Operation: 107-19=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 69, 11, 9, 36 ]
66
[ "69-36=33", "11*9=99", "99-33=66" ]
Current State: 66:[69, 11, 9, 36], Operations: [] Exploring Operation: 69-36=33, Resulting Numbers: [11, 9, 33] Generated Node #2: [11, 9, 33] from Operation: 69-36=33 Current State: 66:[11, 9, 33], Operations: ['69-36=33'] Exploring Operation: 11*9=99, Resulting Numbers: [33, 99] Generated Node #3: [33, 99] from Operation: 11*9=99 Current State: 66:[33, 99], Operations: ['69-36=33', '11*9=99'] Exploring Operation: 99-33=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 37, 72, 38, 3 ]
47
[ "37+38=75", "75/3=25", "72-25=47" ]
Current State: 47:[37, 72, 38, 3], Operations: [] Exploring Operation: 37+38=75, Resulting Numbers: [72, 3, 75] Generated Node #2: [72, 3, 75] from Operation: 37+38=75 Current State: 47:[72, 3, 75], Operations: ['37+38=75'] Exploring Operation: 75/3=25, Resulting Numbers: [72, 25] Generated Node #3: [72, 25] from Operation: 75/3=25 Current State: 47:[72, 25], Operations: ['37+38=75', '75/3=25'] Exploring Operation: 72-25=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 20, 23, 2, 4 ]
29
[ "20/2=10", "23-4=19", "10+19=29" ]
Current State: 29:[20, 23, 2, 4], Operations: [] Exploring Operation: 20/2=10, Resulting Numbers: [23, 4, 10] Generated Node #2: [23, 4, 10] from Operation: 20/2=10 Current State: 29:[23, 4, 10], Operations: ['20/2=10'] Exploring Operation: 23-4=19, Resulting Numbers: [10, 19] Generated Node #3: [10, 19] from Operation: 23-4=19 Current State: 29:[10, 19], Operations: ['20/2=10', '23-4=19'] Exploring Operation: 10+19=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 42, 55, 9, 83 ]
87
[ "55-42=13", "83-9=74", "13+74=87" ]
Current State: 87:[42, 55, 9, 83], Operations: [] Exploring Operation: 55-42=13, Resulting Numbers: [9, 83, 13] Generated Node #2: [9, 83, 13] from Operation: 55-42=13 Current State: 87:[9, 83, 13], Operations: ['55-42=13'] Exploring Operation: 83-9=74, Resulting Numbers: [13, 74] Generated Node #3: [13, 74] from Operation: 83-9=74 Current State: 87:[13, 74], Operations: ['55-42=13', '83-9=74'] Exploring Operation: 13+74=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 28, 2, 62, 90 ]
79
[ "62-28=34", "90/2=45", "34+45=79" ]
Current State: 79:[28, 2, 62, 90], Operations: [] Exploring Operation: 62-28=34, Resulting Numbers: [2, 90, 34] Generated Node #2: [2, 90, 34] from Operation: 62-28=34 Current State: 79:[2, 90, 34], Operations: ['62-28=34'] Exploring Operation: 90/2=45, Resulting Numbers: [34, 45] Generated Node #3: [34, 45] from Operation: 90/2=45 Current State: 79:[34, 45], Operations: ['62-28=34', '90/2=45'] Exploring Operation: 34+45=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 56, 50, 48, 14 ]
68
[ "56-50=6", "48+14=62", "6+62=68" ]
Current State: 68:[56, 50, 48, 14], Operations: [] Exploring Operation: 56-50=6, Resulting Numbers: [48, 14, 6] Generated Node #2: [48, 14, 6] from Operation: 56-50=6 Current State: 68:[48, 14, 6], Operations: ['56-50=6'] Exploring Operation: 48+14=62, Resulting Numbers: [6, 62] Generated Node #3: [6, 62] from Operation: 48+14=62 Current State: 68:[6, 62], Operations: ['56-50=6', '48+14=62'] Exploring Operation: 6+62=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 77, 69, 24, 38 ]
54
[ "77-69=8", "24+38=62", "62-8=54" ]
Current State: 54:[77, 69, 24, 38], Operations: [] Exploring Operation: 77-69=8, Resulting Numbers: [24, 38, 8] Generated Node #2: [24, 38, 8] from Operation: 77-69=8 Current State: 54:[24, 38, 8], Operations: ['77-69=8'] Exploring Operation: 24+38=62, Resulting Numbers: [8, 62] Generated Node #3: [8, 62] from Operation: 24+38=62 Current State: 54:[8, 62], Operations: ['77-69=8', '24+38=62'] Exploring Operation: 62-8=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 27, 37, 19, 2 ]
14
[ "37-27=10", "10/2=5", "19-5=14" ]
Current State: 14:[27, 37, 19, 2], Operations: [] Exploring Operation: 37-27=10, Resulting Numbers: [19, 2, 10] Generated Node #2: [19, 2, 10] from Operation: 37-27=10 Current State: 14:[19, 2, 10], Operations: ['37-27=10'] Exploring Operation: 10/2=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 10/2=5 Current State: 14:[19, 5], Operations: ['37-27=10', '10/2=5'] Exploring Operation: 19-5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 54, 72, 19, 11 ]
26
[ "72-54=18", "19-11=8", "18+8=26" ]
Current State: 26:[54, 72, 19, 11], Operations: [] Exploring Operation: 72-54=18, Resulting Numbers: [19, 11, 18] Generated Node #2: [19, 11, 18] from Operation: 72-54=18 Current State: 26:[19, 11, 18], Operations: ['72-54=18'] Exploring Operation: 19-11=8, Resulting Numbers: [18, 8] Generated Node #3: [18, 8] from Operation: 19-11=8 Current State: 26:[18, 8], Operations: ['72-54=18', '19-11=8'] Exploring Operation: 18+8=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 42, 6, 92, 18 ]
52
[ "42-18=24", "6*24=144", "144-92=52" ]
Current State: 52:[42, 6, 92, 18], Operations: [] Exploring Operation: 42-18=24, Resulting Numbers: [6, 92, 24] Generated Node #2: [6, 92, 24] from Operation: 42-18=24 Current State: 52:[6, 92, 24], Operations: ['42-18=24'] Exploring Operation: 6*24=144, Resulting Numbers: [92, 144] Generated Node #3: [92, 144] from Operation: 6*24=144 Current State: 52:[92, 144], Operations: ['42-18=24', '6*24=144'] Exploring Operation: 144-92=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 48, 68, 46, 7 ]
54
[ "48-46=2", "7*2=14", "68-14=54" ]
Current State: 54:[48, 68, 46, 7], Operations: [] Exploring Operation: 48-46=2, Resulting Numbers: [68, 7, 2] Generated Node #2: [68, 7, 2] from Operation: 48-46=2 Current State: 54:[68, 7, 2], Operations: ['48-46=2'] Exploring Operation: 7*2=14, Resulting Numbers: [68, 14] Generated Node #3: [68, 14] from Operation: 7*2=14 Current State: 54:[68, 14], Operations: ['48-46=2', '7*2=14'] Exploring Operation: 68-14=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 17, 80, 64, 84 ]
21
[ "84-64=20", "80/20=4", "17+4=21" ]
Current State: 21:[17, 80, 64, 84], Operations: [] Exploring Operation: 84-64=20, Resulting Numbers: [17, 80, 20] Generated Node #2: [17, 80, 20] from Operation: 84-64=20 Current State: 21:[17, 80, 20], Operations: ['84-64=20'] Exploring Operation: 80/20=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 80/20=4 Current State: 21:[17, 4], Operations: ['84-64=20', '80/20=4'] Exploring Operation: 17+4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 3, 6, 92, 43 ]
45
[ "6-3=3", "92+43=135", "135/3=45" ]
Current State: 45:[3, 6, 92, 43], Operations: [] Exploring Operation: 6-3=3, Resulting Numbers: [92, 43, 3] Generated Node #2: [92, 43, 3] from Operation: 6-3=3 Current State: 45:[92, 43, 3], Operations: ['6-3=3'] Exploring Operation: 92+43=135, Resulting Numbers: [3, 135] Generated Node #3: [3, 135] from Operation: 92+43=135 Current State: 45:[3, 135], Operations: ['6-3=3', '92+43=135'] Exploring Operation: 135/3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 16, 16, 8, 8 ]
19
[ "16+8=24", "24/8=3", "16+3=19" ]
Current State: 19:[16, 16, 8, 8], Operations: [] Exploring Operation: 16+8=24, Resulting Numbers: [24] 24,19 equal: Goal Reached Exploring Operation: 24/8=3, Resulting Numbers: [3] 3,19 equal: Goal Reached Exploring Operation: 16+3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 62, 68, 49, 2 ]
92
[ "68-62=6", "49*2=98", "98-6=92" ]
Current State: 92:[62, 68, 49, 2], Operations: [] Exploring Operation: 68-62=6, Resulting Numbers: [49, 2, 6] Generated Node #2: [49, 2, 6] from Operation: 68-62=6 Current State: 92:[49, 2, 6], Operations: ['68-62=6'] Exploring Operation: 49*2=98, Resulting Numbers: [6, 98] Generated Node #3: [6, 98] from Operation: 49*2=98 Current State: 92:[6, 98], Operations: ['68-62=6', '49*2=98'] Exploring Operation: 98-6=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 12, 43, 28, 68 ]
71
[ "43-12=31", "68-28=40", "31+40=71" ]
Current State: 71:[12, 43, 28, 68], Operations: [] Exploring Operation: 43-12=31, Resulting Numbers: [28, 68, 31] Generated Node #2: [28, 68, 31] from Operation: 43-12=31 Current State: 71:[28, 68, 31], Operations: ['43-12=31'] Exploring Operation: 68-28=40, Resulting Numbers: [31, 40] Generated Node #3: [31, 40] from Operation: 68-28=40 Current State: 71:[31, 40], Operations: ['43-12=31', '68-28=40'] Exploring Operation: 31+40=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 5, 42, 76, 2 ]
44
[ "5*2=10", "76-42=34", "10+34=44" ]
Current State: 44:[5, 42, 76, 2], Operations: [] Exploring Operation: 5*2=10, Resulting Numbers: [42, 76, 10] Generated Node #2: [42, 76, 10] from Operation: 5*2=10 Current State: 44:[42, 76, 10], Operations: ['5*2=10'] Exploring Operation: 76-42=34, Resulting Numbers: [10, 34] Generated Node #3: [10, 34] from Operation: 76-42=34 Current State: 44:[10, 34], Operations: ['5*2=10', '76-42=34'] Exploring Operation: 10+34=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 28, 76, 77, 52 ]
81
[ "76-28=48", "77+52=129", "129-48=81" ]
Current State: 81:[28, 76, 77, 52], Operations: [] Exploring Operation: 76-28=48, Resulting Numbers: [77, 52, 48] Generated Node #2: [77, 52, 48] from Operation: 76-28=48 Current State: 81:[77, 52, 48], Operations: ['76-28=48'] Exploring Operation: 77+52=129, Resulting Numbers: [48, 129] Generated Node #3: [48, 129] from Operation: 77+52=129 Current State: 81:[48, 129], Operations: ['76-28=48', '77+52=129'] Exploring Operation: 129-48=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 42, 59, 72, 11 ]
28
[ "59-11=48", "42*48=2016", "2016/72=28" ]
Current State: 28:[42, 59, 72, 11], Operations: [] Exploring Operation: 59-11=48, Resulting Numbers: [42, 72, 48] Generated Node #2: [42, 72, 48] from Operation: 59-11=48 Current State: 28:[42, 72, 48], Operations: ['59-11=48'] Exploring Operation: 42*48=2016, Resulting Numbers: [72, 2016] Generated Node #3: [72, 2016] from Operation: 42*48=2016 Current State: 28:[72, 2016], Operations: ['59-11=48', '42*48=2016'] Exploring Operation: 2016/72=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 70, 95, 51, 17 ]
43
[ "95-70=25", "51+17=68", "68-25=43" ]
Current State: 43:[70, 95, 51, 17], Operations: [] Exploring Operation: 95-70=25, Resulting Numbers: [51, 17, 25] Generated Node #2: [51, 17, 25] from Operation: 95-70=25 Current State: 43:[51, 17, 25], Operations: ['95-70=25'] Exploring Operation: 51+17=68, Resulting Numbers: [25, 68] Generated Node #3: [25, 68] from Operation: 51+17=68 Current State: 43:[25, 68], Operations: ['95-70=25', '51+17=68'] Exploring Operation: 68-25=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 69, 5, 14, 97 ]
70
[ "69+14=83", "97-83=14", "5*14=70" ]
Current State: 70:[69, 5, 14, 97], Operations: [] Exploring Operation: 69+14=83, Resulting Numbers: [5, 97, 83] Generated Node #2: [5, 97, 83] from Operation: 69+14=83 Current State: 70:[5, 97, 83], Operations: ['69+14=83'] Exploring Operation: 97-83=14, Resulting Numbers: [5, 14] Generated Node #3: [5, 14] from Operation: 97-83=14 Current State: 70:[5, 14], Operations: ['69+14=83', '97-83=14'] Exploring Operation: 5*14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 87, 59, 34, 2 ]
40
[ "87-59=28", "34*2=68", "68-28=40" ]
Current State: 40:[87, 59, 34, 2], Operations: [] Exploring Operation: 87-59=28, Resulting Numbers: [34, 2, 28] Generated Node #2: [34, 2, 28] from Operation: 87-59=28 Current State: 40:[34, 2, 28], Operations: ['87-59=28'] Exploring Operation: 34*2=68, Resulting Numbers: [28, 68] Generated Node #3: [28, 68] from Operation: 34*2=68 Current State: 40:[28, 68], Operations: ['87-59=28', '34*2=68'] Exploring Operation: 68-28=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 23, 30, 86, 43 ]
38
[ "30*43=1290", "1290/86=15", "23+15=38" ]
Current State: 38:[23, 30, 86, 43], Operations: [] Exploring Operation: 30*43=1290, Resulting Numbers: [23, 86, 1290] Generated Node #2: [23, 86, 1290] from Operation: 30*43=1290 Current State: 38:[23, 86, 1290], Operations: ['30*43=1290'] Exploring Operation: 1290/86=15, Resulting Numbers: [23, 15] Generated Node #3: [23, 15] from Operation: 1290/86=15 Current State: 38:[23, 15], Operations: ['30*43=1290', '1290/86=15'] Exploring Operation: 23+15=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 21, 6, 18, 22 ]
14
[ "22-18=4", "21*4=84", "84/6=14" ]
Current State: 14:[21, 6, 18, 22], Operations: [] Exploring Operation: 22-18=4, Resulting Numbers: [21, 6, 4] Generated Node #2: [21, 6, 4] from Operation: 22-18=4 Current State: 14:[21, 6, 4], Operations: ['22-18=4'] Exploring Operation: 21*4=84, Resulting Numbers: [6, 84] Generated Node #3: [6, 84] from Operation: 21*4=84 Current State: 14:[6, 84], Operations: ['22-18=4', '21*4=84'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 36, 8, 24, 10 ]
98
[ "36*24=864", "864/8=108", "108-10=98" ]
Current State: 98:[36, 8, 24, 10], Operations: [] Exploring Operation: 36*24=864, Resulting Numbers: [8, 10, 864] Generated Node #2: [8, 10, 864] from Operation: 36*24=864 Current State: 98:[8, 10, 864], Operations: ['36*24=864'] Exploring Operation: 864/8=108, Resulting Numbers: [10, 108] Generated Node #3: [10, 108] from Operation: 864/8=108 Current State: 98:[10, 108], Operations: ['36*24=864', '864/8=108'] Exploring Operation: 108-10=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 15, 91, 8, 80 ]
67
[ "15-8=7", "91/7=13", "80-13=67" ]
Current State: 67:[15, 91, 8, 80], Operations: [] Exploring Operation: 15-8=7, Resulting Numbers: [91, 80, 7] Generated Node #2: [91, 80, 7] from Operation: 15-8=7 Current State: 67:[91, 80, 7], Operations: ['15-8=7'] Exploring Operation: 91/7=13, Resulting Numbers: [80, 13] Generated Node #3: [80, 13] from Operation: 91/7=13 Current State: 67:[80, 13], Operations: ['15-8=7', '91/7=13'] Exploring Operation: 80-13=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 10, 80, 41, 52 ]
19
[ "80/10=8", "52-41=11", "8+11=19" ]
Current State: 19:[10, 80, 41, 52], Operations: [] Exploring Operation: 80/10=8, Resulting Numbers: [41, 52, 8] Generated Node #2: [41, 52, 8] from Operation: 80/10=8 Current State: 19:[41, 52, 8], Operations: ['80/10=8'] Exploring Operation: 52-41=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 52-41=11 Current State: 19:[8, 11], Operations: ['80/10=8', '52-41=11'] Exploring Operation: 8+11=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 8, 54, 27, 40 ]
34
[ "40-8=32", "54/27=2", "32+2=34" ]
Current State: 34:[8, 54, 27, 40], Operations: [] Exploring Operation: 40-8=32, Resulting Numbers: [54, 27, 32] Generated Node #2: [54, 27, 32] from Operation: 40-8=32 Current State: 34:[54, 27, 32], Operations: ['40-8=32'] Exploring Operation: 54/27=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 54/27=2 Current State: 34:[32, 2], Operations: ['40-8=32', '54/27=2'] Exploring Operation: 32+2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 15, 61, 54, 43 ]
45
[ "15*54=810", "61-43=18", "810/18=45" ]
Current State: 45:[15, 61, 54, 43], Operations: [] Exploring Operation: 15*54=810, Resulting Numbers: [61, 43, 810] Generated Node #2: [61, 43, 810] from Operation: 15*54=810 Current State: 45:[61, 43, 810], Operations: ['15*54=810'] Exploring Operation: 61-43=18, Resulting Numbers: [810, 18] Generated Node #3: [810, 18] from Operation: 61-43=18 Current State: 45:[810, 18], Operations: ['15*54=810', '61-43=18'] Exploring Operation: 810/18=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 75, 9, 62, 85 ]
43
[ "75-9=66", "85-62=23", "66-23=43" ]
Current State: 43:[75, 9, 62, 85], Operations: [] Exploring Operation: 75-9=66, Resulting Numbers: [62, 85, 66] Generated Node #2: [62, 85, 66] from Operation: 75-9=66 Current State: 43:[62, 85, 66], Operations: ['75-9=66'] Exploring Operation: 85-62=23, Resulting Numbers: [66, 23] Generated Node #3: [66, 23] from Operation: 85-62=23 Current State: 43:[66, 23], Operations: ['75-9=66', '85-62=23'] Exploring Operation: 66-23=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 90, 45, 19, 82 ]
61
[ "90/45=2", "82-19=63", "63-2=61" ]
Current State: 61:[90, 45, 19, 82], Operations: [] Exploring Operation: 90/45=2, Resulting Numbers: [19, 82, 2] Generated Node #2: [19, 82, 2] from Operation: 90/45=2 Current State: 61:[19, 82, 2], Operations: ['90/45=2'] Exploring Operation: 82-19=63, Resulting Numbers: [2, 63] Generated Node #3: [2, 63] from Operation: 82-19=63 Current State: 61:[2, 63], Operations: ['90/45=2', '82-19=63'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 42, 8, 14, 96 ]
36
[ "42/14=3", "96/8=12", "3*12=36" ]
Current State: 36:[42, 8, 14, 96], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [8, 96, 3] Generated Node #2: [8, 96, 3] from Operation: 42/14=3 Current State: 36:[8, 96, 3], Operations: ['42/14=3'] Exploring Operation: 96/8=12, Resulting Numbers: [3, 12] Generated Node #3: [3, 12] from Operation: 96/8=12 Current State: 36:[3, 12], Operations: ['42/14=3', '96/8=12'] Exploring Operation: 3*12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 5, 2, 34, 33 ]
91
[ "34-5=29", "2*29=58", "33+58=91" ]
Current State: 91:[5, 2, 34, 33], Operations: [] Exploring Operation: 34-5=29, Resulting Numbers: [2, 33, 29] Generated Node #2: [2, 33, 29] from Operation: 34-5=29 Current State: 91:[2, 33, 29], Operations: ['34-5=29'] Exploring Operation: 2*29=58, Resulting Numbers: [33, 58] Generated Node #3: [33, 58] from Operation: 2*29=58 Current State: 91:[33, 58], Operations: ['34-5=29', '2*29=58'] Exploring Operation: 33+58=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 79, 95, 53, 39 ]
76
[ "95-79=16", "53+39=92", "92-16=76" ]
Current State: 76:[79, 95, 53, 39], Operations: [] Exploring Operation: 95-79=16, Resulting Numbers: [53, 39, 16] Generated Node #2: [53, 39, 16] from Operation: 95-79=16 Current State: 76:[53, 39, 16], Operations: ['95-79=16'] Exploring Operation: 53+39=92, Resulting Numbers: [16, 92] Generated Node #3: [16, 92] from Operation: 53+39=92 Current State: 76:[16, 92], Operations: ['95-79=16', '53+39=92'] Exploring Operation: 92-16=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 44, 70, 99, 59 ]
53
[ "70-59=11", "99/11=9", "44+9=53" ]
Current State: 53:[44, 70, 99, 59], Operations: [] Exploring Operation: 70-59=11, Resulting Numbers: [44, 99, 11] Generated Node #2: [44, 99, 11] from Operation: 70-59=11 Current State: 53:[44, 99, 11], Operations: ['70-59=11'] Exploring Operation: 99/11=9, Resulting Numbers: [44, 9] Generated Node #3: [44, 9] from Operation: 99/11=9 Current State: 53:[44, 9], Operations: ['70-59=11', '99/11=9'] Exploring Operation: 44+9=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 3, 36, 67, 71 ]
27
[ "3*36=108", "71-67=4", "108/4=27" ]
Current State: 27:[3, 36, 67, 71], Operations: [] Exploring Operation: 3*36=108, Resulting Numbers: [67, 71, 108] Generated Node #2: [67, 71, 108] from Operation: 3*36=108 Current State: 27:[67, 71, 108], Operations: ['3*36=108'] Exploring Operation: 71-67=4, Resulting Numbers: [108, 4] Generated Node #3: [108, 4] from Operation: 71-67=4 Current State: 27:[108, 4], Operations: ['3*36=108', '71-67=4'] Exploring Operation: 108/4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 63, 30, 1, 3 ]
90
[ "63+30=93", "1*3=3", "93-3=90" ]
Current State: 90:[63, 30, 1, 3], Operations: [] Exploring Operation: 63+30=93, Resulting Numbers: [1, 3, 93] Generated Node #2: [1, 3, 93] from Operation: 63+30=93 Current State: 90:[1, 3, 93], Operations: ['63+30=93'] Exploring Operation: 1*3=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 1*3=3 Current State: 90:[93, 3], Operations: ['63+30=93', '1*3=3'] Exploring Operation: 93-3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 2, 8, 3, 51 ]
68
[ "8/2=4", "51/3=17", "4*17=68" ]
Current State: 68:[2, 8, 3, 51], Operations: [] Exploring Operation: 8/2=4, Resulting Numbers: [3, 51, 4] Generated Node #2: [3, 51, 4] from Operation: 8/2=4 Current State: 68:[3, 51, 4], Operations: ['8/2=4'] Exploring Operation: 51/3=17, Resulting Numbers: [4, 17] Generated Node #3: [4, 17] from Operation: 51/3=17 Current State: 68:[4, 17], Operations: ['8/2=4', '51/3=17'] Exploring Operation: 4*17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 26, 34, 14, 43 ]
28
[ "43-26=17", "34*14=476", "476/17=28" ]
Current State: 28:[26, 34, 14, 43], Operations: [] Exploring Operation: 43-26=17, Resulting Numbers: [34, 14, 17] Generated Node #2: [34, 14, 17] from Operation: 43-26=17 Current State: 28:[34, 14, 17], Operations: ['43-26=17'] Exploring Operation: 34*14=476, Resulting Numbers: [17, 476] Generated Node #3: [17, 476] from Operation: 34*14=476 Current State: 28:[17, 476], Operations: ['43-26=17', '34*14=476'] Exploring Operation: 476/17=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 57, 82, 98, 16 ]
89
[ "82-57=25", "98+16=114", "114-25=89" ]
Current State: 89:[57, 82, 98, 16], Operations: [] Exploring Operation: 82-57=25, Resulting Numbers: [98, 16, 25] Generated Node #2: [98, 16, 25] from Operation: 82-57=25 Current State: 89:[98, 16, 25], Operations: ['82-57=25'] Exploring Operation: 98+16=114, Resulting Numbers: [25, 114] Generated Node #3: [25, 114] from Operation: 98+16=114 Current State: 89:[25, 114], Operations: ['82-57=25', '98+16=114'] Exploring Operation: 114-25=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 94, 81, 23, 20 ]
39
[ "94-81=13", "23-20=3", "13*3=39" ]
Current State: 39:[94, 81, 23, 20], Operations: [] Exploring Operation: 94-81=13, Resulting Numbers: [23, 20, 13] Generated Node #2: [23, 20, 13] from Operation: 94-81=13 Current State: 39:[23, 20, 13], Operations: ['94-81=13'] Exploring Operation: 23-20=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 23-20=3 Current State: 39:[13, 3], Operations: ['94-81=13', '23-20=3'] Exploring Operation: 13*3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 31, 33, 58, 37 ]
17
[ "31*33=1023", "1023-37=986", "986/58=17" ]
Current State: 17:[31, 33, 58, 37], Operations: [] Exploring Operation: 31*33=1023, Resulting Numbers: [58, 37, 1023] Generated Node #2: [58, 37, 1023] from Operation: 31*33=1023 Current State: 17:[58, 37, 1023], Operations: ['31*33=1023'] Exploring Operation: 1023-37=986, Resulting Numbers: [58, 986] Generated Node #3: [58, 986] from Operation: 1023-37=986 Current State: 17:[58, 986], Operations: ['31*33=1023', '1023-37=986'] Exploring Operation: 986/58=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 4, 72, 68, 75 ]
91
[ "72-68=4", "4*4=16", "75+16=91" ]
Current State: 91:[4, 72, 68, 75], Operations: [] Exploring Operation: 72-68=4, Resulting Numbers: [4, 75, 4] Generated Node #2: [4, 75, 4] from Operation: 72-68=4 Current State: 91:[4, 75, 4], Operations: ['72-68=4'] Exploring Operation: 4*4=16, Resulting Numbers: [75, 16] Generated Node #3: [75, 16] from Operation: 4*4=16 Current State: 91:[75, 16], Operations: ['72-68=4', '4*4=16'] Exploring Operation: 75+16=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 7, 76, 85, 74 ]
94
[ "7+76=83", "85-74=11", "83+11=94" ]
Current State: 94:[7, 76, 85, 74], Operations: [] Exploring Operation: 7+76=83, Resulting Numbers: [85, 74, 83] Generated Node #2: [85, 74, 83] from Operation: 7+76=83 Current State: 94:[85, 74, 83], Operations: ['7+76=83'] Exploring Operation: 85-74=11, Resulting Numbers: [83, 11] Generated Node #3: [83, 11] from Operation: 85-74=11 Current State: 94:[83, 11], Operations: ['7+76=83', '85-74=11'] Exploring Operation: 83+11=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 30, 22, 20, 28 ]
75
[ "22+28=50", "30*50=1500", "1500/20=75" ]
Current State: 75:[30, 22, 20, 28], Operations: [] Exploring Operation: 22+28=50, Resulting Numbers: [30, 20, 50] Generated Node #2: [30, 20, 50] from Operation: 22+28=50 Current State: 75:[30, 20, 50], Operations: ['22+28=50'] Exploring Operation: 30*50=1500, Resulting Numbers: [20, 1500] Generated Node #3: [20, 1500] from Operation: 30*50=1500 Current State: 75:[20, 1500], Operations: ['22+28=50', '30*50=1500'] Exploring Operation: 1500/20=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 11, 69, 72, 36 ]
47
[ "11*72=792", "792/36=22", "69-22=47" ]
Current State: 47:[11, 69, 72, 36], Operations: [] Exploring Operation: 11*72=792, Resulting Numbers: [69, 36, 792] Generated Node #2: [69, 36, 792] from Operation: 11*72=792 Current State: 47:[69, 36, 792], Operations: ['11*72=792'] Exploring Operation: 792/36=22, Resulting Numbers: [69, 22] Generated Node #3: [69, 22] from Operation: 792/36=22 Current State: 47:[69, 22], Operations: ['11*72=792', '792/36=22'] Exploring Operation: 69-22=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 44, 26, 49, 69 ]
50
[ "44+26=70", "69-49=20", "70-20=50" ]
Current State: 50:[44, 26, 49, 69], Operations: [] Exploring Operation: 44+26=70, Resulting Numbers: [49, 69, 70] Generated Node #2: [49, 69, 70] from Operation: 44+26=70 Current State: 50:[49, 69, 70], Operations: ['44+26=70'] Exploring Operation: 69-49=20, Resulting Numbers: [70, 20] Generated Node #3: [70, 20] from Operation: 69-49=20 Current State: 50:[70, 20], Operations: ['44+26=70', '69-49=20'] Exploring Operation: 70-20=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 69, 54, 11, 53 ]
80
[ "69+11=80", "54-53=1", "80*1=80" ]
Current State: 80:[69, 54, 11, 53], Operations: [] Exploring Operation: 69+11=80, Resulting Numbers: [54, 53, 80] Generated Node #2: [54, 53, 80] from Operation: 69+11=80 Current State: 80:[54, 53, 80], Operations: ['69+11=80'] Exploring Operation: 54-53=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 54-53=1 Current State: 80:[80, 1], Operations: ['69+11=80', '54-53=1'] Exploring Operation: 80*1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 58, 71, 29, 14 ]
61
[ "71-29=42", "42/14=3", "58+3=61" ]
Current State: 61:[58, 71, 29, 14], Operations: [] Exploring Operation: 71-29=42, Resulting Numbers: [58, 14, 42] Generated Node #2: [58, 14, 42] from Operation: 71-29=42 Current State: 61:[58, 14, 42], Operations: ['71-29=42'] Exploring Operation: 42/14=3, Resulting Numbers: [58, 3] Generated Node #3: [58, 3] from Operation: 42/14=3 Current State: 61:[58, 3], Operations: ['71-29=42', '42/14=3'] Exploring Operation: 58+3=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 85, 22, 91, 49 ]
77
[ "85-22=63", "91+49=140", "140-63=77" ]
Current State: 77:[85, 22, 91, 49], Operations: [] Exploring Operation: 85-22=63, Resulting Numbers: [91, 49, 63] Generated Node #2: [91, 49, 63] from Operation: 85-22=63 Current State: 77:[91, 49, 63], Operations: ['85-22=63'] Exploring Operation: 91+49=140, Resulting Numbers: [63, 140] Generated Node #3: [63, 140] from Operation: 91+49=140 Current State: 77:[63, 140], Operations: ['85-22=63', '91+49=140'] Exploring Operation: 140-63=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 13, 15, 24, 26 ]
38
[ "15-13=2", "24/2=12", "26+12=38" ]
Current State: 38:[13, 15, 24, 26], Operations: [] Exploring Operation: 15-13=2, Resulting Numbers: [24, 26, 2] Generated Node #2: [24, 26, 2] from Operation: 15-13=2 Current State: 38:[24, 26, 2], Operations: ['15-13=2'] Exploring Operation: 24/2=12, Resulting Numbers: [26, 12] Generated Node #3: [26, 12] from Operation: 24/2=12 Current State: 38:[26, 12], Operations: ['15-13=2', '24/2=12'] Exploring Operation: 26+12=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 15, 98, 32, 23 ]
37
[ "98-23=75", "75/15=5", "32+5=37" ]
Current State: 37:[15, 98, 32, 23], Operations: [] Exploring Operation: 98-23=75, Resulting Numbers: [15, 32, 75] Generated Node #2: [15, 32, 75] from Operation: 98-23=75 Current State: 37:[15, 32, 75], Operations: ['98-23=75'] Exploring Operation: 75/15=5, Resulting Numbers: [32, 5] Generated Node #3: [32, 5] from Operation: 75/15=5 Current State: 37:[32, 5], Operations: ['98-23=75', '75/15=5'] Exploring Operation: 32+5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 86, 74, 78, 76 ]
24
[ "86-74=12", "78-76=2", "12*2=24" ]
Current State: 24:[86, 74, 78, 76], Operations: [] Exploring Operation: 86-74=12, Resulting Numbers: [78, 76, 12] Generated Node #2: [78, 76, 12] from Operation: 86-74=12 Current State: 24:[78, 76, 12], Operations: ['86-74=12'] Exploring Operation: 78-76=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 78-76=2 Current State: 24:[12, 2], Operations: ['86-74=12', '78-76=2'] Exploring Operation: 12*2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 8, 98, 20, 97 ]
27
[ "98-8=90", "20+97=117", "117-90=27" ]
Current State: 27:[8, 98, 20, 97], Operations: [] Exploring Operation: 98-8=90, Resulting Numbers: [20, 97, 90] Generated Node #2: [20, 97, 90] from Operation: 98-8=90 Current State: 27:[20, 97, 90], Operations: ['98-8=90'] Exploring Operation: 20+97=117, Resulting Numbers: [90, 117] Generated Node #3: [90, 117] from Operation: 20+97=117 Current State: 27:[90, 117], Operations: ['98-8=90', '20+97=117'] Exploring Operation: 117-90=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 6, 70, 63, 46 ]
96
[ "70*63=4410", "6+4410=4416", "4416/46=96" ]
Current State: 96:[6, 70, 63, 46], Operations: [] Exploring Operation: 70*63=4410, Resulting Numbers: [6, 46, 4410] Generated Node #2: [6, 46, 4410] from Operation: 70*63=4410 Current State: 96:[6, 46, 4410], Operations: ['70*63=4410'] Exploring Operation: 6+4410=4416, Resulting Numbers: [46, 4416] Generated Node #3: [46, 4416] from Operation: 6+4410=4416 Current State: 96:[46, 4416], Operations: ['70*63=4410', '6+4410=4416'] Exploring Operation: 4416/46=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 24, 15, 60, 28 ]
17
[ "60/15=4", "28/4=7", "24-7=17" ]
Current State: 17:[24, 15, 60, 28], Operations: [] Exploring Operation: 60/15=4, Resulting Numbers: [24, 28, 4] Generated Node #2: [24, 28, 4] from Operation: 60/15=4 Current State: 17:[24, 28, 4], Operations: ['60/15=4'] Exploring Operation: 28/4=7, Resulting Numbers: [24, 7] Generated Node #3: [24, 7] from Operation: 28/4=7 Current State: 17:[24, 7], Operations: ['60/15=4', '28/4=7'] Exploring Operation: 24-7=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 72, 71, 2, 72 ]
24
[ "72-71=1", "2+1=3", "72/3=24" ]
Current State: 24:[72, 71, 2, 72], Operations: [] Exploring Operation: 72-71=1, Resulting Numbers: [2, 1] Generated Node #2: [2, 1] from Operation: 72-71=1 Current State: 24:[2, 1], Operations: ['72-71=1'] Exploring Operation: 2+1=3, Resulting Numbers: [3] 3,24 equal: Goal Reached Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 56, 32, 44, 63 ]
83
[ "56-32=24", "44+63=107", "107-24=83" ]
Current State: 83:[56, 32, 44, 63], Operations: [] Exploring Operation: 56-32=24, Resulting Numbers: [44, 63, 24] Generated Node #2: [44, 63, 24] from Operation: 56-32=24 Current State: 83:[44, 63, 24], Operations: ['56-32=24'] Exploring Operation: 44+63=107, Resulting Numbers: [24, 107] Generated Node #3: [24, 107] from Operation: 44+63=107 Current State: 83:[24, 107], Operations: ['56-32=24', '44+63=107'] Exploring Operation: 107-24=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 9, 7, 40, 5 ]
16
[ "9-7=2", "40/5=8", "2*8=16" ]
Current State: 16:[9, 7, 40, 5], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [40, 5, 2] Generated Node #2: [40, 5, 2] from Operation: 9-7=2 Current State: 16:[40, 5, 2], Operations: ['9-7=2'] Exploring Operation: 40/5=8, Resulting Numbers: [2, 8] Generated Node #3: [2, 8] from Operation: 40/5=8 Current State: 16:[2, 8], Operations: ['9-7=2', '40/5=8'] Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 36, 39, 76, 50 ]
51
[ "36+39=75", "76+50=126", "126-75=51" ]
Current State: 51:[36, 39, 76, 50], Operations: [] Exploring Operation: 36+39=75, Resulting Numbers: [76, 50, 75] Generated Node #2: [76, 50, 75] from Operation: 36+39=75 Current State: 51:[76, 50, 75], Operations: ['36+39=75'] Exploring Operation: 76+50=126, Resulting Numbers: [75, 126] Generated Node #3: [75, 126] from Operation: 76+50=126 Current State: 51:[75, 126], Operations: ['36+39=75', '76+50=126'] Exploring Operation: 126-75=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 51, 48, 1, 23 ]
20
[ "51-48=3", "1*23=23", "23-3=20" ]
Current State: 20:[51, 48, 1, 23], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [1, 23, 3] Generated Node #2: [1, 23, 3] from Operation: 51-48=3 Current State: 20:[1, 23, 3], Operations: ['51-48=3'] Exploring Operation: 1*23=23, Resulting Numbers: [3, 23] Generated Node #3: [3, 23] from Operation: 1*23=23 Current State: 20:[3, 23], Operations: ['51-48=3', '1*23=23'] Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 93, 84, 59, 91 ]
88
[ "93+84=177", "177/59=3", "91-3=88" ]
Current State: 88:[93, 84, 59, 91], Operations: [] Exploring Operation: 93+84=177, Resulting Numbers: [59, 91, 177] Generated Node #2: [59, 91, 177] from Operation: 93+84=177 Current State: 88:[59, 91, 177], Operations: ['93+84=177'] Exploring Operation: 177/59=3, Resulting Numbers: [91, 3] Generated Node #3: [91, 3] from Operation: 177/59=3 Current State: 88:[91, 3], Operations: ['93+84=177', '177/59=3'] Exploring Operation: 91-3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 27, 7, 7, 84 ]
98
[ "27*7=189", "7+84=91", "189-91=98" ]
Current State: 98:[27, 7, 7, 84], Operations: [] Exploring Operation: 27*7=189, Resulting Numbers: [84, 189] Generated Node #2: [84, 189] from Operation: 27*7=189 Current State: 98:[84, 189], Operations: ['27*7=189'] Exploring Operation: 7+84=91, Resulting Numbers: [189, 91] Generated Node #3: [189, 91] from Operation: 7+84=91 Current State: 98:[189, 91], Operations: ['27*7=189', '7+84=91'] Exploring Operation: 189-91=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 2, 90, 20, 76 ]
64
[ "90-20=70", "2*70=140", "140-76=64" ]
Current State: 64:[2, 90, 20, 76], Operations: [] Exploring Operation: 90-20=70, Resulting Numbers: [2, 76, 70] Generated Node #2: [2, 76, 70] from Operation: 90-20=70 Current State: 64:[2, 76, 70], Operations: ['90-20=70'] Exploring Operation: 2*70=140, Resulting Numbers: [76, 140] Generated Node #3: [76, 140] from Operation: 2*70=140 Current State: 64:[76, 140], Operations: ['90-20=70', '2*70=140'] Exploring Operation: 140-76=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 12, 1, 12, 76 ]
74
[ "12/12=1", "76-1=75", "75-1=74" ]
Current State: 74:[12, 1, 12, 76], Operations: [] Exploring Operation: 12/12=1, Resulting Numbers: [1, 76, 1] Generated Node #2: [1, 76, 1] from Operation: 12/12=1 Current State: 74:[1, 76, 1], Operations: ['12/12=1'] Exploring Operation: 76-1=75, Resulting Numbers: [75] 75,74 equal: Goal Reached Exploring Operation: 75-1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 88, 82, 16, 72 ]
50
[ "88-82=6", "72-16=56", "56-6=50" ]
Current State: 50:[88, 82, 16, 72], Operations: [] Exploring Operation: 88-82=6, Resulting Numbers: [16, 72, 6] Generated Node #2: [16, 72, 6] from Operation: 88-82=6 Current State: 50:[16, 72, 6], Operations: ['88-82=6'] Exploring Operation: 72-16=56, Resulting Numbers: [6, 56] Generated Node #3: [6, 56] from Operation: 72-16=56 Current State: 50:[6, 56], Operations: ['88-82=6', '72-16=56'] Exploring Operation: 56-6=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 74, 44, 39, 6 ]
15
[ "74-44=30", "39+6=45", "45-30=15" ]
Current State: 15:[74, 44, 39, 6], Operations: [] Exploring Operation: 74-44=30, Resulting Numbers: [39, 6, 30] Generated Node #2: [39, 6, 30] from Operation: 74-44=30 Current State: 15:[39, 6, 30], Operations: ['74-44=30'] Exploring Operation: 39+6=45, Resulting Numbers: [30, 45] Generated Node #3: [30, 45] from Operation: 39+6=45 Current State: 15:[30, 45], Operations: ['74-44=30', '39+6=45'] Exploring Operation: 45-30=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 83, 37, 68, 72 ]
50
[ "83-37=46", "72-68=4", "46+4=50" ]
Current State: 50:[83, 37, 68, 72], Operations: [] Exploring Operation: 83-37=46, Resulting Numbers: [68, 72, 46] Generated Node #2: [68, 72, 46] from Operation: 83-37=46 Current State: 50:[68, 72, 46], Operations: ['83-37=46'] Exploring Operation: 72-68=4, Resulting Numbers: [46, 4] Generated Node #3: [46, 4] from Operation: 72-68=4 Current State: 50:[46, 4], Operations: ['83-37=46', '72-68=4'] Exploring Operation: 46+4=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 36, 85, 26, 12 ]
62
[ "36/12=3", "85-26=59", "3+59=62" ]
Current State: 62:[36, 85, 26, 12], Operations: [] Exploring Operation: 36/12=3, Resulting Numbers: [85, 26, 3] Generated Node #2: [85, 26, 3] from Operation: 36/12=3 Current State: 62:[85, 26, 3], Operations: ['36/12=3'] Exploring Operation: 85-26=59, Resulting Numbers: [3, 59] Generated Node #3: [3, 59] from Operation: 85-26=59 Current State: 62:[3, 59], Operations: ['36/12=3', '85-26=59'] Exploring Operation: 3+59=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 66, 90, 32, 29 ]
72
[ "90-66=24", "32-29=3", "24*3=72" ]
Current State: 72:[66, 90, 32, 29], Operations: [] Exploring Operation: 90-66=24, Resulting Numbers: [32, 29, 24] Generated Node #2: [32, 29, 24] from Operation: 90-66=24 Current State: 72:[32, 29, 24], Operations: ['90-66=24'] Exploring Operation: 32-29=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 32-29=3 Current State: 72:[24, 3], Operations: ['90-66=24', '32-29=3'] Exploring Operation: 24*3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 82, 46, 82, 16 ]
63
[ "82/82=1", "46+16=62", "1+62=63" ]
Current State: 63:[82, 46, 82, 16], Operations: [] Exploring Operation: 82/82=1, Resulting Numbers: [46, 16, 1] Generated Node #2: [46, 16, 1] from Operation: 82/82=1 Current State: 63:[46, 16, 1], Operations: ['82/82=1'] Exploring Operation: 46+16=62, Resulting Numbers: [1, 62] Generated Node #3: [1, 62] from Operation: 46+16=62 Current State: 63:[1, 62], Operations: ['82/82=1', '46+16=62'] Exploring Operation: 1+62=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 46, 28, 57, 77 ]
35
[ "57-46=11", "77/11=7", "28+7=35" ]
Current State: 35:[46, 28, 57, 77], Operations: [] Exploring Operation: 57-46=11, Resulting Numbers: [28, 77, 11] Generated Node #2: [28, 77, 11] from Operation: 57-46=11 Current State: 35:[28, 77, 11], Operations: ['57-46=11'] Exploring Operation: 77/11=7, Resulting Numbers: [28, 7] Generated Node #3: [28, 7] from Operation: 77/11=7 Current State: 35:[28, 7], Operations: ['57-46=11', '77/11=7'] Exploring Operation: 28+7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 2, 69, 44, 29 ]
62
[ "44/2=22", "69-29=40", "22+40=62" ]
Current State: 62:[2, 69, 44, 29], Operations: [] Exploring Operation: 44/2=22, Resulting Numbers: [69, 29, 22] Generated Node #2: [69, 29, 22] from Operation: 44/2=22 Current State: 62:[69, 29, 22], Operations: ['44/2=22'] Exploring Operation: 69-29=40, Resulting Numbers: [22, 40] Generated Node #3: [22, 40] from Operation: 69-29=40 Current State: 62:[22, 40], Operations: ['44/2=22', '69-29=40'] Exploring Operation: 22+40=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 36, 8, 12, 57 ]
72
[ "36+12=48", "57-48=9", "8*9=72" ]
Current State: 72:[36, 8, 12, 57], Operations: [] Exploring Operation: 36+12=48, Resulting Numbers: [8, 57, 48] Generated Node #2: [8, 57, 48] from Operation: 36+12=48 Current State: 72:[8, 57, 48], Operations: ['36+12=48'] Exploring Operation: 57-48=9, Resulting Numbers: [8, 9] Generated Node #3: [8, 9] from Operation: 57-48=9 Current State: 72:[8, 9], Operations: ['36+12=48', '57-48=9'] Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 73, 39, 59, 78 ]
66
[ "73+59=132", "78/39=2", "132/2=66" ]
Current State: 66:[73, 39, 59, 78], Operations: [] Exploring Operation: 73+59=132, Resulting Numbers: [39, 78, 132] Generated Node #2: [39, 78, 132] from Operation: 73+59=132 Current State: 66:[39, 78, 132], Operations: ['73+59=132'] Exploring Operation: 78/39=2, Resulting Numbers: [132, 2] Generated Node #3: [132, 2] from Operation: 78/39=2 Current State: 66:[132, 2], Operations: ['73+59=132', '78/39=2'] Exploring Operation: 132/2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 6, 32, 70, 28 ]
72
[ "32-6=26", "70+28=98", "98-26=72" ]
Current State: 72:[6, 32, 70, 28], Operations: [] Exploring Operation: 32-6=26, Resulting Numbers: [70, 28, 26] Generated Node #2: [70, 28, 26] from Operation: 32-6=26 Current State: 72:[70, 28, 26], Operations: ['32-6=26'] Exploring Operation: 70+28=98, Resulting Numbers: [26, 98] Generated Node #3: [26, 98] from Operation: 70+28=98 Current State: 72:[26, 98], Operations: ['32-6=26', '70+28=98'] Exploring Operation: 98-26=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 39, 40, 23, 31 ]
54
[ "40-39=1", "23+31=54", "1*54=54" ]
Current State: 54:[39, 40, 23, 31], Operations: [] Exploring Operation: 40-39=1, Resulting Numbers: [23, 31, 1] Generated Node #2: [23, 31, 1] from Operation: 40-39=1 Current State: 54:[23, 31, 1], Operations: ['40-39=1'] Exploring Operation: 23+31=54, Resulting Numbers: [1, 54] Generated Node #3: [1, 54] from Operation: 23+31=54 Current State: 54:[1, 54], Operations: ['40-39=1', '23+31=54'] Exploring Operation: 1*54=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 7, 39, 7, 42 ]
21
[ "7*39=273", "7*42=294", "294-273=21" ]
Current State: 21:[7, 39, 7, 42], Operations: [] Exploring Operation: 7*39=273, Resulting Numbers: [42, 273] Generated Node #2: [42, 273] from Operation: 7*39=273 Current State: 21:[42, 273], Operations: ['7*39=273'] Exploring Operation: 7*42=294, Resulting Numbers: [273, 294] Generated Node #3: [273, 294] from Operation: 7*42=294 Current State: 21:[273, 294], Operations: ['7*39=273', '7*42=294'] Exploring Operation: 294-273=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 65, 69, 65, 23 ]
84
[ "69-65=4", "65+23=88", "88-4=84" ]
Current State: 84:[65, 69, 65, 23], Operations: [] Exploring Operation: 69-65=4, Resulting Numbers: [23, 4] Generated Node #2: [23, 4] from Operation: 69-65=4 Current State: 84:[23, 4], Operations: ['69-65=4'] Exploring Operation: 65+23=88, Resulting Numbers: [4, 88] Generated Node #3: [4, 88] from Operation: 65+23=88 Current State: 84:[4, 88], Operations: ['69-65=4', '65+23=88'] Exploring Operation: 88-4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 49, 32, 8, 74 ]
100
[ "74-49=25", "32/8=4", "25*4=100" ]
Current State: 100:[49, 32, 8, 74], Operations: [] Exploring Operation: 74-49=25, Resulting Numbers: [32, 8, 25] Generated Node #2: [32, 8, 25] from Operation: 74-49=25 Current State: 100:[32, 8, 25], Operations: ['74-49=25'] Exploring Operation: 32/8=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 32/8=4 Current State: 100:[25, 4], Operations: ['74-49=25', '32/8=4'] Exploring Operation: 25*4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 9, 37, 34, 9 ]
21
[ "9+37=46", "34-9=25", "46-25=21" ]
Current State: 21:[9, 37, 34, 9], Operations: [] Exploring Operation: 9+37=46, Resulting Numbers: [34, 46] Generated Node #2: [34, 46] from Operation: 9+37=46 Current State: 21:[34, 46], Operations: ['9+37=46'] Exploring Operation: 34-9=25, Resulting Numbers: [46, 25] Generated Node #3: [46, 25] from Operation: 34-9=25 Current State: 21:[46, 25], Operations: ['9+37=46', '34-9=25'] Exploring Operation: 46-25=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4