Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 54, 67, 3, 4 ]
35
[ "67-54=13", "3*13=39", "39-4=35" ]
Current State: 35:[54, 67, 3, 4], Operations: [] Exploring Operation: 67-54=13, Resulting Numbers: [3, 4, 13] Generated Node #2: [3, 4, 13] from Operation: 67-54=13 Current State: 35:[3, 4, 13], Operations: ['67-54=13'] Exploring Operation: 3*13=39, Resulting Numbers: [4, 39] Generated Node #3: [4, 39] from Operation: 3*13=39 Current State: 35:[4, 39], Operations: ['67-54=13', '3*13=39'] Exploring Operation: 39-4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 17, 83, 83, 39 ]
17
[ "83-83=0", "39*0=0", "17+0=17" ]
Current State: 17:[17, 83, 83, 39], Operations: [] Exploring Operation: 83-83=0, Resulting Numbers: [17, 39, 0] Generated Node #2: [17, 39, 0] from Operation: 83-83=0 Current State: 17:[17, 39, 0], Operations: ['83-83=0'] Exploring Operation: 39*0=0, Resulting Numbers: [17, 0] Generated Node #3: [17, 0] from Operation: 39*0=0 Current State: 17:[17, 0], Operations: ['83-83=0', '39*0=0'] Exploring Operation: 17+0=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 73, 23, 61, 14 ]
49
[ "73+23=96", "61-14=47", "96-47=49" ]
Current State: 49:[73, 23, 61, 14], Operations: [] Exploring Operation: 73+23=96, Resulting Numbers: [61, 14, 96] Generated Node #2: [61, 14, 96] from Operation: 73+23=96 Current State: 49:[61, 14, 96], Operations: ['73+23=96'] Exploring Operation: 61-14=47, Resulting Numbers: [96, 47] Generated Node #3: [96, 47] from Operation: 61-14=47 Current State: 49:[96, 47], Operations: ['73+23=96', '61-14=47'] Exploring Operation: 96-47=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 12, 47, 37, 94 ]
86
[ "94/47=2", "37*2=74", "12+74=86" ]
Current State: 86:[12, 47, 37, 94], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [12, 37, 2] Generated Node #2: [12, 37, 2] from Operation: 94/47=2 Current State: 86:[12, 37, 2], Operations: ['94/47=2'] Exploring Operation: 37*2=74, Resulting Numbers: [12, 74] Generated Node #3: [12, 74] from Operation: 37*2=74 Current State: 86:[12, 74], Operations: ['94/47=2', '37*2=74'] Exploring Operation: 12+74=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 42, 85, 7, 56 ]
83
[ "56-42=14", "14/7=2", "85-2=83" ]
Current State: 83:[42, 85, 7, 56], Operations: [] Exploring Operation: 56-42=14, Resulting Numbers: [85, 7, 14] Generated Node #2: [85, 7, 14] from Operation: 56-42=14 Current State: 83:[85, 7, 14], Operations: ['56-42=14'] Exploring Operation: 14/7=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 14/7=2 Current State: 83:[85, 2], Operations: ['56-42=14', '14/7=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 81, 10, 43, 53 ]
61
[ "81-10=71", "53-43=10", "71-10=61" ]
Current State: 61:[81, 10, 43, 53], Operations: [] Exploring Operation: 81-10=71, Resulting Numbers: [43, 53, 71] Generated Node #2: [43, 53, 71] from Operation: 81-10=71 Current State: 61:[43, 53, 71], Operations: ['81-10=71'] Exploring Operation: 53-43=10, Resulting Numbers: [71, 10] Generated Node #3: [71, 10] from Operation: 53-43=10 Current State: 61:[71, 10], Operations: ['81-10=71', '53-43=10'] Exploring Operation: 71-10=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 3, 87, 57, 35 ]
49
[ "3*57=171", "87+35=122", "171-122=49" ]
Current State: 49:[3, 87, 57, 35], Operations: [] Exploring Operation: 3*57=171, Resulting Numbers: [87, 35, 171] Generated Node #2: [87, 35, 171] from Operation: 3*57=171 Current State: 49:[87, 35, 171], Operations: ['3*57=171'] Exploring Operation: 87+35=122, Resulting Numbers: [171, 122] Generated Node #3: [171, 122] from Operation: 87+35=122 Current State: 49:[171, 122], Operations: ['3*57=171', '87+35=122'] Exploring Operation: 171-122=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 15, 64, 69, 16 ]
11
[ "15*69=1035", "64*16=1024", "1035-1024=11" ]
Current State: 11:[15, 64, 69, 16], Operations: [] Exploring Operation: 15*69=1035, Resulting Numbers: [64, 16, 1035] Generated Node #2: [64, 16, 1035] from Operation: 15*69=1035 Current State: 11:[64, 16, 1035], Operations: ['15*69=1035'] Exploring Operation: 64*16=1024, Resulting Numbers: [1035, 1024] Generated Node #3: [1035, 1024] from Operation: 64*16=1024 Current State: 11:[1035, 1024], Operations: ['15*69=1035', '64*16=1024'] Exploring Operation: 1035-1024=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 16, 70, 1, 30 ]
57
[ "16+70=86", "30-1=29", "86-29=57" ]
Current State: 57:[16, 70, 1, 30], Operations: [] Exploring Operation: 16+70=86, Resulting Numbers: [1, 30, 86] Generated Node #2: [1, 30, 86] from Operation: 16+70=86 Current State: 57:[1, 30, 86], Operations: ['16+70=86'] Exploring Operation: 30-1=29, Resulting Numbers: [86, 29] Generated Node #3: [86, 29] from Operation: 30-1=29 Current State: 57:[86, 29], Operations: ['16+70=86', '30-1=29'] Exploring Operation: 86-29=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 38, 73, 70, 47 ]
58
[ "73-38=35", "70-47=23", "35+23=58" ]
Current State: 58:[38, 73, 70, 47], Operations: [] Exploring Operation: 73-38=35, Resulting Numbers: [70, 47, 35] Generated Node #2: [70, 47, 35] from Operation: 73-38=35 Current State: 58:[70, 47, 35], Operations: ['73-38=35'] Exploring Operation: 70-47=23, Resulting Numbers: [35, 23] Generated Node #3: [35, 23] from Operation: 70-47=23 Current State: 58:[35, 23], Operations: ['73-38=35', '70-47=23'] Exploring Operation: 35+23=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 97, 21, 2, 95 ]
20
[ "97-2=95", "95/95=1", "21-1=20" ]
Current State: 20:[97, 21, 2, 95], Operations: [] Exploring Operation: 97-2=95, Resulting Numbers: [21, 95, 95] Generated Node #2: [21, 95, 95] from Operation: 97-2=95 Current State: 20:[21, 95, 95], Operations: ['97-2=95'] Exploring Operation: 95/95=1, Resulting Numbers: [21, 1] Generated Node #3: [21, 1] from Operation: 95/95=1 Current State: 20:[21, 1], Operations: ['97-2=95', '95/95=1'] Exploring Operation: 21-1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 90, 45, 14, 50 ]
55
[ "90+50=140", "140/14=10", "45+10=55" ]
Current State: 55:[90, 45, 14, 50], Operations: [] Exploring Operation: 90+50=140, Resulting Numbers: [45, 14, 140] Generated Node #2: [45, 14, 140] from Operation: 90+50=140 Current State: 55:[45, 14, 140], Operations: ['90+50=140'] Exploring Operation: 140/14=10, Resulting Numbers: [45, 10] Generated Node #3: [45, 10] from Operation: 140/14=10 Current State: 55:[45, 10], Operations: ['90+50=140', '140/14=10'] Exploring Operation: 45+10=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 7, 6, 1, 81 ]
93
[ "7+6=13", "81-1=80", "13+80=93" ]
Current State: 93:[7, 6, 1, 81], Operations: [] Exploring Operation: 7+6=13, Resulting Numbers: [1, 81, 13] Generated Node #2: [1, 81, 13] from Operation: 7+6=13 Current State: 93:[1, 81, 13], Operations: ['7+6=13'] Exploring Operation: 81-1=80, Resulting Numbers: [13, 80] Generated Node #3: [13, 80] from Operation: 81-1=80 Current State: 93:[13, 80], Operations: ['7+6=13', '81-1=80'] Exploring Operation: 13+80=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 27, 45, 83, 73 ]
82
[ "27+45=72", "83-73=10", "72+10=82" ]
Current State: 82:[27, 45, 83, 73], Operations: [] Exploring Operation: 27+45=72, Resulting Numbers: [83, 73, 72] Generated Node #2: [83, 73, 72] from Operation: 27+45=72 Current State: 82:[83, 73, 72], Operations: ['27+45=72'] Exploring Operation: 83-73=10, Resulting Numbers: [72, 10] Generated Node #3: [72, 10] from Operation: 83-73=10 Current State: 82:[72, 10], Operations: ['27+45=72', '83-73=10'] Exploring Operation: 72+10=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 89, 6, 42, 49 ]
19
[ "89+49=138", "138/6=23", "42-23=19" ]
Current State: 19:[89, 6, 42, 49], Operations: [] Exploring Operation: 89+49=138, Resulting Numbers: [6, 42, 138] Generated Node #2: [6, 42, 138] from Operation: 89+49=138 Current State: 19:[6, 42, 138], Operations: ['89+49=138'] Exploring Operation: 138/6=23, Resulting Numbers: [42, 23] Generated Node #3: [42, 23] from Operation: 138/6=23 Current State: 19:[42, 23], Operations: ['89+49=138', '138/6=23'] Exploring Operation: 42-23=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 58, 33, 26, 93 ]
94
[ "58-33=25", "26+93=119", "119-25=94" ]
Current State: 94:[58, 33, 26, 93], Operations: [] Exploring Operation: 58-33=25, Resulting Numbers: [26, 93, 25] Generated Node #2: [26, 93, 25] from Operation: 58-33=25 Current State: 94:[26, 93, 25], Operations: ['58-33=25'] Exploring Operation: 26+93=119, Resulting Numbers: [25, 119] Generated Node #3: [25, 119] from Operation: 26+93=119 Current State: 94:[25, 119], Operations: ['58-33=25', '26+93=119'] Exploring Operation: 119-25=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 18, 38, 94, 47 ]
40
[ "38-18=20", "94/47=2", "20*2=40" ]
Current State: 40:[18, 38, 94, 47], Operations: [] Exploring Operation: 38-18=20, Resulting Numbers: [94, 47, 20] Generated Node #2: [94, 47, 20] from Operation: 38-18=20 Current State: 40:[94, 47, 20], Operations: ['38-18=20'] Exploring Operation: 94/47=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 94/47=2 Current State: 40:[20, 2], Operations: ['38-18=20', '94/47=2'] Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 78, 50, 96, 20 ]
99
[ "78*50=3900", "3900/20=195", "195-96=99" ]
Current State: 99:[78, 50, 96, 20], Operations: [] Exploring Operation: 78*50=3900, Resulting Numbers: [96, 20, 3900] Generated Node #2: [96, 20, 3900] from Operation: 78*50=3900 Current State: 99:[96, 20, 3900], Operations: ['78*50=3900'] Exploring Operation: 3900/20=195, Resulting Numbers: [96, 195] Generated Node #3: [96, 195] from Operation: 3900/20=195 Current State: 99:[96, 195], Operations: ['78*50=3900', '3900/20=195'] Exploring Operation: 195-96=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 23, 94, 84, 6 ]
26
[ "84*6=504", "94+504=598", "598/23=26" ]
Current State: 26:[23, 94, 84, 6], Operations: [] Exploring Operation: 84*6=504, Resulting Numbers: [23, 94, 504] Generated Node #2: [23, 94, 504] from Operation: 84*6=504 Current State: 26:[23, 94, 504], Operations: ['84*6=504'] Exploring Operation: 94+504=598, Resulting Numbers: [23, 598] Generated Node #3: [23, 598] from Operation: 94+504=598 Current State: 26:[23, 598], Operations: ['84*6=504', '94+504=598'] Exploring Operation: 598/23=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 23, 20, 88, 18 ]
94
[ "23-20=3", "18/3=6", "88+6=94" ]
Current State: 94:[23, 20, 88, 18], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [88, 18, 3] Generated Node #2: [88, 18, 3] from Operation: 23-20=3 Current State: 94:[88, 18, 3], Operations: ['23-20=3'] Exploring Operation: 18/3=6, Resulting Numbers: [88, 6] Generated Node #3: [88, 6] from Operation: 18/3=6 Current State: 94:[88, 6], Operations: ['23-20=3', '18/3=6'] Exploring Operation: 88+6=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 43, 82, 87, 15 ]
63
[ "82-43=39", "87+15=102", "102-39=63" ]
Current State: 63:[43, 82, 87, 15], Operations: [] Exploring Operation: 82-43=39, Resulting Numbers: [87, 15, 39] Generated Node #2: [87, 15, 39] from Operation: 82-43=39 Current State: 63:[87, 15, 39], Operations: ['82-43=39'] Exploring Operation: 87+15=102, Resulting Numbers: [39, 102] Generated Node #3: [39, 102] from Operation: 87+15=102 Current State: 63:[39, 102], Operations: ['82-43=39', '87+15=102'] Exploring Operation: 102-39=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 41, 20, 44, 75 ]
30
[ "41+20=61", "75-44=31", "61-31=30" ]
Current State: 30:[41, 20, 44, 75], Operations: [] Exploring Operation: 41+20=61, Resulting Numbers: [44, 75, 61] Generated Node #2: [44, 75, 61] from Operation: 41+20=61 Current State: 30:[44, 75, 61], Operations: ['41+20=61'] Exploring Operation: 75-44=31, Resulting Numbers: [61, 31] Generated Node #3: [61, 31] from Operation: 75-44=31 Current State: 30:[61, 31], Operations: ['41+20=61', '75-44=31'] Exploring Operation: 61-31=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 52, 73, 2, 23 ]
51
[ "52+73=125", "125-23=102", "102/2=51" ]
Current State: 51:[52, 73, 2, 23], Operations: [] Exploring Operation: 52+73=125, Resulting Numbers: [2, 23, 125] Generated Node #2: [2, 23, 125] from Operation: 52+73=125 Current State: 51:[2, 23, 125], Operations: ['52+73=125'] Exploring Operation: 125-23=102, Resulting Numbers: [2, 102] Generated Node #3: [2, 102] from Operation: 125-23=102 Current State: 51:[2, 102], Operations: ['52+73=125', '125-23=102'] Exploring Operation: 102/2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 31, 42, 11, 16 ]
46
[ "31+42=73", "11+16=27", "73-27=46" ]
Current State: 46:[31, 42, 11, 16], Operations: [] Exploring Operation: 31+42=73, Resulting Numbers: [11, 16, 73] Generated Node #2: [11, 16, 73] from Operation: 31+42=73 Current State: 46:[11, 16, 73], Operations: ['31+42=73'] Exploring Operation: 11+16=27, Resulting Numbers: [73, 27] Generated Node #3: [73, 27] from Operation: 11+16=27 Current State: 46:[73, 27], Operations: ['31+42=73', '11+16=27'] Exploring Operation: 73-27=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 44, 75, 24, 81 ]
13
[ "44*24=1056", "1056-81=975", "975/75=13" ]
Current State: 13:[44, 75, 24, 81], Operations: [] Exploring Operation: 44*24=1056, Resulting Numbers: [75, 81, 1056] Generated Node #2: [75, 81, 1056] from Operation: 44*24=1056 Current State: 13:[75, 81, 1056], Operations: ['44*24=1056'] Exploring Operation: 1056-81=975, Resulting Numbers: [75, 975] Generated Node #3: [75, 975] from Operation: 1056-81=975 Current State: 13:[75, 975], Operations: ['44*24=1056', '1056-81=975'] Exploring Operation: 975/75=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 35, 73, 17, 5 ]
49
[ "35/5=7", "73-17=56", "56-7=49" ]
Current State: 49:[35, 73, 17, 5], Operations: [] Exploring Operation: 35/5=7, Resulting Numbers: [73, 17, 7] Generated Node #2: [73, 17, 7] from Operation: 35/5=7 Current State: 49:[73, 17, 7], Operations: ['35/5=7'] Exploring Operation: 73-17=56, Resulting Numbers: [7, 56] Generated Node #3: [7, 56] from Operation: 73-17=56 Current State: 49:[7, 56], Operations: ['35/5=7', '73-17=56'] Exploring Operation: 56-7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 89, 21, 25, 4 ]
42
[ "89-21=68", "68/4=17", "25+17=42" ]
Current State: 42:[89, 21, 25, 4], Operations: [] Exploring Operation: 89-21=68, Resulting Numbers: [25, 4, 68] Generated Node #2: [25, 4, 68] from Operation: 89-21=68 Current State: 42:[25, 4, 68], Operations: ['89-21=68'] Exploring Operation: 68/4=17, Resulting Numbers: [25, 17] Generated Node #3: [25, 17] from Operation: 68/4=17 Current State: 42:[25, 17], Operations: ['89-21=68', '68/4=17'] Exploring Operation: 25+17=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 53, 69, 33, 64 ]
72
[ "64-53=11", "33/11=3", "69+3=72" ]
Current State: 72:[53, 69, 33, 64], Operations: [] Exploring Operation: 64-53=11, Resulting Numbers: [69, 33, 11] Generated Node #2: [69, 33, 11] from Operation: 64-53=11 Current State: 72:[69, 33, 11], Operations: ['64-53=11'] Exploring Operation: 33/11=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 33/11=3 Current State: 72:[69, 3], Operations: ['64-53=11', '33/11=3'] Exploring Operation: 69+3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 28, 34, 30, 57 ]
35
[ "28+34=62", "57-30=27", "62-27=35" ]
Current State: 35:[28, 34, 30, 57], Operations: [] Exploring Operation: 28+34=62, Resulting Numbers: [30, 57, 62] Generated Node #2: [30, 57, 62] from Operation: 28+34=62 Current State: 35:[30, 57, 62], Operations: ['28+34=62'] Exploring Operation: 57-30=27, Resulting Numbers: [62, 27] Generated Node #3: [62, 27] from Operation: 57-30=27 Current State: 35:[62, 27], Operations: ['28+34=62', '57-30=27'] Exploring Operation: 62-27=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 98, 53, 35, 64 ]
53
[ "98-35=63", "64-63=1", "53*1=53" ]
Current State: 53:[98, 53, 35, 64], Operations: [] Exploring Operation: 98-35=63, Resulting Numbers: [53, 64, 63] Generated Node #2: [53, 64, 63] from Operation: 98-35=63 Current State: 53:[53, 64, 63], Operations: ['98-35=63'] Exploring Operation: 64-63=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 64-63=1 Current State: 53:[53, 1], Operations: ['98-35=63', '64-63=1'] Exploring Operation: 53*1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 21, 2, 96, 98 ]
22
[ "2+96=98", "98/98=1", "21+1=22" ]
Current State: 22:[21, 2, 96, 98], Operations: [] Exploring Operation: 2+96=98, Resulting Numbers: [21, 98, 98] Generated Node #2: [21, 98, 98] from Operation: 2+96=98 Current State: 22:[21, 98, 98], Operations: ['2+96=98'] Exploring Operation: 98/98=1, Resulting Numbers: [21, 1] Generated Node #3: [21, 1] from Operation: 98/98=1 Current State: 22:[21, 1], Operations: ['2+96=98', '98/98=1'] Exploring Operation: 21+1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 5, 68, 97, 60 ]
45
[ "68+97=165", "60+165=225", "225/5=45" ]
Current State: 45:[5, 68, 97, 60], Operations: [] Exploring Operation: 68+97=165, Resulting Numbers: [5, 60, 165] Generated Node #2: [5, 60, 165] from Operation: 68+97=165 Current State: 45:[5, 60, 165], Operations: ['68+97=165'] Exploring Operation: 60+165=225, Resulting Numbers: [5, 225] Generated Node #3: [5, 225] from Operation: 60+165=225 Current State: 45:[5, 225], Operations: ['68+97=165', '60+165=225'] Exploring Operation: 225/5=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 72, 79, 83, 20 ]
23
[ "72+20=92", "83-79=4", "92/4=23" ]
Current State: 23:[72, 79, 83, 20], Operations: [] Exploring Operation: 72+20=92, Resulting Numbers: [79, 83, 92] Generated Node #2: [79, 83, 92] from Operation: 72+20=92 Current State: 23:[79, 83, 92], Operations: ['72+20=92'] Exploring Operation: 83-79=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation: 83-79=4 Current State: 23:[92, 4], Operations: ['72+20=92', '83-79=4'] Exploring Operation: 92/4=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 57, 19, 38, 58 ]
56
[ "57+19=76", "58-38=20", "76-20=56" ]
Current State: 56:[57, 19, 38, 58], Operations: [] Exploring Operation: 57+19=76, Resulting Numbers: [38, 58, 76] Generated Node #2: [38, 58, 76] from Operation: 57+19=76 Current State: 56:[38, 58, 76], Operations: ['57+19=76'] Exploring Operation: 58-38=20, Resulting Numbers: [76, 20] Generated Node #3: [76, 20] from Operation: 58-38=20 Current State: 56:[76, 20], Operations: ['57+19=76', '58-38=20'] Exploring Operation: 76-20=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 61, 52, 14, 37 ]
62
[ "61+52=113", "14+37=51", "113-51=62" ]
Current State: 62:[61, 52, 14, 37], Operations: [] Exploring Operation: 61+52=113, Resulting Numbers: [14, 37, 113] Generated Node #2: [14, 37, 113] from Operation: 61+52=113 Current State: 62:[14, 37, 113], Operations: ['61+52=113'] Exploring Operation: 14+37=51, Resulting Numbers: [113, 51] Generated Node #3: [113, 51] from Operation: 14+37=51 Current State: 62:[113, 51], Operations: ['61+52=113', '14+37=51'] Exploring Operation: 113-51=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 29, 82, 13, 30 ]
95
[ "30-29=1", "82+13=95", "1*95=95" ]
Current State: 95:[29, 82, 13, 30], Operations: [] Exploring Operation: 30-29=1, Resulting Numbers: [82, 13, 1] Generated Node #2: [82, 13, 1] from Operation: 30-29=1 Current State: 95:[82, 13, 1], Operations: ['30-29=1'] Exploring Operation: 82+13=95, Resulting Numbers: [1, 95] Generated Node #3: [1, 95] from Operation: 82+13=95 Current State: 95:[1, 95], Operations: ['30-29=1', '82+13=95'] Exploring Operation: 1*95=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 40, 64, 72, 51 ]
46
[ "72-64=8", "40/8=5", "51-5=46" ]
Current State: 46:[40, 64, 72, 51], Operations: [] Exploring Operation: 72-64=8, Resulting Numbers: [40, 51, 8] Generated Node #2: [40, 51, 8] from Operation: 72-64=8 Current State: 46:[40, 51, 8], Operations: ['72-64=8'] Exploring Operation: 40/8=5, Resulting Numbers: [51, 5] Generated Node #3: [51, 5] from Operation: 40/8=5 Current State: 46:[51, 5], Operations: ['72-64=8', '40/8=5'] Exploring Operation: 51-5=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 45, 92, 41, 86 ]
24
[ "45-41=4", "92-86=6", "4*6=24" ]
Current State: 24:[45, 92, 41, 86], Operations: [] Exploring Operation: 45-41=4, Resulting Numbers: [92, 86, 4] Generated Node #2: [92, 86, 4] from Operation: 45-41=4 Current State: 24:[92, 86, 4], Operations: ['45-41=4'] Exploring Operation: 92-86=6, Resulting Numbers: [4, 6] Generated Node #3: [4, 6] from Operation: 92-86=6 Current State: 24:[4, 6], Operations: ['45-41=4', '92-86=6'] Exploring Operation: 4*6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 21, 6, 17, 12 ]
37
[ "21-12=9", "6*9=54", "54-17=37" ]
Current State: 37:[21, 6, 17, 12], Operations: [] Exploring Operation: 21-12=9, Resulting Numbers: [6, 17, 9] Generated Node #2: [6, 17, 9] from Operation: 21-12=9 Current State: 37:[6, 17, 9], Operations: ['21-12=9'] Exploring Operation: 6*9=54, Resulting Numbers: [17, 54] Generated Node #3: [17, 54] from Operation: 6*9=54 Current State: 37:[17, 54], Operations: ['21-12=9', '6*9=54'] Exploring Operation: 54-17=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 40, 12, 44, 73 ]
23
[ "40+12=52", "73-44=29", "52-29=23" ]
Current State: 23:[40, 12, 44, 73], Operations: [] Exploring Operation: 40+12=52, Resulting Numbers: [44, 73, 52] Generated Node #2: [44, 73, 52] from Operation: 40+12=52 Current State: 23:[44, 73, 52], Operations: ['40+12=52'] Exploring Operation: 73-44=29, Resulting Numbers: [52, 29] Generated Node #3: [52, 29] from Operation: 73-44=29 Current State: 23:[52, 29], Operations: ['40+12=52', '73-44=29'] Exploring Operation: 52-29=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 77, 69, 94, 27 ]
19
[ "69*27=1863", "1863-77=1786", "1786/94=19" ]
Current State: 19:[77, 69, 94, 27], Operations: [] Exploring Operation: 69*27=1863, Resulting Numbers: [77, 94, 1863] Generated Node #2: [77, 94, 1863] from Operation: 69*27=1863 Current State: 19:[77, 94, 1863], Operations: ['69*27=1863'] Exploring Operation: 1863-77=1786, Resulting Numbers: [94, 1786] Generated Node #3: [94, 1786] from Operation: 1863-77=1786 Current State: 19:[94, 1786], Operations: ['69*27=1863', '1863-77=1786'] Exploring Operation: 1786/94=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 45, 79, 47, 16 ]
47
[ "47-45=2", "16*2=32", "79-32=47" ]
Current State: 47:[45, 79, 47, 16], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [79, 16, 2] Generated Node #2: [79, 16, 2] from Operation: 47-45=2 Current State: 47:[79, 16, 2], Operations: ['47-45=2'] Exploring Operation: 16*2=32, Resulting Numbers: [79, 32] Generated Node #3: [79, 32] from Operation: 16*2=32 Current State: 47:[79, 32], Operations: ['47-45=2', '16*2=32'] Exploring Operation: 79-32=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 57, 75, 18, 60 ]
96
[ "75-57=18", "18+60=78", "18+78=96" ]
Current State: 96:[57, 75, 18, 60], Operations: [] Exploring Operation: 75-57=18, Resulting Numbers: [18, 60, 18] Generated Node #2: [18, 60, 18] from Operation: 75-57=18 Current State: 96:[18, 60, 18], Operations: ['75-57=18'] Exploring Operation: 18+60=78, Resulting Numbers: [78] 78,96 equal: Goal Reached Exploring Operation: 18+78=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 63, 13, 26, 69 ]
93
[ "63-13=50", "69-26=43", "50+43=93" ]
Current State: 93:[63, 13, 26, 69], Operations: [] Exploring Operation: 63-13=50, Resulting Numbers: [26, 69, 50] Generated Node #2: [26, 69, 50] from Operation: 63-13=50 Current State: 93:[26, 69, 50], Operations: ['63-13=50'] Exploring Operation: 69-26=43, Resulting Numbers: [50, 43] Generated Node #3: [50, 43] from Operation: 69-26=43 Current State: 93:[50, 43], Operations: ['63-13=50', '69-26=43'] Exploring Operation: 50+43=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 27, 61, 38, 63 ]
63
[ "27+61=88", "63-38=25", "88-25=63" ]
Current State: 63:[27, 61, 38, 63], Operations: [] Exploring Operation: 27+61=88, Resulting Numbers: [38, 63, 88] Generated Node #2: [38, 63, 88] from Operation: 27+61=88 Current State: 63:[38, 63, 88], Operations: ['27+61=88'] Exploring Operation: 63-38=25, Resulting Numbers: [88, 25] Generated Node #3: [88, 25] from Operation: 63-38=25 Current State: 63:[88, 25], Operations: ['27+61=88', '63-38=25'] Exploring Operation: 88-25=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 5, 95, 2, 26 ]
64
[ "95/5=19", "2*19=38", "26+38=64" ]
Current State: 64:[5, 95, 2, 26], Operations: [] Exploring Operation: 95/5=19, Resulting Numbers: [2, 26, 19] Generated Node #2: [2, 26, 19] from Operation: 95/5=19 Current State: 64:[2, 26, 19], Operations: ['95/5=19'] Exploring Operation: 2*19=38, Resulting Numbers: [26, 38] Generated Node #3: [26, 38] from Operation: 2*19=38 Current State: 64:[26, 38], Operations: ['95/5=19', '2*19=38'] Exploring Operation: 26+38=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 90, 6, 58, 80 ]
37
[ "90/6=15", "80-58=22", "15+22=37" ]
Current State: 37:[90, 6, 58, 80], Operations: [] Exploring Operation: 90/6=15, Resulting Numbers: [58, 80, 15] Generated Node #2: [58, 80, 15] from Operation: 90/6=15 Current State: 37:[58, 80, 15], Operations: ['90/6=15'] Exploring Operation: 80-58=22, Resulting Numbers: [15, 22] Generated Node #3: [15, 22] from Operation: 80-58=22 Current State: 37:[15, 22], Operations: ['90/6=15', '80-58=22'] Exploring Operation: 15+22=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 24, 40, 70, 7 ]
28
[ "40*7=280", "280/70=4", "24+4=28" ]
Current State: 28:[24, 40, 70, 7], Operations: [] Exploring Operation: 40*7=280, Resulting Numbers: [24, 70, 280] Generated Node #2: [24, 70, 280] from Operation: 40*7=280 Current State: 28:[24, 70, 280], Operations: ['40*7=280'] Exploring Operation: 280/70=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 280/70=4 Current State: 28:[24, 4], Operations: ['40*7=280', '280/70=4'] Exploring Operation: 24+4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 49, 90, 25, 2 ]
69
[ "49-25=24", "90/2=45", "24+45=69" ]
Current State: 69:[49, 90, 25, 2], Operations: [] Exploring Operation: 49-25=24, Resulting Numbers: [90, 2, 24] Generated Node #2: [90, 2, 24] from Operation: 49-25=24 Current State: 69:[90, 2, 24], Operations: ['49-25=24'] Exploring Operation: 90/2=45, Resulting Numbers: [24, 45] Generated Node #3: [24, 45] from Operation: 90/2=45 Current State: 69:[24, 45], Operations: ['49-25=24', '90/2=45'] Exploring Operation: 24+45=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 70, 14, 17, 65 ]
67
[ "65-14=51", "51/17=3", "70-3=67" ]
Current State: 67:[70, 14, 17, 65], Operations: [] Exploring Operation: 65-14=51, Resulting Numbers: [70, 17, 51] Generated Node #2: [70, 17, 51] from Operation: 65-14=51 Current State: 67:[70, 17, 51], Operations: ['65-14=51'] Exploring Operation: 51/17=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 51/17=3 Current State: 67:[70, 3], Operations: ['65-14=51', '51/17=3'] Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 95, 51, 7, 99 ]
23
[ "99-95=4", "7*4=28", "51-28=23" ]
Current State: 23:[95, 51, 7, 99], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [51, 7, 4] Generated Node #2: [51, 7, 4] from Operation: 99-95=4 Current State: 23:[51, 7, 4], Operations: ['99-95=4'] Exploring Operation: 7*4=28, Resulting Numbers: [51, 28] Generated Node #3: [51, 28] from Operation: 7*4=28 Current State: 23:[51, 28], Operations: ['99-95=4', '7*4=28'] Exploring Operation: 51-28=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 58, 39, 87, 96 ]
60
[ "87-39=48", "96/48=2", "58+2=60" ]
Current State: 60:[58, 39, 87, 96], Operations: [] Exploring Operation: 87-39=48, Resulting Numbers: [58, 96, 48] Generated Node #2: [58, 96, 48] from Operation: 87-39=48 Current State: 60:[58, 96, 48], Operations: ['87-39=48'] Exploring Operation: 96/48=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 96/48=2 Current State: 60:[58, 2], Operations: ['87-39=48', '96/48=2'] Exploring Operation: 58+2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 30, 75, 7, 72 ]
97
[ "75-72=3", "30*3=90", "7+90=97" ]
Current State: 97:[30, 75, 7, 72], Operations: [] Exploring Operation: 75-72=3, Resulting Numbers: [30, 7, 3] Generated Node #2: [30, 7, 3] from Operation: 75-72=3 Current State: 97:[30, 7, 3], Operations: ['75-72=3'] Exploring Operation: 30*3=90, Resulting Numbers: [7, 90] Generated Node #3: [7, 90] from Operation: 30*3=90 Current State: 97:[7, 90], Operations: ['75-72=3', '30*3=90'] Exploring Operation: 7+90=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 67, 66, 63, 22 ]
92
[ "67+66=133", "63-22=41", "133-41=92" ]
Current State: 92:[67, 66, 63, 22], Operations: [] Exploring Operation: 67+66=133, Resulting Numbers: [63, 22, 133] Generated Node #2: [63, 22, 133] from Operation: 67+66=133 Current State: 92:[63, 22, 133], Operations: ['67+66=133'] Exploring Operation: 63-22=41, Resulting Numbers: [133, 41] Generated Node #3: [133, 41] from Operation: 63-22=41 Current State: 92:[133, 41], Operations: ['67+66=133', '63-22=41'] Exploring Operation: 133-41=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 39, 46, 92, 73 ]
12
[ "46-39=7", "92-73=19", "19-7=12" ]
Current State: 12:[39, 46, 92, 73], Operations: [] Exploring Operation: 46-39=7, Resulting Numbers: [92, 73, 7] Generated Node #2: [92, 73, 7] from Operation: 46-39=7 Current State: 12:[92, 73, 7], Operations: ['46-39=7'] Exploring Operation: 92-73=19, Resulting Numbers: [7, 19] Generated Node #3: [7, 19] from Operation: 92-73=19 Current State: 12:[7, 19], Operations: ['46-39=7', '92-73=19'] Exploring Operation: 19-7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 62, 20, 19, 67 ]
34
[ "62+20=82", "67-19=48", "82-48=34" ]
Current State: 34:[62, 20, 19, 67], Operations: [] Exploring Operation: 62+20=82, Resulting Numbers: [19, 67, 82] Generated Node #2: [19, 67, 82] from Operation: 62+20=82 Current State: 34:[19, 67, 82], Operations: ['62+20=82'] Exploring Operation: 67-19=48, Resulting Numbers: [82, 48] Generated Node #3: [82, 48] from Operation: 67-19=48 Current State: 34:[82, 48], Operations: ['62+20=82', '67-19=48'] Exploring Operation: 82-48=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 76, 82, 35, 27 ]
54
[ "76-35=41", "82*27=2214", "2214/41=54" ]
Current State: 54:[76, 82, 35, 27], Operations: [] Exploring Operation: 76-35=41, Resulting Numbers: [82, 27, 41] Generated Node #2: [82, 27, 41] from Operation: 76-35=41 Current State: 54:[82, 27, 41], Operations: ['76-35=41'] Exploring Operation: 82*27=2214, Resulting Numbers: [41, 2214] Generated Node #3: [41, 2214] from Operation: 82*27=2214 Current State: 54:[41, 2214], Operations: ['76-35=41', '82*27=2214'] Exploring Operation: 2214/41=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 59, 47, 55, 29 ]
72
[ "59-47=12", "55+29=84", "84-12=72" ]
Current State: 72:[59, 47, 55, 29], Operations: [] Exploring Operation: 59-47=12, Resulting Numbers: [55, 29, 12] Generated Node #2: [55, 29, 12] from Operation: 59-47=12 Current State: 72:[55, 29, 12], Operations: ['59-47=12'] Exploring Operation: 55+29=84, Resulting Numbers: [12, 84] Generated Node #3: [12, 84] from Operation: 55+29=84 Current State: 72:[12, 84], Operations: ['59-47=12', '55+29=84'] Exploring Operation: 84-12=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 10, 6, 36, 28 ]
80
[ "10+6=16", "36+28=64", "16+64=80" ]
Current State: 80:[10, 6, 36, 28], Operations: [] Exploring Operation: 10+6=16, Resulting Numbers: [36, 28, 16] Generated Node #2: [36, 28, 16] from Operation: 10+6=16 Current State: 80:[36, 28, 16], Operations: ['10+6=16'] Exploring Operation: 36+28=64, Resulting Numbers: [16, 64] Generated Node #3: [16, 64] from Operation: 36+28=64 Current State: 80:[16, 64], Operations: ['10+6=16', '36+28=64'] Exploring Operation: 16+64=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 58, 40, 16, 42 ]
84
[ "58-40=18", "18-16=2", "42*2=84" ]
Current State: 84:[58, 40, 16, 42], Operations: [] Exploring Operation: 58-40=18, Resulting Numbers: [16, 42, 18] Generated Node #2: [16, 42, 18] from Operation: 58-40=18 Current State: 84:[16, 42, 18], Operations: ['58-40=18'] Exploring Operation: 18-16=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 18-16=2 Current State: 84:[42, 2], Operations: ['58-40=18', '18-16=2'] Exploring Operation: 42*2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 35, 45, 82, 25 ]
97
[ "45-35=10", "82+25=107", "107-10=97" ]
Current State: 97:[35, 45, 82, 25], Operations: [] Exploring Operation: 45-35=10, Resulting Numbers: [82, 25, 10] Generated Node #2: [82, 25, 10] from Operation: 45-35=10 Current State: 97:[82, 25, 10], Operations: ['45-35=10'] Exploring Operation: 82+25=107, Resulting Numbers: [10, 107] Generated Node #3: [10, 107] from Operation: 82+25=107 Current State: 97:[10, 107], Operations: ['45-35=10', '82+25=107'] Exploring Operation: 107-10=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 82, 60, 59, 2 ]
12
[ "82+60=142", "142/2=71", "71-59=12" ]
Current State: 12:[82, 60, 59, 2], Operations: [] Exploring Operation: 82+60=142, Resulting Numbers: [59, 2, 142] Generated Node #2: [59, 2, 142] from Operation: 82+60=142 Current State: 12:[59, 2, 142], Operations: ['82+60=142'] Exploring Operation: 142/2=71, Resulting Numbers: [59, 71] Generated Node #3: [59, 71] from Operation: 142/2=71 Current State: 12:[59, 71], Operations: ['82+60=142', '142/2=71'] Exploring Operation: 71-59=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 76, 92, 73, 76 ]
73
[ "76-76=0", "92*0=0", "73+0=73" ]
Current State: 73:[76, 92, 73, 76], Operations: [] Exploring Operation: 76-76=0, Resulting Numbers: [92, 73, 0] Generated Node #2: [92, 73, 0] from Operation: 76-76=0 Current State: 73:[92, 73, 0], Operations: ['76-76=0'] Exploring Operation: 92*0=0, Resulting Numbers: [73, 0] Generated Node #3: [73, 0] from Operation: 92*0=0 Current State: 73:[73, 0], Operations: ['76-76=0', '92*0=0'] Exploring Operation: 73+0=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 20, 47, 27, 25 ]
79
[ "47-20=27", "27+25=52", "27+52=79" ]
Current State: 79:[20, 47, 27, 25], Operations: [] Exploring Operation: 47-20=27, Resulting Numbers: [27, 25, 27] Generated Node #2: [27, 25, 27] from Operation: 47-20=27 Current State: 79:[27, 25, 27], Operations: ['47-20=27'] Exploring Operation: 27+25=52, Resulting Numbers: [52] 52,79 equal: Goal Reached Exploring Operation: 27+52=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 39, 41, 16, 31 ]
95
[ "39+41=80", "31-16=15", "80+15=95" ]
Current State: 95:[39, 41, 16, 31], Operations: [] Exploring Operation: 39+41=80, Resulting Numbers: [16, 31, 80] Generated Node #2: [16, 31, 80] from Operation: 39+41=80 Current State: 95:[16, 31, 80], Operations: ['39+41=80'] Exploring Operation: 31-16=15, Resulting Numbers: [80, 15] Generated Node #3: [80, 15] from Operation: 31-16=15 Current State: 95:[80, 15], Operations: ['39+41=80', '31-16=15'] Exploring Operation: 80+15=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 61, 3, 83, 15 ]
85
[ "61*3=183", "83+15=98", "183-98=85" ]
Current State: 85:[61, 3, 83, 15], Operations: [] Exploring Operation: 61*3=183, Resulting Numbers: [83, 15, 183] Generated Node #2: [83, 15, 183] from Operation: 61*3=183 Current State: 85:[83, 15, 183], Operations: ['61*3=183'] Exploring Operation: 83+15=98, Resulting Numbers: [183, 98] Generated Node #3: [183, 98] from Operation: 83+15=98 Current State: 85:[183, 98], Operations: ['61*3=183', '83+15=98'] Exploring Operation: 183-98=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 33, 23, 3, 39 ]
81
[ "39-23=16", "3*16=48", "33+48=81" ]
Current State: 81:[33, 23, 3, 39], Operations: [] Exploring Operation: 39-23=16, Resulting Numbers: [33, 3, 16] Generated Node #2: [33, 3, 16] from Operation: 39-23=16 Current State: 81:[33, 3, 16], Operations: ['39-23=16'] Exploring Operation: 3*16=48, Resulting Numbers: [33, 48] Generated Node #3: [33, 48] from Operation: 3*16=48 Current State: 81:[33, 48], Operations: ['39-23=16', '3*16=48'] Exploring Operation: 33+48=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 7, 7, 41, 14 ]
50
[ "7+41=48", "7*14=98", "98-48=50" ]
Current State: 50:[7, 7, 41, 14], Operations: [] Exploring Operation: 7+41=48, Resulting Numbers: [14, 48] Generated Node #2: [14, 48] from Operation: 7+41=48 Current State: 50:[14, 48], Operations: ['7+41=48'] Exploring Operation: 7*14=98, Resulting Numbers: [48, 98] Generated Node #3: [48, 98] from Operation: 7*14=98 Current State: 50:[48, 98], Operations: ['7+41=48', '7*14=98'] Exploring Operation: 98-48=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 78, 17, 14, 74 ]
73
[ "78-74=4", "14*4=56", "17+56=73" ]
Current State: 73:[78, 17, 14, 74], Operations: [] Exploring Operation: 78-74=4, Resulting Numbers: [17, 14, 4] Generated Node #2: [17, 14, 4] from Operation: 78-74=4 Current State: 73:[17, 14, 4], Operations: ['78-74=4'] Exploring Operation: 14*4=56, Resulting Numbers: [17, 56] Generated Node #3: [17, 56] from Operation: 14*4=56 Current State: 73:[17, 56], Operations: ['78-74=4', '14*4=56'] Exploring Operation: 17+56=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 1, 88, 41, 19 ]
65
[ "88-1=87", "41-19=22", "87-22=65" ]
Current State: 65:[1, 88, 41, 19], Operations: [] Exploring Operation: 88-1=87, Resulting Numbers: [41, 19, 87] Generated Node #2: [41, 19, 87] from Operation: 88-1=87 Current State: 65:[41, 19, 87], Operations: ['88-1=87'] Exploring Operation: 41-19=22, Resulting Numbers: [87, 22] Generated Node #3: [87, 22] from Operation: 41-19=22 Current State: 65:[87, 22], Operations: ['88-1=87', '41-19=22'] Exploring Operation: 87-22=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 69, 5, 47, 76 ]
93
[ "69-5=64", "76-47=29", "64+29=93" ]
Current State: 93:[69, 5, 47, 76], Operations: [] Exploring Operation: 69-5=64, Resulting Numbers: [47, 76, 64] Generated Node #2: [47, 76, 64] from Operation: 69-5=64 Current State: 93:[47, 76, 64], Operations: ['69-5=64'] Exploring Operation: 76-47=29, Resulting Numbers: [64, 29] Generated Node #3: [64, 29] from Operation: 76-47=29 Current State: 93:[64, 29], Operations: ['69-5=64', '76-47=29'] Exploring Operation: 64+29=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 53, 68, 67, 13 ]
67
[ "53+68=121", "67-13=54", "121-54=67" ]
Current State: 67:[53, 68, 67, 13], Operations: [] Exploring Operation: 53+68=121, Resulting Numbers: [67, 13, 121] Generated Node #2: [67, 13, 121] from Operation: 53+68=121 Current State: 67:[67, 13, 121], Operations: ['53+68=121'] Exploring Operation: 67-13=54, Resulting Numbers: [121, 54] Generated Node #3: [121, 54] from Operation: 67-13=54 Current State: 67:[121, 54], Operations: ['53+68=121', '67-13=54'] Exploring Operation: 121-54=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 48, 86, 72, 20 ]
42
[ "48+86=134", "72+20=92", "134-92=42" ]
Current State: 42:[48, 86, 72, 20], Operations: [] Exploring Operation: 48+86=134, Resulting Numbers: [72, 20, 134] Generated Node #2: [72, 20, 134] from Operation: 48+86=134 Current State: 42:[72, 20, 134], Operations: ['48+86=134'] Exploring Operation: 72+20=92, Resulting Numbers: [134, 92] Generated Node #3: [134, 92] from Operation: 72+20=92 Current State: 42:[134, 92], Operations: ['48+86=134', '72+20=92'] Exploring Operation: 134-92=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 62, 15, 45, 88 ]
56
[ "62+15=77", "45+88=133", "133-77=56" ]
Current State: 56:[62, 15, 45, 88], Operations: [] Exploring Operation: 62+15=77, Resulting Numbers: [45, 88, 77] Generated Node #2: [45, 88, 77] from Operation: 62+15=77 Current State: 56:[45, 88, 77], Operations: ['62+15=77'] Exploring Operation: 45+88=133, Resulting Numbers: [77, 133] Generated Node #3: [77, 133] from Operation: 45+88=133 Current State: 56:[77, 133], Operations: ['62+15=77', '45+88=133'] Exploring Operation: 133-77=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 79, 38, 82, 5 ]
10
[ "79-38=41", "82*5=410", "410/41=10" ]
Current State: 10:[79, 38, 82, 5], Operations: [] Exploring Operation: 79-38=41, Resulting Numbers: [82, 5, 41] Generated Node #2: [82, 5, 41] from Operation: 79-38=41 Current State: 10:[82, 5, 41], Operations: ['79-38=41'] Exploring Operation: 82*5=410, Resulting Numbers: [41, 410] Generated Node #3: [41, 410] from Operation: 82*5=410 Current State: 10:[41, 410], Operations: ['79-38=41', '82*5=410'] Exploring Operation: 410/41=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 50, 66, 5, 69 ]
25
[ "66+5=71", "71-69=2", "50/2=25" ]
Current State: 25:[50, 66, 5, 69], Operations: [] Exploring Operation: 66+5=71, Resulting Numbers: [50, 69, 71] Generated Node #2: [50, 69, 71] from Operation: 66+5=71 Current State: 25:[50, 69, 71], Operations: ['66+5=71'] Exploring Operation: 71-69=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 71-69=2 Current State: 25:[50, 2], Operations: ['66+5=71', '71-69=2'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 5, 93, 19, 90 ]
93
[ "90/5=18", "19-18=1", "93*1=93" ]
Current State: 93:[5, 93, 19, 90], Operations: [] Exploring Operation: 90/5=18, Resulting Numbers: [93, 19, 18] Generated Node #2: [93, 19, 18] from Operation: 90/5=18 Current State: 93:[93, 19, 18], Operations: ['90/5=18'] Exploring Operation: 19-18=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 19-18=1 Current State: 93:[93, 1], Operations: ['90/5=18', '19-18=1'] Exploring Operation: 93*1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 65, 65, 34, 5 ]
39
[ "65-65=0", "34+5=39", "0+39=39" ]
Current State: 39:[65, 65, 34, 5], Operations: [] Exploring Operation: 65-65=0, Resulting Numbers: [34, 5, 0] Generated Node #2: [34, 5, 0] from Operation: 65-65=0 Current State: 39:[34, 5, 0], Operations: ['65-65=0'] Exploring Operation: 34+5=39, Resulting Numbers: [0, 39] Generated Node #3: [0, 39] from Operation: 34+5=39 Current State: 39:[0, 39], Operations: ['65-65=0', '34+5=39'] Exploring Operation: 0+39=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 81, 43, 44, 99 ]
93
[ "81-43=38", "99-44=55", "38+55=93" ]
Current State: 93:[81, 43, 44, 99], Operations: [] Exploring Operation: 81-43=38, Resulting Numbers: [44, 99, 38] Generated Node #2: [44, 99, 38] from Operation: 81-43=38 Current State: 93:[44, 99, 38], Operations: ['81-43=38'] Exploring Operation: 99-44=55, Resulting Numbers: [38, 55] Generated Node #3: [38, 55] from Operation: 99-44=55 Current State: 93:[38, 55], Operations: ['81-43=38', '99-44=55'] Exploring Operation: 38+55=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 96, 75, 44, 89 ]
36
[ "75*44=3300", "3300-96=3204", "3204/89=36" ]
Current State: 36:[96, 75, 44, 89], Operations: [] Exploring Operation: 75*44=3300, Resulting Numbers: [96, 89, 3300] Generated Node #2: [96, 89, 3300] from Operation: 75*44=3300 Current State: 36:[96, 89, 3300], Operations: ['75*44=3300'] Exploring Operation: 3300-96=3204, Resulting Numbers: [89, 3204] Generated Node #3: [89, 3204] from Operation: 3300-96=3204 Current State: 36:[89, 3204], Operations: ['75*44=3300', '3300-96=3204'] Exploring Operation: 3204/89=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 18, 67, 96, 48 ]
76
[ "18*48=864", "864/96=9", "67+9=76" ]
Current State: 76:[18, 67, 96, 48], Operations: [] Exploring Operation: 18*48=864, Resulting Numbers: [67, 96, 864] Generated Node #2: [67, 96, 864] from Operation: 18*48=864 Current State: 76:[67, 96, 864], Operations: ['18*48=864'] Exploring Operation: 864/96=9, Resulting Numbers: [67, 9] Generated Node #3: [67, 9] from Operation: 864/96=9 Current State: 76:[67, 9], Operations: ['18*48=864', '864/96=9'] Exploring Operation: 67+9=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 35, 91, 79, 15 ]
32
[ "35+91=126", "79+15=94", "126-94=32" ]
Current State: 32:[35, 91, 79, 15], Operations: [] Exploring Operation: 35+91=126, Resulting Numbers: [79, 15, 126] Generated Node #2: [79, 15, 126] from Operation: 35+91=126 Current State: 32:[79, 15, 126], Operations: ['35+91=126'] Exploring Operation: 79+15=94, Resulting Numbers: [126, 94] Generated Node #3: [126, 94] from Operation: 79+15=94 Current State: 32:[126, 94], Operations: ['35+91=126', '79+15=94'] Exploring Operation: 126-94=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 41, 56, 47, 25 ]
75
[ "41+56=97", "47-25=22", "97-22=75" ]
Current State: 75:[41, 56, 47, 25], Operations: [] Exploring Operation: 41+56=97, Resulting Numbers: [47, 25, 97] Generated Node #2: [47, 25, 97] from Operation: 41+56=97 Current State: 75:[47, 25, 97], Operations: ['41+56=97'] Exploring Operation: 47-25=22, Resulting Numbers: [97, 22] Generated Node #3: [97, 22] from Operation: 47-25=22 Current State: 75:[97, 22], Operations: ['41+56=97', '47-25=22'] Exploring Operation: 97-22=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 11, 5, 37, 50 ]
54
[ "50-37=13", "5*13=65", "65-11=54" ]
Current State: 54:[11, 5, 37, 50], Operations: [] Exploring Operation: 50-37=13, Resulting Numbers: [11, 5, 13] Generated Node #2: [11, 5, 13] from Operation: 50-37=13 Current State: 54:[11, 5, 13], Operations: ['50-37=13'] Exploring Operation: 5*13=65, Resulting Numbers: [11, 65] Generated Node #3: [11, 65] from Operation: 5*13=65 Current State: 54:[11, 65], Operations: ['50-37=13', '5*13=65'] Exploring Operation: 65-11=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 11, 92, 2, 90 ]
26
[ "11+92=103", "103-90=13", "2*13=26" ]
Current State: 26:[11, 92, 2, 90], Operations: [] Exploring Operation: 11+92=103, Resulting Numbers: [2, 90, 103] Generated Node #2: [2, 90, 103] from Operation: 11+92=103 Current State: 26:[2, 90, 103], Operations: ['11+92=103'] Exploring Operation: 103-90=13, Resulting Numbers: [2, 13] Generated Node #3: [2, 13] from Operation: 103-90=13 Current State: 26:[2, 13], Operations: ['11+92=103', '103-90=13'] Exploring Operation: 2*13=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 51, 74, 40, 70 ]
61
[ "74-70=4", "40/4=10", "51+10=61" ]
Current State: 61:[51, 74, 40, 70], Operations: [] Exploring Operation: 74-70=4, Resulting Numbers: [51, 40, 4] Generated Node #2: [51, 40, 4] from Operation: 74-70=4 Current State: 61:[51, 40, 4], Operations: ['74-70=4'] Exploring Operation: 40/4=10, Resulting Numbers: [51, 10] Generated Node #3: [51, 10] from Operation: 40/4=10 Current State: 61:[51, 10], Operations: ['74-70=4', '40/4=10'] Exploring Operation: 51+10=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 23, 21, 45, 69 ]
18
[ "69/23=3", "21*3=63", "63-45=18" ]
Current State: 18:[23, 21, 45, 69], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [21, 45, 3] Generated Node #2: [21, 45, 3] from Operation: 69/23=3 Current State: 18:[21, 45, 3], Operations: ['69/23=3'] Exploring Operation: 21*3=63, Resulting Numbers: [45, 63] Generated Node #3: [45, 63] from Operation: 21*3=63 Current State: 18:[45, 63], Operations: ['69/23=3', '21*3=63'] Exploring Operation: 63-45=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 97, 52, 16, 86 ]
47
[ "97+52=149", "16+86=102", "149-102=47" ]
Current State: 47:[97, 52, 16, 86], Operations: [] Exploring Operation: 97+52=149, Resulting Numbers: [16, 86, 149] Generated Node #2: [16, 86, 149] from Operation: 97+52=149 Current State: 47:[16, 86, 149], Operations: ['97+52=149'] Exploring Operation: 16+86=102, Resulting Numbers: [149, 102] Generated Node #3: [149, 102] from Operation: 16+86=102 Current State: 47:[149, 102], Operations: ['97+52=149', '16+86=102'] Exploring Operation: 149-102=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 6, 62, 55, 75 ]
58
[ "75-55=20", "6*20=120", "120-62=58" ]
Current State: 58:[6, 62, 55, 75], Operations: [] Exploring Operation: 75-55=20, Resulting Numbers: [6, 62, 20] Generated Node #2: [6, 62, 20] from Operation: 75-55=20 Current State: 58:[6, 62, 20], Operations: ['75-55=20'] Exploring Operation: 6*20=120, Resulting Numbers: [62, 120] Generated Node #3: [62, 120] from Operation: 6*20=120 Current State: 58:[62, 120], Operations: ['75-55=20', '6*20=120'] Exploring Operation: 120-62=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 20, 52, 86, 69 ]
10
[ "20*69=1380", "52+86=138", "1380/138=10" ]
Current State: 10:[20, 52, 86, 69], Operations: [] Exploring Operation: 20*69=1380, Resulting Numbers: [52, 86, 1380] Generated Node #2: [52, 86, 1380] from Operation: 20*69=1380 Current State: 10:[52, 86, 1380], Operations: ['20*69=1380'] Exploring Operation: 52+86=138, Resulting Numbers: [1380, 138] Generated Node #3: [1380, 138] from Operation: 52+86=138 Current State: 10:[1380, 138], Operations: ['20*69=1380', '52+86=138'] Exploring Operation: 1380/138=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 19, 9, 58, 12 ]
18
[ "19+9=28", "58-12=46", "46-28=18" ]
Current State: 18:[19, 9, 58, 12], Operations: [] Exploring Operation: 19+9=28, Resulting Numbers: [58, 12, 28] Generated Node #2: [58, 12, 28] from Operation: 19+9=28 Current State: 18:[58, 12, 28], Operations: ['19+9=28'] Exploring Operation: 58-12=46, Resulting Numbers: [28, 46] Generated Node #3: [28, 46] from Operation: 58-12=46 Current State: 18:[28, 46], Operations: ['19+9=28', '58-12=46'] Exploring Operation: 46-28=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 3, 28, 57, 25 ]
58
[ "28-3=25", "25/25=1", "57+1=58" ]
Current State: 58:[3, 28, 57, 25], Operations: [] Exploring Operation: 28-3=25, Resulting Numbers: [57, 25, 25] Generated Node #2: [57, 25, 25] from Operation: 28-3=25 Current State: 58:[57, 25, 25], Operations: ['28-3=25'] Exploring Operation: 25/25=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 25/25=1 Current State: 58:[57, 1], Operations: ['28-3=25', '25/25=1'] Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 36, 65, 26, 40 ]
43
[ "65-36=29", "40-26=14", "29+14=43" ]
Current State: 43:[36, 65, 26, 40], Operations: [] Exploring Operation: 65-36=29, Resulting Numbers: [26, 40, 29] Generated Node #2: [26, 40, 29] from Operation: 65-36=29 Current State: 43:[26, 40, 29], Operations: ['65-36=29'] Exploring Operation: 40-26=14, Resulting Numbers: [29, 14] Generated Node #3: [29, 14] from Operation: 40-26=14 Current State: 43:[29, 14], Operations: ['65-36=29', '40-26=14'] Exploring Operation: 29+14=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 90, 2, 17, 1 ]
63
[ "90/2=45", "17+1=18", "45+18=63" ]
Current State: 63:[90, 2, 17, 1], Operations: [] Exploring Operation: 90/2=45, Resulting Numbers: [17, 1, 45] Generated Node #2: [17, 1, 45] from Operation: 90/2=45 Current State: 63:[17, 1, 45], Operations: ['90/2=45'] Exploring Operation: 17+1=18, Resulting Numbers: [45, 18] Generated Node #3: [45, 18] from Operation: 17+1=18 Current State: 63:[45, 18], Operations: ['90/2=45', '17+1=18'] Exploring Operation: 45+18=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 27, 2, 13, 66 ]
52
[ "27+13=40", "66-40=26", "2*26=52" ]
Current State: 52:[27, 2, 13, 66], Operations: [] Exploring Operation: 27+13=40, Resulting Numbers: [2, 66, 40] Generated Node #2: [2, 66, 40] from Operation: 27+13=40 Current State: 52:[2, 66, 40], Operations: ['27+13=40'] Exploring Operation: 66-40=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 66-40=26 Current State: 52:[2, 26], Operations: ['27+13=40', '66-40=26'] Exploring Operation: 2*26=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 51, 37, 6, 54 ]
39
[ "54-51=3", "6/3=2", "37+2=39" ]
Current State: 39:[51, 37, 6, 54], Operations: [] Exploring Operation: 54-51=3, Resulting Numbers: [37, 6, 3] Generated Node #2: [37, 6, 3] from Operation: 54-51=3 Current State: 39:[37, 6, 3], Operations: ['54-51=3'] Exploring Operation: 6/3=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 6/3=2 Current State: 39:[37, 2], Operations: ['54-51=3', '6/3=2'] Exploring Operation: 37+2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 45, 37, 75, 34 ]
41
[ "45+37=82", "75-34=41", "82-41=41" ]
Current State: 41:[45, 37, 75, 34], Operations: [] Exploring Operation: 45+37=82, Resulting Numbers: [75, 34, 82] Generated Node #2: [75, 34, 82] from Operation: 45+37=82 Current State: 41:[75, 34, 82], Operations: ['45+37=82'] Exploring Operation: 75-34=41, Resulting Numbers: [82, 41] Generated Node #3: [82, 41] from Operation: 75-34=41 Current State: 41:[82, 41], Operations: ['45+37=82', '75-34=41'] Exploring Operation: 82-41=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 75, 18, 19, 80 ]
71
[ "80-75=5", "18*5=90", "90-19=71" ]
Current State: 71:[75, 18, 19, 80], Operations: [] Exploring Operation: 80-75=5, Resulting Numbers: [18, 19, 5] Generated Node #2: [18, 19, 5] from Operation: 80-75=5 Current State: 71:[18, 19, 5], Operations: ['80-75=5'] Exploring Operation: 18*5=90, Resulting Numbers: [19, 90] Generated Node #3: [19, 90] from Operation: 18*5=90 Current State: 71:[19, 90], Operations: ['80-75=5', '18*5=90'] Exploring Operation: 90-19=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 71, 64, 36, 43 ]
14
[ "71-64=7", "43-36=7", "7+7=14" ]
Current State: 14:[71, 64, 36, 43], Operations: [] Exploring Operation: 71-64=7, Resulting Numbers: [36, 43, 7] Generated Node #2: [36, 43, 7] from Operation: 71-64=7 Current State: 14:[36, 43, 7], Operations: ['71-64=7'] Exploring Operation: 43-36=7, Resulting Numbers: [7, 7] Generated Node #3: [7, 7] from Operation: 43-36=7 Current State: 14:[7, 7], Operations: ['71-64=7', '43-36=7'] Exploring Operation: 7+7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 20, 58, 8, 84 ]
18
[ "20*8=160", "58+84=142", "160-142=18" ]
Current State: 18:[20, 58, 8, 84], Operations: [] Exploring Operation: 20*8=160, Resulting Numbers: [58, 84, 160] Generated Node #2: [58, 84, 160] from Operation: 20*8=160 Current State: 18:[58, 84, 160], Operations: ['20*8=160'] Exploring Operation: 58+84=142, Resulting Numbers: [160, 142] Generated Node #3: [160, 142] from Operation: 58+84=142 Current State: 18:[160, 142], Operations: ['20*8=160', '58+84=142'] Exploring Operation: 160-142=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4