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
[ 99, 42, 3, 94 ]
27
[ "99-94=5", "3*5=15", "42-15=27" ]
Current State: 27:[99, 42, 3, 94], Operations: [] Exploring Operation: 99-94=5, Resulting Numbers: [42, 3, 5] Generated Node #2: [42, 3, 5] from Operation: 99-94=5 Current State: 27:[42, 3, 5], Operations: ['99-94=5'] Exploring Operation: 3*5=15, Resulting Numbers: [42, 15] Generated Node #3: [42, 15] from Operation: 3*5=15 Current State: 27:[42, 15], Operations: ['99-94=5', '3*5=15'] Exploring Operation: 42-15=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 62, 81, 11, 83 ]
42
[ "83-81=2", "62/2=31", "11+31=42" ]
Current State: 42:[62, 81, 11, 83], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [62, 11, 2] Generated Node #2: [62, 11, 2] from Operation: 83-81=2 Current State: 42:[62, 11, 2], Operations: ['83-81=2'] Exploring Operation: 62/2=31, Resulting Numbers: [11, 31] Generated Node #3: [11, 31] from Operation: 62/2=31 Current State: 42:[11, 31], Operations: ['83-81=2', '62/2=31'] Exploring Operation: 11+31=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 94, 15, 34, 20 ]
80
[ "94-34=60", "60/15=4", "20*4=80" ]
Current State: 80:[94, 15, 34, 20], Operations: [] Exploring Operation: 94-34=60, Resulting Numbers: [15, 20, 60] Generated Node #2: [15, 20, 60] from Operation: 94-34=60 Current State: 80:[15, 20, 60], Operations: ['94-34=60'] Exploring Operation: 60/15=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 60/15=4 Current State: 80:[20, 4], Operations: ['94-34=60', '60/15=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 33, 35, 34, 2 ]
19
[ "35-33=2", "34/2=17", "2+17=19" ]
Current State: 19:[33, 35, 34, 2], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [34, 2, 2] Generated Node #2: [34, 2, 2] from Operation: 35-33=2 Current State: 19:[34, 2, 2], Operations: ['35-33=2'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,19 equal: Goal Reached Exploring Operation: 2+17=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 32, 10, 12, 13 ]
77
[ "12-10=2", "32*2=64", "13+64=77" ]
Current State: 77:[32, 10, 12, 13], Operations: [] Exploring Operation: 12-10=2, Resulting Numbers: [32, 13, 2] Generated Node #2: [32, 13, 2] from Operation: 12-10=2 Current State: 77:[32, 13, 2], Operations: ['12-10=2'] Exploring Operation: 32*2=64, Resulting Numbers: [13, 64] Generated Node #3: [13, 64] from Operation: 32*2=64 Current State: 77:[13, 64], Operations: ['12-10=2', '32*2=64'] Exploring Operation: 13+64=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 59, 45, 78, 3 ]
89
[ "59-45=14", "78-3=75", "14+75=89" ]
Current State: 89:[59, 45, 78, 3], Operations: [] Exploring Operation: 59-45=14, Resulting Numbers: [78, 3, 14] Generated Node #2: [78, 3, 14] from Operation: 59-45=14 Current State: 89:[78, 3, 14], Operations: ['59-45=14'] Exploring Operation: 78-3=75, Resulting Numbers: [14, 75] Generated Node #3: [14, 75] from Operation: 78-3=75 Current State: 89:[14, 75], Operations: ['59-45=14', '78-3=75'] Exploring Operation: 14+75=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 76, 15, 26, 48 ]
30
[ "76-26=50", "50-48=2", "15*2=30" ]
Current State: 30:[76, 15, 26, 48], Operations: [] Exploring Operation: 76-26=50, Resulting Numbers: [15, 48, 50] Generated Node #2: [15, 48, 50] from Operation: 76-26=50 Current State: 30:[15, 48, 50], Operations: ['76-26=50'] Exploring Operation: 50-48=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 50-48=2 Current State: 30:[15, 2], Operations: ['76-26=50', '50-48=2'] Exploring Operation: 15*2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 47, 11, 22, 2 ]
80
[ "47-11=36", "22*2=44", "36+44=80" ]
Current State: 80:[47, 11, 22, 2], Operations: [] Exploring Operation: 47-11=36, Resulting Numbers: [22, 2, 36] Generated Node #2: [22, 2, 36] from Operation: 47-11=36 Current State: 80:[22, 2, 36], Operations: ['47-11=36'] Exploring Operation: 22*2=44, Resulting Numbers: [36, 44] Generated Node #3: [36, 44] from Operation: 22*2=44 Current State: 80:[36, 44], Operations: ['47-11=36', '22*2=44'] Exploring Operation: 36+44=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 68, 3, 70, 56 ]
74
[ "68-56=12", "12/3=4", "70+4=74" ]
Current State: 74:[68, 3, 70, 56], Operations: [] Exploring Operation: 68-56=12, Resulting Numbers: [3, 70, 12] Generated Node #2: [3, 70, 12] from Operation: 68-56=12 Current State: 74:[3, 70, 12], Operations: ['68-56=12'] Exploring Operation: 12/3=4, Resulting Numbers: [70, 4] Generated Node #3: [70, 4] from Operation: 12/3=4 Current State: 74:[70, 4], Operations: ['68-56=12', '12/3=4'] Exploring Operation: 70+4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 21, 84, 2, 97 ]
29
[ "84-21=63", "2*63=126", "126-97=29" ]
Current State: 29:[21, 84, 2, 97], Operations: [] Exploring Operation: 84-21=63, Resulting Numbers: [2, 97, 63] Generated Node #2: [2, 97, 63] from Operation: 84-21=63 Current State: 29:[2, 97, 63], Operations: ['84-21=63'] Exploring Operation: 2*63=126, Resulting Numbers: [97, 126] Generated Node #3: [97, 126] from Operation: 2*63=126 Current State: 29:[97, 126], Operations: ['84-21=63', '2*63=126'] Exploring Operation: 126-97=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 17, 74, 99, 18 ]
60
[ "74-17=57", "99+18=117", "117-57=60" ]
Current State: 60:[17, 74, 99, 18], Operations: [] Exploring Operation: 74-17=57, Resulting Numbers: [99, 18, 57] Generated Node #2: [99, 18, 57] from Operation: 74-17=57 Current State: 60:[99, 18, 57], Operations: ['74-17=57'] Exploring Operation: 99+18=117, Resulting Numbers: [57, 117] Generated Node #3: [57, 117] from Operation: 99+18=117 Current State: 60:[57, 117], Operations: ['74-17=57', '99+18=117'] Exploring Operation: 117-57=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 21, 22, 4, 12 ]
91
[ "21+22=43", "4*12=48", "43+48=91" ]
Current State: 91:[21, 22, 4, 12], Operations: [] Exploring Operation: 21+22=43, Resulting Numbers: [4, 12, 43] Generated Node #2: [4, 12, 43] from Operation: 21+22=43 Current State: 91:[4, 12, 43], Operations: ['21+22=43'] Exploring Operation: 4*12=48, Resulting Numbers: [43, 48] Generated Node #3: [43, 48] from Operation: 4*12=48 Current State: 91:[43, 48], Operations: ['21+22=43', '4*12=48'] Exploring Operation: 43+48=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 7, 31, 66, 65 ]
37
[ "7+31=38", "66-65=1", "38-1=37" ]
Current State: 37:[7, 31, 66, 65], Operations: [] Exploring Operation: 7+31=38, Resulting Numbers: [66, 65, 38] Generated Node #2: [66, 65, 38] from Operation: 7+31=38 Current State: 37:[66, 65, 38], Operations: ['7+31=38'] Exploring Operation: 66-65=1, Resulting Numbers: [38, 1] Generated Node #3: [38, 1] from Operation: 66-65=1 Current State: 37:[38, 1], Operations: ['7+31=38', '66-65=1'] Exploring Operation: 38-1=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 18, 30, 50, 60 ]
54
[ "18*30=540", "60-50=10", "540/10=54" ]
Current State: 54:[18, 30, 50, 60], Operations: [] Exploring Operation: 18*30=540, Resulting Numbers: [50, 60, 540] Generated Node #2: [50, 60, 540] from Operation: 18*30=540 Current State: 54:[50, 60, 540], Operations: ['18*30=540'] Exploring Operation: 60-50=10, Resulting Numbers: [540, 10] Generated Node #3: [540, 10] from Operation: 60-50=10 Current State: 54:[540, 10], Operations: ['18*30=540', '60-50=10'] Exploring Operation: 540/10=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 94, 85, 13, 15 ]
18
[ "94-85=9", "15-13=2", "9*2=18" ]
Current State: 18:[94, 85, 13, 15], Operations: [] Exploring Operation: 94-85=9, Resulting Numbers: [13, 15, 9] Generated Node #2: [13, 15, 9] from Operation: 94-85=9 Current State: 18:[13, 15, 9], Operations: ['94-85=9'] Exploring Operation: 15-13=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 15-13=2 Current State: 18:[9, 2], Operations: ['94-85=9', '15-13=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 80, 44, 34, 8 ]
17
[ "80+8=88", "44*34=1496", "1496/88=17" ]
Current State: 17:[80, 44, 34, 8], Operations: [] Exploring Operation: 80+8=88, Resulting Numbers: [44, 34, 88] Generated Node #2: [44, 34, 88] from Operation: 80+8=88 Current State: 17:[44, 34, 88], Operations: ['80+8=88'] Exploring Operation: 44*34=1496, Resulting Numbers: [88, 1496] Generated Node #3: [88, 1496] from Operation: 44*34=1496 Current State: 17:[88, 1496], Operations: ['80+8=88', '44*34=1496'] Exploring Operation: 1496/88=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 3, 93, 12, 14 ]
99
[ "14-12=2", "3*2=6", "93+6=99" ]
Current State: 99:[3, 93, 12, 14], Operations: [] Exploring Operation: 14-12=2, Resulting Numbers: [3, 93, 2] Generated Node #2: [3, 93, 2] from Operation: 14-12=2 Current State: 99:[3, 93, 2], Operations: ['14-12=2'] Exploring Operation: 3*2=6, Resulting Numbers: [93, 6] Generated Node #3: [93, 6] from Operation: 3*2=6 Current State: 99:[93, 6], Operations: ['14-12=2', '3*2=6'] Exploring Operation: 93+6=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 77, 1, 51, 70 ]
58
[ "77*1=77", "70-51=19", "77-19=58" ]
Current State: 58:[77, 1, 51, 70], Operations: [] Exploring Operation: 77*1=77, Resulting Numbers: [51, 70, 77] Generated Node #2: [51, 70, 77] from Operation: 77*1=77 Current State: 58:[51, 70, 77], Operations: ['77*1=77'] Exploring Operation: 70-51=19, Resulting Numbers: [77, 19] Generated Node #3: [77, 19] from Operation: 70-51=19 Current State: 58:[77, 19], Operations: ['77*1=77', '70-51=19'] Exploring Operation: 77-19=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 15, 32, 21, 90 ]
52
[ "32-15=17", "90-21=69", "69-17=52" ]
Current State: 52:[15, 32, 21, 90], Operations: [] Exploring Operation: 32-15=17, Resulting Numbers: [21, 90, 17] Generated Node #2: [21, 90, 17] from Operation: 32-15=17 Current State: 52:[21, 90, 17], Operations: ['32-15=17'] Exploring Operation: 90-21=69, Resulting Numbers: [17, 69] Generated Node #3: [17, 69] from Operation: 90-21=69 Current State: 52:[17, 69], Operations: ['32-15=17', '90-21=69'] Exploring Operation: 69-17=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 3, 70, 35, 36 ]
71
[ "3*35=105", "70-36=34", "105-34=71" ]
Current State: 71:[3, 70, 35, 36], Operations: [] Exploring Operation: 3*35=105, Resulting Numbers: [70, 36, 105] Generated Node #2: [70, 36, 105] from Operation: 3*35=105 Current State: 71:[70, 36, 105], Operations: ['3*35=105'] Exploring Operation: 70-36=34, Resulting Numbers: [105, 34] Generated Node #3: [105, 34] from Operation: 70-36=34 Current State: 71:[105, 34], Operations: ['3*35=105', '70-36=34'] Exploring Operation: 105-34=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 8, 56, 15, 32 ]
10
[ "56-8=48", "15*32=480", "480/48=10" ]
Current State: 10:[8, 56, 15, 32], Operations: [] Exploring Operation: 56-8=48, Resulting Numbers: [15, 32, 48] Generated Node #2: [15, 32, 48] from Operation: 56-8=48 Current State: 10:[15, 32, 48], Operations: ['56-8=48'] Exploring Operation: 15*32=480, Resulting Numbers: [48, 480] Generated Node #3: [48, 480] from Operation: 15*32=480 Current State: 10:[48, 480], Operations: ['56-8=48', '15*32=480'] Exploring Operation: 480/48=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 12, 56, 54, 13 ]
46
[ "12*13=156", "56+54=110", "156-110=46" ]
Current State: 46:[12, 56, 54, 13], Operations: [] Exploring Operation: 12*13=156, Resulting Numbers: [56, 54, 156] Generated Node #2: [56, 54, 156] from Operation: 12*13=156 Current State: 46:[56, 54, 156], Operations: ['12*13=156'] Exploring Operation: 56+54=110, Resulting Numbers: [156, 110] Generated Node #3: [156, 110] from Operation: 56+54=110 Current State: 46:[156, 110], Operations: ['12*13=156', '56+54=110'] Exploring Operation: 156-110=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 51, 11, 13, 85 ]
58
[ "51-11=40", "13+85=98", "98-40=58" ]
Current State: 58:[51, 11, 13, 85], Operations: [] Exploring Operation: 51-11=40, Resulting Numbers: [13, 85, 40] Generated Node #2: [13, 85, 40] from Operation: 51-11=40 Current State: 58:[13, 85, 40], Operations: ['51-11=40'] Exploring Operation: 13+85=98, Resulting Numbers: [40, 98] Generated Node #3: [40, 98] from Operation: 13+85=98 Current State: 58:[40, 98], Operations: ['51-11=40', '13+85=98'] Exploring Operation: 98-40=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 27, 26, 91, 71 ]
73
[ "27+26=53", "91-71=20", "53+20=73" ]
Current State: 73:[27, 26, 91, 71], Operations: [] Exploring Operation: 27+26=53, Resulting Numbers: [91, 71, 53] Generated Node #2: [91, 71, 53] from Operation: 27+26=53 Current State: 73:[91, 71, 53], Operations: ['27+26=53'] Exploring Operation: 91-71=20, Resulting Numbers: [53, 20] Generated Node #3: [53, 20] from Operation: 91-71=20 Current State: 73:[53, 20], Operations: ['27+26=53', '91-71=20'] Exploring Operation: 53+20=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 40, 26, 45, 61 ]
65
[ "40*26=1040", "61-45=16", "1040/16=65" ]
Current State: 65:[40, 26, 45, 61], Operations: [] Exploring Operation: 40*26=1040, Resulting Numbers: [45, 61, 1040] Generated Node #2: [45, 61, 1040] from Operation: 40*26=1040 Current State: 65:[45, 61, 1040], Operations: ['40*26=1040'] Exploring Operation: 61-45=16, Resulting Numbers: [1040, 16] Generated Node #3: [1040, 16] from Operation: 61-45=16 Current State: 65:[1040, 16], Operations: ['40*26=1040', '61-45=16'] Exploring Operation: 1040/16=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 95, 14, 5, 67 ]
100
[ "95/5=19", "14+67=81", "19+81=100" ]
Current State: 100:[95, 14, 5, 67], Operations: [] Exploring Operation: 95/5=19, Resulting Numbers: [14, 67, 19] Generated Node #2: [14, 67, 19] from Operation: 95/5=19 Current State: 100:[14, 67, 19], Operations: ['95/5=19'] Exploring Operation: 14+67=81, Resulting Numbers: [19, 81] Generated Node #3: [19, 81] from Operation: 14+67=81 Current State: 100:[19, 81], Operations: ['95/5=19', '14+67=81'] Exploring Operation: 19+81=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 88, 96, 33, 55 ]
80
[ "96-88=8", "33+55=88", "88-8=80" ]
Current State: 80:[88, 96, 33, 55], Operations: [] Exploring Operation: 96-88=8, Resulting Numbers: [33, 55, 8] Generated Node #2: [33, 55, 8] from Operation: 96-88=8 Current State: 80:[33, 55, 8], Operations: ['96-88=8'] Exploring Operation: 33+55=88, Resulting Numbers: [8, 88] Generated Node #3: [8, 88] from Operation: 33+55=88 Current State: 80:[8, 88], Operations: ['96-88=8', '33+55=88'] Exploring Operation: 88-8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 76, 19, 73, 53 ]
37
[ "76-19=57", "73-53=20", "57-20=37" ]
Current State: 37:[76, 19, 73, 53], Operations: [] Exploring Operation: 76-19=57, Resulting Numbers: [73, 53, 57] Generated Node #2: [73, 53, 57] from Operation: 76-19=57 Current State: 37:[73, 53, 57], Operations: ['76-19=57'] Exploring Operation: 73-53=20, Resulting Numbers: [57, 20] Generated Node #3: [57, 20] from Operation: 73-53=20 Current State: 37:[57, 20], Operations: ['76-19=57', '73-53=20'] Exploring Operation: 57-20=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 96, 21, 68, 24 ]
18
[ "96-68=28", "21*24=504", "504/28=18" ]
Current State: 18:[96, 21, 68, 24], Operations: [] Exploring Operation: 96-68=28, Resulting Numbers: [21, 24, 28] Generated Node #2: [21, 24, 28] from Operation: 96-68=28 Current State: 18:[21, 24, 28], Operations: ['96-68=28'] Exploring Operation: 21*24=504, Resulting Numbers: [28, 504] Generated Node #3: [28, 504] from Operation: 21*24=504 Current State: 18:[28, 504], Operations: ['96-68=28', '21*24=504'] Exploring Operation: 504/28=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 27, 69, 64, 59 ]
29
[ "69+59=128", "128/64=2", "27+2=29" ]
Current State: 29:[27, 69, 64, 59], Operations: [] Exploring Operation: 69+59=128, Resulting Numbers: [27, 64, 128] Generated Node #2: [27, 64, 128] from Operation: 69+59=128 Current State: 29:[27, 64, 128], Operations: ['69+59=128'] Exploring Operation: 128/64=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 128/64=2 Current State: 29:[27, 2], Operations: ['69+59=128', '128/64=2'] Exploring Operation: 27+2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 89, 69, 9, 45 ]
74
[ "89-69=20", "9+45=54", "20+54=74" ]
Current State: 74:[89, 69, 9, 45], Operations: [] Exploring Operation: 89-69=20, Resulting Numbers: [9, 45, 20] Generated Node #2: [9, 45, 20] from Operation: 89-69=20 Current State: 74:[9, 45, 20], Operations: ['89-69=20'] Exploring Operation: 9+45=54, Resulting Numbers: [20, 54] Generated Node #3: [20, 54] from Operation: 9+45=54 Current State: 74:[20, 54], Operations: ['89-69=20', '9+45=54'] Exploring Operation: 20+54=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 85, 9, 7, 88 ]
36
[ "85+7=92", "92-88=4", "9*4=36" ]
Current State: 36:[85, 9, 7, 88], Operations: [] Exploring Operation: 85+7=92, Resulting Numbers: [9, 88, 92] Generated Node #2: [9, 88, 92] from Operation: 85+7=92 Current State: 36:[9, 88, 92], Operations: ['85+7=92'] Exploring Operation: 92-88=4, Resulting Numbers: [9, 4] Generated Node #3: [9, 4] from Operation: 92-88=4 Current State: 36:[9, 4], Operations: ['85+7=92', '92-88=4'] Exploring Operation: 9*4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 72, 26, 2, 78 ]
38
[ "78-72=6", "2*6=12", "26+12=38" ]
Current State: 38:[72, 26, 2, 78], Operations: [] Exploring Operation: 78-72=6, Resulting Numbers: [26, 2, 6] Generated Node #2: [26, 2, 6] from Operation: 78-72=6 Current State: 38:[26, 2, 6], Operations: ['78-72=6'] Exploring Operation: 2*6=12, Resulting Numbers: [26, 12] Generated Node #3: [26, 12] from Operation: 2*6=12 Current State: 38:[26, 12], Operations: ['78-72=6', '2*6=12'] Exploring Operation: 26+12=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 30, 2, 67, 86 ]
54
[ "30+67=97", "86/2=43", "97-43=54" ]
Current State: 54:[30, 2, 67, 86], Operations: [] Exploring Operation: 30+67=97, Resulting Numbers: [2, 86, 97] Generated Node #2: [2, 86, 97] from Operation: 30+67=97 Current State: 54:[2, 86, 97], Operations: ['30+67=97'] Exploring Operation: 86/2=43, Resulting Numbers: [97, 43] Generated Node #3: [97, 43] from Operation: 86/2=43 Current State: 54:[97, 43], Operations: ['30+67=97', '86/2=43'] Exploring Operation: 97-43=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 10, 82, 55, 20 ]
70
[ "82-55=27", "27-20=7", "10*7=70" ]
Current State: 70:[10, 82, 55, 20], Operations: [] Exploring Operation: 82-55=27, Resulting Numbers: [10, 20, 27] Generated Node #2: [10, 20, 27] from Operation: 82-55=27 Current State: 70:[10, 20, 27], Operations: ['82-55=27'] Exploring Operation: 27-20=7, Resulting Numbers: [10, 7] Generated Node #3: [10, 7] from Operation: 27-20=7 Current State: 70:[10, 7], Operations: ['82-55=27', '27-20=7'] Exploring Operation: 10*7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 53, 69, 72, 20 ]
90
[ "69-53=16", "72*20=1440", "1440/16=90" ]
Current State: 90:[53, 69, 72, 20], Operations: [] Exploring Operation: 69-53=16, Resulting Numbers: [72, 20, 16] Generated Node #2: [72, 20, 16] from Operation: 69-53=16 Current State: 90:[72, 20, 16], Operations: ['69-53=16'] Exploring Operation: 72*20=1440, Resulting Numbers: [16, 1440] Generated Node #3: [16, 1440] from Operation: 72*20=1440 Current State: 90:[16, 1440], Operations: ['69-53=16', '72*20=1440'] Exploring Operation: 1440/16=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 15, 24, 3, 15 ]
54
[ "24-15=9", "3*15=45", "9+45=54" ]
Current State: 54:[15, 24, 3, 15], Operations: [] Exploring Operation: 24-15=9, Resulting Numbers: [3, 9] Generated Node #2: [3, 9] from Operation: 24-15=9 Current State: 54:[3, 9], Operations: ['24-15=9'] Exploring Operation: 3*15=45, Resulting Numbers: [9, 45] Generated Node #3: [9, 45] from Operation: 3*15=45 Current State: 54:[9, 45], Operations: ['24-15=9', '3*15=45'] Exploring Operation: 9+45=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 60, 94, 85, 83 ]
14
[ "60+94=154", "85+83=168", "168-154=14" ]
Current State: 14:[60, 94, 85, 83], Operations: [] Exploring Operation: 60+94=154, Resulting Numbers: [85, 83, 154] Generated Node #2: [85, 83, 154] from Operation: 60+94=154 Current State: 14:[85, 83, 154], Operations: ['60+94=154'] Exploring Operation: 85+83=168, Resulting Numbers: [154, 168] Generated Node #3: [154, 168] from Operation: 85+83=168 Current State: 14:[154, 168], Operations: ['60+94=154', '85+83=168'] Exploring Operation: 168-154=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 2, 58, 13, 9 ]
41
[ "2*13=26", "58+9=67", "67-26=41" ]
Current State: 41:[2, 58, 13, 9], Operations: [] Exploring Operation: 2*13=26, Resulting Numbers: [58, 9, 26] Generated Node #2: [58, 9, 26] from Operation: 2*13=26 Current State: 41:[58, 9, 26], Operations: ['2*13=26'] Exploring Operation: 58+9=67, Resulting Numbers: [26, 67] Generated Node #3: [26, 67] from Operation: 58+9=67 Current State: 41:[26, 67], Operations: ['2*13=26', '58+9=67'] Exploring Operation: 67-26=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 58, 44, 46, 43 ]
30
[ "58-43=15", "46-44=2", "15*2=30" ]
Current State: 30:[58, 44, 46, 43], Operations: [] Exploring Operation: 58-43=15, Resulting Numbers: [44, 46, 15] Generated Node #2: [44, 46, 15] from Operation: 58-43=15 Current State: 30:[44, 46, 15], Operations: ['58-43=15'] Exploring Operation: 46-44=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 46-44=2 Current State: 30:[15, 2], Operations: ['58-43=15', '46-44=2'] Exploring Operation: 15*2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 69, 7, 9, 54 ]
82
[ "69+7=76", "54/9=6", "76+6=82" ]
Current State: 82:[69, 7, 9, 54], Operations: [] Exploring Operation: 69+7=76, Resulting Numbers: [9, 54, 76] Generated Node #2: [9, 54, 76] from Operation: 69+7=76 Current State: 82:[9, 54, 76], Operations: ['69+7=76'] Exploring Operation: 54/9=6, Resulting Numbers: [76, 6] Generated Node #3: [76, 6] from Operation: 54/9=6 Current State: 82:[76, 6], Operations: ['69+7=76', '54/9=6'] Exploring Operation: 76+6=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 31, 21, 45, 42 ]
97
[ "31-21=10", "45+42=87", "10+87=97" ]
Current State: 97:[31, 21, 45, 42], Operations: [] Exploring Operation: 31-21=10, Resulting Numbers: [45, 42, 10] Generated Node #2: [45, 42, 10] from Operation: 31-21=10 Current State: 97:[45, 42, 10], Operations: ['31-21=10'] Exploring Operation: 45+42=87, Resulting Numbers: [10, 87] Generated Node #3: [10, 87] from Operation: 45+42=87 Current State: 97:[10, 87], Operations: ['31-21=10', '45+42=87'] Exploring Operation: 10+87=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 21, 88, 74, 18 ]
53
[ "21+88=109", "74-18=56", "109-56=53" ]
Current State: 53:[21, 88, 74, 18], Operations: [] Exploring Operation: 21+88=109, Resulting Numbers: [74, 18, 109] Generated Node #2: [74, 18, 109] from Operation: 21+88=109 Current State: 53:[74, 18, 109], Operations: ['21+88=109'] Exploring Operation: 74-18=56, Resulting Numbers: [109, 56] Generated Node #3: [109, 56] from Operation: 74-18=56 Current State: 53:[109, 56], Operations: ['21+88=109', '74-18=56'] Exploring Operation: 109-56=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 95, 2, 70, 42 ]
87
[ "95-42=53", "2*70=140", "140-53=87" ]
Current State: 87:[95, 2, 70, 42], Operations: [] Exploring Operation: 95-42=53, Resulting Numbers: [2, 70, 53] Generated Node #2: [2, 70, 53] from Operation: 95-42=53 Current State: 87:[2, 70, 53], Operations: ['95-42=53'] Exploring Operation: 2*70=140, Resulting Numbers: [53, 140] Generated Node #3: [53, 140] from Operation: 2*70=140 Current State: 87:[53, 140], Operations: ['95-42=53', '2*70=140'] Exploring Operation: 140-53=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 44, 26, 90, 54 ]
74
[ "44+26=70", "90+54=144", "144-70=74" ]
Current State: 74:[44, 26, 90, 54], Operations: [] Exploring Operation: 44+26=70, Resulting Numbers: [90, 54, 70] Generated Node #2: [90, 54, 70] from Operation: 44+26=70 Current State: 74:[90, 54, 70], Operations: ['44+26=70'] Exploring Operation: 90+54=144, Resulting Numbers: [70, 144] Generated Node #3: [70, 144] from Operation: 90+54=144 Current State: 74:[70, 144], Operations: ['44+26=70', '90+54=144'] Exploring Operation: 144-70=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 59, 56, 51, 79 ]
84
[ "59-56=3", "79-51=28", "3*28=84" ]
Current State: 84:[59, 56, 51, 79], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [51, 79, 3] Generated Node #2: [51, 79, 3] from Operation: 59-56=3 Current State: 84:[51, 79, 3], Operations: ['59-56=3'] Exploring Operation: 79-51=28, Resulting Numbers: [3, 28] Generated Node #3: [3, 28] from Operation: 79-51=28 Current State: 84:[3, 28], Operations: ['59-56=3', '79-51=28'] Exploring Operation: 3*28=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 50, 60, 30, 59 ]
18
[ "59-50=9", "60/30=2", "9*2=18" ]
Current State: 18:[50, 60, 30, 59], Operations: [] Exploring Operation: 59-50=9, Resulting Numbers: [60, 30, 9] Generated Node #2: [60, 30, 9] from Operation: 59-50=9 Current State: 18:[60, 30, 9], Operations: ['59-50=9'] Exploring Operation: 60/30=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 60/30=2 Current State: 18:[9, 2], Operations: ['59-50=9', '60/30=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 90, 5, 97, 48 ]
46
[ "90+5=95", "97-48=49", "95-49=46" ]
Current State: 46:[90, 5, 97, 48], Operations: [] Exploring Operation: 90+5=95, Resulting Numbers: [97, 48, 95] Generated Node #2: [97, 48, 95] from Operation: 90+5=95 Current State: 46:[97, 48, 95], Operations: ['90+5=95'] Exploring Operation: 97-48=49, Resulting Numbers: [95, 49] Generated Node #3: [95, 49] from Operation: 97-48=49 Current State: 46:[95, 49], Operations: ['90+5=95', '97-48=49'] Exploring Operation: 95-49=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 4, 13, 64, 12 ]
25
[ "12/4=3", "13*3=39", "64-39=25" ]
Current State: 25:[4, 13, 64, 12], Operations: [] Exploring Operation: 12/4=3, Resulting Numbers: [13, 64, 3] Generated Node #2: [13, 64, 3] from Operation: 12/4=3 Current State: 25:[13, 64, 3], Operations: ['12/4=3'] Exploring Operation: 13*3=39, Resulting Numbers: [64, 39] Generated Node #3: [64, 39] from Operation: 13*3=39 Current State: 25:[64, 39], Operations: ['12/4=3', '13*3=39'] Exploring Operation: 64-39=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 62, 6, 8, 36 ]
24
[ "62+6=68", "8+36=44", "68-44=24" ]
Current State: 24:[62, 6, 8, 36], Operations: [] Exploring Operation: 62+6=68, Resulting Numbers: [8, 36, 68] Generated Node #2: [8, 36, 68] from Operation: 62+6=68 Current State: 24:[8, 36, 68], Operations: ['62+6=68'] Exploring Operation: 8+36=44, Resulting Numbers: [68, 44] Generated Node #3: [68, 44] from Operation: 8+36=44 Current State: 24:[68, 44], Operations: ['62+6=68', '8+36=44'] Exploring Operation: 68-44=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 44, 56, 97, 88 ]
82
[ "88/44=2", "97-56=41", "2*41=82" ]
Current State: 82:[44, 56, 97, 88], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [56, 97, 2] Generated Node #2: [56, 97, 2] from Operation: 88/44=2 Current State: 82:[56, 97, 2], Operations: ['88/44=2'] Exploring Operation: 97-56=41, Resulting Numbers: [2, 41] Generated Node #3: [2, 41] from Operation: 97-56=41 Current State: 82:[2, 41], Operations: ['88/44=2', '97-56=41'] Exploring Operation: 2*41=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 98, 51, 49, 97 ]
23
[ "98/49=2", "97-51=46", "46/2=23" ]
Current State: 23:[98, 51, 49, 97], Operations: [] Exploring Operation: 98/49=2, Resulting Numbers: [51, 97, 2] Generated Node #2: [51, 97, 2] from Operation: 98/49=2 Current State: 23:[51, 97, 2], Operations: ['98/49=2'] Exploring Operation: 97-51=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 97-51=46 Current State: 23:[2, 46], Operations: ['98/49=2', '97-51=46'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 11, 50, 78, 22 ]
30
[ "22/11=2", "78-50=28", "2+28=30" ]
Current State: 30:[11, 50, 78, 22], Operations: [] Exploring Operation: 22/11=2, Resulting Numbers: [50, 78, 2] Generated Node #2: [50, 78, 2] from Operation: 22/11=2 Current State: 30:[50, 78, 2], Operations: ['22/11=2'] Exploring Operation: 78-50=28, Resulting Numbers: [2, 28] Generated Node #3: [2, 28] from Operation: 78-50=28 Current State: 30:[2, 28], Operations: ['22/11=2', '78-50=28'] Exploring Operation: 2+28=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 65, 46, 99, 96 ]
37
[ "65+46=111", "99-96=3", "111/3=37" ]
Current State: 37:[65, 46, 99, 96], Operations: [] Exploring Operation: 65+46=111, Resulting Numbers: [99, 96, 111] Generated Node #2: [99, 96, 111] from Operation: 65+46=111 Current State: 37:[99, 96, 111], Operations: ['65+46=111'] Exploring Operation: 99-96=3, Resulting Numbers: [111, 3] Generated Node #3: [111, 3] from Operation: 99-96=3 Current State: 37:[111, 3], Operations: ['65+46=111', '99-96=3'] Exploring Operation: 111/3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 8, 81, 84, 62 ]
68
[ "81-62=19", "8*19=152", "152-84=68" ]
Current State: 68:[8, 81, 84, 62], Operations: [] Exploring Operation: 81-62=19, Resulting Numbers: [8, 84, 19] Generated Node #2: [8, 84, 19] from Operation: 81-62=19 Current State: 68:[8, 84, 19], Operations: ['81-62=19'] Exploring Operation: 8*19=152, Resulting Numbers: [84, 152] Generated Node #3: [84, 152] from Operation: 8*19=152 Current State: 68:[84, 152], Operations: ['81-62=19', '8*19=152'] Exploring Operation: 152-84=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 73, 22, 48, 87 ]
56
[ "73+22=95", "87-48=39", "95-39=56" ]
Current State: 56:[73, 22, 48, 87], Operations: [] Exploring Operation: 73+22=95, Resulting Numbers: [48, 87, 95] Generated Node #2: [48, 87, 95] from Operation: 73+22=95 Current State: 56:[48, 87, 95], Operations: ['73+22=95'] Exploring Operation: 87-48=39, Resulting Numbers: [95, 39] Generated Node #3: [95, 39] from Operation: 87-48=39 Current State: 56:[95, 39], Operations: ['73+22=95', '87-48=39'] Exploring Operation: 95-39=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 83, 66, 4, 2 ]
41
[ "66-4=62", "2*62=124", "124-83=41" ]
Current State: 41:[83, 66, 4, 2], Operations: [] Exploring Operation: 66-4=62, Resulting Numbers: [83, 2, 62] Generated Node #2: [83, 2, 62] from Operation: 66-4=62 Current State: 41:[83, 2, 62], Operations: ['66-4=62'] Exploring Operation: 2*62=124, Resulting Numbers: [83, 124] Generated Node #3: [83, 124] from Operation: 2*62=124 Current State: 41:[83, 124], Operations: ['66-4=62', '2*62=124'] Exploring Operation: 124-83=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 31, 90, 85, 87 ]
28
[ "87-85=2", "31*2=62", "90-62=28" ]
Current State: 28:[31, 90, 85, 87], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [31, 90, 2] Generated Node #2: [31, 90, 2] from Operation: 87-85=2 Current State: 28:[31, 90, 2], Operations: ['87-85=2'] Exploring Operation: 31*2=62, Resulting Numbers: [90, 62] Generated Node #3: [90, 62] from Operation: 31*2=62 Current State: 28:[90, 62], Operations: ['87-85=2', '31*2=62'] Exploring Operation: 90-62=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 19, 84, 11, 72 ]
42
[ "19+84=103", "72-11=61", "103-61=42" ]
Current State: 42:[19, 84, 11, 72], Operations: [] Exploring Operation: 19+84=103, Resulting Numbers: [11, 72, 103] Generated Node #2: [11, 72, 103] from Operation: 19+84=103 Current State: 42:[11, 72, 103], Operations: ['19+84=103'] Exploring Operation: 72-11=61, Resulting Numbers: [103, 61] Generated Node #3: [103, 61] from Operation: 72-11=61 Current State: 42:[103, 61], Operations: ['19+84=103', '72-11=61'] Exploring Operation: 103-61=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 78, 87, 24, 75 ]
76
[ "87-75=12", "24/12=2", "78-2=76" ]
Current State: 76:[78, 87, 24, 75], Operations: [] Exploring Operation: 87-75=12, Resulting Numbers: [78, 24, 12] Generated Node #2: [78, 24, 12] from Operation: 87-75=12 Current State: 76:[78, 24, 12], Operations: ['87-75=12'] Exploring Operation: 24/12=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 24/12=2 Current State: 76:[78, 2], Operations: ['87-75=12', '24/12=2'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 25, 2, 12, 94 ]
94
[ "2*12=24", "25-24=1", "94*1=94" ]
Current State: 94:[25, 2, 12, 94], Operations: [] Exploring Operation: 2*12=24, Resulting Numbers: [25, 94, 24] Generated Node #2: [25, 94, 24] from Operation: 2*12=24 Current State: 94:[25, 94, 24], Operations: ['2*12=24'] Exploring Operation: 25-24=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 25-24=1 Current State: 94:[94, 1], Operations: ['2*12=24', '25-24=1'] Exploring Operation: 94*1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 57, 36, 51, 38 ]
27
[ "36*38=1368", "1368/57=24", "51-24=27" ]
Current State: 27:[57, 36, 51, 38], Operations: [] Exploring Operation: 36*38=1368, Resulting Numbers: [57, 51, 1368] Generated Node #2: [57, 51, 1368] from Operation: 36*38=1368 Current State: 27:[57, 51, 1368], Operations: ['36*38=1368'] Exploring Operation: 1368/57=24, Resulting Numbers: [51, 24] Generated Node #3: [51, 24] from Operation: 1368/57=24 Current State: 27:[51, 24], Operations: ['36*38=1368', '1368/57=24'] Exploring Operation: 51-24=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 50, 72, 12, 50 ]
40
[ "72-50=22", "12+50=62", "62-22=40" ]
Current State: 40:[50, 72, 12, 50], Operations: [] Exploring Operation: 72-50=22, Resulting Numbers: [12, 22] Generated Node #2: [12, 22] from Operation: 72-50=22 Current State: 40:[12, 22], Operations: ['72-50=22'] Exploring Operation: 12+50=62, Resulting Numbers: [22, 62] Generated Node #3: [22, 62] from Operation: 12+50=62 Current State: 40:[22, 62], Operations: ['72-50=22', '12+50=62'] Exploring Operation: 62-22=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 10, 85, 81, 58 ]
98
[ "85-10=75", "81-58=23", "75+23=98" ]
Current State: 98:[10, 85, 81, 58], Operations: [] Exploring Operation: 85-10=75, Resulting Numbers: [81, 58, 75] Generated Node #2: [81, 58, 75] from Operation: 85-10=75 Current State: 98:[81, 58, 75], Operations: ['85-10=75'] Exploring Operation: 81-58=23, Resulting Numbers: [75, 23] Generated Node #3: [75, 23] from Operation: 81-58=23 Current State: 98:[75, 23], Operations: ['85-10=75', '81-58=23'] Exploring Operation: 75+23=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 43, 12, 52, 54 ]
19
[ "54-52=2", "12*2=24", "43-24=19" ]
Current State: 19:[43, 12, 52, 54], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [43, 12, 2] Generated Node #2: [43, 12, 2] from Operation: 54-52=2 Current State: 19:[43, 12, 2], Operations: ['54-52=2'] Exploring Operation: 12*2=24, Resulting Numbers: [43, 24] Generated Node #3: [43, 24] from Operation: 12*2=24 Current State: 19:[43, 24], Operations: ['54-52=2', '12*2=24'] Exploring Operation: 43-24=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 74, 37, 43, 64 ]
42
[ "74/37=2", "64-43=21", "2*21=42" ]
Current State: 42:[74, 37, 43, 64], Operations: [] Exploring Operation: 74/37=2, Resulting Numbers: [43, 64, 2] Generated Node #2: [43, 64, 2] from Operation: 74/37=2 Current State: 42:[43, 64, 2], Operations: ['74/37=2'] Exploring Operation: 64-43=21, Resulting Numbers: [2, 21] Generated Node #3: [2, 21] from Operation: 64-43=21 Current State: 42:[2, 21], Operations: ['74/37=2', '64-43=21'] Exploring Operation: 2*21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 77, 62, 55, 63 ]
17
[ "55*63=3465", "3465/77=45", "62-45=17" ]
Current State: 17:[77, 62, 55, 63], Operations: [] Exploring Operation: 55*63=3465, Resulting Numbers: [77, 62, 3465] Generated Node #2: [77, 62, 3465] from Operation: 55*63=3465 Current State: 17:[77, 62, 3465], Operations: ['55*63=3465'] Exploring Operation: 3465/77=45, Resulting Numbers: [62, 45] Generated Node #3: [62, 45] from Operation: 3465/77=45 Current State: 17:[62, 45], Operations: ['55*63=3465', '3465/77=45'] Exploring Operation: 62-45=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 31, 95, 61, 58 ]
67
[ "95-31=64", "61-58=3", "64+3=67" ]
Current State: 67:[31, 95, 61, 58], Operations: [] Exploring Operation: 95-31=64, Resulting Numbers: [61, 58, 64] Generated Node #2: [61, 58, 64] from Operation: 95-31=64 Current State: 67:[61, 58, 64], Operations: ['95-31=64'] Exploring Operation: 61-58=3, Resulting Numbers: [64, 3] Generated Node #3: [64, 3] from Operation: 61-58=3 Current State: 67:[64, 3], Operations: ['95-31=64', '61-58=3'] Exploring Operation: 64+3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 53, 20, 12, 9 ]
53
[ "20-12=8", "9-8=1", "53*1=53" ]
Current State: 53:[53, 20, 12, 9], Operations: [] Exploring Operation: 20-12=8, Resulting Numbers: [53, 9, 8] Generated Node #2: [53, 9, 8] from Operation: 20-12=8 Current State: 53:[53, 9, 8], Operations: ['20-12=8'] Exploring Operation: 9-8=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 9-8=1 Current State: 53:[53, 1], Operations: ['20-12=8', '9-8=1'] Exploring Operation: 53*1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 23, 23, 73, 43 ]
70
[ "23+23=46", "73+43=116", "116-46=70" ]
Current State: 70:[23, 23, 73, 43], Operations: [] Exploring Operation: 23+23=46, Resulting Numbers: [73, 43, 46] Generated Node #2: [73, 43, 46] from Operation: 23+23=46 Current State: 70:[73, 43, 46], Operations: ['23+23=46'] Exploring Operation: 73+43=116, Resulting Numbers: [46, 116] Generated Node #3: [46, 116] from Operation: 73+43=116 Current State: 70:[46, 116], Operations: ['23+23=46', '73+43=116'] Exploring Operation: 116-46=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 56, 6, 65, 17 ]
10
[ "56-17=39", "6*65=390", "390/39=10" ]
Current State: 10:[56, 6, 65, 17], Operations: [] Exploring Operation: 56-17=39, Resulting Numbers: [6, 65, 39] Generated Node #2: [6, 65, 39] from Operation: 56-17=39 Current State: 10:[6, 65, 39], Operations: ['56-17=39'] Exploring Operation: 6*65=390, Resulting Numbers: [39, 390] Generated Node #3: [39, 390] from Operation: 6*65=390 Current State: 10:[39, 390], Operations: ['56-17=39', '6*65=390'] Exploring Operation: 390/39=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 56, 47, 6, 59 ]
54
[ "59-47=12", "12/6=2", "56-2=54" ]
Current State: 54:[56, 47, 6, 59], Operations: [] Exploring Operation: 59-47=12, Resulting Numbers: [56, 6, 12] Generated Node #2: [56, 6, 12] from Operation: 59-47=12 Current State: 54:[56, 6, 12], Operations: ['59-47=12'] Exploring Operation: 12/6=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 12/6=2 Current State: 54:[56, 2], Operations: ['59-47=12', '12/6=2'] Exploring Operation: 56-2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 56, 49, 42, 74 ]
37
[ "56+42=98", "49*74=3626", "3626/98=37" ]
Current State: 37:[56, 49, 42, 74], Operations: [] Exploring Operation: 56+42=98, Resulting Numbers: [49, 74, 98] Generated Node #2: [49, 74, 98] from Operation: 56+42=98 Current State: 37:[49, 74, 98], Operations: ['56+42=98'] Exploring Operation: 49*74=3626, Resulting Numbers: [98, 3626] Generated Node #3: [98, 3626] from Operation: 49*74=3626 Current State: 37:[98, 3626], Operations: ['56+42=98', '49*74=3626'] Exploring Operation: 3626/98=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 63, 16, 59, 34 ]
22
[ "63-16=47", "59-34=25", "47-25=22" ]
Current State: 22:[63, 16, 59, 34], Operations: [] Exploring Operation: 63-16=47, Resulting Numbers: [59, 34, 47] Generated Node #2: [59, 34, 47] from Operation: 63-16=47 Current State: 22:[59, 34, 47], Operations: ['63-16=47'] Exploring Operation: 59-34=25, Resulting Numbers: [47, 25] Generated Node #3: [47, 25] from Operation: 59-34=25 Current State: 22:[47, 25], Operations: ['63-16=47', '59-34=25'] Exploring Operation: 47-25=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 6, 16, 76, 3 ]
54
[ "6/3=2", "76/2=38", "16+38=54" ]
Current State: 54:[6, 16, 76, 3], Operations: [] Exploring Operation: 6/3=2, Resulting Numbers: [16, 76, 2] Generated Node #2: [16, 76, 2] from Operation: 6/3=2 Current State: 54:[16, 76, 2], Operations: ['6/3=2'] Exploring Operation: 76/2=38, Resulting Numbers: [16, 38] Generated Node #3: [16, 38] from Operation: 76/2=38 Current State: 54:[16, 38], Operations: ['6/3=2', '76/2=38'] Exploring Operation: 16+38=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 24, 19, 19, 14 ]
76
[ "24+19=43", "19+14=33", "43+33=76" ]
Current State: 76:[24, 19, 19, 14], Operations: [] Exploring Operation: 24+19=43, Resulting Numbers: [14, 43] Generated Node #2: [14, 43] from Operation: 24+19=43 Current State: 76:[14, 43], Operations: ['24+19=43'] Exploring Operation: 19+14=33, Resulting Numbers: [43, 33] Generated Node #3: [43, 33] from Operation: 19+14=33 Current State: 76:[43, 33], Operations: ['24+19=43', '19+14=33'] Exploring Operation: 43+33=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 27, 13, 96, 93 ]
22
[ "96-93=3", "27/3=9", "13+9=22" ]
Current State: 22:[27, 13, 96, 93], Operations: [] Exploring Operation: 96-93=3, Resulting Numbers: [27, 13, 3] Generated Node #2: [27, 13, 3] from Operation: 96-93=3 Current State: 22:[27, 13, 3], Operations: ['96-93=3'] Exploring Operation: 27/3=9, Resulting Numbers: [13, 9] Generated Node #3: [13, 9] from Operation: 27/3=9 Current State: 22:[13, 9], Operations: ['96-93=3', '27/3=9'] Exploring Operation: 13+9=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 86, 48, 47, 78 ]
53
[ "86-78=8", "48/8=6", "47+6=53" ]
Current State: 53:[86, 48, 47, 78], Operations: [] Exploring Operation: 86-78=8, Resulting Numbers: [48, 47, 8] Generated Node #2: [48, 47, 8] from Operation: 86-78=8 Current State: 53:[48, 47, 8], Operations: ['86-78=8'] Exploring Operation: 48/8=6, Resulting Numbers: [47, 6] Generated Node #3: [47, 6] from Operation: 48/8=6 Current State: 53:[47, 6], Operations: ['86-78=8', '48/8=6'] Exploring Operation: 47+6=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 12, 72, 6, 43 ]
53
[ "72-12=60", "60/6=10", "43+10=53" ]
Current State: 53:[12, 72, 6, 43], Operations: [] Exploring Operation: 72-12=60, Resulting Numbers: [6, 43, 60] Generated Node #2: [6, 43, 60] from Operation: 72-12=60 Current State: 53:[6, 43, 60], Operations: ['72-12=60'] Exploring Operation: 60/6=10, Resulting Numbers: [43, 10] Generated Node #3: [43, 10] from Operation: 60/6=10 Current State: 53:[43, 10], Operations: ['72-12=60', '60/6=10'] Exploring Operation: 43+10=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 63, 36, 34, 37 ]
52
[ "63-37=26", "36-34=2", "26*2=52" ]
Current State: 52:[63, 36, 34, 37], Operations: [] Exploring Operation: 63-37=26, Resulting Numbers: [36, 34, 26] Generated Node #2: [36, 34, 26] from Operation: 63-37=26 Current State: 52:[36, 34, 26], Operations: ['63-37=26'] Exploring Operation: 36-34=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 36-34=2 Current State: 52:[26, 2], Operations: ['63-37=26', '36-34=2'] Exploring Operation: 26*2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 86, 4, 72, 34 ]
16
[ "86+4=90", "72+34=106", "106-90=16" ]
Current State: 16:[86, 4, 72, 34], Operations: [] Exploring Operation: 86+4=90, Resulting Numbers: [72, 34, 90] Generated Node #2: [72, 34, 90] from Operation: 86+4=90 Current State: 16:[72, 34, 90], Operations: ['86+4=90'] Exploring Operation: 72+34=106, Resulting Numbers: [90, 106] Generated Node #3: [90, 106] from Operation: 72+34=106 Current State: 16:[90, 106], Operations: ['86+4=90', '72+34=106'] Exploring Operation: 106-90=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 78, 42, 41, 36 ]
42
[ "78-42=36", "36/36=1", "41+1=42" ]
Current State: 42:[78, 42, 41, 36], Operations: [] Exploring Operation: 78-42=36, Resulting Numbers: [41, 36, 36] Generated Node #2: [41, 36, 36] from Operation: 78-42=36 Current State: 42:[41, 36, 36], Operations: ['78-42=36'] Exploring Operation: 36/36=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 36/36=1 Current State: 42:[41, 1], Operations: ['78-42=36', '36/36=1'] Exploring Operation: 41+1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 47, 5, 20, 97 ]
38
[ "47-20=27", "5*27=135", "135-97=38" ]
Current State: 38:[47, 5, 20, 97], Operations: [] Exploring Operation: 47-20=27, Resulting Numbers: [5, 97, 27] Generated Node #2: [5, 97, 27] from Operation: 47-20=27 Current State: 38:[5, 97, 27], Operations: ['47-20=27'] Exploring Operation: 5*27=135, Resulting Numbers: [97, 135] Generated Node #3: [97, 135] from Operation: 5*27=135 Current State: 38:[97, 135], Operations: ['47-20=27', '5*27=135'] Exploring Operation: 135-97=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 32, 6, 12, 65 ]
51
[ "32-6=26", "12+65=77", "77-26=51" ]
Current State: 51:[32, 6, 12, 65], Operations: [] Exploring Operation: 32-6=26, Resulting Numbers: [12, 65, 26] Generated Node #2: [12, 65, 26] from Operation: 32-6=26 Current State: 51:[12, 65, 26], Operations: ['32-6=26'] Exploring Operation: 12+65=77, Resulting Numbers: [26, 77] Generated Node #3: [26, 77] from Operation: 12+65=77 Current State: 51:[26, 77], Operations: ['32-6=26', '12+65=77'] Exploring Operation: 77-26=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 6, 89, 55, 43 ]
95
[ "89-6=83", "55-43=12", "83+12=95" ]
Current State: 95:[6, 89, 55, 43], Operations: [] Exploring Operation: 89-6=83, Resulting Numbers: [55, 43, 83] Generated Node #2: [55, 43, 83] from Operation: 89-6=83 Current State: 95:[55, 43, 83], Operations: ['89-6=83'] Exploring Operation: 55-43=12, Resulting Numbers: [83, 12] Generated Node #3: [83, 12] from Operation: 55-43=12 Current State: 95:[83, 12], Operations: ['89-6=83', '55-43=12'] Exploring Operation: 83+12=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 4, 60, 34, 10 ]
57
[ "34-4=30", "30/10=3", "60-3=57" ]
Current State: 57:[4, 60, 34, 10], Operations: [] Exploring Operation: 34-4=30, Resulting Numbers: [60, 10, 30] Generated Node #2: [60, 10, 30] from Operation: 34-4=30 Current State: 57:[60, 10, 30], Operations: ['34-4=30'] Exploring Operation: 30/10=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 30/10=3 Current State: 57:[60, 3], Operations: ['34-4=30', '30/10=3'] Exploring Operation: 60-3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 16, 63, 52, 80 ]
16
[ "63-16=47", "52-47=5", "80/5=16" ]
Current State: 16:[16, 63, 52, 80], Operations: [] Exploring Operation: 63-16=47, Resulting Numbers: [52, 80, 47] Generated Node #2: [52, 80, 47] from Operation: 63-16=47 Current State: 16:[52, 80, 47], Operations: ['63-16=47'] Exploring Operation: 52-47=5, Resulting Numbers: [80, 5] Generated Node #3: [80, 5] from Operation: 52-47=5 Current State: 16:[80, 5], Operations: ['63-16=47', '52-47=5'] Exploring Operation: 80/5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 74, 25, 20, 50 ]
84
[ "25*20=500", "500/50=10", "74+10=84" ]
Current State: 84:[74, 25, 20, 50], Operations: [] Exploring Operation: 25*20=500, Resulting Numbers: [74, 50, 500] Generated Node #2: [74, 50, 500] from Operation: 25*20=500 Current State: 84:[74, 50, 500], Operations: ['25*20=500'] Exploring Operation: 500/50=10, Resulting Numbers: [74, 10] Generated Node #3: [74, 10] from Operation: 500/50=10 Current State: 84:[74, 10], Operations: ['25*20=500', '500/50=10'] Exploring Operation: 74+10=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 22, 52, 89, 71 ]
13
[ "89-22=67", "71-67=4", "52/4=13" ]
Current State: 13:[22, 52, 89, 71], Operations: [] Exploring Operation: 89-22=67, Resulting Numbers: [52, 71, 67] Generated Node #2: [52, 71, 67] from Operation: 89-22=67 Current State: 13:[52, 71, 67], Operations: ['89-22=67'] Exploring Operation: 71-67=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 71-67=4 Current State: 13:[52, 4], Operations: ['89-22=67', '71-67=4'] Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 2, 69, 41, 13 ]
27
[ "69-41=28", "28/2=14", "13+14=27" ]
Current State: 27:[2, 69, 41, 13], Operations: [] Exploring Operation: 69-41=28, Resulting Numbers: [2, 13, 28] Generated Node #2: [2, 13, 28] from Operation: 69-41=28 Current State: 27:[2, 13, 28], Operations: ['69-41=28'] Exploring Operation: 28/2=14, Resulting Numbers: [13, 14] Generated Node #3: [13, 14] from Operation: 28/2=14 Current State: 27:[13, 14], Operations: ['69-41=28', '28/2=14'] Exploring Operation: 13+14=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 56, 44, 4, 79 ]
12
[ "79-56=23", "44/4=11", "23-11=12" ]
Current State: 12:[56, 44, 4, 79], Operations: [] Exploring Operation: 79-56=23, Resulting Numbers: [44, 4, 23] Generated Node #2: [44, 4, 23] from Operation: 79-56=23 Current State: 12:[44, 4, 23], Operations: ['79-56=23'] Exploring Operation: 44/4=11, Resulting Numbers: [23, 11] Generated Node #3: [23, 11] from Operation: 44/4=11 Current State: 12:[23, 11], Operations: ['79-56=23', '44/4=11'] Exploring Operation: 23-11=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 55, 26, 77, 22 ]
27
[ "77-55=22", "22/22=1", "26+1=27" ]
Current State: 27:[55, 26, 77, 22], Operations: [] Exploring Operation: 77-55=22, Resulting Numbers: [26, 22, 22] Generated Node #2: [26, 22, 22] from Operation: 77-55=22 Current State: 27:[26, 22, 22], Operations: ['77-55=22'] Exploring Operation: 22/22=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 22/22=1 Current State: 27:[26, 1], Operations: ['77-55=22', '22/22=1'] Exploring Operation: 26+1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 63, 18, 60, 3 ]
87
[ "63+18=81", "81/3=27", "60+27=87" ]
Current State: 87:[63, 18, 60, 3], Operations: [] Exploring Operation: 63+18=81, Resulting Numbers: [60, 3, 81] Generated Node #2: [60, 3, 81] from Operation: 63+18=81 Current State: 87:[60, 3, 81], Operations: ['63+18=81'] Exploring Operation: 81/3=27, Resulting Numbers: [60, 27] Generated Node #3: [60, 27] from Operation: 81/3=27 Current State: 87:[60, 27], Operations: ['63+18=81', '81/3=27'] Exploring Operation: 60+27=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 26, 82, 66, 78 ]
88
[ "82-26=56", "66+78=144", "144-56=88" ]
Current State: 88:[26, 82, 66, 78], Operations: [] Exploring Operation: 82-26=56, Resulting Numbers: [66, 78, 56] Generated Node #2: [66, 78, 56] from Operation: 82-26=56 Current State: 88:[66, 78, 56], Operations: ['82-26=56'] Exploring Operation: 66+78=144, Resulting Numbers: [56, 144] Generated Node #3: [56, 144] from Operation: 66+78=144 Current State: 88:[56, 144], Operations: ['82-26=56', '66+78=144'] Exploring Operation: 144-56=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 78, 47, 25, 49 ]
51
[ "78+47=125", "25+49=74", "125-74=51" ]
Current State: 51:[78, 47, 25, 49], Operations: [] Exploring Operation: 78+47=125, Resulting Numbers: [25, 49, 125] Generated Node #2: [25, 49, 125] from Operation: 78+47=125 Current State: 51:[25, 49, 125], Operations: ['78+47=125'] Exploring Operation: 25+49=74, Resulting Numbers: [125, 74] Generated Node #3: [125, 74] from Operation: 25+49=74 Current State: 51:[125, 74], Operations: ['78+47=125', '25+49=74'] Exploring Operation: 125-74=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 64, 31, 1, 6 ]
40
[ "64-31=33", "1+6=7", "33+7=40" ]
Current State: 40:[64, 31, 1, 6], Operations: [] Exploring Operation: 64-31=33, Resulting Numbers: [1, 6, 33] Generated Node #2: [1, 6, 33] from Operation: 64-31=33 Current State: 40:[1, 6, 33], Operations: ['64-31=33'] Exploring Operation: 1+6=7, Resulting Numbers: [33, 7] Generated Node #3: [33, 7] from Operation: 1+6=7 Current State: 40:[33, 7], Operations: ['64-31=33', '1+6=7'] Exploring Operation: 33+7=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 82, 75, 14, 27 ]
77
[ "14+27=41", "82/41=2", "75+2=77" ]
Current State: 77:[82, 75, 14, 27], Operations: [] Exploring Operation: 14+27=41, Resulting Numbers: [82, 75, 41] Generated Node #2: [82, 75, 41] from Operation: 14+27=41 Current State: 77:[82, 75, 41], Operations: ['14+27=41'] Exploring Operation: 82/41=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 82/41=2 Current State: 77:[75, 2], Operations: ['14+27=41', '82/41=2'] Exploring Operation: 75+2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 30, 46, 9, 23 ]
23
[ "30-9=21", "46/23=2", "21+2=23" ]
Current State: 23:[30, 46, 9, 23], Operations: [] Exploring Operation: 30-9=21, Resulting Numbers: [46, 23, 21] Generated Node #2: [46, 23, 21] from Operation: 30-9=21 Current State: 23:[46, 23, 21], Operations: ['30-9=21'] Exploring Operation: 46/23=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 46/23=2 Current State: 23:[21, 2], Operations: ['30-9=21', '46/23=2'] Exploring Operation: 21+2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 79, 94, 1, 63 ]
79
[ "94-79=15", "1+63=64", "15+64=79" ]
Current State: 79:[79, 94, 1, 63], Operations: [] Exploring Operation: 94-79=15, Resulting Numbers: [1, 63, 15] Generated Node #2: [1, 63, 15] from Operation: 94-79=15 Current State: 79:[1, 63, 15], Operations: ['94-79=15'] Exploring Operation: 1+63=64, Resulting Numbers: [15, 64] Generated Node #3: [15, 64] from Operation: 1+63=64 Current State: 79:[15, 64], Operations: ['94-79=15', '1+63=64'] Exploring Operation: 15+64=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 28, 56, 48, 1 ]
49
[ "56/28=2", "48-1=47", "2+47=49" ]
Current State: 49:[28, 56, 48, 1], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [48, 1, 2] Generated Node #2: [48, 1, 2] from Operation: 56/28=2 Current State: 49:[48, 1, 2], Operations: ['56/28=2'] Exploring Operation: 48-1=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 48-1=47 Current State: 49:[2, 47], Operations: ['56/28=2', '48-1=47'] Exploring Operation: 2+47=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4