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
[ 20, 52, 31, 43 ]
43
[ "52-20=32", "32-31=1", "43*1=43" ]
Current State: 43:[20, 52, 31, 43], Operations: [] Exploring Operation: 52-20=32, Resulting Numbers: [31, 43, 32] Generated Node #2: [31, 43, 32] from Operation: 52-20=32 Current State: 43:[31, 43, 32], Operations: ['52-20=32'] Exploring Operation: 32-31=1, Resulting Numbers: [43, 1] Generated Node #3: [43, 1] from Operation: 32-31=1 Current State: 43:[43, 1], Operations: ['52-20=32', '32-31=1'] Exploring Operation: 43*1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 56, 2, 46, 76 ]
89
[ "56+46=102", "76+102=178", "178/2=89" ]
Current State: 89:[56, 2, 46, 76], Operations: [] Exploring Operation: 56+46=102, Resulting Numbers: [2, 76, 102] Generated Node #2: [2, 76, 102] from Operation: 56+46=102 Current State: 89:[2, 76, 102], Operations: ['56+46=102'] Exploring Operation: 76+102=178, Resulting Numbers: [2, 178] Generated Node #3: [2, 178] from Operation: 76+102=178 Current State: 89:[2, 178], Operations: ['56+46=102', '76+102=178'] Exploring Operation: 178/2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 68, 34, 81, 20 ]
99
[ "68/34=2", "81+20=101", "101-2=99" ]
Current State: 99:[68, 34, 81, 20], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [81, 20, 2] Generated Node #2: [81, 20, 2] from Operation: 68/34=2 Current State: 99:[81, 20, 2], Operations: ['68/34=2'] Exploring Operation: 81+20=101, Resulting Numbers: [2, 101] Generated Node #3: [2, 101] from Operation: 81+20=101 Current State: 99:[2, 101], Operations: ['68/34=2', '81+20=101'] Exploring Operation: 101-2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 31, 11, 88, 52 ]
78
[ "31+11=42", "88-52=36", "42+36=78" ]
Current State: 78:[31, 11, 88, 52], Operations: [] Exploring Operation: 31+11=42, Resulting Numbers: [88, 52, 42] Generated Node #2: [88, 52, 42] from Operation: 31+11=42 Current State: 78:[88, 52, 42], Operations: ['31+11=42'] Exploring Operation: 88-52=36, Resulting Numbers: [42, 36] Generated Node #3: [42, 36] from Operation: 88-52=36 Current State: 78:[42, 36], Operations: ['31+11=42', '88-52=36'] Exploring Operation: 42+36=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 8, 66, 47, 12 ]
77
[ "8*12=96", "66-47=19", "96-19=77" ]
Current State: 77:[8, 66, 47, 12], Operations: [] Exploring Operation: 8*12=96, Resulting Numbers: [66, 47, 96] Generated Node #2: [66, 47, 96] from Operation: 8*12=96 Current State: 77:[66, 47, 96], Operations: ['8*12=96'] Exploring Operation: 66-47=19, Resulting Numbers: [96, 19] Generated Node #3: [96, 19] from Operation: 66-47=19 Current State: 77:[96, 19], Operations: ['8*12=96', '66-47=19'] Exploring Operation: 96-19=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 90, 27, 88, 84 ]
30
[ "90-88=2", "27*2=54", "84-54=30" ]
Current State: 30:[90, 27, 88, 84], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [27, 84, 2] Generated Node #2: [27, 84, 2] from Operation: 90-88=2 Current State: 30:[27, 84, 2], Operations: ['90-88=2'] Exploring Operation: 27*2=54, Resulting Numbers: [84, 54] Generated Node #3: [84, 54] from Operation: 27*2=54 Current State: 30:[84, 54], Operations: ['90-88=2', '27*2=54'] Exploring Operation: 84-54=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 66, 15, 25, 76 ]
34
[ "66*25=1650", "1650/15=110", "110-76=34" ]
Current State: 34:[66, 15, 25, 76], Operations: [] Exploring Operation: 66*25=1650, Resulting Numbers: [15, 76, 1650] Generated Node #2: [15, 76, 1650] from Operation: 66*25=1650 Current State: 34:[15, 76, 1650], Operations: ['66*25=1650'] Exploring Operation: 1650/15=110, Resulting Numbers: [76, 110] Generated Node #3: [76, 110] from Operation: 1650/15=110 Current State: 34:[76, 110], Operations: ['66*25=1650', '1650/15=110'] Exploring Operation: 110-76=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 72, 23, 7, 30 ]
58
[ "72+23=95", "7+30=37", "95-37=58" ]
Current State: 58:[72, 23, 7, 30], Operations: [] Exploring Operation: 72+23=95, Resulting Numbers: [7, 30, 95] Generated Node #2: [7, 30, 95] from Operation: 72+23=95 Current State: 58:[7, 30, 95], Operations: ['72+23=95'] Exploring Operation: 7+30=37, Resulting Numbers: [95, 37] Generated Node #3: [95, 37] from Operation: 7+30=37 Current State: 58:[95, 37], Operations: ['72+23=95', '7+30=37'] Exploring Operation: 95-37=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 58, 7, 28, 93 ]
39
[ "93-58=35", "28/7=4", "35+4=39" ]
Current State: 39:[58, 7, 28, 93], Operations: [] Exploring Operation: 93-58=35, Resulting Numbers: [7, 28, 35] Generated Node #2: [7, 28, 35] from Operation: 93-58=35 Current State: 39:[7, 28, 35], Operations: ['93-58=35'] Exploring Operation: 28/7=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 28/7=4 Current State: 39:[35, 4], Operations: ['93-58=35', '28/7=4'] Exploring Operation: 35+4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 33, 30, 12, 22 ]
73
[ "33+30=63", "22-12=10", "63+10=73" ]
Current State: 73:[33, 30, 12, 22], Operations: [] Exploring Operation: 33+30=63, Resulting Numbers: [12, 22, 63] Generated Node #2: [12, 22, 63] from Operation: 33+30=63 Current State: 73:[12, 22, 63], Operations: ['33+30=63'] Exploring Operation: 22-12=10, Resulting Numbers: [63, 10] Generated Node #3: [63, 10] from Operation: 22-12=10 Current State: 73:[63, 10], Operations: ['33+30=63', '22-12=10'] Exploring Operation: 63+10=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 1, 63, 41, 83 ]
22
[ "1+63=64", "83-41=42", "64-42=22" ]
Current State: 22:[1, 63, 41, 83], Operations: [] Exploring Operation: 1+63=64, Resulting Numbers: [41, 83, 64] Generated Node #2: [41, 83, 64] from Operation: 1+63=64 Current State: 22:[41, 83, 64], Operations: ['1+63=64'] Exploring Operation: 83-41=42, Resulting Numbers: [64, 42] Generated Node #3: [64, 42] from Operation: 83-41=42 Current State: 22:[64, 42], Operations: ['1+63=64', '83-41=42'] Exploring Operation: 64-42=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 67, 10, 12, 16 ]
73
[ "67+10=77", "16-12=4", "77-4=73" ]
Current State: 73:[67, 10, 12, 16], Operations: [] Exploring Operation: 67+10=77, Resulting Numbers: [12, 16, 77] Generated Node #2: [12, 16, 77] from Operation: 67+10=77 Current State: 73:[12, 16, 77], Operations: ['67+10=77'] Exploring Operation: 16-12=4, Resulting Numbers: [77, 4] Generated Node #3: [77, 4] from Operation: 16-12=4 Current State: 73:[77, 4], Operations: ['67+10=77', '16-12=4'] Exploring Operation: 77-4=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 61, 50, 49, 37 ]
97
[ "61-50=11", "49+37=86", "11+86=97" ]
Current State: 97:[61, 50, 49, 37], Operations: [] Exploring Operation: 61-50=11, Resulting Numbers: [49, 37, 11] Generated Node #2: [49, 37, 11] from Operation: 61-50=11 Current State: 97:[49, 37, 11], Operations: ['61-50=11'] Exploring Operation: 49+37=86, Resulting Numbers: [11, 86] Generated Node #3: [11, 86] from Operation: 49+37=86 Current State: 97:[11, 86], Operations: ['61-50=11', '49+37=86'] Exploring Operation: 11+86=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 40, 97, 89, 72 ]
14
[ "40+72=112", "97-89=8", "112/8=14" ]
Current State: 14:[40, 97, 89, 72], Operations: [] Exploring Operation: 40+72=112, Resulting Numbers: [97, 89, 112] Generated Node #2: [97, 89, 112] from Operation: 40+72=112 Current State: 14:[97, 89, 112], Operations: ['40+72=112'] Exploring Operation: 97-89=8, Resulting Numbers: [112, 8] Generated Node #3: [112, 8] from Operation: 97-89=8 Current State: 14:[112, 8], Operations: ['40+72=112', '97-89=8'] Exploring Operation: 112/8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 6, 79, 34, 86 ]
99
[ "34+86=120", "120/6=20", "79+20=99" ]
Current State: 99:[6, 79, 34, 86], Operations: [] Exploring Operation: 34+86=120, Resulting Numbers: [6, 79, 120] Generated Node #2: [6, 79, 120] from Operation: 34+86=120 Current State: 99:[6, 79, 120], Operations: ['34+86=120'] Exploring Operation: 120/6=20, Resulting Numbers: [79, 20] Generated Node #3: [79, 20] from Operation: 120/6=20 Current State: 99:[79, 20], Operations: ['34+86=120', '120/6=20'] Exploring Operation: 79+20=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 67, 92, 77, 46 ]
12
[ "77-67=10", "92/46=2", "10+2=12" ]
Current State: 12:[67, 92, 77, 46], Operations: [] Exploring Operation: 77-67=10, Resulting Numbers: [92, 46, 10] Generated Node #2: [92, 46, 10] from Operation: 77-67=10 Current State: 12:[92, 46, 10], Operations: ['77-67=10'] Exploring Operation: 92/46=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 92/46=2 Current State: 12:[10, 2], Operations: ['77-67=10', '92/46=2'] Exploring Operation: 10+2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 92, 2, 69, 81 ]
29
[ "92-69=23", "81-23=58", "58/2=29" ]
Current State: 29:[92, 2, 69, 81], Operations: [] Exploring Operation: 92-69=23, Resulting Numbers: [2, 81, 23] Generated Node #2: [2, 81, 23] from Operation: 92-69=23 Current State: 29:[2, 81, 23], Operations: ['92-69=23'] Exploring Operation: 81-23=58, Resulting Numbers: [2, 58] Generated Node #3: [2, 58] from Operation: 81-23=58 Current State: 29:[2, 58], Operations: ['92-69=23', '81-23=58'] Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 23, 49, 6, 17 ]
85
[ "23-17=6", "6*6=36", "49+36=85" ]
Current State: 85:[23, 49, 6, 17], Operations: [] Exploring Operation: 23-17=6, Resulting Numbers: [49, 6, 6] Generated Node #2: [49, 6, 6] from Operation: 23-17=6 Current State: 85:[49, 6, 6], Operations: ['23-17=6'] Exploring Operation: 6*6=36, Resulting Numbers: [49, 36] Generated Node #3: [49, 36] from Operation: 6*6=36 Current State: 85:[49, 36], Operations: ['23-17=6', '6*6=36'] Exploring Operation: 49+36=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 71, 69, 63, 52 ]
89
[ "71-69=2", "52/2=26", "63+26=89" ]
Current State: 89:[71, 69, 63, 52], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [63, 52, 2] Generated Node #2: [63, 52, 2] from Operation: 71-69=2 Current State: 89:[63, 52, 2], Operations: ['71-69=2'] Exploring Operation: 52/2=26, Resulting Numbers: [63, 26] Generated Node #3: [63, 26] from Operation: 52/2=26 Current State: 89:[63, 26], Operations: ['71-69=2', '52/2=26'] Exploring Operation: 63+26=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 17, 7, 8, 7 ]
62
[ "17-7=10", "7*10=70", "70-8=62" ]
Current State: 62:[17, 7, 8, 7], Operations: [] Exploring Operation: 17-7=10, Resulting Numbers: [8, 10] Generated Node #2: [8, 10] from Operation: 17-7=10 Current State: 62:[8, 10], Operations: ['17-7=10'] Exploring Operation: 7*10=70, Resulting Numbers: [8, 70] Generated Node #3: [8, 70] from Operation: 7*10=70 Current State: 62:[8, 70], Operations: ['17-7=10', '7*10=70'] Exploring Operation: 70-8=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 59, 4, 21, 24 ]
16
[ "59+21=80", "4*24=96", "96-80=16" ]
Current State: 16:[59, 4, 21, 24], Operations: [] Exploring Operation: 59+21=80, Resulting Numbers: [4, 24, 80] Generated Node #2: [4, 24, 80] from Operation: 59+21=80 Current State: 16:[4, 24, 80], Operations: ['59+21=80'] Exploring Operation: 4*24=96, Resulting Numbers: [80, 96] Generated Node #3: [80, 96] from Operation: 4*24=96 Current State: 16:[80, 96], Operations: ['59+21=80', '4*24=96'] Exploring Operation: 96-80=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 49, 9, 85, 42 ]
22
[ "49-42=7", "9*7=63", "85-63=22" ]
Current State: 22:[49, 9, 85, 42], Operations: [] Exploring Operation: 49-42=7, Resulting Numbers: [9, 85, 7] Generated Node #2: [9, 85, 7] from Operation: 49-42=7 Current State: 22:[9, 85, 7], Operations: ['49-42=7'] Exploring Operation: 9*7=63, Resulting Numbers: [85, 63] Generated Node #3: [85, 63] from Operation: 9*7=63 Current State: 22:[85, 63], Operations: ['49-42=7', '9*7=63'] Exploring Operation: 85-63=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 36, 82, 83, 75 ]
39
[ "75-36=39", "83-82=1", "39*1=39" ]
Current State: 39:[36, 82, 83, 75], Operations: [] Exploring Operation: 75-36=39, Resulting Numbers: [82, 83, 39] Generated Node #2: [82, 83, 39] from Operation: 75-36=39 Current State: 39:[82, 83, 39], Operations: ['75-36=39'] Exploring Operation: 83-82=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 83-82=1 Current State: 39:[39, 1], Operations: ['75-36=39', '83-82=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 23, 64, 93, 2 ]
17
[ "23*2=46", "93-64=29", "46-29=17" ]
Current State: 17:[23, 64, 93, 2], Operations: [] Exploring Operation: 23*2=46, Resulting Numbers: [64, 93, 46] Generated Node #2: [64, 93, 46] from Operation: 23*2=46 Current State: 17:[64, 93, 46], Operations: ['23*2=46'] Exploring Operation: 93-64=29, Resulting Numbers: [46, 29] Generated Node #3: [46, 29] from Operation: 93-64=29 Current State: 17:[46, 29], Operations: ['23*2=46', '93-64=29'] Exploring Operation: 46-29=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 78, 50, 48, 88 ]
93
[ "78*88=6864", "6864/48=143", "143-50=93" ]
Current State: 93:[78, 50, 48, 88], Operations: [] Exploring Operation: 78*88=6864, Resulting Numbers: [50, 48, 6864] Generated Node #2: [50, 48, 6864] from Operation: 78*88=6864 Current State: 93:[50, 48, 6864], Operations: ['78*88=6864'] Exploring Operation: 6864/48=143, Resulting Numbers: [50, 143] Generated Node #3: [50, 143] from Operation: 6864/48=143 Current State: 93:[50, 143], Operations: ['78*88=6864', '6864/48=143'] Exploring Operation: 143-50=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 64, 7, 3, 91 ]
80
[ "64-7=57", "3*57=171", "171-91=80" ]
Current State: 80:[64, 7, 3, 91], Operations: [] Exploring Operation: 64-7=57, Resulting Numbers: [3, 91, 57] Generated Node #2: [3, 91, 57] from Operation: 64-7=57 Current State: 80:[3, 91, 57], Operations: ['64-7=57'] Exploring Operation: 3*57=171, Resulting Numbers: [91, 171] Generated Node #3: [91, 171] from Operation: 3*57=171 Current State: 80:[91, 171], Operations: ['64-7=57', '3*57=171'] Exploring Operation: 171-91=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 30, 43, 29, 67 ]
35
[ "30+43=73", "67-29=38", "73-38=35" ]
Current State: 35:[30, 43, 29, 67], Operations: [] Exploring Operation: 30+43=73, Resulting Numbers: [29, 67, 73] Generated Node #2: [29, 67, 73] from Operation: 30+43=73 Current State: 35:[29, 67, 73], Operations: ['30+43=73'] Exploring Operation: 67-29=38, Resulting Numbers: [73, 38] Generated Node #3: [73, 38] from Operation: 67-29=38 Current State: 35:[73, 38], Operations: ['30+43=73', '67-29=38'] Exploring Operation: 73-38=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 40, 60, 27, 20 ]
57
[ "40*27=1080", "60+1080=1140", "1140/20=57" ]
Current State: 57:[40, 60, 27, 20], Operations: [] Exploring Operation: 40*27=1080, Resulting Numbers: [60, 20, 1080] Generated Node #2: [60, 20, 1080] from Operation: 40*27=1080 Current State: 57:[60, 20, 1080], Operations: ['40*27=1080'] Exploring Operation: 60+1080=1140, Resulting Numbers: [20, 1140] Generated Node #3: [20, 1140] from Operation: 60+1080=1140 Current State: 57:[20, 1140], Operations: ['40*27=1080', '60+1080=1140'] Exploring Operation: 1140/20=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 88, 78, 85, 52 ]
43
[ "88-78=10", "85-52=33", "10+33=43" ]
Current State: 43:[88, 78, 85, 52], Operations: [] Exploring Operation: 88-78=10, Resulting Numbers: [85, 52, 10] Generated Node #2: [85, 52, 10] from Operation: 88-78=10 Current State: 43:[85, 52, 10], Operations: ['88-78=10'] Exploring Operation: 85-52=33, Resulting Numbers: [10, 33] Generated Node #3: [10, 33] from Operation: 85-52=33 Current State: 43:[10, 33], Operations: ['88-78=10', '85-52=33'] Exploring Operation: 10+33=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 16, 67, 3, 71 ]
54
[ "67-16=51", "51/3=17", "71-17=54" ]
Current State: 54:[16, 67, 3, 71], Operations: [] Exploring Operation: 67-16=51, Resulting Numbers: [3, 71, 51] Generated Node #2: [3, 71, 51] from Operation: 67-16=51 Current State: 54:[3, 71, 51], Operations: ['67-16=51'] Exploring Operation: 51/3=17, Resulting Numbers: [71, 17] Generated Node #3: [71, 17] from Operation: 51/3=17 Current State: 54:[71, 17], Operations: ['67-16=51', '51/3=17'] Exploring Operation: 71-17=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 23, 96, 45, 53 ]
88
[ "53-45=8", "23*8=184", "184-96=88" ]
Current State: 88:[23, 96, 45, 53], Operations: [] Exploring Operation: 53-45=8, Resulting Numbers: [23, 96, 8] Generated Node #2: [23, 96, 8] from Operation: 53-45=8 Current State: 88:[23, 96, 8], Operations: ['53-45=8'] Exploring Operation: 23*8=184, Resulting Numbers: [96, 184] Generated Node #3: [96, 184] from Operation: 23*8=184 Current State: 88:[96, 184], Operations: ['53-45=8', '23*8=184'] Exploring Operation: 184-96=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 32, 99, 20, 80 ]
49
[ "20*80=1600", "1600/32=50", "99-50=49" ]
Current State: 49:[32, 99, 20, 80], Operations: [] Exploring Operation: 20*80=1600, Resulting Numbers: [32, 99, 1600] Generated Node #2: [32, 99, 1600] from Operation: 20*80=1600 Current State: 49:[32, 99, 1600], Operations: ['20*80=1600'] Exploring Operation: 1600/32=50, Resulting Numbers: [99, 50] Generated Node #3: [99, 50] from Operation: 1600/32=50 Current State: 49:[99, 50], Operations: ['20*80=1600', '1600/32=50'] Exploring Operation: 99-50=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 61, 40, 42, 75 ]
16
[ "61+40=101", "42+75=117", "117-101=16" ]
Current State: 16:[61, 40, 42, 75], Operations: [] Exploring Operation: 61+40=101, Resulting Numbers: [42, 75, 101] Generated Node #2: [42, 75, 101] from Operation: 61+40=101 Current State: 16:[42, 75, 101], Operations: ['61+40=101'] Exploring Operation: 42+75=117, Resulting Numbers: [101, 117] Generated Node #3: [101, 117] from Operation: 42+75=117 Current State: 16:[101, 117], Operations: ['61+40=101', '42+75=117'] Exploring Operation: 117-101=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 23, 27, 12, 6 ]
19
[ "23*12=276", "276/6=46", "46-27=19" ]
Current State: 19:[23, 27, 12, 6], Operations: [] Exploring Operation: 23*12=276, Resulting Numbers: [27, 6, 276] Generated Node #2: [27, 6, 276] from Operation: 23*12=276 Current State: 19:[27, 6, 276], Operations: ['23*12=276'] Exploring Operation: 276/6=46, Resulting Numbers: [27, 46] Generated Node #3: [27, 46] from Operation: 276/6=46 Current State: 19:[27, 46], Operations: ['23*12=276', '276/6=46'] Exploring Operation: 46-27=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 56, 53, 19, 56 ]
19
[ "56-56=0", "53*0=0", "19+0=19" ]
Current State: 19:[56, 53, 19, 56], Operations: [] Exploring Operation: 56-56=0, Resulting Numbers: [53, 19, 0] Generated Node #2: [53, 19, 0] from Operation: 56-56=0 Current State: 19:[53, 19, 0], Operations: ['56-56=0'] Exploring Operation: 53*0=0, Resulting Numbers: [19, 0] Generated Node #3: [19, 0] from Operation: 53*0=0 Current State: 19:[19, 0], Operations: ['56-56=0', '53*0=0'] Exploring Operation: 19+0=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 29, 28, 90, 5 ]
39
[ "29+28=57", "90/5=18", "57-18=39" ]
Current State: 39:[29, 28, 90, 5], Operations: [] Exploring Operation: 29+28=57, Resulting Numbers: [90, 5, 57] Generated Node #2: [90, 5, 57] from Operation: 29+28=57 Current State: 39:[90, 5, 57], Operations: ['29+28=57'] Exploring Operation: 90/5=18, Resulting Numbers: [57, 18] Generated Node #3: [57, 18] from Operation: 90/5=18 Current State: 39:[57, 18], Operations: ['29+28=57', '90/5=18'] Exploring Operation: 57-18=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 14, 95, 37, 14 ]
57
[ "14/14=1", "95-37=58", "58-1=57" ]
Current State: 57:[14, 95, 37, 14], Operations: [] Exploring Operation: 14/14=1, Resulting Numbers: [95, 37, 1] Generated Node #2: [95, 37, 1] from Operation: 14/14=1 Current State: 57:[95, 37, 1], Operations: ['14/14=1'] Exploring Operation: 95-37=58, Resulting Numbers: [1, 58] Generated Node #3: [1, 58] from Operation: 95-37=58 Current State: 57:[1, 58], Operations: ['14/14=1', '95-37=58'] Exploring Operation: 58-1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 76, 73, 38, 29 ]
22
[ "76/38=2", "73-29=44", "44/2=22" ]
Current State: 22:[76, 73, 38, 29], Operations: [] Exploring Operation: 76/38=2, Resulting Numbers: [73, 29, 2] Generated Node #2: [73, 29, 2] from Operation: 76/38=2 Current State: 22:[73, 29, 2], Operations: ['76/38=2'] Exploring Operation: 73-29=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 73-29=44 Current State: 22:[2, 44], Operations: ['76/38=2', '73-29=44'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 45, 9, 6, 47 ]
27
[ "47-45=2", "9*6=54", "54/2=27" ]
Current State: 27:[45, 9, 6, 47], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [9, 6, 2] Generated Node #2: [9, 6, 2] from Operation: 47-45=2 Current State: 27:[9, 6, 2], Operations: ['47-45=2'] Exploring Operation: 9*6=54, Resulting Numbers: [2, 54] Generated Node #3: [2, 54] from Operation: 9*6=54 Current State: 27:[2, 54], Operations: ['47-45=2', '9*6=54'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 30, 88, 18, 59 ]
99
[ "88-30=58", "59-18=41", "58+41=99" ]
Current State: 99:[30, 88, 18, 59], Operations: [] Exploring Operation: 88-30=58, Resulting Numbers: [18, 59, 58] Generated Node #2: [18, 59, 58] from Operation: 88-30=58 Current State: 99:[18, 59, 58], Operations: ['88-30=58'] Exploring Operation: 59-18=41, Resulting Numbers: [58, 41] Generated Node #3: [58, 41] from Operation: 59-18=41 Current State: 99:[58, 41], Operations: ['88-30=58', '59-18=41'] Exploring Operation: 58+41=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 39, 6, 33, 14 ]
75
[ "33-14=19", "6*19=114", "114-39=75" ]
Current State: 75:[39, 6, 33, 14], Operations: [] Exploring Operation: 33-14=19, Resulting Numbers: [39, 6, 19] Generated Node #2: [39, 6, 19] from Operation: 33-14=19 Current State: 75:[39, 6, 19], Operations: ['33-14=19'] Exploring Operation: 6*19=114, Resulting Numbers: [39, 114] Generated Node #3: [39, 114] from Operation: 6*19=114 Current State: 75:[39, 114], Operations: ['33-14=19', '6*19=114'] Exploring Operation: 114-39=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 57, 73, 37, 64 ]
41
[ "73-57=16", "64/16=4", "37+4=41" ]
Current State: 41:[57, 73, 37, 64], Operations: [] Exploring Operation: 73-57=16, Resulting Numbers: [37, 64, 16] Generated Node #2: [37, 64, 16] from Operation: 73-57=16 Current State: 41:[37, 64, 16], Operations: ['73-57=16'] Exploring Operation: 64/16=4, Resulting Numbers: [37, 4] Generated Node #3: [37, 4] from Operation: 64/16=4 Current State: 41:[37, 4], Operations: ['73-57=16', '64/16=4'] Exploring Operation: 37+4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 1, 55, 22, 32 ]
79
[ "55*32=1760", "1760/22=80", "80-1=79" ]
Current State: 79:[1, 55, 22, 32], Operations: [] Exploring Operation: 55*32=1760, Resulting Numbers: [1, 22, 1760] Generated Node #2: [1, 22, 1760] from Operation: 55*32=1760 Current State: 79:[1, 22, 1760], Operations: ['55*32=1760'] Exploring Operation: 1760/22=80, Resulting Numbers: [1, 80] Generated Node #3: [1, 80] from Operation: 1760/22=80 Current State: 79:[1, 80], Operations: ['55*32=1760', '1760/22=80'] Exploring Operation: 80-1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 61, 90, 56, 75 ]
94
[ "75-61=14", "56/14=4", "90+4=94" ]
Current State: 94:[61, 90, 56, 75], Operations: [] Exploring Operation: 75-61=14, Resulting Numbers: [90, 56, 14] Generated Node #2: [90, 56, 14] from Operation: 75-61=14 Current State: 94:[90, 56, 14], Operations: ['75-61=14'] Exploring Operation: 56/14=4, Resulting Numbers: [90, 4] Generated Node #3: [90, 4] from Operation: 56/14=4 Current State: 94:[90, 4], Operations: ['75-61=14', '56/14=4'] Exploring Operation: 90+4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 29, 86, 43, 28 ]
42
[ "86-29=57", "43-28=15", "57-15=42" ]
Current State: 42:[29, 86, 43, 28], Operations: [] Exploring Operation: 86-29=57, Resulting Numbers: [43, 28, 57] Generated Node #2: [43, 28, 57] from Operation: 86-29=57 Current State: 42:[43, 28, 57], Operations: ['86-29=57'] Exploring Operation: 43-28=15, Resulting Numbers: [57, 15] Generated Node #3: [57, 15] from Operation: 43-28=15 Current State: 42:[57, 15], Operations: ['86-29=57', '43-28=15'] Exploring Operation: 57-15=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 79, 74, 22, 91 ]
64
[ "79*74=5846", "5846-22=5824", "5824/91=64" ]
Current State: 64:[79, 74, 22, 91], Operations: [] Exploring Operation: 79*74=5846, Resulting Numbers: [22, 91, 5846] Generated Node #2: [22, 91, 5846] from Operation: 79*74=5846 Current State: 64:[22, 91, 5846], Operations: ['79*74=5846'] Exploring Operation: 5846-22=5824, Resulting Numbers: [91, 5824] Generated Node #3: [91, 5824] from Operation: 5846-22=5824 Current State: 64:[91, 5824], Operations: ['79*74=5846', '5846-22=5824'] Exploring Operation: 5824/91=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 96, 16, 66, 15 ]
57
[ "96/16=6", "66-15=51", "6+51=57" ]
Current State: 57:[96, 16, 66, 15], Operations: [] Exploring Operation: 96/16=6, Resulting Numbers: [66, 15, 6] Generated Node #2: [66, 15, 6] from Operation: 96/16=6 Current State: 57:[66, 15, 6], Operations: ['96/16=6'] Exploring Operation: 66-15=51, Resulting Numbers: [6, 51] Generated Node #3: [6, 51] from Operation: 66-15=51 Current State: 57:[6, 51], Operations: ['96/16=6', '66-15=51'] Exploring Operation: 6+51=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 50, 77, 27, 97 ]
98
[ "77-50=27", "27/27=1", "97+1=98" ]
Current State: 98:[50, 77, 27, 97], Operations: [] Exploring Operation: 77-50=27, Resulting Numbers: [27, 97, 27] Generated Node #2: [27, 97, 27] from Operation: 77-50=27 Current State: 98:[27, 97, 27], Operations: ['77-50=27'] Exploring Operation: 27/27=1, Resulting Numbers: [97, 1] Generated Node #3: [97, 1] from Operation: 27/27=1 Current State: 98:[97, 1], Operations: ['77-50=27', '27/27=1'] Exploring Operation: 97+1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 22, 47, 59, 11 ]
71
[ "22*59=1298", "1298/11=118", "118-47=71" ]
Current State: 71:[22, 47, 59, 11], Operations: [] Exploring Operation: 22*59=1298, Resulting Numbers: [47, 11, 1298] Generated Node #2: [47, 11, 1298] from Operation: 22*59=1298 Current State: 71:[47, 11, 1298], Operations: ['22*59=1298'] Exploring Operation: 1298/11=118, Resulting Numbers: [47, 118] Generated Node #3: [47, 118] from Operation: 1298/11=118 Current State: 71:[47, 118], Operations: ['22*59=1298', '1298/11=118'] Exploring Operation: 118-47=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 91, 53, 45, 32 ]
39
[ "91-53=38", "45+32=77", "77-38=39" ]
Current State: 39:[91, 53, 45, 32], Operations: [] Exploring Operation: 91-53=38, Resulting Numbers: [45, 32, 38] Generated Node #2: [45, 32, 38] from Operation: 91-53=38 Current State: 39:[45, 32, 38], Operations: ['91-53=38'] Exploring Operation: 45+32=77, Resulting Numbers: [38, 77] Generated Node #3: [38, 77] from Operation: 45+32=77 Current State: 39:[38, 77], Operations: ['91-53=38', '45+32=77'] Exploring Operation: 77-38=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 42, 33, 44, 71 ]
19
[ "44-42=2", "71-33=38", "38/2=19" ]
Current State: 19:[42, 33, 44, 71], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [33, 71, 2] Generated Node #2: [33, 71, 2] from Operation: 44-42=2 Current State: 19:[33, 71, 2], Operations: ['44-42=2'] Exploring Operation: 71-33=38, Resulting Numbers: [2, 38] Generated Node #3: [2, 38] from Operation: 71-33=38 Current State: 19:[2, 38], Operations: ['44-42=2', '71-33=38'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 47, 86, 4, 62 ]
53
[ "86-62=24", "24/4=6", "47+6=53" ]
Current State: 53:[47, 86, 4, 62], Operations: [] Exploring Operation: 86-62=24, Resulting Numbers: [47, 4, 24] Generated Node #2: [47, 4, 24] from Operation: 86-62=24 Current State: 53:[47, 4, 24], Operations: ['86-62=24'] Exploring Operation: 24/4=6, Resulting Numbers: [47, 6] Generated Node #3: [47, 6] from Operation: 24/4=6 Current State: 53:[47, 6], Operations: ['86-62=24', '24/4=6'] Exploring Operation: 47+6=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 99, 45, 8, 84 ]
38
[ "99-45=54", "8+84=92", "92-54=38" ]
Current State: 38:[99, 45, 8, 84], Operations: [] Exploring Operation: 99-45=54, Resulting Numbers: [8, 84, 54] Generated Node #2: [8, 84, 54] from Operation: 99-45=54 Current State: 38:[8, 84, 54], Operations: ['99-45=54'] Exploring Operation: 8+84=92, Resulting Numbers: [54, 92] Generated Node #3: [54, 92] from Operation: 8+84=92 Current State: 38:[54, 92], Operations: ['99-45=54', '8+84=92'] Exploring Operation: 92-54=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 51, 14, 4, 3 ]
25
[ "51-14=37", "4*3=12", "37-12=25" ]
Current State: 25:[51, 14, 4, 3], Operations: [] Exploring Operation: 51-14=37, Resulting Numbers: [4, 3, 37] Generated Node #2: [4, 3, 37] from Operation: 51-14=37 Current State: 25:[4, 3, 37], Operations: ['51-14=37'] Exploring Operation: 4*3=12, Resulting Numbers: [37, 12] Generated Node #3: [37, 12] from Operation: 4*3=12 Current State: 25:[37, 12], Operations: ['51-14=37', '4*3=12'] Exploring Operation: 37-12=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 58, 4, 22, 70 ]
70
[ "70-58=12", "4*12=48", "22+48=70" ]
Current State: 70:[58, 4, 22, 70], Operations: [] Exploring Operation: 70-58=12, Resulting Numbers: [4, 22, 12] Generated Node #2: [4, 22, 12] from Operation: 70-58=12 Current State: 70:[4, 22, 12], Operations: ['70-58=12'] Exploring Operation: 4*12=48, Resulting Numbers: [22, 48] Generated Node #3: [22, 48] from Operation: 4*12=48 Current State: 70:[22, 48], Operations: ['70-58=12', '4*12=48'] Exploring Operation: 22+48=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 34, 21, 9, 12 ]
58
[ "34+21=55", "12-9=3", "55+3=58" ]
Current State: 58:[34, 21, 9, 12], Operations: [] Exploring Operation: 34+21=55, Resulting Numbers: [9, 12, 55] Generated Node #2: [9, 12, 55] from Operation: 34+21=55 Current State: 58:[9, 12, 55], Operations: ['34+21=55'] Exploring Operation: 12-9=3, Resulting Numbers: [55, 3] Generated Node #3: [55, 3] from Operation: 12-9=3 Current State: 58:[55, 3], Operations: ['34+21=55', '12-9=3'] Exploring Operation: 55+3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 88, 53, 55, 82 ]
62
[ "88-53=35", "82-55=27", "35+27=62" ]
Current State: 62:[88, 53, 55, 82], Operations: [] Exploring Operation: 88-53=35, Resulting Numbers: [55, 82, 35] Generated Node #2: [55, 82, 35] from Operation: 88-53=35 Current State: 62:[55, 82, 35], Operations: ['88-53=35'] Exploring Operation: 82-55=27, Resulting Numbers: [35, 27] Generated Node #3: [35, 27] from Operation: 82-55=27 Current State: 62:[35, 27], Operations: ['88-53=35', '82-55=27'] Exploring Operation: 35+27=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 12, 2, 69, 66 ]
42
[ "12+2=14", "69-66=3", "14*3=42" ]
Current State: 42:[12, 2, 69, 66], Operations: [] Exploring Operation: 12+2=14, Resulting Numbers: [69, 66, 14] Generated Node #2: [69, 66, 14] from Operation: 12+2=14 Current State: 42:[69, 66, 14], Operations: ['12+2=14'] Exploring Operation: 69-66=3, Resulting Numbers: [14, 3] Generated Node #3: [14, 3] from Operation: 69-66=3 Current State: 42:[14, 3], Operations: ['12+2=14', '69-66=3'] Exploring Operation: 14*3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 47, 17, 90, 81 ]
73
[ "47+17=64", "90-81=9", "64+9=73" ]
Current State: 73:[47, 17, 90, 81], Operations: [] Exploring Operation: 47+17=64, Resulting Numbers: [90, 81, 64] Generated Node #2: [90, 81, 64] from Operation: 47+17=64 Current State: 73:[90, 81, 64], Operations: ['47+17=64'] Exploring Operation: 90-81=9, Resulting Numbers: [64, 9] Generated Node #3: [64, 9] from Operation: 90-81=9 Current State: 73:[64, 9], Operations: ['47+17=64', '90-81=9'] Exploring Operation: 64+9=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 14, 10, 25, 65 ]
64
[ "14+10=24", "65-25=40", "24+40=64" ]
Current State: 64:[14, 10, 25, 65], Operations: [] Exploring Operation: 14+10=24, Resulting Numbers: [25, 65, 24] Generated Node #2: [25, 65, 24] from Operation: 14+10=24 Current State: 64:[25, 65, 24], Operations: ['14+10=24'] Exploring Operation: 65-25=40, Resulting Numbers: [24, 40] Generated Node #3: [24, 40] from Operation: 65-25=40 Current State: 64:[24, 40], Operations: ['14+10=24', '65-25=40'] Exploring Operation: 24+40=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 64, 49, 16, 94 ]
63
[ "64-49=15", "94-16=78", "78-15=63" ]
Current State: 63:[64, 49, 16, 94], Operations: [] Exploring Operation: 64-49=15, Resulting Numbers: [16, 94, 15] Generated Node #2: [16, 94, 15] from Operation: 64-49=15 Current State: 63:[16, 94, 15], Operations: ['64-49=15'] Exploring Operation: 94-16=78, Resulting Numbers: [15, 78] Generated Node #3: [15, 78] from Operation: 94-16=78 Current State: 63:[15, 78], Operations: ['64-49=15', '94-16=78'] Exploring Operation: 78-15=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 30, 30, 24, 90 ]
96
[ "30+90=120", "120/30=4", "24*4=96" ]
Current State: 96:[30, 30, 24, 90], Operations: [] Exploring Operation: 30+90=120, Resulting Numbers: [24, 120] Generated Node #2: [24, 120] from Operation: 30+90=120 Current State: 96:[24, 120], Operations: ['30+90=120'] Exploring Operation: 120/30=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 120/30=4 Current State: 96:[24, 4], Operations: ['30+90=120', '120/30=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 20, 84, 1, 2 ]
21
[ "20+1=21", "84/2=42", "42-21=21" ]
Current State: 21:[20, 84, 1, 2], Operations: [] Exploring Operation: 20+1=21, Resulting Numbers: [84, 2, 21] Generated Node #2: [84, 2, 21] from Operation: 20+1=21 Current State: 21:[84, 2, 21], Operations: ['20+1=21'] Exploring Operation: 84/2=42, Resulting Numbers: [21, 42] Generated Node #3: [21, 42] from Operation: 84/2=42 Current State: 21:[21, 42], Operations: ['20+1=21', '84/2=42'] Exploring Operation: 42-21=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 9, 84, 6, 15 ]
79
[ "9-6=3", "15/3=5", "84-5=79" ]
Current State: 79:[9, 84, 6, 15], Operations: [] Exploring Operation: 9-6=3, Resulting Numbers: [84, 15, 3] Generated Node #2: [84, 15, 3] from Operation: 9-6=3 Current State: 79:[84, 15, 3], Operations: ['9-6=3'] Exploring Operation: 15/3=5, Resulting Numbers: [84, 5] Generated Node #3: [84, 5] from Operation: 15/3=5 Current State: 79:[84, 5], Operations: ['9-6=3', '15/3=5'] Exploring Operation: 84-5=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 11, 12, 46, 20 ]
43
[ "11+12=23", "46+20=66", "66-23=43" ]
Current State: 43:[11, 12, 46, 20], Operations: [] Exploring Operation: 11+12=23, Resulting Numbers: [46, 20, 23] Generated Node #2: [46, 20, 23] from Operation: 11+12=23 Current State: 43:[46, 20, 23], Operations: ['11+12=23'] Exploring Operation: 46+20=66, Resulting Numbers: [23, 66] Generated Node #3: [23, 66] from Operation: 46+20=66 Current State: 43:[23, 66], Operations: ['11+12=23', '46+20=66'] Exploring Operation: 66-23=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 68, 83, 82, 2 ]
29
[ "68*2=136", "83+82=165", "165-136=29" ]
Current State: 29:[68, 83, 82, 2], Operations: [] Exploring Operation: 68*2=136, Resulting Numbers: [83, 82, 136] Generated Node #2: [83, 82, 136] from Operation: 68*2=136 Current State: 29:[83, 82, 136], Operations: ['68*2=136'] Exploring Operation: 83+82=165, Resulting Numbers: [136, 165] Generated Node #3: [136, 165] from Operation: 83+82=165 Current State: 29:[136, 165], Operations: ['68*2=136', '83+82=165'] Exploring Operation: 165-136=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 2, 95, 92, 4 ]
36
[ "92/4=23", "95-23=72", "72/2=36" ]
Current State: 36:[2, 95, 92, 4], Operations: [] Exploring Operation: 92/4=23, Resulting Numbers: [2, 95, 23] Generated Node #2: [2, 95, 23] from Operation: 92/4=23 Current State: 36:[2, 95, 23], Operations: ['92/4=23'] Exploring Operation: 95-23=72, Resulting Numbers: [2, 72] Generated Node #3: [2, 72] from Operation: 95-23=72 Current State: 36:[2, 72], Operations: ['92/4=23', '95-23=72'] Exploring Operation: 72/2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 50, 12, 55, 34 ]
51
[ "50-12=38", "55+34=89", "89-38=51" ]
Current State: 51:[50, 12, 55, 34], Operations: [] Exploring Operation: 50-12=38, Resulting Numbers: [55, 34, 38] Generated Node #2: [55, 34, 38] from Operation: 50-12=38 Current State: 51:[55, 34, 38], Operations: ['50-12=38'] Exploring Operation: 55+34=89, Resulting Numbers: [38, 89] Generated Node #3: [38, 89] from Operation: 55+34=89 Current State: 51:[38, 89], Operations: ['50-12=38', '55+34=89'] Exploring Operation: 89-38=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 14, 29, 20, 8 ]
86
[ "29-20=9", "8*9=72", "14+72=86" ]
Current State: 86:[14, 29, 20, 8], Operations: [] Exploring Operation: 29-20=9, Resulting Numbers: [14, 8, 9] Generated Node #2: [14, 8, 9] from Operation: 29-20=9 Current State: 86:[14, 8, 9], Operations: ['29-20=9'] Exploring Operation: 8*9=72, Resulting Numbers: [14, 72] Generated Node #3: [14, 72] from Operation: 8*9=72 Current State: 86:[14, 72], Operations: ['29-20=9', '8*9=72'] Exploring Operation: 14+72=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 14, 80, 23, 34 ]
16
[ "80-34=46", "46/23=2", "14+2=16" ]
Current State: 16:[14, 80, 23, 34], Operations: [] Exploring Operation: 80-34=46, Resulting Numbers: [14, 23, 46] Generated Node #2: [14, 23, 46] from Operation: 80-34=46 Current State: 16:[14, 23, 46], Operations: ['80-34=46'] Exploring Operation: 46/23=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 46/23=2 Current State: 16:[14, 2], Operations: ['80-34=46', '46/23=2'] Exploring Operation: 14+2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 6, 67, 60, 97 ]
98
[ "67-6=61", "97-60=37", "61+37=98" ]
Current State: 98:[6, 67, 60, 97], Operations: [] Exploring Operation: 67-6=61, Resulting Numbers: [60, 97, 61] Generated Node #2: [60, 97, 61] from Operation: 67-6=61 Current State: 98:[60, 97, 61], Operations: ['67-6=61'] Exploring Operation: 97-60=37, Resulting Numbers: [61, 37] Generated Node #3: [61, 37] from Operation: 97-60=37 Current State: 98:[61, 37], Operations: ['67-6=61', '97-60=37'] Exploring Operation: 61+37=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 6, 59, 76, 3 ]
35
[ "6*3=18", "76-59=17", "18+17=35" ]
Current State: 35:[6, 59, 76, 3], Operations: [] Exploring Operation: 6*3=18, Resulting Numbers: [59, 76, 18] Generated Node #2: [59, 76, 18] from Operation: 6*3=18 Current State: 35:[59, 76, 18], Operations: ['6*3=18'] Exploring Operation: 76-59=17, Resulting Numbers: [18, 17] Generated Node #3: [18, 17] from Operation: 76-59=17 Current State: 35:[18, 17], Operations: ['6*3=18', '76-59=17'] Exploring Operation: 18+17=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 71, 99, 49, 67 ]
37
[ "71-67=4", "99+49=148", "148/4=37" ]
Current State: 37:[71, 99, 49, 67], Operations: [] Exploring Operation: 71-67=4, Resulting Numbers: [99, 49, 4] Generated Node #2: [99, 49, 4] from Operation: 71-67=4 Current State: 37:[99, 49, 4], Operations: ['71-67=4'] Exploring Operation: 99+49=148, Resulting Numbers: [4, 148] Generated Node #3: [4, 148] from Operation: 99+49=148 Current State: 37:[4, 148], Operations: ['71-67=4', '99+49=148'] Exploring Operation: 148/4=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 1, 63, 5, 41 ]
88
[ "5-1=4", "63-41=22", "4*22=88" ]
Current State: 88:[1, 63, 5, 41], Operations: [] Exploring Operation: 5-1=4, Resulting Numbers: [63, 41, 4] Generated Node #2: [63, 41, 4] from Operation: 5-1=4 Current State: 88:[63, 41, 4], Operations: ['5-1=4'] Exploring Operation: 63-41=22, Resulting Numbers: [4, 22] Generated Node #3: [4, 22] from Operation: 63-41=22 Current State: 88:[4, 22], Operations: ['5-1=4', '63-41=22'] Exploring Operation: 4*22=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 99, 16, 89, 86 ]
86
[ "99-16=83", "89-86=3", "83+3=86" ]
Current State: 86:[99, 16, 89, 86], Operations: [] Exploring Operation: 99-16=83, Resulting Numbers: [89, 86, 83] Generated Node #2: [89, 86, 83] from Operation: 99-16=83 Current State: 86:[89, 86, 83], Operations: ['99-16=83'] Exploring Operation: 89-86=3, Resulting Numbers: [83, 3] Generated Node #3: [83, 3] from Operation: 89-86=3 Current State: 86:[83, 3], Operations: ['99-16=83', '89-86=3'] Exploring Operation: 83+3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 64, 62, 75, 9 ]
53
[ "75-62=13", "9*13=117", "117-64=53" ]
Current State: 53:[64, 62, 75, 9], Operations: [] Exploring Operation: 75-62=13, Resulting Numbers: [64, 9, 13] Generated Node #2: [64, 9, 13] from Operation: 75-62=13 Current State: 53:[64, 9, 13], Operations: ['75-62=13'] Exploring Operation: 9*13=117, Resulting Numbers: [64, 117] Generated Node #3: [64, 117] from Operation: 9*13=117 Current State: 53:[64, 117], Operations: ['75-62=13', '9*13=117'] Exploring Operation: 117-64=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 2, 44, 65, 35 ]
54
[ "2+44=46", "65+35=100", "100-46=54" ]
Current State: 54:[2, 44, 65, 35], Operations: [] Exploring Operation: 2+44=46, Resulting Numbers: [65, 35, 46] Generated Node #2: [65, 35, 46] from Operation: 2+44=46 Current State: 54:[65, 35, 46], Operations: ['2+44=46'] Exploring Operation: 65+35=100, Resulting Numbers: [46, 100] Generated Node #3: [46, 100] from Operation: 65+35=100 Current State: 54:[46, 100], Operations: ['2+44=46', '65+35=100'] Exploring Operation: 100-46=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 40, 4, 54, 7 ]
91
[ "40+4=44", "54-7=47", "44+47=91" ]
Current State: 91:[40, 4, 54, 7], Operations: [] Exploring Operation: 40+4=44, Resulting Numbers: [54, 7, 44] Generated Node #2: [54, 7, 44] from Operation: 40+4=44 Current State: 91:[54, 7, 44], Operations: ['40+4=44'] Exploring Operation: 54-7=47, Resulting Numbers: [44, 47] Generated Node #3: [44, 47] from Operation: 54-7=47 Current State: 91:[44, 47], Operations: ['40+4=44', '54-7=47'] Exploring Operation: 44+47=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 48, 44, 46, 71 ]
98
[ "48-46=2", "71*2=142", "142-44=98" ]
Current State: 98:[48, 44, 46, 71], Operations: [] Exploring Operation: 48-46=2, Resulting Numbers: [44, 71, 2] Generated Node #2: [44, 71, 2] from Operation: 48-46=2 Current State: 98:[44, 71, 2], Operations: ['48-46=2'] Exploring Operation: 71*2=142, Resulting Numbers: [44, 142] Generated Node #3: [44, 142] from Operation: 71*2=142 Current State: 98:[44, 142], Operations: ['48-46=2', '71*2=142'] Exploring Operation: 142-44=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 42, 38, 6, 2 ]
55
[ "42-6=36", "38/2=19", "36+19=55" ]
Current State: 55:[42, 38, 6, 2], Operations: [] Exploring Operation: 42-6=36, Resulting Numbers: [38, 2, 36] Generated Node #2: [38, 2, 36] from Operation: 42-6=36 Current State: 55:[38, 2, 36], Operations: ['42-6=36'] Exploring Operation: 38/2=19, Resulting Numbers: [36, 19] Generated Node #3: [36, 19] from Operation: 38/2=19 Current State: 55:[36, 19], Operations: ['42-6=36', '38/2=19'] Exploring Operation: 36+19=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 11, 84, 17, 8 ]
24
[ "11+17=28", "84*8=672", "672/28=24" ]
Current State: 24:[11, 84, 17, 8], Operations: [] Exploring Operation: 11+17=28, Resulting Numbers: [84, 8, 28] Generated Node #2: [84, 8, 28] from Operation: 11+17=28 Current State: 24:[84, 8, 28], Operations: ['11+17=28'] Exploring Operation: 84*8=672, Resulting Numbers: [28, 672] Generated Node #3: [28, 672] from Operation: 84*8=672 Current State: 24:[28, 672], Operations: ['11+17=28', '84*8=672'] Exploring Operation: 672/28=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 46, 21, 54, 74 ]
87
[ "46+21=67", "74-54=20", "67+20=87" ]
Current State: 87:[46, 21, 54, 74], Operations: [] Exploring Operation: 46+21=67, Resulting Numbers: [54, 74, 67] Generated Node #2: [54, 74, 67] from Operation: 46+21=67 Current State: 87:[54, 74, 67], Operations: ['46+21=67'] Exploring Operation: 74-54=20, Resulting Numbers: [67, 20] Generated Node #3: [67, 20] from Operation: 74-54=20 Current State: 87:[67, 20], Operations: ['46+21=67', '74-54=20'] Exploring Operation: 67+20=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 88, 54, 21, 90 ]
48
[ "90-88=2", "54/2=27", "21+27=48" ]
Current State: 48:[88, 54, 21, 90], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [54, 21, 2] Generated Node #2: [54, 21, 2] from Operation: 90-88=2 Current State: 48:[54, 21, 2], Operations: ['90-88=2'] Exploring Operation: 54/2=27, Resulting Numbers: [21, 27] Generated Node #3: [21, 27] from Operation: 54/2=27 Current State: 48:[21, 27], Operations: ['90-88=2', '54/2=27'] Exploring Operation: 21+27=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 87, 14, 92, 15 ]
61
[ "92-87=5", "15*5=75", "75-14=61" ]
Current State: 61:[87, 14, 92, 15], Operations: [] Exploring Operation: 92-87=5, Resulting Numbers: [14, 15, 5] Generated Node #2: [14, 15, 5] from Operation: 92-87=5 Current State: 61:[14, 15, 5], Operations: ['92-87=5'] Exploring Operation: 15*5=75, Resulting Numbers: [14, 75] Generated Node #3: [14, 75] from Operation: 15*5=75 Current State: 61:[14, 75], Operations: ['92-87=5', '15*5=75'] Exploring Operation: 75-14=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 23, 11, 8, 13 ]
38
[ "13-11=2", "23*2=46", "46-8=38" ]
Current State: 38:[23, 11, 8, 13], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [23, 8, 2] Generated Node #2: [23, 8, 2] from Operation: 13-11=2 Current State: 38:[23, 8, 2], Operations: ['13-11=2'] Exploring Operation: 23*2=46, Resulting Numbers: [8, 46] Generated Node #3: [8, 46] from Operation: 23*2=46 Current State: 38:[8, 46], Operations: ['13-11=2', '23*2=46'] Exploring Operation: 46-8=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 69, 70, 40, 80 ]
39
[ "70-69=1", "80-40=40", "40-1=39" ]
Current State: 39:[69, 70, 40, 80], Operations: [] Exploring Operation: 70-69=1, Resulting Numbers: [40, 80, 1] Generated Node #2: [40, 80, 1] from Operation: 70-69=1 Current State: 39:[40, 80, 1], Operations: ['70-69=1'] Exploring Operation: 80-40=40, Resulting Numbers: [1, 40] Generated Node #3: [1, 40] from Operation: 80-40=40 Current State: 39:[1, 40], Operations: ['70-69=1', '80-40=40'] Exploring Operation: 40-1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 6, 3, 76, 8 ]
54
[ "6*76=456", "456/8=57", "57-3=54" ]
Current State: 54:[6, 3, 76, 8], Operations: [] Exploring Operation: 6*76=456, Resulting Numbers: [3, 8, 456] Generated Node #2: [3, 8, 456] from Operation: 6*76=456 Current State: 54:[3, 8, 456], Operations: ['6*76=456'] Exploring Operation: 456/8=57, Resulting Numbers: [3, 57] Generated Node #3: [3, 57] from Operation: 456/8=57 Current State: 54:[3, 57], Operations: ['6*76=456', '456/8=57'] Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 50, 51, 99, 78 ]
81
[ "51+99=150", "150/50=3", "78+3=81" ]
Current State: 81:[50, 51, 99, 78], Operations: [] Exploring Operation: 51+99=150, Resulting Numbers: [50, 78, 150] Generated Node #2: [50, 78, 150] from Operation: 51+99=150 Current State: 81:[50, 78, 150], Operations: ['51+99=150'] Exploring Operation: 150/50=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 150/50=3 Current State: 81:[78, 3], Operations: ['51+99=150', '150/50=3'] Exploring Operation: 78+3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 40, 91, 26, 6 ]
31
[ "91-40=51", "26-6=20", "51-20=31" ]
Current State: 31:[40, 91, 26, 6], Operations: [] Exploring Operation: 91-40=51, Resulting Numbers: [26, 6, 51] Generated Node #2: [26, 6, 51] from Operation: 91-40=51 Current State: 31:[26, 6, 51], Operations: ['91-40=51'] Exploring Operation: 26-6=20, Resulting Numbers: [51, 20] Generated Node #3: [51, 20] from Operation: 26-6=20 Current State: 31:[51, 20], Operations: ['91-40=51', '26-6=20'] Exploring Operation: 51-20=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 98, 16, 94, 9 ]
61
[ "98*9=882", "94+882=976", "976/16=61" ]
Current State: 61:[98, 16, 94, 9], Operations: [] Exploring Operation: 98*9=882, Resulting Numbers: [16, 94, 882] Generated Node #2: [16, 94, 882] from Operation: 98*9=882 Current State: 61:[16, 94, 882], Operations: ['98*9=882'] Exploring Operation: 94+882=976, Resulting Numbers: [16, 976] Generated Node #3: [16, 976] from Operation: 94+882=976 Current State: 61:[16, 976], Operations: ['98*9=882', '94+882=976'] Exploring Operation: 976/16=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 35, 51, 19, 7 ]
42
[ "51-35=16", "19+7=26", "16+26=42" ]
Current State: 42:[35, 51, 19, 7], Operations: [] Exploring Operation: 51-35=16, Resulting Numbers: [19, 7, 16] Generated Node #2: [19, 7, 16] from Operation: 51-35=16 Current State: 42:[19, 7, 16], Operations: ['51-35=16'] Exploring Operation: 19+7=26, Resulting Numbers: [16, 26] Generated Node #3: [16, 26] from Operation: 19+7=26 Current State: 42:[16, 26], Operations: ['51-35=16', '19+7=26'] Exploring Operation: 16+26=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 80, 71, 87, 13 ]
91
[ "80-71=9", "87+13=100", "100-9=91" ]
Current State: 91:[80, 71, 87, 13], Operations: [] Exploring Operation: 80-71=9, Resulting Numbers: [87, 13, 9] Generated Node #2: [87, 13, 9] from Operation: 80-71=9 Current State: 91:[87, 13, 9], Operations: ['80-71=9'] Exploring Operation: 87+13=100, Resulting Numbers: [9, 100] Generated Node #3: [9, 100] from Operation: 87+13=100 Current State: 91:[9, 100], Operations: ['80-71=9', '87+13=100'] Exploring Operation: 100-9=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 59, 62, 9, 11 ]
42
[ "62-59=3", "11*3=33", "9+33=42" ]
Current State: 42:[59, 62, 9, 11], Operations: [] Exploring Operation: 62-59=3, Resulting Numbers: [9, 11, 3] Generated Node #2: [9, 11, 3] from Operation: 62-59=3 Current State: 42:[9, 11, 3], Operations: ['62-59=3'] Exploring Operation: 11*3=33, Resulting Numbers: [9, 33] Generated Node #3: [9, 33] from Operation: 11*3=33 Current State: 42:[9, 33], Operations: ['62-59=3', '11*3=33'] Exploring Operation: 9+33=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 50, 78, 2, 58 ]
90
[ "78-58=20", "2*20=40", "50+40=90" ]
Current State: 90:[50, 78, 2, 58], Operations: [] Exploring Operation: 78-58=20, Resulting Numbers: [50, 2, 20] Generated Node #2: [50, 2, 20] from Operation: 78-58=20 Current State: 90:[50, 2, 20], Operations: ['78-58=20'] Exploring Operation: 2*20=40, Resulting Numbers: [50, 40] Generated Node #3: [50, 40] from Operation: 2*20=40 Current State: 90:[50, 40], Operations: ['78-58=20', '2*20=40'] Exploring Operation: 50+40=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 10, 3, 81, 60 ]
93
[ "10+81=91", "91-60=31", "3*31=93" ]
Current State: 93:[10, 3, 81, 60], Operations: [] Exploring Operation: 10+81=91, Resulting Numbers: [3, 60, 91] Generated Node #2: [3, 60, 91] from Operation: 10+81=91 Current State: 93:[3, 60, 91], Operations: ['10+81=91'] Exploring Operation: 91-60=31, Resulting Numbers: [3, 31] Generated Node #3: [3, 31] from Operation: 91-60=31 Current State: 93:[3, 31], Operations: ['10+81=91', '91-60=31'] Exploring Operation: 3*31=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 74, 35, 58, 29 ]
37
[ "74-35=39", "58/29=2", "39-2=37" ]
Current State: 37:[74, 35, 58, 29], Operations: [] Exploring Operation: 74-35=39, Resulting Numbers: [58, 29, 39] Generated Node #2: [58, 29, 39] from Operation: 74-35=39 Current State: 37:[58, 29, 39], Operations: ['74-35=39'] Exploring Operation: 58/29=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 58/29=2 Current State: 37:[39, 2], Operations: ['74-35=39', '58/29=2'] Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 26, 86, 31, 81 ]
25
[ "31-26=5", "86-81=5", "5*5=25" ]
Current State: 25:[26, 86, 31, 81], Operations: [] Exploring Operation: 31-26=5, Resulting Numbers: [86, 81, 5] Generated Node #2: [86, 81, 5] from Operation: 31-26=5 Current State: 25:[86, 81, 5], Operations: ['31-26=5'] Exploring Operation: 86-81=5, Resulting Numbers: [5, 5] Generated Node #3: [5, 5] from Operation: 86-81=5 Current State: 25:[5, 5], Operations: ['31-26=5', '86-81=5'] Exploring Operation: 5*5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 2, 47, 30, 26 ]
25
[ "2*26=52", "47+30=77", "77-52=25" ]
Current State: 25:[2, 47, 30, 26], Operations: [] Exploring Operation: 2*26=52, Resulting Numbers: [47, 30, 52] Generated Node #2: [47, 30, 52] from Operation: 2*26=52 Current State: 25:[47, 30, 52], Operations: ['2*26=52'] Exploring Operation: 47+30=77, Resulting Numbers: [52, 77] Generated Node #3: [52, 77] from Operation: 47+30=77 Current State: 25:[52, 77], Operations: ['2*26=52', '47+30=77'] Exploring Operation: 77-52=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 4, 41, 42, 48 ]
52
[ "4+48=52", "42-41=1", "52*1=52" ]
Current State: 52:[4, 41, 42, 48], Operations: [] Exploring Operation: 4+48=52, Resulting Numbers: [41, 42, 52] Generated Node #2: [41, 42, 52] from Operation: 4+48=52 Current State: 52:[41, 42, 52], Operations: ['4+48=52'] Exploring Operation: 42-41=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 42-41=1 Current State: 52:[52, 1], Operations: ['4+48=52', '42-41=1'] Exploring Operation: 52*1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 69, 12, 80, 83 ]
11
[ "83-80=3", "69/3=23", "23-12=11" ]
Current State: 11:[69, 12, 80, 83], Operations: [] Exploring Operation: 83-80=3, Resulting Numbers: [69, 12, 3] Generated Node #2: [69, 12, 3] from Operation: 83-80=3 Current State: 11:[69, 12, 3], Operations: ['83-80=3'] Exploring Operation: 69/3=23, Resulting Numbers: [12, 23] Generated Node #3: [12, 23] from Operation: 69/3=23 Current State: 11:[12, 23], Operations: ['83-80=3', '69/3=23'] Exploring Operation: 23-12=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4