Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 65, 7, 54, 52 ]
74
[ "65+7=72", "54-52=2", "72+2=74" ]
Current State: 74:[65, 7, 54, 52], Operations: [] Exploring Operation: 65+7=72, Resulting Numbers: [54, 52, 72] Generated Node #2: [54, 52, 72] from Operation: 65+7=72 Current State: 74:[54, 52, 72], Operations: ['65+7=72'] Exploring Operation: 54-52=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 54-52=2 Current State: 74:[72, 2], Operations: ['65+7=72', '54-52=2'] Exploring Operation: 72+2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 83, 2, 87, 42 ]
88
[ "87-83=4", "2*42=84", "4+84=88" ]
Current State: 88:[83, 2, 87, 42], Operations: [] Exploring Operation: 87-83=4, Resulting Numbers: [2, 42, 4] Generated Node #2: [2, 42, 4] from Operation: 87-83=4 Current State: 88:[2, 42, 4], Operations: ['87-83=4'] Exploring Operation: 2*42=84, Resulting Numbers: [4, 84] Generated Node #3: [4, 84] from Operation: 2*42=84 Current State: 88:[4, 84], Operations: ['87-83=4', '2*42=84'] Exploring Operation: 4+84=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 95, 49, 12, 7 ]
38
[ "95-49=46", "12*7=84", "84-46=38" ]
Current State: 38:[95, 49, 12, 7], Operations: [] Exploring Operation: 95-49=46, Resulting Numbers: [12, 7, 46] Generated Node #2: [12, 7, 46] from Operation: 95-49=46 Current State: 38:[12, 7, 46], Operations: ['95-49=46'] Exploring Operation: 12*7=84, Resulting Numbers: [46, 84] Generated Node #3: [46, 84] from Operation: 12*7=84 Current State: 38:[46, 84], Operations: ['95-49=46', '12*7=84'] Exploring Operation: 84-46=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 4, 91, 81, 83 ]
49
[ "91-83=8", "4*8=32", "81-32=49" ]
Current State: 49:[4, 91, 81, 83], Operations: [] Exploring Operation: 91-83=8, Resulting Numbers: [4, 81, 8] Generated Node #2: [4, 81, 8] from Operation: 91-83=8 Current State: 49:[4, 81, 8], Operations: ['91-83=8'] Exploring Operation: 4*8=32, Resulting Numbers: [81, 32] Generated Node #3: [81, 32] from Operation: 4*8=32 Current State: 49:[81, 32], Operations: ['91-83=8', '4*8=32'] Exploring Operation: 81-32=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 21, 6, 45, 42 ]
53
[ "21+45=66", "66/6=11", "42+11=53" ]
Current State: 53:[21, 6, 45, 42], Operations: [] Exploring Operation: 21+45=66, Resulting Numbers: [6, 42, 66] Generated Node #2: [6, 42, 66] from Operation: 21+45=66 Current State: 53:[6, 42, 66], Operations: ['21+45=66'] Exploring Operation: 66/6=11, Resulting Numbers: [42, 11] Generated Node #3: [42, 11] from Operation: 66/6=11 Current State: 53:[42, 11], Operations: ['21+45=66', '66/6=11'] Exploring Operation: 42+11=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 26, 60, 66, 91 ]
21
[ "66-60=6", "91*6=546", "546/26=21" ]
Current State: 21:[26, 60, 66, 91], Operations: [] Exploring Operation: 66-60=6, Resulting Numbers: [26, 91, 6] Generated Node #2: [26, 91, 6] from Operation: 66-60=6 Current State: 21:[26, 91, 6], Operations: ['66-60=6'] Exploring Operation: 91*6=546, Resulting Numbers: [26, 546] Generated Node #3: [26, 546] from Operation: 91*6=546 Current State: 21:[26, 546], Operations: ['66-60=6', '91*6=546'] Exploring Operation: 546/26=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 48, 57, 59, 75 ]
21
[ "59-57=2", "48*2=96", "96-75=21" ]
Current State: 21:[48, 57, 59, 75], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [48, 75, 2] Generated Node #2: [48, 75, 2] from Operation: 59-57=2 Current State: 21:[48, 75, 2], Operations: ['59-57=2'] Exploring Operation: 48*2=96, Resulting Numbers: [75, 96] Generated Node #3: [75, 96] from Operation: 48*2=96 Current State: 21:[75, 96], Operations: ['59-57=2', '48*2=96'] Exploring Operation: 96-75=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 43, 99, 76, 85 ]
19
[ "43+99=142", "76+85=161", "161-142=19" ]
Current State: 19:[43, 99, 76, 85], Operations: [] Exploring Operation: 43+99=142, Resulting Numbers: [76, 85, 142] Generated Node #2: [76, 85, 142] from Operation: 43+99=142 Current State: 19:[76, 85, 142], Operations: ['43+99=142'] Exploring Operation: 76+85=161, Resulting Numbers: [142, 161] Generated Node #3: [142, 161] from Operation: 76+85=161 Current State: 19:[142, 161], Operations: ['43+99=142', '76+85=161'] Exploring Operation: 161-142=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 98, 55, 5, 18 ]
27
[ "98+55=153", "153-18=135", "135/5=27" ]
Current State: 27:[98, 55, 5, 18], Operations: [] Exploring Operation: 98+55=153, Resulting Numbers: [5, 18, 153] Generated Node #2: [5, 18, 153] from Operation: 98+55=153 Current State: 27:[5, 18, 153], Operations: ['98+55=153'] Exploring Operation: 153-18=135, Resulting Numbers: [5, 135] Generated Node #3: [5, 135] from Operation: 153-18=135 Current State: 27:[5, 135], Operations: ['98+55=153', '153-18=135'] Exploring Operation: 135/5=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 55, 79, 4, 45 ]
85
[ "55+79=134", "4+45=49", "134-49=85" ]
Current State: 85:[55, 79, 4, 45], Operations: [] Exploring Operation: 55+79=134, Resulting Numbers: [4, 45, 134] Generated Node #2: [4, 45, 134] from Operation: 55+79=134 Current State: 85:[4, 45, 134], Operations: ['55+79=134'] Exploring Operation: 4+45=49, Resulting Numbers: [134, 49] Generated Node #3: [134, 49] from Operation: 4+45=49 Current State: 85:[134, 49], Operations: ['55+79=134', '4+45=49'] Exploring Operation: 134-49=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 20, 55, 51, 10 ]
47
[ "20*51=1020", "1020/10=102", "102-55=47" ]
Current State: 47:[20, 55, 51, 10], Operations: [] Exploring Operation: 20*51=1020, Resulting Numbers: [55, 10, 1020] Generated Node #2: [55, 10, 1020] from Operation: 20*51=1020 Current State: 47:[55, 10, 1020], Operations: ['20*51=1020'] Exploring Operation: 1020/10=102, Resulting Numbers: [55, 102] Generated Node #3: [55, 102] from Operation: 1020/10=102 Current State: 47:[55, 102], Operations: ['20*51=1020', '1020/10=102'] Exploring Operation: 102-55=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 56, 34, 57, 13 ]
66
[ "56-34=22", "57-13=44", "22+44=66" ]
Current State: 66:[56, 34, 57, 13], Operations: [] Exploring Operation: 56-34=22, Resulting Numbers: [57, 13, 22] Generated Node #2: [57, 13, 22] from Operation: 56-34=22 Current State: 66:[57, 13, 22], Operations: ['56-34=22'] Exploring Operation: 57-13=44, Resulting Numbers: [22, 44] Generated Node #3: [22, 44] from Operation: 57-13=44 Current State: 66:[22, 44], Operations: ['56-34=22', '57-13=44'] Exploring Operation: 22+44=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 27, 47, 54, 10 ]
44
[ "47-27=20", "54+10=64", "64-20=44" ]
Current State: 44:[27, 47, 54, 10], Operations: [] Exploring Operation: 47-27=20, Resulting Numbers: [54, 10, 20] Generated Node #2: [54, 10, 20] from Operation: 47-27=20 Current State: 44:[54, 10, 20], Operations: ['47-27=20'] Exploring Operation: 54+10=64, Resulting Numbers: [20, 64] Generated Node #3: [20, 64] from Operation: 54+10=64 Current State: 44:[20, 64], Operations: ['47-27=20', '54+10=64'] Exploring Operation: 64-20=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 45, 66, 21, 93 ]
35
[ "45*21=945", "93-66=27", "945/27=35" ]
Current State: 35:[45, 66, 21, 93], Operations: [] Exploring Operation: 45*21=945, Resulting Numbers: [66, 93, 945] Generated Node #2: [66, 93, 945] from Operation: 45*21=945 Current State: 35:[66, 93, 945], Operations: ['45*21=945'] Exploring Operation: 93-66=27, Resulting Numbers: [945, 27] Generated Node #3: [945, 27] from Operation: 93-66=27 Current State: 35:[945, 27], Operations: ['45*21=945', '93-66=27'] Exploring Operation: 945/27=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 4, 90, 51, 93 ]
68
[ "4*51=204", "93-90=3", "204/3=68" ]
Current State: 68:[4, 90, 51, 93], Operations: [] Exploring Operation: 4*51=204, Resulting Numbers: [90, 93, 204] Generated Node #2: [90, 93, 204] from Operation: 4*51=204 Current State: 68:[90, 93, 204], Operations: ['4*51=204'] Exploring Operation: 93-90=3, Resulting Numbers: [204, 3] Generated Node #3: [204, 3] from Operation: 93-90=3 Current State: 68:[204, 3], Operations: ['4*51=204', '93-90=3'] Exploring Operation: 204/3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 18, 3, 11, 25 ]
68
[ "18*3=54", "25-11=14", "54+14=68" ]
Current State: 68:[18, 3, 11, 25], Operations: [] Exploring Operation: 18*3=54, Resulting Numbers: [11, 25, 54] Generated Node #2: [11, 25, 54] from Operation: 18*3=54 Current State: 68:[11, 25, 54], Operations: ['18*3=54'] Exploring Operation: 25-11=14, Resulting Numbers: [54, 14] Generated Node #3: [54, 14] from Operation: 25-11=14 Current State: 68:[54, 14], Operations: ['18*3=54', '25-11=14'] Exploring Operation: 54+14=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 29, 24, 29, 60 ]
60
[ "29-29=0", "24*0=0", "60+0=60" ]
Current State: 60:[29, 24, 29, 60], Operations: [] Exploring Operation: 29-29=0, Resulting Numbers: [24, 60, 0] Generated Node #2: [24, 60, 0] from Operation: 29-29=0 Current State: 60:[24, 60, 0], Operations: ['29-29=0'] Exploring Operation: 24*0=0, Resulting Numbers: [60, 0] Generated Node #3: [60, 0] from Operation: 24*0=0 Current State: 60:[60, 0], Operations: ['29-29=0', '24*0=0'] Exploring Operation: 60+0=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 72, 1, 12, 2 ]
82
[ "72*1=72", "12-2=10", "72+10=82" ]
Current State: 82:[72, 1, 12, 2], Operations: [] Exploring Operation: 72*1=72, Resulting Numbers: [12, 2, 72] Generated Node #2: [12, 2, 72] from Operation: 72*1=72 Current State: 82:[12, 2, 72], Operations: ['72*1=72'] Exploring Operation: 12-2=10, Resulting Numbers: [72, 10] Generated Node #3: [72, 10] from Operation: 12-2=10 Current State: 82:[72, 10], Operations: ['72*1=72', '12-2=10'] Exploring Operation: 72+10=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 2, 86, 51, 62 ]
13
[ "2*62=124", "86+51=137", "137-124=13" ]
Current State: 13:[2, 86, 51, 62], Operations: [] Exploring Operation: 2*62=124, Resulting Numbers: [86, 51, 124] Generated Node #2: [86, 51, 124] from Operation: 2*62=124 Current State: 13:[86, 51, 124], Operations: ['2*62=124'] Exploring Operation: 86+51=137, Resulting Numbers: [124, 137] Generated Node #3: [124, 137] from Operation: 86+51=137 Current State: 13:[124, 137], Operations: ['2*62=124', '86+51=137'] Exploring Operation: 137-124=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 3, 3, 51, 63 ]
11
[ "3/3=1", "63-51=12", "12-1=11" ]
Current State: 11:[3, 3, 51, 63], Operations: [] Exploring Operation: 3/3=1, Resulting Numbers: [51, 63, 1] Generated Node #2: [51, 63, 1] from Operation: 3/3=1 Current State: 11:[51, 63, 1], Operations: ['3/3=1'] Exploring Operation: 63-51=12, Resulting Numbers: [1, 12] Generated Node #3: [1, 12] from Operation: 63-51=12 Current State: 11:[1, 12], Operations: ['3/3=1', '63-51=12'] Exploring Operation: 12-1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 74, 4, 19, 62 ]
22
[ "74-62=12", "12/4=3", "19+3=22" ]
Current State: 22:[74, 4, 19, 62], Operations: [] Exploring Operation: 74-62=12, Resulting Numbers: [4, 19, 12] Generated Node #2: [4, 19, 12] from Operation: 74-62=12 Current State: 22:[4, 19, 12], Operations: ['74-62=12'] Exploring Operation: 12/4=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 12/4=3 Current State: 22:[19, 3], Operations: ['74-62=12', '12/4=3'] Exploring Operation: 19+3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 12, 6, 14, 80 ]
82
[ "12*14=168", "6+80=86", "168-86=82" ]
Current State: 82:[12, 6, 14, 80], Operations: [] Exploring Operation: 12*14=168, Resulting Numbers: [6, 80, 168] Generated Node #2: [6, 80, 168] from Operation: 12*14=168 Current State: 82:[6, 80, 168], Operations: ['12*14=168'] Exploring Operation: 6+80=86, Resulting Numbers: [168, 86] Generated Node #3: [168, 86] from Operation: 6+80=86 Current State: 82:[168, 86], Operations: ['12*14=168', '6+80=86'] Exploring Operation: 168-86=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 84, 15, 47, 31 ]
90
[ "84-47=37", "37-31=6", "15*6=90" ]
Current State: 90:[84, 15, 47, 31], Operations: [] Exploring Operation: 84-47=37, Resulting Numbers: [15, 31, 37] Generated Node #2: [15, 31, 37] from Operation: 84-47=37 Current State: 90:[15, 31, 37], Operations: ['84-47=37'] Exploring Operation: 37-31=6, Resulting Numbers: [15, 6] Generated Node #3: [15, 6] from Operation: 37-31=6 Current State: 90:[15, 6], Operations: ['84-47=37', '37-31=6'] Exploring Operation: 15*6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 61, 1, 88, 8 ]
51
[ "61+1=62", "88/8=11", "62-11=51" ]
Current State: 51:[61, 1, 88, 8], Operations: [] Exploring Operation: 61+1=62, Resulting Numbers: [88, 8, 62] Generated Node #2: [88, 8, 62] from Operation: 61+1=62 Current State: 51:[88, 8, 62], Operations: ['61+1=62'] Exploring Operation: 88/8=11, Resulting Numbers: [62, 11] Generated Node #3: [62, 11] from Operation: 88/8=11 Current State: 51:[62, 11], Operations: ['61+1=62', '88/8=11'] Exploring Operation: 62-11=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 24, 61, 28, 56 ]
75
[ "28-24=4", "56/4=14", "61+14=75" ]
Current State: 75:[24, 61, 28, 56], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [61, 56, 4] Generated Node #2: [61, 56, 4] from Operation: 28-24=4 Current State: 75:[61, 56, 4], Operations: ['28-24=4'] Exploring Operation: 56/4=14, Resulting Numbers: [61, 14] Generated Node #3: [61, 14] from Operation: 56/4=14 Current State: 75:[61, 14], Operations: ['28-24=4', '56/4=14'] Exploring Operation: 61+14=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 4, 5, 19, 25 ]
16
[ "19+25=44", "44/4=11", "5+11=16" ]
Current State: 16:[4, 5, 19, 25], Operations: [] Exploring Operation: 19+25=44, Resulting Numbers: [4, 5, 44] Generated Node #2: [4, 5, 44] from Operation: 19+25=44 Current State: 16:[4, 5, 44], Operations: ['19+25=44'] Exploring Operation: 44/4=11, Resulting Numbers: [5, 11] Generated Node #3: [5, 11] from Operation: 44/4=11 Current State: 16:[5, 11], Operations: ['19+25=44', '44/4=11'] Exploring Operation: 5+11=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 40, 58, 92, 86 ]
12
[ "58-40=18", "92-86=6", "18-6=12" ]
Current State: 12:[40, 58, 92, 86], Operations: [] Exploring Operation: 58-40=18, Resulting Numbers: [92, 86, 18] Generated Node #2: [92, 86, 18] from Operation: 58-40=18 Current State: 12:[92, 86, 18], Operations: ['58-40=18'] Exploring Operation: 92-86=6, Resulting Numbers: [18, 6] Generated Node #3: [18, 6] from Operation: 92-86=6 Current State: 12:[18, 6], Operations: ['58-40=18', '92-86=6'] Exploring Operation: 18-6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 70, 81, 9, 24 ]
44
[ "81-70=11", "9+24=33", "11+33=44" ]
Current State: 44:[70, 81, 9, 24], Operations: [] Exploring Operation: 81-70=11, Resulting Numbers: [9, 24, 11] Generated Node #2: [9, 24, 11] from Operation: 81-70=11 Current State: 44:[9, 24, 11], Operations: ['81-70=11'] Exploring Operation: 9+24=33, Resulting Numbers: [11, 33] Generated Node #3: [11, 33] from Operation: 9+24=33 Current State: 44:[11, 33], Operations: ['81-70=11', '9+24=33'] Exploring Operation: 11+33=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 11, 13, 13, 85 ]
96
[ "11+13=24", "85-13=72", "24+72=96" ]
Current State: 96:[11, 13, 13, 85], Operations: [] Exploring Operation: 11+13=24, Resulting Numbers: [85, 24] Generated Node #2: [85, 24] from Operation: 11+13=24 Current State: 96:[85, 24], Operations: ['11+13=24'] Exploring Operation: 85-13=72, Resulting Numbers: [24, 72] Generated Node #3: [24, 72] from Operation: 85-13=72 Current State: 96:[24, 72], Operations: ['11+13=24', '85-13=72'] Exploring Operation: 24+72=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 43, 40, 62, 73 ]
94
[ "43+40=83", "73-62=11", "83+11=94" ]
Current State: 94:[43, 40, 62, 73], Operations: [] Exploring Operation: 43+40=83, Resulting Numbers: [62, 73, 83] Generated Node #2: [62, 73, 83] from Operation: 43+40=83 Current State: 94:[62, 73, 83], Operations: ['43+40=83'] Exploring Operation: 73-62=11, Resulting Numbers: [83, 11] Generated Node #3: [83, 11] from Operation: 73-62=11 Current State: 94:[83, 11], Operations: ['43+40=83', '73-62=11'] Exploring Operation: 83+11=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 94, 68, 45, 60 ]
43
[ "94-60=34", "68/34=2", "45-2=43" ]
Current State: 43:[94, 68, 45, 60], Operations: [] Exploring Operation: 94-60=34, Resulting Numbers: [68, 45, 34] Generated Node #2: [68, 45, 34] from Operation: 94-60=34 Current State: 43:[68, 45, 34], Operations: ['94-60=34'] Exploring Operation: 68/34=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 68/34=2 Current State: 43:[45, 2], Operations: ['94-60=34', '68/34=2'] Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 40, 35, 81, 3 ]
16
[ "40+81=121", "35*3=105", "121-105=16" ]
Current State: 16:[40, 35, 81, 3], Operations: [] Exploring Operation: 40+81=121, Resulting Numbers: [35, 3, 121] Generated Node #2: [35, 3, 121] from Operation: 40+81=121 Current State: 16:[35, 3, 121], Operations: ['40+81=121'] Exploring Operation: 35*3=105, Resulting Numbers: [121, 105] Generated Node #3: [121, 105] from Operation: 35*3=105 Current State: 16:[121, 105], Operations: ['40+81=121', '35*3=105'] Exploring Operation: 121-105=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 52, 88, 60, 76 ]
20
[ "88-52=36", "76-60=16", "36-16=20" ]
Current State: 20:[52, 88, 60, 76], Operations: [] Exploring Operation: 88-52=36, Resulting Numbers: [60, 76, 36] Generated Node #2: [60, 76, 36] from Operation: 88-52=36 Current State: 20:[60, 76, 36], Operations: ['88-52=36'] Exploring Operation: 76-60=16, Resulting Numbers: [36, 16] Generated Node #3: [36, 16] from Operation: 76-60=16 Current State: 20:[36, 16], Operations: ['88-52=36', '76-60=16'] Exploring Operation: 36-16=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 41, 33, 13, 2 ]
31
[ "33-13=20", "20/2=10", "41-10=31" ]
Current State: 31:[41, 33, 13, 2], Operations: [] Exploring Operation: 33-13=20, Resulting Numbers: [41, 2, 20] Generated Node #2: [41, 2, 20] from Operation: 33-13=20 Current State: 31:[41, 2, 20], Operations: ['33-13=20'] Exploring Operation: 20/2=10, Resulting Numbers: [41, 10] Generated Node #3: [41, 10] from Operation: 20/2=10 Current State: 31:[41, 10], Operations: ['33-13=20', '20/2=10'] Exploring Operation: 41-10=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 11, 33, 23, 67 ]
37
[ "67-23=44", "44/11=4", "33+4=37" ]
Current State: 37:[11, 33, 23, 67], Operations: [] Exploring Operation: 67-23=44, Resulting Numbers: [11, 33, 44] Generated Node #2: [11, 33, 44] from Operation: 67-23=44 Current State: 37:[11, 33, 44], Operations: ['67-23=44'] Exploring Operation: 44/11=4, Resulting Numbers: [33, 4] Generated Node #3: [33, 4] from Operation: 44/11=4 Current State: 37:[33, 4], Operations: ['67-23=44', '44/11=4'] Exploring Operation: 33+4=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 7, 15, 82, 60 ]
14
[ "15-7=8", "82-60=22", "22-8=14" ]
Current State: 14:[7, 15, 82, 60], Operations: [] Exploring Operation: 15-7=8, Resulting Numbers: [82, 60, 8] Generated Node #2: [82, 60, 8] from Operation: 15-7=8 Current State: 14:[82, 60, 8], Operations: ['15-7=8'] Exploring Operation: 82-60=22, Resulting Numbers: [8, 22] Generated Node #3: [8, 22] from Operation: 82-60=22 Current State: 14:[8, 22], Operations: ['15-7=8', '82-60=22'] Exploring Operation: 22-8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 44, 19, 81, 10 ]
53
[ "19-10=9", "81/9=9", "44+9=53" ]
Current State: 53:[44, 19, 81, 10], Operations: [] Exploring Operation: 19-10=9, Resulting Numbers: [44, 81, 9] Generated Node #2: [44, 81, 9] from Operation: 19-10=9 Current State: 53:[44, 81, 9], Operations: ['19-10=9'] Exploring Operation: 81/9=9, Resulting Numbers: [44, 9] Generated Node #3: [44, 9] from Operation: 81/9=9 Current State: 53:[44, 9], Operations: ['19-10=9', '81/9=9'] Exploring Operation: 44+9=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 3, 28, 37, 20 ]
26
[ "3+28=31", "37+20=57", "57-31=26" ]
Current State: 26:[3, 28, 37, 20], Operations: [] Exploring Operation: 3+28=31, Resulting Numbers: [37, 20, 31] Generated Node #2: [37, 20, 31] from Operation: 3+28=31 Current State: 26:[37, 20, 31], Operations: ['3+28=31'] Exploring Operation: 37+20=57, Resulting Numbers: [31, 57] Generated Node #3: [31, 57] from Operation: 37+20=57 Current State: 26:[31, 57], Operations: ['3+28=31', '37+20=57'] Exploring Operation: 57-31=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 31, 56, 71, 41 ]
55
[ "56-31=25", "71-41=30", "25+30=55" ]
Current State: 55:[31, 56, 71, 41], Operations: [] Exploring Operation: 56-31=25, Resulting Numbers: [71, 41, 25] Generated Node #2: [71, 41, 25] from Operation: 56-31=25 Current State: 55:[71, 41, 25], Operations: ['56-31=25'] Exploring Operation: 71-41=30, Resulting Numbers: [25, 30] Generated Node #3: [25, 30] from Operation: 71-41=30 Current State: 55:[25, 30], Operations: ['56-31=25', '71-41=30'] Exploring Operation: 25+30=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 27, 34, 4, 29 ]
94
[ "27+34=61", "4+29=33", "61+33=94" ]
Current State: 94:[27, 34, 4, 29], Operations: [] Exploring Operation: 27+34=61, Resulting Numbers: [4, 29, 61] Generated Node #2: [4, 29, 61] from Operation: 27+34=61 Current State: 94:[4, 29, 61], Operations: ['27+34=61'] Exploring Operation: 4+29=33, Resulting Numbers: [61, 33] Generated Node #3: [61, 33] from Operation: 4+29=33 Current State: 94:[61, 33], Operations: ['27+34=61', '4+29=33'] Exploring Operation: 61+33=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 37, 58, 23, 17 ]
61
[ "58-37=21", "23+17=40", "21+40=61" ]
Current State: 61:[37, 58, 23, 17], Operations: [] Exploring Operation: 58-37=21, Resulting Numbers: [23, 17, 21] Generated Node #2: [23, 17, 21] from Operation: 58-37=21 Current State: 61:[23, 17, 21], Operations: ['58-37=21'] Exploring Operation: 23+17=40, Resulting Numbers: [21, 40] Generated Node #3: [21, 40] from Operation: 23+17=40 Current State: 61:[21, 40], Operations: ['58-37=21', '23+17=40'] Exploring Operation: 21+40=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 78, 66, 72, 98 ]
38
[ "78-66=12", "98-72=26", "12+26=38" ]
Current State: 38:[78, 66, 72, 98], Operations: [] Exploring Operation: 78-66=12, Resulting Numbers: [72, 98, 12] Generated Node #2: [72, 98, 12] from Operation: 78-66=12 Current State: 38:[72, 98, 12], Operations: ['78-66=12'] Exploring Operation: 98-72=26, Resulting Numbers: [12, 26] Generated Node #3: [12, 26] from Operation: 98-72=26 Current State: 38:[12, 26], Operations: ['78-66=12', '98-72=26'] Exploring Operation: 12+26=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 55, 2, 3, 82 ]
99
[ "55+3=58", "82/2=41", "58+41=99" ]
Current State: 99:[55, 2, 3, 82], Operations: [] Exploring Operation: 55+3=58, Resulting Numbers: [2, 82, 58] Generated Node #2: [2, 82, 58] from Operation: 55+3=58 Current State: 99:[2, 82, 58], Operations: ['55+3=58'] Exploring Operation: 82/2=41, Resulting Numbers: [58, 41] Generated Node #3: [58, 41] from Operation: 82/2=41 Current State: 99:[58, 41], Operations: ['55+3=58', '82/2=41'] Exploring Operation: 58+41=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 11, 35, 86, 88 ]
77
[ "35+86=121", "121/11=11", "88-11=77" ]
Current State: 77:[11, 35, 86, 88], Operations: [] Exploring Operation: 35+86=121, Resulting Numbers: [11, 88, 121] Generated Node #2: [11, 88, 121] from Operation: 35+86=121 Current State: 77:[11, 88, 121], Operations: ['35+86=121'] Exploring Operation: 121/11=11, Resulting Numbers: [88, 11] Generated Node #3: [88, 11] from Operation: 121/11=11 Current State: 77:[88, 11], Operations: ['35+86=121', '121/11=11'] Exploring Operation: 88-11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 9, 31, 18, 57 ]
52
[ "18/9=2", "57-31=26", "2*26=52" ]
Current State: 52:[9, 31, 18, 57], Operations: [] Exploring Operation: 18/9=2, Resulting Numbers: [31, 57, 2] Generated Node #2: [31, 57, 2] from Operation: 18/9=2 Current State: 52:[31, 57, 2], Operations: ['18/9=2'] Exploring Operation: 57-31=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 57-31=26 Current State: 52:[2, 26], Operations: ['18/9=2', '57-31=26'] Exploring Operation: 2*26=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 98, 32, 5, 57 ]
27
[ "57-32=25", "5*25=125", "125-98=27" ]
Current State: 27:[98, 32, 5, 57], Operations: [] Exploring Operation: 57-32=25, Resulting Numbers: [98, 5, 25] Generated Node #2: [98, 5, 25] from Operation: 57-32=25 Current State: 27:[98, 5, 25], Operations: ['57-32=25'] Exploring Operation: 5*25=125, Resulting Numbers: [98, 125] Generated Node #3: [98, 125] from Operation: 5*25=125 Current State: 27:[98, 125], Operations: ['57-32=25', '5*25=125'] Exploring Operation: 125-98=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 33, 35, 16, 21 ]
35
[ "35-33=2", "16+21=37", "37-2=35" ]
Current State: 35:[33, 35, 16, 21], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [16, 21, 2] Generated Node #2: [16, 21, 2] from Operation: 35-33=2 Current State: 35:[16, 21, 2], Operations: ['35-33=2'] Exploring Operation: 16+21=37, Resulting Numbers: [2, 37] Generated Node #3: [2, 37] from Operation: 16+21=37 Current State: 35:[2, 37], Operations: ['35-33=2', '16+21=37'] Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 12, 47, 60, 37 ]
38
[ "12+47=59", "60+37=97", "97-59=38" ]
Current State: 38:[12, 47, 60, 37], Operations: [] Exploring Operation: 12+47=59, Resulting Numbers: [60, 37, 59] Generated Node #2: [60, 37, 59] from Operation: 12+47=59 Current State: 38:[60, 37, 59], Operations: ['12+47=59'] Exploring Operation: 60+37=97, Resulting Numbers: [59, 97] Generated Node #3: [59, 97] from Operation: 60+37=97 Current State: 38:[59, 97], Operations: ['12+47=59', '60+37=97'] Exploring Operation: 97-59=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 65, 23, 26, 88 ]
51
[ "65+88=153", "26-23=3", "153/3=51" ]
Current State: 51:[65, 23, 26, 88], Operations: [] Exploring Operation: 65+88=153, Resulting Numbers: [23, 26, 153] Generated Node #2: [23, 26, 153] from Operation: 65+88=153 Current State: 51:[23, 26, 153], Operations: ['65+88=153'] Exploring Operation: 26-23=3, Resulting Numbers: [153, 3] Generated Node #3: [153, 3] from Operation: 26-23=3 Current State: 51:[153, 3], Operations: ['65+88=153', '26-23=3'] Exploring Operation: 153/3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 24, 79, 2, 3 ]
75
[ "24/2=12", "12/3=4", "79-4=75" ]
Current State: 75:[24, 79, 2, 3], Operations: [] Exploring Operation: 24/2=12, Resulting Numbers: [79, 3, 12] Generated Node #2: [79, 3, 12] from Operation: 24/2=12 Current State: 75:[79, 3, 12], Operations: ['24/2=12'] Exploring Operation: 12/3=4, Resulting Numbers: [79, 4] Generated Node #3: [79, 4] from Operation: 12/3=4 Current State: 75:[79, 4], Operations: ['24/2=12', '12/3=4'] Exploring Operation: 79-4=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 43, 61, 56, 35 ]
83
[ "43+61=104", "56-35=21", "104-21=83" ]
Current State: 83:[43, 61, 56, 35], Operations: [] Exploring Operation: 43+61=104, Resulting Numbers: [56, 35, 104] Generated Node #2: [56, 35, 104] from Operation: 43+61=104 Current State: 83:[56, 35, 104], Operations: ['43+61=104'] Exploring Operation: 56-35=21, Resulting Numbers: [104, 21] Generated Node #3: [104, 21] from Operation: 56-35=21 Current State: 83:[104, 21], Operations: ['43+61=104', '56-35=21'] Exploring Operation: 104-21=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 70, 23, 11, 21 ]
40
[ "23-11=12", "70*12=840", "840/21=40" ]
Current State: 40:[70, 23, 11, 21], Operations: [] Exploring Operation: 23-11=12, Resulting Numbers: [70, 21, 12] Generated Node #2: [70, 21, 12] from Operation: 23-11=12 Current State: 40:[70, 21, 12], Operations: ['23-11=12'] Exploring Operation: 70*12=840, Resulting Numbers: [21, 840] Generated Node #3: [21, 840] from Operation: 70*12=840 Current State: 40:[21, 840], Operations: ['23-11=12', '70*12=840'] Exploring Operation: 840/21=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 31, 39, 7, 38 ]
23
[ "39-31=8", "38-7=31", "31-8=23" ]
Current State: 23:[31, 39, 7, 38], Operations: [] Exploring Operation: 39-31=8, Resulting Numbers: [7, 38, 8] Generated Node #2: [7, 38, 8] from Operation: 39-31=8 Current State: 23:[7, 38, 8], Operations: ['39-31=8'] Exploring Operation: 38-7=31, Resulting Numbers: [8, 31] Generated Node #3: [8, 31] from Operation: 38-7=31 Current State: 23:[8, 31], Operations: ['39-31=8', '38-7=31'] Exploring Operation: 31-8=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 8, 2, 6, 82 ]
50
[ "6-2=4", "8*4=32", "82-32=50" ]
Current State: 50:[8, 2, 6, 82], Operations: [] Exploring Operation: 6-2=4, Resulting Numbers: [8, 82, 4] Generated Node #2: [8, 82, 4] from Operation: 6-2=4 Current State: 50:[8, 82, 4], Operations: ['6-2=4'] Exploring Operation: 8*4=32, Resulting Numbers: [82, 32] Generated Node #3: [82, 32] from Operation: 8*4=32 Current State: 50:[82, 32], Operations: ['6-2=4', '8*4=32'] Exploring Operation: 82-32=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 30, 13, 82, 2 ]
80
[ "30/2=15", "13+82=95", "95-15=80" ]
Current State: 80:[30, 13, 82, 2], Operations: [] Exploring Operation: 30/2=15, Resulting Numbers: [13, 82, 15] Generated Node #2: [13, 82, 15] from Operation: 30/2=15 Current State: 80:[13, 82, 15], Operations: ['30/2=15'] Exploring Operation: 13+82=95, Resulting Numbers: [15, 95] Generated Node #3: [15, 95] from Operation: 13+82=95 Current State: 80:[15, 95], Operations: ['30/2=15', '13+82=95'] Exploring Operation: 95-15=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 59, 61, 39, 13 ]
52
[ "61-59=2", "39-13=26", "2*26=52" ]
Current State: 52:[59, 61, 39, 13], Operations: [] Exploring Operation: 61-59=2, Resulting Numbers: [39, 13, 2] Generated Node #2: [39, 13, 2] from Operation: 61-59=2 Current State: 52:[39, 13, 2], Operations: ['61-59=2'] Exploring Operation: 39-13=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 39-13=26 Current State: 52:[2, 26], Operations: ['61-59=2', '39-13=26'] Exploring Operation: 2*26=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 34, 31, 12, 23 ]
31
[ "34-12=22", "23-22=1", "31*1=31" ]
Current State: 31:[34, 31, 12, 23], Operations: [] Exploring Operation: 34-12=22, Resulting Numbers: [31, 23, 22] Generated Node #2: [31, 23, 22] from Operation: 34-12=22 Current State: 31:[31, 23, 22], Operations: ['34-12=22'] Exploring Operation: 23-22=1, Resulting Numbers: [31, 1] Generated Node #3: [31, 1] from Operation: 23-22=1 Current State: 31:[31, 1], Operations: ['34-12=22', '23-22=1'] Exploring Operation: 31*1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 99, 4, 38, 83 ]
36
[ "99-38=61", "83+61=144", "144/4=36" ]
Current State: 36:[99, 4, 38, 83], Operations: [] Exploring Operation: 99-38=61, Resulting Numbers: [4, 83, 61] Generated Node #2: [4, 83, 61] from Operation: 99-38=61 Current State: 36:[4, 83, 61], Operations: ['99-38=61'] Exploring Operation: 83+61=144, Resulting Numbers: [4, 144] Generated Node #3: [4, 144] from Operation: 83+61=144 Current State: 36:[4, 144], Operations: ['99-38=61', '83+61=144'] Exploring Operation: 144/4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 68, 76, 65, 72 ]
84
[ "72-68=4", "76/4=19", "65+19=84" ]
Current State: 84:[68, 76, 65, 72], Operations: [] Exploring Operation: 72-68=4, Resulting Numbers: [76, 65, 4] Generated Node #2: [76, 65, 4] from Operation: 72-68=4 Current State: 84:[76, 65, 4], Operations: ['72-68=4'] Exploring Operation: 76/4=19, Resulting Numbers: [65, 19] Generated Node #3: [65, 19] from Operation: 76/4=19 Current State: 84:[65, 19], Operations: ['72-68=4', '76/4=19'] Exploring Operation: 65+19=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 74, 42, 57, 9 ]
85
[ "42+57=99", "99/9=11", "74+11=85" ]
Current State: 85:[74, 42, 57, 9], Operations: [] Exploring Operation: 42+57=99, Resulting Numbers: [74, 9, 99] Generated Node #2: [74, 9, 99] from Operation: 42+57=99 Current State: 85:[74, 9, 99], Operations: ['42+57=99'] Exploring Operation: 99/9=11, Resulting Numbers: [74, 11] Generated Node #3: [74, 11] from Operation: 99/9=11 Current State: 85:[74, 11], Operations: ['42+57=99', '99/9=11'] Exploring Operation: 74+11=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 5, 8, 84, 4 ]
65
[ "84/4=21", "21-8=13", "5*13=65" ]
Current State: 65:[5, 8, 84, 4], Operations: [] Exploring Operation: 84/4=21, Resulting Numbers: [5, 8, 21] Generated Node #2: [5, 8, 21] from Operation: 84/4=21 Current State: 65:[5, 8, 21], Operations: ['84/4=21'] Exploring Operation: 21-8=13, Resulting Numbers: [5, 13] Generated Node #3: [5, 13] from Operation: 21-8=13 Current State: 65:[5, 13], Operations: ['84/4=21', '21-8=13'] Exploring Operation: 5*13=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 78, 57, 47, 55 ]
16
[ "57-55=2", "47*2=94", "94-78=16" ]
Current State: 16:[78, 57, 47, 55], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [78, 47, 2] Generated Node #2: [78, 47, 2] from Operation: 57-55=2 Current State: 16:[78, 47, 2], Operations: ['57-55=2'] Exploring Operation: 47*2=94, Resulting Numbers: [78, 94] Generated Node #3: [78, 94] from Operation: 47*2=94 Current State: 16:[78, 94], Operations: ['57-55=2', '47*2=94'] Exploring Operation: 94-78=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 73, 51, 60, 6 ]
86
[ "73*60=4380", "6+4380=4386", "4386/51=86" ]
Current State: 86:[73, 51, 60, 6], Operations: [] Exploring Operation: 73*60=4380, Resulting Numbers: [51, 6, 4380] Generated Node #2: [51, 6, 4380] from Operation: 73*60=4380 Current State: 86:[51, 6, 4380], Operations: ['73*60=4380'] Exploring Operation: 6+4380=4386, Resulting Numbers: [51, 4386] Generated Node #3: [51, 4386] from Operation: 6+4380=4386 Current State: 86:[51, 4386], Operations: ['73*60=4380', '6+4380=4386'] Exploring Operation: 4386/51=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 12, 66, 3, 25 ]
32
[ "66-12=54", "25-3=22", "54-22=32" ]
Current State: 32:[12, 66, 3, 25], Operations: [] Exploring Operation: 66-12=54, Resulting Numbers: [3, 25, 54] Generated Node #2: [3, 25, 54] from Operation: 66-12=54 Current State: 32:[3, 25, 54], Operations: ['66-12=54'] Exploring Operation: 25-3=22, Resulting Numbers: [54, 22] Generated Node #3: [54, 22] from Operation: 25-3=22 Current State: 32:[54, 22], Operations: ['66-12=54', '25-3=22'] Exploring Operation: 54-22=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 93, 67, 88, 16 ]
88
[ "93+67=160", "88-16=72", "160-72=88" ]
Current State: 88:[93, 67, 88, 16], Operations: [] Exploring Operation: 93+67=160, Resulting Numbers: [88, 16, 160] Generated Node #2: [88, 16, 160] from Operation: 93+67=160 Current State: 88:[88, 16, 160], Operations: ['93+67=160'] Exploring Operation: 88-16=72, Resulting Numbers: [160, 72] Generated Node #3: [160, 72] from Operation: 88-16=72 Current State: 88:[160, 72], Operations: ['93+67=160', '88-16=72'] Exploring Operation: 160-72=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 5, 21, 24, 95 ]
34
[ "5*21=105", "95-24=71", "105-71=34" ]
Current State: 34:[5, 21, 24, 95], Operations: [] Exploring Operation: 5*21=105, Resulting Numbers: [24, 95, 105] Generated Node #2: [24, 95, 105] from Operation: 5*21=105 Current State: 34:[24, 95, 105], Operations: ['5*21=105'] Exploring Operation: 95-24=71, Resulting Numbers: [105, 71] Generated Node #3: [105, 71] from Operation: 95-24=71 Current State: 34:[105, 71], Operations: ['5*21=105', '95-24=71'] Exploring Operation: 105-71=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 78, 6, 46, 85 ]
46
[ "78+6=84", "85-84=1", "46*1=46" ]
Current State: 46:[78, 6, 46, 85], Operations: [] Exploring Operation: 78+6=84, Resulting Numbers: [46, 85, 84] Generated Node #2: [46, 85, 84] from Operation: 78+6=84 Current State: 46:[46, 85, 84], Operations: ['78+6=84'] Exploring Operation: 85-84=1, Resulting Numbers: [46, 1] Generated Node #3: [46, 1] from Operation: 85-84=1 Current State: 46:[46, 1], Operations: ['78+6=84', '85-84=1'] Exploring Operation: 46*1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 42, 19, 96, 15 ]
66
[ "19-15=4", "96/4=24", "42+24=66" ]
Current State: 66:[42, 19, 96, 15], Operations: [] Exploring Operation: 19-15=4, Resulting Numbers: [42, 96, 4] Generated Node #2: [42, 96, 4] from Operation: 19-15=4 Current State: 66:[42, 96, 4], Operations: ['19-15=4'] Exploring Operation: 96/4=24, Resulting Numbers: [42, 24] Generated Node #3: [42, 24] from Operation: 96/4=24 Current State: 66:[42, 24], Operations: ['19-15=4', '96/4=24'] Exploring Operation: 42+24=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 78, 14, 66, 68 ]
94
[ "78+14=92", "68-66=2", "92+2=94" ]
Current State: 94:[78, 14, 66, 68], Operations: [] Exploring Operation: 78+14=92, Resulting Numbers: [66, 68, 92] Generated Node #2: [66, 68, 92] from Operation: 78+14=92 Current State: 94:[66, 68, 92], Operations: ['78+14=92'] Exploring Operation: 68-66=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 68-66=2 Current State: 94:[92, 2], Operations: ['78+14=92', '68-66=2'] Exploring Operation: 92+2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 38, 17, 79, 69 ]
31
[ "38-17=21", "79-69=10", "21+10=31" ]
Current State: 31:[38, 17, 79, 69], Operations: [] Exploring Operation: 38-17=21, Resulting Numbers: [79, 69, 21] Generated Node #2: [79, 69, 21] from Operation: 38-17=21 Current State: 31:[79, 69, 21], Operations: ['38-17=21'] Exploring Operation: 79-69=10, Resulting Numbers: [21, 10] Generated Node #3: [21, 10] from Operation: 79-69=10 Current State: 31:[21, 10], Operations: ['38-17=21', '79-69=10'] Exploring Operation: 21+10=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 59, 2, 32, 41 ]
55
[ "59-32=27", "2*41=82", "82-27=55" ]
Current State: 55:[59, 2, 32, 41], Operations: [] Exploring Operation: 59-32=27, Resulting Numbers: [2, 41, 27] Generated Node #2: [2, 41, 27] from Operation: 59-32=27 Current State: 55:[2, 41, 27], Operations: ['59-32=27'] Exploring Operation: 2*41=82, Resulting Numbers: [27, 82] Generated Node #3: [27, 82] from Operation: 2*41=82 Current State: 55:[27, 82], Operations: ['59-32=27', '2*41=82'] Exploring Operation: 82-27=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 46, 61, 26, 58 ]
23
[ "46+61=107", "26+58=84", "107-84=23" ]
Current State: 23:[46, 61, 26, 58], Operations: [] Exploring Operation: 46+61=107, Resulting Numbers: [26, 58, 107] Generated Node #2: [26, 58, 107] from Operation: 46+61=107 Current State: 23:[26, 58, 107], Operations: ['46+61=107'] Exploring Operation: 26+58=84, Resulting Numbers: [107, 84] Generated Node #3: [107, 84] from Operation: 26+58=84 Current State: 23:[107, 84], Operations: ['46+61=107', '26+58=84'] Exploring Operation: 107-84=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 50, 11, 54, 21 ]
95
[ "54-50=4", "21*4=84", "11+84=95" ]
Current State: 95:[50, 11, 54, 21], Operations: [] Exploring Operation: 54-50=4, Resulting Numbers: [11, 21, 4] Generated Node #2: [11, 21, 4] from Operation: 54-50=4 Current State: 95:[11, 21, 4], Operations: ['54-50=4'] Exploring Operation: 21*4=84, Resulting Numbers: [11, 84] Generated Node #3: [11, 84] from Operation: 21*4=84 Current State: 95:[11, 84], Operations: ['54-50=4', '21*4=84'] Exploring Operation: 11+84=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 90, 8, 41, 28 ]
85
[ "90+8=98", "41-28=13", "98-13=85" ]
Current State: 85:[90, 8, 41, 28], Operations: [] Exploring Operation: 90+8=98, Resulting Numbers: [41, 28, 98] Generated Node #2: [41, 28, 98] from Operation: 90+8=98 Current State: 85:[41, 28, 98], Operations: ['90+8=98'] Exploring Operation: 41-28=13, Resulting Numbers: [98, 13] Generated Node #3: [98, 13] from Operation: 41-28=13 Current State: 85:[98, 13], Operations: ['90+8=98', '41-28=13'] Exploring Operation: 98-13=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 6, 24, 12, 22 ]
25
[ "24/6=4", "12/4=3", "22+3=25" ]
Current State: 25:[6, 24, 12, 22], Operations: [] Exploring Operation: 24/6=4, Resulting Numbers: [12, 22, 4] Generated Node #2: [12, 22, 4] from Operation: 24/6=4 Current State: 25:[12, 22, 4], Operations: ['24/6=4'] Exploring Operation: 12/4=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 12/4=3 Current State: 25:[22, 3], Operations: ['24/6=4', '12/4=3'] Exploring Operation: 22+3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 47, 47, 74, 26 ]
48
[ "47-47=0", "74-26=48", "0+48=48" ]
Current State: 48:[47, 47, 74, 26], Operations: [] Exploring Operation: 47-47=0, Resulting Numbers: [74, 26, 0] Generated Node #2: [74, 26, 0] from Operation: 47-47=0 Current State: 48:[74, 26, 0], Operations: ['47-47=0'] Exploring Operation: 74-26=48, Resulting Numbers: [0, 48] Generated Node #3: [0, 48] from Operation: 74-26=48 Current State: 48:[0, 48], Operations: ['47-47=0', '74-26=48'] Exploring Operation: 0+48=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 17, 39, 15, 93 ]
56
[ "39-17=22", "93-15=78", "78-22=56" ]
Current State: 56:[17, 39, 15, 93], Operations: [] Exploring Operation: 39-17=22, Resulting Numbers: [15, 93, 22] Generated Node #2: [15, 93, 22] from Operation: 39-17=22 Current State: 56:[15, 93, 22], Operations: ['39-17=22'] Exploring Operation: 93-15=78, Resulting Numbers: [22, 78] Generated Node #3: [22, 78] from Operation: 93-15=78 Current State: 56:[22, 78], Operations: ['39-17=22', '93-15=78'] Exploring Operation: 78-22=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 69, 13, 89, 73 ]
66
[ "69+13=82", "89-73=16", "82-16=66" ]
Current State: 66:[69, 13, 89, 73], Operations: [] Exploring Operation: 69+13=82, Resulting Numbers: [89, 73, 82] Generated Node #2: [89, 73, 82] from Operation: 69+13=82 Current State: 66:[89, 73, 82], Operations: ['69+13=82'] Exploring Operation: 89-73=16, Resulting Numbers: [82, 16] Generated Node #3: [82, 16] from Operation: 89-73=16 Current State: 66:[82, 16], Operations: ['69+13=82', '89-73=16'] Exploring Operation: 82-16=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 11, 92, 6, 42 ]
23
[ "42/6=7", "11-7=4", "92/4=23" ]
Current State: 23:[11, 92, 6, 42], Operations: [] Exploring Operation: 42/6=7, Resulting Numbers: [11, 92, 7] Generated Node #2: [11, 92, 7] from Operation: 42/6=7 Current State: 23:[11, 92, 7], Operations: ['42/6=7'] Exploring Operation: 11-7=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation: 11-7=4 Current State: 23:[92, 4], Operations: ['42/6=7', '11-7=4'] Exploring Operation: 92/4=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 16, 80, 70, 78 ]
92
[ "80/16=5", "70/5=14", "78+14=92" ]
Current State: 92:[16, 80, 70, 78], Operations: [] Exploring Operation: 80/16=5, Resulting Numbers: [70, 78, 5] Generated Node #2: [70, 78, 5] from Operation: 80/16=5 Current State: 92:[70, 78, 5], Operations: ['80/16=5'] Exploring Operation: 70/5=14, Resulting Numbers: [78, 14] Generated Node #3: [78, 14] from Operation: 70/5=14 Current State: 92:[78, 14], Operations: ['80/16=5', '70/5=14'] Exploring Operation: 78+14=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 98, 85, 97, 80 ]
30
[ "98-85=13", "97-80=17", "13+17=30" ]
Current State: 30:[98, 85, 97, 80], Operations: [] Exploring Operation: 98-85=13, Resulting Numbers: [97, 80, 13] Generated Node #2: [97, 80, 13] from Operation: 98-85=13 Current State: 30:[97, 80, 13], Operations: ['98-85=13'] Exploring Operation: 97-80=17, Resulting Numbers: [13, 17] Generated Node #3: [13, 17] from Operation: 97-80=17 Current State: 30:[13, 17], Operations: ['98-85=13', '97-80=17'] Exploring Operation: 13+17=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 70, 72, 22, 45 ]
46
[ "72-70=2", "45-22=23", "2*23=46" ]
Current State: 46:[70, 72, 22, 45], Operations: [] Exploring Operation: 72-70=2, Resulting Numbers: [22, 45, 2] Generated Node #2: [22, 45, 2] from Operation: 72-70=2 Current State: 46:[22, 45, 2], Operations: ['72-70=2'] Exploring Operation: 45-22=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 45-22=23 Current State: 46:[2, 23], Operations: ['72-70=2', '45-22=23'] Exploring Operation: 2*23=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 75, 16, 1, 37 ]
53
[ "75+16=91", "1+37=38", "91-38=53" ]
Current State: 53:[75, 16, 1, 37], Operations: [] Exploring Operation: 75+16=91, Resulting Numbers: [1, 37, 91] Generated Node #2: [1, 37, 91] from Operation: 75+16=91 Current State: 53:[1, 37, 91], Operations: ['75+16=91'] Exploring Operation: 1+37=38, Resulting Numbers: [91, 38] Generated Node #3: [91, 38] from Operation: 1+37=38 Current State: 53:[91, 38], Operations: ['75+16=91', '1+37=38'] Exploring Operation: 91-38=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 1, 17, 5, 27 ]
63
[ "1+17=18", "5*18=90", "90-27=63" ]
Current State: 63:[1, 17, 5, 27], Operations: [] Exploring Operation: 1+17=18, Resulting Numbers: [5, 27, 18] Generated Node #2: [5, 27, 18] from Operation: 1+17=18 Current State: 63:[5, 27, 18], Operations: ['1+17=18'] Exploring Operation: 5*18=90, Resulting Numbers: [27, 90] Generated Node #3: [27, 90] from Operation: 5*18=90 Current State: 63:[27, 90], Operations: ['1+17=18', '5*18=90'] Exploring Operation: 90-27=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 76, 19, 99, 72 ]
84
[ "76-19=57", "99-72=27", "57+27=84" ]
Current State: 84:[76, 19, 99, 72], Operations: [] Exploring Operation: 76-19=57, Resulting Numbers: [99, 72, 57] Generated Node #2: [99, 72, 57] from Operation: 76-19=57 Current State: 84:[99, 72, 57], Operations: ['76-19=57'] Exploring Operation: 99-72=27, Resulting Numbers: [57, 27] Generated Node #3: [57, 27] from Operation: 99-72=27 Current State: 84:[57, 27], Operations: ['76-19=57', '99-72=27'] Exploring Operation: 57+27=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 66, 62, 93, 46 ]
90
[ "66*62=4092", "4092/93=44", "46+44=90" ]
Current State: 90:[66, 62, 93, 46], Operations: [] Exploring Operation: 66*62=4092, Resulting Numbers: [93, 46, 4092] Generated Node #2: [93, 46, 4092] from Operation: 66*62=4092 Current State: 90:[93, 46, 4092], Operations: ['66*62=4092'] Exploring Operation: 4092/93=44, Resulting Numbers: [46, 44] Generated Node #3: [46, 44] from Operation: 4092/93=44 Current State: 90:[46, 44], Operations: ['66*62=4092', '4092/93=44'] Exploring Operation: 46+44=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 7, 72, 69, 49 ]
92
[ "72-49=23", "7*23=161", "161-69=92" ]
Current State: 92:[7, 72, 69, 49], Operations: [] Exploring Operation: 72-49=23, Resulting Numbers: [7, 69, 23] Generated Node #2: [7, 69, 23] from Operation: 72-49=23 Current State: 92:[7, 69, 23], Operations: ['72-49=23'] Exploring Operation: 7*23=161, Resulting Numbers: [69, 161] Generated Node #3: [69, 161] from Operation: 7*23=161 Current State: 92:[69, 161], Operations: ['72-49=23', '7*23=161'] Exploring Operation: 161-69=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 3, 88, 77, 55 ]
22
[ "88-77=11", "3*11=33", "55-33=22" ]
Current State: 22:[3, 88, 77, 55], Operations: [] Exploring Operation: 88-77=11, Resulting Numbers: [3, 55, 11] Generated Node #2: [3, 55, 11] from Operation: 88-77=11 Current State: 22:[3, 55, 11], Operations: ['88-77=11'] Exploring Operation: 3*11=33, Resulting Numbers: [55, 33] Generated Node #3: [55, 33] from Operation: 3*11=33 Current State: 22:[55, 33], Operations: ['88-77=11', '3*11=33'] Exploring Operation: 55-33=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 35, 7, 60, 54 ]
77
[ "60-54=6", "7*6=42", "35+42=77" ]
Current State: 77:[35, 7, 60, 54], Operations: [] Exploring Operation: 60-54=6, Resulting Numbers: [35, 7, 6] Generated Node #2: [35, 7, 6] from Operation: 60-54=6 Current State: 77:[35, 7, 6], Operations: ['60-54=6'] Exploring Operation: 7*6=42, Resulting Numbers: [35, 42] Generated Node #3: [35, 42] from Operation: 7*6=42 Current State: 77:[35, 42], Operations: ['60-54=6', '7*6=42'] Exploring Operation: 35+42=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 10, 47, 97, 13 ]
14
[ "10*13=130", "47+97=144", "144-130=14" ]
Current State: 14:[10, 47, 97, 13], Operations: [] Exploring Operation: 10*13=130, Resulting Numbers: [47, 97, 130] Generated Node #2: [47, 97, 130] from Operation: 10*13=130 Current State: 14:[47, 97, 130], Operations: ['10*13=130'] Exploring Operation: 47+97=144, Resulting Numbers: [130, 144] Generated Node #3: [130, 144] from Operation: 47+97=144 Current State: 14:[130, 144], Operations: ['10*13=130', '47+97=144'] Exploring Operation: 144-130=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 95, 8, 32, 85 ]
76
[ "95+85=180", "8*32=256", "256-180=76" ]
Current State: 76:[95, 8, 32, 85], Operations: [] Exploring Operation: 95+85=180, Resulting Numbers: [8, 32, 180] Generated Node #2: [8, 32, 180] from Operation: 95+85=180 Current State: 76:[8, 32, 180], Operations: ['95+85=180'] Exploring Operation: 8*32=256, Resulting Numbers: [180, 256] Generated Node #3: [180, 256] from Operation: 8*32=256 Current State: 76:[180, 256], Operations: ['95+85=180', '8*32=256'] Exploring Operation: 256-180=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 2, 65, 80, 4 ]
25
[ "2*80=160", "160/4=40", "65-40=25" ]
Current State: 25:[2, 65, 80, 4], Operations: [] Exploring Operation: 2*80=160, Resulting Numbers: [65, 4, 160] Generated Node #2: [65, 4, 160] from Operation: 2*80=160 Current State: 25:[65, 4, 160], Operations: ['2*80=160'] Exploring Operation: 160/4=40, Resulting Numbers: [65, 40] Generated Node #3: [65, 40] from Operation: 160/4=40 Current State: 25:[65, 40], Operations: ['2*80=160', '160/4=40'] Exploring Operation: 65-40=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 4, 88, 70, 25 ]
92
[ "70-25=45", "4*45=180", "180-88=92" ]
Current State: 92:[4, 88, 70, 25], Operations: [] Exploring Operation: 70-25=45, Resulting Numbers: [4, 88, 45] Generated Node #2: [4, 88, 45] from Operation: 70-25=45 Current State: 92:[4, 88, 45], Operations: ['70-25=45'] Exploring Operation: 4*45=180, Resulting Numbers: [88, 180] Generated Node #3: [88, 180] from Operation: 4*45=180 Current State: 92:[88, 180], Operations: ['70-25=45', '4*45=180'] Exploring Operation: 180-88=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 71, 56, 79, 85 ]
75
[ "85-71=14", "56/14=4", "79-4=75" ]
Current State: 75:[71, 56, 79, 85], Operations: [] Exploring Operation: 85-71=14, Resulting Numbers: [56, 79, 14] Generated Node #2: [56, 79, 14] from Operation: 85-71=14 Current State: 75:[56, 79, 14], Operations: ['85-71=14'] Exploring Operation: 56/14=4, Resulting Numbers: [79, 4] Generated Node #3: [79, 4] from Operation: 56/14=4 Current State: 75:[79, 4], Operations: ['85-71=14', '56/14=4'] Exploring Operation: 79-4=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 10, 50, 55, 35 ]
52
[ "55-35=20", "20/10=2", "50+2=52" ]
Current State: 52:[10, 50, 55, 35], Operations: [] Exploring Operation: 55-35=20, Resulting Numbers: [10, 50, 20] Generated Node #2: [10, 50, 20] from Operation: 55-35=20 Current State: 52:[10, 50, 20], Operations: ['55-35=20'] Exploring Operation: 20/10=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 20/10=2 Current State: 52:[50, 2], Operations: ['55-35=20', '20/10=2'] Exploring Operation: 50+2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 2, 51, 42, 4 ]
54
[ "2+4=6", "51-42=9", "6*9=54" ]
Current State: 54:[2, 51, 42, 4], Operations: [] Exploring Operation: 2+4=6, Resulting Numbers: [51, 42, 6] Generated Node #2: [51, 42, 6] from Operation: 2+4=6 Current State: 54:[51, 42, 6], Operations: ['2+4=6'] Exploring Operation: 51-42=9, Resulting Numbers: [6, 9] Generated Node #3: [6, 9] from Operation: 51-42=9 Current State: 54:[6, 9], Operations: ['2+4=6', '51-42=9'] Exploring Operation: 6*9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 56, 35, 33, 50 ]
44
[ "35-33=2", "50*2=100", "100-56=44" ]
Current State: 44:[56, 35, 33, 50], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [56, 50, 2] Generated Node #2: [56, 50, 2] from Operation: 35-33=2 Current State: 44:[56, 50, 2], Operations: ['35-33=2'] Exploring Operation: 50*2=100, Resulting Numbers: [56, 100] Generated Node #3: [56, 100] from Operation: 50*2=100 Current State: 44:[56, 100], Operations: ['35-33=2', '50*2=100'] Exploring Operation: 100-56=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 60, 20, 79, 45 ]
44
[ "60+20=80", "79+45=124", "124-80=44" ]
Current State: 44:[60, 20, 79, 45], Operations: [] Exploring Operation: 60+20=80, Resulting Numbers: [79, 45, 80] Generated Node #2: [79, 45, 80] from Operation: 60+20=80 Current State: 44:[79, 45, 80], Operations: ['60+20=80'] Exploring Operation: 79+45=124, Resulting Numbers: [80, 124] Generated Node #3: [80, 124] from Operation: 79+45=124 Current State: 44:[80, 124], Operations: ['60+20=80', '79+45=124'] Exploring Operation: 124-80=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 67, 9, 77, 12 ]
12
[ "67+9=76", "77-76=1", "12*1=12" ]
Current State: 12:[67, 9, 77, 12], Operations: [] Exploring Operation: 67+9=76, Resulting Numbers: [77, 12, 76] Generated Node #2: [77, 12, 76] from Operation: 67+9=76 Current State: 12:[77, 12, 76], Operations: ['67+9=76'] Exploring Operation: 77-76=1, Resulting Numbers: [12, 1] Generated Node #3: [12, 1] from Operation: 77-76=1 Current State: 12:[12, 1], Operations: ['67+9=76', '77-76=1'] Exploring Operation: 12*1=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 79, 61, 97, 12 ]
91
[ "79-61=18", "97+12=109", "109-18=91" ]
Current State: 91:[79, 61, 97, 12], Operations: [] Exploring Operation: 79-61=18, Resulting Numbers: [97, 12, 18] Generated Node #2: [97, 12, 18] from Operation: 79-61=18 Current State: 91:[97, 12, 18], Operations: ['79-61=18'] Exploring Operation: 97+12=109, Resulting Numbers: [18, 109] Generated Node #3: [18, 109] from Operation: 97+12=109 Current State: 91:[18, 109], Operations: ['79-61=18', '97+12=109'] Exploring Operation: 109-18=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4