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
[ 42, 18, 21, 28 ]
73
[ "42-18=24", "21+28=49", "24+49=73" ]
Current State: 73:[42, 18, 21, 28], Operations: [] Exploring Operation: 42-18=24, Resulting Numbers: [21, 28, 24] Generated Node #2: [21, 28, 24] from Operation: 42-18=24 Current State: 73:[21, 28, 24], Operations: ['42-18=24'] Exploring Operation: 21+28=49, Resulting Numbers: [24, 49] Generated Node #3: [24, 49] from Operation: 21+28=49 Current State: 73:[24, 49], Operations: ['42-18=24', '21+28=49'] Exploring Operation: 24+49=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 6, 19, 94, 22 ]
96
[ "22-19=3", "6/3=2", "94+2=96" ]
Current State: 96:[6, 19, 94, 22], Operations: [] Exploring Operation: 22-19=3, Resulting Numbers: [6, 94, 3] Generated Node #2: [6, 94, 3] from Operation: 22-19=3 Current State: 96:[6, 94, 3], Operations: ['22-19=3'] Exploring Operation: 6/3=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 6/3=2 Current State: 96:[94, 2], Operations: ['22-19=3', '6/3=2'] Exploring Operation: 94+2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 66, 53, 7, 4 ]
91
[ "66+53=119", "7*4=28", "119-28=91" ]
Current State: 91:[66, 53, 7, 4], Operations: [] Exploring Operation: 66+53=119, Resulting Numbers: [7, 4, 119] Generated Node #2: [7, 4, 119] from Operation: 66+53=119 Current State: 91:[7, 4, 119], Operations: ['66+53=119'] Exploring Operation: 7*4=28, Resulting Numbers: [119, 28] Generated Node #3: [119, 28] from Operation: 7*4=28 Current State: 91:[119, 28], Operations: ['66+53=119', '7*4=28'] Exploring Operation: 119-28=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 38, 96, 86, 12 ]
92
[ "86-38=48", "48/12=4", "96-4=92" ]
Current State: 92:[38, 96, 86, 12], Operations: [] Exploring Operation: 86-38=48, Resulting Numbers: [96, 12, 48] Generated Node #2: [96, 12, 48] from Operation: 86-38=48 Current State: 92:[96, 12, 48], Operations: ['86-38=48'] Exploring Operation: 48/12=4, Resulting Numbers: [96, 4] Generated Node #3: [96, 4] from Operation: 48/12=4 Current State: 92:[96, 4], Operations: ['86-38=48', '48/12=4'] Exploring Operation: 96-4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 45, 28, 13, 62 ]
32
[ "45-28=17", "62-13=49", "49-17=32" ]
Current State: 32:[45, 28, 13, 62], Operations: [] Exploring Operation: 45-28=17, Resulting Numbers: [13, 62, 17] Generated Node #2: [13, 62, 17] from Operation: 45-28=17 Current State: 32:[13, 62, 17], Operations: ['45-28=17'] Exploring Operation: 62-13=49, Resulting Numbers: [17, 49] Generated Node #3: [17, 49] from Operation: 62-13=49 Current State: 32:[17, 49], Operations: ['45-28=17', '62-13=49'] Exploring Operation: 49-17=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 76, 69, 90, 88 ]
94
[ "88-69=19", "76/19=4", "90+4=94" ]
Current State: 94:[76, 69, 90, 88], Operations: [] Exploring Operation: 88-69=19, Resulting Numbers: [76, 90, 19] Generated Node #2: [76, 90, 19] from Operation: 88-69=19 Current State: 94:[76, 90, 19], Operations: ['88-69=19'] Exploring Operation: 76/19=4, Resulting Numbers: [90, 4] Generated Node #3: [90, 4] from Operation: 76/19=4 Current State: 94:[90, 4], Operations: ['88-69=19', '76/19=4'] Exploring Operation: 90+4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 80, 14, 32, 3 ]
65
[ "80+14=94", "32-3=29", "94-29=65" ]
Current State: 65:[80, 14, 32, 3], Operations: [] Exploring Operation: 80+14=94, Resulting Numbers: [32, 3, 94] Generated Node #2: [32, 3, 94] from Operation: 80+14=94 Current State: 65:[32, 3, 94], Operations: ['80+14=94'] Exploring Operation: 32-3=29, Resulting Numbers: [94, 29] Generated Node #3: [94, 29] from Operation: 32-3=29 Current State: 65:[94, 29], Operations: ['80+14=94', '32-3=29'] Exploring Operation: 94-29=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 16, 11, 5, 63 ]
24
[ "16+63=79", "11*5=55", "79-55=24" ]
Current State: 24:[16, 11, 5, 63], Operations: [] Exploring Operation: 16+63=79, Resulting Numbers: [11, 5, 79] Generated Node #2: [11, 5, 79] from Operation: 16+63=79 Current State: 24:[11, 5, 79], Operations: ['16+63=79'] Exploring Operation: 11*5=55, Resulting Numbers: [79, 55] Generated Node #3: [79, 55] from Operation: 11*5=55 Current State: 24:[79, 55], Operations: ['16+63=79', '11*5=55'] Exploring Operation: 79-55=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 49, 51, 87, 92 ]
97
[ "51-49=2", "92*2=184", "184-87=97" ]
Current State: 97:[49, 51, 87, 92], Operations: [] Exploring Operation: 51-49=2, Resulting Numbers: [87, 92, 2] Generated Node #2: [87, 92, 2] from Operation: 51-49=2 Current State: 97:[87, 92, 2], Operations: ['51-49=2'] Exploring Operation: 92*2=184, Resulting Numbers: [87, 184] Generated Node #3: [87, 184] from Operation: 92*2=184 Current State: 97:[87, 184], Operations: ['51-49=2', '92*2=184'] Exploring Operation: 184-87=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 58, 60, 30, 75 ]
35
[ "58-30=28", "75*28=2100", "2100/60=35" ]
Current State: 35:[58, 60, 30, 75], Operations: [] Exploring Operation: 58-30=28, Resulting Numbers: [60, 75, 28] Generated Node #2: [60, 75, 28] from Operation: 58-30=28 Current State: 35:[60, 75, 28], Operations: ['58-30=28'] Exploring Operation: 75*28=2100, Resulting Numbers: [60, 2100] Generated Node #3: [60, 2100] from Operation: 75*28=2100 Current State: 35:[60, 2100], Operations: ['58-30=28', '75*28=2100'] Exploring Operation: 2100/60=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 33, 36, 58, 33 ]
93
[ "33/33=1", "36+58=94", "94-1=93" ]
Current State: 93:[33, 36, 58, 33], Operations: [] Exploring Operation: 33/33=1, Resulting Numbers: [36, 58, 1] Generated Node #2: [36, 58, 1] from Operation: 33/33=1 Current State: 93:[36, 58, 1], Operations: ['33/33=1'] Exploring Operation: 36+58=94, Resulting Numbers: [1, 94] Generated Node #3: [1, 94] from Operation: 36+58=94 Current State: 93:[1, 94], Operations: ['33/33=1', '36+58=94'] Exploring Operation: 94-1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 97, 26, 66, 48 ]
53
[ "97-26=71", "66-48=18", "71-18=53" ]
Current State: 53:[97, 26, 66, 48], Operations: [] Exploring Operation: 97-26=71, Resulting Numbers: [66, 48, 71] Generated Node #2: [66, 48, 71] from Operation: 97-26=71 Current State: 53:[66, 48, 71], Operations: ['97-26=71'] Exploring Operation: 66-48=18, Resulting Numbers: [71, 18] Generated Node #3: [71, 18] from Operation: 66-48=18 Current State: 53:[71, 18], Operations: ['97-26=71', '66-48=18'] Exploring Operation: 71-18=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 30, 7, 66, 2 ]
21
[ "66/2=33", "33-30=3", "7*3=21" ]
Current State: 21:[30, 7, 66, 2], Operations: [] Exploring Operation: 66/2=33, Resulting Numbers: [30, 7, 33] Generated Node #2: [30, 7, 33] from Operation: 66/2=33 Current State: 21:[30, 7, 33], Operations: ['66/2=33'] Exploring Operation: 33-30=3, Resulting Numbers: [7, 3] Generated Node #3: [7, 3] from Operation: 33-30=3 Current State: 21:[7, 3], Operations: ['66/2=33', '33-30=3'] Exploring Operation: 7*3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 74, 12, 60, 76 ]
18
[ "76-74=2", "60/2=30", "30-12=18" ]
Current State: 18:[74, 12, 60, 76], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [12, 60, 2] Generated Node #2: [12, 60, 2] from Operation: 76-74=2 Current State: 18:[12, 60, 2], Operations: ['76-74=2'] Exploring Operation: 60/2=30, Resulting Numbers: [12, 30] Generated Node #3: [12, 30] from Operation: 60/2=30 Current State: 18:[12, 30], Operations: ['76-74=2', '60/2=30'] Exploring Operation: 30-12=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 42, 14, 56, 4 ]
91
[ "42*14=588", "588/4=147", "147-56=91" ]
Current State: 91:[42, 14, 56, 4], Operations: [] Exploring Operation: 42*14=588, Resulting Numbers: [56, 4, 588] Generated Node #2: [56, 4, 588] from Operation: 42*14=588 Current State: 91:[56, 4, 588], Operations: ['42*14=588'] Exploring Operation: 588/4=147, Resulting Numbers: [56, 147] Generated Node #3: [56, 147] from Operation: 588/4=147 Current State: 91:[56, 147], Operations: ['42*14=588', '588/4=147'] Exploring Operation: 147-56=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 33, 52, 60, 60 ]
18
[ "52-33=19", "60/60=1", "19-1=18" ]
Current State: 18:[33, 52, 60, 60], Operations: [] Exploring Operation: 52-33=19, Resulting Numbers: [60, 60, 19] Generated Node #2: [60, 60, 19] from Operation: 52-33=19 Current State: 18:[60, 60, 19], Operations: ['52-33=19'] Exploring Operation: 60/60=1, Resulting Numbers: [19, 1] Generated Node #3: [19, 1] from Operation: 60/60=1 Current State: 18:[19, 1], Operations: ['52-33=19', '60/60=1'] Exploring Operation: 19-1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 10, 8, 69, 70 ]
34
[ "10-8=2", "70/2=35", "69-35=34" ]
Current State: 34:[10, 8, 69, 70], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [69, 70, 2] Generated Node #2: [69, 70, 2] from Operation: 10-8=2 Current State: 34:[69, 70, 2], Operations: ['10-8=2'] Exploring Operation: 70/2=35, Resulting Numbers: [69, 35] Generated Node #3: [69, 35] from Operation: 70/2=35 Current State: 34:[69, 35], Operations: ['10-8=2', '70/2=35'] Exploring Operation: 69-35=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 46, 47, 46, 75 ]
47
[ "46-46=0", "75*0=0", "47+0=47" ]
Current State: 47:[46, 47, 46, 75], Operations: [] Exploring Operation: 46-46=0, Resulting Numbers: [47, 75, 0] Generated Node #2: [47, 75, 0] from Operation: 46-46=0 Current State: 47:[47, 75, 0], Operations: ['46-46=0'] Exploring Operation: 75*0=0, Resulting Numbers: [47, 0] Generated Node #3: [47, 0] from Operation: 75*0=0 Current State: 47:[47, 0], Operations: ['46-46=0', '75*0=0'] Exploring Operation: 47+0=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 79, 59, 34, 89 ]
75
[ "79-59=20", "89-34=55", "20+55=75" ]
Current State: 75:[79, 59, 34, 89], Operations: [] Exploring Operation: 79-59=20, Resulting Numbers: [34, 89, 20] Generated Node #2: [34, 89, 20] from Operation: 79-59=20 Current State: 75:[34, 89, 20], Operations: ['79-59=20'] Exploring Operation: 89-34=55, Resulting Numbers: [20, 55] Generated Node #3: [20, 55] from Operation: 89-34=55 Current State: 75:[20, 55], Operations: ['79-59=20', '89-34=55'] Exploring Operation: 20+55=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 35, 12, 68, 55 ]
100
[ "35-12=23", "68+55=123", "123-23=100" ]
Current State: 100:[35, 12, 68, 55], Operations: [] Exploring Operation: 35-12=23, Resulting Numbers: [68, 55, 23] Generated Node #2: [68, 55, 23] from Operation: 35-12=23 Current State: 100:[68, 55, 23], Operations: ['35-12=23'] Exploring Operation: 68+55=123, Resulting Numbers: [23, 123] Generated Node #3: [23, 123] from Operation: 68+55=123 Current State: 100:[23, 123], Operations: ['35-12=23', '68+55=123'] Exploring Operation: 123-23=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 87, 93, 5, 52 ]
51
[ "93-87=6", "5+52=57", "57-6=51" ]
Current State: 51:[87, 93, 5, 52], Operations: [] Exploring Operation: 93-87=6, Resulting Numbers: [5, 52, 6] Generated Node #2: [5, 52, 6] from Operation: 93-87=6 Current State: 51:[5, 52, 6], Operations: ['93-87=6'] Exploring Operation: 5+52=57, Resulting Numbers: [6, 57] Generated Node #3: [6, 57] from Operation: 5+52=57 Current State: 51:[6, 57], Operations: ['93-87=6', '5+52=57'] Exploring Operation: 57-6=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 81, 70, 78, 75 ]
15
[ "81-78=3", "75-70=5", "3*5=15" ]
Current State: 15:[81, 70, 78, 75], Operations: [] Exploring Operation: 81-78=3, Resulting Numbers: [70, 75, 3] Generated Node #2: [70, 75, 3] from Operation: 81-78=3 Current State: 15:[70, 75, 3], Operations: ['81-78=3'] Exploring Operation: 75-70=5, Resulting Numbers: [3, 5] Generated Node #3: [3, 5] from Operation: 75-70=5 Current State: 15:[3, 5], Operations: ['81-78=3', '75-70=5'] Exploring Operation: 3*5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 22, 77, 36, 3 ]
67
[ "77-22=55", "36/3=12", "55+12=67" ]
Current State: 67:[22, 77, 36, 3], Operations: [] Exploring Operation: 77-22=55, Resulting Numbers: [36, 3, 55] Generated Node #2: [36, 3, 55] from Operation: 77-22=55 Current State: 67:[36, 3, 55], Operations: ['77-22=55'] Exploring Operation: 36/3=12, Resulting Numbers: [55, 12] Generated Node #3: [55, 12] from Operation: 36/3=12 Current State: 67:[55, 12], Operations: ['77-22=55', '36/3=12'] Exploring Operation: 55+12=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 27, 8, 6, 23 ]
56
[ "27-23=4", "8+6=14", "4*14=56" ]
Current State: 56:[27, 8, 6, 23], Operations: [] Exploring Operation: 27-23=4, Resulting Numbers: [8, 6, 4] Generated Node #2: [8, 6, 4] from Operation: 27-23=4 Current State: 56:[8, 6, 4], Operations: ['27-23=4'] Exploring Operation: 8+6=14, Resulting Numbers: [4, 14] Generated Node #3: [4, 14] from Operation: 8+6=14 Current State: 56:[4, 14], Operations: ['27-23=4', '8+6=14'] Exploring Operation: 4*14=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 3, 16, 29, 26 ]
68
[ "16-3=13", "29+26=55", "13+55=68" ]
Current State: 68:[3, 16, 29, 26], Operations: [] Exploring Operation: 16-3=13, Resulting Numbers: [29, 26, 13] Generated Node #2: [29, 26, 13] from Operation: 16-3=13 Current State: 68:[29, 26, 13], Operations: ['16-3=13'] Exploring Operation: 29+26=55, Resulting Numbers: [13, 55] Generated Node #3: [13, 55] from Operation: 29+26=55 Current State: 68:[13, 55], Operations: ['16-3=13', '29+26=55'] Exploring Operation: 13+55=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 50, 70, 75, 11 ]
56
[ "50+70=120", "75-11=64", "120-64=56" ]
Current State: 56:[50, 70, 75, 11], Operations: [] Exploring Operation: 50+70=120, Resulting Numbers: [75, 11, 120] Generated Node #2: [75, 11, 120] from Operation: 50+70=120 Current State: 56:[75, 11, 120], Operations: ['50+70=120'] Exploring Operation: 75-11=64, Resulting Numbers: [120, 64] Generated Node #3: [120, 64] from Operation: 75-11=64 Current State: 56:[120, 64], Operations: ['50+70=120', '75-11=64'] Exploring Operation: 120-64=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 31, 53, 69, 64 ]
79
[ "31+53=84", "69-64=5", "84-5=79" ]
Current State: 79:[31, 53, 69, 64], Operations: [] Exploring Operation: 31+53=84, Resulting Numbers: [69, 64, 84] Generated Node #2: [69, 64, 84] from Operation: 31+53=84 Current State: 79:[69, 64, 84], Operations: ['31+53=84'] Exploring Operation: 69-64=5, Resulting Numbers: [84, 5] Generated Node #3: [84, 5] from Operation: 69-64=5 Current State: 79:[84, 5], Operations: ['31+53=84', '69-64=5'] Exploring Operation: 84-5=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 36, 4, 35, 60 ]
86
[ "36/4=9", "35+60=95", "95-9=86" ]
Current State: 86:[36, 4, 35, 60], Operations: [] Exploring Operation: 36/4=9, Resulting Numbers: [35, 60, 9] Generated Node #2: [35, 60, 9] from Operation: 36/4=9 Current State: 86:[35, 60, 9], Operations: ['36/4=9'] Exploring Operation: 35+60=95, Resulting Numbers: [9, 95] Generated Node #3: [9, 95] from Operation: 35+60=95 Current State: 86:[9, 95], Operations: ['36/4=9', '35+60=95'] Exploring Operation: 95-9=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 47, 22, 66, 57 ]
13
[ "57-47=10", "66/22=3", "10+3=13" ]
Current State: 13:[47, 22, 66, 57], Operations: [] Exploring Operation: 57-47=10, Resulting Numbers: [22, 66, 10] Generated Node #2: [22, 66, 10] from Operation: 57-47=10 Current State: 13:[22, 66, 10], Operations: ['57-47=10'] Exploring Operation: 66/22=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 66/22=3 Current State: 13:[10, 3], Operations: ['57-47=10', '66/22=3'] Exploring Operation: 10+3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 79, 94, 2, 47 ]
79
[ "79+94=173", "2*47=94", "173-94=79" ]
Current State: 79:[79, 94, 2, 47], Operations: [] Exploring Operation: 79+94=173, Resulting Numbers: [2, 47, 173] Generated Node #2: [2, 47, 173] from Operation: 79+94=173 Current State: 79:[2, 47, 173], Operations: ['79+94=173'] Exploring Operation: 2*47=94, Resulting Numbers: [173, 94] Generated Node #3: [173, 94] from Operation: 2*47=94 Current State: 79:[173, 94], Operations: ['79+94=173', '2*47=94'] Exploring Operation: 173-94=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 83, 74, 32, 51 ]
74
[ "83+74=157", "32+51=83", "157-83=74" ]
Current State: 74:[83, 74, 32, 51], Operations: [] Exploring Operation: 83+74=157, Resulting Numbers: [32, 51, 157] Generated Node #2: [32, 51, 157] from Operation: 83+74=157 Current State: 74:[32, 51, 157], Operations: ['83+74=157'] Exploring Operation: 32+51=83, Resulting Numbers: [157, 83] Generated Node #3: [157, 83] from Operation: 32+51=83 Current State: 74:[157, 83], Operations: ['83+74=157', '32+51=83'] Exploring Operation: 157-83=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 59, 75, 84, 63 ]
52
[ "84-75=9", "63/9=7", "59-7=52" ]
Current State: 52:[59, 75, 84, 63], Operations: [] Exploring Operation: 84-75=9, Resulting Numbers: [59, 63, 9] Generated Node #2: [59, 63, 9] from Operation: 84-75=9 Current State: 52:[59, 63, 9], Operations: ['84-75=9'] Exploring Operation: 63/9=7, Resulting Numbers: [59, 7] Generated Node #3: [59, 7] from Operation: 63/9=7 Current State: 52:[59, 7], Operations: ['84-75=9', '63/9=7'] Exploring Operation: 59-7=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 64, 48, 88, 43 ]
67
[ "64+48=112", "88-43=45", "112-45=67" ]
Current State: 67:[64, 48, 88, 43], Operations: [] Exploring Operation: 64+48=112, Resulting Numbers: [88, 43, 112] Generated Node #2: [88, 43, 112] from Operation: 64+48=112 Current State: 67:[88, 43, 112], Operations: ['64+48=112'] Exploring Operation: 88-43=45, Resulting Numbers: [112, 45] Generated Node #3: [112, 45] from Operation: 88-43=45 Current State: 67:[112, 45], Operations: ['64+48=112', '88-43=45'] Exploring Operation: 112-45=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 43, 52, 83, 71 ]
70
[ "43*83=3569", "71+3569=3640", "3640/52=70" ]
Current State: 70:[43, 52, 83, 71], Operations: [] Exploring Operation: 43*83=3569, Resulting Numbers: [52, 71, 3569] Generated Node #2: [52, 71, 3569] from Operation: 43*83=3569 Current State: 70:[52, 71, 3569], Operations: ['43*83=3569'] Exploring Operation: 71+3569=3640, Resulting Numbers: [52, 3640] Generated Node #3: [52, 3640] from Operation: 71+3569=3640 Current State: 70:[52, 3640], Operations: ['43*83=3569', '71+3569=3640'] Exploring Operation: 3640/52=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 79, 45, 20, 90 ]
61
[ "79-20=59", "90/45=2", "59+2=61" ]
Current State: 61:[79, 45, 20, 90], Operations: [] Exploring Operation: 79-20=59, Resulting Numbers: [45, 90, 59] Generated Node #2: [45, 90, 59] from Operation: 79-20=59 Current State: 61:[45, 90, 59], Operations: ['79-20=59'] Exploring Operation: 90/45=2, Resulting Numbers: [59, 2] Generated Node #3: [59, 2] from Operation: 90/45=2 Current State: 61:[59, 2], Operations: ['79-20=59', '90/45=2'] Exploring Operation: 59+2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 30, 91, 90, 30 ]
93
[ "90-30=60", "60/30=2", "91+2=93" ]
Current State: 93:[30, 91, 90, 30], Operations: [] Exploring Operation: 90-30=60, Resulting Numbers: [91, 60] Generated Node #2: [91, 60] from Operation: 90-30=60 Current State: 93:[91, 60], Operations: ['90-30=60'] Exploring Operation: 60/30=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 60/30=2 Current State: 93:[91, 2], Operations: ['90-30=60', '60/30=2'] Exploring Operation: 91+2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 20, 28, 66, 49 ]
31
[ "20+28=48", "66-49=17", "48-17=31" ]
Current State: 31:[20, 28, 66, 49], Operations: [] Exploring Operation: 20+28=48, Resulting Numbers: [66, 49, 48] Generated Node #2: [66, 49, 48] from Operation: 20+28=48 Current State: 31:[66, 49, 48], Operations: ['20+28=48'] Exploring Operation: 66-49=17, Resulting Numbers: [48, 17] Generated Node #3: [48, 17] from Operation: 66-49=17 Current State: 31:[48, 17], Operations: ['20+28=48', '66-49=17'] Exploring Operation: 48-17=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 2, 26, 93, 70 ]
99
[ "26+70=96", "2*96=192", "192-93=99" ]
Current State: 99:[2, 26, 93, 70], Operations: [] Exploring Operation: 26+70=96, Resulting Numbers: [2, 93, 96] Generated Node #2: [2, 93, 96] from Operation: 26+70=96 Current State: 99:[2, 93, 96], Operations: ['26+70=96'] Exploring Operation: 2*96=192, Resulting Numbers: [93, 192] Generated Node #3: [93, 192] from Operation: 2*96=192 Current State: 99:[93, 192], Operations: ['26+70=96', '2*96=192'] Exploring Operation: 192-93=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 78, 38, 61, 90 ]
69
[ "78-38=40", "90-61=29", "40+29=69" ]
Current State: 69:[78, 38, 61, 90], Operations: [] Exploring Operation: 78-38=40, Resulting Numbers: [61, 90, 40] Generated Node #2: [61, 90, 40] from Operation: 78-38=40 Current State: 69:[61, 90, 40], Operations: ['78-38=40'] Exploring Operation: 90-61=29, Resulting Numbers: [40, 29] Generated Node #3: [40, 29] from Operation: 90-61=29 Current State: 69:[40, 29], Operations: ['78-38=40', '90-61=29'] Exploring Operation: 40+29=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 77, 93, 51, 85 ]
53
[ "77+93=170", "170/85=2", "51+2=53" ]
Current State: 53:[77, 93, 51, 85], Operations: [] Exploring Operation: 77+93=170, Resulting Numbers: [51, 85, 170] Generated Node #2: [51, 85, 170] from Operation: 77+93=170 Current State: 53:[51, 85, 170], Operations: ['77+93=170'] Exploring Operation: 170/85=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 170/85=2 Current State: 53:[51, 2], Operations: ['77+93=170', '170/85=2'] Exploring Operation: 51+2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 36, 99, 50, 53 ]
66
[ "99-36=63", "53-50=3", "63+3=66" ]
Current State: 66:[36, 99, 50, 53], Operations: [] Exploring Operation: 99-36=63, Resulting Numbers: [50, 53, 63] Generated Node #2: [50, 53, 63] from Operation: 99-36=63 Current State: 66:[50, 53, 63], Operations: ['99-36=63'] Exploring Operation: 53-50=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 53-50=3 Current State: 66:[63, 3], Operations: ['99-36=63', '53-50=3'] Exploring Operation: 63+3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 23, 69, 16, 41 ]
65
[ "23+41=64", "64/16=4", "69-4=65" ]
Current State: 65:[23, 69, 16, 41], Operations: [] Exploring Operation: 23+41=64, Resulting Numbers: [69, 16, 64] Generated Node #2: [69, 16, 64] from Operation: 23+41=64 Current State: 65:[69, 16, 64], Operations: ['23+41=64'] Exploring Operation: 64/16=4, Resulting Numbers: [69, 4] Generated Node #3: [69, 4] from Operation: 64/16=4 Current State: 65:[69, 4], Operations: ['23+41=64', '64/16=4'] Exploring Operation: 69-4=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 82, 26, 62, 30 ]
97
[ "82*30=2460", "62+2460=2522", "2522/26=97" ]
Current State: 97:[82, 26, 62, 30], Operations: [] Exploring Operation: 82*30=2460, Resulting Numbers: [26, 62, 2460] Generated Node #2: [26, 62, 2460] from Operation: 82*30=2460 Current State: 97:[26, 62, 2460], Operations: ['82*30=2460'] Exploring Operation: 62+2460=2522, Resulting Numbers: [26, 2522] Generated Node #3: [26, 2522] from Operation: 62+2460=2522 Current State: 97:[26, 2522], Operations: ['82*30=2460', '62+2460=2522'] Exploring Operation: 2522/26=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 36, 46, 56, 76 ]
62
[ "36+46=82", "76-56=20", "82-20=62" ]
Current State: 62:[36, 46, 56, 76], Operations: [] Exploring Operation: 36+46=82, Resulting Numbers: [56, 76, 82] Generated Node #2: [56, 76, 82] from Operation: 36+46=82 Current State: 62:[56, 76, 82], Operations: ['36+46=82'] Exploring Operation: 76-56=20, Resulting Numbers: [82, 20] Generated Node #3: [82, 20] from Operation: 76-56=20 Current State: 62:[82, 20], Operations: ['36+46=82', '76-56=20'] Exploring Operation: 82-20=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 87, 29, 70, 22 ]
24
[ "87+29=116", "70+22=92", "116-92=24" ]
Current State: 24:[87, 29, 70, 22], Operations: [] Exploring Operation: 87+29=116, Resulting Numbers: [70, 22, 116] Generated Node #2: [70, 22, 116] from Operation: 87+29=116 Current State: 24:[70, 22, 116], Operations: ['87+29=116'] Exploring Operation: 70+22=92, Resulting Numbers: [116, 92] Generated Node #3: [116, 92] from Operation: 70+22=92 Current State: 24:[116, 92], Operations: ['87+29=116', '70+22=92'] Exploring Operation: 116-92=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 29, 61, 76, 84 ]
81
[ "61+84=145", "145/29=5", "76+5=81" ]
Current State: 81:[29, 61, 76, 84], Operations: [] Exploring Operation: 61+84=145, Resulting Numbers: [29, 76, 145] Generated Node #2: [29, 76, 145] from Operation: 61+84=145 Current State: 81:[29, 76, 145], Operations: ['61+84=145'] Exploring Operation: 145/29=5, Resulting Numbers: [76, 5] Generated Node #3: [76, 5] from Operation: 145/29=5 Current State: 81:[76, 5], Operations: ['61+84=145', '145/29=5'] Exploring Operation: 76+5=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 48, 55, 11, 8 ]
81
[ "55-48=7", "11*8=88", "88-7=81" ]
Current State: 81:[48, 55, 11, 8], Operations: [] Exploring Operation: 55-48=7, Resulting Numbers: [11, 8, 7] Generated Node #2: [11, 8, 7] from Operation: 55-48=7 Current State: 81:[11, 8, 7], Operations: ['55-48=7'] Exploring Operation: 11*8=88, Resulting Numbers: [7, 88] Generated Node #3: [7, 88] from Operation: 11*8=88 Current State: 81:[7, 88], Operations: ['55-48=7', '11*8=88'] Exploring Operation: 88-7=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 87, 18, 1, 49 ]
55
[ "87+18=105", "1+49=50", "105-50=55" ]
Current State: 55:[87, 18, 1, 49], Operations: [] Exploring Operation: 87+18=105, Resulting Numbers: [1, 49, 105] Generated Node #2: [1, 49, 105] from Operation: 87+18=105 Current State: 55:[1, 49, 105], Operations: ['87+18=105'] Exploring Operation: 1+49=50, Resulting Numbers: [105, 50] Generated Node #3: [105, 50] from Operation: 1+49=50 Current State: 55:[105, 50], Operations: ['87+18=105', '1+49=50'] Exploring Operation: 105-50=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 24, 30, 59, 33 ]
42
[ "24*59=1416", "1416-30=1386", "1386/33=42" ]
Current State: 42:[24, 30, 59, 33], Operations: [] Exploring Operation: 24*59=1416, Resulting Numbers: [30, 33, 1416] Generated Node #2: [30, 33, 1416] from Operation: 24*59=1416 Current State: 42:[30, 33, 1416], Operations: ['24*59=1416'] Exploring Operation: 1416-30=1386, Resulting Numbers: [33, 1386] Generated Node #3: [33, 1386] from Operation: 1416-30=1386 Current State: 42:[33, 1386], Operations: ['24*59=1416', '1416-30=1386'] Exploring Operation: 1386/33=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 20, 6, 7, 8 ]
30
[ "20+6=26", "7*8=56", "56-26=30" ]
Current State: 30:[20, 6, 7, 8], Operations: [] Exploring Operation: 20+6=26, Resulting Numbers: [7, 8, 26] Generated Node #2: [7, 8, 26] from Operation: 20+6=26 Current State: 30:[7, 8, 26], Operations: ['20+6=26'] Exploring Operation: 7*8=56, Resulting Numbers: [26, 56] Generated Node #3: [26, 56] from Operation: 7*8=56 Current State: 30:[26, 56], Operations: ['20+6=26', '7*8=56'] Exploring Operation: 56-26=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 67, 93, 91, 3 ]
67
[ "93-91=2", "3-2=1", "67*1=67" ]
Current State: 67:[67, 93, 91, 3], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [67, 3, 2] Generated Node #2: [67, 3, 2] from Operation: 93-91=2 Current State: 67:[67, 3, 2], Operations: ['93-91=2'] Exploring Operation: 3-2=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 3-2=1 Current State: 67:[67, 1], Operations: ['93-91=2', '3-2=1'] Exploring Operation: 67*1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 5, 90, 23, 16 ]
92
[ "90-5=85", "23-16=7", "85+7=92" ]
Current State: 92:[5, 90, 23, 16], Operations: [] Exploring Operation: 90-5=85, Resulting Numbers: [23, 16, 85] Generated Node #2: [23, 16, 85] from Operation: 90-5=85 Current State: 92:[23, 16, 85], Operations: ['90-5=85'] Exploring Operation: 23-16=7, Resulting Numbers: [85, 7] Generated Node #3: [85, 7] from Operation: 23-16=7 Current State: 92:[85, 7], Operations: ['90-5=85', '23-16=7'] Exploring Operation: 85+7=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 57, 73, 97, 92 ]
94
[ "92-73=19", "57/19=3", "97-3=94" ]
Current State: 94:[57, 73, 97, 92], Operations: [] Exploring Operation: 92-73=19, Resulting Numbers: [57, 97, 19] Generated Node #2: [57, 97, 19] from Operation: 92-73=19 Current State: 94:[57, 97, 19], Operations: ['92-73=19'] Exploring Operation: 57/19=3, Resulting Numbers: [97, 3] Generated Node #3: [97, 3] from Operation: 57/19=3 Current State: 94:[97, 3], Operations: ['92-73=19', '57/19=3'] Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 8, 92, 65, 70 ]
89
[ "92-8=84", "70-65=5", "84+5=89" ]
Current State: 89:[8, 92, 65, 70], Operations: [] Exploring Operation: 92-8=84, Resulting Numbers: [65, 70, 84] Generated Node #2: [65, 70, 84] from Operation: 92-8=84 Current State: 89:[65, 70, 84], Operations: ['92-8=84'] Exploring Operation: 70-65=5, Resulting Numbers: [84, 5] Generated Node #3: [84, 5] from Operation: 70-65=5 Current State: 89:[84, 5], Operations: ['92-8=84', '70-65=5'] Exploring Operation: 84+5=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 30, 85, 88, 60 ]
90
[ "60-30=30", "88-85=3", "30*3=90" ]
Current State: 90:[30, 85, 88, 60], Operations: [] Exploring Operation: 60-30=30, Resulting Numbers: [85, 88, 30] Generated Node #2: [85, 88, 30] from Operation: 60-30=30 Current State: 90:[85, 88, 30], Operations: ['60-30=30'] Exploring Operation: 88-85=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 88-85=3 Current State: 90:[30, 3], Operations: ['60-30=30', '88-85=3'] Exploring Operation: 30*3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 40, 5, 80, 83 ]
17
[ "80/40=2", "83+2=85", "85/5=17" ]
Current State: 17:[40, 5, 80, 83], Operations: [] Exploring Operation: 80/40=2, Resulting Numbers: [5, 83, 2] Generated Node #2: [5, 83, 2] from Operation: 80/40=2 Current State: 17:[5, 83, 2], Operations: ['80/40=2'] Exploring Operation: 83+2=85, Resulting Numbers: [5, 85] Generated Node #3: [5, 85] from Operation: 83+2=85 Current State: 17:[5, 85], Operations: ['80/40=2', '83+2=85'] Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 40, 4, 41, 6 ]
18
[ "40+4=44", "44-41=3", "6*3=18" ]
Current State: 18:[40, 4, 41, 6], Operations: [] Exploring Operation: 40+4=44, Resulting Numbers: [41, 6, 44] Generated Node #2: [41, 6, 44] from Operation: 40+4=44 Current State: 18:[41, 6, 44], Operations: ['40+4=44'] Exploring Operation: 44-41=3, Resulting Numbers: [6, 3] Generated Node #3: [6, 3] from Operation: 44-41=3 Current State: 18:[6, 3], Operations: ['40+4=44', '44-41=3'] Exploring Operation: 6*3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 76, 8, 11, 61 ]
32
[ "76-11=65", "65-61=4", "8*4=32" ]
Current State: 32:[76, 8, 11, 61], Operations: [] Exploring Operation: 76-11=65, Resulting Numbers: [8, 61, 65] Generated Node #2: [8, 61, 65] from Operation: 76-11=65 Current State: 32:[8, 61, 65], Operations: ['76-11=65'] Exploring Operation: 65-61=4, Resulting Numbers: [8, 4] Generated Node #3: [8, 4] from Operation: 65-61=4 Current State: 32:[8, 4], Operations: ['76-11=65', '65-61=4'] Exploring Operation: 8*4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 62, 8, 58, 87 ]
99
[ "62+8=70", "87-58=29", "70+29=99" ]
Current State: 99:[62, 8, 58, 87], Operations: [] Exploring Operation: 62+8=70, Resulting Numbers: [58, 87, 70] Generated Node #2: [58, 87, 70] from Operation: 62+8=70 Current State: 99:[58, 87, 70], Operations: ['62+8=70'] Exploring Operation: 87-58=29, Resulting Numbers: [70, 29] Generated Node #3: [70, 29] from Operation: 87-58=29 Current State: 99:[70, 29], Operations: ['62+8=70', '87-58=29'] Exploring Operation: 70+29=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 89, 21, 49, 7 ]
46
[ "89+49=138", "21/7=3", "138/3=46" ]
Current State: 46:[89, 21, 49, 7], Operations: [] Exploring Operation: 89+49=138, Resulting Numbers: [21, 7, 138] Generated Node #2: [21, 7, 138] from Operation: 89+49=138 Current State: 46:[21, 7, 138], Operations: ['89+49=138'] Exploring Operation: 21/7=3, Resulting Numbers: [138, 3] Generated Node #3: [138, 3] from Operation: 21/7=3 Current State: 46:[138, 3], Operations: ['89+49=138', '21/7=3'] Exploring Operation: 138/3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 41, 55, 3, 14 ]
54
[ "41+55=96", "3*14=42", "96-42=54" ]
Current State: 54:[41, 55, 3, 14], Operations: [] Exploring Operation: 41+55=96, Resulting Numbers: [3, 14, 96] Generated Node #2: [3, 14, 96] from Operation: 41+55=96 Current State: 54:[3, 14, 96], Operations: ['41+55=96'] Exploring Operation: 3*14=42, Resulting Numbers: [96, 42] Generated Node #3: [96, 42] from Operation: 3*14=42 Current State: 54:[96, 42], Operations: ['41+55=96', '3*14=42'] Exploring Operation: 96-42=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 25, 56, 13, 91 ]
33
[ "56*13=728", "728/91=8", "25+8=33" ]
Current State: 33:[25, 56, 13, 91], Operations: [] Exploring Operation: 56*13=728, Resulting Numbers: [25, 91, 728] Generated Node #2: [25, 91, 728] from Operation: 56*13=728 Current State: 33:[25, 91, 728], Operations: ['56*13=728'] Exploring Operation: 728/91=8, Resulting Numbers: [25, 8] Generated Node #3: [25, 8] from Operation: 728/91=8 Current State: 33:[25, 8], Operations: ['56*13=728', '728/91=8'] Exploring Operation: 25+8=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 81, 63, 34, 64 ]
80
[ "81-63=18", "34+64=98", "98-18=80" ]
Current State: 80:[81, 63, 34, 64], Operations: [] Exploring Operation: 81-63=18, Resulting Numbers: [34, 64, 18] Generated Node #2: [34, 64, 18] from Operation: 81-63=18 Current State: 80:[34, 64, 18], Operations: ['81-63=18'] Exploring Operation: 34+64=98, Resulting Numbers: [18, 98] Generated Node #3: [18, 98] from Operation: 34+64=98 Current State: 80:[18, 98], Operations: ['81-63=18', '34+64=98'] Exploring Operation: 98-18=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 22, 49, 30, 1 ]
42
[ "22+49=71", "30-1=29", "71-29=42" ]
Current State: 42:[22, 49, 30, 1], Operations: [] Exploring Operation: 22+49=71, Resulting Numbers: [30, 1, 71] Generated Node #2: [30, 1, 71] from Operation: 22+49=71 Current State: 42:[30, 1, 71], Operations: ['22+49=71'] Exploring Operation: 30-1=29, Resulting Numbers: [71, 29] Generated Node #3: [71, 29] from Operation: 30-1=29 Current State: 42:[71, 29], Operations: ['22+49=71', '30-1=29'] Exploring Operation: 71-29=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 12, 60, 92, 84 ]
46
[ "12*92=1104", "84-60=24", "1104/24=46" ]
Current State: 46:[12, 60, 92, 84], Operations: [] Exploring Operation: 12*92=1104, Resulting Numbers: [60, 84, 1104] Generated Node #2: [60, 84, 1104] from Operation: 12*92=1104 Current State: 46:[60, 84, 1104], Operations: ['12*92=1104'] Exploring Operation: 84-60=24, Resulting Numbers: [1104, 24] Generated Node #3: [1104, 24] from Operation: 84-60=24 Current State: 46:[1104, 24], Operations: ['12*92=1104', '84-60=24'] Exploring Operation: 1104/24=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 55, 13, 39, 12 ]
93
[ "55-13=42", "39+12=51", "42+51=93" ]
Current State: 93:[55, 13, 39, 12], Operations: [] Exploring Operation: 55-13=42, Resulting Numbers: [39, 12, 42] Generated Node #2: [39, 12, 42] from Operation: 55-13=42 Current State: 93:[39, 12, 42], Operations: ['55-13=42'] Exploring Operation: 39+12=51, Resulting Numbers: [42, 51] Generated Node #3: [42, 51] from Operation: 39+12=51 Current State: 93:[42, 51], Operations: ['55-13=42', '39+12=51'] Exploring Operation: 42+51=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 71, 8, 80, 65 ]
97
[ "71+65=136", "136/8=17", "80+17=97" ]
Current State: 97:[71, 8, 80, 65], Operations: [] Exploring Operation: 71+65=136, Resulting Numbers: [8, 80, 136] Generated Node #2: [8, 80, 136] from Operation: 71+65=136 Current State: 97:[8, 80, 136], Operations: ['71+65=136'] Exploring Operation: 136/8=17, Resulting Numbers: [80, 17] Generated Node #3: [80, 17] from Operation: 136/8=17 Current State: 97:[80, 17], Operations: ['71+65=136', '136/8=17'] Exploring Operation: 80+17=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 43, 4, 43, 85 ]
90
[ "43/43=1", "4+85=89", "1+89=90" ]
Current State: 90:[43, 4, 43, 85], Operations: [] Exploring Operation: 43/43=1, Resulting Numbers: [4, 85, 1] Generated Node #2: [4, 85, 1] from Operation: 43/43=1 Current State: 90:[4, 85, 1], Operations: ['43/43=1'] Exploring Operation: 4+85=89, Resulting Numbers: [1, 89] Generated Node #3: [1, 89] from Operation: 4+85=89 Current State: 90:[1, 89], Operations: ['43/43=1', '4+85=89'] Exploring Operation: 1+89=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 36, 85, 68, 18 ]
34
[ "36/18=2", "85-68=17", "2*17=34" ]
Current State: 34:[36, 85, 68, 18], Operations: [] Exploring Operation: 36/18=2, Resulting Numbers: [85, 68, 2] Generated Node #2: [85, 68, 2] from Operation: 36/18=2 Current State: 34:[85, 68, 2], Operations: ['36/18=2'] Exploring Operation: 85-68=17, Resulting Numbers: [2, 17] Generated Node #3: [2, 17] from Operation: 85-68=17 Current State: 34:[2, 17], Operations: ['36/18=2', '85-68=17'] Exploring Operation: 2*17=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 1, 77, 21, 35 ]
62
[ "77-1=76", "35-21=14", "76-14=62" ]
Current State: 62:[1, 77, 21, 35], Operations: [] Exploring Operation: 77-1=76, Resulting Numbers: [21, 35, 76] Generated Node #2: [21, 35, 76] from Operation: 77-1=76 Current State: 62:[21, 35, 76], Operations: ['77-1=76'] Exploring Operation: 35-21=14, Resulting Numbers: [76, 14] Generated Node #3: [76, 14] from Operation: 35-21=14 Current State: 62:[76, 14], Operations: ['77-1=76', '35-21=14'] Exploring Operation: 76-14=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 8, 42, 96, 6 ]
81
[ "96-8=88", "42/6=7", "88-7=81" ]
Current State: 81:[8, 42, 96, 6], Operations: [] Exploring Operation: 96-8=88, Resulting Numbers: [42, 6, 88] Generated Node #2: [42, 6, 88] from Operation: 96-8=88 Current State: 81:[42, 6, 88], Operations: ['96-8=88'] Exploring Operation: 42/6=7, Resulting Numbers: [88, 7] Generated Node #3: [88, 7] from Operation: 42/6=7 Current State: 81:[88, 7], Operations: ['96-8=88', '42/6=7'] Exploring Operation: 88-7=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 35, 52, 57, 24 ]
26
[ "57-35=22", "24-22=2", "52/2=26" ]
Current State: 26:[35, 52, 57, 24], Operations: [] Exploring Operation: 57-35=22, Resulting Numbers: [52, 24, 22] Generated Node #2: [52, 24, 22] from Operation: 57-35=22 Current State: 26:[52, 24, 22], Operations: ['57-35=22'] Exploring Operation: 24-22=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 24-22=2 Current State: 26:[52, 2], Operations: ['57-35=22', '24-22=2'] Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 29, 15, 94, 41 ]
97
[ "29+15=44", "94-41=53", "44+53=97" ]
Current State: 97:[29, 15, 94, 41], Operations: [] Exploring Operation: 29+15=44, Resulting Numbers: [94, 41, 44] Generated Node #2: [94, 41, 44] from Operation: 29+15=44 Current State: 97:[94, 41, 44], Operations: ['29+15=44'] Exploring Operation: 94-41=53, Resulting Numbers: [44, 53] Generated Node #3: [44, 53] from Operation: 94-41=53 Current State: 97:[44, 53], Operations: ['29+15=44', '94-41=53'] Exploring Operation: 44+53=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 63, 3, 38, 59 ]
92
[ "63*3=189", "38+59=97", "189-97=92" ]
Current State: 92:[63, 3, 38, 59], Operations: [] Exploring Operation: 63*3=189, Resulting Numbers: [38, 59, 189] Generated Node #2: [38, 59, 189] from Operation: 63*3=189 Current State: 92:[38, 59, 189], Operations: ['63*3=189'] Exploring Operation: 38+59=97, Resulting Numbers: [189, 97] Generated Node #3: [189, 97] from Operation: 38+59=97 Current State: 92:[189, 97], Operations: ['63*3=189', '38+59=97'] Exploring Operation: 189-97=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 43, 53, 18, 33 ]
86
[ "53-18=35", "35-33=2", "43*2=86" ]
Current State: 86:[43, 53, 18, 33], Operations: [] Exploring Operation: 53-18=35, Resulting Numbers: [43, 33, 35] Generated Node #2: [43, 33, 35] from Operation: 53-18=35 Current State: 86:[43, 33, 35], Operations: ['53-18=35'] Exploring Operation: 35-33=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 35-33=2 Current State: 86:[43, 2], Operations: ['53-18=35', '35-33=2'] Exploring Operation: 43*2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 24, 43, 6, 6 ]
86
[ "24*43=1032", "6+6=12", "1032/12=86" ]
Current State: 86:[24, 43, 6, 6], Operations: [] Exploring Operation: 24*43=1032, Resulting Numbers: [6, 6, 1032] Generated Node #2: [6, 6, 1032] from Operation: 24*43=1032 Current State: 86:[6, 6, 1032], Operations: ['24*43=1032'] Exploring Operation: 6+6=12, Resulting Numbers: [1032, 12] Generated Node #3: [1032, 12] from Operation: 6+6=12 Current State: 86:[1032, 12], Operations: ['24*43=1032', '6+6=12'] Exploring Operation: 1032/12=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 25, 10, 52, 36 ]
50
[ "25*52=1300", "36-10=26", "1300/26=50" ]
Current State: 50:[25, 10, 52, 36], Operations: [] Exploring Operation: 25*52=1300, Resulting Numbers: [10, 36, 1300] Generated Node #2: [10, 36, 1300] from Operation: 25*52=1300 Current State: 50:[10, 36, 1300], Operations: ['25*52=1300'] Exploring Operation: 36-10=26, Resulting Numbers: [1300, 26] Generated Node #3: [1300, 26] from Operation: 36-10=26 Current State: 50:[1300, 26], Operations: ['25*52=1300', '36-10=26'] Exploring Operation: 1300/26=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 33, 60, 95, 11 ]
85
[ "33*60=1980", "1980/11=180", "180-95=85" ]
Current State: 85:[33, 60, 95, 11], Operations: [] Exploring Operation: 33*60=1980, Resulting Numbers: [95, 11, 1980] Generated Node #2: [95, 11, 1980] from Operation: 33*60=1980 Current State: 85:[95, 11, 1980], Operations: ['33*60=1980'] Exploring Operation: 1980/11=180, Resulting Numbers: [95, 180] Generated Node #3: [95, 180] from Operation: 1980/11=180 Current State: 85:[95, 180], Operations: ['33*60=1980', '1980/11=180'] Exploring Operation: 180-95=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 8, 17, 26, 63 ]
28
[ "17-8=9", "63-26=37", "37-9=28" ]
Current State: 28:[8, 17, 26, 63], Operations: [] Exploring Operation: 17-8=9, Resulting Numbers: [26, 63, 9] Generated Node #2: [26, 63, 9] from Operation: 17-8=9 Current State: 28:[26, 63, 9], Operations: ['17-8=9'] Exploring Operation: 63-26=37, Resulting Numbers: [9, 37] Generated Node #3: [9, 37] from Operation: 63-26=37 Current State: 28:[9, 37], Operations: ['17-8=9', '63-26=37'] Exploring Operation: 37-9=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 88, 69, 26, 89 ]
94
[ "88+69=157", "89-26=63", "157-63=94" ]
Current State: 94:[88, 69, 26, 89], Operations: [] Exploring Operation: 88+69=157, Resulting Numbers: [26, 89, 157] Generated Node #2: [26, 89, 157] from Operation: 88+69=157 Current State: 94:[26, 89, 157], Operations: ['88+69=157'] Exploring Operation: 89-26=63, Resulting Numbers: [157, 63] Generated Node #3: [157, 63] from Operation: 89-26=63 Current State: 94:[157, 63], Operations: ['88+69=157', '89-26=63'] Exploring Operation: 157-63=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 17, 40, 74, 15 ]
68
[ "17-15=2", "74-40=34", "2*34=68" ]
Current State: 68:[17, 40, 74, 15], Operations: [] Exploring Operation: 17-15=2, Resulting Numbers: [40, 74, 2] Generated Node #2: [40, 74, 2] from Operation: 17-15=2 Current State: 68:[40, 74, 2], Operations: ['17-15=2'] Exploring Operation: 74-40=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 74-40=34 Current State: 68:[2, 34], Operations: ['17-15=2', '74-40=34'] Exploring Operation: 2*34=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 9, 61, 2, 31 ]
23
[ "61-9=52", "31-2=29", "52-29=23" ]
Current State: 23:[9, 61, 2, 31], Operations: [] Exploring Operation: 61-9=52, Resulting Numbers: [2, 31, 52] Generated Node #2: [2, 31, 52] from Operation: 61-9=52 Current State: 23:[2, 31, 52], Operations: ['61-9=52'] Exploring Operation: 31-2=29, Resulting Numbers: [52, 29] Generated Node #3: [52, 29] from Operation: 31-2=29 Current State: 23:[52, 29], Operations: ['61-9=52', '31-2=29'] Exploring Operation: 52-29=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 47, 2, 38, 89 ]
61
[ "89-47=42", "38/2=19", "42+19=61" ]
Current State: 61:[47, 2, 38, 89], Operations: [] Exploring Operation: 89-47=42, Resulting Numbers: [2, 38, 42] Generated Node #2: [2, 38, 42] from Operation: 89-47=42 Current State: 61:[2, 38, 42], Operations: ['89-47=42'] Exploring Operation: 38/2=19, Resulting Numbers: [42, 19] Generated Node #3: [42, 19] from Operation: 38/2=19 Current State: 61:[42, 19], Operations: ['89-47=42', '38/2=19'] Exploring Operation: 42+19=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 42, 5, 98, 23 ]
59
[ "98-42=56", "5*23=115", "115-56=59" ]
Current State: 59:[42, 5, 98, 23], Operations: [] Exploring Operation: 98-42=56, Resulting Numbers: [5, 23, 56] Generated Node #2: [5, 23, 56] from Operation: 98-42=56 Current State: 59:[5, 23, 56], Operations: ['98-42=56'] Exploring Operation: 5*23=115, Resulting Numbers: [56, 115] Generated Node #3: [56, 115] from Operation: 5*23=115 Current State: 59:[56, 115], Operations: ['98-42=56', '5*23=115'] Exploring Operation: 115-56=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 51, 50, 32, 9 ]
41
[ "51-50=1", "32+9=41", "1*41=41" ]
Current State: 41:[51, 50, 32, 9], Operations: [] Exploring Operation: 51-50=1, Resulting Numbers: [32, 9, 1] Generated Node #2: [32, 9, 1] from Operation: 51-50=1 Current State: 41:[32, 9, 1], Operations: ['51-50=1'] Exploring Operation: 32+9=41, Resulting Numbers: [1, 41] Generated Node #3: [1, 41] from Operation: 32+9=41 Current State: 41:[1, 41], Operations: ['51-50=1', '32+9=41'] Exploring Operation: 1*41=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 30, 78, 32, 19 ]
58
[ "32-30=2", "78/2=39", "19+39=58" ]
Current State: 58:[30, 78, 32, 19], Operations: [] Exploring Operation: 32-30=2, Resulting Numbers: [78, 19, 2] Generated Node #2: [78, 19, 2] from Operation: 32-30=2 Current State: 58:[78, 19, 2], Operations: ['32-30=2'] Exploring Operation: 78/2=39, Resulting Numbers: [19, 39] Generated Node #3: [19, 39] from Operation: 78/2=39 Current State: 58:[19, 39], Operations: ['32-30=2', '78/2=39'] Exploring Operation: 19+39=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 41, 95, 39, 63 ]
31
[ "41-39=2", "63*2=126", "126-95=31" ]
Current State: 31:[41, 95, 39, 63], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [95, 63, 2] Generated Node #2: [95, 63, 2] from Operation: 41-39=2 Current State: 31:[95, 63, 2], Operations: ['41-39=2'] Exploring Operation: 63*2=126, Resulting Numbers: [95, 126] Generated Node #3: [95, 126] from Operation: 63*2=126 Current State: 31:[95, 126], Operations: ['41-39=2', '63*2=126'] Exploring Operation: 126-95=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 93, 17, 42, 95 ]
27
[ "93+17=110", "42+95=137", "137-110=27" ]
Current State: 27:[93, 17, 42, 95], Operations: [] Exploring Operation: 93+17=110, Resulting Numbers: [42, 95, 110] Generated Node #2: [42, 95, 110] from Operation: 93+17=110 Current State: 27:[42, 95, 110], Operations: ['93+17=110'] Exploring Operation: 42+95=137, Resulting Numbers: [110, 137] Generated Node #3: [110, 137] from Operation: 42+95=137 Current State: 27:[110, 137], Operations: ['93+17=110', '42+95=137'] Exploring Operation: 137-110=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 88, 92, 19, 89 ]
13
[ "92-88=4", "19*4=76", "89-76=13" ]
Current State: 13:[88, 92, 19, 89], Operations: [] Exploring Operation: 92-88=4, Resulting Numbers: [19, 89, 4] Generated Node #2: [19, 89, 4] from Operation: 92-88=4 Current State: 13:[19, 89, 4], Operations: ['92-88=4'] Exploring Operation: 19*4=76, Resulting Numbers: [89, 76] Generated Node #3: [89, 76] from Operation: 19*4=76 Current State: 13:[89, 76], Operations: ['92-88=4', '19*4=76'] Exploring Operation: 89-76=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 59, 52, 1, 79 ]
73
[ "59-52=7", "1+79=80", "80-7=73" ]
Current State: 73:[59, 52, 1, 79], Operations: [] Exploring Operation: 59-52=7, Resulting Numbers: [1, 79, 7] Generated Node #2: [1, 79, 7] from Operation: 59-52=7 Current State: 73:[1, 79, 7], Operations: ['59-52=7'] Exploring Operation: 1+79=80, Resulting Numbers: [7, 80] Generated Node #3: [7, 80] from Operation: 1+79=80 Current State: 73:[7, 80], Operations: ['59-52=7', '1+79=80'] Exploring Operation: 80-7=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 1, 95, 35, 91 ]
32
[ "95-1=94", "35+91=126", "126-94=32" ]
Current State: 32:[1, 95, 35, 91], Operations: [] Exploring Operation: 95-1=94, Resulting Numbers: [35, 91, 94] Generated Node #2: [35, 91, 94] from Operation: 95-1=94 Current State: 32:[35, 91, 94], Operations: ['95-1=94'] Exploring Operation: 35+91=126, Resulting Numbers: [94, 126] Generated Node #3: [94, 126] from Operation: 35+91=126 Current State: 32:[94, 126], Operations: ['95-1=94', '35+91=126'] Exploring Operation: 126-94=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 78, 48, 45, 75 ]
31
[ "78-75=3", "48+45=93", "93/3=31" ]
Current State: 31:[78, 48, 45, 75], Operations: [] Exploring Operation: 78-75=3, Resulting Numbers: [48, 45, 3] Generated Node #2: [48, 45, 3] from Operation: 78-75=3 Current State: 31:[48, 45, 3], Operations: ['78-75=3'] Exploring Operation: 48+45=93, Resulting Numbers: [3, 93] Generated Node #3: [3, 93] from Operation: 48+45=93 Current State: 31:[3, 93], Operations: ['78-75=3', '48+45=93'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 5, 69, 81, 80 ]
26
[ "80-69=11", "5*11=55", "81-55=26" ]
Current State: 26:[5, 69, 81, 80], Operations: [] Exploring Operation: 80-69=11, Resulting Numbers: [5, 81, 11] Generated Node #2: [5, 81, 11] from Operation: 80-69=11 Current State: 26:[5, 81, 11], Operations: ['80-69=11'] Exploring Operation: 5*11=55, Resulting Numbers: [81, 55] Generated Node #3: [81, 55] from Operation: 5*11=55 Current State: 26:[81, 55], Operations: ['80-69=11', '5*11=55'] Exploring Operation: 81-55=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 70, 6, 90, 45 ]
32
[ "70-6=64", "90/45=2", "64/2=32" ]
Current State: 32:[70, 6, 90, 45], Operations: [] Exploring Operation: 70-6=64, Resulting Numbers: [90, 45, 64] Generated Node #2: [90, 45, 64] from Operation: 70-6=64 Current State: 32:[90, 45, 64], Operations: ['70-6=64'] Exploring Operation: 90/45=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 90/45=2 Current State: 32:[64, 2], Operations: ['70-6=64', '90/45=2'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 75, 87, 14, 77 ]
59
[ "77-75=2", "14*2=28", "87-28=59" ]
Current State: 59:[75, 87, 14, 77], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [87, 14, 2] Generated Node #2: [87, 14, 2] from Operation: 77-75=2 Current State: 59:[87, 14, 2], Operations: ['77-75=2'] Exploring Operation: 14*2=28, Resulting Numbers: [87, 28] Generated Node #3: [87, 28] from Operation: 14*2=28 Current State: 59:[87, 28], Operations: ['77-75=2', '14*2=28'] Exploring Operation: 87-28=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 52, 18, 31, 56 ]
59
[ "52-18=34", "56-31=25", "34+25=59" ]
Current State: 59:[52, 18, 31, 56], Operations: [] Exploring Operation: 52-18=34, Resulting Numbers: [31, 56, 34] Generated Node #2: [31, 56, 34] from Operation: 52-18=34 Current State: 59:[31, 56, 34], Operations: ['52-18=34'] Exploring Operation: 56-31=25, Resulting Numbers: [34, 25] Generated Node #3: [34, 25] from Operation: 56-31=25 Current State: 59:[34, 25], Operations: ['52-18=34', '56-31=25'] Exploring Operation: 34+25=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 19, 36, 23, 17 ]
95
[ "19+36=55", "23+17=40", "55+40=95" ]
Current State: 95:[19, 36, 23, 17], Operations: [] Exploring Operation: 19+36=55, Resulting Numbers: [23, 17, 55] Generated Node #2: [23, 17, 55] from Operation: 19+36=55 Current State: 95:[23, 17, 55], Operations: ['19+36=55'] Exploring Operation: 23+17=40, Resulting Numbers: [55, 40] Generated Node #3: [55, 40] from Operation: 23+17=40 Current State: 95:[55, 40], Operations: ['19+36=55', '23+17=40'] Exploring Operation: 55+40=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 88, 35, 25, 55 ]
11
[ "35*55=1925", "1925/25=77", "88-77=11" ]
Current State: 11:[88, 35, 25, 55], Operations: [] Exploring Operation: 35*55=1925, Resulting Numbers: [88, 25, 1925] Generated Node #2: [88, 25, 1925] from Operation: 35*55=1925 Current State: 11:[88, 25, 1925], Operations: ['35*55=1925'] Exploring Operation: 1925/25=77, Resulting Numbers: [88, 77] Generated Node #3: [88, 77] from Operation: 1925/25=77 Current State: 11:[88, 77], Operations: ['35*55=1925', '1925/25=77'] Exploring Operation: 88-77=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 56, 69, 79, 56 ]
69
[ "56-56=0", "79*0=0", "69+0=69" ]
Current State: 69:[56, 69, 79, 56], Operations: [] Exploring Operation: 56-56=0, Resulting Numbers: [69, 79, 0] Generated Node #2: [69, 79, 0] from Operation: 56-56=0 Current State: 69:[69, 79, 0], Operations: ['56-56=0'] Exploring Operation: 79*0=0, Resulting Numbers: [69, 0] Generated Node #3: [69, 0] from Operation: 79*0=0 Current State: 69:[69, 0], Operations: ['56-56=0', '79*0=0'] Exploring Operation: 69+0=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 79, 34, 31, 8 ]
74
[ "79+34=113", "31+8=39", "113-39=74" ]
Current State: 74:[79, 34, 31, 8], Operations: [] Exploring Operation: 79+34=113, Resulting Numbers: [31, 8, 113] Generated Node #2: [31, 8, 113] from Operation: 79+34=113 Current State: 74:[31, 8, 113], Operations: ['79+34=113'] Exploring Operation: 31+8=39, Resulting Numbers: [113, 39] Generated Node #3: [113, 39] from Operation: 31+8=39 Current State: 74:[113, 39], Operations: ['79+34=113', '31+8=39'] Exploring Operation: 113-39=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4