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
[ 69, 97, 92, 7 ]
71
[ "97-69=28", "92+7=99", "99-28=71" ]
Current State: 71:[69, 97, 92, 7], Operations: [] Exploring Operation: 97-69=28, Resulting Numbers: [92, 7, 28] Generated Node #2: [92, 7, 28] from Operation: 97-69=28 Current State: 71:[92, 7, 28], Operations: ['97-69=28'] Exploring Operation: 92+7=99, Resulting Numbers: [28, 99] Generated Node #3: [28, 99] from Operation: 92+7=99 Current State: 71:[28, 99], Operations: ['97-69=28', '92+7=99'] Exploring Operation: 99-28=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 76, 21, 17, 29 ]
27
[ "21+17=38", "76/38=2", "29-2=27" ]
Current State: 27:[76, 21, 17, 29], Operations: [] Exploring Operation: 21+17=38, Resulting Numbers: [76, 29, 38] Generated Node #2: [76, 29, 38] from Operation: 21+17=38 Current State: 27:[76, 29, 38], Operations: ['21+17=38'] Exploring Operation: 76/38=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 76/38=2 Current State: 27:[29, 2], Operations: ['21+17=38', '76/38=2'] Exploring Operation: 29-2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 21, 57, 23, 84 ]
20
[ "84/21=4", "57+23=80", "80/4=20" ]
Current State: 20:[21, 57, 23, 84], Operations: [] Exploring Operation: 84/21=4, Resulting Numbers: [57, 23, 4] Generated Node #2: [57, 23, 4] from Operation: 84/21=4 Current State: 20:[57, 23, 4], Operations: ['84/21=4'] Exploring Operation: 57+23=80, Resulting Numbers: [4, 80] Generated Node #3: [4, 80] from Operation: 57+23=80 Current State: 20:[4, 80], Operations: ['84/21=4', '57+23=80'] Exploring Operation: 80/4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 66, 35, 26, 52 ]
23
[ "66+35=101", "26+52=78", "101-78=23" ]
Current State: 23:[66, 35, 26, 52], Operations: [] Exploring Operation: 66+35=101, Resulting Numbers: [26, 52, 101] Generated Node #2: [26, 52, 101] from Operation: 66+35=101 Current State: 23:[26, 52, 101], Operations: ['66+35=101'] Exploring Operation: 26+52=78, Resulting Numbers: [101, 78] Generated Node #3: [101, 78] from Operation: 26+52=78 Current State: 23:[101, 78], Operations: ['66+35=101', '26+52=78'] Exploring Operation: 101-78=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 32, 52, 42, 32 ]
93
[ "32/32=1", "52+42=94", "94-1=93" ]
Current State: 93:[32, 52, 42, 32], Operations: [] Exploring Operation: 32/32=1, Resulting Numbers: [52, 42, 1] Generated Node #2: [52, 42, 1] from Operation: 32/32=1 Current State: 93:[52, 42, 1], Operations: ['32/32=1'] Exploring Operation: 52+42=94, Resulting Numbers: [1, 94] Generated Node #3: [1, 94] from Operation: 52+42=94 Current State: 93:[1, 94], Operations: ['32/32=1', '52+42=94'] Exploring Operation: 94-1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 20, 27, 15, 19 ]
81
[ "20+27=47", "15+19=34", "47+34=81" ]
Current State: 81:[20, 27, 15, 19], Operations: [] Exploring Operation: 20+27=47, Resulting Numbers: [15, 19, 47] Generated Node #2: [15, 19, 47] from Operation: 20+27=47 Current State: 81:[15, 19, 47], Operations: ['20+27=47'] Exploring Operation: 15+19=34, Resulting Numbers: [47, 34] Generated Node #3: [47, 34] from Operation: 15+19=34 Current State: 81:[47, 34], Operations: ['20+27=47', '15+19=34'] Exploring Operation: 47+34=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 52, 4, 18, 66 ]
38
[ "66-52=14", "4*14=56", "56-18=38" ]
Current State: 38:[52, 4, 18, 66], Operations: [] Exploring Operation: 66-52=14, Resulting Numbers: [4, 18, 14] Generated Node #2: [4, 18, 14] from Operation: 66-52=14 Current State: 38:[4, 18, 14], Operations: ['66-52=14'] Exploring Operation: 4*14=56, Resulting Numbers: [18, 56] Generated Node #3: [18, 56] from Operation: 4*14=56 Current State: 38:[18, 56], Operations: ['66-52=14', '4*14=56'] Exploring Operation: 56-18=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 21, 24, 92, 90 ]
27
[ "92-90=2", "24*2=48", "48-21=27" ]
Current State: 27:[21, 24, 92, 90], Operations: [] Exploring Operation: 92-90=2, Resulting Numbers: [21, 24, 2] Generated Node #2: [21, 24, 2] from Operation: 92-90=2 Current State: 27:[21, 24, 2], Operations: ['92-90=2'] Exploring Operation: 24*2=48, Resulting Numbers: [21, 48] Generated Node #3: [21, 48] from Operation: 24*2=48 Current State: 27:[21, 48], Operations: ['92-90=2', '24*2=48'] Exploring Operation: 48-21=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 9, 32, 16, 6 ]
36
[ "32/16=2", "6-2=4", "9*4=36" ]
Current State: 36:[9, 32, 16, 6], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [9, 6, 2] Generated Node #2: [9, 6, 2] from Operation: 32/16=2 Current State: 36:[9, 6, 2], Operations: ['32/16=2'] Exploring Operation: 6-2=4, Resulting Numbers: [9, 4] Generated Node #3: [9, 4] from Operation: 6-2=4 Current State: 36:[9, 4], Operations: ['32/16=2', '6-2=4'] Exploring Operation: 9*4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 38, 34, 64, 89 ]
81
[ "38+34=72", "64+89=153", "153-72=81" ]
Current State: 81:[38, 34, 64, 89], Operations: [] Exploring Operation: 38+34=72, Resulting Numbers: [64, 89, 72] Generated Node #2: [64, 89, 72] from Operation: 38+34=72 Current State: 81:[64, 89, 72], Operations: ['38+34=72'] Exploring Operation: 64+89=153, Resulting Numbers: [72, 153] Generated Node #3: [72, 153] from Operation: 64+89=153 Current State: 81:[72, 153], Operations: ['38+34=72', '64+89=153'] Exploring Operation: 153-72=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 15, 2, 41, 59 ]
21
[ "59-41=18", "2*18=36", "36-15=21" ]
Current State: 21:[15, 2, 41, 59], Operations: [] Exploring Operation: 59-41=18, Resulting Numbers: [15, 2, 18] Generated Node #2: [15, 2, 18] from Operation: 59-41=18 Current State: 21:[15, 2, 18], Operations: ['59-41=18'] Exploring Operation: 2*18=36, Resulting Numbers: [15, 36] Generated Node #3: [15, 36] from Operation: 2*18=36 Current State: 21:[15, 36], Operations: ['59-41=18', '2*18=36'] Exploring Operation: 36-15=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 2, 75, 74, 81 ]
71
[ "81-75=6", "6/2=3", "74-3=71" ]
Current State: 71:[2, 75, 74, 81], Operations: [] Exploring Operation: 81-75=6, Resulting Numbers: [2, 74, 6] Generated Node #2: [2, 74, 6] from Operation: 81-75=6 Current State: 71:[2, 74, 6], Operations: ['81-75=6'] Exploring Operation: 6/2=3, Resulting Numbers: [74, 3] Generated Node #3: [74, 3] from Operation: 6/2=3 Current State: 71:[74, 3], Operations: ['81-75=6', '6/2=3'] Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 95, 92, 7, 75 ]
54
[ "95-92=3", "7*3=21", "75-21=54" ]
Current State: 54:[95, 92, 7, 75], Operations: [] Exploring Operation: 95-92=3, Resulting Numbers: [7, 75, 3] Generated Node #2: [7, 75, 3] from Operation: 95-92=3 Current State: 54:[7, 75, 3], Operations: ['95-92=3'] Exploring Operation: 7*3=21, Resulting Numbers: [75, 21] Generated Node #3: [75, 21] from Operation: 7*3=21 Current State: 54:[75, 21], Operations: ['95-92=3', '7*3=21'] Exploring Operation: 75-21=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 9, 20, 80, 31 ]
38
[ "20-9=11", "80-31=49", "49-11=38" ]
Current State: 38:[9, 20, 80, 31], Operations: [] Exploring Operation: 20-9=11, Resulting Numbers: [80, 31, 11] Generated Node #2: [80, 31, 11] from Operation: 20-9=11 Current State: 38:[80, 31, 11], Operations: ['20-9=11'] Exploring Operation: 80-31=49, Resulting Numbers: [11, 49] Generated Node #3: [11, 49] from Operation: 80-31=49 Current State: 38:[11, 49], Operations: ['20-9=11', '80-31=49'] Exploring Operation: 49-11=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 31, 92, 56, 50 ]
94
[ "56-31=25", "50/25=2", "92+2=94" ]
Current State: 94:[31, 92, 56, 50], Operations: [] Exploring Operation: 56-31=25, Resulting Numbers: [92, 50, 25] Generated Node #2: [92, 50, 25] from Operation: 56-31=25 Current State: 94:[92, 50, 25], Operations: ['56-31=25'] Exploring Operation: 50/25=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 50/25=2 Current State: 94:[92, 2], Operations: ['56-31=25', '50/25=2'] Exploring Operation: 92+2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 97, 54, 89, 95 ]
88
[ "95-89=6", "54/6=9", "97-9=88" ]
Current State: 88:[97, 54, 89, 95], Operations: [] Exploring Operation: 95-89=6, Resulting Numbers: [97, 54, 6] Generated Node #2: [97, 54, 6] from Operation: 95-89=6 Current State: 88:[97, 54, 6], Operations: ['95-89=6'] Exploring Operation: 54/6=9, Resulting Numbers: [97, 9] Generated Node #3: [97, 9] from Operation: 54/6=9 Current State: 88:[97, 9], Operations: ['95-89=6', '54/6=9'] Exploring Operation: 97-9=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 35, 98, 3, 41 ]
80
[ "41-35=6", "3*6=18", "98-18=80" ]
Current State: 80:[35, 98, 3, 41], Operations: [] Exploring Operation: 41-35=6, Resulting Numbers: [98, 3, 6] Generated Node #2: [98, 3, 6] from Operation: 41-35=6 Current State: 80:[98, 3, 6], Operations: ['41-35=6'] Exploring Operation: 3*6=18, Resulting Numbers: [98, 18] Generated Node #3: [98, 18] from Operation: 3*6=18 Current State: 80:[98, 18], Operations: ['41-35=6', '3*6=18'] Exploring Operation: 98-18=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 63, 11, 8, 66 ]
64
[ "63+11=74", "74-66=8", "8*8=64" ]
Current State: 64:[63, 11, 8, 66], Operations: [] Exploring Operation: 63+11=74, Resulting Numbers: [8, 66, 74] Generated Node #2: [8, 66, 74] from Operation: 63+11=74 Current State: 64:[8, 66, 74], Operations: ['63+11=74'] Exploring Operation: 74-66=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 74-66=8 Current State: 64:[8, 8], Operations: ['63+11=74', '74-66=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 55, 41, 3, 92 ]
98
[ "92-41=51", "3*51=153", "153-55=98" ]
Current State: 98:[55, 41, 3, 92], Operations: [] Exploring Operation: 92-41=51, Resulting Numbers: [55, 3, 51] Generated Node #2: [55, 3, 51] from Operation: 92-41=51 Current State: 98:[55, 3, 51], Operations: ['92-41=51'] Exploring Operation: 3*51=153, Resulting Numbers: [55, 153] Generated Node #3: [55, 153] from Operation: 3*51=153 Current State: 98:[55, 153], Operations: ['92-41=51', '3*51=153'] Exploring Operation: 153-55=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 65, 95, 51, 19 ]
90
[ "65+95=160", "51+19=70", "160-70=90" ]
Current State: 90:[65, 95, 51, 19], Operations: [] Exploring Operation: 65+95=160, Resulting Numbers: [51, 19, 160] Generated Node #2: [51, 19, 160] from Operation: 65+95=160 Current State: 90:[51, 19, 160], Operations: ['65+95=160'] Exploring Operation: 51+19=70, Resulting Numbers: [160, 70] Generated Node #3: [160, 70] from Operation: 51+19=70 Current State: 90:[160, 70], Operations: ['65+95=160', '51+19=70'] Exploring Operation: 160-70=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 77, 51, 79, 78 ]
29
[ "77+51=128", "79+78=157", "157-128=29" ]
Current State: 29:[77, 51, 79, 78], Operations: [] Exploring Operation: 77+51=128, Resulting Numbers: [79, 78, 128] Generated Node #2: [79, 78, 128] from Operation: 77+51=128 Current State: 29:[79, 78, 128], Operations: ['77+51=128'] Exploring Operation: 79+78=157, Resulting Numbers: [128, 157] Generated Node #3: [128, 157] from Operation: 79+78=157 Current State: 29:[128, 157], Operations: ['77+51=128', '79+78=157'] Exploring Operation: 157-128=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 52, 15, 82, 37 ]
35
[ "82-52=30", "30/15=2", "37-2=35" ]
Current State: 35:[52, 15, 82, 37], Operations: [] Exploring Operation: 82-52=30, Resulting Numbers: [15, 37, 30] Generated Node #2: [15, 37, 30] from Operation: 82-52=30 Current State: 35:[15, 37, 30], Operations: ['82-52=30'] Exploring Operation: 30/15=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 30/15=2 Current State: 35:[37, 2], Operations: ['82-52=30', '30/15=2'] Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 17, 1, 74, 70 ]
72
[ "17+1=18", "74-70=4", "18*4=72" ]
Current State: 72:[17, 1, 74, 70], Operations: [] Exploring Operation: 17+1=18, Resulting Numbers: [74, 70, 18] Generated Node #2: [74, 70, 18] from Operation: 17+1=18 Current State: 72:[74, 70, 18], Operations: ['17+1=18'] Exploring Operation: 74-70=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 74-70=4 Current State: 72:[18, 4], Operations: ['17+1=18', '74-70=4'] Exploring Operation: 18*4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 20, 80, 37, 96 ]
33
[ "20+80=100", "37+96=133", "133-100=33" ]
Current State: 33:[20, 80, 37, 96], Operations: [] Exploring Operation: 20+80=100, Resulting Numbers: [37, 96, 100] Generated Node #2: [37, 96, 100] from Operation: 20+80=100 Current State: 33:[37, 96, 100], Operations: ['20+80=100'] Exploring Operation: 37+96=133, Resulting Numbers: [100, 133] Generated Node #3: [100, 133] from Operation: 37+96=133 Current State: 33:[100, 133], Operations: ['20+80=100', '37+96=133'] Exploring Operation: 133-100=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 80, 7, 45, 54 ]
78
[ "80+7=87", "54-45=9", "87-9=78" ]
Current State: 78:[80, 7, 45, 54], Operations: [] Exploring Operation: 80+7=87, Resulting Numbers: [45, 54, 87] Generated Node #2: [45, 54, 87] from Operation: 80+7=87 Current State: 78:[45, 54, 87], Operations: ['80+7=87'] Exploring Operation: 54-45=9, Resulting Numbers: [87, 9] Generated Node #3: [87, 9] from Operation: 54-45=9 Current State: 78:[87, 9], Operations: ['80+7=87', '54-45=9'] Exploring Operation: 87-9=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 6, 84, 29, 47 ]
48
[ "84-29=55", "55-47=8", "6*8=48" ]
Current State: 48:[6, 84, 29, 47], Operations: [] Exploring Operation: 84-29=55, Resulting Numbers: [6, 47, 55] Generated Node #2: [6, 47, 55] from Operation: 84-29=55 Current State: 48:[6, 47, 55], Operations: ['84-29=55'] Exploring Operation: 55-47=8, Resulting Numbers: [6, 8] Generated Node #3: [6, 8] from Operation: 55-47=8 Current State: 48:[6, 8], Operations: ['84-29=55', '55-47=8'] Exploring Operation: 6*8=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 65, 36, 36, 55 ]
65
[ "36-36=0", "55*0=0", "65+0=65" ]
Current State: 65:[65, 36, 36, 55], Operations: [] Exploring Operation: 36-36=0, Resulting Numbers: [65, 55, 0] Generated Node #2: [65, 55, 0] from Operation: 36-36=0 Current State: 65:[65, 55, 0], Operations: ['36-36=0'] Exploring Operation: 55*0=0, Resulting Numbers: [65, 0] Generated Node #3: [65, 0] from Operation: 55*0=0 Current State: 65:[65, 0], Operations: ['36-36=0', '55*0=0'] Exploring Operation: 65+0=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 35, 27, 7, 34 ]
35
[ "35+27=62", "34-7=27", "62-27=35" ]
Current State: 35:[35, 27, 7, 34], Operations: [] Exploring Operation: 35+27=62, Resulting Numbers: [7, 34, 62] Generated Node #2: [7, 34, 62] from Operation: 35+27=62 Current State: 35:[7, 34, 62], Operations: ['35+27=62'] Exploring Operation: 34-7=27, Resulting Numbers: [62, 27] Generated Node #3: [62, 27] from Operation: 34-7=27 Current State: 35:[62, 27], Operations: ['35+27=62', '34-7=27'] Exploring Operation: 62-27=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 87, 20, 89, 30 ]
40
[ "89-87=2", "20/2=10", "30+10=40" ]
Current State: 40:[87, 20, 89, 30], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [20, 30, 2] Generated Node #2: [20, 30, 2] from Operation: 89-87=2 Current State: 40:[20, 30, 2], Operations: ['89-87=2'] Exploring Operation: 20/2=10, Resulting Numbers: [30, 10] Generated Node #3: [30, 10] from Operation: 20/2=10 Current State: 40:[30, 10], Operations: ['89-87=2', '20/2=10'] Exploring Operation: 30+10=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 77, 2, 23, 15 ]
12
[ "77-23=54", "54/2=27", "27-15=12" ]
Current State: 12:[77, 2, 23, 15], Operations: [] Exploring Operation: 77-23=54, Resulting Numbers: [2, 15, 54] Generated Node #2: [2, 15, 54] from Operation: 77-23=54 Current State: 12:[2, 15, 54], Operations: ['77-23=54'] Exploring Operation: 54/2=27, Resulting Numbers: [15, 27] Generated Node #3: [15, 27] from Operation: 54/2=27 Current State: 12:[15, 27], Operations: ['77-23=54', '54/2=27'] Exploring Operation: 27-15=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 48, 3, 10, 34 ]
28
[ "48/3=16", "10+34=44", "44-16=28" ]
Current State: 28:[48, 3, 10, 34], Operations: [] Exploring Operation: 48/3=16, Resulting Numbers: [10, 34, 16] Generated Node #2: [10, 34, 16] from Operation: 48/3=16 Current State: 28:[10, 34, 16], Operations: ['48/3=16'] Exploring Operation: 10+34=44, Resulting Numbers: [16, 44] Generated Node #3: [16, 44] from Operation: 10+34=44 Current State: 28:[16, 44], Operations: ['48/3=16', '10+34=44'] Exploring Operation: 44-16=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 64, 28, 40, 4 ]
34
[ "64-40=24", "24/4=6", "28+6=34" ]
Current State: 34:[64, 28, 40, 4], Operations: [] Exploring Operation: 64-40=24, Resulting Numbers: [28, 4, 24] Generated Node #2: [28, 4, 24] from Operation: 64-40=24 Current State: 34:[28, 4, 24], Operations: ['64-40=24'] Exploring Operation: 24/4=6, Resulting Numbers: [28, 6] Generated Node #3: [28, 6] from Operation: 24/4=6 Current State: 34:[28, 6], Operations: ['64-40=24', '24/4=6'] Exploring Operation: 28+6=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 19, 56, 7, 47 ]
77
[ "56-19=37", "47-7=40", "37+40=77" ]
Current State: 77:[19, 56, 7, 47], Operations: [] Exploring Operation: 56-19=37, Resulting Numbers: [7, 47, 37] Generated Node #2: [7, 47, 37] from Operation: 56-19=37 Current State: 77:[7, 47, 37], Operations: ['56-19=37'] Exploring Operation: 47-7=40, Resulting Numbers: [37, 40] Generated Node #3: [37, 40] from Operation: 47-7=40 Current State: 77:[37, 40], Operations: ['56-19=37', '47-7=40'] Exploring Operation: 37+40=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 45, 25, 90, 69 ]
89
[ "45+25=70", "90+69=159", "159-70=89" ]
Current State: 89:[45, 25, 90, 69], Operations: [] Exploring Operation: 45+25=70, Resulting Numbers: [90, 69, 70] Generated Node #2: [90, 69, 70] from Operation: 45+25=70 Current State: 89:[90, 69, 70], Operations: ['45+25=70'] Exploring Operation: 90+69=159, Resulting Numbers: [70, 159] Generated Node #3: [70, 159] from Operation: 90+69=159 Current State: 89:[70, 159], Operations: ['45+25=70', '90+69=159'] Exploring Operation: 159-70=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 56, 49, 71, 99 ]
21
[ "56-49=7", "99-71=28", "28-7=21" ]
Current State: 21:[56, 49, 71, 99], Operations: [] Exploring Operation: 56-49=7, Resulting Numbers: [71, 99, 7] Generated Node #2: [71, 99, 7] from Operation: 56-49=7 Current State: 21:[71, 99, 7], Operations: ['56-49=7'] Exploring Operation: 99-71=28, Resulting Numbers: [7, 28] Generated Node #3: [7, 28] from Operation: 99-71=28 Current State: 21:[7, 28], Operations: ['56-49=7', '99-71=28'] Exploring Operation: 28-7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 76, 80, 76, 49 ]
80
[ "76-76=0", "49*0=0", "80+0=80" ]
Current State: 80:[76, 80, 76, 49], Operations: [] Exploring Operation: 76-76=0, Resulting Numbers: [80, 49, 0] Generated Node #2: [80, 49, 0] from Operation: 76-76=0 Current State: 80:[80, 49, 0], Operations: ['76-76=0'] Exploring Operation: 49*0=0, Resulting Numbers: [80, 0] Generated Node #3: [80, 0] from Operation: 49*0=0 Current State: 80:[80, 0], Operations: ['76-76=0', '49*0=0'] Exploring Operation: 80+0=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 36, 21, 79, 3 ]
66
[ "36+21=57", "79-57=22", "3*22=66" ]
Current State: 66:[36, 21, 79, 3], Operations: [] Exploring Operation: 36+21=57, Resulting Numbers: [79, 3, 57] Generated Node #2: [79, 3, 57] from Operation: 36+21=57 Current State: 66:[79, 3, 57], Operations: ['36+21=57'] Exploring Operation: 79-57=22, Resulting Numbers: [3, 22] Generated Node #3: [3, 22] from Operation: 79-57=22 Current State: 66:[3, 22], Operations: ['36+21=57', '79-57=22'] Exploring Operation: 3*22=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 72, 69, 2, 95 ]
48
[ "72+69=141", "95-2=93", "141-93=48" ]
Current State: 48:[72, 69, 2, 95], Operations: [] Exploring Operation: 72+69=141, Resulting Numbers: [2, 95, 141] Generated Node #2: [2, 95, 141] from Operation: 72+69=141 Current State: 48:[2, 95, 141], Operations: ['72+69=141'] Exploring Operation: 95-2=93, Resulting Numbers: [141, 93] Generated Node #3: [141, 93] from Operation: 95-2=93 Current State: 48:[141, 93], Operations: ['72+69=141', '95-2=93'] Exploring Operation: 141-93=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 6, 18, 4, 86 ]
70
[ "18-6=12", "86-4=82", "82-12=70" ]
Current State: 70:[6, 18, 4, 86], Operations: [] Exploring Operation: 18-6=12, Resulting Numbers: [4, 86, 12] Generated Node #2: [4, 86, 12] from Operation: 18-6=12 Current State: 70:[4, 86, 12], Operations: ['18-6=12'] Exploring Operation: 86-4=82, Resulting Numbers: [12, 82] Generated Node #3: [12, 82] from Operation: 86-4=82 Current State: 70:[12, 82], Operations: ['18-6=12', '86-4=82'] Exploring Operation: 82-12=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 50, 51, 3, 43 ]
86
[ "51-50=1", "3-1=2", "43*2=86" ]
Current State: 86:[50, 51, 3, 43], Operations: [] Exploring Operation: 51-50=1, Resulting Numbers: [3, 43, 1] Generated Node #2: [3, 43, 1] from Operation: 51-50=1 Current State: 86:[3, 43, 1], Operations: ['51-50=1'] Exploring Operation: 3-1=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 3-1=2 Current State: 86:[43, 2], Operations: ['51-50=1', '3-1=2'] Exploring Operation: 43*2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 37, 77, 18, 62 ]
34
[ "37+77=114", "18+62=80", "114-80=34" ]
Current State: 34:[37, 77, 18, 62], Operations: [] Exploring Operation: 37+77=114, Resulting Numbers: [18, 62, 114] Generated Node #2: [18, 62, 114] from Operation: 37+77=114 Current State: 34:[18, 62, 114], Operations: ['37+77=114'] Exploring Operation: 18+62=80, Resulting Numbers: [114, 80] Generated Node #3: [114, 80] from Operation: 18+62=80 Current State: 34:[114, 80], Operations: ['37+77=114', '18+62=80'] Exploring Operation: 114-80=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 43, 16, 44, 14 ]
46
[ "43*16=688", "688-44=644", "644/14=46" ]
Current State: 46:[43, 16, 44, 14], Operations: [] Exploring Operation: 43*16=688, Resulting Numbers: [44, 14, 688] Generated Node #2: [44, 14, 688] from Operation: 43*16=688 Current State: 46:[44, 14, 688], Operations: ['43*16=688'] Exploring Operation: 688-44=644, Resulting Numbers: [14, 644] Generated Node #3: [14, 644] from Operation: 688-44=644 Current State: 46:[14, 644], Operations: ['43*16=688', '688-44=644'] Exploring Operation: 644/14=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 27, 4, 66, 74 ]
15
[ "27-4=23", "74-66=8", "23-8=15" ]
Current State: 15:[27, 4, 66, 74], Operations: [] Exploring Operation: 27-4=23, Resulting Numbers: [66, 74, 23] Generated Node #2: [66, 74, 23] from Operation: 27-4=23 Current State: 15:[66, 74, 23], Operations: ['27-4=23'] Exploring Operation: 74-66=8, Resulting Numbers: [23, 8] Generated Node #3: [23, 8] from Operation: 74-66=8 Current State: 15:[23, 8], Operations: ['27-4=23', '74-66=8'] Exploring Operation: 23-8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 3, 63, 90, 29 ]
53
[ "3+63=66", "90+29=119", "119-66=53" ]
Current State: 53:[3, 63, 90, 29], Operations: [] Exploring Operation: 3+63=66, Resulting Numbers: [90, 29, 66] Generated Node #2: [90, 29, 66] from Operation: 3+63=66 Current State: 53:[90, 29, 66], Operations: ['3+63=66'] Exploring Operation: 90+29=119, Resulting Numbers: [66, 119] Generated Node #3: [66, 119] from Operation: 90+29=119 Current State: 53:[66, 119], Operations: ['3+63=66', '90+29=119'] Exploring Operation: 119-66=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 3, 9, 31, 2 ]
74
[ "3+9=12", "31*2=62", "12+62=74" ]
Current State: 74:[3, 9, 31, 2], Operations: [] Exploring Operation: 3+9=12, Resulting Numbers: [31, 2, 12] Generated Node #2: [31, 2, 12] from Operation: 3+9=12 Current State: 74:[31, 2, 12], Operations: ['3+9=12'] Exploring Operation: 31*2=62, Resulting Numbers: [12, 62] Generated Node #3: [12, 62] from Operation: 31*2=62 Current State: 74:[12, 62], Operations: ['3+9=12', '31*2=62'] Exploring Operation: 12+62=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 34, 65, 88, 9 ]
66
[ "65-34=31", "88+9=97", "97-31=66" ]
Current State: 66:[34, 65, 88, 9], Operations: [] Exploring Operation: 65-34=31, Resulting Numbers: [88, 9, 31] Generated Node #2: [88, 9, 31] from Operation: 65-34=31 Current State: 66:[88, 9, 31], Operations: ['65-34=31'] Exploring Operation: 88+9=97, Resulting Numbers: [31, 97] Generated Node #3: [31, 97] from Operation: 88+9=97 Current State: 66:[31, 97], Operations: ['65-34=31', '88+9=97'] Exploring Operation: 97-31=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 4, 13, 87, 46 ]
71
[ "13+87=100", "100/4=25", "46+25=71" ]
Current State: 71:[4, 13, 87, 46], Operations: [] Exploring Operation: 13+87=100, Resulting Numbers: [4, 46, 100] Generated Node #2: [4, 46, 100] from Operation: 13+87=100 Current State: 71:[4, 46, 100], Operations: ['13+87=100'] Exploring Operation: 100/4=25, Resulting Numbers: [46, 25] Generated Node #3: [46, 25] from Operation: 100/4=25 Current State: 71:[46, 25], Operations: ['13+87=100', '100/4=25'] Exploring Operation: 46+25=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 96, 35, 58, 3 ]
43
[ "96+35=131", "58*3=174", "174-131=43" ]
Current State: 43:[96, 35, 58, 3], Operations: [] Exploring Operation: 96+35=131, Resulting Numbers: [58, 3, 131] Generated Node #2: [58, 3, 131] from Operation: 96+35=131 Current State: 43:[58, 3, 131], Operations: ['96+35=131'] Exploring Operation: 58*3=174, Resulting Numbers: [131, 174] Generated Node #3: [131, 174] from Operation: 58*3=174 Current State: 43:[131, 174], Operations: ['96+35=131', '58*3=174'] Exploring Operation: 174-131=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 90, 56, 82, 25 ]
89
[ "90+56=146", "82-25=57", "146-57=89" ]
Current State: 89:[90, 56, 82, 25], Operations: [] Exploring Operation: 90+56=146, Resulting Numbers: [82, 25, 146] Generated Node #2: [82, 25, 146] from Operation: 90+56=146 Current State: 89:[82, 25, 146], Operations: ['90+56=146'] Exploring Operation: 82-25=57, Resulting Numbers: [146, 57] Generated Node #3: [146, 57] from Operation: 82-25=57 Current State: 89:[146, 57], Operations: ['90+56=146', '82-25=57'] Exploring Operation: 146-57=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 90, 9, 11, 85 ]
15
[ "90-9=81", "11+85=96", "96-81=15" ]
Current State: 15:[90, 9, 11, 85], Operations: [] Exploring Operation: 90-9=81, Resulting Numbers: [11, 85, 81] Generated Node #2: [11, 85, 81] from Operation: 90-9=81 Current State: 15:[11, 85, 81], Operations: ['90-9=81'] Exploring Operation: 11+85=96, Resulting Numbers: [81, 96] Generated Node #3: [81, 96] from Operation: 11+85=96 Current State: 15:[81, 96], Operations: ['90-9=81', '11+85=96'] Exploring Operation: 96-81=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 62, 76, 27, 53 ]
66
[ "76-62=14", "27+53=80", "80-14=66" ]
Current State: 66:[62, 76, 27, 53], Operations: [] Exploring Operation: 76-62=14, Resulting Numbers: [27, 53, 14] Generated Node #2: [27, 53, 14] from Operation: 76-62=14 Current State: 66:[27, 53, 14], Operations: ['76-62=14'] Exploring Operation: 27+53=80, Resulting Numbers: [14, 80] Generated Node #3: [14, 80] from Operation: 27+53=80 Current State: 66:[14, 80], Operations: ['76-62=14', '27+53=80'] Exploring Operation: 80-14=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 18, 80, 58, 36 ]
24
[ "36/18=2", "80-58=22", "2+22=24" ]
Current State: 24:[18, 80, 58, 36], Operations: [] Exploring Operation: 36/18=2, Resulting Numbers: [80, 58, 2] Generated Node #2: [80, 58, 2] from Operation: 36/18=2 Current State: 24:[80, 58, 2], Operations: ['36/18=2'] Exploring Operation: 80-58=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 80-58=22 Current State: 24:[2, 22], Operations: ['36/18=2', '80-58=22'] Exploring Operation: 2+22=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 35, 36, 21, 32 ]
12
[ "36-35=1", "32-21=11", "1+11=12" ]
Current State: 12:[35, 36, 21, 32], Operations: [] Exploring Operation: 36-35=1, Resulting Numbers: [21, 32, 1] Generated Node #2: [21, 32, 1] from Operation: 36-35=1 Current State: 12:[21, 32, 1], Operations: ['36-35=1'] Exploring Operation: 32-21=11, Resulting Numbers: [1, 11] Generated Node #3: [1, 11] from Operation: 32-21=11 Current State: 12:[1, 11], Operations: ['36-35=1', '32-21=11'] Exploring Operation: 1+11=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 37, 73, 43, 89 ]
27
[ "43-37=6", "73+89=162", "162/6=27" ]
Current State: 27:[37, 73, 43, 89], Operations: [] Exploring Operation: 43-37=6, Resulting Numbers: [73, 89, 6] Generated Node #2: [73, 89, 6] from Operation: 43-37=6 Current State: 27:[73, 89, 6], Operations: ['43-37=6'] Exploring Operation: 73+89=162, Resulting Numbers: [6, 162] Generated Node #3: [6, 162] from Operation: 73+89=162 Current State: 27:[6, 162], Operations: ['43-37=6', '73+89=162'] Exploring Operation: 162/6=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 26, 31, 19, 47 ]
57
[ "31+47=78", "78/26=3", "19*3=57" ]
Current State: 57:[26, 31, 19, 47], Operations: [] Exploring Operation: 31+47=78, Resulting Numbers: [26, 19, 78] Generated Node #2: [26, 19, 78] from Operation: 31+47=78 Current State: 57:[26, 19, 78], Operations: ['31+47=78'] Exploring Operation: 78/26=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 78/26=3 Current State: 57:[19, 3], Operations: ['31+47=78', '78/26=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 8, 97, 16, 16 ]
89
[ "97-8=89", "16-16=0", "89+0=89" ]
Current State: 89:[8, 97, 16, 16], Operations: [] Exploring Operation: 97-8=89, Resulting Numbers: [16, 16, 89] Generated Node #2: [16, 16, 89] from Operation: 97-8=89 Current State: 89:[16, 16, 89], Operations: ['97-8=89'] Exploring Operation: 16-16=0, Resulting Numbers: [89, 0] Generated Node #3: [89, 0] from Operation: 16-16=0 Current State: 89:[89, 0], Operations: ['97-8=89', '16-16=0'] Exploring Operation: 89+0=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 18, 30, 34, 26 ]
20
[ "30-18=12", "34-26=8", "12+8=20" ]
Current State: 20:[18, 30, 34, 26], Operations: [] Exploring Operation: 30-18=12, Resulting Numbers: [34, 26, 12] Generated Node #2: [34, 26, 12] from Operation: 30-18=12 Current State: 20:[34, 26, 12], Operations: ['30-18=12'] Exploring Operation: 34-26=8, Resulting Numbers: [12, 8] Generated Node #3: [12, 8] from Operation: 34-26=8 Current State: 20:[12, 8], Operations: ['30-18=12', '34-26=8'] Exploring Operation: 12+8=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 8, 37, 32, 84 ]
64
[ "32/8=4", "37*4=148", "148-84=64" ]
Current State: 64:[8, 37, 32, 84], Operations: [] Exploring Operation: 32/8=4, Resulting Numbers: [37, 84, 4] Generated Node #2: [37, 84, 4] from Operation: 32/8=4 Current State: 64:[37, 84, 4], Operations: ['32/8=4'] Exploring Operation: 37*4=148, Resulting Numbers: [84, 148] Generated Node #3: [84, 148] from Operation: 37*4=148 Current State: 64:[84, 148], Operations: ['32/8=4', '37*4=148'] Exploring Operation: 148-84=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 47, 42, 17, 94 ]
76
[ "94/47=2", "17*2=34", "42+34=76" ]
Current State: 76:[47, 42, 17, 94], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [42, 17, 2] Generated Node #2: [42, 17, 2] from Operation: 94/47=2 Current State: 76:[42, 17, 2], Operations: ['94/47=2'] Exploring Operation: 17*2=34, Resulting Numbers: [42, 34] Generated Node #3: [42, 34] from Operation: 17*2=34 Current State: 76:[42, 34], Operations: ['94/47=2', '17*2=34'] Exploring Operation: 42+34=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 43, 28, 9, 43 ]
67
[ "43-28=15", "9+43=52", "15+52=67" ]
Current State: 67:[43, 28, 9, 43], Operations: [] Exploring Operation: 43-28=15, Resulting Numbers: [9, 15] Generated Node #2: [9, 15] from Operation: 43-28=15 Current State: 67:[9, 15], Operations: ['43-28=15'] Exploring Operation: 9+43=52, Resulting Numbers: [15, 52] Generated Node #3: [15, 52] from Operation: 9+43=52 Current State: 67:[15, 52], Operations: ['43-28=15', '9+43=52'] Exploring Operation: 15+52=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 83, 9, 94, 73 ]
94
[ "83-9=74", "74-73=1", "94*1=94" ]
Current State: 94:[83, 9, 94, 73], Operations: [] Exploring Operation: 83-9=74, Resulting Numbers: [94, 73, 74] Generated Node #2: [94, 73, 74] from Operation: 83-9=74 Current State: 94:[94, 73, 74], Operations: ['83-9=74'] Exploring Operation: 74-73=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 74-73=1 Current State: 94:[94, 1], Operations: ['83-9=74', '74-73=1'] Exploring Operation: 94*1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 62, 11, 79, 4 ]
85
[ "62+4=66", "66/11=6", "79+6=85" ]
Current State: 85:[62, 11, 79, 4], Operations: [] Exploring Operation: 62+4=66, Resulting Numbers: [11, 79, 66] Generated Node #2: [11, 79, 66] from Operation: 62+4=66 Current State: 85:[11, 79, 66], Operations: ['62+4=66'] Exploring Operation: 66/11=6, Resulting Numbers: [79, 6] Generated Node #3: [79, 6] from Operation: 66/11=6 Current State: 85:[79, 6], Operations: ['62+4=66', '66/11=6'] Exploring Operation: 79+6=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 37, 29, 91, 43 ]
18
[ "37+29=66", "91-43=48", "66-48=18" ]
Current State: 18:[37, 29, 91, 43], Operations: [] Exploring Operation: 37+29=66, Resulting Numbers: [91, 43, 66] Generated Node #2: [91, 43, 66] from Operation: 37+29=66 Current State: 18:[91, 43, 66], Operations: ['37+29=66'] Exploring Operation: 91-43=48, Resulting Numbers: [66, 48] Generated Node #3: [66, 48] from Operation: 91-43=48 Current State: 18:[66, 48], Operations: ['37+29=66', '91-43=48'] Exploring Operation: 66-48=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 55, 40, 8, 60 ]
80
[ "60-55=5", "8*5=40", "40+40=80" ]
Current State: 80:[55, 40, 8, 60], Operations: [] Exploring Operation: 60-55=5, Resulting Numbers: [40, 8, 5] Generated Node #2: [40, 8, 5] from Operation: 60-55=5 Current State: 80:[40, 8, 5], Operations: ['60-55=5'] Exploring Operation: 8*5=40, Resulting Numbers: [40, 40] Generated Node #3: [40, 40] from Operation: 8*5=40 Current State: 80:[40, 40], Operations: ['60-55=5', '8*5=40'] Exploring Operation: 40+40=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 60, 33, 84, 84 ]
27
[ "60-33=27", "84-84=0", "27+0=27" ]
Current State: 27:[60, 33, 84, 84], Operations: [] Exploring Operation: 60-33=27, Resulting Numbers: [84, 84, 27] Generated Node #2: [84, 84, 27] from Operation: 60-33=27 Current State: 27:[84, 84, 27], Operations: ['60-33=27'] Exploring Operation: 84-84=0, Resulting Numbers: [27, 0] Generated Node #3: [27, 0] from Operation: 84-84=0 Current State: 27:[27, 0], Operations: ['60-33=27', '84-84=0'] Exploring Operation: 27+0=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 66, 39, 29, 93 ]
17
[ "66+39=105", "29+93=122", "122-105=17" ]
Current State: 17:[66, 39, 29, 93], Operations: [] Exploring Operation: 66+39=105, Resulting Numbers: [29, 93, 105] Generated Node #2: [29, 93, 105] from Operation: 66+39=105 Current State: 17:[29, 93, 105], Operations: ['66+39=105'] Exploring Operation: 29+93=122, Resulting Numbers: [105, 122] Generated Node #3: [105, 122] from Operation: 29+93=122 Current State: 17:[105, 122], Operations: ['66+39=105', '29+93=122'] Exploring Operation: 122-105=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 58, 2, 63, 14 ]
82
[ "58-14=44", "2*63=126", "126-44=82" ]
Current State: 82:[58, 2, 63, 14], Operations: [] Exploring Operation: 58-14=44, Resulting Numbers: [2, 63, 44] Generated Node #2: [2, 63, 44] from Operation: 58-14=44 Current State: 82:[2, 63, 44], Operations: ['58-14=44'] Exploring Operation: 2*63=126, Resulting Numbers: [44, 126] Generated Node #3: [44, 126] from Operation: 2*63=126 Current State: 82:[44, 126], Operations: ['58-14=44', '2*63=126'] Exploring Operation: 126-44=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 36, 88, 24, 88 ]
11
[ "36-24=12", "88/88=1", "12-1=11" ]
Current State: 11:[36, 88, 24, 88], Operations: [] Exploring Operation: 36-24=12, Resulting Numbers: [88, 88, 12] Generated Node #2: [88, 88, 12] from Operation: 36-24=12 Current State: 11:[88, 88, 12], Operations: ['36-24=12'] Exploring Operation: 88/88=1, Resulting Numbers: [12, 1] Generated Node #3: [12, 1] from Operation: 88/88=1 Current State: 11:[12, 1], Operations: ['36-24=12', '88/88=1'] Exploring Operation: 12-1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 10, 8, 1, 45 ]
25
[ "8-1=7", "10*7=70", "70-45=25" ]
Current State: 25:[10, 8, 1, 45], Operations: [] Exploring Operation: 8-1=7, Resulting Numbers: [10, 45, 7] Generated Node #2: [10, 45, 7] from Operation: 8-1=7 Current State: 25:[10, 45, 7], Operations: ['8-1=7'] Exploring Operation: 10*7=70, Resulting Numbers: [45, 70] Generated Node #3: [45, 70] from Operation: 10*7=70 Current State: 25:[45, 70], Operations: ['8-1=7', '10*7=70'] Exploring Operation: 70-45=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 3, 94, 63, 92 ]
63
[ "94-3=91", "92-91=1", "63*1=63" ]
Current State: 63:[3, 94, 63, 92], Operations: [] Exploring Operation: 94-3=91, Resulting Numbers: [63, 92, 91] Generated Node #2: [63, 92, 91] from Operation: 94-3=91 Current State: 63:[63, 92, 91], Operations: ['94-3=91'] Exploring Operation: 92-91=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 92-91=1 Current State: 63:[63, 1], Operations: ['94-3=91', '92-91=1'] Exploring Operation: 63*1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 81, 5, 4, 52 ]
32
[ "81-5=76", "52+76=128", "128/4=32" ]
Current State: 32:[81, 5, 4, 52], Operations: [] Exploring Operation: 81-5=76, Resulting Numbers: [4, 52, 76] Generated Node #2: [4, 52, 76] from Operation: 81-5=76 Current State: 32:[4, 52, 76], Operations: ['81-5=76'] Exploring Operation: 52+76=128, Resulting Numbers: [4, 128] Generated Node #3: [4, 128] from Operation: 52+76=128 Current State: 32:[4, 128], Operations: ['81-5=76', '52+76=128'] Exploring Operation: 128/4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 56, 23, 92, 96 ]
38
[ "56+96=152", "92/23=4", "152/4=38" ]
Current State: 38:[56, 23, 92, 96], Operations: [] Exploring Operation: 56+96=152, Resulting Numbers: [23, 92, 152] Generated Node #2: [23, 92, 152] from Operation: 56+96=152 Current State: 38:[23, 92, 152], Operations: ['56+96=152'] Exploring Operation: 92/23=4, Resulting Numbers: [152, 4] Generated Node #3: [152, 4] from Operation: 92/23=4 Current State: 38:[152, 4], Operations: ['56+96=152', '92/23=4'] Exploring Operation: 152/4=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 62, 2, 37, 83 ]
56
[ "62+2=64", "37+83=120", "120-64=56" ]
Current State: 56:[62, 2, 37, 83], Operations: [] Exploring Operation: 62+2=64, Resulting Numbers: [37, 83, 64] Generated Node #2: [37, 83, 64] from Operation: 62+2=64 Current State: 56:[37, 83, 64], Operations: ['62+2=64'] Exploring Operation: 37+83=120, Resulting Numbers: [64, 120] Generated Node #3: [64, 120] from Operation: 37+83=120 Current State: 56:[64, 120], Operations: ['62+2=64', '37+83=120'] Exploring Operation: 120-64=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 22, 90, 36, 27 ]
82
[ "22*90=1980", "1980/36=55", "27+55=82" ]
Current State: 82:[22, 90, 36, 27], Operations: [] Exploring Operation: 22*90=1980, Resulting Numbers: [36, 27, 1980] Generated Node #2: [36, 27, 1980] from Operation: 22*90=1980 Current State: 82:[36, 27, 1980], Operations: ['22*90=1980'] Exploring Operation: 1980/36=55, Resulting Numbers: [27, 55] Generated Node #3: [27, 55] from Operation: 1980/36=55 Current State: 82:[27, 55], Operations: ['22*90=1980', '1980/36=55'] Exploring Operation: 27+55=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 36, 1, 44, 15 ]
24
[ "36-1=35", "44+15=59", "59-35=24" ]
Current State: 24:[36, 1, 44, 15], Operations: [] Exploring Operation: 36-1=35, Resulting Numbers: [44, 15, 35] Generated Node #2: [44, 15, 35] from Operation: 36-1=35 Current State: 24:[44, 15, 35], Operations: ['36-1=35'] Exploring Operation: 44+15=59, Resulting Numbers: [35, 59] Generated Node #3: [35, 59] from Operation: 44+15=59 Current State: 24:[35, 59], Operations: ['36-1=35', '44+15=59'] Exploring Operation: 59-35=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 44, 3, 30, 37 ]
34
[ "44-3=41", "37-30=7", "41-7=34" ]
Current State: 34:[44, 3, 30, 37], Operations: [] Exploring Operation: 44-3=41, Resulting Numbers: [30, 37, 41] Generated Node #2: [30, 37, 41] from Operation: 44-3=41 Current State: 34:[30, 37, 41], Operations: ['44-3=41'] Exploring Operation: 37-30=7, Resulting Numbers: [41, 7] Generated Node #3: [41, 7] from Operation: 37-30=7 Current State: 34:[41, 7], Operations: ['44-3=41', '37-30=7'] Exploring Operation: 41-7=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 73, 28, 73, 57 ]
86
[ "73/73=1", "28+57=85", "1+85=86" ]
Current State: 86:[73, 28, 73, 57], Operations: [] Exploring Operation: 73/73=1, Resulting Numbers: [28, 57, 1] Generated Node #2: [28, 57, 1] from Operation: 73/73=1 Current State: 86:[28, 57, 1], Operations: ['73/73=1'] Exploring Operation: 28+57=85, Resulting Numbers: [1, 85] Generated Node #3: [1, 85] from Operation: 28+57=85 Current State: 86:[1, 85], Operations: ['73/73=1', '28+57=85'] Exploring Operation: 1+85=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 52, 7, 92, 72 ]
39
[ "52+7=59", "92-72=20", "59-20=39" ]
Current State: 39:[52, 7, 92, 72], Operations: [] Exploring Operation: 52+7=59, Resulting Numbers: [92, 72, 59] Generated Node #2: [92, 72, 59] from Operation: 52+7=59 Current State: 39:[92, 72, 59], Operations: ['52+7=59'] Exploring Operation: 92-72=20, Resulting Numbers: [59, 20] Generated Node #3: [59, 20] from Operation: 92-72=20 Current State: 39:[59, 20], Operations: ['52+7=59', '92-72=20'] Exploring Operation: 59-20=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 10, 64, 10, 7 ]
64
[ "10-10=0", "7*0=0", "64+0=64" ]
Current State: 64:[10, 64, 10, 7], Operations: [] Exploring Operation: 10-10=0, Resulting Numbers: [64, 7, 0] Generated Node #2: [64, 7, 0] from Operation: 10-10=0 Current State: 64:[64, 7, 0], Operations: ['10-10=0'] Exploring Operation: 7*0=0, Resulting Numbers: [64, 0] Generated Node #3: [64, 0] from Operation: 7*0=0 Current State: 64:[64, 0], Operations: ['10-10=0', '7*0=0'] Exploring Operation: 64+0=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 51, 29, 4, 67 ]
41
[ "51-29=22", "67-4=63", "63-22=41" ]
Current State: 41:[51, 29, 4, 67], Operations: [] Exploring Operation: 51-29=22, Resulting Numbers: [4, 67, 22] Generated Node #2: [4, 67, 22] from Operation: 51-29=22 Current State: 41:[4, 67, 22], Operations: ['51-29=22'] Exploring Operation: 67-4=63, Resulting Numbers: [22, 63] Generated Node #3: [22, 63] from Operation: 67-4=63 Current State: 41:[22, 63], Operations: ['51-29=22', '67-4=63'] Exploring Operation: 63-22=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 84, 72, 96, 91 ]
56
[ "84+72=156", "96*91=8736", "8736/156=56" ]
Current State: 56:[84, 72, 96, 91], Operations: [] Exploring Operation: 84+72=156, Resulting Numbers: [96, 91, 156] Generated Node #2: [96, 91, 156] from Operation: 84+72=156 Current State: 56:[96, 91, 156], Operations: ['84+72=156'] Exploring Operation: 96*91=8736, Resulting Numbers: [156, 8736] Generated Node #3: [156, 8736] from Operation: 96*91=8736 Current State: 56:[156, 8736], Operations: ['84+72=156', '96*91=8736'] Exploring Operation: 8736/156=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 69, 66, 66, 79 ]
39
[ "69-66=3", "79-66=13", "3*13=39" ]
Current State: 39:[69, 66, 66, 79], Operations: [] Exploring Operation: 69-66=3, Resulting Numbers: [79, 3] Generated Node #2: [79, 3] from Operation: 69-66=3 Current State: 39:[79, 3], Operations: ['69-66=3'] Exploring Operation: 79-66=13, Resulting Numbers: [3, 13] Generated Node #3: [3, 13] from Operation: 79-66=13 Current State: 39:[3, 13], Operations: ['69-66=3', '79-66=13'] Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 1, 8, 4, 17 ]
32
[ "1+8=9", "17-9=8", "4*8=32" ]
Current State: 32:[1, 8, 4, 17], Operations: [] Exploring Operation: 1+8=9, Resulting Numbers: [4, 17, 9] Generated Node #2: [4, 17, 9] from Operation: 1+8=9 Current State: 32:[4, 17, 9], Operations: ['1+8=9'] Exploring Operation: 17-9=8, Resulting Numbers: [4, 8] Generated Node #3: [4, 8] from Operation: 17-9=8 Current State: 32:[4, 8], Operations: ['1+8=9', '17-9=8'] Exploring Operation: 4*8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 93, 28, 14, 31 ]
60
[ "93-31=62", "28/14=2", "62-2=60" ]
Current State: 60:[93, 28, 14, 31], Operations: [] Exploring Operation: 93-31=62, Resulting Numbers: [28, 14, 62] Generated Node #2: [28, 14, 62] from Operation: 93-31=62 Current State: 60:[28, 14, 62], Operations: ['93-31=62'] Exploring Operation: 28/14=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 28/14=2 Current State: 60:[62, 2], Operations: ['93-31=62', '28/14=2'] Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 74, 56, 24, 70 ]
38
[ "74-70=4", "56/4=14", "24+14=38" ]
Current State: 38:[74, 56, 24, 70], Operations: [] Exploring Operation: 74-70=4, Resulting Numbers: [56, 24, 4] Generated Node #2: [56, 24, 4] from Operation: 74-70=4 Current State: 38:[56, 24, 4], Operations: ['74-70=4'] Exploring Operation: 56/4=14, Resulting Numbers: [24, 14] Generated Node #3: [24, 14] from Operation: 56/4=14 Current State: 38:[24, 14], Operations: ['74-70=4', '56/4=14'] Exploring Operation: 24+14=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 59, 62, 31, 30 ]
21
[ "62-59=3", "30/3=10", "31-10=21" ]
Current State: 21:[59, 62, 31, 30], Operations: [] Exploring Operation: 62-59=3, Resulting Numbers: [31, 30, 3] Generated Node #2: [31, 30, 3] from Operation: 62-59=3 Current State: 21:[31, 30, 3], Operations: ['62-59=3'] Exploring Operation: 30/3=10, Resulting Numbers: [31, 10] Generated Node #3: [31, 10] from Operation: 30/3=10 Current State: 21:[31, 10], Operations: ['62-59=3', '30/3=10'] Exploring Operation: 31-10=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 30, 27, 53, 3 ]
59
[ "30-27=3", "53+3=56", "3+56=59" ]
Current State: 59:[30, 27, 53, 3], Operations: [] Exploring Operation: 30-27=3, Resulting Numbers: [53, 3, 3] Generated Node #2: [53, 3, 3] from Operation: 30-27=3 Current State: 59:[53, 3, 3], Operations: ['30-27=3'] Exploring Operation: 53+3=56, Resulting Numbers: [56] 56,59 equal: Goal Reached Exploring Operation: 3+56=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 26, 13, 80, 57 ]
46
[ "26/13=2", "80-57=23", "2*23=46" ]
Current State: 46:[26, 13, 80, 57], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [80, 57, 2] Generated Node #2: [80, 57, 2] from Operation: 26/13=2 Current State: 46:[80, 57, 2], Operations: ['26/13=2'] Exploring Operation: 80-57=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 80-57=23 Current State: 46:[2, 23], Operations: ['26/13=2', '80-57=23'] Exploring Operation: 2*23=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 6, 95, 69, 11 ]
43
[ "6+95=101", "69-11=58", "101-58=43" ]
Current State: 43:[6, 95, 69, 11], Operations: [] Exploring Operation: 6+95=101, Resulting Numbers: [69, 11, 101] Generated Node #2: [69, 11, 101] from Operation: 6+95=101 Current State: 43:[69, 11, 101], Operations: ['6+95=101'] Exploring Operation: 69-11=58, Resulting Numbers: [101, 58] Generated Node #3: [101, 58] from Operation: 69-11=58 Current State: 43:[101, 58], Operations: ['6+95=101', '69-11=58'] Exploring Operation: 101-58=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 47, 44, 42, 66 ]
21
[ "47-44=3", "66-42=24", "24-3=21" ]
Current State: 21:[47, 44, 42, 66], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [42, 66, 3] Generated Node #2: [42, 66, 3] from Operation: 47-44=3 Current State: 21:[42, 66, 3], Operations: ['47-44=3'] Exploring Operation: 66-42=24, Resulting Numbers: [3, 24] Generated Node #3: [3, 24] from Operation: 66-42=24 Current State: 21:[3, 24], Operations: ['47-44=3', '66-42=24'] Exploring Operation: 24-3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 59, 4, 36, 71 ]
44
[ "59+4=63", "36+71=107", "107-63=44" ]
Current State: 44:[59, 4, 36, 71], Operations: [] Exploring Operation: 59+4=63, Resulting Numbers: [36, 71, 63] Generated Node #2: [36, 71, 63] from Operation: 59+4=63 Current State: 44:[36, 71, 63], Operations: ['59+4=63'] Exploring Operation: 36+71=107, Resulting Numbers: [63, 107] Generated Node #3: [63, 107] from Operation: 36+71=107 Current State: 44:[63, 107], Operations: ['59+4=63', '36+71=107'] Exploring Operation: 107-63=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 72, 18, 41, 41 ]
89
[ "72+18=90", "41/41=1", "90-1=89" ]
Current State: 89:[72, 18, 41, 41], Operations: [] Exploring Operation: 72+18=90, Resulting Numbers: [41, 41, 90] Generated Node #2: [41, 41, 90] from Operation: 72+18=90 Current State: 89:[41, 41, 90], Operations: ['72+18=90'] Exploring Operation: 41/41=1, Resulting Numbers: [90, 1] Generated Node #3: [90, 1] from Operation: 41/41=1 Current State: 89:[90, 1], Operations: ['72+18=90', '41/41=1'] Exploring Operation: 90-1=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 95, 48, 98, 43 ]
79
[ "48-43=5", "95/5=19", "98-19=79" ]
Current State: 79:[95, 48, 98, 43], Operations: [] Exploring Operation: 48-43=5, Resulting Numbers: [95, 98, 5] Generated Node #2: [95, 98, 5] from Operation: 48-43=5 Current State: 79:[95, 98, 5], Operations: ['48-43=5'] Exploring Operation: 95/5=19, Resulting Numbers: [98, 19] Generated Node #3: [98, 19] from Operation: 95/5=19 Current State: 79:[98, 19], Operations: ['48-43=5', '95/5=19'] Exploring Operation: 98-19=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 46, 91, 79, 47 ]
81
[ "91-46=45", "79+47=126", "126-45=81" ]
Current State: 81:[46, 91, 79, 47], Operations: [] Exploring Operation: 91-46=45, Resulting Numbers: [79, 47, 45] Generated Node #2: [79, 47, 45] from Operation: 91-46=45 Current State: 81:[79, 47, 45], Operations: ['91-46=45'] Exploring Operation: 79+47=126, Resulting Numbers: [45, 126] Generated Node #3: [45, 126] from Operation: 79+47=126 Current State: 81:[45, 126], Operations: ['91-46=45', '79+47=126'] Exploring Operation: 126-45=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 96, 95, 30, 2 ]
28
[ "96-95=1", "30-2=28", "1*28=28" ]
Current State: 28:[96, 95, 30, 2], Operations: [] Exploring Operation: 96-95=1, Resulting Numbers: [30, 2, 1] Generated Node #2: [30, 2, 1] from Operation: 96-95=1 Current State: 28:[30, 2, 1], Operations: ['96-95=1'] Exploring Operation: 30-2=28, Resulting Numbers: [1, 28] Generated Node #3: [1, 28] from Operation: 30-2=28 Current State: 28:[1, 28], Operations: ['96-95=1', '30-2=28'] Exploring Operation: 1*28=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 62, 10, 4, 96 ]
96
[ "62+10=72", "96/4=24", "72+24=96" ]
Current State: 96:[62, 10, 4, 96], Operations: [] Exploring Operation: 62+10=72, Resulting Numbers: [4, 96, 72] Generated Node #2: [4, 96, 72] from Operation: 62+10=72 Current State: 96:[4, 96, 72], Operations: ['62+10=72'] Exploring Operation: 96/4=24, Resulting Numbers: [72, 24] Generated Node #3: [72, 24] from Operation: 96/4=24 Current State: 96:[72, 24], Operations: ['62+10=72', '96/4=24'] Exploring Operation: 72+24=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 12, 90, 3, 72 ]
72
[ "12/3=4", "90-72=18", "4*18=72" ]
Current State: 72:[12, 90, 3, 72], Operations: [] Exploring Operation: 12/3=4, Resulting Numbers: [90, 72, 4] Generated Node #2: [90, 72, 4] from Operation: 12/3=4 Current State: 72:[90, 72, 4], Operations: ['12/3=4'] Exploring Operation: 90-72=18, Resulting Numbers: [4, 18] Generated Node #3: [4, 18] from Operation: 90-72=18 Current State: 72:[4, 18], Operations: ['12/3=4', '90-72=18'] Exploring Operation: 4*18=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 37, 43, 6, 11 ]
47
[ "43-37=6", "6*6=36", "11+36=47" ]
Current State: 47:[37, 43, 6, 11], Operations: [] Exploring Operation: 43-37=6, Resulting Numbers: [6, 11, 6] Generated Node #2: [6, 11, 6] from Operation: 43-37=6 Current State: 47:[6, 11, 6], Operations: ['43-37=6'] Exploring Operation: 6*6=36, Resulting Numbers: [11, 36] Generated Node #3: [11, 36] from Operation: 6*6=36 Current State: 47:[11, 36], Operations: ['43-37=6', '6*6=36'] Exploring Operation: 11+36=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 42, 58, 19, 62 ]
59
[ "58-42=16", "62-19=43", "16+43=59" ]
Current State: 59:[42, 58, 19, 62], Operations: [] Exploring Operation: 58-42=16, Resulting Numbers: [19, 62, 16] Generated Node #2: [19, 62, 16] from Operation: 58-42=16 Current State: 59:[19, 62, 16], Operations: ['58-42=16'] Exploring Operation: 62-19=43, Resulting Numbers: [16, 43] Generated Node #3: [16, 43] from Operation: 62-19=43 Current State: 59:[16, 43], Operations: ['58-42=16', '62-19=43'] Exploring Operation: 16+43=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 5, 16, 94, 16 ]
94
[ "16-16=0", "5*0=0", "94+0=94" ]
Current State: 94:[5, 16, 94, 16], Operations: [] Exploring Operation: 16-16=0, Resulting Numbers: [5, 94, 0] Generated Node #2: [5, 94, 0] from Operation: 16-16=0 Current State: 94:[5, 94, 0], Operations: ['16-16=0'] Exploring Operation: 5*0=0, Resulting Numbers: [94, 0] Generated Node #3: [94, 0] from Operation: 5*0=0 Current State: 94:[94, 0], Operations: ['16-16=0', '5*0=0'] Exploring Operation: 94+0=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4