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
[ 45, 52, 18, 17 ]
14
[ "52-17=35", "18*35=630", "630/45=14" ]
Current State: 14:[45, 52, 18, 17], Operations: [] Exploring Operation: 52-17=35, Resulting Numbers: [45, 18, 35] Generated Node #2: [45, 18, 35] from Operation: 52-17=35 Current State: 14:[45, 18, 35], Operations: ['52-17=35'] Exploring Operation: 18*35=630, Resulting Numbers: [45, 630] Generated Node #3: [45, 630] from Operation: 18*35=630 Current State: 14:[45, 630], Operations: ['52-17=35', '18*35=630'] Exploring Operation: 630/45=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 47, 6, 49, 29 ]
32
[ "49-47=2", "6/2=3", "29+3=32" ]
Current State: 32:[47, 6, 49, 29], Operations: [] Exploring Operation: 49-47=2, Resulting Numbers: [6, 29, 2] Generated Node #2: [6, 29, 2] from Operation: 49-47=2 Current State: 32:[6, 29, 2], Operations: ['49-47=2'] Exploring Operation: 6/2=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 6/2=3 Current State: 32:[29, 3], Operations: ['49-47=2', '6/2=3'] Exploring Operation: 29+3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 58, 5, 7, 79 ]
19
[ "58-5=53", "79-7=72", "72-53=19" ]
Current State: 19:[58, 5, 7, 79], Operations: [] Exploring Operation: 58-5=53, Resulting Numbers: [7, 79, 53] Generated Node #2: [7, 79, 53] from Operation: 58-5=53 Current State: 19:[7, 79, 53], Operations: ['58-5=53'] Exploring Operation: 79-7=72, Resulting Numbers: [53, 72] Generated Node #3: [53, 72] from Operation: 79-7=72 Current State: 19:[53, 72], Operations: ['58-5=53', '79-7=72'] Exploring Operation: 72-53=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 96, 35, 75, 9 ]
25
[ "96+9=105", "35*75=2625", "2625/105=25" ]
Current State: 25:[96, 35, 75, 9], Operations: [] Exploring Operation: 96+9=105, Resulting Numbers: [35, 75, 105] Generated Node #2: [35, 75, 105] from Operation: 96+9=105 Current State: 25:[35, 75, 105], Operations: ['96+9=105'] Exploring Operation: 35*75=2625, Resulting Numbers: [105, 2625] Generated Node #3: [105, 2625] from Operation: 35*75=2625 Current State: 25:[105, 2625], Operations: ['96+9=105', '35*75=2625'] Exploring Operation: 2625/105=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 74, 3, 25, 76 ]
73
[ "76-74=2", "3*25=75", "75-2=73" ]
Current State: 73:[74, 3, 25, 76], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [3, 25, 2] Generated Node #2: [3, 25, 2] from Operation: 76-74=2 Current State: 73:[3, 25, 2], Operations: ['76-74=2'] Exploring Operation: 3*25=75, Resulting Numbers: [2, 75] Generated Node #3: [2, 75] from Operation: 3*25=75 Current State: 73:[2, 75], Operations: ['76-74=2', '3*25=75'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 11, 30, 20, 57 ]
96
[ "30-11=19", "20+57=77", "19+77=96" ]
Current State: 96:[11, 30, 20, 57], Operations: [] Exploring Operation: 30-11=19, Resulting Numbers: [20, 57, 19] Generated Node #2: [20, 57, 19] from Operation: 30-11=19 Current State: 96:[20, 57, 19], Operations: ['30-11=19'] Exploring Operation: 20+57=77, Resulting Numbers: [19, 77] Generated Node #3: [19, 77] from Operation: 20+57=77 Current State: 96:[19, 77], Operations: ['30-11=19', '20+57=77'] Exploring Operation: 19+77=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 16, 8, 48, 1 ]
57
[ "16-8=8", "48+1=49", "8+49=57" ]
Current State: 57:[16, 8, 48, 1], Operations: [] Exploring Operation: 16-8=8, Resulting Numbers: [48, 1, 8] Generated Node #2: [48, 1, 8] from Operation: 16-8=8 Current State: 57:[48, 1, 8], Operations: ['16-8=8'] Exploring Operation: 48+1=49, Resulting Numbers: [8, 49] Generated Node #3: [8, 49] from Operation: 48+1=49 Current State: 57:[8, 49], Operations: ['16-8=8', '48+1=49'] Exploring Operation: 8+49=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 27, 34, 53, 45 ]
56
[ "34-27=7", "53-45=8", "7*8=56" ]
Current State: 56:[27, 34, 53, 45], Operations: [] Exploring Operation: 34-27=7, Resulting Numbers: [53, 45, 7] Generated Node #2: [53, 45, 7] from Operation: 34-27=7 Current State: 56:[53, 45, 7], Operations: ['34-27=7'] Exploring Operation: 53-45=8, Resulting Numbers: [7, 8] Generated Node #3: [7, 8] from Operation: 53-45=8 Current State: 56:[7, 8], Operations: ['34-27=7', '53-45=8'] Exploring Operation: 7*8=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 5, 49, 93, 58 ]
97
[ "5+49=54", "93+58=151", "151-54=97" ]
Current State: 97:[5, 49, 93, 58], Operations: [] Exploring Operation: 5+49=54, Resulting Numbers: [93, 58, 54] Generated Node #2: [93, 58, 54] from Operation: 5+49=54 Current State: 97:[93, 58, 54], Operations: ['5+49=54'] Exploring Operation: 93+58=151, Resulting Numbers: [54, 151] Generated Node #3: [54, 151] from Operation: 93+58=151 Current State: 97:[54, 151], Operations: ['5+49=54', '93+58=151'] Exploring Operation: 151-54=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 72, 52, 12, 76 ]
30
[ "72/12=6", "76-52=24", "6+24=30" ]
Current State: 30:[72, 52, 12, 76], Operations: [] Exploring Operation: 72/12=6, Resulting Numbers: [52, 76, 6] Generated Node #2: [52, 76, 6] from Operation: 72/12=6 Current State: 30:[52, 76, 6], Operations: ['72/12=6'] Exploring Operation: 76-52=24, Resulting Numbers: [6, 24] Generated Node #3: [6, 24] from Operation: 76-52=24 Current State: 30:[6, 24], Operations: ['72/12=6', '76-52=24'] Exploring Operation: 6+24=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 96, 71, 20, 96 ]
91
[ "96+71=167", "96-20=76", "167-76=91" ]
Current State: 91:[96, 71, 20, 96], Operations: [] Exploring Operation: 96+71=167, Resulting Numbers: [20, 167] Generated Node #2: [20, 167] from Operation: 96+71=167 Current State: 91:[20, 167], Operations: ['96+71=167'] Exploring Operation: 96-20=76, Resulting Numbers: [167, 76] Generated Node #3: [167, 76] from Operation: 96-20=76 Current State: 91:[167, 76], Operations: ['96+71=167', '96-20=76'] Exploring Operation: 167-76=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 37, 7, 70, 98 ]
63
[ "37+70=107", "107-98=9", "7*9=63" ]
Current State: 63:[37, 7, 70, 98], Operations: [] Exploring Operation: 37+70=107, Resulting Numbers: [7, 98, 107] Generated Node #2: [7, 98, 107] from Operation: 37+70=107 Current State: 63:[7, 98, 107], Operations: ['37+70=107'] Exploring Operation: 107-98=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 107-98=9 Current State: 63:[7, 9], Operations: ['37+70=107', '107-98=9'] Exploring Operation: 7*9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 23, 7, 28, 8 ]
25
[ "28/7=4", "8/4=2", "23+2=25" ]
Current State: 25:[23, 7, 28, 8], Operations: [] Exploring Operation: 28/7=4, Resulting Numbers: [23, 8, 4] Generated Node #2: [23, 8, 4] from Operation: 28/7=4 Current State: 25:[23, 8, 4], Operations: ['28/7=4'] Exploring Operation: 8/4=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 8/4=2 Current State: 25:[23, 2], Operations: ['28/7=4', '8/4=2'] Exploring Operation: 23+2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 24, 99, 42, 99 ]
18
[ "24+99=123", "42+99=141", "141-123=18" ]
Current State: 18:[24, 99, 42, 99], Operations: [] Exploring Operation: 24+99=123, Resulting Numbers: [42, 123] Generated Node #2: [42, 123] from Operation: 24+99=123 Current State: 18:[42, 123], Operations: ['24+99=123'] Exploring Operation: 42+99=141, Resulting Numbers: [123, 141] Generated Node #3: [123, 141] from Operation: 42+99=141 Current State: 18:[123, 141], Operations: ['24+99=123', '42+99=141'] Exploring Operation: 141-123=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 42, 49, 38, 61 ]
98
[ "61-42=19", "49*38=1862", "1862/19=98" ]
Current State: 98:[42, 49, 38, 61], Operations: [] Exploring Operation: 61-42=19, Resulting Numbers: [49, 38, 19] Generated Node #2: [49, 38, 19] from Operation: 61-42=19 Current State: 98:[49, 38, 19], Operations: ['61-42=19'] Exploring Operation: 49*38=1862, Resulting Numbers: [19, 1862] Generated Node #3: [19, 1862] from Operation: 49*38=1862 Current State: 98:[19, 1862], Operations: ['61-42=19', '49*38=1862'] Exploring Operation: 1862/19=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 15, 26, 57, 5 ]
11
[ "15+26=41", "57-5=52", "52-41=11" ]
Current State: 11:[15, 26, 57, 5], Operations: [] Exploring Operation: 15+26=41, Resulting Numbers: [57, 5, 41] Generated Node #2: [57, 5, 41] from Operation: 15+26=41 Current State: 11:[57, 5, 41], Operations: ['15+26=41'] Exploring Operation: 57-5=52, Resulting Numbers: [41, 52] Generated Node #3: [41, 52] from Operation: 57-5=52 Current State: 11:[41, 52], Operations: ['15+26=41', '57-5=52'] Exploring Operation: 52-41=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 69, 35, 37, 92 ]
49
[ "69+35=104", "92-37=55", "104-55=49" ]
Current State: 49:[69, 35, 37, 92], Operations: [] Exploring Operation: 69+35=104, Resulting Numbers: [37, 92, 104] Generated Node #2: [37, 92, 104] from Operation: 69+35=104 Current State: 49:[37, 92, 104], Operations: ['69+35=104'] Exploring Operation: 92-37=55, Resulting Numbers: [104, 55] Generated Node #3: [104, 55] from Operation: 92-37=55 Current State: 49:[104, 55], Operations: ['69+35=104', '92-37=55'] Exploring Operation: 104-55=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 96, 84, 72, 26 ]
37
[ "84*72=6048", "6048/96=63", "63-26=37" ]
Current State: 37:[96, 84, 72, 26], Operations: [] Exploring Operation: 84*72=6048, Resulting Numbers: [96, 26, 6048] Generated Node #2: [96, 26, 6048] from Operation: 84*72=6048 Current State: 37:[96, 26, 6048], Operations: ['84*72=6048'] Exploring Operation: 6048/96=63, Resulting Numbers: [26, 63] Generated Node #3: [26, 63] from Operation: 6048/96=63 Current State: 37:[26, 63], Operations: ['84*72=6048', '6048/96=63'] Exploring Operation: 63-26=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 86, 4, 24, 3 ]
50
[ "86-24=62", "4*3=12", "62-12=50" ]
Current State: 50:[86, 4, 24, 3], Operations: [] Exploring Operation: 86-24=62, Resulting Numbers: [4, 3, 62] Generated Node #2: [4, 3, 62] from Operation: 86-24=62 Current State: 50:[4, 3, 62], Operations: ['86-24=62'] Exploring Operation: 4*3=12, Resulting Numbers: [62, 12] Generated Node #3: [62, 12] from Operation: 4*3=12 Current State: 50:[62, 12], Operations: ['86-24=62', '4*3=12'] Exploring Operation: 62-12=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 9, 36, 5, 27 ]
34
[ "27/9=3", "36-5=31", "3+31=34" ]
Current State: 34:[9, 36, 5, 27], Operations: [] Exploring Operation: 27/9=3, Resulting Numbers: [36, 5, 3] Generated Node #2: [36, 5, 3] from Operation: 27/9=3 Current State: 34:[36, 5, 3], Operations: ['27/9=3'] Exploring Operation: 36-5=31, Resulting Numbers: [3, 31] Generated Node #3: [3, 31] from Operation: 36-5=31 Current State: 34:[3, 31], Operations: ['27/9=3', '36-5=31'] Exploring Operation: 3+31=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 4, 11, 73, 25 ]
83
[ "4+11=15", "73+25=98", "98-15=83" ]
Current State: 83:[4, 11, 73, 25], Operations: [] Exploring Operation: 4+11=15, Resulting Numbers: [73, 25, 15] Generated Node #2: [73, 25, 15] from Operation: 4+11=15 Current State: 83:[73, 25, 15], Operations: ['4+11=15'] Exploring Operation: 73+25=98, Resulting Numbers: [15, 98] Generated Node #3: [15, 98] from Operation: 73+25=98 Current State: 83:[15, 98], Operations: ['4+11=15', '73+25=98'] Exploring Operation: 98-15=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 29, 31, 57, 45 ]
69
[ "31-29=2", "57*2=114", "114-45=69" ]
Current State: 69:[29, 31, 57, 45], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [57, 45, 2] Generated Node #2: [57, 45, 2] from Operation: 31-29=2 Current State: 69:[57, 45, 2], Operations: ['31-29=2'] Exploring Operation: 57*2=114, Resulting Numbers: [45, 114] Generated Node #3: [45, 114] from Operation: 57*2=114 Current State: 69:[45, 114], Operations: ['31-29=2', '57*2=114'] Exploring Operation: 114-45=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 57, 82, 50, 7 ]
38
[ "57*50=2850", "82-7=75", "2850/75=38" ]
Current State: 38:[57, 82, 50, 7], Operations: [] Exploring Operation: 57*50=2850, Resulting Numbers: [82, 7, 2850] Generated Node #2: [82, 7, 2850] from Operation: 57*50=2850 Current State: 38:[82, 7, 2850], Operations: ['57*50=2850'] Exploring Operation: 82-7=75, Resulting Numbers: [2850, 75] Generated Node #3: [2850, 75] from Operation: 82-7=75 Current State: 38:[2850, 75], Operations: ['57*50=2850', '82-7=75'] Exploring Operation: 2850/75=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 32, 6, 89, 88 ]
39
[ "32+6=38", "89-88=1", "38+1=39" ]
Current State: 39:[32, 6, 89, 88], Operations: [] Exploring Operation: 32+6=38, Resulting Numbers: [89, 88, 38] Generated Node #2: [89, 88, 38] from Operation: 32+6=38 Current State: 39:[89, 88, 38], Operations: ['32+6=38'] Exploring Operation: 89-88=1, Resulting Numbers: [38, 1] Generated Node #3: [38, 1] from Operation: 89-88=1 Current State: 39:[38, 1], Operations: ['32+6=38', '89-88=1'] Exploring Operation: 38+1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 80, 4, 16, 12 ]
32
[ "80*4=320", "320/16=20", "12+20=32" ]
Current State: 32:[80, 4, 16, 12], Operations: [] Exploring Operation: 80*4=320, Resulting Numbers: [16, 12, 320] Generated Node #2: [16, 12, 320] from Operation: 80*4=320 Current State: 32:[16, 12, 320], Operations: ['80*4=320'] Exploring Operation: 320/16=20, Resulting Numbers: [12, 20] Generated Node #3: [12, 20] from Operation: 320/16=20 Current State: 32:[12, 20], Operations: ['80*4=320', '320/16=20'] Exploring Operation: 12+20=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 48, 39, 58, 5 ]
44
[ "48-39=9", "58-5=53", "53-9=44" ]
Current State: 44:[48, 39, 58, 5], Operations: [] Exploring Operation: 48-39=9, Resulting Numbers: [58, 5, 9] Generated Node #2: [58, 5, 9] from Operation: 48-39=9 Current State: 44:[58, 5, 9], Operations: ['48-39=9'] Exploring Operation: 58-5=53, Resulting Numbers: [9, 53] Generated Node #3: [9, 53] from Operation: 58-5=53 Current State: 44:[9, 53], Operations: ['48-39=9', '58-5=53'] Exploring Operation: 53-9=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 73, 55, 40, 50 ]
72
[ "73-55=18", "40+50=90", "90-18=72" ]
Current State: 72:[73, 55, 40, 50], Operations: [] Exploring Operation: 73-55=18, Resulting Numbers: [40, 50, 18] Generated Node #2: [40, 50, 18] from Operation: 73-55=18 Current State: 72:[40, 50, 18], Operations: ['73-55=18'] Exploring Operation: 40+50=90, Resulting Numbers: [18, 90] Generated Node #3: [18, 90] from Operation: 40+50=90 Current State: 72:[18, 90], Operations: ['73-55=18', '40+50=90'] Exploring Operation: 90-18=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 7, 91, 18, 66 ]
79
[ "18+66=84", "84/7=12", "91-12=79" ]
Current State: 79:[7, 91, 18, 66], Operations: [] Exploring Operation: 18+66=84, Resulting Numbers: [7, 91, 84] Generated Node #2: [7, 91, 84] from Operation: 18+66=84 Current State: 79:[7, 91, 84], Operations: ['18+66=84'] Exploring Operation: 84/7=12, Resulting Numbers: [91, 12] Generated Node #3: [91, 12] from Operation: 84/7=12 Current State: 79:[91, 12], Operations: ['18+66=84', '84/7=12'] Exploring Operation: 91-12=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 1, 12, 86, 65 ]
34
[ "1+12=13", "86-65=21", "13+21=34" ]
Current State: 34:[1, 12, 86, 65], Operations: [] Exploring Operation: 1+12=13, Resulting Numbers: [86, 65, 13] Generated Node #2: [86, 65, 13] from Operation: 1+12=13 Current State: 34:[86, 65, 13], Operations: ['1+12=13'] Exploring Operation: 86-65=21, Resulting Numbers: [13, 21] Generated Node #3: [13, 21] from Operation: 86-65=21 Current State: 34:[13, 21], Operations: ['1+12=13', '86-65=21'] Exploring Operation: 13+21=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 79, 53, 29, 28 ]
26
[ "79-53=26", "29-28=1", "26*1=26" ]
Current State: 26:[79, 53, 29, 28], Operations: [] Exploring Operation: 79-53=26, Resulting Numbers: [29, 28, 26] Generated Node #2: [29, 28, 26] from Operation: 79-53=26 Current State: 26:[29, 28, 26], Operations: ['79-53=26'] Exploring Operation: 29-28=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 29-28=1 Current State: 26:[26, 1], Operations: ['79-53=26', '29-28=1'] Exploring Operation: 26*1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 47, 66, 62, 24 ]
75
[ "47+66=113", "62-24=38", "113-38=75" ]
Current State: 75:[47, 66, 62, 24], Operations: [] Exploring Operation: 47+66=113, Resulting Numbers: [62, 24, 113] Generated Node #2: [62, 24, 113] from Operation: 47+66=113 Current State: 75:[62, 24, 113], Operations: ['47+66=113'] Exploring Operation: 62-24=38, Resulting Numbers: [113, 38] Generated Node #3: [113, 38] from Operation: 62-24=38 Current State: 75:[113, 38], Operations: ['47+66=113', '62-24=38'] Exploring Operation: 113-38=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 27, 78, 65, 14 ]
59
[ "27-14=13", "78/13=6", "65-6=59" ]
Current State: 59:[27, 78, 65, 14], Operations: [] Exploring Operation: 27-14=13, Resulting Numbers: [78, 65, 13] Generated Node #2: [78, 65, 13] from Operation: 27-14=13 Current State: 59:[78, 65, 13], Operations: ['27-14=13'] Exploring Operation: 78/13=6, Resulting Numbers: [65, 6] Generated Node #3: [65, 6] from Operation: 78/13=6 Current State: 59:[65, 6], Operations: ['27-14=13', '78/13=6'] Exploring Operation: 65-6=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 13, 18, 34, 21 ]
89
[ "21-18=3", "34*3=102", "102-13=89" ]
Current State: 89:[13, 18, 34, 21], Operations: [] Exploring Operation: 21-18=3, Resulting Numbers: [13, 34, 3] Generated Node #2: [13, 34, 3] from Operation: 21-18=3 Current State: 89:[13, 34, 3], Operations: ['21-18=3'] Exploring Operation: 34*3=102, Resulting Numbers: [13, 102] Generated Node #3: [13, 102] from Operation: 34*3=102 Current State: 89:[13, 102], Operations: ['21-18=3', '34*3=102'] Exploring Operation: 102-13=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 60, 26, 19, 25 ]
40
[ "60-26=34", "25-19=6", "34+6=40" ]
Current State: 40:[60, 26, 19, 25], Operations: [] Exploring Operation: 60-26=34, Resulting Numbers: [19, 25, 34] Generated Node #2: [19, 25, 34] from Operation: 60-26=34 Current State: 40:[19, 25, 34], Operations: ['60-26=34'] Exploring Operation: 25-19=6, Resulting Numbers: [34, 6] Generated Node #3: [34, 6] from Operation: 25-19=6 Current State: 40:[34, 6], Operations: ['60-26=34', '25-19=6'] Exploring Operation: 34+6=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 88, 91, 64, 85 ]
62
[ "91+85=176", "176/88=2", "64-2=62" ]
Current State: 62:[88, 91, 64, 85], Operations: [] Exploring Operation: 91+85=176, Resulting Numbers: [88, 64, 176] Generated Node #2: [88, 64, 176] from Operation: 91+85=176 Current State: 62:[88, 64, 176], Operations: ['91+85=176'] Exploring Operation: 176/88=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 176/88=2 Current State: 62:[64, 2], Operations: ['91+85=176', '176/88=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 92, 68, 14, 4 ]
61
[ "92-14=78", "68/4=17", "78-17=61" ]
Current State: 61:[92, 68, 14, 4], Operations: [] Exploring Operation: 92-14=78, Resulting Numbers: [68, 4, 78] Generated Node #2: [68, 4, 78] from Operation: 92-14=78 Current State: 61:[68, 4, 78], Operations: ['92-14=78'] Exploring Operation: 68/4=17, Resulting Numbers: [78, 17] Generated Node #3: [78, 17] from Operation: 68/4=17 Current State: 61:[78, 17], Operations: ['92-14=78', '68/4=17'] Exploring Operation: 78-17=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 74, 92, 34, 70 ]
54
[ "92-74=18", "70-34=36", "18+36=54" ]
Current State: 54:[74, 92, 34, 70], Operations: [] Exploring Operation: 92-74=18, Resulting Numbers: [34, 70, 18] Generated Node #2: [34, 70, 18] from Operation: 92-74=18 Current State: 54:[34, 70, 18], Operations: ['92-74=18'] Exploring Operation: 70-34=36, Resulting Numbers: [18, 36] Generated Node #3: [18, 36] from Operation: 70-34=36 Current State: 54:[18, 36], Operations: ['92-74=18', '70-34=36'] Exploring Operation: 18+36=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 56, 47, 19, 50 ]
22
[ "56-47=9", "50-19=31", "31-9=22" ]
Current State: 22:[56, 47, 19, 50], Operations: [] Exploring Operation: 56-47=9, Resulting Numbers: [19, 50, 9] Generated Node #2: [19, 50, 9] from Operation: 56-47=9 Current State: 22:[19, 50, 9], Operations: ['56-47=9'] Exploring Operation: 50-19=31, Resulting Numbers: [9, 31] Generated Node #3: [9, 31] from Operation: 50-19=31 Current State: 22:[9, 31], Operations: ['56-47=9', '50-19=31'] Exploring Operation: 31-9=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 74, 24, 2, 79 ]
58
[ "74-24=50", "79-50=29", "2*29=58" ]
Current State: 58:[74, 24, 2, 79], Operations: [] Exploring Operation: 74-24=50, Resulting Numbers: [2, 79, 50] Generated Node #2: [2, 79, 50] from Operation: 74-24=50 Current State: 58:[2, 79, 50], Operations: ['74-24=50'] Exploring Operation: 79-50=29, Resulting Numbers: [2, 29] Generated Node #3: [2, 29] from Operation: 79-50=29 Current State: 58:[2, 29], Operations: ['74-24=50', '79-50=29'] Exploring Operation: 2*29=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 73, 90, 33, 41 ]
25
[ "90-73=17", "41-33=8", "17+8=25" ]
Current State: 25:[73, 90, 33, 41], Operations: [] Exploring Operation: 90-73=17, Resulting Numbers: [33, 41, 17] Generated Node #2: [33, 41, 17] from Operation: 90-73=17 Current State: 25:[33, 41, 17], Operations: ['90-73=17'] Exploring Operation: 41-33=8, Resulting Numbers: [17, 8] Generated Node #3: [17, 8] from Operation: 41-33=8 Current State: 25:[17, 8], Operations: ['90-73=17', '41-33=8'] Exploring Operation: 17+8=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 62, 27, 99, 38 ]
96
[ "62-27=35", "99-38=61", "35+61=96" ]
Current State: 96:[62, 27, 99, 38], Operations: [] Exploring Operation: 62-27=35, Resulting Numbers: [99, 38, 35] Generated Node #2: [99, 38, 35] from Operation: 62-27=35 Current State: 96:[99, 38, 35], Operations: ['62-27=35'] Exploring Operation: 99-38=61, Resulting Numbers: [35, 61] Generated Node #3: [35, 61] from Operation: 99-38=61 Current State: 96:[35, 61], Operations: ['62-27=35', '99-38=61'] Exploring Operation: 35+61=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 46, 38, 9, 70 ]
23
[ "46+38=84", "70-9=61", "84-61=23" ]
Current State: 23:[46, 38, 9, 70], Operations: [] Exploring Operation: 46+38=84, Resulting Numbers: [9, 70, 84] Generated Node #2: [9, 70, 84] from Operation: 46+38=84 Current State: 23:[9, 70, 84], Operations: ['46+38=84'] Exploring Operation: 70-9=61, Resulting Numbers: [84, 61] Generated Node #3: [84, 61] from Operation: 70-9=61 Current State: 23:[84, 61], Operations: ['46+38=84', '70-9=61'] Exploring Operation: 84-61=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 18, 82, 57, 71 ]
78
[ "82-18=64", "71-57=14", "64+14=78" ]
Current State: 78:[18, 82, 57, 71], Operations: [] Exploring Operation: 82-18=64, Resulting Numbers: [57, 71, 64] Generated Node #2: [57, 71, 64] from Operation: 82-18=64 Current State: 78:[57, 71, 64], Operations: ['82-18=64'] Exploring Operation: 71-57=14, Resulting Numbers: [64, 14] Generated Node #3: [64, 14] from Operation: 71-57=14 Current State: 78:[64, 14], Operations: ['82-18=64', '71-57=14'] Exploring Operation: 64+14=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 40, 38, 58, 9 ]
29
[ "40+38=78", "58-9=49", "78-49=29" ]
Current State: 29:[40, 38, 58, 9], Operations: [] Exploring Operation: 40+38=78, Resulting Numbers: [58, 9, 78] Generated Node #2: [58, 9, 78] from Operation: 40+38=78 Current State: 29:[58, 9, 78], Operations: ['40+38=78'] Exploring Operation: 58-9=49, Resulting Numbers: [78, 49] Generated Node #3: [78, 49] from Operation: 58-9=49 Current State: 29:[78, 49], Operations: ['40+38=78', '58-9=49'] Exploring Operation: 78-49=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 35, 79, 21, 2 ]
81
[ "79-21=58", "2*58=116", "116-35=81" ]
Current State: 81:[35, 79, 21, 2], Operations: [] Exploring Operation: 79-21=58, Resulting Numbers: [35, 2, 58] Generated Node #2: [35, 2, 58] from Operation: 79-21=58 Current State: 81:[35, 2, 58], Operations: ['79-21=58'] Exploring Operation: 2*58=116, Resulting Numbers: [35, 116] Generated Node #3: [35, 116] from Operation: 2*58=116 Current State: 81:[35, 116], Operations: ['79-21=58', '2*58=116'] Exploring Operation: 116-35=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 4, 30, 3, 19 ]
33
[ "4+19=23", "30/3=10", "23+10=33" ]
Current State: 33:[4, 30, 3, 19], Operations: [] Exploring Operation: 4+19=23, Resulting Numbers: [30, 3, 23] Generated Node #2: [30, 3, 23] from Operation: 4+19=23 Current State: 33:[30, 3, 23], Operations: ['4+19=23'] Exploring Operation: 30/3=10, Resulting Numbers: [23, 10] Generated Node #3: [23, 10] from Operation: 30/3=10 Current State: 33:[23, 10], Operations: ['4+19=23', '30/3=10'] Exploring Operation: 23+10=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 77, 43, 89, 5 ]
49
[ "77+89=166", "43*5=215", "215-166=49" ]
Current State: 49:[77, 43, 89, 5], Operations: [] Exploring Operation: 77+89=166, Resulting Numbers: [43, 5, 166] Generated Node #2: [43, 5, 166] from Operation: 77+89=166 Current State: 49:[43, 5, 166], Operations: ['77+89=166'] Exploring Operation: 43*5=215, Resulting Numbers: [166, 215] Generated Node #3: [166, 215] from Operation: 43*5=215 Current State: 49:[166, 215], Operations: ['77+89=166', '43*5=215'] Exploring Operation: 215-166=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 38, 74, 30, 12 ]
90
[ "74-38=36", "30*36=1080", "1080/12=90" ]
Current State: 90:[38, 74, 30, 12], Operations: [] Exploring Operation: 74-38=36, Resulting Numbers: [30, 12, 36] Generated Node #2: [30, 12, 36] from Operation: 74-38=36 Current State: 90:[30, 12, 36], Operations: ['74-38=36'] Exploring Operation: 30*36=1080, Resulting Numbers: [12, 1080] Generated Node #3: [12, 1080] from Operation: 30*36=1080 Current State: 90:[12, 1080], Operations: ['74-38=36', '30*36=1080'] Exploring Operation: 1080/12=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 4, 25, 61, 67 ]
58
[ "61-25=36", "36/4=9", "67-9=58" ]
Current State: 58:[4, 25, 61, 67], Operations: [] Exploring Operation: 61-25=36, Resulting Numbers: [4, 67, 36] Generated Node #2: [4, 67, 36] from Operation: 61-25=36 Current State: 58:[4, 67, 36], Operations: ['61-25=36'] Exploring Operation: 36/4=9, Resulting Numbers: [67, 9] Generated Node #3: [67, 9] from Operation: 36/4=9 Current State: 58:[67, 9], Operations: ['61-25=36', '36/4=9'] Exploring Operation: 67-9=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 58, 33, 56, 5 ]
23
[ "58-56=2", "5*2=10", "33-10=23" ]
Current State: 23:[58, 33, 56, 5], Operations: [] Exploring Operation: 58-56=2, Resulting Numbers: [33, 5, 2] Generated Node #2: [33, 5, 2] from Operation: 58-56=2 Current State: 23:[33, 5, 2], Operations: ['58-56=2'] Exploring Operation: 5*2=10, Resulting Numbers: [33, 10] Generated Node #3: [33, 10] from Operation: 5*2=10 Current State: 23:[33, 10], Operations: ['58-56=2', '5*2=10'] Exploring Operation: 33-10=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 18, 82, 6, 48 ]
96
[ "82-18=64", "64-48=16", "6*16=96" ]
Current State: 96:[18, 82, 6, 48], Operations: [] Exploring Operation: 82-18=64, Resulting Numbers: [6, 48, 64] Generated Node #2: [6, 48, 64] from Operation: 82-18=64 Current State: 96:[6, 48, 64], Operations: ['82-18=64'] Exploring Operation: 64-48=16, Resulting Numbers: [6, 16] Generated Node #3: [6, 16] from Operation: 64-48=16 Current State: 96:[6, 16], Operations: ['82-18=64', '64-48=16'] Exploring Operation: 6*16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 62, 5, 2, 57 ]
50
[ "62-57=5", "5*2=10", "5*10=50" ]
Current State: 50:[62, 5, 2, 57], Operations: [] Exploring Operation: 62-57=5, Resulting Numbers: [5, 2, 5] Generated Node #2: [5, 2, 5] from Operation: 62-57=5 Current State: 50:[5, 2, 5], Operations: ['62-57=5'] Exploring Operation: 5*2=10, Resulting Numbers: [10] 10,50 equal: Goal Reached Exploring Operation: 5*10=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 87, 15, 31, 3 ]
61
[ "87-31=56", "15/3=5", "56+5=61" ]
Current State: 61:[87, 15, 31, 3], Operations: [] Exploring Operation: 87-31=56, Resulting Numbers: [15, 3, 56] Generated Node #2: [15, 3, 56] from Operation: 87-31=56 Current State: 61:[15, 3, 56], Operations: ['87-31=56'] Exploring Operation: 15/3=5, Resulting Numbers: [56, 5] Generated Node #3: [56, 5] from Operation: 15/3=5 Current State: 61:[56, 5], Operations: ['87-31=56', '15/3=5'] Exploring Operation: 56+5=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 10, 24, 40, 71 ]
97
[ "24-10=14", "40+71=111", "111-14=97" ]
Current State: 97:[10, 24, 40, 71], Operations: [] Exploring Operation: 24-10=14, Resulting Numbers: [40, 71, 14] Generated Node #2: [40, 71, 14] from Operation: 24-10=14 Current State: 97:[40, 71, 14], Operations: ['24-10=14'] Exploring Operation: 40+71=111, Resulting Numbers: [14, 111] Generated Node #3: [14, 111] from Operation: 40+71=111 Current State: 97:[14, 111], Operations: ['24-10=14', '40+71=111'] Exploring Operation: 111-14=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 58, 72, 75, 33 ]
75
[ "58-33=25", "75-72=3", "25*3=75" ]
Current State: 75:[58, 72, 75, 33], Operations: [] Exploring Operation: 58-33=25, Resulting Numbers: [72, 75, 25] Generated Node #2: [72, 75, 25] from Operation: 58-33=25 Current State: 75:[72, 75, 25], Operations: ['58-33=25'] Exploring Operation: 75-72=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 75-72=3 Current State: 75:[25, 3], Operations: ['58-33=25', '75-72=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 27, 92, 61, 8 ]
50
[ "27+92=119", "61+8=69", "119-69=50" ]
Current State: 50:[27, 92, 61, 8], Operations: [] Exploring Operation: 27+92=119, Resulting Numbers: [61, 8, 119] Generated Node #2: [61, 8, 119] from Operation: 27+92=119 Current State: 50:[61, 8, 119], Operations: ['27+92=119'] Exploring Operation: 61+8=69, Resulting Numbers: [119, 69] Generated Node #3: [119, 69] from Operation: 61+8=69 Current State: 50:[119, 69], Operations: ['27+92=119', '61+8=69'] Exploring Operation: 119-69=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 89, 91, 75, 31 ]
46
[ "91-89=2", "75-31=44", "2+44=46" ]
Current State: 46:[89, 91, 75, 31], Operations: [] Exploring Operation: 91-89=2, Resulting Numbers: [75, 31, 2] Generated Node #2: [75, 31, 2] from Operation: 91-89=2 Current State: 46:[75, 31, 2], Operations: ['91-89=2'] Exploring Operation: 75-31=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 75-31=44 Current State: 46:[2, 44], Operations: ['91-89=2', '75-31=44'] Exploring Operation: 2+44=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 33, 19, 25, 4 ]
84
[ "33-25=8", "19*4=76", "8+76=84" ]
Current State: 84:[33, 19, 25, 4], Operations: [] Exploring Operation: 33-25=8, Resulting Numbers: [19, 4, 8] Generated Node #2: [19, 4, 8] from Operation: 33-25=8 Current State: 84:[19, 4, 8], Operations: ['33-25=8'] Exploring Operation: 19*4=76, Resulting Numbers: [8, 76] Generated Node #3: [8, 76] from Operation: 19*4=76 Current State: 84:[8, 76], Operations: ['33-25=8', '19*4=76'] Exploring Operation: 8+76=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 22, 5, 12, 89 ]
81
[ "22+12=34", "5*34=170", "170-89=81" ]
Current State: 81:[22, 5, 12, 89], Operations: [] Exploring Operation: 22+12=34, Resulting Numbers: [5, 89, 34] Generated Node #2: [5, 89, 34] from Operation: 22+12=34 Current State: 81:[5, 89, 34], Operations: ['22+12=34'] Exploring Operation: 5*34=170, Resulting Numbers: [89, 170] Generated Node #3: [89, 170] from Operation: 5*34=170 Current State: 81:[89, 170], Operations: ['22+12=34', '5*34=170'] Exploring Operation: 170-89=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 60, 49, 64, 14 ]
59
[ "60+49=109", "64-14=50", "109-50=59" ]
Current State: 59:[60, 49, 64, 14], Operations: [] Exploring Operation: 60+49=109, Resulting Numbers: [64, 14, 109] Generated Node #2: [64, 14, 109] from Operation: 60+49=109 Current State: 59:[64, 14, 109], Operations: ['60+49=109'] Exploring Operation: 64-14=50, Resulting Numbers: [109, 50] Generated Node #3: [109, 50] from Operation: 64-14=50 Current State: 59:[109, 50], Operations: ['60+49=109', '64-14=50'] Exploring Operation: 109-50=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 80, 30, 44, 76 ]
50
[ "30*76=2280", "2280-80=2200", "2200/44=50" ]
Current State: 50:[80, 30, 44, 76], Operations: [] Exploring Operation: 30*76=2280, Resulting Numbers: [80, 44, 2280] Generated Node #2: [80, 44, 2280] from Operation: 30*76=2280 Current State: 50:[80, 44, 2280], Operations: ['30*76=2280'] Exploring Operation: 2280-80=2200, Resulting Numbers: [44, 2200] Generated Node #3: [44, 2200] from Operation: 2280-80=2200 Current State: 50:[44, 2200], Operations: ['30*76=2280', '2280-80=2200'] Exploring Operation: 2200/44=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 87, 20, 36, 91 ]
64
[ "91-87=4", "36-20=16", "4*16=64" ]
Current State: 64:[87, 20, 36, 91], Operations: [] Exploring Operation: 91-87=4, Resulting Numbers: [20, 36, 4] Generated Node #2: [20, 36, 4] from Operation: 91-87=4 Current State: 64:[20, 36, 4], Operations: ['91-87=4'] Exploring Operation: 36-20=16, Resulting Numbers: [4, 16] Generated Node #3: [4, 16] from Operation: 36-20=16 Current State: 64:[4, 16], Operations: ['91-87=4', '36-20=16'] Exploring Operation: 4*16=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 57, 36, 38, 70 ]
11
[ "57-36=21", "70-38=32", "32-21=11" ]
Current State: 11:[57, 36, 38, 70], Operations: [] Exploring Operation: 57-36=21, Resulting Numbers: [38, 70, 21] Generated Node #2: [38, 70, 21] from Operation: 57-36=21 Current State: 11:[38, 70, 21], Operations: ['57-36=21'] Exploring Operation: 70-38=32, Resulting Numbers: [21, 32] Generated Node #3: [21, 32] from Operation: 70-38=32 Current State: 11:[21, 32], Operations: ['57-36=21', '70-38=32'] Exploring Operation: 32-21=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 48, 72, 46, 24 ]
94
[ "72-48=24", "46+24=70", "24+70=94" ]
Current State: 94:[48, 72, 46, 24], Operations: [] Exploring Operation: 72-48=24, Resulting Numbers: [46, 24, 24] Generated Node #2: [46, 24, 24] from Operation: 72-48=24 Current State: 94:[46, 24, 24], Operations: ['72-48=24'] Exploring Operation: 46+24=70, Resulting Numbers: [70] 70,94 equal: Goal Reached Exploring Operation: 24+70=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 13, 15, 25, 59 ]
71
[ "25-15=10", "13*10=130", "130-59=71" ]
Current State: 71:[13, 15, 25, 59], Operations: [] Exploring Operation: 25-15=10, Resulting Numbers: [13, 59, 10] Generated Node #2: [13, 59, 10] from Operation: 25-15=10 Current State: 71:[13, 59, 10], Operations: ['25-15=10'] Exploring Operation: 13*10=130, Resulting Numbers: [59, 130] Generated Node #3: [59, 130] from Operation: 13*10=130 Current State: 71:[59, 130], Operations: ['25-15=10', '13*10=130'] Exploring Operation: 130-59=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 15, 90, 22, 20 ]
33
[ "90-15=75", "22+20=42", "75-42=33" ]
Current State: 33:[15, 90, 22, 20], Operations: [] Exploring Operation: 90-15=75, Resulting Numbers: [22, 20, 75] Generated Node #2: [22, 20, 75] from Operation: 90-15=75 Current State: 33:[22, 20, 75], Operations: ['90-15=75'] Exploring Operation: 22+20=42, Resulting Numbers: [75, 42] Generated Node #3: [75, 42] from Operation: 22+20=42 Current State: 33:[75, 42], Operations: ['90-15=75', '22+20=42'] Exploring Operation: 75-42=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 78, 96, 60, 36 ]
58
[ "96-78=18", "36/18=2", "60-2=58" ]
Current State: 58:[78, 96, 60, 36], Operations: [] Exploring Operation: 96-78=18, Resulting Numbers: [60, 36, 18] Generated Node #2: [60, 36, 18] from Operation: 96-78=18 Current State: 58:[60, 36, 18], Operations: ['96-78=18'] Exploring Operation: 36/18=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 36/18=2 Current State: 58:[60, 2], Operations: ['96-78=18', '36/18=2'] Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 43, 78, 9, 14 ]
91
[ "78-43=35", "9*14=126", "126-35=91" ]
Current State: 91:[43, 78, 9, 14], Operations: [] Exploring Operation: 78-43=35, Resulting Numbers: [9, 14, 35] Generated Node #2: [9, 14, 35] from Operation: 78-43=35 Current State: 91:[9, 14, 35], Operations: ['78-43=35'] Exploring Operation: 9*14=126, Resulting Numbers: [35, 126] Generated Node #3: [35, 126] from Operation: 9*14=126 Current State: 91:[35, 126], Operations: ['78-43=35', '9*14=126'] Exploring Operation: 126-35=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 75, 90, 91, 87 ]
66
[ "90-87=3", "75/3=25", "91-25=66" ]
Current State: 66:[75, 90, 91, 87], Operations: [] Exploring Operation: 90-87=3, Resulting Numbers: [75, 91, 3] Generated Node #2: [75, 91, 3] from Operation: 90-87=3 Current State: 66:[75, 91, 3], Operations: ['90-87=3'] Exploring Operation: 75/3=25, Resulting Numbers: [91, 25] Generated Node #3: [91, 25] from Operation: 75/3=25 Current State: 66:[91, 25], Operations: ['90-87=3', '75/3=25'] Exploring Operation: 91-25=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 32, 4, 30, 31 ]
39
[ "32-30=2", "4*2=8", "31+8=39" ]
Current State: 39:[32, 4, 30, 31], Operations: [] Exploring Operation: 32-30=2, Resulting Numbers: [4, 31, 2] Generated Node #2: [4, 31, 2] from Operation: 32-30=2 Current State: 39:[4, 31, 2], Operations: ['32-30=2'] Exploring Operation: 4*2=8, Resulting Numbers: [31, 8] Generated Node #3: [31, 8] from Operation: 4*2=8 Current State: 39:[31, 8], Operations: ['32-30=2', '4*2=8'] Exploring Operation: 31+8=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 3, 43, 21, 2 ]
75
[ "3*43=129", "21+129=150", "150/2=75" ]
Current State: 75:[3, 43, 21, 2], Operations: [] Exploring Operation: 3*43=129, Resulting Numbers: [21, 2, 129] Generated Node #2: [21, 2, 129] from Operation: 3*43=129 Current State: 75:[21, 2, 129], Operations: ['3*43=129'] Exploring Operation: 21+129=150, Resulting Numbers: [2, 150] Generated Node #3: [2, 150] from Operation: 21+129=150 Current State: 75:[2, 150], Operations: ['3*43=129', '21+129=150'] Exploring Operation: 150/2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 58, 61, 60, 40 ]
42
[ "60-58=2", "61-40=21", "2*21=42" ]
Current State: 42:[58, 61, 60, 40], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [61, 40, 2] Generated Node #2: [61, 40, 2] from Operation: 60-58=2 Current State: 42:[61, 40, 2], Operations: ['60-58=2'] Exploring Operation: 61-40=21, Resulting Numbers: [2, 21] Generated Node #3: [2, 21] from Operation: 61-40=21 Current State: 42:[2, 21], Operations: ['60-58=2', '61-40=21'] Exploring Operation: 2*21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 42, 94, 59, 90 ]
83
[ "94-42=52", "90-59=31", "52+31=83" ]
Current State: 83:[42, 94, 59, 90], Operations: [] Exploring Operation: 94-42=52, Resulting Numbers: [59, 90, 52] Generated Node #2: [59, 90, 52] from Operation: 94-42=52 Current State: 83:[59, 90, 52], Operations: ['94-42=52'] Exploring Operation: 90-59=31, Resulting Numbers: [52, 31] Generated Node #3: [52, 31] from Operation: 90-59=31 Current State: 83:[52, 31], Operations: ['94-42=52', '90-59=31'] Exploring Operation: 52+31=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 20, 38, 51, 32 ]
37
[ "38-20=18", "51-32=19", "18+19=37" ]
Current State: 37:[20, 38, 51, 32], Operations: [] Exploring Operation: 38-20=18, Resulting Numbers: [51, 32, 18] Generated Node #2: [51, 32, 18] from Operation: 38-20=18 Current State: 37:[51, 32, 18], Operations: ['38-20=18'] Exploring Operation: 51-32=19, Resulting Numbers: [18, 19] Generated Node #3: [18, 19] from Operation: 51-32=19 Current State: 37:[18, 19], Operations: ['38-20=18', '51-32=19'] Exploring Operation: 18+19=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 90, 2, 92, 45 ]
90
[ "92/2=46", "46-45=1", "90*1=90" ]
Current State: 90:[90, 2, 92, 45], Operations: [] Exploring Operation: 92/2=46, Resulting Numbers: [90, 45, 46] Generated Node #2: [90, 45, 46] from Operation: 92/2=46 Current State: 90:[90, 45, 46], Operations: ['92/2=46'] Exploring Operation: 46-45=1, Resulting Numbers: [90, 1] Generated Node #3: [90, 1] from Operation: 46-45=1 Current State: 90:[90, 1], Operations: ['92/2=46', '46-45=1'] Exploring Operation: 90*1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 55, 20, 54, 4 ]
85
[ "55-20=35", "54-4=50", "35+50=85" ]
Current State: 85:[55, 20, 54, 4], Operations: [] Exploring Operation: 55-20=35, Resulting Numbers: [54, 4, 35] Generated Node #2: [54, 4, 35] from Operation: 55-20=35 Current State: 85:[54, 4, 35], Operations: ['55-20=35'] Exploring Operation: 54-4=50, Resulting Numbers: [35, 50] Generated Node #3: [35, 50] from Operation: 54-4=50 Current State: 85:[35, 50], Operations: ['55-20=35', '54-4=50'] Exploring Operation: 35+50=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 82, 13, 36, 2 ]
65
[ "82/2=41", "41-36=5", "13*5=65" ]
Current State: 65:[82, 13, 36, 2], Operations: [] Exploring Operation: 82/2=41, Resulting Numbers: [13, 36, 41] Generated Node #2: [13, 36, 41] from Operation: 82/2=41 Current State: 65:[13, 36, 41], Operations: ['82/2=41'] Exploring Operation: 41-36=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 41-36=5 Current State: 65:[13, 5], Operations: ['82/2=41', '41-36=5'] Exploring Operation: 13*5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 33, 56, 32, 27 ]
72
[ "56+32=88", "27*88=2376", "2376/33=72" ]
Current State: 72:[33, 56, 32, 27], Operations: [] Exploring Operation: 56+32=88, Resulting Numbers: [33, 27, 88] Generated Node #2: [33, 27, 88] from Operation: 56+32=88 Current State: 72:[33, 27, 88], Operations: ['56+32=88'] Exploring Operation: 27*88=2376, Resulting Numbers: [33, 2376] Generated Node #3: [33, 2376] from Operation: 27*88=2376 Current State: 72:[33, 2376], Operations: ['56+32=88', '27*88=2376'] Exploring Operation: 2376/33=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 31, 35, 4, 55 ]
15
[ "31+35=66", "55-4=51", "66-51=15" ]
Current State: 15:[31, 35, 4, 55], Operations: [] Exploring Operation: 31+35=66, Resulting Numbers: [4, 55, 66] Generated Node #2: [4, 55, 66] from Operation: 31+35=66 Current State: 15:[4, 55, 66], Operations: ['31+35=66'] Exploring Operation: 55-4=51, Resulting Numbers: [66, 51] Generated Node #3: [66, 51] from Operation: 55-4=51 Current State: 15:[66, 51], Operations: ['31+35=66', '55-4=51'] Exploring Operation: 66-51=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 48, 19, 79, 40 ]
50
[ "79-19=60", "40*60=2400", "2400/48=50" ]
Current State: 50:[48, 19, 79, 40], Operations: [] Exploring Operation: 79-19=60, Resulting Numbers: [48, 40, 60] Generated Node #2: [48, 40, 60] from Operation: 79-19=60 Current State: 50:[48, 40, 60], Operations: ['79-19=60'] Exploring Operation: 40*60=2400, Resulting Numbers: [48, 2400] Generated Node #3: [48, 2400] from Operation: 40*60=2400 Current State: 50:[48, 2400], Operations: ['79-19=60', '40*60=2400'] Exploring Operation: 2400/48=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 5, 52, 3, 50 ]
14
[ "50/5=10", "52-10=42", "42/3=14" ]
Current State: 14:[5, 52, 3, 50], Operations: [] Exploring Operation: 50/5=10, Resulting Numbers: [52, 3, 10] Generated Node #2: [52, 3, 10] from Operation: 50/5=10 Current State: 14:[52, 3, 10], Operations: ['50/5=10'] Exploring Operation: 52-10=42, Resulting Numbers: [3, 42] Generated Node #3: [3, 42] from Operation: 52-10=42 Current State: 14:[3, 42], Operations: ['50/5=10', '52-10=42'] Exploring Operation: 42/3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 77, 32, 8, 13 ]
88
[ "77+32=109", "8+13=21", "109-21=88" ]
Current State: 88:[77, 32, 8, 13], Operations: [] Exploring Operation: 77+32=109, Resulting Numbers: [8, 13, 109] Generated Node #2: [8, 13, 109] from Operation: 77+32=109 Current State: 88:[8, 13, 109], Operations: ['77+32=109'] Exploring Operation: 8+13=21, Resulting Numbers: [109, 21] Generated Node #3: [109, 21] from Operation: 8+13=21 Current State: 88:[109, 21], Operations: ['77+32=109', '8+13=21'] Exploring Operation: 109-21=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 78, 41, 82, 50 ]
87
[ "78+41=119", "82-50=32", "119-32=87" ]
Current State: 87:[78, 41, 82, 50], Operations: [] Exploring Operation: 78+41=119, Resulting Numbers: [82, 50, 119] Generated Node #2: [82, 50, 119] from Operation: 78+41=119 Current State: 87:[82, 50, 119], Operations: ['78+41=119'] Exploring Operation: 82-50=32, Resulting Numbers: [119, 32] Generated Node #3: [119, 32] from Operation: 82-50=32 Current State: 87:[119, 32], Operations: ['78+41=119', '82-50=32'] Exploring Operation: 119-32=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 43, 53, 93, 31 ]
52
[ "53-43=10", "93-31=62", "62-10=52" ]
Current State: 52:[43, 53, 93, 31], Operations: [] Exploring Operation: 53-43=10, Resulting Numbers: [93, 31, 10] Generated Node #2: [93, 31, 10] from Operation: 53-43=10 Current State: 52:[93, 31, 10], Operations: ['53-43=10'] Exploring Operation: 93-31=62, Resulting Numbers: [10, 62] Generated Node #3: [10, 62] from Operation: 93-31=62 Current State: 52:[10, 62], Operations: ['53-43=10', '93-31=62'] Exploring Operation: 62-10=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 2, 17, 70, 49 ]
73
[ "2+49=51", "51/17=3", "70+3=73" ]
Current State: 73:[2, 17, 70, 49], Operations: [] Exploring Operation: 2+49=51, Resulting Numbers: [17, 70, 51] Generated Node #2: [17, 70, 51] from Operation: 2+49=51 Current State: 73:[17, 70, 51], Operations: ['2+49=51'] Exploring Operation: 51/17=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 51/17=3 Current State: 73:[70, 3], Operations: ['2+49=51', '51/17=3'] Exploring Operation: 70+3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 70, 63, 79, 9 ]
95
[ "70-63=7", "79+9=88", "7+88=95" ]
Current State: 95:[70, 63, 79, 9], Operations: [] Exploring Operation: 70-63=7, Resulting Numbers: [79, 9, 7] Generated Node #2: [79, 9, 7] from Operation: 70-63=7 Current State: 95:[79, 9, 7], Operations: ['70-63=7'] Exploring Operation: 79+9=88, Resulting Numbers: [7, 88] Generated Node #3: [7, 88] from Operation: 79+9=88 Current State: 95:[7, 88], Operations: ['70-63=7', '79+9=88'] Exploring Operation: 7+88=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 93, 89, 26, 25 ]
79
[ "93-89=4", "26*4=104", "104-25=79" ]
Current State: 79:[93, 89, 26, 25], Operations: [] Exploring Operation: 93-89=4, Resulting Numbers: [26, 25, 4] Generated Node #2: [26, 25, 4] from Operation: 93-89=4 Current State: 79:[26, 25, 4], Operations: ['93-89=4'] Exploring Operation: 26*4=104, Resulting Numbers: [25, 104] Generated Node #3: [25, 104] from Operation: 26*4=104 Current State: 79:[25, 104], Operations: ['93-89=4', '26*4=104'] Exploring Operation: 104-25=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 49, 57, 40, 99 ]
47
[ "49+57=106", "99-40=59", "106-59=47" ]
Current State: 47:[49, 57, 40, 99], Operations: [] Exploring Operation: 49+57=106, Resulting Numbers: [40, 99, 106] Generated Node #2: [40, 99, 106] from Operation: 49+57=106 Current State: 47:[40, 99, 106], Operations: ['49+57=106'] Exploring Operation: 99-40=59, Resulting Numbers: [106, 59] Generated Node #3: [106, 59] from Operation: 99-40=59 Current State: 47:[106, 59], Operations: ['49+57=106', '99-40=59'] Exploring Operation: 106-59=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 89, 43, 32, 43 ]
32
[ "43-43=0", "89*0=0", "32+0=32" ]
Current State: 32:[89, 43, 32, 43], Operations: [] Exploring Operation: 43-43=0, Resulting Numbers: [89, 32, 0] Generated Node #2: [89, 32, 0] from Operation: 43-43=0 Current State: 32:[89, 32, 0], Operations: ['43-43=0'] Exploring Operation: 89*0=0, Resulting Numbers: [32, 0] Generated Node #3: [32, 0] from Operation: 89*0=0 Current State: 32:[32, 0], Operations: ['43-43=0', '89*0=0'] Exploring Operation: 32+0=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 56, 14, 26, 5 ]
26
[ "56/14=4", "5-4=1", "26*1=26" ]
Current State: 26:[56, 14, 26, 5], Operations: [] Exploring Operation: 56/14=4, Resulting Numbers: [26, 5, 4] Generated Node #2: [26, 5, 4] from Operation: 56/14=4 Current State: 26:[26, 5, 4], Operations: ['56/14=4'] Exploring Operation: 5-4=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 5-4=1 Current State: 26:[26, 1], Operations: ['56/14=4', '5-4=1'] Exploring Operation: 26*1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 26, 76, 34, 86 ]
83
[ "26+76=102", "102/34=3", "86-3=83" ]
Current State: 83:[26, 76, 34, 86], Operations: [] Exploring Operation: 26+76=102, Resulting Numbers: [34, 86, 102] Generated Node #2: [34, 86, 102] from Operation: 26+76=102 Current State: 83:[34, 86, 102], Operations: ['26+76=102'] Exploring Operation: 102/34=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 102/34=3 Current State: 83:[86, 3], Operations: ['26+76=102', '102/34=3'] Exploring Operation: 86-3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 83, 92, 92, 4 ]
83
[ "92-92=0", "4*0=0", "83+0=83" ]
Current State: 83:[83, 92, 92, 4], Operations: [] Exploring Operation: 92-92=0, Resulting Numbers: [83, 4, 0] Generated Node #2: [83, 4, 0] from Operation: 92-92=0 Current State: 83:[83, 4, 0], Operations: ['92-92=0'] Exploring Operation: 4*0=0, Resulting Numbers: [83, 0] Generated Node #3: [83, 0] from Operation: 4*0=0 Current State: 83:[83, 0], Operations: ['92-92=0', '4*0=0'] Exploring Operation: 83+0=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 51, 67, 24, 71 ]
63
[ "67-51=16", "71-24=47", "16+47=63" ]
Current State: 63:[51, 67, 24, 71], Operations: [] Exploring Operation: 67-51=16, Resulting Numbers: [24, 71, 16] Generated Node #2: [24, 71, 16] from Operation: 67-51=16 Current State: 63:[24, 71, 16], Operations: ['67-51=16'] Exploring Operation: 71-24=47, Resulting Numbers: [16, 47] Generated Node #3: [16, 47] from Operation: 71-24=47 Current State: 63:[16, 47], Operations: ['67-51=16', '71-24=47'] Exploring Operation: 16+47=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 22, 25, 47, 61 ]
60
[ "22+25=47", "47/47=1", "61-1=60" ]
Current State: 60:[22, 25, 47, 61], Operations: [] Exploring Operation: 22+25=47, Resulting Numbers: [47, 61, 47] Generated Node #2: [47, 61, 47] from Operation: 22+25=47 Current State: 60:[47, 61, 47], Operations: ['22+25=47'] Exploring Operation: 47/47=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 47/47=1 Current State: 60:[61, 1], Operations: ['22+25=47', '47/47=1'] Exploring Operation: 61-1=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 31, 12, 3, 60 ]
12
[ "12*3=36", "36-31=5", "60/5=12" ]
Current State: 12:[31, 12, 3, 60], Operations: [] Exploring Operation: 12*3=36, Resulting Numbers: [31, 60, 36] Generated Node #2: [31, 60, 36] from Operation: 12*3=36 Current State: 12:[31, 60, 36], Operations: ['12*3=36'] Exploring Operation: 36-31=5, Resulting Numbers: [60, 5] Generated Node #3: [60, 5] from Operation: 36-31=5 Current State: 12:[60, 5], Operations: ['12*3=36', '36-31=5'] Exploring Operation: 60/5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 60, 90, 84, 54 ]
12
[ "60+90=150", "84+54=138", "150-138=12" ]
Current State: 12:[60, 90, 84, 54], Operations: [] Exploring Operation: 60+90=150, Resulting Numbers: [84, 54, 150] Generated Node #2: [84, 54, 150] from Operation: 60+90=150 Current State: 12:[84, 54, 150], Operations: ['60+90=150'] Exploring Operation: 84+54=138, Resulting Numbers: [150, 138] Generated Node #3: [150, 138] from Operation: 84+54=138 Current State: 12:[150, 138], Operations: ['60+90=150', '84+54=138'] Exploring Operation: 150-138=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 66, 95, 54, 4 ]
36
[ "66*54=3564", "95+4=99", "3564/99=36" ]
Current State: 36:[66, 95, 54, 4], Operations: [] Exploring Operation: 66*54=3564, Resulting Numbers: [95, 4, 3564] Generated Node #2: [95, 4, 3564] from Operation: 66*54=3564 Current State: 36:[95, 4, 3564], Operations: ['66*54=3564'] Exploring Operation: 95+4=99, Resulting Numbers: [3564, 99] Generated Node #3: [3564, 99] from Operation: 95+4=99 Current State: 36:[3564, 99], Operations: ['66*54=3564', '95+4=99'] Exploring Operation: 3564/99=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 70, 95, 34, 15 ]
74
[ "95-70=25", "34+15=49", "25+49=74" ]
Current State: 74:[70, 95, 34, 15], Operations: [] Exploring Operation: 95-70=25, Resulting Numbers: [34, 15, 25] Generated Node #2: [34, 15, 25] from Operation: 95-70=25 Current State: 74:[34, 15, 25], Operations: ['95-70=25'] Exploring Operation: 34+15=49, Resulting Numbers: [25, 49] Generated Node #3: [25, 49] from Operation: 34+15=49 Current State: 74:[25, 49], Operations: ['95-70=25', '34+15=49'] Exploring Operation: 25+49=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 70, 18, 82, 44 ]
63
[ "82+44=126", "126/18=7", "70-7=63" ]
Current State: 63:[70, 18, 82, 44], Operations: [] Exploring Operation: 82+44=126, Resulting Numbers: [70, 18, 126] Generated Node #2: [70, 18, 126] from Operation: 82+44=126 Current State: 63:[70, 18, 126], Operations: ['82+44=126'] Exploring Operation: 126/18=7, Resulting Numbers: [70, 7] Generated Node #3: [70, 7] from Operation: 126/18=7 Current State: 63:[70, 7], Operations: ['82+44=126', '126/18=7'] Exploring Operation: 70-7=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 3, 77, 41, 7 ]
46
[ "3+77=80", "41-7=34", "80-34=46" ]
Current State: 46:[3, 77, 41, 7], Operations: [] Exploring Operation: 3+77=80, Resulting Numbers: [41, 7, 80] Generated Node #2: [41, 7, 80] from Operation: 3+77=80 Current State: 46:[41, 7, 80], Operations: ['3+77=80'] Exploring Operation: 41-7=34, Resulting Numbers: [80, 34] Generated Node #3: [80, 34] from Operation: 41-7=34 Current State: 46:[80, 34], Operations: ['3+77=80', '41-7=34'] Exploring Operation: 80-34=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4