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
[ 56, 69, 5, 18 ]
36
[ "69-56=13", "5+18=23", "13+23=36" ]
Current State: 36:[56, 69, 5, 18], Operations: [] Exploring Operation: 69-56=13, Resulting Numbers: [5, 18, 13] Generated Node #2: [5, 18, 13] from Operation: 69-56=13 Current State: 36:[5, 18, 13], Operations: ['69-56=13'] Exploring Operation: 5+18=23, Resulting Numbers: [13, 23] Generated Node #3: [13, 23] from Operation: 5+18=23 Current State: 36:[13, 23], Operations: ['69-56=13', '5+18=23'] Exploring Operation: 13+23=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 78, 35, 97, 6 ]
56
[ "35+97=132", "132/6=22", "78-22=56" ]
Current State: 56:[78, 35, 97, 6], Operations: [] Exploring Operation: 35+97=132, Resulting Numbers: [78, 6, 132] Generated Node #2: [78, 6, 132] from Operation: 35+97=132 Current State: 56:[78, 6, 132], Operations: ['35+97=132'] Exploring Operation: 132/6=22, Resulting Numbers: [78, 22] Generated Node #3: [78, 22] from Operation: 132/6=22 Current State: 56:[78, 22], Operations: ['35+97=132', '132/6=22'] Exploring Operation: 78-22=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 2, 84, 71, 84 ]
73
[ "2+84=86", "84-71=13", "86-13=73" ]
Current State: 73:[2, 84, 71, 84], Operations: [] Exploring Operation: 2+84=86, Resulting Numbers: [71, 86] Generated Node #2: [71, 86] from Operation: 2+84=86 Current State: 73:[71, 86], Operations: ['2+84=86'] Exploring Operation: 84-71=13, Resulting Numbers: [86, 13] Generated Node #3: [86, 13] from Operation: 84-71=13 Current State: 73:[86, 13], Operations: ['2+84=86', '84-71=13'] Exploring Operation: 86-13=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 42, 63, 88, 34 ]
36
[ "88-34=54", "42*54=2268", "2268/63=36" ]
Current State: 36:[42, 63, 88, 34], Operations: [] Exploring Operation: 88-34=54, Resulting Numbers: [42, 63, 54] Generated Node #2: [42, 63, 54] from Operation: 88-34=54 Current State: 36:[42, 63, 54], Operations: ['88-34=54'] Exploring Operation: 42*54=2268, Resulting Numbers: [63, 2268] Generated Node #3: [63, 2268] from Operation: 42*54=2268 Current State: 36:[63, 2268], Operations: ['88-34=54', '42*54=2268'] Exploring Operation: 2268/63=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 64, 58, 20, 16 ]
86
[ "64+58=122", "20+16=36", "122-36=86" ]
Current State: 86:[64, 58, 20, 16], Operations: [] Exploring Operation: 64+58=122, Resulting Numbers: [20, 16, 122] Generated Node #2: [20, 16, 122] from Operation: 64+58=122 Current State: 86:[20, 16, 122], Operations: ['64+58=122'] Exploring Operation: 20+16=36, Resulting Numbers: [122, 36] Generated Node #3: [122, 36] from Operation: 20+16=36 Current State: 86:[122, 36], Operations: ['64+58=122', '20+16=36'] Exploring Operation: 122-36=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 24, 25, 36, 1 ]
12
[ "24+25=49", "36+1=37", "49-37=12" ]
Current State: 12:[24, 25, 36, 1], Operations: [] Exploring Operation: 24+25=49, Resulting Numbers: [36, 1, 49] Generated Node #2: [36, 1, 49] from Operation: 24+25=49 Current State: 12:[36, 1, 49], Operations: ['24+25=49'] Exploring Operation: 36+1=37, Resulting Numbers: [49, 37] Generated Node #3: [49, 37] from Operation: 36+1=37 Current State: 12:[49, 37], Operations: ['24+25=49', '36+1=37'] Exploring Operation: 49-37=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 4, 47, 69, 12 ]
38
[ "47-4=43", "69+12=81", "81-43=38" ]
Current State: 38:[4, 47, 69, 12], Operations: [] Exploring Operation: 47-4=43, Resulting Numbers: [69, 12, 43] Generated Node #2: [69, 12, 43] from Operation: 47-4=43 Current State: 38:[69, 12, 43], Operations: ['47-4=43'] Exploring Operation: 69+12=81, Resulting Numbers: [43, 81] Generated Node #3: [43, 81] from Operation: 69+12=81 Current State: 38:[43, 81], Operations: ['47-4=43', '69+12=81'] Exploring Operation: 81-43=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 85, 2, 90, 90 ]
82
[ "85-2=83", "90/90=1", "83-1=82" ]
Current State: 82:[85, 2, 90, 90], Operations: [] Exploring Operation: 85-2=83, Resulting Numbers: [90, 90, 83] Generated Node #2: [90, 90, 83] from Operation: 85-2=83 Current State: 82:[90, 90, 83], Operations: ['85-2=83'] Exploring Operation: 90/90=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 90/90=1 Current State: 82:[83, 1], Operations: ['85-2=83', '90/90=1'] Exploring Operation: 83-1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 73, 60, 39, 14 ]
12
[ "73-60=13", "39-14=25", "25-13=12" ]
Current State: 12:[73, 60, 39, 14], Operations: [] Exploring Operation: 73-60=13, Resulting Numbers: [39, 14, 13] Generated Node #2: [39, 14, 13] from Operation: 73-60=13 Current State: 12:[39, 14, 13], Operations: ['73-60=13'] Exploring Operation: 39-14=25, Resulting Numbers: [13, 25] Generated Node #3: [13, 25] from Operation: 39-14=25 Current State: 12:[13, 25], Operations: ['73-60=13', '39-14=25'] Exploring Operation: 25-13=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 1, 92, 86, 13 ]
19
[ "1*92=92", "86-13=73", "92-73=19" ]
Current State: 19:[1, 92, 86, 13], Operations: [] Exploring Operation: 1*92=92, Resulting Numbers: [86, 13, 92] Generated Node #2: [86, 13, 92] from Operation: 1*92=92 Current State: 19:[86, 13, 92], Operations: ['1*92=92'] Exploring Operation: 86-13=73, Resulting Numbers: [92, 73] Generated Node #3: [92, 73] from Operation: 86-13=73 Current State: 19:[92, 73], Operations: ['1*92=92', '86-13=73'] Exploring Operation: 92-73=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 88, 1, 74, 38 ]
86
[ "38-1=37", "74/37=2", "88-2=86" ]
Current State: 86:[88, 1, 74, 38], Operations: [] Exploring Operation: 38-1=37, Resulting Numbers: [88, 74, 37] Generated Node #2: [88, 74, 37] from Operation: 38-1=37 Current State: 86:[88, 74, 37], Operations: ['38-1=37'] Exploring Operation: 74/37=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 74/37=2 Current State: 86:[88, 2], Operations: ['38-1=37', '74/37=2'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 76, 74, 19, 68 ]
30
[ "76-74=2", "19*2=38", "68-38=30" ]
Current State: 30:[76, 74, 19, 68], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [19, 68, 2] Generated Node #2: [19, 68, 2] from Operation: 76-74=2 Current State: 30:[19, 68, 2], Operations: ['76-74=2'] Exploring Operation: 19*2=38, Resulting Numbers: [68, 38] Generated Node #3: [68, 38] from Operation: 19*2=38 Current State: 30:[68, 38], Operations: ['76-74=2', '19*2=38'] Exploring Operation: 68-38=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 54, 90, 13, 2 ]
100
[ "90-13=77", "2*77=154", "154-54=100" ]
Current State: 100:[54, 90, 13, 2], Operations: [] Exploring Operation: 90-13=77, Resulting Numbers: [54, 2, 77] Generated Node #2: [54, 2, 77] from Operation: 90-13=77 Current State: 100:[54, 2, 77], Operations: ['90-13=77'] Exploring Operation: 2*77=154, Resulting Numbers: [54, 154] Generated Node #3: [54, 154] from Operation: 2*77=154 Current State: 100:[54, 154], Operations: ['90-13=77', '2*77=154'] Exploring Operation: 154-54=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 62, 92, 79, 2 ]
58
[ "79-62=17", "2*17=34", "92-34=58" ]
Current State: 58:[62, 92, 79, 2], Operations: [] Exploring Operation: 79-62=17, Resulting Numbers: [92, 2, 17] Generated Node #2: [92, 2, 17] from Operation: 79-62=17 Current State: 58:[92, 2, 17], Operations: ['79-62=17'] Exploring Operation: 2*17=34, Resulting Numbers: [92, 34] Generated Node #3: [92, 34] from Operation: 2*17=34 Current State: 58:[92, 34], Operations: ['79-62=17', '2*17=34'] Exploring Operation: 92-34=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 80, 51, 4, 66 ]
91
[ "80-51=29", "66-4=62", "29+62=91" ]
Current State: 91:[80, 51, 4, 66], Operations: [] Exploring Operation: 80-51=29, Resulting Numbers: [4, 66, 29] Generated Node #2: [4, 66, 29] from Operation: 80-51=29 Current State: 91:[4, 66, 29], Operations: ['80-51=29'] Exploring Operation: 66-4=62, Resulting Numbers: [29, 62] Generated Node #3: [29, 62] from Operation: 66-4=62 Current State: 91:[29, 62], Operations: ['80-51=29', '66-4=62'] Exploring Operation: 29+62=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 49, 42, 17, 19 ]
46
[ "49+19=68", "68/17=4", "42+4=46" ]
Current State: 46:[49, 42, 17, 19], Operations: [] Exploring Operation: 49+19=68, Resulting Numbers: [42, 17, 68] Generated Node #2: [42, 17, 68] from Operation: 49+19=68 Current State: 46:[42, 17, 68], Operations: ['49+19=68'] Exploring Operation: 68/17=4, Resulting Numbers: [42, 4] Generated Node #3: [42, 4] from Operation: 68/17=4 Current State: 46:[42, 4], Operations: ['49+19=68', '68/17=4'] Exploring Operation: 42+4=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 37, 23, 22, 98 ]
60
[ "37+23=60", "22+98=120", "120-60=60" ]
Current State: 60:[37, 23, 22, 98], Operations: [] Exploring Operation: 37+23=60, Resulting Numbers: [22, 98, 60] Generated Node #2: [22, 98, 60] from Operation: 37+23=60 Current State: 60:[22, 98, 60], Operations: ['37+23=60'] Exploring Operation: 22+98=120, Resulting Numbers: [60, 120] Generated Node #3: [60, 120] from Operation: 22+98=120 Current State: 60:[60, 120], Operations: ['37+23=60', '22+98=120'] Exploring Operation: 120-60=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 69, 9, 15, 58 ]
35
[ "69+9=78", "58-15=43", "78-43=35" ]
Current State: 35:[69, 9, 15, 58], Operations: [] Exploring Operation: 69+9=78, Resulting Numbers: [15, 58, 78] Generated Node #2: [15, 58, 78] from Operation: 69+9=78 Current State: 35:[15, 58, 78], Operations: ['69+9=78'] Exploring Operation: 58-15=43, Resulting Numbers: [78, 43] Generated Node #3: [78, 43] from Operation: 58-15=43 Current State: 35:[78, 43], Operations: ['69+9=78', '58-15=43'] Exploring Operation: 78-43=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 2, 54, 57, 26 ]
84
[ "2+26=28", "57-54=3", "28*3=84" ]
Current State: 84:[2, 54, 57, 26], Operations: [] Exploring Operation: 2+26=28, Resulting Numbers: [54, 57, 28] Generated Node #2: [54, 57, 28] from Operation: 2+26=28 Current State: 84:[54, 57, 28], Operations: ['2+26=28'] Exploring Operation: 57-54=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 57-54=3 Current State: 84:[28, 3], Operations: ['2+26=28', '57-54=3'] Exploring Operation: 28*3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 83, 20, 26, 71 ]
72
[ "83-71=12", "26-20=6", "12*6=72" ]
Current State: 72:[83, 20, 26, 71], Operations: [] Exploring Operation: 83-71=12, Resulting Numbers: [20, 26, 12] Generated Node #2: [20, 26, 12] from Operation: 83-71=12 Current State: 72:[20, 26, 12], Operations: ['83-71=12'] Exploring Operation: 26-20=6, Resulting Numbers: [12, 6] Generated Node #3: [12, 6] from Operation: 26-20=6 Current State: 72:[12, 6], Operations: ['83-71=12', '26-20=6'] Exploring Operation: 12*6=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 86, 18, 28, 19 ]
76
[ "28-19=9", "18*9=162", "162-86=76" ]
Current State: 76:[86, 18, 28, 19], Operations: [] Exploring Operation: 28-19=9, Resulting Numbers: [86, 18, 9] Generated Node #2: [86, 18, 9] from Operation: 28-19=9 Current State: 76:[86, 18, 9], Operations: ['28-19=9'] Exploring Operation: 18*9=162, Resulting Numbers: [86, 162] Generated Node #3: [86, 162] from Operation: 18*9=162 Current State: 76:[86, 162], Operations: ['28-19=9', '18*9=162'] Exploring Operation: 162-86=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 36, 41, 26, 37 ]
39
[ "41+37=78", "78/26=3", "36+3=39" ]
Current State: 39:[36, 41, 26, 37], Operations: [] Exploring Operation: 41+37=78, Resulting Numbers: [36, 26, 78] Generated Node #2: [36, 26, 78] from Operation: 41+37=78 Current State: 39:[36, 26, 78], Operations: ['41+37=78'] Exploring Operation: 78/26=3, Resulting Numbers: [36, 3] Generated Node #3: [36, 3] from Operation: 78/26=3 Current State: 39:[36, 3], Operations: ['41+37=78', '78/26=3'] Exploring Operation: 36+3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 73, 36, 33, 91 ]
54
[ "91-73=18", "36-33=3", "18*3=54" ]
Current State: 54:[73, 36, 33, 91], Operations: [] Exploring Operation: 91-73=18, Resulting Numbers: [36, 33, 18] Generated Node #2: [36, 33, 18] from Operation: 91-73=18 Current State: 54:[36, 33, 18], Operations: ['91-73=18'] Exploring Operation: 36-33=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 36-33=3 Current State: 54:[18, 3], Operations: ['91-73=18', '36-33=3'] Exploring Operation: 18*3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 29, 5, 79, 79 ]
13
[ "29*5=145", "79+79=158", "158-145=13" ]
Current State: 13:[29, 5, 79, 79], Operations: [] Exploring Operation: 29*5=145, Resulting Numbers: [79, 79, 145] Generated Node #2: [79, 79, 145] from Operation: 29*5=145 Current State: 13:[79, 79, 145], Operations: ['29*5=145'] Exploring Operation: 79+79=158, Resulting Numbers: [145, 158] Generated Node #3: [145, 158] from Operation: 79+79=158 Current State: 13:[145, 158], Operations: ['29*5=145', '79+79=158'] Exploring Operation: 158-145=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 12, 62, 90, 40 ]
56
[ "12+62=74", "90+40=130", "130-74=56" ]
Current State: 56:[12, 62, 90, 40], Operations: [] Exploring Operation: 12+62=74, Resulting Numbers: [90, 40, 74] Generated Node #2: [90, 40, 74] from Operation: 12+62=74 Current State: 56:[90, 40, 74], Operations: ['12+62=74'] Exploring Operation: 90+40=130, Resulting Numbers: [74, 130] Generated Node #3: [74, 130] from Operation: 90+40=130 Current State: 56:[74, 130], Operations: ['12+62=74', '90+40=130'] Exploring Operation: 130-74=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 6, 11, 25, 9 ]
64
[ "9-6=3", "25*3=75", "75-11=64" ]
Current State: 64:[6, 11, 25, 9], Operations: [] Exploring Operation: 9-6=3, Resulting Numbers: [11, 25, 3] Generated Node #2: [11, 25, 3] from Operation: 9-6=3 Current State: 64:[11, 25, 3], Operations: ['9-6=3'] Exploring Operation: 25*3=75, Resulting Numbers: [11, 75] Generated Node #3: [11, 75] from Operation: 25*3=75 Current State: 64:[11, 75], Operations: ['9-6=3', '25*3=75'] Exploring Operation: 75-11=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 1, 61, 60, 66 ]
66
[ "1*61=61", "61-60=1", "66*1=66" ]
Current State: 66:[1, 61, 60, 66], Operations: [] Exploring Operation: 1*61=61, Resulting Numbers: [60, 66, 61] Generated Node #2: [60, 66, 61] from Operation: 1*61=61 Current State: 66:[60, 66, 61], Operations: ['1*61=61'] Exploring Operation: 61-60=1, Resulting Numbers: [66, 1] Generated Node #3: [66, 1] from Operation: 61-60=1 Current State: 66:[66, 1], Operations: ['1*61=61', '61-60=1'] Exploring Operation: 66*1=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 20, 96, 23, 62 ]
77
[ "20+96=116", "62-23=39", "116-39=77" ]
Current State: 77:[20, 96, 23, 62], Operations: [] Exploring Operation: 20+96=116, Resulting Numbers: [23, 62, 116] Generated Node #2: [23, 62, 116] from Operation: 20+96=116 Current State: 77:[23, 62, 116], Operations: ['20+96=116'] Exploring Operation: 62-23=39, Resulting Numbers: [116, 39] Generated Node #3: [116, 39] from Operation: 62-23=39 Current State: 77:[116, 39], Operations: ['20+96=116', '62-23=39'] Exploring Operation: 116-39=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 85, 72, 74, 2 ]
81
[ "85+72=157", "74+2=76", "157-76=81" ]
Current State: 81:[85, 72, 74, 2], Operations: [] Exploring Operation: 85+72=157, Resulting Numbers: [74, 2, 157] Generated Node #2: [74, 2, 157] from Operation: 85+72=157 Current State: 81:[74, 2, 157], Operations: ['85+72=157'] Exploring Operation: 74+2=76, Resulting Numbers: [157, 76] Generated Node #3: [157, 76] from Operation: 74+2=76 Current State: 81:[157, 76], Operations: ['85+72=157', '74+2=76'] Exploring Operation: 157-76=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 13, 16, 2, 85 ]
41
[ "16-13=3", "85-3=82", "82/2=41" ]
Current State: 41:[13, 16, 2, 85], Operations: [] Exploring Operation: 16-13=3, Resulting Numbers: [2, 85, 3] Generated Node #2: [2, 85, 3] from Operation: 16-13=3 Current State: 41:[2, 85, 3], Operations: ['16-13=3'] Exploring Operation: 85-3=82, Resulting Numbers: [2, 82] Generated Node #3: [2, 82] from Operation: 85-3=82 Current State: 41:[2, 82], Operations: ['16-13=3', '85-3=82'] Exploring Operation: 82/2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 57, 30, 9, 79 ]
82
[ "57-30=27", "27/9=3", "79+3=82" ]
Current State: 82:[57, 30, 9, 79], Operations: [] Exploring Operation: 57-30=27, Resulting Numbers: [9, 79, 27] Generated Node #2: [9, 79, 27] from Operation: 57-30=27 Current State: 82:[9, 79, 27], Operations: ['57-30=27'] Exploring Operation: 27/9=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 27/9=3 Current State: 82:[79, 3], Operations: ['57-30=27', '27/9=3'] Exploring Operation: 79+3=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 32, 93, 42, 72 ]
60
[ "93+42=135", "32*135=4320", "4320/72=60" ]
Current State: 60:[32, 93, 42, 72], Operations: [] Exploring Operation: 93+42=135, Resulting Numbers: [32, 72, 135] Generated Node #2: [32, 72, 135] from Operation: 93+42=135 Current State: 60:[32, 72, 135], Operations: ['93+42=135'] Exploring Operation: 32*135=4320, Resulting Numbers: [72, 4320] Generated Node #3: [72, 4320] from Operation: 32*135=4320 Current State: 60:[72, 4320], Operations: ['93+42=135', '32*135=4320'] Exploring Operation: 4320/72=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 4, 27, 12, 59 ]
28
[ "4+59=63", "12*63=756", "756/27=28" ]
Current State: 28:[4, 27, 12, 59], Operations: [] Exploring Operation: 4+59=63, Resulting Numbers: [27, 12, 63] Generated Node #2: [27, 12, 63] from Operation: 4+59=63 Current State: 28:[27, 12, 63], Operations: ['4+59=63'] Exploring Operation: 12*63=756, Resulting Numbers: [27, 756] Generated Node #3: [27, 756] from Operation: 12*63=756 Current State: 28:[27, 756], Operations: ['4+59=63', '12*63=756'] Exploring Operation: 756/27=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 75, 49, 86, 72 ]
40
[ "75-49=26", "86-72=14", "26+14=40" ]
Current State: 40:[75, 49, 86, 72], Operations: [] Exploring Operation: 75-49=26, Resulting Numbers: [86, 72, 26] Generated Node #2: [86, 72, 26] from Operation: 75-49=26 Current State: 40:[86, 72, 26], Operations: ['75-49=26'] Exploring Operation: 86-72=14, Resulting Numbers: [26, 14] Generated Node #3: [26, 14] from Operation: 86-72=14 Current State: 40:[26, 14], Operations: ['75-49=26', '86-72=14'] Exploring Operation: 26+14=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 85, 83, 93, 11 ]
69
[ "83+93=176", "176/11=16", "85-16=69" ]
Current State: 69:[85, 83, 93, 11], Operations: [] Exploring Operation: 83+93=176, Resulting Numbers: [85, 11, 176] Generated Node #2: [85, 11, 176] from Operation: 83+93=176 Current State: 69:[85, 11, 176], Operations: ['83+93=176'] Exploring Operation: 176/11=16, Resulting Numbers: [85, 16] Generated Node #3: [85, 16] from Operation: 176/11=16 Current State: 69:[85, 16], Operations: ['83+93=176', '176/11=16'] Exploring Operation: 85-16=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 22, 49, 19, 29 ]
21
[ "49-22=27", "19+29=48", "48-27=21" ]
Current State: 21:[22, 49, 19, 29], Operations: [] Exploring Operation: 49-22=27, Resulting Numbers: [19, 29, 27] Generated Node #2: [19, 29, 27] from Operation: 49-22=27 Current State: 21:[19, 29, 27], Operations: ['49-22=27'] Exploring Operation: 19+29=48, Resulting Numbers: [27, 48] Generated Node #3: [27, 48] from Operation: 19+29=48 Current State: 21:[27, 48], Operations: ['49-22=27', '19+29=48'] Exploring Operation: 48-27=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 3, 58, 84, 9 ]
95
[ "84/3=28", "58+9=67", "28+67=95" ]
Current State: 95:[3, 58, 84, 9], Operations: [] Exploring Operation: 84/3=28, Resulting Numbers: [58, 9, 28] Generated Node #2: [58, 9, 28] from Operation: 84/3=28 Current State: 95:[58, 9, 28], Operations: ['84/3=28'] Exploring Operation: 58+9=67, Resulting Numbers: [28, 67] Generated Node #3: [28, 67] from Operation: 58+9=67 Current State: 95:[28, 67], Operations: ['84/3=28', '58+9=67'] Exploring Operation: 28+67=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 87, 57, 13, 6 ]
37
[ "87+57=144", "144/6=24", "13+24=37" ]
Current State: 37:[87, 57, 13, 6], Operations: [] Exploring Operation: 87+57=144, Resulting Numbers: [13, 6, 144] Generated Node #2: [13, 6, 144] from Operation: 87+57=144 Current State: 37:[13, 6, 144], Operations: ['87+57=144'] Exploring Operation: 144/6=24, Resulting Numbers: [13, 24] Generated Node #3: [13, 24] from Operation: 144/6=24 Current State: 37:[13, 24], Operations: ['87+57=144', '144/6=24'] Exploring Operation: 13+24=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 72, 21, 59, 25 ]
85
[ "72-21=51", "59-25=34", "51+34=85" ]
Current State: 85:[72, 21, 59, 25], Operations: [] Exploring Operation: 72-21=51, Resulting Numbers: [59, 25, 51] Generated Node #2: [59, 25, 51] from Operation: 72-21=51 Current State: 85:[59, 25, 51], Operations: ['72-21=51'] Exploring Operation: 59-25=34, Resulting Numbers: [51, 34] Generated Node #3: [51, 34] from Operation: 59-25=34 Current State: 85:[51, 34], Operations: ['72-21=51', '59-25=34'] Exploring Operation: 51+34=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 99, 23, 67, 76 ]
34
[ "76-67=9", "99/9=11", "23+11=34" ]
Current State: 34:[99, 23, 67, 76], Operations: [] Exploring Operation: 76-67=9, Resulting Numbers: [99, 23, 9] Generated Node #2: [99, 23, 9] from Operation: 76-67=9 Current State: 34:[99, 23, 9], Operations: ['76-67=9'] Exploring Operation: 99/9=11, Resulting Numbers: [23, 11] Generated Node #3: [23, 11] from Operation: 99/9=11 Current State: 34:[23, 11], Operations: ['76-67=9', '99/9=11'] Exploring Operation: 23+11=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 76, 29, 1, 68 ]
36
[ "76+29=105", "1+68=69", "105-69=36" ]
Current State: 36:[76, 29, 1, 68], Operations: [] Exploring Operation: 76+29=105, Resulting Numbers: [1, 68, 105] Generated Node #2: [1, 68, 105] from Operation: 76+29=105 Current State: 36:[1, 68, 105], Operations: ['76+29=105'] Exploring Operation: 1+68=69, Resulting Numbers: [105, 69] Generated Node #3: [105, 69] from Operation: 1+68=69 Current State: 36:[105, 69], Operations: ['76+29=105', '1+68=69'] Exploring Operation: 105-69=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 30, 38, 87, 38 ]
19
[ "30+38=68", "87-38=49", "68-49=19" ]
Current State: 19:[30, 38, 87, 38], Operations: [] Exploring Operation: 30+38=68, Resulting Numbers: [87, 68] Generated Node #2: [87, 68] from Operation: 30+38=68 Current State: 19:[87, 68], Operations: ['30+38=68'] Exploring Operation: 87-38=49, Resulting Numbers: [68, 49] Generated Node #3: [68, 49] from Operation: 87-38=49 Current State: 19:[68, 49], Operations: ['30+38=68', '87-38=49'] Exploring Operation: 68-49=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 72, 80, 22, 30 ]
64
[ "80-72=8", "30-22=8", "8*8=64" ]
Current State: 64:[72, 80, 22, 30], Operations: [] Exploring Operation: 80-72=8, Resulting Numbers: [22, 30, 8] Generated Node #2: [22, 30, 8] from Operation: 80-72=8 Current State: 64:[22, 30, 8], Operations: ['80-72=8'] Exploring Operation: 30-22=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 30-22=8 Current State: 64:[8, 8], Operations: ['80-72=8', '30-22=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 12, 96, 44, 40 ]
32
[ "96/12=8", "44-40=4", "8*4=32" ]
Current State: 32:[12, 96, 44, 40], Operations: [] Exploring Operation: 96/12=8, Resulting Numbers: [44, 40, 8] Generated Node #2: [44, 40, 8] from Operation: 96/12=8 Current State: 32:[44, 40, 8], Operations: ['96/12=8'] Exploring Operation: 44-40=4, Resulting Numbers: [8, 4] Generated Node #3: [8, 4] from Operation: 44-40=4 Current State: 32:[8, 4], Operations: ['96/12=8', '44-40=4'] Exploring Operation: 8*4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 8, 72, 18, 2 ]
36
[ "8*72=576", "18-2=16", "576/16=36" ]
Current State: 36:[8, 72, 18, 2], Operations: [] Exploring Operation: 8*72=576, Resulting Numbers: [18, 2, 576] Generated Node #2: [18, 2, 576] from Operation: 8*72=576 Current State: 36:[18, 2, 576], Operations: ['8*72=576'] Exploring Operation: 18-2=16, Resulting Numbers: [576, 16] Generated Node #3: [576, 16] from Operation: 18-2=16 Current State: 36:[576, 16], Operations: ['8*72=576', '18-2=16'] Exploring Operation: 576/16=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 73, 28, 27, 37 ]
21
[ "73-37=36", "28*27=756", "756/36=21" ]
Current State: 21:[73, 28, 27, 37], Operations: [] Exploring Operation: 73-37=36, Resulting Numbers: [28, 27, 36] Generated Node #2: [28, 27, 36] from Operation: 73-37=36 Current State: 21:[28, 27, 36], Operations: ['73-37=36'] Exploring Operation: 28*27=756, Resulting Numbers: [36, 756] Generated Node #3: [36, 756] from Operation: 28*27=756 Current State: 21:[36, 756], Operations: ['73-37=36', '28*27=756'] Exploring Operation: 756/36=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 38, 64, 94, 50 ]
18
[ "64-38=26", "94-50=44", "44-26=18" ]
Current State: 18:[38, 64, 94, 50], Operations: [] Exploring Operation: 64-38=26, Resulting Numbers: [94, 50, 26] Generated Node #2: [94, 50, 26] from Operation: 64-38=26 Current State: 18:[94, 50, 26], Operations: ['64-38=26'] Exploring Operation: 94-50=44, Resulting Numbers: [26, 44] Generated Node #3: [26, 44] from Operation: 94-50=44 Current State: 18:[26, 44], Operations: ['64-38=26', '94-50=44'] Exploring Operation: 44-26=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 56, 75, 23, 67 ]
41
[ "56+75=131", "23+67=90", "131-90=41" ]
Current State: 41:[56, 75, 23, 67], Operations: [] Exploring Operation: 56+75=131, Resulting Numbers: [23, 67, 131] Generated Node #2: [23, 67, 131] from Operation: 56+75=131 Current State: 41:[23, 67, 131], Operations: ['56+75=131'] Exploring Operation: 23+67=90, Resulting Numbers: [131, 90] Generated Node #3: [131, 90] from Operation: 23+67=90 Current State: 41:[131, 90], Operations: ['56+75=131', '23+67=90'] Exploring Operation: 131-90=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 8, 67, 46, 95 ]
10
[ "67-8=59", "95-46=49", "59-49=10" ]
Current State: 10:[8, 67, 46, 95], Operations: [] Exploring Operation: 67-8=59, Resulting Numbers: [46, 95, 59] Generated Node #2: [46, 95, 59] from Operation: 67-8=59 Current State: 10:[46, 95, 59], Operations: ['67-8=59'] Exploring Operation: 95-46=49, Resulting Numbers: [59, 49] Generated Node #3: [59, 49] from Operation: 95-46=49 Current State: 10:[59, 49], Operations: ['67-8=59', '95-46=49'] Exploring Operation: 59-49=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 17, 87, 85, 32 ]
92
[ "87+32=119", "119/17=7", "85+7=92" ]
Current State: 92:[17, 87, 85, 32], Operations: [] Exploring Operation: 87+32=119, Resulting Numbers: [17, 85, 119] Generated Node #2: [17, 85, 119] from Operation: 87+32=119 Current State: 92:[17, 85, 119], Operations: ['87+32=119'] Exploring Operation: 119/17=7, Resulting Numbers: [85, 7] Generated Node #3: [85, 7] from Operation: 119/17=7 Current State: 92:[85, 7], Operations: ['87+32=119', '119/17=7'] Exploring Operation: 85+7=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 42, 37, 10, 31 ]
58
[ "42+37=79", "31-10=21", "79-21=58" ]
Current State: 58:[42, 37, 10, 31], Operations: [] Exploring Operation: 42+37=79, Resulting Numbers: [10, 31, 79] Generated Node #2: [10, 31, 79] from Operation: 42+37=79 Current State: 58:[10, 31, 79], Operations: ['42+37=79'] Exploring Operation: 31-10=21, Resulting Numbers: [79, 21] Generated Node #3: [79, 21] from Operation: 31-10=21 Current State: 58:[79, 21], Operations: ['42+37=79', '31-10=21'] Exploring Operation: 79-21=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 9, 34, 79, 49 ]
55
[ "34-9=25", "79-49=30", "25+30=55" ]
Current State: 55:[9, 34, 79, 49], Operations: [] Exploring Operation: 34-9=25, Resulting Numbers: [79, 49, 25] Generated Node #2: [79, 49, 25] from Operation: 34-9=25 Current State: 55:[79, 49, 25], Operations: ['34-9=25'] Exploring Operation: 79-49=30, Resulting Numbers: [25, 30] Generated Node #3: [25, 30] from Operation: 79-49=30 Current State: 55:[25, 30], Operations: ['34-9=25', '79-49=30'] Exploring Operation: 25+30=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 74, 42, 26, 30 ]
29
[ "74+42=116", "30-26=4", "116/4=29" ]
Current State: 29:[74, 42, 26, 30], Operations: [] Exploring Operation: 74+42=116, Resulting Numbers: [26, 30, 116] Generated Node #2: [26, 30, 116] from Operation: 74+42=116 Current State: 29:[26, 30, 116], Operations: ['74+42=116'] Exploring Operation: 30-26=4, Resulting Numbers: [116, 4] Generated Node #3: [116, 4] from Operation: 30-26=4 Current State: 29:[116, 4], Operations: ['74+42=116', '30-26=4'] Exploring Operation: 116/4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 12, 63, 9, 96 ]
53
[ "12-9=3", "63+96=159", "159/3=53" ]
Current State: 53:[12, 63, 9, 96], Operations: [] Exploring Operation: 12-9=3, Resulting Numbers: [63, 96, 3] Generated Node #2: [63, 96, 3] from Operation: 12-9=3 Current State: 53:[63, 96, 3], Operations: ['12-9=3'] Exploring Operation: 63+96=159, Resulting Numbers: [3, 159] Generated Node #3: [3, 159] from Operation: 63+96=159 Current State: 53:[3, 159], Operations: ['12-9=3', '63+96=159'] Exploring Operation: 159/3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 25, 39, 71, 45 ]
39
[ "71-25=46", "46-45=1", "39*1=39" ]
Current State: 39:[25, 39, 71, 45], Operations: [] Exploring Operation: 71-25=46, Resulting Numbers: [39, 45, 46] Generated Node #2: [39, 45, 46] from Operation: 71-25=46 Current State: 39:[39, 45, 46], Operations: ['71-25=46'] Exploring Operation: 46-45=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 46-45=1 Current State: 39:[39, 1], Operations: ['71-25=46', '46-45=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 92, 83, 24, 38 ]
53
[ "92-83=9", "24+38=62", "62-9=53" ]
Current State: 53:[92, 83, 24, 38], Operations: [] Exploring Operation: 92-83=9, Resulting Numbers: [24, 38, 9] Generated Node #2: [24, 38, 9] from Operation: 92-83=9 Current State: 53:[24, 38, 9], Operations: ['92-83=9'] Exploring Operation: 24+38=62, Resulting Numbers: [9, 62] Generated Node #3: [9, 62] from Operation: 24+38=62 Current State: 53:[9, 62], Operations: ['92-83=9', '24+38=62'] Exploring Operation: 62-9=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 9, 30, 36, 46 ]
61
[ "30-9=21", "36+46=82", "82-21=61" ]
Current State: 61:[9, 30, 36, 46], Operations: [] Exploring Operation: 30-9=21, Resulting Numbers: [36, 46, 21] Generated Node #2: [36, 46, 21] from Operation: 30-9=21 Current State: 61:[36, 46, 21], Operations: ['30-9=21'] Exploring Operation: 36+46=82, Resulting Numbers: [21, 82] Generated Node #3: [21, 82] from Operation: 36+46=82 Current State: 61:[21, 82], Operations: ['30-9=21', '36+46=82'] Exploring Operation: 82-21=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 68, 84, 86, 12 ]
40
[ "68+12=80", "86-84=2", "80/2=40" ]
Current State: 40:[68, 84, 86, 12], Operations: [] Exploring Operation: 68+12=80, Resulting Numbers: [84, 86, 80] Generated Node #2: [84, 86, 80] from Operation: 68+12=80 Current State: 40:[84, 86, 80], Operations: ['68+12=80'] Exploring Operation: 86-84=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 86-84=2 Current State: 40:[80, 2], Operations: ['68+12=80', '86-84=2'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 75, 64, 4, 31 ]
60
[ "75-31=44", "64/4=16", "44+16=60" ]
Current State: 60:[75, 64, 4, 31], Operations: [] Exploring Operation: 75-31=44, Resulting Numbers: [64, 4, 44] Generated Node #2: [64, 4, 44] from Operation: 75-31=44 Current State: 60:[64, 4, 44], Operations: ['75-31=44'] Exploring Operation: 64/4=16, Resulting Numbers: [44, 16] Generated Node #3: [44, 16] from Operation: 64/4=16 Current State: 60:[44, 16], Operations: ['75-31=44', '64/4=16'] Exploring Operation: 44+16=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 65, 53, 52, 35 ]
31
[ "65+53=118", "52+35=87", "118-87=31" ]
Current State: 31:[65, 53, 52, 35], Operations: [] Exploring Operation: 65+53=118, Resulting Numbers: [52, 35, 118] Generated Node #2: [52, 35, 118] from Operation: 65+53=118 Current State: 31:[52, 35, 118], Operations: ['65+53=118'] Exploring Operation: 52+35=87, Resulting Numbers: [118, 87] Generated Node #3: [118, 87] from Operation: 52+35=87 Current State: 31:[118, 87], Operations: ['65+53=118', '52+35=87'] Exploring Operation: 118-87=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 3, 5, 93, 18 ]
73
[ "5-3=2", "93-18=75", "75-2=73" ]
Current State: 73:[3, 5, 93, 18], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [93, 18, 2] Generated Node #2: [93, 18, 2] from Operation: 5-3=2 Current State: 73:[93, 18, 2], Operations: ['5-3=2'] Exploring Operation: 93-18=75, Resulting Numbers: [2, 75] Generated Node #3: [2, 75] from Operation: 93-18=75 Current State: 73:[2, 75], Operations: ['5-3=2', '93-18=75'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 46, 21, 25, 76 ]
76
[ "46-21=25", "25+76=101", "101-25=76" ]
Current State: 76:[46, 21, 25, 76], Operations: [] Exploring Operation: 46-21=25, Resulting Numbers: [25, 76, 25] Generated Node #2: [25, 76, 25] from Operation: 46-21=25 Current State: 76:[25, 76, 25], Operations: ['46-21=25'] Exploring Operation: 25+76=101, Resulting Numbers: [101] 101,76 equal: Goal Reached Exploring Operation: 101-25=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 83, 81, 78, 32 ]
13
[ "81-78=3", "32*3=96", "96-83=13" ]
Current State: 13:[83, 81, 78, 32], Operations: [] Exploring Operation: 81-78=3, Resulting Numbers: [83, 32, 3] Generated Node #2: [83, 32, 3] from Operation: 81-78=3 Current State: 13:[83, 32, 3], Operations: ['81-78=3'] Exploring Operation: 32*3=96, Resulting Numbers: [83, 96] Generated Node #3: [83, 96] from Operation: 32*3=96 Current State: 13:[83, 96], Operations: ['81-78=3', '32*3=96'] Exploring Operation: 96-83=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 3, 13, 92, 47 ]
29
[ "3+13=16", "92-47=45", "45-16=29" ]
Current State: 29:[3, 13, 92, 47], Operations: [] Exploring Operation: 3+13=16, Resulting Numbers: [92, 47, 16] Generated Node #2: [92, 47, 16] from Operation: 3+13=16 Current State: 29:[92, 47, 16], Operations: ['3+13=16'] Exploring Operation: 92-47=45, Resulting Numbers: [16, 45] Generated Node #3: [16, 45] from Operation: 92-47=45 Current State: 29:[16, 45], Operations: ['3+13=16', '92-47=45'] Exploring Operation: 45-16=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 2, 50, 7, 92 ]
89
[ "92/2=46", "50-7=43", "46+43=89" ]
Current State: 89:[2, 50, 7, 92], Operations: [] Exploring Operation: 92/2=46, Resulting Numbers: [50, 7, 46] Generated Node #2: [50, 7, 46] from Operation: 92/2=46 Current State: 89:[50, 7, 46], Operations: ['92/2=46'] Exploring Operation: 50-7=43, Resulting Numbers: [46, 43] Generated Node #3: [46, 43] from Operation: 50-7=43 Current State: 89:[46, 43], Operations: ['92/2=46', '50-7=43'] Exploring Operation: 46+43=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 36, 24, 65, 40 ]
13
[ "36-24=12", "65-40=25", "25-12=13" ]
Current State: 13:[36, 24, 65, 40], Operations: [] Exploring Operation: 36-24=12, Resulting Numbers: [65, 40, 12] Generated Node #2: [65, 40, 12] from Operation: 36-24=12 Current State: 13:[65, 40, 12], Operations: ['36-24=12'] Exploring Operation: 65-40=25, Resulting Numbers: [12, 25] Generated Node #3: [12, 25] from Operation: 65-40=25 Current State: 13:[12, 25], Operations: ['36-24=12', '65-40=25'] Exploring Operation: 25-12=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 15, 8, 72, 48 ]
54
[ "15+48=63", "72/8=9", "63-9=54" ]
Current State: 54:[15, 8, 72, 48], Operations: [] Exploring Operation: 15+48=63, Resulting Numbers: [8, 72, 63] Generated Node #2: [8, 72, 63] from Operation: 15+48=63 Current State: 54:[8, 72, 63], Operations: ['15+48=63'] Exploring Operation: 72/8=9, Resulting Numbers: [63, 9] Generated Node #3: [63, 9] from Operation: 72/8=9 Current State: 54:[63, 9], Operations: ['15+48=63', '72/8=9'] Exploring Operation: 63-9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 98, 3, 64, 15 ]
11
[ "98+3=101", "64+101=165", "165/15=11" ]
Current State: 11:[98, 3, 64, 15], Operations: [] Exploring Operation: 98+3=101, Resulting Numbers: [64, 15, 101] Generated Node #2: [64, 15, 101] from Operation: 98+3=101 Current State: 11:[64, 15, 101], Operations: ['98+3=101'] Exploring Operation: 64+101=165, Resulting Numbers: [15, 165] Generated Node #3: [15, 165] from Operation: 64+101=165 Current State: 11:[15, 165], Operations: ['98+3=101', '64+101=165'] Exploring Operation: 165/15=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 37, 55, 49, 4 ]
39
[ "37+55=92", "49+4=53", "92-53=39" ]
Current State: 39:[37, 55, 49, 4], Operations: [] Exploring Operation: 37+55=92, Resulting Numbers: [49, 4, 92] Generated Node #2: [49, 4, 92] from Operation: 37+55=92 Current State: 39:[49, 4, 92], Operations: ['37+55=92'] Exploring Operation: 49+4=53, Resulting Numbers: [92, 53] Generated Node #3: [92, 53] from Operation: 49+4=53 Current State: 39:[92, 53], Operations: ['37+55=92', '49+4=53'] Exploring Operation: 92-53=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 25, 70, 66, 77 ]
85
[ "70*66=4620", "4620/77=60", "25+60=85" ]
Current State: 85:[25, 70, 66, 77], Operations: [] Exploring Operation: 70*66=4620, Resulting Numbers: [25, 77, 4620] Generated Node #2: [25, 77, 4620] from Operation: 70*66=4620 Current State: 85:[25, 77, 4620], Operations: ['70*66=4620'] Exploring Operation: 4620/77=60, Resulting Numbers: [25, 60] Generated Node #3: [25, 60] from Operation: 4620/77=60 Current State: 85:[25, 60], Operations: ['70*66=4620', '4620/77=60'] Exploring Operation: 25+60=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 66, 4, 56, 2 ]
48
[ "66-56=10", "2+10=12", "4*12=48" ]
Current State: 48:[66, 4, 56, 2], Operations: [] Exploring Operation: 66-56=10, Resulting Numbers: [4, 2, 10] Generated Node #2: [4, 2, 10] from Operation: 66-56=10 Current State: 48:[4, 2, 10], Operations: ['66-56=10'] Exploring Operation: 2+10=12, Resulting Numbers: [4, 12] Generated Node #3: [4, 12] from Operation: 2+10=12 Current State: 48:[4, 12], Operations: ['66-56=10', '2+10=12'] Exploring Operation: 4*12=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 25, 87, 2, 87 ]
56
[ "87-25=62", "62/2=31", "87-31=56" ]
Current State: 56:[25, 87, 2, 87], Operations: [] Exploring Operation: 87-25=62, Resulting Numbers: [2, 62] Generated Node #2: [2, 62] from Operation: 87-25=62 Current State: 56:[2, 62], Operations: ['87-25=62'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,56 equal: Goal Reached Exploring Operation: 87-31=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 63, 44, 19, 46 ]
46
[ "63-44=19", "19+46=65", "65-19=46" ]
Current State: 46:[63, 44, 19, 46], Operations: [] Exploring Operation: 63-44=19, Resulting Numbers: [19, 46, 19] Generated Node #2: [19, 46, 19] from Operation: 63-44=19 Current State: 46:[19, 46, 19], Operations: ['63-44=19'] Exploring Operation: 19+46=65, Resulting Numbers: [65] 65,46 equal: Goal Reached Exploring Operation: 65-19=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 64, 7, 74, 87 ]
17
[ "74-64=10", "7*10=70", "87-70=17" ]
Current State: 17:[64, 7, 74, 87], Operations: [] Exploring Operation: 74-64=10, Resulting Numbers: [7, 87, 10] Generated Node #2: [7, 87, 10] from Operation: 74-64=10 Current State: 17:[7, 87, 10], Operations: ['74-64=10'] Exploring Operation: 7*10=70, Resulting Numbers: [87, 70] Generated Node #3: [87, 70] from Operation: 7*10=70 Current State: 17:[87, 70], Operations: ['74-64=10', '7*10=70'] Exploring Operation: 87-70=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 19, 96, 12, 63 ]
26
[ "96-19=77", "63-12=51", "77-51=26" ]
Current State: 26:[19, 96, 12, 63], Operations: [] Exploring Operation: 96-19=77, Resulting Numbers: [12, 63, 77] Generated Node #2: [12, 63, 77] from Operation: 96-19=77 Current State: 26:[12, 63, 77], Operations: ['96-19=77'] Exploring Operation: 63-12=51, Resulting Numbers: [77, 51] Generated Node #3: [77, 51] from Operation: 63-12=51 Current State: 26:[77, 51], Operations: ['96-19=77', '63-12=51'] Exploring Operation: 77-51=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 68, 38, 40, 46 ]
20
[ "68+38=106", "40+46=86", "106-86=20" ]
Current State: 20:[68, 38, 40, 46], Operations: [] Exploring Operation: 68+38=106, Resulting Numbers: [40, 46, 106] Generated Node #2: [40, 46, 106] from Operation: 68+38=106 Current State: 20:[40, 46, 106], Operations: ['68+38=106'] Exploring Operation: 40+46=86, Resulting Numbers: [106, 86] Generated Node #3: [106, 86] from Operation: 40+46=86 Current State: 20:[106, 86], Operations: ['68+38=106', '40+46=86'] Exploring Operation: 106-86=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 43, 33, 15, 27 ]
52
[ "43*33=1419", "1419-15=1404", "1404/27=52" ]
Current State: 52:[43, 33, 15, 27], Operations: [] Exploring Operation: 43*33=1419, Resulting Numbers: [15, 27, 1419] Generated Node #2: [15, 27, 1419] from Operation: 43*33=1419 Current State: 52:[15, 27, 1419], Operations: ['43*33=1419'] Exploring Operation: 1419-15=1404, Resulting Numbers: [27, 1404] Generated Node #3: [27, 1404] from Operation: 1419-15=1404 Current State: 52:[27, 1404], Operations: ['43*33=1419', '1419-15=1404'] Exploring Operation: 1404/27=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 70, 88, 74, 48 ]
85
[ "70+74=144", "144/48=3", "88-3=85" ]
Current State: 85:[70, 88, 74, 48], Operations: [] Exploring Operation: 70+74=144, Resulting Numbers: [88, 48, 144] Generated Node #2: [88, 48, 144] from Operation: 70+74=144 Current State: 85:[88, 48, 144], Operations: ['70+74=144'] Exploring Operation: 144/48=3, Resulting Numbers: [88, 3] Generated Node #3: [88, 3] from Operation: 144/48=3 Current State: 85:[88, 3], Operations: ['70+74=144', '144/48=3'] Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 64, 28, 57, 14 ]
49
[ "64+28=92", "57-14=43", "92-43=49" ]
Current State: 49:[64, 28, 57, 14], Operations: [] Exploring Operation: 64+28=92, Resulting Numbers: [57, 14, 92] Generated Node #2: [57, 14, 92] from Operation: 64+28=92 Current State: 49:[57, 14, 92], Operations: ['64+28=92'] Exploring Operation: 57-14=43, Resulting Numbers: [92, 43] Generated Node #3: [92, 43] from Operation: 57-14=43 Current State: 49:[92, 43], Operations: ['64+28=92', '57-14=43'] Exploring Operation: 92-43=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 22, 47, 72, 9 ]
17
[ "47-22=25", "72/9=8", "25-8=17" ]
Current State: 17:[22, 47, 72, 9], Operations: [] Exploring Operation: 47-22=25, Resulting Numbers: [72, 9, 25] Generated Node #2: [72, 9, 25] from Operation: 47-22=25 Current State: 17:[72, 9, 25], Operations: ['47-22=25'] Exploring Operation: 72/9=8, Resulting Numbers: [25, 8] Generated Node #3: [25, 8] from Operation: 72/9=8 Current State: 17:[25, 8], Operations: ['47-22=25', '72/9=8'] Exploring Operation: 25-8=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 12, 77, 83, 18 ]
20
[ "83-77=6", "12/6=2", "18+2=20" ]
Current State: 20:[12, 77, 83, 18], Operations: [] Exploring Operation: 83-77=6, Resulting Numbers: [12, 18, 6] Generated Node #2: [12, 18, 6] from Operation: 83-77=6 Current State: 20:[12, 18, 6], Operations: ['83-77=6'] Exploring Operation: 12/6=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 12/6=2 Current State: 20:[18, 2], Operations: ['83-77=6', '12/6=2'] Exploring Operation: 18+2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 44, 24, 62, 26 ]
22
[ "62+26=88", "88/44=2", "24-2=22" ]
Current State: 22:[44, 24, 62, 26], Operations: [] Exploring Operation: 62+26=88, Resulting Numbers: [44, 24, 88] Generated Node #2: [44, 24, 88] from Operation: 62+26=88 Current State: 22:[44, 24, 88], Operations: ['62+26=88'] Exploring Operation: 88/44=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 88/44=2 Current State: 22:[24, 2], Operations: ['62+26=88', '88/44=2'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 93, 97, 67, 78 ]
44
[ "97-93=4", "78-67=11", "4*11=44" ]
Current State: 44:[93, 97, 67, 78], Operations: [] Exploring Operation: 97-93=4, Resulting Numbers: [67, 78, 4] Generated Node #2: [67, 78, 4] from Operation: 97-93=4 Current State: 44:[67, 78, 4], Operations: ['97-93=4'] Exploring Operation: 78-67=11, Resulting Numbers: [4, 11] Generated Node #3: [4, 11] from Operation: 78-67=11 Current State: 44:[4, 11], Operations: ['97-93=4', '78-67=11'] Exploring Operation: 4*11=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 36, 92, 15, 44 ]
69
[ "36+92=128", "15+44=59", "128-59=69" ]
Current State: 69:[36, 92, 15, 44], Operations: [] Exploring Operation: 36+92=128, Resulting Numbers: [15, 44, 128] Generated Node #2: [15, 44, 128] from Operation: 36+92=128 Current State: 69:[15, 44, 128], Operations: ['36+92=128'] Exploring Operation: 15+44=59, Resulting Numbers: [128, 59] Generated Node #3: [128, 59] from Operation: 15+44=59 Current State: 69:[128, 59], Operations: ['36+92=128', '15+44=59'] Exploring Operation: 128-59=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 24, 9, 82, 8 ]
85
[ "24/8=3", "9/3=3", "82+3=85" ]
Current State: 85:[24, 9, 82, 8], Operations: [] Exploring Operation: 24/8=3, Resulting Numbers: [9, 82, 3] Generated Node #2: [9, 82, 3] from Operation: 24/8=3 Current State: 85:[9, 82, 3], Operations: ['24/8=3'] Exploring Operation: 9/3=3, Resulting Numbers: [82, 3] Generated Node #3: [82, 3] from Operation: 9/3=3 Current State: 85:[82, 3], Operations: ['24/8=3', '9/3=3'] Exploring Operation: 82+3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 31, 40, 68, 10 ]
95
[ "31+68=99", "40/10=4", "99-4=95" ]
Current State: 95:[31, 40, 68, 10], Operations: [] Exploring Operation: 31+68=99, Resulting Numbers: [40, 10, 99] Generated Node #2: [40, 10, 99] from Operation: 31+68=99 Current State: 95:[40, 10, 99], Operations: ['31+68=99'] Exploring Operation: 40/10=4, Resulting Numbers: [99, 4] Generated Node #3: [99, 4] from Operation: 40/10=4 Current State: 95:[99, 4], Operations: ['31+68=99', '40/10=4'] Exploring Operation: 99-4=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 8, 13, 28, 49 ]
91
[ "13-8=5", "28*5=140", "140-49=91" ]
Current State: 91:[8, 13, 28, 49], Operations: [] Exploring Operation: 13-8=5, Resulting Numbers: [28, 49, 5] Generated Node #2: [28, 49, 5] from Operation: 13-8=5 Current State: 91:[28, 49, 5], Operations: ['13-8=5'] Exploring Operation: 28*5=140, Resulting Numbers: [49, 140] Generated Node #3: [49, 140] from Operation: 28*5=140 Current State: 91:[49, 140], Operations: ['13-8=5', '28*5=140'] Exploring Operation: 140-49=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 33, 79, 7, 77 ]
28
[ "33+79=112", "7+77=84", "112-84=28" ]
Current State: 28:[33, 79, 7, 77], Operations: [] Exploring Operation: 33+79=112, Resulting Numbers: [7, 77, 112] Generated Node #2: [7, 77, 112] from Operation: 33+79=112 Current State: 28:[7, 77, 112], Operations: ['33+79=112'] Exploring Operation: 7+77=84, Resulting Numbers: [112, 84] Generated Node #3: [112, 84] from Operation: 7+77=84 Current State: 28:[112, 84], Operations: ['33+79=112', '7+77=84'] Exploring Operation: 112-84=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 26, 19, 65, 21 ]
79
[ "26-19=7", "65+21=86", "86-7=79" ]
Current State: 79:[26, 19, 65, 21], Operations: [] Exploring Operation: 26-19=7, Resulting Numbers: [65, 21, 7] Generated Node #2: [65, 21, 7] from Operation: 26-19=7 Current State: 79:[65, 21, 7], Operations: ['26-19=7'] Exploring Operation: 65+21=86, Resulting Numbers: [7, 86] Generated Node #3: [7, 86] from Operation: 65+21=86 Current State: 79:[7, 86], Operations: ['26-19=7', '65+21=86'] Exploring Operation: 86-7=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 9, 25, 47, 10 ]
88
[ "25-10=15", "9*15=135", "135-47=88" ]
Current State: 88:[9, 25, 47, 10], Operations: [] Exploring Operation: 25-10=15, Resulting Numbers: [9, 47, 15] Generated Node #2: [9, 47, 15] from Operation: 25-10=15 Current State: 88:[9, 47, 15], Operations: ['25-10=15'] Exploring Operation: 9*15=135, Resulting Numbers: [47, 135] Generated Node #3: [47, 135] from Operation: 9*15=135 Current State: 88:[47, 135], Operations: ['25-10=15', '9*15=135'] Exploring Operation: 135-47=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 38, 21, 51, 82 ]
14
[ "38-21=17", "82-51=31", "31-17=14" ]
Current State: 14:[38, 21, 51, 82], Operations: [] Exploring Operation: 38-21=17, Resulting Numbers: [51, 82, 17] Generated Node #2: [51, 82, 17] from Operation: 38-21=17 Current State: 14:[51, 82, 17], Operations: ['38-21=17'] Exploring Operation: 82-51=31, Resulting Numbers: [17, 31] Generated Node #3: [17, 31] from Operation: 82-51=31 Current State: 14:[17, 31], Operations: ['38-21=17', '82-51=31'] Exploring Operation: 31-17=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 69, 15, 5, 23 ]
61
[ "69-15=54", "5*23=115", "115-54=61" ]
Current State: 61:[69, 15, 5, 23], Operations: [] Exploring Operation: 69-15=54, Resulting Numbers: [5, 23, 54] Generated Node #2: [5, 23, 54] from Operation: 69-15=54 Current State: 61:[5, 23, 54], Operations: ['69-15=54'] Exploring Operation: 5*23=115, Resulting Numbers: [54, 115] Generated Node #3: [54, 115] from Operation: 5*23=115 Current State: 61:[54, 115], Operations: ['69-15=54', '5*23=115'] Exploring Operation: 115-54=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 10, 27, 10, 1 ]
13
[ "10-1=9", "27/9=3", "10+3=13" ]
Current State: 13:[10, 27, 10, 1], Operations: [] Exploring Operation: 10-1=9, Resulting Numbers: [27, 9] Generated Node #2: [27, 9] from Operation: 10-1=9 Current State: 13:[27, 9], Operations: ['10-1=9'] Exploring Operation: 27/9=3, Resulting Numbers: [3] 3,13 equal: Goal Reached Exploring Operation: 10+3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 20, 74, 51, 11 ]
86
[ "20*51=1020", "1020-74=946", "946/11=86" ]
Current State: 86:[20, 74, 51, 11], Operations: [] Exploring Operation: 20*51=1020, Resulting Numbers: [74, 11, 1020] Generated Node #2: [74, 11, 1020] from Operation: 20*51=1020 Current State: 86:[74, 11, 1020], Operations: ['20*51=1020'] Exploring Operation: 1020-74=946, Resulting Numbers: [11, 946] Generated Node #3: [11, 946] from Operation: 1020-74=946 Current State: 86:[11, 946], Operations: ['20*51=1020', '1020-74=946'] Exploring Operation: 946/11=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 75, 50, 87, 65 ]
82
[ "75-65=10", "50/10=5", "87-5=82" ]
Current State: 82:[75, 50, 87, 65], Operations: [] Exploring Operation: 75-65=10, Resulting Numbers: [50, 87, 10] Generated Node #2: [50, 87, 10] from Operation: 75-65=10 Current State: 82:[50, 87, 10], Operations: ['75-65=10'] Exploring Operation: 50/10=5, Resulting Numbers: [87, 5] Generated Node #3: [87, 5] from Operation: 50/10=5 Current State: 82:[87, 5], Operations: ['75-65=10', '50/10=5'] Exploring Operation: 87-5=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 60, 79, 83, 9 ]
24
[ "83-79=4", "60/4=15", "9+15=24" ]
Current State: 24:[60, 79, 83, 9], Operations: [] Exploring Operation: 83-79=4, Resulting Numbers: [60, 9, 4] Generated Node #2: [60, 9, 4] from Operation: 83-79=4 Current State: 24:[60, 9, 4], Operations: ['83-79=4'] Exploring Operation: 60/4=15, Resulting Numbers: [9, 15] Generated Node #3: [9, 15] from Operation: 60/4=15 Current State: 24:[9, 15], Operations: ['83-79=4', '60/4=15'] Exploring Operation: 9+15=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 24, 35, 11, 35 ]
14
[ "24-11=13", "35/35=1", "13+1=14" ]
Current State: 14:[24, 35, 11, 35], Operations: [] Exploring Operation: 24-11=13, Resulting Numbers: [35, 35, 13] Generated Node #2: [35, 35, 13] from Operation: 24-11=13 Current State: 14:[35, 35, 13], Operations: ['24-11=13'] Exploring Operation: 35/35=1, Resulting Numbers: [13, 1] Generated Node #3: [13, 1] from Operation: 35/35=1 Current State: 14:[13, 1], Operations: ['24-11=13', '35/35=1'] Exploring Operation: 13+1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 48, 9, 4, 15 ]
91
[ "48-4=44", "9*15=135", "135-44=91" ]
Current State: 91:[48, 9, 4, 15], Operations: [] Exploring Operation: 48-4=44, Resulting Numbers: [9, 15, 44] Generated Node #2: [9, 15, 44] from Operation: 48-4=44 Current State: 91:[9, 15, 44], Operations: ['48-4=44'] Exploring Operation: 9*15=135, Resulting Numbers: [44, 135] Generated Node #3: [44, 135] from Operation: 9*15=135 Current State: 91:[44, 135], Operations: ['48-4=44', '9*15=135'] Exploring Operation: 135-44=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 1, 35, 13, 41 ]
62
[ "35-1=34", "41-13=28", "34+28=62" ]
Current State: 62:[1, 35, 13, 41], Operations: [] Exploring Operation: 35-1=34, Resulting Numbers: [13, 41, 34] Generated Node #2: [13, 41, 34] from Operation: 35-1=34 Current State: 62:[13, 41, 34], Operations: ['35-1=34'] Exploring Operation: 41-13=28, Resulting Numbers: [34, 28] Generated Node #3: [34, 28] from Operation: 41-13=28 Current State: 62:[34, 28], Operations: ['35-1=34', '41-13=28'] Exploring Operation: 34+28=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 36, 86, 72, 77 ]
34
[ "36*86=3096", "3096/72=43", "77-43=34" ]
Current State: 34:[36, 86, 72, 77], Operations: [] Exploring Operation: 36*86=3096, Resulting Numbers: [72, 77, 3096] Generated Node #2: [72, 77, 3096] from Operation: 36*86=3096 Current State: 34:[72, 77, 3096], Operations: ['36*86=3096'] Exploring Operation: 3096/72=43, Resulting Numbers: [77, 43] Generated Node #3: [77, 43] from Operation: 3096/72=43 Current State: 34:[77, 43], Operations: ['36*86=3096', '3096/72=43'] Exploring Operation: 77-43=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4