Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 20, 4, 7, 37 ]
71
[ "20+7=27", "4*27=108", "108-37=71" ]
Current State: 71:[20, 4, 7, 37], Operations: [] Exploring Operation: 20+7=27, Resulting Numbers: [4, 37, 27] Generated Node #2: [4, 37, 27] from Operation: 20+7=27 Current State: 71:[4, 37, 27], Operations: ['20+7=27'] Exploring Operation: 4*27=108, Resulting Numbers: [37, 108] Generated Node #3: [37, 108] from Operation: 4*27=108 Current State: 71:[37, 108], Operations: ['20+7=27', '4*27=108'] Exploring Operation: 108-37=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 78, 73, 2, 56 ]
90
[ "78/2=39", "73+56=129", "129-39=90" ]
Current State: 90:[78, 73, 2, 56], Operations: [] Exploring Operation: 78/2=39, Resulting Numbers: [73, 56, 39] Generated Node #2: [73, 56, 39] from Operation: 78/2=39 Current State: 90:[73, 56, 39], Operations: ['78/2=39'] Exploring Operation: 73+56=129, Resulting Numbers: [39, 129] Generated Node #3: [39, 129] from Operation: 73+56=129 Current State: 90:[39, 129], Operations: ['78/2=39', '73+56=129'] Exploring Operation: 129-39=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 61, 16, 52, 99 ]
92
[ "61-16=45", "99-52=47", "45+47=92" ]
Current State: 92:[61, 16, 52, 99], Operations: [] Exploring Operation: 61-16=45, Resulting Numbers: [52, 99, 45] Generated Node #2: [52, 99, 45] from Operation: 61-16=45 Current State: 92:[52, 99, 45], Operations: ['61-16=45'] Exploring Operation: 99-52=47, Resulting Numbers: [45, 47] Generated Node #3: [45, 47] from Operation: 99-52=47 Current State: 92:[45, 47], Operations: ['61-16=45', '99-52=47'] Exploring Operation: 45+47=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 2, 46, 22, 90 ]
23
[ "90/2=45", "46+22=68", "68-45=23" ]
Current State: 23:[2, 46, 22, 90], Operations: [] Exploring Operation: 90/2=45, Resulting Numbers: [46, 22, 45] Generated Node #2: [46, 22, 45] from Operation: 90/2=45 Current State: 23:[46, 22, 45], Operations: ['90/2=45'] Exploring Operation: 46+22=68, Resulting Numbers: [45, 68] Generated Node #3: [45, 68] from Operation: 46+22=68 Current State: 23:[45, 68], Operations: ['90/2=45', '46+22=68'] Exploring Operation: 68-45=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 25, 46, 19, 56 ]
58
[ "46-25=21", "56-19=37", "21+37=58" ]
Current State: 58:[25, 46, 19, 56], Operations: [] Exploring Operation: 46-25=21, Resulting Numbers: [19, 56, 21] Generated Node #2: [19, 56, 21] from Operation: 46-25=21 Current State: 58:[19, 56, 21], Operations: ['46-25=21'] Exploring Operation: 56-19=37, Resulting Numbers: [21, 37] Generated Node #3: [21, 37] from Operation: 56-19=37 Current State: 58:[21, 37], Operations: ['46-25=21', '56-19=37'] Exploring Operation: 21+37=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 36, 55, 15, 35 ]
72
[ "55+15=70", "36*70=2520", "2520/35=72" ]
Current State: 72:[36, 55, 15, 35], Operations: [] Exploring Operation: 55+15=70, Resulting Numbers: [36, 35, 70] Generated Node #2: [36, 35, 70] from Operation: 55+15=70 Current State: 72:[36, 35, 70], Operations: ['55+15=70'] Exploring Operation: 36*70=2520, Resulting Numbers: [35, 2520] Generated Node #3: [35, 2520] from Operation: 36*70=2520 Current State: 72:[35, 2520], Operations: ['55+15=70', '36*70=2520'] Exploring Operation: 2520/35=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 52, 91, 47, 35 ]
61
[ "52+91=143", "47+35=82", "143-82=61" ]
Current State: 61:[52, 91, 47, 35], Operations: [] Exploring Operation: 52+91=143, Resulting Numbers: [47, 35, 143] Generated Node #2: [47, 35, 143] from Operation: 52+91=143 Current State: 61:[47, 35, 143], Operations: ['52+91=143'] Exploring Operation: 47+35=82, Resulting Numbers: [143, 82] Generated Node #3: [143, 82] from Operation: 47+35=82 Current State: 61:[143, 82], Operations: ['52+91=143', '47+35=82'] Exploring Operation: 143-82=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 12, 83, 32, 18 ]
45
[ "12+83=95", "32+18=50", "95-50=45" ]
Current State: 45:[12, 83, 32, 18], Operations: [] Exploring Operation: 12+83=95, Resulting Numbers: [32, 18, 95] Generated Node #2: [32, 18, 95] from Operation: 12+83=95 Current State: 45:[32, 18, 95], Operations: ['12+83=95'] Exploring Operation: 32+18=50, Resulting Numbers: [95, 50] Generated Node #3: [95, 50] from Operation: 32+18=50 Current State: 45:[95, 50], Operations: ['12+83=95', '32+18=50'] Exploring Operation: 95-50=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 12, 54, 95, 2 ]
62
[ "12+54=66", "66/2=33", "95-33=62" ]
Current State: 62:[12, 54, 95, 2], Operations: [] Exploring Operation: 12+54=66, Resulting Numbers: [95, 2, 66] Generated Node #2: [95, 2, 66] from Operation: 12+54=66 Current State: 62:[95, 2, 66], Operations: ['12+54=66'] Exploring Operation: 66/2=33, Resulting Numbers: [95, 33] Generated Node #3: [95, 33] from Operation: 66/2=33 Current State: 62:[95, 33], Operations: ['12+54=66', '66/2=33'] Exploring Operation: 95-33=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 33, 19, 24, 28 ]
81
[ "33-24=9", "28-19=9", "9*9=81" ]
Current State: 81:[33, 19, 24, 28], Operations: [] Exploring Operation: 33-24=9, Resulting Numbers: [19, 28, 9] Generated Node #2: [19, 28, 9] from Operation: 33-24=9 Current State: 81:[19, 28, 9], Operations: ['33-24=9'] Exploring Operation: 28-19=9, Resulting Numbers: [9, 9] Generated Node #3: [9, 9] from Operation: 28-19=9 Current State: 81:[9, 9], Operations: ['33-24=9', '28-19=9'] Exploring Operation: 9*9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 61, 11, 23, 25 ]
39
[ "25-23=2", "11*2=22", "61-22=39" ]
Current State: 39:[61, 11, 23, 25], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [61, 11, 2] Generated Node #2: [61, 11, 2] from Operation: 25-23=2 Current State: 39:[61, 11, 2], Operations: ['25-23=2'] Exploring Operation: 11*2=22, Resulting Numbers: [61, 22] Generated Node #3: [61, 22] from Operation: 11*2=22 Current State: 39:[61, 22], Operations: ['25-23=2', '11*2=22'] Exploring Operation: 61-22=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 9, 40, 74, 22 ]
72
[ "40-22=18", "18/9=2", "74-2=72" ]
Current State: 72:[9, 40, 74, 22], Operations: [] Exploring Operation: 40-22=18, Resulting Numbers: [9, 74, 18] Generated Node #2: [9, 74, 18] from Operation: 40-22=18 Current State: 72:[9, 74, 18], Operations: ['40-22=18'] Exploring Operation: 18/9=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 18/9=2 Current State: 72:[74, 2], Operations: ['40-22=18', '18/9=2'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 22, 83, 87, 40 ]
14
[ "83-22=61", "87-40=47", "61-47=14" ]
Current State: 14:[22, 83, 87, 40], Operations: [] Exploring Operation: 83-22=61, Resulting Numbers: [87, 40, 61] Generated Node #2: [87, 40, 61] from Operation: 83-22=61 Current State: 14:[87, 40, 61], Operations: ['83-22=61'] Exploring Operation: 87-40=47, Resulting Numbers: [61, 47] Generated Node #3: [61, 47] from Operation: 87-40=47 Current State: 14:[61, 47], Operations: ['83-22=61', '87-40=47'] Exploring Operation: 61-47=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 56, 53, 25, 71 ]
73
[ "53-25=28", "56/28=2", "71+2=73" ]
Current State: 73:[56, 53, 25, 71], Operations: [] Exploring Operation: 53-25=28, Resulting Numbers: [56, 71, 28] Generated Node #2: [56, 71, 28] from Operation: 53-25=28 Current State: 73:[56, 71, 28], Operations: ['53-25=28'] Exploring Operation: 56/28=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 56/28=2 Current State: 73:[71, 2], Operations: ['53-25=28', '56/28=2'] Exploring Operation: 71+2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 29, 85, 28, 89 ]
91
[ "85-29=56", "56/28=2", "89+2=91" ]
Current State: 91:[29, 85, 28, 89], Operations: [] Exploring Operation: 85-29=56, Resulting Numbers: [28, 89, 56] Generated Node #2: [28, 89, 56] from Operation: 85-29=56 Current State: 91:[28, 89, 56], Operations: ['85-29=56'] Exploring Operation: 56/28=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 56/28=2 Current State: 91:[89, 2], Operations: ['85-29=56', '56/28=2'] Exploring Operation: 89+2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 27, 47, 9, 19 ]
54
[ "47-9=38", "27*38=1026", "1026/19=54" ]
Current State: 54:[27, 47, 9, 19], Operations: [] Exploring Operation: 47-9=38, Resulting Numbers: [27, 19, 38] Generated Node #2: [27, 19, 38] from Operation: 47-9=38 Current State: 54:[27, 19, 38], Operations: ['47-9=38'] Exploring Operation: 27*38=1026, Resulting Numbers: [19, 1026] Generated Node #3: [19, 1026] from Operation: 27*38=1026 Current State: 54:[19, 1026], Operations: ['47-9=38', '27*38=1026'] Exploring Operation: 1026/19=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 37, 58, 55, 48 ]
82
[ "58-37=21", "55+48=103", "103-21=82" ]
Current State: 82:[37, 58, 55, 48], Operations: [] Exploring Operation: 58-37=21, Resulting Numbers: [55, 48, 21] Generated Node #2: [55, 48, 21] from Operation: 58-37=21 Current State: 82:[55, 48, 21], Operations: ['58-37=21'] Exploring Operation: 55+48=103, Resulting Numbers: [21, 103] Generated Node #3: [21, 103] from Operation: 55+48=103 Current State: 82:[21, 103], Operations: ['58-37=21', '55+48=103'] Exploring Operation: 103-21=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 43, 18, 36, 72 ]
86
[ "72-36=36", "43*36=1548", "1548/18=86" ]
Current State: 86:[43, 18, 36, 72], Operations: [] Exploring Operation: 72-36=36, Resulting Numbers: [43, 18, 36] Generated Node #2: [43, 18, 36] from Operation: 72-36=36 Current State: 86:[43, 18, 36], Operations: ['72-36=36'] Exploring Operation: 43*36=1548, Resulting Numbers: [18, 1548] Generated Node #3: [18, 1548] from Operation: 43*36=1548 Current State: 86:[18, 1548], Operations: ['72-36=36', '43*36=1548'] Exploring Operation: 1548/18=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 6, 39, 27, 48 ]
59
[ "39+27=66", "66/6=11", "48+11=59" ]
Current State: 59:[6, 39, 27, 48], Operations: [] Exploring Operation: 39+27=66, Resulting Numbers: [6, 48, 66] Generated Node #2: [6, 48, 66] from Operation: 39+27=66 Current State: 59:[6, 48, 66], Operations: ['39+27=66'] Exploring Operation: 66/6=11, Resulting Numbers: [48, 11] Generated Node #3: [48, 11] from Operation: 66/6=11 Current State: 59:[48, 11], Operations: ['39+27=66', '66/6=11'] Exploring Operation: 48+11=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 12, 15, 99, 54 ]
47
[ "99-15=84", "84/12=7", "54-7=47" ]
Current State: 47:[12, 15, 99, 54], Operations: [] Exploring Operation: 99-15=84, Resulting Numbers: [12, 54, 84] Generated Node #2: [12, 54, 84] from Operation: 99-15=84 Current State: 47:[12, 54, 84], Operations: ['99-15=84'] Exploring Operation: 84/12=7, Resulting Numbers: [54, 7] Generated Node #3: [54, 7] from Operation: 84/12=7 Current State: 47:[54, 7], Operations: ['99-15=84', '84/12=7'] Exploring Operation: 54-7=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 41, 70, 63, 6 ]
29
[ "41+70=111", "63+111=174", "174/6=29" ]
Current State: 29:[41, 70, 63, 6], Operations: [] Exploring Operation: 41+70=111, Resulting Numbers: [63, 6, 111] Generated Node #2: [63, 6, 111] from Operation: 41+70=111 Current State: 29:[63, 6, 111], Operations: ['41+70=111'] Exploring Operation: 63+111=174, Resulting Numbers: [6, 174] Generated Node #3: [6, 174] from Operation: 63+111=174 Current State: 29:[6, 174], Operations: ['41+70=111', '63+111=174'] Exploring Operation: 174/6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 35, 13, 42, 2 ]
92
[ "35+13=48", "42+2=44", "48+44=92" ]
Current State: 92:[35, 13, 42, 2], Operations: [] Exploring Operation: 35+13=48, Resulting Numbers: [42, 2, 48] Generated Node #2: [42, 2, 48] from Operation: 35+13=48 Current State: 92:[42, 2, 48], Operations: ['35+13=48'] Exploring Operation: 42+2=44, Resulting Numbers: [48, 44] Generated Node #3: [48, 44] from Operation: 42+2=44 Current State: 92:[48, 44], Operations: ['35+13=48', '42+2=44'] Exploring Operation: 48+44=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 85, 80, 5, 46 ]
85
[ "80-46=34", "5*34=170", "170-85=85" ]
Current State: 85:[85, 80, 5, 46], Operations: [] Exploring Operation: 80-46=34, Resulting Numbers: [85, 5, 34] Generated Node #2: [85, 5, 34] from Operation: 80-46=34 Current State: 85:[85, 5, 34], Operations: ['80-46=34'] Exploring Operation: 5*34=170, Resulting Numbers: [85, 170] Generated Node #3: [85, 170] from Operation: 5*34=170 Current State: 85:[85, 170], Operations: ['80-46=34', '5*34=170'] Exploring Operation: 170-85=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 31, 46, 34, 36 ]
58
[ "34-31=3", "36/3=12", "46+12=58" ]
Current State: 58:[31, 46, 34, 36], Operations: [] Exploring Operation: 34-31=3, Resulting Numbers: [46, 36, 3] Generated Node #2: [46, 36, 3] from Operation: 34-31=3 Current State: 58:[46, 36, 3], Operations: ['34-31=3'] Exploring Operation: 36/3=12, Resulting Numbers: [46, 12] Generated Node #3: [46, 12] from Operation: 36/3=12 Current State: 58:[46, 12], Operations: ['34-31=3', '36/3=12'] Exploring Operation: 46+12=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 6, 32, 18, 87 ]
61
[ "18/6=3", "87/3=29", "32+29=61" ]
Current State: 61:[6, 32, 18, 87], Operations: [] Exploring Operation: 18/6=3, Resulting Numbers: [32, 87, 3] Generated Node #2: [32, 87, 3] from Operation: 18/6=3 Current State: 61:[32, 87, 3], Operations: ['18/6=3'] Exploring Operation: 87/3=29, Resulting Numbers: [32, 29] Generated Node #3: [32, 29] from Operation: 87/3=29 Current State: 61:[32, 29], Operations: ['18/6=3', '87/3=29'] Exploring Operation: 32+29=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 78, 95, 1, 83 ]
65
[ "95-78=17", "83-1=82", "82-17=65" ]
Current State: 65:[78, 95, 1, 83], Operations: [] Exploring Operation: 95-78=17, Resulting Numbers: [1, 83, 17] Generated Node #2: [1, 83, 17] from Operation: 95-78=17 Current State: 65:[1, 83, 17], Operations: ['95-78=17'] Exploring Operation: 83-1=82, Resulting Numbers: [17, 82] Generated Node #3: [17, 82] from Operation: 83-1=82 Current State: 65:[17, 82], Operations: ['95-78=17', '83-1=82'] Exploring Operation: 82-17=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 35, 44, 92, 81 ]
99
[ "44-35=9", "92-81=11", "9*11=99" ]
Current State: 99:[35, 44, 92, 81], Operations: [] Exploring Operation: 44-35=9, Resulting Numbers: [92, 81, 9] Generated Node #2: [92, 81, 9] from Operation: 44-35=9 Current State: 99:[92, 81, 9], Operations: ['44-35=9'] Exploring Operation: 92-81=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 92-81=11 Current State: 99:[9, 11], Operations: ['44-35=9', '92-81=11'] Exploring Operation: 9*11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 83, 90, 81, 6 ]
30
[ "83-81=2", "90/6=15", "2*15=30" ]
Current State: 30:[83, 90, 81, 6], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [90, 6, 2] Generated Node #2: [90, 6, 2] from Operation: 83-81=2 Current State: 30:[90, 6, 2], Operations: ['83-81=2'] Exploring Operation: 90/6=15, Resulting Numbers: [2, 15] Generated Node #3: [2, 15] from Operation: 90/6=15 Current State: 30:[2, 15], Operations: ['83-81=2', '90/6=15'] Exploring Operation: 2*15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 58, 64, 9, 1 ]
65
[ "64-1=63", "63/9=7", "58+7=65" ]
Current State: 65:[58, 64, 9, 1], Operations: [] Exploring Operation: 64-1=63, Resulting Numbers: [58, 9, 63] Generated Node #2: [58, 9, 63] from Operation: 64-1=63 Current State: 65:[58, 9, 63], Operations: ['64-1=63'] Exploring Operation: 63/9=7, Resulting Numbers: [58, 7] Generated Node #3: [58, 7] from Operation: 63/9=7 Current State: 65:[58, 7], Operations: ['64-1=63', '63/9=7'] Exploring Operation: 58+7=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 62, 20, 8, 32 ]
67
[ "20*8=160", "160/32=5", "62+5=67" ]
Current State: 67:[62, 20, 8, 32], Operations: [] Exploring Operation: 20*8=160, Resulting Numbers: [62, 32, 160] Generated Node #2: [62, 32, 160] from Operation: 20*8=160 Current State: 67:[62, 32, 160], Operations: ['20*8=160'] Exploring Operation: 160/32=5, Resulting Numbers: [62, 5] Generated Node #3: [62, 5] from Operation: 160/32=5 Current State: 67:[62, 5], Operations: ['20*8=160', '160/32=5'] Exploring Operation: 62+5=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 24, 9, 3, 43 ]
22
[ "43-24=19", "9/3=3", "19+3=22" ]
Current State: 22:[24, 9, 3, 43], Operations: [] Exploring Operation: 43-24=19, Resulting Numbers: [9, 3, 19] Generated Node #2: [9, 3, 19] from Operation: 43-24=19 Current State: 22:[9, 3, 19], Operations: ['43-24=19'] Exploring Operation: 9/3=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 9/3=3 Current State: 22:[19, 3], Operations: ['43-24=19', '9/3=3'] Exploring Operation: 19+3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 30, 96, 2, 19 ]
37
[ "30-19=11", "96/2=48", "48-11=37" ]
Current State: 37:[30, 96, 2, 19], Operations: [] Exploring Operation: 30-19=11, Resulting Numbers: [96, 2, 11] Generated Node #2: [96, 2, 11] from Operation: 30-19=11 Current State: 37:[96, 2, 11], Operations: ['30-19=11'] Exploring Operation: 96/2=48, Resulting Numbers: [11, 48] Generated Node #3: [11, 48] from Operation: 96/2=48 Current State: 37:[11, 48], Operations: ['30-19=11', '96/2=48'] Exploring Operation: 48-11=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 30, 4, 49, 81 ]
58
[ "30-4=26", "81-49=32", "26+32=58" ]
Current State: 58:[30, 4, 49, 81], Operations: [] Exploring Operation: 30-4=26, Resulting Numbers: [49, 81, 26] Generated Node #2: [49, 81, 26] from Operation: 30-4=26 Current State: 58:[49, 81, 26], Operations: ['30-4=26'] Exploring Operation: 81-49=32, Resulting Numbers: [26, 32] Generated Node #3: [26, 32] from Operation: 81-49=32 Current State: 58:[26, 32], Operations: ['30-4=26', '81-49=32'] Exploring Operation: 26+32=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 73, 18, 22, 14 ]
71
[ "22+14=36", "36/18=2", "73-2=71" ]
Current State: 71:[73, 18, 22, 14], Operations: [] Exploring Operation: 22+14=36, Resulting Numbers: [73, 18, 36] Generated Node #2: [73, 18, 36] from Operation: 22+14=36 Current State: 71:[73, 18, 36], Operations: ['22+14=36'] Exploring Operation: 36/18=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 36/18=2 Current State: 71:[73, 2], Operations: ['22+14=36', '36/18=2'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 76, 52, 2, 41 ]
23
[ "76+52=128", "128/2=64", "64-41=23" ]
Current State: 23:[76, 52, 2, 41], Operations: [] Exploring Operation: 76+52=128, Resulting Numbers: [2, 41, 128] Generated Node #2: [2, 41, 128] from Operation: 76+52=128 Current State: 23:[2, 41, 128], Operations: ['76+52=128'] Exploring Operation: 128/2=64, Resulting Numbers: [41, 64] Generated Node #3: [41, 64] from Operation: 128/2=64 Current State: 23:[41, 64], Operations: ['76+52=128', '128/2=64'] Exploring Operation: 64-41=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 68, 83, 52, 86 ]
48
[ "68-52=16", "86-83=3", "16*3=48" ]
Current State: 48:[68, 83, 52, 86], Operations: [] Exploring Operation: 68-52=16, Resulting Numbers: [83, 86, 16] Generated Node #2: [83, 86, 16] from Operation: 68-52=16 Current State: 48:[83, 86, 16], Operations: ['68-52=16'] Exploring Operation: 86-83=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 86-83=3 Current State: 48:[16, 3], Operations: ['68-52=16', '86-83=3'] Exploring Operation: 16*3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 79, 50, 42, 3 ]
85
[ "79+50=129", "129/3=43", "42+43=85" ]
Current State: 85:[79, 50, 42, 3], Operations: [] Exploring Operation: 79+50=129, Resulting Numbers: [42, 3, 129] Generated Node #2: [42, 3, 129] from Operation: 79+50=129 Current State: 85:[42, 3, 129], Operations: ['79+50=129'] Exploring Operation: 129/3=43, Resulting Numbers: [42, 43] Generated Node #3: [42, 43] from Operation: 129/3=43 Current State: 85:[42, 43], Operations: ['79+50=129', '129/3=43'] Exploring Operation: 42+43=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 4, 83, 96, 77 ]
18
[ "96/4=24", "83-77=6", "24-6=18" ]
Current State: 18:[4, 83, 96, 77], Operations: [] Exploring Operation: 96/4=24, Resulting Numbers: [83, 77, 24] Generated Node #2: [83, 77, 24] from Operation: 96/4=24 Current State: 18:[83, 77, 24], Operations: ['96/4=24'] Exploring Operation: 83-77=6, Resulting Numbers: [24, 6] Generated Node #3: [24, 6] from Operation: 83-77=6 Current State: 18:[24, 6], Operations: ['96/4=24', '83-77=6'] Exploring Operation: 24-6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 49, 89, 8, 40 ]
45
[ "89-49=40", "40/8=5", "40+5=45" ]
Current State: 45:[49, 89, 8, 40], Operations: [] Exploring Operation: 89-49=40, Resulting Numbers: [8, 40, 40] Generated Node #2: [8, 40, 40] from Operation: 89-49=40 Current State: 45:[8, 40, 40], Operations: ['89-49=40'] Exploring Operation: 40/8=5, Resulting Numbers: [5] 5,45 equal: Goal Reached Exploring Operation: 40+5=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 13, 9, 30, 51 ]
59
[ "13+9=22", "30+51=81", "81-22=59" ]
Current State: 59:[13, 9, 30, 51], Operations: [] Exploring Operation: 13+9=22, Resulting Numbers: [30, 51, 22] Generated Node #2: [30, 51, 22] from Operation: 13+9=22 Current State: 59:[30, 51, 22], Operations: ['13+9=22'] Exploring Operation: 30+51=81, Resulting Numbers: [22, 81] Generated Node #3: [22, 81] from Operation: 30+51=81 Current State: 59:[22, 81], Operations: ['13+9=22', '30+51=81'] Exploring Operation: 81-22=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 53, 18, 24, 7 ]
61
[ "53*7=371", "18*24=432", "432-371=61" ]
Current State: 61:[53, 18, 24, 7], Operations: [] Exploring Operation: 53*7=371, Resulting Numbers: [18, 24, 371] Generated Node #2: [18, 24, 371] from Operation: 53*7=371 Current State: 61:[18, 24, 371], Operations: ['53*7=371'] Exploring Operation: 18*24=432, Resulting Numbers: [371, 432] Generated Node #3: [371, 432] from Operation: 18*24=432 Current State: 61:[371, 432], Operations: ['53*7=371', '18*24=432'] Exploring Operation: 432-371=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 18, 80, 44, 81 ]
26
[ "44-18=26", "81-80=1", "26*1=26" ]
Current State: 26:[18, 80, 44, 81], Operations: [] Exploring Operation: 44-18=26, Resulting Numbers: [80, 81, 26] Generated Node #2: [80, 81, 26] from Operation: 44-18=26 Current State: 26:[80, 81, 26], Operations: ['44-18=26'] Exploring Operation: 81-80=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 81-80=1 Current State: 26:[26, 1], Operations: ['44-18=26', '81-80=1'] Exploring Operation: 26*1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 48, 40, 33, 55 ]
33
[ "48*55=2640", "2640/40=66", "66-33=33" ]
Current State: 33:[48, 40, 33, 55], Operations: [] Exploring Operation: 48*55=2640, Resulting Numbers: [40, 33, 2640] Generated Node #2: [40, 33, 2640] from Operation: 48*55=2640 Current State: 33:[40, 33, 2640], Operations: ['48*55=2640'] Exploring Operation: 2640/40=66, Resulting Numbers: [33, 66] Generated Node #3: [33, 66] from Operation: 2640/40=66 Current State: 33:[33, 66], Operations: ['48*55=2640', '2640/40=66'] Exploring Operation: 66-33=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 9, 38, 96, 17 ]
95
[ "9*17=153", "96-38=58", "153-58=95" ]
Current State: 95:[9, 38, 96, 17], Operations: [] Exploring Operation: 9*17=153, Resulting Numbers: [38, 96, 153] Generated Node #2: [38, 96, 153] from Operation: 9*17=153 Current State: 95:[38, 96, 153], Operations: ['9*17=153'] Exploring Operation: 96-38=58, Resulting Numbers: [153, 58] Generated Node #3: [153, 58] from Operation: 96-38=58 Current State: 95:[153, 58], Operations: ['9*17=153', '96-38=58'] Exploring Operation: 153-58=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 95, 30, 72, 96 ]
89
[ "95-30=65", "96-72=24", "65+24=89" ]
Current State: 89:[95, 30, 72, 96], Operations: [] Exploring Operation: 95-30=65, Resulting Numbers: [72, 96, 65] Generated Node #2: [72, 96, 65] from Operation: 95-30=65 Current State: 89:[72, 96, 65], Operations: ['95-30=65'] Exploring Operation: 96-72=24, Resulting Numbers: [65, 24] Generated Node #3: [65, 24] from Operation: 96-72=24 Current State: 89:[65, 24], Operations: ['95-30=65', '96-72=24'] Exploring Operation: 65+24=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 62, 7, 51, 64 ]
69
[ "62+64=126", "126/7=18", "51+18=69" ]
Current State: 69:[62, 7, 51, 64], Operations: [] Exploring Operation: 62+64=126, Resulting Numbers: [7, 51, 126] Generated Node #2: [7, 51, 126] from Operation: 62+64=126 Current State: 69:[7, 51, 126], Operations: ['62+64=126'] Exploring Operation: 126/7=18, Resulting Numbers: [51, 18] Generated Node #3: [51, 18] from Operation: 126/7=18 Current State: 69:[51, 18], Operations: ['62+64=126', '126/7=18'] Exploring Operation: 51+18=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 33, 30, 10, 77 ]
90
[ "33-30=3", "10+77=87", "3+87=90" ]
Current State: 90:[33, 30, 10, 77], Operations: [] Exploring Operation: 33-30=3, Resulting Numbers: [10, 77, 3] Generated Node #2: [10, 77, 3] from Operation: 33-30=3 Current State: 90:[10, 77, 3], Operations: ['33-30=3'] Exploring Operation: 10+77=87, Resulting Numbers: [3, 87] Generated Node #3: [3, 87] from Operation: 10+77=87 Current State: 90:[3, 87], Operations: ['33-30=3', '10+77=87'] Exploring Operation: 3+87=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 10, 33, 78, 33 ]
22
[ "33-10=23", "78-33=45", "45-23=22" ]
Current State: 22:[10, 33, 78, 33], Operations: [] Exploring Operation: 33-10=23, Resulting Numbers: [78, 23] Generated Node #2: [78, 23] from Operation: 33-10=23 Current State: 22:[78, 23], Operations: ['33-10=23'] Exploring Operation: 78-33=45, Resulting Numbers: [23, 45] Generated Node #3: [23, 45] from Operation: 78-33=45 Current State: 22:[23, 45], Operations: ['33-10=23', '78-33=45'] Exploring Operation: 45-23=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 17, 89, 71, 15 ]
20
[ "17+89=106", "71+15=86", "106-86=20" ]
Current State: 20:[17, 89, 71, 15], Operations: [] Exploring Operation: 17+89=106, Resulting Numbers: [71, 15, 106] Generated Node #2: [71, 15, 106] from Operation: 17+89=106 Current State: 20:[71, 15, 106], Operations: ['17+89=106'] Exploring Operation: 71+15=86, Resulting Numbers: [106, 86] Generated Node #3: [106, 86] from Operation: 71+15=86 Current State: 20:[106, 86], Operations: ['17+89=106', '71+15=86'] Exploring Operation: 106-86=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 14, 4, 84, 16 ]
88
[ "84/14=6", "16+6=22", "4*22=88" ]
Current State: 88:[14, 4, 84, 16], Operations: [] Exploring Operation: 84/14=6, Resulting Numbers: [4, 16, 6] Generated Node #2: [4, 16, 6] from Operation: 84/14=6 Current State: 88:[4, 16, 6], Operations: ['84/14=6'] Exploring Operation: 16+6=22, Resulting Numbers: [4, 22] Generated Node #3: [4, 22] from Operation: 16+6=22 Current State: 88:[4, 22], Operations: ['84/14=6', '16+6=22'] Exploring Operation: 4*22=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 3, 51, 8, 96 ]
33
[ "51-8=43", "3*43=129", "129-96=33" ]
Current State: 33:[3, 51, 8, 96], Operations: [] Exploring Operation: 51-8=43, Resulting Numbers: [3, 96, 43] Generated Node #2: [3, 96, 43] from Operation: 51-8=43 Current State: 33:[3, 96, 43], Operations: ['51-8=43'] Exploring Operation: 3*43=129, Resulting Numbers: [96, 129] Generated Node #3: [96, 129] from Operation: 3*43=129 Current State: 33:[96, 129], Operations: ['51-8=43', '3*43=129'] Exploring Operation: 129-96=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 62, 57, 21, 91 ]
75
[ "62-57=5", "91-21=70", "5+70=75" ]
Current State: 75:[62, 57, 21, 91], Operations: [] Exploring Operation: 62-57=5, Resulting Numbers: [21, 91, 5] Generated Node #2: [21, 91, 5] from Operation: 62-57=5 Current State: 75:[21, 91, 5], Operations: ['62-57=5'] Exploring Operation: 91-21=70, Resulting Numbers: [5, 70] Generated Node #3: [5, 70] from Operation: 91-21=70 Current State: 75:[5, 70], Operations: ['62-57=5', '91-21=70'] Exploring Operation: 5+70=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 80, 66, 46, 40 ]
18
[ "80/40=2", "66-46=20", "20-2=18" ]
Current State: 18:[80, 66, 46, 40], Operations: [] Exploring Operation: 80/40=2, Resulting Numbers: [66, 46, 2] Generated Node #2: [66, 46, 2] from Operation: 80/40=2 Current State: 18:[66, 46, 2], Operations: ['80/40=2'] Exploring Operation: 66-46=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 66-46=20 Current State: 18:[2, 20], Operations: ['80/40=2', '66-46=20'] Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 48, 36, 74, 87 ]
71
[ "48+36=84", "87-74=13", "84-13=71" ]
Current State: 71:[48, 36, 74, 87], Operations: [] Exploring Operation: 48+36=84, Resulting Numbers: [74, 87, 84] Generated Node #2: [74, 87, 84] from Operation: 48+36=84 Current State: 71:[74, 87, 84], Operations: ['48+36=84'] Exploring Operation: 87-74=13, Resulting Numbers: [84, 13] Generated Node #3: [84, 13] from Operation: 87-74=13 Current State: 71:[84, 13], Operations: ['48+36=84', '87-74=13'] Exploring Operation: 84-13=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 43, 26, 22, 12 ]
39
[ "26+22=48", "48/12=4", "43-4=39" ]
Current State: 39:[43, 26, 22, 12], Operations: [] Exploring Operation: 26+22=48, Resulting Numbers: [43, 12, 48] Generated Node #2: [43, 12, 48] from Operation: 26+22=48 Current State: 39:[43, 12, 48], Operations: ['26+22=48'] Exploring Operation: 48/12=4, Resulting Numbers: [43, 4] Generated Node #3: [43, 4] from Operation: 48/12=4 Current State: 39:[43, 4], Operations: ['26+22=48', '48/12=4'] Exploring Operation: 43-4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 27, 2, 7, 44 ]
66
[ "27+2=29", "44-7=37", "29+37=66" ]
Current State: 66:[27, 2, 7, 44], Operations: [] Exploring Operation: 27+2=29, Resulting Numbers: [7, 44, 29] Generated Node #2: [7, 44, 29] from Operation: 27+2=29 Current State: 66:[7, 44, 29], Operations: ['27+2=29'] Exploring Operation: 44-7=37, Resulting Numbers: [29, 37] Generated Node #3: [29, 37] from Operation: 44-7=37 Current State: 66:[29, 37], Operations: ['27+2=29', '44-7=37'] Exploring Operation: 29+37=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 25, 18, 83, 85 ]
24
[ "25-18=7", "83+85=168", "168/7=24" ]
Current State: 24:[25, 18, 83, 85], Operations: [] Exploring Operation: 25-18=7, Resulting Numbers: [83, 85, 7] Generated Node #2: [83, 85, 7] from Operation: 25-18=7 Current State: 24:[83, 85, 7], Operations: ['25-18=7'] Exploring Operation: 83+85=168, Resulting Numbers: [7, 168] Generated Node #3: [7, 168] from Operation: 83+85=168 Current State: 24:[7, 168], Operations: ['25-18=7', '83+85=168'] Exploring Operation: 168/7=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 2, 1, 72, 97 ]
61
[ "2*1=2", "72/2=36", "97-36=61" ]
Current State: 61:[2, 1, 72, 97], Operations: [] Exploring Operation: 2*1=2, Resulting Numbers: [72, 97, 2] Generated Node #2: [72, 97, 2] from Operation: 2*1=2 Current State: 61:[72, 97, 2], Operations: ['2*1=2'] Exploring Operation: 72/2=36, Resulting Numbers: [97, 36] Generated Node #3: [97, 36] from Operation: 72/2=36 Current State: 61:[97, 36], Operations: ['2*1=2', '72/2=36'] Exploring Operation: 97-36=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 95, 96, 30, 6 ]
84
[ "96-30=66", "66/6=11", "95-11=84" ]
Current State: 84:[95, 96, 30, 6], Operations: [] Exploring Operation: 96-30=66, Resulting Numbers: [95, 6, 66] Generated Node #2: [95, 6, 66] from Operation: 96-30=66 Current State: 84:[95, 6, 66], Operations: ['96-30=66'] Exploring Operation: 66/6=11, Resulting Numbers: [95, 11] Generated Node #3: [95, 11] from Operation: 66/6=11 Current State: 84:[95, 11], Operations: ['96-30=66', '66/6=11'] Exploring Operation: 95-11=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 33, 23, 25, 56 ]
14
[ "33*23=759", "25+759=784", "784/56=14" ]
Current State: 14:[33, 23, 25, 56], Operations: [] Exploring Operation: 33*23=759, Resulting Numbers: [25, 56, 759] Generated Node #2: [25, 56, 759] from Operation: 33*23=759 Current State: 14:[25, 56, 759], Operations: ['33*23=759'] Exploring Operation: 25+759=784, Resulting Numbers: [56, 784] Generated Node #3: [56, 784] from Operation: 25+759=784 Current State: 14:[56, 784], Operations: ['33*23=759', '25+759=784'] Exploring Operation: 784/56=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 4, 41, 1, 72 ]
22
[ "72/4=18", "41-1=40", "40-18=22" ]
Current State: 22:[4, 41, 1, 72], Operations: [] Exploring Operation: 72/4=18, Resulting Numbers: [41, 1, 18] Generated Node #2: [41, 1, 18] from Operation: 72/4=18 Current State: 22:[41, 1, 18], Operations: ['72/4=18'] Exploring Operation: 41-1=40, Resulting Numbers: [18, 40] Generated Node #3: [18, 40] from Operation: 41-1=40 Current State: 22:[18, 40], Operations: ['72/4=18', '41-1=40'] Exploring Operation: 40-18=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 84, 51, 82, 24 ]
54
[ "84-82=2", "51-24=27", "2*27=54" ]
Current State: 54:[84, 51, 82, 24], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [51, 24, 2] Generated Node #2: [51, 24, 2] from Operation: 84-82=2 Current State: 54:[51, 24, 2], Operations: ['84-82=2'] Exploring Operation: 51-24=27, Resulting Numbers: [2, 27] Generated Node #3: [2, 27] from Operation: 51-24=27 Current State: 54:[2, 27], Operations: ['84-82=2', '51-24=27'] Exploring Operation: 2*27=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 31, 97, 79, 72 ]
59
[ "97-31=66", "79-72=7", "66-7=59" ]
Current State: 59:[31, 97, 79, 72], Operations: [] Exploring Operation: 97-31=66, Resulting Numbers: [79, 72, 66] Generated Node #2: [79, 72, 66] from Operation: 97-31=66 Current State: 59:[79, 72, 66], Operations: ['97-31=66'] Exploring Operation: 79-72=7, Resulting Numbers: [66, 7] Generated Node #3: [66, 7] from Operation: 79-72=7 Current State: 59:[66, 7], Operations: ['97-31=66', '79-72=7'] Exploring Operation: 66-7=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 60, 44, 58, 54 ]
76
[ "60-58=2", "44/2=22", "54+22=76" ]
Current State: 76:[60, 44, 58, 54], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [44, 54, 2] Generated Node #2: [44, 54, 2] from Operation: 60-58=2 Current State: 76:[44, 54, 2], Operations: ['60-58=2'] Exploring Operation: 44/2=22, Resulting Numbers: [54, 22] Generated Node #3: [54, 22] from Operation: 44/2=22 Current State: 76:[54, 22], Operations: ['60-58=2', '44/2=22'] Exploring Operation: 54+22=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 88, 33, 84, 36 ]
73
[ "88+33=121", "84-36=48", "121-48=73" ]
Current State: 73:[88, 33, 84, 36], Operations: [] Exploring Operation: 88+33=121, Resulting Numbers: [84, 36, 121] Generated Node #2: [84, 36, 121] from Operation: 88+33=121 Current State: 73:[84, 36, 121], Operations: ['88+33=121'] Exploring Operation: 84-36=48, Resulting Numbers: [121, 48] Generated Node #3: [121, 48] from Operation: 84-36=48 Current State: 73:[121, 48], Operations: ['88+33=121', '84-36=48'] Exploring Operation: 121-48=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 12, 5, 97, 7 ]
24
[ "97-12=85", "85/5=17", "7+17=24" ]
Current State: 24:[12, 5, 97, 7], Operations: [] Exploring Operation: 97-12=85, Resulting Numbers: [5, 7, 85] Generated Node #2: [5, 7, 85] from Operation: 97-12=85 Current State: 24:[5, 7, 85], Operations: ['97-12=85'] Exploring Operation: 85/5=17, Resulting Numbers: [7, 17] Generated Node #3: [7, 17] from Operation: 85/5=17 Current State: 24:[7, 17], Operations: ['97-12=85', '85/5=17'] Exploring Operation: 7+17=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 99, 27, 18, 18 ]
15
[ "99-18=81", "81/27=3", "18-3=15" ]
Current State: 15:[99, 27, 18, 18], Operations: [] Exploring Operation: 99-18=81, Resulting Numbers: [27, 81] Generated Node #2: [27, 81] from Operation: 99-18=81 Current State: 15:[27, 81], Operations: ['99-18=81'] Exploring Operation: 81/27=3, Resulting Numbers: [3] 3,15 equal: Goal Reached Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 61, 47, 61, 18 ]
57
[ "61-47=14", "61-18=43", "14+43=57" ]
Current State: 57:[61, 47, 61, 18], Operations: [] Exploring Operation: 61-47=14, Resulting Numbers: [18, 14] Generated Node #2: [18, 14] from Operation: 61-47=14 Current State: 57:[18, 14], Operations: ['61-47=14'] Exploring Operation: 61-18=43, Resulting Numbers: [14, 43] Generated Node #3: [14, 43] from Operation: 61-18=43 Current State: 57:[14, 43], Operations: ['61-47=14', '61-18=43'] Exploring Operation: 14+43=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 92, 93, 85, 62 ]
97
[ "85-62=23", "92/23=4", "93+4=97" ]
Current State: 97:[92, 93, 85, 62], Operations: [] Exploring Operation: 85-62=23, Resulting Numbers: [92, 93, 23] Generated Node #2: [92, 93, 23] from Operation: 85-62=23 Current State: 97:[92, 93, 23], Operations: ['85-62=23'] Exploring Operation: 92/23=4, Resulting Numbers: [93, 4] Generated Node #3: [93, 4] from Operation: 92/23=4 Current State: 97:[93, 4], Operations: ['85-62=23', '92/23=4'] Exploring Operation: 93+4=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 26, 39, 9, 70 ]
47
[ "39-26=13", "9*13=117", "117-70=47" ]
Current State: 47:[26, 39, 9, 70], Operations: [] Exploring Operation: 39-26=13, Resulting Numbers: [9, 70, 13] Generated Node #2: [9, 70, 13] from Operation: 39-26=13 Current State: 47:[9, 70, 13], Operations: ['39-26=13'] Exploring Operation: 9*13=117, Resulting Numbers: [70, 117] Generated Node #3: [70, 117] from Operation: 9*13=117 Current State: 47:[70, 117], Operations: ['39-26=13', '9*13=117'] Exploring Operation: 117-70=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 54, 54, 30, 9 ]
59
[ "54/9=6", "30/6=5", "54+5=59" ]
Current State: 59:[54, 54, 30, 9], Operations: [] Exploring Operation: 54/9=6, Resulting Numbers: [30, 6] Generated Node #2: [30, 6] from Operation: 54/9=6 Current State: 59:[30, 6], Operations: ['54/9=6'] Exploring Operation: 30/6=5, Resulting Numbers: [5] 5,59 equal: Goal Reached Exploring Operation: 54+5=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 52, 61, 24, 58 ]
20
[ "61-58=3", "24*3=72", "72-52=20" ]
Current State: 20:[52, 61, 24, 58], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [52, 24, 3] Generated Node #2: [52, 24, 3] from Operation: 61-58=3 Current State: 20:[52, 24, 3], Operations: ['61-58=3'] Exploring Operation: 24*3=72, Resulting Numbers: [52, 72] Generated Node #3: [52, 72] from Operation: 24*3=72 Current State: 20:[52, 72], Operations: ['61-58=3', '24*3=72'] Exploring Operation: 72-52=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 92, 8, 47, 62 ]
99
[ "92-8=84", "62-47=15", "84+15=99" ]
Current State: 99:[92, 8, 47, 62], Operations: [] Exploring Operation: 92-8=84, Resulting Numbers: [47, 62, 84] Generated Node #2: [47, 62, 84] from Operation: 92-8=84 Current State: 99:[47, 62, 84], Operations: ['92-8=84'] Exploring Operation: 62-47=15, Resulting Numbers: [84, 15] Generated Node #3: [84, 15] from Operation: 62-47=15 Current State: 99:[84, 15], Operations: ['92-8=84', '62-47=15'] Exploring Operation: 84+15=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 87, 74, 11, 1 ]
23
[ "87-74=13", "11-1=10", "13+10=23" ]
Current State: 23:[87, 74, 11, 1], Operations: [] Exploring Operation: 87-74=13, Resulting Numbers: [11, 1, 13] Generated Node #2: [11, 1, 13] from Operation: 87-74=13 Current State: 23:[11, 1, 13], Operations: ['87-74=13'] Exploring Operation: 11-1=10, Resulting Numbers: [13, 10] Generated Node #3: [13, 10] from Operation: 11-1=10 Current State: 23:[13, 10], Operations: ['87-74=13', '11-1=10'] Exploring Operation: 13+10=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 15, 82, 38, 30 ]
63
[ "15*38=570", "570/30=19", "82-19=63" ]
Current State: 63:[15, 82, 38, 30], Operations: [] Exploring Operation: 15*38=570, Resulting Numbers: [82, 30, 570] Generated Node #2: [82, 30, 570] from Operation: 15*38=570 Current State: 63:[82, 30, 570], Operations: ['15*38=570'] Exploring Operation: 570/30=19, Resulting Numbers: [82, 19] Generated Node #3: [82, 19] from Operation: 570/30=19 Current State: 63:[82, 19], Operations: ['15*38=570', '570/30=19'] Exploring Operation: 82-19=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 74, 20, 56, 54 ]
55
[ "74-20=54", "54/54=1", "56-1=55" ]
Current State: 55:[74, 20, 56, 54], Operations: [] Exploring Operation: 74-20=54, Resulting Numbers: [56, 54, 54] Generated Node #2: [56, 54, 54] from Operation: 74-20=54 Current State: 55:[56, 54, 54], Operations: ['74-20=54'] Exploring Operation: 54/54=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 54/54=1 Current State: 55:[56, 1], Operations: ['74-20=54', '54/54=1'] Exploring Operation: 56-1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 33, 90, 68, 99 ]
38
[ "33*90=2970", "2970/99=30", "68-30=38" ]
Current State: 38:[33, 90, 68, 99], Operations: [] Exploring Operation: 33*90=2970, Resulting Numbers: [68, 99, 2970] Generated Node #2: [68, 99, 2970] from Operation: 33*90=2970 Current State: 38:[68, 99, 2970], Operations: ['33*90=2970'] Exploring Operation: 2970/99=30, Resulting Numbers: [68, 30] Generated Node #3: [68, 30] from Operation: 2970/99=30 Current State: 38:[68, 30], Operations: ['33*90=2970', '2970/99=30'] Exploring Operation: 68-30=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 71, 69, 52, 69 ]
86
[ "71-69=2", "69*2=138", "138-52=86" ]
Current State: 86:[71, 69, 52, 69], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [52, 2] Generated Node #2: [52, 2] from Operation: 71-69=2 Current State: 86:[52, 2], Operations: ['71-69=2'] Exploring Operation: 69*2=138, Resulting Numbers: [52, 138] Generated Node #3: [52, 138] from Operation: 69*2=138 Current State: 86:[52, 138], Operations: ['71-69=2', '69*2=138'] Exploring Operation: 138-52=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 11, 55, 3, 27 ]
59
[ "11+27=38", "3*38=114", "114-55=59" ]
Current State: 59:[11, 55, 3, 27], Operations: [] Exploring Operation: 11+27=38, Resulting Numbers: [55, 3, 38] Generated Node #2: [55, 3, 38] from Operation: 11+27=38 Current State: 59:[55, 3, 38], Operations: ['11+27=38'] Exploring Operation: 3*38=114, Resulting Numbers: [55, 114] Generated Node #3: [55, 114] from Operation: 3*38=114 Current State: 59:[55, 114], Operations: ['11+27=38', '3*38=114'] Exploring Operation: 114-55=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 23, 19, 82, 43 ]
81
[ "23+19=42", "82-43=39", "42+39=81" ]
Current State: 81:[23, 19, 82, 43], Operations: [] Exploring Operation: 23+19=42, Resulting Numbers: [82, 43, 42] Generated Node #2: [82, 43, 42] from Operation: 23+19=42 Current State: 81:[82, 43, 42], Operations: ['23+19=42'] Exploring Operation: 82-43=39, Resulting Numbers: [42, 39] Generated Node #3: [42, 39] from Operation: 82-43=39 Current State: 81:[42, 39], Operations: ['23+19=42', '82-43=39'] Exploring Operation: 42+39=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 72, 16, 78, 90 ]
98
[ "16*90=1440", "1440/72=20", "78+20=98" ]
Current State: 98:[72, 16, 78, 90], Operations: [] Exploring Operation: 16*90=1440, Resulting Numbers: [72, 78, 1440] Generated Node #2: [72, 78, 1440] from Operation: 16*90=1440 Current State: 98:[72, 78, 1440], Operations: ['16*90=1440'] Exploring Operation: 1440/72=20, Resulting Numbers: [78, 20] Generated Node #3: [78, 20] from Operation: 1440/72=20 Current State: 98:[78, 20], Operations: ['16*90=1440', '1440/72=20'] Exploring Operation: 78+20=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 31, 2, 66, 14 ]
84
[ "66-31=35", "2*35=70", "14+70=84" ]
Current State: 84:[31, 2, 66, 14], Operations: [] Exploring Operation: 66-31=35, Resulting Numbers: [2, 14, 35] Generated Node #2: [2, 14, 35] from Operation: 66-31=35 Current State: 84:[2, 14, 35], Operations: ['66-31=35'] Exploring Operation: 2*35=70, Resulting Numbers: [14, 70] Generated Node #3: [14, 70] from Operation: 2*35=70 Current State: 84:[14, 70], Operations: ['66-31=35', '2*35=70'] Exploring Operation: 14+70=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 52, 2, 94, 23 ]
61
[ "94-52=42", "2*42=84", "84-23=61" ]
Current State: 61:[52, 2, 94, 23], Operations: [] Exploring Operation: 94-52=42, Resulting Numbers: [2, 23, 42] Generated Node #2: [2, 23, 42] from Operation: 94-52=42 Current State: 61:[2, 23, 42], Operations: ['94-52=42'] Exploring Operation: 2*42=84, Resulting Numbers: [23, 84] Generated Node #3: [23, 84] from Operation: 2*42=84 Current State: 61:[23, 84], Operations: ['94-52=42', '2*42=84'] Exploring Operation: 84-23=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 88, 86, 88, 98 ]
86
[ "88-88=0", "98*0=0", "86+0=86" ]
Current State: 86:[88, 86, 88, 98], Operations: [] Exploring Operation: 88-88=0, Resulting Numbers: [86, 98, 0] Generated Node #2: [86, 98, 0] from Operation: 88-88=0 Current State: 86:[86, 98, 0], Operations: ['88-88=0'] Exploring Operation: 98*0=0, Resulting Numbers: [86, 0] Generated Node #3: [86, 0] from Operation: 98*0=0 Current State: 86:[86, 0], Operations: ['88-88=0', '98*0=0'] Exploring Operation: 86+0=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 63, 44, 98, 47 ]
56
[ "63+44=107", "98-47=51", "107-51=56" ]
Current State: 56:[63, 44, 98, 47], Operations: [] Exploring Operation: 63+44=107, Resulting Numbers: [98, 47, 107] Generated Node #2: [98, 47, 107] from Operation: 63+44=107 Current State: 56:[98, 47, 107], Operations: ['63+44=107'] Exploring Operation: 98-47=51, Resulting Numbers: [107, 51] Generated Node #3: [107, 51] from Operation: 98-47=51 Current State: 56:[107, 51], Operations: ['63+44=107', '98-47=51'] Exploring Operation: 107-51=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 66, 18, 12, 58 ]
22
[ "66-18=48", "12+58=70", "70-48=22" ]
Current State: 22:[66, 18, 12, 58], Operations: [] Exploring Operation: 66-18=48, Resulting Numbers: [12, 58, 48] Generated Node #2: [12, 58, 48] from Operation: 66-18=48 Current State: 22:[12, 58, 48], Operations: ['66-18=48'] Exploring Operation: 12+58=70, Resulting Numbers: [48, 70] Generated Node #3: [48, 70] from Operation: 12+58=70 Current State: 22:[48, 70], Operations: ['66-18=48', '12+58=70'] Exploring Operation: 70-48=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 20, 18, 21, 29 ]
30
[ "20+18=38", "29-21=8", "38-8=30" ]
Current State: 30:[20, 18, 21, 29], Operations: [] Exploring Operation: 20+18=38, Resulting Numbers: [21, 29, 38] Generated Node #2: [21, 29, 38] from Operation: 20+18=38 Current State: 30:[21, 29, 38], Operations: ['20+18=38'] Exploring Operation: 29-21=8, Resulting Numbers: [38, 8] Generated Node #3: [38, 8] from Operation: 29-21=8 Current State: 30:[38, 8], Operations: ['20+18=38', '29-21=8'] Exploring Operation: 38-8=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 14, 19, 42, 7 ]
68
[ "14+19=33", "42-7=35", "33+35=68" ]
Current State: 68:[14, 19, 42, 7], Operations: [] Exploring Operation: 14+19=33, Resulting Numbers: [42, 7, 33] Generated Node #2: [42, 7, 33] from Operation: 14+19=33 Current State: 68:[42, 7, 33], Operations: ['14+19=33'] Exploring Operation: 42-7=35, Resulting Numbers: [33, 35] Generated Node #3: [33, 35] from Operation: 42-7=35 Current State: 68:[33, 35], Operations: ['14+19=33', '42-7=35'] Exploring Operation: 33+35=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 89, 96, 15, 97 ]
24
[ "97-89=8", "15*8=120", "120-96=24" ]
Current State: 24:[89, 96, 15, 97], Operations: [] Exploring Operation: 97-89=8, Resulting Numbers: [96, 15, 8] Generated Node #2: [96, 15, 8] from Operation: 97-89=8 Current State: 24:[96, 15, 8], Operations: ['97-89=8'] Exploring Operation: 15*8=120, Resulting Numbers: [96, 120] Generated Node #3: [96, 120] from Operation: 15*8=120 Current State: 24:[96, 120], Operations: ['97-89=8', '15*8=120'] Exploring Operation: 120-96=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 35, 22, 70, 15 ]
25
[ "22-15=7", "70/7=10", "35-10=25" ]
Current State: 25:[35, 22, 70, 15], Operations: [] Exploring Operation: 22-15=7, Resulting Numbers: [35, 70, 7] Generated Node #2: [35, 70, 7] from Operation: 22-15=7 Current State: 25:[35, 70, 7], Operations: ['22-15=7'] Exploring Operation: 70/7=10, Resulting Numbers: [35, 10] Generated Node #3: [35, 10] from Operation: 70/7=10 Current State: 25:[35, 10], Operations: ['22-15=7', '70/7=10'] Exploring Operation: 35-10=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 46, 31, 87, 75 ]
27
[ "46-31=15", "87-75=12", "15+12=27" ]
Current State: 27:[46, 31, 87, 75], Operations: [] Exploring Operation: 46-31=15, Resulting Numbers: [87, 75, 15] Generated Node #2: [87, 75, 15] from Operation: 46-31=15 Current State: 27:[87, 75, 15], Operations: ['46-31=15'] Exploring Operation: 87-75=12, Resulting Numbers: [15, 12] Generated Node #3: [15, 12] from Operation: 87-75=12 Current State: 27:[15, 12], Operations: ['46-31=15', '87-75=12'] Exploring Operation: 15+12=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 26, 98, 23, 27 ]
76
[ "98-26=72", "27-23=4", "72+4=76" ]
Current State: 76:[26, 98, 23, 27], Operations: [] Exploring Operation: 98-26=72, Resulting Numbers: [23, 27, 72] Generated Node #2: [23, 27, 72] from Operation: 98-26=72 Current State: 76:[23, 27, 72], Operations: ['98-26=72'] Exploring Operation: 27-23=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 27-23=4 Current State: 76:[72, 4], Operations: ['98-26=72', '27-23=4'] Exploring Operation: 72+4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 24, 86, 56, 58 ]
67
[ "58-56=2", "86/2=43", "24+43=67" ]
Current State: 67:[24, 86, 56, 58], Operations: [] Exploring Operation: 58-56=2, Resulting Numbers: [24, 86, 2] Generated Node #2: [24, 86, 2] from Operation: 58-56=2 Current State: 67:[24, 86, 2], Operations: ['58-56=2'] Exploring Operation: 86/2=43, Resulting Numbers: [24, 43] Generated Node #3: [24, 43] from Operation: 86/2=43 Current State: 67:[24, 43], Operations: ['58-56=2', '86/2=43'] Exploring Operation: 24+43=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 39, 6, 74, 79 ]
19
[ "74-39=35", "79+35=114", "114/6=19" ]
Current State: 19:[39, 6, 74, 79], Operations: [] Exploring Operation: 74-39=35, Resulting Numbers: [6, 79, 35] Generated Node #2: [6, 79, 35] from Operation: 74-39=35 Current State: 19:[6, 79, 35], Operations: ['74-39=35'] Exploring Operation: 79+35=114, Resulting Numbers: [6, 114] Generated Node #3: [6, 114] from Operation: 79+35=114 Current State: 19:[6, 114], Operations: ['74-39=35', '79+35=114'] Exploring Operation: 114/6=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 65, 93, 66, 97 ]
68
[ "97-66=31", "93/31=3", "65+3=68" ]
Current State: 68:[65, 93, 66, 97], Operations: [] Exploring Operation: 97-66=31, Resulting Numbers: [65, 93, 31] Generated Node #2: [65, 93, 31] from Operation: 97-66=31 Current State: 68:[65, 93, 31], Operations: ['97-66=31'] Exploring Operation: 93/31=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 93/31=3 Current State: 68:[65, 3], Operations: ['97-66=31', '93/31=3'] Exploring Operation: 65+3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 25, 27, 16, 36 ]
34
[ "27-25=2", "36/2=18", "16+18=34" ]
Current State: 34:[25, 27, 16, 36], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [16, 36, 2] Generated Node #2: [16, 36, 2] from Operation: 27-25=2 Current State: 34:[16, 36, 2], Operations: ['27-25=2'] Exploring Operation: 36/2=18, Resulting Numbers: [16, 18] Generated Node #3: [16, 18] from Operation: 36/2=18 Current State: 34:[16, 18], Operations: ['27-25=2', '36/2=18'] Exploring Operation: 16+18=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 67, 44, 28, 82 ]
57
[ "67+44=111", "82-28=54", "111-54=57" ]
Current State: 57:[67, 44, 28, 82], Operations: [] Exploring Operation: 67+44=111, Resulting Numbers: [28, 82, 111] Generated Node #2: [28, 82, 111] from Operation: 67+44=111 Current State: 57:[28, 82, 111], Operations: ['67+44=111'] Exploring Operation: 82-28=54, Resulting Numbers: [111, 54] Generated Node #3: [111, 54] from Operation: 82-28=54 Current State: 57:[111, 54], Operations: ['67+44=111', '82-28=54'] Exploring Operation: 111-54=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 6, 54, 59, 57 ]
50
[ "54-6=48", "59-57=2", "48+2=50" ]
Current State: 50:[6, 54, 59, 57], Operations: [] Exploring Operation: 54-6=48, Resulting Numbers: [59, 57, 48] Generated Node #2: [59, 57, 48] from Operation: 54-6=48 Current State: 50:[59, 57, 48], Operations: ['54-6=48'] Exploring Operation: 59-57=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 59-57=2 Current State: 50:[48, 2], Operations: ['54-6=48', '59-57=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 9, 30, 57, 63 ]
84
[ "63-57=6", "9*6=54", "30+54=84" ]
Current State: 84:[9, 30, 57, 63], Operations: [] Exploring Operation: 63-57=6, Resulting Numbers: [9, 30, 6] Generated Node #2: [9, 30, 6] from Operation: 63-57=6 Current State: 84:[9, 30, 6], Operations: ['63-57=6'] Exploring Operation: 9*6=54, Resulting Numbers: [30, 54] Generated Node #3: [30, 54] from Operation: 9*6=54 Current State: 84:[30, 54], Operations: ['63-57=6', '9*6=54'] Exploring Operation: 30+54=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 15, 71, 98, 12 ]
54
[ "71-15=56", "98+12=110", "110-56=54" ]
Current State: 54:[15, 71, 98, 12], Operations: [] Exploring Operation: 71-15=56, Resulting Numbers: [98, 12, 56] Generated Node #2: [98, 12, 56] from Operation: 71-15=56 Current State: 54:[98, 12, 56], Operations: ['71-15=56'] Exploring Operation: 98+12=110, Resulting Numbers: [56, 110] Generated Node #3: [56, 110] from Operation: 98+12=110 Current State: 54:[56, 110], Operations: ['71-15=56', '98+12=110'] Exploring Operation: 110-56=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4