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
[ 78, 61, 41, 86 ]
12
[ "78+61=139", "41+86=127", "139-127=12" ]
Current State: 12:[78, 61, 41, 86], Operations: [] Exploring Operation: 78+61=139, Resulting Numbers: [41, 86, 139] Generated Node #2: [41, 86, 139] from Operation: 78+61=139 Current State: 12:[41, 86, 139], Operations: ['78+61=139'] Exploring Operation: 41+86=127, Resulting Numbers: [139, 127] Generated Node #3: [139, 127] from Operation: 41+86=127 Current State: 12:[139, 127], Operations: ['78+61=139', '41+86=127'] Exploring Operation: 139-127=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 13, 36, 23, 46 ]
26
[ "13+36=49", "46-23=23", "49-23=26" ]
Current State: 26:[13, 36, 23, 46], Operations: [] Exploring Operation: 13+36=49, Resulting Numbers: [23, 46, 49] Generated Node #2: [23, 46, 49] from Operation: 13+36=49 Current State: 26:[23, 46, 49], Operations: ['13+36=49'] Exploring Operation: 46-23=23, Resulting Numbers: [49, 23] Generated Node #3: [49, 23] from Operation: 46-23=23 Current State: 26:[49, 23], Operations: ['13+36=49', '46-23=23'] Exploring Operation: 49-23=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 36, 57, 48, 42 ]
59
[ "36+48=84", "84/42=2", "57+2=59" ]
Current State: 59:[36, 57, 48, 42], Operations: [] Exploring Operation: 36+48=84, Resulting Numbers: [57, 42, 84] Generated Node #2: [57, 42, 84] from Operation: 36+48=84 Current State: 59:[57, 42, 84], Operations: ['36+48=84'] Exploring Operation: 84/42=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 84/42=2 Current State: 59:[57, 2], Operations: ['36+48=84', '84/42=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 63, 34, 52, 41 ]
86
[ "63+34=97", "52-41=11", "97-11=86" ]
Current State: 86:[63, 34, 52, 41], Operations: [] Exploring Operation: 63+34=97, Resulting Numbers: [52, 41, 97] Generated Node #2: [52, 41, 97] from Operation: 63+34=97 Current State: 86:[52, 41, 97], Operations: ['63+34=97'] Exploring Operation: 52-41=11, Resulting Numbers: [97, 11] Generated Node #3: [97, 11] from Operation: 52-41=11 Current State: 86:[97, 11], Operations: ['63+34=97', '52-41=11'] Exploring Operation: 97-11=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 56, 93, 93, 99 ]
31
[ "93-56=37", "99-93=6", "37-6=31" ]
Current State: 31:[56, 93, 93, 99], Operations: [] Exploring Operation: 93-56=37, Resulting Numbers: [99, 37] Generated Node #2: [99, 37] from Operation: 93-56=37 Current State: 31:[99, 37], Operations: ['93-56=37'] Exploring Operation: 99-93=6, Resulting Numbers: [37, 6] Generated Node #3: [37, 6] from Operation: 99-93=6 Current State: 31:[37, 6], Operations: ['93-56=37', '99-93=6'] Exploring Operation: 37-6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 55, 57, 16, 67 ]
49
[ "57-55=2", "67-16=51", "51-2=49" ]
Current State: 49:[55, 57, 16, 67], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [16, 67, 2] Generated Node #2: [16, 67, 2] from Operation: 57-55=2 Current State: 49:[16, 67, 2], Operations: ['57-55=2'] Exploring Operation: 67-16=51, Resulting Numbers: [2, 51] Generated Node #3: [2, 51] from Operation: 67-16=51 Current State: 49:[2, 51], Operations: ['57-55=2', '67-16=51'] Exploring Operation: 51-2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 67, 59, 15, 65 ]
42
[ "67-59=8", "65-15=50", "50-8=42" ]
Current State: 42:[67, 59, 15, 65], Operations: [] Exploring Operation: 67-59=8, Resulting Numbers: [15, 65, 8] Generated Node #2: [15, 65, 8] from Operation: 67-59=8 Current State: 42:[15, 65, 8], Operations: ['67-59=8'] Exploring Operation: 65-15=50, Resulting Numbers: [8, 50] Generated Node #3: [8, 50] from Operation: 65-15=50 Current State: 42:[8, 50], Operations: ['67-59=8', '65-15=50'] Exploring Operation: 50-8=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 68, 43, 51, 14 ]
46
[ "68+43=111", "51+14=65", "111-65=46" ]
Current State: 46:[68, 43, 51, 14], Operations: [] Exploring Operation: 68+43=111, Resulting Numbers: [51, 14, 111] Generated Node #2: [51, 14, 111] from Operation: 68+43=111 Current State: 46:[51, 14, 111], Operations: ['68+43=111'] Exploring Operation: 51+14=65, Resulting Numbers: [111, 65] Generated Node #3: [111, 65] from Operation: 51+14=65 Current State: 46:[111, 65], Operations: ['68+43=111', '51+14=65'] Exploring Operation: 111-65=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 7, 52, 45, 50 ]
64
[ "7+52=59", "50-45=5", "59+5=64" ]
Current State: 64:[7, 52, 45, 50], Operations: [] Exploring Operation: 7+52=59, Resulting Numbers: [45, 50, 59] Generated Node #2: [45, 50, 59] from Operation: 7+52=59 Current State: 64:[45, 50, 59], Operations: ['7+52=59'] Exploring Operation: 50-45=5, Resulting Numbers: [59, 5] Generated Node #3: [59, 5] from Operation: 50-45=5 Current State: 64:[59, 5], Operations: ['7+52=59', '50-45=5'] Exploring Operation: 59+5=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 17, 40, 2, 5 ]
50
[ "17+40=57", "2+5=7", "57-7=50" ]
Current State: 50:[17, 40, 2, 5], Operations: [] Exploring Operation: 17+40=57, Resulting Numbers: [2, 5, 57] Generated Node #2: [2, 5, 57] from Operation: 17+40=57 Current State: 50:[2, 5, 57], Operations: ['17+40=57'] Exploring Operation: 2+5=7, Resulting Numbers: [57, 7] Generated Node #3: [57, 7] from Operation: 2+5=7 Current State: 50:[57, 7], Operations: ['17+40=57', '2+5=7'] Exploring Operation: 57-7=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 71, 91, 41, 81 ]
43
[ "71+91=162", "162/81=2", "41+2=43" ]
Current State: 43:[71, 91, 41, 81], Operations: [] Exploring Operation: 71+91=162, Resulting Numbers: [41, 81, 162] Generated Node #2: [41, 81, 162] from Operation: 71+91=162 Current State: 43:[41, 81, 162], Operations: ['71+91=162'] Exploring Operation: 162/81=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 162/81=2 Current State: 43:[41, 2], Operations: ['71+91=162', '162/81=2'] Exploring Operation: 41+2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 96, 52, 12, 15 ]
75
[ "96/12=8", "52+15=67", "8+67=75" ]
Current State: 75:[96, 52, 12, 15], Operations: [] Exploring Operation: 96/12=8, Resulting Numbers: [52, 15, 8] Generated Node #2: [52, 15, 8] from Operation: 96/12=8 Current State: 75:[52, 15, 8], Operations: ['96/12=8'] Exploring Operation: 52+15=67, Resulting Numbers: [8, 67] Generated Node #3: [8, 67] from Operation: 52+15=67 Current State: 75:[8, 67], Operations: ['96/12=8', '52+15=67'] Exploring Operation: 8+67=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 9, 29, 86, 68 ]
56
[ "9+29=38", "86-68=18", "38+18=56" ]
Current State: 56:[9, 29, 86, 68], Operations: [] Exploring Operation: 9+29=38, Resulting Numbers: [86, 68, 38] Generated Node #2: [86, 68, 38] from Operation: 9+29=38 Current State: 56:[86, 68, 38], Operations: ['9+29=38'] Exploring Operation: 86-68=18, Resulting Numbers: [38, 18] Generated Node #3: [38, 18] from Operation: 86-68=18 Current State: 56:[38, 18], Operations: ['9+29=38', '86-68=18'] Exploring Operation: 38+18=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 28, 15, 40, 60 ]
57
[ "28+15=43", "40+60=100", "100-43=57" ]
Current State: 57:[28, 15, 40, 60], Operations: [] Exploring Operation: 28+15=43, Resulting Numbers: [40, 60, 43] Generated Node #2: [40, 60, 43] from Operation: 28+15=43 Current State: 57:[40, 60, 43], Operations: ['28+15=43'] Exploring Operation: 40+60=100, Resulting Numbers: [43, 100] Generated Node #3: [43, 100] from Operation: 40+60=100 Current State: 57:[43, 100], Operations: ['28+15=43', '40+60=100'] Exploring Operation: 100-43=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 45, 42, 51, 98 ]
55
[ "45-42=3", "51*3=153", "153-98=55" ]
Current State: 55:[45, 42, 51, 98], Operations: [] Exploring Operation: 45-42=3, Resulting Numbers: [51, 98, 3] Generated Node #2: [51, 98, 3] from Operation: 45-42=3 Current State: 55:[51, 98, 3], Operations: ['45-42=3'] Exploring Operation: 51*3=153, Resulting Numbers: [98, 153] Generated Node #3: [98, 153] from Operation: 51*3=153 Current State: 55:[98, 153], Operations: ['45-42=3', '51*3=153'] Exploring Operation: 153-98=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 50, 2, 3, 35 ]
20
[ "50+2=52", "35-3=32", "52-32=20" ]
Current State: 20:[50, 2, 3, 35], Operations: [] Exploring Operation: 50+2=52, Resulting Numbers: [3, 35, 52] Generated Node #2: [3, 35, 52] from Operation: 50+2=52 Current State: 20:[3, 35, 52], Operations: ['50+2=52'] Exploring Operation: 35-3=32, Resulting Numbers: [52, 32] Generated Node #3: [52, 32] from Operation: 35-3=32 Current State: 20:[52, 32], Operations: ['50+2=52', '35-3=32'] Exploring Operation: 52-32=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 95, 45, 88, 45 ]
95
[ "45-45=0", "88*0=0", "95+0=95" ]
Current State: 95:[95, 45, 88, 45], Operations: [] Exploring Operation: 45-45=0, Resulting Numbers: [95, 88, 0] Generated Node #2: [95, 88, 0] from Operation: 45-45=0 Current State: 95:[95, 88, 0], Operations: ['45-45=0'] Exploring Operation: 88*0=0, Resulting Numbers: [95, 0] Generated Node #3: [95, 0] from Operation: 88*0=0 Current State: 95:[95, 0], Operations: ['45-45=0', '88*0=0'] Exploring Operation: 95+0=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 60, 2, 34, 82 ]
10
[ "60-2=58", "82-34=48", "58-48=10" ]
Current State: 10:[60, 2, 34, 82], Operations: [] Exploring Operation: 60-2=58, Resulting Numbers: [34, 82, 58] Generated Node #2: [34, 82, 58] from Operation: 60-2=58 Current State: 10:[34, 82, 58], Operations: ['60-2=58'] Exploring Operation: 82-34=48, Resulting Numbers: [58, 48] Generated Node #3: [58, 48] from Operation: 82-34=48 Current State: 10:[58, 48], Operations: ['60-2=58', '82-34=48'] Exploring Operation: 58-48=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 16, 49, 44, 49 ]
13
[ "16+49=65", "49-44=5", "65/5=13" ]
Current State: 13:[16, 49, 44, 49], Operations: [] Exploring Operation: 16+49=65, Resulting Numbers: [44, 65] Generated Node #2: [44, 65] from Operation: 16+49=65 Current State: 13:[44, 65], Operations: ['16+49=65'] Exploring Operation: 49-44=5, Resulting Numbers: [65, 5] Generated Node #3: [65, 5] from Operation: 49-44=5 Current State: 13:[65, 5], Operations: ['16+49=65', '49-44=5'] Exploring Operation: 65/5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 29, 93, 3, 54 ]
27
[ "93/3=31", "31-29=2", "54/2=27" ]
Current State: 27:[29, 93, 3, 54], Operations: [] Exploring Operation: 93/3=31, Resulting Numbers: [29, 54, 31] Generated Node #2: [29, 54, 31] from Operation: 93/3=31 Current State: 27:[29, 54, 31], Operations: ['93/3=31'] Exploring Operation: 31-29=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 31-29=2 Current State: 27:[54, 2], Operations: ['93/3=31', '31-29=2'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 26, 36, 13, 59 ]
97
[ "26/13=2", "36+59=95", "2+95=97" ]
Current State: 97:[26, 36, 13, 59], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [36, 59, 2] Generated Node #2: [36, 59, 2] from Operation: 26/13=2 Current State: 97:[36, 59, 2], Operations: ['26/13=2'] Exploring Operation: 36+59=95, Resulting Numbers: [2, 95] Generated Node #3: [2, 95] from Operation: 36+59=95 Current State: 97:[2, 95], Operations: ['26/13=2', '36+59=95'] Exploring Operation: 2+95=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 89, 50, 44, 30 ]
94
[ "50-44=6", "30/6=5", "89+5=94" ]
Current State: 94:[89, 50, 44, 30], Operations: [] Exploring Operation: 50-44=6, Resulting Numbers: [89, 30, 6] Generated Node #2: [89, 30, 6] from Operation: 50-44=6 Current State: 94:[89, 30, 6], Operations: ['50-44=6'] Exploring Operation: 30/6=5, Resulting Numbers: [89, 5] Generated Node #3: [89, 5] from Operation: 30/6=5 Current State: 94:[89, 5], Operations: ['50-44=6', '30/6=5'] Exploring Operation: 89+5=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 74, 91, 20, 72 ]
73
[ "74+91=165", "20+72=92", "165-92=73" ]
Current State: 73:[74, 91, 20, 72], Operations: [] Exploring Operation: 74+91=165, Resulting Numbers: [20, 72, 165] Generated Node #2: [20, 72, 165] from Operation: 74+91=165 Current State: 73:[20, 72, 165], Operations: ['74+91=165'] Exploring Operation: 20+72=92, Resulting Numbers: [165, 92] Generated Node #3: [165, 92] from Operation: 20+72=92 Current State: 73:[165, 92], Operations: ['74+91=165', '20+72=92'] Exploring Operation: 165-92=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 69, 49, 13, 46 ]
54
[ "49-13=36", "69*36=2484", "2484/46=54" ]
Current State: 54:[69, 49, 13, 46], Operations: [] Exploring Operation: 49-13=36, Resulting Numbers: [69, 46, 36] Generated Node #2: [69, 46, 36] from Operation: 49-13=36 Current State: 54:[69, 46, 36], Operations: ['49-13=36'] Exploring Operation: 69*36=2484, Resulting Numbers: [46, 2484] Generated Node #3: [46, 2484] from Operation: 69*36=2484 Current State: 54:[46, 2484], Operations: ['49-13=36', '69*36=2484'] Exploring Operation: 2484/46=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 63, 20, 48, 95 ]
90
[ "63-20=43", "95-48=47", "43+47=90" ]
Current State: 90:[63, 20, 48, 95], Operations: [] Exploring Operation: 63-20=43, Resulting Numbers: [48, 95, 43] Generated Node #2: [48, 95, 43] from Operation: 63-20=43 Current State: 90:[48, 95, 43], Operations: ['63-20=43'] Exploring Operation: 95-48=47, Resulting Numbers: [43, 47] Generated Node #3: [43, 47] from Operation: 95-48=47 Current State: 90:[43, 47], Operations: ['63-20=43', '95-48=47'] Exploring Operation: 43+47=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 10, 25, 97, 96 ]
14
[ "25-10=15", "97-96=1", "15-1=14" ]
Current State: 14:[10, 25, 97, 96], Operations: [] Exploring Operation: 25-10=15, Resulting Numbers: [97, 96, 15] Generated Node #2: [97, 96, 15] from Operation: 25-10=15 Current State: 14:[97, 96, 15], Operations: ['25-10=15'] Exploring Operation: 97-96=1, Resulting Numbers: [15, 1] Generated Node #3: [15, 1] from Operation: 97-96=1 Current State: 14:[15, 1], Operations: ['25-10=15', '97-96=1'] Exploring Operation: 15-1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 42, 75, 64, 11 ]
41
[ "75-64=11", "11/11=1", "42-1=41" ]
Current State: 41:[42, 75, 64, 11], Operations: [] Exploring Operation: 75-64=11, Resulting Numbers: [42, 11, 11] Generated Node #2: [42, 11, 11] from Operation: 75-64=11 Current State: 41:[42, 11, 11], Operations: ['75-64=11'] Exploring Operation: 11/11=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 11/11=1 Current State: 41:[42, 1], Operations: ['75-64=11', '11/11=1'] Exploring Operation: 42-1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 6, 16, 22, 13 ]
13
[ "6+16=22", "22+13=35", "35-22=13" ]
Current State: 13:[6, 16, 22, 13], Operations: [] Exploring Operation: 6+16=22, Resulting Numbers: [22, 13, 22] Generated Node #2: [22, 13, 22] from Operation: 6+16=22 Current State: 13:[22, 13, 22], Operations: ['6+16=22'] Exploring Operation: 22+13=35, Resulting Numbers: [35] 35,13 equal: Goal Reached Exploring Operation: 35-22=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 6, 32, 63, 52 ]
89
[ "32-6=26", "63+52=115", "115-26=89" ]
Current State: 89:[6, 32, 63, 52], Operations: [] Exploring Operation: 32-6=26, Resulting Numbers: [63, 52, 26] Generated Node #2: [63, 52, 26] from Operation: 32-6=26 Current State: 89:[63, 52, 26], Operations: ['32-6=26'] Exploring Operation: 63+52=115, Resulting Numbers: [26, 115] Generated Node #3: [26, 115] from Operation: 63+52=115 Current State: 89:[26, 115], Operations: ['32-6=26', '63+52=115'] Exploring Operation: 115-26=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 35, 57, 75, 63 ]
78
[ "75*63=4725", "4725/35=135", "135-57=78" ]
Current State: 78:[35, 57, 75, 63], Operations: [] Exploring Operation: 75*63=4725, Resulting Numbers: [35, 57, 4725] Generated Node #2: [35, 57, 4725] from Operation: 75*63=4725 Current State: 78:[35, 57, 4725], Operations: ['75*63=4725'] Exploring Operation: 4725/35=135, Resulting Numbers: [57, 135] Generated Node #3: [57, 135] from Operation: 4725/35=135 Current State: 78:[57, 135], Operations: ['75*63=4725', '4725/35=135'] Exploring Operation: 135-57=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 27, 91, 93, 72 ]
18
[ "93-91=2", "27*2=54", "72-54=18" ]
Current State: 18:[27, 91, 93, 72], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [27, 72, 2] Generated Node #2: [27, 72, 2] from Operation: 93-91=2 Current State: 18:[27, 72, 2], Operations: ['93-91=2'] Exploring Operation: 27*2=54, Resulting Numbers: [72, 54] Generated Node #3: [72, 54] from Operation: 27*2=54 Current State: 18:[72, 54], Operations: ['93-91=2', '27*2=54'] Exploring Operation: 72-54=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 2, 36, 11, 14 ]
46
[ "36*14=504", "2+504=506", "506/11=46" ]
Current State: 46:[2, 36, 11, 14], Operations: [] Exploring Operation: 36*14=504, Resulting Numbers: [2, 11, 504] Generated Node #2: [2, 11, 504] from Operation: 36*14=504 Current State: 46:[2, 11, 504], Operations: ['36*14=504'] Exploring Operation: 2+504=506, Resulting Numbers: [11, 506] Generated Node #3: [11, 506] from Operation: 2+504=506 Current State: 46:[11, 506], Operations: ['36*14=504', '2+504=506'] Exploring Operation: 506/11=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 28, 31, 44, 41 ]
53
[ "44-41=3", "28*3=84", "84-31=53" ]
Current State: 53:[28, 31, 44, 41], Operations: [] Exploring Operation: 44-41=3, Resulting Numbers: [28, 31, 3] Generated Node #2: [28, 31, 3] from Operation: 44-41=3 Current State: 53:[28, 31, 3], Operations: ['44-41=3'] Exploring Operation: 28*3=84, Resulting Numbers: [31, 84] Generated Node #3: [31, 84] from Operation: 28*3=84 Current State: 53:[31, 84], Operations: ['44-41=3', '28*3=84'] Exploring Operation: 84-31=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 55, 72, 48, 12 ]
53
[ "72-55=17", "48-12=36", "17+36=53" ]
Current State: 53:[55, 72, 48, 12], Operations: [] Exploring Operation: 72-55=17, Resulting Numbers: [48, 12, 17] Generated Node #2: [48, 12, 17] from Operation: 72-55=17 Current State: 53:[48, 12, 17], Operations: ['72-55=17'] Exploring Operation: 48-12=36, Resulting Numbers: [17, 36] Generated Node #3: [17, 36] from Operation: 48-12=36 Current State: 53:[17, 36], Operations: ['72-55=17', '48-12=36'] Exploring Operation: 17+36=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 48, 1, 82, 3 ]
66
[ "48*1=48", "48/3=16", "82-16=66" ]
Current State: 66:[48, 1, 82, 3], Operations: [] Exploring Operation: 48*1=48, Resulting Numbers: [82, 3, 48] Generated Node #2: [82, 3, 48] from Operation: 48*1=48 Current State: 66:[82, 3, 48], Operations: ['48*1=48'] Exploring Operation: 48/3=16, Resulting Numbers: [82, 16] Generated Node #3: [82, 16] from Operation: 48/3=16 Current State: 66:[82, 16], Operations: ['48*1=48', '48/3=16'] Exploring Operation: 82-16=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 6, 23, 16, 41 ]
86
[ "6+23=29", "16+41=57", "29+57=86" ]
Current State: 86:[6, 23, 16, 41], Operations: [] Exploring Operation: 6+23=29, Resulting Numbers: [16, 41, 29] Generated Node #2: [16, 41, 29] from Operation: 6+23=29 Current State: 86:[16, 41, 29], Operations: ['6+23=29'] Exploring Operation: 16+41=57, Resulting Numbers: [29, 57] Generated Node #3: [29, 57] from Operation: 16+41=57 Current State: 86:[29, 57], Operations: ['6+23=29', '16+41=57'] Exploring Operation: 29+57=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 60, 88, 17, 1 ]
44
[ "88-60=28", "17-1=16", "28+16=44" ]
Current State: 44:[60, 88, 17, 1], Operations: [] Exploring Operation: 88-60=28, Resulting Numbers: [17, 1, 28] Generated Node #2: [17, 1, 28] from Operation: 88-60=28 Current State: 44:[17, 1, 28], Operations: ['88-60=28'] Exploring Operation: 17-1=16, Resulting Numbers: [28, 16] Generated Node #3: [28, 16] from Operation: 17-1=16 Current State: 44:[28, 16], Operations: ['88-60=28', '17-1=16'] Exploring Operation: 28+16=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 20, 48, 40, 82 ]
32
[ "40/20=2", "82-48=34", "34-2=32" ]
Current State: 32:[20, 48, 40, 82], Operations: [] Exploring Operation: 40/20=2, Resulting Numbers: [48, 82, 2] Generated Node #2: [48, 82, 2] from Operation: 40/20=2 Current State: 32:[48, 82, 2], Operations: ['40/20=2'] Exploring Operation: 82-48=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 82-48=34 Current State: 32:[2, 34], Operations: ['40/20=2', '82-48=34'] Exploring Operation: 34-2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 24, 93, 59, 43 ]
62
[ "59-43=16", "93*16=1488", "1488/24=62" ]
Current State: 62:[24, 93, 59, 43], Operations: [] Exploring Operation: 59-43=16, Resulting Numbers: [24, 93, 16] Generated Node #2: [24, 93, 16] from Operation: 59-43=16 Current State: 62:[24, 93, 16], Operations: ['59-43=16'] Exploring Operation: 93*16=1488, Resulting Numbers: [24, 1488] Generated Node #3: [24, 1488] from Operation: 93*16=1488 Current State: 62:[24, 1488], Operations: ['59-43=16', '93*16=1488'] Exploring Operation: 1488/24=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 54, 5, 21, 58 ]
89
[ "58-54=4", "21*4=84", "5+84=89" ]
Current State: 89:[54, 5, 21, 58], Operations: [] Exploring Operation: 58-54=4, Resulting Numbers: [5, 21, 4] Generated Node #2: [5, 21, 4] from Operation: 58-54=4 Current State: 89:[5, 21, 4], Operations: ['58-54=4'] Exploring Operation: 21*4=84, Resulting Numbers: [5, 84] Generated Node #3: [5, 84] from Operation: 21*4=84 Current State: 89:[5, 84], Operations: ['58-54=4', '21*4=84'] Exploring Operation: 5+84=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 19, 61, 17, 80 ]
38
[ "19-17=2", "80-61=19", "2*19=38" ]
Current State: 38:[19, 61, 17, 80], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [61, 80, 2] Generated Node #2: [61, 80, 2] from Operation: 19-17=2 Current State: 38:[61, 80, 2], Operations: ['19-17=2'] Exploring Operation: 80-61=19, Resulting Numbers: [2, 19] Generated Node #3: [2, 19] from Operation: 80-61=19 Current State: 38:[2, 19], Operations: ['19-17=2', '80-61=19'] Exploring Operation: 2*19=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 75, 53, 8, 61 ]
76
[ "53+8=61", "61/61=1", "75+1=76" ]
Current State: 76:[75, 53, 8, 61], Operations: [] Exploring Operation: 53+8=61, Resulting Numbers: [75, 61, 61] Generated Node #2: [75, 61, 61] from Operation: 53+8=61 Current State: 76:[75, 61, 61], Operations: ['53+8=61'] Exploring Operation: 61/61=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 61/61=1 Current State: 76:[75, 1], Operations: ['53+8=61', '61/61=1'] Exploring Operation: 75+1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 7, 55, 7, 21 ]
58
[ "7*55=385", "21+385=406", "406/7=58" ]
Current State: 58:[7, 55, 7, 21], Operations: [] Exploring Operation: 7*55=385, Resulting Numbers: [21, 385] Generated Node #2: [21, 385] from Operation: 7*55=385 Current State: 58:[21, 385], Operations: ['7*55=385'] Exploring Operation: 21+385=406, Resulting Numbers: [406] 406,58 equal: Goal Reached Exploring Operation: 406/7=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 80, 56, 20, 46 ]
70
[ "80+56=136", "20+46=66", "136-66=70" ]
Current State: 70:[80, 56, 20, 46], Operations: [] Exploring Operation: 80+56=136, Resulting Numbers: [20, 46, 136] Generated Node #2: [20, 46, 136] from Operation: 80+56=136 Current State: 70:[20, 46, 136], Operations: ['80+56=136'] Exploring Operation: 20+46=66, Resulting Numbers: [136, 66] Generated Node #3: [136, 66] from Operation: 20+46=66 Current State: 70:[136, 66], Operations: ['80+56=136', '20+46=66'] Exploring Operation: 136-66=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 62, 34, 85, 34 ]
91
[ "62-34=28", "85+34=119", "119-28=91" ]
Current State: 91:[62, 34, 85, 34], Operations: [] Exploring Operation: 62-34=28, Resulting Numbers: [85, 28] Generated Node #2: [85, 28] from Operation: 62-34=28 Current State: 91:[85, 28], Operations: ['62-34=28'] Exploring Operation: 85+34=119, Resulting Numbers: [28, 119] Generated Node #3: [28, 119] from Operation: 85+34=119 Current State: 91:[28, 119], Operations: ['62-34=28', '85+34=119'] Exploring Operation: 119-28=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 56, 59, 88, 48 ]
64
[ "59-48=11", "88/11=8", "56+8=64" ]
Current State: 64:[56, 59, 88, 48], Operations: [] Exploring Operation: 59-48=11, Resulting Numbers: [56, 88, 11] Generated Node #2: [56, 88, 11] from Operation: 59-48=11 Current State: 64:[56, 88, 11], Operations: ['59-48=11'] Exploring Operation: 88/11=8, Resulting Numbers: [56, 8] Generated Node #3: [56, 8] from Operation: 88/11=8 Current State: 64:[56, 8], Operations: ['59-48=11', '88/11=8'] Exploring Operation: 56+8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 88, 79, 51, 4 ]
69
[ "88-51=37", "4*37=148", "148-79=69" ]
Current State: 69:[88, 79, 51, 4], Operations: [] Exploring Operation: 88-51=37, Resulting Numbers: [79, 4, 37] Generated Node #2: [79, 4, 37] from Operation: 88-51=37 Current State: 69:[79, 4, 37], Operations: ['88-51=37'] Exploring Operation: 4*37=148, Resulting Numbers: [79, 148] Generated Node #3: [79, 148] from Operation: 4*37=148 Current State: 69:[79, 148], Operations: ['88-51=37', '4*37=148'] Exploring Operation: 148-79=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 30, 48, 3, 15 ]
57
[ "30*3=90", "48-15=33", "90-33=57" ]
Current State: 57:[30, 48, 3, 15], Operations: [] Exploring Operation: 30*3=90, Resulting Numbers: [48, 15, 90] Generated Node #2: [48, 15, 90] from Operation: 30*3=90 Current State: 57:[48, 15, 90], Operations: ['30*3=90'] Exploring Operation: 48-15=33, Resulting Numbers: [90, 33] Generated Node #3: [90, 33] from Operation: 48-15=33 Current State: 57:[90, 33], Operations: ['30*3=90', '48-15=33'] Exploring Operation: 90-33=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 58, 17, 57, 50 ]
66
[ "58-17=41", "57+50=107", "107-41=66" ]
Current State: 66:[58, 17, 57, 50], Operations: [] Exploring Operation: 58-17=41, Resulting Numbers: [57, 50, 41] Generated Node #2: [57, 50, 41] from Operation: 58-17=41 Current State: 66:[57, 50, 41], Operations: ['58-17=41'] Exploring Operation: 57+50=107, Resulting Numbers: [41, 107] Generated Node #3: [41, 107] from Operation: 57+50=107 Current State: 66:[41, 107], Operations: ['58-17=41', '57+50=107'] Exploring Operation: 107-41=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 27, 59, 69, 71 ]
54
[ "27+59=86", "69+71=140", "140-86=54" ]
Current State: 54:[27, 59, 69, 71], Operations: [] Exploring Operation: 27+59=86, Resulting Numbers: [69, 71, 86] Generated Node #2: [69, 71, 86] from Operation: 27+59=86 Current State: 54:[69, 71, 86], Operations: ['27+59=86'] Exploring Operation: 69+71=140, Resulting Numbers: [86, 140] Generated Node #3: [86, 140] from Operation: 69+71=140 Current State: 54:[86, 140], Operations: ['27+59=86', '69+71=140'] Exploring Operation: 140-86=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 42, 49, 86, 1 ]
78
[ "49-42=7", "86-1=85", "85-7=78" ]
Current State: 78:[42, 49, 86, 1], Operations: [] Exploring Operation: 49-42=7, Resulting Numbers: [86, 1, 7] Generated Node #2: [86, 1, 7] from Operation: 49-42=7 Current State: 78:[86, 1, 7], Operations: ['49-42=7'] Exploring Operation: 86-1=85, Resulting Numbers: [7, 85] Generated Node #3: [7, 85] from Operation: 86-1=85 Current State: 78:[7, 85], Operations: ['49-42=7', '86-1=85'] Exploring Operation: 85-7=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 82, 63, 26, 42 ]
35
[ "82-63=19", "42-26=16", "19+16=35" ]
Current State: 35:[82, 63, 26, 42], Operations: [] Exploring Operation: 82-63=19, Resulting Numbers: [26, 42, 19] Generated Node #2: [26, 42, 19] from Operation: 82-63=19 Current State: 35:[26, 42, 19], Operations: ['82-63=19'] Exploring Operation: 42-26=16, Resulting Numbers: [19, 16] Generated Node #3: [19, 16] from Operation: 42-26=16 Current State: 35:[19, 16], Operations: ['82-63=19', '42-26=16'] Exploring Operation: 19+16=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 81, 7, 65, 93 ]
84
[ "81-7=74", "65+93=158", "158-74=84" ]
Current State: 84:[81, 7, 65, 93], Operations: [] Exploring Operation: 81-7=74, Resulting Numbers: [65, 93, 74] Generated Node #2: [65, 93, 74] from Operation: 81-7=74 Current State: 84:[65, 93, 74], Operations: ['81-7=74'] Exploring Operation: 65+93=158, Resulting Numbers: [74, 158] Generated Node #3: [74, 158] from Operation: 65+93=158 Current State: 84:[74, 158], Operations: ['81-7=74', '65+93=158'] Exploring Operation: 158-74=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 67, 39, 5, 4 ]
28
[ "67-39=28", "5-4=1", "28*1=28" ]
Current State: 28:[67, 39, 5, 4], Operations: [] Exploring Operation: 67-39=28, Resulting Numbers: [5, 4, 28] Generated Node #2: [5, 4, 28] from Operation: 67-39=28 Current State: 28:[5, 4, 28], Operations: ['67-39=28'] Exploring Operation: 5-4=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 5-4=1 Current State: 28:[28, 1], Operations: ['67-39=28', '5-4=1'] Exploring Operation: 28*1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 49, 1, 49, 42 ]
41
[ "49+1=50", "49+42=91", "91-50=41" ]
Current State: 41:[49, 1, 49, 42], Operations: [] Exploring Operation: 49+1=50, Resulting Numbers: [42, 50] Generated Node #2: [42, 50] from Operation: 49+1=50 Current State: 41:[42, 50], Operations: ['49+1=50'] Exploring Operation: 49+42=91, Resulting Numbers: [50, 91] Generated Node #3: [50, 91] from Operation: 49+42=91 Current State: 41:[50, 91], Operations: ['49+1=50', '49+42=91'] Exploring Operation: 91-50=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 86, 80, 90, 10 ]
25
[ "86-80=6", "90/6=15", "10+15=25" ]
Current State: 25:[86, 80, 90, 10], Operations: [] Exploring Operation: 86-80=6, Resulting Numbers: [90, 10, 6] Generated Node #2: [90, 10, 6] from Operation: 86-80=6 Current State: 25:[90, 10, 6], Operations: ['86-80=6'] Exploring Operation: 90/6=15, Resulting Numbers: [10, 15] Generated Node #3: [10, 15] from Operation: 90/6=15 Current State: 25:[10, 15], Operations: ['86-80=6', '90/6=15'] Exploring Operation: 10+15=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 50, 63, 40, 55 ]
28
[ "63-50=13", "55-40=15", "13+15=28" ]
Current State: 28:[50, 63, 40, 55], Operations: [] Exploring Operation: 63-50=13, Resulting Numbers: [40, 55, 13] Generated Node #2: [40, 55, 13] from Operation: 63-50=13 Current State: 28:[40, 55, 13], Operations: ['63-50=13'] Exploring Operation: 55-40=15, Resulting Numbers: [13, 15] Generated Node #3: [13, 15] from Operation: 55-40=15 Current State: 28:[13, 15], Operations: ['63-50=13', '55-40=15'] Exploring Operation: 13+15=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 82, 11, 73, 65 ]
20
[ "82+73=155", "65+155=220", "220/11=20" ]
Current State: 20:[82, 11, 73, 65], Operations: [] Exploring Operation: 82+73=155, Resulting Numbers: [11, 65, 155] Generated Node #2: [11, 65, 155] from Operation: 82+73=155 Current State: 20:[11, 65, 155], Operations: ['82+73=155'] Exploring Operation: 65+155=220, Resulting Numbers: [11, 220] Generated Node #3: [11, 220] from Operation: 65+155=220 Current State: 20:[11, 220], Operations: ['82+73=155', '65+155=220'] Exploring Operation: 220/11=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 10, 1, 43, 12 ]
85
[ "12-10=2", "43*2=86", "86-1=85" ]
Current State: 85:[10, 1, 43, 12], Operations: [] Exploring Operation: 12-10=2, Resulting Numbers: [1, 43, 2] Generated Node #2: [1, 43, 2] from Operation: 12-10=2 Current State: 85:[1, 43, 2], Operations: ['12-10=2'] Exploring Operation: 43*2=86, Resulting Numbers: [1, 86] Generated Node #3: [1, 86] from Operation: 43*2=86 Current State: 85:[1, 86], Operations: ['12-10=2', '43*2=86'] Exploring Operation: 86-1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 29, 15, 65, 43 ]
67
[ "15+43=58", "58/29=2", "65+2=67" ]
Current State: 67:[29, 15, 65, 43], Operations: [] Exploring Operation: 15+43=58, Resulting Numbers: [29, 65, 58] Generated Node #2: [29, 65, 58] from Operation: 15+43=58 Current State: 67:[29, 65, 58], Operations: ['15+43=58'] Exploring Operation: 58/29=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 58/29=2 Current State: 67:[65, 2], Operations: ['15+43=58', '58/29=2'] Exploring Operation: 65+2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 80, 56, 74, 5 ]
34
[ "80/5=16", "74-56=18", "16+18=34" ]
Current State: 34:[80, 56, 74, 5], Operations: [] Exploring Operation: 80/5=16, Resulting Numbers: [56, 74, 16] Generated Node #2: [56, 74, 16] from Operation: 80/5=16 Current State: 34:[56, 74, 16], Operations: ['80/5=16'] Exploring Operation: 74-56=18, Resulting Numbers: [16, 18] Generated Node #3: [16, 18] from Operation: 74-56=18 Current State: 34:[16, 18], Operations: ['80/5=16', '74-56=18'] Exploring Operation: 16+18=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 90, 77, 87, 2 ]
95
[ "87-77=10", "10/2=5", "90+5=95" ]
Current State: 95:[90, 77, 87, 2], Operations: [] Exploring Operation: 87-77=10, Resulting Numbers: [90, 2, 10] Generated Node #2: [90, 2, 10] from Operation: 87-77=10 Current State: 95:[90, 2, 10], Operations: ['87-77=10'] Exploring Operation: 10/2=5, Resulting Numbers: [90, 5] Generated Node #3: [90, 5] from Operation: 10/2=5 Current State: 95:[90, 5], Operations: ['87-77=10', '10/2=5'] Exploring Operation: 90+5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 87, 33, 61, 75 ]
42
[ "33*75=2475", "87+2475=2562", "2562/61=42" ]
Current State: 42:[87, 33, 61, 75], Operations: [] Exploring Operation: 33*75=2475, Resulting Numbers: [87, 61, 2475] Generated Node #2: [87, 61, 2475] from Operation: 33*75=2475 Current State: 42:[87, 61, 2475], Operations: ['33*75=2475'] Exploring Operation: 87+2475=2562, Resulting Numbers: [61, 2562] Generated Node #3: [61, 2562] from Operation: 87+2475=2562 Current State: 42:[61, 2562], Operations: ['33*75=2475', '87+2475=2562'] Exploring Operation: 2562/61=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 34, 44, 13, 32 ]
98
[ "44-34=10", "13*10=130", "130-32=98" ]
Current State: 98:[34, 44, 13, 32], Operations: [] Exploring Operation: 44-34=10, Resulting Numbers: [13, 32, 10] Generated Node #2: [13, 32, 10] from Operation: 44-34=10 Current State: 98:[13, 32, 10], Operations: ['44-34=10'] Exploring Operation: 13*10=130, Resulting Numbers: [32, 130] Generated Node #3: [32, 130] from Operation: 13*10=130 Current State: 98:[32, 130], Operations: ['44-34=10', '13*10=130'] Exploring Operation: 130-32=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 53, 59, 56, 23 ]
79
[ "53+59=112", "56-23=33", "112-33=79" ]
Current State: 79:[53, 59, 56, 23], Operations: [] Exploring Operation: 53+59=112, Resulting Numbers: [56, 23, 112] Generated Node #2: [56, 23, 112] from Operation: 53+59=112 Current State: 79:[56, 23, 112], Operations: ['53+59=112'] Exploring Operation: 56-23=33, Resulting Numbers: [112, 33] Generated Node #3: [112, 33] from Operation: 56-23=33 Current State: 79:[112, 33], Operations: ['53+59=112', '56-23=33'] Exploring Operation: 112-33=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 85, 4, 11, 67 ]
37
[ "85*4=340", "67+340=407", "407/11=37" ]
Current State: 37:[85, 4, 11, 67], Operations: [] Exploring Operation: 85*4=340, Resulting Numbers: [11, 67, 340] Generated Node #2: [11, 67, 340] from Operation: 85*4=340 Current State: 37:[11, 67, 340], Operations: ['85*4=340'] Exploring Operation: 67+340=407, Resulting Numbers: [11, 407] Generated Node #3: [11, 407] from Operation: 67+340=407 Current State: 37:[11, 407], Operations: ['85*4=340', '67+340=407'] Exploring Operation: 407/11=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 57, 55, 20, 7 ]
66
[ "57+20=77", "77/7=11", "55+11=66" ]
Current State: 66:[57, 55, 20, 7], Operations: [] Exploring Operation: 57+20=77, Resulting Numbers: [55, 7, 77] Generated Node #2: [55, 7, 77] from Operation: 57+20=77 Current State: 66:[55, 7, 77], Operations: ['57+20=77'] Exploring Operation: 77/7=11, Resulting Numbers: [55, 11] Generated Node #3: [55, 11] from Operation: 77/7=11 Current State: 66:[55, 11], Operations: ['57+20=77', '77/7=11'] Exploring Operation: 55+11=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 75, 94, 79, 59 ]
39
[ "94-75=19", "79-59=20", "19+20=39" ]
Current State: 39:[75, 94, 79, 59], Operations: [] Exploring Operation: 94-75=19, Resulting Numbers: [79, 59, 19] Generated Node #2: [79, 59, 19] from Operation: 94-75=19 Current State: 39:[79, 59, 19], Operations: ['94-75=19'] Exploring Operation: 79-59=20, Resulting Numbers: [19, 20] Generated Node #3: [19, 20] from Operation: 79-59=20 Current State: 39:[19, 20], Operations: ['94-75=19', '79-59=20'] Exploring Operation: 19+20=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 47, 25, 17, 6 ]
63
[ "25*17=425", "425-47=378", "378/6=63" ]
Current State: 63:[47, 25, 17, 6], Operations: [] Exploring Operation: 25*17=425, Resulting Numbers: [47, 6, 425] Generated Node #2: [47, 6, 425] from Operation: 25*17=425 Current State: 63:[47, 6, 425], Operations: ['25*17=425'] Exploring Operation: 425-47=378, Resulting Numbers: [6, 378] Generated Node #3: [6, 378] from Operation: 425-47=378 Current State: 63:[6, 378], Operations: ['25*17=425', '425-47=378'] Exploring Operation: 378/6=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 11, 23, 77, 3 ]
19
[ "11+77=88", "23*3=69", "88-69=19" ]
Current State: 19:[11, 23, 77, 3], Operations: [] Exploring Operation: 11+77=88, Resulting Numbers: [23, 3, 88] Generated Node #2: [23, 3, 88] from Operation: 11+77=88 Current State: 19:[23, 3, 88], Operations: ['11+77=88'] Exploring Operation: 23*3=69, Resulting Numbers: [88, 69] Generated Node #3: [88, 69] from Operation: 23*3=69 Current State: 19:[88, 69], Operations: ['11+77=88', '23*3=69'] Exploring Operation: 88-69=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 85, 63, 43, 14 ]
66
[ "85-43=42", "42/14=3", "63+3=66" ]
Current State: 66:[85, 63, 43, 14], Operations: [] Exploring Operation: 85-43=42, Resulting Numbers: [63, 14, 42] Generated Node #2: [63, 14, 42] from Operation: 85-43=42 Current State: 66:[63, 14, 42], Operations: ['85-43=42'] Exploring Operation: 42/14=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 42/14=3 Current State: 66:[63, 3], Operations: ['85-43=42', '42/14=3'] Exploring Operation: 63+3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 36, 42, 53, 45 ]
55
[ "45-42=3", "36*3=108", "108-53=55" ]
Current State: 55:[36, 42, 53, 45], Operations: [] Exploring Operation: 45-42=3, Resulting Numbers: [36, 53, 3] Generated Node #2: [36, 53, 3] from Operation: 45-42=3 Current State: 55:[36, 53, 3], Operations: ['45-42=3'] Exploring Operation: 36*3=108, Resulting Numbers: [53, 108] Generated Node #3: [53, 108] from Operation: 36*3=108 Current State: 55:[53, 108], Operations: ['45-42=3', '36*3=108'] Exploring Operation: 108-53=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 40, 81, 90, 19 ]
36
[ "40*90=3600", "81+19=100", "3600/100=36" ]
Current State: 36:[40, 81, 90, 19], Operations: [] Exploring Operation: 40*90=3600, Resulting Numbers: [81, 19, 3600] Generated Node #2: [81, 19, 3600] from Operation: 40*90=3600 Current State: 36:[81, 19, 3600], Operations: ['40*90=3600'] Exploring Operation: 81+19=100, Resulting Numbers: [3600, 100] Generated Node #3: [3600, 100] from Operation: 81+19=100 Current State: 36:[3600, 100], Operations: ['40*90=3600', '81+19=100'] Exploring Operation: 3600/100=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 29, 86, 89, 22 ]
95
[ "89-86=3", "22*3=66", "29+66=95" ]
Current State: 95:[29, 86, 89, 22], Operations: [] Exploring Operation: 89-86=3, Resulting Numbers: [29, 22, 3] Generated Node #2: [29, 22, 3] from Operation: 89-86=3 Current State: 95:[29, 22, 3], Operations: ['89-86=3'] Exploring Operation: 22*3=66, Resulting Numbers: [29, 66] Generated Node #3: [29, 66] from Operation: 22*3=66 Current State: 95:[29, 66], Operations: ['89-86=3', '22*3=66'] Exploring Operation: 29+66=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 91, 28, 94, 90 ]
65
[ "91+28=119", "94+90=184", "184-119=65" ]
Current State: 65:[91, 28, 94, 90], Operations: [] Exploring Operation: 91+28=119, Resulting Numbers: [94, 90, 119] Generated Node #2: [94, 90, 119] from Operation: 91+28=119 Current State: 65:[94, 90, 119], Operations: ['91+28=119'] Exploring Operation: 94+90=184, Resulting Numbers: [119, 184] Generated Node #3: [119, 184] from Operation: 94+90=184 Current State: 65:[119, 184], Operations: ['91+28=119', '94+90=184'] Exploring Operation: 184-119=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 6, 66, 9, 37 ]
59
[ "9-6=3", "66/3=22", "37+22=59" ]
Current State: 59:[6, 66, 9, 37], Operations: [] Exploring Operation: 9-6=3, Resulting Numbers: [66, 37, 3] Generated Node #2: [66, 37, 3] from Operation: 9-6=3 Current State: 59:[66, 37, 3], Operations: ['9-6=3'] Exploring Operation: 66/3=22, Resulting Numbers: [37, 22] Generated Node #3: [37, 22] from Operation: 66/3=22 Current State: 59:[37, 22], Operations: ['9-6=3', '66/3=22'] Exploring Operation: 37+22=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 7, 40, 77, 39 ]
21
[ "40+77=117", "7*117=819", "819/39=21" ]
Current State: 21:[7, 40, 77, 39], Operations: [] Exploring Operation: 40+77=117, Resulting Numbers: [7, 39, 117] Generated Node #2: [7, 39, 117] from Operation: 40+77=117 Current State: 21:[7, 39, 117], Operations: ['40+77=117'] Exploring Operation: 7*117=819, Resulting Numbers: [39, 819] Generated Node #3: [39, 819] from Operation: 7*117=819 Current State: 21:[39, 819], Operations: ['40+77=117', '7*117=819'] Exploring Operation: 819/39=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 88, 20, 90, 75 ]
90
[ "88+20=108", "75*108=8100", "8100/90=90" ]
Current State: 90:[88, 20, 90, 75], Operations: [] Exploring Operation: 88+20=108, Resulting Numbers: [90, 75, 108] Generated Node #2: [90, 75, 108] from Operation: 88+20=108 Current State: 90:[90, 75, 108], Operations: ['88+20=108'] Exploring Operation: 75*108=8100, Resulting Numbers: [90, 8100] Generated Node #3: [90, 8100] from Operation: 75*108=8100 Current State: 90:[90, 8100], Operations: ['88+20=108', '75*108=8100'] Exploring Operation: 8100/90=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 12, 19, 23, 10 ]
78
[ "12*10=120", "19+23=42", "120-42=78" ]
Current State: 78:[12, 19, 23, 10], Operations: [] Exploring Operation: 12*10=120, Resulting Numbers: [19, 23, 120] Generated Node #2: [19, 23, 120] from Operation: 12*10=120 Current State: 78:[19, 23, 120], Operations: ['12*10=120'] Exploring Operation: 19+23=42, Resulting Numbers: [120, 42] Generated Node #3: [120, 42] from Operation: 19+23=42 Current State: 78:[120, 42], Operations: ['12*10=120', '19+23=42'] Exploring Operation: 120-42=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 6, 6, 34, 54 ]
21
[ "6/6=1", "54-34=20", "1+20=21" ]
Current State: 21:[6, 6, 34, 54], Operations: [] Exploring Operation: 6/6=1, Resulting Numbers: [34, 54, 1] Generated Node #2: [34, 54, 1] from Operation: 6/6=1 Current State: 21:[34, 54, 1], Operations: ['6/6=1'] Exploring Operation: 54-34=20, Resulting Numbers: [1, 20] Generated Node #3: [1, 20] from Operation: 54-34=20 Current State: 21:[1, 20], Operations: ['6/6=1', '54-34=20'] Exploring Operation: 1+20=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 84, 16, 86, 74 ]
80
[ "84-16=68", "86-74=12", "68+12=80" ]
Current State: 80:[84, 16, 86, 74], Operations: [] Exploring Operation: 84-16=68, Resulting Numbers: [86, 74, 68] Generated Node #2: [86, 74, 68] from Operation: 84-16=68 Current State: 80:[86, 74, 68], Operations: ['84-16=68'] Exploring Operation: 86-74=12, Resulting Numbers: [68, 12] Generated Node #3: [68, 12] from Operation: 86-74=12 Current State: 80:[68, 12], Operations: ['84-16=68', '86-74=12'] Exploring Operation: 68+12=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 3, 12, 13, 38 ]
37
[ "12+13=25", "3*25=75", "75-38=37" ]
Current State: 37:[3, 12, 13, 38], Operations: [] Exploring Operation: 12+13=25, Resulting Numbers: [3, 38, 25] Generated Node #2: [3, 38, 25] from Operation: 12+13=25 Current State: 37:[3, 38, 25], Operations: ['12+13=25'] Exploring Operation: 3*25=75, Resulting Numbers: [38, 75] Generated Node #3: [38, 75] from Operation: 3*25=75 Current State: 37:[38, 75], Operations: ['12+13=25', '3*25=75'] Exploring Operation: 75-38=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 28, 31, 77, 53 ]
21
[ "31-28=3", "77-53=24", "24-3=21" ]
Current State: 21:[28, 31, 77, 53], Operations: [] Exploring Operation: 31-28=3, Resulting Numbers: [77, 53, 3] Generated Node #2: [77, 53, 3] from Operation: 31-28=3 Current State: 21:[77, 53, 3], Operations: ['31-28=3'] Exploring Operation: 77-53=24, Resulting Numbers: [3, 24] Generated Node #3: [3, 24] from Operation: 77-53=24 Current State: 21:[3, 24], Operations: ['31-28=3', '77-53=24'] Exploring Operation: 24-3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 6, 61, 18, 70 ]
99
[ "6*18=108", "70-61=9", "108-9=99" ]
Current State: 99:[6, 61, 18, 70], Operations: [] Exploring Operation: 6*18=108, Resulting Numbers: [61, 70, 108] Generated Node #2: [61, 70, 108] from Operation: 6*18=108 Current State: 99:[61, 70, 108], Operations: ['6*18=108'] Exploring Operation: 70-61=9, Resulting Numbers: [108, 9] Generated Node #3: [108, 9] from Operation: 70-61=9 Current State: 99:[108, 9], Operations: ['6*18=108', '70-61=9'] Exploring Operation: 108-9=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 78, 72, 77, 82 ]
32
[ "78+82=160", "77-72=5", "160/5=32" ]
Current State: 32:[78, 72, 77, 82], Operations: [] Exploring Operation: 78+82=160, Resulting Numbers: [72, 77, 160] Generated Node #2: [72, 77, 160] from Operation: 78+82=160 Current State: 32:[72, 77, 160], Operations: ['78+82=160'] Exploring Operation: 77-72=5, Resulting Numbers: [160, 5] Generated Node #3: [160, 5] from Operation: 77-72=5 Current State: 32:[160, 5], Operations: ['78+82=160', '77-72=5'] Exploring Operation: 160/5=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 35, 83, 99, 78 ]
76
[ "83-78=5", "35*5=175", "175-99=76" ]
Current State: 76:[35, 83, 99, 78], Operations: [] Exploring Operation: 83-78=5, Resulting Numbers: [35, 99, 5] Generated Node #2: [35, 99, 5] from Operation: 83-78=5 Current State: 76:[35, 99, 5], Operations: ['83-78=5'] Exploring Operation: 35*5=175, Resulting Numbers: [99, 175] Generated Node #3: [99, 175] from Operation: 35*5=175 Current State: 76:[99, 175], Operations: ['83-78=5', '35*5=175'] Exploring Operation: 175-99=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 5, 61, 35, 53 ]
75
[ "61-53=8", "5*8=40", "35+40=75" ]
Current State: 75:[5, 61, 35, 53], Operations: [] Exploring Operation: 61-53=8, Resulting Numbers: [5, 35, 8] Generated Node #2: [5, 35, 8] from Operation: 61-53=8 Current State: 75:[5, 35, 8], Operations: ['61-53=8'] Exploring Operation: 5*8=40, Resulting Numbers: [35, 40] Generated Node #3: [35, 40] from Operation: 5*8=40 Current State: 75:[35, 40], Operations: ['61-53=8', '5*8=40'] Exploring Operation: 35+40=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 31, 52, 13, 84 ]
92
[ "52-31=21", "84-13=71", "21+71=92" ]
Current State: 92:[31, 52, 13, 84], Operations: [] Exploring Operation: 52-31=21, Resulting Numbers: [13, 84, 21] Generated Node #2: [13, 84, 21] from Operation: 52-31=21 Current State: 92:[13, 84, 21], Operations: ['52-31=21'] Exploring Operation: 84-13=71, Resulting Numbers: [21, 71] Generated Node #3: [21, 71] from Operation: 84-13=71 Current State: 92:[21, 71], Operations: ['52-31=21', '84-13=71'] Exploring Operation: 21+71=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 1, 34, 2, 75 ]
58
[ "1*34=34", "34/2=17", "75-17=58" ]
Current State: 58:[1, 34, 2, 75], Operations: [] Exploring Operation: 1*34=34, Resulting Numbers: [2, 75, 34] Generated Node #2: [2, 75, 34] from Operation: 1*34=34 Current State: 58:[2, 75, 34], Operations: ['1*34=34'] Exploring Operation: 34/2=17, Resulting Numbers: [75, 17] Generated Node #3: [75, 17] from Operation: 34/2=17 Current State: 58:[75, 17], Operations: ['1*34=34', '34/2=17'] Exploring Operation: 75-17=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 37, 40, 82, 85 ]
71
[ "85-82=3", "37*3=111", "111-40=71" ]
Current State: 71:[37, 40, 82, 85], Operations: [] Exploring Operation: 85-82=3, Resulting Numbers: [37, 40, 3] Generated Node #2: [37, 40, 3] from Operation: 85-82=3 Current State: 71:[37, 40, 3], Operations: ['85-82=3'] Exploring Operation: 37*3=111, Resulting Numbers: [40, 111] Generated Node #3: [40, 111] from Operation: 37*3=111 Current State: 71:[40, 111], Operations: ['85-82=3', '37*3=111'] Exploring Operation: 111-40=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 30, 32, 87, 50 ]
62
[ "32-30=2", "50/2=25", "87-25=62" ]
Current State: 62:[30, 32, 87, 50], Operations: [] Exploring Operation: 32-30=2, Resulting Numbers: [87, 50, 2] Generated Node #2: [87, 50, 2] from Operation: 32-30=2 Current State: 62:[87, 50, 2], Operations: ['32-30=2'] Exploring Operation: 50/2=25, Resulting Numbers: [87, 25] Generated Node #3: [87, 25] from Operation: 50/2=25 Current State: 62:[87, 25], Operations: ['32-30=2', '50/2=25'] Exploring Operation: 87-25=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 15, 71, 33, 38 ]
81
[ "15+71=86", "38-33=5", "86-5=81" ]
Current State: 81:[15, 71, 33, 38], Operations: [] Exploring Operation: 15+71=86, Resulting Numbers: [33, 38, 86] Generated Node #2: [33, 38, 86] from Operation: 15+71=86 Current State: 81:[33, 38, 86], Operations: ['15+71=86'] Exploring Operation: 38-33=5, Resulting Numbers: [86, 5] Generated Node #3: [86, 5] from Operation: 38-33=5 Current State: 81:[86, 5], Operations: ['15+71=86', '38-33=5'] Exploring Operation: 86-5=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 34, 4, 8, 31 ]
20
[ "34-8=26", "31-26=5", "4*5=20" ]
Current State: 20:[34, 4, 8, 31], Operations: [] Exploring Operation: 34-8=26, Resulting Numbers: [4, 31, 26] Generated Node #2: [4, 31, 26] from Operation: 34-8=26 Current State: 20:[4, 31, 26], Operations: ['34-8=26'] Exploring Operation: 31-26=5, Resulting Numbers: [4, 5] Generated Node #3: [4, 5] from Operation: 31-26=5 Current State: 20:[4, 5], Operations: ['34-8=26', '31-26=5'] Exploring Operation: 4*5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 44, 51, 8, 5 ]
96
[ "51-44=7", "5+7=12", "8*12=96" ]
Current State: 96:[44, 51, 8, 5], Operations: [] Exploring Operation: 51-44=7, Resulting Numbers: [8, 5, 7] Generated Node #2: [8, 5, 7] from Operation: 51-44=7 Current State: 96:[8, 5, 7], Operations: ['51-44=7'] Exploring Operation: 5+7=12, Resulting Numbers: [8, 12] Generated Node #3: [8, 12] from Operation: 5+7=12 Current State: 96:[8, 12], Operations: ['51-44=7', '5+7=12'] Exploring Operation: 8*12=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 2, 1, 80, 16 ]
10
[ "2*1=2", "80/16=5", "2*5=10" ]
Current State: 10:[2, 1, 80, 16], Operations: [] Exploring Operation: 2*1=2, Resulting Numbers: [80, 16, 2] Generated Node #2: [80, 16, 2] from Operation: 2*1=2 Current State: 10:[80, 16, 2], Operations: ['2*1=2'] Exploring Operation: 80/16=5, Resulting Numbers: [2, 5] Generated Node #3: [2, 5] from Operation: 80/16=5 Current State: 10:[2, 5], Operations: ['2*1=2', '80/16=5'] Exploring Operation: 2*5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 76, 32, 59, 68 ]
19
[ "76+32=108", "59+68=127", "127-108=19" ]
Current State: 19:[76, 32, 59, 68], Operations: [] Exploring Operation: 76+32=108, Resulting Numbers: [59, 68, 108] Generated Node #2: [59, 68, 108] from Operation: 76+32=108 Current State: 19:[59, 68, 108], Operations: ['76+32=108'] Exploring Operation: 59+68=127, Resulting Numbers: [108, 127] Generated Node #3: [108, 127] from Operation: 59+68=127 Current State: 19:[108, 127], Operations: ['76+32=108', '59+68=127'] Exploring Operation: 127-108=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 56, 1, 12, 18 ]
86
[ "56*1=56", "12+18=30", "56+30=86" ]
Current State: 86:[56, 1, 12, 18], Operations: [] Exploring Operation: 56*1=56, Resulting Numbers: [12, 18, 56] Generated Node #2: [12, 18, 56] from Operation: 56*1=56 Current State: 86:[12, 18, 56], Operations: ['56*1=56'] Exploring Operation: 12+18=30, Resulting Numbers: [56, 30] Generated Node #3: [56, 30] from Operation: 12+18=30 Current State: 86:[56, 30], Operations: ['56*1=56', '12+18=30'] Exploring Operation: 56+30=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 51, 88, 90, 83 ]
34
[ "51+88=139", "90+83=173", "173-139=34" ]
Current State: 34:[51, 88, 90, 83], Operations: [] Exploring Operation: 51+88=139, Resulting Numbers: [90, 83, 139] Generated Node #2: [90, 83, 139] from Operation: 51+88=139 Current State: 34:[90, 83, 139], Operations: ['51+88=139'] Exploring Operation: 90+83=173, Resulting Numbers: [139, 173] Generated Node #3: [139, 173] from Operation: 90+83=173 Current State: 34:[139, 173], Operations: ['51+88=139', '90+83=173'] Exploring Operation: 173-139=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 48, 28, 94, 21 ]
58
[ "48*21=1008", "1008/28=36", "94-36=58" ]
Current State: 58:[48, 28, 94, 21], Operations: [] Exploring Operation: 48*21=1008, Resulting Numbers: [28, 94, 1008] Generated Node #2: [28, 94, 1008] from Operation: 48*21=1008 Current State: 58:[28, 94, 1008], Operations: ['48*21=1008'] Exploring Operation: 1008/28=36, Resulting Numbers: [94, 36] Generated Node #3: [94, 36] from Operation: 1008/28=36 Current State: 58:[94, 36], Operations: ['48*21=1008', '1008/28=36'] Exploring Operation: 94-36=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 9, 96, 42, 21 ]
89
[ "96-9=87", "42/21=2", "87+2=89" ]
Current State: 89:[9, 96, 42, 21], Operations: [] Exploring Operation: 96-9=87, Resulting Numbers: [42, 21, 87] Generated Node #2: [42, 21, 87] from Operation: 96-9=87 Current State: 89:[42, 21, 87], Operations: ['96-9=87'] Exploring Operation: 42/21=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 42/21=2 Current State: 89:[87, 2], Operations: ['96-9=87', '42/21=2'] Exploring Operation: 87+2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4