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
[ 55, 37, 44, 2 ]
24
[ "55+37=92", "92-44=48", "48/2=24" ]
Current State: 24:[55, 37, 44, 2], Operations: [] Exploring Operation: 55+37=92, Resulting Numbers: [44, 2, 92] Generated Node #2: [44, 2, 92] from Operation: 55+37=92 Current State: 24:[44, 2, 92], Operations: ['55+37=92'] Exploring Operation: 92-44=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 92-44=48 Current State: 24:[2, 48], Operations: ['55+37=92', '92-44=48'] Exploring Operation: 48/2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 58, 3, 79, 82 ]
100
[ "58+3=61", "79+82=161", "161-61=100" ]
Current State: 100:[58, 3, 79, 82], Operations: [] Exploring Operation: 58+3=61, Resulting Numbers: [79, 82, 61] Generated Node #2: [79, 82, 61] from Operation: 58+3=61 Current State: 100:[79, 82, 61], Operations: ['58+3=61'] Exploring Operation: 79+82=161, Resulting Numbers: [61, 161] Generated Node #3: [61, 161] from Operation: 79+82=161 Current State: 100:[61, 161], Operations: ['58+3=61', '79+82=161'] Exploring Operation: 161-61=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 7, 3, 2, 59 ]
12
[ "59-2=57", "57/3=19", "19-7=12" ]
Current State: 12:[7, 3, 2, 59], Operations: [] Exploring Operation: 59-2=57, Resulting Numbers: [7, 3, 57] Generated Node #2: [7, 3, 57] from Operation: 59-2=57 Current State: 12:[7, 3, 57], Operations: ['59-2=57'] Exploring Operation: 57/3=19, Resulting Numbers: [7, 19] Generated Node #3: [7, 19] from Operation: 57/3=19 Current State: 12:[7, 19], Operations: ['59-2=57', '57/3=19'] Exploring Operation: 19-7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 3, 28, 5, 58 ]
97
[ "3+28=31", "5*31=155", "155-58=97" ]
Current State: 97:[3, 28, 5, 58], Operations: [] Exploring Operation: 3+28=31, Resulting Numbers: [5, 58, 31] Generated Node #2: [5, 58, 31] from Operation: 3+28=31 Current State: 97:[5, 58, 31], Operations: ['3+28=31'] Exploring Operation: 5*31=155, Resulting Numbers: [58, 155] Generated Node #3: [58, 155] from Operation: 5*31=155 Current State: 97:[58, 155], Operations: ['3+28=31', '5*31=155'] Exploring Operation: 155-58=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 83, 64, 61, 37 ]
43
[ "83-64=19", "61-37=24", "19+24=43" ]
Current State: 43:[83, 64, 61, 37], Operations: [] Exploring Operation: 83-64=19, Resulting Numbers: [61, 37, 19] Generated Node #2: [61, 37, 19] from Operation: 83-64=19 Current State: 43:[61, 37, 19], Operations: ['83-64=19'] Exploring Operation: 61-37=24, Resulting Numbers: [19, 24] Generated Node #3: [19, 24] from Operation: 61-37=24 Current State: 43:[19, 24], Operations: ['83-64=19', '61-37=24'] Exploring Operation: 19+24=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 41, 72, 34, 6 ]
30
[ "41-34=7", "6*7=42", "72-42=30" ]
Current State: 30:[41, 72, 34, 6], Operations: [] Exploring Operation: 41-34=7, Resulting Numbers: [72, 6, 7] Generated Node #2: [72, 6, 7] from Operation: 41-34=7 Current State: 30:[72, 6, 7], Operations: ['41-34=7'] Exploring Operation: 6*7=42, Resulting Numbers: [72, 42] Generated Node #3: [72, 42] from Operation: 6*7=42 Current State: 30:[72, 42], Operations: ['41-34=7', '6*7=42'] Exploring Operation: 72-42=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 54, 62, 75, 66 ]
25
[ "54+62=116", "75+66=141", "141-116=25" ]
Current State: 25:[54, 62, 75, 66], Operations: [] Exploring Operation: 54+62=116, Resulting Numbers: [75, 66, 116] Generated Node #2: [75, 66, 116] from Operation: 54+62=116 Current State: 25:[75, 66, 116], Operations: ['54+62=116'] Exploring Operation: 75+66=141, Resulting Numbers: [116, 141] Generated Node #3: [116, 141] from Operation: 75+66=141 Current State: 25:[116, 141], Operations: ['54+62=116', '75+66=141'] Exploring Operation: 141-116=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 83, 40, 84, 53 ]
14
[ "83+40=123", "84+53=137", "137-123=14" ]
Current State: 14:[83, 40, 84, 53], Operations: [] Exploring Operation: 83+40=123, Resulting Numbers: [84, 53, 123] Generated Node #2: [84, 53, 123] from Operation: 83+40=123 Current State: 14:[84, 53, 123], Operations: ['83+40=123'] Exploring Operation: 84+53=137, Resulting Numbers: [123, 137] Generated Node #3: [123, 137] from Operation: 84+53=137 Current State: 14:[123, 137], Operations: ['83+40=123', '84+53=137'] Exploring Operation: 137-123=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 48, 5, 7, 93 ]
10
[ "93-48=45", "5*7=35", "45-35=10" ]
Current State: 10:[48, 5, 7, 93], Operations: [] Exploring Operation: 93-48=45, Resulting Numbers: [5, 7, 45] Generated Node #2: [5, 7, 45] from Operation: 93-48=45 Current State: 10:[5, 7, 45], Operations: ['93-48=45'] Exploring Operation: 5*7=35, Resulting Numbers: [45, 35] Generated Node #3: [45, 35] from Operation: 5*7=35 Current State: 10:[45, 35], Operations: ['93-48=45', '5*7=35'] Exploring Operation: 45-35=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 66, 70, 18, 72 ]
51
[ "72-70=2", "66/2=33", "18+33=51" ]
Current State: 51:[66, 70, 18, 72], Operations: [] Exploring Operation: 72-70=2, Resulting Numbers: [66, 18, 2] Generated Node #2: [66, 18, 2] from Operation: 72-70=2 Current State: 51:[66, 18, 2], Operations: ['72-70=2'] Exploring Operation: 66/2=33, Resulting Numbers: [18, 33] Generated Node #3: [18, 33] from Operation: 66/2=33 Current State: 51:[18, 33], Operations: ['72-70=2', '66/2=33'] Exploring Operation: 18+33=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 58, 2, 41, 2 ]
99
[ "58+2=60", "41-2=39", "60+39=99" ]
Current State: 99:[58, 2, 41, 2], Operations: [] Exploring Operation: 58+2=60, Resulting Numbers: [41, 60] Generated Node #2: [41, 60] from Operation: 58+2=60 Current State: 99:[41, 60], Operations: ['58+2=60'] Exploring Operation: 41-2=39, Resulting Numbers: [60, 39] Generated Node #3: [60, 39] from Operation: 41-2=39 Current State: 99:[60, 39], Operations: ['58+2=60', '41-2=39'] Exploring Operation: 60+39=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 60, 34, 85, 99 ]
40
[ "60-34=26", "99-85=14", "26+14=40" ]
Current State: 40:[60, 34, 85, 99], Operations: [] Exploring Operation: 60-34=26, Resulting Numbers: [85, 99, 26] Generated Node #2: [85, 99, 26] from Operation: 60-34=26 Current State: 40:[85, 99, 26], Operations: ['60-34=26'] Exploring Operation: 99-85=14, Resulting Numbers: [26, 14] Generated Node #3: [26, 14] from Operation: 99-85=14 Current State: 40:[26, 14], Operations: ['60-34=26', '99-85=14'] Exploring Operation: 26+14=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 40, 10, 39, 84 ]
75
[ "40-10=30", "84-39=45", "30+45=75" ]
Current State: 75:[40, 10, 39, 84], Operations: [] Exploring Operation: 40-10=30, Resulting Numbers: [39, 84, 30] Generated Node #2: [39, 84, 30] from Operation: 40-10=30 Current State: 75:[39, 84, 30], Operations: ['40-10=30'] Exploring Operation: 84-39=45, Resulting Numbers: [30, 45] Generated Node #3: [30, 45] from Operation: 84-39=45 Current State: 75:[30, 45], Operations: ['40-10=30', '84-39=45'] Exploring Operation: 30+45=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 7, 41, 22, 23 ]
34
[ "41-7=34", "23-22=1", "34*1=34" ]
Current State: 34:[7, 41, 22, 23], Operations: [] Exploring Operation: 41-7=34, Resulting Numbers: [22, 23, 34] Generated Node #2: [22, 23, 34] from Operation: 41-7=34 Current State: 34:[22, 23, 34], Operations: ['41-7=34'] Exploring Operation: 23-22=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 23-22=1 Current State: 34:[34, 1], Operations: ['41-7=34', '23-22=1'] Exploring Operation: 34*1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 90, 21, 39, 92 ]
16
[ "90-21=69", "92-39=53", "69-53=16" ]
Current State: 16:[90, 21, 39, 92], Operations: [] Exploring Operation: 90-21=69, Resulting Numbers: [39, 92, 69] Generated Node #2: [39, 92, 69] from Operation: 90-21=69 Current State: 16:[39, 92, 69], Operations: ['90-21=69'] Exploring Operation: 92-39=53, Resulting Numbers: [69, 53] Generated Node #3: [69, 53] from Operation: 92-39=53 Current State: 16:[69, 53], Operations: ['90-21=69', '92-39=53'] Exploring Operation: 69-53=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 26, 74, 18, 31 ]
87
[ "26+74=100", "31-18=13", "100-13=87" ]
Current State: 87:[26, 74, 18, 31], Operations: [] Exploring Operation: 26+74=100, Resulting Numbers: [18, 31, 100] Generated Node #2: [18, 31, 100] from Operation: 26+74=100 Current State: 87:[18, 31, 100], Operations: ['26+74=100'] Exploring Operation: 31-18=13, Resulting Numbers: [100, 13] Generated Node #3: [100, 13] from Operation: 31-18=13 Current State: 87:[100, 13], Operations: ['26+74=100', '31-18=13'] Exploring Operation: 100-13=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 42, 1, 64, 77 ]
100
[ "42-1=41", "64+77=141", "141-41=100" ]
Current State: 100:[42, 1, 64, 77], Operations: [] Exploring Operation: 42-1=41, Resulting Numbers: [64, 77, 41] Generated Node #2: [64, 77, 41] from Operation: 42-1=41 Current State: 100:[64, 77, 41], Operations: ['42-1=41'] Exploring Operation: 64+77=141, Resulting Numbers: [41, 141] Generated Node #3: [41, 141] from Operation: 64+77=141 Current State: 100:[41, 141], Operations: ['42-1=41', '64+77=141'] Exploring Operation: 141-41=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 44, 9, 47, 84 ]
96
[ "44-9=35", "47+84=131", "131-35=96" ]
Current State: 96:[44, 9, 47, 84], Operations: [] Exploring Operation: 44-9=35, Resulting Numbers: [47, 84, 35] Generated Node #2: [47, 84, 35] from Operation: 44-9=35 Current State: 96:[47, 84, 35], Operations: ['44-9=35'] Exploring Operation: 47+84=131, Resulting Numbers: [35, 131] Generated Node #3: [35, 131] from Operation: 47+84=131 Current State: 96:[35, 131], Operations: ['44-9=35', '47+84=131'] Exploring Operation: 131-35=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 29, 83, 70, 75 ]
49
[ "83-29=54", "75-70=5", "54-5=49" ]
Current State: 49:[29, 83, 70, 75], Operations: [] Exploring Operation: 83-29=54, Resulting Numbers: [70, 75, 54] Generated Node #2: [70, 75, 54] from Operation: 83-29=54 Current State: 49:[70, 75, 54], Operations: ['83-29=54'] Exploring Operation: 75-70=5, Resulting Numbers: [54, 5] Generated Node #3: [54, 5] from Operation: 75-70=5 Current State: 49:[54, 5], Operations: ['83-29=54', '75-70=5'] Exploring Operation: 54-5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 24, 70, 12, 61 ]
79
[ "24*70=1680", "1680/12=140", "140-61=79" ]
Current State: 79:[24, 70, 12, 61], Operations: [] Exploring Operation: 24*70=1680, Resulting Numbers: [12, 61, 1680] Generated Node #2: [12, 61, 1680] from Operation: 24*70=1680 Current State: 79:[12, 61, 1680], Operations: ['24*70=1680'] Exploring Operation: 1680/12=140, Resulting Numbers: [61, 140] Generated Node #3: [61, 140] from Operation: 1680/12=140 Current State: 79:[61, 140], Operations: ['24*70=1680', '1680/12=140'] Exploring Operation: 140-61=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 3, 51, 42, 73 ]
48
[ "51/3=17", "73-42=31", "17+31=48" ]
Current State: 48:[3, 51, 42, 73], Operations: [] Exploring Operation: 51/3=17, Resulting Numbers: [42, 73, 17] Generated Node #2: [42, 73, 17] from Operation: 51/3=17 Current State: 48:[42, 73, 17], Operations: ['51/3=17'] Exploring Operation: 73-42=31, Resulting Numbers: [17, 31] Generated Node #3: [17, 31] from Operation: 73-42=31 Current State: 48:[17, 31], Operations: ['51/3=17', '73-42=31'] Exploring Operation: 17+31=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 29, 87, 78, 73 ]
47
[ "87/29=3", "78/3=26", "73-26=47" ]
Current State: 47:[29, 87, 78, 73], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [78, 73, 3] Generated Node #2: [78, 73, 3] from Operation: 87/29=3 Current State: 47:[78, 73, 3], Operations: ['87/29=3'] Exploring Operation: 78/3=26, Resulting Numbers: [73, 26] Generated Node #3: [73, 26] from Operation: 78/3=26 Current State: 47:[73, 26], Operations: ['87/29=3', '78/3=26'] Exploring Operation: 73-26=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 7, 60, 11, 84 ]
12
[ "7*84=588", "60-11=49", "588/49=12" ]
Current State: 12:[7, 60, 11, 84], Operations: [] Exploring Operation: 7*84=588, Resulting Numbers: [60, 11, 588] Generated Node #2: [60, 11, 588] from Operation: 7*84=588 Current State: 12:[60, 11, 588], Operations: ['7*84=588'] Exploring Operation: 60-11=49, Resulting Numbers: [588, 49] Generated Node #3: [588, 49] from Operation: 60-11=49 Current State: 12:[588, 49], Operations: ['7*84=588', '60-11=49'] Exploring Operation: 588/49=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 37, 78, 43, 48 ]
11
[ "48-37=11", "78+43=121", "121/11=11" ]
Current State: 11:[37, 78, 43, 48], Operations: [] Exploring Operation: 48-37=11, Resulting Numbers: [78, 43, 11] Generated Node #2: [78, 43, 11] from Operation: 48-37=11 Current State: 11:[78, 43, 11], Operations: ['48-37=11'] Exploring Operation: 78+43=121, Resulting Numbers: [11, 121] Generated Node #3: [11, 121] from Operation: 78+43=121 Current State: 11:[11, 121], Operations: ['48-37=11', '78+43=121'] Exploring Operation: 121/11=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 4, 22, 62, 40 ]
43
[ "4+62=66", "66/22=3", "40+3=43" ]
Current State: 43:[4, 22, 62, 40], Operations: [] Exploring Operation: 4+62=66, Resulting Numbers: [22, 40, 66] Generated Node #2: [22, 40, 66] from Operation: 4+62=66 Current State: 43:[22, 40, 66], Operations: ['4+62=66'] Exploring Operation: 66/22=3, Resulting Numbers: [40, 3] Generated Node #3: [40, 3] from Operation: 66/22=3 Current State: 43:[40, 3], Operations: ['4+62=66', '66/22=3'] Exploring Operation: 40+3=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 76, 83, 8, 93 ]
53
[ "93-76=17", "8*17=136", "136-83=53" ]
Current State: 53:[76, 83, 8, 93], Operations: [] Exploring Operation: 93-76=17, Resulting Numbers: [83, 8, 17] Generated Node #2: [83, 8, 17] from Operation: 93-76=17 Current State: 53:[83, 8, 17], Operations: ['93-76=17'] Exploring Operation: 8*17=136, Resulting Numbers: [83, 136] Generated Node #3: [83, 136] from Operation: 8*17=136 Current State: 53:[83, 136], Operations: ['93-76=17', '8*17=136'] Exploring Operation: 136-83=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 73, 50, 52, 79 ]
76
[ "73+79=152", "52-50=2", "152/2=76" ]
Current State: 76:[73, 50, 52, 79], Operations: [] Exploring Operation: 73+79=152, Resulting Numbers: [50, 52, 152] Generated Node #2: [50, 52, 152] from Operation: 73+79=152 Current State: 76:[50, 52, 152], Operations: ['73+79=152'] Exploring Operation: 52-50=2, Resulting Numbers: [152, 2] Generated Node #3: [152, 2] from Operation: 52-50=2 Current State: 76:[152, 2], Operations: ['73+79=152', '52-50=2'] Exploring Operation: 152/2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 7, 77, 95, 54 ]
43
[ "7+77=84", "95-54=41", "84-41=43" ]
Current State: 43:[7, 77, 95, 54], Operations: [] Exploring Operation: 7+77=84, Resulting Numbers: [95, 54, 84] Generated Node #2: [95, 54, 84] from Operation: 7+77=84 Current State: 43:[95, 54, 84], Operations: ['7+77=84'] Exploring Operation: 95-54=41, Resulting Numbers: [84, 41] Generated Node #3: [84, 41] from Operation: 95-54=41 Current State: 43:[84, 41], Operations: ['7+77=84', '95-54=41'] Exploring Operation: 84-41=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 77, 64, 86, 83 ]
10
[ "77-64=13", "86-83=3", "13-3=10" ]
Current State: 10:[77, 64, 86, 83], Operations: [] Exploring Operation: 77-64=13, Resulting Numbers: [86, 83, 13] Generated Node #2: [86, 83, 13] from Operation: 77-64=13 Current State: 10:[86, 83, 13], Operations: ['77-64=13'] Exploring Operation: 86-83=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 86-83=3 Current State: 10:[13, 3], Operations: ['77-64=13', '86-83=3'] Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 13, 22, 31, 65 ]
91
[ "31*65=2015", "2015-13=2002", "2002/22=91" ]
Current State: 91:[13, 22, 31, 65], Operations: [] Exploring Operation: 31*65=2015, Resulting Numbers: [13, 22, 2015] Generated Node #2: [13, 22, 2015] from Operation: 31*65=2015 Current State: 91:[13, 22, 2015], Operations: ['31*65=2015'] Exploring Operation: 2015-13=2002, Resulting Numbers: [22, 2002] Generated Node #3: [22, 2002] from Operation: 2015-13=2002 Current State: 91:[22, 2002], Operations: ['31*65=2015', '2015-13=2002'] Exploring Operation: 2002/22=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 39, 41, 14, 92 ]
39
[ "41-39=2", "92-14=78", "78/2=39" ]
Current State: 39:[39, 41, 14, 92], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [14, 92, 2] Generated Node #2: [14, 92, 2] from Operation: 41-39=2 Current State: 39:[14, 92, 2], Operations: ['41-39=2'] Exploring Operation: 92-14=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 92-14=78 Current State: 39:[2, 78], Operations: ['41-39=2', '92-14=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 79, 7, 9, 4 ]
73
[ "79+7=86", "9+4=13", "86-13=73" ]
Current State: 73:[79, 7, 9, 4], Operations: [] Exploring Operation: 79+7=86, Resulting Numbers: [9, 4, 86] Generated Node #2: [9, 4, 86] from Operation: 79+7=86 Current State: 73:[9, 4, 86], Operations: ['79+7=86'] Exploring Operation: 9+4=13, Resulting Numbers: [86, 13] Generated Node #3: [86, 13] from Operation: 9+4=13 Current State: 73:[86, 13], Operations: ['79+7=86', '9+4=13'] Exploring Operation: 86-13=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 49, 15, 75, 85 ]
44
[ "49-15=34", "85-75=10", "34+10=44" ]
Current State: 44:[49, 15, 75, 85], Operations: [] Exploring Operation: 49-15=34, Resulting Numbers: [75, 85, 34] Generated Node #2: [75, 85, 34] from Operation: 49-15=34 Current State: 44:[75, 85, 34], Operations: ['49-15=34'] Exploring Operation: 85-75=10, Resulting Numbers: [34, 10] Generated Node #3: [34, 10] from Operation: 85-75=10 Current State: 44:[34, 10], Operations: ['49-15=34', '85-75=10'] Exploring Operation: 34+10=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 32, 10, 88, 16 ]
54
[ "32/16=2", "88/2=44", "10+44=54" ]
Current State: 54:[32, 10, 88, 16], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [10, 88, 2] Generated Node #2: [10, 88, 2] from Operation: 32/16=2 Current State: 54:[10, 88, 2], Operations: ['32/16=2'] Exploring Operation: 88/2=44, Resulting Numbers: [10, 44] Generated Node #3: [10, 44] from Operation: 88/2=44 Current State: 54:[10, 44], Operations: ['32/16=2', '88/2=44'] Exploring Operation: 10+44=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 9, 19, 21, 45 ]
74
[ "45/9=5", "19*5=95", "95-21=74" ]
Current State: 74:[9, 19, 21, 45], Operations: [] Exploring Operation: 45/9=5, Resulting Numbers: [19, 21, 5] Generated Node #2: [19, 21, 5] from Operation: 45/9=5 Current State: 74:[19, 21, 5], Operations: ['45/9=5'] Exploring Operation: 19*5=95, Resulting Numbers: [21, 95] Generated Node #3: [21, 95] from Operation: 19*5=95 Current State: 74:[21, 95], Operations: ['45/9=5', '19*5=95'] Exploring Operation: 95-21=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 75, 92, 25, 64 ]
72
[ "92-75=17", "25+64=89", "89-17=72" ]
Current State: 72:[75, 92, 25, 64], Operations: [] Exploring Operation: 92-75=17, Resulting Numbers: [25, 64, 17] Generated Node #2: [25, 64, 17] from Operation: 92-75=17 Current State: 72:[25, 64, 17], Operations: ['92-75=17'] Exploring Operation: 25+64=89, Resulting Numbers: [17, 89] Generated Node #3: [17, 89] from Operation: 25+64=89 Current State: 72:[17, 89], Operations: ['92-75=17', '25+64=89'] Exploring Operation: 89-17=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 4, 16, 76, 52 ]
87
[ "76/4=19", "16+52=68", "19+68=87" ]
Current State: 87:[4, 16, 76, 52], Operations: [] Exploring Operation: 76/4=19, Resulting Numbers: [16, 52, 19] Generated Node #2: [16, 52, 19] from Operation: 76/4=19 Current State: 87:[16, 52, 19], Operations: ['76/4=19'] Exploring Operation: 16+52=68, Resulting Numbers: [19, 68] Generated Node #3: [19, 68] from Operation: 16+52=68 Current State: 87:[19, 68], Operations: ['76/4=19', '16+52=68'] Exploring Operation: 19+68=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 9, 90, 92, 63 ]
14
[ "63/9=7", "92-90=2", "7*2=14" ]
Current State: 14:[9, 90, 92, 63], Operations: [] Exploring Operation: 63/9=7, Resulting Numbers: [90, 92, 7] Generated Node #2: [90, 92, 7] from Operation: 63/9=7 Current State: 14:[90, 92, 7], Operations: ['63/9=7'] Exploring Operation: 92-90=2, Resulting Numbers: [7, 2] Generated Node #3: [7, 2] from Operation: 92-90=2 Current State: 14:[7, 2], Operations: ['63/9=7', '92-90=2'] Exploring Operation: 7*2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 13, 12, 80, 23 ]
77
[ "13+23=36", "36/12=3", "80-3=77" ]
Current State: 77:[13, 12, 80, 23], Operations: [] Exploring Operation: 13+23=36, Resulting Numbers: [12, 80, 36] Generated Node #2: [12, 80, 36] from Operation: 13+23=36 Current State: 77:[12, 80, 36], Operations: ['13+23=36'] Exploring Operation: 36/12=3, Resulting Numbers: [80, 3] Generated Node #3: [80, 3] from Operation: 36/12=3 Current State: 77:[80, 3], Operations: ['13+23=36', '36/12=3'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 45, 10, 75, 28 ]
34
[ "45*10=450", "450/75=6", "28+6=34" ]
Current State: 34:[45, 10, 75, 28], Operations: [] Exploring Operation: 45*10=450, Resulting Numbers: [75, 28, 450] Generated Node #2: [75, 28, 450] from Operation: 45*10=450 Current State: 34:[75, 28, 450], Operations: ['45*10=450'] Exploring Operation: 450/75=6, Resulting Numbers: [28, 6] Generated Node #3: [28, 6] from Operation: 450/75=6 Current State: 34:[28, 6], Operations: ['45*10=450', '450/75=6'] Exploring Operation: 28+6=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 69, 56, 3, 39 ]
89
[ "69+56=125", "39-3=36", "125-36=89" ]
Current State: 89:[69, 56, 3, 39], Operations: [] Exploring Operation: 69+56=125, Resulting Numbers: [3, 39, 125] Generated Node #2: [3, 39, 125] from Operation: 69+56=125 Current State: 89:[3, 39, 125], Operations: ['69+56=125'] Exploring Operation: 39-3=36, Resulting Numbers: [125, 36] Generated Node #3: [125, 36] from Operation: 39-3=36 Current State: 89:[125, 36], Operations: ['69+56=125', '39-3=36'] Exploring Operation: 125-36=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 3, 59, 39, 21 ]
61
[ "3+39=42", "42/21=2", "59+2=61" ]
Current State: 61:[3, 59, 39, 21], Operations: [] Exploring Operation: 3+39=42, Resulting Numbers: [59, 21, 42] Generated Node #2: [59, 21, 42] from Operation: 3+39=42 Current State: 61:[59, 21, 42], Operations: ['3+39=42'] Exploring Operation: 42/21=2, Resulting Numbers: [59, 2] Generated Node #3: [59, 2] from Operation: 42/21=2 Current State: 61:[59, 2], Operations: ['3+39=42', '42/21=2'] Exploring Operation: 59+2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 65, 28, 87, 32 ]
92
[ "65-28=37", "87-32=55", "37+55=92" ]
Current State: 92:[65, 28, 87, 32], Operations: [] Exploring Operation: 65-28=37, Resulting Numbers: [87, 32, 37] Generated Node #2: [87, 32, 37] from Operation: 65-28=37 Current State: 92:[87, 32, 37], Operations: ['65-28=37'] Exploring Operation: 87-32=55, Resulting Numbers: [37, 55] Generated Node #3: [37, 55] from Operation: 87-32=55 Current State: 92:[37, 55], Operations: ['65-28=37', '87-32=55'] Exploring Operation: 37+55=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 99, 11, 34, 17 ]
93
[ "99+11=110", "34-17=17", "110-17=93" ]
Current State: 93:[99, 11, 34, 17], Operations: [] Exploring Operation: 99+11=110, Resulting Numbers: [34, 17, 110] Generated Node #2: [34, 17, 110] from Operation: 99+11=110 Current State: 93:[34, 17, 110], Operations: ['99+11=110'] Exploring Operation: 34-17=17, Resulting Numbers: [110, 17] Generated Node #3: [110, 17] from Operation: 34-17=17 Current State: 93:[110, 17], Operations: ['99+11=110', '34-17=17'] Exploring Operation: 110-17=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 3, 52, 9, 31 ]
32
[ "3*31=93", "52+9=61", "93-61=32" ]
Current State: 32:[3, 52, 9, 31], Operations: [] Exploring Operation: 3*31=93, Resulting Numbers: [52, 9, 93] Generated Node #2: [52, 9, 93] from Operation: 3*31=93 Current State: 32:[52, 9, 93], Operations: ['3*31=93'] Exploring Operation: 52+9=61, Resulting Numbers: [93, 61] Generated Node #3: [93, 61] from Operation: 52+9=61 Current State: 32:[93, 61], Operations: ['3*31=93', '52+9=61'] Exploring Operation: 93-61=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 92, 81, 55, 11 ]
33
[ "92-81=11", "55-11=44", "44-11=33" ]
Current State: 33:[92, 81, 55, 11], Operations: [] Exploring Operation: 92-81=11, Resulting Numbers: [55, 11, 11] Generated Node #2: [55, 11, 11] from Operation: 92-81=11 Current State: 33:[55, 11, 11], Operations: ['92-81=11'] Exploring Operation: 55-11=44, Resulting Numbers: [44] 44,33 equal: Goal Reached Exploring Operation: 44-11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 7, 34, 24, 32 ]
10
[ "34-32=2", "7*2=14", "24-14=10" ]
Current State: 10:[7, 34, 24, 32], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [7, 24, 2] Generated Node #2: [7, 24, 2] from Operation: 34-32=2 Current State: 10:[7, 24, 2], Operations: ['34-32=2'] Exploring Operation: 7*2=14, Resulting Numbers: [24, 14] Generated Node #3: [24, 14] from Operation: 7*2=14 Current State: 10:[24, 14], Operations: ['34-32=2', '7*2=14'] Exploring Operation: 24-14=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 27, 75, 28, 91 ]
71
[ "75-27=48", "28+91=119", "119-48=71" ]
Current State: 71:[27, 75, 28, 91], Operations: [] Exploring Operation: 75-27=48, Resulting Numbers: [28, 91, 48] Generated Node #2: [28, 91, 48] from Operation: 75-27=48 Current State: 71:[28, 91, 48], Operations: ['75-27=48'] Exploring Operation: 28+91=119, Resulting Numbers: [48, 119] Generated Node #3: [48, 119] from Operation: 28+91=119 Current State: 71:[48, 119], Operations: ['75-27=48', '28+91=119'] Exploring Operation: 119-48=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 12, 30, 29, 71 ]
24
[ "30-12=18", "71-29=42", "42-18=24" ]
Current State: 24:[12, 30, 29, 71], Operations: [] Exploring Operation: 30-12=18, Resulting Numbers: [29, 71, 18] Generated Node #2: [29, 71, 18] from Operation: 30-12=18 Current State: 24:[29, 71, 18], Operations: ['30-12=18'] Exploring Operation: 71-29=42, Resulting Numbers: [18, 42] Generated Node #3: [18, 42] from Operation: 71-29=42 Current State: 24:[18, 42], Operations: ['30-12=18', '71-29=42'] Exploring Operation: 42-18=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 22, 16, 9, 51 ]
22
[ "22+16=38", "9+51=60", "60-38=22" ]
Current State: 22:[22, 16, 9, 51], Operations: [] Exploring Operation: 22+16=38, Resulting Numbers: [9, 51, 38] Generated Node #2: [9, 51, 38] from Operation: 22+16=38 Current State: 22:[9, 51, 38], Operations: ['22+16=38'] Exploring Operation: 9+51=60, Resulting Numbers: [38, 60] Generated Node #3: [38, 60] from Operation: 9+51=60 Current State: 22:[38, 60], Operations: ['22+16=38', '9+51=60'] Exploring Operation: 60-38=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 18, 28, 35, 33 ]
38
[ "35-33=2", "28*2=56", "56-18=38" ]
Current State: 38:[18, 28, 35, 33], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [18, 28, 2] Generated Node #2: [18, 28, 2] from Operation: 35-33=2 Current State: 38:[18, 28, 2], Operations: ['35-33=2'] Exploring Operation: 28*2=56, Resulting Numbers: [18, 56] Generated Node #3: [18, 56] from Operation: 28*2=56 Current State: 38:[18, 56], Operations: ['35-33=2', '28*2=56'] Exploring Operation: 56-18=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 28, 53, 18, 79 ]
86
[ "53-28=25", "79-18=61", "25+61=86" ]
Current State: 86:[28, 53, 18, 79], Operations: [] Exploring Operation: 53-28=25, Resulting Numbers: [18, 79, 25] Generated Node #2: [18, 79, 25] from Operation: 53-28=25 Current State: 86:[18, 79, 25], Operations: ['53-28=25'] Exploring Operation: 79-18=61, Resulting Numbers: [25, 61] Generated Node #3: [25, 61] from Operation: 79-18=61 Current State: 86:[25, 61], Operations: ['53-28=25', '79-18=61'] Exploring Operation: 25+61=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 93, 59, 20, 87 ]
73
[ "93-59=34", "20+87=107", "107-34=73" ]
Current State: 73:[93, 59, 20, 87], Operations: [] Exploring Operation: 93-59=34, Resulting Numbers: [20, 87, 34] Generated Node #2: [20, 87, 34] from Operation: 93-59=34 Current State: 73:[20, 87, 34], Operations: ['93-59=34'] Exploring Operation: 20+87=107, Resulting Numbers: [34, 107] Generated Node #3: [34, 107] from Operation: 20+87=107 Current State: 73:[34, 107], Operations: ['93-59=34', '20+87=107'] Exploring Operation: 107-34=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 27, 10, 11, 77 ]
97
[ "10*77=770", "770/11=70", "27+70=97" ]
Current State: 97:[27, 10, 11, 77], Operations: [] Exploring Operation: 10*77=770, Resulting Numbers: [27, 11, 770] Generated Node #2: [27, 11, 770] from Operation: 10*77=770 Current State: 97:[27, 11, 770], Operations: ['10*77=770'] Exploring Operation: 770/11=70, Resulting Numbers: [27, 70] Generated Node #3: [27, 70] from Operation: 770/11=70 Current State: 97:[27, 70], Operations: ['10*77=770', '770/11=70'] Exploring Operation: 27+70=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 38, 18, 9, 67 ]
57
[ "38+67=105", "18*9=162", "162-105=57" ]
Current State: 57:[38, 18, 9, 67], Operations: [] Exploring Operation: 38+67=105, Resulting Numbers: [18, 9, 105] Generated Node #2: [18, 9, 105] from Operation: 38+67=105 Current State: 57:[18, 9, 105], Operations: ['38+67=105'] Exploring Operation: 18*9=162, Resulting Numbers: [105, 162] Generated Node #3: [105, 162] from Operation: 18*9=162 Current State: 57:[105, 162], Operations: ['38+67=105', '18*9=162'] Exploring Operation: 162-105=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 93, 33, 74, 15 ]
29
[ "93-33=60", "74+15=89", "89-60=29" ]
Current State: 29:[93, 33, 74, 15], Operations: [] Exploring Operation: 93-33=60, Resulting Numbers: [74, 15, 60] Generated Node #2: [74, 15, 60] from Operation: 93-33=60 Current State: 29:[74, 15, 60], Operations: ['93-33=60'] Exploring Operation: 74+15=89, Resulting Numbers: [60, 89] Generated Node #3: [60, 89] from Operation: 74+15=89 Current State: 29:[60, 89], Operations: ['93-33=60', '74+15=89'] Exploring Operation: 89-60=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 39, 1, 60, 34 ]
65
[ "39*1=39", "60-34=26", "39+26=65" ]
Current State: 65:[39, 1, 60, 34], Operations: [] Exploring Operation: 39*1=39, Resulting Numbers: [60, 34, 39] Generated Node #2: [60, 34, 39] from Operation: 39*1=39 Current State: 65:[60, 34, 39], Operations: ['39*1=39'] Exploring Operation: 60-34=26, Resulting Numbers: [39, 26] Generated Node #3: [39, 26] from Operation: 60-34=26 Current State: 65:[39, 26], Operations: ['39*1=39', '60-34=26'] Exploring Operation: 39+26=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 39, 32, 67, 92 ]
46
[ "39+32=71", "92-67=25", "71-25=46" ]
Current State: 46:[39, 32, 67, 92], Operations: [] Exploring Operation: 39+32=71, Resulting Numbers: [67, 92, 71] Generated Node #2: [67, 92, 71] from Operation: 39+32=71 Current State: 46:[67, 92, 71], Operations: ['39+32=71'] Exploring Operation: 92-67=25, Resulting Numbers: [71, 25] Generated Node #3: [71, 25] from Operation: 92-67=25 Current State: 46:[71, 25], Operations: ['39+32=71', '92-67=25'] Exploring Operation: 71-25=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 19, 67, 40, 9 ]
10
[ "19*40=760", "67+9=76", "760/76=10" ]
Current State: 10:[19, 67, 40, 9], Operations: [] Exploring Operation: 19*40=760, Resulting Numbers: [67, 9, 760] Generated Node #2: [67, 9, 760] from Operation: 19*40=760 Current State: 10:[67, 9, 760], Operations: ['19*40=760'] Exploring Operation: 67+9=76, Resulting Numbers: [760, 76] Generated Node #3: [760, 76] from Operation: 67+9=76 Current State: 10:[760, 76], Operations: ['19*40=760', '67+9=76'] Exploring Operation: 760/76=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 46, 15, 74, 44 ]
14
[ "46*15=690", "690-74=616", "616/44=14" ]
Current State: 14:[46, 15, 74, 44], Operations: [] Exploring Operation: 46*15=690, Resulting Numbers: [74, 44, 690] Generated Node #2: [74, 44, 690] from Operation: 46*15=690 Current State: 14:[74, 44, 690], Operations: ['46*15=690'] Exploring Operation: 690-74=616, Resulting Numbers: [44, 616] Generated Node #3: [44, 616] from Operation: 690-74=616 Current State: 14:[44, 616], Operations: ['46*15=690', '690-74=616'] Exploring Operation: 616/44=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 13, 60, 18, 17 ]
12
[ "60-13=47", "18+17=35", "47-35=12" ]
Current State: 12:[13, 60, 18, 17], Operations: [] Exploring Operation: 60-13=47, Resulting Numbers: [18, 17, 47] Generated Node #2: [18, 17, 47] from Operation: 60-13=47 Current State: 12:[18, 17, 47], Operations: ['60-13=47'] Exploring Operation: 18+17=35, Resulting Numbers: [47, 35] Generated Node #3: [47, 35] from Operation: 18+17=35 Current State: 12:[47, 35], Operations: ['60-13=47', '18+17=35'] Exploring Operation: 47-35=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 98, 23, 11, 17 ]
28
[ "98+23=121", "121/11=11", "17+11=28" ]
Current State: 28:[98, 23, 11, 17], Operations: [] Exploring Operation: 98+23=121, Resulting Numbers: [11, 17, 121] Generated Node #2: [11, 17, 121] from Operation: 98+23=121 Current State: 28:[11, 17, 121], Operations: ['98+23=121'] Exploring Operation: 121/11=11, Resulting Numbers: [17, 11] Generated Node #3: [17, 11] from Operation: 121/11=11 Current State: 28:[17, 11], Operations: ['98+23=121', '121/11=11'] Exploring Operation: 17+11=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 10, 3, 68, 73 ]
61
[ "73-3=70", "70/10=7", "68-7=61" ]
Current State: 61:[10, 3, 68, 73], Operations: [] Exploring Operation: 73-3=70, Resulting Numbers: [10, 68, 70] Generated Node #2: [10, 68, 70] from Operation: 73-3=70 Current State: 61:[10, 68, 70], Operations: ['73-3=70'] Exploring Operation: 70/10=7, Resulting Numbers: [68, 7] Generated Node #3: [68, 7] from Operation: 70/10=7 Current State: 61:[68, 7], Operations: ['73-3=70', '70/10=7'] Exploring Operation: 68-7=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 60, 61, 39, 20 ]
62
[ "60+61=121", "39+20=59", "121-59=62" ]
Current State: 62:[60, 61, 39, 20], Operations: [] Exploring Operation: 60+61=121, Resulting Numbers: [39, 20, 121] Generated Node #2: [39, 20, 121] from Operation: 60+61=121 Current State: 62:[39, 20, 121], Operations: ['60+61=121'] Exploring Operation: 39+20=59, Resulting Numbers: [121, 59] Generated Node #3: [121, 59] from Operation: 39+20=59 Current State: 62:[121, 59], Operations: ['60+61=121', '39+20=59'] Exploring Operation: 121-59=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 27, 19, 96, 23 ]
22
[ "96-27=69", "69/23=3", "19+3=22" ]
Current State: 22:[27, 19, 96, 23], Operations: [] Exploring Operation: 96-27=69, Resulting Numbers: [19, 23, 69] Generated Node #2: [19, 23, 69] from Operation: 96-27=69 Current State: 22:[19, 23, 69], Operations: ['96-27=69'] Exploring Operation: 69/23=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 69/23=3 Current State: 22:[19, 3], Operations: ['96-27=69', '69/23=3'] Exploring Operation: 19+3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 26, 45, 73, 26 ]
24
[ "26+45=71", "73-26=47", "71-47=24" ]
Current State: 24:[26, 45, 73, 26], Operations: [] Exploring Operation: 26+45=71, Resulting Numbers: [73, 71] Generated Node #2: [73, 71] from Operation: 26+45=71 Current State: 24:[73, 71], Operations: ['26+45=71'] Exploring Operation: 73-26=47, Resulting Numbers: [71, 47] Generated Node #3: [71, 47] from Operation: 73-26=47 Current State: 24:[71, 47], Operations: ['26+45=71', '73-26=47'] Exploring Operation: 71-47=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 83, 41, 25, 6 ]
26
[ "83+41=124", "25*6=150", "150-124=26" ]
Current State: 26:[83, 41, 25, 6], Operations: [] Exploring Operation: 83+41=124, Resulting Numbers: [25, 6, 124] Generated Node #2: [25, 6, 124] from Operation: 83+41=124 Current State: 26:[25, 6, 124], Operations: ['83+41=124'] Exploring Operation: 25*6=150, Resulting Numbers: [124, 150] Generated Node #3: [124, 150] from Operation: 25*6=150 Current State: 26:[124, 150], Operations: ['83+41=124', '25*6=150'] Exploring Operation: 150-124=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 33, 56, 4, 16 ]
60
[ "33*4=132", "56+16=72", "132-72=60" ]
Current State: 60:[33, 56, 4, 16], Operations: [] Exploring Operation: 33*4=132, Resulting Numbers: [56, 16, 132] Generated Node #2: [56, 16, 132] from Operation: 33*4=132 Current State: 60:[56, 16, 132], Operations: ['33*4=132'] Exploring Operation: 56+16=72, Resulting Numbers: [132, 72] Generated Node #3: [132, 72] from Operation: 56+16=72 Current State: 60:[132, 72], Operations: ['33*4=132', '56+16=72'] Exploring Operation: 132-72=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 83, 64, 32, 44 ]
95
[ "83-64=19", "32+44=76", "19+76=95" ]
Current State: 95:[83, 64, 32, 44], Operations: [] Exploring Operation: 83-64=19, Resulting Numbers: [32, 44, 19] Generated Node #2: [32, 44, 19] from Operation: 83-64=19 Current State: 95:[32, 44, 19], Operations: ['83-64=19'] Exploring Operation: 32+44=76, Resulting Numbers: [19, 76] Generated Node #3: [19, 76] from Operation: 32+44=76 Current State: 95:[19, 76], Operations: ['83-64=19', '32+44=76'] Exploring Operation: 19+76=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 7, 6, 69, 86 ]
18
[ "7-6=1", "86-69=17", "1+17=18" ]
Current State: 18:[7, 6, 69, 86], Operations: [] Exploring Operation: 7-6=1, Resulting Numbers: [69, 86, 1] Generated Node #2: [69, 86, 1] from Operation: 7-6=1 Current State: 18:[69, 86, 1], Operations: ['7-6=1'] Exploring Operation: 86-69=17, Resulting Numbers: [1, 17] Generated Node #3: [1, 17] from Operation: 86-69=17 Current State: 18:[1, 17], Operations: ['7-6=1', '86-69=17'] Exploring Operation: 1+17=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 10, 16, 57, 56 ]
26
[ "10+16=26", "57-56=1", "26*1=26" ]
Current State: 26:[10, 16, 57, 56], Operations: [] Exploring Operation: 10+16=26, Resulting Numbers: [57, 56, 26] Generated Node #2: [57, 56, 26] from Operation: 10+16=26 Current State: 26:[57, 56, 26], Operations: ['10+16=26'] Exploring Operation: 57-56=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 57-56=1 Current State: 26:[26, 1], Operations: ['10+16=26', '57-56=1'] Exploring Operation: 26*1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 31, 73, 13, 86 ]
82
[ "31+86=117", "117/13=9", "73+9=82" ]
Current State: 82:[31, 73, 13, 86], Operations: [] Exploring Operation: 31+86=117, Resulting Numbers: [73, 13, 117] Generated Node #2: [73, 13, 117] from Operation: 31+86=117 Current State: 82:[73, 13, 117], Operations: ['31+86=117'] Exploring Operation: 117/13=9, Resulting Numbers: [73, 9] Generated Node #3: [73, 9] from Operation: 117/13=9 Current State: 82:[73, 9], Operations: ['31+86=117', '117/13=9'] Exploring Operation: 73+9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 14, 2, 32, 50 ]
98
[ "14+2=16", "32+50=82", "16+82=98" ]
Current State: 98:[14, 2, 32, 50], Operations: [] Exploring Operation: 14+2=16, Resulting Numbers: [32, 50, 16] Generated Node #2: [32, 50, 16] from Operation: 14+2=16 Current State: 98:[32, 50, 16], Operations: ['14+2=16'] Exploring Operation: 32+50=82, Resulting Numbers: [16, 82] Generated Node #3: [16, 82] from Operation: 32+50=82 Current State: 98:[16, 82], Operations: ['14+2=16', '32+50=82'] Exploring Operation: 16+82=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 22, 34, 14, 31 ]
62
[ "34-22=12", "14-12=2", "31*2=62" ]
Current State: 62:[22, 34, 14, 31], Operations: [] Exploring Operation: 34-22=12, Resulting Numbers: [14, 31, 12] Generated Node #2: [14, 31, 12] from Operation: 34-22=12 Current State: 62:[14, 31, 12], Operations: ['34-22=12'] Exploring Operation: 14-12=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 14-12=2 Current State: 62:[31, 2], Operations: ['34-22=12', '14-12=2'] Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 64, 21, 17, 71 ]
11
[ "64-21=43", "71-17=54", "54-43=11" ]
Current State: 11:[64, 21, 17, 71], Operations: [] Exploring Operation: 64-21=43, Resulting Numbers: [17, 71, 43] Generated Node #2: [17, 71, 43] from Operation: 64-21=43 Current State: 11:[17, 71, 43], Operations: ['64-21=43'] Exploring Operation: 71-17=54, Resulting Numbers: [43, 54] Generated Node #3: [43, 54] from Operation: 71-17=54 Current State: 11:[43, 54], Operations: ['64-21=43', '71-17=54'] Exploring Operation: 54-43=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 31, 74, 77, 16 ]
71
[ "77+16=93", "93/31=3", "74-3=71" ]
Current State: 71:[31, 74, 77, 16], Operations: [] Exploring Operation: 77+16=93, Resulting Numbers: [31, 74, 93] Generated Node #2: [31, 74, 93] from Operation: 77+16=93 Current State: 71:[31, 74, 93], Operations: ['77+16=93'] Exploring Operation: 93/31=3, Resulting Numbers: [74, 3] Generated Node #3: [74, 3] from Operation: 93/31=3 Current State: 71:[74, 3], Operations: ['77+16=93', '93/31=3'] Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 74, 64, 8, 38 ]
92
[ "74+64=138", "8+38=46", "138-46=92" ]
Current State: 92:[74, 64, 8, 38], Operations: [] Exploring Operation: 74+64=138, Resulting Numbers: [8, 38, 138] Generated Node #2: [8, 38, 138] from Operation: 74+64=138 Current State: 92:[8, 38, 138], Operations: ['74+64=138'] Exploring Operation: 8+38=46, Resulting Numbers: [138, 46] Generated Node #3: [138, 46] from Operation: 8+38=46 Current State: 92:[138, 46], Operations: ['74+64=138', '8+38=46'] Exploring Operation: 138-46=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 96, 47, 87, 41 ]
97
[ "96+47=143", "87-41=46", "143-46=97" ]
Current State: 97:[96, 47, 87, 41], Operations: [] Exploring Operation: 96+47=143, Resulting Numbers: [87, 41, 143] Generated Node #2: [87, 41, 143] from Operation: 96+47=143 Current State: 97:[87, 41, 143], Operations: ['96+47=143'] Exploring Operation: 87-41=46, Resulting Numbers: [143, 46] Generated Node #3: [143, 46] from Operation: 87-41=46 Current State: 97:[143, 46], Operations: ['96+47=143', '87-41=46'] Exploring Operation: 143-46=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 46, 26, 30, 49 ]
16
[ "49-46=3", "30/3=10", "26-10=16" ]
Current State: 16:[46, 26, 30, 49], Operations: [] Exploring Operation: 49-46=3, Resulting Numbers: [26, 30, 3] Generated Node #2: [26, 30, 3] from Operation: 49-46=3 Current State: 16:[26, 30, 3], Operations: ['49-46=3'] Exploring Operation: 30/3=10, Resulting Numbers: [26, 10] Generated Node #3: [26, 10] from Operation: 30/3=10 Current State: 16:[26, 10], Operations: ['49-46=3', '30/3=10'] Exploring Operation: 26-10=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 82, 18, 99, 81 ]
46
[ "82-18=64", "99-81=18", "64-18=46" ]
Current State: 46:[82, 18, 99, 81], Operations: [] Exploring Operation: 82-18=64, Resulting Numbers: [99, 81, 64] Generated Node #2: [99, 81, 64] from Operation: 82-18=64 Current State: 46:[99, 81, 64], Operations: ['82-18=64'] Exploring Operation: 99-81=18, Resulting Numbers: [64, 18] Generated Node #3: [64, 18] from Operation: 99-81=18 Current State: 46:[64, 18], Operations: ['82-18=64', '99-81=18'] Exploring Operation: 64-18=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 11, 66, 55, 36 ]
43
[ "66*36=2376", "2376-11=2365", "2365/55=43" ]
Current State: 43:[11, 66, 55, 36], Operations: [] Exploring Operation: 66*36=2376, Resulting Numbers: [11, 55, 2376] Generated Node #2: [11, 55, 2376] from Operation: 66*36=2376 Current State: 43:[11, 55, 2376], Operations: ['66*36=2376'] Exploring Operation: 2376-11=2365, Resulting Numbers: [55, 2365] Generated Node #3: [55, 2365] from Operation: 2376-11=2365 Current State: 43:[55, 2365], Operations: ['66*36=2376', '2376-11=2365'] Exploring Operation: 2365/55=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 52, 73, 31, 25 ]
36
[ "52+73=125", "125/25=5", "31+5=36" ]
Current State: 36:[52, 73, 31, 25], Operations: [] Exploring Operation: 52+73=125, Resulting Numbers: [31, 25, 125] Generated Node #2: [31, 25, 125] from Operation: 52+73=125 Current State: 36:[31, 25, 125], Operations: ['52+73=125'] Exploring Operation: 125/25=5, Resulting Numbers: [31, 5] Generated Node #3: [31, 5] from Operation: 125/25=5 Current State: 36:[31, 5], Operations: ['52+73=125', '125/25=5'] Exploring Operation: 31+5=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 52, 8, 19, 4 ]
40
[ "52/4=13", "8+19=27", "13+27=40" ]
Current State: 40:[52, 8, 19, 4], Operations: [] Exploring Operation: 52/4=13, Resulting Numbers: [8, 19, 13] Generated Node #2: [8, 19, 13] from Operation: 52/4=13 Current State: 40:[8, 19, 13], Operations: ['52/4=13'] Exploring Operation: 8+19=27, Resulting Numbers: [13, 27] Generated Node #3: [13, 27] from Operation: 8+19=27 Current State: 40:[13, 27], Operations: ['52/4=13', '8+19=27'] Exploring Operation: 13+27=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 13, 70, 81, 76 ]
88
[ "13+70=83", "81-76=5", "83+5=88" ]
Current State: 88:[13, 70, 81, 76], Operations: [] Exploring Operation: 13+70=83, Resulting Numbers: [81, 76, 83] Generated Node #2: [81, 76, 83] from Operation: 13+70=83 Current State: 88:[81, 76, 83], Operations: ['13+70=83'] Exploring Operation: 81-76=5, Resulting Numbers: [83, 5] Generated Node #3: [83, 5] from Operation: 81-76=5 Current State: 88:[83, 5], Operations: ['13+70=83', '81-76=5'] Exploring Operation: 83+5=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 63, 85, 95, 6 ]
47
[ "63+85=148", "95+6=101", "148-101=47" ]
Current State: 47:[63, 85, 95, 6], Operations: [] Exploring Operation: 63+85=148, Resulting Numbers: [95, 6, 148] Generated Node #2: [95, 6, 148] from Operation: 63+85=148 Current State: 47:[95, 6, 148], Operations: ['63+85=148'] Exploring Operation: 95+6=101, Resulting Numbers: [148, 101] Generated Node #3: [148, 101] from Operation: 95+6=101 Current State: 47:[148, 101], Operations: ['63+85=148', '95+6=101'] Exploring Operation: 148-101=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 45, 38, 43, 88 ]
79
[ "43-38=5", "45/5=9", "88-9=79" ]
Current State: 79:[45, 38, 43, 88], Operations: [] Exploring Operation: 43-38=5, Resulting Numbers: [45, 88, 5] Generated Node #2: [45, 88, 5] from Operation: 43-38=5 Current State: 79:[45, 88, 5], Operations: ['43-38=5'] Exploring Operation: 45/5=9, Resulting Numbers: [88, 9] Generated Node #3: [88, 9] from Operation: 45/5=9 Current State: 79:[88, 9], Operations: ['43-38=5', '45/5=9'] Exploring Operation: 88-9=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 82, 77, 34, 3 ]
67
[ "82-34=48", "3*48=144", "144-77=67" ]
Current State: 67:[82, 77, 34, 3], Operations: [] Exploring Operation: 82-34=48, Resulting Numbers: [77, 3, 48] Generated Node #2: [77, 3, 48] from Operation: 82-34=48 Current State: 67:[77, 3, 48], Operations: ['82-34=48'] Exploring Operation: 3*48=144, Resulting Numbers: [77, 144] Generated Node #3: [77, 144] from Operation: 3*48=144 Current State: 67:[77, 144], Operations: ['82-34=48', '3*48=144'] Exploring Operation: 144-77=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 32, 74, 12, 68 ]
16
[ "74-68=6", "32*6=192", "192/12=16" ]
Current State: 16:[32, 74, 12, 68], Operations: [] Exploring Operation: 74-68=6, Resulting Numbers: [32, 12, 6] Generated Node #2: [32, 12, 6] from Operation: 74-68=6 Current State: 16:[32, 12, 6], Operations: ['74-68=6'] Exploring Operation: 32*6=192, Resulting Numbers: [12, 192] Generated Node #3: [12, 192] from Operation: 32*6=192 Current State: 16:[12, 192], Operations: ['74-68=6', '32*6=192'] Exploring Operation: 192/12=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 50, 65, 13, 6 ]
17
[ "50+65=115", "115-13=102", "102/6=17" ]
Current State: 17:[50, 65, 13, 6], Operations: [] Exploring Operation: 50+65=115, Resulting Numbers: [13, 6, 115] Generated Node #2: [13, 6, 115] from Operation: 50+65=115 Current State: 17:[13, 6, 115], Operations: ['50+65=115'] Exploring Operation: 115-13=102, Resulting Numbers: [6, 102] Generated Node #3: [6, 102] from Operation: 115-13=102 Current State: 17:[6, 102], Operations: ['50+65=115', '115-13=102'] Exploring Operation: 102/6=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 21, 10, 63, 15 ]
50
[ "21*10=210", "15*210=3150", "3150/63=50" ]
Current State: 50:[21, 10, 63, 15], Operations: [] Exploring Operation: 21*10=210, Resulting Numbers: [63, 15, 210] Generated Node #2: [63, 15, 210] from Operation: 21*10=210 Current State: 50:[63, 15, 210], Operations: ['21*10=210'] Exploring Operation: 15*210=3150, Resulting Numbers: [63, 3150] Generated Node #3: [63, 3150] from Operation: 15*210=3150 Current State: 50:[63, 3150], Operations: ['21*10=210', '15*210=3150'] Exploring Operation: 3150/63=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 69, 83, 84, 97 ]
63
[ "97-83=14", "84/14=6", "69-6=63" ]
Current State: 63:[69, 83, 84, 97], Operations: [] Exploring Operation: 97-83=14, Resulting Numbers: [69, 84, 14] Generated Node #2: [69, 84, 14] from Operation: 97-83=14 Current State: 63:[69, 84, 14], Operations: ['97-83=14'] Exploring Operation: 84/14=6, Resulting Numbers: [69, 6] Generated Node #3: [69, 6] from Operation: 84/14=6 Current State: 63:[69, 6], Operations: ['97-83=14', '84/14=6'] Exploring Operation: 69-6=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 2, 21, 98, 59 ]
99
[ "98-59=39", "2*39=78", "21+78=99" ]
Current State: 99:[2, 21, 98, 59], Operations: [] Exploring Operation: 98-59=39, Resulting Numbers: [2, 21, 39] Generated Node #2: [2, 21, 39] from Operation: 98-59=39 Current State: 99:[2, 21, 39], Operations: ['98-59=39'] Exploring Operation: 2*39=78, Resulting Numbers: [21, 78] Generated Node #3: [21, 78] from Operation: 2*39=78 Current State: 99:[21, 78], Operations: ['98-59=39', '2*39=78'] Exploring Operation: 21+78=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 3, 59, 33, 66 ]
23
[ "59-3=56", "66-33=33", "56-33=23" ]
Current State: 23:[3, 59, 33, 66], Operations: [] Exploring Operation: 59-3=56, Resulting Numbers: [33, 66, 56] Generated Node #2: [33, 66, 56] from Operation: 59-3=56 Current State: 23:[33, 66, 56], Operations: ['59-3=56'] Exploring Operation: 66-33=33, Resulting Numbers: [56, 33] Generated Node #3: [56, 33] from Operation: 66-33=33 Current State: 23:[56, 33], Operations: ['59-3=56', '66-33=33'] Exploring Operation: 56-33=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 59, 61, 23, 60 ]
83
[ "59+61=120", "60-23=37", "120-37=83" ]
Current State: 83:[59, 61, 23, 60], Operations: [] Exploring Operation: 59+61=120, Resulting Numbers: [23, 60, 120] Generated Node #2: [23, 60, 120] from Operation: 59+61=120 Current State: 83:[23, 60, 120], Operations: ['59+61=120'] Exploring Operation: 60-23=37, Resulting Numbers: [120, 37] Generated Node #3: [120, 37] from Operation: 60-23=37 Current State: 83:[120, 37], Operations: ['59+61=120', '60-23=37'] Exploring Operation: 120-37=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 95, 7, 38, 9 ]
73
[ "95+7=102", "38-9=29", "102-29=73" ]
Current State: 73:[95, 7, 38, 9], Operations: [] Exploring Operation: 95+7=102, Resulting Numbers: [38, 9, 102] Generated Node #2: [38, 9, 102] from Operation: 95+7=102 Current State: 73:[38, 9, 102], Operations: ['95+7=102'] Exploring Operation: 38-9=29, Resulting Numbers: [102, 29] Generated Node #3: [102, 29] from Operation: 38-9=29 Current State: 73:[102, 29], Operations: ['95+7=102', '38-9=29'] Exploring Operation: 102-29=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 80, 79, 78, 9 ]
87
[ "80-79=1", "78+9=87", "1*87=87" ]
Current State: 87:[80, 79, 78, 9], Operations: [] Exploring Operation: 80-79=1, Resulting Numbers: [78, 9, 1] Generated Node #2: [78, 9, 1] from Operation: 80-79=1 Current State: 87:[78, 9, 1], Operations: ['80-79=1'] Exploring Operation: 78+9=87, Resulting Numbers: [1, 87] Generated Node #3: [1, 87] from Operation: 78+9=87 Current State: 87:[1, 87], Operations: ['80-79=1', '78+9=87'] Exploring Operation: 1*87=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 36, 65, 4, 1 ]
80
[ "36*4=144", "65-1=64", "144-64=80" ]
Current State: 80:[36, 65, 4, 1], Operations: [] Exploring Operation: 36*4=144, Resulting Numbers: [65, 1, 144] Generated Node #2: [65, 1, 144] from Operation: 36*4=144 Current State: 80:[65, 1, 144], Operations: ['36*4=144'] Exploring Operation: 65-1=64, Resulting Numbers: [144, 64] Generated Node #3: [144, 64] from Operation: 65-1=64 Current State: 80:[144, 64], Operations: ['36*4=144', '65-1=64'] Exploring Operation: 144-64=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 28, 26, 21, 3 ]
99
[ "28+26=54", "54-21=33", "3*33=99" ]
Current State: 99:[28, 26, 21, 3], Operations: [] Exploring Operation: 28+26=54, Resulting Numbers: [21, 3, 54] Generated Node #2: [21, 3, 54] from Operation: 28+26=54 Current State: 99:[21, 3, 54], Operations: ['28+26=54'] Exploring Operation: 54-21=33, Resulting Numbers: [3, 33] Generated Node #3: [3, 33] from Operation: 54-21=33 Current State: 99:[3, 33], Operations: ['28+26=54', '54-21=33'] Exploring Operation: 3*33=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 90, 5, 34, 1 ]
14
[ "90-34=56", "5-1=4", "56/4=14" ]
Current State: 14:[90, 5, 34, 1], Operations: [] Exploring Operation: 90-34=56, Resulting Numbers: [5, 1, 56] Generated Node #2: [5, 1, 56] from Operation: 90-34=56 Current State: 14:[5, 1, 56], Operations: ['90-34=56'] Exploring Operation: 5-1=4, Resulting Numbers: [56, 4] Generated Node #3: [56, 4] from Operation: 5-1=4 Current State: 14:[56, 4], Operations: ['90-34=56', '5-1=4'] Exploring Operation: 56/4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 50, 23, 3, 54 ]
45
[ "50-23=27", "54/3=18", "27+18=45" ]
Current State: 45:[50, 23, 3, 54], Operations: [] Exploring Operation: 50-23=27, Resulting Numbers: [3, 54, 27] Generated Node #2: [3, 54, 27] from Operation: 50-23=27 Current State: 45:[3, 54, 27], Operations: ['50-23=27'] Exploring Operation: 54/3=18, Resulting Numbers: [27, 18] Generated Node #3: [27, 18] from Operation: 54/3=18 Current State: 45:[27, 18], Operations: ['50-23=27', '54/3=18'] Exploring Operation: 27+18=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4