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
[ 31, 55, 26, 29 ]
32
[ "55-26=29", "29/29=1", "31+1=32" ]
Current State: 32:[31, 55, 26, 29], Operations: [] Exploring Operation: 55-26=29, Resulting Numbers: [31, 29, 29] Generated Node #2: [31, 29, 29] from Operation: 55-26=29 Current State: 32:[31, 29, 29], Operations: ['55-26=29'] Exploring Operation: 29/29=1, Resulting Numbers: [31, 1] Generated Node #3: [31, 1] from Operation: 29/29=1 Current State: 32:[31, 1], Operations: ['55-26=29', '29/29=1'] Exploring Operation: 31+1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 93, 4, 29, 32 ]
35
[ "32-29=3", "93/3=31", "4+31=35" ]
Current State: 35:[93, 4, 29, 32], Operations: [] Exploring Operation: 32-29=3, Resulting Numbers: [93, 4, 3] Generated Node #2: [93, 4, 3] from Operation: 32-29=3 Current State: 35:[93, 4, 3], Operations: ['32-29=3'] Exploring Operation: 93/3=31, Resulting Numbers: [4, 31] Generated Node #3: [4, 31] from Operation: 93/3=31 Current State: 35:[4, 31], Operations: ['32-29=3', '93/3=31'] Exploring Operation: 4+31=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 67, 46, 5, 5 ]
31
[ "67-46=21", "5+5=10", "21+10=31" ]
Current State: 31:[67, 46, 5, 5], Operations: [] Exploring Operation: 67-46=21, Resulting Numbers: [5, 5, 21] Generated Node #2: [5, 5, 21] from Operation: 67-46=21 Current State: 31:[5, 5, 21], Operations: ['67-46=21'] Exploring Operation: 5+5=10, Resulting Numbers: [21, 10] Generated Node #3: [21, 10] from Operation: 5+5=10 Current State: 31:[21, 10], Operations: ['67-46=21', '5+5=10'] Exploring Operation: 21+10=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 33, 17, 91, 52 ]
93
[ "33+17=50", "91+52=143", "143-50=93" ]
Current State: 93:[33, 17, 91, 52], Operations: [] Exploring Operation: 33+17=50, Resulting Numbers: [91, 52, 50] Generated Node #2: [91, 52, 50] from Operation: 33+17=50 Current State: 93:[91, 52, 50], Operations: ['33+17=50'] Exploring Operation: 91+52=143, Resulting Numbers: [50, 143] Generated Node #3: [50, 143] from Operation: 91+52=143 Current State: 93:[50, 143], Operations: ['33+17=50', '91+52=143'] Exploring Operation: 143-50=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 5, 47, 89, 4 ]
62
[ "5*4=20", "89-47=42", "20+42=62" ]
Current State: 62:[5, 47, 89, 4], Operations: [] Exploring Operation: 5*4=20, Resulting Numbers: [47, 89, 20] Generated Node #2: [47, 89, 20] from Operation: 5*4=20 Current State: 62:[47, 89, 20], Operations: ['5*4=20'] Exploring Operation: 89-47=42, Resulting Numbers: [20, 42] Generated Node #3: [20, 42] from Operation: 89-47=42 Current State: 62:[20, 42], Operations: ['5*4=20', '89-47=42'] Exploring Operation: 20+42=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 29, 4, 75, 39 ]
13
[ "29-4=25", "75/25=3", "39/3=13" ]
Current State: 13:[29, 4, 75, 39], Operations: [] Exploring Operation: 29-4=25, Resulting Numbers: [75, 39, 25] Generated Node #2: [75, 39, 25] from Operation: 29-4=25 Current State: 13:[75, 39, 25], Operations: ['29-4=25'] Exploring Operation: 75/25=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 75/25=3 Current State: 13:[39, 3], Operations: ['29-4=25', '75/25=3'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 20, 44, 19, 88 ]
83
[ "44-20=24", "19+88=107", "107-24=83" ]
Current State: 83:[20, 44, 19, 88], Operations: [] Exploring Operation: 44-20=24, Resulting Numbers: [19, 88, 24] Generated Node #2: [19, 88, 24] from Operation: 44-20=24 Current State: 83:[19, 88, 24], Operations: ['44-20=24'] Exploring Operation: 19+88=107, Resulting Numbers: [24, 107] Generated Node #3: [24, 107] from Operation: 19+88=107 Current State: 83:[24, 107], Operations: ['44-20=24', '19+88=107'] Exploring Operation: 107-24=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 1, 51, 58, 2 ]
21
[ "51-1=50", "58/2=29", "50-29=21" ]
Current State: 21:[1, 51, 58, 2], Operations: [] Exploring Operation: 51-1=50, Resulting Numbers: [58, 2, 50] Generated Node #2: [58, 2, 50] from Operation: 51-1=50 Current State: 21:[58, 2, 50], Operations: ['51-1=50'] Exploring Operation: 58/2=29, Resulting Numbers: [50, 29] Generated Node #3: [50, 29] from Operation: 58/2=29 Current State: 21:[50, 29], Operations: ['51-1=50', '58/2=29'] Exploring Operation: 50-29=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 46, 84, 70, 91 ]
56
[ "91-84=7", "70/7=10", "46+10=56" ]
Current State: 56:[46, 84, 70, 91], Operations: [] Exploring Operation: 91-84=7, Resulting Numbers: [46, 70, 7] Generated Node #2: [46, 70, 7] from Operation: 91-84=7 Current State: 56:[46, 70, 7], Operations: ['91-84=7'] Exploring Operation: 70/7=10, Resulting Numbers: [46, 10] Generated Node #3: [46, 10] from Operation: 70/7=10 Current State: 56:[46, 10], Operations: ['91-84=7', '70/7=10'] Exploring Operation: 46+10=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 79, 74, 74, 30 ]
76
[ "79-74=5", "30*5=150", "150-74=76" ]
Current State: 76:[79, 74, 74, 30], Operations: [] Exploring Operation: 79-74=5, Resulting Numbers: [30, 5] Generated Node #2: [30, 5] from Operation: 79-74=5 Current State: 76:[30, 5], Operations: ['79-74=5'] Exploring Operation: 30*5=150, Resulting Numbers: [150] 150,76 equal: Goal Reached Exploring Operation: 150-74=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 20, 97, 29, 11 ]
37
[ "97-20=77", "29+11=40", "77-40=37" ]
Current State: 37:[20, 97, 29, 11], Operations: [] Exploring Operation: 97-20=77, Resulting Numbers: [29, 11, 77] Generated Node #2: [29, 11, 77] from Operation: 97-20=77 Current State: 37:[29, 11, 77], Operations: ['97-20=77'] Exploring Operation: 29+11=40, Resulting Numbers: [77, 40] Generated Node #3: [77, 40] from Operation: 29+11=40 Current State: 37:[77, 40], Operations: ['97-20=77', '29+11=40'] Exploring Operation: 77-40=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 40, 20, 77, 83 ]
26
[ "40-20=20", "83-77=6", "20+6=26" ]
Current State: 26:[40, 20, 77, 83], Operations: [] Exploring Operation: 40-20=20, Resulting Numbers: [77, 83, 20] Generated Node #2: [77, 83, 20] from Operation: 40-20=20 Current State: 26:[77, 83, 20], Operations: ['40-20=20'] Exploring Operation: 83-77=6, Resulting Numbers: [20, 6] Generated Node #3: [20, 6] from Operation: 83-77=6 Current State: 26:[20, 6], Operations: ['40-20=20', '83-77=6'] Exploring Operation: 20+6=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 27, 32, 86, 96 ]
62
[ "86-27=59", "96/32=3", "59+3=62" ]
Current State: 62:[27, 32, 86, 96], Operations: [] Exploring Operation: 86-27=59, Resulting Numbers: [32, 96, 59] Generated Node #2: [32, 96, 59] from Operation: 86-27=59 Current State: 62:[32, 96, 59], Operations: ['86-27=59'] Exploring Operation: 96/32=3, Resulting Numbers: [59, 3] Generated Node #3: [59, 3] from Operation: 96/32=3 Current State: 62:[59, 3], Operations: ['86-27=59', '96/32=3'] Exploring Operation: 59+3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 96, 10, 58, 53 ]
98
[ "58-53=5", "10/5=2", "96+2=98" ]
Current State: 98:[96, 10, 58, 53], Operations: [] Exploring Operation: 58-53=5, Resulting Numbers: [96, 10, 5] Generated Node #2: [96, 10, 5] from Operation: 58-53=5 Current State: 98:[96, 10, 5], Operations: ['58-53=5'] Exploring Operation: 10/5=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 10/5=2 Current State: 98:[96, 2], Operations: ['58-53=5', '10/5=2'] Exploring Operation: 96+2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 32, 16, 87, 17 ]
80
[ "16*87=1392", "1392-32=1360", "1360/17=80" ]
Current State: 80:[32, 16, 87, 17], Operations: [] Exploring Operation: 16*87=1392, Resulting Numbers: [32, 17, 1392] Generated Node #2: [32, 17, 1392] from Operation: 16*87=1392 Current State: 80:[32, 17, 1392], Operations: ['16*87=1392'] Exploring Operation: 1392-32=1360, Resulting Numbers: [17, 1360] Generated Node #3: [17, 1360] from Operation: 1392-32=1360 Current State: 80:[17, 1360], Operations: ['16*87=1392', '1392-32=1360'] Exploring Operation: 1360/17=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 32, 16, 77, 5 ]
67
[ "32/16=2", "5*2=10", "77-10=67" ]
Current State: 67:[32, 16, 77, 5], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [77, 5, 2] Generated Node #2: [77, 5, 2] from Operation: 32/16=2 Current State: 67:[77, 5, 2], Operations: ['32/16=2'] Exploring Operation: 5*2=10, Resulting Numbers: [77, 10] Generated Node #3: [77, 10] from Operation: 5*2=10 Current State: 67:[77, 10], Operations: ['32/16=2', '5*2=10'] Exploring Operation: 77-10=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 40, 32, 38, 95 ]
48
[ "40*38=1520", "1520/95=16", "32+16=48" ]
Current State: 48:[40, 32, 38, 95], Operations: [] Exploring Operation: 40*38=1520, Resulting Numbers: [32, 95, 1520] Generated Node #2: [32, 95, 1520] from Operation: 40*38=1520 Current State: 48:[32, 95, 1520], Operations: ['40*38=1520'] Exploring Operation: 1520/95=16, Resulting Numbers: [32, 16] Generated Node #3: [32, 16] from Operation: 1520/95=16 Current State: 48:[32, 16], Operations: ['40*38=1520', '1520/95=16'] Exploring Operation: 32+16=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 4, 74, 70, 32 ]
16
[ "4*32=128", "74+70=144", "144-128=16" ]
Current State: 16:[4, 74, 70, 32], Operations: [] Exploring Operation: 4*32=128, Resulting Numbers: [74, 70, 128] Generated Node #2: [74, 70, 128] from Operation: 4*32=128 Current State: 16:[74, 70, 128], Operations: ['4*32=128'] Exploring Operation: 74+70=144, Resulting Numbers: [128, 144] Generated Node #3: [128, 144] from Operation: 74+70=144 Current State: 16:[128, 144], Operations: ['4*32=128', '74+70=144'] Exploring Operation: 144-128=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 50, 86, 42, 75 ]
66
[ "86-42=44", "75*44=3300", "3300/50=66" ]
Current State: 66:[50, 86, 42, 75], Operations: [] Exploring Operation: 86-42=44, Resulting Numbers: [50, 75, 44] Generated Node #2: [50, 75, 44] from Operation: 86-42=44 Current State: 66:[50, 75, 44], Operations: ['86-42=44'] Exploring Operation: 75*44=3300, Resulting Numbers: [50, 3300] Generated Node #3: [50, 3300] from Operation: 75*44=3300 Current State: 66:[50, 3300], Operations: ['86-42=44', '75*44=3300'] Exploring Operation: 3300/50=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 94, 92, 50, 72 ]
86
[ "94-92=2", "72/2=36", "50+36=86" ]
Current State: 86:[94, 92, 50, 72], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [50, 72, 2] Generated Node #2: [50, 72, 2] from Operation: 94-92=2 Current State: 86:[50, 72, 2], Operations: ['94-92=2'] Exploring Operation: 72/2=36, Resulting Numbers: [50, 36] Generated Node #3: [50, 36] from Operation: 72/2=36 Current State: 86:[50, 36], Operations: ['94-92=2', '72/2=36'] Exploring Operation: 50+36=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 88, 22, 76, 16 ]
80
[ "88/22=4", "16/4=4", "76+4=80" ]
Current State: 80:[88, 22, 76, 16], Operations: [] Exploring Operation: 88/22=4, Resulting Numbers: [76, 16, 4] Generated Node #2: [76, 16, 4] from Operation: 88/22=4 Current State: 80:[76, 16, 4], Operations: ['88/22=4'] Exploring Operation: 16/4=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 16/4=4 Current State: 80:[76, 4], Operations: ['88/22=4', '16/4=4'] Exploring Operation: 76+4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 19, 43, 95, 81 ]
93
[ "81-43=38", "38/19=2", "95-2=93" ]
Current State: 93:[19, 43, 95, 81], Operations: [] Exploring Operation: 81-43=38, Resulting Numbers: [19, 95, 38] Generated Node #2: [19, 95, 38] from Operation: 81-43=38 Current State: 93:[19, 95, 38], Operations: ['81-43=38'] Exploring Operation: 38/19=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 38/19=2 Current State: 93:[95, 2], Operations: ['81-43=38', '38/19=2'] Exploring Operation: 95-2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 64, 67, 14, 55 ]
32
[ "67-14=53", "55-53=2", "64/2=32" ]
Current State: 32:[64, 67, 14, 55], Operations: [] Exploring Operation: 67-14=53, Resulting Numbers: [64, 55, 53] Generated Node #2: [64, 55, 53] from Operation: 67-14=53 Current State: 32:[64, 55, 53], Operations: ['67-14=53'] Exploring Operation: 55-53=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 55-53=2 Current State: 32:[64, 2], Operations: ['67-14=53', '55-53=2'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 65, 56, 55, 21 ]
43
[ "65-56=9", "55-21=34", "9+34=43" ]
Current State: 43:[65, 56, 55, 21], Operations: [] Exploring Operation: 65-56=9, Resulting Numbers: [55, 21, 9] Generated Node #2: [55, 21, 9] from Operation: 65-56=9 Current State: 43:[55, 21, 9], Operations: ['65-56=9'] Exploring Operation: 55-21=34, Resulting Numbers: [9, 34] Generated Node #3: [9, 34] from Operation: 55-21=34 Current State: 43:[9, 34], Operations: ['65-56=9', '55-21=34'] Exploring Operation: 9+34=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 28, 85, 10, 10 ]
57
[ "85-28=57", "10-10=0", "57+0=57" ]
Current State: 57:[28, 85, 10, 10], Operations: [] Exploring Operation: 85-28=57, Resulting Numbers: [10, 10, 57] Generated Node #2: [10, 10, 57] from Operation: 85-28=57 Current State: 57:[10, 10, 57], Operations: ['85-28=57'] Exploring Operation: 10-10=0, Resulting Numbers: [57, 0] Generated Node #3: [57, 0] from Operation: 10-10=0 Current State: 57:[57, 0], Operations: ['85-28=57', '10-10=0'] Exploring Operation: 57+0=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 64, 87, 65, 14 ]
72
[ "64+87=151", "65+14=79", "151-79=72" ]
Current State: 72:[64, 87, 65, 14], Operations: [] Exploring Operation: 64+87=151, Resulting Numbers: [65, 14, 151] Generated Node #2: [65, 14, 151] from Operation: 64+87=151 Current State: 72:[65, 14, 151], Operations: ['64+87=151'] Exploring Operation: 65+14=79, Resulting Numbers: [151, 79] Generated Node #3: [151, 79] from Operation: 65+14=79 Current State: 72:[151, 79], Operations: ['64+87=151', '65+14=79'] Exploring Operation: 151-79=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 25, 41, 35, 76 ]
95
[ "41-25=16", "35+76=111", "111-16=95" ]
Current State: 95:[25, 41, 35, 76], Operations: [] Exploring Operation: 41-25=16, Resulting Numbers: [35, 76, 16] Generated Node #2: [35, 76, 16] from Operation: 41-25=16 Current State: 95:[35, 76, 16], Operations: ['41-25=16'] Exploring Operation: 35+76=111, Resulting Numbers: [16, 111] Generated Node #3: [16, 111] from Operation: 35+76=111 Current State: 95:[16, 111], Operations: ['41-25=16', '35+76=111'] Exploring Operation: 111-16=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 72, 74, 2, 6 ]
16
[ "74-72=2", "2+6=8", "2*8=16" ]
Current State: 16:[72, 74, 2, 6], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [2, 6, 2] Generated Node #2: [2, 6, 2] from Operation: 74-72=2 Current State: 16:[2, 6, 2], Operations: ['74-72=2'] Exploring Operation: 2+6=8, Resulting Numbers: [8] 8,16 equal: Goal Reached Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 73, 88, 26, 80 ]
94
[ "80-73=7", "26*7=182", "182-88=94" ]
Current State: 94:[73, 88, 26, 80], Operations: [] Exploring Operation: 80-73=7, Resulting Numbers: [88, 26, 7] Generated Node #2: [88, 26, 7] from Operation: 80-73=7 Current State: 94:[88, 26, 7], Operations: ['80-73=7'] Exploring Operation: 26*7=182, Resulting Numbers: [88, 182] Generated Node #3: [88, 182] from Operation: 26*7=182 Current State: 94:[88, 182], Operations: ['80-73=7', '26*7=182'] Exploring Operation: 182-88=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 30, 45, 69, 39 ]
74
[ "39-30=9", "45/9=5", "69+5=74" ]
Current State: 74:[30, 45, 69, 39], Operations: [] Exploring Operation: 39-30=9, Resulting Numbers: [45, 69, 9] Generated Node #2: [45, 69, 9] from Operation: 39-30=9 Current State: 74:[45, 69, 9], Operations: ['39-30=9'] Exploring Operation: 45/9=5, Resulting Numbers: [69, 5] Generated Node #3: [69, 5] from Operation: 45/9=5 Current State: 74:[69, 5], Operations: ['39-30=9', '45/9=5'] Exploring Operation: 69+5=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 60, 95, 39, 93 ]
65
[ "60+95=155", "39*155=6045", "6045/93=65" ]
Current State: 65:[60, 95, 39, 93], Operations: [] Exploring Operation: 60+95=155, Resulting Numbers: [39, 93, 155] Generated Node #2: [39, 93, 155] from Operation: 60+95=155 Current State: 65:[39, 93, 155], Operations: ['60+95=155'] Exploring Operation: 39*155=6045, Resulting Numbers: [93, 6045] Generated Node #3: [93, 6045] from Operation: 39*155=6045 Current State: 65:[93, 6045], Operations: ['60+95=155', '39*155=6045'] Exploring Operation: 6045/93=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 15, 48, 30, 96 ]
99
[ "48-15=33", "96-30=66", "33+66=99" ]
Current State: 99:[15, 48, 30, 96], Operations: [] Exploring Operation: 48-15=33, Resulting Numbers: [30, 96, 33] Generated Node #2: [30, 96, 33] from Operation: 48-15=33 Current State: 99:[30, 96, 33], Operations: ['48-15=33'] Exploring Operation: 96-30=66, Resulting Numbers: [33, 66] Generated Node #3: [33, 66] from Operation: 96-30=66 Current State: 99:[33, 66], Operations: ['48-15=33', '96-30=66'] Exploring Operation: 33+66=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 69, 14, 3, 96 ]
16
[ "69+14=83", "3+96=99", "99-83=16" ]
Current State: 16:[69, 14, 3, 96], Operations: [] Exploring Operation: 69+14=83, Resulting Numbers: [3, 96, 83] Generated Node #2: [3, 96, 83] from Operation: 69+14=83 Current State: 16:[3, 96, 83], Operations: ['69+14=83'] Exploring Operation: 3+96=99, Resulting Numbers: [83, 99] Generated Node #3: [83, 99] from Operation: 3+96=99 Current State: 16:[83, 99], Operations: ['69+14=83', '3+96=99'] Exploring Operation: 99-83=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 98, 45, 17, 93 ]
57
[ "98-45=53", "17+93=110", "110-53=57" ]
Current State: 57:[98, 45, 17, 93], Operations: [] Exploring Operation: 98-45=53, Resulting Numbers: [17, 93, 53] Generated Node #2: [17, 93, 53] from Operation: 98-45=53 Current State: 57:[17, 93, 53], Operations: ['98-45=53'] Exploring Operation: 17+93=110, Resulting Numbers: [53, 110] Generated Node #3: [53, 110] from Operation: 17+93=110 Current State: 57:[53, 110], Operations: ['98-45=53', '17+93=110'] Exploring Operation: 110-53=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 2, 17, 60, 70 ]
46
[ "70-17=53", "2*53=106", "106-60=46" ]
Current State: 46:[2, 17, 60, 70], Operations: [] Exploring Operation: 70-17=53, Resulting Numbers: [2, 60, 53] Generated Node #2: [2, 60, 53] from Operation: 70-17=53 Current State: 46:[2, 60, 53], Operations: ['70-17=53'] Exploring Operation: 2*53=106, Resulting Numbers: [60, 106] Generated Node #3: [60, 106] from Operation: 2*53=106 Current State: 46:[60, 106], Operations: ['70-17=53', '2*53=106'] Exploring Operation: 106-60=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 25, 95, 38, 47 ]
61
[ "95-25=70", "47-38=9", "70-9=61" ]
Current State: 61:[25, 95, 38, 47], Operations: [] Exploring Operation: 95-25=70, Resulting Numbers: [38, 47, 70] Generated Node #2: [38, 47, 70] from Operation: 95-25=70 Current State: 61:[38, 47, 70], Operations: ['95-25=70'] Exploring Operation: 47-38=9, Resulting Numbers: [70, 9] Generated Node #3: [70, 9] from Operation: 47-38=9 Current State: 61:[70, 9], Operations: ['95-25=70', '47-38=9'] Exploring Operation: 70-9=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 21, 5, 42, 72 ]
41
[ "42/21=2", "72/2=36", "5+36=41" ]
Current State: 41:[21, 5, 42, 72], Operations: [] Exploring Operation: 42/21=2, Resulting Numbers: [5, 72, 2] Generated Node #2: [5, 72, 2] from Operation: 42/21=2 Current State: 41:[5, 72, 2], Operations: ['42/21=2'] Exploring Operation: 72/2=36, Resulting Numbers: [5, 36] Generated Node #3: [5, 36] from Operation: 72/2=36 Current State: 41:[5, 36], Operations: ['42/21=2', '72/2=36'] Exploring Operation: 5+36=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 58, 63, 27, 60 ]
34
[ "58+63=121", "27+60=87", "121-87=34" ]
Current State: 34:[58, 63, 27, 60], Operations: [] Exploring Operation: 58+63=121, Resulting Numbers: [27, 60, 121] Generated Node #2: [27, 60, 121] from Operation: 58+63=121 Current State: 34:[27, 60, 121], Operations: ['58+63=121'] Exploring Operation: 27+60=87, Resulting Numbers: [121, 87] Generated Node #3: [121, 87] from Operation: 27+60=87 Current State: 34:[121, 87], Operations: ['58+63=121', '27+60=87'] Exploring Operation: 121-87=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 9, 61, 70, 65 ]
14
[ "9+61=70", "70-65=5", "70/5=14" ]
Current State: 14:[9, 61, 70, 65], Operations: [] Exploring Operation: 9+61=70, Resulting Numbers: [70, 65, 70] Generated Node #2: [70, 65, 70] from Operation: 9+61=70 Current State: 14:[70, 65, 70], Operations: ['9+61=70'] Exploring Operation: 70-65=5, Resulting Numbers: [5] 5,14 equal: Goal Reached Exploring Operation: 70/5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 53, 54, 72, 13 ]
58
[ "54-53=1", "72-13=59", "59-1=58" ]
Current State: 58:[53, 54, 72, 13], Operations: [] Exploring Operation: 54-53=1, Resulting Numbers: [72, 13, 1] Generated Node #2: [72, 13, 1] from Operation: 54-53=1 Current State: 58:[72, 13, 1], Operations: ['54-53=1'] Exploring Operation: 72-13=59, Resulting Numbers: [1, 59] Generated Node #3: [1, 59] from Operation: 72-13=59 Current State: 58:[1, 59], Operations: ['54-53=1', '72-13=59'] Exploring Operation: 59-1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 2, 14, 19, 11 ]
77
[ "14-2=12", "19-12=7", "11*7=77" ]
Current State: 77:[2, 14, 19, 11], Operations: [] Exploring Operation: 14-2=12, Resulting Numbers: [19, 11, 12] Generated Node #2: [19, 11, 12] from Operation: 14-2=12 Current State: 77:[19, 11, 12], Operations: ['14-2=12'] Exploring Operation: 19-12=7, Resulting Numbers: [11, 7] Generated Node #3: [11, 7] from Operation: 19-12=7 Current State: 77:[11, 7], Operations: ['14-2=12', '19-12=7'] Exploring Operation: 11*7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 3, 62, 27, 23 ]
14
[ "62-23=39", "39/3=13", "27-13=14" ]
Current State: 14:[3, 62, 27, 23], Operations: [] Exploring Operation: 62-23=39, Resulting Numbers: [3, 27, 39] Generated Node #2: [3, 27, 39] from Operation: 62-23=39 Current State: 14:[3, 27, 39], Operations: ['62-23=39'] Exploring Operation: 39/3=13, Resulting Numbers: [27, 13] Generated Node #3: [27, 13] from Operation: 39/3=13 Current State: 14:[27, 13], Operations: ['62-23=39', '39/3=13'] Exploring Operation: 27-13=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 45, 87, 11, 40 ]
93
[ "87-45=42", "11+40=51", "42+51=93" ]
Current State: 93:[45, 87, 11, 40], Operations: [] Exploring Operation: 87-45=42, Resulting Numbers: [11, 40, 42] Generated Node #2: [11, 40, 42] from Operation: 87-45=42 Current State: 93:[11, 40, 42], Operations: ['87-45=42'] Exploring Operation: 11+40=51, Resulting Numbers: [42, 51] Generated Node #3: [42, 51] from Operation: 11+40=51 Current State: 93:[42, 51], Operations: ['87-45=42', '11+40=51'] Exploring Operation: 42+51=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 11, 67, 34, 76 ]
21
[ "67+76=143", "143/11=13", "34-13=21" ]
Current State: 21:[11, 67, 34, 76], Operations: [] Exploring Operation: 67+76=143, Resulting Numbers: [11, 34, 143] Generated Node #2: [11, 34, 143] from Operation: 67+76=143 Current State: 21:[11, 34, 143], Operations: ['67+76=143'] Exploring Operation: 143/11=13, Resulting Numbers: [34, 13] Generated Node #3: [34, 13] from Operation: 143/11=13 Current State: 21:[34, 13], Operations: ['67+76=143', '143/11=13'] Exploring Operation: 34-13=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 34, 93, 63, 78 ]
32
[ "93+63=156", "156/78=2", "34-2=32" ]
Current State: 32:[34, 93, 63, 78], Operations: [] Exploring Operation: 93+63=156, Resulting Numbers: [34, 78, 156] Generated Node #2: [34, 78, 156] from Operation: 93+63=156 Current State: 32:[34, 78, 156], Operations: ['93+63=156'] Exploring Operation: 156/78=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 156/78=2 Current State: 32:[34, 2], Operations: ['93+63=156', '156/78=2'] Exploring Operation: 34-2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 48, 84, 22, 40 ]
48
[ "48+22=70", "84*40=3360", "3360/70=48" ]
Current State: 48:[48, 84, 22, 40], Operations: [] Exploring Operation: 48+22=70, Resulting Numbers: [84, 40, 70] Generated Node #2: [84, 40, 70] from Operation: 48+22=70 Current State: 48:[84, 40, 70], Operations: ['48+22=70'] Exploring Operation: 84*40=3360, Resulting Numbers: [70, 3360] Generated Node #3: [70, 3360] from Operation: 84*40=3360 Current State: 48:[70, 3360], Operations: ['48+22=70', '84*40=3360'] Exploring Operation: 3360/70=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 81, 17, 16, 51 ]
30
[ "81-51=30", "17-16=1", "30*1=30" ]
Current State: 30:[81, 17, 16, 51], Operations: [] Exploring Operation: 81-51=30, Resulting Numbers: [17, 16, 30] Generated Node #2: [17, 16, 30] from Operation: 81-51=30 Current State: 30:[17, 16, 30], Operations: ['81-51=30'] Exploring Operation: 17-16=1, Resulting Numbers: [30, 1] Generated Node #3: [30, 1] from Operation: 17-16=1 Current State: 30:[30, 1], Operations: ['81-51=30', '17-16=1'] Exploring Operation: 30*1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 53, 32, 17, 51 ]
55
[ "53-32=21", "51-17=34", "21+34=55" ]
Current State: 55:[53, 32, 17, 51], Operations: [] Exploring Operation: 53-32=21, Resulting Numbers: [17, 51, 21] Generated Node #2: [17, 51, 21] from Operation: 53-32=21 Current State: 55:[17, 51, 21], Operations: ['53-32=21'] Exploring Operation: 51-17=34, Resulting Numbers: [21, 34] Generated Node #3: [21, 34] from Operation: 51-17=34 Current State: 55:[21, 34], Operations: ['53-32=21', '51-17=34'] Exploring Operation: 21+34=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 28, 4, 27, 4 ]
76
[ "28+4=32", "27*4=108", "108-32=76" ]
Current State: 76:[28, 4, 27, 4], Operations: [] Exploring Operation: 28+4=32, Resulting Numbers: [27, 32] Generated Node #2: [27, 32] from Operation: 28+4=32 Current State: 76:[27, 32], Operations: ['28+4=32'] Exploring Operation: 27*4=108, Resulting Numbers: [32, 108] Generated Node #3: [32, 108] from Operation: 27*4=108 Current State: 76:[32, 108], Operations: ['28+4=32', '27*4=108'] Exploring Operation: 108-32=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 17, 10, 49, 93 ]
97
[ "17*49=833", "10*93=930", "930-833=97" ]
Current State: 97:[17, 10, 49, 93], Operations: [] Exploring Operation: 17*49=833, Resulting Numbers: [10, 93, 833] Generated Node #2: [10, 93, 833] from Operation: 17*49=833 Current State: 97:[10, 93, 833], Operations: ['17*49=833'] Exploring Operation: 10*93=930, Resulting Numbers: [833, 930] Generated Node #3: [833, 930] from Operation: 10*93=930 Current State: 97:[833, 930], Operations: ['17*49=833', '10*93=930'] Exploring Operation: 930-833=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 18, 33, 20, 19 ]
90
[ "18+33=51", "20+19=39", "51+39=90" ]
Current State: 90:[18, 33, 20, 19], Operations: [] Exploring Operation: 18+33=51, Resulting Numbers: [20, 19, 51] Generated Node #2: [20, 19, 51] from Operation: 18+33=51 Current State: 90:[20, 19, 51], Operations: ['18+33=51'] Exploring Operation: 20+19=39, Resulting Numbers: [51, 39] Generated Node #3: [51, 39] from Operation: 20+19=39 Current State: 90:[51, 39], Operations: ['18+33=51', '20+19=39'] Exploring Operation: 51+39=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 29, 6, 26, 20 ]
30
[ "26-6=20", "20/20=1", "29+1=30" ]
Current State: 30:[29, 6, 26, 20], Operations: [] Exploring Operation: 26-6=20, Resulting Numbers: [29, 20, 20] Generated Node #2: [29, 20, 20] from Operation: 26-6=20 Current State: 30:[29, 20, 20], Operations: ['26-6=20'] Exploring Operation: 20/20=1, Resulting Numbers: [29, 1] Generated Node #3: [29, 1] from Operation: 20/20=1 Current State: 30:[29, 1], Operations: ['26-6=20', '20/20=1'] Exploring Operation: 29+1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 46, 25, 38, 47 ]
12
[ "46-25=21", "47-38=9", "21-9=12" ]
Current State: 12:[46, 25, 38, 47], Operations: [] Exploring Operation: 46-25=21, Resulting Numbers: [38, 47, 21] Generated Node #2: [38, 47, 21] from Operation: 46-25=21 Current State: 12:[38, 47, 21], Operations: ['46-25=21'] Exploring Operation: 47-38=9, Resulting Numbers: [21, 9] Generated Node #3: [21, 9] from Operation: 47-38=9 Current State: 12:[21, 9], Operations: ['46-25=21', '47-38=9'] Exploring Operation: 21-9=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 41, 8, 80, 98 ]
82
[ "41+8=49", "98/49=2", "80+2=82" ]
Current State: 82:[41, 8, 80, 98], Operations: [] Exploring Operation: 41+8=49, Resulting Numbers: [80, 98, 49] Generated Node #2: [80, 98, 49] from Operation: 41+8=49 Current State: 82:[80, 98, 49], Operations: ['41+8=49'] Exploring Operation: 98/49=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 98/49=2 Current State: 82:[80, 2], Operations: ['41+8=49', '98/49=2'] Exploring Operation: 80+2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 72, 70, 97, 83 ]
16
[ "72-70=2", "97-83=14", "2+14=16" ]
Current State: 16:[72, 70, 97, 83], Operations: [] Exploring Operation: 72-70=2, Resulting Numbers: [97, 83, 2] Generated Node #2: [97, 83, 2] from Operation: 72-70=2 Current State: 16:[97, 83, 2], Operations: ['72-70=2'] Exploring Operation: 97-83=14, Resulting Numbers: [2, 14] Generated Node #3: [2, 14] from Operation: 97-83=14 Current State: 16:[2, 14], Operations: ['72-70=2', '97-83=14'] Exploring Operation: 2+14=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 8, 11, 19, 5 ]
21
[ "11-8=3", "19+5=24", "24-3=21" ]
Current State: 21:[8, 11, 19, 5], Operations: [] Exploring Operation: 11-8=3, Resulting Numbers: [19, 5, 3] Generated Node #2: [19, 5, 3] from Operation: 11-8=3 Current State: 21:[19, 5, 3], Operations: ['11-8=3'] Exploring Operation: 19+5=24, Resulting Numbers: [3, 24] Generated Node #3: [3, 24] from Operation: 19+5=24 Current State: 21:[3, 24], Operations: ['11-8=3', '19+5=24'] Exploring Operation: 24-3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 43, 32, 96, 94 ]
48
[ "94-43=51", "96/32=3", "51-3=48" ]
Current State: 48:[43, 32, 96, 94], Operations: [] Exploring Operation: 94-43=51, Resulting Numbers: [32, 96, 51] Generated Node #2: [32, 96, 51] from Operation: 94-43=51 Current State: 48:[32, 96, 51], Operations: ['94-43=51'] Exploring Operation: 96/32=3, Resulting Numbers: [51, 3] Generated Node #3: [51, 3] from Operation: 96/32=3 Current State: 48:[51, 3], Operations: ['94-43=51', '96/32=3'] Exploring Operation: 51-3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 28, 94, 15, 95 ]
44
[ "94-28=66", "15+95=110", "110-66=44" ]
Current State: 44:[28, 94, 15, 95], Operations: [] Exploring Operation: 94-28=66, Resulting Numbers: [15, 95, 66] Generated Node #2: [15, 95, 66] from Operation: 94-28=66 Current State: 44:[15, 95, 66], Operations: ['94-28=66'] Exploring Operation: 15+95=110, Resulting Numbers: [66, 110] Generated Node #3: [66, 110] from Operation: 15+95=110 Current State: 44:[66, 110], Operations: ['94-28=66', '15+95=110'] Exploring Operation: 110-66=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 2, 50, 30, 14 ]
18
[ "30-14=16", "2*16=32", "50-32=18" ]
Current State: 18:[2, 50, 30, 14], Operations: [] Exploring Operation: 30-14=16, Resulting Numbers: [2, 50, 16] Generated Node #2: [2, 50, 16] from Operation: 30-14=16 Current State: 18:[2, 50, 16], Operations: ['30-14=16'] Exploring Operation: 2*16=32, Resulting Numbers: [50, 32] Generated Node #3: [50, 32] from Operation: 2*16=32 Current State: 18:[50, 32], Operations: ['30-14=16', '2*16=32'] Exploring Operation: 50-32=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 1, 95, 28, 7 ]
91
[ "1*95=95", "28/7=4", "95-4=91" ]
Current State: 91:[1, 95, 28, 7], Operations: [] Exploring Operation: 1*95=95, Resulting Numbers: [28, 7, 95] Generated Node #2: [28, 7, 95] from Operation: 1*95=95 Current State: 91:[28, 7, 95], Operations: ['1*95=95'] Exploring Operation: 28/7=4, Resulting Numbers: [95, 4] Generated Node #3: [95, 4] from Operation: 28/7=4 Current State: 91:[95, 4], Operations: ['1*95=95', '28/7=4'] Exploring Operation: 95-4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 13, 83, 38, 2 ]
51
[ "83-13=70", "38/2=19", "70-19=51" ]
Current State: 51:[13, 83, 38, 2], Operations: [] Exploring Operation: 83-13=70, Resulting Numbers: [38, 2, 70] Generated Node #2: [38, 2, 70] from Operation: 83-13=70 Current State: 51:[38, 2, 70], Operations: ['83-13=70'] Exploring Operation: 38/2=19, Resulting Numbers: [70, 19] Generated Node #3: [70, 19] from Operation: 38/2=19 Current State: 51:[70, 19], Operations: ['83-13=70', '38/2=19'] Exploring Operation: 70-19=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 26, 79, 12, 5 ]
45
[ "26+79=105", "12*5=60", "105-60=45" ]
Current State: 45:[26, 79, 12, 5], Operations: [] Exploring Operation: 26+79=105, Resulting Numbers: [12, 5, 105] Generated Node #2: [12, 5, 105] from Operation: 26+79=105 Current State: 45:[12, 5, 105], Operations: ['26+79=105'] Exploring Operation: 12*5=60, Resulting Numbers: [105, 60] Generated Node #3: [105, 60] from Operation: 12*5=60 Current State: 45:[105, 60], Operations: ['26+79=105', '12*5=60'] Exploring Operation: 105-60=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 65, 8, 15, 46 ]
26
[ "65-8=57", "46-15=31", "57-31=26" ]
Current State: 26:[65, 8, 15, 46], Operations: [] Exploring Operation: 65-8=57, Resulting Numbers: [15, 46, 57] Generated Node #2: [15, 46, 57] from Operation: 65-8=57 Current State: 26:[15, 46, 57], Operations: ['65-8=57'] Exploring Operation: 46-15=31, Resulting Numbers: [57, 31] Generated Node #3: [57, 31] from Operation: 46-15=31 Current State: 26:[57, 31], Operations: ['65-8=57', '46-15=31'] Exploring Operation: 57-31=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 68, 61, 94, 60 ]
59
[ "94-60=34", "68/34=2", "61-2=59" ]
Current State: 59:[68, 61, 94, 60], Operations: [] Exploring Operation: 94-60=34, Resulting Numbers: [68, 61, 34] Generated Node #2: [68, 61, 34] from Operation: 94-60=34 Current State: 59:[68, 61, 34], Operations: ['94-60=34'] Exploring Operation: 68/34=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 68/34=2 Current State: 59:[61, 2], Operations: ['94-60=34', '68/34=2'] Exploring Operation: 61-2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 6, 37, 5, 37 ]
85
[ "6+37=43", "5+37=42", "43+42=85" ]
Current State: 85:[6, 37, 5, 37], Operations: [] Exploring Operation: 6+37=43, Resulting Numbers: [5, 43] Generated Node #2: [5, 43] from Operation: 6+37=43 Current State: 85:[5, 43], Operations: ['6+37=43'] Exploring Operation: 5+37=42, Resulting Numbers: [43, 42] Generated Node #3: [43, 42] from Operation: 5+37=42 Current State: 85:[43, 42], Operations: ['6+37=43', '5+37=42'] Exploring Operation: 43+42=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 10, 94, 93, 90 ]
100
[ "10+90=100", "94-93=1", "100*1=100" ]
Current State: 100:[10, 94, 93, 90], Operations: [] Exploring Operation: 10+90=100, Resulting Numbers: [94, 93, 100] Generated Node #2: [94, 93, 100] from Operation: 10+90=100 Current State: 100:[94, 93, 100], Operations: ['10+90=100'] Exploring Operation: 94-93=1, Resulting Numbers: [100, 1] Generated Node #3: [100, 1] from Operation: 94-93=1 Current State: 100:[100, 1], Operations: ['10+90=100', '94-93=1'] Exploring Operation: 100*1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 13, 16, 48, 30 ]
20
[ "30-13=17", "48/16=3", "17+3=20" ]
Current State: 20:[13, 16, 48, 30], Operations: [] Exploring Operation: 30-13=17, Resulting Numbers: [16, 48, 17] Generated Node #2: [16, 48, 17] from Operation: 30-13=17 Current State: 20:[16, 48, 17], Operations: ['30-13=17'] Exploring Operation: 48/16=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 48/16=3 Current State: 20:[17, 3], Operations: ['30-13=17', '48/16=3'] Exploring Operation: 17+3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 42, 79, 81, 70 ]
56
[ "42+70=112", "81-79=2", "112/2=56" ]
Current State: 56:[42, 79, 81, 70], Operations: [] Exploring Operation: 42+70=112, Resulting Numbers: [79, 81, 112] Generated Node #2: [79, 81, 112] from Operation: 42+70=112 Current State: 56:[79, 81, 112], Operations: ['42+70=112'] Exploring Operation: 81-79=2, Resulting Numbers: [112, 2] Generated Node #3: [112, 2] from Operation: 81-79=2 Current State: 56:[112, 2], Operations: ['42+70=112', '81-79=2'] Exploring Operation: 112/2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 75, 51, 8, 9 ]
96
[ "75-51=24", "8*9=72", "24+72=96" ]
Current State: 96:[75, 51, 8, 9], Operations: [] Exploring Operation: 75-51=24, Resulting Numbers: [8, 9, 24] Generated Node #2: [8, 9, 24] from Operation: 75-51=24 Current State: 96:[8, 9, 24], Operations: ['75-51=24'] Exploring Operation: 8*9=72, Resulting Numbers: [24, 72] Generated Node #3: [24, 72] from Operation: 8*9=72 Current State: 96:[24, 72], Operations: ['75-51=24', '8*9=72'] Exploring Operation: 24+72=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 65, 85, 25, 91 ]
34
[ "65+85=150", "25+91=116", "150-116=34" ]
Current State: 34:[65, 85, 25, 91], Operations: [] Exploring Operation: 65+85=150, Resulting Numbers: [25, 91, 150] Generated Node #2: [25, 91, 150] from Operation: 65+85=150 Current State: 34:[25, 91, 150], Operations: ['65+85=150'] Exploring Operation: 25+91=116, Resulting Numbers: [150, 116] Generated Node #3: [150, 116] from Operation: 25+91=116 Current State: 34:[150, 116], Operations: ['65+85=150', '25+91=116'] Exploring Operation: 150-116=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 55, 9, 33, 8 ]
66
[ "55*9=495", "33+495=528", "528/8=66" ]
Current State: 66:[55, 9, 33, 8], Operations: [] Exploring Operation: 55*9=495, Resulting Numbers: [33, 8, 495] Generated Node #2: [33, 8, 495] from Operation: 55*9=495 Current State: 66:[33, 8, 495], Operations: ['55*9=495'] Exploring Operation: 33+495=528, Resulting Numbers: [8, 528] Generated Node #3: [8, 528] from Operation: 33+495=528 Current State: 66:[8, 528], Operations: ['55*9=495', '33+495=528'] Exploring Operation: 528/8=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 14, 5, 70, 19 ]
32
[ "14+5=19", "70-19=51", "51-19=32" ]
Current State: 32:[14, 5, 70, 19], Operations: [] Exploring Operation: 14+5=19, Resulting Numbers: [70, 19, 19] Generated Node #2: [70, 19, 19] from Operation: 14+5=19 Current State: 32:[70, 19, 19], Operations: ['14+5=19'] Exploring Operation: 70-19=51, Resulting Numbers: [51] 51,32 equal: Goal Reached Exploring Operation: 51-19=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 3, 91, 57, 88 ]
51
[ "3+91=94", "57+88=145", "145-94=51" ]
Current State: 51:[3, 91, 57, 88], Operations: [] Exploring Operation: 3+91=94, Resulting Numbers: [57, 88, 94] Generated Node #2: [57, 88, 94] from Operation: 3+91=94 Current State: 51:[57, 88, 94], Operations: ['3+91=94'] Exploring Operation: 57+88=145, Resulting Numbers: [94, 145] Generated Node #3: [94, 145] from Operation: 57+88=145 Current State: 51:[94, 145], Operations: ['3+91=94', '57+88=145'] Exploring Operation: 145-94=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 95, 65, 38, 13 ]
62
[ "95-38=57", "65/13=5", "57+5=62" ]
Current State: 62:[95, 65, 38, 13], Operations: [] Exploring Operation: 95-38=57, Resulting Numbers: [65, 13, 57] Generated Node #2: [65, 13, 57] from Operation: 95-38=57 Current State: 62:[65, 13, 57], Operations: ['95-38=57'] Exploring Operation: 65/13=5, Resulting Numbers: [57, 5] Generated Node #3: [57, 5] from Operation: 65/13=5 Current State: 62:[57, 5], Operations: ['95-38=57', '65/13=5'] Exploring Operation: 57+5=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 80, 96, 5, 96 ]
30
[ "96-80=16", "5*96=480", "480/16=30" ]
Current State: 30:[80, 96, 5, 96], Operations: [] Exploring Operation: 96-80=16, Resulting Numbers: [5, 16] Generated Node #2: [5, 16] from Operation: 96-80=16 Current State: 30:[5, 16], Operations: ['96-80=16'] Exploring Operation: 5*96=480, Resulting Numbers: [16, 480] Generated Node #3: [16, 480] from Operation: 5*96=480 Current State: 30:[16, 480], Operations: ['96-80=16', '5*96=480'] Exploring Operation: 480/16=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 60, 34, 7, 87 ]
49
[ "60+34=94", "94-87=7", "7*7=49" ]
Current State: 49:[60, 34, 7, 87], Operations: [] Exploring Operation: 60+34=94, Resulting Numbers: [7, 87, 94] Generated Node #2: [7, 87, 94] from Operation: 60+34=94 Current State: 49:[7, 87, 94], Operations: ['60+34=94'] Exploring Operation: 94-87=7, Resulting Numbers: [7, 7] Generated Node #3: [7, 7] from Operation: 94-87=7 Current State: 49:[7, 7], Operations: ['60+34=94', '94-87=7'] Exploring Operation: 7*7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 7, 22, 29, 20 ]
72
[ "7+29=36", "22-20=2", "36*2=72" ]
Current State: 72:[7, 22, 29, 20], Operations: [] Exploring Operation: 7+29=36, Resulting Numbers: [22, 20, 36] Generated Node #2: [22, 20, 36] from Operation: 7+29=36 Current State: 72:[22, 20, 36], Operations: ['7+29=36'] Exploring Operation: 22-20=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 22-20=2 Current State: 72:[36, 2], Operations: ['7+29=36', '22-20=2'] Exploring Operation: 36*2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 98, 90, 72, 96 ]
87
[ "98-90=8", "72/8=9", "96-9=87" ]
Current State: 87:[98, 90, 72, 96], Operations: [] Exploring Operation: 98-90=8, Resulting Numbers: [72, 96, 8] Generated Node #2: [72, 96, 8] from Operation: 98-90=8 Current State: 87:[72, 96, 8], Operations: ['98-90=8'] Exploring Operation: 72/8=9, Resulting Numbers: [96, 9] Generated Node #3: [96, 9] from Operation: 72/8=9 Current State: 87:[96, 9], Operations: ['98-90=8', '72/8=9'] Exploring Operation: 96-9=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 32, 62, 27, 29 ]
92
[ "32+62=94", "29-27=2", "94-2=92" ]
Current State: 92:[32, 62, 27, 29], Operations: [] Exploring Operation: 32+62=94, Resulting Numbers: [27, 29, 94] Generated Node #2: [27, 29, 94] from Operation: 32+62=94 Current State: 92:[27, 29, 94], Operations: ['32+62=94'] Exploring Operation: 29-27=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 29-27=2 Current State: 92:[94, 2], Operations: ['32+62=94', '29-27=2'] Exploring Operation: 94-2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 46, 20, 89, 34 ]
97
[ "46-20=26", "89+34=123", "123-26=97" ]
Current State: 97:[46, 20, 89, 34], Operations: [] Exploring Operation: 46-20=26, Resulting Numbers: [89, 34, 26] Generated Node #2: [89, 34, 26] from Operation: 46-20=26 Current State: 97:[89, 34, 26], Operations: ['46-20=26'] Exploring Operation: 89+34=123, Resulting Numbers: [26, 123] Generated Node #3: [26, 123] from Operation: 89+34=123 Current State: 97:[26, 123], Operations: ['46-20=26', '89+34=123'] Exploring Operation: 123-26=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 14, 6, 6, 12 ]
11
[ "6*6=36", "36/12=3", "14-3=11" ]
Current State: 11:[14, 6, 6, 12], Operations: [] Exploring Operation: 6*6=36, Resulting Numbers: [14, 12, 36] Generated Node #2: [14, 12, 36] from Operation: 6*6=36 Current State: 11:[14, 12, 36], Operations: ['6*6=36'] Exploring Operation: 36/12=3, Resulting Numbers: [14, 3] Generated Node #3: [14, 3] from Operation: 36/12=3 Current State: 11:[14, 3], Operations: ['6*6=36', '36/12=3'] Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 37, 80, 13, 65 ]
38
[ "80-37=43", "65/13=5", "43-5=38" ]
Current State: 38:[37, 80, 13, 65], Operations: [] Exploring Operation: 80-37=43, Resulting Numbers: [13, 65, 43] Generated Node #2: [13, 65, 43] from Operation: 80-37=43 Current State: 38:[13, 65, 43], Operations: ['80-37=43'] Exploring Operation: 65/13=5, Resulting Numbers: [43, 5] Generated Node #3: [43, 5] from Operation: 65/13=5 Current State: 38:[43, 5], Operations: ['80-37=43', '65/13=5'] Exploring Operation: 43-5=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 59, 58, 64, 75 ]
85
[ "64-59=5", "75-58=17", "5*17=85" ]
Current State: 85:[59, 58, 64, 75], Operations: [] Exploring Operation: 64-59=5, Resulting Numbers: [58, 75, 5] Generated Node #2: [58, 75, 5] from Operation: 64-59=5 Current State: 85:[58, 75, 5], Operations: ['64-59=5'] Exploring Operation: 75-58=17, Resulting Numbers: [5, 17] Generated Node #3: [5, 17] from Operation: 75-58=17 Current State: 85:[5, 17], Operations: ['64-59=5', '75-58=17'] Exploring Operation: 5*17=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 61, 6, 96, 91 ]
62
[ "61+6=67", "96-91=5", "67-5=62" ]
Current State: 62:[61, 6, 96, 91], Operations: [] Exploring Operation: 61+6=67, Resulting Numbers: [96, 91, 67] Generated Node #2: [96, 91, 67] from Operation: 61+6=67 Current State: 62:[96, 91, 67], Operations: ['61+6=67'] Exploring Operation: 96-91=5, Resulting Numbers: [67, 5] Generated Node #3: [67, 5] from Operation: 96-91=5 Current State: 62:[67, 5], Operations: ['61+6=67', '96-91=5'] Exploring Operation: 67-5=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 57, 76, 81, 9 ]
96
[ "81-9=72", "76*72=5472", "5472/57=96" ]
Current State: 96:[57, 76, 81, 9], Operations: [] Exploring Operation: 81-9=72, Resulting Numbers: [57, 76, 72] Generated Node #2: [57, 76, 72] from Operation: 81-9=72 Current State: 96:[57, 76, 72], Operations: ['81-9=72'] Exploring Operation: 76*72=5472, Resulting Numbers: [57, 5472] Generated Node #3: [57, 5472] from Operation: 76*72=5472 Current State: 96:[57, 5472], Operations: ['81-9=72', '76*72=5472'] Exploring Operation: 5472/57=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 80, 1, 63, 42 ]
24
[ "80+1=81", "63+42=105", "105-81=24" ]
Current State: 24:[80, 1, 63, 42], Operations: [] Exploring Operation: 80+1=81, Resulting Numbers: [63, 42, 81] Generated Node #2: [63, 42, 81] from Operation: 80+1=81 Current State: 24:[63, 42, 81], Operations: ['80+1=81'] Exploring Operation: 63+42=105, Resulting Numbers: [81, 105] Generated Node #3: [81, 105] from Operation: 63+42=105 Current State: 24:[81, 105], Operations: ['80+1=81', '63+42=105'] Exploring Operation: 105-81=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 10, 66, 70, 41 ]
32
[ "70/10=7", "66-41=25", "7+25=32" ]
Current State: 32:[10, 66, 70, 41], Operations: [] Exploring Operation: 70/10=7, Resulting Numbers: [66, 41, 7] Generated Node #2: [66, 41, 7] from Operation: 70/10=7 Current State: 32:[66, 41, 7], Operations: ['70/10=7'] Exploring Operation: 66-41=25, Resulting Numbers: [7, 25] Generated Node #3: [7, 25] from Operation: 66-41=25 Current State: 32:[7, 25], Operations: ['70/10=7', '66-41=25'] Exploring Operation: 7+25=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 35, 79, 49, 39 ]
32
[ "39-35=4", "79+49=128", "128/4=32" ]
Current State: 32:[35, 79, 49, 39], Operations: [] Exploring Operation: 39-35=4, Resulting Numbers: [79, 49, 4] Generated Node #2: [79, 49, 4] from Operation: 39-35=4 Current State: 32:[79, 49, 4], Operations: ['39-35=4'] Exploring Operation: 79+49=128, Resulting Numbers: [4, 128] Generated Node #3: [4, 128] from Operation: 79+49=128 Current State: 32:[4, 128], Operations: ['39-35=4', '79+49=128'] Exploring Operation: 128/4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 86, 12, 16, 7 ]
38
[ "86-12=74", "16*7=112", "112-74=38" ]
Current State: 38:[86, 12, 16, 7], Operations: [] Exploring Operation: 86-12=74, Resulting Numbers: [16, 7, 74] Generated Node #2: [16, 7, 74] from Operation: 86-12=74 Current State: 38:[16, 7, 74], Operations: ['86-12=74'] Exploring Operation: 16*7=112, Resulting Numbers: [74, 112] Generated Node #3: [74, 112] from Operation: 16*7=112 Current State: 38:[74, 112], Operations: ['86-12=74', '16*7=112'] Exploring Operation: 112-74=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 62, 46, 49, 3 ]
91
[ "62*3=186", "46+49=95", "186-95=91" ]
Current State: 91:[62, 46, 49, 3], Operations: [] Exploring Operation: 62*3=186, Resulting Numbers: [46, 49, 186] Generated Node #2: [46, 49, 186] from Operation: 62*3=186 Current State: 91:[46, 49, 186], Operations: ['62*3=186'] Exploring Operation: 46+49=95, Resulting Numbers: [186, 95] Generated Node #3: [186, 95] from Operation: 46+49=95 Current State: 91:[186, 95], Operations: ['62*3=186', '46+49=95'] Exploring Operation: 186-95=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 4, 70, 20, 64 ]
67
[ "64-4=60", "60/20=3", "70-3=67" ]
Current State: 67:[4, 70, 20, 64], Operations: [] Exploring Operation: 64-4=60, Resulting Numbers: [70, 20, 60] Generated Node #2: [70, 20, 60] from Operation: 64-4=60 Current State: 67:[70, 20, 60], Operations: ['64-4=60'] Exploring Operation: 60/20=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 60/20=3 Current State: 67:[70, 3], Operations: ['64-4=60', '60/20=3'] Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 18, 97, 65, 51 ]
37
[ "97-18=79", "65+51=116", "116-79=37" ]
Current State: 37:[18, 97, 65, 51], Operations: [] Exploring Operation: 97-18=79, Resulting Numbers: [65, 51, 79] Generated Node #2: [65, 51, 79] from Operation: 97-18=79 Current State: 37:[65, 51, 79], Operations: ['97-18=79'] Exploring Operation: 65+51=116, Resulting Numbers: [79, 116] Generated Node #3: [79, 116] from Operation: 65+51=116 Current State: 37:[79, 116], Operations: ['97-18=79', '65+51=116'] Exploring Operation: 116-79=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 95, 53, 54, 53 ]
43
[ "95-53=42", "54-53=1", "42+1=43" ]
Current State: 43:[95, 53, 54, 53], Operations: [] Exploring Operation: 95-53=42, Resulting Numbers: [54, 42] Generated Node #2: [54, 42] from Operation: 95-53=42 Current State: 43:[54, 42], Operations: ['95-53=42'] Exploring Operation: 54-53=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 54-53=1 Current State: 43:[42, 1], Operations: ['95-53=42', '54-53=1'] Exploring Operation: 42+1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 28, 31, 47, 97 ]
85
[ "28+31=59", "47+97=144", "144-59=85" ]
Current State: 85:[28, 31, 47, 97], Operations: [] Exploring Operation: 28+31=59, Resulting Numbers: [47, 97, 59] Generated Node #2: [47, 97, 59] from Operation: 28+31=59 Current State: 85:[47, 97, 59], Operations: ['28+31=59'] Exploring Operation: 47+97=144, Resulting Numbers: [59, 144] Generated Node #3: [59, 144] from Operation: 47+97=144 Current State: 85:[59, 144], Operations: ['28+31=59', '47+97=144'] Exploring Operation: 144-59=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 61, 85, 68, 4 ]
88
[ "85-61=24", "68-4=64", "24+64=88" ]
Current State: 88:[61, 85, 68, 4], Operations: [] Exploring Operation: 85-61=24, Resulting Numbers: [68, 4, 24] Generated Node #2: [68, 4, 24] from Operation: 85-61=24 Current State: 88:[68, 4, 24], Operations: ['85-61=24'] Exploring Operation: 68-4=64, Resulting Numbers: [24, 64] Generated Node #3: [24, 64] from Operation: 68-4=64 Current State: 88:[24, 64], Operations: ['85-61=24', '68-4=64'] Exploring Operation: 24+64=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 81, 63, 14, 16 ]
80
[ "81+63=144", "14*16=224", "224-144=80" ]
Current State: 80:[81, 63, 14, 16], Operations: [] Exploring Operation: 81+63=144, Resulting Numbers: [14, 16, 144] Generated Node #2: [14, 16, 144] from Operation: 81+63=144 Current State: 80:[14, 16, 144], Operations: ['81+63=144'] Exploring Operation: 14*16=224, Resulting Numbers: [144, 224] Generated Node #3: [144, 224] from Operation: 14*16=224 Current State: 80:[144, 224], Operations: ['81+63=144', '14*16=224'] Exploring Operation: 224-144=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 22, 40, 26, 38 ]
28
[ "26-22=4", "40/4=10", "38-10=28" ]
Current State: 28:[22, 40, 26, 38], Operations: [] Exploring Operation: 26-22=4, Resulting Numbers: [40, 38, 4] Generated Node #2: [40, 38, 4] from Operation: 26-22=4 Current State: 28:[40, 38, 4], Operations: ['26-22=4'] Exploring Operation: 40/4=10, Resulting Numbers: [38, 10] Generated Node #3: [38, 10] from Operation: 40/4=10 Current State: 28:[38, 10], Operations: ['26-22=4', '40/4=10'] Exploring Operation: 38-10=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 46, 16, 52, 11 ]
78
[ "46+52=98", "16*11=176", "176-98=78" ]
Current State: 78:[46, 16, 52, 11], Operations: [] Exploring Operation: 46+52=98, Resulting Numbers: [16, 11, 98] Generated Node #2: [16, 11, 98] from Operation: 46+52=98 Current State: 78:[16, 11, 98], Operations: ['46+52=98'] Exploring Operation: 16*11=176, Resulting Numbers: [98, 176] Generated Node #3: [98, 176] from Operation: 16*11=176 Current State: 78:[98, 176], Operations: ['46+52=98', '16*11=176'] Exploring Operation: 176-98=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 3, 45, 92, 31 ]
12
[ "3*45=135", "92+31=123", "135-123=12" ]
Current State: 12:[3, 45, 92, 31], Operations: [] Exploring Operation: 3*45=135, Resulting Numbers: [92, 31, 135] Generated Node #2: [92, 31, 135] from Operation: 3*45=135 Current State: 12:[92, 31, 135], Operations: ['3*45=135'] Exploring Operation: 92+31=123, Resulting Numbers: [135, 123] Generated Node #3: [135, 123] from Operation: 92+31=123 Current State: 12:[135, 123], Operations: ['3*45=135', '92+31=123'] Exploring Operation: 135-123=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 60, 51, 1, 66 ]
46
[ "60+51=111", "66-1=65", "111-65=46" ]
Current State: 46:[60, 51, 1, 66], Operations: [] Exploring Operation: 60+51=111, Resulting Numbers: [1, 66, 111] Generated Node #2: [1, 66, 111] from Operation: 60+51=111 Current State: 46:[1, 66, 111], Operations: ['60+51=111'] Exploring Operation: 66-1=65, Resulting Numbers: [111, 65] Generated Node #3: [111, 65] from Operation: 66-1=65 Current State: 46:[111, 65], Operations: ['60+51=111', '66-1=65'] Exploring Operation: 111-65=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4