Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 46, 48, 59, 72 ]
50
[ "46+72=118", "118/59=2", "48+2=50" ]
Current State: 50:[46, 48, 59, 72], Operations: [] Exploring Operation: 46+72=118, Resulting Numbers: [48, 59, 118] Generated Node #2: [48, 59, 118] from Operation: 46+72=118 Current State: 50:[48, 59, 118], Operations: ['46+72=118'] Exploring Operation: 118/59=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 118/59=2 Current State: 50:[48, 2], Operations: ['46+72=118', '118/59=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 35, 32, 78, 96 ]
21
[ "35-32=3", "96-78=18", "3+18=21" ]
Current State: 21:[35, 32, 78, 96], Operations: [] Exploring Operation: 35-32=3, Resulting Numbers: [78, 96, 3] Generated Node #2: [78, 96, 3] from Operation: 35-32=3 Current State: 21:[78, 96, 3], Operations: ['35-32=3'] Exploring Operation: 96-78=18, Resulting Numbers: [3, 18] Generated Node #3: [3, 18] from Operation: 96-78=18 Current State: 21:[3, 18], Operations: ['35-32=3', '96-78=18'] Exploring Operation: 3+18=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 66, 20, 4, 66 ]
52
[ "66+66=132", "20*4=80", "132-80=52" ]
Current State: 52:[66, 20, 4, 66], Operations: [] Exploring Operation: 66+66=132, Resulting Numbers: [20, 4, 132] Generated Node #2: [20, 4, 132] from Operation: 66+66=132 Current State: 52:[20, 4, 132], Operations: ['66+66=132'] Exploring Operation: 20*4=80, Resulting Numbers: [132, 80] Generated Node #3: [132, 80] from Operation: 20*4=80 Current State: 52:[132, 80], Operations: ['66+66=132', '20*4=80'] Exploring Operation: 132-80=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 65, 45, 17, 50 ]
90
[ "65-17=48", "50-48=2", "45*2=90" ]
Current State: 90:[65, 45, 17, 50], Operations: [] Exploring Operation: 65-17=48, Resulting Numbers: [45, 50, 48] Generated Node #2: [45, 50, 48] from Operation: 65-17=48 Current State: 90:[45, 50, 48], Operations: ['65-17=48'] Exploring Operation: 50-48=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 50-48=2 Current State: 90:[45, 2], Operations: ['65-17=48', '50-48=2'] Exploring Operation: 45*2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 85, 94, 9, 80 ]
11
[ "85+94=179", "179-80=99", "99/9=11" ]
Current State: 11:[85, 94, 9, 80], Operations: [] Exploring Operation: 85+94=179, Resulting Numbers: [9, 80, 179] Generated Node #2: [9, 80, 179] from Operation: 85+94=179 Current State: 11:[9, 80, 179], Operations: ['85+94=179'] Exploring Operation: 179-80=99, Resulting Numbers: [9, 99] Generated Node #3: [9, 99] from Operation: 179-80=99 Current State: 11:[9, 99], Operations: ['85+94=179', '179-80=99'] Exploring Operation: 99/9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 98, 40, 4, 72 ]
62
[ "98+40=138", "4+72=76", "138-76=62" ]
Current State: 62:[98, 40, 4, 72], Operations: [] Exploring Operation: 98+40=138, Resulting Numbers: [4, 72, 138] Generated Node #2: [4, 72, 138] from Operation: 98+40=138 Current State: 62:[4, 72, 138], Operations: ['98+40=138'] Exploring Operation: 4+72=76, Resulting Numbers: [138, 76] Generated Node #3: [138, 76] from Operation: 4+72=76 Current State: 62:[138, 76], Operations: ['98+40=138', '4+72=76'] Exploring Operation: 138-76=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 65, 61, 63, 32 ]
95
[ "65+61=126", "63-32=31", "126-31=95" ]
Current State: 95:[65, 61, 63, 32], Operations: [] Exploring Operation: 65+61=126, Resulting Numbers: [63, 32, 126] Generated Node #2: [63, 32, 126] from Operation: 65+61=126 Current State: 95:[63, 32, 126], Operations: ['65+61=126'] Exploring Operation: 63-32=31, Resulting Numbers: [126, 31] Generated Node #3: [126, 31] from Operation: 63-32=31 Current State: 95:[126, 31], Operations: ['65+61=126', '63-32=31'] Exploring Operation: 126-31=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 70, 62, 5, 3 ]
79
[ "70/5=14", "62+3=65", "14+65=79" ]
Current State: 79:[70, 62, 5, 3], Operations: [] Exploring Operation: 70/5=14, Resulting Numbers: [62, 3, 14] Generated Node #2: [62, 3, 14] from Operation: 70/5=14 Current State: 79:[62, 3, 14], Operations: ['70/5=14'] Exploring Operation: 62+3=65, Resulting Numbers: [14, 65] Generated Node #3: [14, 65] from Operation: 62+3=65 Current State: 79:[14, 65], Operations: ['70/5=14', '62+3=65'] Exploring Operation: 14+65=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 27, 18, 44, 63 ]
63
[ "27+18=45", "45-44=1", "63*1=63" ]
Current State: 63:[27, 18, 44, 63], Operations: [] Exploring Operation: 27+18=45, Resulting Numbers: [44, 63, 45] Generated Node #2: [44, 63, 45] from Operation: 27+18=45 Current State: 63:[44, 63, 45], Operations: ['27+18=45'] Exploring Operation: 45-44=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 45-44=1 Current State: 63:[63, 1], Operations: ['27+18=45', '45-44=1'] Exploring Operation: 63*1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 67, 74, 70, 59 ]
32
[ "67-59=8", "74-70=4", "8*4=32" ]
Current State: 32:[67, 74, 70, 59], Operations: [] Exploring Operation: 67-59=8, Resulting Numbers: [74, 70, 8] Generated Node #2: [74, 70, 8] from Operation: 67-59=8 Current State: 32:[74, 70, 8], Operations: ['67-59=8'] Exploring Operation: 74-70=4, Resulting Numbers: [8, 4] Generated Node #3: [8, 4] from Operation: 74-70=4 Current State: 32:[8, 4], Operations: ['67-59=8', '74-70=4'] Exploring Operation: 8*4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 21, 75, 92, 3 ]
12
[ "21+75=96", "96-92=4", "3*4=12" ]
Current State: 12:[21, 75, 92, 3], Operations: [] Exploring Operation: 21+75=96, Resulting Numbers: [92, 3, 96] Generated Node #2: [92, 3, 96] from Operation: 21+75=96 Current State: 12:[92, 3, 96], Operations: ['21+75=96'] Exploring Operation: 96-92=4, Resulting Numbers: [3, 4] Generated Node #3: [3, 4] from Operation: 96-92=4 Current State: 12:[3, 4], Operations: ['21+75=96', '96-92=4'] Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 54, 62, 77, 98 ]
59
[ "54+62=116", "77+98=175", "175-116=59" ]
Current State: 59:[54, 62, 77, 98], Operations: [] Exploring Operation: 54+62=116, Resulting Numbers: [77, 98, 116] Generated Node #2: [77, 98, 116] from Operation: 54+62=116 Current State: 59:[77, 98, 116], Operations: ['54+62=116'] Exploring Operation: 77+98=175, Resulting Numbers: [116, 175] Generated Node #3: [116, 175] from Operation: 77+98=175 Current State: 59:[116, 175], Operations: ['54+62=116', '77+98=175'] Exploring Operation: 175-116=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 84, 70, 79, 41 ]
100
[ "79+41=120", "70*120=8400", "8400/84=100" ]
Current State: 100:[84, 70, 79, 41], Operations: [] Exploring Operation: 79+41=120, Resulting Numbers: [84, 70, 120] Generated Node #2: [84, 70, 120] from Operation: 79+41=120 Current State: 100:[84, 70, 120], Operations: ['79+41=120'] Exploring Operation: 70*120=8400, Resulting Numbers: [84, 8400] Generated Node #3: [84, 8400] from Operation: 70*120=8400 Current State: 100:[84, 8400], Operations: ['79+41=120', '70*120=8400'] Exploring Operation: 8400/84=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 41, 42, 60, 26 ]
38
[ "41-26=15", "60/15=4", "42-4=38" ]
Current State: 38:[41, 42, 60, 26], Operations: [] Exploring Operation: 41-26=15, Resulting Numbers: [42, 60, 15] Generated Node #2: [42, 60, 15] from Operation: 41-26=15 Current State: 38:[42, 60, 15], Operations: ['41-26=15'] Exploring Operation: 60/15=4, Resulting Numbers: [42, 4] Generated Node #3: [42, 4] from Operation: 60/15=4 Current State: 38:[42, 4], Operations: ['41-26=15', '60/15=4'] Exploring Operation: 42-4=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 38, 65, 31, 4 ]
77
[ "65-38=27", "4*27=108", "108-31=77" ]
Current State: 77:[38, 65, 31, 4], Operations: [] Exploring Operation: 65-38=27, Resulting Numbers: [31, 4, 27] Generated Node #2: [31, 4, 27] from Operation: 65-38=27 Current State: 77:[31, 4, 27], Operations: ['65-38=27'] Exploring Operation: 4*27=108, Resulting Numbers: [31, 108] Generated Node #3: [31, 108] from Operation: 4*27=108 Current State: 77:[31, 108], Operations: ['65-38=27', '4*27=108'] Exploring Operation: 108-31=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 24, 9, 94, 7 ]
71
[ "9-7=2", "94/2=47", "24+47=71" ]
Current State: 71:[24, 9, 94, 7], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [24, 94, 2] Generated Node #2: [24, 94, 2] from Operation: 9-7=2 Current State: 71:[24, 94, 2], Operations: ['9-7=2'] Exploring Operation: 94/2=47, Resulting Numbers: [24, 47] Generated Node #3: [24, 47] from Operation: 94/2=47 Current State: 71:[24, 47], Operations: ['9-7=2', '94/2=47'] Exploring Operation: 24+47=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 55, 20, 47, 79 ]
88
[ "79-47=32", "55*32=1760", "1760/20=88" ]
Current State: 88:[55, 20, 47, 79], Operations: [] Exploring Operation: 79-47=32, Resulting Numbers: [55, 20, 32] Generated Node #2: [55, 20, 32] from Operation: 79-47=32 Current State: 88:[55, 20, 32], Operations: ['79-47=32'] Exploring Operation: 55*32=1760, Resulting Numbers: [20, 1760] Generated Node #3: [20, 1760] from Operation: 55*32=1760 Current State: 88:[20, 1760], Operations: ['79-47=32', '55*32=1760'] Exploring Operation: 1760/20=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 44, 30, 35, 20 ]
90
[ "44-35=9", "30-20=10", "9*10=90" ]
Current State: 90:[44, 30, 35, 20], Operations: [] Exploring Operation: 44-35=9, Resulting Numbers: [30, 20, 9] Generated Node #2: [30, 20, 9] from Operation: 44-35=9 Current State: 90:[30, 20, 9], Operations: ['44-35=9'] Exploring Operation: 30-20=10, Resulting Numbers: [9, 10] Generated Node #3: [9, 10] from Operation: 30-20=10 Current State: 90:[9, 10], Operations: ['44-35=9', '30-20=10'] Exploring Operation: 9*10=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 78, 44, 35, 63 ]
42
[ "78*35=2730", "44*63=2772", "2772-2730=42" ]
Current State: 42:[78, 44, 35, 63], Operations: [] Exploring Operation: 78*35=2730, Resulting Numbers: [44, 63, 2730] Generated Node #2: [44, 63, 2730] from Operation: 78*35=2730 Current State: 42:[44, 63, 2730], Operations: ['78*35=2730'] Exploring Operation: 44*63=2772, Resulting Numbers: [2730, 2772] Generated Node #3: [2730, 2772] from Operation: 44*63=2772 Current State: 42:[2730, 2772], Operations: ['78*35=2730', '44*63=2772'] Exploring Operation: 2772-2730=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 5, 67, 88, 47 ]
40
[ "88+47=135", "135/5=27", "67-27=40" ]
Current State: 40:[5, 67, 88, 47], Operations: [] Exploring Operation: 88+47=135, Resulting Numbers: [5, 67, 135] Generated Node #2: [5, 67, 135] from Operation: 88+47=135 Current State: 40:[5, 67, 135], Operations: ['88+47=135'] Exploring Operation: 135/5=27, Resulting Numbers: [67, 27] Generated Node #3: [67, 27] from Operation: 135/5=27 Current State: 40:[67, 27], Operations: ['88+47=135', '135/5=27'] Exploring Operation: 67-27=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 11, 69, 48, 24 ]
40
[ "11+69=80", "48/24=2", "80/2=40" ]
Current State: 40:[11, 69, 48, 24], Operations: [] Exploring Operation: 11+69=80, Resulting Numbers: [48, 24, 80] Generated Node #2: [48, 24, 80] from Operation: 11+69=80 Current State: 40:[48, 24, 80], Operations: ['11+69=80'] Exploring Operation: 48/24=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 48/24=2 Current State: 40:[80, 2], Operations: ['11+69=80', '48/24=2'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 17, 20, 61, 89 ]
50
[ "20-17=3", "61+89=150", "150/3=50" ]
Current State: 50:[17, 20, 61, 89], Operations: [] Exploring Operation: 20-17=3, Resulting Numbers: [61, 89, 3] Generated Node #2: [61, 89, 3] from Operation: 20-17=3 Current State: 50:[61, 89, 3], Operations: ['20-17=3'] Exploring Operation: 61+89=150, Resulting Numbers: [3, 150] Generated Node #3: [3, 150] from Operation: 61+89=150 Current State: 50:[3, 150], Operations: ['20-17=3', '61+89=150'] Exploring Operation: 150/3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 53, 50, 9, 64 ]
25
[ "53+9=62", "64-62=2", "50/2=25" ]
Current State: 25:[53, 50, 9, 64], Operations: [] Exploring Operation: 53+9=62, Resulting Numbers: [50, 64, 62] Generated Node #2: [50, 64, 62] from Operation: 53+9=62 Current State: 25:[50, 64, 62], Operations: ['53+9=62'] Exploring Operation: 64-62=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 64-62=2 Current State: 25:[50, 2], Operations: ['53+9=62', '64-62=2'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 96, 6, 86, 77 ]
10
[ "96-6=90", "86-77=9", "90/9=10" ]
Current State: 10:[96, 6, 86, 77], Operations: [] Exploring Operation: 96-6=90, Resulting Numbers: [86, 77, 90] Generated Node #2: [86, 77, 90] from Operation: 96-6=90 Current State: 10:[86, 77, 90], Operations: ['96-6=90'] Exploring Operation: 86-77=9, Resulting Numbers: [90, 9] Generated Node #3: [90, 9] from Operation: 86-77=9 Current State: 10:[90, 9], Operations: ['96-6=90', '86-77=9'] Exploring Operation: 90/9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 20, 92, 38, 54 ]
47
[ "20*92=1840", "1840-54=1786", "1786/38=47" ]
Current State: 47:[20, 92, 38, 54], Operations: [] Exploring Operation: 20*92=1840, Resulting Numbers: [38, 54, 1840] Generated Node #2: [38, 54, 1840] from Operation: 20*92=1840 Current State: 47:[38, 54, 1840], Operations: ['20*92=1840'] Exploring Operation: 1840-54=1786, Resulting Numbers: [38, 1786] Generated Node #3: [38, 1786] from Operation: 1840-54=1786 Current State: 47:[38, 1786], Operations: ['20*92=1840', '1840-54=1786'] Exploring Operation: 1786/38=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 70, 58, 7, 2 ]
78
[ "70/7=10", "2*10=20", "58+20=78" ]
Current State: 78:[70, 58, 7, 2], Operations: [] Exploring Operation: 70/7=10, Resulting Numbers: [58, 2, 10] Generated Node #2: [58, 2, 10] from Operation: 70/7=10 Current State: 78:[58, 2, 10], Operations: ['70/7=10'] Exploring Operation: 2*10=20, Resulting Numbers: [58, 20] Generated Node #3: [58, 20] from Operation: 2*10=20 Current State: 78:[58, 20], Operations: ['70/7=10', '2*10=20'] Exploring Operation: 58+20=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 80, 93, 20, 1 ]
34
[ "93-80=13", "20+1=21", "13+21=34" ]
Current State: 34:[80, 93, 20, 1], Operations: [] Exploring Operation: 93-80=13, Resulting Numbers: [20, 1, 13] Generated Node #2: [20, 1, 13] from Operation: 93-80=13 Current State: 34:[20, 1, 13], Operations: ['93-80=13'] Exploring Operation: 20+1=21, Resulting Numbers: [13, 21] Generated Node #3: [13, 21] from Operation: 20+1=21 Current State: 34:[13, 21], Operations: ['93-80=13', '20+1=21'] Exploring Operation: 13+21=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 5, 35, 39, 42 ]
100
[ "42-39=3", "35*3=105", "105-5=100" ]
Current State: 100:[5, 35, 39, 42], Operations: [] Exploring Operation: 42-39=3, Resulting Numbers: [5, 35, 3] Generated Node #2: [5, 35, 3] from Operation: 42-39=3 Current State: 100:[5, 35, 3], Operations: ['42-39=3'] Exploring Operation: 35*3=105, Resulting Numbers: [5, 105] Generated Node #3: [5, 105] from Operation: 35*3=105 Current State: 100:[5, 105], Operations: ['42-39=3', '35*3=105'] Exploring Operation: 105-5=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 38, 72, 18, 35 ]
42
[ "38-35=3", "72/3=24", "18+24=42" ]
Current State: 42:[38, 72, 18, 35], Operations: [] Exploring Operation: 38-35=3, Resulting Numbers: [72, 18, 3] Generated Node #2: [72, 18, 3] from Operation: 38-35=3 Current State: 42:[72, 18, 3], Operations: ['38-35=3'] Exploring Operation: 72/3=24, Resulting Numbers: [18, 24] Generated Node #3: [18, 24] from Operation: 72/3=24 Current State: 42:[18, 24], Operations: ['38-35=3', '72/3=24'] Exploring Operation: 18+24=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 20, 40, 46, 15 ]
59
[ "40/20=2", "46+15=61", "61-2=59" ]
Current State: 59:[20, 40, 46, 15], Operations: [] Exploring Operation: 40/20=2, Resulting Numbers: [46, 15, 2] Generated Node #2: [46, 15, 2] from Operation: 40/20=2 Current State: 59:[46, 15, 2], Operations: ['40/20=2'] Exploring Operation: 46+15=61, Resulting Numbers: [2, 61] Generated Node #3: [2, 61] from Operation: 46+15=61 Current State: 59:[2, 61], Operations: ['40/20=2', '46+15=61'] Exploring Operation: 61-2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 54, 29, 3, 36 ]
48
[ "29+3=32", "54*32=1728", "1728/36=48" ]
Current State: 48:[54, 29, 3, 36], Operations: [] Exploring Operation: 29+3=32, Resulting Numbers: [54, 36, 32] Generated Node #2: [54, 36, 32] from Operation: 29+3=32 Current State: 48:[54, 36, 32], Operations: ['29+3=32'] Exploring Operation: 54*32=1728, Resulting Numbers: [36, 1728] Generated Node #3: [36, 1728] from Operation: 54*32=1728 Current State: 48:[36, 1728], Operations: ['29+3=32', '54*32=1728'] Exploring Operation: 1728/36=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 47, 54, 2, 13 ]
40
[ "54-47=7", "13+7=20", "2*20=40" ]
Current State: 40:[47, 54, 2, 13], Operations: [] Exploring Operation: 54-47=7, Resulting Numbers: [2, 13, 7] Generated Node #2: [2, 13, 7] from Operation: 54-47=7 Current State: 40:[2, 13, 7], Operations: ['54-47=7'] Exploring Operation: 13+7=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 13+7=20 Current State: 40:[2, 20], Operations: ['54-47=7', '13+7=20'] Exploring Operation: 2*20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 90, 67, 12, 19 ]
30
[ "90-67=23", "19-12=7", "23+7=30" ]
Current State: 30:[90, 67, 12, 19], Operations: [] Exploring Operation: 90-67=23, Resulting Numbers: [12, 19, 23] Generated Node #2: [12, 19, 23] from Operation: 90-67=23 Current State: 30:[12, 19, 23], Operations: ['90-67=23'] Exploring Operation: 19-12=7, Resulting Numbers: [23, 7] Generated Node #3: [23, 7] from Operation: 19-12=7 Current State: 30:[23, 7], Operations: ['90-67=23', '19-12=7'] Exploring Operation: 23+7=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 39, 93, 52, 23 ]
25
[ "93-39=54", "52-23=29", "54-29=25" ]
Current State: 25:[39, 93, 52, 23], Operations: [] Exploring Operation: 93-39=54, Resulting Numbers: [52, 23, 54] Generated Node #2: [52, 23, 54] from Operation: 93-39=54 Current State: 25:[52, 23, 54], Operations: ['93-39=54'] Exploring Operation: 52-23=29, Resulting Numbers: [54, 29] Generated Node #3: [54, 29] from Operation: 52-23=29 Current State: 25:[54, 29], Operations: ['93-39=54', '52-23=29'] Exploring Operation: 54-29=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 20, 60, 80, 46 ]
31
[ "20*60=1200", "1200/80=15", "46-15=31" ]
Current State: 31:[20, 60, 80, 46], Operations: [] Exploring Operation: 20*60=1200, Resulting Numbers: [80, 46, 1200] Generated Node #2: [80, 46, 1200] from Operation: 20*60=1200 Current State: 31:[80, 46, 1200], Operations: ['20*60=1200'] Exploring Operation: 1200/80=15, Resulting Numbers: [46, 15] Generated Node #3: [46, 15] from Operation: 1200/80=15 Current State: 31:[46, 15], Operations: ['20*60=1200', '1200/80=15'] Exploring Operation: 46-15=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 6, 87, 99, 3 ]
52
[ "6+99=105", "105/3=35", "87-35=52" ]
Current State: 52:[6, 87, 99, 3], Operations: [] Exploring Operation: 6+99=105, Resulting Numbers: [87, 3, 105] Generated Node #2: [87, 3, 105] from Operation: 6+99=105 Current State: 52:[87, 3, 105], Operations: ['6+99=105'] Exploring Operation: 105/3=35, Resulting Numbers: [87, 35] Generated Node #3: [87, 35] from Operation: 105/3=35 Current State: 52:[87, 35], Operations: ['6+99=105', '105/3=35'] Exploring Operation: 87-35=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 58, 20, 48, 38 ]
19
[ "58-48=10", "20/10=2", "38/2=19" ]
Current State: 19:[58, 20, 48, 38], Operations: [] Exploring Operation: 58-48=10, Resulting Numbers: [20, 38, 10] Generated Node #2: [20, 38, 10] from Operation: 58-48=10 Current State: 19:[20, 38, 10], Operations: ['58-48=10'] Exploring Operation: 20/10=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 20/10=2 Current State: 19:[38, 2], Operations: ['58-48=10', '20/10=2'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 22, 14, 11, 77 ]
74
[ "22-14=8", "77-11=66", "8+66=74" ]
Current State: 74:[22, 14, 11, 77], Operations: [] Exploring Operation: 22-14=8, Resulting Numbers: [11, 77, 8] Generated Node #2: [11, 77, 8] from Operation: 22-14=8 Current State: 74:[11, 77, 8], Operations: ['22-14=8'] Exploring Operation: 77-11=66, Resulting Numbers: [8, 66] Generated Node #3: [8, 66] from Operation: 77-11=66 Current State: 74:[8, 66], Operations: ['22-14=8', '77-11=66'] Exploring Operation: 8+66=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 98, 42, 21, 42 ]
77
[ "98+42=140", "21+42=63", "140-63=77" ]
Current State: 77:[98, 42, 21, 42], Operations: [] Exploring Operation: 98+42=140, Resulting Numbers: [21, 140] Generated Node #2: [21, 140] from Operation: 98+42=140 Current State: 77:[21, 140], Operations: ['98+42=140'] Exploring Operation: 21+42=63, Resulting Numbers: [140, 63] Generated Node #3: [140, 63] from Operation: 21+42=63 Current State: 77:[140, 63], Operations: ['98+42=140', '21+42=63'] Exploring Operation: 140-63=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 93, 86, 6, 29 ]
42
[ "93-86=7", "6+29=35", "7+35=42" ]
Current State: 42:[93, 86, 6, 29], Operations: [] Exploring Operation: 93-86=7, Resulting Numbers: [6, 29, 7] Generated Node #2: [6, 29, 7] from Operation: 93-86=7 Current State: 42:[6, 29, 7], Operations: ['93-86=7'] Exploring Operation: 6+29=35, Resulting Numbers: [7, 35] Generated Node #3: [7, 35] from Operation: 6+29=35 Current State: 42:[7, 35], Operations: ['93-86=7', '6+29=35'] Exploring Operation: 7+35=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 42, 32, 42, 4 ]
96
[ "42/42=1", "4-1=3", "32*3=96" ]
Current State: 96:[42, 32, 42, 4], Operations: [] Exploring Operation: 42/42=1, Resulting Numbers: [32, 4, 1] Generated Node #2: [32, 4, 1] from Operation: 42/42=1 Current State: 96:[32, 4, 1], Operations: ['42/42=1'] Exploring Operation: 4-1=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 4-1=3 Current State: 96:[32, 3], Operations: ['42/42=1', '4-1=3'] Exploring Operation: 32*3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 33, 41, 85, 8 ]
85
[ "41-33=8", "85+8=93", "93-8=85" ]
Current State: 85:[33, 41, 85, 8], Operations: [] Exploring Operation: 41-33=8, Resulting Numbers: [85, 8, 8] Generated Node #2: [85, 8, 8] from Operation: 41-33=8 Current State: 85:[85, 8, 8], Operations: ['41-33=8'] Exploring Operation: 85+8=93, Resulting Numbers: [93] 93,85 equal: Goal Reached Exploring Operation: 93-8=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 11, 78, 36, 41 ]
23
[ "41-36=5", "11*5=55", "78-55=23" ]
Current State: 23:[11, 78, 36, 41], Operations: [] Exploring Operation: 41-36=5, Resulting Numbers: [11, 78, 5] Generated Node #2: [11, 78, 5] from Operation: 41-36=5 Current State: 23:[11, 78, 5], Operations: ['41-36=5'] Exploring Operation: 11*5=55, Resulting Numbers: [78, 55] Generated Node #3: [78, 55] from Operation: 11*5=55 Current State: 23:[78, 55], Operations: ['41-36=5', '11*5=55'] Exploring Operation: 78-55=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 43, 74, 93, 74 ]
43
[ "74-74=0", "93*0=0", "43+0=43" ]
Current State: 43:[43, 74, 93, 74], Operations: [] Exploring Operation: 74-74=0, Resulting Numbers: [43, 93, 0] Generated Node #2: [43, 93, 0] from Operation: 74-74=0 Current State: 43:[43, 93, 0], Operations: ['74-74=0'] Exploring Operation: 93*0=0, Resulting Numbers: [43, 0] Generated Node #3: [43, 0] from Operation: 93*0=0 Current State: 43:[43, 0], Operations: ['74-74=0', '93*0=0'] Exploring Operation: 43+0=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 24, 52, 79, 4 ]
81
[ "52-4=48", "48/24=2", "79+2=81" ]
Current State: 81:[24, 52, 79, 4], Operations: [] Exploring Operation: 52-4=48, Resulting Numbers: [24, 79, 48] Generated Node #2: [24, 79, 48] from Operation: 52-4=48 Current State: 81:[24, 79, 48], Operations: ['52-4=48'] Exploring Operation: 48/24=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 48/24=2 Current State: 81:[79, 2], Operations: ['52-4=48', '48/24=2'] Exploring Operation: 79+2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 75, 9, 86, 87 ]
67
[ "75-9=66", "87-86=1", "66+1=67" ]
Current State: 67:[75, 9, 86, 87], Operations: [] Exploring Operation: 75-9=66, Resulting Numbers: [86, 87, 66] Generated Node #2: [86, 87, 66] from Operation: 75-9=66 Current State: 67:[86, 87, 66], Operations: ['75-9=66'] Exploring Operation: 87-86=1, Resulting Numbers: [66, 1] Generated Node #3: [66, 1] from Operation: 87-86=1 Current State: 67:[66, 1], Operations: ['75-9=66', '87-86=1'] Exploring Operation: 66+1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 62, 25, 41, 10 ]
14
[ "62-25=37", "41+10=51", "51-37=14" ]
Current State: 14:[62, 25, 41, 10], Operations: [] Exploring Operation: 62-25=37, Resulting Numbers: [41, 10, 37] Generated Node #2: [41, 10, 37] from Operation: 62-25=37 Current State: 14:[41, 10, 37], Operations: ['62-25=37'] Exploring Operation: 41+10=51, Resulting Numbers: [37, 51] Generated Node #3: [37, 51] from Operation: 41+10=51 Current State: 14:[37, 51], Operations: ['62-25=37', '41+10=51'] Exploring Operation: 51-37=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 48, 34, 46, 1 ]
69
[ "48-46=2", "34*2=68", "1+68=69" ]
Current State: 69:[48, 34, 46, 1], Operations: [] Exploring Operation: 48-46=2, Resulting Numbers: [34, 1, 2] Generated Node #2: [34, 1, 2] from Operation: 48-46=2 Current State: 69:[34, 1, 2], Operations: ['48-46=2'] Exploring Operation: 34*2=68, Resulting Numbers: [1, 68] Generated Node #3: [1, 68] from Operation: 34*2=68 Current State: 69:[1, 68], Operations: ['48-46=2', '34*2=68'] Exploring Operation: 1+68=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 15, 2, 71, 65 ]
83
[ "71+65=136", "136/2=68", "15+68=83" ]
Current State: 83:[15, 2, 71, 65], Operations: [] Exploring Operation: 71+65=136, Resulting Numbers: [15, 2, 136] Generated Node #2: [15, 2, 136] from Operation: 71+65=136 Current State: 83:[15, 2, 136], Operations: ['71+65=136'] Exploring Operation: 136/2=68, Resulting Numbers: [15, 68] Generated Node #3: [15, 68] from Operation: 136/2=68 Current State: 83:[15, 68], Operations: ['71+65=136', '136/2=68'] Exploring Operation: 15+68=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 89, 83, 86, 26 ]
28
[ "89+83=172", "172/86=2", "26+2=28" ]
Current State: 28:[89, 83, 86, 26], Operations: [] Exploring Operation: 89+83=172, Resulting Numbers: [86, 26, 172] Generated Node #2: [86, 26, 172] from Operation: 89+83=172 Current State: 28:[86, 26, 172], Operations: ['89+83=172'] Exploring Operation: 172/86=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 172/86=2 Current State: 28:[26, 2], Operations: ['89+83=172', '172/86=2'] Exploring Operation: 26+2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 1, 2, 78, 5 ]
25
[ "5-2=3", "78/3=26", "26-1=25" ]
Current State: 25:[1, 2, 78, 5], Operations: [] Exploring Operation: 5-2=3, Resulting Numbers: [1, 78, 3] Generated Node #2: [1, 78, 3] from Operation: 5-2=3 Current State: 25:[1, 78, 3], Operations: ['5-2=3'] Exploring Operation: 78/3=26, Resulting Numbers: [1, 26] Generated Node #3: [1, 26] from Operation: 78/3=26 Current State: 25:[1, 26], Operations: ['5-2=3', '78/3=26'] Exploring Operation: 26-1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 95, 33, 7, 99 ]
11
[ "95+7=102", "102-99=3", "33/3=11" ]
Current State: 11:[95, 33, 7, 99], Operations: [] Exploring Operation: 95+7=102, Resulting Numbers: [33, 99, 102] Generated Node #2: [33, 99, 102] from Operation: 95+7=102 Current State: 11:[33, 99, 102], Operations: ['95+7=102'] Exploring Operation: 102-99=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 102-99=3 Current State: 11:[33, 3], Operations: ['95+7=102', '102-99=3'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 1, 39, 1, 25 ]
62
[ "39-1=38", "25-1=24", "38+24=62" ]
Current State: 62:[1, 39, 1, 25], Operations: [] Exploring Operation: 39-1=38, Resulting Numbers: [25, 38] Generated Node #2: [25, 38] from Operation: 39-1=38 Current State: 62:[25, 38], Operations: ['39-1=38'] Exploring Operation: 25-1=24, Resulting Numbers: [38, 24] Generated Node #3: [38, 24] from Operation: 25-1=24 Current State: 62:[38, 24], Operations: ['39-1=38', '25-1=24'] Exploring Operation: 38+24=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 24, 95, 98, 96 ]
73
[ "95-24=71", "98-96=2", "71+2=73" ]
Current State: 73:[24, 95, 98, 96], Operations: [] Exploring Operation: 95-24=71, Resulting Numbers: [98, 96, 71] Generated Node #2: [98, 96, 71] from Operation: 95-24=71 Current State: 73:[98, 96, 71], Operations: ['95-24=71'] Exploring Operation: 98-96=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 98-96=2 Current State: 73:[71, 2], Operations: ['95-24=71', '98-96=2'] Exploring Operation: 71+2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 75, 38, 22, 3 ]
94
[ "75+38=113", "22-3=19", "113-19=94" ]
Current State: 94:[75, 38, 22, 3], Operations: [] Exploring Operation: 75+38=113, Resulting Numbers: [22, 3, 113] Generated Node #2: [22, 3, 113] from Operation: 75+38=113 Current State: 94:[22, 3, 113], Operations: ['75+38=113'] Exploring Operation: 22-3=19, Resulting Numbers: [113, 19] Generated Node #3: [113, 19] from Operation: 22-3=19 Current State: 94:[113, 19], Operations: ['75+38=113', '22-3=19'] Exploring Operation: 113-19=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 86, 43, 34, 18 ]
27
[ "86-43=43", "34-18=16", "43-16=27" ]
Current State: 27:[86, 43, 34, 18], Operations: [] Exploring Operation: 86-43=43, Resulting Numbers: [34, 18, 43] Generated Node #2: [34, 18, 43] from Operation: 86-43=43 Current State: 27:[34, 18, 43], Operations: ['86-43=43'] Exploring Operation: 34-18=16, Resulting Numbers: [43, 16] Generated Node #3: [43, 16] from Operation: 34-18=16 Current State: 27:[43, 16], Operations: ['86-43=43', '34-18=16'] Exploring Operation: 43-16=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 5, 52, 56, 90 ]
99
[ "52-5=47", "56+90=146", "146-47=99" ]
Current State: 99:[5, 52, 56, 90], Operations: [] Exploring Operation: 52-5=47, Resulting Numbers: [56, 90, 47] Generated Node #2: [56, 90, 47] from Operation: 52-5=47 Current State: 99:[56, 90, 47], Operations: ['52-5=47'] Exploring Operation: 56+90=146, Resulting Numbers: [47, 146] Generated Node #3: [47, 146] from Operation: 56+90=146 Current State: 99:[47, 146], Operations: ['52-5=47', '56+90=146'] Exploring Operation: 146-47=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 18, 68, 64, 8 ]
50
[ "68-64=4", "8*4=32", "18+32=50" ]
Current State: 50:[18, 68, 64, 8], Operations: [] Exploring Operation: 68-64=4, Resulting Numbers: [18, 8, 4] Generated Node #2: [18, 8, 4] from Operation: 68-64=4 Current State: 50:[18, 8, 4], Operations: ['68-64=4'] Exploring Operation: 8*4=32, Resulting Numbers: [18, 32] Generated Node #3: [18, 32] from Operation: 8*4=32 Current State: 50:[18, 32], Operations: ['68-64=4', '8*4=32'] Exploring Operation: 18+32=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 16, 40, 13, 48 ]
56
[ "16-13=3", "48/3=16", "40+16=56" ]
Current State: 56:[16, 40, 13, 48], Operations: [] Exploring Operation: 16-13=3, Resulting Numbers: [40, 48, 3] Generated Node #2: [40, 48, 3] from Operation: 16-13=3 Current State: 56:[40, 48, 3], Operations: ['16-13=3'] Exploring Operation: 48/3=16, Resulting Numbers: [40, 16] Generated Node #3: [40, 16] from Operation: 48/3=16 Current State: 56:[40, 16], Operations: ['16-13=3', '48/3=16'] Exploring Operation: 40+16=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 9, 20, 9, 90 ]
69
[ "9/9=1", "90-20=70", "70-1=69" ]
Current State: 69:[9, 20, 9, 90], Operations: [] Exploring Operation: 9/9=1, Resulting Numbers: [20, 90, 1] Generated Node #2: [20, 90, 1] from Operation: 9/9=1 Current State: 69:[20, 90, 1], Operations: ['9/9=1'] Exploring Operation: 90-20=70, Resulting Numbers: [1, 70] Generated Node #3: [1, 70] from Operation: 90-20=70 Current State: 69:[1, 70], Operations: ['9/9=1', '90-20=70'] Exploring Operation: 70-1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 14, 41, 75, 73 ]
53
[ "14+41=55", "75-73=2", "55-2=53" ]
Current State: 53:[14, 41, 75, 73], Operations: [] Exploring Operation: 14+41=55, Resulting Numbers: [75, 73, 55] Generated Node #2: [75, 73, 55] from Operation: 14+41=55 Current State: 53:[75, 73, 55], Operations: ['14+41=55'] Exploring Operation: 75-73=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 75-73=2 Current State: 53:[55, 2], Operations: ['14+41=55', '75-73=2'] Exploring Operation: 55-2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 36, 66, 18, 10 ]
71
[ "36/18=2", "10/2=5", "66+5=71" ]
Current State: 71:[36, 66, 18, 10], Operations: [] Exploring Operation: 36/18=2, Resulting Numbers: [66, 10, 2] Generated Node #2: [66, 10, 2] from Operation: 36/18=2 Current State: 71:[66, 10, 2], Operations: ['36/18=2'] Exploring Operation: 10/2=5, Resulting Numbers: [66, 5] Generated Node #3: [66, 5] from Operation: 10/2=5 Current State: 71:[66, 5], Operations: ['36/18=2', '10/2=5'] Exploring Operation: 66+5=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 91, 2, 42, 86 ]
26
[ "91-86=5", "42/2=21", "5+21=26" ]
Current State: 26:[91, 2, 42, 86], Operations: [] Exploring Operation: 91-86=5, Resulting Numbers: [2, 42, 5] Generated Node #2: [2, 42, 5] from Operation: 91-86=5 Current State: 26:[2, 42, 5], Operations: ['91-86=5'] Exploring Operation: 42/2=21, Resulting Numbers: [5, 21] Generated Node #3: [5, 21] from Operation: 42/2=21 Current State: 26:[5, 21], Operations: ['91-86=5', '42/2=21'] Exploring Operation: 5+21=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 4, 8, 25, 20 ]
28
[ "4+20=24", "24/8=3", "25+3=28" ]
Current State: 28:[4, 8, 25, 20], Operations: [] Exploring Operation: 4+20=24, Resulting Numbers: [8, 25, 24] Generated Node #2: [8, 25, 24] from Operation: 4+20=24 Current State: 28:[8, 25, 24], Operations: ['4+20=24'] Exploring Operation: 24/8=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 24/8=3 Current State: 28:[25, 3], Operations: ['4+20=24', '24/8=3'] Exploring Operation: 25+3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 25, 18, 22, 10 ]
24
[ "25-22=3", "18-10=8", "3*8=24" ]
Current State: 24:[25, 18, 22, 10], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [18, 10, 3] Generated Node #2: [18, 10, 3] from Operation: 25-22=3 Current State: 24:[18, 10, 3], Operations: ['25-22=3'] Exploring Operation: 18-10=8, Resulting Numbers: [3, 8] Generated Node #3: [3, 8] from Operation: 18-10=8 Current State: 24:[3, 8], Operations: ['25-22=3', '18-10=8'] Exploring Operation: 3*8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 69, 49, 34, 3 ]
16
[ "69+49=118", "34*3=102", "118-102=16" ]
Current State: 16:[69, 49, 34, 3], Operations: [] Exploring Operation: 69+49=118, Resulting Numbers: [34, 3, 118] Generated Node #2: [34, 3, 118] from Operation: 69+49=118 Current State: 16:[34, 3, 118], Operations: ['69+49=118'] Exploring Operation: 34*3=102, Resulting Numbers: [118, 102] Generated Node #3: [118, 102] from Operation: 34*3=102 Current State: 16:[118, 102], Operations: ['69+49=118', '34*3=102'] Exploring Operation: 118-102=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 88, 37, 44, 45 ]
16
[ "88/44=2", "45-37=8", "2*8=16" ]
Current State: 16:[88, 37, 44, 45], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [37, 45, 2] Generated Node #2: [37, 45, 2] from Operation: 88/44=2 Current State: 16:[37, 45, 2], Operations: ['88/44=2'] Exploring Operation: 45-37=8, Resulting Numbers: [2, 8] Generated Node #3: [2, 8] from Operation: 45-37=8 Current State: 16:[2, 8], Operations: ['88/44=2', '45-37=8'] Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 85, 43, 76, 81 ]
96
[ "85-81=4", "43*4=172", "172-76=96" ]
Current State: 96:[85, 43, 76, 81], Operations: [] Exploring Operation: 85-81=4, Resulting Numbers: [43, 76, 4] Generated Node #2: [43, 76, 4] from Operation: 85-81=4 Current State: 96:[43, 76, 4], Operations: ['85-81=4'] Exploring Operation: 43*4=172, Resulting Numbers: [76, 172] Generated Node #3: [76, 172] from Operation: 43*4=172 Current State: 96:[76, 172], Operations: ['85-81=4', '43*4=172'] Exploring Operation: 172-76=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 73, 3, 67, 99 ]
38
[ "73-3=70", "99-67=32", "70-32=38" ]
Current State: 38:[73, 3, 67, 99], Operations: [] Exploring Operation: 73-3=70, Resulting Numbers: [67, 99, 70] Generated Node #2: [67, 99, 70] from Operation: 73-3=70 Current State: 38:[67, 99, 70], Operations: ['73-3=70'] Exploring Operation: 99-67=32, Resulting Numbers: [70, 32] Generated Node #3: [70, 32] from Operation: 99-67=32 Current State: 38:[70, 32], Operations: ['73-3=70', '99-67=32'] Exploring Operation: 70-32=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 4, 26, 26, 98 ]
44
[ "98-26=72", "72/4=18", "26+18=44" ]
Current State: 44:[4, 26, 26, 98], Operations: [] Exploring Operation: 98-26=72, Resulting Numbers: [4, 72] Generated Node #2: [4, 72] from Operation: 98-26=72 Current State: 44:[4, 72], Operations: ['98-26=72'] Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,44 equal: Goal Reached Exploring Operation: 26+18=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 87, 21, 84, 18 ]
11
[ "87-84=3", "21/3=7", "18-7=11" ]
Current State: 11:[87, 21, 84, 18], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [21, 18, 3] Generated Node #2: [21, 18, 3] from Operation: 87-84=3 Current State: 11:[21, 18, 3], Operations: ['87-84=3'] Exploring Operation: 21/3=7, Resulting Numbers: [18, 7] Generated Node #3: [18, 7] from Operation: 21/3=7 Current State: 11:[18, 7], Operations: ['87-84=3', '21/3=7'] Exploring Operation: 18-7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 32, 11, 35, 75 ]
33
[ "75-11=64", "64/32=2", "35-2=33" ]
Current State: 33:[32, 11, 35, 75], Operations: [] Exploring Operation: 75-11=64, Resulting Numbers: [32, 35, 64] Generated Node #2: [32, 35, 64] from Operation: 75-11=64 Current State: 33:[32, 35, 64], Operations: ['75-11=64'] Exploring Operation: 64/32=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 64/32=2 Current State: 33:[35, 2], Operations: ['75-11=64', '64/32=2'] Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 44, 64, 44, 99 ]
72
[ "44+44=88", "64*99=6336", "6336/88=72" ]
Current State: 72:[44, 64, 44, 99], Operations: [] Exploring Operation: 44+44=88, Resulting Numbers: [64, 99, 88] Generated Node #2: [64, 99, 88] from Operation: 44+44=88 Current State: 72:[64, 99, 88], Operations: ['44+44=88'] Exploring Operation: 64*99=6336, Resulting Numbers: [88, 6336] Generated Node #3: [88, 6336] from Operation: 64*99=6336 Current State: 72:[88, 6336], Operations: ['44+44=88', '64*99=6336'] Exploring Operation: 6336/88=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 2, 91, 99, 75 ]
85
[ "91-2=89", "99+75=174", "174-89=85" ]
Current State: 85:[2, 91, 99, 75], Operations: [] Exploring Operation: 91-2=89, Resulting Numbers: [99, 75, 89] Generated Node #2: [99, 75, 89] from Operation: 91-2=89 Current State: 85:[99, 75, 89], Operations: ['91-2=89'] Exploring Operation: 99+75=174, Resulting Numbers: [89, 174] Generated Node #3: [89, 174] from Operation: 99+75=174 Current State: 85:[89, 174], Operations: ['91-2=89', '99+75=174'] Exploring Operation: 174-89=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 5, 36, 11, 49 ]
44
[ "36-11=25", "25/5=5", "49-5=44" ]
Current State: 44:[5, 36, 11, 49], Operations: [] Exploring Operation: 36-11=25, Resulting Numbers: [5, 49, 25] Generated Node #2: [5, 49, 25] from Operation: 36-11=25 Current State: 44:[5, 49, 25], Operations: ['36-11=25'] Exploring Operation: 25/5=5, Resulting Numbers: [49, 5] Generated Node #3: [49, 5] from Operation: 25/5=5 Current State: 44:[49, 5], Operations: ['36-11=25', '25/5=5'] Exploring Operation: 49-5=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 60, 6, 4, 55 ]
91
[ "60+55=115", "6*4=24", "115-24=91" ]
Current State: 91:[60, 6, 4, 55], Operations: [] Exploring Operation: 60+55=115, Resulting Numbers: [6, 4, 115] Generated Node #2: [6, 4, 115] from Operation: 60+55=115 Current State: 91:[6, 4, 115], Operations: ['60+55=115'] Exploring Operation: 6*4=24, Resulting Numbers: [115, 24] Generated Node #3: [115, 24] from Operation: 6*4=24 Current State: 91:[115, 24], Operations: ['60+55=115', '6*4=24'] Exploring Operation: 115-24=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 79, 86, 50, 13 ]
44
[ "86-79=7", "50-13=37", "7+37=44" ]
Current State: 44:[79, 86, 50, 13], Operations: [] Exploring Operation: 86-79=7, Resulting Numbers: [50, 13, 7] Generated Node #2: [50, 13, 7] from Operation: 86-79=7 Current State: 44:[50, 13, 7], Operations: ['86-79=7'] Exploring Operation: 50-13=37, Resulting Numbers: [7, 37] Generated Node #3: [7, 37] from Operation: 50-13=37 Current State: 44:[7, 37], Operations: ['86-79=7', '50-13=37'] Exploring Operation: 7+37=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 20, 31, 7, 19 ]
77
[ "20+31=51", "7+19=26", "51+26=77" ]
Current State: 77:[20, 31, 7, 19], Operations: [] Exploring Operation: 20+31=51, Resulting Numbers: [7, 19, 51] Generated Node #2: [7, 19, 51] from Operation: 20+31=51 Current State: 77:[7, 19, 51], Operations: ['20+31=51'] Exploring Operation: 7+19=26, Resulting Numbers: [51, 26] Generated Node #3: [51, 26] from Operation: 7+19=26 Current State: 77:[51, 26], Operations: ['20+31=51', '7+19=26'] Exploring Operation: 51+26=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 53, 36, 46, 24 ]
84
[ "53-46=7", "36-24=12", "7*12=84" ]
Current State: 84:[53, 36, 46, 24], Operations: [] Exploring Operation: 53-46=7, Resulting Numbers: [36, 24, 7] Generated Node #2: [36, 24, 7] from Operation: 53-46=7 Current State: 84:[36, 24, 7], Operations: ['53-46=7'] Exploring Operation: 36-24=12, Resulting Numbers: [7, 12] Generated Node #3: [7, 12] from Operation: 36-24=12 Current State: 84:[7, 12], Operations: ['53-46=7', '36-24=12'] Exploring Operation: 7*12=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 3, 34, 14, 10 ]
90
[ "34-14=20", "10+20=30", "3*30=90" ]
Current State: 90:[3, 34, 14, 10], Operations: [] Exploring Operation: 34-14=20, Resulting Numbers: [3, 10, 20] Generated Node #2: [3, 10, 20] from Operation: 34-14=20 Current State: 90:[3, 10, 20], Operations: ['34-14=20'] Exploring Operation: 10+20=30, Resulting Numbers: [3, 30] Generated Node #3: [3, 30] from Operation: 10+20=30 Current State: 90:[3, 30], Operations: ['34-14=20', '10+20=30'] Exploring Operation: 3*30=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 44, 91, 15, 4 ]
75
[ "44+91=135", "15*4=60", "135-60=75" ]
Current State: 75:[44, 91, 15, 4], Operations: [] Exploring Operation: 44+91=135, Resulting Numbers: [15, 4, 135] Generated Node #2: [15, 4, 135] from Operation: 44+91=135 Current State: 75:[15, 4, 135], Operations: ['44+91=135'] Exploring Operation: 15*4=60, Resulting Numbers: [135, 60] Generated Node #3: [135, 60] from Operation: 15*4=60 Current State: 75:[135, 60], Operations: ['44+91=135', '15*4=60'] Exploring Operation: 135-60=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 36, 26, 14, 53 ]
87
[ "36-26=10", "14*10=140", "140-53=87" ]
Current State: 87:[36, 26, 14, 53], Operations: [] Exploring Operation: 36-26=10, Resulting Numbers: [14, 53, 10] Generated Node #2: [14, 53, 10] from Operation: 36-26=10 Current State: 87:[14, 53, 10], Operations: ['36-26=10'] Exploring Operation: 14*10=140, Resulting Numbers: [53, 140] Generated Node #3: [53, 140] from Operation: 14*10=140 Current State: 87:[53, 140], Operations: ['36-26=10', '14*10=140'] Exploring Operation: 140-53=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 13, 9, 53, 87 ]
23
[ "13*9=117", "53+87=140", "140-117=23" ]
Current State: 23:[13, 9, 53, 87], Operations: [] Exploring Operation: 13*9=117, Resulting Numbers: [53, 87, 117] Generated Node #2: [53, 87, 117] from Operation: 13*9=117 Current State: 23:[53, 87, 117], Operations: ['13*9=117'] Exploring Operation: 53+87=140, Resulting Numbers: [117, 140] Generated Node #3: [117, 140] from Operation: 53+87=140 Current State: 23:[117, 140], Operations: ['13*9=117', '53+87=140'] Exploring Operation: 140-117=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 29, 48, 30, 17 ]
90
[ "29+48=77", "30-17=13", "77+13=90" ]
Current State: 90:[29, 48, 30, 17], Operations: [] Exploring Operation: 29+48=77, Resulting Numbers: [30, 17, 77] Generated Node #2: [30, 17, 77] from Operation: 29+48=77 Current State: 90:[30, 17, 77], Operations: ['29+48=77'] Exploring Operation: 30-17=13, Resulting Numbers: [77, 13] Generated Node #3: [77, 13] from Operation: 30-17=13 Current State: 90:[77, 13], Operations: ['29+48=77', '30-17=13'] Exploring Operation: 77+13=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 5, 10, 75, 65 ]
69
[ "65-5=60", "60/10=6", "75-6=69" ]
Current State: 69:[5, 10, 75, 65], Operations: [] Exploring Operation: 65-5=60, Resulting Numbers: [10, 75, 60] Generated Node #2: [10, 75, 60] from Operation: 65-5=60 Current State: 69:[10, 75, 60], Operations: ['65-5=60'] Exploring Operation: 60/10=6, Resulting Numbers: [75, 6] Generated Node #3: [75, 6] from Operation: 60/10=6 Current State: 69:[75, 6], Operations: ['65-5=60', '60/10=6'] Exploring Operation: 75-6=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 16, 36, 67, 72 ]
87
[ "16+36=52", "67+72=139", "139-52=87" ]
Current State: 87:[16, 36, 67, 72], Operations: [] Exploring Operation: 16+36=52, Resulting Numbers: [67, 72, 52] Generated Node #2: [67, 72, 52] from Operation: 16+36=52 Current State: 87:[67, 72, 52], Operations: ['16+36=52'] Exploring Operation: 67+72=139, Resulting Numbers: [52, 139] Generated Node #3: [52, 139] from Operation: 67+72=139 Current State: 87:[52, 139], Operations: ['16+36=52', '67+72=139'] Exploring Operation: 139-52=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 47, 16, 56, 33 ]
54
[ "47-16=31", "56-33=23", "31+23=54" ]
Current State: 54:[47, 16, 56, 33], Operations: [] Exploring Operation: 47-16=31, Resulting Numbers: [56, 33, 31] Generated Node #2: [56, 33, 31] from Operation: 47-16=31 Current State: 54:[56, 33, 31], Operations: ['47-16=31'] Exploring Operation: 56-33=23, Resulting Numbers: [31, 23] Generated Node #3: [31, 23] from Operation: 56-33=23 Current State: 54:[31, 23], Operations: ['47-16=31', '56-33=23'] Exploring Operation: 31+23=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 90, 44, 86, 3 ]
56
[ "90-86=4", "3*4=12", "44+12=56" ]
Current State: 56:[90, 44, 86, 3], Operations: [] Exploring Operation: 90-86=4, Resulting Numbers: [44, 3, 4] Generated Node #2: [44, 3, 4] from Operation: 90-86=4 Current State: 56:[44, 3, 4], Operations: ['90-86=4'] Exploring Operation: 3*4=12, Resulting Numbers: [44, 12] Generated Node #3: [44, 12] from Operation: 3*4=12 Current State: 56:[44, 12], Operations: ['90-86=4', '3*4=12'] Exploring Operation: 44+12=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 24, 44, 49, 39 ]
81
[ "49-44=5", "24*5=120", "120-39=81" ]
Current State: 81:[24, 44, 49, 39], Operations: [] Exploring Operation: 49-44=5, Resulting Numbers: [24, 39, 5] Generated Node #2: [24, 39, 5] from Operation: 49-44=5 Current State: 81:[24, 39, 5], Operations: ['49-44=5'] Exploring Operation: 24*5=120, Resulting Numbers: [39, 120] Generated Node #3: [39, 120] from Operation: 24*5=120 Current State: 81:[39, 120], Operations: ['49-44=5', '24*5=120'] Exploring Operation: 120-39=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 87, 29, 56, 77 ]
63
[ "87/29=3", "77-56=21", "3*21=63" ]
Current State: 63:[87, 29, 56, 77], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [56, 77, 3] Generated Node #2: [56, 77, 3] from Operation: 87/29=3 Current State: 63:[56, 77, 3], Operations: ['87/29=3'] Exploring Operation: 77-56=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 77-56=21 Current State: 63:[3, 21], Operations: ['87/29=3', '77-56=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 51, 59, 5, 88 ]
94
[ "88-59=29", "5*29=145", "145-51=94" ]
Current State: 94:[51, 59, 5, 88], Operations: [] Exploring Operation: 88-59=29, Resulting Numbers: [51, 5, 29] Generated Node #2: [51, 5, 29] from Operation: 88-59=29 Current State: 94:[51, 5, 29], Operations: ['88-59=29'] Exploring Operation: 5*29=145, Resulting Numbers: [51, 145] Generated Node #3: [51, 145] from Operation: 5*29=145 Current State: 94:[51, 145], Operations: ['88-59=29', '5*29=145'] Exploring Operation: 145-51=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 79, 17, 12, 14 ]
43
[ "17-14=3", "12*3=36", "79-36=43" ]
Current State: 43:[79, 17, 12, 14], Operations: [] Exploring Operation: 17-14=3, Resulting Numbers: [79, 12, 3] Generated Node #2: [79, 12, 3] from Operation: 17-14=3 Current State: 43:[79, 12, 3], Operations: ['17-14=3'] Exploring Operation: 12*3=36, Resulting Numbers: [79, 36] Generated Node #3: [79, 36] from Operation: 12*3=36 Current State: 43:[79, 36], Operations: ['17-14=3', '12*3=36'] Exploring Operation: 79-36=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 78, 2, 37, 7 ]
93
[ "37-7=30", "30/2=15", "78+15=93" ]
Current State: 93:[78, 2, 37, 7], Operations: [] Exploring Operation: 37-7=30, Resulting Numbers: [78, 2, 30] Generated Node #2: [78, 2, 30] from Operation: 37-7=30 Current State: 93:[78, 2, 30], Operations: ['37-7=30'] Exploring Operation: 30/2=15, Resulting Numbers: [78, 15] Generated Node #3: [78, 15] from Operation: 30/2=15 Current State: 93:[78, 15], Operations: ['37-7=30', '30/2=15'] Exploring Operation: 78+15=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 24, 92, 88, 78 ]
72
[ "92-88=4", "24/4=6", "78-6=72" ]
Current State: 72:[24, 92, 88, 78], Operations: [] Exploring Operation: 92-88=4, Resulting Numbers: [24, 78, 4] Generated Node #2: [24, 78, 4] from Operation: 92-88=4 Current State: 72:[24, 78, 4], Operations: ['92-88=4'] Exploring Operation: 24/4=6, Resulting Numbers: [78, 6] Generated Node #3: [78, 6] from Operation: 24/4=6 Current State: 72:[78, 6], Operations: ['92-88=4', '24/4=6'] Exploring Operation: 78-6=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 80, 31, 23, 25 ]
15
[ "31-23=8", "80/8=10", "25-10=15" ]
Current State: 15:[80, 31, 23, 25], Operations: [] Exploring Operation: 31-23=8, Resulting Numbers: [80, 25, 8] Generated Node #2: [80, 25, 8] from Operation: 31-23=8 Current State: 15:[80, 25, 8], Operations: ['31-23=8'] Exploring Operation: 80/8=10, Resulting Numbers: [25, 10] Generated Node #3: [25, 10] from Operation: 80/8=10 Current State: 15:[25, 10], Operations: ['31-23=8', '80/8=10'] Exploring Operation: 25-10=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 24, 22, 22, 34 ]
23
[ "24-22=2", "22/2=11", "34-11=23" ]
Current State: 23:[24, 22, 22, 34], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [34, 2] Generated Node #2: [34, 2] from Operation: 24-22=2 Current State: 23:[34, 2], Operations: ['24-22=2'] Exploring Operation: 22/2=11, Resulting Numbers: [34, 11] Generated Node #3: [34, 11] from Operation: 22/2=11 Current State: 23:[34, 11], Operations: ['24-22=2', '22/2=11'] Exploring Operation: 34-11=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 72, 66, 33, 13 ]
23
[ "72*33=2376", "2376/66=36", "36-13=23" ]
Current State: 23:[72, 66, 33, 13], Operations: [] Exploring Operation: 72*33=2376, Resulting Numbers: [66, 13, 2376] Generated Node #2: [66, 13, 2376] from Operation: 72*33=2376 Current State: 23:[66, 13, 2376], Operations: ['72*33=2376'] Exploring Operation: 2376/66=36, Resulting Numbers: [13, 36] Generated Node #3: [13, 36] from Operation: 2376/66=36 Current State: 23:[13, 36], Operations: ['72*33=2376', '2376/66=36'] Exploring Operation: 36-13=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 46, 2, 75, 91 ]
76
[ "46*2=92", "91-75=16", "92-16=76" ]
Current State: 76:[46, 2, 75, 91], Operations: [] Exploring Operation: 46*2=92, Resulting Numbers: [75, 91, 92] Generated Node #2: [75, 91, 92] from Operation: 46*2=92 Current State: 76:[75, 91, 92], Operations: ['46*2=92'] Exploring Operation: 91-75=16, Resulting Numbers: [92, 16] Generated Node #3: [92, 16] from Operation: 91-75=16 Current State: 76:[92, 16], Operations: ['46*2=92', '91-75=16'] Exploring Operation: 92-16=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 65, 29, 33, 86 ]
89
[ "65-29=36", "86-33=53", "36+53=89" ]
Current State: 89:[65, 29, 33, 86], Operations: [] Exploring Operation: 65-29=36, Resulting Numbers: [33, 86, 36] Generated Node #2: [33, 86, 36] from Operation: 65-29=36 Current State: 89:[33, 86, 36], Operations: ['65-29=36'] Exploring Operation: 86-33=53, Resulting Numbers: [36, 53] Generated Node #3: [36, 53] from Operation: 86-33=53 Current State: 89:[36, 53], Operations: ['65-29=36', '86-33=53'] Exploring Operation: 36+53=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 12, 88, 42, 69 ]
18
[ "12*69=828", "88-42=46", "828/46=18" ]
Current State: 18:[12, 88, 42, 69], Operations: [] Exploring Operation: 12*69=828, Resulting Numbers: [88, 42, 828] Generated Node #2: [88, 42, 828] from Operation: 12*69=828 Current State: 18:[88, 42, 828], Operations: ['12*69=828'] Exploring Operation: 88-42=46, Resulting Numbers: [828, 46] Generated Node #3: [828, 46] from Operation: 88-42=46 Current State: 18:[828, 46], Operations: ['12*69=828', '88-42=46'] Exploring Operation: 828/46=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4