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, 22, 88, 14 ]
83
[ "96+14=110", "110/22=5", "88-5=83" ]
Current State: 83:[96, 22, 88, 14], Operations: [] Exploring Operation: 96+14=110, Resulting Numbers: [22, 88, 110] Generated Node #2: [22, 88, 110] from Operation: 96+14=110 Current State: 83:[22, 88, 110], Operations: ['96+14=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: ['96+14=110', '110/22=5'] Exploring Operation: 88-5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 26, 4, 49, 23 ]
50
[ "26-4=22", "49+23=72", "72-22=50" ]
Current State: 50:[26, 4, 49, 23], Operations: [] Exploring Operation: 26-4=22, Resulting Numbers: [49, 23, 22] Generated Node #2: [49, 23, 22] from Operation: 26-4=22 Current State: 50:[49, 23, 22], Operations: ['26-4=22'] Exploring Operation: 49+23=72, Resulting Numbers: [22, 72] Generated Node #3: [22, 72] from Operation: 49+23=72 Current State: 50:[22, 72], Operations: ['26-4=22', '49+23=72'] Exploring Operation: 72-22=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 1, 38, 74, 95 ]
58
[ "38-1=37", "95-74=21", "37+21=58" ]
Current State: 58:[1, 38, 74, 95], Operations: [] Exploring Operation: 38-1=37, Resulting Numbers: [74, 95, 37] Generated Node #2: [74, 95, 37] from Operation: 38-1=37 Current State: 58:[74, 95, 37], Operations: ['38-1=37'] Exploring Operation: 95-74=21, Resulting Numbers: [37, 21] Generated Node #3: [37, 21] from Operation: 95-74=21 Current State: 58:[37, 21], Operations: ['38-1=37', '95-74=21'] Exploring Operation: 37+21=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 88, 40, 8, 83 ]
81
[ "88-8=80", "80/40=2", "83-2=81" ]
Current State: 81:[88, 40, 8, 83], Operations: [] Exploring Operation: 88-8=80, Resulting Numbers: [40, 83, 80] Generated Node #2: [40, 83, 80] from Operation: 88-8=80 Current State: 81:[40, 83, 80], Operations: ['88-8=80'] Exploring Operation: 80/40=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 80/40=2 Current State: 81:[83, 2], Operations: ['88-8=80', '80/40=2'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 79, 12, 65, 77 ]
51
[ "79+12=91", "65+77=142", "142-91=51" ]
Current State: 51:[79, 12, 65, 77], Operations: [] Exploring Operation: 79+12=91, Resulting Numbers: [65, 77, 91] Generated Node #2: [65, 77, 91] from Operation: 79+12=91 Current State: 51:[65, 77, 91], Operations: ['79+12=91'] Exploring Operation: 65+77=142, Resulting Numbers: [91, 142] Generated Node #3: [91, 142] from Operation: 65+77=142 Current State: 51:[91, 142], Operations: ['79+12=91', '65+77=142'] Exploring Operation: 142-91=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 71, 18, 83, 41 ]
47
[ "71+18=89", "83-41=42", "89-42=47" ]
Current State: 47:[71, 18, 83, 41], Operations: [] Exploring Operation: 71+18=89, Resulting Numbers: [83, 41, 89] Generated Node #2: [83, 41, 89] from Operation: 71+18=89 Current State: 47:[83, 41, 89], Operations: ['71+18=89'] Exploring Operation: 83-41=42, Resulting Numbers: [89, 42] Generated Node #3: [89, 42] from Operation: 83-41=42 Current State: 47:[89, 42], Operations: ['71+18=89', '83-41=42'] Exploring Operation: 89-42=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 33, 65, 15, 13 ]
99
[ "33*15=495", "65/13=5", "495/5=99" ]
Current State: 99:[33, 65, 15, 13], Operations: [] Exploring Operation: 33*15=495, Resulting Numbers: [65, 13, 495] Generated Node #2: [65, 13, 495] from Operation: 33*15=495 Current State: 99:[65, 13, 495], Operations: ['33*15=495'] Exploring Operation: 65/13=5, Resulting Numbers: [495, 5] Generated Node #3: [495, 5] from Operation: 65/13=5 Current State: 99:[495, 5], Operations: ['33*15=495', '65/13=5'] Exploring Operation: 495/5=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 67, 62, 30, 98 ]
61
[ "67+62=129", "98-30=68", "129-68=61" ]
Current State: 61:[67, 62, 30, 98], Operations: [] Exploring Operation: 67+62=129, Resulting Numbers: [30, 98, 129] Generated Node #2: [30, 98, 129] from Operation: 67+62=129 Current State: 61:[30, 98, 129], Operations: ['67+62=129'] Exploring Operation: 98-30=68, Resulting Numbers: [129, 68] Generated Node #3: [129, 68] from Operation: 98-30=68 Current State: 61:[129, 68], Operations: ['67+62=129', '98-30=68'] Exploring Operation: 129-68=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 40, 22, 2, 5 ]
45
[ "40-22=18", "18/2=9", "5*9=45" ]
Current State: 45:[40, 22, 2, 5], Operations: [] Exploring Operation: 40-22=18, Resulting Numbers: [2, 5, 18] Generated Node #2: [2, 5, 18] from Operation: 40-22=18 Current State: 45:[2, 5, 18], Operations: ['40-22=18'] Exploring Operation: 18/2=9, Resulting Numbers: [5, 9] Generated Node #3: [5, 9] from Operation: 18/2=9 Current State: 45:[5, 9], Operations: ['40-22=18', '18/2=9'] Exploring Operation: 5*9=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 8, 36, 11, 53 ]
70
[ "36-8=28", "53-11=42", "28+42=70" ]
Current State: 70:[8, 36, 11, 53], Operations: [] Exploring Operation: 36-8=28, Resulting Numbers: [11, 53, 28] Generated Node #2: [11, 53, 28] from Operation: 36-8=28 Current State: 70:[11, 53, 28], Operations: ['36-8=28'] Exploring Operation: 53-11=42, Resulting Numbers: [28, 42] Generated Node #3: [28, 42] from Operation: 53-11=42 Current State: 70:[28, 42], Operations: ['36-8=28', '53-11=42'] Exploring Operation: 28+42=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 28, 38, 55, 66 ]
54
[ "28+38=66", "66/66=1", "55-1=54" ]
Current State: 54:[28, 38, 55, 66], Operations: [] Exploring Operation: 28+38=66, Resulting Numbers: [55, 66, 66] Generated Node #2: [55, 66, 66] from Operation: 28+38=66 Current State: 54:[55, 66, 66], Operations: ['28+38=66'] Exploring Operation: 66/66=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 66/66=1 Current State: 54:[55, 1], Operations: ['28+38=66', '66/66=1'] Exploring Operation: 55-1=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 48, 49, 1, 48 ]
50
[ "48+49=97", "48-1=47", "97-47=50" ]
Current State: 50:[48, 49, 1, 48], Operations: [] Exploring Operation: 48+49=97, Resulting Numbers: [1, 97] Generated Node #2: [1, 97] from Operation: 48+49=97 Current State: 50:[1, 97], Operations: ['48+49=97'] Exploring Operation: 48-1=47, Resulting Numbers: [97, 47] Generated Node #3: [97, 47] from Operation: 48-1=47 Current State: 50:[97, 47], Operations: ['48+49=97', '48-1=47'] Exploring Operation: 97-47=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 96, 25, 2, 87 ]
18
[ "96-25=71", "2+87=89", "89-71=18" ]
Current State: 18:[96, 25, 2, 87], Operations: [] Exploring Operation: 96-25=71, Resulting Numbers: [2, 87, 71] Generated Node #2: [2, 87, 71] from Operation: 96-25=71 Current State: 18:[2, 87, 71], Operations: ['96-25=71'] Exploring Operation: 2+87=89, Resulting Numbers: [71, 89] Generated Node #3: [71, 89] from Operation: 2+87=89 Current State: 18:[71, 89], Operations: ['96-25=71', '2+87=89'] Exploring Operation: 89-71=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 59, 61, 28, 18 ]
48
[ "61-59=2", "28+18=46", "2+46=48" ]
Current State: 48:[59, 61, 28, 18], Operations: [] Exploring Operation: 61-59=2, Resulting Numbers: [28, 18, 2] Generated Node #2: [28, 18, 2] from Operation: 61-59=2 Current State: 48:[28, 18, 2], Operations: ['61-59=2'] Exploring Operation: 28+18=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 28+18=46 Current State: 48:[2, 46], Operations: ['61-59=2', '28+18=46'] Exploring Operation: 2+46=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 78, 92, 49, 26 ]
89
[ "92-78=14", "49+26=75", "14+75=89" ]
Current State: 89:[78, 92, 49, 26], Operations: [] Exploring Operation: 92-78=14, Resulting Numbers: [49, 26, 14] Generated Node #2: [49, 26, 14] from Operation: 92-78=14 Current State: 89:[49, 26, 14], Operations: ['92-78=14'] Exploring Operation: 49+26=75, Resulting Numbers: [14, 75] Generated Node #3: [14, 75] from Operation: 49+26=75 Current State: 89:[14, 75], Operations: ['92-78=14', '49+26=75'] Exploring Operation: 14+75=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 5, 48, 50, 42 ]
52
[ "50-48=2", "5*2=10", "42+10=52" ]
Current State: 52:[5, 48, 50, 42], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [5, 42, 2] Generated Node #2: [5, 42, 2] from Operation: 50-48=2 Current State: 52:[5, 42, 2], Operations: ['50-48=2'] Exploring Operation: 5*2=10, Resulting Numbers: [42, 10] Generated Node #3: [42, 10] from Operation: 5*2=10 Current State: 52:[42, 10], Operations: ['50-48=2', '5*2=10'] Exploring Operation: 42+10=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 79, 5, 36, 92 ]
29
[ "92-79=13", "5*13=65", "65-36=29" ]
Current State: 29:[79, 5, 36, 92], Operations: [] Exploring Operation: 92-79=13, Resulting Numbers: [5, 36, 13] Generated Node #2: [5, 36, 13] from Operation: 92-79=13 Current State: 29:[5, 36, 13], Operations: ['92-79=13'] Exploring Operation: 5*13=65, Resulting Numbers: [36, 65] Generated Node #3: [36, 65] from Operation: 5*13=65 Current State: 29:[36, 65], Operations: ['92-79=13', '5*13=65'] Exploring Operation: 65-36=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 2, 92, 8, 64 ]
54
[ "92/2=46", "64/8=8", "46+8=54" ]
Current State: 54:[2, 92, 8, 64], Operations: [] Exploring Operation: 92/2=46, Resulting Numbers: [8, 64, 46] Generated Node #2: [8, 64, 46] from Operation: 92/2=46 Current State: 54:[8, 64, 46], Operations: ['92/2=46'] Exploring Operation: 64/8=8, Resulting Numbers: [46, 8] Generated Node #3: [46, 8] from Operation: 64/8=8 Current State: 54:[46, 8], Operations: ['92/2=46', '64/8=8'] Exploring Operation: 46+8=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 8, 2, 22, 88 ]
29
[ "8+22=30", "88-30=58", "58/2=29" ]
Current State: 29:[8, 2, 22, 88], Operations: [] Exploring Operation: 8+22=30, Resulting Numbers: [2, 88, 30] Generated Node #2: [2, 88, 30] from Operation: 8+22=30 Current State: 29:[2, 88, 30], Operations: ['8+22=30'] Exploring Operation: 88-30=58, Resulting Numbers: [2, 58] Generated Node #3: [2, 58] from Operation: 88-30=58 Current State: 29:[2, 58], Operations: ['8+22=30', '88-30=58'] Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 30, 3, 43, 55 ]
45
[ "30+3=33", "55-43=12", "33+12=45" ]
Current State: 45:[30, 3, 43, 55], Operations: [] Exploring Operation: 30+3=33, Resulting Numbers: [43, 55, 33] Generated Node #2: [43, 55, 33] from Operation: 30+3=33 Current State: 45:[43, 55, 33], Operations: ['30+3=33'] Exploring Operation: 55-43=12, Resulting Numbers: [33, 12] Generated Node #3: [33, 12] from Operation: 55-43=12 Current State: 45:[33, 12], Operations: ['30+3=33', '55-43=12'] Exploring Operation: 33+12=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 52, 14, 47, 94 ]
85
[ "52-14=38", "94-47=47", "38+47=85" ]
Current State: 85:[52, 14, 47, 94], Operations: [] Exploring Operation: 52-14=38, Resulting Numbers: [47, 94, 38] Generated Node #2: [47, 94, 38] from Operation: 52-14=38 Current State: 85:[47, 94, 38], Operations: ['52-14=38'] Exploring Operation: 94-47=47, Resulting Numbers: [38, 47] Generated Node #3: [38, 47] from Operation: 94-47=47 Current State: 85:[38, 47], Operations: ['52-14=38', '94-47=47'] Exploring Operation: 38+47=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 57, 41, 21, 66 ]
11
[ "57+41=98", "21+66=87", "98-87=11" ]
Current State: 11:[57, 41, 21, 66], Operations: [] Exploring Operation: 57+41=98, Resulting Numbers: [21, 66, 98] Generated Node #2: [21, 66, 98] from Operation: 57+41=98 Current State: 11:[21, 66, 98], Operations: ['57+41=98'] Exploring Operation: 21+66=87, Resulting Numbers: [98, 87] Generated Node #3: [98, 87] from Operation: 21+66=87 Current State: 11:[98, 87], Operations: ['57+41=98', '21+66=87'] Exploring Operation: 98-87=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 53, 22, 41, 59 ]
49
[ "53-22=31", "59-41=18", "31+18=49" ]
Current State: 49:[53, 22, 41, 59], Operations: [] Exploring Operation: 53-22=31, Resulting Numbers: [41, 59, 31] Generated Node #2: [41, 59, 31] from Operation: 53-22=31 Current State: 49:[41, 59, 31], Operations: ['53-22=31'] Exploring Operation: 59-41=18, Resulting Numbers: [31, 18] Generated Node #3: [31, 18] from Operation: 59-41=18 Current State: 49:[31, 18], Operations: ['53-22=31', '59-41=18'] Exploring Operation: 31+18=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 27, 69, 40, 70 ]
66
[ "27+69=96", "70-40=30", "96-30=66" ]
Current State: 66:[27, 69, 40, 70], Operations: [] Exploring Operation: 27+69=96, Resulting Numbers: [40, 70, 96] Generated Node #2: [40, 70, 96] from Operation: 27+69=96 Current State: 66:[40, 70, 96], Operations: ['27+69=96'] Exploring Operation: 70-40=30, Resulting Numbers: [96, 30] Generated Node #3: [96, 30] from Operation: 70-40=30 Current State: 66:[96, 30], Operations: ['27+69=96', '70-40=30'] Exploring Operation: 96-30=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 7, 51, 29, 72 ]
74
[ "7+51=58", "58/29=2", "72+2=74" ]
Current State: 74:[7, 51, 29, 72], Operations: [] Exploring Operation: 7+51=58, Resulting Numbers: [29, 72, 58] Generated Node #2: [29, 72, 58] from Operation: 7+51=58 Current State: 74:[29, 72, 58], Operations: ['7+51=58'] Exploring Operation: 58/29=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 58/29=2 Current State: 74:[72, 2], Operations: ['7+51=58', '58/29=2'] Exploring Operation: 72+2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 70, 39, 79, 84 ]
54
[ "70+39=109", "79+84=163", "163-109=54" ]
Current State: 54:[70, 39, 79, 84], Operations: [] Exploring Operation: 70+39=109, Resulting Numbers: [79, 84, 109] Generated Node #2: [79, 84, 109] from Operation: 70+39=109 Current State: 54:[79, 84, 109], Operations: ['70+39=109'] Exploring Operation: 79+84=163, Resulting Numbers: [109, 163] Generated Node #3: [109, 163] from Operation: 79+84=163 Current State: 54:[109, 163], Operations: ['70+39=109', '79+84=163'] Exploring Operation: 163-109=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 17, 55, 85, 26 ]
34
[ "85/17=5", "55-26=29", "5+29=34" ]
Current State: 34:[17, 55, 85, 26], Operations: [] Exploring Operation: 85/17=5, Resulting Numbers: [55, 26, 5] Generated Node #2: [55, 26, 5] from Operation: 85/17=5 Current State: 34:[55, 26, 5], Operations: ['85/17=5'] Exploring Operation: 55-26=29, Resulting Numbers: [5, 29] Generated Node #3: [5, 29] from Operation: 55-26=29 Current State: 34:[5, 29], Operations: ['85/17=5', '55-26=29'] Exploring Operation: 5+29=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 13, 2, 80, 6 ]
79
[ "80-13=67", "2*6=12", "67+12=79" ]
Current State: 79:[13, 2, 80, 6], Operations: [] Exploring Operation: 80-13=67, Resulting Numbers: [2, 6, 67] Generated Node #2: [2, 6, 67] from Operation: 80-13=67 Current State: 79:[2, 6, 67], Operations: ['80-13=67'] Exploring Operation: 2*6=12, Resulting Numbers: [67, 12] Generated Node #3: [67, 12] from Operation: 2*6=12 Current State: 79:[67, 12], Operations: ['80-13=67', '2*6=12'] Exploring Operation: 67+12=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 32, 3, 67, 13 ]
20
[ "32+67=99", "99/3=33", "33-13=20" ]
Current State: 20:[32, 3, 67, 13], Operations: [] Exploring Operation: 32+67=99, Resulting Numbers: [3, 13, 99] Generated Node #2: [3, 13, 99] from Operation: 32+67=99 Current State: 20:[3, 13, 99], Operations: ['32+67=99'] Exploring Operation: 99/3=33, Resulting Numbers: [13, 33] Generated Node #3: [13, 33] from Operation: 99/3=33 Current State: 20:[13, 33], Operations: ['32+67=99', '99/3=33'] Exploring Operation: 33-13=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 88, 43, 2, 10 ]
97
[ "88/2=44", "43+10=53", "44+53=97" ]
Current State: 97:[88, 43, 2, 10], Operations: [] Exploring Operation: 88/2=44, Resulting Numbers: [43, 10, 44] Generated Node #2: [43, 10, 44] from Operation: 88/2=44 Current State: 97:[43, 10, 44], Operations: ['88/2=44'] Exploring Operation: 43+10=53, Resulting Numbers: [44, 53] Generated Node #3: [44, 53] from Operation: 43+10=53 Current State: 97:[44, 53], Operations: ['88/2=44', '43+10=53'] Exploring Operation: 44+53=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 12, 41, 76, 12 ]
34
[ "12/12=1", "76-41=35", "35-1=34" ]
Current State: 34:[12, 41, 76, 12], Operations: [] Exploring Operation: 12/12=1, Resulting Numbers: [41, 76, 1] Generated Node #2: [41, 76, 1] from Operation: 12/12=1 Current State: 34:[41, 76, 1], Operations: ['12/12=1'] Exploring Operation: 76-41=35, Resulting Numbers: [1, 35] Generated Node #3: [1, 35] from Operation: 76-41=35 Current State: 34:[1, 35], Operations: ['12/12=1', '76-41=35'] Exploring Operation: 35-1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 81, 49, 55, 28 ]
98
[ "81-55=26", "28-26=2", "49*2=98" ]
Current State: 98:[81, 49, 55, 28], Operations: [] Exploring Operation: 81-55=26, Resulting Numbers: [49, 28, 26] Generated Node #2: [49, 28, 26] from Operation: 81-55=26 Current State: 98:[49, 28, 26], Operations: ['81-55=26'] Exploring Operation: 28-26=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 28-26=2 Current State: 98:[49, 2], Operations: ['81-55=26', '28-26=2'] Exploring Operation: 49*2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 33, 53, 62, 64 ]
40
[ "33+53=86", "62+64=126", "126-86=40" ]
Current State: 40:[33, 53, 62, 64], Operations: [] Exploring Operation: 33+53=86, Resulting Numbers: [62, 64, 86] Generated Node #2: [62, 64, 86] from Operation: 33+53=86 Current State: 40:[62, 64, 86], Operations: ['33+53=86'] Exploring Operation: 62+64=126, Resulting Numbers: [86, 126] Generated Node #3: [86, 126] from Operation: 62+64=126 Current State: 40:[86, 126], Operations: ['33+53=86', '62+64=126'] Exploring Operation: 126-86=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 6, 9, 4, 86 ]
97
[ "6+9=15", "86-4=82", "15+82=97" ]
Current State: 97:[6, 9, 4, 86], Operations: [] Exploring Operation: 6+9=15, Resulting Numbers: [4, 86, 15] Generated Node #2: [4, 86, 15] from Operation: 6+9=15 Current State: 97:[4, 86, 15], Operations: ['6+9=15'] Exploring Operation: 86-4=82, Resulting Numbers: [15, 82] Generated Node #3: [15, 82] from Operation: 86-4=82 Current State: 97:[15, 82], Operations: ['6+9=15', '86-4=82'] Exploring Operation: 15+82=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 54, 67, 2, 60 ]
86
[ "67-54=13", "2*13=26", "60+26=86" ]
Current State: 86:[54, 67, 2, 60], Operations: [] Exploring Operation: 67-54=13, Resulting Numbers: [2, 60, 13] Generated Node #2: [2, 60, 13] from Operation: 67-54=13 Current State: 86:[2, 60, 13], Operations: ['67-54=13'] Exploring Operation: 2*13=26, Resulting Numbers: [60, 26] Generated Node #3: [60, 26] from Operation: 2*13=26 Current State: 86:[60, 26], Operations: ['67-54=13', '2*13=26'] Exploring Operation: 60+26=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 45, 24, 32, 5 ]
58
[ "45-24=21", "32+5=37", "21+37=58" ]
Current State: 58:[45, 24, 32, 5], Operations: [] Exploring Operation: 45-24=21, Resulting Numbers: [32, 5, 21] Generated Node #2: [32, 5, 21] from Operation: 45-24=21 Current State: 58:[32, 5, 21], Operations: ['45-24=21'] Exploring Operation: 32+5=37, Resulting Numbers: [21, 37] Generated Node #3: [21, 37] from Operation: 32+5=37 Current State: 58:[21, 37], Operations: ['45-24=21', '32+5=37'] Exploring Operation: 21+37=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 13, 97, 50, 3 ]
40
[ "13+97=110", "50*3=150", "150-110=40" ]
Current State: 40:[13, 97, 50, 3], Operations: [] Exploring Operation: 13+97=110, Resulting Numbers: [50, 3, 110] Generated Node #2: [50, 3, 110] from Operation: 13+97=110 Current State: 40:[50, 3, 110], Operations: ['13+97=110'] Exploring Operation: 50*3=150, Resulting Numbers: [110, 150] Generated Node #3: [110, 150] from Operation: 50*3=150 Current State: 40:[110, 150], Operations: ['13+97=110', '50*3=150'] Exploring Operation: 150-110=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 7, 30, 2, 65 ]
39
[ "65-2=63", "63/7=9", "30+9=39" ]
Current State: 39:[7, 30, 2, 65], Operations: [] Exploring Operation: 65-2=63, Resulting Numbers: [7, 30, 63] Generated Node #2: [7, 30, 63] from Operation: 65-2=63 Current State: 39:[7, 30, 63], Operations: ['65-2=63'] Exploring Operation: 63/7=9, Resulting Numbers: [30, 9] Generated Node #3: [30, 9] from Operation: 63/7=9 Current State: 39:[30, 9], Operations: ['65-2=63', '63/7=9'] Exploring Operation: 30+9=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 27, 76, 63, 47 ]
33
[ "76-27=49", "63-47=16", "49-16=33" ]
Current State: 33:[27, 76, 63, 47], Operations: [] Exploring Operation: 76-27=49, Resulting Numbers: [63, 47, 49] Generated Node #2: [63, 47, 49] from Operation: 76-27=49 Current State: 33:[63, 47, 49], Operations: ['76-27=49'] Exploring Operation: 63-47=16, Resulting Numbers: [49, 16] Generated Node #3: [49, 16] from Operation: 63-47=16 Current State: 33:[49, 16], Operations: ['76-27=49', '63-47=16'] Exploring Operation: 49-16=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 87, 52, 15, 88 ]
36
[ "87+52=139", "15+88=103", "139-103=36" ]
Current State: 36:[87, 52, 15, 88], Operations: [] Exploring Operation: 87+52=139, Resulting Numbers: [15, 88, 139] Generated Node #2: [15, 88, 139] from Operation: 87+52=139 Current State: 36:[15, 88, 139], Operations: ['87+52=139'] Exploring Operation: 15+88=103, Resulting Numbers: [139, 103] Generated Node #3: [139, 103] from Operation: 15+88=103 Current State: 36:[139, 103], Operations: ['87+52=139', '15+88=103'] Exploring Operation: 139-103=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 11, 45, 5, 38 ]
58
[ "11+38=49", "45/5=9", "49+9=58" ]
Current State: 58:[11, 45, 5, 38], Operations: [] Exploring Operation: 11+38=49, Resulting Numbers: [45, 5, 49] Generated Node #2: [45, 5, 49] from Operation: 11+38=49 Current State: 58:[45, 5, 49], Operations: ['11+38=49'] Exploring Operation: 45/5=9, Resulting Numbers: [49, 9] Generated Node #3: [49, 9] from Operation: 45/5=9 Current State: 58:[49, 9], Operations: ['11+38=49', '45/5=9'] Exploring Operation: 49+9=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 96, 44, 81, 47 ]
69
[ "47-44=3", "81/3=27", "96-27=69" ]
Current State: 69:[96, 44, 81, 47], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [96, 81, 3] Generated Node #2: [96, 81, 3] from Operation: 47-44=3 Current State: 69:[96, 81, 3], Operations: ['47-44=3'] Exploring Operation: 81/3=27, Resulting Numbers: [96, 27] Generated Node #3: [96, 27] from Operation: 81/3=27 Current State: 69:[96, 27], Operations: ['47-44=3', '81/3=27'] Exploring Operation: 96-27=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 34, 9, 23, 29 ]
31
[ "34-9=25", "29-23=6", "25+6=31" ]
Current State: 31:[34, 9, 23, 29], Operations: [] Exploring Operation: 34-9=25, Resulting Numbers: [23, 29, 25] Generated Node #2: [23, 29, 25] from Operation: 34-9=25 Current State: 31:[23, 29, 25], Operations: ['34-9=25'] Exploring Operation: 29-23=6, Resulting Numbers: [25, 6] Generated Node #3: [25, 6] from Operation: 29-23=6 Current State: 31:[25, 6], Operations: ['34-9=25', '29-23=6'] Exploring Operation: 25+6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 24, 85, 38, 2 ]
46
[ "85-24=61", "61-38=23", "2*23=46" ]
Current State: 46:[24, 85, 38, 2], Operations: [] Exploring Operation: 85-24=61, Resulting Numbers: [38, 2, 61] Generated Node #2: [38, 2, 61] from Operation: 85-24=61 Current State: 46:[38, 2, 61], Operations: ['85-24=61'] Exploring Operation: 61-38=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 61-38=23 Current State: 46:[2, 23], Operations: ['85-24=61', '61-38=23'] Exploring Operation: 2*23=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 55, 9, 37, 19 ]
18
[ "55+19=74", "9*74=666", "666/37=18" ]
Current State: 18:[55, 9, 37, 19], Operations: [] Exploring Operation: 55+19=74, Resulting Numbers: [9, 37, 74] Generated Node #2: [9, 37, 74] from Operation: 55+19=74 Current State: 18:[9, 37, 74], Operations: ['55+19=74'] Exploring Operation: 9*74=666, Resulting Numbers: [37, 666] Generated Node #3: [37, 666] from Operation: 9*74=666 Current State: 18:[37, 666], Operations: ['55+19=74', '9*74=666'] Exploring Operation: 666/37=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 7, 51, 6, 56 ]
53
[ "56/7=8", "51-6=45", "8+45=53" ]
Current State: 53:[7, 51, 6, 56], Operations: [] Exploring Operation: 56/7=8, Resulting Numbers: [51, 6, 8] Generated Node #2: [51, 6, 8] from Operation: 56/7=8 Current State: 53:[51, 6, 8], Operations: ['56/7=8'] Exploring Operation: 51-6=45, Resulting Numbers: [8, 45] Generated Node #3: [8, 45] from Operation: 51-6=45 Current State: 53:[8, 45], Operations: ['56/7=8', '51-6=45'] Exploring Operation: 8+45=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 3, 11, 10, 44 ]
29
[ "10+44=54", "54/3=18", "11+18=29" ]
Current State: 29:[3, 11, 10, 44], Operations: [] Exploring Operation: 10+44=54, Resulting Numbers: [3, 11, 54] Generated Node #2: [3, 11, 54] from Operation: 10+44=54 Current State: 29:[3, 11, 54], Operations: ['10+44=54'] Exploring Operation: 54/3=18, Resulting Numbers: [11, 18] Generated Node #3: [11, 18] from Operation: 54/3=18 Current State: 29:[11, 18], Operations: ['10+44=54', '54/3=18'] Exploring Operation: 11+18=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 46, 19, 62, 64 ]
67
[ "46+19=65", "64-62=2", "65+2=67" ]
Current State: 67:[46, 19, 62, 64], Operations: [] Exploring Operation: 46+19=65, Resulting Numbers: [62, 64, 65] Generated Node #2: [62, 64, 65] from Operation: 46+19=65 Current State: 67:[62, 64, 65], Operations: ['46+19=65'] Exploring Operation: 64-62=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 64-62=2 Current State: 67:[65, 2], Operations: ['46+19=65', '64-62=2'] Exploring Operation: 65+2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 52, 18, 96, 40 ]
14
[ "52+18=70", "96-40=56", "70-56=14" ]
Current State: 14:[52, 18, 96, 40], Operations: [] Exploring Operation: 52+18=70, Resulting Numbers: [96, 40, 70] Generated Node #2: [96, 40, 70] from Operation: 52+18=70 Current State: 14:[96, 40, 70], Operations: ['52+18=70'] Exploring Operation: 96-40=56, Resulting Numbers: [70, 56] Generated Node #3: [70, 56] from Operation: 96-40=56 Current State: 14:[70, 56], Operations: ['52+18=70', '96-40=56'] Exploring Operation: 70-56=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 7, 98, 54, 98 ]
30
[ "98/7=14", "98-54=44", "44-14=30" ]
Current State: 30:[7, 98, 54, 98], Operations: [] Exploring Operation: 98/7=14, Resulting Numbers: [54, 14] Generated Node #2: [54, 14] from Operation: 98/7=14 Current State: 30:[54, 14], Operations: ['98/7=14'] Exploring Operation: 98-54=44, Resulting Numbers: [14, 44] Generated Node #3: [14, 44] from Operation: 98-54=44 Current State: 30:[14, 44], Operations: ['98/7=14', '98-54=44'] Exploring Operation: 44-14=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 13, 74, 46, 66 ]
41
[ "74-13=61", "66-46=20", "61-20=41" ]
Current State: 41:[13, 74, 46, 66], Operations: [] Exploring Operation: 74-13=61, Resulting Numbers: [46, 66, 61] Generated Node #2: [46, 66, 61] from Operation: 74-13=61 Current State: 41:[46, 66, 61], Operations: ['74-13=61'] Exploring Operation: 66-46=20, Resulting Numbers: [61, 20] Generated Node #3: [61, 20] from Operation: 66-46=20 Current State: 41:[61, 20], Operations: ['74-13=61', '66-46=20'] Exploring Operation: 61-20=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 98, 94, 8, 7 ]
18
[ "98*8=784", "784/7=112", "112-94=18" ]
Current State: 18:[98, 94, 8, 7], Operations: [] Exploring Operation: 98*8=784, Resulting Numbers: [94, 7, 784] Generated Node #2: [94, 7, 784] from Operation: 98*8=784 Current State: 18:[94, 7, 784], Operations: ['98*8=784'] Exploring Operation: 784/7=112, Resulting Numbers: [94, 112] Generated Node #3: [94, 112] from Operation: 784/7=112 Current State: 18:[94, 112], Operations: ['98*8=784', '784/7=112'] Exploring Operation: 112-94=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 69, 63, 18, 75 ]
20
[ "63+75=138", "138/69=2", "18+2=20" ]
Current State: 20:[69, 63, 18, 75], Operations: [] Exploring Operation: 63+75=138, Resulting Numbers: [69, 18, 138] Generated Node #2: [69, 18, 138] from Operation: 63+75=138 Current State: 20:[69, 18, 138], Operations: ['63+75=138'] Exploring Operation: 138/69=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 138/69=2 Current State: 20:[18, 2], Operations: ['63+75=138', '138/69=2'] Exploring Operation: 18+2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 23, 16, 58, 46 ]
51
[ "23+16=39", "58-46=12", "39+12=51" ]
Current State: 51:[23, 16, 58, 46], Operations: [] Exploring Operation: 23+16=39, Resulting Numbers: [58, 46, 39] Generated Node #2: [58, 46, 39] from Operation: 23+16=39 Current State: 51:[58, 46, 39], Operations: ['23+16=39'] Exploring Operation: 58-46=12, Resulting Numbers: [39, 12] Generated Node #3: [39, 12] from Operation: 58-46=12 Current State: 51:[39, 12], Operations: ['23+16=39', '58-46=12'] Exploring Operation: 39+12=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 80, 46, 82, 96 ]
100
[ "82-80=2", "96-46=50", "2*50=100" ]
Current State: 100:[80, 46, 82, 96], Operations: [] Exploring Operation: 82-80=2, Resulting Numbers: [46, 96, 2] Generated Node #2: [46, 96, 2] from Operation: 82-80=2 Current State: 100:[46, 96, 2], Operations: ['82-80=2'] Exploring Operation: 96-46=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 96-46=50 Current State: 100:[2, 50], Operations: ['82-80=2', '96-46=50'] Exploring Operation: 2*50=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 48, 47, 94, 16 ]
62
[ "48+16=64", "94/47=2", "64-2=62" ]
Current State: 62:[48, 47, 94, 16], Operations: [] Exploring Operation: 48+16=64, Resulting Numbers: [47, 94, 64] Generated Node #2: [47, 94, 64] from Operation: 48+16=64 Current State: 62:[47, 94, 64], Operations: ['48+16=64'] Exploring Operation: 94/47=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 94/47=2 Current State: 62:[64, 2], Operations: ['48+16=64', '94/47=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 90, 96, 39, 60 ]
49
[ "96-90=6", "60/6=10", "39+10=49" ]
Current State: 49:[90, 96, 39, 60], Operations: [] Exploring Operation: 96-90=6, Resulting Numbers: [39, 60, 6] Generated Node #2: [39, 60, 6] from Operation: 96-90=6 Current State: 49:[39, 60, 6], Operations: ['96-90=6'] Exploring Operation: 60/6=10, Resulting Numbers: [39, 10] Generated Node #3: [39, 10] from Operation: 60/6=10 Current State: 49:[39, 10], Operations: ['96-90=6', '60/6=10'] Exploring Operation: 39+10=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 8, 6, 43, 24 ]
19
[ "8*6=48", "43+24=67", "67-48=19" ]
Current State: 19:[8, 6, 43, 24], Operations: [] Exploring Operation: 8*6=48, Resulting Numbers: [43, 24, 48] Generated Node #2: [43, 24, 48] from Operation: 8*6=48 Current State: 19:[43, 24, 48], Operations: ['8*6=48'] Exploring Operation: 43+24=67, Resulting Numbers: [48, 67] Generated Node #3: [48, 67] from Operation: 43+24=67 Current State: 19:[48, 67], Operations: ['8*6=48', '43+24=67'] Exploring Operation: 67-48=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 3, 50, 17, 73 ]
72
[ "3*17=51", "50+73=123", "123-51=72" ]
Current State: 72:[3, 50, 17, 73], Operations: [] Exploring Operation: 3*17=51, Resulting Numbers: [50, 73, 51] Generated Node #2: [50, 73, 51] from Operation: 3*17=51 Current State: 72:[50, 73, 51], Operations: ['3*17=51'] Exploring Operation: 50+73=123, Resulting Numbers: [51, 123] Generated Node #3: [51, 123] from Operation: 50+73=123 Current State: 72:[51, 123], Operations: ['3*17=51', '50+73=123'] Exploring Operation: 123-51=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 67, 69, 1, 74 ]
77
[ "69-67=2", "1+74=75", "2+75=77" ]
Current State: 77:[67, 69, 1, 74], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [1, 74, 2] Generated Node #2: [1, 74, 2] from Operation: 69-67=2 Current State: 77:[1, 74, 2], Operations: ['69-67=2'] Exploring Operation: 1+74=75, Resulting Numbers: [2, 75] Generated Node #3: [2, 75] from Operation: 1+74=75 Current State: 77:[2, 75], Operations: ['69-67=2', '1+74=75'] Exploring Operation: 2+75=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 42, 13, 67, 10 ]
34
[ "13+67=80", "80/10=8", "42-8=34" ]
Current State: 34:[42, 13, 67, 10], Operations: [] Exploring Operation: 13+67=80, Resulting Numbers: [42, 10, 80] Generated Node #2: [42, 10, 80] from Operation: 13+67=80 Current State: 34:[42, 10, 80], Operations: ['13+67=80'] Exploring Operation: 80/10=8, Resulting Numbers: [42, 8] Generated Node #3: [42, 8] from Operation: 80/10=8 Current State: 34:[42, 8], Operations: ['13+67=80', '80/10=8'] Exploring Operation: 42-8=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 97, 39, 63, 7 ]
80
[ "97+39=136", "63-7=56", "136-56=80" ]
Current State: 80:[97, 39, 63, 7], Operations: [] Exploring Operation: 97+39=136, Resulting Numbers: [63, 7, 136] Generated Node #2: [63, 7, 136] from Operation: 97+39=136 Current State: 80:[63, 7, 136], Operations: ['97+39=136'] Exploring Operation: 63-7=56, Resulting Numbers: [136, 56] Generated Node #3: [136, 56] from Operation: 63-7=56 Current State: 80:[136, 56], Operations: ['97+39=136', '63-7=56'] Exploring Operation: 136-56=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 79, 1, 37, 74 ]
40
[ "79+1=80", "74/37=2", "80/2=40" ]
Current State: 40:[79, 1, 37, 74], Operations: [] Exploring Operation: 79+1=80, Resulting Numbers: [37, 74, 80] Generated Node #2: [37, 74, 80] from Operation: 79+1=80 Current State: 40:[37, 74, 80], Operations: ['79+1=80'] Exploring Operation: 74/37=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 74/37=2 Current State: 40:[80, 2], Operations: ['79+1=80', '74/37=2'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 45, 4, 66, 28 ]
11
[ "45+4=49", "66-28=38", "49-38=11" ]
Current State: 11:[45, 4, 66, 28], Operations: [] Exploring Operation: 45+4=49, Resulting Numbers: [66, 28, 49] Generated Node #2: [66, 28, 49] from Operation: 45+4=49 Current State: 11:[66, 28, 49], Operations: ['45+4=49'] Exploring Operation: 66-28=38, Resulting Numbers: [49, 38] Generated Node #3: [49, 38] from Operation: 66-28=38 Current State: 11:[49, 38], Operations: ['45+4=49', '66-28=38'] Exploring Operation: 49-38=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 19, 6, 80, 37 ]
68
[ "19+6=25", "80-37=43", "25+43=68" ]
Current State: 68:[19, 6, 80, 37], Operations: [] Exploring Operation: 19+6=25, Resulting Numbers: [80, 37, 25] Generated Node #2: [80, 37, 25] from Operation: 19+6=25 Current State: 68:[80, 37, 25], Operations: ['19+6=25'] Exploring Operation: 80-37=43, Resulting Numbers: [25, 43] Generated Node #3: [25, 43] from Operation: 80-37=43 Current State: 68:[25, 43], Operations: ['19+6=25', '80-37=43'] Exploring Operation: 25+43=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 75, 22, 74, 41 ]
19
[ "75-74=1", "41-22=19", "1*19=19" ]
Current State: 19:[75, 22, 74, 41], Operations: [] Exploring Operation: 75-74=1, Resulting Numbers: [22, 41, 1] Generated Node #2: [22, 41, 1] from Operation: 75-74=1 Current State: 19:[22, 41, 1], Operations: ['75-74=1'] Exploring Operation: 41-22=19, Resulting Numbers: [1, 19] Generated Node #3: [1, 19] from Operation: 41-22=19 Current State: 19:[1, 19], Operations: ['75-74=1', '41-22=19'] Exploring Operation: 1*19=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 48, 18, 15, 48 ]
46
[ "48-18=30", "30/15=2", "48-2=46" ]
Current State: 46:[48, 18, 15, 48], Operations: [] Exploring Operation: 48-18=30, Resulting Numbers: [15, 30] Generated Node #2: [15, 30] from Operation: 48-18=30 Current State: 46:[15, 30], Operations: ['48-18=30'] Exploring Operation: 30/15=2, Resulting Numbers: [2] 2,46 equal: Goal Reached Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 21, 11, 70, 44 ]
95
[ "21+70=91", "44/11=4", "91+4=95" ]
Current State: 95:[21, 11, 70, 44], Operations: [] Exploring Operation: 21+70=91, Resulting Numbers: [11, 44, 91] Generated Node #2: [11, 44, 91] from Operation: 21+70=91 Current State: 95:[11, 44, 91], Operations: ['21+70=91'] Exploring Operation: 44/11=4, Resulting Numbers: [91, 4] Generated Node #3: [91, 4] from Operation: 44/11=4 Current State: 95:[91, 4], Operations: ['21+70=91', '44/11=4'] Exploring Operation: 91+4=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 31, 40, 2, 96 ]
99
[ "40+96=136", "136/2=68", "31+68=99" ]
Current State: 99:[31, 40, 2, 96], Operations: [] Exploring Operation: 40+96=136, Resulting Numbers: [31, 2, 136] Generated Node #2: [31, 2, 136] from Operation: 40+96=136 Current State: 99:[31, 2, 136], Operations: ['40+96=136'] Exploring Operation: 136/2=68, Resulting Numbers: [31, 68] Generated Node #3: [31, 68] from Operation: 136/2=68 Current State: 99:[31, 68], Operations: ['40+96=136', '136/2=68'] Exploring Operation: 31+68=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 86, 2, 90, 34 ]
19
[ "90-86=4", "34+4=38", "38/2=19" ]
Current State: 19:[86, 2, 90, 34], Operations: [] Exploring Operation: 90-86=4, Resulting Numbers: [2, 34, 4] Generated Node #2: [2, 34, 4] from Operation: 90-86=4 Current State: 19:[2, 34, 4], Operations: ['90-86=4'] Exploring Operation: 34+4=38, Resulting Numbers: [2, 38] Generated Node #3: [2, 38] from Operation: 34+4=38 Current State: 19:[2, 38], Operations: ['90-86=4', '34+4=38'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 82, 11, 51, 80 ]
60
[ "82-11=71", "51+80=131", "131-71=60" ]
Current State: 60:[82, 11, 51, 80], Operations: [] Exploring Operation: 82-11=71, Resulting Numbers: [51, 80, 71] Generated Node #2: [51, 80, 71] from Operation: 82-11=71 Current State: 60:[51, 80, 71], Operations: ['82-11=71'] Exploring Operation: 51+80=131, Resulting Numbers: [71, 131] Generated Node #3: [71, 131] from Operation: 51+80=131 Current State: 60:[71, 131], Operations: ['82-11=71', '51+80=131'] Exploring Operation: 131-71=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 52, 24, 63, 13 ]
48
[ "52-24=28", "63+13=76", "76-28=48" ]
Current State: 48:[52, 24, 63, 13], Operations: [] Exploring Operation: 52-24=28, Resulting Numbers: [63, 13, 28] Generated Node #2: [63, 13, 28] from Operation: 52-24=28 Current State: 48:[63, 13, 28], Operations: ['52-24=28'] Exploring Operation: 63+13=76, Resulting Numbers: [28, 76] Generated Node #3: [28, 76] from Operation: 63+13=76 Current State: 48:[28, 76], Operations: ['52-24=28', '63+13=76'] Exploring Operation: 76-28=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 10, 76, 5, 72 ]
98
[ "10*5=50", "76+72=148", "148-50=98" ]
Current State: 98:[10, 76, 5, 72], Operations: [] Exploring Operation: 10*5=50, Resulting Numbers: [76, 72, 50] Generated Node #2: [76, 72, 50] from Operation: 10*5=50 Current State: 98:[76, 72, 50], Operations: ['10*5=50'] Exploring Operation: 76+72=148, Resulting Numbers: [50, 148] Generated Node #3: [50, 148] from Operation: 76+72=148 Current State: 98:[50, 148], Operations: ['10*5=50', '76+72=148'] Exploring Operation: 148-50=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 67, 72, 18, 73 ]
11
[ "72-67=5", "73-18=55", "55/5=11" ]
Current State: 11:[67, 72, 18, 73], Operations: [] Exploring Operation: 72-67=5, Resulting Numbers: [18, 73, 5] Generated Node #2: [18, 73, 5] from Operation: 72-67=5 Current State: 11:[18, 73, 5], Operations: ['72-67=5'] Exploring Operation: 73-18=55, Resulting Numbers: [5, 55] Generated Node #3: [5, 55] from Operation: 73-18=55 Current State: 11:[5, 55], Operations: ['72-67=5', '73-18=55'] Exploring Operation: 55/5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 44, 77, 88, 2 ]
57
[ "77-44=33", "88+2=90", "90-33=57" ]
Current State: 57:[44, 77, 88, 2], Operations: [] Exploring Operation: 77-44=33, Resulting Numbers: [88, 2, 33] Generated Node #2: [88, 2, 33] from Operation: 77-44=33 Current State: 57:[88, 2, 33], Operations: ['77-44=33'] Exploring Operation: 88+2=90, Resulting Numbers: [33, 90] Generated Node #3: [33, 90] from Operation: 88+2=90 Current State: 57:[33, 90], Operations: ['77-44=33', '88+2=90'] Exploring Operation: 90-33=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 69, 38, 26, 4 ]
73
[ "69-38=31", "26*4=104", "104-31=73" ]
Current State: 73:[69, 38, 26, 4], Operations: [] Exploring Operation: 69-38=31, Resulting Numbers: [26, 4, 31] Generated Node #2: [26, 4, 31] from Operation: 69-38=31 Current State: 73:[26, 4, 31], Operations: ['69-38=31'] Exploring Operation: 26*4=104, Resulting Numbers: [31, 104] Generated Node #3: [31, 104] from Operation: 26*4=104 Current State: 73:[31, 104], Operations: ['69-38=31', '26*4=104'] Exploring Operation: 104-31=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 65, 54, 3, 39 ]
84
[ "65-54=11", "39-11=28", "3*28=84" ]
Current State: 84:[65, 54, 3, 39], Operations: [] Exploring Operation: 65-54=11, Resulting Numbers: [3, 39, 11] Generated Node #2: [3, 39, 11] from Operation: 65-54=11 Current State: 84:[3, 39, 11], Operations: ['65-54=11'] Exploring Operation: 39-11=28, Resulting Numbers: [3, 28] Generated Node #3: [3, 28] from Operation: 39-11=28 Current State: 84:[3, 28], Operations: ['65-54=11', '39-11=28'] Exploring Operation: 3*28=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 65, 9, 29, 28 ]
24
[ "65-29=36", "36/9=4", "28-4=24" ]
Current State: 24:[65, 9, 29, 28], Operations: [] Exploring Operation: 65-29=36, Resulting Numbers: [9, 28, 36] Generated Node #2: [9, 28, 36] from Operation: 65-29=36 Current State: 24:[9, 28, 36], Operations: ['65-29=36'] Exploring Operation: 36/9=4, Resulting Numbers: [28, 4] Generated Node #3: [28, 4] from Operation: 36/9=4 Current State: 24:[28, 4], Operations: ['65-29=36', '36/9=4'] Exploring Operation: 28-4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 4, 76, 28, 81 ]
55
[ "76+28=104", "104/4=26", "81-26=55" ]
Current State: 55:[4, 76, 28, 81], Operations: [] Exploring Operation: 76+28=104, Resulting Numbers: [4, 81, 104] Generated Node #2: [4, 81, 104] from Operation: 76+28=104 Current State: 55:[4, 81, 104], Operations: ['76+28=104'] Exploring Operation: 104/4=26, Resulting Numbers: [81, 26] Generated Node #3: [81, 26] from Operation: 104/4=26 Current State: 55:[81, 26], Operations: ['76+28=104', '104/4=26'] Exploring Operation: 81-26=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 35, 2, 66, 41 ]
74
[ "35-2=33", "66+41=107", "107-33=74" ]
Current State: 74:[35, 2, 66, 41], Operations: [] Exploring Operation: 35-2=33, Resulting Numbers: [66, 41, 33] Generated Node #2: [66, 41, 33] from Operation: 35-2=33 Current State: 74:[66, 41, 33], Operations: ['35-2=33'] Exploring Operation: 66+41=107, Resulting Numbers: [33, 107] Generated Node #3: [33, 107] from Operation: 66+41=107 Current State: 74:[33, 107], Operations: ['35-2=33', '66+41=107'] Exploring Operation: 107-33=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 72, 56, 33, 11 ]
48
[ "72-56=16", "33/11=3", "16*3=48" ]
Current State: 48:[72, 56, 33, 11], Operations: [] Exploring Operation: 72-56=16, Resulting Numbers: [33, 11, 16] Generated Node #2: [33, 11, 16] from Operation: 72-56=16 Current State: 48:[33, 11, 16], Operations: ['72-56=16'] Exploring Operation: 33/11=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 33/11=3 Current State: 48:[16, 3], Operations: ['72-56=16', '33/11=3'] Exploring Operation: 16*3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 96, 77, 81, 89 ]
70
[ "96-89=7", "77/7=11", "81-11=70" ]
Current State: 70:[96, 77, 81, 89], Operations: [] Exploring Operation: 96-89=7, Resulting Numbers: [77, 81, 7] Generated Node #2: [77, 81, 7] from Operation: 96-89=7 Current State: 70:[77, 81, 7], Operations: ['96-89=7'] Exploring Operation: 77/7=11, Resulting Numbers: [81, 11] Generated Node #3: [81, 11] from Operation: 77/7=11 Current State: 70:[81, 11], Operations: ['96-89=7', '77/7=11'] Exploring Operation: 81-11=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 34, 63, 96, 68 ]
57
[ "63-34=29", "96-68=28", "29+28=57" ]
Current State: 57:[34, 63, 96, 68], Operations: [] Exploring Operation: 63-34=29, Resulting Numbers: [96, 68, 29] Generated Node #2: [96, 68, 29] from Operation: 63-34=29 Current State: 57:[96, 68, 29], Operations: ['63-34=29'] Exploring Operation: 96-68=28, Resulting Numbers: [29, 28] Generated Node #3: [29, 28] from Operation: 96-68=28 Current State: 57:[29, 28], Operations: ['63-34=29', '96-68=28'] Exploring Operation: 29+28=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 80, 77, 97, 13 ]
81
[ "80-77=3", "97-13=84", "84-3=81" ]
Current State: 81:[80, 77, 97, 13], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [97, 13, 3] Generated Node #2: [97, 13, 3] from Operation: 80-77=3 Current State: 81:[97, 13, 3], Operations: ['80-77=3'] Exploring Operation: 97-13=84, Resulting Numbers: [3, 84] Generated Node #3: [3, 84] from Operation: 97-13=84 Current State: 81:[3, 84], Operations: ['80-77=3', '97-13=84'] Exploring Operation: 84-3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 74, 8, 21, 82 ]
85
[ "82-74=8", "8*8=64", "21+64=85" ]
Current State: 85:[74, 8, 21, 82], Operations: [] Exploring Operation: 82-74=8, Resulting Numbers: [8, 21, 8] Generated Node #2: [8, 21, 8] from Operation: 82-74=8 Current State: 85:[8, 21, 8], Operations: ['82-74=8'] Exploring Operation: 8*8=64, Resulting Numbers: [21, 64] Generated Node #3: [21, 64] from Operation: 8*8=64 Current State: 85:[21, 64], Operations: ['82-74=8', '8*8=64'] Exploring Operation: 21+64=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 83, 33, 2, 29 ]
60
[ "83-29=54", "54/2=27", "33+27=60" ]
Current State: 60:[83, 33, 2, 29], Operations: [] Exploring Operation: 83-29=54, Resulting Numbers: [33, 2, 54] Generated Node #2: [33, 2, 54] from Operation: 83-29=54 Current State: 60:[33, 2, 54], Operations: ['83-29=54'] Exploring Operation: 54/2=27, Resulting Numbers: [33, 27] Generated Node #3: [33, 27] from Operation: 54/2=27 Current State: 60:[33, 27], Operations: ['83-29=54', '54/2=27'] Exploring Operation: 33+27=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 89, 39, 67, 70 ]
28
[ "70-67=3", "39*3=117", "117-89=28" ]
Current State: 28:[89, 39, 67, 70], Operations: [] Exploring Operation: 70-67=3, Resulting Numbers: [89, 39, 3] Generated Node #2: [89, 39, 3] from Operation: 70-67=3 Current State: 28:[89, 39, 3], Operations: ['70-67=3'] Exploring Operation: 39*3=117, Resulting Numbers: [89, 117] Generated Node #3: [89, 117] from Operation: 39*3=117 Current State: 28:[89, 117], Operations: ['70-67=3', '39*3=117'] Exploring Operation: 117-89=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 10, 68, 40, 69 ]
50
[ "10+40=50", "69-68=1", "50*1=50" ]
Current State: 50:[10, 68, 40, 69], Operations: [] Exploring Operation: 10+40=50, Resulting Numbers: [68, 69, 50] Generated Node #2: [68, 69, 50] from Operation: 10+40=50 Current State: 50:[68, 69, 50], Operations: ['10+40=50'] Exploring Operation: 69-68=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 69-68=1 Current State: 50:[50, 1], Operations: ['10+40=50', '69-68=1'] Exploring Operation: 50*1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 33, 21, 14, 26 ]
52
[ "33-21=12", "14+26=40", "12+40=52" ]
Current State: 52:[33, 21, 14, 26], Operations: [] Exploring Operation: 33-21=12, Resulting Numbers: [14, 26, 12] Generated Node #2: [14, 26, 12] from Operation: 33-21=12 Current State: 52:[14, 26, 12], Operations: ['33-21=12'] Exploring Operation: 14+26=40, Resulting Numbers: [12, 40] Generated Node #3: [12, 40] from Operation: 14+26=40 Current State: 52:[12, 40], Operations: ['33-21=12', '14+26=40'] Exploring Operation: 12+40=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 14, 84, 8, 30 ]
92
[ "84-14=70", "30-8=22", "70+22=92" ]
Current State: 92:[14, 84, 8, 30], Operations: [] Exploring Operation: 84-14=70, Resulting Numbers: [8, 30, 70] Generated Node #2: [8, 30, 70] from Operation: 84-14=70 Current State: 92:[8, 30, 70], Operations: ['84-14=70'] Exploring Operation: 30-8=22, Resulting Numbers: [70, 22] Generated Node #3: [70, 22] from Operation: 30-8=22 Current State: 92:[70, 22], Operations: ['84-14=70', '30-8=22'] Exploring Operation: 70+22=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 6, 64, 93, 53 ]
76
[ "6+64=70", "93+53=146", "146-70=76" ]
Current State: 76:[6, 64, 93, 53], Operations: [] Exploring Operation: 6+64=70, Resulting Numbers: [93, 53, 70] Generated Node #2: [93, 53, 70] from Operation: 6+64=70 Current State: 76:[93, 53, 70], Operations: ['6+64=70'] Exploring Operation: 93+53=146, Resulting Numbers: [70, 146] Generated Node #3: [70, 146] from Operation: 93+53=146 Current State: 76:[70, 146], Operations: ['6+64=70', '93+53=146'] Exploring Operation: 146-70=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 47, 50, 96, 92 ]
49
[ "96-50=46", "92/46=2", "47+2=49" ]
Current State: 49:[47, 50, 96, 92], Operations: [] Exploring Operation: 96-50=46, Resulting Numbers: [47, 92, 46] Generated Node #2: [47, 92, 46] from Operation: 96-50=46 Current State: 49:[47, 92, 46], Operations: ['96-50=46'] Exploring Operation: 92/46=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 92/46=2 Current State: 49:[47, 2], Operations: ['96-50=46', '92/46=2'] Exploring Operation: 47+2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 20, 28, 61, 91 ]
40
[ "28+61=89", "91-89=2", "20*2=40" ]
Current State: 40:[20, 28, 61, 91], Operations: [] Exploring Operation: 28+61=89, Resulting Numbers: [20, 91, 89] Generated Node #2: [20, 91, 89] from Operation: 28+61=89 Current State: 40:[20, 91, 89], Operations: ['28+61=89'] Exploring Operation: 91-89=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 91-89=2 Current State: 40:[20, 2], Operations: ['28+61=89', '91-89=2'] Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 5, 65, 20, 24 ]
83
[ "65*24=1560", "1560/20=78", "5+78=83" ]
Current State: 83:[5, 65, 20, 24], Operations: [] Exploring Operation: 65*24=1560, Resulting Numbers: [5, 20, 1560] Generated Node #2: [5, 20, 1560] from Operation: 65*24=1560 Current State: 83:[5, 20, 1560], Operations: ['65*24=1560'] Exploring Operation: 1560/20=78, Resulting Numbers: [5, 78] Generated Node #3: [5, 78] from Operation: 1560/20=78 Current State: 83:[5, 78], Operations: ['65*24=1560', '1560/20=78'] Exploring Operation: 5+78=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 88, 33, 60, 65 ]
95
[ "88*60=5280", "5280/33=160", "160-65=95" ]
Current State: 95:[88, 33, 60, 65], Operations: [] Exploring Operation: 88*60=5280, Resulting Numbers: [33, 65, 5280] Generated Node #2: [33, 65, 5280] from Operation: 88*60=5280 Current State: 95:[33, 65, 5280], Operations: ['88*60=5280'] Exploring Operation: 5280/33=160, Resulting Numbers: [65, 160] Generated Node #3: [65, 160] from Operation: 5280/33=160 Current State: 95:[65, 160], Operations: ['88*60=5280', '5280/33=160'] Exploring Operation: 160-65=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 13, 35, 58, 6 ]
15
[ "13*6=78", "35+58=93", "93-78=15" ]
Current State: 15:[13, 35, 58, 6], Operations: [] Exploring Operation: 13*6=78, Resulting Numbers: [35, 58, 78] Generated Node #2: [35, 58, 78] from Operation: 13*6=78 Current State: 15:[35, 58, 78], Operations: ['13*6=78'] Exploring Operation: 35+58=93, Resulting Numbers: [78, 93] Generated Node #3: [78, 93] from Operation: 35+58=93 Current State: 15:[78, 93], Operations: ['13*6=78', '35+58=93'] Exploring Operation: 93-78=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 4, 54, 66, 58 ]
55
[ "66-54=12", "12/4=3", "58-3=55" ]
Current State: 55:[4, 54, 66, 58], Operations: [] Exploring Operation: 66-54=12, Resulting Numbers: [4, 58, 12] Generated Node #2: [4, 58, 12] from Operation: 66-54=12 Current State: 55:[4, 58, 12], Operations: ['66-54=12'] Exploring Operation: 12/4=3, Resulting Numbers: [58, 3] Generated Node #3: [58, 3] from Operation: 12/4=3 Current State: 55:[58, 3], Operations: ['66-54=12', '12/4=3'] Exploring Operation: 58-3=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 62, 2, 37, 74 ]
63
[ "2*37=74", "74/74=1", "62+1=63" ]
Current State: 63:[62, 2, 37, 74], Operations: [] Exploring Operation: 2*37=74, Resulting Numbers: [62, 74, 74] Generated Node #2: [62, 74, 74] from Operation: 2*37=74 Current State: 63:[62, 74, 74], Operations: ['2*37=74'] Exploring Operation: 74/74=1, Resulting Numbers: [62, 1] Generated Node #3: [62, 1] from Operation: 74/74=1 Current State: 63:[62, 1], Operations: ['2*37=74', '74/74=1'] Exploring Operation: 62+1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 76, 72, 88, 6 ]
78
[ "76-72=4", "88-6=82", "82-4=78" ]
Current State: 78:[76, 72, 88, 6], Operations: [] Exploring Operation: 76-72=4, Resulting Numbers: [88, 6, 4] Generated Node #2: [88, 6, 4] from Operation: 76-72=4 Current State: 78:[88, 6, 4], Operations: ['76-72=4'] Exploring Operation: 88-6=82, Resulting Numbers: [4, 82] Generated Node #3: [4, 82] from Operation: 88-6=82 Current State: 78:[4, 82], Operations: ['76-72=4', '88-6=82'] Exploring Operation: 82-4=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 37, 57, 3, 45 ]
89
[ "37+45=82", "57*3=171", "171-82=89" ]
Current State: 89:[37, 57, 3, 45], Operations: [] Exploring Operation: 37+45=82, Resulting Numbers: [57, 3, 82] Generated Node #2: [57, 3, 82] from Operation: 37+45=82 Current State: 89:[57, 3, 82], Operations: ['37+45=82'] Exploring Operation: 57*3=171, Resulting Numbers: [82, 171] Generated Node #3: [82, 171] from Operation: 57*3=171 Current State: 89:[82, 171], Operations: ['37+45=82', '57*3=171'] Exploring Operation: 171-82=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4