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
[ 68, 90, 94, 63 ]
80
[ "94-90=4", "68/4=17", "63+17=80" ]
Current State: 80:[68, 90, 94, 63], Operations: [] Exploring Operation: 94-90=4, Resulting Numbers: [68, 63, 4] Generated Node #2: [68, 63, 4] from Operation: 94-90=4 Current State: 80:[68, 63, 4], Operations: ['94-90=4'] Exploring Operation: 68/4=17, Resulting Numbers: [63, 17] Generated Node #3: [63, 17] from Operation: 68/4=17 Current State: 80:[63, 17], Operations: ['94-90=4', '68/4=17'] Exploring Operation: 63+17=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 4, 37, 88, 86 ]
66
[ "37-4=33", "88-86=2", "33*2=66" ]
Current State: 66:[4, 37, 88, 86], Operations: [] Exploring Operation: 37-4=33, Resulting Numbers: [88, 86, 33] Generated Node #2: [88, 86, 33] from Operation: 37-4=33 Current State: 66:[88, 86, 33], Operations: ['37-4=33'] Exploring Operation: 88-86=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 88-86=2 Current State: 66:[33, 2], Operations: ['37-4=33', '88-86=2'] Exploring Operation: 33*2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 12, 66, 72, 4 ]
42
[ "72/12=6", "4*6=24", "66-24=42" ]
Current State: 42:[12, 66, 72, 4], Operations: [] Exploring Operation: 72/12=6, Resulting Numbers: [66, 4, 6] Generated Node #2: [66, 4, 6] from Operation: 72/12=6 Current State: 42:[66, 4, 6], Operations: ['72/12=6'] Exploring Operation: 4*6=24, Resulting Numbers: [66, 24] Generated Node #3: [66, 24] from Operation: 4*6=24 Current State: 42:[66, 24], Operations: ['72/12=6', '4*6=24'] Exploring Operation: 66-24=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 2, 32, 22, 36 ]
36
[ "36/2=18", "32+22=54", "54-18=36" ]
Current State: 36:[2, 32, 22, 36], Operations: [] Exploring Operation: 36/2=18, Resulting Numbers: [32, 22, 18] Generated Node #2: [32, 22, 18] from Operation: 36/2=18 Current State: 36:[32, 22, 18], Operations: ['36/2=18'] Exploring Operation: 32+22=54, Resulting Numbers: [18, 54] Generated Node #3: [18, 54] from Operation: 32+22=54 Current State: 36:[18, 54], Operations: ['36/2=18', '32+22=54'] Exploring Operation: 54-18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 15, 65, 51, 13 ]
71
[ "15+51=66", "65/13=5", "66+5=71" ]
Current State: 71:[15, 65, 51, 13], Operations: [] Exploring Operation: 15+51=66, Resulting Numbers: [65, 13, 66] Generated Node #2: [65, 13, 66] from Operation: 15+51=66 Current State: 71:[65, 13, 66], Operations: ['15+51=66'] Exploring Operation: 65/13=5, Resulting Numbers: [66, 5] Generated Node #3: [66, 5] from Operation: 65/13=5 Current State: 71:[66, 5], Operations: ['15+51=66', '65/13=5'] Exploring Operation: 66+5=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 78, 29, 11, 15 ]
53
[ "78-29=49", "15-11=4", "49+4=53" ]
Current State: 53:[78, 29, 11, 15], Operations: [] Exploring Operation: 78-29=49, Resulting Numbers: [11, 15, 49] Generated Node #2: [11, 15, 49] from Operation: 78-29=49 Current State: 53:[11, 15, 49], Operations: ['78-29=49'] Exploring Operation: 15-11=4, Resulting Numbers: [49, 4] Generated Node #3: [49, 4] from Operation: 15-11=4 Current State: 53:[49, 4], Operations: ['78-29=49', '15-11=4'] Exploring Operation: 49+4=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 96, 55, 98, 27 ]
56
[ "98-96=2", "55-27=28", "2*28=56" ]
Current State: 56:[96, 55, 98, 27], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [55, 27, 2] Generated Node #2: [55, 27, 2] from Operation: 98-96=2 Current State: 56:[55, 27, 2], Operations: ['98-96=2'] Exploring Operation: 55-27=28, Resulting Numbers: [2, 28] Generated Node #3: [2, 28] from Operation: 55-27=28 Current State: 56:[2, 28], Operations: ['98-96=2', '55-27=28'] Exploring Operation: 2*28=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 46, 47, 2, 96 ]
52
[ "96-47=49", "2*49=98", "98-46=52" ]
Current State: 52:[46, 47, 2, 96], Operations: [] Exploring Operation: 96-47=49, Resulting Numbers: [46, 2, 49] Generated Node #2: [46, 2, 49] from Operation: 96-47=49 Current State: 52:[46, 2, 49], Operations: ['96-47=49'] Exploring Operation: 2*49=98, Resulting Numbers: [46, 98] Generated Node #3: [46, 98] from Operation: 2*49=98 Current State: 52:[46, 98], Operations: ['96-47=49', '2*49=98'] Exploring Operation: 98-46=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 50, 21, 72, 53 ]
65
[ "53-50=3", "21/3=7", "72-7=65" ]
Current State: 65:[50, 21, 72, 53], Operations: [] Exploring Operation: 53-50=3, Resulting Numbers: [21, 72, 3] Generated Node #2: [21, 72, 3] from Operation: 53-50=3 Current State: 65:[21, 72, 3], Operations: ['53-50=3'] Exploring Operation: 21/3=7, Resulting Numbers: [72, 7] Generated Node #3: [72, 7] from Operation: 21/3=7 Current State: 65:[72, 7], Operations: ['53-50=3', '21/3=7'] Exploring Operation: 72-7=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 14, 30, 16, 31 ]
46
[ "16-14=2", "30/2=15", "31+15=46" ]
Current State: 46:[14, 30, 16, 31], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [30, 31, 2] Generated Node #2: [30, 31, 2] from Operation: 16-14=2 Current State: 46:[30, 31, 2], Operations: ['16-14=2'] Exploring Operation: 30/2=15, Resulting Numbers: [31, 15] Generated Node #3: [31, 15] from Operation: 30/2=15 Current State: 46:[31, 15], Operations: ['16-14=2', '30/2=15'] Exploring Operation: 31+15=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 13, 40, 22, 32 ]
28
[ "13+22=35", "32*35=1120", "1120/40=28" ]
Current State: 28:[13, 40, 22, 32], Operations: [] Exploring Operation: 13+22=35, Resulting Numbers: [40, 32, 35] Generated Node #2: [40, 32, 35] from Operation: 13+22=35 Current State: 28:[40, 32, 35], Operations: ['13+22=35'] Exploring Operation: 32*35=1120, Resulting Numbers: [40, 1120] Generated Node #3: [40, 1120] from Operation: 32*35=1120 Current State: 28:[40, 1120], Operations: ['13+22=35', '32*35=1120'] Exploring Operation: 1120/40=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 48, 8, 40, 42 ]
47
[ "48/8=6", "42/6=7", "40+7=47" ]
Current State: 47:[48, 8, 40, 42], Operations: [] Exploring Operation: 48/8=6, Resulting Numbers: [40, 42, 6] Generated Node #2: [40, 42, 6] from Operation: 48/8=6 Current State: 47:[40, 42, 6], Operations: ['48/8=6'] Exploring Operation: 42/6=7, Resulting Numbers: [40, 7] Generated Node #3: [40, 7] from Operation: 42/6=7 Current State: 47:[40, 7], Operations: ['48/8=6', '42/6=7'] Exploring Operation: 40+7=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 86, 67, 5, 65 ]
30
[ "86-67=19", "5*19=95", "95-65=30" ]
Current State: 30:[86, 67, 5, 65], Operations: [] Exploring Operation: 86-67=19, Resulting Numbers: [5, 65, 19] Generated Node #2: [5, 65, 19] from Operation: 86-67=19 Current State: 30:[5, 65, 19], Operations: ['86-67=19'] Exploring Operation: 5*19=95, Resulting Numbers: [65, 95] Generated Node #3: [65, 95] from Operation: 5*19=95 Current State: 30:[65, 95], Operations: ['86-67=19', '5*19=95'] Exploring Operation: 95-65=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 12, 58, 39, 24 ]
99
[ "24/12=2", "58+39=97", "2+97=99" ]
Current State: 99:[12, 58, 39, 24], Operations: [] Exploring Operation: 24/12=2, Resulting Numbers: [58, 39, 2] Generated Node #2: [58, 39, 2] from Operation: 24/12=2 Current State: 99:[58, 39, 2], Operations: ['24/12=2'] Exploring Operation: 58+39=97, Resulting Numbers: [2, 97] Generated Node #3: [2, 97] from Operation: 58+39=97 Current State: 99:[2, 97], Operations: ['24/12=2', '58+39=97'] Exploring Operation: 2+97=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 86, 41, 98, 93 ]
40
[ "86-41=45", "98-93=5", "45-5=40" ]
Current State: 40:[86, 41, 98, 93], Operations: [] Exploring Operation: 86-41=45, Resulting Numbers: [98, 93, 45] Generated Node #2: [98, 93, 45] from Operation: 86-41=45 Current State: 40:[98, 93, 45], Operations: ['86-41=45'] Exploring Operation: 98-93=5, Resulting Numbers: [45, 5] Generated Node #3: [45, 5] from Operation: 98-93=5 Current State: 40:[45, 5], Operations: ['86-41=45', '98-93=5'] Exploring Operation: 45-5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 52, 24, 31, 24 ]
31
[ "24-24=0", "52*0=0", "31+0=31" ]
Current State: 31:[52, 24, 31, 24], Operations: [] Exploring Operation: 24-24=0, Resulting Numbers: [52, 31, 0] Generated Node #2: [52, 31, 0] from Operation: 24-24=0 Current State: 31:[52, 31, 0], Operations: ['24-24=0'] Exploring Operation: 52*0=0, Resulting Numbers: [31, 0] Generated Node #3: [31, 0] from Operation: 52*0=0 Current State: 31:[31, 0], Operations: ['24-24=0', '52*0=0'] Exploring Operation: 31+0=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 11, 39, 4, 9 ]
33
[ "11*39=429", "4+9=13", "429/13=33" ]
Current State: 33:[11, 39, 4, 9], Operations: [] Exploring Operation: 11*39=429, Resulting Numbers: [4, 9, 429] Generated Node #2: [4, 9, 429] from Operation: 11*39=429 Current State: 33:[4, 9, 429], Operations: ['11*39=429'] Exploring Operation: 4+9=13, Resulting Numbers: [429, 13] Generated Node #3: [429, 13] from Operation: 4+9=13 Current State: 33:[429, 13], Operations: ['11*39=429', '4+9=13'] Exploring Operation: 429/13=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 40, 91, 47, 45 ]
32
[ "47-40=7", "91/7=13", "45-13=32" ]
Current State: 32:[40, 91, 47, 45], Operations: [] Exploring Operation: 47-40=7, Resulting Numbers: [91, 45, 7] Generated Node #2: [91, 45, 7] from Operation: 47-40=7 Current State: 32:[91, 45, 7], Operations: ['47-40=7'] Exploring Operation: 91/7=13, Resulting Numbers: [45, 13] Generated Node #3: [45, 13] from Operation: 91/7=13 Current State: 32:[45, 13], Operations: ['47-40=7', '91/7=13'] Exploring Operation: 45-13=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 15, 59, 2, 72 ]
70
[ "15+59=74", "2*72=144", "144-74=70" ]
Current State: 70:[15, 59, 2, 72], Operations: [] Exploring Operation: 15+59=74, Resulting Numbers: [2, 72, 74] Generated Node #2: [2, 72, 74] from Operation: 15+59=74 Current State: 70:[2, 72, 74], Operations: ['15+59=74'] Exploring Operation: 2*72=144, Resulting Numbers: [74, 144] Generated Node #3: [74, 144] from Operation: 2*72=144 Current State: 70:[74, 144], Operations: ['15+59=74', '2*72=144'] Exploring Operation: 144-74=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 59, 44, 4, 46 ]
65
[ "59-44=15", "4+46=50", "15+50=65" ]
Current State: 65:[59, 44, 4, 46], Operations: [] Exploring Operation: 59-44=15, Resulting Numbers: [4, 46, 15] Generated Node #2: [4, 46, 15] from Operation: 59-44=15 Current State: 65:[4, 46, 15], Operations: ['59-44=15'] Exploring Operation: 4+46=50, Resulting Numbers: [15, 50] Generated Node #3: [15, 50] from Operation: 4+46=50 Current State: 65:[15, 50], Operations: ['59-44=15', '4+46=50'] Exploring Operation: 15+50=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 15, 95, 51, 92 ]
69
[ "15+95=110", "92-51=41", "110-41=69" ]
Current State: 69:[15, 95, 51, 92], Operations: [] Exploring Operation: 15+95=110, Resulting Numbers: [51, 92, 110] Generated Node #2: [51, 92, 110] from Operation: 15+95=110 Current State: 69:[51, 92, 110], Operations: ['15+95=110'] Exploring Operation: 92-51=41, Resulting Numbers: [110, 41] Generated Node #3: [110, 41] from Operation: 92-51=41 Current State: 69:[110, 41], Operations: ['15+95=110', '92-51=41'] Exploring Operation: 110-41=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 55, 51, 26, 65 ]
15
[ "55+51=106", "26+65=91", "106-91=15" ]
Current State: 15:[55, 51, 26, 65], Operations: [] Exploring Operation: 55+51=106, Resulting Numbers: [26, 65, 106] Generated Node #2: [26, 65, 106] from Operation: 55+51=106 Current State: 15:[26, 65, 106], Operations: ['55+51=106'] Exploring Operation: 26+65=91, Resulting Numbers: [106, 91] Generated Node #3: [106, 91] from Operation: 26+65=91 Current State: 15:[106, 91], Operations: ['55+51=106', '26+65=91'] Exploring Operation: 106-91=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 22, 90, 50, 10 ]
24
[ "90+10=100", "100/50=2", "22+2=24" ]
Current State: 24:[22, 90, 50, 10], Operations: [] Exploring Operation: 90+10=100, Resulting Numbers: [22, 50, 100] Generated Node #2: [22, 50, 100] from Operation: 90+10=100 Current State: 24:[22, 50, 100], Operations: ['90+10=100'] Exploring Operation: 100/50=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 100/50=2 Current State: 24:[22, 2], Operations: ['90+10=100', '100/50=2'] Exploring Operation: 22+2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 4, 36, 94, 93 ]
33
[ "36-4=32", "94-93=1", "32+1=33" ]
Current State: 33:[4, 36, 94, 93], Operations: [] Exploring Operation: 36-4=32, Resulting Numbers: [94, 93, 32] Generated Node #2: [94, 93, 32] from Operation: 36-4=32 Current State: 33:[94, 93, 32], Operations: ['36-4=32'] Exploring Operation: 94-93=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 94-93=1 Current State: 33:[32, 1], Operations: ['36-4=32', '94-93=1'] Exploring Operation: 32+1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 75, 2, 65, 54 ]
98
[ "75-65=10", "2*54=108", "108-10=98" ]
Current State: 98:[75, 2, 65, 54], Operations: [] Exploring Operation: 75-65=10, Resulting Numbers: [2, 54, 10] Generated Node #2: [2, 54, 10] from Operation: 75-65=10 Current State: 98:[2, 54, 10], Operations: ['75-65=10'] Exploring Operation: 2*54=108, Resulting Numbers: [10, 108] Generated Node #3: [10, 108] from Operation: 2*54=108 Current State: 98:[10, 108], Operations: ['75-65=10', '2*54=108'] Exploring Operation: 108-10=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 70, 91, 11, 62 ]
10
[ "70-62=8", "91-11=80", "80/8=10" ]
Current State: 10:[70, 91, 11, 62], Operations: [] Exploring Operation: 70-62=8, Resulting Numbers: [91, 11, 8] Generated Node #2: [91, 11, 8] from Operation: 70-62=8 Current State: 10:[91, 11, 8], Operations: ['70-62=8'] Exploring Operation: 91-11=80, Resulting Numbers: [8, 80] Generated Node #3: [8, 80] from Operation: 91-11=80 Current State: 10:[8, 80], Operations: ['70-62=8', '91-11=80'] Exploring Operation: 80/8=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 66, 95, 45, 5 ]
94
[ "95+45=140", "140/5=28", "66+28=94" ]
Current State: 94:[66, 95, 45, 5], Operations: [] Exploring Operation: 95+45=140, Resulting Numbers: [66, 5, 140] Generated Node #2: [66, 5, 140] from Operation: 95+45=140 Current State: 94:[66, 5, 140], Operations: ['95+45=140'] Exploring Operation: 140/5=28, Resulting Numbers: [66, 28] Generated Node #3: [66, 28] from Operation: 140/5=28 Current State: 94:[66, 28], Operations: ['95+45=140', '140/5=28'] Exploring Operation: 66+28=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 76, 31, 38, 93 ]
52
[ "76+31=107", "93-38=55", "107-55=52" ]
Current State: 52:[76, 31, 38, 93], Operations: [] Exploring Operation: 76+31=107, Resulting Numbers: [38, 93, 107] Generated Node #2: [38, 93, 107] from Operation: 76+31=107 Current State: 52:[38, 93, 107], Operations: ['76+31=107'] Exploring Operation: 93-38=55, Resulting Numbers: [107, 55] Generated Node #3: [107, 55] from Operation: 93-38=55 Current State: 52:[107, 55], Operations: ['76+31=107', '93-38=55'] Exploring Operation: 107-55=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 98, 98, 38, 49 ]
78
[ "98*38=3724", "98+3724=3822", "3822/49=78" ]
Current State: 78:[98, 98, 38, 49], Operations: [] Exploring Operation: 98*38=3724, Resulting Numbers: [49, 3724] Generated Node #2: [49, 3724] from Operation: 98*38=3724 Current State: 78:[49, 3724], Operations: ['98*38=3724'] Exploring Operation: 98+3724=3822, Resulting Numbers: [49, 3822] Generated Node #3: [49, 3822] from Operation: 98+3724=3822 Current State: 78:[49, 3822], Operations: ['98*38=3724', '98+3724=3822'] Exploring Operation: 3822/49=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 83, 2, 48, 7 ]
77
[ "83-48=35", "2*35=70", "7+70=77" ]
Current State: 77:[83, 2, 48, 7], Operations: [] Exploring Operation: 83-48=35, Resulting Numbers: [2, 7, 35] Generated Node #2: [2, 7, 35] from Operation: 83-48=35 Current State: 77:[2, 7, 35], Operations: ['83-48=35'] Exploring Operation: 2*35=70, Resulting Numbers: [7, 70] Generated Node #3: [7, 70] from Operation: 2*35=70 Current State: 77:[7, 70], Operations: ['83-48=35', '2*35=70'] Exploring Operation: 7+70=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 10, 85, 67, 57 ]
29
[ "10+85=95", "67+57=124", "124-95=29" ]
Current State: 29:[10, 85, 67, 57], Operations: [] Exploring Operation: 10+85=95, Resulting Numbers: [67, 57, 95] Generated Node #2: [67, 57, 95] from Operation: 10+85=95 Current State: 29:[67, 57, 95], Operations: ['10+85=95'] Exploring Operation: 67+57=124, Resulting Numbers: [95, 124] Generated Node #3: [95, 124] from Operation: 67+57=124 Current State: 29:[95, 124], Operations: ['10+85=95', '67+57=124'] Exploring Operation: 124-95=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 49, 5, 69, 21 ]
13
[ "49+69=118", "5*21=105", "118-105=13" ]
Current State: 13:[49, 5, 69, 21], Operations: [] Exploring Operation: 49+69=118, Resulting Numbers: [5, 21, 118] Generated Node #2: [5, 21, 118] from Operation: 49+69=118 Current State: 13:[5, 21, 118], Operations: ['49+69=118'] Exploring Operation: 5*21=105, Resulting Numbers: [118, 105] Generated Node #3: [118, 105] from Operation: 5*21=105 Current State: 13:[118, 105], Operations: ['49+69=118', '5*21=105'] Exploring Operation: 118-105=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 71, 62, 64, 53 ]
20
[ "71-62=9", "64-53=11", "9+11=20" ]
Current State: 20:[71, 62, 64, 53], Operations: [] Exploring Operation: 71-62=9, Resulting Numbers: [64, 53, 9] Generated Node #2: [64, 53, 9] from Operation: 71-62=9 Current State: 20:[64, 53, 9], Operations: ['71-62=9'] Exploring Operation: 64-53=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 64-53=11 Current State: 20:[9, 11], Operations: ['71-62=9', '64-53=11'] Exploring Operation: 9+11=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 18, 44, 39, 42 ]
60
[ "44-42=2", "39*2=78", "78-18=60" ]
Current State: 60:[18, 44, 39, 42], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [18, 39, 2] Generated Node #2: [18, 39, 2] from Operation: 44-42=2 Current State: 60:[18, 39, 2], Operations: ['44-42=2'] Exploring Operation: 39*2=78, Resulting Numbers: [18, 78] Generated Node #3: [18, 78] from Operation: 39*2=78 Current State: 60:[18, 78], Operations: ['44-42=2', '39*2=78'] Exploring Operation: 78-18=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 4, 52, 25, 62 ]
46
[ "52-25=27", "4*27=108", "108-62=46" ]
Current State: 46:[4, 52, 25, 62], Operations: [] Exploring Operation: 52-25=27, Resulting Numbers: [4, 62, 27] Generated Node #2: [4, 62, 27] from Operation: 52-25=27 Current State: 46:[4, 62, 27], Operations: ['52-25=27'] Exploring Operation: 4*27=108, Resulting Numbers: [62, 108] Generated Node #3: [62, 108] from Operation: 4*27=108 Current State: 46:[62, 108], Operations: ['52-25=27', '4*27=108'] Exploring Operation: 108-62=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 26, 32, 27, 24 ]
43
[ "26-24=2", "32/2=16", "27+16=43" ]
Current State: 43:[26, 32, 27, 24], Operations: [] Exploring Operation: 26-24=2, Resulting Numbers: [32, 27, 2] Generated Node #2: [32, 27, 2] from Operation: 26-24=2 Current State: 43:[32, 27, 2], Operations: ['26-24=2'] Exploring Operation: 32/2=16, Resulting Numbers: [27, 16] Generated Node #3: [27, 16] from Operation: 32/2=16 Current State: 43:[27, 16], Operations: ['26-24=2', '32/2=16'] Exploring Operation: 27+16=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 33, 24, 19, 58 ]
86
[ "33-24=9", "19+58=77", "9+77=86" ]
Current State: 86:[33, 24, 19, 58], Operations: [] Exploring Operation: 33-24=9, Resulting Numbers: [19, 58, 9] Generated Node #2: [19, 58, 9] from Operation: 33-24=9 Current State: 86:[19, 58, 9], Operations: ['33-24=9'] Exploring Operation: 19+58=77, Resulting Numbers: [9, 77] Generated Node #3: [9, 77] from Operation: 19+58=77 Current State: 86:[9, 77], Operations: ['33-24=9', '19+58=77'] Exploring Operation: 9+77=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 17, 55, 24, 78 ]
18
[ "17+55=72", "78-24=54", "72-54=18" ]
Current State: 18:[17, 55, 24, 78], Operations: [] Exploring Operation: 17+55=72, Resulting Numbers: [24, 78, 72] Generated Node #2: [24, 78, 72] from Operation: 17+55=72 Current State: 18:[24, 78, 72], Operations: ['17+55=72'] Exploring Operation: 78-24=54, Resulting Numbers: [72, 54] Generated Node #3: [72, 54] from Operation: 78-24=54 Current State: 18:[72, 54], Operations: ['17+55=72', '78-24=54'] Exploring Operation: 72-54=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 27, 8, 62, 9 ]
72
[ "27-8=19", "62-9=53", "19+53=72" ]
Current State: 72:[27, 8, 62, 9], Operations: [] Exploring Operation: 27-8=19, Resulting Numbers: [62, 9, 19] Generated Node #2: [62, 9, 19] from Operation: 27-8=19 Current State: 72:[62, 9, 19], Operations: ['27-8=19'] Exploring Operation: 62-9=53, Resulting Numbers: [19, 53] Generated Node #3: [19, 53] from Operation: 62-9=53 Current State: 72:[19, 53], Operations: ['27-8=19', '62-9=53'] Exploring Operation: 19+53=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 37, 2, 44, 54 ]
57
[ "54-44=10", "2*10=20", "37+20=57" ]
Current State: 57:[37, 2, 44, 54], Operations: [] Exploring Operation: 54-44=10, Resulting Numbers: [37, 2, 10] Generated Node #2: [37, 2, 10] from Operation: 54-44=10 Current State: 57:[37, 2, 10], Operations: ['54-44=10'] Exploring Operation: 2*10=20, Resulting Numbers: [37, 20] Generated Node #3: [37, 20] from Operation: 2*10=20 Current State: 57:[37, 20], Operations: ['54-44=10', '2*10=20'] Exploring Operation: 37+20=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 85, 23, 21, 53 ]
76
[ "85+23=108", "53-21=32", "108-32=76" ]
Current State: 76:[85, 23, 21, 53], Operations: [] Exploring Operation: 85+23=108, Resulting Numbers: [21, 53, 108] Generated Node #2: [21, 53, 108] from Operation: 85+23=108 Current State: 76:[21, 53, 108], Operations: ['85+23=108'] Exploring Operation: 53-21=32, Resulting Numbers: [108, 32] Generated Node #3: [108, 32] from Operation: 53-21=32 Current State: 76:[108, 32], Operations: ['85+23=108', '53-21=32'] Exploring Operation: 108-32=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 9, 61, 83, 55 ]
86
[ "61-9=52", "83+55=138", "138-52=86" ]
Current State: 86:[9, 61, 83, 55], Operations: [] Exploring Operation: 61-9=52, Resulting Numbers: [83, 55, 52] Generated Node #2: [83, 55, 52] from Operation: 61-9=52 Current State: 86:[83, 55, 52], Operations: ['61-9=52'] Exploring Operation: 83+55=138, Resulting Numbers: [52, 138] Generated Node #3: [52, 138] from Operation: 83+55=138 Current State: 86:[52, 138], Operations: ['61-9=52', '83+55=138'] Exploring Operation: 138-52=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 46, 2, 36, 64 ]
84
[ "46-36=10", "2*10=20", "64+20=84" ]
Current State: 84:[46, 2, 36, 64], Operations: [] Exploring Operation: 46-36=10, Resulting Numbers: [2, 64, 10] Generated Node #2: [2, 64, 10] from Operation: 46-36=10 Current State: 84:[2, 64, 10], Operations: ['46-36=10'] Exploring Operation: 2*10=20, Resulting Numbers: [64, 20] Generated Node #3: [64, 20] from Operation: 2*10=20 Current State: 84:[64, 20], Operations: ['46-36=10', '2*10=20'] Exploring Operation: 64+20=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 75, 85, 49, 36 ]
75
[ "75+85=160", "49+36=85", "160-85=75" ]
Current State: 75:[75, 85, 49, 36], Operations: [] Exploring Operation: 75+85=160, Resulting Numbers: [49, 36, 160] Generated Node #2: [49, 36, 160] from Operation: 75+85=160 Current State: 75:[49, 36, 160], Operations: ['75+85=160'] Exploring Operation: 49+36=85, Resulting Numbers: [160, 85] Generated Node #3: [160, 85] from Operation: 49+36=85 Current State: 75:[160, 85], Operations: ['75+85=160', '49+36=85'] Exploring Operation: 160-85=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 26, 58, 13, 80 ]
24
[ "26/13=2", "80-58=22", "2+22=24" ]
Current State: 24:[26, 58, 13, 80], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [58, 80, 2] Generated Node #2: [58, 80, 2] from Operation: 26/13=2 Current State: 24:[58, 80, 2], Operations: ['26/13=2'] Exploring Operation: 80-58=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 80-58=22 Current State: 24:[2, 22], Operations: ['26/13=2', '80-58=22'] Exploring Operation: 2+22=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 70, 78, 9, 85 ]
85
[ "78-70=8", "9-8=1", "85*1=85" ]
Current State: 85:[70, 78, 9, 85], Operations: [] Exploring Operation: 78-70=8, Resulting Numbers: [9, 85, 8] Generated Node #2: [9, 85, 8] from Operation: 78-70=8 Current State: 85:[9, 85, 8], Operations: ['78-70=8'] Exploring Operation: 9-8=1, Resulting Numbers: [85, 1] Generated Node #3: [85, 1] from Operation: 9-8=1 Current State: 85:[85, 1], Operations: ['78-70=8', '9-8=1'] Exploring Operation: 85*1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 81, 87, 73, 69 ]
10
[ "87-81=6", "73-69=4", "6+4=10" ]
Current State: 10:[81, 87, 73, 69], Operations: [] Exploring Operation: 87-81=6, Resulting Numbers: [73, 69, 6] Generated Node #2: [73, 69, 6] from Operation: 87-81=6 Current State: 10:[73, 69, 6], Operations: ['87-81=6'] Exploring Operation: 73-69=4, Resulting Numbers: [6, 4] Generated Node #3: [6, 4] from Operation: 73-69=4 Current State: 10:[6, 4], Operations: ['87-81=6', '73-69=4'] Exploring Operation: 6+4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 61, 38, 62, 97 ]
64
[ "61+38=99", "97-62=35", "99-35=64" ]
Current State: 64:[61, 38, 62, 97], Operations: [] Exploring Operation: 61+38=99, Resulting Numbers: [62, 97, 99] Generated Node #2: [62, 97, 99] from Operation: 61+38=99 Current State: 64:[62, 97, 99], Operations: ['61+38=99'] Exploring Operation: 97-62=35, Resulting Numbers: [99, 35] Generated Node #3: [99, 35] from Operation: 97-62=35 Current State: 64:[99, 35], Operations: ['61+38=99', '97-62=35'] Exploring Operation: 99-35=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 65, 7, 50, 57 ]
66
[ "7+50=57", "57/57=1", "65+1=66" ]
Current State: 66:[65, 7, 50, 57], Operations: [] Exploring Operation: 7+50=57, Resulting Numbers: [65, 57, 57] Generated Node #2: [65, 57, 57] from Operation: 7+50=57 Current State: 66:[65, 57, 57], Operations: ['7+50=57'] Exploring Operation: 57/57=1, Resulting Numbers: [65, 1] Generated Node #3: [65, 1] from Operation: 57/57=1 Current State: 66:[65, 1], Operations: ['7+50=57', '57/57=1'] Exploring Operation: 65+1=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 4, 70, 7, 17 ]
76
[ "70-4=66", "17-7=10", "66+10=76" ]
Current State: 76:[4, 70, 7, 17], Operations: [] Exploring Operation: 70-4=66, Resulting Numbers: [7, 17, 66] Generated Node #2: [7, 17, 66] from Operation: 70-4=66 Current State: 76:[7, 17, 66], Operations: ['70-4=66'] Exploring Operation: 17-7=10, Resulting Numbers: [66, 10] Generated Node #3: [66, 10] from Operation: 17-7=10 Current State: 76:[66, 10], Operations: ['70-4=66', '17-7=10'] Exploring Operation: 66+10=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 96, 52, 71, 45 ]
72
[ "96-52=44", "71+45=116", "116-44=72" ]
Current State: 72:[96, 52, 71, 45], Operations: [] Exploring Operation: 96-52=44, Resulting Numbers: [71, 45, 44] Generated Node #2: [71, 45, 44] from Operation: 96-52=44 Current State: 72:[71, 45, 44], Operations: ['96-52=44'] Exploring Operation: 71+45=116, Resulting Numbers: [44, 116] Generated Node #3: [44, 116] from Operation: 71+45=116 Current State: 72:[44, 116], Operations: ['96-52=44', '71+45=116'] Exploring Operation: 116-44=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 18, 7, 26, 97 ]
98
[ "18+7=25", "26+97=123", "123-25=98" ]
Current State: 98:[18, 7, 26, 97], Operations: [] Exploring Operation: 18+7=25, Resulting Numbers: [26, 97, 25] Generated Node #2: [26, 97, 25] from Operation: 18+7=25 Current State: 98:[26, 97, 25], Operations: ['18+7=25'] Exploring Operation: 26+97=123, Resulting Numbers: [25, 123] Generated Node #3: [25, 123] from Operation: 26+97=123 Current State: 98:[25, 123], Operations: ['18+7=25', '26+97=123'] Exploring Operation: 123-25=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 3, 19, 13, 6 ]
26
[ "3*13=39", "19-6=13", "39-13=26" ]
Current State: 26:[3, 19, 13, 6], Operations: [] Exploring Operation: 3*13=39, Resulting Numbers: [19, 6, 39] Generated Node #2: [19, 6, 39] from Operation: 3*13=39 Current State: 26:[19, 6, 39], Operations: ['3*13=39'] Exploring Operation: 19-6=13, Resulting Numbers: [39, 13] Generated Node #3: [39, 13] from Operation: 19-6=13 Current State: 26:[39, 13], Operations: ['3*13=39', '19-6=13'] Exploring Operation: 39-13=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 41, 65, 45, 10 ]
26
[ "45-41=4", "65*4=260", "260/10=26" ]
Current State: 26:[41, 65, 45, 10], Operations: [] Exploring Operation: 45-41=4, Resulting Numbers: [65, 10, 4] Generated Node #2: [65, 10, 4] from Operation: 45-41=4 Current State: 26:[65, 10, 4], Operations: ['45-41=4'] Exploring Operation: 65*4=260, Resulting Numbers: [10, 260] Generated Node #3: [10, 260] from Operation: 65*4=260 Current State: 26:[10, 260], Operations: ['45-41=4', '65*4=260'] Exploring Operation: 260/10=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 99, 2, 56, 82 ]
11
[ "99-82=17", "56/2=28", "28-17=11" ]
Current State: 11:[99, 2, 56, 82], Operations: [] Exploring Operation: 99-82=17, Resulting Numbers: [2, 56, 17] Generated Node #2: [2, 56, 17] from Operation: 99-82=17 Current State: 11:[2, 56, 17], Operations: ['99-82=17'] Exploring Operation: 56/2=28, Resulting Numbers: [17, 28] Generated Node #3: [17, 28] from Operation: 56/2=28 Current State: 11:[17, 28], Operations: ['99-82=17', '56/2=28'] Exploring Operation: 28-17=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 60, 17, 29, 68 ]
85
[ "60+29=89", "68/17=4", "89-4=85" ]
Current State: 85:[60, 17, 29, 68], Operations: [] Exploring Operation: 60+29=89, Resulting Numbers: [17, 68, 89] Generated Node #2: [17, 68, 89] from Operation: 60+29=89 Current State: 85:[17, 68, 89], Operations: ['60+29=89'] Exploring Operation: 68/17=4, Resulting Numbers: [89, 4] Generated Node #3: [89, 4] from Operation: 68/17=4 Current State: 85:[89, 4], Operations: ['60+29=89', '68/17=4'] Exploring Operation: 89-4=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 13, 82, 41, 6 ]
25
[ "82/41=2", "6*2=12", "13+12=25" ]
Current State: 25:[13, 82, 41, 6], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [13, 6, 2] Generated Node #2: [13, 6, 2] from Operation: 82/41=2 Current State: 25:[13, 6, 2], Operations: ['82/41=2'] Exploring Operation: 6*2=12, Resulting Numbers: [13, 12] Generated Node #3: [13, 12] from Operation: 6*2=12 Current State: 25:[13, 12], Operations: ['82/41=2', '6*2=12'] Exploring Operation: 13+12=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 55, 43, 42, 87 ]
57
[ "55-43=12", "87-42=45", "12+45=57" ]
Current State: 57:[55, 43, 42, 87], Operations: [] Exploring Operation: 55-43=12, Resulting Numbers: [42, 87, 12] Generated Node #2: [42, 87, 12] from Operation: 55-43=12 Current State: 57:[42, 87, 12], Operations: ['55-43=12'] Exploring Operation: 87-42=45, Resulting Numbers: [12, 45] Generated Node #3: [12, 45] from Operation: 87-42=45 Current State: 57:[12, 45], Operations: ['55-43=12', '87-42=45'] Exploring Operation: 12+45=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 76, 28, 14, 70 ]
43
[ "76-28=48", "70/14=5", "48-5=43" ]
Current State: 43:[76, 28, 14, 70], Operations: [] Exploring Operation: 76-28=48, Resulting Numbers: [14, 70, 48] Generated Node #2: [14, 70, 48] from Operation: 76-28=48 Current State: 43:[14, 70, 48], Operations: ['76-28=48'] Exploring Operation: 70/14=5, Resulting Numbers: [48, 5] Generated Node #3: [48, 5] from Operation: 70/14=5 Current State: 43:[48, 5], Operations: ['76-28=48', '70/14=5'] Exploring Operation: 48-5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 56, 60, 76, 19 ]
71
[ "60*19=1140", "1140/76=15", "56+15=71" ]
Current State: 71:[56, 60, 76, 19], Operations: [] Exploring Operation: 60*19=1140, Resulting Numbers: [56, 76, 1140] Generated Node #2: [56, 76, 1140] from Operation: 60*19=1140 Current State: 71:[56, 76, 1140], Operations: ['60*19=1140'] Exploring Operation: 1140/76=15, Resulting Numbers: [56, 15] Generated Node #3: [56, 15] from Operation: 1140/76=15 Current State: 71:[56, 15], Operations: ['60*19=1140', '1140/76=15'] Exploring Operation: 56+15=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 57, 23, 80, 81 ]
34
[ "57-23=34", "81-80=1", "34*1=34" ]
Current State: 34:[57, 23, 80, 81], Operations: [] Exploring Operation: 57-23=34, Resulting Numbers: [80, 81, 34] Generated Node #2: [80, 81, 34] from Operation: 57-23=34 Current State: 34:[80, 81, 34], Operations: ['57-23=34'] Exploring Operation: 81-80=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 81-80=1 Current State: 34:[34, 1], Operations: ['57-23=34', '81-80=1'] Exploring Operation: 34*1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 91, 55, 39, 5 ]
37
[ "91+55=146", "39+146=185", "185/5=37" ]
Current State: 37:[91, 55, 39, 5], Operations: [] Exploring Operation: 91+55=146, Resulting Numbers: [39, 5, 146] Generated Node #2: [39, 5, 146] from Operation: 91+55=146 Current State: 37:[39, 5, 146], Operations: ['91+55=146'] Exploring Operation: 39+146=185, Resulting Numbers: [5, 185] Generated Node #3: [5, 185] from Operation: 39+146=185 Current State: 37:[5, 185], Operations: ['91+55=146', '39+146=185'] Exploring Operation: 185/5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 56, 94, 6, 54 ]
44
[ "56-54=2", "94-6=88", "88/2=44" ]
Current State: 44:[56, 94, 6, 54], Operations: [] Exploring Operation: 56-54=2, Resulting Numbers: [94, 6, 2] Generated Node #2: [94, 6, 2] from Operation: 56-54=2 Current State: 44:[94, 6, 2], Operations: ['56-54=2'] Exploring Operation: 94-6=88, Resulting Numbers: [2, 88] Generated Node #3: [2, 88] from Operation: 94-6=88 Current State: 44:[2, 88], Operations: ['56-54=2', '94-6=88'] Exploring Operation: 88/2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 92, 97, 26, 79 ]
95
[ "92-79=13", "26/13=2", "97-2=95" ]
Current State: 95:[92, 97, 26, 79], Operations: [] Exploring Operation: 92-79=13, Resulting Numbers: [97, 26, 13] Generated Node #2: [97, 26, 13] from Operation: 92-79=13 Current State: 95:[97, 26, 13], Operations: ['92-79=13'] Exploring Operation: 26/13=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 26/13=2 Current State: 95:[97, 2], Operations: ['92-79=13', '26/13=2'] Exploring Operation: 97-2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 89, 38, 36, 36 ]
51
[ "89-38=51", "36-36=0", "51+0=51" ]
Current State: 51:[89, 38, 36, 36], Operations: [] Exploring Operation: 89-38=51, Resulting Numbers: [36, 36, 51] Generated Node #2: [36, 36, 51] from Operation: 89-38=51 Current State: 51:[36, 36, 51], Operations: ['89-38=51'] Exploring Operation: 36-36=0, Resulting Numbers: [51, 0] Generated Node #3: [51, 0] from Operation: 36-36=0 Current State: 51:[51, 0], Operations: ['89-38=51', '36-36=0'] Exploring Operation: 51+0=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 83, 81, 37, 4 ]
94
[ "81-37=44", "44/4=11", "83+11=94" ]
Current State: 94:[83, 81, 37, 4], Operations: [] Exploring Operation: 81-37=44, Resulting Numbers: [83, 4, 44] Generated Node #2: [83, 4, 44] from Operation: 81-37=44 Current State: 94:[83, 4, 44], Operations: ['81-37=44'] Exploring Operation: 44/4=11, Resulting Numbers: [83, 11] Generated Node #3: [83, 11] from Operation: 44/4=11 Current State: 94:[83, 11], Operations: ['81-37=44', '44/4=11'] Exploring Operation: 83+11=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 30, 9, 72, 18 ]
17
[ "30-9=21", "72/18=4", "21-4=17" ]
Current State: 17:[30, 9, 72, 18], Operations: [] Exploring Operation: 30-9=21, Resulting Numbers: [72, 18, 21] Generated Node #2: [72, 18, 21] from Operation: 30-9=21 Current State: 17:[72, 18, 21], Operations: ['30-9=21'] Exploring Operation: 72/18=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 72/18=4 Current State: 17:[21, 4], Operations: ['30-9=21', '72/18=4'] Exploring Operation: 21-4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 82, 3, 40, 85 ]
41
[ "82+3=85", "85/85=1", "40+1=41" ]
Current State: 41:[82, 3, 40, 85], Operations: [] Exploring Operation: 82+3=85, Resulting Numbers: [40, 85, 85] Generated Node #2: [40, 85, 85] from Operation: 82+3=85 Current State: 41:[40, 85, 85], Operations: ['82+3=85'] Exploring Operation: 85/85=1, Resulting Numbers: [40, 1] Generated Node #3: [40, 1] from Operation: 85/85=1 Current State: 41:[40, 1], Operations: ['82+3=85', '85/85=1'] Exploring Operation: 40+1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 33, 66, 68, 43 ]
20
[ "43-33=10", "68-66=2", "10*2=20" ]
Current State: 20:[33, 66, 68, 43], Operations: [] Exploring Operation: 43-33=10, Resulting Numbers: [66, 68, 10] Generated Node #2: [66, 68, 10] from Operation: 43-33=10 Current State: 20:[66, 68, 10], Operations: ['43-33=10'] Exploring Operation: 68-66=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 68-66=2 Current State: 20:[10, 2], Operations: ['43-33=10', '68-66=2'] Exploring Operation: 10*2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 27, 44, 20, 84 ]
33
[ "27+44=71", "20+84=104", "104-71=33" ]
Current State: 33:[27, 44, 20, 84], Operations: [] Exploring Operation: 27+44=71, Resulting Numbers: [20, 84, 71] Generated Node #2: [20, 84, 71] from Operation: 27+44=71 Current State: 33:[20, 84, 71], Operations: ['27+44=71'] Exploring Operation: 20+84=104, Resulting Numbers: [71, 104] Generated Node #3: [71, 104] from Operation: 20+84=104 Current State: 33:[71, 104], Operations: ['27+44=71', '20+84=104'] Exploring Operation: 104-71=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 50, 6, 43, 27 ]
95
[ "50-27=23", "6*23=138", "138-43=95" ]
Current State: 95:[50, 6, 43, 27], Operations: [] Exploring Operation: 50-27=23, Resulting Numbers: [6, 43, 23] Generated Node #2: [6, 43, 23] from Operation: 50-27=23 Current State: 95:[6, 43, 23], Operations: ['50-27=23'] Exploring Operation: 6*23=138, Resulting Numbers: [43, 138] Generated Node #3: [43, 138] from Operation: 6*23=138 Current State: 95:[43, 138], Operations: ['50-27=23', '6*23=138'] Exploring Operation: 138-43=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 35, 46, 81, 89 ]
90
[ "35+46=81", "81/81=1", "89+1=90" ]
Current State: 90:[35, 46, 81, 89], Operations: [] Exploring Operation: 35+46=81, Resulting Numbers: [81, 89, 81] Generated Node #2: [81, 89, 81] from Operation: 35+46=81 Current State: 90:[81, 89, 81], Operations: ['35+46=81'] Exploring Operation: 81/81=1, Resulting Numbers: [89, 1] Generated Node #3: [89, 1] from Operation: 81/81=1 Current State: 90:[89, 1], Operations: ['35+46=81', '81/81=1'] Exploring Operation: 89+1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 49, 92, 24, 36 ]
89
[ "92*36=3312", "3312/24=138", "138-49=89" ]
Current State: 89:[49, 92, 24, 36], Operations: [] Exploring Operation: 92*36=3312, Resulting Numbers: [49, 24, 3312] Generated Node #2: [49, 24, 3312] from Operation: 92*36=3312 Current State: 89:[49, 24, 3312], Operations: ['92*36=3312'] Exploring Operation: 3312/24=138, Resulting Numbers: [49, 138] Generated Node #3: [49, 138] from Operation: 3312/24=138 Current State: 89:[49, 138], Operations: ['92*36=3312', '3312/24=138'] Exploring Operation: 138-49=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 14, 37, 71, 75 ]
92
[ "37-14=23", "75-71=4", "23*4=92" ]
Current State: 92:[14, 37, 71, 75], Operations: [] Exploring Operation: 37-14=23, Resulting Numbers: [71, 75, 23] Generated Node #2: [71, 75, 23] from Operation: 37-14=23 Current State: 92:[71, 75, 23], Operations: ['37-14=23'] Exploring Operation: 75-71=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 75-71=4 Current State: 92:[23, 4], Operations: ['37-14=23', '75-71=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 9, 38, 25, 45 ]
88
[ "45-38=7", "9*7=63", "25+63=88" ]
Current State: 88:[9, 38, 25, 45], Operations: [] Exploring Operation: 45-38=7, Resulting Numbers: [9, 25, 7] Generated Node #2: [9, 25, 7] from Operation: 45-38=7 Current State: 88:[9, 25, 7], Operations: ['45-38=7'] Exploring Operation: 9*7=63, Resulting Numbers: [25, 63] Generated Node #3: [25, 63] from Operation: 9*7=63 Current State: 88:[25, 63], Operations: ['45-38=7', '9*7=63'] Exploring Operation: 25+63=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 83, 39, 69, 78 ]
53
[ "83-39=44", "78-69=9", "44+9=53" ]
Current State: 53:[83, 39, 69, 78], Operations: [] Exploring Operation: 83-39=44, Resulting Numbers: [69, 78, 44] Generated Node #2: [69, 78, 44] from Operation: 83-39=44 Current State: 53:[69, 78, 44], Operations: ['83-39=44'] Exploring Operation: 78-69=9, Resulting Numbers: [44, 9] Generated Node #3: [44, 9] from Operation: 78-69=9 Current State: 53:[44, 9], Operations: ['83-39=44', '78-69=9'] Exploring Operation: 44+9=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 6, 29, 15, 79 ]
99
[ "6+29=35", "79-15=64", "35+64=99" ]
Current State: 99:[6, 29, 15, 79], Operations: [] Exploring Operation: 6+29=35, Resulting Numbers: [15, 79, 35] Generated Node #2: [15, 79, 35] from Operation: 6+29=35 Current State: 99:[15, 79, 35], Operations: ['6+29=35'] Exploring Operation: 79-15=64, Resulting Numbers: [35, 64] Generated Node #3: [35, 64] from Operation: 79-15=64 Current State: 99:[35, 64], Operations: ['6+29=35', '79-15=64'] Exploring Operation: 35+64=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 71, 73, 21, 41 ]
40
[ "73-71=2", "41-21=20", "2*20=40" ]
Current State: 40:[71, 73, 21, 41], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [21, 41, 2] Generated Node #2: [21, 41, 2] from Operation: 73-71=2 Current State: 40:[21, 41, 2], Operations: ['73-71=2'] Exploring Operation: 41-21=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 41-21=20 Current State: 40:[2, 20], Operations: ['73-71=2', '41-21=20'] Exploring Operation: 2*20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 90, 69, 27, 59 ]
18
[ "69-59=10", "90/10=9", "27-9=18" ]
Current State: 18:[90, 69, 27, 59], Operations: [] Exploring Operation: 69-59=10, Resulting Numbers: [90, 27, 10] Generated Node #2: [90, 27, 10] from Operation: 69-59=10 Current State: 18:[90, 27, 10], Operations: ['69-59=10'] Exploring Operation: 90/10=9, Resulting Numbers: [27, 9] Generated Node #3: [27, 9] from Operation: 90/10=9 Current State: 18:[27, 9], Operations: ['69-59=10', '90/10=9'] Exploring Operation: 27-9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 59, 5, 63, 97 ]
77
[ "63-59=4", "5*4=20", "97-20=77" ]
Current State: 77:[59, 5, 63, 97], Operations: [] Exploring Operation: 63-59=4, Resulting Numbers: [5, 97, 4] Generated Node #2: [5, 97, 4] from Operation: 63-59=4 Current State: 77:[5, 97, 4], Operations: ['63-59=4'] Exploring Operation: 5*4=20, Resulting Numbers: [97, 20] Generated Node #3: [97, 20] from Operation: 5*4=20 Current State: 77:[97, 20], Operations: ['63-59=4', '5*4=20'] Exploring Operation: 97-20=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 2, 99, 59, 73 ]
93
[ "99-59=40", "40/2=20", "73+20=93" ]
Current State: 93:[2, 99, 59, 73], Operations: [] Exploring Operation: 99-59=40, Resulting Numbers: [2, 73, 40] Generated Node #2: [2, 73, 40] from Operation: 99-59=40 Current State: 93:[2, 73, 40], Operations: ['99-59=40'] Exploring Operation: 40/2=20, Resulting Numbers: [73, 20] Generated Node #3: [73, 20] from Operation: 40/2=20 Current State: 93:[73, 20], Operations: ['99-59=40', '40/2=20'] Exploring Operation: 73+20=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 64, 3, 60, 67 ]
23
[ "67-64=3", "60/3=20", "3+20=23" ]
Current State: 23:[64, 3, 60, 67], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [3, 60, 3] Generated Node #2: [3, 60, 3] from Operation: 67-64=3 Current State: 23:[3, 60, 3], Operations: ['67-64=3'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,23 equal: Goal Reached Exploring Operation: 3+20=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 10, 40, 92, 27 ]
95
[ "40-10=30", "92-27=65", "30+65=95" ]
Current State: 95:[10, 40, 92, 27], Operations: [] Exploring Operation: 40-10=30, Resulting Numbers: [92, 27, 30] Generated Node #2: [92, 27, 30] from Operation: 40-10=30 Current State: 95:[92, 27, 30], Operations: ['40-10=30'] Exploring Operation: 92-27=65, Resulting Numbers: [30, 65] Generated Node #3: [30, 65] from Operation: 92-27=65 Current State: 95:[30, 65], Operations: ['40-10=30', '92-27=65'] Exploring Operation: 30+65=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 98, 4, 90, 88 ]
51
[ "98+4=102", "90-88=2", "102/2=51" ]
Current State: 51:[98, 4, 90, 88], Operations: [] Exploring Operation: 98+4=102, Resulting Numbers: [90, 88, 102] Generated Node #2: [90, 88, 102] from Operation: 98+4=102 Current State: 51:[90, 88, 102], Operations: ['98+4=102'] Exploring Operation: 90-88=2, Resulting Numbers: [102, 2] Generated Node #3: [102, 2] from Operation: 90-88=2 Current State: 51:[102, 2], Operations: ['98+4=102', '90-88=2'] Exploring Operation: 102/2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 3, 81, 2, 1 ]
53
[ "81/3=27", "2*27=54", "54-1=53" ]
Current State: 53:[3, 81, 2, 1], Operations: [] Exploring Operation: 81/3=27, Resulting Numbers: [2, 1, 27] Generated Node #2: [2, 1, 27] from Operation: 81/3=27 Current State: 53:[2, 1, 27], Operations: ['81/3=27'] Exploring Operation: 2*27=54, Resulting Numbers: [1, 54] Generated Node #3: [1, 54] from Operation: 2*27=54 Current State: 53:[1, 54], Operations: ['81/3=27', '2*27=54'] Exploring Operation: 54-1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 93, 32, 73, 7 ]
84
[ "93-32=61", "73-61=12", "7*12=84" ]
Current State: 84:[93, 32, 73, 7], Operations: [] Exploring Operation: 93-32=61, Resulting Numbers: [73, 7, 61] Generated Node #2: [73, 7, 61] from Operation: 93-32=61 Current State: 84:[73, 7, 61], Operations: ['93-32=61'] Exploring Operation: 73-61=12, Resulting Numbers: [7, 12] Generated Node #3: [7, 12] from Operation: 73-61=12 Current State: 84:[7, 12], Operations: ['93-32=61', '73-61=12'] Exploring Operation: 7*12=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 34, 5, 58, 47 ]
65
[ "34*5=170", "58+47=105", "170-105=65" ]
Current State: 65:[34, 5, 58, 47], Operations: [] Exploring Operation: 34*5=170, Resulting Numbers: [58, 47, 170] Generated Node #2: [58, 47, 170] from Operation: 34*5=170 Current State: 65:[58, 47, 170], Operations: ['34*5=170'] Exploring Operation: 58+47=105, Resulting Numbers: [170, 105] Generated Node #3: [170, 105] from Operation: 58+47=105 Current State: 65:[170, 105], Operations: ['34*5=170', '58+47=105'] Exploring Operation: 170-105=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 96, 39, 46, 42 ]
47
[ "96+39=135", "46+42=88", "135-88=47" ]
Current State: 47:[96, 39, 46, 42], Operations: [] Exploring Operation: 96+39=135, Resulting Numbers: [46, 42, 135] Generated Node #2: [46, 42, 135] from Operation: 96+39=135 Current State: 47:[46, 42, 135], Operations: ['96+39=135'] Exploring Operation: 46+42=88, Resulting Numbers: [135, 88] Generated Node #3: [135, 88] from Operation: 46+42=88 Current State: 47:[135, 88], Operations: ['96+39=135', '46+42=88'] Exploring Operation: 135-88=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 10, 90, 57, 90 ]
66
[ "10+57=67", "90/90=1", "67-1=66" ]
Current State: 66:[10, 90, 57, 90], Operations: [] Exploring Operation: 10+57=67, Resulting Numbers: [90, 90, 67] Generated Node #2: [90, 90, 67] from Operation: 10+57=67 Current State: 66:[90, 90, 67], Operations: ['10+57=67'] Exploring Operation: 90/90=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 90/90=1 Current State: 66:[67, 1], Operations: ['10+57=67', '90/90=1'] Exploring Operation: 67-1=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 68, 72, 3, 62 ]
75
[ "68+72=140", "3+62=65", "140-65=75" ]
Current State: 75:[68, 72, 3, 62], Operations: [] Exploring Operation: 68+72=140, Resulting Numbers: [3, 62, 140] Generated Node #2: [3, 62, 140] from Operation: 68+72=140 Current State: 75:[3, 62, 140], Operations: ['68+72=140'] Exploring Operation: 3+62=65, Resulting Numbers: [140, 65] Generated Node #3: [140, 65] from Operation: 3+62=65 Current State: 75:[140, 65], Operations: ['68+72=140', '3+62=65'] Exploring Operation: 140-65=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 62, 99, 31, 57 ]
21
[ "62/31=2", "99-57=42", "42/2=21" ]
Current State: 21:[62, 99, 31, 57], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [99, 57, 2] Generated Node #2: [99, 57, 2] from Operation: 62/31=2 Current State: 21:[99, 57, 2], Operations: ['62/31=2'] Exploring Operation: 99-57=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 99-57=42 Current State: 21:[2, 42], Operations: ['62/31=2', '99-57=42'] Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 47, 47, 22, 8 ]
29
[ "47/47=1", "22+8=30", "30-1=29" ]
Current State: 29:[47, 47, 22, 8], Operations: [] Exploring Operation: 47/47=1, Resulting Numbers: [22, 8, 1] Generated Node #2: [22, 8, 1] from Operation: 47/47=1 Current State: 29:[22, 8, 1], Operations: ['47/47=1'] Exploring Operation: 22+8=30, Resulting Numbers: [1, 30] Generated Node #3: [1, 30] from Operation: 22+8=30 Current State: 29:[1, 30], Operations: ['47/47=1', '22+8=30'] Exploring Operation: 30-1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 1, 2, 49, 21 ]
27
[ "2-1=1", "49-21=28", "28-1=27" ]
Current State: 27:[1, 2, 49, 21], Operations: [] Exploring Operation: 2-1=1, Resulting Numbers: [49, 21, 1] Generated Node #2: [49, 21, 1] from Operation: 2-1=1 Current State: 27:[49, 21, 1], Operations: ['2-1=1'] Exploring Operation: 49-21=28, Resulting Numbers: [1, 28] Generated Node #3: [1, 28] from Operation: 49-21=28 Current State: 27:[1, 28], Operations: ['2-1=1', '49-21=28'] Exploring Operation: 28-1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 11, 85, 28, 18 ]
81
[ "18-11=7", "28/7=4", "85-4=81" ]
Current State: 81:[11, 85, 28, 18], Operations: [] Exploring Operation: 18-11=7, Resulting Numbers: [85, 28, 7] Generated Node #2: [85, 28, 7] from Operation: 18-11=7 Current State: 81:[85, 28, 7], Operations: ['18-11=7'] Exploring Operation: 28/7=4, Resulting Numbers: [85, 4] Generated Node #3: [85, 4] from Operation: 28/7=4 Current State: 81:[85, 4], Operations: ['18-11=7', '28/7=4'] Exploring Operation: 85-4=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 29, 16, 92, 5 ]
69
[ "29*5=145", "92-16=76", "145-76=69" ]
Current State: 69:[29, 16, 92, 5], Operations: [] Exploring Operation: 29*5=145, Resulting Numbers: [16, 92, 145] Generated Node #2: [16, 92, 145] from Operation: 29*5=145 Current State: 69:[16, 92, 145], Operations: ['29*5=145'] Exploring Operation: 92-16=76, Resulting Numbers: [145, 76] Generated Node #3: [145, 76] from Operation: 92-16=76 Current State: 69:[145, 76], Operations: ['29*5=145', '92-16=76'] Exploring Operation: 145-76=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 78, 75, 42, 73 ]
27
[ "78-73=5", "75/5=15", "42-15=27" ]
Current State: 27:[78, 75, 42, 73], Operations: [] Exploring Operation: 78-73=5, Resulting Numbers: [75, 42, 5] Generated Node #2: [75, 42, 5] from Operation: 78-73=5 Current State: 27:[75, 42, 5], Operations: ['78-73=5'] Exploring Operation: 75/5=15, Resulting Numbers: [42, 15] Generated Node #3: [42, 15] from Operation: 75/5=15 Current State: 27:[42, 15], Operations: ['78-73=5', '75/5=15'] Exploring Operation: 42-15=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 26, 8, 71, 51 ]
38
[ "26-8=18", "71-51=20", "18+20=38" ]
Current State: 38:[26, 8, 71, 51], Operations: [] Exploring Operation: 26-8=18, Resulting Numbers: [71, 51, 18] Generated Node #2: [71, 51, 18] from Operation: 26-8=18 Current State: 38:[71, 51, 18], Operations: ['26-8=18'] Exploring Operation: 71-51=20, Resulting Numbers: [18, 20] Generated Node #3: [18, 20] from Operation: 71-51=20 Current State: 38:[18, 20], Operations: ['26-8=18', '71-51=20'] Exploring Operation: 18+20=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 92, 99, 77, 81 ]
86
[ "92-81=11", "99/11=9", "77+9=86" ]
Current State: 86:[92, 99, 77, 81], Operations: [] Exploring Operation: 92-81=11, Resulting Numbers: [99, 77, 11] Generated Node #2: [99, 77, 11] from Operation: 92-81=11 Current State: 86:[99, 77, 11], Operations: ['92-81=11'] Exploring Operation: 99/11=9, Resulting Numbers: [77, 9] Generated Node #3: [77, 9] from Operation: 99/11=9 Current State: 86:[77, 9], Operations: ['92-81=11', '99/11=9'] Exploring Operation: 77+9=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 64, 24, 40, 48 ]
32
[ "64-24=40", "48-40=8", "40-8=32" ]
Current State: 32:[64, 24, 40, 48], Operations: [] Exploring Operation: 64-24=40, Resulting Numbers: [40, 48, 40] Generated Node #2: [40, 48, 40] from Operation: 64-24=40 Current State: 32:[40, 48, 40], Operations: ['64-24=40'] Exploring Operation: 48-40=8, Resulting Numbers: [8] 8,32 equal: Goal Reached Exploring Operation: 40-8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 63, 90, 81, 51 ]
84
[ "63+90=153", "153/51=3", "81+3=84" ]
Current State: 84:[63, 90, 81, 51], Operations: [] Exploring Operation: 63+90=153, Resulting Numbers: [81, 51, 153] Generated Node #2: [81, 51, 153] from Operation: 63+90=153 Current State: 84:[81, 51, 153], Operations: ['63+90=153'] Exploring Operation: 153/51=3, Resulting Numbers: [81, 3] Generated Node #3: [81, 3] from Operation: 153/51=3 Current State: 84:[81, 3], Operations: ['63+90=153', '153/51=3'] Exploring Operation: 81+3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4