Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 61, 30, 39, 2 ]
72
[ "61-30=31", "39+2=41", "31+41=72" ]
Current State: 72:[61, 30, 39, 2], Operations: [] Exploring Operation: 61-30=31, Resulting Numbers: [39, 2, 31] Generated Node #2: [39, 2, 31] from Operation: 61-30=31 Current State: 72:[39, 2, 31], Operations: ['61-30=31'] Exploring Operation: 39+2=41, Resulting Numbers: [31, 41] Generated Node #3: [31, 41] from Operation: 39+2=41 Current State: 72:[31, 41], Operations: ['61-30=31', '39+2=41'] Exploring Operation: 31+41=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 77, 84, 46, 79 ]
26
[ "84-77=7", "79-46=33", "33-7=26" ]
Current State: 26:[77, 84, 46, 79], Operations: [] Exploring Operation: 84-77=7, Resulting Numbers: [46, 79, 7] Generated Node #2: [46, 79, 7] from Operation: 84-77=7 Current State: 26:[46, 79, 7], Operations: ['84-77=7'] Exploring Operation: 79-46=33, Resulting Numbers: [7, 33] Generated Node #3: [7, 33] from Operation: 79-46=33 Current State: 26:[7, 33], Operations: ['84-77=7', '79-46=33'] Exploring Operation: 33-7=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 23, 44, 25, 1 ]
92
[ "23+44=67", "25*1=25", "67+25=92" ]
Current State: 92:[23, 44, 25, 1], Operations: [] Exploring Operation: 23+44=67, Resulting Numbers: [25, 1, 67] Generated Node #2: [25, 1, 67] from Operation: 23+44=67 Current State: 92:[25, 1, 67], Operations: ['23+44=67'] Exploring Operation: 25*1=25, Resulting Numbers: [67, 25] Generated Node #3: [67, 25] from Operation: 25*1=25 Current State: 92:[67, 25], Operations: ['23+44=67', '25*1=25'] Exploring Operation: 67+25=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 34, 41, 55, 27 ]
57
[ "41+27=68", "68/34=2", "55+2=57" ]
Current State: 57:[34, 41, 55, 27], Operations: [] Exploring Operation: 41+27=68, Resulting Numbers: [34, 55, 68] Generated Node #2: [34, 55, 68] from Operation: 41+27=68 Current State: 57:[34, 55, 68], Operations: ['41+27=68'] Exploring Operation: 68/34=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 68/34=2 Current State: 57:[55, 2], Operations: ['41+27=68', '68/34=2'] Exploring Operation: 55+2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 15, 39, 90, 25 ]
48
[ "25-15=10", "90/10=9", "39+9=48" ]
Current State: 48:[15, 39, 90, 25], Operations: [] Exploring Operation: 25-15=10, Resulting Numbers: [39, 90, 10] Generated Node #2: [39, 90, 10] from Operation: 25-15=10 Current State: 48:[39, 90, 10], Operations: ['25-15=10'] Exploring Operation: 90/10=9, Resulting Numbers: [39, 9] Generated Node #3: [39, 9] from Operation: 90/10=9 Current State: 48:[39, 9], Operations: ['25-15=10', '90/10=9'] Exploring Operation: 39+9=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 99, 7, 22, 2 ]
63
[ "99*7=693", "22/2=11", "693/11=63" ]
Current State: 63:[99, 7, 22, 2], Operations: [] Exploring Operation: 99*7=693, Resulting Numbers: [22, 2, 693] Generated Node #2: [22, 2, 693] from Operation: 99*7=693 Current State: 63:[22, 2, 693], Operations: ['99*7=693'] Exploring Operation: 22/2=11, Resulting Numbers: [693, 11] Generated Node #3: [693, 11] from Operation: 22/2=11 Current State: 63:[693, 11], Operations: ['99*7=693', '22/2=11'] Exploring Operation: 693/11=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 1, 51, 57, 20 ]
88
[ "1*51=51", "57-20=37", "51+37=88" ]
Current State: 88:[1, 51, 57, 20], Operations: [] Exploring Operation: 1*51=51, Resulting Numbers: [57, 20, 51] Generated Node #2: [57, 20, 51] from Operation: 1*51=51 Current State: 88:[57, 20, 51], Operations: ['1*51=51'] Exploring Operation: 57-20=37, Resulting Numbers: [51, 37] Generated Node #3: [51, 37] from Operation: 57-20=37 Current State: 88:[51, 37], Operations: ['1*51=51', '57-20=37'] Exploring Operation: 51+37=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 7, 35, 93, 65 ]
23
[ "35/7=5", "93-65=28", "28-5=23" ]
Current State: 23:[7, 35, 93, 65], Operations: [] Exploring Operation: 35/7=5, Resulting Numbers: [93, 65, 5] Generated Node #2: [93, 65, 5] from Operation: 35/7=5 Current State: 23:[93, 65, 5], Operations: ['35/7=5'] Exploring Operation: 93-65=28, Resulting Numbers: [5, 28] Generated Node #3: [5, 28] from Operation: 93-65=28 Current State: 23:[5, 28], Operations: ['35/7=5', '93-65=28'] Exploring Operation: 28-5=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 84, 84, 95, 1 ]
95
[ "84-84=0", "95*1=95", "0+95=95" ]
Current State: 95:[84, 84, 95, 1], Operations: [] Exploring Operation: 84-84=0, Resulting Numbers: [95, 1, 0] Generated Node #2: [95, 1, 0] from Operation: 84-84=0 Current State: 95:[95, 1, 0], Operations: ['84-84=0'] Exploring Operation: 95*1=95, Resulting Numbers: [0, 95] Generated Node #3: [0, 95] from Operation: 95*1=95 Current State: 95:[0, 95], Operations: ['84-84=0', '95*1=95'] Exploring Operation: 0+95=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 68, 49, 77, 85 ]
27
[ "68-49=19", "85-77=8", "19+8=27" ]
Current State: 27:[68, 49, 77, 85], Operations: [] Exploring Operation: 68-49=19, Resulting Numbers: [77, 85, 19] Generated Node #2: [77, 85, 19] from Operation: 68-49=19 Current State: 27:[77, 85, 19], Operations: ['68-49=19'] Exploring Operation: 85-77=8, Resulting Numbers: [19, 8] Generated Node #3: [19, 8] from Operation: 85-77=8 Current State: 27:[19, 8], Operations: ['68-49=19', '85-77=8'] Exploring Operation: 19+8=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 12, 21, 98, 14 ]
11
[ "12*21=252", "252-98=154", "154/14=11" ]
Current State: 11:[12, 21, 98, 14], Operations: [] Exploring Operation: 12*21=252, Resulting Numbers: [98, 14, 252] Generated Node #2: [98, 14, 252] from Operation: 12*21=252 Current State: 11:[98, 14, 252], Operations: ['12*21=252'] Exploring Operation: 252-98=154, Resulting Numbers: [14, 154] Generated Node #3: [14, 154] from Operation: 252-98=154 Current State: 11:[14, 154], Operations: ['12*21=252', '252-98=154'] Exploring Operation: 154/14=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 14, 78, 12, 82 ]
62
[ "82-78=4", "12*4=48", "14+48=62" ]
Current State: 62:[14, 78, 12, 82], Operations: [] Exploring Operation: 82-78=4, Resulting Numbers: [14, 12, 4] Generated Node #2: [14, 12, 4] from Operation: 82-78=4 Current State: 62:[14, 12, 4], Operations: ['82-78=4'] Exploring Operation: 12*4=48, Resulting Numbers: [14, 48] Generated Node #3: [14, 48] from Operation: 12*4=48 Current State: 62:[14, 48], Operations: ['82-78=4', '12*4=48'] Exploring Operation: 14+48=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 21, 74, 71, 42 ]
68
[ "42/21=2", "71*2=142", "142-74=68" ]
Current State: 68:[21, 74, 71, 42], Operations: [] Exploring Operation: 42/21=2, Resulting Numbers: [74, 71, 2] Generated Node #2: [74, 71, 2] from Operation: 42/21=2 Current State: 68:[74, 71, 2], Operations: ['42/21=2'] Exploring Operation: 71*2=142, Resulting Numbers: [74, 142] Generated Node #3: [74, 142] from Operation: 71*2=142 Current State: 68:[74, 142], Operations: ['42/21=2', '71*2=142'] Exploring Operation: 142-74=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 23, 10, 89, 85 ]
82
[ "89-85=4", "23*4=92", "92-10=82" ]
Current State: 82:[23, 10, 89, 85], Operations: [] Exploring Operation: 89-85=4, Resulting Numbers: [23, 10, 4] Generated Node #2: [23, 10, 4] from Operation: 89-85=4 Current State: 82:[23, 10, 4], Operations: ['89-85=4'] Exploring Operation: 23*4=92, Resulting Numbers: [10, 92] Generated Node #3: [10, 92] from Operation: 23*4=92 Current State: 82:[10, 92], Operations: ['89-85=4', '23*4=92'] Exploring Operation: 92-10=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 4, 82, 36, 20 ]
18
[ "4*20=80", "82-80=2", "36/2=18" ]
Current State: 18:[4, 82, 36, 20], Operations: [] Exploring Operation: 4*20=80, Resulting Numbers: [82, 36, 80] Generated Node #2: [82, 36, 80] from Operation: 4*20=80 Current State: 18:[82, 36, 80], Operations: ['4*20=80'] Exploring Operation: 82-80=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 82-80=2 Current State: 18:[36, 2], Operations: ['4*20=80', '82-80=2'] Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 70, 12, 60, 75 ]
61
[ "70*12=840", "840/60=14", "75-14=61" ]
Current State: 61:[70, 12, 60, 75], Operations: [] Exploring Operation: 70*12=840, Resulting Numbers: [60, 75, 840] Generated Node #2: [60, 75, 840] from Operation: 70*12=840 Current State: 61:[60, 75, 840], Operations: ['70*12=840'] Exploring Operation: 840/60=14, Resulting Numbers: [75, 14] Generated Node #3: [75, 14] from Operation: 840/60=14 Current State: 61:[75, 14], Operations: ['70*12=840', '840/60=14'] Exploring Operation: 75-14=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 41, 26, 89, 79 ]
77
[ "41+26=67", "89-79=10", "67+10=77" ]
Current State: 77:[41, 26, 89, 79], Operations: [] Exploring Operation: 41+26=67, Resulting Numbers: [89, 79, 67] Generated Node #2: [89, 79, 67] from Operation: 41+26=67 Current State: 77:[89, 79, 67], Operations: ['41+26=67'] Exploring Operation: 89-79=10, Resulting Numbers: [67, 10] Generated Node #3: [67, 10] from Operation: 89-79=10 Current State: 77:[67, 10], Operations: ['41+26=67', '89-79=10'] Exploring Operation: 67+10=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 48, 37, 4, 83 ]
18
[ "48-37=11", "83-11=72", "72/4=18" ]
Current State: 18:[48, 37, 4, 83], Operations: [] Exploring Operation: 48-37=11, Resulting Numbers: [4, 83, 11] Generated Node #2: [4, 83, 11] from Operation: 48-37=11 Current State: 18:[4, 83, 11], Operations: ['48-37=11'] Exploring Operation: 83-11=72, Resulting Numbers: [4, 72] Generated Node #3: [4, 72] from Operation: 83-11=72 Current State: 18:[4, 72], Operations: ['48-37=11', '83-11=72'] Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 90, 38, 20, 5 ]
19
[ "90/5=18", "20-18=2", "38/2=19" ]
Current State: 19:[90, 38, 20, 5], Operations: [] Exploring Operation: 90/5=18, Resulting Numbers: [38, 20, 18] Generated Node #2: [38, 20, 18] from Operation: 90/5=18 Current State: 19:[38, 20, 18], Operations: ['90/5=18'] Exploring Operation: 20-18=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 20-18=2 Current State: 19:[38, 2], Operations: ['90/5=18', '20-18=2'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 90, 44, 73, 87 ]
59
[ "90-87=3", "44*3=132", "132-73=59" ]
Current State: 59:[90, 44, 73, 87], Operations: [] Exploring Operation: 90-87=3, Resulting Numbers: [44, 73, 3] Generated Node #2: [44, 73, 3] from Operation: 90-87=3 Current State: 59:[44, 73, 3], Operations: ['90-87=3'] Exploring Operation: 44*3=132, Resulting Numbers: [73, 132] Generated Node #3: [73, 132] from Operation: 44*3=132 Current State: 59:[73, 132], Operations: ['90-87=3', '44*3=132'] Exploring Operation: 132-73=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 53, 13, 14, 84 ]
32
[ "53+13=66", "14+84=98", "98-66=32" ]
Current State: 32:[53, 13, 14, 84], Operations: [] Exploring Operation: 53+13=66, Resulting Numbers: [14, 84, 66] Generated Node #2: [14, 84, 66] from Operation: 53+13=66 Current State: 32:[14, 84, 66], Operations: ['53+13=66'] Exploring Operation: 14+84=98, Resulting Numbers: [66, 98] Generated Node #3: [66, 98] from Operation: 14+84=98 Current State: 32:[66, 98], Operations: ['53+13=66', '14+84=98'] Exploring Operation: 98-66=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 6, 27, 81, 8 ]
26
[ "6*81=486", "486/27=18", "8+18=26" ]
Current State: 26:[6, 27, 81, 8], Operations: [] Exploring Operation: 6*81=486, Resulting Numbers: [27, 8, 486] Generated Node #2: [27, 8, 486] from Operation: 6*81=486 Current State: 26:[27, 8, 486], Operations: ['6*81=486'] Exploring Operation: 486/27=18, Resulting Numbers: [8, 18] Generated Node #3: [8, 18] from Operation: 486/27=18 Current State: 26:[8, 18], Operations: ['6*81=486', '486/27=18'] Exploring Operation: 8+18=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 6, 42, 50, 58 ]
56
[ "6+42=48", "58-50=8", "48+8=56" ]
Current State: 56:[6, 42, 50, 58], Operations: [] Exploring Operation: 6+42=48, Resulting Numbers: [50, 58, 48] Generated Node #2: [50, 58, 48] from Operation: 6+42=48 Current State: 56:[50, 58, 48], Operations: ['6+42=48'] Exploring Operation: 58-50=8, Resulting Numbers: [48, 8] Generated Node #3: [48, 8] from Operation: 58-50=8 Current State: 56:[48, 8], Operations: ['6+42=48', '58-50=8'] Exploring Operation: 48+8=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 65, 83, 80, 51 ]
11
[ "83-65=18", "80-51=29", "29-18=11" ]
Current State: 11:[65, 83, 80, 51], Operations: [] Exploring Operation: 83-65=18, Resulting Numbers: [80, 51, 18] Generated Node #2: [80, 51, 18] from Operation: 83-65=18 Current State: 11:[80, 51, 18], Operations: ['83-65=18'] Exploring Operation: 80-51=29, Resulting Numbers: [18, 29] Generated Node #3: [18, 29] from Operation: 80-51=29 Current State: 11:[18, 29], Operations: ['83-65=18', '80-51=29'] Exploring Operation: 29-18=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 90, 27, 91, 74 ]
47
[ "91-90=1", "74-27=47", "1*47=47" ]
Current State: 47:[90, 27, 91, 74], Operations: [] Exploring Operation: 91-90=1, Resulting Numbers: [27, 74, 1] Generated Node #2: [27, 74, 1] from Operation: 91-90=1 Current State: 47:[27, 74, 1], Operations: ['91-90=1'] Exploring Operation: 74-27=47, Resulting Numbers: [1, 47] Generated Node #3: [1, 47] from Operation: 74-27=47 Current State: 47:[1, 47], Operations: ['91-90=1', '74-27=47'] Exploring Operation: 1*47=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 67, 30, 74, 59 ]
82
[ "67+30=97", "74-59=15", "97-15=82" ]
Current State: 82:[67, 30, 74, 59], Operations: [] Exploring Operation: 67+30=97, Resulting Numbers: [74, 59, 97] Generated Node #2: [74, 59, 97] from Operation: 67+30=97 Current State: 82:[74, 59, 97], Operations: ['67+30=97'] Exploring Operation: 74-59=15, Resulting Numbers: [97, 15] Generated Node #3: [97, 15] from Operation: 74-59=15 Current State: 82:[97, 15], Operations: ['67+30=97', '74-59=15'] Exploring Operation: 97-15=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 65, 76, 45, 5 ]
57
[ "65-5=60", "76*45=3420", "3420/60=57" ]
Current State: 57:[65, 76, 45, 5], Operations: [] Exploring Operation: 65-5=60, Resulting Numbers: [76, 45, 60] Generated Node #2: [76, 45, 60] from Operation: 65-5=60 Current State: 57:[76, 45, 60], Operations: ['65-5=60'] Exploring Operation: 76*45=3420, Resulting Numbers: [60, 3420] Generated Node #3: [60, 3420] from Operation: 76*45=3420 Current State: 57:[60, 3420], Operations: ['65-5=60', '76*45=3420'] Exploring Operation: 3420/60=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 19, 80, 63, 60 ]
24
[ "19+80=99", "63+60=123", "123-99=24" ]
Current State: 24:[19, 80, 63, 60], Operations: [] Exploring Operation: 19+80=99, Resulting Numbers: [63, 60, 99] Generated Node #2: [63, 60, 99] from Operation: 19+80=99 Current State: 24:[63, 60, 99], Operations: ['19+80=99'] Exploring Operation: 63+60=123, Resulting Numbers: [99, 123] Generated Node #3: [99, 123] from Operation: 63+60=123 Current State: 24:[99, 123], Operations: ['19+80=99', '63+60=123'] Exploring Operation: 123-99=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 68, 28, 11, 70 ]
67
[ "70-68=2", "28*2=56", "11+56=67" ]
Current State: 67:[68, 28, 11, 70], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [28, 11, 2] Generated Node #2: [28, 11, 2] from Operation: 70-68=2 Current State: 67:[28, 11, 2], Operations: ['70-68=2'] Exploring Operation: 28*2=56, Resulting Numbers: [11, 56] Generated Node #3: [11, 56] from Operation: 28*2=56 Current State: 67:[11, 56], Operations: ['70-68=2', '28*2=56'] Exploring Operation: 11+56=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 22, 20, 36, 9 ]
69
[ "22+20=42", "36-9=27", "42+27=69" ]
Current State: 69:[22, 20, 36, 9], Operations: [] Exploring Operation: 22+20=42, Resulting Numbers: [36, 9, 42] Generated Node #2: [36, 9, 42] from Operation: 22+20=42 Current State: 69:[36, 9, 42], Operations: ['22+20=42'] Exploring Operation: 36-9=27, Resulting Numbers: [42, 27] Generated Node #3: [42, 27] from Operation: 36-9=27 Current State: 69:[42, 27], Operations: ['22+20=42', '36-9=27'] Exploring Operation: 42+27=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 18, 24, 49, 63 ]
70
[ "18+24=42", "49+63=112", "112-42=70" ]
Current State: 70:[18, 24, 49, 63], Operations: [] Exploring Operation: 18+24=42, Resulting Numbers: [49, 63, 42] Generated Node #2: [49, 63, 42] from Operation: 18+24=42 Current State: 70:[49, 63, 42], Operations: ['18+24=42'] Exploring Operation: 49+63=112, Resulting Numbers: [42, 112] Generated Node #3: [42, 112] from Operation: 49+63=112 Current State: 70:[42, 112], Operations: ['18+24=42', '49+63=112'] Exploring Operation: 112-42=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 15, 53, 37, 77 ]
71
[ "53+37=90", "90/15=6", "77-6=71" ]
Current State: 71:[15, 53, 37, 77], Operations: [] Exploring Operation: 53+37=90, Resulting Numbers: [15, 77, 90] Generated Node #2: [15, 77, 90] from Operation: 53+37=90 Current State: 71:[15, 77, 90], Operations: ['53+37=90'] Exploring Operation: 90/15=6, Resulting Numbers: [77, 6] Generated Node #3: [77, 6] from Operation: 90/15=6 Current State: 71:[77, 6], Operations: ['53+37=90', '90/15=6'] Exploring Operation: 77-6=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 75, 97, 89, 93 ]
43
[ "75+97=172", "93-89=4", "172/4=43" ]
Current State: 43:[75, 97, 89, 93], Operations: [] Exploring Operation: 75+97=172, Resulting Numbers: [89, 93, 172] Generated Node #2: [89, 93, 172] from Operation: 75+97=172 Current State: 43:[89, 93, 172], Operations: ['75+97=172'] Exploring Operation: 93-89=4, Resulting Numbers: [172, 4] Generated Node #3: [172, 4] from Operation: 93-89=4 Current State: 43:[172, 4], Operations: ['75+97=172', '93-89=4'] Exploring Operation: 172/4=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 6, 15, 74, 45 ]
61
[ "6*15=90", "74-45=29", "90-29=61" ]
Current State: 61:[6, 15, 74, 45], Operations: [] Exploring Operation: 6*15=90, Resulting Numbers: [74, 45, 90] Generated Node #2: [74, 45, 90] from Operation: 6*15=90 Current State: 61:[74, 45, 90], Operations: ['6*15=90'] Exploring Operation: 74-45=29, Resulting Numbers: [90, 29] Generated Node #3: [90, 29] from Operation: 74-45=29 Current State: 61:[90, 29], Operations: ['6*15=90', '74-45=29'] Exploring Operation: 90-29=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 44, 82, 47, 56 ]
86
[ "47-44=3", "56*3=168", "168-82=86" ]
Current State: 86:[44, 82, 47, 56], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [82, 56, 3] Generated Node #2: [82, 56, 3] from Operation: 47-44=3 Current State: 86:[82, 56, 3], Operations: ['47-44=3'] Exploring Operation: 56*3=168, Resulting Numbers: [82, 168] Generated Node #3: [82, 168] from Operation: 56*3=168 Current State: 86:[82, 168], Operations: ['47-44=3', '56*3=168'] Exploring Operation: 168-82=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 17, 48, 4, 7 ]
99
[ "17+4=21", "7*21=147", "147-48=99" ]
Current State: 99:[17, 48, 4, 7], Operations: [] Exploring Operation: 17+4=21, Resulting Numbers: [48, 7, 21] Generated Node #2: [48, 7, 21] from Operation: 17+4=21 Current State: 99:[48, 7, 21], Operations: ['17+4=21'] Exploring Operation: 7*21=147, Resulting Numbers: [48, 147] Generated Node #3: [48, 147] from Operation: 7*21=147 Current State: 99:[48, 147], Operations: ['17+4=21', '7*21=147'] Exploring Operation: 147-48=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 73, 24, 19, 62 ]
75
[ "62-24=38", "38/19=2", "73+2=75" ]
Current State: 75:[73, 24, 19, 62], Operations: [] Exploring Operation: 62-24=38, Resulting Numbers: [73, 19, 38] Generated Node #2: [73, 19, 38] from Operation: 62-24=38 Current State: 75:[73, 19, 38], Operations: ['62-24=38'] Exploring Operation: 38/19=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 38/19=2 Current State: 75:[73, 2], Operations: ['62-24=38', '38/19=2'] Exploring Operation: 73+2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 15, 87, 92, 54 ]
74
[ "87-15=72", "92+54=146", "146-72=74" ]
Current State: 74:[15, 87, 92, 54], Operations: [] Exploring Operation: 87-15=72, Resulting Numbers: [92, 54, 72] Generated Node #2: [92, 54, 72] from Operation: 87-15=72 Current State: 74:[92, 54, 72], Operations: ['87-15=72'] Exploring Operation: 92+54=146, Resulting Numbers: [72, 146] Generated Node #3: [72, 146] from Operation: 92+54=146 Current State: 74:[72, 146], Operations: ['87-15=72', '92+54=146'] Exploring Operation: 146-72=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 53, 96, 4, 78 ]
75
[ "53+96=149", "78-4=74", "149-74=75" ]
Current State: 75:[53, 96, 4, 78], Operations: [] Exploring Operation: 53+96=149, Resulting Numbers: [4, 78, 149] Generated Node #2: [4, 78, 149] from Operation: 53+96=149 Current State: 75:[4, 78, 149], Operations: ['53+96=149'] Exploring Operation: 78-4=74, Resulting Numbers: [149, 74] Generated Node #3: [149, 74] from Operation: 78-4=74 Current State: 75:[149, 74], Operations: ['53+96=149', '78-4=74'] Exploring Operation: 149-74=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 44, 63, 56, 43 ]
94
[ "44+63=107", "56-43=13", "107-13=94" ]
Current State: 94:[44, 63, 56, 43], Operations: [] Exploring Operation: 44+63=107, Resulting Numbers: [56, 43, 107] Generated Node #2: [56, 43, 107] from Operation: 44+63=107 Current State: 94:[56, 43, 107], Operations: ['44+63=107'] Exploring Operation: 56-43=13, Resulting Numbers: [107, 13] Generated Node #3: [107, 13] from Operation: 56-43=13 Current State: 94:[107, 13], Operations: ['44+63=107', '56-43=13'] Exploring Operation: 107-13=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 76, 86, 75, 89 ]
51
[ "89-86=3", "75/3=25", "76-25=51" ]
Current State: 51:[76, 86, 75, 89], Operations: [] Exploring Operation: 89-86=3, Resulting Numbers: [76, 75, 3] Generated Node #2: [76, 75, 3] from Operation: 89-86=3 Current State: 51:[76, 75, 3], Operations: ['89-86=3'] Exploring Operation: 75/3=25, Resulting Numbers: [76, 25] Generated Node #3: [76, 25] from Operation: 75/3=25 Current State: 51:[76, 25], Operations: ['89-86=3', '75/3=25'] Exploring Operation: 76-25=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 13, 36, 57, 49 ]
41
[ "13+36=49", "57-49=8", "49-8=41" ]
Current State: 41:[13, 36, 57, 49], Operations: [] Exploring Operation: 13+36=49, Resulting Numbers: [57, 49, 49] Generated Node #2: [57, 49, 49] from Operation: 13+36=49 Current State: 41:[57, 49, 49], Operations: ['13+36=49'] Exploring Operation: 57-49=8, Resulting Numbers: [8] 8,41 equal: Goal Reached Exploring Operation: 49-8=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 14, 96, 58, 27 ]
79
[ "14+96=110", "58-27=31", "110-31=79" ]
Current State: 79:[14, 96, 58, 27], Operations: [] Exploring Operation: 14+96=110, Resulting Numbers: [58, 27, 110] Generated Node #2: [58, 27, 110] from Operation: 14+96=110 Current State: 79:[58, 27, 110], Operations: ['14+96=110'] Exploring Operation: 58-27=31, Resulting Numbers: [110, 31] Generated Node #3: [110, 31] from Operation: 58-27=31 Current State: 79:[110, 31], Operations: ['14+96=110', '58-27=31'] Exploring Operation: 110-31=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 10, 93, 20, 15 ]
43
[ "20-15=5", "10*5=50", "93-50=43" ]
Current State: 43:[10, 93, 20, 15], Operations: [] Exploring Operation: 20-15=5, Resulting Numbers: [10, 93, 5] Generated Node #2: [10, 93, 5] from Operation: 20-15=5 Current State: 43:[10, 93, 5], Operations: ['20-15=5'] Exploring Operation: 10*5=50, Resulting Numbers: [93, 50] Generated Node #3: [93, 50] from Operation: 10*5=50 Current State: 43:[93, 50], Operations: ['20-15=5', '10*5=50'] Exploring Operation: 93-50=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 5, 78, 32, 75 ]
91
[ "78-75=3", "32*3=96", "96-5=91" ]
Current State: 91:[5, 78, 32, 75], Operations: [] Exploring Operation: 78-75=3, Resulting Numbers: [5, 32, 3] Generated Node #2: [5, 32, 3] from Operation: 78-75=3 Current State: 91:[5, 32, 3], Operations: ['78-75=3'] Exploring Operation: 32*3=96, Resulting Numbers: [5, 96] Generated Node #3: [5, 96] from Operation: 32*3=96 Current State: 91:[5, 96], Operations: ['78-75=3', '32*3=96'] Exploring Operation: 96-5=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 55, 11, 50, 23 ]
32
[ "55/11=5", "50-23=27", "5+27=32" ]
Current State: 32:[55, 11, 50, 23], Operations: [] Exploring Operation: 55/11=5, Resulting Numbers: [50, 23, 5] Generated Node #2: [50, 23, 5] from Operation: 55/11=5 Current State: 32:[50, 23, 5], Operations: ['55/11=5'] Exploring Operation: 50-23=27, Resulting Numbers: [5, 27] Generated Node #3: [5, 27] from Operation: 50-23=27 Current State: 32:[5, 27], Operations: ['55/11=5', '50-23=27'] Exploring Operation: 5+27=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 14, 18, 13, 70 ]
53
[ "18-14=4", "70-13=57", "57-4=53" ]
Current State: 53:[14, 18, 13, 70], Operations: [] Exploring Operation: 18-14=4, Resulting Numbers: [13, 70, 4] Generated Node #2: [13, 70, 4] from Operation: 18-14=4 Current State: 53:[13, 70, 4], Operations: ['18-14=4'] Exploring Operation: 70-13=57, Resulting Numbers: [4, 57] Generated Node #3: [4, 57] from Operation: 70-13=57 Current State: 53:[4, 57], Operations: ['18-14=4', '70-13=57'] Exploring Operation: 57-4=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 6, 32, 4, 27 ]
49
[ "32-6=26", "27-4=23", "26+23=49" ]
Current State: 49:[6, 32, 4, 27], Operations: [] Exploring Operation: 32-6=26, Resulting Numbers: [4, 27, 26] Generated Node #2: [4, 27, 26] from Operation: 32-6=26 Current State: 49:[4, 27, 26], Operations: ['32-6=26'] Exploring Operation: 27-4=23, Resulting Numbers: [26, 23] Generated Node #3: [26, 23] from Operation: 27-4=23 Current State: 49:[26, 23], Operations: ['32-6=26', '27-4=23'] Exploring Operation: 26+23=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 5, 98, 83, 67 ]
57
[ "98-5=93", "83+67=150", "150-93=57" ]
Current State: 57:[5, 98, 83, 67], Operations: [] Exploring Operation: 98-5=93, Resulting Numbers: [83, 67, 93] Generated Node #2: [83, 67, 93] from Operation: 98-5=93 Current State: 57:[83, 67, 93], Operations: ['98-5=93'] Exploring Operation: 83+67=150, Resulting Numbers: [93, 150] Generated Node #3: [93, 150] from Operation: 83+67=150 Current State: 57:[93, 150], Operations: ['98-5=93', '83+67=150'] Exploring Operation: 150-93=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 2, 82, 29, 70 ]
53
[ "82-70=12", "2*12=24", "29+24=53" ]
Current State: 53:[2, 82, 29, 70], Operations: [] Exploring Operation: 82-70=12, Resulting Numbers: [2, 29, 12] Generated Node #2: [2, 29, 12] from Operation: 82-70=12 Current State: 53:[2, 29, 12], Operations: ['82-70=12'] Exploring Operation: 2*12=24, Resulting Numbers: [29, 24] Generated Node #3: [29, 24] from Operation: 2*12=24 Current State: 53:[29, 24], Operations: ['82-70=12', '2*12=24'] Exploring Operation: 29+24=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 53, 55, 58, 26 ]
42
[ "55-53=2", "58+26=84", "84/2=42" ]
Current State: 42:[53, 55, 58, 26], Operations: [] Exploring Operation: 55-53=2, Resulting Numbers: [58, 26, 2] Generated Node #2: [58, 26, 2] from Operation: 55-53=2 Current State: 42:[58, 26, 2], Operations: ['55-53=2'] Exploring Operation: 58+26=84, Resulting Numbers: [2, 84] Generated Node #3: [2, 84] from Operation: 58+26=84 Current State: 42:[2, 84], Operations: ['55-53=2', '58+26=84'] Exploring Operation: 84/2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 23, 92, 91, 65 ]
43
[ "92-23=69", "91-65=26", "69-26=43" ]
Current State: 43:[23, 92, 91, 65], Operations: [] Exploring Operation: 92-23=69, Resulting Numbers: [91, 65, 69] Generated Node #2: [91, 65, 69] from Operation: 92-23=69 Current State: 43:[91, 65, 69], Operations: ['92-23=69'] Exploring Operation: 91-65=26, Resulting Numbers: [69, 26] Generated Node #3: [69, 26] from Operation: 91-65=26 Current State: 43:[69, 26], Operations: ['92-23=69', '91-65=26'] Exploring Operation: 69-26=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 72, 31, 2, 37 ]
33
[ "72+31=103", "103-37=66", "66/2=33" ]
Current State: 33:[72, 31, 2, 37], Operations: [] Exploring Operation: 72+31=103, Resulting Numbers: [2, 37, 103] Generated Node #2: [2, 37, 103] from Operation: 72+31=103 Current State: 33:[2, 37, 103], Operations: ['72+31=103'] Exploring Operation: 103-37=66, Resulting Numbers: [2, 66] Generated Node #3: [2, 66] from Operation: 103-37=66 Current State: 33:[2, 66], Operations: ['72+31=103', '103-37=66'] Exploring Operation: 66/2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 15, 21, 86, 28 ]
78
[ "15+21=36", "86+28=114", "114-36=78" ]
Current State: 78:[15, 21, 86, 28], Operations: [] Exploring Operation: 15+21=36, Resulting Numbers: [86, 28, 36] Generated Node #2: [86, 28, 36] from Operation: 15+21=36 Current State: 78:[86, 28, 36], Operations: ['15+21=36'] Exploring Operation: 86+28=114, Resulting Numbers: [36, 114] Generated Node #3: [36, 114] from Operation: 86+28=114 Current State: 78:[36, 114], Operations: ['15+21=36', '86+28=114'] Exploring Operation: 114-36=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 61, 63, 97, 36 ]
59
[ "63-61=2", "97-36=61", "61-2=59" ]
Current State: 59:[61, 63, 97, 36], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [97, 36, 2] Generated Node #2: [97, 36, 2] from Operation: 63-61=2 Current State: 59:[97, 36, 2], Operations: ['63-61=2'] Exploring Operation: 97-36=61, Resulting Numbers: [2, 61] Generated Node #3: [2, 61] from Operation: 97-36=61 Current State: 59:[2, 61], Operations: ['63-61=2', '97-36=61'] Exploring Operation: 61-2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 58, 3, 66, 85 ]
13
[ "58+66=124", "124-85=39", "39/3=13" ]
Current State: 13:[58, 3, 66, 85], Operations: [] Exploring Operation: 58+66=124, Resulting Numbers: [3, 85, 124] Generated Node #2: [3, 85, 124] from Operation: 58+66=124 Current State: 13:[3, 85, 124], Operations: ['58+66=124'] Exploring Operation: 124-85=39, Resulting Numbers: [3, 39] Generated Node #3: [3, 39] from Operation: 124-85=39 Current State: 13:[3, 39], Operations: ['58+66=124', '124-85=39'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 13, 36, 11, 4 ]
86
[ "36*11=396", "396/4=99", "99-13=86" ]
Current State: 86:[13, 36, 11, 4], Operations: [] Exploring Operation: 36*11=396, Resulting Numbers: [13, 4, 396] Generated Node #2: [13, 4, 396] from Operation: 36*11=396 Current State: 86:[13, 4, 396], Operations: ['36*11=396'] Exploring Operation: 396/4=99, Resulting Numbers: [13, 99] Generated Node #3: [13, 99] from Operation: 396/4=99 Current State: 86:[13, 99], Operations: ['36*11=396', '396/4=99'] Exploring Operation: 99-13=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 62, 64, 98, 80 ]
10
[ "62+98=160", "80-64=16", "160/16=10" ]
Current State: 10:[62, 64, 98, 80], Operations: [] Exploring Operation: 62+98=160, Resulting Numbers: [64, 80, 160] Generated Node #2: [64, 80, 160] from Operation: 62+98=160 Current State: 10:[64, 80, 160], Operations: ['62+98=160'] Exploring Operation: 80-64=16, Resulting Numbers: [160, 16] Generated Node #3: [160, 16] from Operation: 80-64=16 Current State: 10:[160, 16], Operations: ['62+98=160', '80-64=16'] Exploring Operation: 160/16=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 14, 83, 65, 80 ]
76
[ "83-14=69", "65+80=145", "145-69=76" ]
Current State: 76:[14, 83, 65, 80], Operations: [] Exploring Operation: 83-14=69, Resulting Numbers: [65, 80, 69] Generated Node #2: [65, 80, 69] from Operation: 83-14=69 Current State: 76:[65, 80, 69], Operations: ['83-14=69'] Exploring Operation: 65+80=145, Resulting Numbers: [69, 145] Generated Node #3: [69, 145] from Operation: 65+80=145 Current State: 76:[69, 145], Operations: ['83-14=69', '65+80=145'] Exploring Operation: 145-69=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 43, 4, 73, 80 ]
46
[ "43-4=39", "80-73=7", "39+7=46" ]
Current State: 46:[43, 4, 73, 80], Operations: [] Exploring Operation: 43-4=39, Resulting Numbers: [73, 80, 39] Generated Node #2: [73, 80, 39] from Operation: 43-4=39 Current State: 46:[73, 80, 39], Operations: ['43-4=39'] Exploring Operation: 80-73=7, Resulting Numbers: [39, 7] Generated Node #3: [39, 7] from Operation: 80-73=7 Current State: 46:[39, 7], Operations: ['43-4=39', '80-73=7'] Exploring Operation: 39+7=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 39, 48, 20, 27 ]
38
[ "48-39=9", "20+27=47", "47-9=38" ]
Current State: 38:[39, 48, 20, 27], Operations: [] Exploring Operation: 48-39=9, Resulting Numbers: [20, 27, 9] Generated Node #2: [20, 27, 9] from Operation: 48-39=9 Current State: 38:[20, 27, 9], Operations: ['48-39=9'] Exploring Operation: 20+27=47, Resulting Numbers: [9, 47] Generated Node #3: [9, 47] from Operation: 20+27=47 Current State: 38:[9, 47], Operations: ['48-39=9', '20+27=47'] Exploring Operation: 47-9=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 89, 13, 2, 82 ]
40
[ "89+13=102", "102-82=20", "2*20=40" ]
Current State: 40:[89, 13, 2, 82], Operations: [] Exploring Operation: 89+13=102, Resulting Numbers: [2, 82, 102] Generated Node #2: [2, 82, 102] from Operation: 89+13=102 Current State: 40:[2, 82, 102], Operations: ['89+13=102'] Exploring Operation: 102-82=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 102-82=20 Current State: 40:[2, 20], Operations: ['89+13=102', '102-82=20'] Exploring Operation: 2*20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 14, 28, 4, 87 ]
95
[ "28/14=2", "4*2=8", "87+8=95" ]
Current State: 95:[14, 28, 4, 87], Operations: [] Exploring Operation: 28/14=2, Resulting Numbers: [4, 87, 2] Generated Node #2: [4, 87, 2] from Operation: 28/14=2 Current State: 95:[4, 87, 2], Operations: ['28/14=2'] Exploring Operation: 4*2=8, Resulting Numbers: [87, 8] Generated Node #3: [87, 8] from Operation: 4*2=8 Current State: 95:[87, 8], Operations: ['28/14=2', '4*2=8'] Exploring Operation: 87+8=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 94, 50, 13, 75 ]
56
[ "94+50=144", "13+75=88", "144-88=56" ]
Current State: 56:[94, 50, 13, 75], Operations: [] Exploring Operation: 94+50=144, Resulting Numbers: [13, 75, 144] Generated Node #2: [13, 75, 144] from Operation: 94+50=144 Current State: 56:[13, 75, 144], Operations: ['94+50=144'] Exploring Operation: 13+75=88, Resulting Numbers: [144, 88] Generated Node #3: [144, 88] from Operation: 13+75=88 Current State: 56:[144, 88], Operations: ['94+50=144', '13+75=88'] Exploring Operation: 144-88=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 34, 97, 73, 3 ]
78
[ "34*3=102", "97-73=24", "102-24=78" ]
Current State: 78:[34, 97, 73, 3], Operations: [] Exploring Operation: 34*3=102, Resulting Numbers: [97, 73, 102] Generated Node #2: [97, 73, 102] from Operation: 34*3=102 Current State: 78:[97, 73, 102], Operations: ['34*3=102'] Exploring Operation: 97-73=24, Resulting Numbers: [102, 24] Generated Node #3: [102, 24] from Operation: 97-73=24 Current State: 78:[102, 24], Operations: ['34*3=102', '97-73=24'] Exploring Operation: 102-24=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 61, 55, 3, 82 ]
52
[ "82-55=27", "27/3=9", "61-9=52" ]
Current State: 52:[61, 55, 3, 82], Operations: [] Exploring Operation: 82-55=27, Resulting Numbers: [61, 3, 27] Generated Node #2: [61, 3, 27] from Operation: 82-55=27 Current State: 52:[61, 3, 27], Operations: ['82-55=27'] Exploring Operation: 27/3=9, Resulting Numbers: [61, 9] Generated Node #3: [61, 9] from Operation: 27/3=9 Current State: 52:[61, 9], Operations: ['82-55=27', '27/3=9'] Exploring Operation: 61-9=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 76, 96, 78, 18 ]
40
[ "96-76=20", "78-18=60", "60-20=40" ]
Current State: 40:[76, 96, 78, 18], Operations: [] Exploring Operation: 96-76=20, Resulting Numbers: [78, 18, 20] Generated Node #2: [78, 18, 20] from Operation: 96-76=20 Current State: 40:[78, 18, 20], Operations: ['96-76=20'] Exploring Operation: 78-18=60, Resulting Numbers: [20, 60] Generated Node #3: [20, 60] from Operation: 78-18=60 Current State: 40:[20, 60], Operations: ['96-76=20', '78-18=60'] Exploring Operation: 60-20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 48, 17, 27, 15 ]
73
[ "48-17=31", "27+15=42", "31+42=73" ]
Current State: 73:[48, 17, 27, 15], Operations: [] Exploring Operation: 48-17=31, Resulting Numbers: [27, 15, 31] Generated Node #2: [27, 15, 31] from Operation: 48-17=31 Current State: 73:[27, 15, 31], Operations: ['48-17=31'] Exploring Operation: 27+15=42, Resulting Numbers: [31, 42] Generated Node #3: [31, 42] from Operation: 27+15=42 Current State: 73:[31, 42], Operations: ['48-17=31', '27+15=42'] Exploring Operation: 31+42=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 39, 77, 11, 81 ]
54
[ "77-39=38", "11+81=92", "92-38=54" ]
Current State: 54:[39, 77, 11, 81], Operations: [] Exploring Operation: 77-39=38, Resulting Numbers: [11, 81, 38] Generated Node #2: [11, 81, 38] from Operation: 77-39=38 Current State: 54:[11, 81, 38], Operations: ['77-39=38'] Exploring Operation: 11+81=92, Resulting Numbers: [38, 92] Generated Node #3: [38, 92] from Operation: 11+81=92 Current State: 54:[38, 92], Operations: ['77-39=38', '11+81=92'] Exploring Operation: 92-38=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 59, 16, 2, 91 ]
67
[ "59-16=43", "91+43=134", "134/2=67" ]
Current State: 67:[59, 16, 2, 91], Operations: [] Exploring Operation: 59-16=43, Resulting Numbers: [2, 91, 43] Generated Node #2: [2, 91, 43] from Operation: 59-16=43 Current State: 67:[2, 91, 43], Operations: ['59-16=43'] Exploring Operation: 91+43=134, Resulting Numbers: [2, 134] Generated Node #3: [2, 134] from Operation: 91+43=134 Current State: 67:[2, 134], Operations: ['59-16=43', '91+43=134'] Exploring Operation: 134/2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 64, 89, 71, 81 ]
79
[ "89-81=8", "64/8=8", "71+8=79" ]
Current State: 79:[64, 89, 71, 81], Operations: [] Exploring Operation: 89-81=8, Resulting Numbers: [64, 71, 8] Generated Node #2: [64, 71, 8] from Operation: 89-81=8 Current State: 79:[64, 71, 8], Operations: ['89-81=8'] Exploring Operation: 64/8=8, Resulting Numbers: [71, 8] Generated Node #3: [71, 8] from Operation: 64/8=8 Current State: 79:[71, 8], Operations: ['89-81=8', '64/8=8'] Exploring Operation: 71+8=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 1, 30, 60, 27 ]
57
[ "1*30=30", "60+27=87", "87-30=57" ]
Current State: 57:[1, 30, 60, 27], Operations: [] Exploring Operation: 1*30=30, Resulting Numbers: [60, 27, 30] Generated Node #2: [60, 27, 30] from Operation: 1*30=30 Current State: 57:[60, 27, 30], Operations: ['1*30=30'] Exploring Operation: 60+27=87, Resulting Numbers: [30, 87] Generated Node #3: [30, 87] from Operation: 60+27=87 Current State: 57:[30, 87], Operations: ['1*30=30', '60+27=87'] Exploring Operation: 87-30=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 5, 54, 64, 30 ]
73
[ "5*54=270", "270/30=9", "64+9=73" ]
Current State: 73:[5, 54, 64, 30], Operations: [] Exploring Operation: 5*54=270, Resulting Numbers: [64, 30, 270] Generated Node #2: [64, 30, 270] from Operation: 5*54=270 Current State: 73:[64, 30, 270], Operations: ['5*54=270'] Exploring Operation: 270/30=9, Resulting Numbers: [64, 9] Generated Node #3: [64, 9] from Operation: 270/30=9 Current State: 73:[64, 9], Operations: ['5*54=270', '270/30=9'] Exploring Operation: 64+9=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 36, 41, 2, 72 ]
69
[ "41-36=5", "2+72=74", "74-5=69" ]
Current State: 69:[36, 41, 2, 72], Operations: [] Exploring Operation: 41-36=5, Resulting Numbers: [2, 72, 5] Generated Node #2: [2, 72, 5] from Operation: 41-36=5 Current State: 69:[2, 72, 5], Operations: ['41-36=5'] Exploring Operation: 2+72=74, Resulting Numbers: [5, 74] Generated Node #3: [5, 74] from Operation: 2+72=74 Current State: 69:[5, 74], Operations: ['41-36=5', '2+72=74'] Exploring Operation: 74-5=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 22, 92, 2, 45 ]
23
[ "92-22=70", "2+45=47", "70-47=23" ]
Current State: 23:[22, 92, 2, 45], Operations: [] Exploring Operation: 92-22=70, Resulting Numbers: [2, 45, 70] Generated Node #2: [2, 45, 70] from Operation: 92-22=70 Current State: 23:[2, 45, 70], Operations: ['92-22=70'] Exploring Operation: 2+45=47, Resulting Numbers: [70, 47] Generated Node #3: [70, 47] from Operation: 2+45=47 Current State: 23:[70, 47], Operations: ['92-22=70', '2+45=47'] Exploring Operation: 70-47=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 21, 8, 75, 5 ]
82
[ "8-5=3", "21/3=7", "75+7=82" ]
Current State: 82:[21, 8, 75, 5], Operations: [] Exploring Operation: 8-5=3, Resulting Numbers: [21, 75, 3] Generated Node #2: [21, 75, 3] from Operation: 8-5=3 Current State: 82:[21, 75, 3], Operations: ['8-5=3'] Exploring Operation: 21/3=7, Resulting Numbers: [75, 7] Generated Node #3: [75, 7] from Operation: 21/3=7 Current State: 82:[75, 7], Operations: ['8-5=3', '21/3=7'] Exploring Operation: 75+7=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 55, 81, 74, 22 ]
78
[ "81-55=26", "74-22=52", "26+52=78" ]
Current State: 78:[55, 81, 74, 22], Operations: [] Exploring Operation: 81-55=26, Resulting Numbers: [74, 22, 26] Generated Node #2: [74, 22, 26] from Operation: 81-55=26 Current State: 78:[74, 22, 26], Operations: ['81-55=26'] Exploring Operation: 74-22=52, Resulting Numbers: [26, 52] Generated Node #3: [26, 52] from Operation: 74-22=52 Current State: 78:[26, 52], Operations: ['81-55=26', '74-22=52'] Exploring Operation: 26+52=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 20, 8, 50, 74 ]
94
[ "8*50=400", "400/20=20", "74+20=94" ]
Current State: 94:[20, 8, 50, 74], Operations: [] Exploring Operation: 8*50=400, Resulting Numbers: [20, 74, 400] Generated Node #2: [20, 74, 400] from Operation: 8*50=400 Current State: 94:[20, 74, 400], Operations: ['8*50=400'] Exploring Operation: 400/20=20, Resulting Numbers: [74, 20] Generated Node #3: [74, 20] from Operation: 400/20=20 Current State: 94:[74, 20], Operations: ['8*50=400', '400/20=20'] Exploring Operation: 74+20=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 76, 55, 10, 57 ]
68
[ "76-55=21", "57-10=47", "21+47=68" ]
Current State: 68:[76, 55, 10, 57], Operations: [] Exploring Operation: 76-55=21, Resulting Numbers: [10, 57, 21] Generated Node #2: [10, 57, 21] from Operation: 76-55=21 Current State: 68:[10, 57, 21], Operations: ['76-55=21'] Exploring Operation: 57-10=47, Resulting Numbers: [21, 47] Generated Node #3: [21, 47] from Operation: 57-10=47 Current State: 68:[21, 47], Operations: ['76-55=21', '57-10=47'] Exploring Operation: 21+47=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 38, 90, 19, 15 ]
48
[ "90-38=52", "19-15=4", "52-4=48" ]
Current State: 48:[38, 90, 19, 15], Operations: [] Exploring Operation: 90-38=52, Resulting Numbers: [19, 15, 52] Generated Node #2: [19, 15, 52] from Operation: 90-38=52 Current State: 48:[19, 15, 52], Operations: ['90-38=52'] Exploring Operation: 19-15=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 19-15=4 Current State: 48:[52, 4], Operations: ['90-38=52', '19-15=4'] Exploring Operation: 52-4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 25, 22, 11, 62 ]
54
[ "25-22=3", "62-11=51", "3+51=54" ]
Current State: 54:[25, 22, 11, 62], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [11, 62, 3] Generated Node #2: [11, 62, 3] from Operation: 25-22=3 Current State: 54:[11, 62, 3], Operations: ['25-22=3'] Exploring Operation: 62-11=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 62-11=51 Current State: 54:[3, 51], Operations: ['25-22=3', '62-11=51'] Exploring Operation: 3+51=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 63, 74, 67, 13 ]
69
[ "74-63=11", "67+13=80", "80-11=69" ]
Current State: 69:[63, 74, 67, 13], Operations: [] Exploring Operation: 74-63=11, Resulting Numbers: [67, 13, 11] Generated Node #2: [67, 13, 11] from Operation: 74-63=11 Current State: 69:[67, 13, 11], Operations: ['74-63=11'] Exploring Operation: 67+13=80, Resulting Numbers: [11, 80] Generated Node #3: [11, 80] from Operation: 67+13=80 Current State: 69:[11, 80], Operations: ['74-63=11', '67+13=80'] Exploring Operation: 80-11=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 15, 40, 7, 20 ]
42
[ "15+40=55", "20-7=13", "55-13=42" ]
Current State: 42:[15, 40, 7, 20], Operations: [] Exploring Operation: 15+40=55, Resulting Numbers: [7, 20, 55] Generated Node #2: [7, 20, 55] from Operation: 15+40=55 Current State: 42:[7, 20, 55], Operations: ['15+40=55'] Exploring Operation: 20-7=13, Resulting Numbers: [55, 13] Generated Node #3: [55, 13] from Operation: 20-7=13 Current State: 42:[55, 13], Operations: ['15+40=55', '20-7=13'] Exploring Operation: 55-13=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 10, 8, 91, 15 ]
94
[ "10+8=18", "91-15=76", "18+76=94" ]
Current State: 94:[10, 8, 91, 15], Operations: [] Exploring Operation: 10+8=18, Resulting Numbers: [91, 15, 18] Generated Node #2: [91, 15, 18] from Operation: 10+8=18 Current State: 94:[91, 15, 18], Operations: ['10+8=18'] Exploring Operation: 91-15=76, Resulting Numbers: [18, 76] Generated Node #3: [18, 76] from Operation: 91-15=76 Current State: 94:[18, 76], Operations: ['10+8=18', '91-15=76'] Exploring Operation: 18+76=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 48, 74, 37, 56 ]
80
[ "48*37=1776", "1776/74=24", "56+24=80" ]
Current State: 80:[48, 74, 37, 56], Operations: [] Exploring Operation: 48*37=1776, Resulting Numbers: [74, 56, 1776] Generated Node #2: [74, 56, 1776] from Operation: 48*37=1776 Current State: 80:[74, 56, 1776], Operations: ['48*37=1776'] Exploring Operation: 1776/74=24, Resulting Numbers: [56, 24] Generated Node #3: [56, 24] from Operation: 1776/74=24 Current State: 80:[56, 24], Operations: ['48*37=1776', '1776/74=24'] Exploring Operation: 56+24=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 50, 89, 51, 43 ]
10
[ "89-51=38", "43-38=5", "50/5=10" ]
Current State: 10:[50, 89, 51, 43], Operations: [] Exploring Operation: 89-51=38, Resulting Numbers: [50, 43, 38] Generated Node #2: [50, 43, 38] from Operation: 89-51=38 Current State: 10:[50, 43, 38], Operations: ['89-51=38'] Exploring Operation: 43-38=5, Resulting Numbers: [50, 5] Generated Node #3: [50, 5] from Operation: 43-38=5 Current State: 10:[50, 5], Operations: ['89-51=38', '43-38=5'] Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 97, 28, 70, 56 ]
99
[ "70-56=14", "28/14=2", "97+2=99" ]
Current State: 99:[97, 28, 70, 56], Operations: [] Exploring Operation: 70-56=14, Resulting Numbers: [97, 28, 14] Generated Node #2: [97, 28, 14] from Operation: 70-56=14 Current State: 99:[97, 28, 14], Operations: ['70-56=14'] Exploring Operation: 28/14=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 28/14=2 Current State: 99:[97, 2], Operations: ['70-56=14', '28/14=2'] Exploring Operation: 97+2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 71, 7, 20, 73 ]
15
[ "71+7=78", "20+73=93", "93-78=15" ]
Current State: 15:[71, 7, 20, 73], Operations: [] Exploring Operation: 71+7=78, Resulting Numbers: [20, 73, 78] Generated Node #2: [20, 73, 78] from Operation: 71+7=78 Current State: 15:[20, 73, 78], Operations: ['71+7=78'] Exploring Operation: 20+73=93, Resulting Numbers: [78, 93] Generated Node #3: [78, 93] from Operation: 20+73=93 Current State: 15:[78, 93], Operations: ['71+7=78', '20+73=93'] Exploring Operation: 93-78=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 75, 85, 2, 37 ]
84
[ "85-75=10", "2*37=74", "10+74=84" ]
Current State: 84:[75, 85, 2, 37], Operations: [] Exploring Operation: 85-75=10, Resulting Numbers: [2, 37, 10] Generated Node #2: [2, 37, 10] from Operation: 85-75=10 Current State: 84:[2, 37, 10], Operations: ['85-75=10'] Exploring Operation: 2*37=74, Resulting Numbers: [10, 74] Generated Node #3: [10, 74] from Operation: 2*37=74 Current State: 84:[10, 74], Operations: ['85-75=10', '2*37=74'] Exploring Operation: 10+74=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 33, 40, 32, 56 ]
15
[ "33+40=73", "32+56=88", "88-73=15" ]
Current State: 15:[33, 40, 32, 56], Operations: [] Exploring Operation: 33+40=73, Resulting Numbers: [32, 56, 73] Generated Node #2: [32, 56, 73] from Operation: 33+40=73 Current State: 15:[32, 56, 73], Operations: ['33+40=73'] Exploring Operation: 32+56=88, Resulting Numbers: [73, 88] Generated Node #3: [73, 88] from Operation: 32+56=88 Current State: 15:[73, 88], Operations: ['33+40=73', '32+56=88'] Exploring Operation: 88-73=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 74, 34, 29, 44 ]
33
[ "74-34=40", "29+44=73", "73-40=33" ]
Current State: 33:[74, 34, 29, 44], Operations: [] Exploring Operation: 74-34=40, Resulting Numbers: [29, 44, 40] Generated Node #2: [29, 44, 40] from Operation: 74-34=40 Current State: 33:[29, 44, 40], Operations: ['74-34=40'] Exploring Operation: 29+44=73, Resulting Numbers: [40, 73] Generated Node #3: [40, 73] from Operation: 29+44=73 Current State: 33:[40, 73], Operations: ['74-34=40', '29+44=73'] Exploring Operation: 73-40=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 3, 38, 33, 82 ]
80
[ "38-3=35", "33+82=115", "115-35=80" ]
Current State: 80:[3, 38, 33, 82], Operations: [] Exploring Operation: 38-3=35, Resulting Numbers: [33, 82, 35] Generated Node #2: [33, 82, 35] from Operation: 38-3=35 Current State: 80:[33, 82, 35], Operations: ['38-3=35'] Exploring Operation: 33+82=115, Resulting Numbers: [35, 115] Generated Node #3: [35, 115] from Operation: 33+82=115 Current State: 80:[35, 115], Operations: ['38-3=35', '33+82=115'] Exploring Operation: 115-35=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 99, 39, 15, 54 ]
36
[ "99-54=45", "45/15=3", "39-3=36" ]
Current State: 36:[99, 39, 15, 54], Operations: [] Exploring Operation: 99-54=45, Resulting Numbers: [39, 15, 45] Generated Node #2: [39, 15, 45] from Operation: 99-54=45 Current State: 36:[39, 15, 45], Operations: ['99-54=45'] Exploring Operation: 45/15=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 45/15=3 Current State: 36:[39, 3], Operations: ['99-54=45', '45/15=3'] Exploring Operation: 39-3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 69, 21, 18, 78 ]
30
[ "69+21=90", "78-18=60", "90-60=30" ]
Current State: 30:[69, 21, 18, 78], Operations: [] Exploring Operation: 69+21=90, Resulting Numbers: [18, 78, 90] Generated Node #2: [18, 78, 90] from Operation: 69+21=90 Current State: 30:[18, 78, 90], Operations: ['69+21=90'] Exploring Operation: 78-18=60, Resulting Numbers: [90, 60] Generated Node #3: [90, 60] from Operation: 78-18=60 Current State: 30:[90, 60], Operations: ['69+21=90', '78-18=60'] Exploring Operation: 90-60=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 79, 25, 72, 36 ]
56
[ "79-25=54", "72/36=2", "54+2=56" ]
Current State: 56:[79, 25, 72, 36], Operations: [] Exploring Operation: 79-25=54, Resulting Numbers: [72, 36, 54] Generated Node #2: [72, 36, 54] from Operation: 79-25=54 Current State: 56:[72, 36, 54], Operations: ['79-25=54'] Exploring Operation: 72/36=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 72/36=2 Current State: 56:[54, 2], Operations: ['79-25=54', '72/36=2'] Exploring Operation: 54+2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 5, 4, 66, 55 ]
31
[ "5*4=20", "66-55=11", "20+11=31" ]
Current State: 31:[5, 4, 66, 55], Operations: [] Exploring Operation: 5*4=20, Resulting Numbers: [66, 55, 20] Generated Node #2: [66, 55, 20] from Operation: 5*4=20 Current State: 31:[66, 55, 20], Operations: ['5*4=20'] Exploring Operation: 66-55=11, Resulting Numbers: [20, 11] Generated Node #3: [20, 11] from Operation: 66-55=11 Current State: 31:[20, 11], Operations: ['5*4=20', '66-55=11'] Exploring Operation: 20+11=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 5, 35, 2, 44 ]
59
[ "35-5=30", "30/2=15", "44+15=59" ]
Current State: 59:[5, 35, 2, 44], Operations: [] Exploring Operation: 35-5=30, Resulting Numbers: [2, 44, 30] Generated Node #2: [2, 44, 30] from Operation: 35-5=30 Current State: 59:[2, 44, 30], Operations: ['35-5=30'] Exploring Operation: 30/2=15, Resulting Numbers: [44, 15] Generated Node #3: [44, 15] from Operation: 30/2=15 Current State: 59:[44, 15], Operations: ['35-5=30', '30/2=15'] Exploring Operation: 44+15=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 8, 91, 86, 89 ]
51
[ "91-89=2", "86/2=43", "8+43=51" ]
Current State: 51:[8, 91, 86, 89], Operations: [] Exploring Operation: 91-89=2, Resulting Numbers: [8, 86, 2] Generated Node #2: [8, 86, 2] from Operation: 91-89=2 Current State: 51:[8, 86, 2], Operations: ['91-89=2'] Exploring Operation: 86/2=43, Resulting Numbers: [8, 43] Generated Node #3: [8, 43] from Operation: 86/2=43 Current State: 51:[8, 43], Operations: ['91-89=2', '86/2=43'] Exploring Operation: 8+43=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 25, 17, 89, 90 ]
12
[ "25+89=114", "90+114=204", "204/17=12" ]
Current State: 12:[25, 17, 89, 90], Operations: [] Exploring Operation: 25+89=114, Resulting Numbers: [17, 90, 114] Generated Node #2: [17, 90, 114] from Operation: 25+89=114 Current State: 12:[17, 90, 114], Operations: ['25+89=114'] Exploring Operation: 90+114=204, Resulting Numbers: [17, 204] Generated Node #3: [17, 204] from Operation: 90+114=204 Current State: 12:[17, 204], Operations: ['25+89=114', '90+114=204'] Exploring Operation: 204/17=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 40, 13, 9, 54 ]
56
[ "54-40=14", "13-9=4", "14*4=56" ]
Current State: 56:[40, 13, 9, 54], Operations: [] Exploring Operation: 54-40=14, Resulting Numbers: [13, 9, 14] Generated Node #2: [13, 9, 14] from Operation: 54-40=14 Current State: 56:[13, 9, 14], Operations: ['54-40=14'] Exploring Operation: 13-9=4, Resulting Numbers: [14, 4] Generated Node #3: [14, 4] from Operation: 13-9=4 Current State: 56:[14, 4], Operations: ['54-40=14', '13-9=4'] Exploring Operation: 14*4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4