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
[ 58, 16, 26, 78 ]
76
[ "58-26=32", "32/16=2", "78-2=76" ]
Current State: 76:[58, 16, 26, 78], Operations: [] Exploring Operation: 58-26=32, Resulting Numbers: [16, 78, 32] Generated Node #2: [16, 78, 32] from Operation: 58-26=32 Current State: 76:[16, 78, 32], Operations: ['58-26=32'] Exploring Operation: 32/16=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 32/16=2 Current State: 76:[78, 2], Operations: ['58-26=32', '32/16=2'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 24, 14, 23, 15 ]
42
[ "24*14=336", "23-15=8", "336/8=42" ]
Current State: 42:[24, 14, 23, 15], Operations: [] Exploring Operation: 24*14=336, Resulting Numbers: [23, 15, 336] Generated Node #2: [23, 15, 336] from Operation: 24*14=336 Current State: 42:[23, 15, 336], Operations: ['24*14=336'] Exploring Operation: 23-15=8, Resulting Numbers: [336, 8] Generated Node #3: [336, 8] from Operation: 23-15=8 Current State: 42:[336, 8], Operations: ['24*14=336', '23-15=8'] Exploring Operation: 336/8=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 71, 3, 98, 94 ]
17
[ "71-3=68", "98-94=4", "68/4=17" ]
Current State: 17:[71, 3, 98, 94], Operations: [] Exploring Operation: 71-3=68, Resulting Numbers: [98, 94, 68] Generated Node #2: [98, 94, 68] from Operation: 71-3=68 Current State: 17:[98, 94, 68], Operations: ['71-3=68'] Exploring Operation: 98-94=4, Resulting Numbers: [68, 4] Generated Node #3: [68, 4] from Operation: 98-94=4 Current State: 17:[68, 4], Operations: ['71-3=68', '98-94=4'] Exploring Operation: 68/4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 1, 32, 9, 36 ]
60
[ "1+32=33", "36-9=27", "33+27=60" ]
Current State: 60:[1, 32, 9, 36], Operations: [] Exploring Operation: 1+32=33, Resulting Numbers: [9, 36, 33] Generated Node #2: [9, 36, 33] from Operation: 1+32=33 Current State: 60:[9, 36, 33], Operations: ['1+32=33'] Exploring Operation: 36-9=27, Resulting Numbers: [33, 27] Generated Node #3: [33, 27] from Operation: 36-9=27 Current State: 60:[33, 27], Operations: ['1+32=33', '36-9=27'] Exploring Operation: 33+27=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 4, 82, 85, 84 ]
84
[ "4+82=86", "86-85=1", "84*1=84" ]
Current State: 84:[4, 82, 85, 84], Operations: [] Exploring Operation: 4+82=86, Resulting Numbers: [85, 84, 86] Generated Node #2: [85, 84, 86] from Operation: 4+82=86 Current State: 84:[85, 84, 86], Operations: ['4+82=86'] Exploring Operation: 86-85=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 86-85=1 Current State: 84:[84, 1], Operations: ['4+82=86', '86-85=1'] Exploring Operation: 84*1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 79, 25, 66, 61 ]
84
[ "66-61=5", "25/5=5", "79+5=84" ]
Current State: 84:[79, 25, 66, 61], Operations: [] Exploring Operation: 66-61=5, Resulting Numbers: [79, 25, 5] Generated Node #2: [79, 25, 5] from Operation: 66-61=5 Current State: 84:[79, 25, 5], Operations: ['66-61=5'] Exploring Operation: 25/5=5, Resulting Numbers: [79, 5] Generated Node #3: [79, 5] from Operation: 25/5=5 Current State: 84:[79, 5], Operations: ['66-61=5', '25/5=5'] Exploring Operation: 79+5=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 31, 30, 10, 72 ]
62
[ "31-30=1", "72-10=62", "1*62=62" ]
Current State: 62:[31, 30, 10, 72], Operations: [] Exploring Operation: 31-30=1, Resulting Numbers: [10, 72, 1] Generated Node #2: [10, 72, 1] from Operation: 31-30=1 Current State: 62:[10, 72, 1], Operations: ['31-30=1'] Exploring Operation: 72-10=62, Resulting Numbers: [1, 62] Generated Node #3: [1, 62] from Operation: 72-10=62 Current State: 62:[1, 62], Operations: ['31-30=1', '72-10=62'] Exploring Operation: 1*62=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 74, 7, 17, 9 ]
59
[ "74-7=67", "17-9=8", "67-8=59" ]
Current State: 59:[74, 7, 17, 9], Operations: [] Exploring Operation: 74-7=67, Resulting Numbers: [17, 9, 67] Generated Node #2: [17, 9, 67] from Operation: 74-7=67 Current State: 59:[17, 9, 67], Operations: ['74-7=67'] Exploring Operation: 17-9=8, Resulting Numbers: [67, 8] Generated Node #3: [67, 8] from Operation: 17-9=8 Current State: 59:[67, 8], Operations: ['74-7=67', '17-9=8'] Exploring Operation: 67-8=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 36, 58, 2, 74 ]
94
[ "58-36=22", "74-2=72", "22+72=94" ]
Current State: 94:[36, 58, 2, 74], Operations: [] Exploring Operation: 58-36=22, Resulting Numbers: [2, 74, 22] Generated Node #2: [2, 74, 22] from Operation: 58-36=22 Current State: 94:[2, 74, 22], Operations: ['58-36=22'] Exploring Operation: 74-2=72, Resulting Numbers: [22, 72] Generated Node #3: [22, 72] from Operation: 74-2=72 Current State: 94:[22, 72], Operations: ['58-36=22', '74-2=72'] Exploring Operation: 22+72=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 17, 99, 3, 38 ]
22
[ "17+38=55", "99/3=33", "55-33=22" ]
Current State: 22:[17, 99, 3, 38], Operations: [] Exploring Operation: 17+38=55, Resulting Numbers: [99, 3, 55] Generated Node #2: [99, 3, 55] from Operation: 17+38=55 Current State: 22:[99, 3, 55], Operations: ['17+38=55'] Exploring Operation: 99/3=33, Resulting Numbers: [55, 33] Generated Node #3: [55, 33] from Operation: 99/3=33 Current State: 22:[55, 33], Operations: ['17+38=55', '99/3=33'] Exploring Operation: 55-33=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 79, 2, 27, 82 ]
49
[ "79*2=158", "27+82=109", "158-109=49" ]
Current State: 49:[79, 2, 27, 82], Operations: [] Exploring Operation: 79*2=158, Resulting Numbers: [27, 82, 158] Generated Node #2: [27, 82, 158] from Operation: 79*2=158 Current State: 49:[27, 82, 158], Operations: ['79*2=158'] Exploring Operation: 27+82=109, Resulting Numbers: [158, 109] Generated Node #3: [158, 109] from Operation: 27+82=109 Current State: 49:[158, 109], Operations: ['79*2=158', '27+82=109'] Exploring Operation: 158-109=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 84, 99, 84, 59 ]
40
[ "84+99=183", "84+59=143", "183-143=40" ]
Current State: 40:[84, 99, 84, 59], Operations: [] Exploring Operation: 84+99=183, Resulting Numbers: [59, 183] Generated Node #2: [59, 183] from Operation: 84+99=183 Current State: 40:[59, 183], Operations: ['84+99=183'] Exploring Operation: 84+59=143, Resulting Numbers: [183, 143] Generated Node #3: [183, 143] from Operation: 84+59=143 Current State: 40:[183, 143], Operations: ['84+99=183', '84+59=143'] Exploring Operation: 183-143=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 39, 34, 3, 30 ]
40
[ "39+34=73", "3+30=33", "73-33=40" ]
Current State: 40:[39, 34, 3, 30], Operations: [] Exploring Operation: 39+34=73, Resulting Numbers: [3, 30, 73] Generated Node #2: [3, 30, 73] from Operation: 39+34=73 Current State: 40:[3, 30, 73], Operations: ['39+34=73'] Exploring Operation: 3+30=33, Resulting Numbers: [73, 33] Generated Node #3: [73, 33] from Operation: 3+30=33 Current State: 40:[73, 33], Operations: ['39+34=73', '3+30=33'] Exploring Operation: 73-33=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 10, 81, 49, 65 ]
12
[ "81+49=130", "130/65=2", "10+2=12" ]
Current State: 12:[10, 81, 49, 65], Operations: [] Exploring Operation: 81+49=130, Resulting Numbers: [10, 65, 130] Generated Node #2: [10, 65, 130] from Operation: 81+49=130 Current State: 12:[10, 65, 130], Operations: ['81+49=130'] Exploring Operation: 130/65=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 130/65=2 Current State: 12:[10, 2], Operations: ['81+49=130', '130/65=2'] Exploring Operation: 10+2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 68, 77, 75, 5 ]
46
[ "68+77=145", "145/5=29", "75-29=46" ]
Current State: 46:[68, 77, 75, 5], Operations: [] Exploring Operation: 68+77=145, Resulting Numbers: [75, 5, 145] Generated Node #2: [75, 5, 145] from Operation: 68+77=145 Current State: 46:[75, 5, 145], Operations: ['68+77=145'] Exploring Operation: 145/5=29, Resulting Numbers: [75, 29] Generated Node #3: [75, 29] from Operation: 145/5=29 Current State: 46:[75, 29], Operations: ['68+77=145', '145/5=29'] Exploring Operation: 75-29=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 46, 16, 23, 22 ]
61
[ "46+16=62", "23-22=1", "62-1=61" ]
Current State: 61:[46, 16, 23, 22], Operations: [] Exploring Operation: 46+16=62, Resulting Numbers: [23, 22, 62] Generated Node #2: [23, 22, 62] from Operation: 46+16=62 Current State: 61:[23, 22, 62], Operations: ['46+16=62'] Exploring Operation: 23-22=1, Resulting Numbers: [62, 1] Generated Node #3: [62, 1] from Operation: 23-22=1 Current State: 61:[62, 1], Operations: ['46+16=62', '23-22=1'] Exploring Operation: 62-1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 61, 37, 90, 45 ]
100
[ "61+37=98", "90/45=2", "98+2=100" ]
Current State: 100:[61, 37, 90, 45], Operations: [] Exploring Operation: 61+37=98, Resulting Numbers: [90, 45, 98] Generated Node #2: [90, 45, 98] from Operation: 61+37=98 Current State: 100:[90, 45, 98], Operations: ['61+37=98'] Exploring Operation: 90/45=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 90/45=2 Current State: 100:[98, 2], Operations: ['61+37=98', '90/45=2'] Exploring Operation: 98+2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 99, 79, 31, 5 ]
56
[ "99-79=20", "31+5=36", "20+36=56" ]
Current State: 56:[99, 79, 31, 5], Operations: [] Exploring Operation: 99-79=20, Resulting Numbers: [31, 5, 20] Generated Node #2: [31, 5, 20] from Operation: 99-79=20 Current State: 56:[31, 5, 20], Operations: ['99-79=20'] Exploring Operation: 31+5=36, Resulting Numbers: [20, 36] Generated Node #3: [20, 36] from Operation: 31+5=36 Current State: 56:[20, 36], Operations: ['99-79=20', '31+5=36'] Exploring Operation: 20+36=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 83, 95, 95, 56 ]
28
[ "83-56=27", "95/95=1", "27+1=28" ]
Current State: 28:[83, 95, 95, 56], Operations: [] Exploring Operation: 83-56=27, Resulting Numbers: [95, 95, 27] Generated Node #2: [95, 95, 27] from Operation: 83-56=27 Current State: 28:[95, 95, 27], Operations: ['83-56=27'] Exploring Operation: 95/95=1, Resulting Numbers: [27, 1] Generated Node #3: [27, 1] from Operation: 95/95=1 Current State: 28:[27, 1], Operations: ['83-56=27', '95/95=1'] Exploring Operation: 27+1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 93, 3, 91, 25 ]
35
[ "93/3=31", "91-25=66", "66-31=35" ]
Current State: 35:[93, 3, 91, 25], Operations: [] Exploring Operation: 93/3=31, Resulting Numbers: [91, 25, 31] Generated Node #2: [91, 25, 31] from Operation: 93/3=31 Current State: 35:[91, 25, 31], Operations: ['93/3=31'] Exploring Operation: 91-25=66, Resulting Numbers: [31, 66] Generated Node #3: [31, 66] from Operation: 91-25=66 Current State: 35:[31, 66], Operations: ['93/3=31', '91-25=66'] Exploring Operation: 66-31=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 61, 63, 62, 80 ]
19
[ "80-61=19", "63-62=1", "19*1=19" ]
Current State: 19:[61, 63, 62, 80], Operations: [] Exploring Operation: 80-61=19, Resulting Numbers: [63, 62, 19] Generated Node #2: [63, 62, 19] from Operation: 80-61=19 Current State: 19:[63, 62, 19], Operations: ['80-61=19'] Exploring Operation: 63-62=1, Resulting Numbers: [19, 1] Generated Node #3: [19, 1] from Operation: 63-62=1 Current State: 19:[19, 1], Operations: ['80-61=19', '63-62=1'] Exploring Operation: 19*1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 17, 8, 21, 96 ]
66
[ "17-8=9", "96-21=75", "75-9=66" ]
Current State: 66:[17, 8, 21, 96], Operations: [] Exploring Operation: 17-8=9, Resulting Numbers: [21, 96, 9] Generated Node #2: [21, 96, 9] from Operation: 17-8=9 Current State: 66:[21, 96, 9], Operations: ['17-8=9'] Exploring Operation: 96-21=75, Resulting Numbers: [9, 75] Generated Node #3: [9, 75] from Operation: 96-21=75 Current State: 66:[9, 75], Operations: ['17-8=9', '96-21=75'] Exploring Operation: 75-9=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 43, 24, 67, 87 ]
88
[ "43+24=67", "67/67=1", "87+1=88" ]
Current State: 88:[43, 24, 67, 87], Operations: [] Exploring Operation: 43+24=67, Resulting Numbers: [67, 87, 67] Generated Node #2: [67, 87, 67] from Operation: 43+24=67 Current State: 88:[67, 87, 67], Operations: ['43+24=67'] Exploring Operation: 67/67=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 67/67=1 Current State: 88:[87, 1], Operations: ['43+24=67', '67/67=1'] Exploring Operation: 87+1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 49, 70, 68, 58 ]
78
[ "70-68=2", "58/2=29", "49+29=78" ]
Current State: 78:[49, 70, 68, 58], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [49, 58, 2] Generated Node #2: [49, 58, 2] from Operation: 70-68=2 Current State: 78:[49, 58, 2], Operations: ['70-68=2'] Exploring Operation: 58/2=29, Resulting Numbers: [49, 29] Generated Node #3: [49, 29] from Operation: 58/2=29 Current State: 78:[49, 29], Operations: ['70-68=2', '58/2=29'] Exploring Operation: 49+29=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 22, 54, 33, 39 ]
26
[ "54-22=32", "39-33=6", "32-6=26" ]
Current State: 26:[22, 54, 33, 39], Operations: [] Exploring Operation: 54-22=32, Resulting Numbers: [33, 39, 32] Generated Node #2: [33, 39, 32] from Operation: 54-22=32 Current State: 26:[33, 39, 32], Operations: ['54-22=32'] Exploring Operation: 39-33=6, Resulting Numbers: [32, 6] Generated Node #3: [32, 6] from Operation: 39-33=6 Current State: 26:[32, 6], Operations: ['54-22=32', '39-33=6'] Exploring Operation: 32-6=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 21, 60, 75, 75 ]
80
[ "21+60=81", "75/75=1", "81-1=80" ]
Current State: 80:[21, 60, 75, 75], Operations: [] Exploring Operation: 21+60=81, Resulting Numbers: [75, 75, 81] Generated Node #2: [75, 75, 81] from Operation: 21+60=81 Current State: 80:[75, 75, 81], Operations: ['21+60=81'] Exploring Operation: 75/75=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 75/75=1 Current State: 80:[81, 1], Operations: ['21+60=81', '75/75=1'] Exploring Operation: 81-1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 91, 22, 81, 85 ]
89
[ "91+85=176", "176/22=8", "81+8=89" ]
Current State: 89:[91, 22, 81, 85], Operations: [] Exploring Operation: 91+85=176, Resulting Numbers: [22, 81, 176] Generated Node #2: [22, 81, 176] from Operation: 91+85=176 Current State: 89:[22, 81, 176], Operations: ['91+85=176'] Exploring Operation: 176/22=8, Resulting Numbers: [81, 8] Generated Node #3: [81, 8] from Operation: 176/22=8 Current State: 89:[81, 8], Operations: ['91+85=176', '176/22=8'] Exploring Operation: 81+8=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 47, 7, 44, 69 ]
48
[ "47-44=3", "7*3=21", "69-21=48" ]
Current State: 48:[47, 7, 44, 69], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [7, 69, 3] Generated Node #2: [7, 69, 3] from Operation: 47-44=3 Current State: 48:[7, 69, 3], Operations: ['47-44=3'] Exploring Operation: 7*3=21, Resulting Numbers: [69, 21] Generated Node #3: [69, 21] from Operation: 7*3=21 Current State: 48:[69, 21], Operations: ['47-44=3', '7*3=21'] Exploring Operation: 69-21=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 39, 92, 96, 6 ]
78
[ "96-92=4", "6-4=2", "39*2=78" ]
Current State: 78:[39, 92, 96, 6], Operations: [] Exploring Operation: 96-92=4, Resulting Numbers: [39, 6, 4] Generated Node #2: [39, 6, 4] from Operation: 96-92=4 Current State: 78:[39, 6, 4], Operations: ['96-92=4'] Exploring Operation: 6-4=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 6-4=2 Current State: 78:[39, 2], Operations: ['96-92=4', '6-4=2'] Exploring Operation: 39*2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 1, 51, 60, 64 ]
55
[ "1*51=51", "64-60=4", "51+4=55" ]
Current State: 55:[1, 51, 60, 64], Operations: [] Exploring Operation: 1*51=51, Resulting Numbers: [60, 64, 51] Generated Node #2: [60, 64, 51] from Operation: 1*51=51 Current State: 55:[60, 64, 51], Operations: ['1*51=51'] Exploring Operation: 64-60=4, Resulting Numbers: [51, 4] Generated Node #3: [51, 4] from Operation: 64-60=4 Current State: 55:[51, 4], Operations: ['1*51=51', '64-60=4'] Exploring Operation: 51+4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 1, 25, 14, 6 ]
66
[ "1*25=25", "25-14=11", "6*11=66" ]
Current State: 66:[1, 25, 14, 6], Operations: [] Exploring Operation: 1*25=25, Resulting Numbers: [14, 6, 25] Generated Node #2: [14, 6, 25] from Operation: 1*25=25 Current State: 66:[14, 6, 25], Operations: ['1*25=25'] Exploring Operation: 25-14=11, Resulting Numbers: [6, 11] Generated Node #3: [6, 11] from Operation: 25-14=11 Current State: 66:[6, 11], Operations: ['1*25=25', '25-14=11'] Exploring Operation: 6*11=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 83, 67, 27, 2 ]
39
[ "83-27=56", "56/2=28", "67-28=39" ]
Current State: 39:[83, 67, 27, 2], Operations: [] Exploring Operation: 83-27=56, Resulting Numbers: [67, 2, 56] Generated Node #2: [67, 2, 56] from Operation: 83-27=56 Current State: 39:[67, 2, 56], Operations: ['83-27=56'] Exploring Operation: 56/2=28, Resulting Numbers: [67, 28] Generated Node #3: [67, 28] from Operation: 56/2=28 Current State: 39:[67, 28], Operations: ['83-27=56', '56/2=28'] Exploring Operation: 67-28=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 91, 98, 12, 85 ]
66
[ "98-91=7", "85-12=73", "73-7=66" ]
Current State: 66:[91, 98, 12, 85], Operations: [] Exploring Operation: 98-91=7, Resulting Numbers: [12, 85, 7] Generated Node #2: [12, 85, 7] from Operation: 98-91=7 Current State: 66:[12, 85, 7], Operations: ['98-91=7'] Exploring Operation: 85-12=73, Resulting Numbers: [7, 73] Generated Node #3: [7, 73] from Operation: 85-12=73 Current State: 66:[7, 73], Operations: ['98-91=7', '85-12=73'] Exploring Operation: 73-7=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 48, 51, 98, 56 ]
33
[ "48*98=4704", "4704/56=84", "84-51=33" ]
Current State: 33:[48, 51, 98, 56], Operations: [] Exploring Operation: 48*98=4704, Resulting Numbers: [51, 56, 4704] Generated Node #2: [51, 56, 4704] from Operation: 48*98=4704 Current State: 33:[51, 56, 4704], Operations: ['48*98=4704'] Exploring Operation: 4704/56=84, Resulting Numbers: [51, 84] Generated Node #3: [51, 84] from Operation: 4704/56=84 Current State: 33:[51, 84], Operations: ['48*98=4704', '4704/56=84'] Exploring Operation: 84-51=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 18, 31, 36, 45 ]
58
[ "18+31=49", "45-36=9", "49+9=58" ]
Current State: 58:[18, 31, 36, 45], Operations: [] Exploring Operation: 18+31=49, Resulting Numbers: [36, 45, 49] Generated Node #2: [36, 45, 49] from Operation: 18+31=49 Current State: 58:[36, 45, 49], Operations: ['18+31=49'] Exploring Operation: 45-36=9, Resulting Numbers: [49, 9] Generated Node #3: [49, 9] from Operation: 45-36=9 Current State: 58:[49, 9], Operations: ['18+31=49', '45-36=9'] Exploring Operation: 49+9=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 98, 11, 17, 32 ]
60
[ "98+11=109", "17+32=49", "109-49=60" ]
Current State: 60:[98, 11, 17, 32], Operations: [] Exploring Operation: 98+11=109, Resulting Numbers: [17, 32, 109] Generated Node #2: [17, 32, 109] from Operation: 98+11=109 Current State: 60:[17, 32, 109], Operations: ['98+11=109'] Exploring Operation: 17+32=49, Resulting Numbers: [109, 49] Generated Node #3: [109, 49] from Operation: 17+32=49 Current State: 60:[109, 49], Operations: ['98+11=109', '17+32=49'] Exploring Operation: 109-49=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 4, 20, 97, 56 ]
91
[ "56/4=14", "97-20=77", "14+77=91" ]
Current State: 91:[4, 20, 97, 56], Operations: [] Exploring Operation: 56/4=14, Resulting Numbers: [20, 97, 14] Generated Node #2: [20, 97, 14] from Operation: 56/4=14 Current State: 91:[20, 97, 14], Operations: ['56/4=14'] Exploring Operation: 97-20=77, Resulting Numbers: [14, 77] Generated Node #3: [14, 77] from Operation: 97-20=77 Current State: 91:[14, 77], Operations: ['56/4=14', '97-20=77'] Exploring Operation: 14+77=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 61, 15, 9, 15 ]
52
[ "61+15=76", "9+15=24", "76-24=52" ]
Current State: 52:[61, 15, 9, 15], Operations: [] Exploring Operation: 61+15=76, Resulting Numbers: [9, 76] Generated Node #2: [9, 76] from Operation: 61+15=76 Current State: 52:[9, 76], Operations: ['61+15=76'] Exploring Operation: 9+15=24, Resulting Numbers: [76, 24] Generated Node #3: [76, 24] from Operation: 9+15=24 Current State: 52:[76, 24], Operations: ['61+15=76', '9+15=24'] Exploring Operation: 76-24=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 73, 70, 33, 25 ]
14
[ "73-70=3", "33/3=11", "25-11=14" ]
Current State: 14:[73, 70, 33, 25], Operations: [] Exploring Operation: 73-70=3, Resulting Numbers: [33, 25, 3] Generated Node #2: [33, 25, 3] from Operation: 73-70=3 Current State: 14:[33, 25, 3], Operations: ['73-70=3'] Exploring Operation: 33/3=11, Resulting Numbers: [25, 11] Generated Node #3: [25, 11] from Operation: 33/3=11 Current State: 14:[25, 11], Operations: ['73-70=3', '33/3=11'] Exploring Operation: 25-11=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 96, 55, 15, 87 ]
31
[ "96-55=41", "87-15=72", "72-41=31" ]
Current State: 31:[96, 55, 15, 87], Operations: [] Exploring Operation: 96-55=41, Resulting Numbers: [15, 87, 41] Generated Node #2: [15, 87, 41] from Operation: 96-55=41 Current State: 31:[15, 87, 41], Operations: ['96-55=41'] Exploring Operation: 87-15=72, Resulting Numbers: [41, 72] Generated Node #3: [41, 72] from Operation: 87-15=72 Current State: 31:[41, 72], Operations: ['96-55=41', '87-15=72'] Exploring Operation: 72-41=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 21, 34, 60, 49 ]
96
[ "34-21=13", "60+49=109", "109-13=96" ]
Current State: 96:[21, 34, 60, 49], Operations: [] Exploring Operation: 34-21=13, Resulting Numbers: [60, 49, 13] Generated Node #2: [60, 49, 13] from Operation: 34-21=13 Current State: 96:[60, 49, 13], Operations: ['34-21=13'] Exploring Operation: 60+49=109, Resulting Numbers: [13, 109] Generated Node #3: [13, 109] from Operation: 60+49=109 Current State: 96:[13, 109], Operations: ['34-21=13', '60+49=109'] Exploring Operation: 109-13=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 4, 41, 39, 43 ]
70
[ "39-4=35", "43-41=2", "35*2=70" ]
Current State: 70:[4, 41, 39, 43], Operations: [] Exploring Operation: 39-4=35, Resulting Numbers: [41, 43, 35] Generated Node #2: [41, 43, 35] from Operation: 39-4=35 Current State: 70:[41, 43, 35], Operations: ['39-4=35'] Exploring Operation: 43-41=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 43-41=2 Current State: 70:[35, 2], Operations: ['39-4=35', '43-41=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 73, 70, 12, 33 ]
21
[ "73-33=40", "70*12=840", "840/40=21" ]
Current State: 21:[73, 70, 12, 33], Operations: [] Exploring Operation: 73-33=40, Resulting Numbers: [70, 12, 40] Generated Node #2: [70, 12, 40] from Operation: 73-33=40 Current State: 21:[70, 12, 40], Operations: ['73-33=40'] Exploring Operation: 70*12=840, Resulting Numbers: [40, 840] Generated Node #3: [40, 840] from Operation: 70*12=840 Current State: 21:[40, 840], Operations: ['73-33=40', '70*12=840'] Exploring Operation: 840/40=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 14, 92, 3, 42 ]
93
[ "14*3=42", "42/42=1", "92+1=93" ]
Current State: 93:[14, 92, 3, 42], Operations: [] Exploring Operation: 14*3=42, Resulting Numbers: [92, 42, 42] Generated Node #2: [92, 42, 42] from Operation: 14*3=42 Current State: 93:[92, 42, 42], Operations: ['14*3=42'] Exploring Operation: 42/42=1, Resulting Numbers: [92, 1] Generated Node #3: [92, 1] from Operation: 42/42=1 Current State: 93:[92, 1], Operations: ['14*3=42', '42/42=1'] Exploring Operation: 92+1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 65, 80, 45, 24 ]
54
[ "80-65=15", "45+24=69", "69-15=54" ]
Current State: 54:[65, 80, 45, 24], Operations: [] Exploring Operation: 80-65=15, Resulting Numbers: [45, 24, 15] Generated Node #2: [45, 24, 15] from Operation: 80-65=15 Current State: 54:[45, 24, 15], Operations: ['80-65=15'] Exploring Operation: 45+24=69, Resulting Numbers: [15, 69] Generated Node #3: [15, 69] from Operation: 45+24=69 Current State: 54:[15, 69], Operations: ['80-65=15', '45+24=69'] Exploring Operation: 69-15=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 19, 10, 72, 6 ]
95
[ "19+10=29", "72-6=66", "29+66=95" ]
Current State: 95:[19, 10, 72, 6], Operations: [] Exploring Operation: 19+10=29, Resulting Numbers: [72, 6, 29] Generated Node #2: [72, 6, 29] from Operation: 19+10=29 Current State: 95:[72, 6, 29], Operations: ['19+10=29'] Exploring Operation: 72-6=66, Resulting Numbers: [29, 66] Generated Node #3: [29, 66] from Operation: 72-6=66 Current State: 95:[29, 66], Operations: ['19+10=29', '72-6=66'] Exploring Operation: 29+66=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 16, 46, 44, 34 ]
95
[ "46*34=1564", "1564-44=1520", "1520/16=95" ]
Current State: 95:[16, 46, 44, 34], Operations: [] Exploring Operation: 46*34=1564, Resulting Numbers: [16, 44, 1564] Generated Node #2: [16, 44, 1564] from Operation: 46*34=1564 Current State: 95:[16, 44, 1564], Operations: ['46*34=1564'] Exploring Operation: 1564-44=1520, Resulting Numbers: [16, 1520] Generated Node #3: [16, 1520] from Operation: 1564-44=1520 Current State: 95:[16, 1520], Operations: ['46*34=1564', '1564-44=1520'] Exploring Operation: 1520/16=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 37, 6, 59, 91 ]
68
[ "91-37=54", "54/6=9", "59+9=68" ]
Current State: 68:[37, 6, 59, 91], Operations: [] Exploring Operation: 91-37=54, Resulting Numbers: [6, 59, 54] Generated Node #2: [6, 59, 54] from Operation: 91-37=54 Current State: 68:[6, 59, 54], Operations: ['91-37=54'] Exploring Operation: 54/6=9, Resulting Numbers: [59, 9] Generated Node #3: [59, 9] from Operation: 54/6=9 Current State: 68:[59, 9], Operations: ['91-37=54', '54/6=9'] Exploring Operation: 59+9=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 30, 92, 43, 16 ]
89
[ "92-30=62", "43-16=27", "62+27=89" ]
Current State: 89:[30, 92, 43, 16], Operations: [] Exploring Operation: 92-30=62, Resulting Numbers: [43, 16, 62] Generated Node #2: [43, 16, 62] from Operation: 92-30=62 Current State: 89:[43, 16, 62], Operations: ['92-30=62'] Exploring Operation: 43-16=27, Resulting Numbers: [62, 27] Generated Node #3: [62, 27] from Operation: 43-16=27 Current State: 89:[62, 27], Operations: ['92-30=62', '43-16=27'] Exploring Operation: 62+27=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 16, 23, 75, 98 ]
16
[ "16+23=39", "98-75=23", "39-23=16" ]
Current State: 16:[16, 23, 75, 98], Operations: [] Exploring Operation: 16+23=39, Resulting Numbers: [75, 98, 39] Generated Node #2: [75, 98, 39] from Operation: 16+23=39 Current State: 16:[75, 98, 39], Operations: ['16+23=39'] Exploring Operation: 98-75=23, Resulting Numbers: [39, 23] Generated Node #3: [39, 23] from Operation: 98-75=23 Current State: 16:[39, 23], Operations: ['16+23=39', '98-75=23'] Exploring Operation: 39-23=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 14, 19, 31, 11 ]
100
[ "19-14=5", "31-11=20", "5*20=100" ]
Current State: 100:[14, 19, 31, 11], Operations: [] Exploring Operation: 19-14=5, Resulting Numbers: [31, 11, 5] Generated Node #2: [31, 11, 5] from Operation: 19-14=5 Current State: 100:[31, 11, 5], Operations: ['19-14=5'] Exploring Operation: 31-11=20, Resulting Numbers: [5, 20] Generated Node #3: [5, 20] from Operation: 31-11=20 Current State: 100:[5, 20], Operations: ['19-14=5', '31-11=20'] Exploring Operation: 5*20=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 55, 78, 32, 41 ]
82
[ "78+32=110", "110/55=2", "41*2=82" ]
Current State: 82:[55, 78, 32, 41], Operations: [] Exploring Operation: 78+32=110, Resulting Numbers: [55, 41, 110] Generated Node #2: [55, 41, 110] from Operation: 78+32=110 Current State: 82:[55, 41, 110], Operations: ['78+32=110'] Exploring Operation: 110/55=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 110/55=2 Current State: 82:[41, 2], Operations: ['78+32=110', '110/55=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 73, 52, 22, 88 ]
87
[ "73-52=21", "88-22=66", "21+66=87" ]
Current State: 87:[73, 52, 22, 88], Operations: [] Exploring Operation: 73-52=21, Resulting Numbers: [22, 88, 21] Generated Node #2: [22, 88, 21] from Operation: 73-52=21 Current State: 87:[22, 88, 21], Operations: ['73-52=21'] Exploring Operation: 88-22=66, Resulting Numbers: [21, 66] Generated Node #3: [21, 66] from Operation: 88-22=66 Current State: 87:[21, 66], Operations: ['73-52=21', '88-22=66'] Exploring Operation: 21+66=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 14, 90, 25, 58 ]
20
[ "14+58=72", "25*72=1800", "1800/90=20" ]
Current State: 20:[14, 90, 25, 58], Operations: [] Exploring Operation: 14+58=72, Resulting Numbers: [90, 25, 72] Generated Node #2: [90, 25, 72] from Operation: 14+58=72 Current State: 20:[90, 25, 72], Operations: ['14+58=72'] Exploring Operation: 25*72=1800, Resulting Numbers: [90, 1800] Generated Node #3: [90, 1800] from Operation: 25*72=1800 Current State: 20:[90, 1800], Operations: ['14+58=72', '25*72=1800'] Exploring Operation: 1800/90=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 80, 39, 97, 77 ]
20
[ "80-77=3", "39*3=117", "117-97=20" ]
Current State: 20:[80, 39, 97, 77], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [39, 97, 3] Generated Node #2: [39, 97, 3] from Operation: 80-77=3 Current State: 20:[39, 97, 3], Operations: ['80-77=3'] Exploring Operation: 39*3=117, Resulting Numbers: [97, 117] Generated Node #3: [97, 117] from Operation: 39*3=117 Current State: 20:[97, 117], Operations: ['80-77=3', '39*3=117'] Exploring Operation: 117-97=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 26, 98, 65, 96 ]
37
[ "26+98=124", "65+96=161", "161-124=37" ]
Current State: 37:[26, 98, 65, 96], Operations: [] Exploring Operation: 26+98=124, Resulting Numbers: [65, 96, 124] Generated Node #2: [65, 96, 124] from Operation: 26+98=124 Current State: 37:[65, 96, 124], Operations: ['26+98=124'] Exploring Operation: 65+96=161, Resulting Numbers: [124, 161] Generated Node #3: [124, 161] from Operation: 65+96=161 Current State: 37:[124, 161], Operations: ['26+98=124', '65+96=161'] Exploring Operation: 161-124=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 74, 3, 89, 3 ]
21
[ "74-3=71", "89+3=92", "92-71=21" ]
Current State: 21:[74, 3, 89, 3], Operations: [] Exploring Operation: 74-3=71, Resulting Numbers: [89, 71] Generated Node #2: [89, 71] from Operation: 74-3=71 Current State: 21:[89, 71], Operations: ['74-3=71'] Exploring Operation: 89+3=92, Resulting Numbers: [71, 92] Generated Node #3: [71, 92] from Operation: 89+3=92 Current State: 21:[71, 92], Operations: ['74-3=71', '89+3=92'] Exploring Operation: 92-71=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 75, 57, 74, 6 ]
34
[ "75-57=18", "6*18=108", "108-74=34" ]
Current State: 34:[75, 57, 74, 6], Operations: [] Exploring Operation: 75-57=18, Resulting Numbers: [74, 6, 18] Generated Node #2: [74, 6, 18] from Operation: 75-57=18 Current State: 34:[74, 6, 18], Operations: ['75-57=18'] Exploring Operation: 6*18=108, Resulting Numbers: [74, 108] Generated Node #3: [74, 108] from Operation: 6*18=108 Current State: 34:[74, 108], Operations: ['75-57=18', '6*18=108'] Exploring Operation: 108-74=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 99, 34, 12, 21 ]
31
[ "12+21=33", "99/33=3", "34-3=31" ]
Current State: 31:[99, 34, 12, 21], Operations: [] Exploring Operation: 12+21=33, Resulting Numbers: [99, 34, 33] Generated Node #2: [99, 34, 33] from Operation: 12+21=33 Current State: 31:[99, 34, 33], Operations: ['12+21=33'] Exploring Operation: 99/33=3, Resulting Numbers: [34, 3] Generated Node #3: [34, 3] from Operation: 99/33=3 Current State: 31:[34, 3], Operations: ['12+21=33', '99/33=3'] Exploring Operation: 34-3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 51, 44, 11, 22 ]
69
[ "51+22=73", "44/11=4", "73-4=69" ]
Current State: 69:[51, 44, 11, 22], Operations: [] Exploring Operation: 51+22=73, Resulting Numbers: [44, 11, 73] Generated Node #2: [44, 11, 73] from Operation: 51+22=73 Current State: 69:[44, 11, 73], Operations: ['51+22=73'] Exploring Operation: 44/11=4, Resulting Numbers: [73, 4] Generated Node #3: [73, 4] from Operation: 44/11=4 Current State: 69:[73, 4], Operations: ['51+22=73', '44/11=4'] Exploring Operation: 73-4=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 49, 96, 52, 93 ]
95
[ "96-93=3", "49*3=147", "147-52=95" ]
Current State: 95:[49, 96, 52, 93], Operations: [] Exploring Operation: 96-93=3, Resulting Numbers: [49, 52, 3] Generated Node #2: [49, 52, 3] from Operation: 96-93=3 Current State: 95:[49, 52, 3], Operations: ['96-93=3'] Exploring Operation: 49*3=147, Resulting Numbers: [52, 147] Generated Node #3: [52, 147] from Operation: 49*3=147 Current State: 95:[52, 147], Operations: ['96-93=3', '49*3=147'] Exploring Operation: 147-52=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 5, 35, 24, 84 ]
90
[ "35-5=30", "84-24=60", "30+60=90" ]
Current State: 90:[5, 35, 24, 84], Operations: [] Exploring Operation: 35-5=30, Resulting Numbers: [24, 84, 30] Generated Node #2: [24, 84, 30] from Operation: 35-5=30 Current State: 90:[24, 84, 30], Operations: ['35-5=30'] Exploring Operation: 84-24=60, Resulting Numbers: [30, 60] Generated Node #3: [30, 60] from Operation: 84-24=60 Current State: 90:[30, 60], Operations: ['35-5=30', '84-24=60'] Exploring Operation: 30+60=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 54, 65, 84, 52 ]
51
[ "65*84=5460", "5460/52=105", "105-54=51" ]
Current State: 51:[54, 65, 84, 52], Operations: [] Exploring Operation: 65*84=5460, Resulting Numbers: [54, 52, 5460] Generated Node #2: [54, 52, 5460] from Operation: 65*84=5460 Current State: 51:[54, 52, 5460], Operations: ['65*84=5460'] Exploring Operation: 5460/52=105, Resulting Numbers: [54, 105] Generated Node #3: [54, 105] from Operation: 5460/52=105 Current State: 51:[54, 105], Operations: ['65*84=5460', '5460/52=105'] Exploring Operation: 105-54=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 12, 19, 4, 20 ]
41
[ "12/4=3", "20*3=60", "60-19=41" ]
Current State: 41:[12, 19, 4, 20], Operations: [] Exploring Operation: 12/4=3, Resulting Numbers: [19, 20, 3] Generated Node #2: [19, 20, 3] from Operation: 12/4=3 Current State: 41:[19, 20, 3], Operations: ['12/4=3'] Exploring Operation: 20*3=60, Resulting Numbers: [19, 60] Generated Node #3: [19, 60] from Operation: 20*3=60 Current State: 41:[19, 60], Operations: ['12/4=3', '20*3=60'] Exploring Operation: 60-19=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 38, 82, 3, 37 ]
53
[ "82-37=45", "45/3=15", "38+15=53" ]
Current State: 53:[38, 82, 3, 37], Operations: [] Exploring Operation: 82-37=45, Resulting Numbers: [38, 3, 45] Generated Node #2: [38, 3, 45] from Operation: 82-37=45 Current State: 53:[38, 3, 45], Operations: ['82-37=45'] Exploring Operation: 45/3=15, Resulting Numbers: [38, 15] Generated Node #3: [38, 15] from Operation: 45/3=15 Current State: 53:[38, 15], Operations: ['82-37=45', '45/3=15'] Exploring Operation: 38+15=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 34, 42, 45, 39 ]
70
[ "34+42=76", "45-39=6", "76-6=70" ]
Current State: 70:[34, 42, 45, 39], Operations: [] Exploring Operation: 34+42=76, Resulting Numbers: [45, 39, 76] Generated Node #2: [45, 39, 76] from Operation: 34+42=76 Current State: 70:[45, 39, 76], Operations: ['34+42=76'] Exploring Operation: 45-39=6, Resulting Numbers: [76, 6] Generated Node #3: [76, 6] from Operation: 45-39=6 Current State: 70:[76, 6], Operations: ['34+42=76', '45-39=6'] Exploring Operation: 76-6=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 8, 28, 68, 64 ]
56
[ "8*28=224", "68-64=4", "224/4=56" ]
Current State: 56:[8, 28, 68, 64], Operations: [] Exploring Operation: 8*28=224, Resulting Numbers: [68, 64, 224] Generated Node #2: [68, 64, 224] from Operation: 8*28=224 Current State: 56:[68, 64, 224], Operations: ['8*28=224'] Exploring Operation: 68-64=4, Resulting Numbers: [224, 4] Generated Node #3: [224, 4] from Operation: 68-64=4 Current State: 56:[224, 4], Operations: ['8*28=224', '68-64=4'] Exploring Operation: 224/4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 54, 27, 52, 7 ]
43
[ "54/27=2", "52-7=45", "45-2=43" ]
Current State: 43:[54, 27, 52, 7], Operations: [] Exploring Operation: 54/27=2, Resulting Numbers: [52, 7, 2] Generated Node #2: [52, 7, 2] from Operation: 54/27=2 Current State: 43:[52, 7, 2], Operations: ['54/27=2'] Exploring Operation: 52-7=45, Resulting Numbers: [2, 45] Generated Node #3: [2, 45] from Operation: 52-7=45 Current State: 43:[2, 45], Operations: ['54/27=2', '52-7=45'] Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 60, 36, 23, 39 ]
43
[ "39-36=3", "60/3=20", "23+20=43" ]
Current State: 43:[60, 36, 23, 39], Operations: [] Exploring Operation: 39-36=3, Resulting Numbers: [60, 23, 3] Generated Node #2: [60, 23, 3] from Operation: 39-36=3 Current State: 43:[60, 23, 3], Operations: ['39-36=3'] Exploring Operation: 60/3=20, Resulting Numbers: [23, 20] Generated Node #3: [23, 20] from Operation: 60/3=20 Current State: 43:[23, 20], Operations: ['39-36=3', '60/3=20'] Exploring Operation: 23+20=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 50, 80, 68, 5 ]
43
[ "80-50=30", "68+5=73", "73-30=43" ]
Current State: 43:[50, 80, 68, 5], Operations: [] Exploring Operation: 80-50=30, Resulting Numbers: [68, 5, 30] Generated Node #2: [68, 5, 30] from Operation: 80-50=30 Current State: 43:[68, 5, 30], Operations: ['80-50=30'] Exploring Operation: 68+5=73, Resulting Numbers: [30, 73] Generated Node #3: [30, 73] from Operation: 68+5=73 Current State: 43:[30, 73], Operations: ['80-50=30', '68+5=73'] Exploring Operation: 73-30=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 7, 89, 97, 26 ]
25
[ "7+89=96", "97-26=71", "96-71=25" ]
Current State: 25:[7, 89, 97, 26], Operations: [] Exploring Operation: 7+89=96, Resulting Numbers: [97, 26, 96] Generated Node #2: [97, 26, 96] from Operation: 7+89=96 Current State: 25:[97, 26, 96], Operations: ['7+89=96'] Exploring Operation: 97-26=71, Resulting Numbers: [96, 71] Generated Node #3: [96, 71] from Operation: 97-26=71 Current State: 25:[96, 71], Operations: ['7+89=96', '97-26=71'] Exploring Operation: 96-71=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 11, 13, 48, 92 ]
52
[ "92-48=44", "44/11=4", "13*4=52" ]
Current State: 52:[11, 13, 48, 92], Operations: [] Exploring Operation: 92-48=44, Resulting Numbers: [11, 13, 44] Generated Node #2: [11, 13, 44] from Operation: 92-48=44 Current State: 52:[11, 13, 44], Operations: ['92-48=44'] Exploring Operation: 44/11=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 44/11=4 Current State: 52:[13, 4], Operations: ['92-48=44', '44/11=4'] Exploring Operation: 13*4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 50, 78, 40, 73 ]
18
[ "50+40=90", "78-73=5", "90/5=18" ]
Current State: 18:[50, 78, 40, 73], Operations: [] Exploring Operation: 50+40=90, Resulting Numbers: [78, 73, 90] Generated Node #2: [78, 73, 90] from Operation: 50+40=90 Current State: 18:[78, 73, 90], Operations: ['50+40=90'] Exploring Operation: 78-73=5, Resulting Numbers: [90, 5] Generated Node #3: [90, 5] from Operation: 78-73=5 Current State: 18:[90, 5], Operations: ['50+40=90', '78-73=5'] Exploring Operation: 90/5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 10, 37, 74, 55 ]
28
[ "10+37=47", "74-55=19", "47-19=28" ]
Current State: 28:[10, 37, 74, 55], Operations: [] Exploring Operation: 10+37=47, Resulting Numbers: [74, 55, 47] Generated Node #2: [74, 55, 47] from Operation: 10+37=47 Current State: 28:[74, 55, 47], Operations: ['10+37=47'] Exploring Operation: 74-55=19, Resulting Numbers: [47, 19] Generated Node #3: [47, 19] from Operation: 74-55=19 Current State: 28:[47, 19], Operations: ['10+37=47', '74-55=19'] Exploring Operation: 47-19=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 5, 36, 81, 80 ]
41
[ "5+36=41", "81-80=1", "41*1=41" ]
Current State: 41:[5, 36, 81, 80], Operations: [] Exploring Operation: 5+36=41, Resulting Numbers: [81, 80, 41] Generated Node #2: [81, 80, 41] from Operation: 5+36=41 Current State: 41:[81, 80, 41], Operations: ['5+36=41'] Exploring Operation: 81-80=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 81-80=1 Current State: 41:[41, 1], Operations: ['5+36=41', '81-80=1'] Exploring Operation: 41*1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 54, 31, 90, 53 ]
14
[ "54-31=23", "90-53=37", "37-23=14" ]
Current State: 14:[54, 31, 90, 53], Operations: [] Exploring Operation: 54-31=23, Resulting Numbers: [90, 53, 23] Generated Node #2: [90, 53, 23] from Operation: 54-31=23 Current State: 14:[90, 53, 23], Operations: ['54-31=23'] Exploring Operation: 90-53=37, Resulting Numbers: [23, 37] Generated Node #3: [23, 37] from Operation: 90-53=37 Current State: 14:[23, 37], Operations: ['54-31=23', '90-53=37'] Exploring Operation: 37-23=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 28, 39, 26, 33 ]
35
[ "33-26=7", "28/7=4", "39-4=35" ]
Current State: 35:[28, 39, 26, 33], Operations: [] Exploring Operation: 33-26=7, Resulting Numbers: [28, 39, 7] Generated Node #2: [28, 39, 7] from Operation: 33-26=7 Current State: 35:[28, 39, 7], Operations: ['33-26=7'] Exploring Operation: 28/7=4, Resulting Numbers: [39, 4] Generated Node #3: [39, 4] from Operation: 28/7=4 Current State: 35:[39, 4], Operations: ['33-26=7', '28/7=4'] Exploring Operation: 39-4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 50, 95, 16, 2 ]
80
[ "50*2=100", "100-95=5", "16*5=80" ]
Current State: 80:[50, 95, 16, 2], Operations: [] Exploring Operation: 50*2=100, Resulting Numbers: [95, 16, 100] Generated Node #2: [95, 16, 100] from Operation: 50*2=100 Current State: 80:[95, 16, 100], Operations: ['50*2=100'] Exploring Operation: 100-95=5, Resulting Numbers: [16, 5] Generated Node #3: [16, 5] from Operation: 100-95=5 Current State: 80:[16, 5], Operations: ['50*2=100', '100-95=5'] Exploring Operation: 16*5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 48, 43, 38, 58 ]
25
[ "48-43=5", "58-38=20", "5+20=25" ]
Current State: 25:[48, 43, 38, 58], Operations: [] Exploring Operation: 48-43=5, Resulting Numbers: [38, 58, 5] Generated Node #2: [38, 58, 5] from Operation: 48-43=5 Current State: 25:[38, 58, 5], Operations: ['48-43=5'] Exploring Operation: 58-38=20, Resulting Numbers: [5, 20] Generated Node #3: [5, 20] from Operation: 58-38=20 Current State: 25:[5, 20], Operations: ['48-43=5', '58-38=20'] Exploring Operation: 5+20=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 34, 39, 18, 48 ]
70
[ "39*48=1872", "1872/18=104", "104-34=70" ]
Current State: 70:[34, 39, 18, 48], Operations: [] Exploring Operation: 39*48=1872, Resulting Numbers: [34, 18, 1872] Generated Node #2: [34, 18, 1872] from Operation: 39*48=1872 Current State: 70:[34, 18, 1872], Operations: ['39*48=1872'] Exploring Operation: 1872/18=104, Resulting Numbers: [34, 104] Generated Node #3: [34, 104] from Operation: 1872/18=104 Current State: 70:[34, 104], Operations: ['39*48=1872', '1872/18=104'] Exploring Operation: 104-34=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 50, 23, 58, 86 ]
71
[ "50+23=73", "58+86=144", "144-73=71" ]
Current State: 71:[50, 23, 58, 86], Operations: [] Exploring Operation: 50+23=73, Resulting Numbers: [58, 86, 73] Generated Node #2: [58, 86, 73] from Operation: 50+23=73 Current State: 71:[58, 86, 73], Operations: ['50+23=73'] Exploring Operation: 58+86=144, Resulting Numbers: [73, 144] Generated Node #3: [73, 144] from Operation: 58+86=144 Current State: 71:[73, 144], Operations: ['50+23=73', '58+86=144'] Exploring Operation: 144-73=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 26, 24, 61, 24 ]
73
[ "26-24=2", "24/2=12", "61+12=73" ]
Current State: 73:[26, 24, 61, 24], Operations: [] Exploring Operation: 26-24=2, Resulting Numbers: [61, 2] Generated Node #2: [61, 2] from Operation: 26-24=2 Current State: 73:[61, 2], Operations: ['26-24=2'] Exploring Operation: 24/2=12, Resulting Numbers: [61, 12] Generated Node #3: [61, 12] from Operation: 24/2=12 Current State: 73:[61, 12], Operations: ['26-24=2', '24/2=12'] Exploring Operation: 61+12=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 39, 64, 2, 20 ]
43
[ "64-39=25", "20-2=18", "25+18=43" ]
Current State: 43:[39, 64, 2, 20], Operations: [] Exploring Operation: 64-39=25, Resulting Numbers: [2, 20, 25] Generated Node #2: [2, 20, 25] from Operation: 64-39=25 Current State: 43:[2, 20, 25], Operations: ['64-39=25'] Exploring Operation: 20-2=18, Resulting Numbers: [25, 18] Generated Node #3: [25, 18] from Operation: 20-2=18 Current State: 43:[25, 18], Operations: ['64-39=25', '20-2=18'] Exploring Operation: 25+18=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 13, 92, 73, 84 ]
52
[ "13+92=105", "73+84=157", "157-105=52" ]
Current State: 52:[13, 92, 73, 84], Operations: [] Exploring Operation: 13+92=105, Resulting Numbers: [73, 84, 105] Generated Node #2: [73, 84, 105] from Operation: 13+92=105 Current State: 52:[73, 84, 105], Operations: ['13+92=105'] Exploring Operation: 73+84=157, Resulting Numbers: [105, 157] Generated Node #3: [105, 157] from Operation: 73+84=157 Current State: 52:[105, 157], Operations: ['13+92=105', '73+84=157'] Exploring Operation: 157-105=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 73, 8, 64, 32 ]
13
[ "73-64=9", "32/8=4", "9+4=13" ]
Current State: 13:[73, 8, 64, 32], Operations: [] Exploring Operation: 73-64=9, Resulting Numbers: [8, 32, 9] Generated Node #2: [8, 32, 9] from Operation: 73-64=9 Current State: 13:[8, 32, 9], Operations: ['73-64=9'] Exploring Operation: 32/8=4, Resulting Numbers: [9, 4] Generated Node #3: [9, 4] from Operation: 32/8=4 Current State: 13:[9, 4], Operations: ['73-64=9', '32/8=4'] Exploring Operation: 9+4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 87, 16, 98, 94 ]
82
[ "98-87=11", "16*11=176", "176-94=82" ]
Current State: 82:[87, 16, 98, 94], Operations: [] Exploring Operation: 98-87=11, Resulting Numbers: [16, 94, 11] Generated Node #2: [16, 94, 11] from Operation: 98-87=11 Current State: 82:[16, 94, 11], Operations: ['98-87=11'] Exploring Operation: 16*11=176, Resulting Numbers: [94, 176] Generated Node #3: [94, 176] from Operation: 16*11=176 Current State: 82:[94, 176], Operations: ['98-87=11', '16*11=176'] Exploring Operation: 176-94=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 95, 98, 25, 53 ]
81
[ "98-95=3", "25+53=78", "3+78=81" ]
Current State: 81:[95, 98, 25, 53], Operations: [] Exploring Operation: 98-95=3, Resulting Numbers: [25, 53, 3] Generated Node #2: [25, 53, 3] from Operation: 98-95=3 Current State: 81:[25, 53, 3], Operations: ['98-95=3'] Exploring Operation: 25+53=78, Resulting Numbers: [3, 78] Generated Node #3: [3, 78] from Operation: 25+53=78 Current State: 81:[3, 78], Operations: ['98-95=3', '25+53=78'] Exploring Operation: 3+78=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 54, 18, 16, 45 ]
58
[ "54/18=3", "16+45=61", "61-3=58" ]
Current State: 58:[54, 18, 16, 45], Operations: [] Exploring Operation: 54/18=3, Resulting Numbers: [16, 45, 3] Generated Node #2: [16, 45, 3] from Operation: 54/18=3 Current State: 58:[16, 45, 3], Operations: ['54/18=3'] Exploring Operation: 16+45=61, Resulting Numbers: [3, 61] Generated Node #3: [3, 61] from Operation: 16+45=61 Current State: 58:[3, 61], Operations: ['54/18=3', '16+45=61'] Exploring Operation: 61-3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 17, 64, 57, 85 ]
34
[ "64-57=7", "17*7=119", "119-85=34" ]
Current State: 34:[17, 64, 57, 85], Operations: [] Exploring Operation: 64-57=7, Resulting Numbers: [17, 85, 7] Generated Node #2: [17, 85, 7] from Operation: 64-57=7 Current State: 34:[17, 85, 7], Operations: ['64-57=7'] Exploring Operation: 17*7=119, Resulting Numbers: [85, 119] Generated Node #3: [85, 119] from Operation: 17*7=119 Current State: 34:[85, 119], Operations: ['64-57=7', '17*7=119'] Exploring Operation: 119-85=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 83, 52, 62, 80 ]
82
[ "83-52=31", "62/31=2", "80+2=82" ]
Current State: 82:[83, 52, 62, 80], Operations: [] Exploring Operation: 83-52=31, Resulting Numbers: [62, 80, 31] Generated Node #2: [62, 80, 31] from Operation: 83-52=31 Current State: 82:[62, 80, 31], Operations: ['83-52=31'] Exploring Operation: 62/31=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 62/31=2 Current State: 82:[80, 2], Operations: ['83-52=31', '62/31=2'] Exploring Operation: 80+2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 12, 75, 72, 74 ]
89
[ "12+75=87", "74-72=2", "87+2=89" ]
Current State: 89:[12, 75, 72, 74], Operations: [] Exploring Operation: 12+75=87, Resulting Numbers: [72, 74, 87] Generated Node #2: [72, 74, 87] from Operation: 12+75=87 Current State: 89:[72, 74, 87], Operations: ['12+75=87'] Exploring Operation: 74-72=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 74-72=2 Current State: 89:[87, 2], Operations: ['12+75=87', '74-72=2'] Exploring Operation: 87+2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 34, 20, 88, 26 ]
85
[ "34+26=60", "60/20=3", "88-3=85" ]
Current State: 85:[34, 20, 88, 26], Operations: [] Exploring Operation: 34+26=60, Resulting Numbers: [20, 88, 60] Generated Node #2: [20, 88, 60] from Operation: 34+26=60 Current State: 85:[20, 88, 60], Operations: ['34+26=60'] Exploring Operation: 60/20=3, Resulting Numbers: [88, 3] Generated Node #3: [88, 3] from Operation: 60/20=3 Current State: 85:[88, 3], Operations: ['34+26=60', '60/20=3'] Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 27, 84, 12, 66 ]
33
[ "27+84=111", "12+66=78", "111-78=33" ]
Current State: 33:[27, 84, 12, 66], Operations: [] Exploring Operation: 27+84=111, Resulting Numbers: [12, 66, 111] Generated Node #2: [12, 66, 111] from Operation: 27+84=111 Current State: 33:[12, 66, 111], Operations: ['27+84=111'] Exploring Operation: 12+66=78, Resulting Numbers: [111, 78] Generated Node #3: [111, 78] from Operation: 12+66=78 Current State: 33:[111, 78], Operations: ['27+84=111', '12+66=78'] Exploring Operation: 111-78=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 38, 84, 32, 10 ]
91
[ "38+32=70", "70/10=7", "84+7=91" ]
Current State: 91:[38, 84, 32, 10], Operations: [] Exploring Operation: 38+32=70, Resulting Numbers: [84, 10, 70] Generated Node #2: [84, 10, 70] from Operation: 38+32=70 Current State: 91:[84, 10, 70], Operations: ['38+32=70'] Exploring Operation: 70/10=7, Resulting Numbers: [84, 7] Generated Node #3: [84, 7] from Operation: 70/10=7 Current State: 91:[84, 7], Operations: ['38+32=70', '70/10=7'] Exploring Operation: 84+7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 34, 36, 38, 75 ]
92
[ "38-36=2", "34/2=17", "75+17=92" ]
Current State: 92:[34, 36, 38, 75], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [34, 75, 2] Generated Node #2: [34, 75, 2] from Operation: 38-36=2 Current State: 92:[34, 75, 2], Operations: ['38-36=2'] Exploring Operation: 34/2=17, Resulting Numbers: [75, 17] Generated Node #3: [75, 17] from Operation: 34/2=17 Current State: 92:[75, 17], Operations: ['38-36=2', '34/2=17'] Exploring Operation: 75+17=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 62, 61, 59, 83 ]
23
[ "62-61=1", "83-59=24", "24-1=23" ]
Current State: 23:[62, 61, 59, 83], Operations: [] Exploring Operation: 62-61=1, Resulting Numbers: [59, 83, 1] Generated Node #2: [59, 83, 1] from Operation: 62-61=1 Current State: 23:[59, 83, 1], Operations: ['62-61=1'] Exploring Operation: 83-59=24, Resulting Numbers: [1, 24] Generated Node #3: [1, 24] from Operation: 83-59=24 Current State: 23:[1, 24], Operations: ['62-61=1', '83-59=24'] Exploring Operation: 24-1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 12, 11, 14, 7 ]
99
[ "12-11=1", "14*7=98", "1+98=99" ]
Current State: 99:[12, 11, 14, 7], Operations: [] Exploring Operation: 12-11=1, Resulting Numbers: [14, 7, 1] Generated Node #2: [14, 7, 1] from Operation: 12-11=1 Current State: 99:[14, 7, 1], Operations: ['12-11=1'] Exploring Operation: 14*7=98, Resulting Numbers: [1, 98] Generated Node #3: [1, 98] from Operation: 14*7=98 Current State: 99:[1, 98], Operations: ['12-11=1', '14*7=98'] Exploring Operation: 1+98=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 27, 7, 36, 13 ]
11
[ "27+7=34", "36-13=23", "34-23=11" ]
Current State: 11:[27, 7, 36, 13], Operations: [] Exploring Operation: 27+7=34, Resulting Numbers: [36, 13, 34] Generated Node #2: [36, 13, 34] from Operation: 27+7=34 Current State: 11:[36, 13, 34], Operations: ['27+7=34'] Exploring Operation: 36-13=23, Resulting Numbers: [34, 23] Generated Node #3: [34, 23] from Operation: 36-13=23 Current State: 11:[34, 23], Operations: ['27+7=34', '36-13=23'] Exploring Operation: 34-23=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 54, 61, 7, 50 ]
64
[ "61-54=7", "7+50=57", "7+57=64" ]
Current State: 64:[54, 61, 7, 50], Operations: [] Exploring Operation: 61-54=7, Resulting Numbers: [7, 50, 7] Generated Node #2: [7, 50, 7] from Operation: 61-54=7 Current State: 64:[7, 50, 7], Operations: ['61-54=7'] Exploring Operation: 7+50=57, Resulting Numbers: [57] 57,64 equal: Goal Reached Exploring Operation: 7+57=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 2, 6, 93, 54 ]
69
[ "6/2=3", "54*3=162", "162-93=69" ]
Current State: 69:[2, 6, 93, 54], Operations: [] Exploring Operation: 6/2=3, Resulting Numbers: [93, 54, 3] Generated Node #2: [93, 54, 3] from Operation: 6/2=3 Current State: 69:[93, 54, 3], Operations: ['6/2=3'] Exploring Operation: 54*3=162, Resulting Numbers: [93, 162] Generated Node #3: [93, 162] from Operation: 54*3=162 Current State: 69:[93, 162], Operations: ['6/2=3', '54*3=162'] Exploring Operation: 162-93=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4