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
[ 15, 22, 75, 14 ]
31
[ "75/15=5", "22+14=36", "36-5=31" ]
Current State: 31:[15, 22, 75, 14], Operations: [] Exploring Operation: 75/15=5, Resulting Numbers: [22, 14, 5] Generated Node #2: [22, 14, 5] from Operation: 75/15=5 Current State: 31:[22, 14, 5], Operations: ['75/15=5'] Exploring Operation: 22+14=36, Resulting Numbers: [5, 36] Generated Node #3: [5, 36] from Operation: 22+14=36 Current State: 31:[5, 36], Operations: ['75/15=5', '22+14=36'] Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 84, 66, 36, 46 ]
23
[ "84-66=18", "36/18=2", "46/2=23" ]
Current State: 23:[84, 66, 36, 46], Operations: [] Exploring Operation: 84-66=18, Resulting Numbers: [36, 46, 18] Generated Node #2: [36, 46, 18] from Operation: 84-66=18 Current State: 23:[36, 46, 18], Operations: ['84-66=18'] Exploring Operation: 36/18=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 36/18=2 Current State: 23:[46, 2], Operations: ['84-66=18', '36/18=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 80, 7, 43, 3 ]
35
[ "7+3=10", "80/10=8", "43-8=35" ]
Current State: 35:[80, 7, 43, 3], Operations: [] Exploring Operation: 7+3=10, Resulting Numbers: [80, 43, 10] Generated Node #2: [80, 43, 10] from Operation: 7+3=10 Current State: 35:[80, 43, 10], Operations: ['7+3=10'] Exploring Operation: 80/10=8, Resulting Numbers: [43, 8] Generated Node #3: [43, 8] from Operation: 80/10=8 Current State: 35:[43, 8], Operations: ['7+3=10', '80/10=8'] Exploring Operation: 43-8=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 13, 44, 33, 54 ]
56
[ "44-13=31", "33+54=87", "87-31=56" ]
Current State: 56:[13, 44, 33, 54], Operations: [] Exploring Operation: 44-13=31, Resulting Numbers: [33, 54, 31] Generated Node #2: [33, 54, 31] from Operation: 44-13=31 Current State: 56:[33, 54, 31], Operations: ['44-13=31'] Exploring Operation: 33+54=87, Resulting Numbers: [31, 87] Generated Node #3: [31, 87] from Operation: 33+54=87 Current State: 56:[31, 87], Operations: ['44-13=31', '33+54=87'] Exploring Operation: 87-31=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 90, 79, 2, 45 ]
80
[ "90/2=45", "45/45=1", "79+1=80" ]
Current State: 80:[90, 79, 2, 45], Operations: [] Exploring Operation: 90/2=45, Resulting Numbers: [79, 45, 45] Generated Node #2: [79, 45, 45] from Operation: 90/2=45 Current State: 80:[79, 45, 45], Operations: ['90/2=45'] Exploring Operation: 45/45=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 45/45=1 Current State: 80:[79, 1], Operations: ['90/2=45', '45/45=1'] Exploring Operation: 79+1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 28, 68, 24, 95 ]
84
[ "68+24=92", "95-92=3", "28*3=84" ]
Current State: 84:[28, 68, 24, 95], Operations: [] Exploring Operation: 68+24=92, Resulting Numbers: [28, 95, 92] Generated Node #2: [28, 95, 92] from Operation: 68+24=92 Current State: 84:[28, 95, 92], Operations: ['68+24=92'] Exploring Operation: 95-92=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 95-92=3 Current State: 84:[28, 3], Operations: ['68+24=92', '95-92=3'] Exploring Operation: 28*3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 27, 12, 16, 87 ]
32
[ "27+12=39", "87-16=71", "71-39=32" ]
Current State: 32:[27, 12, 16, 87], Operations: [] Exploring Operation: 27+12=39, Resulting Numbers: [16, 87, 39] Generated Node #2: [16, 87, 39] from Operation: 27+12=39 Current State: 32:[16, 87, 39], Operations: ['27+12=39'] Exploring Operation: 87-16=71, Resulting Numbers: [39, 71] Generated Node #3: [39, 71] from Operation: 87-16=71 Current State: 32:[39, 71], Operations: ['27+12=39', '87-16=71'] Exploring Operation: 71-39=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 24, 80, 16, 10 ]
35
[ "80-24=56", "10*56=560", "560/16=35" ]
Current State: 35:[24, 80, 16, 10], Operations: [] Exploring Operation: 80-24=56, Resulting Numbers: [16, 10, 56] Generated Node #2: [16, 10, 56] from Operation: 80-24=56 Current State: 35:[16, 10, 56], Operations: ['80-24=56'] Exploring Operation: 10*56=560, Resulting Numbers: [16, 560] Generated Node #3: [16, 560] from Operation: 10*56=560 Current State: 35:[16, 560], Operations: ['80-24=56', '10*56=560'] Exploring Operation: 560/16=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 58, 98, 82, 24 ]
97
[ "82-58=24", "24/24=1", "98-1=97" ]
Current State: 97:[58, 98, 82, 24], Operations: [] Exploring Operation: 82-58=24, Resulting Numbers: [98, 24, 24] Generated Node #2: [98, 24, 24] from Operation: 82-58=24 Current State: 97:[98, 24, 24], Operations: ['82-58=24'] Exploring Operation: 24/24=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 24/24=1 Current State: 97:[98, 1], Operations: ['82-58=24', '24/24=1'] Exploring Operation: 98-1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 6, 64, 46, 11 ]
35
[ "6+64=70", "46-11=35", "70-35=35" ]
Current State: 35:[6, 64, 46, 11], Operations: [] Exploring Operation: 6+64=70, Resulting Numbers: [46, 11, 70] Generated Node #2: [46, 11, 70] from Operation: 6+64=70 Current State: 35:[46, 11, 70], Operations: ['6+64=70'] Exploring Operation: 46-11=35, Resulting Numbers: [70, 35] Generated Node #3: [70, 35] from Operation: 46-11=35 Current State: 35:[70, 35], Operations: ['6+64=70', '46-11=35'] Exploring Operation: 70-35=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 1, 33, 4, 92 ]
73
[ "1+4=5", "33*5=165", "165-92=73" ]
Current State: 73:[1, 33, 4, 92], Operations: [] Exploring Operation: 1+4=5, Resulting Numbers: [33, 92, 5] Generated Node #2: [33, 92, 5] from Operation: 1+4=5 Current State: 73:[33, 92, 5], Operations: ['1+4=5'] Exploring Operation: 33*5=165, Resulting Numbers: [92, 165] Generated Node #3: [92, 165] from Operation: 33*5=165 Current State: 73:[92, 165], Operations: ['1+4=5', '33*5=165'] Exploring Operation: 165-92=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 46, 24, 54, 80 ]
77
[ "54-46=8", "24/8=3", "80-3=77" ]
Current State: 77:[46, 24, 54, 80], Operations: [] Exploring Operation: 54-46=8, Resulting Numbers: [24, 80, 8] Generated Node #2: [24, 80, 8] from Operation: 54-46=8 Current State: 77:[24, 80, 8], Operations: ['54-46=8'] Exploring Operation: 24/8=3, Resulting Numbers: [80, 3] Generated Node #3: [80, 3] from Operation: 24/8=3 Current State: 77:[80, 3], Operations: ['54-46=8', '24/8=3'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 98, 99, 47, 63 ]
17
[ "99-98=1", "63-47=16", "1+16=17" ]
Current State: 17:[98, 99, 47, 63], Operations: [] Exploring Operation: 99-98=1, Resulting Numbers: [47, 63, 1] Generated Node #2: [47, 63, 1] from Operation: 99-98=1 Current State: 17:[47, 63, 1], Operations: ['99-98=1'] Exploring Operation: 63-47=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 63-47=16 Current State: 17:[1, 16], Operations: ['99-98=1', '63-47=16'] Exploring Operation: 1+16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 16, 27, 15, 2 ]
73
[ "16+27=43", "15*2=30", "43+30=73" ]
Current State: 73:[16, 27, 15, 2], Operations: [] Exploring Operation: 16+27=43, Resulting Numbers: [15, 2, 43] Generated Node #2: [15, 2, 43] from Operation: 16+27=43 Current State: 73:[15, 2, 43], Operations: ['16+27=43'] Exploring Operation: 15*2=30, Resulting Numbers: [43, 30] Generated Node #3: [43, 30] from Operation: 15*2=30 Current State: 73:[43, 30], Operations: ['16+27=43', '15*2=30'] Exploring Operation: 43+30=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 65, 14, 18, 40 ]
73
[ "65-14=51", "40-18=22", "51+22=73" ]
Current State: 73:[65, 14, 18, 40], Operations: [] Exploring Operation: 65-14=51, Resulting Numbers: [18, 40, 51] Generated Node #2: [18, 40, 51] from Operation: 65-14=51 Current State: 73:[18, 40, 51], Operations: ['65-14=51'] Exploring Operation: 40-18=22, Resulting Numbers: [51, 22] Generated Node #3: [51, 22] from Operation: 40-18=22 Current State: 73:[51, 22], Operations: ['65-14=51', '40-18=22'] Exploring Operation: 51+22=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 22, 51, 37, 3 ]
22
[ "51-22=29", "37+29=66", "66/3=22" ]
Current State: 22:[22, 51, 37, 3], Operations: [] Exploring Operation: 51-22=29, Resulting Numbers: [37, 3, 29] Generated Node #2: [37, 3, 29] from Operation: 51-22=29 Current State: 22:[37, 3, 29], Operations: ['51-22=29'] Exploring Operation: 37+29=66, Resulting Numbers: [3, 66] Generated Node #3: [3, 66] from Operation: 37+29=66 Current State: 22:[3, 66], Operations: ['51-22=29', '37+29=66'] Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 34, 31, 84, 42 ]
99
[ "34*84=2856", "2856/42=68", "31+68=99" ]
Current State: 99:[34, 31, 84, 42], Operations: [] Exploring Operation: 34*84=2856, Resulting Numbers: [31, 42, 2856] Generated Node #2: [31, 42, 2856] from Operation: 34*84=2856 Current State: 99:[31, 42, 2856], Operations: ['34*84=2856'] Exploring Operation: 2856/42=68, Resulting Numbers: [31, 68] Generated Node #3: [31, 68] from Operation: 2856/42=68 Current State: 99:[31, 68], Operations: ['34*84=2856', '2856/42=68'] Exploring Operation: 31+68=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 8, 11, 32, 38 ]
59
[ "38-32=6", "8*6=48", "11+48=59" ]
Current State: 59:[8, 11, 32, 38], Operations: [] Exploring Operation: 38-32=6, Resulting Numbers: [8, 11, 6] Generated Node #2: [8, 11, 6] from Operation: 38-32=6 Current State: 59:[8, 11, 6], Operations: ['38-32=6'] Exploring Operation: 8*6=48, Resulting Numbers: [11, 48] Generated Node #3: [11, 48] from Operation: 8*6=48 Current State: 59:[11, 48], Operations: ['38-32=6', '8*6=48'] Exploring Operation: 11+48=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 66, 20, 2, 73 ]
30
[ "66+20=86", "86/2=43", "73-43=30" ]
Current State: 30:[66, 20, 2, 73], Operations: [] Exploring Operation: 66+20=86, Resulting Numbers: [2, 73, 86] Generated Node #2: [2, 73, 86] from Operation: 66+20=86 Current State: 30:[2, 73, 86], Operations: ['66+20=86'] Exploring Operation: 86/2=43, Resulting Numbers: [73, 43] Generated Node #3: [73, 43] from Operation: 86/2=43 Current State: 30:[73, 43], Operations: ['66+20=86', '86/2=43'] Exploring Operation: 73-43=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 7, 7, 21, 42 ]
35
[ "7+7=14", "42-21=21", "14+21=35" ]
Current State: 35:[7, 7, 21, 42], Operations: [] Exploring Operation: 7+7=14, Resulting Numbers: [21, 42, 14] Generated Node #2: [21, 42, 14] from Operation: 7+7=14 Current State: 35:[21, 42, 14], Operations: ['7+7=14'] Exploring Operation: 42-21=21, Resulting Numbers: [14, 21] Generated Node #3: [14, 21] from Operation: 42-21=21 Current State: 35:[14, 21], Operations: ['7+7=14', '42-21=21'] Exploring Operation: 14+21=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 39, 48, 47, 24 ]
32
[ "48-39=9", "47-24=23", "9+23=32" ]
Current State: 32:[39, 48, 47, 24], Operations: [] Exploring Operation: 48-39=9, Resulting Numbers: [47, 24, 9] Generated Node #2: [47, 24, 9] from Operation: 48-39=9 Current State: 32:[47, 24, 9], Operations: ['48-39=9'] Exploring Operation: 47-24=23, Resulting Numbers: [9, 23] Generated Node #3: [9, 23] from Operation: 47-24=23 Current State: 32:[9, 23], Operations: ['48-39=9', '47-24=23'] Exploring Operation: 9+23=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 30, 55, 68, 60 ]
26
[ "60/30=2", "68-55=13", "2*13=26" ]
Current State: 26:[30, 55, 68, 60], Operations: [] Exploring Operation: 60/30=2, Resulting Numbers: [55, 68, 2] Generated Node #2: [55, 68, 2] from Operation: 60/30=2 Current State: 26:[55, 68, 2], Operations: ['60/30=2'] Exploring Operation: 68-55=13, Resulting Numbers: [2, 13] Generated Node #3: [2, 13] from Operation: 68-55=13 Current State: 26:[2, 13], Operations: ['60/30=2', '68-55=13'] Exploring Operation: 2*13=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 10, 68, 28, 2 ]
44
[ "68-10=58", "28/2=14", "58-14=44" ]
Current State: 44:[10, 68, 28, 2], Operations: [] Exploring Operation: 68-10=58, Resulting Numbers: [28, 2, 58] Generated Node #2: [28, 2, 58] from Operation: 68-10=58 Current State: 44:[28, 2, 58], Operations: ['68-10=58'] Exploring Operation: 28/2=14, Resulting Numbers: [58, 14] Generated Node #3: [58, 14] from Operation: 28/2=14 Current State: 44:[58, 14], Operations: ['68-10=58', '28/2=14'] Exploring Operation: 58-14=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 8, 31, 97, 94 ]
42
[ "8+31=39", "97-94=3", "39+3=42" ]
Current State: 42:[8, 31, 97, 94], Operations: [] Exploring Operation: 8+31=39, Resulting Numbers: [97, 94, 39] Generated Node #2: [97, 94, 39] from Operation: 8+31=39 Current State: 42:[97, 94, 39], Operations: ['8+31=39'] Exploring Operation: 97-94=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 97-94=3 Current State: 42:[39, 3], Operations: ['8+31=39', '97-94=3'] Exploring Operation: 39+3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 83, 90, 5, 2 ]
92
[ "83+5=88", "90*2=180", "180-88=92" ]
Current State: 92:[83, 90, 5, 2], Operations: [] Exploring Operation: 83+5=88, Resulting Numbers: [90, 2, 88] Generated Node #2: [90, 2, 88] from Operation: 83+5=88 Current State: 92:[90, 2, 88], Operations: ['83+5=88'] Exploring Operation: 90*2=180, Resulting Numbers: [88, 180] Generated Node #3: [88, 180] from Operation: 90*2=180 Current State: 92:[88, 180], Operations: ['83+5=88', '90*2=180'] Exploring Operation: 180-88=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 82, 92, 84, 40 ]
87
[ "92-84=8", "40/8=5", "82+5=87" ]
Current State: 87:[82, 92, 84, 40], Operations: [] Exploring Operation: 92-84=8, Resulting Numbers: [82, 40, 8] Generated Node #2: [82, 40, 8] from Operation: 92-84=8 Current State: 87:[82, 40, 8], Operations: ['92-84=8'] Exploring Operation: 40/8=5, Resulting Numbers: [82, 5] Generated Node #3: [82, 5] from Operation: 40/8=5 Current State: 87:[82, 5], Operations: ['92-84=8', '40/8=5'] Exploring Operation: 82+5=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 82, 92, 14, 22 ]
14
[ "82+92=174", "22+174=196", "196/14=14" ]
Current State: 14:[82, 92, 14, 22], Operations: [] Exploring Operation: 82+92=174, Resulting Numbers: [14, 22, 174] Generated Node #2: [14, 22, 174] from Operation: 82+92=174 Current State: 14:[14, 22, 174], Operations: ['82+92=174'] Exploring Operation: 22+174=196, Resulting Numbers: [14, 196] Generated Node #3: [14, 196] from Operation: 22+174=196 Current State: 14:[14, 196], Operations: ['82+92=174', '22+174=196'] Exploring Operation: 196/14=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 39, 33, 36, 11 ]
24
[ "36-33=3", "39/3=13", "11+13=24" ]
Current State: 24:[39, 33, 36, 11], Operations: [] Exploring Operation: 36-33=3, Resulting Numbers: [39, 11, 3] Generated Node #2: [39, 11, 3] from Operation: 36-33=3 Current State: 24:[39, 11, 3], Operations: ['36-33=3'] Exploring Operation: 39/3=13, Resulting Numbers: [11, 13] Generated Node #3: [11, 13] from Operation: 39/3=13 Current State: 24:[11, 13], Operations: ['36-33=3', '39/3=13'] Exploring Operation: 11+13=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 11, 85, 76, 28 ]
48
[ "11+85=96", "76-28=48", "96-48=48" ]
Current State: 48:[11, 85, 76, 28], Operations: [] Exploring Operation: 11+85=96, Resulting Numbers: [76, 28, 96] Generated Node #2: [76, 28, 96] from Operation: 11+85=96 Current State: 48:[76, 28, 96], Operations: ['11+85=96'] Exploring Operation: 76-28=48, Resulting Numbers: [96, 48] Generated Node #3: [96, 48] from Operation: 76-28=48 Current State: 48:[96, 48], Operations: ['11+85=96', '76-28=48'] Exploring Operation: 96-48=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 64, 73, 60, 66 ]
47
[ "66-64=2", "60*2=120", "120-73=47" ]
Current State: 47:[64, 73, 60, 66], Operations: [] Exploring Operation: 66-64=2, Resulting Numbers: [73, 60, 2] Generated Node #2: [73, 60, 2] from Operation: 66-64=2 Current State: 47:[73, 60, 2], Operations: ['66-64=2'] Exploring Operation: 60*2=120, Resulting Numbers: [73, 120] Generated Node #3: [73, 120] from Operation: 60*2=120 Current State: 47:[73, 120], Operations: ['66-64=2', '60*2=120'] Exploring Operation: 120-73=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 21, 50, 1, 81 ]
11
[ "21+50=71", "1+81=82", "82-71=11" ]
Current State: 11:[21, 50, 1, 81], Operations: [] Exploring Operation: 21+50=71, Resulting Numbers: [1, 81, 71] Generated Node #2: [1, 81, 71] from Operation: 21+50=71 Current State: 11:[1, 81, 71], Operations: ['21+50=71'] Exploring Operation: 1+81=82, Resulting Numbers: [71, 82] Generated Node #3: [71, 82] from Operation: 1+81=82 Current State: 11:[71, 82], Operations: ['21+50=71', '1+81=82'] Exploring Operation: 82-71=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 35, 71, 72, 9 ]
98
[ "35+71=106", "72/9=8", "106-8=98" ]
Current State: 98:[35, 71, 72, 9], Operations: [] Exploring Operation: 35+71=106, Resulting Numbers: [72, 9, 106] Generated Node #2: [72, 9, 106] from Operation: 35+71=106 Current State: 98:[72, 9, 106], Operations: ['35+71=106'] Exploring Operation: 72/9=8, Resulting Numbers: [106, 8] Generated Node #3: [106, 8] from Operation: 72/9=8 Current State: 98:[106, 8], Operations: ['35+71=106', '72/9=8'] Exploring Operation: 106-8=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 51, 38, 52, 41 ]
80
[ "51-38=13", "52+41=93", "93-13=80" ]
Current State: 80:[51, 38, 52, 41], Operations: [] Exploring Operation: 51-38=13, Resulting Numbers: [52, 41, 13] Generated Node #2: [52, 41, 13] from Operation: 51-38=13 Current State: 80:[52, 41, 13], Operations: ['51-38=13'] Exploring Operation: 52+41=93, Resulting Numbers: [13, 93] Generated Node #3: [13, 93] from Operation: 52+41=93 Current State: 80:[13, 93], Operations: ['51-38=13', '52+41=93'] Exploring Operation: 93-13=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 22, 88, 52, 93 ]
25
[ "88-22=66", "93-52=41", "66-41=25" ]
Current State: 25:[22, 88, 52, 93], Operations: [] Exploring Operation: 88-22=66, Resulting Numbers: [52, 93, 66] Generated Node #2: [52, 93, 66] from Operation: 88-22=66 Current State: 25:[52, 93, 66], Operations: ['88-22=66'] Exploring Operation: 93-52=41, Resulting Numbers: [66, 41] Generated Node #3: [66, 41] from Operation: 93-52=41 Current State: 25:[66, 41], Operations: ['88-22=66', '93-52=41'] Exploring Operation: 66-41=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 32, 53, 18, 16 ]
83
[ "32+53=85", "18-16=2", "85-2=83" ]
Current State: 83:[32, 53, 18, 16], Operations: [] Exploring Operation: 32+53=85, Resulting Numbers: [18, 16, 85] Generated Node #2: [18, 16, 85] from Operation: 32+53=85 Current State: 83:[18, 16, 85], Operations: ['32+53=85'] Exploring Operation: 18-16=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 18-16=2 Current State: 83:[85, 2], Operations: ['32+53=85', '18-16=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 4, 20, 85, 28 ]
58
[ "28/4=7", "85-20=65", "65-7=58" ]
Current State: 58:[4, 20, 85, 28], Operations: [] Exploring Operation: 28/4=7, Resulting Numbers: [20, 85, 7] Generated Node #2: [20, 85, 7] from Operation: 28/4=7 Current State: 58:[20, 85, 7], Operations: ['28/4=7'] Exploring Operation: 85-20=65, Resulting Numbers: [7, 65] Generated Node #3: [7, 65] from Operation: 85-20=65 Current State: 58:[7, 65], Operations: ['28/4=7', '85-20=65'] Exploring Operation: 65-7=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 16, 2, 55, 62 ]
94
[ "16+62=78", "78/2=39", "55+39=94" ]
Current State: 94:[16, 2, 55, 62], Operations: [] Exploring Operation: 16+62=78, Resulting Numbers: [2, 55, 78] Generated Node #2: [2, 55, 78] from Operation: 16+62=78 Current State: 94:[2, 55, 78], Operations: ['16+62=78'] Exploring Operation: 78/2=39, Resulting Numbers: [55, 39] Generated Node #3: [55, 39] from Operation: 78/2=39 Current State: 94:[55, 39], Operations: ['16+62=78', '78/2=39'] Exploring Operation: 55+39=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 57, 90, 48, 88 ]
11
[ "57+90=147", "48+88=136", "147-136=11" ]
Current State: 11:[57, 90, 48, 88], Operations: [] Exploring Operation: 57+90=147, Resulting Numbers: [48, 88, 147] Generated Node #2: [48, 88, 147] from Operation: 57+90=147 Current State: 11:[48, 88, 147], Operations: ['57+90=147'] Exploring Operation: 48+88=136, Resulting Numbers: [147, 136] Generated Node #3: [147, 136] from Operation: 48+88=136 Current State: 11:[147, 136], Operations: ['57+90=147', '48+88=136'] Exploring Operation: 147-136=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 72, 36, 12, 1 ]
68
[ "72-1=71", "36/12=3", "71-3=68" ]
Current State: 68:[72, 36, 12, 1], Operations: [] Exploring Operation: 72-1=71, Resulting Numbers: [36, 12, 71] Generated Node #2: [36, 12, 71] from Operation: 72-1=71 Current State: 68:[36, 12, 71], Operations: ['72-1=71'] Exploring Operation: 36/12=3, Resulting Numbers: [71, 3] Generated Node #3: [71, 3] from Operation: 36/12=3 Current State: 68:[71, 3], Operations: ['72-1=71', '36/12=3'] Exploring Operation: 71-3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 93, 78, 77, 64 ]
87
[ "77-64=13", "78/13=6", "93-6=87" ]
Current State: 87:[93, 78, 77, 64], Operations: [] Exploring Operation: 77-64=13, Resulting Numbers: [93, 78, 13] Generated Node #2: [93, 78, 13] from Operation: 77-64=13 Current State: 87:[93, 78, 13], Operations: ['77-64=13'] Exploring Operation: 78/13=6, Resulting Numbers: [93, 6] Generated Node #3: [93, 6] from Operation: 78/13=6 Current State: 87:[93, 6], Operations: ['77-64=13', '78/13=6'] Exploring Operation: 93-6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 38, 11, 25, 4 ]
47
[ "11+25=36", "36/4=9", "38+9=47" ]
Current State: 47:[38, 11, 25, 4], Operations: [] Exploring Operation: 11+25=36, Resulting Numbers: [38, 4, 36] Generated Node #2: [38, 4, 36] from Operation: 11+25=36 Current State: 47:[38, 4, 36], Operations: ['11+25=36'] Exploring Operation: 36/4=9, Resulting Numbers: [38, 9] Generated Node #3: [38, 9] from Operation: 36/4=9 Current State: 47:[38, 9], Operations: ['11+25=36', '36/4=9'] Exploring Operation: 38+9=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 33, 7, 93, 11 ]
61
[ "33-11=22", "7*22=154", "154-93=61" ]
Current State: 61:[33, 7, 93, 11], Operations: [] Exploring Operation: 33-11=22, Resulting Numbers: [7, 93, 22] Generated Node #2: [7, 93, 22] from Operation: 33-11=22 Current State: 61:[7, 93, 22], Operations: ['33-11=22'] Exploring Operation: 7*22=154, Resulting Numbers: [93, 154] Generated Node #3: [93, 154] from Operation: 7*22=154 Current State: 61:[93, 154], Operations: ['33-11=22', '7*22=154'] Exploring Operation: 154-93=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 2, 52, 24, 41 ]
59
[ "2*24=48", "52-41=11", "48+11=59" ]
Current State: 59:[2, 52, 24, 41], Operations: [] Exploring Operation: 2*24=48, Resulting Numbers: [52, 41, 48] Generated Node #2: [52, 41, 48] from Operation: 2*24=48 Current State: 59:[52, 41, 48], Operations: ['2*24=48'] Exploring Operation: 52-41=11, Resulting Numbers: [48, 11] Generated Node #3: [48, 11] from Operation: 52-41=11 Current State: 59:[48, 11], Operations: ['2*24=48', '52-41=11'] Exploring Operation: 48+11=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 30, 96, 79, 64 ]
99
[ "30*64=1920", "1920/96=20", "79+20=99" ]
Current State: 99:[30, 96, 79, 64], Operations: [] Exploring Operation: 30*64=1920, Resulting Numbers: [96, 79, 1920] Generated Node #2: [96, 79, 1920] from Operation: 30*64=1920 Current State: 99:[96, 79, 1920], Operations: ['30*64=1920'] Exploring Operation: 1920/96=20, Resulting Numbers: [79, 20] Generated Node #3: [79, 20] from Operation: 1920/96=20 Current State: 99:[79, 20], Operations: ['30*64=1920', '1920/96=20'] Exploring Operation: 79+20=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 61, 81, 98, 2 ]
22
[ "61+81=142", "142-98=44", "44/2=22" ]
Current State: 22:[61, 81, 98, 2], Operations: [] Exploring Operation: 61+81=142, Resulting Numbers: [98, 2, 142] Generated Node #2: [98, 2, 142] from Operation: 61+81=142 Current State: 22:[98, 2, 142], Operations: ['61+81=142'] Exploring Operation: 142-98=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 142-98=44 Current State: 22:[2, 44], Operations: ['61+81=142', '142-98=44'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 60, 37, 3, 35 ]
44
[ "60+37=97", "35+97=132", "132/3=44" ]
Current State: 44:[60, 37, 3, 35], Operations: [] Exploring Operation: 60+37=97, Resulting Numbers: [3, 35, 97] Generated Node #2: [3, 35, 97] from Operation: 60+37=97 Current State: 44:[3, 35, 97], Operations: ['60+37=97'] Exploring Operation: 35+97=132, Resulting Numbers: [3, 132] Generated Node #3: [3, 132] from Operation: 35+97=132 Current State: 44:[3, 132], Operations: ['60+37=97', '35+97=132'] Exploring Operation: 132/3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 26, 6, 62, 35 ]
77
[ "26-6=20", "62+35=97", "97-20=77" ]
Current State: 77:[26, 6, 62, 35], Operations: [] Exploring Operation: 26-6=20, Resulting Numbers: [62, 35, 20] Generated Node #2: [62, 35, 20] from Operation: 26-6=20 Current State: 77:[62, 35, 20], Operations: ['26-6=20'] Exploring Operation: 62+35=97, Resulting Numbers: [20, 97] Generated Node #3: [20, 97] from Operation: 62+35=97 Current State: 77:[20, 97], Operations: ['26-6=20', '62+35=97'] Exploring Operation: 97-20=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 42, 67, 18, 96 ]
31
[ "42+67=109", "96-18=78", "109-78=31" ]
Current State: 31:[42, 67, 18, 96], Operations: [] Exploring Operation: 42+67=109, Resulting Numbers: [18, 96, 109] Generated Node #2: [18, 96, 109] from Operation: 42+67=109 Current State: 31:[18, 96, 109], Operations: ['42+67=109'] Exploring Operation: 96-18=78, Resulting Numbers: [109, 78] Generated Node #3: [109, 78] from Operation: 96-18=78 Current State: 31:[109, 78], Operations: ['42+67=109', '96-18=78'] Exploring Operation: 109-78=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 76, 86, 46, 47 ]
41
[ "76*47=3572", "3572-46=3526", "3526/86=41" ]
Current State: 41:[76, 86, 46, 47], Operations: [] Exploring Operation: 76*47=3572, Resulting Numbers: [86, 46, 3572] Generated Node #2: [86, 46, 3572] from Operation: 76*47=3572 Current State: 41:[86, 46, 3572], Operations: ['76*47=3572'] Exploring Operation: 3572-46=3526, Resulting Numbers: [86, 3526] Generated Node #3: [86, 3526] from Operation: 3572-46=3526 Current State: 41:[86, 3526], Operations: ['76*47=3572', '3572-46=3526'] Exploring Operation: 3526/86=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 84, 2, 1, 59 ]
49
[ "84-59=25", "2*25=50", "50-1=49" ]
Current State: 49:[84, 2, 1, 59], Operations: [] Exploring Operation: 84-59=25, Resulting Numbers: [2, 1, 25] Generated Node #2: [2, 1, 25] from Operation: 84-59=25 Current State: 49:[2, 1, 25], Operations: ['84-59=25'] Exploring Operation: 2*25=50, Resulting Numbers: [1, 50] Generated Node #3: [1, 50] from Operation: 2*25=50 Current State: 49:[1, 50], Operations: ['84-59=25', '2*25=50'] Exploring Operation: 50-1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 90, 88, 89, 15 ]
52
[ "90-88=2", "89+15=104", "104/2=52" ]
Current State: 52:[90, 88, 89, 15], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [89, 15, 2] Generated Node #2: [89, 15, 2] from Operation: 90-88=2 Current State: 52:[89, 15, 2], Operations: ['90-88=2'] Exploring Operation: 89+15=104, Resulting Numbers: [2, 104] Generated Node #3: [2, 104] from Operation: 89+15=104 Current State: 52:[2, 104], Operations: ['90-88=2', '89+15=104'] Exploring Operation: 104/2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 37, 84, 9, 69 ]
98
[ "84-69=15", "9*15=135", "135-37=98" ]
Current State: 98:[37, 84, 9, 69], Operations: [] Exploring Operation: 84-69=15, Resulting Numbers: [37, 9, 15] Generated Node #2: [37, 9, 15] from Operation: 84-69=15 Current State: 98:[37, 9, 15], Operations: ['84-69=15'] Exploring Operation: 9*15=135, Resulting Numbers: [37, 135] Generated Node #3: [37, 135] from Operation: 9*15=135 Current State: 98:[37, 135], Operations: ['84-69=15', '9*15=135'] Exploring Operation: 135-37=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 22, 44, 81, 85 ]
33
[ "85-81=4", "44/4=11", "22+11=33" ]
Current State: 33:[22, 44, 81, 85], Operations: [] Exploring Operation: 85-81=4, Resulting Numbers: [22, 44, 4] Generated Node #2: [22, 44, 4] from Operation: 85-81=4 Current State: 33:[22, 44, 4], Operations: ['85-81=4'] Exploring Operation: 44/4=11, Resulting Numbers: [22, 11] Generated Node #3: [22, 11] from Operation: 44/4=11 Current State: 33:[22, 11], Operations: ['85-81=4', '44/4=11'] Exploring Operation: 22+11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 74, 16, 86, 61 ]
89
[ "74-16=58", "86+61=147", "147-58=89" ]
Current State: 89:[74, 16, 86, 61], Operations: [] Exploring Operation: 74-16=58, Resulting Numbers: [86, 61, 58] Generated Node #2: [86, 61, 58] from Operation: 74-16=58 Current State: 89:[86, 61, 58], Operations: ['74-16=58'] Exploring Operation: 86+61=147, Resulting Numbers: [58, 147] Generated Node #3: [58, 147] from Operation: 86+61=147 Current State: 89:[58, 147], Operations: ['74-16=58', '86+61=147'] Exploring Operation: 147-58=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 56, 5, 8, 12 ]
49
[ "56/8=7", "12-5=7", "7*7=49" ]
Current State: 49:[56, 5, 8, 12], Operations: [] Exploring Operation: 56/8=7, Resulting Numbers: [5, 12, 7] Generated Node #2: [5, 12, 7] from Operation: 56/8=7 Current State: 49:[5, 12, 7], Operations: ['56/8=7'] Exploring Operation: 12-5=7, Resulting Numbers: [7, 7] Generated Node #3: [7, 7] from Operation: 12-5=7 Current State: 49:[7, 7], Operations: ['56/8=7', '12-5=7'] Exploring Operation: 7*7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 15, 33, 77, 34 ]
92
[ "15+77=92", "34-33=1", "92*1=92" ]
Current State: 92:[15, 33, 77, 34], Operations: [] Exploring Operation: 15+77=92, Resulting Numbers: [33, 34, 92] Generated Node #2: [33, 34, 92] from Operation: 15+77=92 Current State: 92:[33, 34, 92], Operations: ['15+77=92'] Exploring Operation: 34-33=1, Resulting Numbers: [92, 1] Generated Node #3: [92, 1] from Operation: 34-33=1 Current State: 92:[92, 1], Operations: ['15+77=92', '34-33=1'] Exploring Operation: 92*1=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 4, 18, 17, 80 ]
84
[ "4+80=84", "18-17=1", "84*1=84" ]
Current State: 84:[4, 18, 17, 80], Operations: [] Exploring Operation: 4+80=84, Resulting Numbers: [18, 17, 84] Generated Node #2: [18, 17, 84] from Operation: 4+80=84 Current State: 84:[18, 17, 84], Operations: ['4+80=84'] Exploring Operation: 18-17=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 18-17=1 Current State: 84:[84, 1], Operations: ['4+80=84', '18-17=1'] Exploring Operation: 84*1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 46, 17, 22, 66 ]
15
[ "46-17=29", "66-22=44", "44-29=15" ]
Current State: 15:[46, 17, 22, 66], Operations: [] Exploring Operation: 46-17=29, Resulting Numbers: [22, 66, 29] Generated Node #2: [22, 66, 29] from Operation: 46-17=29 Current State: 15:[22, 66, 29], Operations: ['46-17=29'] Exploring Operation: 66-22=44, Resulting Numbers: [29, 44] Generated Node #3: [29, 44] from Operation: 66-22=44 Current State: 15:[29, 44], Operations: ['46-17=29', '66-22=44'] Exploring Operation: 44-29=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 18, 67, 96, 27 ]
36
[ "96-67=29", "29-27=2", "18*2=36" ]
Current State: 36:[18, 67, 96, 27], Operations: [] Exploring Operation: 96-67=29, Resulting Numbers: [18, 27, 29] Generated Node #2: [18, 27, 29] from Operation: 96-67=29 Current State: 36:[18, 27, 29], Operations: ['96-67=29'] Exploring Operation: 29-27=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 29-27=2 Current State: 36:[18, 2], Operations: ['96-67=29', '29-27=2'] Exploring Operation: 18*2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 87, 6, 6, 24 ]
24
[ "6-6=0", "87*0=0", "24+0=24" ]
Current State: 24:[87, 6, 6, 24], Operations: [] Exploring Operation: 6-6=0, Resulting Numbers: [87, 24, 0] Generated Node #2: [87, 24, 0] from Operation: 6-6=0 Current State: 24:[87, 24, 0], Operations: ['6-6=0'] Exploring Operation: 87*0=0, Resulting Numbers: [24, 0] Generated Node #3: [24, 0] from Operation: 87*0=0 Current State: 24:[24, 0], Operations: ['6-6=0', '87*0=0'] Exploring Operation: 24+0=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 32, 18, 61, 4 ]
21
[ "32+61=93", "18*4=72", "93-72=21" ]
Current State: 21:[32, 18, 61, 4], Operations: [] Exploring Operation: 32+61=93, Resulting Numbers: [18, 4, 93] Generated Node #2: [18, 4, 93] from Operation: 32+61=93 Current State: 21:[18, 4, 93], Operations: ['32+61=93'] Exploring Operation: 18*4=72, Resulting Numbers: [93, 72] Generated Node #3: [93, 72] from Operation: 18*4=72 Current State: 21:[93, 72], Operations: ['32+61=93', '18*4=72'] Exploring Operation: 93-72=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 87, 29, 69, 8 ]
93
[ "87/29=3", "8*3=24", "69+24=93" ]
Current State: 93:[87, 29, 69, 8], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [69, 8, 3] Generated Node #2: [69, 8, 3] from Operation: 87/29=3 Current State: 93:[69, 8, 3], Operations: ['87/29=3'] Exploring Operation: 8*3=24, Resulting Numbers: [69, 24] Generated Node #3: [69, 24] from Operation: 8*3=24 Current State: 93:[69, 24], Operations: ['87/29=3', '8*3=24'] Exploring Operation: 69+24=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 51, 64, 33, 61 ]
54
[ "51-33=18", "64-61=3", "18*3=54" ]
Current State: 54:[51, 64, 33, 61], Operations: [] Exploring Operation: 51-33=18, Resulting Numbers: [64, 61, 18] Generated Node #2: [64, 61, 18] from Operation: 51-33=18 Current State: 54:[64, 61, 18], Operations: ['51-33=18'] Exploring Operation: 64-61=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 64-61=3 Current State: 54:[18, 3], Operations: ['51-33=18', '64-61=3'] Exploring Operation: 18*3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 86, 13, 43, 3 ]
19
[ "86/43=2", "3*2=6", "13+6=19" ]
Current State: 19:[86, 13, 43, 3], Operations: [] Exploring Operation: 86/43=2, Resulting Numbers: [13, 3, 2] Generated Node #2: [13, 3, 2] from Operation: 86/43=2 Current State: 19:[13, 3, 2], Operations: ['86/43=2'] Exploring Operation: 3*2=6, Resulting Numbers: [13, 6] Generated Node #3: [13, 6] from Operation: 3*2=6 Current State: 19:[13, 6], Operations: ['86/43=2', '3*2=6'] Exploring Operation: 13+6=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 7, 75, 94, 92 ]
11
[ "75+94=169", "169-92=77", "77/7=11" ]
Current State: 11:[7, 75, 94, 92], Operations: [] Exploring Operation: 75+94=169, Resulting Numbers: [7, 92, 169] Generated Node #2: [7, 92, 169] from Operation: 75+94=169 Current State: 11:[7, 92, 169], Operations: ['75+94=169'] Exploring Operation: 169-92=77, Resulting Numbers: [7, 77] Generated Node #3: [7, 77] from Operation: 169-92=77 Current State: 11:[7, 77], Operations: ['75+94=169', '169-92=77'] Exploring Operation: 77/7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 55, 76, 69, 38 ]
62
[ "55+69=124", "76/38=2", "124/2=62" ]
Current State: 62:[55, 76, 69, 38], Operations: [] Exploring Operation: 55+69=124, Resulting Numbers: [76, 38, 124] Generated Node #2: [76, 38, 124] from Operation: 55+69=124 Current State: 62:[76, 38, 124], Operations: ['55+69=124'] Exploring Operation: 76/38=2, Resulting Numbers: [124, 2] Generated Node #3: [124, 2] from Operation: 76/38=2 Current State: 62:[124, 2], Operations: ['55+69=124', '76/38=2'] Exploring Operation: 124/2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 62, 47, 38, 62 ]
47
[ "62-62=0", "38*0=0", "47+0=47" ]
Current State: 47:[62, 47, 38, 62], Operations: [] Exploring Operation: 62-62=0, Resulting Numbers: [47, 38, 0] Generated Node #2: [47, 38, 0] from Operation: 62-62=0 Current State: 47:[47, 38, 0], Operations: ['62-62=0'] Exploring Operation: 38*0=0, Resulting Numbers: [47, 0] Generated Node #3: [47, 0] from Operation: 38*0=0 Current State: 47:[47, 0], Operations: ['62-62=0', '38*0=0'] Exploring Operation: 47+0=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 4, 24, 88, 50 ]
96
[ "88/4=22", "24+50=74", "22+74=96" ]
Current State: 96:[4, 24, 88, 50], Operations: [] Exploring Operation: 88/4=22, Resulting Numbers: [24, 50, 22] Generated Node #2: [24, 50, 22] from Operation: 88/4=22 Current State: 96:[24, 50, 22], Operations: ['88/4=22'] Exploring Operation: 24+50=74, Resulting Numbers: [22, 74] Generated Node #3: [22, 74] from Operation: 24+50=74 Current State: 96:[22, 74], Operations: ['88/4=22', '24+50=74'] Exploring Operation: 22+74=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 9, 58, 29, 13 ]
88
[ "9*13=117", "58-29=29", "117-29=88" ]
Current State: 88:[9, 58, 29, 13], Operations: [] Exploring Operation: 9*13=117, Resulting Numbers: [58, 29, 117] Generated Node #2: [58, 29, 117] from Operation: 9*13=117 Current State: 88:[58, 29, 117], Operations: ['9*13=117'] Exploring Operation: 58-29=29, Resulting Numbers: [117, 29] Generated Node #3: [117, 29] from Operation: 58-29=29 Current State: 88:[117, 29], Operations: ['9*13=117', '58-29=29'] Exploring Operation: 117-29=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 28, 64, 73, 15 ]
11
[ "28+64=92", "73+92=165", "165/15=11" ]
Current State: 11:[28, 64, 73, 15], Operations: [] Exploring Operation: 28+64=92, Resulting Numbers: [73, 15, 92] Generated Node #2: [73, 15, 92] from Operation: 28+64=92 Current State: 11:[73, 15, 92], Operations: ['28+64=92'] Exploring Operation: 73+92=165, Resulting Numbers: [15, 165] Generated Node #3: [15, 165] from Operation: 73+92=165 Current State: 11:[15, 165], Operations: ['28+64=92', '73+92=165'] Exploring Operation: 165/15=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 2, 38, 27, 85 ]
72
[ "2+38=40", "27+85=112", "112-40=72" ]
Current State: 72:[2, 38, 27, 85], Operations: [] Exploring Operation: 2+38=40, Resulting Numbers: [27, 85, 40] Generated Node #2: [27, 85, 40] from Operation: 2+38=40 Current State: 72:[27, 85, 40], Operations: ['2+38=40'] Exploring Operation: 27+85=112, Resulting Numbers: [40, 112] Generated Node #3: [40, 112] from Operation: 27+85=112 Current State: 72:[40, 112], Operations: ['2+38=40', '27+85=112'] Exploring Operation: 112-40=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 28, 36, 13, 40 ]
99
[ "40-36=4", "28*4=112", "112-13=99" ]
Current State: 99:[28, 36, 13, 40], Operations: [] Exploring Operation: 40-36=4, Resulting Numbers: [28, 13, 4] Generated Node #2: [28, 13, 4] from Operation: 40-36=4 Current State: 99:[28, 13, 4], Operations: ['40-36=4'] Exploring Operation: 28*4=112, Resulting Numbers: [13, 112] Generated Node #3: [13, 112] from Operation: 28*4=112 Current State: 99:[13, 112], Operations: ['40-36=4', '28*4=112'] Exploring Operation: 112-13=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 79, 84, 48, 6 ]
45
[ "79-48=31", "84/6=14", "31+14=45" ]
Current State: 45:[79, 84, 48, 6], Operations: [] Exploring Operation: 79-48=31, Resulting Numbers: [84, 6, 31] Generated Node #2: [84, 6, 31] from Operation: 79-48=31 Current State: 45:[84, 6, 31], Operations: ['79-48=31'] Exploring Operation: 84/6=14, Resulting Numbers: [31, 14] Generated Node #3: [31, 14] from Operation: 84/6=14 Current State: 45:[31, 14], Operations: ['79-48=31', '84/6=14'] Exploring Operation: 31+14=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 64, 53, 56, 14 ]
53
[ "64-53=11", "56-14=42", "11+42=53" ]
Current State: 53:[64, 53, 56, 14], Operations: [] Exploring Operation: 64-53=11, Resulting Numbers: [56, 14, 11] Generated Node #2: [56, 14, 11] from Operation: 64-53=11 Current State: 53:[56, 14, 11], Operations: ['64-53=11'] Exploring Operation: 56-14=42, Resulting Numbers: [11, 42] Generated Node #3: [11, 42] from Operation: 56-14=42 Current State: 53:[11, 42], Operations: ['64-53=11', '56-14=42'] Exploring Operation: 11+42=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 76, 21, 33, 12 ]
52
[ "76+21=97", "33+12=45", "97-45=52" ]
Current State: 52:[76, 21, 33, 12], Operations: [] Exploring Operation: 76+21=97, Resulting Numbers: [33, 12, 97] Generated Node #2: [33, 12, 97] from Operation: 76+21=97 Current State: 52:[33, 12, 97], Operations: ['76+21=97'] Exploring Operation: 33+12=45, Resulting Numbers: [97, 45] Generated Node #3: [97, 45] from Operation: 33+12=45 Current State: 52:[97, 45], Operations: ['76+21=97', '33+12=45'] Exploring Operation: 97-45=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 22, 78, 62, 16 ]
22
[ "22+78=100", "62+16=78", "100-78=22" ]
Current State: 22:[22, 78, 62, 16], Operations: [] Exploring Operation: 22+78=100, Resulting Numbers: [62, 16, 100] Generated Node #2: [62, 16, 100] from Operation: 22+78=100 Current State: 22:[62, 16, 100], Operations: ['22+78=100'] Exploring Operation: 62+16=78, Resulting Numbers: [100, 78] Generated Node #3: [100, 78] from Operation: 62+16=78 Current State: 22:[100, 78], Operations: ['22+78=100', '62+16=78'] Exploring Operation: 100-78=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 81, 43, 78, 79 ]
12
[ "81-78=3", "79-43=36", "36/3=12" ]
Current State: 12:[81, 43, 78, 79], Operations: [] Exploring Operation: 81-78=3, Resulting Numbers: [43, 79, 3] Generated Node #2: [43, 79, 3] from Operation: 81-78=3 Current State: 12:[43, 79, 3], Operations: ['81-78=3'] Exploring Operation: 79-43=36, Resulting Numbers: [3, 36] Generated Node #3: [3, 36] from Operation: 79-43=36 Current State: 12:[3, 36], Operations: ['81-78=3', '79-43=36'] Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 87, 60, 18, 6 ]
95
[ "87+18=105", "60/6=10", "105-10=95" ]
Current State: 95:[87, 60, 18, 6], Operations: [] Exploring Operation: 87+18=105, Resulting Numbers: [60, 6, 105] Generated Node #2: [60, 6, 105] from Operation: 87+18=105 Current State: 95:[60, 6, 105], Operations: ['87+18=105'] Exploring Operation: 60/6=10, Resulting Numbers: [105, 10] Generated Node #3: [105, 10] from Operation: 60/6=10 Current State: 95:[105, 10], Operations: ['87+18=105', '60/6=10'] Exploring Operation: 105-10=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 1, 10, 2, 42 ]
96
[ "1+2=3", "42-10=32", "3*32=96" ]
Current State: 96:[1, 10, 2, 42], Operations: [] Exploring Operation: 1+2=3, Resulting Numbers: [10, 42, 3] Generated Node #2: [10, 42, 3] from Operation: 1+2=3 Current State: 96:[10, 42, 3], Operations: ['1+2=3'] Exploring Operation: 42-10=32, Resulting Numbers: [3, 32] Generated Node #3: [3, 32] from Operation: 42-10=32 Current State: 96:[3, 32], Operations: ['1+2=3', '42-10=32'] Exploring Operation: 3*32=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 34, 5, 7, 76 ]
59
[ "34-7=27", "5*27=135", "135-76=59" ]
Current State: 59:[34, 5, 7, 76], Operations: [] Exploring Operation: 34-7=27, Resulting Numbers: [5, 76, 27] Generated Node #2: [5, 76, 27] from Operation: 34-7=27 Current State: 59:[5, 76, 27], Operations: ['34-7=27'] Exploring Operation: 5*27=135, Resulting Numbers: [76, 135] Generated Node #3: [76, 135] from Operation: 5*27=135 Current State: 59:[76, 135], Operations: ['34-7=27', '5*27=135'] Exploring Operation: 135-76=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 16, 45, 41, 21 ]
81
[ "16+45=61", "41-21=20", "61+20=81" ]
Current State: 81:[16, 45, 41, 21], Operations: [] Exploring Operation: 16+45=61, Resulting Numbers: [41, 21, 61] Generated Node #2: [41, 21, 61] from Operation: 16+45=61 Current State: 81:[41, 21, 61], Operations: ['16+45=61'] Exploring Operation: 41-21=20, Resulting Numbers: [61, 20] Generated Node #3: [61, 20] from Operation: 41-21=20 Current State: 81:[61, 20], Operations: ['16+45=61', '41-21=20'] Exploring Operation: 61+20=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 80, 65, 2, 63 ]
81
[ "65-2=63", "63/63=1", "80+1=81" ]
Current State: 81:[80, 65, 2, 63], Operations: [] Exploring Operation: 65-2=63, Resulting Numbers: [80, 63, 63] Generated Node #2: [80, 63, 63] from Operation: 65-2=63 Current State: 81:[80, 63, 63], Operations: ['65-2=63'] Exploring Operation: 63/63=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 63/63=1 Current State: 81:[80, 1], Operations: ['65-2=63', '63/63=1'] Exploring Operation: 80+1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 58, 17, 50, 10 ]
80
[ "58+17=75", "50/10=5", "75+5=80" ]
Current State: 80:[58, 17, 50, 10], Operations: [] Exploring Operation: 58+17=75, Resulting Numbers: [50, 10, 75] Generated Node #2: [50, 10, 75] from Operation: 58+17=75 Current State: 80:[50, 10, 75], Operations: ['58+17=75'] Exploring Operation: 50/10=5, Resulting Numbers: [75, 5] Generated Node #3: [75, 5] from Operation: 50/10=5 Current State: 80:[75, 5], Operations: ['58+17=75', '50/10=5'] Exploring Operation: 75+5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 64, 48, 58, 25 ]
79
[ "64+48=112", "58-25=33", "112-33=79" ]
Current State: 79:[64, 48, 58, 25], Operations: [] Exploring Operation: 64+48=112, Resulting Numbers: [58, 25, 112] Generated Node #2: [58, 25, 112] from Operation: 64+48=112 Current State: 79:[58, 25, 112], Operations: ['64+48=112'] Exploring Operation: 58-25=33, Resulting Numbers: [112, 33] Generated Node #3: [112, 33] from Operation: 58-25=33 Current State: 79:[112, 33], Operations: ['64+48=112', '58-25=33'] Exploring Operation: 112-33=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 38, 16, 42, 88 ]
68
[ "38-16=22", "88-42=46", "22+46=68" ]
Current State: 68:[38, 16, 42, 88], Operations: [] Exploring Operation: 38-16=22, Resulting Numbers: [42, 88, 22] Generated Node #2: [42, 88, 22] from Operation: 38-16=22 Current State: 68:[42, 88, 22], Operations: ['38-16=22'] Exploring Operation: 88-42=46, Resulting Numbers: [22, 46] Generated Node #3: [22, 46] from Operation: 88-42=46 Current State: 68:[22, 46], Operations: ['38-16=22', '88-42=46'] Exploring Operation: 22+46=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 5, 6, 26, 97 ]
43
[ "5+97=102", "102/6=17", "26+17=43" ]
Current State: 43:[5, 6, 26, 97], Operations: [] Exploring Operation: 5+97=102, Resulting Numbers: [6, 26, 102] Generated Node #2: [6, 26, 102] from Operation: 5+97=102 Current State: 43:[6, 26, 102], Operations: ['5+97=102'] Exploring Operation: 102/6=17, Resulting Numbers: [26, 17] Generated Node #3: [26, 17] from Operation: 102/6=17 Current State: 43:[26, 17], Operations: ['5+97=102', '102/6=17'] Exploring Operation: 26+17=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 18, 34, 90, 12 ]
21
[ "90+12=102", "102/34=3", "18+3=21" ]
Current State: 21:[18, 34, 90, 12], Operations: [] Exploring Operation: 90+12=102, Resulting Numbers: [18, 34, 102] Generated Node #2: [18, 34, 102] from Operation: 90+12=102 Current State: 21:[18, 34, 102], Operations: ['90+12=102'] Exploring Operation: 102/34=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 102/34=3 Current State: 21:[18, 3], Operations: ['90+12=102', '102/34=3'] Exploring Operation: 18+3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 57, 34, 46, 74 ]
23
[ "74-57=17", "34/17=2", "46/2=23" ]
Current State: 23:[57, 34, 46, 74], Operations: [] Exploring Operation: 74-57=17, Resulting Numbers: [34, 46, 17] Generated Node #2: [34, 46, 17] from Operation: 74-57=17 Current State: 23:[34, 46, 17], Operations: ['74-57=17'] Exploring Operation: 34/17=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 34/17=2 Current State: 23:[46, 2], Operations: ['74-57=17', '34/17=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 78, 62, 70, 42 ]
28
[ "78+62=140", "70+42=112", "140-112=28" ]
Current State: 28:[78, 62, 70, 42], Operations: [] Exploring Operation: 78+62=140, Resulting Numbers: [70, 42, 140] Generated Node #2: [70, 42, 140] from Operation: 78+62=140 Current State: 28:[70, 42, 140], Operations: ['78+62=140'] Exploring Operation: 70+42=112, Resulting Numbers: [140, 112] Generated Node #3: [140, 112] from Operation: 70+42=112 Current State: 28:[140, 112], Operations: ['78+62=140', '70+42=112'] Exploring Operation: 140-112=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 23, 45, 49, 5 ]
43
[ "49-45=4", "5*4=20", "23+20=43" ]
Current State: 43:[23, 45, 49, 5], Operations: [] Exploring Operation: 49-45=4, Resulting Numbers: [23, 5, 4] Generated Node #2: [23, 5, 4] from Operation: 49-45=4 Current State: 43:[23, 5, 4], Operations: ['49-45=4'] Exploring Operation: 5*4=20, Resulting Numbers: [23, 20] Generated Node #3: [23, 20] from Operation: 5*4=20 Current State: 43:[23, 20], Operations: ['49-45=4', '5*4=20'] Exploring Operation: 23+20=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 98, 87, 39, 3 ]
46
[ "87-39=48", "3*48=144", "144-98=46" ]
Current State: 46:[98, 87, 39, 3], Operations: [] Exploring Operation: 87-39=48, Resulting Numbers: [98, 3, 48] Generated Node #2: [98, 3, 48] from Operation: 87-39=48 Current State: 46:[98, 3, 48], Operations: ['87-39=48'] Exploring Operation: 3*48=144, Resulting Numbers: [98, 144] Generated Node #3: [98, 144] from Operation: 3*48=144 Current State: 46:[98, 144], Operations: ['87-39=48', '3*48=144'] Exploring Operation: 144-98=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 58, 15, 28, 23 ]
94
[ "58-15=43", "28+23=51", "43+51=94" ]
Current State: 94:[58, 15, 28, 23], Operations: [] Exploring Operation: 58-15=43, Resulting Numbers: [28, 23, 43] Generated Node #2: [28, 23, 43] from Operation: 58-15=43 Current State: 94:[28, 23, 43], Operations: ['58-15=43'] Exploring Operation: 28+23=51, Resulting Numbers: [43, 51] Generated Node #3: [43, 51] from Operation: 28+23=51 Current State: 94:[43, 51], Operations: ['58-15=43', '28+23=51'] Exploring Operation: 43+51=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 72, 1, 48, 37 ]
12
[ "72+1=73", "48+37=85", "85-73=12" ]
Current State: 12:[72, 1, 48, 37], Operations: [] Exploring Operation: 72+1=73, Resulting Numbers: [48, 37, 73] Generated Node #2: [48, 37, 73] from Operation: 72+1=73 Current State: 12:[48, 37, 73], Operations: ['72+1=73'] Exploring Operation: 48+37=85, Resulting Numbers: [73, 85] Generated Node #3: [73, 85] from Operation: 48+37=85 Current State: 12:[73, 85], Operations: ['72+1=73', '48+37=85'] Exploring Operation: 85-73=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 98, 39, 63, 91 ]
21
[ "98*39=3822", "3822/91=42", "63-42=21" ]
Current State: 21:[98, 39, 63, 91], Operations: [] Exploring Operation: 98*39=3822, Resulting Numbers: [63, 91, 3822] Generated Node #2: [63, 91, 3822] from Operation: 98*39=3822 Current State: 21:[63, 91, 3822], Operations: ['98*39=3822'] Exploring Operation: 3822/91=42, Resulting Numbers: [63, 42] Generated Node #3: [63, 42] from Operation: 3822/91=42 Current State: 21:[63, 42], Operations: ['98*39=3822', '3822/91=42'] Exploring Operation: 63-42=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 56, 48, 28, 6 ]
22
[ "56+48=104", "28+104=132", "132/6=22" ]
Current State: 22:[56, 48, 28, 6], Operations: [] Exploring Operation: 56+48=104, Resulting Numbers: [28, 6, 104] Generated Node #2: [28, 6, 104] from Operation: 56+48=104 Current State: 22:[28, 6, 104], Operations: ['56+48=104'] Exploring Operation: 28+104=132, Resulting Numbers: [6, 132] Generated Node #3: [6, 132] from Operation: 28+104=132 Current State: 22:[6, 132], Operations: ['56+48=104', '28+104=132'] Exploring Operation: 132/6=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 92, 70, 28, 10 ]
40
[ "92-70=22", "28-10=18", "22+18=40" ]
Current State: 40:[92, 70, 28, 10], Operations: [] Exploring Operation: 92-70=22, Resulting Numbers: [28, 10, 22] Generated Node #2: [28, 10, 22] from Operation: 92-70=22 Current State: 40:[28, 10, 22], Operations: ['92-70=22'] Exploring Operation: 28-10=18, Resulting Numbers: [22, 18] Generated Node #3: [22, 18] from Operation: 28-10=18 Current State: 40:[22, 18], Operations: ['92-70=22', '28-10=18'] Exploring Operation: 22+18=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 7, 70, 52, 81 ]
70
[ "70-7=63", "52+81=133", "133-63=70" ]
Current State: 70:[7, 70, 52, 81], Operations: [] Exploring Operation: 70-7=63, Resulting Numbers: [52, 81, 63] Generated Node #2: [52, 81, 63] from Operation: 70-7=63 Current State: 70:[52, 81, 63], Operations: ['70-7=63'] Exploring Operation: 52+81=133, Resulting Numbers: [63, 133] Generated Node #3: [63, 133] from Operation: 52+81=133 Current State: 70:[63, 133], Operations: ['70-7=63', '52+81=133'] Exploring Operation: 133-63=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 63, 27, 23, 89 ]
22
[ "63+27=90", "23+89=112", "112-90=22" ]
Current State: 22:[63, 27, 23, 89], Operations: [] Exploring Operation: 63+27=90, Resulting Numbers: [23, 89, 90] Generated Node #2: [23, 89, 90] from Operation: 63+27=90 Current State: 22:[23, 89, 90], Operations: ['63+27=90'] Exploring Operation: 23+89=112, Resulting Numbers: [90, 112] Generated Node #3: [90, 112] from Operation: 23+89=112 Current State: 22:[90, 112], Operations: ['63+27=90', '23+89=112'] Exploring Operation: 112-90=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 38, 91, 38, 27 ]
42
[ "91-38=53", "38-27=11", "53-11=42" ]
Current State: 42:[38, 91, 38, 27], Operations: [] Exploring Operation: 91-38=53, Resulting Numbers: [27, 53] Generated Node #2: [27, 53] from Operation: 91-38=53 Current State: 42:[27, 53], Operations: ['91-38=53'] Exploring Operation: 38-27=11, Resulting Numbers: [53, 11] Generated Node #3: [53, 11] from Operation: 38-27=11 Current State: 42:[53, 11], Operations: ['91-38=53', '38-27=11'] Exploring Operation: 53-11=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 5, 69, 46, 76 ]
34
[ "69-5=64", "76-46=30", "64-30=34" ]
Current State: 34:[5, 69, 46, 76], Operations: [] Exploring Operation: 69-5=64, Resulting Numbers: [46, 76, 64] Generated Node #2: [46, 76, 64] from Operation: 69-5=64 Current State: 34:[46, 76, 64], Operations: ['69-5=64'] Exploring Operation: 76-46=30, Resulting Numbers: [64, 30] Generated Node #3: [64, 30] from Operation: 76-46=30 Current State: 34:[64, 30], Operations: ['69-5=64', '76-46=30'] Exploring Operation: 64-30=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4