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
[ 91, 49, 3, 11 ]
45
[ "91+11=102", "49*3=147", "147-102=45" ]
Current State: 45:[91, 49, 3, 11], Operations: [] Exploring Operation: 91+11=102, Resulting Numbers: [49, 3, 102] Generated Node #2: [49, 3, 102] from Operation: 91+11=102 Current State: 45:[49, 3, 102], Operations: ['91+11=102'] Exploring Operation: 49*3=147, Resulting Numbers: [102, 147] Generated Node #3: [102, 147] from Operation: 49*3=147 Current State: 45:[102, 147], Operations: ['91+11=102', '49*3=147'] Exploring Operation: 147-102=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 35, 12, 7, 22 ]
29
[ "35/7=5", "12+22=34", "34-5=29" ]
Current State: 29:[35, 12, 7, 22], Operations: [] Exploring Operation: 35/7=5, Resulting Numbers: [12, 22, 5] Generated Node #2: [12, 22, 5] from Operation: 35/7=5 Current State: 29:[12, 22, 5], Operations: ['35/7=5'] Exploring Operation: 12+22=34, Resulting Numbers: [5, 34] Generated Node #3: [5, 34] from Operation: 12+22=34 Current State: 29:[5, 34], Operations: ['35/7=5', '12+22=34'] Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 48, 81, 14, 40 ]
59
[ "81-48=33", "40-14=26", "33+26=59" ]
Current State: 59:[48, 81, 14, 40], Operations: [] Exploring Operation: 81-48=33, Resulting Numbers: [14, 40, 33] Generated Node #2: [14, 40, 33] from Operation: 81-48=33 Current State: 59:[14, 40, 33], Operations: ['81-48=33'] Exploring Operation: 40-14=26, Resulting Numbers: [33, 26] Generated Node #3: [33, 26] from Operation: 40-14=26 Current State: 59:[33, 26], Operations: ['81-48=33', '40-14=26'] Exploring Operation: 33+26=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 15, 38, 22, 2 ]
47
[ "38-15=23", "22+2=24", "23+24=47" ]
Current State: 47:[15, 38, 22, 2], Operations: [] Exploring Operation: 38-15=23, Resulting Numbers: [22, 2, 23] Generated Node #2: [22, 2, 23] from Operation: 38-15=23 Current State: 47:[22, 2, 23], Operations: ['38-15=23'] Exploring Operation: 22+2=24, Resulting Numbers: [23, 24] Generated Node #3: [23, 24] from Operation: 22+2=24 Current State: 47:[23, 24], Operations: ['38-15=23', '22+2=24'] Exploring Operation: 23+24=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 91, 49, 21, 67 ]
56
[ "91-67=24", "49*24=1176", "1176/21=56" ]
Current State: 56:[91, 49, 21, 67], Operations: [] Exploring Operation: 91-67=24, Resulting Numbers: [49, 21, 24] Generated Node #2: [49, 21, 24] from Operation: 91-67=24 Current State: 56:[49, 21, 24], Operations: ['91-67=24'] Exploring Operation: 49*24=1176, Resulting Numbers: [21, 1176] Generated Node #3: [21, 1176] from Operation: 49*24=1176 Current State: 56:[21, 1176], Operations: ['91-67=24', '49*24=1176'] Exploring Operation: 1176/21=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 99, 39, 51, 68 ]
47
[ "39*68=2652", "2652/51=52", "99-52=47" ]
Current State: 47:[99, 39, 51, 68], Operations: [] Exploring Operation: 39*68=2652, Resulting Numbers: [99, 51, 2652] Generated Node #2: [99, 51, 2652] from Operation: 39*68=2652 Current State: 47:[99, 51, 2652], Operations: ['39*68=2652'] Exploring Operation: 2652/51=52, Resulting Numbers: [99, 52] Generated Node #3: [99, 52] from Operation: 2652/51=52 Current State: 47:[99, 52], Operations: ['39*68=2652', '2652/51=52'] Exploring Operation: 99-52=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 49, 66, 46, 40 ]
78
[ "49-46=3", "66-40=26", "3*26=78" ]
Current State: 78:[49, 66, 46, 40], Operations: [] Exploring Operation: 49-46=3, Resulting Numbers: [66, 40, 3] Generated Node #2: [66, 40, 3] from Operation: 49-46=3 Current State: 78:[66, 40, 3], Operations: ['49-46=3'] Exploring Operation: 66-40=26, Resulting Numbers: [3, 26] Generated Node #3: [3, 26] from Operation: 66-40=26 Current State: 78:[3, 26], Operations: ['49-46=3', '66-40=26'] Exploring Operation: 3*26=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 56, 95, 10, 20 ]
69
[ "95-56=39", "10+20=30", "39+30=69" ]
Current State: 69:[56, 95, 10, 20], Operations: [] Exploring Operation: 95-56=39, Resulting Numbers: [10, 20, 39] Generated Node #2: [10, 20, 39] from Operation: 95-56=39 Current State: 69:[10, 20, 39], Operations: ['95-56=39'] Exploring Operation: 10+20=30, Resulting Numbers: [39, 30] Generated Node #3: [39, 30] from Operation: 10+20=30 Current State: 69:[39, 30], Operations: ['95-56=39', '10+20=30'] Exploring Operation: 39+30=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 94, 98, 20, 84 ]
68
[ "98-94=4", "84-20=64", "4+64=68" ]
Current State: 68:[94, 98, 20, 84], Operations: [] Exploring Operation: 98-94=4, Resulting Numbers: [20, 84, 4] Generated Node #2: [20, 84, 4] from Operation: 98-94=4 Current State: 68:[20, 84, 4], Operations: ['98-94=4'] Exploring Operation: 84-20=64, Resulting Numbers: [4, 64] Generated Node #3: [4, 64] from Operation: 84-20=64 Current State: 68:[4, 64], Operations: ['98-94=4', '84-20=64'] Exploring Operation: 4+64=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 25, 41, 86, 34 ]
68
[ "41-25=16", "86-34=52", "16+52=68" ]
Current State: 68:[25, 41, 86, 34], Operations: [] Exploring Operation: 41-25=16, Resulting Numbers: [86, 34, 16] Generated Node #2: [86, 34, 16] from Operation: 41-25=16 Current State: 68:[86, 34, 16], Operations: ['41-25=16'] Exploring Operation: 86-34=52, Resulting Numbers: [16, 52] Generated Node #3: [16, 52] from Operation: 86-34=52 Current State: 68:[16, 52], Operations: ['41-25=16', '86-34=52'] Exploring Operation: 16+52=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 5, 2, 74, 71 ]
78
[ "5+71=76", "2*76=152", "152-74=78" ]
Current State: 78:[5, 2, 74, 71], Operations: [] Exploring Operation: 5+71=76, Resulting Numbers: [2, 74, 76] Generated Node #2: [2, 74, 76] from Operation: 5+71=76 Current State: 78:[2, 74, 76], Operations: ['5+71=76'] Exploring Operation: 2*76=152, Resulting Numbers: [74, 152] Generated Node #3: [74, 152] from Operation: 2*76=152 Current State: 78:[74, 152], Operations: ['5+71=76', '2*76=152'] Exploring Operation: 152-74=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 42, 27, 71, 83 ]
57
[ "42+27=69", "83-71=12", "69-12=57" ]
Current State: 57:[42, 27, 71, 83], Operations: [] Exploring Operation: 42+27=69, Resulting Numbers: [71, 83, 69] Generated Node #2: [71, 83, 69] from Operation: 42+27=69 Current State: 57:[71, 83, 69], Operations: ['42+27=69'] Exploring Operation: 83-71=12, Resulting Numbers: [69, 12] Generated Node #3: [69, 12] from Operation: 83-71=12 Current State: 57:[69, 12], Operations: ['42+27=69', '83-71=12'] Exploring Operation: 69-12=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 12, 37, 17, 53 ]
61
[ "37-12=25", "53-17=36", "25+36=61" ]
Current State: 61:[12, 37, 17, 53], Operations: [] Exploring Operation: 37-12=25, Resulting Numbers: [17, 53, 25] Generated Node #2: [17, 53, 25] from Operation: 37-12=25 Current State: 61:[17, 53, 25], Operations: ['37-12=25'] Exploring Operation: 53-17=36, Resulting Numbers: [25, 36] Generated Node #3: [25, 36] from Operation: 53-17=36 Current State: 61:[25, 36], Operations: ['37-12=25', '53-17=36'] Exploring Operation: 25+36=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 20, 77, 4, 78 ]
16
[ "20-4=16", "78-77=1", "16*1=16" ]
Current State: 16:[20, 77, 4, 78], Operations: [] Exploring Operation: 20-4=16, Resulting Numbers: [77, 78, 16] Generated Node #2: [77, 78, 16] from Operation: 20-4=16 Current State: 16:[77, 78, 16], Operations: ['20-4=16'] Exploring Operation: 78-77=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 78-77=1 Current State: 16:[16, 1], Operations: ['20-4=16', '78-77=1'] Exploring Operation: 16*1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 27, 31, 6, 39 ]
54
[ "31+6=37", "39-37=2", "27*2=54" ]
Current State: 54:[27, 31, 6, 39], Operations: [] Exploring Operation: 31+6=37, Resulting Numbers: [27, 39, 37] Generated Node #2: [27, 39, 37] from Operation: 31+6=37 Current State: 54:[27, 39, 37], Operations: ['31+6=37'] Exploring Operation: 39-37=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 39-37=2 Current State: 54:[27, 2], Operations: ['31+6=37', '39-37=2'] Exploring Operation: 27*2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 76, 28, 1, 10 ]
94
[ "76+28=104", "1*10=10", "104-10=94" ]
Current State: 94:[76, 28, 1, 10], Operations: [] Exploring Operation: 76+28=104, Resulting Numbers: [1, 10, 104] Generated Node #2: [1, 10, 104] from Operation: 76+28=104 Current State: 94:[1, 10, 104], Operations: ['76+28=104'] Exploring Operation: 1*10=10, Resulting Numbers: [104, 10] Generated Node #3: [104, 10] from Operation: 1*10=10 Current State: 94:[104, 10], Operations: ['76+28=104', '1*10=10'] Exploring Operation: 104-10=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 1, 91, 88, 42 ]
15
[ "91-88=3", "42/3=14", "1+14=15" ]
Current State: 15:[1, 91, 88, 42], Operations: [] Exploring Operation: 91-88=3, Resulting Numbers: [1, 42, 3] Generated Node #2: [1, 42, 3] from Operation: 91-88=3 Current State: 15:[1, 42, 3], Operations: ['91-88=3'] Exploring Operation: 42/3=14, Resulting Numbers: [1, 14] Generated Node #3: [1, 14] from Operation: 42/3=14 Current State: 15:[1, 14], Operations: ['91-88=3', '42/3=14'] Exploring Operation: 1+14=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 12, 17, 45, 74 ]
90
[ "12+17=29", "45+74=119", "119-29=90" ]
Current State: 90:[12, 17, 45, 74], Operations: [] Exploring Operation: 12+17=29, Resulting Numbers: [45, 74, 29] Generated Node #2: [45, 74, 29] from Operation: 12+17=29 Current State: 90:[45, 74, 29], Operations: ['12+17=29'] Exploring Operation: 45+74=119, Resulting Numbers: [29, 119] Generated Node #3: [29, 119] from Operation: 45+74=119 Current State: 90:[29, 119], Operations: ['12+17=29', '45+74=119'] Exploring Operation: 119-29=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 80, 9, 95, 68 ]
98
[ "80-9=71", "95-68=27", "71+27=98" ]
Current State: 98:[80, 9, 95, 68], Operations: [] Exploring Operation: 80-9=71, Resulting Numbers: [95, 68, 71] Generated Node #2: [95, 68, 71] from Operation: 80-9=71 Current State: 98:[95, 68, 71], Operations: ['80-9=71'] Exploring Operation: 95-68=27, Resulting Numbers: [71, 27] Generated Node #3: [71, 27] from Operation: 95-68=27 Current State: 98:[71, 27], Operations: ['80-9=71', '95-68=27'] Exploring Operation: 71+27=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 94, 44, 38, 88 ]
76
[ "94-44=50", "38+88=126", "126-50=76" ]
Current State: 76:[94, 44, 38, 88], Operations: [] Exploring Operation: 94-44=50, Resulting Numbers: [38, 88, 50] Generated Node #2: [38, 88, 50] from Operation: 94-44=50 Current State: 76:[38, 88, 50], Operations: ['94-44=50'] Exploring Operation: 38+88=126, Resulting Numbers: [50, 126] Generated Node #3: [50, 126] from Operation: 38+88=126 Current State: 76:[50, 126], Operations: ['94-44=50', '38+88=126'] Exploring Operation: 126-50=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 50, 5, 2, 51 ]
12
[ "50-5=45", "51-45=6", "2*6=12" ]
Current State: 12:[50, 5, 2, 51], Operations: [] Exploring Operation: 50-5=45, Resulting Numbers: [2, 51, 45] Generated Node #2: [2, 51, 45] from Operation: 50-5=45 Current State: 12:[2, 51, 45], Operations: ['50-5=45'] Exploring Operation: 51-45=6, Resulting Numbers: [2, 6] Generated Node #3: [2, 6] from Operation: 51-45=6 Current State: 12:[2, 6], Operations: ['50-5=45', '51-45=6'] Exploring Operation: 2*6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 27, 45, 48, 72 ]
40
[ "72-48=24", "45*24=1080", "1080/27=40" ]
Current State: 40:[27, 45, 48, 72], Operations: [] Exploring Operation: 72-48=24, Resulting Numbers: [27, 45, 24] Generated Node #2: [27, 45, 24] from Operation: 72-48=24 Current State: 40:[27, 45, 24], Operations: ['72-48=24'] Exploring Operation: 45*24=1080, Resulting Numbers: [27, 1080] Generated Node #3: [27, 1080] from Operation: 45*24=1080 Current State: 40:[27, 1080], Operations: ['72-48=24', '45*24=1080'] Exploring Operation: 1080/27=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 68, 48, 60, 4 ]
40
[ "68+4=72", "48*60=2880", "2880/72=40" ]
Current State: 40:[68, 48, 60, 4], Operations: [] Exploring Operation: 68+4=72, Resulting Numbers: [48, 60, 72] Generated Node #2: [48, 60, 72] from Operation: 68+4=72 Current State: 40:[48, 60, 72], Operations: ['68+4=72'] Exploring Operation: 48*60=2880, Resulting Numbers: [72, 2880] Generated Node #3: [72, 2880] from Operation: 48*60=2880 Current State: 40:[72, 2880], Operations: ['68+4=72', '48*60=2880'] Exploring Operation: 2880/72=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 36, 88, 48, 5 ]
81
[ "36+88=124", "48-5=43", "124-43=81" ]
Current State: 81:[36, 88, 48, 5], Operations: [] Exploring Operation: 36+88=124, Resulting Numbers: [48, 5, 124] Generated Node #2: [48, 5, 124] from Operation: 36+88=124 Current State: 81:[48, 5, 124], Operations: ['36+88=124'] Exploring Operation: 48-5=43, Resulting Numbers: [124, 43] Generated Node #3: [124, 43] from Operation: 48-5=43 Current State: 81:[124, 43], Operations: ['36+88=124', '48-5=43'] Exploring Operation: 124-43=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 79, 80, 79, 98 ]
19
[ "80-79=1", "98-79=19", "1*19=19" ]
Current State: 19:[79, 80, 79, 98], Operations: [] Exploring Operation: 80-79=1, Resulting Numbers: [98, 1] Generated Node #2: [98, 1] from Operation: 80-79=1 Current State: 19:[98, 1], Operations: ['80-79=1'] Exploring Operation: 98-79=19, Resulting Numbers: [1, 19] Generated Node #3: [1, 19] from Operation: 98-79=19 Current State: 19:[1, 19], Operations: ['80-79=1', '98-79=19'] Exploring Operation: 1*19=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 86, 21, 77, 99 ]
86
[ "21+77=98", "99-98=1", "86*1=86" ]
Current State: 86:[86, 21, 77, 99], Operations: [] Exploring Operation: 21+77=98, Resulting Numbers: [86, 99, 98] Generated Node #2: [86, 99, 98] from Operation: 21+77=98 Current State: 86:[86, 99, 98], Operations: ['21+77=98'] Exploring Operation: 99-98=1, Resulting Numbers: [86, 1] Generated Node #3: [86, 1] from Operation: 99-98=1 Current State: 86:[86, 1], Operations: ['21+77=98', '99-98=1'] Exploring Operation: 86*1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 42, 94, 77, 12 ]
37
[ "94-42=52", "77+12=89", "89-52=37" ]
Current State: 37:[42, 94, 77, 12], Operations: [] Exploring Operation: 94-42=52, Resulting Numbers: [77, 12, 52] Generated Node #2: [77, 12, 52] from Operation: 94-42=52 Current State: 37:[77, 12, 52], Operations: ['94-42=52'] Exploring Operation: 77+12=89, Resulting Numbers: [52, 89] Generated Node #3: [52, 89] from Operation: 77+12=89 Current State: 37:[52, 89], Operations: ['94-42=52', '77+12=89'] Exploring Operation: 89-52=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 86, 39, 70, 54 ]
41
[ "86+54=140", "140/70=2", "39+2=41" ]
Current State: 41:[86, 39, 70, 54], Operations: [] Exploring Operation: 86+54=140, Resulting Numbers: [39, 70, 140] Generated Node #2: [39, 70, 140] from Operation: 86+54=140 Current State: 41:[39, 70, 140], Operations: ['86+54=140'] Exploring Operation: 140/70=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 140/70=2 Current State: 41:[39, 2], Operations: ['86+54=140', '140/70=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 74, 50, 79, 99 ]
44
[ "74-50=24", "99-79=20", "24+20=44" ]
Current State: 44:[74, 50, 79, 99], Operations: [] Exploring Operation: 74-50=24, Resulting Numbers: [79, 99, 24] Generated Node #2: [79, 99, 24] from Operation: 74-50=24 Current State: 44:[79, 99, 24], Operations: ['74-50=24'] Exploring Operation: 99-79=20, Resulting Numbers: [24, 20] Generated Node #3: [24, 20] from Operation: 99-79=20 Current State: 44:[24, 20], Operations: ['74-50=24', '99-79=20'] Exploring Operation: 24+20=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 73, 70, 67, 33 ]
78
[ "73-70=3", "33/3=11", "67+11=78" ]
Current State: 78:[73, 70, 67, 33], Operations: [] Exploring Operation: 73-70=3, Resulting Numbers: [67, 33, 3] Generated Node #2: [67, 33, 3] from Operation: 73-70=3 Current State: 78:[67, 33, 3], Operations: ['73-70=3'] Exploring Operation: 33/3=11, Resulting Numbers: [67, 11] Generated Node #3: [67, 11] from Operation: 33/3=11 Current State: 78:[67, 11], Operations: ['73-70=3', '33/3=11'] Exploring Operation: 67+11=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 20, 85, 74, 92 ]
87
[ "20+85=105", "92-74=18", "105-18=87" ]
Current State: 87:[20, 85, 74, 92], Operations: [] Exploring Operation: 20+85=105, Resulting Numbers: [74, 92, 105] Generated Node #2: [74, 92, 105] from Operation: 20+85=105 Current State: 87:[74, 92, 105], Operations: ['20+85=105'] Exploring Operation: 92-74=18, Resulting Numbers: [105, 18] Generated Node #3: [105, 18] from Operation: 92-74=18 Current State: 87:[105, 18], Operations: ['20+85=105', '92-74=18'] Exploring Operation: 105-18=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 27, 16, 42, 5 ]
80
[ "27+16=43", "42-5=37", "43+37=80" ]
Current State: 80:[27, 16, 42, 5], Operations: [] Exploring Operation: 27+16=43, Resulting Numbers: [42, 5, 43] Generated Node #2: [42, 5, 43] from Operation: 27+16=43 Current State: 80:[42, 5, 43], Operations: ['27+16=43'] Exploring Operation: 42-5=37, Resulting Numbers: [43, 37] Generated Node #3: [43, 37] from Operation: 42-5=37 Current State: 80:[43, 37], Operations: ['27+16=43', '42-5=37'] Exploring Operation: 43+37=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 74, 2, 3, 62 ]
46
[ "74+2=76", "62+76=138", "138/3=46" ]
Current State: 46:[74, 2, 3, 62], Operations: [] Exploring Operation: 74+2=76, Resulting Numbers: [3, 62, 76] Generated Node #2: [3, 62, 76] from Operation: 74+2=76 Current State: 46:[3, 62, 76], Operations: ['74+2=76'] Exploring Operation: 62+76=138, Resulting Numbers: [3, 138] Generated Node #3: [3, 138] from Operation: 62+76=138 Current State: 46:[3, 138], Operations: ['74+2=76', '62+76=138'] Exploring Operation: 138/3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 52, 45, 55, 81 ]
39
[ "52+45=97", "55+81=136", "136-97=39" ]
Current State: 39:[52, 45, 55, 81], Operations: [] Exploring Operation: 52+45=97, Resulting Numbers: [55, 81, 97] Generated Node #2: [55, 81, 97] from Operation: 52+45=97 Current State: 39:[55, 81, 97], Operations: ['52+45=97'] Exploring Operation: 55+81=136, Resulting Numbers: [97, 136] Generated Node #3: [97, 136] from Operation: 55+81=136 Current State: 39:[97, 136], Operations: ['52+45=97', '55+81=136'] Exploring Operation: 136-97=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 54, 57, 29, 59 ]
50
[ "54-29=25", "59-57=2", "25*2=50" ]
Current State: 50:[54, 57, 29, 59], Operations: [] Exploring Operation: 54-29=25, Resulting Numbers: [57, 59, 25] Generated Node #2: [57, 59, 25] from Operation: 54-29=25 Current State: 50:[57, 59, 25], Operations: ['54-29=25'] Exploring Operation: 59-57=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 59-57=2 Current State: 50:[25, 2], Operations: ['54-29=25', '59-57=2'] Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 11, 42, 95, 60 ]
77
[ "95-42=53", "60-53=7", "11*7=77" ]
Current State: 77:[11, 42, 95, 60], Operations: [] Exploring Operation: 95-42=53, Resulting Numbers: [11, 60, 53] Generated Node #2: [11, 60, 53] from Operation: 95-42=53 Current State: 77:[11, 60, 53], Operations: ['95-42=53'] Exploring Operation: 60-53=7, Resulting Numbers: [11, 7] Generated Node #3: [11, 7] from Operation: 60-53=7 Current State: 77:[11, 7], Operations: ['95-42=53', '60-53=7'] Exploring Operation: 11*7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 12, 82, 66, 3 ]
56
[ "12+66=78", "78/3=26", "82-26=56" ]
Current State: 56:[12, 82, 66, 3], Operations: [] Exploring Operation: 12+66=78, Resulting Numbers: [82, 3, 78] Generated Node #2: [82, 3, 78] from Operation: 12+66=78 Current State: 56:[82, 3, 78], Operations: ['12+66=78'] Exploring Operation: 78/3=26, Resulting Numbers: [82, 26] Generated Node #3: [82, 26] from Operation: 78/3=26 Current State: 56:[82, 26], Operations: ['12+66=78', '78/3=26'] Exploring Operation: 82-26=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 74, 99, 87, 42 ]
44
[ "74+99=173", "87+42=129", "173-129=44" ]
Current State: 44:[74, 99, 87, 42], Operations: [] Exploring Operation: 74+99=173, Resulting Numbers: [87, 42, 173] Generated Node #2: [87, 42, 173] from Operation: 74+99=173 Current State: 44:[87, 42, 173], Operations: ['74+99=173'] Exploring Operation: 87+42=129, Resulting Numbers: [173, 129] Generated Node #3: [173, 129] from Operation: 87+42=129 Current State: 44:[173, 129], Operations: ['74+99=173', '87+42=129'] Exploring Operation: 173-129=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 57, 2, 5, 85 ]
86
[ "5-2=3", "57*3=171", "171-85=86" ]
Current State: 86:[57, 2, 5, 85], Operations: [] Exploring Operation: 5-2=3, Resulting Numbers: [57, 85, 3] Generated Node #2: [57, 85, 3] from Operation: 5-2=3 Current State: 86:[57, 85, 3], Operations: ['5-2=3'] Exploring Operation: 57*3=171, Resulting Numbers: [85, 171] Generated Node #3: [85, 171] from Operation: 57*3=171 Current State: 86:[85, 171], Operations: ['5-2=3', '57*3=171'] Exploring Operation: 171-85=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 72, 37, 78, 11 ]
20
[ "72+37=109", "78+11=89", "109-89=20" ]
Current State: 20:[72, 37, 78, 11], Operations: [] Exploring Operation: 72+37=109, Resulting Numbers: [78, 11, 109] Generated Node #2: [78, 11, 109] from Operation: 72+37=109 Current State: 20:[78, 11, 109], Operations: ['72+37=109'] Exploring Operation: 78+11=89, Resulting Numbers: [109, 89] Generated Node #3: [109, 89] from Operation: 78+11=89 Current State: 20:[109, 89], Operations: ['72+37=109', '78+11=89'] Exploring Operation: 109-89=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 60, 3, 65, 45 ]
37
[ "60-3=57", "65-45=20", "57-20=37" ]
Current State: 37:[60, 3, 65, 45], Operations: [] Exploring Operation: 60-3=57, Resulting Numbers: [65, 45, 57] Generated Node #2: [65, 45, 57] from Operation: 60-3=57 Current State: 37:[65, 45, 57], Operations: ['60-3=57'] Exploring Operation: 65-45=20, Resulting Numbers: [57, 20] Generated Node #3: [57, 20] from Operation: 65-45=20 Current State: 37:[57, 20], Operations: ['60-3=57', '65-45=20'] Exploring Operation: 57-20=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 92, 40, 5, 21 ]
76
[ "40/5=8", "21*8=168", "168-92=76" ]
Current State: 76:[92, 40, 5, 21], Operations: [] Exploring Operation: 40/5=8, Resulting Numbers: [92, 21, 8] Generated Node #2: [92, 21, 8] from Operation: 40/5=8 Current State: 76:[92, 21, 8], Operations: ['40/5=8'] Exploring Operation: 21*8=168, Resulting Numbers: [92, 168] Generated Node #3: [92, 168] from Operation: 21*8=168 Current State: 76:[92, 168], Operations: ['40/5=8', '21*8=168'] Exploring Operation: 168-92=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 51, 46, 86, 94 ]
83
[ "51+46=97", "86+94=180", "180-97=83" ]
Current State: 83:[51, 46, 86, 94], Operations: [] Exploring Operation: 51+46=97, Resulting Numbers: [86, 94, 97] Generated Node #2: [86, 94, 97] from Operation: 51+46=97 Current State: 83:[86, 94, 97], Operations: ['51+46=97'] Exploring Operation: 86+94=180, Resulting Numbers: [97, 180] Generated Node #3: [97, 180] from Operation: 86+94=180 Current State: 83:[97, 180], Operations: ['51+46=97', '86+94=180'] Exploring Operation: 180-97=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 14, 37, 31, 44 ]
62
[ "14*31=434", "44-37=7", "434/7=62" ]
Current State: 62:[14, 37, 31, 44], Operations: [] Exploring Operation: 14*31=434, Resulting Numbers: [37, 44, 434] Generated Node #2: [37, 44, 434] from Operation: 14*31=434 Current State: 62:[37, 44, 434], Operations: ['14*31=434'] Exploring Operation: 44-37=7, Resulting Numbers: [434, 7] Generated Node #3: [434, 7] from Operation: 44-37=7 Current State: 62:[434, 7], Operations: ['14*31=434', '44-37=7'] Exploring Operation: 434/7=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 65, 51, 72, 38 ]
96
[ "65-51=14", "72+38=110", "110-14=96" ]
Current State: 96:[65, 51, 72, 38], Operations: [] Exploring Operation: 65-51=14, Resulting Numbers: [72, 38, 14] Generated Node #2: [72, 38, 14] from Operation: 65-51=14 Current State: 96:[72, 38, 14], Operations: ['65-51=14'] Exploring Operation: 72+38=110, Resulting Numbers: [14, 110] Generated Node #3: [14, 110] from Operation: 72+38=110 Current State: 96:[14, 110], Operations: ['65-51=14', '72+38=110'] Exploring Operation: 110-14=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 94, 13, 1, 50 ]
58
[ "94+13=107", "50-1=49", "107-49=58" ]
Current State: 58:[94, 13, 1, 50], Operations: [] Exploring Operation: 94+13=107, Resulting Numbers: [1, 50, 107] Generated Node #2: [1, 50, 107] from Operation: 94+13=107 Current State: 58:[1, 50, 107], Operations: ['94+13=107'] Exploring Operation: 50-1=49, Resulting Numbers: [107, 49] Generated Node #3: [107, 49] from Operation: 50-1=49 Current State: 58:[107, 49], Operations: ['94+13=107', '50-1=49'] Exploring Operation: 107-49=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 41, 15, 81, 30 ]
15
[ "41*30=1230", "15*81=1215", "1230-1215=15" ]
Current State: 15:[41, 15, 81, 30], Operations: [] Exploring Operation: 41*30=1230, Resulting Numbers: [15, 81, 1230] Generated Node #2: [15, 81, 1230] from Operation: 41*30=1230 Current State: 15:[15, 81, 1230], Operations: ['41*30=1230'] Exploring Operation: 15*81=1215, Resulting Numbers: [1230, 1215] Generated Node #3: [1230, 1215] from Operation: 15*81=1215 Current State: 15:[1230, 1215], Operations: ['41*30=1230', '15*81=1215'] Exploring Operation: 1230-1215=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 19, 54, 43, 7 ]
48
[ "54-19=35", "35/7=5", "43+5=48" ]
Current State: 48:[19, 54, 43, 7], Operations: [] Exploring Operation: 54-19=35, Resulting Numbers: [43, 7, 35] Generated Node #2: [43, 7, 35] from Operation: 54-19=35 Current State: 48:[43, 7, 35], Operations: ['54-19=35'] Exploring Operation: 35/7=5, Resulting Numbers: [43, 5] Generated Node #3: [43, 5] from Operation: 35/7=5 Current State: 48:[43, 5], Operations: ['54-19=35', '35/7=5'] Exploring Operation: 43+5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 82, 95, 73, 39 ]
65
[ "82+95=177", "73+39=112", "177-112=65" ]
Current State: 65:[82, 95, 73, 39], Operations: [] Exploring Operation: 82+95=177, Resulting Numbers: [73, 39, 177] Generated Node #2: [73, 39, 177] from Operation: 82+95=177 Current State: 65:[73, 39, 177], Operations: ['82+95=177'] Exploring Operation: 73+39=112, Resulting Numbers: [177, 112] Generated Node #3: [177, 112] from Operation: 73+39=112 Current State: 65:[177, 112], Operations: ['82+95=177', '73+39=112'] Exploring Operation: 177-112=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 82, 47, 42, 81 ]
88
[ "82-47=35", "42+81=123", "123-35=88" ]
Current State: 88:[82, 47, 42, 81], Operations: [] Exploring Operation: 82-47=35, Resulting Numbers: [42, 81, 35] Generated Node #2: [42, 81, 35] from Operation: 82-47=35 Current State: 88:[42, 81, 35], Operations: ['82-47=35'] Exploring Operation: 42+81=123, Resulting Numbers: [35, 123] Generated Node #3: [35, 123] from Operation: 42+81=123 Current State: 88:[35, 123], Operations: ['82-47=35', '42+81=123'] Exploring Operation: 123-35=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 20, 40, 64, 41 ]
85
[ "40-20=20", "64+41=105", "105-20=85" ]
Current State: 85:[20, 40, 64, 41], Operations: [] Exploring Operation: 40-20=20, Resulting Numbers: [64, 41, 20] Generated Node #2: [64, 41, 20] from Operation: 40-20=20 Current State: 85:[64, 41, 20], Operations: ['40-20=20'] Exploring Operation: 64+41=105, Resulting Numbers: [20, 105] Generated Node #3: [20, 105] from Operation: 64+41=105 Current State: 85:[20, 105], Operations: ['40-20=20', '64+41=105'] Exploring Operation: 105-20=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 2, 90, 19, 5 ]
43
[ "2+5=7", "19*7=133", "133-90=43" ]
Current State: 43:[2, 90, 19, 5], Operations: [] Exploring Operation: 2+5=7, Resulting Numbers: [90, 19, 7] Generated Node #2: [90, 19, 7] from Operation: 2+5=7 Current State: 43:[90, 19, 7], Operations: ['2+5=7'] Exploring Operation: 19*7=133, Resulting Numbers: [90, 133] Generated Node #3: [90, 133] from Operation: 19*7=133 Current State: 43:[90, 133], Operations: ['2+5=7', '19*7=133'] Exploring Operation: 133-90=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 6, 18, 79, 88 ]
59
[ "6*18=108", "79+88=167", "167-108=59" ]
Current State: 59:[6, 18, 79, 88], Operations: [] Exploring Operation: 6*18=108, Resulting Numbers: [79, 88, 108] Generated Node #2: [79, 88, 108] from Operation: 6*18=108 Current State: 59:[79, 88, 108], Operations: ['6*18=108'] Exploring Operation: 79+88=167, Resulting Numbers: [108, 167] Generated Node #3: [108, 167] from Operation: 79+88=167 Current State: 59:[108, 167], Operations: ['6*18=108', '79+88=167'] Exploring Operation: 167-108=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 2, 25, 49, 14 ]
12
[ "25-2=23", "49-14=35", "35-23=12" ]
Current State: 12:[2, 25, 49, 14], Operations: [] Exploring Operation: 25-2=23, Resulting Numbers: [49, 14, 23] Generated Node #2: [49, 14, 23] from Operation: 25-2=23 Current State: 12:[49, 14, 23], Operations: ['25-2=23'] Exploring Operation: 49-14=35, Resulting Numbers: [23, 35] Generated Node #3: [23, 35] from Operation: 49-14=35 Current State: 12:[23, 35], Operations: ['25-2=23', '49-14=35'] Exploring Operation: 35-23=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 86, 34, 8, 99 ]
29
[ "86+34=120", "99-8=91", "120-91=29" ]
Current State: 29:[86, 34, 8, 99], Operations: [] Exploring Operation: 86+34=120, Resulting Numbers: [8, 99, 120] Generated Node #2: [8, 99, 120] from Operation: 86+34=120 Current State: 29:[8, 99, 120], Operations: ['86+34=120'] Exploring Operation: 99-8=91, Resulting Numbers: [120, 91] Generated Node #3: [120, 91] from Operation: 99-8=91 Current State: 29:[120, 91], Operations: ['86+34=120', '99-8=91'] Exploring Operation: 120-91=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 54, 2, 91, 55 ]
72
[ "54*2=108", "91-55=36", "108-36=72" ]
Current State: 72:[54, 2, 91, 55], Operations: [] Exploring Operation: 54*2=108, Resulting Numbers: [91, 55, 108] Generated Node #2: [91, 55, 108] from Operation: 54*2=108 Current State: 72:[91, 55, 108], Operations: ['54*2=108'] Exploring Operation: 91-55=36, Resulting Numbers: [108, 36] Generated Node #3: [108, 36] from Operation: 91-55=36 Current State: 72:[108, 36], Operations: ['54*2=108', '91-55=36'] Exploring Operation: 108-36=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 52, 31, 9, 4 ]
96
[ "52+31=83", "9+4=13", "83+13=96" ]
Current State: 96:[52, 31, 9, 4], Operations: [] Exploring Operation: 52+31=83, Resulting Numbers: [9, 4, 83] Generated Node #2: [9, 4, 83] from Operation: 52+31=83 Current State: 96:[9, 4, 83], Operations: ['52+31=83'] Exploring Operation: 9+4=13, Resulting Numbers: [83, 13] Generated Node #3: [83, 13] from Operation: 9+4=13 Current State: 96:[83, 13], Operations: ['52+31=83', '9+4=13'] Exploring Operation: 83+13=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 41, 47, 61, 42 ]
13
[ "47-41=6", "61-42=19", "19-6=13" ]
Current State: 13:[41, 47, 61, 42], Operations: [] Exploring Operation: 47-41=6, Resulting Numbers: [61, 42, 6] Generated Node #2: [61, 42, 6] from Operation: 47-41=6 Current State: 13:[61, 42, 6], Operations: ['47-41=6'] Exploring Operation: 61-42=19, Resulting Numbers: [6, 19] Generated Node #3: [6, 19] from Operation: 61-42=19 Current State: 13:[6, 19], Operations: ['47-41=6', '61-42=19'] Exploring Operation: 19-6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 94, 62, 94, 98 ]
36
[ "94+62=156", "94+98=192", "192-156=36" ]
Current State: 36:[94, 62, 94, 98], Operations: [] Exploring Operation: 94+62=156, Resulting Numbers: [98, 156] Generated Node #2: [98, 156] from Operation: 94+62=156 Current State: 36:[98, 156], Operations: ['94+62=156'] Exploring Operation: 94+98=192, Resulting Numbers: [156, 192] Generated Node #3: [156, 192] from Operation: 94+98=192 Current State: 36:[156, 192], Operations: ['94+62=156', '94+98=192'] Exploring Operation: 192-156=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 83, 30, 73, 2 ]
40
[ "83-30=53", "73-53=20", "2*20=40" ]
Current State: 40:[83, 30, 73, 2], Operations: [] Exploring Operation: 83-30=53, Resulting Numbers: [73, 2, 53] Generated Node #2: [73, 2, 53] from Operation: 83-30=53 Current State: 40:[73, 2, 53], Operations: ['83-30=53'] Exploring Operation: 73-53=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 73-53=20 Current State: 40:[2, 20], Operations: ['83-30=53', '73-53=20'] Exploring Operation: 2*20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 55, 33, 70, 54 ]
72
[ "55+33=88", "70-54=16", "88-16=72" ]
Current State: 72:[55, 33, 70, 54], Operations: [] Exploring Operation: 55+33=88, Resulting Numbers: [70, 54, 88] Generated Node #2: [70, 54, 88] from Operation: 55+33=88 Current State: 72:[70, 54, 88], Operations: ['55+33=88'] Exploring Operation: 70-54=16, Resulting Numbers: [88, 16] Generated Node #3: [88, 16] from Operation: 70-54=16 Current State: 72:[88, 16], Operations: ['55+33=88', '70-54=16'] Exploring Operation: 88-16=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 18, 26, 2, 22 ]
36
[ "26-18=8", "2*22=44", "44-8=36" ]
Current State: 36:[18, 26, 2, 22], Operations: [] Exploring Operation: 26-18=8, Resulting Numbers: [2, 22, 8] Generated Node #2: [2, 22, 8] from Operation: 26-18=8 Current State: 36:[2, 22, 8], Operations: ['26-18=8'] Exploring Operation: 2*22=44, Resulting Numbers: [8, 44] Generated Node #3: [8, 44] from Operation: 2*22=44 Current State: 36:[8, 44], Operations: ['26-18=8', '2*22=44'] Exploring Operation: 44-8=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 4, 36, 86, 84 ]
20
[ "4+36=40", "86-84=2", "40/2=20" ]
Current State: 20:[4, 36, 86, 84], Operations: [] Exploring Operation: 4+36=40, Resulting Numbers: [86, 84, 40] Generated Node #2: [86, 84, 40] from Operation: 4+36=40 Current State: 20:[86, 84, 40], Operations: ['4+36=40'] Exploring Operation: 86-84=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 86-84=2 Current State: 20:[40, 2], Operations: ['4+36=40', '86-84=2'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 6, 50, 15, 50 ]
22
[ "6+15=21", "50/50=1", "21+1=22" ]
Current State: 22:[6, 50, 15, 50], Operations: [] Exploring Operation: 6+15=21, Resulting Numbers: [50, 50, 21] Generated Node #2: [50, 50, 21] from Operation: 6+15=21 Current State: 22:[50, 50, 21], Operations: ['6+15=21'] Exploring Operation: 50/50=1, Resulting Numbers: [21, 1] Generated Node #3: [21, 1] from Operation: 50/50=1 Current State: 22:[21, 1], Operations: ['6+15=21', '50/50=1'] Exploring Operation: 21+1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 98, 74, 93, 90 ]
92
[ "98-93=5", "90/5=18", "74+18=92" ]
Current State: 92:[98, 74, 93, 90], Operations: [] Exploring Operation: 98-93=5, Resulting Numbers: [74, 90, 5] Generated Node #2: [74, 90, 5] from Operation: 98-93=5 Current State: 92:[74, 90, 5], Operations: ['98-93=5'] Exploring Operation: 90/5=18, Resulting Numbers: [74, 18] Generated Node #3: [74, 18] from Operation: 90/5=18 Current State: 92:[74, 18], Operations: ['98-93=5', '90/5=18'] Exploring Operation: 74+18=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 87, 76, 87, 54 ]
76
[ "87-87=0", "54*0=0", "76+0=76" ]
Current State: 76:[87, 76, 87, 54], Operations: [] Exploring Operation: 87-87=0, Resulting Numbers: [76, 54, 0] Generated Node #2: [76, 54, 0] from Operation: 87-87=0 Current State: 76:[76, 54, 0], Operations: ['87-87=0'] Exploring Operation: 54*0=0, Resulting Numbers: [76, 0] Generated Node #3: [76, 0] from Operation: 54*0=0 Current State: 76:[76, 0], Operations: ['87-87=0', '54*0=0'] Exploring Operation: 76+0=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 8, 83, 52, 43 ]
82
[ "8+83=91", "52-43=9", "91-9=82" ]
Current State: 82:[8, 83, 52, 43], Operations: [] Exploring Operation: 8+83=91, Resulting Numbers: [52, 43, 91] Generated Node #2: [52, 43, 91] from Operation: 8+83=91 Current State: 82:[52, 43, 91], Operations: ['8+83=91'] Exploring Operation: 52-43=9, Resulting Numbers: [91, 9] Generated Node #3: [91, 9] from Operation: 52-43=9 Current State: 82:[91, 9], Operations: ['8+83=91', '52-43=9'] Exploring Operation: 91-9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 48, 2, 34, 60 ]
85
[ "48/2=24", "34*60=2040", "2040/24=85" ]
Current State: 85:[48, 2, 34, 60], Operations: [] Exploring Operation: 48/2=24, Resulting Numbers: [34, 60, 24] Generated Node #2: [34, 60, 24] from Operation: 48/2=24 Current State: 85:[34, 60, 24], Operations: ['48/2=24'] Exploring Operation: 34*60=2040, Resulting Numbers: [24, 2040] Generated Node #3: [24, 2040] from Operation: 34*60=2040 Current State: 85:[24, 2040], Operations: ['48/2=24', '34*60=2040'] Exploring Operation: 2040/24=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 37, 79, 69, 84 ]
27
[ "79-37=42", "84-69=15", "42-15=27" ]
Current State: 27:[37, 79, 69, 84], Operations: [] Exploring Operation: 79-37=42, Resulting Numbers: [69, 84, 42] Generated Node #2: [69, 84, 42] from Operation: 79-37=42 Current State: 27:[69, 84, 42], Operations: ['79-37=42'] Exploring Operation: 84-69=15, Resulting Numbers: [42, 15] Generated Node #3: [42, 15] from Operation: 84-69=15 Current State: 27:[42, 15], Operations: ['79-37=42', '84-69=15'] Exploring Operation: 42-15=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 3, 5, 65, 37 ]
72
[ "65/5=13", "37-13=24", "3*24=72" ]
Current State: 72:[3, 5, 65, 37], Operations: [] Exploring Operation: 65/5=13, Resulting Numbers: [3, 37, 13] Generated Node #2: [3, 37, 13] from Operation: 65/5=13 Current State: 72:[3, 37, 13], Operations: ['65/5=13'] Exploring Operation: 37-13=24, Resulting Numbers: [3, 24] Generated Node #3: [3, 24] from Operation: 37-13=24 Current State: 72:[3, 24], Operations: ['65/5=13', '37-13=24'] Exploring Operation: 3*24=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 22, 68, 25, 94 ]
73
[ "68-22=46", "25+94=119", "119-46=73" ]
Current State: 73:[22, 68, 25, 94], Operations: [] Exploring Operation: 68-22=46, Resulting Numbers: [25, 94, 46] Generated Node #2: [25, 94, 46] from Operation: 68-22=46 Current State: 73:[25, 94, 46], Operations: ['68-22=46'] Exploring Operation: 25+94=119, Resulting Numbers: [46, 119] Generated Node #3: [46, 119] from Operation: 25+94=119 Current State: 73:[46, 119], Operations: ['68-22=46', '25+94=119'] Exploring Operation: 119-46=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 11, 4, 32, 78 ]
81
[ "11+78=89", "32/4=8", "89-8=81" ]
Current State: 81:[11, 4, 32, 78], Operations: [] Exploring Operation: 11+78=89, Resulting Numbers: [4, 32, 89] Generated Node #2: [4, 32, 89] from Operation: 11+78=89 Current State: 81:[4, 32, 89], Operations: ['11+78=89'] Exploring Operation: 32/4=8, Resulting Numbers: [89, 8] Generated Node #3: [89, 8] from Operation: 32/4=8 Current State: 81:[89, 8], Operations: ['11+78=89', '32/4=8'] Exploring Operation: 89-8=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 65, 39, 30, 15 ]
25
[ "30-15=15", "65*15=975", "975/39=25" ]
Current State: 25:[65, 39, 30, 15], Operations: [] Exploring Operation: 30-15=15, Resulting Numbers: [65, 39, 15] Generated Node #2: [65, 39, 15] from Operation: 30-15=15 Current State: 25:[65, 39, 15], Operations: ['30-15=15'] Exploring Operation: 65*15=975, Resulting Numbers: [39, 975] Generated Node #3: [39, 975] from Operation: 65*15=975 Current State: 25:[39, 975], Operations: ['30-15=15', '65*15=975'] Exploring Operation: 975/39=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 92, 40, 86, 33 ]
66
[ "92*33=3036", "86-40=46", "3036/46=66" ]
Current State: 66:[92, 40, 86, 33], Operations: [] Exploring Operation: 92*33=3036, Resulting Numbers: [40, 86, 3036] Generated Node #2: [40, 86, 3036] from Operation: 92*33=3036 Current State: 66:[40, 86, 3036], Operations: ['92*33=3036'] Exploring Operation: 86-40=46, Resulting Numbers: [3036, 46] Generated Node #3: [3036, 46] from Operation: 86-40=46 Current State: 66:[3036, 46], Operations: ['92*33=3036', '86-40=46'] Exploring Operation: 3036/46=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 62, 79, 97, 28 ]
86
[ "79-62=17", "97-28=69", "17+69=86" ]
Current State: 86:[62, 79, 97, 28], Operations: [] Exploring Operation: 79-62=17, Resulting Numbers: [97, 28, 17] Generated Node #2: [97, 28, 17] from Operation: 79-62=17 Current State: 86:[97, 28, 17], Operations: ['79-62=17'] Exploring Operation: 97-28=69, Resulting Numbers: [17, 69] Generated Node #3: [17, 69] from Operation: 97-28=69 Current State: 86:[17, 69], Operations: ['79-62=17', '97-28=69'] Exploring Operation: 17+69=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 8, 2, 25, 4 ]
73
[ "2+4=6", "8*6=48", "25+48=73" ]
Current State: 73:[8, 2, 25, 4], Operations: [] Exploring Operation: 2+4=6, Resulting Numbers: [8, 25, 6] Generated Node #2: [8, 25, 6] from Operation: 2+4=6 Current State: 73:[8, 25, 6], Operations: ['2+4=6'] Exploring Operation: 8*6=48, Resulting Numbers: [25, 48] Generated Node #3: [25, 48] from Operation: 8*6=48 Current State: 73:[25, 48], Operations: ['2+4=6', '8*6=48'] Exploring Operation: 25+48=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 11, 80, 89, 58 ]
100
[ "80-11=69", "89-58=31", "69+31=100" ]
Current State: 100:[11, 80, 89, 58], Operations: [] Exploring Operation: 80-11=69, Resulting Numbers: [89, 58, 69] Generated Node #2: [89, 58, 69] from Operation: 80-11=69 Current State: 100:[89, 58, 69], Operations: ['80-11=69'] Exploring Operation: 89-58=31, Resulting Numbers: [69, 31] Generated Node #3: [69, 31] from Operation: 89-58=31 Current State: 100:[69, 31], Operations: ['80-11=69', '89-58=31'] Exploring Operation: 69+31=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 33, 2, 1, 16 ]
36
[ "33+1=34", "34-16=18", "2*18=36" ]
Current State: 36:[33, 2, 1, 16], Operations: [] Exploring Operation: 33+1=34, Resulting Numbers: [2, 16, 34] Generated Node #2: [2, 16, 34] from Operation: 33+1=34 Current State: 36:[2, 16, 34], Operations: ['33+1=34'] Exploring Operation: 34-16=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 34-16=18 Current State: 36:[2, 18], Operations: ['33+1=34', '34-16=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 61, 74, 64, 25 ]
76
[ "74-61=13", "64+25=89", "89-13=76" ]
Current State: 76:[61, 74, 64, 25], Operations: [] Exploring Operation: 74-61=13, Resulting Numbers: [64, 25, 13] Generated Node #2: [64, 25, 13] from Operation: 74-61=13 Current State: 76:[64, 25, 13], Operations: ['74-61=13'] Exploring Operation: 64+25=89, Resulting Numbers: [13, 89] Generated Node #3: [13, 89] from Operation: 64+25=89 Current State: 76:[13, 89], Operations: ['74-61=13', '64+25=89'] Exploring Operation: 89-13=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 89, 6, 1, 99 ]
84
[ "89+1=90", "90/6=15", "99-15=84" ]
Current State: 84:[89, 6, 1, 99], Operations: [] Exploring Operation: 89+1=90, Resulting Numbers: [6, 99, 90] Generated Node #2: [6, 99, 90] from Operation: 89+1=90 Current State: 84:[6, 99, 90], Operations: ['89+1=90'] Exploring Operation: 90/6=15, Resulting Numbers: [99, 15] Generated Node #3: [99, 15] from Operation: 90/6=15 Current State: 84:[99, 15], Operations: ['89+1=90', '90/6=15'] Exploring Operation: 99-15=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 97, 8, 61, 90 ]
20
[ "97-61=36", "8*90=720", "720/36=20" ]
Current State: 20:[97, 8, 61, 90], Operations: [] Exploring Operation: 97-61=36, Resulting Numbers: [8, 90, 36] Generated Node #2: [8, 90, 36] from Operation: 97-61=36 Current State: 20:[8, 90, 36], Operations: ['97-61=36'] Exploring Operation: 8*90=720, Resulting Numbers: [36, 720] Generated Node #3: [36, 720] from Operation: 8*90=720 Current State: 20:[36, 720], Operations: ['97-61=36', '8*90=720'] Exploring Operation: 720/36=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 86, 92, 64, 40 ]
62
[ "86-40=46", "92/46=2", "64-2=62" ]
Current State: 62:[86, 92, 64, 40], Operations: [] Exploring Operation: 86-40=46, Resulting Numbers: [92, 64, 46] Generated Node #2: [92, 64, 46] from Operation: 86-40=46 Current State: 62:[92, 64, 46], Operations: ['86-40=46'] Exploring Operation: 92/46=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 92/46=2 Current State: 62:[64, 2], Operations: ['86-40=46', '92/46=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 17, 25, 35, 63 ]
20
[ "25-17=8", "63-35=28", "28-8=20" ]
Current State: 20:[17, 25, 35, 63], Operations: [] Exploring Operation: 25-17=8, Resulting Numbers: [35, 63, 8] Generated Node #2: [35, 63, 8] from Operation: 25-17=8 Current State: 20:[35, 63, 8], Operations: ['25-17=8'] Exploring Operation: 63-35=28, Resulting Numbers: [8, 28] Generated Node #3: [8, 28] from Operation: 63-35=28 Current State: 20:[8, 28], Operations: ['25-17=8', '63-35=28'] Exploring Operation: 28-8=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 33, 8, 50, 67 ]
10
[ "33+67=100", "100/50=2", "8+2=10" ]
Current State: 10:[33, 8, 50, 67], Operations: [] Exploring Operation: 33+67=100, Resulting Numbers: [8, 50, 100] Generated Node #2: [8, 50, 100] from Operation: 33+67=100 Current State: 10:[8, 50, 100], Operations: ['33+67=100'] Exploring Operation: 100/50=2, Resulting Numbers: [8, 2] Generated Node #3: [8, 2] from Operation: 100/50=2 Current State: 10:[8, 2], Operations: ['33+67=100', '100/50=2'] Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 29, 60, 24, 84 ]
72
[ "29-24=5", "60/5=12", "84-12=72" ]
Current State: 72:[29, 60, 24, 84], Operations: [] Exploring Operation: 29-24=5, Resulting Numbers: [60, 84, 5] Generated Node #2: [60, 84, 5] from Operation: 29-24=5 Current State: 72:[60, 84, 5], Operations: ['29-24=5'] Exploring Operation: 60/5=12, Resulting Numbers: [84, 12] Generated Node #3: [84, 12] from Operation: 60/5=12 Current State: 72:[84, 12], Operations: ['29-24=5', '60/5=12'] Exploring Operation: 84-12=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 12, 5, 9, 73 ]
47
[ "12+5=17", "73-9=64", "64-17=47" ]
Current State: 47:[12, 5, 9, 73], Operations: [] Exploring Operation: 12+5=17, Resulting Numbers: [9, 73, 17] Generated Node #2: [9, 73, 17] from Operation: 12+5=17 Current State: 47:[9, 73, 17], Operations: ['12+5=17'] Exploring Operation: 73-9=64, Resulting Numbers: [17, 64] Generated Node #3: [17, 64] from Operation: 73-9=64 Current State: 47:[17, 64], Operations: ['12+5=17', '73-9=64'] Exploring Operation: 64-17=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 32, 45, 90, 11 ]
66
[ "45-32=13", "90-11=79", "79-13=66" ]
Current State: 66:[32, 45, 90, 11], Operations: [] Exploring Operation: 45-32=13, Resulting Numbers: [90, 11, 13] Generated Node #2: [90, 11, 13] from Operation: 45-32=13 Current State: 66:[90, 11, 13], Operations: ['45-32=13'] Exploring Operation: 90-11=79, Resulting Numbers: [13, 79] Generated Node #3: [13, 79] from Operation: 90-11=79 Current State: 66:[13, 79], Operations: ['45-32=13', '90-11=79'] Exploring Operation: 79-13=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 13, 97, 87, 5 ]
77
[ "13+87=100", "100/5=20", "97-20=77" ]
Current State: 77:[13, 97, 87, 5], Operations: [] Exploring Operation: 13+87=100, Resulting Numbers: [97, 5, 100] Generated Node #2: [97, 5, 100] from Operation: 13+87=100 Current State: 77:[97, 5, 100], Operations: ['13+87=100'] Exploring Operation: 100/5=20, Resulting Numbers: [97, 20] Generated Node #3: [97, 20] from Operation: 100/5=20 Current State: 77:[97, 20], Operations: ['13+87=100', '100/5=20'] Exploring Operation: 97-20=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 18, 7, 79, 24 ]
54
[ "79-7=72", "18*72=1296", "1296/24=54" ]
Current State: 54:[18, 7, 79, 24], Operations: [] Exploring Operation: 79-7=72, Resulting Numbers: [18, 24, 72] Generated Node #2: [18, 24, 72] from Operation: 79-7=72 Current State: 54:[18, 24, 72], Operations: ['79-7=72'] Exploring Operation: 18*72=1296, Resulting Numbers: [24, 1296] Generated Node #3: [24, 1296] from Operation: 18*72=1296 Current State: 54:[24, 1296], Operations: ['79-7=72', '18*72=1296'] Exploring Operation: 1296/24=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 65, 63, 23, 30 ]
74
[ "30-23=7", "63/7=9", "65+9=74" ]
Current State: 74:[65, 63, 23, 30], Operations: [] Exploring Operation: 30-23=7, Resulting Numbers: [65, 63, 7] Generated Node #2: [65, 63, 7] from Operation: 30-23=7 Current State: 74:[65, 63, 7], Operations: ['30-23=7'] Exploring Operation: 63/7=9, Resulting Numbers: [65, 9] Generated Node #3: [65, 9] from Operation: 63/7=9 Current State: 74:[65, 9], Operations: ['30-23=7', '63/7=9'] Exploring Operation: 65+9=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 50, 7, 3, 2 ]
35
[ "50/2=25", "7+3=10", "25+10=35" ]
Current State: 35:[50, 7, 3, 2], Operations: [] Exploring Operation: 50/2=25, Resulting Numbers: [7, 3, 25] Generated Node #2: [7, 3, 25] from Operation: 50/2=25 Current State: 35:[7, 3, 25], Operations: ['50/2=25'] Exploring Operation: 7+3=10, Resulting Numbers: [25, 10] Generated Node #3: [25, 10] from Operation: 7+3=10 Current State: 35:[25, 10], Operations: ['50/2=25', '7+3=10'] Exploring Operation: 25+10=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 14, 20, 3, 5 ]
33
[ "20-14=6", "5+6=11", "3*11=33" ]
Current State: 33:[14, 20, 3, 5], Operations: [] Exploring Operation: 20-14=6, Resulting Numbers: [3, 5, 6] Generated Node #2: [3, 5, 6] from Operation: 20-14=6 Current State: 33:[3, 5, 6], Operations: ['20-14=6'] Exploring Operation: 5+6=11, Resulting Numbers: [3, 11] Generated Node #3: [3, 11] from Operation: 5+6=11 Current State: 33:[3, 11], Operations: ['20-14=6', '5+6=11'] Exploring Operation: 3*11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 24, 2, 17, 19 ]
33
[ "24-17=7", "2*7=14", "19+14=33" ]
Current State: 33:[24, 2, 17, 19], Operations: [] Exploring Operation: 24-17=7, Resulting Numbers: [2, 19, 7] Generated Node #2: [2, 19, 7] from Operation: 24-17=7 Current State: 33:[2, 19, 7], Operations: ['24-17=7'] Exploring Operation: 2*7=14, Resulting Numbers: [19, 14] Generated Node #3: [19, 14] from Operation: 2*7=14 Current State: 33:[19, 14], Operations: ['24-17=7', '2*7=14'] Exploring Operation: 19+14=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 43, 23, 6, 53 ]
79
[ "43-23=20", "6+53=59", "20+59=79" ]
Current State: 79:[43, 23, 6, 53], Operations: [] Exploring Operation: 43-23=20, Resulting Numbers: [6, 53, 20] Generated Node #2: [6, 53, 20] from Operation: 43-23=20 Current State: 79:[6, 53, 20], Operations: ['43-23=20'] Exploring Operation: 6+53=59, Resulting Numbers: [20, 59] Generated Node #3: [20, 59] from Operation: 6+53=59 Current State: 79:[20, 59], Operations: ['43-23=20', '6+53=59'] Exploring Operation: 20+59=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 42, 63, 21, 39 ]
34
[ "42+63=105", "105/21=5", "39-5=34" ]
Current State: 34:[42, 63, 21, 39], Operations: [] Exploring Operation: 42+63=105, Resulting Numbers: [21, 39, 105] Generated Node #2: [21, 39, 105] from Operation: 42+63=105 Current State: 34:[21, 39, 105], Operations: ['42+63=105'] Exploring Operation: 105/21=5, Resulting Numbers: [39, 5] Generated Node #3: [39, 5] from Operation: 105/21=5 Current State: 34:[39, 5], Operations: ['42+63=105', '105/21=5'] Exploring Operation: 39-5=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 19, 57, 24, 2 ]
67
[ "24-19=5", "2*5=10", "57+10=67" ]
Current State: 67:[19, 57, 24, 2], Operations: [] Exploring Operation: 24-19=5, Resulting Numbers: [57, 2, 5] Generated Node #2: [57, 2, 5] from Operation: 24-19=5 Current State: 67:[57, 2, 5], Operations: ['24-19=5'] Exploring Operation: 2*5=10, Resulting Numbers: [57, 10] Generated Node #3: [57, 10] from Operation: 2*5=10 Current State: 67:[57, 10], Operations: ['24-19=5', '2*5=10'] Exploring Operation: 57+10=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 22, 93, 90, 40 ]
88
[ "40-22=18", "90/18=5", "93-5=88" ]
Current State: 88:[22, 93, 90, 40], Operations: [] Exploring Operation: 40-22=18, Resulting Numbers: [93, 90, 18] Generated Node #2: [93, 90, 18] from Operation: 40-22=18 Current State: 88:[93, 90, 18], Operations: ['40-22=18'] Exploring Operation: 90/18=5, Resulting Numbers: [93, 5] Generated Node #3: [93, 5] from Operation: 90/18=5 Current State: 88:[93, 5], Operations: ['40-22=18', '90/18=5'] Exploring Operation: 93-5=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 20, 54, 69, 7 ]
42
[ "54-20=34", "69+7=76", "76-34=42" ]
Current State: 42:[20, 54, 69, 7], Operations: [] Exploring Operation: 54-20=34, Resulting Numbers: [69, 7, 34] Generated Node #2: [69, 7, 34] from Operation: 54-20=34 Current State: 42:[69, 7, 34], Operations: ['54-20=34'] Exploring Operation: 69+7=76, Resulting Numbers: [34, 76] Generated Node #3: [34, 76] from Operation: 69+7=76 Current State: 42:[34, 76], Operations: ['54-20=34', '69+7=76'] Exploring Operation: 76-34=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 48, 27, 98, 83 ]
60
[ "48+27=75", "98-83=15", "75-15=60" ]
Current State: 60:[48, 27, 98, 83], Operations: [] Exploring Operation: 48+27=75, Resulting Numbers: [98, 83, 75] Generated Node #2: [98, 83, 75] from Operation: 48+27=75 Current State: 60:[98, 83, 75], Operations: ['48+27=75'] Exploring Operation: 98-83=15, Resulting Numbers: [75, 15] Generated Node #3: [75, 15] from Operation: 98-83=15 Current State: 60:[75, 15], Operations: ['48+27=75', '98-83=15'] Exploring Operation: 75-15=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 14, 29, 64, 61 ]
40
[ "14+29=43", "64-61=3", "43-3=40" ]
Current State: 40:[14, 29, 64, 61], Operations: [] Exploring Operation: 14+29=43, Resulting Numbers: [64, 61, 43] Generated Node #2: [64, 61, 43] from Operation: 14+29=43 Current State: 40:[64, 61, 43], Operations: ['14+29=43'] Exploring Operation: 64-61=3, Resulting Numbers: [43, 3] Generated Node #3: [43, 3] from Operation: 64-61=3 Current State: 40:[43, 3], Operations: ['14+29=43', '64-61=3'] Exploring Operation: 43-3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4