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
[ 59, 4, 56, 60 ]
75
[ "60-56=4", "4*4=16", "59+16=75" ]
Current State: 75:[59, 4, 56, 60], Operations: [] Exploring Operation: 60-56=4, Resulting Numbers: [59, 4, 4] Generated Node #2: [59, 4, 4] from Operation: 60-56=4 Current State: 75:[59, 4, 4], Operations: ['60-56=4'] Exploring Operation: 4*4=16, Resulting Numbers: [59, 16] Generated Node #3: [59, 16] from Operation: 4*4=16 Current State: 75:[59, 16], Operations: ['60-56=4', '4*4=16'] Exploring Operation: 59+16=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 19, 2, 74, 3 ]
93
[ "19+74=93", "3-2=1", "93*1=93" ]
Current State: 93:[19, 2, 74, 3], Operations: [] Exploring Operation: 19+74=93, Resulting Numbers: [2, 3, 93] Generated Node #2: [2, 3, 93] from Operation: 19+74=93 Current State: 93:[2, 3, 93], Operations: ['19+74=93'] Exploring Operation: 3-2=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 3-2=1 Current State: 93:[93, 1], Operations: ['19+74=93', '3-2=1'] Exploring Operation: 93*1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 85, 65, 87, 41 ]
89
[ "87-85=2", "65*2=130", "130-41=89" ]
Current State: 89:[85, 65, 87, 41], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [65, 41, 2] Generated Node #2: [65, 41, 2] from Operation: 87-85=2 Current State: 89:[65, 41, 2], Operations: ['87-85=2'] Exploring Operation: 65*2=130, Resulting Numbers: [41, 130] Generated Node #3: [41, 130] from Operation: 65*2=130 Current State: 89:[41, 130], Operations: ['87-85=2', '65*2=130'] Exploring Operation: 130-41=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 37, 72, 3, 1 ]
76
[ "3+1=4", "37*4=148", "148-72=76" ]
Current State: 76:[37, 72, 3, 1], Operations: [] Exploring Operation: 3+1=4, Resulting Numbers: [37, 72, 4] Generated Node #2: [37, 72, 4] from Operation: 3+1=4 Current State: 76:[37, 72, 4], Operations: ['3+1=4'] Exploring Operation: 37*4=148, Resulting Numbers: [72, 148] Generated Node #3: [72, 148] from Operation: 37*4=148 Current State: 76:[72, 148], Operations: ['3+1=4', '37*4=148'] Exploring Operation: 148-72=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 19, 33, 65, 95 ]
27
[ "95/19=5", "65-33=32", "32-5=27" ]
Current State: 27:[19, 33, 65, 95], Operations: [] Exploring Operation: 95/19=5, Resulting Numbers: [33, 65, 5] Generated Node #2: [33, 65, 5] from Operation: 95/19=5 Current State: 27:[33, 65, 5], Operations: ['95/19=5'] Exploring Operation: 65-33=32, Resulting Numbers: [5, 32] Generated Node #3: [5, 32] from Operation: 65-33=32 Current State: 27:[5, 32], Operations: ['95/19=5', '65-33=32'] Exploring Operation: 32-5=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 74, 28, 8, 22 ]
84
[ "74-8=66", "28*66=1848", "1848/22=84" ]
Current State: 84:[74, 28, 8, 22], Operations: [] Exploring Operation: 74-8=66, Resulting Numbers: [28, 22, 66] Generated Node #2: [28, 22, 66] from Operation: 74-8=66 Current State: 84:[28, 22, 66], Operations: ['74-8=66'] Exploring Operation: 28*66=1848, Resulting Numbers: [22, 1848] Generated Node #3: [22, 1848] from Operation: 28*66=1848 Current State: 84:[22, 1848], Operations: ['74-8=66', '28*66=1848'] Exploring Operation: 1848/22=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 66, 70, 27, 74 ]
89
[ "66+70=136", "74-27=47", "136-47=89" ]
Current State: 89:[66, 70, 27, 74], Operations: [] Exploring Operation: 66+70=136, Resulting Numbers: [27, 74, 136] Generated Node #2: [27, 74, 136] from Operation: 66+70=136 Current State: 89:[27, 74, 136], Operations: ['66+70=136'] Exploring Operation: 74-27=47, Resulting Numbers: [136, 47] Generated Node #3: [136, 47] from Operation: 74-27=47 Current State: 89:[136, 47], Operations: ['66+70=136', '74-27=47'] Exploring Operation: 136-47=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 11, 9, 9, 96 ]
78
[ "11-9=2", "9*2=18", "96-18=78" ]
Current State: 78:[11, 9, 9, 96], Operations: [] Exploring Operation: 11-9=2, Resulting Numbers: [96, 2] Generated Node #2: [96, 2] from Operation: 11-9=2 Current State: 78:[96, 2], Operations: ['11-9=2'] Exploring Operation: 9*2=18, Resulting Numbers: [96, 18] Generated Node #3: [96, 18] from Operation: 9*2=18 Current State: 78:[96, 18], Operations: ['11-9=2', '9*2=18'] Exploring Operation: 96-18=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 70, 58, 35, 38 ]
98
[ "70/35=2", "58+38=96", "2+96=98" ]
Current State: 98:[70, 58, 35, 38], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [58, 38, 2] Generated Node #2: [58, 38, 2] from Operation: 70/35=2 Current State: 98:[58, 38, 2], Operations: ['70/35=2'] Exploring Operation: 58+38=96, Resulting Numbers: [2, 96] Generated Node #3: [2, 96] from Operation: 58+38=96 Current State: 98:[2, 96], Operations: ['70/35=2', '58+38=96'] Exploring Operation: 2+96=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 26, 6, 38, 78 ]
76
[ "26*6=156", "38*156=5928", "5928/78=76" ]
Current State: 76:[26, 6, 38, 78], Operations: [] Exploring Operation: 26*6=156, Resulting Numbers: [38, 78, 156] Generated Node #2: [38, 78, 156] from Operation: 26*6=156 Current State: 76:[38, 78, 156], Operations: ['26*6=156'] Exploring Operation: 38*156=5928, Resulting Numbers: [78, 5928] Generated Node #3: [78, 5928] from Operation: 38*156=5928 Current State: 76:[78, 5928], Operations: ['26*6=156', '38*156=5928'] Exploring Operation: 5928/78=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 85, 53, 80, 18 ]
94
[ "85-53=32", "80-18=62", "32+62=94" ]
Current State: 94:[85, 53, 80, 18], Operations: [] Exploring Operation: 85-53=32, Resulting Numbers: [80, 18, 32] Generated Node #2: [80, 18, 32] from Operation: 85-53=32 Current State: 94:[80, 18, 32], Operations: ['85-53=32'] Exploring Operation: 80-18=62, Resulting Numbers: [32, 62] Generated Node #3: [32, 62] from Operation: 80-18=62 Current State: 94:[32, 62], Operations: ['85-53=32', '80-18=62'] Exploring Operation: 32+62=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 2, 87, 33, 6 ]
12
[ "6/2=3", "33*3=99", "99-87=12" ]
Current State: 12:[2, 87, 33, 6], Operations: [] Exploring Operation: 6/2=3, Resulting Numbers: [87, 33, 3] Generated Node #2: [87, 33, 3] from Operation: 6/2=3 Current State: 12:[87, 33, 3], Operations: ['6/2=3'] Exploring Operation: 33*3=99, Resulting Numbers: [87, 99] Generated Node #3: [87, 99] from Operation: 33*3=99 Current State: 12:[87, 99], Operations: ['6/2=3', '33*3=99'] Exploring Operation: 99-87=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 7, 12, 13, 74 ]
72
[ "13-7=6", "12/6=2", "74-2=72" ]
Current State: 72:[7, 12, 13, 74], Operations: [] Exploring Operation: 13-7=6, Resulting Numbers: [12, 74, 6] Generated Node #2: [12, 74, 6] from Operation: 13-7=6 Current State: 72:[12, 74, 6], Operations: ['13-7=6'] Exploring Operation: 12/6=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 12/6=2 Current State: 72:[74, 2], Operations: ['13-7=6', '12/6=2'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 12, 95, 93, 81 ]
57
[ "95-93=2", "12*2=24", "81-24=57" ]
Current State: 57:[12, 95, 93, 81], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [12, 81, 2] Generated Node #2: [12, 81, 2] from Operation: 95-93=2 Current State: 57:[12, 81, 2], Operations: ['95-93=2'] Exploring Operation: 12*2=24, Resulting Numbers: [81, 24] Generated Node #3: [81, 24] from Operation: 12*2=24 Current State: 57:[81, 24], Operations: ['95-93=2', '12*2=24'] Exploring Operation: 81-24=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 81, 95, 24, 19 ]
62
[ "81-24=57", "95/19=5", "57+5=62" ]
Current State: 62:[81, 95, 24, 19], Operations: [] Exploring Operation: 81-24=57, Resulting Numbers: [95, 19, 57] Generated Node #2: [95, 19, 57] from Operation: 81-24=57 Current State: 62:[95, 19, 57], Operations: ['81-24=57'] Exploring Operation: 95/19=5, Resulting Numbers: [57, 5] Generated Node #3: [57, 5] from Operation: 95/19=5 Current State: 62:[57, 5], Operations: ['81-24=57', '95/19=5'] Exploring Operation: 57+5=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 16, 23, 69, 5 ]
95
[ "69/23=3", "16+3=19", "5*19=95" ]
Current State: 95:[16, 23, 69, 5], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [16, 5, 3] Generated Node #2: [16, 5, 3] from Operation: 69/23=3 Current State: 95:[16, 5, 3], Operations: ['69/23=3'] Exploring Operation: 16+3=19, Resulting Numbers: [5, 19] Generated Node #3: [5, 19] from Operation: 16+3=19 Current State: 95:[5, 19], Operations: ['69/23=3', '16+3=19'] Exploring Operation: 5*19=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 29, 10, 39, 72 ]
28
[ "39-29=10", "10*10=100", "100-72=28" ]
Current State: 28:[29, 10, 39, 72], Operations: [] Exploring Operation: 39-29=10, Resulting Numbers: [10, 72, 10] Generated Node #2: [10, 72, 10] from Operation: 39-29=10 Current State: 28:[10, 72, 10], Operations: ['39-29=10'] Exploring Operation: 10*10=100, Resulting Numbers: [72, 100] Generated Node #3: [72, 100] from Operation: 10*10=100 Current State: 28:[72, 100], Operations: ['39-29=10', '10*10=100'] Exploring Operation: 100-72=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 78, 67, 40, 9 ]
81
[ "67-40=27", "27/9=3", "78+3=81" ]
Current State: 81:[78, 67, 40, 9], Operations: [] Exploring Operation: 67-40=27, Resulting Numbers: [78, 9, 27] Generated Node #2: [78, 9, 27] from Operation: 67-40=27 Current State: 81:[78, 9, 27], Operations: ['67-40=27'] Exploring Operation: 27/9=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 27/9=3 Current State: 81:[78, 3], Operations: ['67-40=27', '27/9=3'] Exploring Operation: 78+3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 1, 79, 98, 42 ]
22
[ "79-1=78", "98-42=56", "78-56=22" ]
Current State: 22:[1, 79, 98, 42], Operations: [] Exploring Operation: 79-1=78, Resulting Numbers: [98, 42, 78] Generated Node #2: [98, 42, 78] from Operation: 79-1=78 Current State: 22:[98, 42, 78], Operations: ['79-1=78'] Exploring Operation: 98-42=56, Resulting Numbers: [78, 56] Generated Node #3: [78, 56] from Operation: 98-42=56 Current State: 22:[78, 56], Operations: ['79-1=78', '98-42=56'] Exploring Operation: 78-56=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 97, 46, 28, 11 ]
41
[ "97+46=143", "143/11=13", "28+13=41" ]
Current State: 41:[97, 46, 28, 11], Operations: [] Exploring Operation: 97+46=143, Resulting Numbers: [28, 11, 143] Generated Node #2: [28, 11, 143] from Operation: 97+46=143 Current State: 41:[28, 11, 143], Operations: ['97+46=143'] Exploring Operation: 143/11=13, Resulting Numbers: [28, 13] Generated Node #3: [28, 13] from Operation: 143/11=13 Current State: 41:[28, 13], Operations: ['97+46=143', '143/11=13'] Exploring Operation: 28+13=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 96, 8, 18, 36 ]
66
[ "96/8=12", "18+36=54", "12+54=66" ]
Current State: 66:[96, 8, 18, 36], Operations: [] Exploring Operation: 96/8=12, Resulting Numbers: [18, 36, 12] Generated Node #2: [18, 36, 12] from Operation: 96/8=12 Current State: 66:[18, 36, 12], Operations: ['96/8=12'] Exploring Operation: 18+36=54, Resulting Numbers: [12, 54] Generated Node #3: [12, 54] from Operation: 18+36=54 Current State: 66:[12, 54], Operations: ['96/8=12', '18+36=54'] Exploring Operation: 12+54=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 1, 8, 71, 65 ]
40
[ "71-1=70", "70-65=5", "8*5=40" ]
Current State: 40:[1, 8, 71, 65], Operations: [] Exploring Operation: 71-1=70, Resulting Numbers: [8, 65, 70] Generated Node #2: [8, 65, 70] from Operation: 71-1=70 Current State: 40:[8, 65, 70], Operations: ['71-1=70'] Exploring Operation: 70-65=5, Resulting Numbers: [8, 5] Generated Node #3: [8, 5] from Operation: 70-65=5 Current State: 40:[8, 5], Operations: ['71-1=70', '70-65=5'] Exploring Operation: 8*5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 89, 56, 83, 4 ]
54
[ "89-56=33", "83+4=87", "87-33=54" ]
Current State: 54:[89, 56, 83, 4], Operations: [] Exploring Operation: 89-56=33, Resulting Numbers: [83, 4, 33] Generated Node #2: [83, 4, 33] from Operation: 89-56=33 Current State: 54:[83, 4, 33], Operations: ['89-56=33'] Exploring Operation: 83+4=87, Resulting Numbers: [33, 87] Generated Node #3: [33, 87] from Operation: 83+4=87 Current State: 54:[33, 87], Operations: ['89-56=33', '83+4=87'] Exploring Operation: 87-33=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 60, 74, 30, 80 ]
65
[ "80-74=6", "30/6=5", "60+5=65" ]
Current State: 65:[60, 74, 30, 80], Operations: [] Exploring Operation: 80-74=6, Resulting Numbers: [60, 30, 6] Generated Node #2: [60, 30, 6] from Operation: 80-74=6 Current State: 65:[60, 30, 6], Operations: ['80-74=6'] Exploring Operation: 30/6=5, Resulting Numbers: [60, 5] Generated Node #3: [60, 5] from Operation: 30/6=5 Current State: 65:[60, 5], Operations: ['80-74=6', '30/6=5'] Exploring Operation: 60+5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 63, 45, 58, 28 ]
42
[ "58-28=30", "63*30=1890", "1890/45=42" ]
Current State: 42:[63, 45, 58, 28], Operations: [] Exploring Operation: 58-28=30, Resulting Numbers: [63, 45, 30] Generated Node #2: [63, 45, 30] from Operation: 58-28=30 Current State: 42:[63, 45, 30], Operations: ['58-28=30'] Exploring Operation: 63*30=1890, Resulting Numbers: [45, 1890] Generated Node #3: [45, 1890] from Operation: 63*30=1890 Current State: 42:[45, 1890], Operations: ['58-28=30', '63*30=1890'] Exploring Operation: 1890/45=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 3, 39, 64, 63 ]
35
[ "39-3=36", "64-63=1", "36-1=35" ]
Current State: 35:[3, 39, 64, 63], Operations: [] Exploring Operation: 39-3=36, Resulting Numbers: [64, 63, 36] Generated Node #2: [64, 63, 36] from Operation: 39-3=36 Current State: 35:[64, 63, 36], Operations: ['39-3=36'] Exploring Operation: 64-63=1, Resulting Numbers: [36, 1] Generated Node #3: [36, 1] from Operation: 64-63=1 Current State: 35:[36, 1], Operations: ['39-3=36', '64-63=1'] Exploring Operation: 36-1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 10, 3, 8, 77 ]
91
[ "77-10=67", "3*8=24", "67+24=91" ]
Current State: 91:[10, 3, 8, 77], Operations: [] Exploring Operation: 77-10=67, Resulting Numbers: [3, 8, 67] Generated Node #2: [3, 8, 67] from Operation: 77-10=67 Current State: 91:[3, 8, 67], Operations: ['77-10=67'] Exploring Operation: 3*8=24, Resulting Numbers: [67, 24] Generated Node #3: [67, 24] from Operation: 3*8=24 Current State: 91:[67, 24], Operations: ['77-10=67', '3*8=24'] Exploring Operation: 67+24=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 56, 88, 6, 8 ]
84
[ "6+8=14", "56/14=4", "88-4=84" ]
Current State: 84:[56, 88, 6, 8], Operations: [] Exploring Operation: 6+8=14, Resulting Numbers: [56, 88, 14] Generated Node #2: [56, 88, 14] from Operation: 6+8=14 Current State: 84:[56, 88, 14], Operations: ['6+8=14'] Exploring Operation: 56/14=4, Resulting Numbers: [88, 4] Generated Node #3: [88, 4] from Operation: 56/14=4 Current State: 84:[88, 4], Operations: ['6+8=14', '56/14=4'] Exploring Operation: 88-4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 44, 8, 48, 1 ]
49
[ "44-1=43", "48/8=6", "43+6=49" ]
Current State: 49:[44, 8, 48, 1], Operations: [] Exploring Operation: 44-1=43, Resulting Numbers: [8, 48, 43] Generated Node #2: [8, 48, 43] from Operation: 44-1=43 Current State: 49:[8, 48, 43], Operations: ['44-1=43'] Exploring Operation: 48/8=6, Resulting Numbers: [43, 6] Generated Node #3: [43, 6] from Operation: 48/8=6 Current State: 49:[43, 6], Operations: ['44-1=43', '48/8=6'] Exploring Operation: 43+6=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 2, 10, 99, 65 ]
42
[ "10-2=8", "99-65=34", "8+34=42" ]
Current State: 42:[2, 10, 99, 65], Operations: [] Exploring Operation: 10-2=8, Resulting Numbers: [99, 65, 8] Generated Node #2: [99, 65, 8] from Operation: 10-2=8 Current State: 42:[99, 65, 8], Operations: ['10-2=8'] Exploring Operation: 99-65=34, Resulting Numbers: [8, 34] Generated Node #3: [8, 34] from Operation: 99-65=34 Current State: 42:[8, 34], Operations: ['10-2=8', '99-65=34'] Exploring Operation: 8+34=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 12, 45, 75, 2 ]
93
[ "12+45=57", "75*2=150", "150-57=93" ]
Current State: 93:[12, 45, 75, 2], Operations: [] Exploring Operation: 12+45=57, Resulting Numbers: [75, 2, 57] Generated Node #2: [75, 2, 57] from Operation: 12+45=57 Current State: 93:[75, 2, 57], Operations: ['12+45=57'] Exploring Operation: 75*2=150, Resulting Numbers: [57, 150] Generated Node #3: [57, 150] from Operation: 75*2=150 Current State: 93:[57, 150], Operations: ['12+45=57', '75*2=150'] Exploring Operation: 150-57=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 51, 62, 74, 64 ]
97
[ "64-62=2", "74*2=148", "148-51=97" ]
Current State: 97:[51, 62, 74, 64], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [51, 74, 2] Generated Node #2: [51, 74, 2] from Operation: 64-62=2 Current State: 97:[51, 74, 2], Operations: ['64-62=2'] Exploring Operation: 74*2=148, Resulting Numbers: [51, 148] Generated Node #3: [51, 148] from Operation: 74*2=148 Current State: 97:[51, 148], Operations: ['64-62=2', '74*2=148'] Exploring Operation: 148-51=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 38, 3, 70, 61 ]
75
[ "38+70=108", "3*61=183", "183-108=75" ]
Current State: 75:[38, 3, 70, 61], Operations: [] Exploring Operation: 38+70=108, Resulting Numbers: [3, 61, 108] Generated Node #2: [3, 61, 108] from Operation: 38+70=108 Current State: 75:[3, 61, 108], Operations: ['38+70=108'] Exploring Operation: 3*61=183, Resulting Numbers: [108, 183] Generated Node #3: [108, 183] from Operation: 3*61=183 Current State: 75:[108, 183], Operations: ['38+70=108', '3*61=183'] Exploring Operation: 183-108=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 70, 9, 43, 49 ]
46
[ "70-43=27", "27/9=3", "49-3=46" ]
Current State: 46:[70, 9, 43, 49], Operations: [] Exploring Operation: 70-43=27, Resulting Numbers: [9, 49, 27] Generated Node #2: [9, 49, 27] from Operation: 70-43=27 Current State: 46:[9, 49, 27], Operations: ['70-43=27'] Exploring Operation: 27/9=3, Resulting Numbers: [49, 3] Generated Node #3: [49, 3] from Operation: 27/9=3 Current State: 46:[49, 3], Operations: ['70-43=27', '27/9=3'] Exploring Operation: 49-3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 31, 16, 36, 75 ]
86
[ "31+16=47", "75-36=39", "47+39=86" ]
Current State: 86:[31, 16, 36, 75], Operations: [] Exploring Operation: 31+16=47, Resulting Numbers: [36, 75, 47] Generated Node #2: [36, 75, 47] from Operation: 31+16=47 Current State: 86:[36, 75, 47], Operations: ['31+16=47'] Exploring Operation: 75-36=39, Resulting Numbers: [47, 39] Generated Node #3: [47, 39] from Operation: 75-36=39 Current State: 86:[47, 39], Operations: ['31+16=47', '75-36=39'] Exploring Operation: 47+39=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 45, 23, 13, 70 ]
26
[ "45+23=68", "70-68=2", "13*2=26" ]
Current State: 26:[45, 23, 13, 70], Operations: [] Exploring Operation: 45+23=68, Resulting Numbers: [13, 70, 68] Generated Node #2: [13, 70, 68] from Operation: 45+23=68 Current State: 26:[13, 70, 68], Operations: ['45+23=68'] Exploring Operation: 70-68=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 70-68=2 Current State: 26:[13, 2], Operations: ['45+23=68', '70-68=2'] Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 86, 39, 71, 37 ]
91
[ "86+39=125", "71-37=34", "125-34=91" ]
Current State: 91:[86, 39, 71, 37], Operations: [] Exploring Operation: 86+39=125, Resulting Numbers: [71, 37, 125] Generated Node #2: [71, 37, 125] from Operation: 86+39=125 Current State: 91:[71, 37, 125], Operations: ['86+39=125'] Exploring Operation: 71-37=34, Resulting Numbers: [125, 34] Generated Node #3: [125, 34] from Operation: 71-37=34 Current State: 91:[125, 34], Operations: ['86+39=125', '71-37=34'] Exploring Operation: 125-34=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 26, 71, 79, 11 ]
23
[ "71-26=45", "79-11=68", "68-45=23" ]
Current State: 23:[26, 71, 79, 11], Operations: [] Exploring Operation: 71-26=45, Resulting Numbers: [79, 11, 45] Generated Node #2: [79, 11, 45] from Operation: 71-26=45 Current State: 23:[79, 11, 45], Operations: ['71-26=45'] Exploring Operation: 79-11=68, Resulting Numbers: [45, 68] Generated Node #3: [45, 68] from Operation: 79-11=68 Current State: 23:[45, 68], Operations: ['71-26=45', '79-11=68'] Exploring Operation: 68-45=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 5, 23, 72, 54 ]
21
[ "5+23=28", "54*28=1512", "1512/72=21" ]
Current State: 21:[5, 23, 72, 54], Operations: [] Exploring Operation: 5+23=28, Resulting Numbers: [72, 54, 28] Generated Node #2: [72, 54, 28] from Operation: 5+23=28 Current State: 21:[72, 54, 28], Operations: ['5+23=28'] Exploring Operation: 54*28=1512, Resulting Numbers: [72, 1512] Generated Node #3: [72, 1512] from Operation: 54*28=1512 Current State: 21:[72, 1512], Operations: ['5+23=28', '54*28=1512'] Exploring Operation: 1512/72=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 75, 3, 58, 73 ]
22
[ "75-58=17", "3*17=51", "73-51=22" ]
Current State: 22:[75, 3, 58, 73], Operations: [] Exploring Operation: 75-58=17, Resulting Numbers: [3, 73, 17] Generated Node #2: [3, 73, 17] from Operation: 75-58=17 Current State: 22:[3, 73, 17], Operations: ['75-58=17'] Exploring Operation: 3*17=51, Resulting Numbers: [73, 51] Generated Node #3: [73, 51] from Operation: 3*17=51 Current State: 22:[73, 51], Operations: ['75-58=17', '3*17=51'] Exploring Operation: 73-51=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 90, 63, 9, 87 ]
51
[ "90-63=27", "87-9=78", "78-27=51" ]
Current State: 51:[90, 63, 9, 87], Operations: [] Exploring Operation: 90-63=27, Resulting Numbers: [9, 87, 27] Generated Node #2: [9, 87, 27] from Operation: 90-63=27 Current State: 51:[9, 87, 27], Operations: ['90-63=27'] Exploring Operation: 87-9=78, Resulting Numbers: [27, 78] Generated Node #3: [27, 78] from Operation: 87-9=78 Current State: 51:[27, 78], Operations: ['90-63=27', '87-9=78'] Exploring Operation: 78-27=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 39, 67, 20, 52 ]
74
[ "39+67=106", "52-20=32", "106-32=74" ]
Current State: 74:[39, 67, 20, 52], Operations: [] Exploring Operation: 39+67=106, Resulting Numbers: [20, 52, 106] Generated Node #2: [20, 52, 106] from Operation: 39+67=106 Current State: 74:[20, 52, 106], Operations: ['39+67=106'] Exploring Operation: 52-20=32, Resulting Numbers: [106, 32] Generated Node #3: [106, 32] from Operation: 52-20=32 Current State: 74:[106, 32], Operations: ['39+67=106', '52-20=32'] Exploring Operation: 106-32=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 4, 73, 63, 38 ]
78
[ "73-63=10", "4*10=40", "38+40=78" ]
Current State: 78:[4, 73, 63, 38], Operations: [] Exploring Operation: 73-63=10, Resulting Numbers: [4, 38, 10] Generated Node #2: [4, 38, 10] from Operation: 73-63=10 Current State: 78:[4, 38, 10], Operations: ['73-63=10'] Exploring Operation: 4*10=40, Resulting Numbers: [38, 40] Generated Node #3: [38, 40] from Operation: 4*10=40 Current State: 78:[38, 40], Operations: ['73-63=10', '4*10=40'] Exploring Operation: 38+40=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 20, 4, 12, 5 ]
76
[ "20-4=16", "12*5=60", "16+60=76" ]
Current State: 76:[20, 4, 12, 5], Operations: [] Exploring Operation: 20-4=16, Resulting Numbers: [12, 5, 16] Generated Node #2: [12, 5, 16] from Operation: 20-4=16 Current State: 76:[12, 5, 16], Operations: ['20-4=16'] Exploring Operation: 12*5=60, Resulting Numbers: [16, 60] Generated Node #3: [16, 60] from Operation: 12*5=60 Current State: 76:[16, 60], Operations: ['20-4=16', '12*5=60'] Exploring Operation: 16+60=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 45, 36, 31, 66 ]
57
[ "36-31=5", "45/5=9", "66-9=57" ]
Current State: 57:[45, 36, 31, 66], Operations: [] Exploring Operation: 36-31=5, Resulting Numbers: [45, 66, 5] Generated Node #2: [45, 66, 5] from Operation: 36-31=5 Current State: 57:[45, 66, 5], Operations: ['36-31=5'] Exploring Operation: 45/5=9, Resulting Numbers: [66, 9] Generated Node #3: [66, 9] from Operation: 45/5=9 Current State: 57:[66, 9], Operations: ['36-31=5', '45/5=9'] Exploring Operation: 66-9=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 64, 51, 23, 66 ]
79
[ "66-64=2", "51*2=102", "102-23=79" ]
Current State: 79:[64, 51, 23, 66], Operations: [] Exploring Operation: 66-64=2, Resulting Numbers: [51, 23, 2] Generated Node #2: [51, 23, 2] from Operation: 66-64=2 Current State: 79:[51, 23, 2], Operations: ['66-64=2'] Exploring Operation: 51*2=102, Resulting Numbers: [23, 102] Generated Node #3: [23, 102] from Operation: 51*2=102 Current State: 79:[23, 102], Operations: ['66-64=2', '51*2=102'] Exploring Operation: 102-23=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 16, 34, 2, 86 ]
20
[ "16*2=32", "86-34=52", "52-32=20" ]
Current State: 20:[16, 34, 2, 86], Operations: [] Exploring Operation: 16*2=32, Resulting Numbers: [34, 86, 32] Generated Node #2: [34, 86, 32] from Operation: 16*2=32 Current State: 20:[34, 86, 32], Operations: ['16*2=32'] Exploring Operation: 86-34=52, Resulting Numbers: [32, 52] Generated Node #3: [32, 52] from Operation: 86-34=52 Current State: 20:[32, 52], Operations: ['16*2=32', '86-34=52'] Exploring Operation: 52-32=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 18, 23, 32, 10 ]
18
[ "23-18=5", "10*5=50", "50-32=18" ]
Current State: 18:[18, 23, 32, 10], Operations: [] Exploring Operation: 23-18=5, Resulting Numbers: [32, 10, 5] Generated Node #2: [32, 10, 5] from Operation: 23-18=5 Current State: 18:[32, 10, 5], Operations: ['23-18=5'] Exploring Operation: 10*5=50, Resulting Numbers: [32, 50] Generated Node #3: [32, 50] from Operation: 10*5=50 Current State: 18:[32, 50], Operations: ['23-18=5', '10*5=50'] Exploring Operation: 50-32=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 2, 54, 6, 60 ]
46
[ "2+54=56", "60/6=10", "56-10=46" ]
Current State: 46:[2, 54, 6, 60], Operations: [] Exploring Operation: 2+54=56, Resulting Numbers: [6, 60, 56] Generated Node #2: [6, 60, 56] from Operation: 2+54=56 Current State: 46:[6, 60, 56], Operations: ['2+54=56'] Exploring Operation: 60/6=10, Resulting Numbers: [56, 10] Generated Node #3: [56, 10] from Operation: 60/6=10 Current State: 46:[56, 10], Operations: ['2+54=56', '60/6=10'] Exploring Operation: 56-10=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 28, 59, 70, 8 ]
31
[ "59-28=31", "70-8=62", "62-31=31" ]
Current State: 31:[28, 59, 70, 8], Operations: [] Exploring Operation: 59-28=31, Resulting Numbers: [70, 8, 31] Generated Node #2: [70, 8, 31] from Operation: 59-28=31 Current State: 31:[70, 8, 31], Operations: ['59-28=31'] Exploring Operation: 70-8=62, Resulting Numbers: [31, 62] Generated Node #3: [31, 62] from Operation: 70-8=62 Current State: 31:[31, 62], Operations: ['59-28=31', '70-8=62'] Exploring Operation: 62-31=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 9, 3, 27, 93 ]
92
[ "9*3=27", "27/27=1", "93-1=92" ]
Current State: 92:[9, 3, 27, 93], Operations: [] Exploring Operation: 9*3=27, Resulting Numbers: [27, 93, 27] Generated Node #2: [27, 93, 27] from Operation: 9*3=27 Current State: 92:[27, 93, 27], Operations: ['9*3=27'] Exploring Operation: 27/27=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 27/27=1 Current State: 92:[93, 1], Operations: ['9*3=27', '27/27=1'] Exploring Operation: 93-1=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 2, 37, 20, 28 ]
21
[ "28-20=8", "2*8=16", "37-16=21" ]
Current State: 21:[2, 37, 20, 28], Operations: [] Exploring Operation: 28-20=8, Resulting Numbers: [2, 37, 8] Generated Node #2: [2, 37, 8] from Operation: 28-20=8 Current State: 21:[2, 37, 8], Operations: ['28-20=8'] Exploring Operation: 2*8=16, Resulting Numbers: [37, 16] Generated Node #3: [37, 16] from Operation: 2*8=16 Current State: 21:[37, 16], Operations: ['28-20=8', '2*8=16'] Exploring Operation: 37-16=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 62, 39, 49, 10 ]
91
[ "62-49=13", "10*13=130", "130-39=91" ]
Current State: 91:[62, 39, 49, 10], Operations: [] Exploring Operation: 62-49=13, Resulting Numbers: [39, 10, 13] Generated Node #2: [39, 10, 13] from Operation: 62-49=13 Current State: 91:[39, 10, 13], Operations: ['62-49=13'] Exploring Operation: 10*13=130, Resulting Numbers: [39, 130] Generated Node #3: [39, 130] from Operation: 10*13=130 Current State: 91:[39, 130], Operations: ['62-49=13', '10*13=130'] Exploring Operation: 130-39=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 28, 54, 8, 26 ]
84
[ "28*54=1512", "26-8=18", "1512/18=84" ]
Current State: 84:[28, 54, 8, 26], Operations: [] Exploring Operation: 28*54=1512, Resulting Numbers: [8, 26, 1512] Generated Node #2: [8, 26, 1512] from Operation: 28*54=1512 Current State: 84:[8, 26, 1512], Operations: ['28*54=1512'] Exploring Operation: 26-8=18, Resulting Numbers: [1512, 18] Generated Node #3: [1512, 18] from Operation: 26-8=18 Current State: 84:[1512, 18], Operations: ['28*54=1512', '26-8=18'] Exploring Operation: 1512/18=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 92, 79, 51, 69 ]
31
[ "92-79=13", "69-51=18", "13+18=31" ]
Current State: 31:[92, 79, 51, 69], Operations: [] Exploring Operation: 92-79=13, Resulting Numbers: [51, 69, 13] Generated Node #2: [51, 69, 13] from Operation: 92-79=13 Current State: 31:[51, 69, 13], Operations: ['92-79=13'] Exploring Operation: 69-51=18, Resulting Numbers: [13, 18] Generated Node #3: [13, 18] from Operation: 69-51=18 Current State: 31:[13, 18], Operations: ['92-79=13', '69-51=18'] Exploring Operation: 13+18=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 59, 52, 77, 59 ]
25
[ "59+52=111", "77+59=136", "136-111=25" ]
Current State: 25:[59, 52, 77, 59], Operations: [] Exploring Operation: 59+52=111, Resulting Numbers: [77, 111] Generated Node #2: [77, 111] from Operation: 59+52=111 Current State: 25:[77, 111], Operations: ['59+52=111'] Exploring Operation: 77+59=136, Resulting Numbers: [111, 136] Generated Node #3: [111, 136] from Operation: 77+59=136 Current State: 25:[111, 136], Operations: ['59+52=111', '77+59=136'] Exploring Operation: 136-111=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 22, 53, 12, 57 ]
60
[ "53+57=110", "110/22=5", "12*5=60" ]
Current State: 60:[22, 53, 12, 57], Operations: [] Exploring Operation: 53+57=110, Resulting Numbers: [22, 12, 110] Generated Node #2: [22, 12, 110] from Operation: 53+57=110 Current State: 60:[22, 12, 110], Operations: ['53+57=110'] Exploring Operation: 110/22=5, Resulting Numbers: [12, 5] Generated Node #3: [12, 5] from Operation: 110/22=5 Current State: 60:[12, 5], Operations: ['53+57=110', '110/22=5'] Exploring Operation: 12*5=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 22, 8, 29, 27 ]
16
[ "22-8=14", "29-27=2", "14+2=16" ]
Current State: 16:[22, 8, 29, 27], Operations: [] Exploring Operation: 22-8=14, Resulting Numbers: [29, 27, 14] Generated Node #2: [29, 27, 14] from Operation: 22-8=14 Current State: 16:[29, 27, 14], Operations: ['22-8=14'] Exploring Operation: 29-27=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 29-27=2 Current State: 16:[14, 2], Operations: ['22-8=14', '29-27=2'] Exploring Operation: 14+2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 82, 62, 70, 71 ]
19
[ "82-62=20", "71-70=1", "20-1=19" ]
Current State: 19:[82, 62, 70, 71], Operations: [] Exploring Operation: 82-62=20, Resulting Numbers: [70, 71, 20] Generated Node #2: [70, 71, 20] from Operation: 82-62=20 Current State: 19:[70, 71, 20], Operations: ['82-62=20'] Exploring Operation: 71-70=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 71-70=1 Current State: 19:[20, 1], Operations: ['82-62=20', '71-70=1'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 16, 56, 32, 22 ]
77
[ "32-16=16", "56*22=1232", "1232/16=77" ]
Current State: 77:[16, 56, 32, 22], Operations: [] Exploring Operation: 32-16=16, Resulting Numbers: [56, 22, 16] Generated Node #2: [56, 22, 16] from Operation: 32-16=16 Current State: 77:[56, 22, 16], Operations: ['32-16=16'] Exploring Operation: 56*22=1232, Resulting Numbers: [16, 1232] Generated Node #3: [16, 1232] from Operation: 56*22=1232 Current State: 77:[16, 1232], Operations: ['32-16=16', '56*22=1232'] Exploring Operation: 1232/16=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 24, 51, 75, 48 ]
12
[ "48/24=2", "75-51=24", "24/2=12" ]
Current State: 12:[24, 51, 75, 48], Operations: [] Exploring Operation: 48/24=2, Resulting Numbers: [51, 75, 2] Generated Node #2: [51, 75, 2] from Operation: 48/24=2 Current State: 12:[51, 75, 2], Operations: ['48/24=2'] Exploring Operation: 75-51=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operation: 75-51=24 Current State: 12:[2, 24], Operations: ['48/24=2', '75-51=24'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 22, 4, 78, 5 ]
39
[ "4*5=20", "22-20=2", "78/2=39" ]
Current State: 39:[22, 4, 78, 5], Operations: [] Exploring Operation: 4*5=20, Resulting Numbers: [22, 78, 20] Generated Node #2: [22, 78, 20] from Operation: 4*5=20 Current State: 39:[22, 78, 20], Operations: ['4*5=20'] Exploring Operation: 22-20=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 22-20=2 Current State: 39:[78, 2], Operations: ['4*5=20', '22-20=2'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 74, 4, 23, 29 ]
61
[ "23+29=52", "52/4=13", "74-13=61" ]
Current State: 61:[74, 4, 23, 29], Operations: [] Exploring Operation: 23+29=52, Resulting Numbers: [74, 4, 52] Generated Node #2: [74, 4, 52] from Operation: 23+29=52 Current State: 61:[74, 4, 52], Operations: ['23+29=52'] Exploring Operation: 52/4=13, Resulting Numbers: [74, 13] Generated Node #3: [74, 13] from Operation: 52/4=13 Current State: 61:[74, 13], Operations: ['23+29=52', '52/4=13'] Exploring Operation: 74-13=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 81, 14, 89, 55 ]
61
[ "81+14=95", "89-55=34", "95-34=61" ]
Current State: 61:[81, 14, 89, 55], Operations: [] Exploring Operation: 81+14=95, Resulting Numbers: [89, 55, 95] Generated Node #2: [89, 55, 95] from Operation: 81+14=95 Current State: 61:[89, 55, 95], Operations: ['81+14=95'] Exploring Operation: 89-55=34, Resulting Numbers: [95, 34] Generated Node #3: [95, 34] from Operation: 89-55=34 Current State: 61:[95, 34], Operations: ['81+14=95', '89-55=34'] Exploring Operation: 95-34=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 46, 2, 61, 14 ]
59
[ "46+14=60", "2*60=120", "120-61=59" ]
Current State: 59:[46, 2, 61, 14], Operations: [] Exploring Operation: 46+14=60, Resulting Numbers: [2, 61, 60] Generated Node #2: [2, 61, 60] from Operation: 46+14=60 Current State: 59:[2, 61, 60], Operations: ['46+14=60'] Exploring Operation: 2*60=120, Resulting Numbers: [61, 120] Generated Node #3: [61, 120] from Operation: 2*60=120 Current State: 59:[61, 120], Operations: ['46+14=60', '2*60=120'] Exploring Operation: 120-61=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 68, 95, 46, 76 ]
95
[ "95-68=27", "46+76=122", "122-27=95" ]
Current State: 95:[68, 95, 46, 76], Operations: [] Exploring Operation: 95-68=27, Resulting Numbers: [46, 76, 27] Generated Node #2: [46, 76, 27] from Operation: 95-68=27 Current State: 95:[46, 76, 27], Operations: ['95-68=27'] Exploring Operation: 46+76=122, Resulting Numbers: [27, 122] Generated Node #3: [27, 122] from Operation: 46+76=122 Current State: 95:[27, 122], Operations: ['95-68=27', '46+76=122'] Exploring Operation: 122-27=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 84, 96, 40, 88 ]
86
[ "88-84=4", "40/4=10", "96-10=86" ]
Current State: 86:[84, 96, 40, 88], Operations: [] Exploring Operation: 88-84=4, Resulting Numbers: [96, 40, 4] Generated Node #2: [96, 40, 4] from Operation: 88-84=4 Current State: 86:[96, 40, 4], Operations: ['88-84=4'] Exploring Operation: 40/4=10, Resulting Numbers: [96, 10] Generated Node #3: [96, 10] from Operation: 40/4=10 Current State: 86:[96, 10], Operations: ['88-84=4', '40/4=10'] Exploring Operation: 96-10=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 33, 67, 79, 7 ]
28
[ "33+67=100", "79-7=72", "100-72=28" ]
Current State: 28:[33, 67, 79, 7], Operations: [] Exploring Operation: 33+67=100, Resulting Numbers: [79, 7, 100] Generated Node #2: [79, 7, 100] from Operation: 33+67=100 Current State: 28:[79, 7, 100], Operations: ['33+67=100'] Exploring Operation: 79-7=72, Resulting Numbers: [100, 72] Generated Node #3: [100, 72] from Operation: 79-7=72 Current State: 28:[100, 72], Operations: ['33+67=100', '79-7=72'] Exploring Operation: 100-72=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 54, 72, 83, 63 ]
81
[ "54+72=126", "126/63=2", "83-2=81" ]
Current State: 81:[54, 72, 83, 63], Operations: [] Exploring Operation: 54+72=126, Resulting Numbers: [83, 63, 126] Generated Node #2: [83, 63, 126] from Operation: 54+72=126 Current State: 81:[83, 63, 126], Operations: ['54+72=126'] Exploring Operation: 126/63=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 126/63=2 Current State: 81:[83, 2], Operations: ['54+72=126', '126/63=2'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 68, 25, 42, 34 ]
17
[ "68+25=93", "42+34=76", "93-76=17" ]
Current State: 17:[68, 25, 42, 34], Operations: [] Exploring Operation: 68+25=93, Resulting Numbers: [42, 34, 93] Generated Node #2: [42, 34, 93] from Operation: 68+25=93 Current State: 17:[42, 34, 93], Operations: ['68+25=93'] Exploring Operation: 42+34=76, Resulting Numbers: [93, 76] Generated Node #3: [93, 76] from Operation: 42+34=76 Current State: 17:[93, 76], Operations: ['68+25=93', '42+34=76'] Exploring Operation: 93-76=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 30, 39, 48, 22 ]
64
[ "30+22=52", "48*52=2496", "2496/39=64" ]
Current State: 64:[30, 39, 48, 22], Operations: [] Exploring Operation: 30+22=52, Resulting Numbers: [39, 48, 52] Generated Node #2: [39, 48, 52] from Operation: 30+22=52 Current State: 64:[39, 48, 52], Operations: ['30+22=52'] Exploring Operation: 48*52=2496, Resulting Numbers: [39, 2496] Generated Node #3: [39, 2496] from Operation: 48*52=2496 Current State: 64:[39, 2496], Operations: ['30+22=52', '48*52=2496'] Exploring Operation: 2496/39=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 94, 15, 10, 13 ]
37
[ "15-13=2", "94/2=47", "47-10=37" ]
Current State: 37:[94, 15, 10, 13], Operations: [] Exploring Operation: 15-13=2, Resulting Numbers: [94, 10, 2] Generated Node #2: [94, 10, 2] from Operation: 15-13=2 Current State: 37:[94, 10, 2], Operations: ['15-13=2'] Exploring Operation: 94/2=47, Resulting Numbers: [10, 47] Generated Node #3: [10, 47] from Operation: 94/2=47 Current State: 37:[10, 47], Operations: ['15-13=2', '94/2=47'] Exploring Operation: 47-10=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 8, 47, 2, 9 ]
97
[ "8*2=16", "9*16=144", "144-47=97" ]
Current State: 97:[8, 47, 2, 9], Operations: [] Exploring Operation: 8*2=16, Resulting Numbers: [47, 9, 16] Generated Node #2: [47, 9, 16] from Operation: 8*2=16 Current State: 97:[47, 9, 16], Operations: ['8*2=16'] Exploring Operation: 9*16=144, Resulting Numbers: [47, 144] Generated Node #3: [47, 144] from Operation: 9*16=144 Current State: 97:[47, 144], Operations: ['8*2=16', '9*16=144'] Exploring Operation: 144-47=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 45, 5, 97, 94 ]
53
[ "45+5=50", "97-94=3", "50+3=53" ]
Current State: 53:[45, 5, 97, 94], Operations: [] Exploring Operation: 45+5=50, Resulting Numbers: [97, 94, 50] Generated Node #2: [97, 94, 50] from Operation: 45+5=50 Current State: 53:[97, 94, 50], Operations: ['45+5=50'] Exploring Operation: 97-94=3, Resulting Numbers: [50, 3] Generated Node #3: [50, 3] from Operation: 97-94=3 Current State: 53:[50, 3], Operations: ['45+5=50', '97-94=3'] Exploring Operation: 50+3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 2, 71, 10, 77 ]
69
[ "71-10=61", "77+61=138", "138/2=69" ]
Current State: 69:[2, 71, 10, 77], Operations: [] Exploring Operation: 71-10=61, Resulting Numbers: [2, 77, 61] Generated Node #2: [2, 77, 61] from Operation: 71-10=61 Current State: 69:[2, 77, 61], Operations: ['71-10=61'] Exploring Operation: 77+61=138, Resulting Numbers: [2, 138] Generated Node #3: [2, 138] from Operation: 77+61=138 Current State: 69:[2, 138], Operations: ['71-10=61', '77+61=138'] Exploring Operation: 138/2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 97, 7, 28, 67 ]
51
[ "97-7=90", "67-28=39", "90-39=51" ]
Current State: 51:[97, 7, 28, 67], Operations: [] Exploring Operation: 97-7=90, Resulting Numbers: [28, 67, 90] Generated Node #2: [28, 67, 90] from Operation: 97-7=90 Current State: 51:[28, 67, 90], Operations: ['97-7=90'] Exploring Operation: 67-28=39, Resulting Numbers: [90, 39] Generated Node #3: [90, 39] from Operation: 67-28=39 Current State: 51:[90, 39], Operations: ['97-7=90', '67-28=39'] Exploring Operation: 90-39=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 71, 2, 72, 42 ]
22
[ "72-71=1", "42/2=21", "1+21=22" ]
Current State: 22:[71, 2, 72, 42], Operations: [] Exploring Operation: 72-71=1, Resulting Numbers: [2, 42, 1] Generated Node #2: [2, 42, 1] from Operation: 72-71=1 Current State: 22:[2, 42, 1], Operations: ['72-71=1'] Exploring Operation: 42/2=21, Resulting Numbers: [1, 21] Generated Node #3: [1, 21] from Operation: 42/2=21 Current State: 22:[1, 21], Operations: ['72-71=1', '42/2=21'] Exploring Operation: 1+21=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 58, 19, 29, 3 ]
45
[ "58+19=77", "29+3=32", "77-32=45" ]
Current State: 45:[58, 19, 29, 3], Operations: [] Exploring Operation: 58+19=77, Resulting Numbers: [29, 3, 77] Generated Node #2: [29, 3, 77] from Operation: 58+19=77 Current State: 45:[29, 3, 77], Operations: ['58+19=77'] Exploring Operation: 29+3=32, Resulting Numbers: [77, 32] Generated Node #3: [77, 32] from Operation: 29+3=32 Current State: 45:[77, 32], Operations: ['58+19=77', '29+3=32'] Exploring Operation: 77-32=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 4, 49, 46, 85 ]
40
[ "49+46=95", "95-85=10", "4*10=40" ]
Current State: 40:[4, 49, 46, 85], Operations: [] Exploring Operation: 49+46=95, Resulting Numbers: [4, 85, 95] Generated Node #2: [4, 85, 95] from Operation: 49+46=95 Current State: 40:[4, 85, 95], Operations: ['49+46=95'] Exploring Operation: 95-85=10, Resulting Numbers: [4, 10] Generated Node #3: [4, 10] from Operation: 95-85=10 Current State: 40:[4, 10], Operations: ['49+46=95', '95-85=10'] Exploring Operation: 4*10=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 84, 86, 22, 79 ]
70
[ "86-79=7", "22*7=154", "154-84=70" ]
Current State: 70:[84, 86, 22, 79], Operations: [] Exploring Operation: 86-79=7, Resulting Numbers: [84, 22, 7] Generated Node #2: [84, 22, 7] from Operation: 86-79=7 Current State: 70:[84, 22, 7], Operations: ['86-79=7'] Exploring Operation: 22*7=154, Resulting Numbers: [84, 154] Generated Node #3: [84, 154] from Operation: 22*7=154 Current State: 70:[84, 154], Operations: ['86-79=7', '22*7=154'] Exploring Operation: 154-84=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 70, 71, 82, 70 ]
11
[ "70+71=141", "82+70=152", "152-141=11" ]
Current State: 11:[70, 71, 82, 70], Operations: [] Exploring Operation: 70+71=141, Resulting Numbers: [82, 141] Generated Node #2: [82, 141] from Operation: 70+71=141 Current State: 11:[82, 141], Operations: ['70+71=141'] Exploring Operation: 82+70=152, Resulting Numbers: [141, 152] Generated Node #3: [141, 152] from Operation: 82+70=152 Current State: 11:[141, 152], Operations: ['70+71=141', '82+70=152'] Exploring Operation: 152-141=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 62, 75, 72, 80 ]
79
[ "80-62=18", "72/18=4", "75+4=79" ]
Current State: 79:[62, 75, 72, 80], Operations: [] Exploring Operation: 80-62=18, Resulting Numbers: [75, 72, 18] Generated Node #2: [75, 72, 18] from Operation: 80-62=18 Current State: 79:[75, 72, 18], Operations: ['80-62=18'] Exploring Operation: 72/18=4, Resulting Numbers: [75, 4] Generated Node #3: [75, 4] from Operation: 72/18=4 Current State: 79:[75, 4], Operations: ['80-62=18', '72/18=4'] Exploring Operation: 75+4=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 78, 26, 67, 41 ]
79
[ "67-26=41", "41/41=1", "78+1=79" ]
Current State: 79:[78, 26, 67, 41], Operations: [] Exploring Operation: 67-26=41, Resulting Numbers: [78, 41, 41] Generated Node #2: [78, 41, 41] from Operation: 67-26=41 Current State: 79:[78, 41, 41], Operations: ['67-26=41'] Exploring Operation: 41/41=1, Resulting Numbers: [78, 1] Generated Node #3: [78, 1] from Operation: 41/41=1 Current State: 79:[78, 1], Operations: ['67-26=41', '41/41=1'] Exploring Operation: 78+1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 64, 2, 47, 76 ]
99
[ "64*2=128", "76-47=29", "128-29=99" ]
Current State: 99:[64, 2, 47, 76], Operations: [] Exploring Operation: 64*2=128, Resulting Numbers: [47, 76, 128] Generated Node #2: [47, 76, 128] from Operation: 64*2=128 Current State: 99:[47, 76, 128], Operations: ['64*2=128'] Exploring Operation: 76-47=29, Resulting Numbers: [128, 29] Generated Node #3: [128, 29] from Operation: 76-47=29 Current State: 99:[128, 29], Operations: ['64*2=128', '76-47=29'] Exploring Operation: 128-29=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 3, 21, 34, 20 ]
36
[ "21-3=18", "34+20=54", "54-18=36" ]
Current State: 36:[3, 21, 34, 20], Operations: [] Exploring Operation: 21-3=18, Resulting Numbers: [34, 20, 18] Generated Node #2: [34, 20, 18] from Operation: 21-3=18 Current State: 36:[34, 20, 18], Operations: ['21-3=18'] Exploring Operation: 34+20=54, Resulting Numbers: [18, 54] Generated Node #3: [18, 54] from Operation: 34+20=54 Current State: 36:[18, 54], Operations: ['21-3=18', '34+20=54'] Exploring Operation: 54-18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 21, 39, 3, 25 ]
99
[ "21+25=46", "3*46=138", "138-39=99" ]
Current State: 99:[21, 39, 3, 25], Operations: [] Exploring Operation: 21+25=46, Resulting Numbers: [39, 3, 46] Generated Node #2: [39, 3, 46] from Operation: 21+25=46 Current State: 99:[39, 3, 46], Operations: ['21+25=46'] Exploring Operation: 3*46=138, Resulting Numbers: [39, 138] Generated Node #3: [39, 138] from Operation: 3*46=138 Current State: 99:[39, 138], Operations: ['21+25=46', '3*46=138'] Exploring Operation: 138-39=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 8, 79, 91, 75 ]
49
[ "91-75=16", "8*16=128", "128-79=49" ]
Current State: 49:[8, 79, 91, 75], Operations: [] Exploring Operation: 91-75=16, Resulting Numbers: [8, 79, 16] Generated Node #2: [8, 79, 16] from Operation: 91-75=16 Current State: 49:[8, 79, 16], Operations: ['91-75=16'] Exploring Operation: 8*16=128, Resulting Numbers: [79, 128] Generated Node #3: [79, 128] from Operation: 8*16=128 Current State: 49:[79, 128], Operations: ['91-75=16', '8*16=128'] Exploring Operation: 128-79=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 71, 30, 34, 77 ]
70
[ "71-30=41", "34+77=111", "111-41=70" ]
Current State: 70:[71, 30, 34, 77], Operations: [] Exploring Operation: 71-30=41, Resulting Numbers: [34, 77, 41] Generated Node #2: [34, 77, 41] from Operation: 71-30=41 Current State: 70:[34, 77, 41], Operations: ['71-30=41'] Exploring Operation: 34+77=111, Resulting Numbers: [41, 111] Generated Node #3: [41, 111] from Operation: 34+77=111 Current State: 70:[41, 111], Operations: ['71-30=41', '34+77=111'] Exploring Operation: 111-41=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 55, 79, 86, 74 ]
26
[ "55+79=134", "86+74=160", "160-134=26" ]
Current State: 26:[55, 79, 86, 74], Operations: [] Exploring Operation: 55+79=134, Resulting Numbers: [86, 74, 134] Generated Node #2: [86, 74, 134] from Operation: 55+79=134 Current State: 26:[86, 74, 134], Operations: ['55+79=134'] Exploring Operation: 86+74=160, Resulting Numbers: [134, 160] Generated Node #3: [134, 160] from Operation: 86+74=160 Current State: 26:[134, 160], Operations: ['55+79=134', '86+74=160'] Exploring Operation: 160-134=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 65, 1, 89, 65 ]
88
[ "65+1=66", "89+65=154", "154-66=88" ]
Current State: 88:[65, 1, 89, 65], Operations: [] Exploring Operation: 65+1=66, Resulting Numbers: [89, 66] Generated Node #2: [89, 66] from Operation: 65+1=66 Current State: 88:[89, 66], Operations: ['65+1=66'] Exploring Operation: 89+65=154, Resulting Numbers: [66, 154] Generated Node #3: [66, 154] from Operation: 89+65=154 Current State: 88:[66, 154], Operations: ['65+1=66', '89+65=154'] Exploring Operation: 154-66=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 18, 19, 8, 36 ]
23
[ "18*8=144", "144/36=4", "19+4=23" ]
Current State: 23:[18, 19, 8, 36], Operations: [] Exploring Operation: 18*8=144, Resulting Numbers: [19, 36, 144] Generated Node #2: [19, 36, 144] from Operation: 18*8=144 Current State: 23:[19, 36, 144], Operations: ['18*8=144'] Exploring Operation: 144/36=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 144/36=4 Current State: 23:[19, 4], Operations: ['18*8=144', '144/36=4'] Exploring Operation: 19+4=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 83, 91, 26, 55 ]
93
[ "83+91=174", "26+55=81", "174-81=93" ]
Current State: 93:[83, 91, 26, 55], Operations: [] Exploring Operation: 83+91=174, Resulting Numbers: [26, 55, 174] Generated Node #2: [26, 55, 174] from Operation: 83+91=174 Current State: 93:[26, 55, 174], Operations: ['83+91=174'] Exploring Operation: 26+55=81, Resulting Numbers: [174, 81] Generated Node #3: [174, 81] from Operation: 26+55=81 Current State: 93:[174, 81], Operations: ['83+91=174', '26+55=81'] Exploring Operation: 174-81=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 84, 27, 88, 13 ]
44
[ "84-27=57", "88+13=101", "101-57=44" ]
Current State: 44:[84, 27, 88, 13], Operations: [] Exploring Operation: 84-27=57, Resulting Numbers: [88, 13, 57] Generated Node #2: [88, 13, 57] from Operation: 84-27=57 Current State: 44:[88, 13, 57], Operations: ['84-27=57'] Exploring Operation: 88+13=101, Resulting Numbers: [57, 101] Generated Node #3: [57, 101] from Operation: 88+13=101 Current State: 44:[57, 101], Operations: ['84-27=57', '88+13=101'] Exploring Operation: 101-57=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 23, 2, 76, 54 ]
26
[ "76-23=53", "54/2=27", "53-27=26" ]
Current State: 26:[23, 2, 76, 54], Operations: [] Exploring Operation: 76-23=53, Resulting Numbers: [2, 54, 53] Generated Node #2: [2, 54, 53] from Operation: 76-23=53 Current State: 26:[2, 54, 53], Operations: ['76-23=53'] Exploring Operation: 54/2=27, Resulting Numbers: [53, 27] Generated Node #3: [53, 27] from Operation: 54/2=27 Current State: 26:[53, 27], Operations: ['76-23=53', '54/2=27'] Exploring Operation: 53-27=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 25, 7, 3, 80 ]
20
[ "25+3=28", "7*80=560", "560/28=20" ]
Current State: 20:[25, 7, 3, 80], Operations: [] Exploring Operation: 25+3=28, Resulting Numbers: [7, 80, 28] Generated Node #2: [7, 80, 28] from Operation: 25+3=28 Current State: 20:[7, 80, 28], Operations: ['25+3=28'] Exploring Operation: 7*80=560, Resulting Numbers: [28, 560] Generated Node #3: [28, 560] from Operation: 7*80=560 Current State: 20:[28, 560], Operations: ['25+3=28', '7*80=560'] Exploring Operation: 560/28=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 25, 5, 26, 31 ]
35
[ "25+5=30", "31-26=5", "30+5=35" ]
Current State: 35:[25, 5, 26, 31], Operations: [] Exploring Operation: 25+5=30, Resulting Numbers: [26, 31, 30] Generated Node #2: [26, 31, 30] from Operation: 25+5=30 Current State: 35:[26, 31, 30], Operations: ['25+5=30'] Exploring Operation: 31-26=5, Resulting Numbers: [30, 5] Generated Node #3: [30, 5] from Operation: 31-26=5 Current State: 35:[30, 5], Operations: ['25+5=30', '31-26=5'] Exploring Operation: 30+5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 67, 85, 92, 25 ]
86
[ "92-67=25", "25/25=1", "85+1=86" ]
Current State: 86:[67, 85, 92, 25], Operations: [] Exploring Operation: 92-67=25, Resulting Numbers: [85, 25, 25] Generated Node #2: [85, 25, 25] from Operation: 92-67=25 Current State: 86:[85, 25, 25], Operations: ['92-67=25'] Exploring Operation: 25/25=1, Resulting Numbers: [85, 1] Generated Node #3: [85, 1] from Operation: 25/25=1 Current State: 86:[85, 1], Operations: ['92-67=25', '25/25=1'] Exploring Operation: 85+1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 88, 44, 47, 83 ]
65
[ "88/44=2", "47+83=130", "130/2=65" ]
Current State: 65:[88, 44, 47, 83], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [47, 83, 2] Generated Node #2: [47, 83, 2] from Operation: 88/44=2 Current State: 65:[47, 83, 2], Operations: ['88/44=2'] Exploring Operation: 47+83=130, Resulting Numbers: [2, 130] Generated Node #3: [2, 130] from Operation: 47+83=130 Current State: 65:[2, 130], Operations: ['88/44=2', '47+83=130'] Exploring Operation: 130/2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 23, 1, 59, 10 ]
27
[ "23-1=22", "59-10=49", "49-22=27" ]
Current State: 27:[23, 1, 59, 10], Operations: [] Exploring Operation: 23-1=22, Resulting Numbers: [59, 10, 22] Generated Node #2: [59, 10, 22] from Operation: 23-1=22 Current State: 27:[59, 10, 22], Operations: ['23-1=22'] Exploring Operation: 59-10=49, Resulting Numbers: [22, 49] Generated Node #3: [22, 49] from Operation: 59-10=49 Current State: 27:[22, 49], Operations: ['23-1=22', '59-10=49'] Exploring Operation: 49-22=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 43, 28, 52, 7 ]
12
[ "43+28=71", "52+7=59", "71-59=12" ]
Current State: 12:[43, 28, 52, 7], Operations: [] Exploring Operation: 43+28=71, Resulting Numbers: [52, 7, 71] Generated Node #2: [52, 7, 71] from Operation: 43+28=71 Current State: 12:[52, 7, 71], Operations: ['43+28=71'] Exploring Operation: 52+7=59, Resulting Numbers: [71, 59] Generated Node #3: [71, 59] from Operation: 52+7=59 Current State: 12:[71, 59], Operations: ['43+28=71', '52+7=59'] Exploring Operation: 71-59=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4