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
[ 1, 40, 67, 58 ]
50
[ "1+40=41", "67-58=9", "41+9=50" ]
Current State: 50:[1, 40, 67, 58], Operations: [] Exploring Operation: 1+40=41, Resulting Numbers: [67, 58, 41] Generated Node #2: [67, 58, 41] from Operation: 1+40=41 Current State: 50:[67, 58, 41], Operations: ['1+40=41'] Exploring Operation: 67-58=9, Resulting Numbers: [41, 9] Generated Node #3: [41, 9] from Operation: 67-58=9 Current State: 50:[41, 9], Operations: ['1+40=41', '67-58=9'] Exploring Operation: 41+9=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 85, 22, 66, 44 ]
86
[ "66-22=44", "44/44=1", "85+1=86" ]
Current State: 86:[85, 22, 66, 44], Operations: [] Exploring Operation: 66-22=44, Resulting Numbers: [85, 44, 44] Generated Node #2: [85, 44, 44] from Operation: 66-22=44 Current State: 86:[85, 44, 44], Operations: ['66-22=44'] Exploring Operation: 44/44=1, Resulting Numbers: [85, 1] Generated Node #3: [85, 1] from Operation: 44/44=1 Current State: 86:[85, 1], Operations: ['66-22=44', '44/44=1'] Exploring Operation: 85+1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 27, 15, 9, 98 ]
65
[ "27+15=42", "9+98=107", "107-42=65" ]
Current State: 65:[27, 15, 9, 98], Operations: [] Exploring Operation: 27+15=42, Resulting Numbers: [9, 98, 42] Generated Node #2: [9, 98, 42] from Operation: 27+15=42 Current State: 65:[9, 98, 42], Operations: ['27+15=42'] Exploring Operation: 9+98=107, Resulting Numbers: [42, 107] Generated Node #3: [42, 107] from Operation: 9+98=107 Current State: 65:[42, 107], Operations: ['27+15=42', '9+98=107'] Exploring Operation: 107-42=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 40, 29, 3, 24 ]
67
[ "40*3=120", "29+24=53", "120-53=67" ]
Current State: 67:[40, 29, 3, 24], Operations: [] Exploring Operation: 40*3=120, Resulting Numbers: [29, 24, 120] Generated Node #2: [29, 24, 120] from Operation: 40*3=120 Current State: 67:[29, 24, 120], Operations: ['40*3=120'] Exploring Operation: 29+24=53, Resulting Numbers: [120, 53] Generated Node #3: [120, 53] from Operation: 29+24=53 Current State: 67:[120, 53], Operations: ['40*3=120', '29+24=53'] Exploring Operation: 120-53=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 3, 38, 31, 31 ]
42
[ "3+38=41", "31/31=1", "41+1=42" ]
Current State: 42:[3, 38, 31, 31], Operations: [] Exploring Operation: 3+38=41, Resulting Numbers: [31, 31, 41] Generated Node #2: [31, 31, 41] from Operation: 3+38=41 Current State: 42:[31, 31, 41], Operations: ['3+38=41'] Exploring Operation: 31/31=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 31/31=1 Current State: 42:[41, 1], Operations: ['3+38=41', '31/31=1'] Exploring Operation: 41+1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 60, 53, 3, 79 ]
31
[ "60+53=113", "3+79=82", "113-82=31" ]
Current State: 31:[60, 53, 3, 79], Operations: [] Exploring Operation: 60+53=113, Resulting Numbers: [3, 79, 113] Generated Node #2: [3, 79, 113] from Operation: 60+53=113 Current State: 31:[3, 79, 113], Operations: ['60+53=113'] Exploring Operation: 3+79=82, Resulting Numbers: [113, 82] Generated Node #3: [113, 82] from Operation: 3+79=82 Current State: 31:[113, 82], Operations: ['60+53=113', '3+79=82'] Exploring Operation: 113-82=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 68, 68, 85, 24 ]
20
[ "85-68=17", "68/17=4", "24-4=20" ]
Current State: 20:[68, 68, 85, 24], Operations: [] Exploring Operation: 85-68=17, Resulting Numbers: [24, 17] Generated Node #2: [24, 17] from Operation: 85-68=17 Current State: 20:[24, 17], Operations: ['85-68=17'] Exploring Operation: 68/17=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 68/17=4 Current State: 20:[24, 4], Operations: ['85-68=17', '68/17=4'] Exploring Operation: 24-4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 23, 35, 84, 83 ]
57
[ "23+35=58", "84-83=1", "58-1=57" ]
Current State: 57:[23, 35, 84, 83], Operations: [] Exploring Operation: 23+35=58, Resulting Numbers: [84, 83, 58] Generated Node #2: [84, 83, 58] from Operation: 23+35=58 Current State: 57:[84, 83, 58], Operations: ['23+35=58'] Exploring Operation: 84-83=1, Resulting Numbers: [58, 1] Generated Node #3: [58, 1] from Operation: 84-83=1 Current State: 57:[58, 1], Operations: ['23+35=58', '84-83=1'] Exploring Operation: 58-1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 74, 19, 75, 88 ]
69
[ "75-74=1", "88-19=69", "1*69=69" ]
Current State: 69:[74, 19, 75, 88], Operations: [] Exploring Operation: 75-74=1, Resulting Numbers: [19, 88, 1] Generated Node #2: [19, 88, 1] from Operation: 75-74=1 Current State: 69:[19, 88, 1], Operations: ['75-74=1'] Exploring Operation: 88-19=69, Resulting Numbers: [1, 69] Generated Node #3: [1, 69] from Operation: 88-19=69 Current State: 69:[1, 69], Operations: ['75-74=1', '88-19=69'] Exploring Operation: 1*69=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 26, 9, 58, 21 ]
36
[ "26+58=84", "9*84=756", "756/21=36" ]
Current State: 36:[26, 9, 58, 21], Operations: [] Exploring Operation: 26+58=84, Resulting Numbers: [9, 21, 84] Generated Node #2: [9, 21, 84] from Operation: 26+58=84 Current State: 36:[9, 21, 84], Operations: ['26+58=84'] Exploring Operation: 9*84=756, Resulting Numbers: [21, 756] Generated Node #3: [21, 756] from Operation: 9*84=756 Current State: 36:[21, 756], Operations: ['26+58=84', '9*84=756'] Exploring Operation: 756/21=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 48, 81, 83, 8 ]
42
[ "81-48=33", "83-8=75", "75-33=42" ]
Current State: 42:[48, 81, 83, 8], Operations: [] Exploring Operation: 81-48=33, Resulting Numbers: [83, 8, 33] Generated Node #2: [83, 8, 33] from Operation: 81-48=33 Current State: 42:[83, 8, 33], Operations: ['81-48=33'] Exploring Operation: 83-8=75, Resulting Numbers: [33, 75] Generated Node #3: [33, 75] from Operation: 83-8=75 Current State: 42:[33, 75], Operations: ['81-48=33', '83-8=75'] Exploring Operation: 75-33=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 42, 94, 73, 92 ]
90
[ "94-73=21", "42/21=2", "92-2=90" ]
Current State: 90:[42, 94, 73, 92], Operations: [] Exploring Operation: 94-73=21, Resulting Numbers: [42, 92, 21] Generated Node #2: [42, 92, 21] from Operation: 94-73=21 Current State: 90:[42, 92, 21], Operations: ['94-73=21'] Exploring Operation: 42/21=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 42/21=2 Current State: 90:[92, 2], Operations: ['94-73=21', '42/21=2'] Exploring Operation: 92-2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 36, 72, 24, 4 ]
94
[ "72/36=2", "24*4=96", "96-2=94" ]
Current State: 94:[36, 72, 24, 4], Operations: [] Exploring Operation: 72/36=2, Resulting Numbers: [24, 4, 2] Generated Node #2: [24, 4, 2] from Operation: 72/36=2 Current State: 94:[24, 4, 2], Operations: ['72/36=2'] Exploring Operation: 24*4=96, Resulting Numbers: [2, 96] Generated Node #3: [2, 96] from Operation: 24*4=96 Current State: 94:[2, 96], Operations: ['72/36=2', '24*4=96'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 95, 36, 14, 78 ]
98
[ "78-36=42", "42/14=3", "95+3=98" ]
Current State: 98:[95, 36, 14, 78], Operations: [] Exploring Operation: 78-36=42, Resulting Numbers: [95, 14, 42] Generated Node #2: [95, 14, 42] from Operation: 78-36=42 Current State: 98:[95, 14, 42], Operations: ['78-36=42'] Exploring Operation: 42/14=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 42/14=3 Current State: 98:[95, 3], Operations: ['78-36=42', '42/14=3'] Exploring Operation: 95+3=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 89, 5, 40, 47 ]
34
[ "89-47=42", "40/5=8", "42-8=34" ]
Current State: 34:[89, 5, 40, 47], Operations: [] Exploring Operation: 89-47=42, Resulting Numbers: [5, 40, 42] Generated Node #2: [5, 40, 42] from Operation: 89-47=42 Current State: 34:[5, 40, 42], Operations: ['89-47=42'] Exploring Operation: 40/5=8, Resulting Numbers: [42, 8] Generated Node #3: [42, 8] from Operation: 40/5=8 Current State: 34:[42, 8], Operations: ['89-47=42', '40/5=8'] Exploring Operation: 42-8=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 10, 75, 92, 23 ]
30
[ "10+75=85", "92+23=115", "115-85=30" ]
Current State: 30:[10, 75, 92, 23], Operations: [] Exploring Operation: 10+75=85, Resulting Numbers: [92, 23, 85] Generated Node #2: [92, 23, 85] from Operation: 10+75=85 Current State: 30:[92, 23, 85], Operations: ['10+75=85'] Exploring Operation: 92+23=115, Resulting Numbers: [85, 115] Generated Node #3: [85, 115] from Operation: 92+23=115 Current State: 30:[85, 115], Operations: ['10+75=85', '92+23=115'] Exploring Operation: 115-85=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 17, 45, 46, 36 ]
53
[ "17+36=53", "46-45=1", "53*1=53" ]
Current State: 53:[17, 45, 46, 36], Operations: [] Exploring Operation: 17+36=53, Resulting Numbers: [45, 46, 53] Generated Node #2: [45, 46, 53] from Operation: 17+36=53 Current State: 53:[45, 46, 53], Operations: ['17+36=53'] Exploring Operation: 46-45=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 46-45=1 Current State: 53:[53, 1], Operations: ['17+36=53', '46-45=1'] Exploring Operation: 53*1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 53, 6, 30, 62 ]
79
[ "53-6=47", "62-30=32", "47+32=79" ]
Current State: 79:[53, 6, 30, 62], Operations: [] Exploring Operation: 53-6=47, Resulting Numbers: [30, 62, 47] Generated Node #2: [30, 62, 47] from Operation: 53-6=47 Current State: 79:[30, 62, 47], Operations: ['53-6=47'] Exploring Operation: 62-30=32, Resulting Numbers: [47, 32] Generated Node #3: [47, 32] from Operation: 62-30=32 Current State: 79:[47, 32], Operations: ['53-6=47', '62-30=32'] Exploring Operation: 47+32=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 89, 3, 91, 8 ]
12
[ "91-89=2", "3*8=24", "24/2=12" ]
Current State: 12:[89, 3, 91, 8], Operations: [] Exploring Operation: 91-89=2, Resulting Numbers: [3, 8, 2] Generated Node #2: [3, 8, 2] from Operation: 91-89=2 Current State: 12:[3, 8, 2], Operations: ['91-89=2'] Exploring Operation: 3*8=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operation: 3*8=24 Current State: 12:[2, 24], Operations: ['91-89=2', '3*8=24'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 8, 58, 45, 54 ]
90
[ "8*45=360", "58-54=4", "360/4=90" ]
Current State: 90:[8, 58, 45, 54], Operations: [] Exploring Operation: 8*45=360, Resulting Numbers: [58, 54, 360] Generated Node #2: [58, 54, 360] from Operation: 8*45=360 Current State: 90:[58, 54, 360], Operations: ['8*45=360'] Exploring Operation: 58-54=4, Resulting Numbers: [360, 4] Generated Node #3: [360, 4] from Operation: 58-54=4 Current State: 90:[360, 4], Operations: ['8*45=360', '58-54=4'] Exploring Operation: 360/4=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 93, 40, 25, 85 ]
32
[ "93-25=68", "40*68=2720", "2720/85=32" ]
Current State: 32:[93, 40, 25, 85], Operations: [] Exploring Operation: 93-25=68, Resulting Numbers: [40, 85, 68] Generated Node #2: [40, 85, 68] from Operation: 93-25=68 Current State: 32:[40, 85, 68], Operations: ['93-25=68'] Exploring Operation: 40*68=2720, Resulting Numbers: [85, 2720] Generated Node #3: [85, 2720] from Operation: 40*68=2720 Current State: 32:[85, 2720], Operations: ['93-25=68', '40*68=2720'] Exploring Operation: 2720/85=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 66, 13, 37, 6 ]
35
[ "66/6=11", "37-13=24", "11+24=35" ]
Current State: 35:[66, 13, 37, 6], Operations: [] Exploring Operation: 66/6=11, Resulting Numbers: [13, 37, 11] Generated Node #2: [13, 37, 11] from Operation: 66/6=11 Current State: 35:[13, 37, 11], Operations: ['66/6=11'] Exploring Operation: 37-13=24, Resulting Numbers: [11, 24] Generated Node #3: [11, 24] from Operation: 37-13=24 Current State: 35:[11, 24], Operations: ['66/6=11', '37-13=24'] Exploring Operation: 11+24=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 19, 83, 78, 81 ]
99
[ "19+83=102", "81-78=3", "102-3=99" ]
Current State: 99:[19, 83, 78, 81], Operations: [] Exploring Operation: 19+83=102, Resulting Numbers: [78, 81, 102] Generated Node #2: [78, 81, 102] from Operation: 19+83=102 Current State: 99:[78, 81, 102], Operations: ['19+83=102'] Exploring Operation: 81-78=3, Resulting Numbers: [102, 3] Generated Node #3: [102, 3] from Operation: 81-78=3 Current State: 99:[102, 3], Operations: ['19+83=102', '81-78=3'] Exploring Operation: 102-3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 69, 88, 24, 68 ]
64
[ "69-68=1", "88-24=64", "1*64=64" ]
Current State: 64:[69, 88, 24, 68], Operations: [] Exploring Operation: 69-68=1, Resulting Numbers: [88, 24, 1] Generated Node #2: [88, 24, 1] from Operation: 69-68=1 Current State: 64:[88, 24, 1], Operations: ['69-68=1'] Exploring Operation: 88-24=64, Resulting Numbers: [1, 64] Generated Node #3: [1, 64] from Operation: 88-24=64 Current State: 64:[1, 64], Operations: ['69-68=1', '88-24=64'] Exploring Operation: 1*64=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 54, 52, 2, 2 ]
27
[ "54/2=27", "52+2=54", "54-27=27" ]
Current State: 27:[54, 52, 2, 2], Operations: [] Exploring Operation: 54/2=27, Resulting Numbers: [52, 27] Generated Node #2: [52, 27] from Operation: 54/2=27 Current State: 27:[52, 27], Operations: ['54/2=27'] Exploring Operation: 52+2=54, Resulting Numbers: [27, 54] Generated Node #3: [27, 54] from Operation: 52+2=54 Current State: 27:[27, 54], Operations: ['54/2=27', '52+2=54'] Exploring Operation: 54-27=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 65, 1, 52, 30 ]
23
[ "52*30=1560", "1560/65=24", "24-1=23" ]
Current State: 23:[65, 1, 52, 30], Operations: [] Exploring Operation: 52*30=1560, Resulting Numbers: [65, 1, 1560] Generated Node #2: [65, 1, 1560] from Operation: 52*30=1560 Current State: 23:[65, 1, 1560], Operations: ['52*30=1560'] Exploring Operation: 1560/65=24, Resulting Numbers: [1, 24] Generated Node #3: [1, 24] from Operation: 1560/65=24 Current State: 23:[1, 24], Operations: ['52*30=1560', '1560/65=24'] Exploring Operation: 24-1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 27, 73, 18, 68 ]
50
[ "27+73=100", "68-18=50", "100-50=50" ]
Current State: 50:[27, 73, 18, 68], Operations: [] Exploring Operation: 27+73=100, Resulting Numbers: [18, 68, 100] Generated Node #2: [18, 68, 100] from Operation: 27+73=100 Current State: 50:[18, 68, 100], Operations: ['27+73=100'] Exploring Operation: 68-18=50, Resulting Numbers: [100, 50] Generated Node #3: [100, 50] from Operation: 68-18=50 Current State: 50:[100, 50], Operations: ['27+73=100', '68-18=50'] Exploring Operation: 100-50=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 2, 83, 12, 54 ]
19
[ "2+83=85", "12+54=66", "85-66=19" ]
Current State: 19:[2, 83, 12, 54], Operations: [] Exploring Operation: 2+83=85, Resulting Numbers: [12, 54, 85] Generated Node #2: [12, 54, 85] from Operation: 2+83=85 Current State: 19:[12, 54, 85], Operations: ['2+83=85'] Exploring Operation: 12+54=66, Resulting Numbers: [85, 66] Generated Node #3: [85, 66] from Operation: 12+54=66 Current State: 19:[85, 66], Operations: ['2+83=85', '12+54=66'] Exploring Operation: 85-66=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 47, 5, 6, 13 ]
72
[ "47+13=60", "60/5=12", "6*12=72" ]
Current State: 72:[47, 5, 6, 13], Operations: [] Exploring Operation: 47+13=60, Resulting Numbers: [5, 6, 60] Generated Node #2: [5, 6, 60] from Operation: 47+13=60 Current State: 72:[5, 6, 60], Operations: ['47+13=60'] Exploring Operation: 60/5=12, Resulting Numbers: [6, 12] Generated Node #3: [6, 12] from Operation: 60/5=12 Current State: 72:[6, 12], Operations: ['47+13=60', '60/5=12'] Exploring Operation: 6*12=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 72, 56, 23, 89 ]
96
[ "72-56=16", "23+89=112", "112-16=96" ]
Current State: 96:[72, 56, 23, 89], Operations: [] Exploring Operation: 72-56=16, Resulting Numbers: [23, 89, 16] Generated Node #2: [23, 89, 16] from Operation: 72-56=16 Current State: 96:[23, 89, 16], Operations: ['72-56=16'] Exploring Operation: 23+89=112, Resulting Numbers: [16, 112] Generated Node #3: [16, 112] from Operation: 23+89=112 Current State: 96:[16, 112], Operations: ['72-56=16', '23+89=112'] Exploring Operation: 112-16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 64, 27, 93, 16 ]
18
[ "64+27=91", "93+16=109", "109-91=18" ]
Current State: 18:[64, 27, 93, 16], Operations: [] Exploring Operation: 64+27=91, Resulting Numbers: [93, 16, 91] Generated Node #2: [93, 16, 91] from Operation: 64+27=91 Current State: 18:[93, 16, 91], Operations: ['64+27=91'] Exploring Operation: 93+16=109, Resulting Numbers: [91, 109] Generated Node #3: [91, 109] from Operation: 93+16=109 Current State: 18:[91, 109], Operations: ['64+27=91', '93+16=109'] Exploring Operation: 109-91=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 63, 11, 15, 99 ]
57
[ "63-15=48", "99/11=9", "48+9=57" ]
Current State: 57:[63, 11, 15, 99], Operations: [] Exploring Operation: 63-15=48, Resulting Numbers: [11, 99, 48] Generated Node #2: [11, 99, 48] from Operation: 63-15=48 Current State: 57:[11, 99, 48], Operations: ['63-15=48'] Exploring Operation: 99/11=9, Resulting Numbers: [48, 9] Generated Node #3: [48, 9] from Operation: 99/11=9 Current State: 57:[48, 9], Operations: ['63-15=48', '99/11=9'] Exploring Operation: 48+9=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 17, 47, 97, 83 ]
44
[ "47-17=30", "97-83=14", "30+14=44" ]
Current State: 44:[17, 47, 97, 83], Operations: [] Exploring Operation: 47-17=30, Resulting Numbers: [97, 83, 30] Generated Node #2: [97, 83, 30] from Operation: 47-17=30 Current State: 44:[97, 83, 30], Operations: ['47-17=30'] Exploring Operation: 97-83=14, Resulting Numbers: [30, 14] Generated Node #3: [30, 14] from Operation: 97-83=14 Current State: 44:[30, 14], Operations: ['47-17=30', '97-83=14'] Exploring Operation: 30+14=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 26, 35, 28, 24 ]
37
[ "28+24=52", "52/26=2", "35+2=37" ]
Current State: 37:[26, 35, 28, 24], Operations: [] Exploring Operation: 28+24=52, Resulting Numbers: [26, 35, 52] Generated Node #2: [26, 35, 52] from Operation: 28+24=52 Current State: 37:[26, 35, 52], Operations: ['28+24=52'] Exploring Operation: 52/26=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 52/26=2 Current State: 37:[35, 2], Operations: ['28+24=52', '52/26=2'] Exploring Operation: 35+2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 47, 3, 43, 23 ]
59
[ "47+23=70", "3*43=129", "129-70=59" ]
Current State: 59:[47, 3, 43, 23], Operations: [] Exploring Operation: 47+23=70, Resulting Numbers: [3, 43, 70] Generated Node #2: [3, 43, 70] from Operation: 47+23=70 Current State: 59:[3, 43, 70], Operations: ['47+23=70'] Exploring Operation: 3*43=129, Resulting Numbers: [70, 129] Generated Node #3: [70, 129] from Operation: 3*43=129 Current State: 59:[70, 129], Operations: ['47+23=70', '3*43=129'] Exploring Operation: 129-70=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 4, 46, 62, 60 ]
31
[ "60/4=15", "62-46=16", "15+16=31" ]
Current State: 31:[4, 46, 62, 60], Operations: [] Exploring Operation: 60/4=15, Resulting Numbers: [46, 62, 15] Generated Node #2: [46, 62, 15] from Operation: 60/4=15 Current State: 31:[46, 62, 15], Operations: ['60/4=15'] Exploring Operation: 62-46=16, Resulting Numbers: [15, 16] Generated Node #3: [15, 16] from Operation: 62-46=16 Current State: 31:[15, 16], Operations: ['60/4=15', '62-46=16'] Exploring Operation: 15+16=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 77, 7, 91, 15 ]
49
[ "77-15=62", "91/7=13", "62-13=49" ]
Current State: 49:[77, 7, 91, 15], Operations: [] Exploring Operation: 77-15=62, Resulting Numbers: [7, 91, 62] Generated Node #2: [7, 91, 62] from Operation: 77-15=62 Current State: 49:[7, 91, 62], Operations: ['77-15=62'] Exploring Operation: 91/7=13, Resulting Numbers: [62, 13] Generated Node #3: [62, 13] from Operation: 91/7=13 Current State: 49:[62, 13], Operations: ['77-15=62', '91/7=13'] Exploring Operation: 62-13=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 4, 64, 48, 3 ]
68
[ "64-4=60", "60/3=20", "48+20=68" ]
Current State: 68:[4, 64, 48, 3], Operations: [] Exploring Operation: 64-4=60, Resulting Numbers: [48, 3, 60] Generated Node #2: [48, 3, 60] from Operation: 64-4=60 Current State: 68:[48, 3, 60], Operations: ['64-4=60'] Exploring Operation: 60/3=20, Resulting Numbers: [48, 20] Generated Node #3: [48, 20] from Operation: 60/3=20 Current State: 68:[48, 20], Operations: ['64-4=60', '60/3=20'] Exploring Operation: 48+20=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 8, 72, 24, 74 ]
69
[ "74-8=66", "72/24=3", "66+3=69" ]
Current State: 69:[8, 72, 24, 74], Operations: [] Exploring Operation: 74-8=66, Resulting Numbers: [72, 24, 66] Generated Node #2: [72, 24, 66] from Operation: 74-8=66 Current State: 69:[72, 24, 66], Operations: ['74-8=66'] Exploring Operation: 72/24=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 72/24=3 Current State: 69:[66, 3], Operations: ['74-8=66', '72/24=3'] Exploring Operation: 66+3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 8, 73, 61, 58 ]
97
[ "61-58=3", "8*3=24", "73+24=97" ]
Current State: 97:[8, 73, 61, 58], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [8, 73, 3] Generated Node #2: [8, 73, 3] from Operation: 61-58=3 Current State: 97:[8, 73, 3], Operations: ['61-58=3'] Exploring Operation: 8*3=24, Resulting Numbers: [73, 24] Generated Node #3: [73, 24] from Operation: 8*3=24 Current State: 97:[73, 24], Operations: ['61-58=3', '8*3=24'] Exploring Operation: 73+24=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 63, 82, 75, 21 ]
60
[ "82-75=7", "21/7=3", "63-3=60" ]
Current State: 60:[63, 82, 75, 21], Operations: [] Exploring Operation: 82-75=7, Resulting Numbers: [63, 21, 7] Generated Node #2: [63, 21, 7] from Operation: 82-75=7 Current State: 60:[63, 21, 7], Operations: ['82-75=7'] Exploring Operation: 21/7=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 21/7=3 Current State: 60:[63, 3], Operations: ['82-75=7', '21/7=3'] Exploring Operation: 63-3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 29, 48, 6, 68 ]
93
[ "48-29=19", "6+68=74", "19+74=93" ]
Current State: 93:[29, 48, 6, 68], Operations: [] Exploring Operation: 48-29=19, Resulting Numbers: [6, 68, 19] Generated Node #2: [6, 68, 19] from Operation: 48-29=19 Current State: 93:[6, 68, 19], Operations: ['48-29=19'] Exploring Operation: 6+68=74, Resulting Numbers: [19, 74] Generated Node #3: [19, 74] from Operation: 6+68=74 Current State: 93:[19, 74], Operations: ['48-29=19', '6+68=74'] Exploring Operation: 19+74=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 84, 6, 26, 35 ]
38
[ "84-6=78", "78/26=3", "35+3=38" ]
Current State: 38:[84, 6, 26, 35], Operations: [] Exploring Operation: 84-6=78, Resulting Numbers: [26, 35, 78] Generated Node #2: [26, 35, 78] from Operation: 84-6=78 Current State: 38:[26, 35, 78], Operations: ['84-6=78'] Exploring Operation: 78/26=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 78/26=3 Current State: 38:[35, 3], Operations: ['84-6=78', '78/26=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 59, 60, 67, 5 ]
100
[ "67-59=8", "5*8=40", "60+40=100" ]
Current State: 100:[59, 60, 67, 5], Operations: [] Exploring Operation: 67-59=8, Resulting Numbers: [60, 5, 8] Generated Node #2: [60, 5, 8] from Operation: 67-59=8 Current State: 100:[60, 5, 8], Operations: ['67-59=8'] Exploring Operation: 5*8=40, Resulting Numbers: [60, 40] Generated Node #3: [60, 40] from Operation: 5*8=40 Current State: 100:[60, 40], Operations: ['67-59=8', '5*8=40'] Exploring Operation: 60+40=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 40, 12, 2, 35 ]
69
[ "40+12=52", "2*52=104", "104-35=69" ]
Current State: 69:[40, 12, 2, 35], Operations: [] Exploring Operation: 40+12=52, Resulting Numbers: [2, 35, 52] Generated Node #2: [2, 35, 52] from Operation: 40+12=52 Current State: 69:[2, 35, 52], Operations: ['40+12=52'] Exploring Operation: 2*52=104, Resulting Numbers: [35, 104] Generated Node #3: [35, 104] from Operation: 2*52=104 Current State: 69:[35, 104], Operations: ['40+12=52', '2*52=104'] Exploring Operation: 104-35=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 15, 3, 9, 95 ]
13
[ "15-3=12", "9*12=108", "108-95=13" ]
Current State: 13:[15, 3, 9, 95], Operations: [] Exploring Operation: 15-3=12, Resulting Numbers: [9, 95, 12] Generated Node #2: [9, 95, 12] from Operation: 15-3=12 Current State: 13:[9, 95, 12], Operations: ['15-3=12'] Exploring Operation: 9*12=108, Resulting Numbers: [95, 108] Generated Node #3: [95, 108] from Operation: 9*12=108 Current State: 13:[95, 108], Operations: ['15-3=12', '9*12=108'] Exploring Operation: 108-95=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 84, 98, 85, 72 ]
27
[ "98-84=14", "85-72=13", "14+13=27" ]
Current State: 27:[84, 98, 85, 72], Operations: [] Exploring Operation: 98-84=14, Resulting Numbers: [85, 72, 14] Generated Node #2: [85, 72, 14] from Operation: 98-84=14 Current State: 27:[85, 72, 14], Operations: ['98-84=14'] Exploring Operation: 85-72=13, Resulting Numbers: [14, 13] Generated Node #3: [14, 13] from Operation: 85-72=13 Current State: 27:[14, 13], Operations: ['98-84=14', '85-72=13'] Exploring Operation: 14+13=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 15, 76, 68, 2 ]
15
[ "68-15=53", "76/2=38", "53-38=15" ]
Current State: 15:[15, 76, 68, 2], Operations: [] Exploring Operation: 68-15=53, Resulting Numbers: [76, 2, 53] Generated Node #2: [76, 2, 53] from Operation: 68-15=53 Current State: 15:[76, 2, 53], Operations: ['68-15=53'] Exploring Operation: 76/2=38, Resulting Numbers: [53, 38] Generated Node #3: [53, 38] from Operation: 76/2=38 Current State: 15:[53, 38], Operations: ['68-15=53', '76/2=38'] Exploring Operation: 53-38=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 57, 20, 24, 40 ]
72
[ "57-20=37", "40-37=3", "24*3=72" ]
Current State: 72:[57, 20, 24, 40], Operations: [] Exploring Operation: 57-20=37, Resulting Numbers: [24, 40, 37] Generated Node #2: [24, 40, 37] from Operation: 57-20=37 Current State: 72:[24, 40, 37], Operations: ['57-20=37'] Exploring Operation: 40-37=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 40-37=3 Current State: 72:[24, 3], Operations: ['57-20=37', '40-37=3'] Exploring Operation: 24*3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 82, 21, 37, 3 ]
18
[ "82-37=45", "21*3=63", "63-45=18" ]
Current State: 18:[82, 21, 37, 3], Operations: [] Exploring Operation: 82-37=45, Resulting Numbers: [21, 3, 45] Generated Node #2: [21, 3, 45] from Operation: 82-37=45 Current State: 18:[21, 3, 45], Operations: ['82-37=45'] Exploring Operation: 21*3=63, Resulting Numbers: [45, 63] Generated Node #3: [45, 63] from Operation: 21*3=63 Current State: 18:[45, 63], Operations: ['82-37=45', '21*3=63'] Exploring Operation: 63-45=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 58, 37, 65, 68 ]
15
[ "65-58=7", "37+68=105", "105/7=15" ]
Current State: 15:[58, 37, 65, 68], Operations: [] Exploring Operation: 65-58=7, Resulting Numbers: [37, 68, 7] Generated Node #2: [37, 68, 7] from Operation: 65-58=7 Current State: 15:[37, 68, 7], Operations: ['65-58=7'] Exploring Operation: 37+68=105, Resulting Numbers: [7, 105] Generated Node #3: [7, 105] from Operation: 37+68=105 Current State: 15:[7, 105], Operations: ['65-58=7', '37+68=105'] Exploring Operation: 105/7=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 65, 68, 27, 65 ]
27
[ "65-65=0", "68*0=0", "27+0=27" ]
Current State: 27:[65, 68, 27, 65], Operations: [] Exploring Operation: 65-65=0, Resulting Numbers: [68, 27, 0] Generated Node #2: [68, 27, 0] from Operation: 65-65=0 Current State: 27:[68, 27, 0], Operations: ['65-65=0'] Exploring Operation: 68*0=0, Resulting Numbers: [27, 0] Generated Node #3: [27, 0] from Operation: 68*0=0 Current State: 27:[27, 0], Operations: ['65-65=0', '68*0=0'] Exploring Operation: 27+0=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 91, 59, 90, 18 ]
77
[ "91-90=1", "59+18=77", "1*77=77" ]
Current State: 77:[91, 59, 90, 18], Operations: [] Exploring Operation: 91-90=1, Resulting Numbers: [59, 18, 1] Generated Node #2: [59, 18, 1] from Operation: 91-90=1 Current State: 77:[59, 18, 1], Operations: ['91-90=1'] Exploring Operation: 59+18=77, Resulting Numbers: [1, 77] Generated Node #3: [1, 77] from Operation: 59+18=77 Current State: 77:[1, 77], Operations: ['91-90=1', '59+18=77'] Exploring Operation: 1*77=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 71, 45, 2, 60 ]
28
[ "71+45=116", "116-60=56", "56/2=28" ]
Current State: 28:[71, 45, 2, 60], Operations: [] Exploring Operation: 71+45=116, Resulting Numbers: [2, 60, 116] Generated Node #2: [2, 60, 116] from Operation: 71+45=116 Current State: 28:[2, 60, 116], Operations: ['71+45=116'] Exploring Operation: 116-60=56, Resulting Numbers: [2, 56] Generated Node #3: [2, 56] from Operation: 116-60=56 Current State: 28:[2, 56], Operations: ['71+45=116', '116-60=56'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 93, 41, 60, 81 ]
31
[ "93-41=52", "81-60=21", "52-21=31" ]
Current State: 31:[93, 41, 60, 81], Operations: [] Exploring Operation: 93-41=52, Resulting Numbers: [60, 81, 52] Generated Node #2: [60, 81, 52] from Operation: 93-41=52 Current State: 31:[60, 81, 52], Operations: ['93-41=52'] Exploring Operation: 81-60=21, Resulting Numbers: [52, 21] Generated Node #3: [52, 21] from Operation: 81-60=21 Current State: 31:[52, 21], Operations: ['93-41=52', '81-60=21'] Exploring Operation: 52-21=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 48, 93, 38, 34 ]
49
[ "93-48=45", "38-34=4", "45+4=49" ]
Current State: 49:[48, 93, 38, 34], Operations: [] Exploring Operation: 93-48=45, Resulting Numbers: [38, 34, 45] Generated Node #2: [38, 34, 45] from Operation: 93-48=45 Current State: 49:[38, 34, 45], Operations: ['93-48=45'] Exploring Operation: 38-34=4, Resulting Numbers: [45, 4] Generated Node #3: [45, 4] from Operation: 38-34=4 Current State: 49:[45, 4], Operations: ['93-48=45', '38-34=4'] Exploring Operation: 45+4=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 72, 31, 29, 79 ]
43
[ "31-29=2", "72/2=36", "79-36=43" ]
Current State: 43:[72, 31, 29, 79], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [72, 79, 2] Generated Node #2: [72, 79, 2] from Operation: 31-29=2 Current State: 43:[72, 79, 2], Operations: ['31-29=2'] Exploring Operation: 72/2=36, Resulting Numbers: [79, 36] Generated Node #3: [79, 36] from Operation: 72/2=36 Current State: 43:[79, 36], Operations: ['31-29=2', '72/2=36'] Exploring Operation: 79-36=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 88, 1, 79, 51 ]
43
[ "88-1=87", "79+51=130", "130-87=43" ]
Current State: 43:[88, 1, 79, 51], Operations: [] Exploring Operation: 88-1=87, Resulting Numbers: [79, 51, 87] Generated Node #2: [79, 51, 87] from Operation: 88-1=87 Current State: 43:[79, 51, 87], Operations: ['88-1=87'] Exploring Operation: 79+51=130, Resulting Numbers: [87, 130] Generated Node #3: [87, 130] from Operation: 79+51=130 Current State: 43:[87, 130], Operations: ['88-1=87', '79+51=130'] Exploring Operation: 130-87=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 77, 58, 62, 93 ]
90
[ "77+58=135", "62*135=8370", "8370/93=90" ]
Current State: 90:[77, 58, 62, 93], Operations: [] Exploring Operation: 77+58=135, Resulting Numbers: [62, 93, 135] Generated Node #2: [62, 93, 135] from Operation: 77+58=135 Current State: 90:[62, 93, 135], Operations: ['77+58=135'] Exploring Operation: 62*135=8370, Resulting Numbers: [93, 8370] Generated Node #3: [93, 8370] from Operation: 62*135=8370 Current State: 90:[93, 8370], Operations: ['77+58=135', '62*135=8370'] Exploring Operation: 8370/93=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 96, 20, 92, 48 ]
53
[ "96-92=4", "20/4=5", "48+5=53" ]
Current State: 53:[96, 20, 92, 48], Operations: [] Exploring Operation: 96-92=4, Resulting Numbers: [20, 48, 4] Generated Node #2: [20, 48, 4] from Operation: 96-92=4 Current State: 53:[20, 48, 4], Operations: ['96-92=4'] Exploring Operation: 20/4=5, Resulting Numbers: [48, 5] Generated Node #3: [48, 5] from Operation: 20/4=5 Current State: 53:[48, 5], Operations: ['96-92=4', '20/4=5'] Exploring Operation: 48+5=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 69, 62, 21, 20 ]
60
[ "69-62=7", "21*20=420", "420/7=60" ]
Current State: 60:[69, 62, 21, 20], Operations: [] Exploring Operation: 69-62=7, Resulting Numbers: [21, 20, 7] Generated Node #2: [21, 20, 7] from Operation: 69-62=7 Current State: 60:[21, 20, 7], Operations: ['69-62=7'] Exploring Operation: 21*20=420, Resulting Numbers: [7, 420] Generated Node #3: [7, 420] from Operation: 21*20=420 Current State: 60:[7, 420], Operations: ['69-62=7', '21*20=420'] Exploring Operation: 420/7=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 37, 51, 28, 5 ]
47
[ "51-37=14", "28+5=33", "14+33=47" ]
Current State: 47:[37, 51, 28, 5], Operations: [] Exploring Operation: 51-37=14, Resulting Numbers: [28, 5, 14] Generated Node #2: [28, 5, 14] from Operation: 51-37=14 Current State: 47:[28, 5, 14], Operations: ['51-37=14'] Exploring Operation: 28+5=33, Resulting Numbers: [14, 33] Generated Node #3: [14, 33] from Operation: 28+5=33 Current State: 47:[14, 33], Operations: ['51-37=14', '28+5=33'] Exploring Operation: 14+33=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 18, 44, 85, 37 ]
14
[ "18+44=62", "85-37=48", "62-48=14" ]
Current State: 14:[18, 44, 85, 37], Operations: [] Exploring Operation: 18+44=62, Resulting Numbers: [85, 37, 62] Generated Node #2: [85, 37, 62] from Operation: 18+44=62 Current State: 14:[85, 37, 62], Operations: ['18+44=62'] Exploring Operation: 85-37=48, Resulting Numbers: [62, 48] Generated Node #3: [62, 48] from Operation: 85-37=48 Current State: 14:[62, 48], Operations: ['18+44=62', '85-37=48'] Exploring Operation: 62-48=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 7, 72, 33, 94 ]
48
[ "7+72=79", "33+94=127", "127-79=48" ]
Current State: 48:[7, 72, 33, 94], Operations: [] Exploring Operation: 7+72=79, Resulting Numbers: [33, 94, 79] Generated Node #2: [33, 94, 79] from Operation: 7+72=79 Current State: 48:[33, 94, 79], Operations: ['7+72=79'] Exploring Operation: 33+94=127, Resulting Numbers: [79, 127] Generated Node #3: [79, 127] from Operation: 33+94=127 Current State: 48:[79, 127], Operations: ['7+72=79', '33+94=127'] Exploring Operation: 127-79=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 75, 86, 45, 50 ]
60
[ "86-50=36", "75*36=2700", "2700/45=60" ]
Current State: 60:[75, 86, 45, 50], Operations: [] Exploring Operation: 86-50=36, Resulting Numbers: [75, 45, 36] Generated Node #2: [75, 45, 36] from Operation: 86-50=36 Current State: 60:[75, 45, 36], Operations: ['86-50=36'] Exploring Operation: 75*36=2700, Resulting Numbers: [45, 2700] Generated Node #3: [45, 2700] from Operation: 75*36=2700 Current State: 60:[45, 2700], Operations: ['86-50=36', '75*36=2700'] Exploring Operation: 2700/45=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 41, 43, 11, 43 ]
41
[ "43-43=0", "11*0=0", "41+0=41" ]
Current State: 41:[41, 43, 11, 43], Operations: [] Exploring Operation: 43-43=0, Resulting Numbers: [41, 11, 0] Generated Node #2: [41, 11, 0] from Operation: 43-43=0 Current State: 41:[41, 11, 0], Operations: ['43-43=0'] Exploring Operation: 11*0=0, Resulting Numbers: [41, 0] Generated Node #3: [41, 0] from Operation: 11*0=0 Current State: 41:[41, 0], Operations: ['43-43=0', '11*0=0'] Exploring Operation: 41+0=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 76, 48, 40, 19 ]
87
[ "76-48=28", "40+19=59", "28+59=87" ]
Current State: 87:[76, 48, 40, 19], Operations: [] Exploring Operation: 76-48=28, Resulting Numbers: [40, 19, 28] Generated Node #2: [40, 19, 28] from Operation: 76-48=28 Current State: 87:[40, 19, 28], Operations: ['76-48=28'] Exploring Operation: 40+19=59, Resulting Numbers: [28, 59] Generated Node #3: [28, 59] from Operation: 40+19=59 Current State: 87:[28, 59], Operations: ['76-48=28', '40+19=59'] Exploring Operation: 28+59=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 29, 29, 2, 94 ]
46
[ "29/29=1", "94/2=47", "47-1=46" ]
Current State: 46:[29, 29, 2, 94], Operations: [] Exploring Operation: 29/29=1, Resulting Numbers: [2, 94, 1] Generated Node #2: [2, 94, 1] from Operation: 29/29=1 Current State: 46:[2, 94, 1], Operations: ['29/29=1'] Exploring Operation: 94/2=47, Resulting Numbers: [1, 47] Generated Node #3: [1, 47] from Operation: 94/2=47 Current State: 46:[1, 47], Operations: ['29/29=1', '94/2=47'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 19, 23, 81, 3 ]
36
[ "19+23=42", "81-3=78", "78-42=36" ]
Current State: 36:[19, 23, 81, 3], Operations: [] Exploring Operation: 19+23=42, Resulting Numbers: [81, 3, 42] Generated Node #2: [81, 3, 42] from Operation: 19+23=42 Current State: 36:[81, 3, 42], Operations: ['19+23=42'] Exploring Operation: 81-3=78, Resulting Numbers: [42, 78] Generated Node #3: [42, 78] from Operation: 81-3=78 Current State: 36:[42, 78], Operations: ['19+23=42', '81-3=78'] Exploring Operation: 78-42=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 17, 15, 6, 78 ]
70
[ "17-15=2", "78-6=72", "72-2=70" ]
Current State: 70:[17, 15, 6, 78], Operations: [] Exploring Operation: 17-15=2, Resulting Numbers: [6, 78, 2] Generated Node #2: [6, 78, 2] from Operation: 17-15=2 Current State: 70:[6, 78, 2], Operations: ['17-15=2'] Exploring Operation: 78-6=72, Resulting Numbers: [2, 72] Generated Node #3: [2, 72] from Operation: 78-6=72 Current State: 70:[2, 72], Operations: ['17-15=2', '78-6=72'] Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 3, 36, 32, 66 ]
59
[ "3+36=39", "32+66=98", "98-39=59" ]
Current State: 59:[3, 36, 32, 66], Operations: [] Exploring Operation: 3+36=39, Resulting Numbers: [32, 66, 39] Generated Node #2: [32, 66, 39] from Operation: 3+36=39 Current State: 59:[32, 66, 39], Operations: ['3+36=39'] Exploring Operation: 32+66=98, Resulting Numbers: [39, 98] Generated Node #3: [39, 98] from Operation: 32+66=98 Current State: 59:[39, 98], Operations: ['3+36=39', '32+66=98'] Exploring Operation: 98-39=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 71, 69, 7, 73 ]
31
[ "73-71=2", "69-7=62", "62/2=31" ]
Current State: 31:[71, 69, 7, 73], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [69, 7, 2] Generated Node #2: [69, 7, 2] from Operation: 73-71=2 Current State: 31:[69, 7, 2], Operations: ['73-71=2'] Exploring Operation: 69-7=62, Resulting Numbers: [2, 62] Generated Node #3: [2, 62] from Operation: 69-7=62 Current State: 31:[2, 62], Operations: ['73-71=2', '69-7=62'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 20, 85, 60, 17 ]
75
[ "20+60=80", "85/17=5", "80-5=75" ]
Current State: 75:[20, 85, 60, 17], Operations: [] Exploring Operation: 20+60=80, Resulting Numbers: [85, 17, 80] Generated Node #2: [85, 17, 80] from Operation: 20+60=80 Current State: 75:[85, 17, 80], Operations: ['20+60=80'] Exploring Operation: 85/17=5, Resulting Numbers: [80, 5] Generated Node #3: [80, 5] from Operation: 85/17=5 Current State: 75:[80, 5], Operations: ['20+60=80', '85/17=5'] Exploring Operation: 80-5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 10, 62, 80, 11 ]
92
[ "10*11=110", "80-62=18", "110-18=92" ]
Current State: 92:[10, 62, 80, 11], Operations: [] Exploring Operation: 10*11=110, Resulting Numbers: [62, 80, 110] Generated Node #2: [62, 80, 110] from Operation: 10*11=110 Current State: 92:[62, 80, 110], Operations: ['10*11=110'] Exploring Operation: 80-62=18, Resulting Numbers: [110, 18] Generated Node #3: [110, 18] from Operation: 80-62=18 Current State: 92:[110, 18], Operations: ['10*11=110', '80-62=18'] Exploring Operation: 110-18=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 22, 48, 28, 26 ]
35
[ "22+48=70", "28-26=2", "70/2=35" ]
Current State: 35:[22, 48, 28, 26], Operations: [] Exploring Operation: 22+48=70, Resulting Numbers: [28, 26, 70] Generated Node #2: [28, 26, 70] from Operation: 22+48=70 Current State: 35:[28, 26, 70], Operations: ['22+48=70'] Exploring Operation: 28-26=2, Resulting Numbers: [70, 2] Generated Node #3: [70, 2] from Operation: 28-26=2 Current State: 35:[70, 2], Operations: ['22+48=70', '28-26=2'] Exploring Operation: 70/2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 43, 38, 49, 49 ]
80
[ "43+38=81", "49/49=1", "81-1=80" ]
Current State: 80:[43, 38, 49, 49], Operations: [] Exploring Operation: 43+38=81, Resulting Numbers: [49, 49, 81] Generated Node #2: [49, 49, 81] from Operation: 43+38=81 Current State: 80:[49, 49, 81], Operations: ['43+38=81'] Exploring Operation: 49/49=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 49/49=1 Current State: 80:[81, 1], Operations: ['43+38=81', '49/49=1'] Exploring Operation: 81-1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 52, 32, 58, 16 ]
22
[ "52-32=20", "58-16=42", "42-20=22" ]
Current State: 22:[52, 32, 58, 16], Operations: [] Exploring Operation: 52-32=20, Resulting Numbers: [58, 16, 20] Generated Node #2: [58, 16, 20] from Operation: 52-32=20 Current State: 22:[58, 16, 20], Operations: ['52-32=20'] Exploring Operation: 58-16=42, Resulting Numbers: [20, 42] Generated Node #3: [20, 42] from Operation: 58-16=42 Current State: 22:[20, 42], Operations: ['52-32=20', '58-16=42'] Exploring Operation: 42-20=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 62, 57, 78, 10 ]
28
[ "62-57=5", "10*5=50", "78-50=28" ]
Current State: 28:[62, 57, 78, 10], Operations: [] Exploring Operation: 62-57=5, Resulting Numbers: [78, 10, 5] Generated Node #2: [78, 10, 5] from Operation: 62-57=5 Current State: 28:[78, 10, 5], Operations: ['62-57=5'] Exploring Operation: 10*5=50, Resulting Numbers: [78, 50] Generated Node #3: [78, 50] from Operation: 10*5=50 Current State: 28:[78, 50], Operations: ['62-57=5', '10*5=50'] Exploring Operation: 78-50=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 10, 37, 8, 26 ]
65
[ "10+37=47", "26-8=18", "47+18=65" ]
Current State: 65:[10, 37, 8, 26], Operations: [] Exploring Operation: 10+37=47, Resulting Numbers: [8, 26, 47] Generated Node #2: [8, 26, 47] from Operation: 10+37=47 Current State: 65:[8, 26, 47], Operations: ['10+37=47'] Exploring Operation: 26-8=18, Resulting Numbers: [47, 18] Generated Node #3: [47, 18] from Operation: 26-8=18 Current State: 65:[47, 18], Operations: ['10+37=47', '26-8=18'] Exploring Operation: 47+18=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 64, 24, 87, 89 ]
66
[ "87+89=176", "24*176=4224", "4224/64=66" ]
Current State: 66:[64, 24, 87, 89], Operations: [] Exploring Operation: 87+89=176, Resulting Numbers: [64, 24, 176] Generated Node #2: [64, 24, 176] from Operation: 87+89=176 Current State: 66:[64, 24, 176], Operations: ['87+89=176'] Exploring Operation: 24*176=4224, Resulting Numbers: [64, 4224] Generated Node #3: [64, 4224] from Operation: 24*176=4224 Current State: 66:[64, 4224], Operations: ['87+89=176', '24*176=4224'] Exploring Operation: 4224/64=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 44, 19, 41, 14 ]
36
[ "44+19=63", "41-14=27", "63-27=36" ]
Current State: 36:[44, 19, 41, 14], Operations: [] Exploring Operation: 44+19=63, Resulting Numbers: [41, 14, 63] Generated Node #2: [41, 14, 63] from Operation: 44+19=63 Current State: 36:[41, 14, 63], Operations: ['44+19=63'] Exploring Operation: 41-14=27, Resulting Numbers: [63, 27] Generated Node #3: [63, 27] from Operation: 41-14=27 Current State: 36:[63, 27], Operations: ['44+19=63', '41-14=27'] Exploring Operation: 63-27=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 13, 97, 98, 61 ]
48
[ "61-13=48", "98-97=1", "48*1=48" ]
Current State: 48:[13, 97, 98, 61], Operations: [] Exploring Operation: 61-13=48, Resulting Numbers: [97, 98, 48] Generated Node #2: [97, 98, 48] from Operation: 61-13=48 Current State: 48:[97, 98, 48], Operations: ['61-13=48'] Exploring Operation: 98-97=1, Resulting Numbers: [48, 1] Generated Node #3: [48, 1] from Operation: 98-97=1 Current State: 48:[48, 1], Operations: ['61-13=48', '98-97=1'] Exploring Operation: 48*1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 4, 12, 58, 64 ]
71
[ "64-12=52", "52/4=13", "58+13=71" ]
Current State: 71:[4, 12, 58, 64], Operations: [] Exploring Operation: 64-12=52, Resulting Numbers: [4, 58, 52] Generated Node #2: [4, 58, 52] from Operation: 64-12=52 Current State: 71:[4, 58, 52], Operations: ['64-12=52'] Exploring Operation: 52/4=13, Resulting Numbers: [58, 13] Generated Node #3: [58, 13] from Operation: 52/4=13 Current State: 71:[58, 13], Operations: ['64-12=52', '52/4=13'] Exploring Operation: 58+13=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 78, 88, 92, 31 ]
43
[ "78+88=166", "92+31=123", "166-123=43" ]
Current State: 43:[78, 88, 92, 31], Operations: [] Exploring Operation: 78+88=166, Resulting Numbers: [92, 31, 166] Generated Node #2: [92, 31, 166] from Operation: 78+88=166 Current State: 43:[92, 31, 166], Operations: ['78+88=166'] Exploring Operation: 92+31=123, Resulting Numbers: [166, 123] Generated Node #3: [166, 123] from Operation: 92+31=123 Current State: 43:[166, 123], Operations: ['78+88=166', '92+31=123'] Exploring Operation: 166-123=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 47, 30, 68, 74 ]
23
[ "47-30=17", "74-68=6", "17+6=23" ]
Current State: 23:[47, 30, 68, 74], Operations: [] Exploring Operation: 47-30=17, Resulting Numbers: [68, 74, 17] Generated Node #2: [68, 74, 17] from Operation: 47-30=17 Current State: 23:[68, 74, 17], Operations: ['47-30=17'] Exploring Operation: 74-68=6, Resulting Numbers: [17, 6] Generated Node #3: [17, 6] from Operation: 74-68=6 Current State: 23:[17, 6], Operations: ['47-30=17', '74-68=6'] Exploring Operation: 17+6=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 9, 16, 42, 60 ]
68
[ "16*42=672", "672-60=612", "612/9=68" ]
Current State: 68:[9, 16, 42, 60], Operations: [] Exploring Operation: 16*42=672, Resulting Numbers: [9, 60, 672] Generated Node #2: [9, 60, 672] from Operation: 16*42=672 Current State: 68:[9, 60, 672], Operations: ['16*42=672'] Exploring Operation: 672-60=612, Resulting Numbers: [9, 612] Generated Node #3: [9, 612] from Operation: 672-60=612 Current State: 68:[9, 612], Operations: ['16*42=672', '672-60=612'] Exploring Operation: 612/9=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 21, 9, 2, 98 ]
17
[ "21+98=119", "9-2=7", "119/7=17" ]
Current State: 17:[21, 9, 2, 98], Operations: [] Exploring Operation: 21+98=119, Resulting Numbers: [9, 2, 119] Generated Node #2: [9, 2, 119] from Operation: 21+98=119 Current State: 17:[9, 2, 119], Operations: ['21+98=119'] Exploring Operation: 9-2=7, Resulting Numbers: [119, 7] Generated Node #3: [119, 7] from Operation: 9-2=7 Current State: 17:[119, 7], Operations: ['21+98=119', '9-2=7'] Exploring Operation: 119/7=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 54, 2, 57, 80 ]
100
[ "80-57=23", "2*23=46", "54+46=100" ]
Current State: 100:[54, 2, 57, 80], Operations: [] Exploring Operation: 80-57=23, Resulting Numbers: [54, 2, 23] Generated Node #2: [54, 2, 23] from Operation: 80-57=23 Current State: 100:[54, 2, 23], Operations: ['80-57=23'] Exploring Operation: 2*23=46, Resulting Numbers: [54, 46] Generated Node #3: [54, 46] from Operation: 2*23=46 Current State: 100:[54, 46], Operations: ['80-57=23', '2*23=46'] Exploring Operation: 54+46=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 53, 37, 46, 3 ]
27
[ "53-37=16", "46-3=43", "43-16=27" ]
Current State: 27:[53, 37, 46, 3], Operations: [] Exploring Operation: 53-37=16, Resulting Numbers: [46, 3, 16] Generated Node #2: [46, 3, 16] from Operation: 53-37=16 Current State: 27:[46, 3, 16], Operations: ['53-37=16'] Exploring Operation: 46-3=43, Resulting Numbers: [16, 43] Generated Node #3: [16, 43] from Operation: 46-3=43 Current State: 27:[16, 43], Operations: ['53-37=16', '46-3=43'] Exploring Operation: 43-16=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 51, 30, 34, 17 ]
42
[ "51-30=21", "34/17=2", "21*2=42" ]
Current State: 42:[51, 30, 34, 17], Operations: [] Exploring Operation: 51-30=21, Resulting Numbers: [34, 17, 21] Generated Node #2: [34, 17, 21] from Operation: 51-30=21 Current State: 42:[34, 17, 21], Operations: ['51-30=21'] Exploring Operation: 34/17=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 34/17=2 Current State: 42:[21, 2], Operations: ['51-30=21', '34/17=2'] Exploring Operation: 21*2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 82, 21, 94, 94 ]
82
[ "94-94=0", "21*0=0", "82+0=82" ]
Current State: 82:[82, 21, 94, 94], Operations: [] Exploring Operation: 94-94=0, Resulting Numbers: [82, 21, 0] Generated Node #2: [82, 21, 0] from Operation: 94-94=0 Current State: 82:[82, 21, 0], Operations: ['94-94=0'] Exploring Operation: 21*0=0, Resulting Numbers: [82, 0] Generated Node #3: [82, 0] from Operation: 21*0=0 Current State: 82:[82, 0], Operations: ['94-94=0', '21*0=0'] Exploring Operation: 82+0=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 4, 32, 7, 88 ]
24
[ "4+7=11", "88/11=8", "32-8=24" ]
Current State: 24:[4, 32, 7, 88], Operations: [] Exploring Operation: 4+7=11, Resulting Numbers: [32, 88, 11] Generated Node #2: [32, 88, 11] from Operation: 4+7=11 Current State: 24:[32, 88, 11], Operations: ['4+7=11'] Exploring Operation: 88/11=8, Resulting Numbers: [32, 8] Generated Node #3: [32, 8] from Operation: 88/11=8 Current State: 24:[32, 8], Operations: ['4+7=11', '88/11=8'] Exploring Operation: 32-8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 38, 91, 17, 37 ]
74
[ "38-37=1", "91-17=74", "1*74=74" ]
Current State: 74:[38, 91, 17, 37], Operations: [] Exploring Operation: 38-37=1, Resulting Numbers: [91, 17, 1] Generated Node #2: [91, 17, 1] from Operation: 38-37=1 Current State: 74:[91, 17, 1], Operations: ['38-37=1'] Exploring Operation: 91-17=74, Resulting Numbers: [1, 74] Generated Node #3: [1, 74] from Operation: 91-17=74 Current State: 74:[1, 74], Operations: ['38-37=1', '91-17=74'] Exploring Operation: 1*74=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 46, 30, 3, 87 ]
68
[ "46-30=16", "87-3=84", "84-16=68" ]
Current State: 68:[46, 30, 3, 87], Operations: [] Exploring Operation: 46-30=16, Resulting Numbers: [3, 87, 16] Generated Node #2: [3, 87, 16] from Operation: 46-30=16 Current State: 68:[3, 87, 16], Operations: ['46-30=16'] Exploring Operation: 87-3=84, Resulting Numbers: [16, 84] Generated Node #3: [16, 84] from Operation: 87-3=84 Current State: 68:[16, 84], Operations: ['46-30=16', '87-3=84'] Exploring Operation: 84-16=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 23, 80, 17, 3 ]
78
[ "23-17=6", "6/3=2", "80-2=78" ]
Current State: 78:[23, 80, 17, 3], Operations: [] Exploring Operation: 23-17=6, Resulting Numbers: [80, 3, 6] Generated Node #2: [80, 3, 6] from Operation: 23-17=6 Current State: 78:[80, 3, 6], Operations: ['23-17=6'] Exploring Operation: 6/3=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 6/3=2 Current State: 78:[80, 2], Operations: ['23-17=6', '6/3=2'] Exploring Operation: 80-2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 28, 84, 45, 40 ]
25
[ "84/28=3", "45/3=15", "40-15=25" ]
Current State: 25:[28, 84, 45, 40], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [45, 40, 3] Generated Node #2: [45, 40, 3] from Operation: 84/28=3 Current State: 25:[45, 40, 3], Operations: ['84/28=3'] Exploring Operation: 45/3=15, Resulting Numbers: [40, 15] Generated Node #3: [40, 15] from Operation: 45/3=15 Current State: 25:[40, 15], Operations: ['84/28=3', '45/3=15'] Exploring Operation: 40-15=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 34, 75, 39, 49 ]
47
[ "75-34=41", "39+49=88", "88-41=47" ]
Current State: 47:[34, 75, 39, 49], Operations: [] Exploring Operation: 75-34=41, Resulting Numbers: [39, 49, 41] Generated Node #2: [39, 49, 41] from Operation: 75-34=41 Current State: 47:[39, 49, 41], Operations: ['75-34=41'] Exploring Operation: 39+49=88, Resulting Numbers: [41, 88] Generated Node #3: [41, 88] from Operation: 39+49=88 Current State: 47:[41, 88], Operations: ['75-34=41', '39+49=88'] Exploring Operation: 88-41=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 19, 83, 45, 81 ]
83
[ "83-45=38", "38/19=2", "81+2=83" ]
Current State: 83:[19, 83, 45, 81], Operations: [] Exploring Operation: 83-45=38, Resulting Numbers: [19, 81, 38] Generated Node #2: [19, 81, 38] from Operation: 83-45=38 Current State: 83:[19, 81, 38], Operations: ['83-45=38'] Exploring Operation: 38/19=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 38/19=2 Current State: 83:[81, 2], Operations: ['83-45=38', '38/19=2'] Exploring Operation: 81+2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 51, 57, 60, 7 ]
24
[ "51+57=108", "60+108=168", "168/7=24" ]
Current State: 24:[51, 57, 60, 7], Operations: [] Exploring Operation: 51+57=108, Resulting Numbers: [60, 7, 108] Generated Node #2: [60, 7, 108] from Operation: 51+57=108 Current State: 24:[60, 7, 108], Operations: ['51+57=108'] Exploring Operation: 60+108=168, Resulting Numbers: [7, 168] Generated Node #3: [7, 168] from Operation: 60+108=168 Current State: 24:[7, 168], Operations: ['51+57=108', '60+108=168'] Exploring Operation: 168/7=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 99, 89, 95, 67 ]
39
[ "99-95=4", "89+67=156", "156/4=39" ]
Current State: 39:[99, 89, 95, 67], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [89, 67, 4] Generated Node #2: [89, 67, 4] from Operation: 99-95=4 Current State: 39:[89, 67, 4], Operations: ['99-95=4'] Exploring Operation: 89+67=156, Resulting Numbers: [4, 156] Generated Node #3: [4, 156] from Operation: 89+67=156 Current State: 39:[4, 156], Operations: ['99-95=4', '89+67=156'] Exploring Operation: 156/4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4