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
[ 70, 4, 10, 42 ]
73
[ "4+10=14", "42/14=3", "70+3=73" ]
Current State: 73:[70, 4, 10, 42], Operations: [] Exploring Operation: 4+10=14, Resulting Numbers: [70, 42, 14] Generated Node #2: [70, 42, 14] from Operation: 4+10=14 Current State: 73:[70, 42, 14], Operations: ['4+10=14'] Exploring Operation: 42/14=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 42/14=3 Current State: 73:[70, 3], Operations: ['4+10=14', '42/14=3'] Exploring Operation: 70+3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 58, 94, 2, 9 ]
20
[ "58+9=67", "94/2=47", "67-47=20" ]
Current State: 20:[58, 94, 2, 9], Operations: [] Exploring Operation: 58+9=67, Resulting Numbers: [94, 2, 67] Generated Node #2: [94, 2, 67] from Operation: 58+9=67 Current State: 20:[94, 2, 67], Operations: ['58+9=67'] Exploring Operation: 94/2=47, Resulting Numbers: [67, 47] Generated Node #3: [67, 47] from Operation: 94/2=47 Current State: 20:[67, 47], Operations: ['58+9=67', '94/2=47'] Exploring Operation: 67-47=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 1, 30, 63, 26 ]
66
[ "30-1=29", "63-26=37", "29+37=66" ]
Current State: 66:[1, 30, 63, 26], Operations: [] Exploring Operation: 30-1=29, Resulting Numbers: [63, 26, 29] Generated Node #2: [63, 26, 29] from Operation: 30-1=29 Current State: 66:[63, 26, 29], Operations: ['30-1=29'] Exploring Operation: 63-26=37, Resulting Numbers: [29, 37] Generated Node #3: [29, 37] from Operation: 63-26=37 Current State: 66:[29, 37], Operations: ['30-1=29', '63-26=37'] Exploring Operation: 29+37=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 26, 49, 82, 69 ]
88
[ "26+49=75", "82-69=13", "75+13=88" ]
Current State: 88:[26, 49, 82, 69], Operations: [] Exploring Operation: 26+49=75, Resulting Numbers: [82, 69, 75] Generated Node #2: [82, 69, 75] from Operation: 26+49=75 Current State: 88:[82, 69, 75], Operations: ['26+49=75'] Exploring Operation: 82-69=13, Resulting Numbers: [75, 13] Generated Node #3: [75, 13] from Operation: 82-69=13 Current State: 88:[75, 13], Operations: ['26+49=75', '82-69=13'] Exploring Operation: 75+13=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 19, 10, 70, 54 ]
34
[ "10*70=700", "700-54=646", "646/19=34" ]
Current State: 34:[19, 10, 70, 54], Operations: [] Exploring Operation: 10*70=700, Resulting Numbers: [19, 54, 700] Generated Node #2: [19, 54, 700] from Operation: 10*70=700 Current State: 34:[19, 54, 700], Operations: ['10*70=700'] Exploring Operation: 700-54=646, Resulting Numbers: [19, 646] Generated Node #3: [19, 646] from Operation: 700-54=646 Current State: 34:[19, 646], Operations: ['10*70=700', '700-54=646'] Exploring Operation: 646/19=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 2, 9, 74, 26 ]
52
[ "26/2=13", "74-9=65", "65-13=52" ]
Current State: 52:[2, 9, 74, 26], Operations: [] Exploring Operation: 26/2=13, Resulting Numbers: [9, 74, 13] Generated Node #2: [9, 74, 13] from Operation: 26/2=13 Current State: 52:[9, 74, 13], Operations: ['26/2=13'] Exploring Operation: 74-9=65, Resulting Numbers: [13, 65] Generated Node #3: [13, 65] from Operation: 74-9=65 Current State: 52:[13, 65], Operations: ['26/2=13', '74-9=65'] Exploring Operation: 65-13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 3, 5, 40, 16 ]
32
[ "3+5=8", "40-16=24", "8+24=32" ]
Current State: 32:[3, 5, 40, 16], Operations: [] Exploring Operation: 3+5=8, Resulting Numbers: [40, 16, 8] Generated Node #2: [40, 16, 8] from Operation: 3+5=8 Current State: 32:[40, 16, 8], Operations: ['3+5=8'] Exploring Operation: 40-16=24, Resulting Numbers: [8, 24] Generated Node #3: [8, 24] from Operation: 40-16=24 Current State: 32:[8, 24], Operations: ['3+5=8', '40-16=24'] Exploring Operation: 8+24=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 88, 33, 23, 44 ]
20
[ "88/44=2", "33-23=10", "2*10=20" ]
Current State: 20:[88, 33, 23, 44], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [33, 23, 2] Generated Node #2: [33, 23, 2] from Operation: 88/44=2 Current State: 20:[33, 23, 2], Operations: ['88/44=2'] Exploring Operation: 33-23=10, Resulting Numbers: [2, 10] Generated Node #3: [2, 10] from Operation: 33-23=10 Current State: 20:[2, 10], Operations: ['88/44=2', '33-23=10'] Exploring Operation: 2*10=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 59, 3, 83, 4 ]
76
[ "83-59=24", "3*24=72", "4+72=76" ]
Current State: 76:[59, 3, 83, 4], Operations: [] Exploring Operation: 83-59=24, Resulting Numbers: [3, 4, 24] Generated Node #2: [3, 4, 24] from Operation: 83-59=24 Current State: 76:[3, 4, 24], Operations: ['83-59=24'] Exploring Operation: 3*24=72, Resulting Numbers: [4, 72] Generated Node #3: [4, 72] from Operation: 3*24=72 Current State: 76:[4, 72], Operations: ['83-59=24', '3*24=72'] Exploring Operation: 4+72=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 4, 43, 63, 79 ]
54
[ "79-43=36", "36/4=9", "63-9=54" ]
Current State: 54:[4, 43, 63, 79], Operations: [] Exploring Operation: 79-43=36, Resulting Numbers: [4, 63, 36] Generated Node #2: [4, 63, 36] from Operation: 79-43=36 Current State: 54:[4, 63, 36], Operations: ['79-43=36'] Exploring Operation: 36/4=9, Resulting Numbers: [63, 9] Generated Node #3: [63, 9] from Operation: 36/4=9 Current State: 54:[63, 9], Operations: ['79-43=36', '36/4=9'] Exploring Operation: 63-9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 45, 84, 43, 66 ]
63
[ "45+84=129", "129/43=3", "66-3=63" ]
Current State: 63:[45, 84, 43, 66], Operations: [] Exploring Operation: 45+84=129, Resulting Numbers: [43, 66, 129] Generated Node #2: [43, 66, 129] from Operation: 45+84=129 Current State: 63:[43, 66, 129], Operations: ['45+84=129'] Exploring Operation: 129/43=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 129/43=3 Current State: 63:[66, 3], Operations: ['45+84=129', '129/43=3'] Exploring Operation: 66-3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 66, 70, 93, 66 ]
93
[ "66-66=0", "70*0=0", "93+0=93" ]
Current State: 93:[66, 70, 93, 66], Operations: [] Exploring Operation: 66-66=0, Resulting Numbers: [70, 93, 0] Generated Node #2: [70, 93, 0] from Operation: 66-66=0 Current State: 93:[70, 93, 0], Operations: ['66-66=0'] Exploring Operation: 70*0=0, Resulting Numbers: [93, 0] Generated Node #3: [93, 0] from Operation: 70*0=0 Current State: 93:[93, 0], Operations: ['66-66=0', '70*0=0'] Exploring Operation: 93+0=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 20, 21, 82, 54 ]
56
[ "20+21=41", "82/41=2", "54+2=56" ]
Current State: 56:[20, 21, 82, 54], Operations: [] Exploring Operation: 20+21=41, Resulting Numbers: [82, 54, 41] Generated Node #2: [82, 54, 41] from Operation: 20+21=41 Current State: 56:[82, 54, 41], Operations: ['20+21=41'] Exploring Operation: 82/41=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 82/41=2 Current State: 56:[54, 2], Operations: ['20+21=41', '82/41=2'] Exploring Operation: 54+2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 3, 27, 42, 48 ]
31
[ "48/3=16", "42-27=15", "16+15=31" ]
Current State: 31:[3, 27, 42, 48], Operations: [] Exploring Operation: 48/3=16, Resulting Numbers: [27, 42, 16] Generated Node #2: [27, 42, 16] from Operation: 48/3=16 Current State: 31:[27, 42, 16], Operations: ['48/3=16'] Exploring Operation: 42-27=15, Resulting Numbers: [16, 15] Generated Node #3: [16, 15] from Operation: 42-27=15 Current State: 31:[16, 15], Operations: ['48/3=16', '42-27=15'] Exploring Operation: 16+15=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 12, 77, 90, 80 ]
86
[ "80-77=3", "12/3=4", "90-4=86" ]
Current State: 86:[12, 77, 90, 80], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [12, 90, 3] Generated Node #2: [12, 90, 3] from Operation: 80-77=3 Current State: 86:[12, 90, 3], Operations: ['80-77=3'] Exploring Operation: 12/3=4, Resulting Numbers: [90, 4] Generated Node #3: [90, 4] from Operation: 12/3=4 Current State: 86:[90, 4], Operations: ['80-77=3', '12/3=4'] Exploring Operation: 90-4=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 69, 7, 8, 41 ]
37
[ "8*41=328", "328-69=259", "259/7=37" ]
Current State: 37:[69, 7, 8, 41], Operations: [] Exploring Operation: 8*41=328, Resulting Numbers: [69, 7, 328] Generated Node #2: [69, 7, 328] from Operation: 8*41=328 Current State: 37:[69, 7, 328], Operations: ['8*41=328'] Exploring Operation: 328-69=259, Resulting Numbers: [7, 259] Generated Node #3: [7, 259] from Operation: 328-69=259 Current State: 37:[7, 259], Operations: ['8*41=328', '328-69=259'] Exploring Operation: 259/7=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 32, 92, 48, 64 ]
94
[ "32*92=2944", "2944/64=46", "48+46=94" ]
Current State: 94:[32, 92, 48, 64], Operations: [] Exploring Operation: 32*92=2944, Resulting Numbers: [48, 64, 2944] Generated Node #2: [48, 64, 2944] from Operation: 32*92=2944 Current State: 94:[48, 64, 2944], Operations: ['32*92=2944'] Exploring Operation: 2944/64=46, Resulting Numbers: [48, 46] Generated Node #3: [48, 46] from Operation: 2944/64=46 Current State: 94:[48, 46], Operations: ['32*92=2944', '2944/64=46'] Exploring Operation: 48+46=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 57, 58, 15, 55 ]
40
[ "58-57=1", "55-15=40", "1*40=40" ]
Current State: 40:[57, 58, 15, 55], Operations: [] Exploring Operation: 58-57=1, Resulting Numbers: [15, 55, 1] Generated Node #2: [15, 55, 1] from Operation: 58-57=1 Current State: 40:[15, 55, 1], Operations: ['58-57=1'] Exploring Operation: 55-15=40, Resulting Numbers: [1, 40] Generated Node #3: [1, 40] from Operation: 55-15=40 Current State: 40:[1, 40], Operations: ['58-57=1', '55-15=40'] Exploring Operation: 1*40=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 66, 99, 83, 92 ]
24
[ "99-66=33", "92-83=9", "33-9=24" ]
Current State: 24:[66, 99, 83, 92], Operations: [] Exploring Operation: 99-66=33, Resulting Numbers: [83, 92, 33] Generated Node #2: [83, 92, 33] from Operation: 99-66=33 Current State: 24:[83, 92, 33], Operations: ['99-66=33'] Exploring Operation: 92-83=9, Resulting Numbers: [33, 9] Generated Node #3: [33, 9] from Operation: 92-83=9 Current State: 24:[33, 9], Operations: ['99-66=33', '92-83=9'] Exploring Operation: 33-9=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 60, 58, 2, 20 ]
12
[ "60-58=2", "20/2=10", "2+10=12" ]
Current State: 12:[60, 58, 2, 20], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [2, 20, 2] Generated Node #2: [2, 20, 2] from Operation: 60-58=2 Current State: 12:[2, 20, 2], Operations: ['60-58=2'] Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,12 equal: Goal Reached Exploring Operation: 2+10=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 55, 3, 9, 80 ]
22
[ "80-55=25", "9/3=3", "25-3=22" ]
Current State: 22:[55, 3, 9, 80], Operations: [] Exploring Operation: 80-55=25, Resulting Numbers: [3, 9, 25] Generated Node #2: [3, 9, 25] from Operation: 80-55=25 Current State: 22:[3, 9, 25], Operations: ['80-55=25'] Exploring Operation: 9/3=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 9/3=3 Current State: 22:[25, 3], Operations: ['80-55=25', '9/3=3'] Exploring Operation: 25-3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 9, 44, 18, 9 ]
44
[ "9+44=53", "18-9=9", "53-9=44" ]
Current State: 44:[9, 44, 18, 9], Operations: [] Exploring Operation: 9+44=53, Resulting Numbers: [18, 53] Generated Node #2: [18, 53] from Operation: 9+44=53 Current State: 44:[18, 53], Operations: ['9+44=53'] Exploring Operation: 18-9=9, Resulting Numbers: [53, 9] Generated Node #3: [53, 9] from Operation: 18-9=9 Current State: 44:[53, 9], Operations: ['9+44=53', '18-9=9'] Exploring Operation: 53-9=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 29, 33, 31, 74 ]
39
[ "33-29=4", "74-31=43", "43-4=39" ]
Current State: 39:[29, 33, 31, 74], Operations: [] Exploring Operation: 33-29=4, Resulting Numbers: [31, 74, 4] Generated Node #2: [31, 74, 4] from Operation: 33-29=4 Current State: 39:[31, 74, 4], Operations: ['33-29=4'] Exploring Operation: 74-31=43, Resulting Numbers: [4, 43] Generated Node #3: [4, 43] from Operation: 74-31=43 Current State: 39:[4, 43], Operations: ['33-29=4', '74-31=43'] Exploring Operation: 43-4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 93, 69, 16, 15 ]
55
[ "93-69=24", "16+15=31", "24+31=55" ]
Current State: 55:[93, 69, 16, 15], Operations: [] Exploring Operation: 93-69=24, Resulting Numbers: [16, 15, 24] Generated Node #2: [16, 15, 24] from Operation: 93-69=24 Current State: 55:[16, 15, 24], Operations: ['93-69=24'] Exploring Operation: 16+15=31, Resulting Numbers: [24, 31] Generated Node #3: [24, 31] from Operation: 16+15=31 Current State: 55:[24, 31], Operations: ['93-69=24', '16+15=31'] Exploring Operation: 24+31=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 68, 90, 53, 68 ]
74
[ "68-53=15", "90/15=6", "68+6=74" ]
Current State: 74:[68, 90, 53, 68], Operations: [] Exploring Operation: 68-53=15, Resulting Numbers: [90, 15] Generated Node #2: [90, 15] from Operation: 68-53=15 Current State: 74:[90, 15], Operations: ['68-53=15'] Exploring Operation: 90/15=6, Resulting Numbers: [6] 6,74 equal: Goal Reached Exploring Operation: 68+6=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 25, 60, 2, 53 ]
30
[ "25+60=85", "2+53=55", "85-55=30" ]
Current State: 30:[25, 60, 2, 53], Operations: [] Exploring Operation: 25+60=85, Resulting Numbers: [2, 53, 85] Generated Node #2: [2, 53, 85] from Operation: 25+60=85 Current State: 30:[2, 53, 85], Operations: ['25+60=85'] Exploring Operation: 2+53=55, Resulting Numbers: [85, 55] Generated Node #3: [85, 55] from Operation: 2+53=55 Current State: 30:[85, 55], Operations: ['25+60=85', '2+53=55'] Exploring Operation: 85-55=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 38, 90, 45, 93 ]
74
[ "38*45=1710", "1710/90=19", "93-19=74" ]
Current State: 74:[38, 90, 45, 93], Operations: [] Exploring Operation: 38*45=1710, Resulting Numbers: [90, 93, 1710] Generated Node #2: [90, 93, 1710] from Operation: 38*45=1710 Current State: 74:[90, 93, 1710], Operations: ['38*45=1710'] Exploring Operation: 1710/90=19, Resulting Numbers: [93, 19] Generated Node #3: [93, 19] from Operation: 1710/90=19 Current State: 74:[93, 19], Operations: ['38*45=1710', '1710/90=19'] Exploring Operation: 93-19=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 8, 88, 53, 22 ]
64
[ "88/8=11", "53+22=75", "75-11=64" ]
Current State: 64:[8, 88, 53, 22], Operations: [] Exploring Operation: 88/8=11, Resulting Numbers: [53, 22, 11] Generated Node #2: [53, 22, 11] from Operation: 88/8=11 Current State: 64:[53, 22, 11], Operations: ['88/8=11'] Exploring Operation: 53+22=75, Resulting Numbers: [11, 75] Generated Node #3: [11, 75] from Operation: 53+22=75 Current State: 64:[11, 75], Operations: ['88/8=11', '53+22=75'] Exploring Operation: 75-11=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 2, 22, 40, 58 ]
27
[ "22+40=62", "62/2=31", "58-31=27" ]
Current State: 27:[2, 22, 40, 58], Operations: [] Exploring Operation: 22+40=62, Resulting Numbers: [2, 58, 62] Generated Node #2: [2, 58, 62] from Operation: 22+40=62 Current State: 27:[2, 58, 62], Operations: ['22+40=62'] Exploring Operation: 62/2=31, Resulting Numbers: [58, 31] Generated Node #3: [58, 31] from Operation: 62/2=31 Current State: 27:[58, 31], Operations: ['22+40=62', '62/2=31'] Exploring Operation: 58-31=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 38, 47, 4, 44 ]
45
[ "38+47=85", "44-4=40", "85-40=45" ]
Current State: 45:[38, 47, 4, 44], Operations: [] Exploring Operation: 38+47=85, Resulting Numbers: [4, 44, 85] Generated Node #2: [4, 44, 85] from Operation: 38+47=85 Current State: 45:[4, 44, 85], Operations: ['38+47=85'] Exploring Operation: 44-4=40, Resulting Numbers: [85, 40] Generated Node #3: [85, 40] from Operation: 44-4=40 Current State: 45:[85, 40], Operations: ['38+47=85', '44-4=40'] Exploring Operation: 85-40=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 87, 44, 21, 8 ]
30
[ "87-44=43", "21-8=13", "43-13=30" ]
Current State: 30:[87, 44, 21, 8], Operations: [] Exploring Operation: 87-44=43, Resulting Numbers: [21, 8, 43] Generated Node #2: [21, 8, 43] from Operation: 87-44=43 Current State: 30:[21, 8, 43], Operations: ['87-44=43'] Exploring Operation: 21-8=13, Resulting Numbers: [43, 13] Generated Node #3: [43, 13] from Operation: 21-8=13 Current State: 30:[43, 13], Operations: ['87-44=43', '21-8=13'] Exploring Operation: 43-13=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 3, 72, 99, 80 ]
25
[ "99/3=33", "80-72=8", "33-8=25" ]
Current State: 25:[3, 72, 99, 80], Operations: [] Exploring Operation: 99/3=33, Resulting Numbers: [72, 80, 33] Generated Node #2: [72, 80, 33] from Operation: 99/3=33 Current State: 25:[72, 80, 33], Operations: ['99/3=33'] Exploring Operation: 80-72=8, Resulting Numbers: [33, 8] Generated Node #3: [33, 8] from Operation: 80-72=8 Current State: 25:[33, 8], Operations: ['99/3=33', '80-72=8'] Exploring Operation: 33-8=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 76, 62, 16, 37 ]
85
[ "76+62=138", "16+37=53", "138-53=85" ]
Current State: 85:[76, 62, 16, 37], Operations: [] Exploring Operation: 76+62=138, Resulting Numbers: [16, 37, 138] Generated Node #2: [16, 37, 138] from Operation: 76+62=138 Current State: 85:[16, 37, 138], Operations: ['76+62=138'] Exploring Operation: 16+37=53, Resulting Numbers: [138, 53] Generated Node #3: [138, 53] from Operation: 16+37=53 Current State: 85:[138, 53], Operations: ['76+62=138', '16+37=53'] Exploring Operation: 138-53=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 97, 5, 22, 15 ]
95
[ "97+5=102", "22-15=7", "102-7=95" ]
Current State: 95:[97, 5, 22, 15], Operations: [] Exploring Operation: 97+5=102, Resulting Numbers: [22, 15, 102] Generated Node #2: [22, 15, 102] from Operation: 97+5=102 Current State: 95:[22, 15, 102], Operations: ['97+5=102'] Exploring Operation: 22-15=7, Resulting Numbers: [102, 7] Generated Node #3: [102, 7] from Operation: 22-15=7 Current State: 95:[102, 7], Operations: ['97+5=102', '22-15=7'] Exploring Operation: 102-7=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 64, 55, 39, 57 ]
71
[ "57-55=2", "64/2=32", "39+32=71" ]
Current State: 71:[64, 55, 39, 57], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [64, 39, 2] Generated Node #2: [64, 39, 2] from Operation: 57-55=2 Current State: 71:[64, 39, 2], Operations: ['57-55=2'] Exploring Operation: 64/2=32, Resulting Numbers: [39, 32] Generated Node #3: [39, 32] from Operation: 64/2=32 Current State: 71:[39, 32], Operations: ['57-55=2', '64/2=32'] Exploring Operation: 39+32=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 50, 80, 45, 12 ]
87
[ "80-50=30", "45+12=57", "30+57=87" ]
Current State: 87:[50, 80, 45, 12], Operations: [] Exploring Operation: 80-50=30, Resulting Numbers: [45, 12, 30] Generated Node #2: [45, 12, 30] from Operation: 80-50=30 Current State: 87:[45, 12, 30], Operations: ['80-50=30'] Exploring Operation: 45+12=57, Resulting Numbers: [30, 57] Generated Node #3: [30, 57] from Operation: 45+12=57 Current State: 87:[30, 57], Operations: ['80-50=30', '45+12=57'] Exploring Operation: 30+57=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 55, 89, 68, 35 ]
69
[ "89-55=34", "68+35=103", "103-34=69" ]
Current State: 69:[55, 89, 68, 35], Operations: [] Exploring Operation: 89-55=34, Resulting Numbers: [68, 35, 34] Generated Node #2: [68, 35, 34] from Operation: 89-55=34 Current State: 69:[68, 35, 34], Operations: ['89-55=34'] Exploring Operation: 68+35=103, Resulting Numbers: [34, 103] Generated Node #3: [34, 103] from Operation: 68+35=103 Current State: 69:[34, 103], Operations: ['89-55=34', '68+35=103'] Exploring Operation: 103-34=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 46, 46, 10, 39 ]
43
[ "46+46=92", "10+39=49", "92-49=43" ]
Current State: 43:[46, 46, 10, 39], Operations: [] Exploring Operation: 46+46=92, Resulting Numbers: [10, 39, 92] Generated Node #2: [10, 39, 92] from Operation: 46+46=92 Current State: 43:[10, 39, 92], Operations: ['46+46=92'] Exploring Operation: 10+39=49, Resulting Numbers: [92, 49] Generated Node #3: [92, 49] from Operation: 10+39=49 Current State: 43:[92, 49], Operations: ['46+46=92', '10+39=49'] Exploring Operation: 92-49=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 48, 5, 29, 48 ]
96
[ "48*48=2304", "29-5=24", "2304/24=96" ]
Current State: 96:[48, 5, 29, 48], Operations: [] Exploring Operation: 48*48=2304, Resulting Numbers: [5, 29, 2304] Generated Node #2: [5, 29, 2304] from Operation: 48*48=2304 Current State: 96:[5, 29, 2304], Operations: ['48*48=2304'] Exploring Operation: 29-5=24, Resulting Numbers: [2304, 24] Generated Node #3: [2304, 24] from Operation: 29-5=24 Current State: 96:[2304, 24], Operations: ['48*48=2304', '29-5=24'] Exploring Operation: 2304/24=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 97, 69, 82, 18 ]
66
[ "97+69=166", "82+18=100", "166-100=66" ]
Current State: 66:[97, 69, 82, 18], Operations: [] Exploring Operation: 97+69=166, Resulting Numbers: [82, 18, 166] Generated Node #2: [82, 18, 166] from Operation: 97+69=166 Current State: 66:[82, 18, 166], Operations: ['97+69=166'] Exploring Operation: 82+18=100, Resulting Numbers: [166, 100] Generated Node #3: [166, 100] from Operation: 82+18=100 Current State: 66:[166, 100], Operations: ['97+69=166', '82+18=100'] Exploring Operation: 166-100=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 26, 41, 66, 71 ]
10
[ "41-26=15", "71-66=5", "15-5=10" ]
Current State: 10:[26, 41, 66, 71], Operations: [] Exploring Operation: 41-26=15, Resulting Numbers: [66, 71, 15] Generated Node #2: [66, 71, 15] from Operation: 41-26=15 Current State: 10:[66, 71, 15], Operations: ['41-26=15'] Exploring Operation: 71-66=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 71-66=5 Current State: 10:[15, 5], Operations: ['41-26=15', '71-66=5'] Exploring Operation: 15-5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 94, 5, 8, 33 ]
74
[ "94+5=99", "33-8=25", "99-25=74" ]
Current State: 74:[94, 5, 8, 33], Operations: [] Exploring Operation: 94+5=99, Resulting Numbers: [8, 33, 99] Generated Node #2: [8, 33, 99] from Operation: 94+5=99 Current State: 74:[8, 33, 99], Operations: ['94+5=99'] Exploring Operation: 33-8=25, Resulting Numbers: [99, 25] Generated Node #3: [99, 25] from Operation: 33-8=25 Current State: 74:[99, 25], Operations: ['94+5=99', '33-8=25'] Exploring Operation: 99-25=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 67, 19, 70, 82 ]
36
[ "67-19=48", "82-70=12", "48-12=36" ]
Current State: 36:[67, 19, 70, 82], Operations: [] Exploring Operation: 67-19=48, Resulting Numbers: [70, 82, 48] Generated Node #2: [70, 82, 48] from Operation: 67-19=48 Current State: 36:[70, 82, 48], Operations: ['67-19=48'] Exploring Operation: 82-70=12, Resulting Numbers: [48, 12] Generated Node #3: [48, 12] from Operation: 82-70=12 Current State: 36:[48, 12], Operations: ['67-19=48', '82-70=12'] Exploring Operation: 48-12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 88, 85, 37, 71 ]
31
[ "88-85=3", "71-37=34", "34-3=31" ]
Current State: 31:[88, 85, 37, 71], Operations: [] Exploring Operation: 88-85=3, Resulting Numbers: [37, 71, 3] Generated Node #2: [37, 71, 3] from Operation: 88-85=3 Current State: 31:[37, 71, 3], Operations: ['88-85=3'] Exploring Operation: 71-37=34, Resulting Numbers: [3, 34] Generated Node #3: [3, 34] from Operation: 71-37=34 Current State: 31:[3, 34], Operations: ['88-85=3', '71-37=34'] Exploring Operation: 34-3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 26, 18, 96, 34 ]
22
[ "26-18=8", "96/8=12", "34-12=22" ]
Current State: 22:[26, 18, 96, 34], Operations: [] Exploring Operation: 26-18=8, Resulting Numbers: [96, 34, 8] Generated Node #2: [96, 34, 8] from Operation: 26-18=8 Current State: 22:[96, 34, 8], Operations: ['26-18=8'] Exploring Operation: 96/8=12, Resulting Numbers: [34, 12] Generated Node #3: [34, 12] from Operation: 96/8=12 Current State: 22:[34, 12], Operations: ['26-18=8', '96/8=12'] Exploring Operation: 34-12=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 31, 29, 61, 79 ]
80
[ "31+29=60", "61+79=140", "140-60=80" ]
Current State: 80:[31, 29, 61, 79], Operations: [] Exploring Operation: 31+29=60, Resulting Numbers: [61, 79, 60] Generated Node #2: [61, 79, 60] from Operation: 31+29=60 Current State: 80:[61, 79, 60], Operations: ['31+29=60'] Exploring Operation: 61+79=140, Resulting Numbers: [60, 140] Generated Node #3: [60, 140] from Operation: 61+79=140 Current State: 80:[60, 140], Operations: ['31+29=60', '61+79=140'] Exploring Operation: 140-60=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 66, 3, 76, 54 ]
80
[ "66-54=12", "12/3=4", "76+4=80" ]
Current State: 80:[66, 3, 76, 54], Operations: [] Exploring Operation: 66-54=12, Resulting Numbers: [3, 76, 12] Generated Node #2: [3, 76, 12] from Operation: 66-54=12 Current State: 80:[3, 76, 12], Operations: ['66-54=12'] Exploring Operation: 12/3=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 12/3=4 Current State: 80:[76, 4], Operations: ['66-54=12', '12/3=4'] Exploring Operation: 76+4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 18, 6, 8, 78 ]
94
[ "18+6=24", "78-8=70", "24+70=94" ]
Current State: 94:[18, 6, 8, 78], Operations: [] Exploring Operation: 18+6=24, Resulting Numbers: [8, 78, 24] Generated Node #2: [8, 78, 24] from Operation: 18+6=24 Current State: 94:[8, 78, 24], Operations: ['18+6=24'] Exploring Operation: 78-8=70, Resulting Numbers: [24, 70] Generated Node #3: [24, 70] from Operation: 78-8=70 Current State: 94:[24, 70], Operations: ['18+6=24', '78-8=70'] Exploring Operation: 24+70=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 4, 28, 97, 6 ]
45
[ "4*6=24", "97-28=69", "69-24=45" ]
Current State: 45:[4, 28, 97, 6], Operations: [] Exploring Operation: 4*6=24, Resulting Numbers: [28, 97, 24] Generated Node #2: [28, 97, 24] from Operation: 4*6=24 Current State: 45:[28, 97, 24], Operations: ['4*6=24'] Exploring Operation: 97-28=69, Resulting Numbers: [24, 69] Generated Node #3: [24, 69] from Operation: 97-28=69 Current State: 45:[24, 69], Operations: ['4*6=24', '97-28=69'] Exploring Operation: 69-24=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 76, 20, 39, 2 ]
20
[ "76/2=38", "39-38=1", "20*1=20" ]
Current State: 20:[76, 20, 39, 2], Operations: [] Exploring Operation: 76/2=38, Resulting Numbers: [20, 39, 38] Generated Node #2: [20, 39, 38] from Operation: 76/2=38 Current State: 20:[20, 39, 38], Operations: ['76/2=38'] Exploring Operation: 39-38=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 39-38=1 Current State: 20:[20, 1], Operations: ['76/2=38', '39-38=1'] Exploring Operation: 20*1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 70, 5, 4, 53 ]
17
[ "70-53=17", "5-4=1", "17*1=17" ]
Current State: 17:[70, 5, 4, 53], Operations: [] Exploring Operation: 70-53=17, Resulting Numbers: [5, 4, 17] Generated Node #2: [5, 4, 17] from Operation: 70-53=17 Current State: 17:[5, 4, 17], Operations: ['70-53=17'] Exploring Operation: 5-4=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 5-4=1 Current State: 17:[17, 1], Operations: ['70-53=17', '5-4=1'] Exploring Operation: 17*1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 31, 56, 28, 2 ]
50
[ "31-28=3", "2*3=6", "56-6=50" ]
Current State: 50:[31, 56, 28, 2], Operations: [] Exploring Operation: 31-28=3, Resulting Numbers: [56, 2, 3] Generated Node #2: [56, 2, 3] from Operation: 31-28=3 Current State: 50:[56, 2, 3], Operations: ['31-28=3'] Exploring Operation: 2*3=6, Resulting Numbers: [56, 6] Generated Node #3: [56, 6] from Operation: 2*3=6 Current State: 50:[56, 6], Operations: ['31-28=3', '2*3=6'] Exploring Operation: 56-6=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 74, 2, 31, 51 ]
59
[ "74-31=43", "2*51=102", "102-43=59" ]
Current State: 59:[74, 2, 31, 51], Operations: [] Exploring Operation: 74-31=43, Resulting Numbers: [2, 51, 43] Generated Node #2: [2, 51, 43] from Operation: 74-31=43 Current State: 59:[2, 51, 43], Operations: ['74-31=43'] Exploring Operation: 2*51=102, Resulting Numbers: [43, 102] Generated Node #3: [43, 102] from Operation: 2*51=102 Current State: 59:[43, 102], Operations: ['74-31=43', '2*51=102'] Exploring Operation: 102-43=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 23, 13, 95, 39 ]
69
[ "95-23=72", "39/13=3", "72-3=69" ]
Current State: 69:[23, 13, 95, 39], Operations: [] Exploring Operation: 95-23=72, Resulting Numbers: [13, 39, 72] Generated Node #2: [13, 39, 72] from Operation: 95-23=72 Current State: 69:[13, 39, 72], Operations: ['95-23=72'] Exploring Operation: 39/13=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 39/13=3 Current State: 69:[72, 3], Operations: ['95-23=72', '39/13=3'] Exploring Operation: 72-3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 17, 81, 17, 35 ]
81
[ "17+17=34", "35-34=1", "81*1=81" ]
Current State: 81:[17, 81, 17, 35], Operations: [] Exploring Operation: 17+17=34, Resulting Numbers: [81, 35, 34] Generated Node #2: [81, 35, 34] from Operation: 17+17=34 Current State: 81:[81, 35, 34], Operations: ['17+17=34'] Exploring Operation: 35-34=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 35-34=1 Current State: 81:[81, 1], Operations: ['17+17=34', '35-34=1'] Exploring Operation: 81*1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 70, 12, 24, 52 ]
61
[ "70+52=122", "24/12=2", "122/2=61" ]
Current State: 61:[70, 12, 24, 52], Operations: [] Exploring Operation: 70+52=122, Resulting Numbers: [12, 24, 122] Generated Node #2: [12, 24, 122] from Operation: 70+52=122 Current State: 61:[12, 24, 122], Operations: ['70+52=122'] Exploring Operation: 24/12=2, Resulting Numbers: [122, 2] Generated Node #3: [122, 2] from Operation: 24/12=2 Current State: 61:[122, 2], Operations: ['70+52=122', '24/12=2'] Exploring Operation: 122/2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 23, 68, 44, 6 ]
58
[ "44-23=21", "6*21=126", "126-68=58" ]
Current State: 58:[23, 68, 44, 6], Operations: [] Exploring Operation: 44-23=21, Resulting Numbers: [68, 6, 21] Generated Node #2: [68, 6, 21] from Operation: 44-23=21 Current State: 58:[68, 6, 21], Operations: ['44-23=21'] Exploring Operation: 6*21=126, Resulting Numbers: [68, 126] Generated Node #3: [68, 126] from Operation: 6*21=126 Current State: 58:[68, 126], Operations: ['44-23=21', '6*21=126'] Exploring Operation: 126-68=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 9, 25, 13, 31 ]
67
[ "31-25=6", "9*6=54", "13+54=67" ]
Current State: 67:[9, 25, 13, 31], Operations: [] Exploring Operation: 31-25=6, Resulting Numbers: [9, 13, 6] Generated Node #2: [9, 13, 6] from Operation: 31-25=6 Current State: 67:[9, 13, 6], Operations: ['31-25=6'] Exploring Operation: 9*6=54, Resulting Numbers: [13, 54] Generated Node #3: [13, 54] from Operation: 9*6=54 Current State: 67:[13, 54], Operations: ['31-25=6', '9*6=54'] Exploring Operation: 13+54=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 23, 50, 82, 79 ]
76
[ "23+50=73", "82-79=3", "73+3=76" ]
Current State: 76:[23, 50, 82, 79], Operations: [] Exploring Operation: 23+50=73, Resulting Numbers: [82, 79, 73] Generated Node #2: [82, 79, 73] from Operation: 23+50=73 Current State: 76:[82, 79, 73], Operations: ['23+50=73'] Exploring Operation: 82-79=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 82-79=3 Current State: 76:[73, 3], Operations: ['23+50=73', '82-79=3'] Exploring Operation: 73+3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 7, 2, 19, 59 ]
69
[ "7+2=9", "19+59=78", "78-9=69" ]
Current State: 69:[7, 2, 19, 59], Operations: [] Exploring Operation: 7+2=9, Resulting Numbers: [19, 59, 9] Generated Node #2: [19, 59, 9] from Operation: 7+2=9 Current State: 69:[19, 59, 9], Operations: ['7+2=9'] Exploring Operation: 19+59=78, Resulting Numbers: [9, 78] Generated Node #3: [9, 78] from Operation: 19+59=78 Current State: 69:[9, 78], Operations: ['7+2=9', '19+59=78'] Exploring Operation: 78-9=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 44, 57, 6, 5 ]
71
[ "44+57=101", "6*5=30", "101-30=71" ]
Current State: 71:[44, 57, 6, 5], Operations: [] Exploring Operation: 44+57=101, Resulting Numbers: [6, 5, 101] Generated Node #2: [6, 5, 101] from Operation: 44+57=101 Current State: 71:[6, 5, 101], Operations: ['44+57=101'] Exploring Operation: 6*5=30, Resulting Numbers: [101, 30] Generated Node #3: [101, 30] from Operation: 6*5=30 Current State: 71:[101, 30], Operations: ['44+57=101', '6*5=30'] Exploring Operation: 101-30=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 4, 68, 55, 68 ]
21
[ "68+68=136", "136/4=34", "55-34=21" ]
Current State: 21:[4, 68, 55, 68], Operations: [] Exploring Operation: 68+68=136, Resulting Numbers: [4, 55, 136] Generated Node #2: [4, 55, 136] from Operation: 68+68=136 Current State: 21:[4, 55, 136], Operations: ['68+68=136'] Exploring Operation: 136/4=34, Resulting Numbers: [55, 34] Generated Node #3: [55, 34] from Operation: 136/4=34 Current State: 21:[55, 34], Operations: ['68+68=136', '136/4=34'] Exploring Operation: 55-34=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 99, 58, 14, 33 ]
22
[ "99-58=41", "33-14=19", "41-19=22" ]
Current State: 22:[99, 58, 14, 33], Operations: [] Exploring Operation: 99-58=41, Resulting Numbers: [14, 33, 41] Generated Node #2: [14, 33, 41] from Operation: 99-58=41 Current State: 22:[14, 33, 41], Operations: ['99-58=41'] Exploring Operation: 33-14=19, Resulting Numbers: [41, 19] Generated Node #3: [41, 19] from Operation: 33-14=19 Current State: 22:[41, 19], Operations: ['99-58=41', '33-14=19'] Exploring Operation: 41-19=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 97, 10, 93, 83 ]
75
[ "97+83=180", "180/10=18", "93-18=75" ]
Current State: 75:[97, 10, 93, 83], Operations: [] Exploring Operation: 97+83=180, Resulting Numbers: [10, 93, 180] Generated Node #2: [10, 93, 180] from Operation: 97+83=180 Current State: 75:[10, 93, 180], Operations: ['97+83=180'] Exploring Operation: 180/10=18, Resulting Numbers: [93, 18] Generated Node #3: [93, 18] from Operation: 180/10=18 Current State: 75:[93, 18], Operations: ['97+83=180', '180/10=18'] Exploring Operation: 93-18=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 1, 53, 76, 71 ]
49
[ "1+53=54", "76-71=5", "54-5=49" ]
Current State: 49:[1, 53, 76, 71], Operations: [] Exploring Operation: 1+53=54, Resulting Numbers: [76, 71, 54] Generated Node #2: [76, 71, 54] from Operation: 1+53=54 Current State: 49:[76, 71, 54], Operations: ['1+53=54'] Exploring Operation: 76-71=5, Resulting Numbers: [54, 5] Generated Node #3: [54, 5] from Operation: 76-71=5 Current State: 49:[54, 5], Operations: ['1+53=54', '76-71=5'] Exploring Operation: 54-5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 37, 57, 1, 81 ]
54
[ "37+1=38", "81*38=3078", "3078/57=54" ]
Current State: 54:[37, 57, 1, 81], Operations: [] Exploring Operation: 37+1=38, Resulting Numbers: [57, 81, 38] Generated Node #2: [57, 81, 38] from Operation: 37+1=38 Current State: 54:[57, 81, 38], Operations: ['37+1=38'] Exploring Operation: 81*38=3078, Resulting Numbers: [57, 3078] Generated Node #3: [57, 3078] from Operation: 81*38=3078 Current State: 54:[57, 3078], Operations: ['37+1=38', '81*38=3078'] Exploring Operation: 3078/57=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 71, 95, 7, 99 ]
82
[ "95-71=24", "7+99=106", "106-24=82" ]
Current State: 82:[71, 95, 7, 99], Operations: [] Exploring Operation: 95-71=24, Resulting Numbers: [7, 99, 24] Generated Node #2: [7, 99, 24] from Operation: 95-71=24 Current State: 82:[7, 99, 24], Operations: ['95-71=24'] Exploring Operation: 7+99=106, Resulting Numbers: [24, 106] Generated Node #3: [24, 106] from Operation: 7+99=106 Current State: 82:[24, 106], Operations: ['95-71=24', '7+99=106'] Exploring Operation: 106-24=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 33, 85, 99, 34 ]
14
[ "34-33=1", "99-85=14", "1*14=14" ]
Current State: 14:[33, 85, 99, 34], Operations: [] Exploring Operation: 34-33=1, Resulting Numbers: [85, 99, 1] Generated Node #2: [85, 99, 1] from Operation: 34-33=1 Current State: 14:[85, 99, 1], Operations: ['34-33=1'] Exploring Operation: 99-85=14, Resulting Numbers: [1, 14] Generated Node #3: [1, 14] from Operation: 99-85=14 Current State: 14:[1, 14], Operations: ['34-33=1', '99-85=14'] Exploring Operation: 1*14=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 83, 92, 65, 35 ]
21
[ "92-83=9", "65-35=30", "30-9=21" ]
Current State: 21:[83, 92, 65, 35], Operations: [] Exploring Operation: 92-83=9, Resulting Numbers: [65, 35, 9] Generated Node #2: [65, 35, 9] from Operation: 92-83=9 Current State: 21:[65, 35, 9], Operations: ['92-83=9'] Exploring Operation: 65-35=30, Resulting Numbers: [9, 30] Generated Node #3: [9, 30] from Operation: 65-35=30 Current State: 21:[9, 30], Operations: ['92-83=9', '65-35=30'] Exploring Operation: 30-9=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 44, 61, 5, 26 ]
39
[ "61+5=66", "26*66=1716", "1716/44=39" ]
Current State: 39:[44, 61, 5, 26], Operations: [] Exploring Operation: 61+5=66, Resulting Numbers: [44, 26, 66] Generated Node #2: [44, 26, 66] from Operation: 61+5=66 Current State: 39:[44, 26, 66], Operations: ['61+5=66'] Exploring Operation: 26*66=1716, Resulting Numbers: [44, 1716] Generated Node #3: [44, 1716] from Operation: 26*66=1716 Current State: 39:[44, 1716], Operations: ['61+5=66', '26*66=1716'] Exploring Operation: 1716/44=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 48, 55, 66, 36 ]
95
[ "55-48=7", "66+36=102", "102-7=95" ]
Current State: 95:[48, 55, 66, 36], Operations: [] Exploring Operation: 55-48=7, Resulting Numbers: [66, 36, 7] Generated Node #2: [66, 36, 7] from Operation: 55-48=7 Current State: 95:[66, 36, 7], Operations: ['55-48=7'] Exploring Operation: 66+36=102, Resulting Numbers: [7, 102] Generated Node #3: [7, 102] from Operation: 66+36=102 Current State: 95:[7, 102], Operations: ['55-48=7', '66+36=102'] Exploring Operation: 102-7=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 63, 80, 29, 16 ]
97
[ "63+29=92", "80/16=5", "92+5=97" ]
Current State: 97:[63, 80, 29, 16], Operations: [] Exploring Operation: 63+29=92, Resulting Numbers: [80, 16, 92] Generated Node #2: [80, 16, 92] from Operation: 63+29=92 Current State: 97:[80, 16, 92], Operations: ['63+29=92'] Exploring Operation: 80/16=5, Resulting Numbers: [92, 5] Generated Node #3: [92, 5] from Operation: 80/16=5 Current State: 97:[92, 5], Operations: ['63+29=92', '80/16=5'] Exploring Operation: 92+5=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 2, 28, 59, 5 ]
83
[ "59-2=57", "28*5=140", "140-57=83" ]
Current State: 83:[2, 28, 59, 5], Operations: [] Exploring Operation: 59-2=57, Resulting Numbers: [28, 5, 57] Generated Node #2: [28, 5, 57] from Operation: 59-2=57 Current State: 83:[28, 5, 57], Operations: ['59-2=57'] Exploring Operation: 28*5=140, Resulting Numbers: [57, 140] Generated Node #3: [57, 140] from Operation: 28*5=140 Current State: 83:[57, 140], Operations: ['59-2=57', '28*5=140'] Exploring Operation: 140-57=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 80, 60, 56, 15 ]
34
[ "80+56=136", "60/15=4", "136/4=34" ]
Current State: 34:[80, 60, 56, 15], Operations: [] Exploring Operation: 80+56=136, Resulting Numbers: [60, 15, 136] Generated Node #2: [60, 15, 136] from Operation: 80+56=136 Current State: 34:[60, 15, 136], Operations: ['80+56=136'] Exploring Operation: 60/15=4, Resulting Numbers: [136, 4] Generated Node #3: [136, 4] from Operation: 60/15=4 Current State: 34:[136, 4], Operations: ['80+56=136', '60/15=4'] Exploring Operation: 136/4=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 18, 54, 72, 16 ]
10
[ "72/18=4", "16*4=64", "64-54=10" ]
Current State: 10:[18, 54, 72, 16], Operations: [] Exploring Operation: 72/18=4, Resulting Numbers: [54, 16, 4] Generated Node #2: [54, 16, 4] from Operation: 72/18=4 Current State: 10:[54, 16, 4], Operations: ['72/18=4'] Exploring Operation: 16*4=64, Resulting Numbers: [54, 64] Generated Node #3: [54, 64] from Operation: 16*4=64 Current State: 10:[54, 64], Operations: ['72/18=4', '16*4=64'] Exploring Operation: 64-54=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 27, 38, 90, 18 ]
70
[ "27+38=65", "90/18=5", "65+5=70" ]
Current State: 70:[27, 38, 90, 18], Operations: [] Exploring Operation: 27+38=65, Resulting Numbers: [90, 18, 65] Generated Node #2: [90, 18, 65] from Operation: 27+38=65 Current State: 70:[90, 18, 65], Operations: ['27+38=65'] Exploring Operation: 90/18=5, Resulting Numbers: [65, 5] Generated Node #3: [65, 5] from Operation: 90/18=5 Current State: 70:[65, 5], Operations: ['27+38=65', '90/18=5'] Exploring Operation: 65+5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 66, 91, 52, 63 ]
65
[ "66-63=3", "52*3=156", "156-91=65" ]
Current State: 65:[66, 91, 52, 63], Operations: [] Exploring Operation: 66-63=3, Resulting Numbers: [91, 52, 3] Generated Node #2: [91, 52, 3] from Operation: 66-63=3 Current State: 65:[91, 52, 3], Operations: ['66-63=3'] Exploring Operation: 52*3=156, Resulting Numbers: [91, 156] Generated Node #3: [91, 156] from Operation: 52*3=156 Current State: 65:[91, 156], Operations: ['66-63=3', '52*3=156'] Exploring Operation: 156-91=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 72, 43, 24, 16 ]
62
[ "72/24=3", "43+16=59", "3+59=62" ]
Current State: 62:[72, 43, 24, 16], Operations: [] Exploring Operation: 72/24=3, Resulting Numbers: [43, 16, 3] Generated Node #2: [43, 16, 3] from Operation: 72/24=3 Current State: 62:[43, 16, 3], Operations: ['72/24=3'] Exploring Operation: 43+16=59, Resulting Numbers: [3, 59] Generated Node #3: [3, 59] from Operation: 43+16=59 Current State: 62:[3, 59], Operations: ['72/24=3', '43+16=59'] Exploring Operation: 3+59=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 26, 98, 12, 75 ]
15
[ "98-26=72", "12+75=87", "87-72=15" ]
Current State: 15:[26, 98, 12, 75], Operations: [] Exploring Operation: 98-26=72, Resulting Numbers: [12, 75, 72] Generated Node #2: [12, 75, 72] from Operation: 98-26=72 Current State: 15:[12, 75, 72], Operations: ['98-26=72'] Exploring Operation: 12+75=87, Resulting Numbers: [72, 87] Generated Node #3: [72, 87] from Operation: 12+75=87 Current State: 15:[72, 87], Operations: ['98-26=72', '12+75=87'] Exploring Operation: 87-72=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 12, 1, 86, 83 ]
10
[ "12+1=13", "86-83=3", "13-3=10" ]
Current State: 10:[12, 1, 86, 83], Operations: [] Exploring Operation: 12+1=13, Resulting Numbers: [86, 83, 13] Generated Node #2: [86, 83, 13] from Operation: 12+1=13 Current State: 10:[86, 83, 13], Operations: ['12+1=13'] Exploring Operation: 86-83=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 86-83=3 Current State: 10:[13, 3], Operations: ['12+1=13', '86-83=3'] Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 43, 1, 39, 73 ]
70
[ "43-1=42", "39+73=112", "112-42=70" ]
Current State: 70:[43, 1, 39, 73], Operations: [] Exploring Operation: 43-1=42, Resulting Numbers: [39, 73, 42] Generated Node #2: [39, 73, 42] from Operation: 43-1=42 Current State: 70:[39, 73, 42], Operations: ['43-1=42'] Exploring Operation: 39+73=112, Resulting Numbers: [42, 112] Generated Node #3: [42, 112] from Operation: 39+73=112 Current State: 70:[42, 112], Operations: ['43-1=42', '39+73=112'] Exploring Operation: 112-42=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 92, 7, 48, 64 ]
76
[ "92*48=4416", "4416/64=69", "7+69=76" ]
Current State: 76:[92, 7, 48, 64], Operations: [] Exploring Operation: 92*48=4416, Resulting Numbers: [7, 64, 4416] Generated Node #2: [7, 64, 4416] from Operation: 92*48=4416 Current State: 76:[7, 64, 4416], Operations: ['92*48=4416'] Exploring Operation: 4416/64=69, Resulting Numbers: [7, 69] Generated Node #3: [7, 69] from Operation: 4416/64=69 Current State: 76:[7, 69], Operations: ['92*48=4416', '4416/64=69'] Exploring Operation: 7+69=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 54, 48, 30, 49 ]
44
[ "54-48=6", "30/6=5", "49-5=44" ]
Current State: 44:[54, 48, 30, 49], Operations: [] Exploring Operation: 54-48=6, Resulting Numbers: [30, 49, 6] Generated Node #2: [30, 49, 6] from Operation: 54-48=6 Current State: 44:[30, 49, 6], Operations: ['54-48=6'] Exploring Operation: 30/6=5, Resulting Numbers: [49, 5] Generated Node #3: [49, 5] from Operation: 30/6=5 Current State: 44:[49, 5], Operations: ['54-48=6', '30/6=5'] Exploring Operation: 49-5=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 55, 19, 43, 45 ]
52
[ "55-19=36", "43+45=88", "88-36=52" ]
Current State: 52:[55, 19, 43, 45], Operations: [] Exploring Operation: 55-19=36, Resulting Numbers: [43, 45, 36] Generated Node #2: [43, 45, 36] from Operation: 55-19=36 Current State: 52:[43, 45, 36], Operations: ['55-19=36'] Exploring Operation: 43+45=88, Resulting Numbers: [36, 88] Generated Node #3: [36, 88] from Operation: 43+45=88 Current State: 52:[36, 88], Operations: ['55-19=36', '43+45=88'] Exploring Operation: 88-36=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 54, 72, 7, 5 ]
79
[ "54-5=49", "49/7=7", "72+7=79" ]
Current State: 79:[54, 72, 7, 5], Operations: [] Exploring Operation: 54-5=49, Resulting Numbers: [72, 7, 49] Generated Node #2: [72, 7, 49] from Operation: 54-5=49 Current State: 79:[72, 7, 49], Operations: ['54-5=49'] Exploring Operation: 49/7=7, Resulting Numbers: [72, 7] Generated Node #3: [72, 7] from Operation: 49/7=7 Current State: 79:[72, 7], Operations: ['54-5=49', '49/7=7'] Exploring Operation: 72+7=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 86, 2, 10, 96 ]
63
[ "86/2=43", "10+96=106", "106-43=63" ]
Current State: 63:[86, 2, 10, 96], Operations: [] Exploring Operation: 86/2=43, Resulting Numbers: [10, 96, 43] Generated Node #2: [10, 96, 43] from Operation: 86/2=43 Current State: 63:[10, 96, 43], Operations: ['86/2=43'] Exploring Operation: 10+96=106, Resulting Numbers: [43, 106] Generated Node #3: [43, 106] from Operation: 10+96=106 Current State: 63:[43, 106], Operations: ['86/2=43', '10+96=106'] Exploring Operation: 106-43=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 87, 26, 90, 20 ]
34
[ "90-87=3", "20*3=60", "60-26=34" ]
Current State: 34:[87, 26, 90, 20], Operations: [] Exploring Operation: 90-87=3, Resulting Numbers: [26, 20, 3] Generated Node #2: [26, 20, 3] from Operation: 90-87=3 Current State: 34:[26, 20, 3], Operations: ['90-87=3'] Exploring Operation: 20*3=60, Resulting Numbers: [26, 60] Generated Node #3: [26, 60] from Operation: 20*3=60 Current State: 34:[26, 60], Operations: ['90-87=3', '20*3=60'] Exploring Operation: 60-26=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 57, 15, 48, 54 ]
21
[ "57-48=9", "54/9=6", "15+6=21" ]
Current State: 21:[57, 15, 48, 54], Operations: [] Exploring Operation: 57-48=9, Resulting Numbers: [15, 54, 9] Generated Node #2: [15, 54, 9] from Operation: 57-48=9 Current State: 21:[15, 54, 9], Operations: ['57-48=9'] Exploring Operation: 54/9=6, Resulting Numbers: [15, 6] Generated Node #3: [15, 6] from Operation: 54/9=6 Current State: 21:[15, 6], Operations: ['57-48=9', '54/9=6'] Exploring Operation: 15+6=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 62, 30, 83, 77 ]
81
[ "77-62=15", "30/15=2", "83-2=81" ]
Current State: 81:[62, 30, 83, 77], Operations: [] Exploring Operation: 77-62=15, Resulting Numbers: [30, 83, 15] Generated Node #2: [30, 83, 15] from Operation: 77-62=15 Current State: 81:[30, 83, 15], Operations: ['77-62=15'] Exploring Operation: 30/15=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 30/15=2 Current State: 81:[83, 2], Operations: ['77-62=15', '30/15=2'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 73, 82, 9, 86 ]
78
[ "73+82=155", "86-9=77", "155-77=78" ]
Current State: 78:[73, 82, 9, 86], Operations: [] Exploring Operation: 73+82=155, Resulting Numbers: [9, 86, 155] Generated Node #2: [9, 86, 155] from Operation: 73+82=155 Current State: 78:[9, 86, 155], Operations: ['73+82=155'] Exploring Operation: 86-9=77, Resulting Numbers: [155, 77] Generated Node #3: [155, 77] from Operation: 86-9=77 Current State: 78:[155, 77], Operations: ['73+82=155', '86-9=77'] Exploring Operation: 155-77=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 56, 91, 21, 78 ]
66
[ "56+21=77", "78*77=6006", "6006/91=66" ]
Current State: 66:[56, 91, 21, 78], Operations: [] Exploring Operation: 56+21=77, Resulting Numbers: [91, 78, 77] Generated Node #2: [91, 78, 77] from Operation: 56+21=77 Current State: 66:[91, 78, 77], Operations: ['56+21=77'] Exploring Operation: 78*77=6006, Resulting Numbers: [91, 6006] Generated Node #3: [91, 6006] from Operation: 78*77=6006 Current State: 66:[91, 6006], Operations: ['56+21=77', '78*77=6006'] Exploring Operation: 6006/91=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 74, 15, 16, 67 ]
97
[ "74-67=7", "16*7=112", "112-15=97" ]
Current State: 97:[74, 15, 16, 67], Operations: [] Exploring Operation: 74-67=7, Resulting Numbers: [15, 16, 7] Generated Node #2: [15, 16, 7] from Operation: 74-67=7 Current State: 97:[15, 16, 7], Operations: ['74-67=7'] Exploring Operation: 16*7=112, Resulting Numbers: [15, 112] Generated Node #3: [15, 112] from Operation: 16*7=112 Current State: 97:[15, 112], Operations: ['74-67=7', '16*7=112'] Exploring Operation: 112-15=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 27, 39, 51, 2 ]
45
[ "39-27=12", "12/2=6", "51-6=45" ]
Current State: 45:[27, 39, 51, 2], Operations: [] Exploring Operation: 39-27=12, Resulting Numbers: [51, 2, 12] Generated Node #2: [51, 2, 12] from Operation: 39-27=12 Current State: 45:[51, 2, 12], Operations: ['39-27=12'] Exploring Operation: 12/2=6, Resulting Numbers: [51, 6] Generated Node #3: [51, 6] from Operation: 12/2=6 Current State: 45:[51, 6], Operations: ['39-27=12', '12/2=6'] Exploring Operation: 51-6=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 38, 14, 96, 35 ]
39
[ "38-14=24", "96/24=4", "35+4=39" ]
Current State: 39:[38, 14, 96, 35], Operations: [] Exploring Operation: 38-14=24, Resulting Numbers: [96, 35, 24] Generated Node #2: [96, 35, 24] from Operation: 38-14=24 Current State: 39:[96, 35, 24], Operations: ['38-14=24'] Exploring Operation: 96/24=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 96/24=4 Current State: 39:[35, 4], Operations: ['38-14=24', '96/24=4'] Exploring Operation: 35+4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 94, 88, 86, 84 ]
47
[ "94*86=8084", "88+84=172", "8084/172=47" ]
Current State: 47:[94, 88, 86, 84], Operations: [] Exploring Operation: 94*86=8084, Resulting Numbers: [88, 84, 8084] Generated Node #2: [88, 84, 8084] from Operation: 94*86=8084 Current State: 47:[88, 84, 8084], Operations: ['94*86=8084'] Exploring Operation: 88+84=172, Resulting Numbers: [8084, 172] Generated Node #3: [8084, 172] from Operation: 88+84=172 Current State: 47:[8084, 172], Operations: ['94*86=8084', '88+84=172'] Exploring Operation: 8084/172=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 54, 47, 74, 52 ]
29
[ "54-47=7", "74-52=22", "7+22=29" ]
Current State: 29:[54, 47, 74, 52], Operations: [] Exploring Operation: 54-47=7, Resulting Numbers: [74, 52, 7] Generated Node #2: [74, 52, 7] from Operation: 54-47=7 Current State: 29:[74, 52, 7], Operations: ['54-47=7'] Exploring Operation: 74-52=22, Resulting Numbers: [7, 22] Generated Node #3: [7, 22] from Operation: 74-52=22 Current State: 29:[7, 22], Operations: ['54-47=7', '74-52=22'] Exploring Operation: 7+22=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 48, 15, 99, 22 ]
44
[ "48-15=33", "99-22=77", "77-33=44" ]
Current State: 44:[48, 15, 99, 22], Operations: [] Exploring Operation: 48-15=33, Resulting Numbers: [99, 22, 33] Generated Node #2: [99, 22, 33] from Operation: 48-15=33 Current State: 44:[99, 22, 33], Operations: ['48-15=33'] Exploring Operation: 99-22=77, Resulting Numbers: [33, 77] Generated Node #3: [33, 77] from Operation: 99-22=77 Current State: 44:[33, 77], Operations: ['48-15=33', '99-22=77'] Exploring Operation: 77-33=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 11, 31, 16, 88 ]
67
[ "16-11=5", "31*5=155", "155-88=67" ]
Current State: 67:[11, 31, 16, 88], Operations: [] Exploring Operation: 16-11=5, Resulting Numbers: [31, 88, 5] Generated Node #2: [31, 88, 5] from Operation: 16-11=5 Current State: 67:[31, 88, 5], Operations: ['16-11=5'] Exploring Operation: 31*5=155, Resulting Numbers: [88, 155] Generated Node #3: [88, 155] from Operation: 31*5=155 Current State: 67:[88, 155], Operations: ['16-11=5', '31*5=155'] Exploring Operation: 155-88=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 63, 34, 13, 98 ]
82
[ "63-34=29", "13+98=111", "111-29=82" ]
Current State: 82:[63, 34, 13, 98], Operations: [] Exploring Operation: 63-34=29, Resulting Numbers: [13, 98, 29] Generated Node #2: [13, 98, 29] from Operation: 63-34=29 Current State: 82:[13, 98, 29], Operations: ['63-34=29'] Exploring Operation: 13+98=111, Resulting Numbers: [29, 111] Generated Node #3: [29, 111] from Operation: 13+98=111 Current State: 82:[29, 111], Operations: ['63-34=29', '13+98=111'] Exploring Operation: 111-29=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 30, 28, 41, 53 ]
36
[ "30+28=58", "41+53=94", "94-58=36" ]
Current State: 36:[30, 28, 41, 53], Operations: [] Exploring Operation: 30+28=58, Resulting Numbers: [41, 53, 58] Generated Node #2: [41, 53, 58] from Operation: 30+28=58 Current State: 36:[41, 53, 58], Operations: ['30+28=58'] Exploring Operation: 41+53=94, Resulting Numbers: [58, 94] Generated Node #3: [58, 94] from Operation: 41+53=94 Current State: 36:[58, 94], Operations: ['30+28=58', '41+53=94'] Exploring Operation: 94-58=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4