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
[ 10, 92, 21, 20 ]
81
[ "92-10=82", "21-20=1", "82-1=81" ]
Current State: 81:[10, 92, 21, 20], Operations: [] Exploring Operation: 92-10=82, Resulting Numbers: [21, 20, 82] Generated Node #2: [21, 20, 82] from Operation: 92-10=82 Current State: 81:[21, 20, 82], Operations: ['92-10=82'] Exploring Operation: 21-20=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 21-20=1 Current State: 81:[82, 1], Operations: ['92-10=82', '21-20=1'] Exploring Operation: 82-1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 45, 73, 5, 73 ]
41
[ "45-5=40", "73/73=1", "40+1=41" ]
Current State: 41:[45, 73, 5, 73], Operations: [] Exploring Operation: 45-5=40, Resulting Numbers: [73, 73, 40] Generated Node #2: [73, 73, 40] from Operation: 45-5=40 Current State: 41:[73, 73, 40], Operations: ['45-5=40'] Exploring Operation: 73/73=1, Resulting Numbers: [40, 1] Generated Node #3: [40, 1] from Operation: 73/73=1 Current State: 41:[40, 1], Operations: ['45-5=40', '73/73=1'] Exploring Operation: 40+1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 90, 16, 85, 20 ]
60
[ "90-85=5", "16*5=80", "80-20=60" ]
Current State: 60:[90, 16, 85, 20], Operations: [] Exploring Operation: 90-85=5, Resulting Numbers: [16, 20, 5] Generated Node #2: [16, 20, 5] from Operation: 90-85=5 Current State: 60:[16, 20, 5], Operations: ['90-85=5'] Exploring Operation: 16*5=80, Resulting Numbers: [20, 80] Generated Node #3: [20, 80] from Operation: 16*5=80 Current State: 60:[20, 80], Operations: ['90-85=5', '16*5=80'] Exploring Operation: 80-20=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 38, 60, 2, 79 ]
35
[ "60-38=22", "2*22=44", "79-44=35" ]
Current State: 35:[38, 60, 2, 79], Operations: [] Exploring Operation: 60-38=22, Resulting Numbers: [2, 79, 22] Generated Node #2: [2, 79, 22] from Operation: 60-38=22 Current State: 35:[2, 79, 22], Operations: ['60-38=22'] Exploring Operation: 2*22=44, Resulting Numbers: [79, 44] Generated Node #3: [79, 44] from Operation: 2*22=44 Current State: 35:[79, 44], Operations: ['60-38=22', '2*22=44'] Exploring Operation: 79-44=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 25, 18, 20, 74 ]
62
[ "20-18=2", "74/2=37", "25+37=62" ]
Current State: 62:[25, 18, 20, 74], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [25, 74, 2] Generated Node #2: [25, 74, 2] from Operation: 20-18=2 Current State: 62:[25, 74, 2], Operations: ['20-18=2'] Exploring Operation: 74/2=37, Resulting Numbers: [25, 37] Generated Node #3: [25, 37] from Operation: 74/2=37 Current State: 62:[25, 37], Operations: ['20-18=2', '74/2=37'] Exploring Operation: 25+37=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 13, 15, 13, 45 ]
59
[ "13/13=1", "15+45=60", "60-1=59" ]
Current State: 59:[13, 15, 13, 45], Operations: [] Exploring Operation: 13/13=1, Resulting Numbers: [15, 45, 1] Generated Node #2: [15, 45, 1] from Operation: 13/13=1 Current State: 59:[15, 45, 1], Operations: ['13/13=1'] Exploring Operation: 15+45=60, Resulting Numbers: [1, 60] Generated Node #3: [1, 60] from Operation: 15+45=60 Current State: 59:[1, 60], Operations: ['13/13=1', '15+45=60'] Exploring Operation: 60-1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 11, 37, 62, 52 ]
64
[ "37-11=26", "52/26=2", "62+2=64" ]
Current State: 64:[11, 37, 62, 52], Operations: [] Exploring Operation: 37-11=26, Resulting Numbers: [62, 52, 26] Generated Node #2: [62, 52, 26] from Operation: 37-11=26 Current State: 64:[62, 52, 26], Operations: ['37-11=26'] Exploring Operation: 52/26=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 52/26=2 Current State: 64:[62, 2], Operations: ['37-11=26', '52/26=2'] Exploring Operation: 62+2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 67, 34, 34, 8 ]
60
[ "67-8=59", "34/34=1", "59+1=60" ]
Current State: 60:[67, 34, 34, 8], Operations: [] Exploring Operation: 67-8=59, Resulting Numbers: [34, 34, 59] Generated Node #2: [34, 34, 59] from Operation: 67-8=59 Current State: 60:[34, 34, 59], Operations: ['67-8=59'] Exploring Operation: 34/34=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 34/34=1 Current State: 60:[59, 1], Operations: ['67-8=59', '34/34=1'] Exploring Operation: 59+1=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 8, 60, 8, 22 ]
10
[ "8+8=16", "22-16=6", "60/6=10" ]
Current State: 10:[8, 60, 8, 22], Operations: [] Exploring Operation: 8+8=16, Resulting Numbers: [60, 22, 16] Generated Node #2: [60, 22, 16] from Operation: 8+8=16 Current State: 10:[60, 22, 16], Operations: ['8+8=16'] Exploring Operation: 22-16=6, Resulting Numbers: [60, 6] Generated Node #3: [60, 6] from Operation: 22-16=6 Current State: 10:[60, 6], Operations: ['8+8=16', '22-16=6'] Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 76, 2, 80, 14 ]
92
[ "76+80=156", "156/2=78", "14+78=92" ]
Current State: 92:[76, 2, 80, 14], Operations: [] Exploring Operation: 76+80=156, Resulting Numbers: [2, 14, 156] Generated Node #2: [2, 14, 156] from Operation: 76+80=156 Current State: 92:[2, 14, 156], Operations: ['76+80=156'] Exploring Operation: 156/2=78, Resulting Numbers: [14, 78] Generated Node #3: [14, 78] from Operation: 156/2=78 Current State: 92:[14, 78], Operations: ['76+80=156', '156/2=78'] Exploring Operation: 14+78=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 30, 83, 72, 4 ]
71
[ "83-30=53", "72/4=18", "53+18=71" ]
Current State: 71:[30, 83, 72, 4], Operations: [] Exploring Operation: 83-30=53, Resulting Numbers: [72, 4, 53] Generated Node #2: [72, 4, 53] from Operation: 83-30=53 Current State: 71:[72, 4, 53], Operations: ['83-30=53'] Exploring Operation: 72/4=18, Resulting Numbers: [53, 18] Generated Node #3: [53, 18] from Operation: 72/4=18 Current State: 71:[53, 18], Operations: ['83-30=53', '72/4=18'] Exploring Operation: 53+18=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 51, 52, 56, 36 ]
91
[ "52-51=1", "56+36=92", "92-1=91" ]
Current State: 91:[51, 52, 56, 36], Operations: [] Exploring Operation: 52-51=1, Resulting Numbers: [56, 36, 1] Generated Node #2: [56, 36, 1] from Operation: 52-51=1 Current State: 91:[56, 36, 1], Operations: ['52-51=1'] Exploring Operation: 56+36=92, Resulting Numbers: [1, 92] Generated Node #3: [1, 92] from Operation: 56+36=92 Current State: 91:[1, 92], Operations: ['52-51=1', '56+36=92'] Exploring Operation: 92-1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 1, 51, 3, 31 ]
59
[ "51-31=20", "3*20=60", "60-1=59" ]
Current State: 59:[1, 51, 3, 31], Operations: [] Exploring Operation: 51-31=20, Resulting Numbers: [1, 3, 20] Generated Node #2: [1, 3, 20] from Operation: 51-31=20 Current State: 59:[1, 3, 20], Operations: ['51-31=20'] Exploring Operation: 3*20=60, Resulting Numbers: [1, 60] Generated Node #3: [1, 60] from Operation: 3*20=60 Current State: 59:[1, 60], Operations: ['51-31=20', '3*20=60'] Exploring Operation: 60-1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 59, 38, 52, 60 ]
13
[ "59-38=21", "60-52=8", "21-8=13" ]
Current State: 13:[59, 38, 52, 60], Operations: [] Exploring Operation: 59-38=21, Resulting Numbers: [52, 60, 21] Generated Node #2: [52, 60, 21] from Operation: 59-38=21 Current State: 13:[52, 60, 21], Operations: ['59-38=21'] Exploring Operation: 60-52=8, Resulting Numbers: [21, 8] Generated Node #3: [21, 8] from Operation: 60-52=8 Current State: 13:[21, 8], Operations: ['59-38=21', '60-52=8'] Exploring Operation: 21-8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 73, 2, 8, 27 ]
30
[ "73-27=46", "2*8=16", "46-16=30" ]
Current State: 30:[73, 2, 8, 27], Operations: [] Exploring Operation: 73-27=46, Resulting Numbers: [2, 8, 46] Generated Node #2: [2, 8, 46] from Operation: 73-27=46 Current State: 30:[2, 8, 46], Operations: ['73-27=46'] Exploring Operation: 2*8=16, Resulting Numbers: [46, 16] Generated Node #3: [46, 16] from Operation: 2*8=16 Current State: 30:[46, 16], Operations: ['73-27=46', '2*8=16'] Exploring Operation: 46-16=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 51, 61, 97, 99 ]
71
[ "99-97=2", "61*2=122", "122-51=71" ]
Current State: 71:[51, 61, 97, 99], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [51, 61, 2] Generated Node #2: [51, 61, 2] from Operation: 99-97=2 Current State: 71:[51, 61, 2], Operations: ['99-97=2'] Exploring Operation: 61*2=122, Resulting Numbers: [51, 122] Generated Node #3: [51, 122] from Operation: 61*2=122 Current State: 71:[51, 122], Operations: ['99-97=2', '61*2=122'] Exploring Operation: 122-51=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 61, 34, 92, 44 ]
65
[ "92+44=136", "136/34=4", "61+4=65" ]
Current State: 65:[61, 34, 92, 44], Operations: [] Exploring Operation: 92+44=136, Resulting Numbers: [61, 34, 136] Generated Node #2: [61, 34, 136] from Operation: 92+44=136 Current State: 65:[61, 34, 136], Operations: ['92+44=136'] Exploring Operation: 136/34=4, Resulting Numbers: [61, 4] Generated Node #3: [61, 4] from Operation: 136/34=4 Current State: 65:[61, 4], Operations: ['92+44=136', '136/34=4'] Exploring Operation: 61+4=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 4, 34, 16, 99 ]
53
[ "4*34=136", "99-16=83", "136-83=53" ]
Current State: 53:[4, 34, 16, 99], Operations: [] Exploring Operation: 4*34=136, Resulting Numbers: [16, 99, 136] Generated Node #2: [16, 99, 136] from Operation: 4*34=136 Current State: 53:[16, 99, 136], Operations: ['4*34=136'] Exploring Operation: 99-16=83, Resulting Numbers: [136, 83] Generated Node #3: [136, 83] from Operation: 99-16=83 Current State: 53:[136, 83], Operations: ['4*34=136', '99-16=83'] Exploring Operation: 136-83=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 46, 40, 64, 2 ]
95
[ "46+64=110", "110/2=55", "40+55=95" ]
Current State: 95:[46, 40, 64, 2], Operations: [] Exploring Operation: 46+64=110, Resulting Numbers: [40, 2, 110] Generated Node #2: [40, 2, 110] from Operation: 46+64=110 Current State: 95:[40, 2, 110], Operations: ['46+64=110'] Exploring Operation: 110/2=55, Resulting Numbers: [40, 55] Generated Node #3: [40, 55] from Operation: 110/2=55 Current State: 95:[40, 55], Operations: ['46+64=110', '110/2=55'] Exploring Operation: 40+55=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 53, 39, 5, 19 ]
78
[ "53+39=92", "19-5=14", "92-14=78" ]
Current State: 78:[53, 39, 5, 19], Operations: [] Exploring Operation: 53+39=92, Resulting Numbers: [5, 19, 92] Generated Node #2: [5, 19, 92] from Operation: 53+39=92 Current State: 78:[5, 19, 92], Operations: ['53+39=92'] Exploring Operation: 19-5=14, Resulting Numbers: [92, 14] Generated Node #3: [92, 14] from Operation: 19-5=14 Current State: 78:[92, 14], Operations: ['53+39=92', '19-5=14'] Exploring Operation: 92-14=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 7, 80, 64, 72 ]
79
[ "7+80=87", "72-64=8", "87-8=79" ]
Current State: 79:[7, 80, 64, 72], Operations: [] Exploring Operation: 7+80=87, Resulting Numbers: [64, 72, 87] Generated Node #2: [64, 72, 87] from Operation: 7+80=87 Current State: 79:[64, 72, 87], Operations: ['7+80=87'] Exploring Operation: 72-64=8, Resulting Numbers: [87, 8] Generated Node #3: [87, 8] from Operation: 72-64=8 Current State: 79:[87, 8], Operations: ['7+80=87', '72-64=8'] Exploring Operation: 87-8=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 49, 48, 89, 48 ]
42
[ "49-48=1", "89-48=41", "1+41=42" ]
Current State: 42:[49, 48, 89, 48], Operations: [] Exploring Operation: 49-48=1, Resulting Numbers: [89, 1] Generated Node #2: [89, 1] from Operation: 49-48=1 Current State: 42:[89, 1], Operations: ['49-48=1'] Exploring Operation: 89-48=41, Resulting Numbers: [1, 41] Generated Node #3: [1, 41] from Operation: 89-48=41 Current State: 42:[1, 41], Operations: ['49-48=1', '89-48=41'] Exploring Operation: 1+41=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 70, 19, 72, 40 ]
52
[ "19+72=91", "40*91=3640", "3640/70=52" ]
Current State: 52:[70, 19, 72, 40], Operations: [] Exploring Operation: 19+72=91, Resulting Numbers: [70, 40, 91] Generated Node #2: [70, 40, 91] from Operation: 19+72=91 Current State: 52:[70, 40, 91], Operations: ['19+72=91'] Exploring Operation: 40*91=3640, Resulting Numbers: [70, 3640] Generated Node #3: [70, 3640] from Operation: 40*91=3640 Current State: 52:[70, 3640], Operations: ['19+72=91', '40*91=3640'] Exploring Operation: 3640/70=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 43, 57, 14, 25 ]
11
[ "43*14=602", "25+602=627", "627/57=11" ]
Current State: 11:[43, 57, 14, 25], Operations: [] Exploring Operation: 43*14=602, Resulting Numbers: [57, 25, 602] Generated Node #2: [57, 25, 602] from Operation: 43*14=602 Current State: 11:[57, 25, 602], Operations: ['43*14=602'] Exploring Operation: 25+602=627, Resulting Numbers: [57, 627] Generated Node #3: [57, 627] from Operation: 25+602=627 Current State: 11:[57, 627], Operations: ['43*14=602', '25+602=627'] Exploring Operation: 627/57=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 43, 1, 52, 56 ]
47
[ "43*1=43", "56-52=4", "43+4=47" ]
Current State: 47:[43, 1, 52, 56], Operations: [] Exploring Operation: 43*1=43, Resulting Numbers: [52, 56, 43] Generated Node #2: [52, 56, 43] from Operation: 43*1=43 Current State: 47:[52, 56, 43], Operations: ['43*1=43'] Exploring Operation: 56-52=4, Resulting Numbers: [43, 4] Generated Node #3: [43, 4] from Operation: 56-52=4 Current State: 47:[43, 4], Operations: ['43*1=43', '56-52=4'] Exploring Operation: 43+4=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 13, 16, 15, 3 ]
81
[ "13*15=195", "195/3=65", "16+65=81" ]
Current State: 81:[13, 16, 15, 3], Operations: [] Exploring Operation: 13*15=195, Resulting Numbers: [16, 3, 195] Generated Node #2: [16, 3, 195] from Operation: 13*15=195 Current State: 81:[16, 3, 195], Operations: ['13*15=195'] Exploring Operation: 195/3=65, Resulting Numbers: [16, 65] Generated Node #3: [16, 65] from Operation: 195/3=65 Current State: 81:[16, 65], Operations: ['13*15=195', '195/3=65'] Exploring Operation: 16+65=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 76, 14, 96, 56 ]
22
[ "76-14=62", "96-56=40", "62-40=22" ]
Current State: 22:[76, 14, 96, 56], Operations: [] Exploring Operation: 76-14=62, Resulting Numbers: [96, 56, 62] Generated Node #2: [96, 56, 62] from Operation: 76-14=62 Current State: 22:[96, 56, 62], Operations: ['76-14=62'] Exploring Operation: 96-56=40, Resulting Numbers: [62, 40] Generated Node #3: [62, 40] from Operation: 96-56=40 Current State: 22:[62, 40], Operations: ['76-14=62', '96-56=40'] Exploring Operation: 62-40=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 66, 49, 29, 2 ]
45
[ "66/2=33", "49+29=78", "78-33=45" ]
Current State: 45:[66, 49, 29, 2], Operations: [] Exploring Operation: 66/2=33, Resulting Numbers: [49, 29, 33] Generated Node #2: [49, 29, 33] from Operation: 66/2=33 Current State: 45:[49, 29, 33], Operations: ['66/2=33'] Exploring Operation: 49+29=78, Resulting Numbers: [33, 78] Generated Node #3: [33, 78] from Operation: 49+29=78 Current State: 45:[33, 78], Operations: ['66/2=33', '49+29=78'] Exploring Operation: 78-33=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 2, 38, 47, 78 ]
94
[ "2*38=76", "78-76=2", "47*2=94" ]
Current State: 94:[2, 38, 47, 78], Operations: [] Exploring Operation: 2*38=76, Resulting Numbers: [47, 78, 76] Generated Node #2: [47, 78, 76] from Operation: 2*38=76 Current State: 94:[47, 78, 76], Operations: ['2*38=76'] Exploring Operation: 78-76=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 78-76=2 Current State: 94:[47, 2], Operations: ['2*38=76', '78-76=2'] Exploring Operation: 47*2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 34, 60, 79, 40 ]
13
[ "60-34=26", "79-40=39", "39-26=13" ]
Current State: 13:[34, 60, 79, 40], Operations: [] Exploring Operation: 60-34=26, Resulting Numbers: [79, 40, 26] Generated Node #2: [79, 40, 26] from Operation: 60-34=26 Current State: 13:[79, 40, 26], Operations: ['60-34=26'] Exploring Operation: 79-40=39, Resulting Numbers: [26, 39] Generated Node #3: [26, 39] from Operation: 79-40=39 Current State: 13:[26, 39], Operations: ['60-34=26', '79-40=39'] Exploring Operation: 39-26=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 38, 96, 67, 46 ]
23
[ "38+96=134", "67*46=3082", "3082/134=23" ]
Current State: 23:[38, 96, 67, 46], Operations: [] Exploring Operation: 38+96=134, Resulting Numbers: [67, 46, 134] Generated Node #2: [67, 46, 134] from Operation: 38+96=134 Current State: 23:[67, 46, 134], Operations: ['38+96=134'] Exploring Operation: 67*46=3082, Resulting Numbers: [134, 3082] Generated Node #3: [134, 3082] from Operation: 67*46=3082 Current State: 23:[134, 3082], Operations: ['38+96=134', '67*46=3082'] Exploring Operation: 3082/134=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 47, 68, 15, 78 ]
13
[ "68-47=21", "21-15=6", "78/6=13" ]
Current State: 13:[47, 68, 15, 78], Operations: [] Exploring Operation: 68-47=21, Resulting Numbers: [15, 78, 21] Generated Node #2: [15, 78, 21] from Operation: 68-47=21 Current State: 13:[15, 78, 21], Operations: ['68-47=21'] Exploring Operation: 21-15=6, Resulting Numbers: [78, 6] Generated Node #3: [78, 6] from Operation: 21-15=6 Current State: 13:[78, 6], Operations: ['68-47=21', '21-15=6'] Exploring Operation: 78/6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 63, 20, 88, 35 ]
91
[ "88*35=3080", "3080/20=154", "154-63=91" ]
Current State: 91:[63, 20, 88, 35], Operations: [] Exploring Operation: 88*35=3080, Resulting Numbers: [63, 20, 3080] Generated Node #2: [63, 20, 3080] from Operation: 88*35=3080 Current State: 91:[63, 20, 3080], Operations: ['88*35=3080'] Exploring Operation: 3080/20=154, Resulting Numbers: [63, 154] Generated Node #3: [63, 154] from Operation: 3080/20=154 Current State: 91:[63, 154], Operations: ['88*35=3080', '3080/20=154'] Exploring Operation: 154-63=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 93, 28, 66, 84 ]
29
[ "93+28=121", "66+84=150", "150-121=29" ]
Current State: 29:[93, 28, 66, 84], Operations: [] Exploring Operation: 93+28=121, Resulting Numbers: [66, 84, 121] Generated Node #2: [66, 84, 121] from Operation: 93+28=121 Current State: 29:[66, 84, 121], Operations: ['93+28=121'] Exploring Operation: 66+84=150, Resulting Numbers: [121, 150] Generated Node #3: [121, 150] from Operation: 66+84=150 Current State: 29:[121, 150], Operations: ['93+28=121', '66+84=150'] Exploring Operation: 150-121=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 13, 90, 17, 81 ]
21
[ "90-13=77", "17+81=98", "98-77=21" ]
Current State: 21:[13, 90, 17, 81], Operations: [] Exploring Operation: 90-13=77, Resulting Numbers: [17, 81, 77] Generated Node #2: [17, 81, 77] from Operation: 90-13=77 Current State: 21:[17, 81, 77], Operations: ['90-13=77'] Exploring Operation: 17+81=98, Resulting Numbers: [77, 98] Generated Node #3: [77, 98] from Operation: 17+81=98 Current State: 21:[77, 98], Operations: ['90-13=77', '17+81=98'] Exploring Operation: 98-77=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 35, 91, 46, 81 ]
63
[ "35*81=2835", "91-46=45", "2835/45=63" ]
Current State: 63:[35, 91, 46, 81], Operations: [] Exploring Operation: 35*81=2835, Resulting Numbers: [91, 46, 2835] Generated Node #2: [91, 46, 2835] from Operation: 35*81=2835 Current State: 63:[91, 46, 2835], Operations: ['35*81=2835'] Exploring Operation: 91-46=45, Resulting Numbers: [2835, 45] Generated Node #3: [2835, 45] from Operation: 91-46=45 Current State: 63:[2835, 45], Operations: ['35*81=2835', '91-46=45'] Exploring Operation: 2835/45=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 38, 14, 2, 45 ]
71
[ "38+14=52", "52/2=26", "45+26=71" ]
Current State: 71:[38, 14, 2, 45], Operations: [] Exploring Operation: 38+14=52, Resulting Numbers: [2, 45, 52] Generated Node #2: [2, 45, 52] from Operation: 38+14=52 Current State: 71:[2, 45, 52], Operations: ['38+14=52'] Exploring Operation: 52/2=26, Resulting Numbers: [45, 26] Generated Node #3: [45, 26] from Operation: 52/2=26 Current State: 71:[45, 26], Operations: ['38+14=52', '52/2=26'] Exploring Operation: 45+26=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 94, 81, 35, 41 ]
36
[ "94+81=175", "175/35=5", "41-5=36" ]
Current State: 36:[94, 81, 35, 41], Operations: [] Exploring Operation: 94+81=175, Resulting Numbers: [35, 41, 175] Generated Node #2: [35, 41, 175] from Operation: 94+81=175 Current State: 36:[35, 41, 175], Operations: ['94+81=175'] Exploring Operation: 175/35=5, Resulting Numbers: [41, 5] Generated Node #3: [41, 5] from Operation: 175/35=5 Current State: 36:[41, 5], Operations: ['94+81=175', '175/35=5'] Exploring Operation: 41-5=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 11, 49, 98, 87 ]
49
[ "11+49=60", "98-87=11", "60-11=49" ]
Current State: 49:[11, 49, 98, 87], Operations: [] Exploring Operation: 11+49=60, Resulting Numbers: [98, 87, 60] Generated Node #2: [98, 87, 60] from Operation: 11+49=60 Current State: 49:[98, 87, 60], Operations: ['11+49=60'] Exploring Operation: 98-87=11, Resulting Numbers: [60, 11] Generated Node #3: [60, 11] from Operation: 98-87=11 Current State: 49:[60, 11], Operations: ['11+49=60', '98-87=11'] Exploring Operation: 60-11=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 36, 6, 93, 6 ]
57
[ "36+6=42", "93+6=99", "99-42=57" ]
Current State: 57:[36, 6, 93, 6], Operations: [] Exploring Operation: 36+6=42, Resulting Numbers: [93, 42] Generated Node #2: [93, 42] from Operation: 36+6=42 Current State: 57:[93, 42], Operations: ['36+6=42'] Exploring Operation: 93+6=99, Resulting Numbers: [42, 99] Generated Node #3: [42, 99] from Operation: 93+6=99 Current State: 57:[42, 99], Operations: ['36+6=42', '93+6=99'] Exploring Operation: 99-42=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 9, 23, 32, 22 ]
31
[ "32*22=704", "9+704=713", "713/23=31" ]
Current State: 31:[9, 23, 32, 22], Operations: [] Exploring Operation: 32*22=704, Resulting Numbers: [9, 23, 704] Generated Node #2: [9, 23, 704] from Operation: 32*22=704 Current State: 31:[9, 23, 704], Operations: ['32*22=704'] Exploring Operation: 9+704=713, Resulting Numbers: [23, 713] Generated Node #3: [23, 713] from Operation: 9+704=713 Current State: 31:[23, 713], Operations: ['32*22=704', '9+704=713'] Exploring Operation: 713/23=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 27, 7, 20, 60 ]
37
[ "27+7=34", "60/20=3", "34+3=37" ]
Current State: 37:[27, 7, 20, 60], Operations: [] Exploring Operation: 27+7=34, Resulting Numbers: [20, 60, 34] Generated Node #2: [20, 60, 34] from Operation: 27+7=34 Current State: 37:[20, 60, 34], Operations: ['27+7=34'] Exploring Operation: 60/20=3, Resulting Numbers: [34, 3] Generated Node #3: [34, 3] from Operation: 60/20=3 Current State: 37:[34, 3], Operations: ['27+7=34', '60/20=3'] Exploring Operation: 34+3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 44, 98, 29, 10 ]
31
[ "98-10=88", "88/44=2", "29+2=31" ]
Current State: 31:[44, 98, 29, 10], Operations: [] Exploring Operation: 98-10=88, Resulting Numbers: [44, 29, 88] Generated Node #2: [44, 29, 88] from Operation: 98-10=88 Current State: 31:[44, 29, 88], Operations: ['98-10=88'] Exploring Operation: 88/44=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 88/44=2 Current State: 31:[29, 2], Operations: ['98-10=88', '88/44=2'] Exploring Operation: 29+2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 67, 37, 83, 7 ]
46
[ "67-37=30", "83-7=76", "76-30=46" ]
Current State: 46:[67, 37, 83, 7], Operations: [] Exploring Operation: 67-37=30, Resulting Numbers: [83, 7, 30] Generated Node #2: [83, 7, 30] from Operation: 67-37=30 Current State: 46:[83, 7, 30], Operations: ['67-37=30'] Exploring Operation: 83-7=76, Resulting Numbers: [30, 76] Generated Node #3: [30, 76] from Operation: 83-7=76 Current State: 46:[30, 76], Operations: ['67-37=30', '83-7=76'] Exploring Operation: 76-30=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 64, 51, 8, 75 ]
17
[ "64+8=72", "75-72=3", "51/3=17" ]
Current State: 17:[64, 51, 8, 75], Operations: [] Exploring Operation: 64+8=72, Resulting Numbers: [51, 75, 72] Generated Node #2: [51, 75, 72] from Operation: 64+8=72 Current State: 17:[51, 75, 72], Operations: ['64+8=72'] Exploring Operation: 75-72=3, Resulting Numbers: [51, 3] Generated Node #3: [51, 3] from Operation: 75-72=3 Current State: 17:[51, 3], Operations: ['64+8=72', '75-72=3'] Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 78, 32, 1, 63 ]
46
[ "78+32=110", "1+63=64", "110-64=46" ]
Current State: 46:[78, 32, 1, 63], Operations: [] Exploring Operation: 78+32=110, Resulting Numbers: [1, 63, 110] Generated Node #2: [1, 63, 110] from Operation: 78+32=110 Current State: 46:[1, 63, 110], Operations: ['78+32=110'] Exploring Operation: 1+63=64, Resulting Numbers: [110, 64] Generated Node #3: [110, 64] from Operation: 1+63=64 Current State: 46:[110, 64], Operations: ['78+32=110', '1+63=64'] Exploring Operation: 110-64=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 11, 2, 22, 65 ]
30
[ "11+2=13", "65-22=43", "43-13=30" ]
Current State: 30:[11, 2, 22, 65], Operations: [] Exploring Operation: 11+2=13, Resulting Numbers: [22, 65, 13] Generated Node #2: [22, 65, 13] from Operation: 11+2=13 Current State: 30:[22, 65, 13], Operations: ['11+2=13'] Exploring Operation: 65-22=43, Resulting Numbers: [13, 43] Generated Node #3: [13, 43] from Operation: 65-22=43 Current State: 30:[13, 43], Operations: ['11+2=13', '65-22=43'] Exploring Operation: 43-13=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 62, 45, 3, 63 ]
16
[ "63-62=1", "45/3=15", "1+15=16" ]
Current State: 16:[62, 45, 3, 63], Operations: [] Exploring Operation: 63-62=1, Resulting Numbers: [45, 3, 1] Generated Node #2: [45, 3, 1] from Operation: 63-62=1 Current State: 16:[45, 3, 1], Operations: ['63-62=1'] Exploring Operation: 45/3=15, Resulting Numbers: [1, 15] Generated Node #3: [1, 15] from Operation: 45/3=15 Current State: 16:[1, 15], Operations: ['63-62=1', '45/3=15'] Exploring Operation: 1+15=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 8, 60, 44, 58 ]
26
[ "8+44=52", "60-58=2", "52/2=26" ]
Current State: 26:[8, 60, 44, 58], Operations: [] Exploring Operation: 8+44=52, Resulting Numbers: [60, 58, 52] Generated Node #2: [60, 58, 52] from Operation: 8+44=52 Current State: 26:[60, 58, 52], Operations: ['8+44=52'] Exploring Operation: 60-58=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 60-58=2 Current State: 26:[52, 2], Operations: ['8+44=52', '60-58=2'] Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 36, 19, 28, 26 ]
74
[ "28-26=2", "19*2=38", "36+38=74" ]
Current State: 74:[36, 19, 28, 26], Operations: [] Exploring Operation: 28-26=2, Resulting Numbers: [36, 19, 2] Generated Node #2: [36, 19, 2] from Operation: 28-26=2 Current State: 74:[36, 19, 2], Operations: ['28-26=2'] Exploring Operation: 19*2=38, Resulting Numbers: [36, 38] Generated Node #3: [36, 38] from Operation: 19*2=38 Current State: 74:[36, 38], Operations: ['28-26=2', '19*2=38'] Exploring Operation: 36+38=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 91, 29, 98, 49 ]
33
[ "29*98=2842", "2842/49=58", "91-58=33" ]
Current State: 33:[91, 29, 98, 49], Operations: [] Exploring Operation: 29*98=2842, Resulting Numbers: [91, 49, 2842] Generated Node #2: [91, 49, 2842] from Operation: 29*98=2842 Current State: 33:[91, 49, 2842], Operations: ['29*98=2842'] Exploring Operation: 2842/49=58, Resulting Numbers: [91, 58] Generated Node #3: [91, 58] from Operation: 2842/49=58 Current State: 33:[91, 58], Operations: ['29*98=2842', '2842/49=58'] Exploring Operation: 91-58=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 49, 7, 6, 12 ]
79
[ "49/7=7", "6*12=72", "7+72=79" ]
Current State: 79:[49, 7, 6, 12], Operations: [] Exploring Operation: 49/7=7, Resulting Numbers: [6, 12, 7] Generated Node #2: [6, 12, 7] from Operation: 49/7=7 Current State: 79:[6, 12, 7], Operations: ['49/7=7'] Exploring Operation: 6*12=72, Resulting Numbers: [7, 72] Generated Node #3: [7, 72] from Operation: 6*12=72 Current State: 79:[7, 72], Operations: ['49/7=7', '6*12=72'] Exploring Operation: 7+72=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 16, 42, 36, 21 ]
18
[ "36-16=20", "42/21=2", "20-2=18" ]
Current State: 18:[16, 42, 36, 21], Operations: [] Exploring Operation: 36-16=20, Resulting Numbers: [42, 21, 20] Generated Node #2: [42, 21, 20] from Operation: 36-16=20 Current State: 18:[42, 21, 20], Operations: ['36-16=20'] Exploring Operation: 42/21=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 42/21=2 Current State: 18:[20, 2], Operations: ['36-16=20', '42/21=2'] Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 62, 38, 14, 65 ]
67
[ "62+14=76", "76/38=2", "65+2=67" ]
Current State: 67:[62, 38, 14, 65], Operations: [] Exploring Operation: 62+14=76, Resulting Numbers: [38, 65, 76] Generated Node #2: [38, 65, 76] from Operation: 62+14=76 Current State: 67:[38, 65, 76], Operations: ['62+14=76'] Exploring Operation: 76/38=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 76/38=2 Current State: 67:[65, 2], Operations: ['62+14=76', '76/38=2'] Exploring Operation: 65+2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 19, 45, 83, 48 ]
61
[ "45-19=26", "83-48=35", "26+35=61" ]
Current State: 61:[19, 45, 83, 48], Operations: [] Exploring Operation: 45-19=26, Resulting Numbers: [83, 48, 26] Generated Node #2: [83, 48, 26] from Operation: 45-19=26 Current State: 61:[83, 48, 26], Operations: ['45-19=26'] Exploring Operation: 83-48=35, Resulting Numbers: [26, 35] Generated Node #3: [26, 35] from Operation: 83-48=35 Current State: 61:[26, 35], Operations: ['45-19=26', '83-48=35'] Exploring Operation: 26+35=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 42, 32, 28, 52 ]
22
[ "42*28=1176", "1176-32=1144", "1144/52=22" ]
Current State: 22:[42, 32, 28, 52], Operations: [] Exploring Operation: 42*28=1176, Resulting Numbers: [32, 52, 1176] Generated Node #2: [32, 52, 1176] from Operation: 42*28=1176 Current State: 22:[32, 52, 1176], Operations: ['42*28=1176'] Exploring Operation: 1176-32=1144, Resulting Numbers: [52, 1144] Generated Node #3: [52, 1144] from Operation: 1176-32=1144 Current State: 22:[52, 1144], Operations: ['42*28=1176', '1176-32=1144'] Exploring Operation: 1144/52=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 8, 31, 15, 30 ]
84
[ "8+31=39", "15+30=45", "39+45=84" ]
Current State: 84:[8, 31, 15, 30], Operations: [] Exploring Operation: 8+31=39, Resulting Numbers: [15, 30, 39] Generated Node #2: [15, 30, 39] from Operation: 8+31=39 Current State: 84:[15, 30, 39], Operations: ['8+31=39'] Exploring Operation: 15+30=45, Resulting Numbers: [39, 45] Generated Node #3: [39, 45] from Operation: 15+30=45 Current State: 84:[39, 45], Operations: ['8+31=39', '15+30=45'] Exploring Operation: 39+45=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 2, 12, 18, 26 ]
76
[ "18+26=44", "2*44=88", "88-12=76" ]
Current State: 76:[2, 12, 18, 26], Operations: [] Exploring Operation: 18+26=44, Resulting Numbers: [2, 12, 44] Generated Node #2: [2, 12, 44] from Operation: 18+26=44 Current State: 76:[2, 12, 44], Operations: ['18+26=44'] Exploring Operation: 2*44=88, Resulting Numbers: [12, 88] Generated Node #3: [12, 88] from Operation: 2*44=88 Current State: 76:[12, 88], Operations: ['18+26=44', '2*44=88'] Exploring Operation: 88-12=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 69, 65, 2, 51 ]
81
[ "69+65=134", "2+51=53", "134-53=81" ]
Current State: 81:[69, 65, 2, 51], Operations: [] Exploring Operation: 69+65=134, Resulting Numbers: [2, 51, 134] Generated Node #2: [2, 51, 134] from Operation: 69+65=134 Current State: 81:[2, 51, 134], Operations: ['69+65=134'] Exploring Operation: 2+51=53, Resulting Numbers: [134, 53] Generated Node #3: [134, 53] from Operation: 2+51=53 Current State: 81:[134, 53], Operations: ['69+65=134', '2+51=53'] Exploring Operation: 134-53=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 26, 61, 28, 93 ]
29
[ "28-26=2", "61*2=122", "122-93=29" ]
Current State: 29:[26, 61, 28, 93], Operations: [] Exploring Operation: 28-26=2, Resulting Numbers: [61, 93, 2] Generated Node #2: [61, 93, 2] from Operation: 28-26=2 Current State: 29:[61, 93, 2], Operations: ['28-26=2'] Exploring Operation: 61*2=122, Resulting Numbers: [93, 122] Generated Node #3: [93, 122] from Operation: 61*2=122 Current State: 29:[93, 122], Operations: ['28-26=2', '61*2=122'] Exploring Operation: 122-93=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 20, 69, 49, 13 ]
85
[ "69-20=49", "49-13=36", "49+36=85" ]
Current State: 85:[20, 69, 49, 13], Operations: [] Exploring Operation: 69-20=49, Resulting Numbers: [49, 13, 49] Generated Node #2: [49, 13, 49] from Operation: 69-20=49 Current State: 85:[49, 13, 49], Operations: ['69-20=49'] Exploring Operation: 49-13=36, Resulting Numbers: [36] 36,85 equal: Goal Reached Exploring Operation: 49+36=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 87, 52, 4, 97 ]
24
[ "87+97=184", "52*4=208", "208-184=24" ]
Current State: 24:[87, 52, 4, 97], Operations: [] Exploring Operation: 87+97=184, Resulting Numbers: [52, 4, 184] Generated Node #2: [52, 4, 184] from Operation: 87+97=184 Current State: 24:[52, 4, 184], Operations: ['87+97=184'] Exploring Operation: 52*4=208, Resulting Numbers: [184, 208] Generated Node #3: [184, 208] from Operation: 52*4=208 Current State: 24:[184, 208], Operations: ['87+97=184', '52*4=208'] Exploring Operation: 208-184=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 96, 83, 23, 80 ]
72
[ "83-23=60", "96*60=5760", "5760/80=72" ]
Current State: 72:[96, 83, 23, 80], Operations: [] Exploring Operation: 83-23=60, Resulting Numbers: [96, 80, 60] Generated Node #2: [96, 80, 60] from Operation: 83-23=60 Current State: 72:[96, 80, 60], Operations: ['83-23=60'] Exploring Operation: 96*60=5760, Resulting Numbers: [80, 5760] Generated Node #3: [80, 5760] from Operation: 96*60=5760 Current State: 72:[80, 5760], Operations: ['83-23=60', '96*60=5760'] Exploring Operation: 5760/80=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 40, 87, 68, 34 ]
67
[ "40*34=1360", "1360/68=20", "87-20=67" ]
Current State: 67:[40, 87, 68, 34], Operations: [] Exploring Operation: 40*34=1360, Resulting Numbers: [87, 68, 1360] Generated Node #2: [87, 68, 1360] from Operation: 40*34=1360 Current State: 67:[87, 68, 1360], Operations: ['40*34=1360'] Exploring Operation: 1360/68=20, Resulting Numbers: [87, 20] Generated Node #3: [87, 20] from Operation: 1360/68=20 Current State: 67:[87, 20], Operations: ['40*34=1360', '1360/68=20'] Exploring Operation: 87-20=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 5, 85, 31, 3 ]
20
[ "85/5=17", "3*17=51", "51-31=20" ]
Current State: 20:[5, 85, 31, 3], Operations: [] Exploring Operation: 85/5=17, Resulting Numbers: [31, 3, 17] Generated Node #2: [31, 3, 17] from Operation: 85/5=17 Current State: 20:[31, 3, 17], Operations: ['85/5=17'] Exploring Operation: 3*17=51, Resulting Numbers: [31, 51] Generated Node #3: [31, 51] from Operation: 3*17=51 Current State: 20:[31, 51], Operations: ['85/5=17', '3*17=51'] Exploring Operation: 51-31=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 51, 86, 50, 25 ]
10
[ "86-51=35", "50-25=25", "35-25=10" ]
Current State: 10:[51, 86, 50, 25], Operations: [] Exploring Operation: 86-51=35, Resulting Numbers: [50, 25, 35] Generated Node #2: [50, 25, 35] from Operation: 86-51=35 Current State: 10:[50, 25, 35], Operations: ['86-51=35'] Exploring Operation: 50-25=25, Resulting Numbers: [35, 25] Generated Node #3: [35, 25] from Operation: 50-25=25 Current State: 10:[35, 25], Operations: ['86-51=35', '50-25=25'] Exploring Operation: 35-25=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 44, 36, 14, 74 ]
35
[ "36+74=110", "14*110=1540", "1540/44=35" ]
Current State: 35:[44, 36, 14, 74], Operations: [] Exploring Operation: 36+74=110, Resulting Numbers: [44, 14, 110] Generated Node #2: [44, 14, 110] from Operation: 36+74=110 Current State: 35:[44, 14, 110], Operations: ['36+74=110'] Exploring Operation: 14*110=1540, Resulting Numbers: [44, 1540] Generated Node #3: [44, 1540] from Operation: 14*110=1540 Current State: 35:[44, 1540], Operations: ['36+74=110', '14*110=1540'] Exploring Operation: 1540/44=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 29, 63, 48, 72 ]
58
[ "63-29=34", "72-48=24", "34+24=58" ]
Current State: 58:[29, 63, 48, 72], Operations: [] Exploring Operation: 63-29=34, Resulting Numbers: [48, 72, 34] Generated Node #2: [48, 72, 34] from Operation: 63-29=34 Current State: 58:[48, 72, 34], Operations: ['63-29=34'] Exploring Operation: 72-48=24, Resulting Numbers: [34, 24] Generated Node #3: [34, 24] from Operation: 72-48=24 Current State: 58:[34, 24], Operations: ['63-29=34', '72-48=24'] Exploring Operation: 34+24=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 43, 41, 93, 65 ]
56
[ "43+41=84", "93-65=28", "84-28=56" ]
Current State: 56:[43, 41, 93, 65], Operations: [] Exploring Operation: 43+41=84, Resulting Numbers: [93, 65, 84] Generated Node #2: [93, 65, 84] from Operation: 43+41=84 Current State: 56:[93, 65, 84], Operations: ['43+41=84'] Exploring Operation: 93-65=28, Resulting Numbers: [84, 28] Generated Node #3: [84, 28] from Operation: 93-65=28 Current State: 56:[84, 28], Operations: ['43+41=84', '93-65=28'] Exploring Operation: 84-28=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 55, 8, 95, 16 ]
32
[ "55-8=47", "95-16=79", "79-47=32" ]
Current State: 32:[55, 8, 95, 16], Operations: [] Exploring Operation: 55-8=47, Resulting Numbers: [95, 16, 47] Generated Node #2: [95, 16, 47] from Operation: 55-8=47 Current State: 32:[95, 16, 47], Operations: ['55-8=47'] Exploring Operation: 95-16=79, Resulting Numbers: [47, 79] Generated Node #3: [47, 79] from Operation: 95-16=79 Current State: 32:[47, 79], Operations: ['55-8=47', '95-16=79'] Exploring Operation: 79-47=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 28, 30, 51, 76 ]
33
[ "28+30=58", "76-51=25", "58-25=33" ]
Current State: 33:[28, 30, 51, 76], Operations: [] Exploring Operation: 28+30=58, Resulting Numbers: [51, 76, 58] Generated Node #2: [51, 76, 58] from Operation: 28+30=58 Current State: 33:[51, 76, 58], Operations: ['28+30=58'] Exploring Operation: 76-51=25, Resulting Numbers: [58, 25] Generated Node #3: [58, 25] from Operation: 76-51=25 Current State: 33:[58, 25], Operations: ['28+30=58', '76-51=25'] Exploring Operation: 58-25=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 98, 22, 48, 36 ]
36
[ "98+22=120", "48+36=84", "120-84=36" ]
Current State: 36:[98, 22, 48, 36], Operations: [] Exploring Operation: 98+22=120, Resulting Numbers: [48, 36, 120] Generated Node #2: [48, 36, 120] from Operation: 98+22=120 Current State: 36:[48, 36, 120], Operations: ['98+22=120'] Exploring Operation: 48+36=84, Resulting Numbers: [120, 84] Generated Node #3: [120, 84] from Operation: 48+36=84 Current State: 36:[120, 84], Operations: ['98+22=120', '48+36=84'] Exploring Operation: 120-84=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 7, 89, 45, 96 ]
59
[ "89-7=82", "45+96=141", "141-82=59" ]
Current State: 59:[7, 89, 45, 96], Operations: [] Exploring Operation: 89-7=82, Resulting Numbers: [45, 96, 82] Generated Node #2: [45, 96, 82] from Operation: 89-7=82 Current State: 59:[45, 96, 82], Operations: ['89-7=82'] Exploring Operation: 45+96=141, Resulting Numbers: [82, 141] Generated Node #3: [82, 141] from Operation: 45+96=141 Current State: 59:[82, 141], Operations: ['89-7=82', '45+96=141'] Exploring Operation: 141-82=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 99, 77, 61, 87 ]
48
[ "99-77=22", "87-61=26", "22+26=48" ]
Current State: 48:[99, 77, 61, 87], Operations: [] Exploring Operation: 99-77=22, Resulting Numbers: [61, 87, 22] Generated Node #2: [61, 87, 22] from Operation: 99-77=22 Current State: 48:[61, 87, 22], Operations: ['99-77=22'] Exploring Operation: 87-61=26, Resulting Numbers: [22, 26] Generated Node #3: [22, 26] from Operation: 87-61=26 Current State: 48:[22, 26], Operations: ['99-77=22', '87-61=26'] Exploring Operation: 22+26=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 51, 84, 20, 60 ]
79
[ "84*20=1680", "1680/60=28", "51+28=79" ]
Current State: 79:[51, 84, 20, 60], Operations: [] Exploring Operation: 84*20=1680, Resulting Numbers: [51, 60, 1680] Generated Node #2: [51, 60, 1680] from Operation: 84*20=1680 Current State: 79:[51, 60, 1680], Operations: ['84*20=1680'] Exploring Operation: 1680/60=28, Resulting Numbers: [51, 28] Generated Node #3: [51, 28] from Operation: 1680/60=28 Current State: 79:[51, 28], Operations: ['84*20=1680', '1680/60=28'] Exploring Operation: 51+28=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 64, 10, 90, 34 ]
80
[ "90-64=26", "34-26=8", "10*8=80" ]
Current State: 80:[64, 10, 90, 34], Operations: [] Exploring Operation: 90-64=26, Resulting Numbers: [10, 34, 26] Generated Node #2: [10, 34, 26] from Operation: 90-64=26 Current State: 80:[10, 34, 26], Operations: ['90-64=26'] Exploring Operation: 34-26=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 34-26=8 Current State: 80:[10, 8], Operations: ['90-64=26', '34-26=8'] Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 18, 90, 15, 96 ]
32
[ "90/18=5", "15/5=3", "96/3=32" ]
Current State: 32:[18, 90, 15, 96], Operations: [] Exploring Operation: 90/18=5, Resulting Numbers: [15, 96, 5] Generated Node #2: [15, 96, 5] from Operation: 90/18=5 Current State: 32:[15, 96, 5], Operations: ['90/18=5'] Exploring Operation: 15/5=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 15/5=3 Current State: 32:[96, 3], Operations: ['90/18=5', '15/5=3'] Exploring Operation: 96/3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 68, 34, 57, 79 ]
34
[ "68+34=102", "57+79=136", "136-102=34" ]
Current State: 34:[68, 34, 57, 79], Operations: [] Exploring Operation: 68+34=102, Resulting Numbers: [57, 79, 102] Generated Node #2: [57, 79, 102] from Operation: 68+34=102 Current State: 34:[57, 79, 102], Operations: ['68+34=102'] Exploring Operation: 57+79=136, Resulting Numbers: [102, 136] Generated Node #3: [102, 136] from Operation: 57+79=136 Current State: 34:[102, 136], Operations: ['68+34=102', '57+79=136'] Exploring Operation: 136-102=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 44, 34, 31, 22 ]
66
[ "44-22=22", "34-31=3", "22*3=66" ]
Current State: 66:[44, 34, 31, 22], Operations: [] Exploring Operation: 44-22=22, Resulting Numbers: [34, 31, 22] Generated Node #2: [34, 31, 22] from Operation: 44-22=22 Current State: 66:[34, 31, 22], Operations: ['44-22=22'] Exploring Operation: 34-31=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 34-31=3 Current State: 66:[22, 3], Operations: ['44-22=22', '34-31=3'] Exploring Operation: 22*3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 93, 76, 7, 72 ]
25
[ "93+7=100", "76-72=4", "100/4=25" ]
Current State: 25:[93, 76, 7, 72], Operations: [] Exploring Operation: 93+7=100, Resulting Numbers: [76, 72, 100] Generated Node #2: [76, 72, 100] from Operation: 93+7=100 Current State: 25:[76, 72, 100], Operations: ['93+7=100'] Exploring Operation: 76-72=4, Resulting Numbers: [100, 4] Generated Node #3: [100, 4] from Operation: 76-72=4 Current State: 25:[100, 4], Operations: ['93+7=100', '76-72=4'] Exploring Operation: 100/4=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 77, 50, 39, 11 ]
76
[ "50-39=11", "11/11=1", "77-1=76" ]
Current State: 76:[77, 50, 39, 11], Operations: [] Exploring Operation: 50-39=11, Resulting Numbers: [77, 11, 11] Generated Node #2: [77, 11, 11] from Operation: 50-39=11 Current State: 76:[77, 11, 11], Operations: ['50-39=11'] Exploring Operation: 11/11=1, Resulting Numbers: [77, 1] Generated Node #3: [77, 1] from Operation: 11/11=1 Current State: 76:[77, 1], Operations: ['50-39=11', '11/11=1'] Exploring Operation: 77-1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 29, 87, 91, 9 ]
23
[ "29+87=116", "91+116=207", "207/9=23" ]
Current State: 23:[29, 87, 91, 9], Operations: [] Exploring Operation: 29+87=116, Resulting Numbers: [91, 9, 116] Generated Node #2: [91, 9, 116] from Operation: 29+87=116 Current State: 23:[91, 9, 116], Operations: ['29+87=116'] Exploring Operation: 91+116=207, Resulting Numbers: [9, 207] Generated Node #3: [9, 207] from Operation: 91+116=207 Current State: 23:[9, 207], Operations: ['29+87=116', '91+116=207'] Exploring Operation: 207/9=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 57, 53, 77, 75 ]
61
[ "77-75=2", "57*2=114", "114-53=61" ]
Current State: 61:[57, 53, 77, 75], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [57, 53, 2] Generated Node #2: [57, 53, 2] from Operation: 77-75=2 Current State: 61:[57, 53, 2], Operations: ['77-75=2'] Exploring Operation: 57*2=114, Resulting Numbers: [53, 114] Generated Node #3: [53, 114] from Operation: 57*2=114 Current State: 61:[53, 114], Operations: ['77-75=2', '57*2=114'] Exploring Operation: 114-53=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 50, 35, 4, 16 ]
89
[ "50+35=85", "16/4=4", "85+4=89" ]
Current State: 89:[50, 35, 4, 16], Operations: [] Exploring Operation: 50+35=85, Resulting Numbers: [4, 16, 85] Generated Node #2: [4, 16, 85] from Operation: 50+35=85 Current State: 89:[4, 16, 85], Operations: ['50+35=85'] Exploring Operation: 16/4=4, Resulting Numbers: [85, 4] Generated Node #3: [85, 4] from Operation: 16/4=4 Current State: 89:[85, 4], Operations: ['50+35=85', '16/4=4'] Exploring Operation: 85+4=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 85, 93, 65, 98 ]
25
[ "93-85=8", "98-65=33", "33-8=25" ]
Current State: 25:[85, 93, 65, 98], Operations: [] Exploring Operation: 93-85=8, Resulting Numbers: [65, 98, 8] Generated Node #2: [65, 98, 8] from Operation: 93-85=8 Current State: 25:[65, 98, 8], Operations: ['93-85=8'] Exploring Operation: 98-65=33, Resulting Numbers: [8, 33] Generated Node #3: [8, 33] from Operation: 98-65=33 Current State: 25:[8, 33], Operations: ['93-85=8', '98-65=33'] Exploring Operation: 33-8=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 13, 4, 28, 59 ]
16
[ "4*59=236", "236-28=208", "208/13=16" ]
Current State: 16:[13, 4, 28, 59], Operations: [] Exploring Operation: 4*59=236, Resulting Numbers: [13, 28, 236] Generated Node #2: [13, 28, 236] from Operation: 4*59=236 Current State: 16:[13, 28, 236], Operations: ['4*59=236'] Exploring Operation: 236-28=208, Resulting Numbers: [13, 208] Generated Node #3: [13, 208] from Operation: 236-28=208 Current State: 16:[13, 208], Operations: ['4*59=236', '236-28=208'] Exploring Operation: 208/13=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 74, 64, 64, 26 ]
100
[ "74+64=138", "64-26=38", "138-38=100" ]
Current State: 100:[74, 64, 64, 26], Operations: [] Exploring Operation: 74+64=138, Resulting Numbers: [26, 138] Generated Node #2: [26, 138] from Operation: 74+64=138 Current State: 100:[26, 138], Operations: ['74+64=138'] Exploring Operation: 64-26=38, Resulting Numbers: [138, 38] Generated Node #3: [138, 38] from Operation: 64-26=38 Current State: 100:[138, 38], Operations: ['74+64=138', '64-26=38'] Exploring Operation: 138-38=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 27, 21, 3, 54 ]
39
[ "54/27=2", "21*2=42", "42-3=39" ]
Current State: 39:[27, 21, 3, 54], Operations: [] Exploring Operation: 54/27=2, Resulting Numbers: [21, 3, 2] Generated Node #2: [21, 3, 2] from Operation: 54/27=2 Current State: 39:[21, 3, 2], Operations: ['54/27=2'] Exploring Operation: 21*2=42, Resulting Numbers: [3, 42] Generated Node #3: [3, 42] from Operation: 21*2=42 Current State: 39:[3, 42], Operations: ['54/27=2', '21*2=42'] Exploring Operation: 42-3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 2, 20, 11, 36 ]
44
[ "2*20=40", "40-36=4", "11*4=44" ]
Current State: 44:[2, 20, 11, 36], Operations: [] Exploring Operation: 2*20=40, Resulting Numbers: [11, 36, 40] Generated Node #2: [11, 36, 40] from Operation: 2*20=40 Current State: 44:[11, 36, 40], Operations: ['2*20=40'] Exploring Operation: 40-36=4, Resulting Numbers: [11, 4] Generated Node #3: [11, 4] from Operation: 40-36=4 Current State: 44:[11, 4], Operations: ['2*20=40', '40-36=4'] Exploring Operation: 11*4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 13, 70, 84, 37 ]
37
[ "13+70=83", "84-83=1", "37*1=37" ]
Current State: 37:[13, 70, 84, 37], Operations: [] Exploring Operation: 13+70=83, Resulting Numbers: [84, 37, 83] Generated Node #2: [84, 37, 83] from Operation: 13+70=83 Current State: 37:[84, 37, 83], Operations: ['13+70=83'] Exploring Operation: 84-83=1, Resulting Numbers: [37, 1] Generated Node #3: [37, 1] from Operation: 84-83=1 Current State: 37:[37, 1], Operations: ['13+70=83', '84-83=1'] Exploring Operation: 37*1=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 28, 11, 49, 58 ]
65
[ "28+49=77", "77/11=7", "58+7=65" ]
Current State: 65:[28, 11, 49, 58], Operations: [] Exploring Operation: 28+49=77, Resulting Numbers: [11, 58, 77] Generated Node #2: [11, 58, 77] from Operation: 28+49=77 Current State: 65:[11, 58, 77], Operations: ['28+49=77'] Exploring Operation: 77/11=7, Resulting Numbers: [58, 7] Generated Node #3: [58, 7] from Operation: 77/11=7 Current State: 65:[58, 7], Operations: ['28+49=77', '77/11=7'] Exploring Operation: 58+7=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 49, 30, 21, 84 ]
83
[ "49+30=79", "84/21=4", "79+4=83" ]
Current State: 83:[49, 30, 21, 84], Operations: [] Exploring Operation: 49+30=79, Resulting Numbers: [21, 84, 79] Generated Node #2: [21, 84, 79] from Operation: 49+30=79 Current State: 83:[21, 84, 79], Operations: ['49+30=79'] Exploring Operation: 84/21=4, Resulting Numbers: [79, 4] Generated Node #3: [79, 4] from Operation: 84/21=4 Current State: 83:[79, 4], Operations: ['49+30=79', '84/21=4'] Exploring Operation: 79+4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 48, 66, 23, 8 ]
70
[ "48+66=114", "23*8=184", "184-114=70" ]
Current State: 70:[48, 66, 23, 8], Operations: [] Exploring Operation: 48+66=114, Resulting Numbers: [23, 8, 114] Generated Node #2: [23, 8, 114] from Operation: 48+66=114 Current State: 70:[23, 8, 114], Operations: ['48+66=114'] Exploring Operation: 23*8=184, Resulting Numbers: [114, 184] Generated Node #3: [114, 184] from Operation: 23*8=184 Current State: 70:[114, 184], Operations: ['48+66=114', '23*8=184'] Exploring Operation: 184-114=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 83, 91, 25, 83 ]
100
[ "91-83=8", "25+83=108", "108-8=100" ]
Current State: 100:[83, 91, 25, 83], Operations: [] Exploring Operation: 91-83=8, Resulting Numbers: [25, 8] Generated Node #2: [25, 8] from Operation: 91-83=8 Current State: 100:[25, 8], Operations: ['91-83=8'] Exploring Operation: 25+83=108, Resulting Numbers: [8, 108] Generated Node #3: [8, 108] from Operation: 25+83=108 Current State: 100:[8, 108], Operations: ['91-83=8', '25+83=108'] Exploring Operation: 108-8=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 4, 13, 63, 18 ]
28
[ "4+13=17", "63-18=45", "45-17=28" ]
Current State: 28:[4, 13, 63, 18], Operations: [] Exploring Operation: 4+13=17, Resulting Numbers: [63, 18, 17] Generated Node #2: [63, 18, 17] from Operation: 4+13=17 Current State: 28:[63, 18, 17], Operations: ['4+13=17'] Exploring Operation: 63-18=45, Resulting Numbers: [17, 45] Generated Node #3: [17, 45] from Operation: 63-18=45 Current State: 28:[17, 45], Operations: ['4+13=17', '63-18=45'] Exploring Operation: 45-17=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 11, 3, 65, 27 ]
46
[ "11-3=8", "65-27=38", "8+38=46" ]
Current State: 46:[11, 3, 65, 27], Operations: [] Exploring Operation: 11-3=8, Resulting Numbers: [65, 27, 8] Generated Node #2: [65, 27, 8] from Operation: 11-3=8 Current State: 46:[65, 27, 8], Operations: ['11-3=8'] Exploring Operation: 65-27=38, Resulting Numbers: [8, 38] Generated Node #3: [8, 38] from Operation: 65-27=38 Current State: 46:[8, 38], Operations: ['11-3=8', '65-27=38'] Exploring Operation: 8+38=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 3, 16, 5, 94 ]
35
[ "16-5=11", "94+11=105", "105/3=35" ]
Current State: 35:[3, 16, 5, 94], Operations: [] Exploring Operation: 16-5=11, Resulting Numbers: [3, 94, 11] Generated Node #2: [3, 94, 11] from Operation: 16-5=11 Current State: 35:[3, 94, 11], Operations: ['16-5=11'] Exploring Operation: 94+11=105, Resulting Numbers: [3, 105] Generated Node #3: [3, 105] from Operation: 94+11=105 Current State: 35:[3, 105], Operations: ['16-5=11', '94+11=105'] Exploring Operation: 105/3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 27, 15, 82, 77 ]
21
[ "82-27=55", "15*77=1155", "1155/55=21" ]
Current State: 21:[27, 15, 82, 77], Operations: [] Exploring Operation: 82-27=55, Resulting Numbers: [15, 77, 55] Generated Node #2: [15, 77, 55] from Operation: 82-27=55 Current State: 21:[15, 77, 55], Operations: ['82-27=55'] Exploring Operation: 15*77=1155, Resulting Numbers: [55, 1155] Generated Node #3: [55, 1155] from Operation: 15*77=1155 Current State: 21:[55, 1155], Operations: ['82-27=55', '15*77=1155'] Exploring Operation: 1155/55=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 78, 42, 98, 41 ]
93
[ "78-42=36", "98-41=57", "36+57=93" ]
Current State: 93:[78, 42, 98, 41], Operations: [] Exploring Operation: 78-42=36, Resulting Numbers: [98, 41, 36] Generated Node #2: [98, 41, 36] from Operation: 78-42=36 Current State: 93:[98, 41, 36], Operations: ['78-42=36'] Exploring Operation: 98-41=57, Resulting Numbers: [36, 57] Generated Node #3: [36, 57] from Operation: 98-41=57 Current State: 93:[36, 57], Operations: ['78-42=36', '98-41=57'] Exploring Operation: 36+57=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 45, 20, 35, 33 ]
43
[ "45-20=25", "35+33=68", "68-25=43" ]
Current State: 43:[45, 20, 35, 33], Operations: [] Exploring Operation: 45-20=25, Resulting Numbers: [35, 33, 25] Generated Node #2: [35, 33, 25] from Operation: 45-20=25 Current State: 43:[35, 33, 25], Operations: ['45-20=25'] Exploring Operation: 35+33=68, Resulting Numbers: [25, 68] Generated Node #3: [25, 68] from Operation: 35+33=68 Current State: 43:[25, 68], Operations: ['45-20=25', '35+33=68'] Exploring Operation: 68-25=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4