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
[ 40, 3, 7, 3 ]
38
[ "40+7=47", "3*3=9", "47-9=38" ]
Current State: 38:[40, 3, 7, 3], Operations: [] Exploring Operation: 40+7=47, Resulting Numbers: [3, 3, 47] Generated Node #2: [3, 3, 47] from Operation: 40+7=47 Current State: 38:[3, 3, 47], Operations: ['40+7=47'] Exploring Operation: 3*3=9, Resulting Numbers: [47, 9] Generated Node #3: [47, 9] from Operation: 3*3=9 Current State: 38:[47, 9], Operations: ['40+7=47', '3*3=9'] Exploring Operation: 47-9=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 40, 37, 21, 23 ]
41
[ "40-37=3", "21+23=44", "44-3=41" ]
Current State: 41:[40, 37, 21, 23], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [21, 23, 3] Generated Node #2: [21, 23, 3] from Operation: 40-37=3 Current State: 41:[21, 23, 3], Operations: ['40-37=3'] Exploring Operation: 21+23=44, Resulting Numbers: [3, 44] Generated Node #3: [3, 44] from Operation: 21+23=44 Current State: 41:[3, 44], Operations: ['40-37=3', '21+23=44'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 26, 60, 30, 73 ]
60
[ "26*30=780", "73-60=13", "780/13=60" ]
Current State: 60:[26, 60, 30, 73], Operations: [] Exploring Operation: 26*30=780, Resulting Numbers: [60, 73, 780] Generated Node #2: [60, 73, 780] from Operation: 26*30=780 Current State: 60:[60, 73, 780], Operations: ['26*30=780'] Exploring Operation: 73-60=13, Resulting Numbers: [780, 13] Generated Node #3: [780, 13] from Operation: 73-60=13 Current State: 60:[780, 13], Operations: ['26*30=780', '73-60=13'] Exploring Operation: 780/13=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 54, 87, 18, 24 ]
78
[ "24-18=6", "54/6=9", "87-9=78" ]
Current State: 78:[54, 87, 18, 24], Operations: [] Exploring Operation: 24-18=6, Resulting Numbers: [54, 87, 6] Generated Node #2: [54, 87, 6] from Operation: 24-18=6 Current State: 78:[54, 87, 6], Operations: ['24-18=6'] Exploring Operation: 54/6=9, Resulting Numbers: [87, 9] Generated Node #3: [87, 9] from Operation: 54/6=9 Current State: 78:[87, 9], Operations: ['24-18=6', '54/6=9'] Exploring Operation: 87-9=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 62, 15, 44, 19 ]
14
[ "62+15=77", "44+19=63", "77-63=14" ]
Current State: 14:[62, 15, 44, 19], Operations: [] Exploring Operation: 62+15=77, Resulting Numbers: [44, 19, 77] Generated Node #2: [44, 19, 77] from Operation: 62+15=77 Current State: 14:[44, 19, 77], Operations: ['62+15=77'] Exploring Operation: 44+19=63, Resulting Numbers: [77, 63] Generated Node #3: [77, 63] from Operation: 44+19=63 Current State: 14:[77, 63], Operations: ['62+15=77', '44+19=63'] Exploring Operation: 77-63=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 39, 48, 40, 38 ]
57
[ "40-38=2", "48*2=96", "96-39=57" ]
Current State: 57:[39, 48, 40, 38], Operations: [] Exploring Operation: 40-38=2, Resulting Numbers: [39, 48, 2] Generated Node #2: [39, 48, 2] from Operation: 40-38=2 Current State: 57:[39, 48, 2], Operations: ['40-38=2'] Exploring Operation: 48*2=96, Resulting Numbers: [39, 96] Generated Node #3: [39, 96] from Operation: 48*2=96 Current State: 57:[39, 96], Operations: ['40-38=2', '48*2=96'] Exploring Operation: 96-39=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 57, 85, 94, 11 ]
59
[ "57+85=142", "94-11=83", "142-83=59" ]
Current State: 59:[57, 85, 94, 11], Operations: [] Exploring Operation: 57+85=142, Resulting Numbers: [94, 11, 142] Generated Node #2: [94, 11, 142] from Operation: 57+85=142 Current State: 59:[94, 11, 142], Operations: ['57+85=142'] Exploring Operation: 94-11=83, Resulting Numbers: [142, 83] Generated Node #3: [142, 83] from Operation: 94-11=83 Current State: 59:[142, 83], Operations: ['57+85=142', '94-11=83'] Exploring Operation: 142-83=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 18, 41, 98, 13 ]
63
[ "18*98=1764", "41-13=28", "1764/28=63" ]
Current State: 63:[18, 41, 98, 13], Operations: [] Exploring Operation: 18*98=1764, Resulting Numbers: [41, 13, 1764] Generated Node #2: [41, 13, 1764] from Operation: 18*98=1764 Current State: 63:[41, 13, 1764], Operations: ['18*98=1764'] Exploring Operation: 41-13=28, Resulting Numbers: [1764, 28] Generated Node #3: [1764, 28] from Operation: 41-13=28 Current State: 63:[1764, 28], Operations: ['18*98=1764', '41-13=28'] Exploring Operation: 1764/28=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 66, 57, 19, 56 ]
47
[ "66-19=47", "57-56=1", "47*1=47" ]
Current State: 47:[66, 57, 19, 56], Operations: [] Exploring Operation: 66-19=47, Resulting Numbers: [57, 56, 47] Generated Node #2: [57, 56, 47] from Operation: 66-19=47 Current State: 47:[57, 56, 47], Operations: ['66-19=47'] Exploring Operation: 57-56=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 57-56=1 Current State: 47:[47, 1], Operations: ['66-19=47', '57-56=1'] Exploring Operation: 47*1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 24, 80, 99, 76 ]
71
[ "24+80=104", "99+76=175", "175-104=71" ]
Current State: 71:[24, 80, 99, 76], Operations: [] Exploring Operation: 24+80=104, Resulting Numbers: [99, 76, 104] Generated Node #2: [99, 76, 104] from Operation: 24+80=104 Current State: 71:[99, 76, 104], Operations: ['24+80=104'] Exploring Operation: 99+76=175, Resulting Numbers: [104, 175] Generated Node #3: [104, 175] from Operation: 99+76=175 Current State: 71:[104, 175], Operations: ['24+80=104', '99+76=175'] Exploring Operation: 175-104=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 50, 64, 92, 15 ]
37
[ "50+64=114", "92-15=77", "114-77=37" ]
Current State: 37:[50, 64, 92, 15], Operations: [] Exploring Operation: 50+64=114, Resulting Numbers: [92, 15, 114] Generated Node #2: [92, 15, 114] from Operation: 50+64=114 Current State: 37:[92, 15, 114], Operations: ['50+64=114'] Exploring Operation: 92-15=77, Resulting Numbers: [114, 77] Generated Node #3: [114, 77] from Operation: 92-15=77 Current State: 37:[114, 77], Operations: ['50+64=114', '92-15=77'] Exploring Operation: 114-77=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 11, 11, 35, 44 ]
88
[ "44-35=9", "11*9=99", "99-11=88" ]
Current State: 88:[11, 11, 35, 44], Operations: [] Exploring Operation: 44-35=9, Resulting Numbers: [11, 11, 9] Generated Node #2: [11, 11, 9] from Operation: 44-35=9 Current State: 88:[11, 11, 9], Operations: ['44-35=9'] Exploring Operation: 11*9=99, Resulting Numbers: [99] 99,88 equal: Goal Reached Exploring Operation: 99-11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 58, 35, 10, 47 ]
14
[ "58+35=93", "47+93=140", "140/10=14" ]
Current State: 14:[58, 35, 10, 47], Operations: [] Exploring Operation: 58+35=93, Resulting Numbers: [10, 47, 93] Generated Node #2: [10, 47, 93] from Operation: 58+35=93 Current State: 14:[10, 47, 93], Operations: ['58+35=93'] Exploring Operation: 47+93=140, Resulting Numbers: [10, 140] Generated Node #3: [10, 140] from Operation: 47+93=140 Current State: 14:[10, 140], Operations: ['58+35=93', '47+93=140'] Exploring Operation: 140/10=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 97, 71, 69, 5 ]
48
[ "97-71=26", "69+5=74", "74-26=48" ]
Current State: 48:[97, 71, 69, 5], Operations: [] Exploring Operation: 97-71=26, Resulting Numbers: [69, 5, 26] Generated Node #2: [69, 5, 26] from Operation: 97-71=26 Current State: 48:[69, 5, 26], Operations: ['97-71=26'] Exploring Operation: 69+5=74, Resulting Numbers: [26, 74] Generated Node #3: [26, 74] from Operation: 69+5=74 Current State: 48:[26, 74], Operations: ['97-71=26', '69+5=74'] Exploring Operation: 74-26=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 30, 2, 75, 10 ]
85
[ "30+75=105", "2*10=20", "105-20=85" ]
Current State: 85:[30, 2, 75, 10], Operations: [] Exploring Operation: 30+75=105, Resulting Numbers: [2, 10, 105] Generated Node #2: [2, 10, 105] from Operation: 30+75=105 Current State: 85:[2, 10, 105], Operations: ['30+75=105'] Exploring Operation: 2*10=20, Resulting Numbers: [105, 20] Generated Node #3: [105, 20] from Operation: 2*10=20 Current State: 85:[105, 20], Operations: ['30+75=105', '2*10=20'] Exploring Operation: 105-20=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 45, 15, 24, 1 ]
22
[ "45/15=3", "24+1=25", "25-3=22" ]
Current State: 22:[45, 15, 24, 1], Operations: [] Exploring Operation: 45/15=3, Resulting Numbers: [24, 1, 3] Generated Node #2: [24, 1, 3] from Operation: 45/15=3 Current State: 22:[24, 1, 3], Operations: ['45/15=3'] Exploring Operation: 24+1=25, Resulting Numbers: [3, 25] Generated Node #3: [3, 25] from Operation: 24+1=25 Current State: 22:[3, 25], Operations: ['45/15=3', '24+1=25'] Exploring Operation: 25-3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 44, 14, 23, 3 ]
13
[ "44-14=30", "30/3=10", "23-10=13" ]
Current State: 13:[44, 14, 23, 3], Operations: [] Exploring Operation: 44-14=30, Resulting Numbers: [23, 3, 30] Generated Node #2: [23, 3, 30] from Operation: 44-14=30 Current State: 13:[23, 3, 30], Operations: ['44-14=30'] Exploring Operation: 30/3=10, Resulting Numbers: [23, 10] Generated Node #3: [23, 10] from Operation: 30/3=10 Current State: 13:[23, 10], Operations: ['44-14=30', '30/3=10'] Exploring Operation: 23-10=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 7, 45, 96, 46 ]
35
[ "96-45=51", "51-46=5", "7*5=35" ]
Current State: 35:[7, 45, 96, 46], Operations: [] Exploring Operation: 96-45=51, Resulting Numbers: [7, 46, 51] Generated Node #2: [7, 46, 51] from Operation: 96-45=51 Current State: 35:[7, 46, 51], Operations: ['96-45=51'] Exploring Operation: 51-46=5, Resulting Numbers: [7, 5] Generated Node #3: [7, 5] from Operation: 51-46=5 Current State: 35:[7, 5], Operations: ['96-45=51', '51-46=5'] Exploring Operation: 7*5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 75, 87, 44, 81 ]
88
[ "75+87=162", "44*162=7128", "7128/81=88" ]
Current State: 88:[75, 87, 44, 81], Operations: [] Exploring Operation: 75+87=162, Resulting Numbers: [44, 81, 162] Generated Node #2: [44, 81, 162] from Operation: 75+87=162 Current State: 88:[44, 81, 162], Operations: ['75+87=162'] Exploring Operation: 44*162=7128, Resulting Numbers: [81, 7128] Generated Node #3: [81, 7128] from Operation: 44*162=7128 Current State: 88:[81, 7128], Operations: ['75+87=162', '44*162=7128'] Exploring Operation: 7128/81=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 28, 88, 64, 12 ]
56
[ "88-64=24", "28*24=672", "672/12=56" ]
Current State: 56:[28, 88, 64, 12], Operations: [] Exploring Operation: 88-64=24, Resulting Numbers: [28, 12, 24] Generated Node #2: [28, 12, 24] from Operation: 88-64=24 Current State: 56:[28, 12, 24], Operations: ['88-64=24'] Exploring Operation: 28*24=672, Resulting Numbers: [12, 672] Generated Node #3: [12, 672] from Operation: 28*24=672 Current State: 56:[12, 672], Operations: ['88-64=24', '28*24=672'] Exploring Operation: 672/12=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 84, 20, 59, 87 ]
82
[ "84-20=64", "59+87=146", "146-64=82" ]
Current State: 82:[84, 20, 59, 87], Operations: [] Exploring Operation: 84-20=64, Resulting Numbers: [59, 87, 64] Generated Node #2: [59, 87, 64] from Operation: 84-20=64 Current State: 82:[59, 87, 64], Operations: ['84-20=64'] Exploring Operation: 59+87=146, Resulting Numbers: [64, 146] Generated Node #3: [64, 146] from Operation: 59+87=146 Current State: 82:[64, 146], Operations: ['84-20=64', '59+87=146'] Exploring Operation: 146-64=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 35, 98, 75, 50 ]
70
[ "75-50=25", "98*25=2450", "2450/35=70" ]
Current State: 70:[35, 98, 75, 50], Operations: [] Exploring Operation: 75-50=25, Resulting Numbers: [35, 98, 25] Generated Node #2: [35, 98, 25] from Operation: 75-50=25 Current State: 70:[35, 98, 25], Operations: ['75-50=25'] Exploring Operation: 98*25=2450, Resulting Numbers: [35, 2450] Generated Node #3: [35, 2450] from Operation: 98*25=2450 Current State: 70:[35, 2450], Operations: ['75-50=25', '98*25=2450'] Exploring Operation: 2450/35=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 60, 81, 39, 78 ]
51
[ "60*39=2340", "2340/78=30", "81-30=51" ]
Current State: 51:[60, 81, 39, 78], Operations: [] Exploring Operation: 60*39=2340, Resulting Numbers: [81, 78, 2340] Generated Node #2: [81, 78, 2340] from Operation: 60*39=2340 Current State: 51:[81, 78, 2340], Operations: ['60*39=2340'] Exploring Operation: 2340/78=30, Resulting Numbers: [81, 30] Generated Node #3: [81, 30] from Operation: 2340/78=30 Current State: 51:[81, 30], Operations: ['60*39=2340', '2340/78=30'] Exploring Operation: 81-30=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 98, 59, 60, 25 ]
70
[ "98*60=5880", "59+25=84", "5880/84=70" ]
Current State: 70:[98, 59, 60, 25], Operations: [] Exploring Operation: 98*60=5880, Resulting Numbers: [59, 25, 5880] Generated Node #2: [59, 25, 5880] from Operation: 98*60=5880 Current State: 70:[59, 25, 5880], Operations: ['98*60=5880'] Exploring Operation: 59+25=84, Resulting Numbers: [5880, 84] Generated Node #3: [5880, 84] from Operation: 59+25=84 Current State: 70:[5880, 84], Operations: ['98*60=5880', '59+25=84'] Exploring Operation: 5880/84=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 2, 23, 2, 98 ]
74
[ "2+23=25", "98/2=49", "25+49=74" ]
Current State: 74:[2, 23, 2, 98], Operations: [] Exploring Operation: 2+23=25, Resulting Numbers: [98, 25] Generated Node #2: [98, 25] from Operation: 2+23=25 Current State: 74:[98, 25], Operations: ['2+23=25'] Exploring Operation: 98/2=49, Resulting Numbers: [25, 49] Generated Node #3: [25, 49] from Operation: 98/2=49 Current State: 74:[25, 49], Operations: ['2+23=25', '98/2=49'] Exploring Operation: 25+49=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 72, 77, 9, 60 ]
56
[ "77-72=5", "60-9=51", "5+51=56" ]
Current State: 56:[72, 77, 9, 60], Operations: [] Exploring Operation: 77-72=5, Resulting Numbers: [9, 60, 5] Generated Node #2: [9, 60, 5] from Operation: 77-72=5 Current State: 56:[9, 60, 5], Operations: ['77-72=5'] Exploring Operation: 60-9=51, Resulting Numbers: [5, 51] Generated Node #3: [5, 51] from Operation: 60-9=51 Current State: 56:[5, 51], Operations: ['77-72=5', '60-9=51'] Exploring Operation: 5+51=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 72, 52, 85, 55 ]
47
[ "72-55=17", "85/17=5", "52-5=47" ]
Current State: 47:[72, 52, 85, 55], Operations: [] Exploring Operation: 72-55=17, Resulting Numbers: [52, 85, 17] Generated Node #2: [52, 85, 17] from Operation: 72-55=17 Current State: 47:[52, 85, 17], Operations: ['72-55=17'] Exploring Operation: 85/17=5, Resulting Numbers: [52, 5] Generated Node #3: [52, 5] from Operation: 85/17=5 Current State: 47:[52, 5], Operations: ['72-55=17', '85/17=5'] Exploring Operation: 52-5=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 82, 85, 62, 79 ]
20
[ "85-82=3", "79-62=17", "3+17=20" ]
Current State: 20:[82, 85, 62, 79], Operations: [] Exploring Operation: 85-82=3, Resulting Numbers: [62, 79, 3] Generated Node #2: [62, 79, 3] from Operation: 85-82=3 Current State: 20:[62, 79, 3], Operations: ['85-82=3'] Exploring Operation: 79-62=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 79-62=17 Current State: 20:[3, 17], Operations: ['85-82=3', '79-62=17'] Exploring Operation: 3+17=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 61, 87, 21, 11 ]
83
[ "61+87=148", "21*11=231", "231-148=83" ]
Current State: 83:[61, 87, 21, 11], Operations: [] Exploring Operation: 61+87=148, Resulting Numbers: [21, 11, 148] Generated Node #2: [21, 11, 148] from Operation: 61+87=148 Current State: 83:[21, 11, 148], Operations: ['61+87=148'] Exploring Operation: 21*11=231, Resulting Numbers: [148, 231] Generated Node #3: [148, 231] from Operation: 21*11=231 Current State: 83:[148, 231], Operations: ['61+87=148', '21*11=231'] Exploring Operation: 231-148=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 30, 41, 90, 51 ]
89
[ "90/30=3", "41+51=92", "92-3=89" ]
Current State: 89:[30, 41, 90, 51], Operations: [] Exploring Operation: 90/30=3, Resulting Numbers: [41, 51, 3] Generated Node #2: [41, 51, 3] from Operation: 90/30=3 Current State: 89:[41, 51, 3], Operations: ['90/30=3'] Exploring Operation: 41+51=92, Resulting Numbers: [3, 92] Generated Node #3: [3, 92] from Operation: 41+51=92 Current State: 89:[3, 92], Operations: ['90/30=3', '41+51=92'] Exploring Operation: 92-3=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 52, 52, 31, 3 ]
92
[ "52/52=1", "31*3=93", "93-1=92" ]
Current State: 92:[52, 52, 31, 3], Operations: [] Exploring Operation: 52/52=1, Resulting Numbers: [31, 3, 1] Generated Node #2: [31, 3, 1] from Operation: 52/52=1 Current State: 92:[31, 3, 1], Operations: ['52/52=1'] Exploring Operation: 31*3=93, Resulting Numbers: [1, 93] Generated Node #3: [1, 93] from Operation: 31*3=93 Current State: 92:[1, 93], Operations: ['52/52=1', '31*3=93'] Exploring Operation: 93-1=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 7, 66, 44, 9 ]
38
[ "7+66=73", "44-9=35", "73-35=38" ]
Current State: 38:[7, 66, 44, 9], Operations: [] Exploring Operation: 7+66=73, Resulting Numbers: [44, 9, 73] Generated Node #2: [44, 9, 73] from Operation: 7+66=73 Current State: 38:[44, 9, 73], Operations: ['7+66=73'] Exploring Operation: 44-9=35, Resulting Numbers: [73, 35] Generated Node #3: [73, 35] from Operation: 44-9=35 Current State: 38:[73, 35], Operations: ['7+66=73', '44-9=35'] Exploring Operation: 73-35=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 36, 12, 4, 47 ]
19
[ "36-12=24", "47-4=43", "43-24=19" ]
Current State: 19:[36, 12, 4, 47], Operations: [] Exploring Operation: 36-12=24, Resulting Numbers: [4, 47, 24] Generated Node #2: [4, 47, 24] from Operation: 36-12=24 Current State: 19:[4, 47, 24], Operations: ['36-12=24'] Exploring Operation: 47-4=43, Resulting Numbers: [24, 43] Generated Node #3: [24, 43] from Operation: 47-4=43 Current State: 19:[24, 43], Operations: ['36-12=24', '47-4=43'] Exploring Operation: 43-24=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 39, 87, 62, 56 ]
21
[ "39+87=126", "62-56=6", "126/6=21" ]
Current State: 21:[39, 87, 62, 56], Operations: [] Exploring Operation: 39+87=126, Resulting Numbers: [62, 56, 126] Generated Node #2: [62, 56, 126] from Operation: 39+87=126 Current State: 21:[62, 56, 126], Operations: ['39+87=126'] Exploring Operation: 62-56=6, Resulting Numbers: [126, 6] Generated Node #3: [126, 6] from Operation: 62-56=6 Current State: 21:[126, 6], Operations: ['39+87=126', '62-56=6'] Exploring Operation: 126/6=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 31, 51, 5, 40 ]
25
[ "51-31=20", "5+40=45", "45-20=25" ]
Current State: 25:[31, 51, 5, 40], Operations: [] Exploring Operation: 51-31=20, Resulting Numbers: [5, 40, 20] Generated Node #2: [5, 40, 20] from Operation: 51-31=20 Current State: 25:[5, 40, 20], Operations: ['51-31=20'] Exploring Operation: 5+40=45, Resulting Numbers: [20, 45] Generated Node #3: [20, 45] from Operation: 5+40=45 Current State: 25:[20, 45], Operations: ['51-31=20', '5+40=45'] Exploring Operation: 45-20=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 32, 63, 74, 10 ]
95
[ "63-32=31", "74-10=64", "31+64=95" ]
Current State: 95:[32, 63, 74, 10], Operations: [] Exploring Operation: 63-32=31, Resulting Numbers: [74, 10, 31] Generated Node #2: [74, 10, 31] from Operation: 63-32=31 Current State: 95:[74, 10, 31], Operations: ['63-32=31'] Exploring Operation: 74-10=64, Resulting Numbers: [31, 64] Generated Node #3: [31, 64] from Operation: 74-10=64 Current State: 95:[31, 64], Operations: ['63-32=31', '74-10=64'] Exploring Operation: 31+64=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 75, 47, 34, 50 ]
54
[ "47+34=81", "50*81=4050", "4050/75=54" ]
Current State: 54:[75, 47, 34, 50], Operations: [] Exploring Operation: 47+34=81, Resulting Numbers: [75, 50, 81] Generated Node #2: [75, 50, 81] from Operation: 47+34=81 Current State: 54:[75, 50, 81], Operations: ['47+34=81'] Exploring Operation: 50*81=4050, Resulting Numbers: [75, 4050] Generated Node #3: [75, 4050] from Operation: 50*81=4050 Current State: 54:[75, 4050], Operations: ['47+34=81', '50*81=4050'] Exploring Operation: 4050/75=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 15, 26, 75, 23 ]
10
[ "26-23=3", "75/3=25", "25-15=10" ]
Current State: 10:[15, 26, 75, 23], Operations: [] Exploring Operation: 26-23=3, Resulting Numbers: [15, 75, 3] Generated Node #2: [15, 75, 3] from Operation: 26-23=3 Current State: 10:[15, 75, 3], Operations: ['26-23=3'] Exploring Operation: 75/3=25, Resulting Numbers: [15, 25] Generated Node #3: [15, 25] from Operation: 75/3=25 Current State: 10:[15, 25], Operations: ['26-23=3', '75/3=25'] Exploring Operation: 25-15=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 28, 46, 50, 20 ]
25
[ "46-28=18", "20-18=2", "50/2=25" ]
Current State: 25:[28, 46, 50, 20], Operations: [] Exploring Operation: 46-28=18, Resulting Numbers: [50, 20, 18] Generated Node #2: [50, 20, 18] from Operation: 46-28=18 Current State: 25:[50, 20, 18], Operations: ['46-28=18'] Exploring Operation: 20-18=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 20-18=2 Current State: 25:[50, 2], Operations: ['46-28=18', '20-18=2'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 14, 66, 48, 28 ]
42
[ "14*48=672", "672/28=24", "66-24=42" ]
Current State: 42:[14, 66, 48, 28], Operations: [] Exploring Operation: 14*48=672, Resulting Numbers: [66, 28, 672] Generated Node #2: [66, 28, 672] from Operation: 14*48=672 Current State: 42:[66, 28, 672], Operations: ['14*48=672'] Exploring Operation: 672/28=24, Resulting Numbers: [66, 24] Generated Node #3: [66, 24] from Operation: 672/28=24 Current State: 42:[66, 24], Operations: ['14*48=672', '672/28=24'] Exploring Operation: 66-24=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 51, 85, 21, 17 ]
92
[ "51/17=3", "21/3=7", "85+7=92" ]
Current State: 92:[51, 85, 21, 17], Operations: [] Exploring Operation: 51/17=3, Resulting Numbers: [85, 21, 3] Generated Node #2: [85, 21, 3] from Operation: 51/17=3 Current State: 92:[85, 21, 3], Operations: ['51/17=3'] Exploring Operation: 21/3=7, Resulting Numbers: [85, 7] Generated Node #3: [85, 7] from Operation: 21/3=7 Current State: 92:[85, 7], Operations: ['51/17=3', '21/3=7'] Exploring Operation: 85+7=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 93, 96, 43, 19 ]
97
[ "43-19=24", "96/24=4", "93+4=97" ]
Current State: 97:[93, 96, 43, 19], Operations: [] Exploring Operation: 43-19=24, Resulting Numbers: [93, 96, 24] Generated Node #2: [93, 96, 24] from Operation: 43-19=24 Current State: 97:[93, 96, 24], Operations: ['43-19=24'] Exploring Operation: 96/24=4, Resulting Numbers: [93, 4] Generated Node #3: [93, 4] from Operation: 96/24=4 Current State: 97:[93, 4], Operations: ['43-19=24', '96/24=4'] Exploring Operation: 93+4=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 49, 98, 34, 54 ]
29
[ "98-49=49", "54-34=20", "49-20=29" ]
Current State: 29:[49, 98, 34, 54], Operations: [] Exploring Operation: 98-49=49, Resulting Numbers: [34, 54, 49] Generated Node #2: [34, 54, 49] from Operation: 98-49=49 Current State: 29:[34, 54, 49], Operations: ['98-49=49'] Exploring Operation: 54-34=20, Resulting Numbers: [49, 20] Generated Node #3: [49, 20] from Operation: 54-34=20 Current State: 29:[49, 20], Operations: ['98-49=49', '54-34=20'] Exploring Operation: 49-20=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 66, 23, 77, 10 ]
44
[ "66-23=43", "77+10=87", "87-43=44" ]
Current State: 44:[66, 23, 77, 10], Operations: [] Exploring Operation: 66-23=43, Resulting Numbers: [77, 10, 43] Generated Node #2: [77, 10, 43] from Operation: 66-23=43 Current State: 44:[77, 10, 43], Operations: ['66-23=43'] Exploring Operation: 77+10=87, Resulting Numbers: [43, 87] Generated Node #3: [43, 87] from Operation: 77+10=87 Current State: 44:[43, 87], Operations: ['66-23=43', '77+10=87'] Exploring Operation: 87-43=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 29, 7, 44, 86 ]
43
[ "29-7=22", "44/22=2", "86/2=43" ]
Current State: 43:[29, 7, 44, 86], Operations: [] Exploring Operation: 29-7=22, Resulting Numbers: [44, 86, 22] Generated Node #2: [44, 86, 22] from Operation: 29-7=22 Current State: 43:[44, 86, 22], Operations: ['29-7=22'] Exploring Operation: 44/22=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 44/22=2 Current State: 43:[86, 2], Operations: ['29-7=22', '44/22=2'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 65, 54, 47, 92 ]
94
[ "92-65=27", "54*47=2538", "2538/27=94" ]
Current State: 94:[65, 54, 47, 92], Operations: [] Exploring Operation: 92-65=27, Resulting Numbers: [54, 47, 27] Generated Node #2: [54, 47, 27] from Operation: 92-65=27 Current State: 94:[54, 47, 27], Operations: ['92-65=27'] Exploring Operation: 54*47=2538, Resulting Numbers: [27, 2538] Generated Node #3: [27, 2538] from Operation: 54*47=2538 Current State: 94:[27, 2538], Operations: ['92-65=27', '54*47=2538'] Exploring Operation: 2538/27=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 49, 64, 23, 39 ]
31
[ "64-49=15", "39-23=16", "15+16=31" ]
Current State: 31:[49, 64, 23, 39], Operations: [] Exploring Operation: 64-49=15, Resulting Numbers: [23, 39, 15] Generated Node #2: [23, 39, 15] from Operation: 64-49=15 Current State: 31:[23, 39, 15], Operations: ['64-49=15'] Exploring Operation: 39-23=16, Resulting Numbers: [15, 16] Generated Node #3: [15, 16] from Operation: 39-23=16 Current State: 31:[15, 16], Operations: ['64-49=15', '39-23=16'] Exploring Operation: 15+16=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 71, 5, 71, 15 ]
80
[ "71/71=1", "15+1=16", "5*16=80" ]
Current State: 80:[71, 5, 71, 15], Operations: [] Exploring Operation: 71/71=1, Resulting Numbers: [5, 15, 1] Generated Node #2: [5, 15, 1] from Operation: 71/71=1 Current State: 80:[5, 15, 1], Operations: ['71/71=1'] Exploring Operation: 15+1=16, Resulting Numbers: [5, 16] Generated Node #3: [5, 16] from Operation: 15+1=16 Current State: 80:[5, 16], Operations: ['71/71=1', '15+1=16'] Exploring Operation: 5*16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 58, 2, 54, 44 ]
24
[ "58+54=112", "2*44=88", "112-88=24" ]
Current State: 24:[58, 2, 54, 44], Operations: [] Exploring Operation: 58+54=112, Resulting Numbers: [2, 44, 112] Generated Node #2: [2, 44, 112] from Operation: 58+54=112 Current State: 24:[2, 44, 112], Operations: ['58+54=112'] Exploring Operation: 2*44=88, Resulting Numbers: [112, 88] Generated Node #3: [112, 88] from Operation: 2*44=88 Current State: 24:[112, 88], Operations: ['58+54=112', '2*44=88'] Exploring Operation: 112-88=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 8, 92, 6, 84 ]
58
[ "92-84=8", "8*8=64", "64-6=58" ]
Current State: 58:[8, 92, 6, 84], Operations: [] Exploring Operation: 92-84=8, Resulting Numbers: [8, 6, 8] Generated Node #2: [8, 6, 8] from Operation: 92-84=8 Current State: 58:[8, 6, 8], Operations: ['92-84=8'] Exploring Operation: 8*8=64, Resulting Numbers: [6, 64] Generated Node #3: [6, 64] from Operation: 8*8=64 Current State: 58:[6, 64], Operations: ['92-84=8', '8*8=64'] Exploring Operation: 64-6=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 8, 72, 47, 37 ]
19
[ "72/8=9", "47-37=10", "9+10=19" ]
Current State: 19:[8, 72, 47, 37], Operations: [] Exploring Operation: 72/8=9, Resulting Numbers: [47, 37, 9] Generated Node #2: [47, 37, 9] from Operation: 72/8=9 Current State: 19:[47, 37, 9], Operations: ['72/8=9'] Exploring Operation: 47-37=10, Resulting Numbers: [9, 10] Generated Node #3: [9, 10] from Operation: 47-37=10 Current State: 19:[9, 10], Operations: ['72/8=9', '47-37=10'] Exploring Operation: 9+10=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 57, 66, 3, 29 ]
97
[ "57+66=123", "29-3=26", "123-26=97" ]
Current State: 97:[57, 66, 3, 29], Operations: [] Exploring Operation: 57+66=123, Resulting Numbers: [3, 29, 123] Generated Node #2: [3, 29, 123] from Operation: 57+66=123 Current State: 97:[3, 29, 123], Operations: ['57+66=123'] Exploring Operation: 29-3=26, Resulting Numbers: [123, 26] Generated Node #3: [123, 26] from Operation: 29-3=26 Current State: 97:[123, 26], Operations: ['57+66=123', '29-3=26'] Exploring Operation: 123-26=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 25, 66, 39, 33 ]
31
[ "66-25=41", "39+33=72", "72-41=31" ]
Current State: 31:[25, 66, 39, 33], Operations: [] Exploring Operation: 66-25=41, Resulting Numbers: [39, 33, 41] Generated Node #2: [39, 33, 41] from Operation: 66-25=41 Current State: 31:[39, 33, 41], Operations: ['66-25=41'] Exploring Operation: 39+33=72, Resulting Numbers: [41, 72] Generated Node #3: [41, 72] from Operation: 39+33=72 Current State: 31:[41, 72], Operations: ['66-25=41', '39+33=72'] Exploring Operation: 72-41=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 79, 83, 62, 81 ]
52
[ "81-79=2", "62/2=31", "83-31=52" ]
Current State: 52:[79, 83, 62, 81], Operations: [] Exploring Operation: 81-79=2, Resulting Numbers: [83, 62, 2] Generated Node #2: [83, 62, 2] from Operation: 81-79=2 Current State: 52:[83, 62, 2], Operations: ['81-79=2'] Exploring Operation: 62/2=31, Resulting Numbers: [83, 31] Generated Node #3: [83, 31] from Operation: 62/2=31 Current State: 52:[83, 31], Operations: ['81-79=2', '62/2=31'] Exploring Operation: 83-31=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 80, 56, 99, 22 ]
97
[ "80-56=24", "99+22=121", "121-24=97" ]
Current State: 97:[80, 56, 99, 22], Operations: [] Exploring Operation: 80-56=24, Resulting Numbers: [99, 22, 24] Generated Node #2: [99, 22, 24] from Operation: 80-56=24 Current State: 97:[99, 22, 24], Operations: ['80-56=24'] Exploring Operation: 99+22=121, Resulting Numbers: [24, 121] Generated Node #3: [24, 121] from Operation: 99+22=121 Current State: 97:[24, 121], Operations: ['80-56=24', '99+22=121'] Exploring Operation: 121-24=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 90, 57, 81, 49 ]
46
[ "90+81=171", "171/57=3", "49-3=46" ]
Current State: 46:[90, 57, 81, 49], Operations: [] Exploring Operation: 90+81=171, Resulting Numbers: [57, 49, 171] Generated Node #2: [57, 49, 171] from Operation: 90+81=171 Current State: 46:[57, 49, 171], Operations: ['90+81=171'] Exploring Operation: 171/57=3, Resulting Numbers: [49, 3] Generated Node #3: [49, 3] from Operation: 171/57=3 Current State: 46:[49, 3], Operations: ['90+81=171', '171/57=3'] Exploring Operation: 49-3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 22, 35, 27, 33 ]
93
[ "35+27=62", "33*62=2046", "2046/22=93" ]
Current State: 93:[22, 35, 27, 33], Operations: [] Exploring Operation: 35+27=62, Resulting Numbers: [22, 33, 62] Generated Node #2: [22, 33, 62] from Operation: 35+27=62 Current State: 93:[22, 33, 62], Operations: ['35+27=62'] Exploring Operation: 33*62=2046, Resulting Numbers: [22, 2046] Generated Node #3: [22, 2046] from Operation: 33*62=2046 Current State: 93:[22, 2046], Operations: ['35+27=62', '33*62=2046'] Exploring Operation: 2046/22=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 26, 70, 87, 85 ]
31
[ "87-70=17", "85/17=5", "26+5=31" ]
Current State: 31:[26, 70, 87, 85], Operations: [] Exploring Operation: 87-70=17, Resulting Numbers: [26, 85, 17] Generated Node #2: [26, 85, 17] from Operation: 87-70=17 Current State: 31:[26, 85, 17], Operations: ['87-70=17'] Exploring Operation: 85/17=5, Resulting Numbers: [26, 5] Generated Node #3: [26, 5] from Operation: 85/17=5 Current State: 31:[26, 5], Operations: ['87-70=17', '85/17=5'] Exploring Operation: 26+5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 49, 56, 4, 13 ]
59
[ "56-49=7", "4*13=52", "7+52=59" ]
Current State: 59:[49, 56, 4, 13], Operations: [] Exploring Operation: 56-49=7, Resulting Numbers: [4, 13, 7] Generated Node #2: [4, 13, 7] from Operation: 56-49=7 Current State: 59:[4, 13, 7], Operations: ['56-49=7'] Exploring Operation: 4*13=52, Resulting Numbers: [7, 52] Generated Node #3: [7, 52] from Operation: 4*13=52 Current State: 59:[7, 52], Operations: ['56-49=7', '4*13=52'] Exploring Operation: 7+52=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 14, 21, 35, 44 ]
48
[ "21+35=56", "56/14=4", "44+4=48" ]
Current State: 48:[14, 21, 35, 44], Operations: [] Exploring Operation: 21+35=56, Resulting Numbers: [14, 44, 56] Generated Node #2: [14, 44, 56] from Operation: 21+35=56 Current State: 48:[14, 44, 56], Operations: ['21+35=56'] Exploring Operation: 56/14=4, Resulting Numbers: [44, 4] Generated Node #3: [44, 4] from Operation: 56/14=4 Current State: 48:[44, 4], Operations: ['21+35=56', '56/14=4'] Exploring Operation: 44+4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 93, 89, 68, 60 ]
53
[ "93-89=4", "60/4=15", "68-15=53" ]
Current State: 53:[93, 89, 68, 60], Operations: [] Exploring Operation: 93-89=4, Resulting Numbers: [68, 60, 4] Generated Node #2: [68, 60, 4] from Operation: 93-89=4 Current State: 53:[68, 60, 4], Operations: ['93-89=4'] Exploring Operation: 60/4=15, Resulting Numbers: [68, 15] Generated Node #3: [68, 15] from Operation: 60/4=15 Current State: 53:[68, 15], Operations: ['93-89=4', '60/4=15'] Exploring Operation: 68-15=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 27, 36, 14, 81 ]
86
[ "36-27=9", "14+81=95", "95-9=86" ]
Current State: 86:[27, 36, 14, 81], Operations: [] Exploring Operation: 36-27=9, Resulting Numbers: [14, 81, 9] Generated Node #2: [14, 81, 9] from Operation: 36-27=9 Current State: 86:[14, 81, 9], Operations: ['36-27=9'] Exploring Operation: 14+81=95, Resulting Numbers: [9, 95] Generated Node #3: [9, 95] from Operation: 14+81=95 Current State: 86:[9, 95], Operations: ['36-27=9', '14+81=95'] Exploring Operation: 95-9=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 50, 82, 68, 46 ]
49
[ "82+68=150", "150/50=3", "46+3=49" ]
Current State: 49:[50, 82, 68, 46], Operations: [] Exploring Operation: 82+68=150, Resulting Numbers: [50, 46, 150] Generated Node #2: [50, 46, 150] from Operation: 82+68=150 Current State: 49:[50, 46, 150], Operations: ['82+68=150'] Exploring Operation: 150/50=3, Resulting Numbers: [46, 3] Generated Node #3: [46, 3] from Operation: 150/50=3 Current State: 49:[46, 3], Operations: ['82+68=150', '150/50=3'] Exploring Operation: 46+3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 6, 79, 43, 7 ]
79
[ "6*7=42", "43-42=1", "79*1=79" ]
Current State: 79:[6, 79, 43, 7], Operations: [] Exploring Operation: 6*7=42, Resulting Numbers: [79, 43, 42] Generated Node #2: [79, 43, 42] from Operation: 6*7=42 Current State: 79:[79, 43, 42], Operations: ['6*7=42'] Exploring Operation: 43-42=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 43-42=1 Current State: 79:[79, 1], Operations: ['6*7=42', '43-42=1'] Exploring Operation: 79*1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 48, 33, 66, 35 ]
96
[ "66-33=33", "35-33=2", "48*2=96" ]
Current State: 96:[48, 33, 66, 35], Operations: [] Exploring Operation: 66-33=33, Resulting Numbers: [48, 35, 33] Generated Node #2: [48, 35, 33] from Operation: 66-33=33 Current State: 96:[48, 35, 33], Operations: ['66-33=33'] Exploring Operation: 35-33=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 35-33=2 Current State: 96:[48, 2], Operations: ['66-33=33', '35-33=2'] Exploring Operation: 48*2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 60, 4, 8, 8 ]
56
[ "60-4=56", "8-8=0", "56+0=56" ]
Current State: 56:[60, 4, 8, 8], Operations: [] Exploring Operation: 60-4=56, Resulting Numbers: [8, 8, 56] Generated Node #2: [8, 8, 56] from Operation: 60-4=56 Current State: 56:[8, 8, 56], Operations: ['60-4=56'] Exploring Operation: 8-8=0, Resulting Numbers: [56, 0] Generated Node #3: [56, 0] from Operation: 8-8=0 Current State: 56:[56, 0], Operations: ['60-4=56', '8-8=0'] Exploring Operation: 56+0=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 6, 7, 81, 35 ]
33
[ "6+7=13", "81-35=46", "46-13=33" ]
Current State: 33:[6, 7, 81, 35], Operations: [] Exploring Operation: 6+7=13, Resulting Numbers: [81, 35, 13] Generated Node #2: [81, 35, 13] from Operation: 6+7=13 Current State: 33:[81, 35, 13], Operations: ['6+7=13'] Exploring Operation: 81-35=46, Resulting Numbers: [13, 46] Generated Node #3: [13, 46] from Operation: 81-35=46 Current State: 33:[13, 46], Operations: ['6+7=13', '81-35=46'] Exploring Operation: 46-13=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 38, 60, 46, 71 ]
73
[ "38+60=98", "71-46=25", "98-25=73" ]
Current State: 73:[38, 60, 46, 71], Operations: [] Exploring Operation: 38+60=98, Resulting Numbers: [46, 71, 98] Generated Node #2: [46, 71, 98] from Operation: 38+60=98 Current State: 73:[46, 71, 98], Operations: ['38+60=98'] Exploring Operation: 71-46=25, Resulting Numbers: [98, 25] Generated Node #3: [98, 25] from Operation: 71-46=25 Current State: 73:[98, 25], Operations: ['38+60=98', '71-46=25'] Exploring Operation: 98-25=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 10, 13, 76, 29 ]
73
[ "10+29=39", "39/13=3", "76-3=73" ]
Current State: 73:[10, 13, 76, 29], Operations: [] Exploring Operation: 10+29=39, Resulting Numbers: [13, 76, 39] Generated Node #2: [13, 76, 39] from Operation: 10+29=39 Current State: 73:[13, 76, 39], Operations: ['10+29=39'] Exploring Operation: 39/13=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 39/13=3 Current State: 73:[76, 3], Operations: ['10+29=39', '39/13=3'] Exploring Operation: 76-3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 1, 69, 35, 17 ]
86
[ "69-1=68", "35-17=18", "68+18=86" ]
Current State: 86:[1, 69, 35, 17], Operations: [] Exploring Operation: 69-1=68, Resulting Numbers: [35, 17, 68] Generated Node #2: [35, 17, 68] from Operation: 69-1=68 Current State: 86:[35, 17, 68], Operations: ['69-1=68'] Exploring Operation: 35-17=18, Resulting Numbers: [68, 18] Generated Node #3: [68, 18] from Operation: 35-17=18 Current State: 86:[68, 18], Operations: ['69-1=68', '35-17=18'] Exploring Operation: 68+18=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 80, 29, 76, 5 ]
59
[ "29+76=105", "105/5=21", "80-21=59" ]
Current State: 59:[80, 29, 76, 5], Operations: [] Exploring Operation: 29+76=105, Resulting Numbers: [80, 5, 105] Generated Node #2: [80, 5, 105] from Operation: 29+76=105 Current State: 59:[80, 5, 105], Operations: ['29+76=105'] Exploring Operation: 105/5=21, Resulting Numbers: [80, 21] Generated Node #3: [80, 21] from Operation: 105/5=21 Current State: 59:[80, 21], Operations: ['29+76=105', '105/5=21'] Exploring Operation: 80-21=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 49, 98, 65, 33 ]
49
[ "49+98=147", "65+33=98", "147-98=49" ]
Current State: 49:[49, 98, 65, 33], Operations: [] Exploring Operation: 49+98=147, Resulting Numbers: [65, 33, 147] Generated Node #2: [65, 33, 147] from Operation: 49+98=147 Current State: 49:[65, 33, 147], Operations: ['49+98=147'] Exploring Operation: 65+33=98, Resulting Numbers: [147, 98] Generated Node #3: [147, 98] from Operation: 65+33=98 Current State: 49:[147, 98], Operations: ['49+98=147', '65+33=98'] Exploring Operation: 147-98=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 16, 97, 57, 74 ]
48
[ "97+74=171", "16*171=2736", "2736/57=48" ]
Current State: 48:[16, 97, 57, 74], Operations: [] Exploring Operation: 97+74=171, Resulting Numbers: [16, 57, 171] Generated Node #2: [16, 57, 171] from Operation: 97+74=171 Current State: 48:[16, 57, 171], Operations: ['97+74=171'] Exploring Operation: 16*171=2736, Resulting Numbers: [57, 2736] Generated Node #3: [57, 2736] from Operation: 16*171=2736 Current State: 48:[57, 2736], Operations: ['97+74=171', '16*171=2736'] Exploring Operation: 2736/57=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 86, 38, 16, 29 ]
26
[ "86-38=48", "48/16=3", "29-3=26" ]
Current State: 26:[86, 38, 16, 29], Operations: [] Exploring Operation: 86-38=48, Resulting Numbers: [16, 29, 48] Generated Node #2: [16, 29, 48] from Operation: 86-38=48 Current State: 26:[16, 29, 48], Operations: ['86-38=48'] Exploring Operation: 48/16=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 48/16=3 Current State: 26:[29, 3], Operations: ['86-38=48', '48/16=3'] Exploring Operation: 29-3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 4, 21, 92, 86 ]
45
[ "92-86=6", "4*6=24", "21+24=45" ]
Current State: 45:[4, 21, 92, 86], Operations: [] Exploring Operation: 92-86=6, Resulting Numbers: [4, 21, 6] Generated Node #2: [4, 21, 6] from Operation: 92-86=6 Current State: 45:[4, 21, 6], Operations: ['92-86=6'] Exploring Operation: 4*6=24, Resulting Numbers: [21, 24] Generated Node #3: [21, 24] from Operation: 4*6=24 Current State: 45:[21, 24], Operations: ['92-86=6', '4*6=24'] Exploring Operation: 21+24=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 23, 5, 26, 94 ]
59
[ "94-23=71", "5*26=130", "130-71=59" ]
Current State: 59:[23, 5, 26, 94], Operations: [] Exploring Operation: 94-23=71, Resulting Numbers: [5, 26, 71] Generated Node #2: [5, 26, 71] from Operation: 94-23=71 Current State: 59:[5, 26, 71], Operations: ['94-23=71'] Exploring Operation: 5*26=130, Resulting Numbers: [71, 130] Generated Node #3: [71, 130] from Operation: 5*26=130 Current State: 59:[71, 130], Operations: ['94-23=71', '5*26=130'] Exploring Operation: 130-71=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 88, 47, 3, 39 ]
54
[ "88-47=41", "39/3=13", "41+13=54" ]
Current State: 54:[88, 47, 3, 39], Operations: [] Exploring Operation: 88-47=41, Resulting Numbers: [3, 39, 41] Generated Node #2: [3, 39, 41] from Operation: 88-47=41 Current State: 54:[3, 39, 41], Operations: ['88-47=41'] Exploring Operation: 39/3=13, Resulting Numbers: [41, 13] Generated Node #3: [41, 13] from Operation: 39/3=13 Current State: 54:[41, 13], Operations: ['88-47=41', '39/3=13'] Exploring Operation: 41+13=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 69, 68, 60, 59 ]
80
[ "69-59=10", "68-60=8", "10*8=80" ]
Current State: 80:[69, 68, 60, 59], Operations: [] Exploring Operation: 69-59=10, Resulting Numbers: [68, 60, 10] Generated Node #2: [68, 60, 10] from Operation: 69-59=10 Current State: 80:[68, 60, 10], Operations: ['69-59=10'] Exploring Operation: 68-60=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 68-60=8 Current State: 80:[10, 8], Operations: ['69-59=10', '68-60=8'] Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 28, 14, 11, 98 ]
14
[ "14-11=3", "28*3=84", "98-84=14" ]
Current State: 14:[28, 14, 11, 98], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [28, 98, 3] Generated Node #2: [28, 98, 3] from Operation: 14-11=3 Current State: 14:[28, 98, 3], Operations: ['14-11=3'] Exploring Operation: 28*3=84, Resulting Numbers: [98, 84] Generated Node #3: [98, 84] from Operation: 28*3=84 Current State: 14:[98, 84], Operations: ['14-11=3', '28*3=84'] Exploring Operation: 98-84=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 68, 11, 60, 78 ]
75
[ "68-11=57", "78-60=18", "57+18=75" ]
Current State: 75:[68, 11, 60, 78], Operations: [] Exploring Operation: 68-11=57, Resulting Numbers: [60, 78, 57] Generated Node #2: [60, 78, 57] from Operation: 68-11=57 Current State: 75:[60, 78, 57], Operations: ['68-11=57'] Exploring Operation: 78-60=18, Resulting Numbers: [57, 18] Generated Node #3: [57, 18] from Operation: 78-60=18 Current State: 75:[57, 18], Operations: ['68-11=57', '78-60=18'] Exploring Operation: 57+18=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 9, 85, 41, 72 ]
37
[ "85-9=76", "41+72=113", "113-76=37" ]
Current State: 37:[9, 85, 41, 72], Operations: [] Exploring Operation: 85-9=76, Resulting Numbers: [41, 72, 76] Generated Node #2: [41, 72, 76] from Operation: 85-9=76 Current State: 37:[41, 72, 76], Operations: ['85-9=76'] Exploring Operation: 41+72=113, Resulting Numbers: [76, 113] Generated Node #3: [76, 113] from Operation: 41+72=113 Current State: 37:[76, 113], Operations: ['85-9=76', '41+72=113'] Exploring Operation: 113-76=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 12, 90, 96, 12 ]
70
[ "90-12=78", "96/12=8", "78-8=70" ]
Current State: 70:[12, 90, 96, 12], Operations: [] Exploring Operation: 90-12=78, Resulting Numbers: [96, 78] Generated Node #2: [96, 78] from Operation: 90-12=78 Current State: 70:[96, 78], Operations: ['90-12=78'] Exploring Operation: 96/12=8, Resulting Numbers: [78, 8] Generated Node #3: [78, 8] from Operation: 96/12=8 Current State: 70:[78, 8], Operations: ['90-12=78', '96/12=8'] Exploring Operation: 78-8=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 81, 10, 31, 82 ]
41
[ "82-81=1", "10+31=41", "1*41=41" ]
Current State: 41:[81, 10, 31, 82], Operations: [] Exploring Operation: 82-81=1, Resulting Numbers: [10, 31, 1] Generated Node #2: [10, 31, 1] from Operation: 82-81=1 Current State: 41:[10, 31, 1], Operations: ['82-81=1'] Exploring Operation: 10+31=41, Resulting Numbers: [1, 41] Generated Node #3: [1, 41] from Operation: 10+31=41 Current State: 41:[1, 41], Operations: ['82-81=1', '10+31=41'] Exploring Operation: 1*41=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 18, 25, 28, 84 ]
46
[ "18+25=43", "84/28=3", "43+3=46" ]
Current State: 46:[18, 25, 28, 84], Operations: [] Exploring Operation: 18+25=43, Resulting Numbers: [28, 84, 43] Generated Node #2: [28, 84, 43] from Operation: 18+25=43 Current State: 46:[28, 84, 43], Operations: ['18+25=43'] Exploring Operation: 84/28=3, Resulting Numbers: [43, 3] Generated Node #3: [43, 3] from Operation: 84/28=3 Current State: 46:[43, 3], Operations: ['18+25=43', '84/28=3'] Exploring Operation: 43+3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 86, 73, 30, 21 ]
23
[ "73-30=43", "86/43=2", "21+2=23" ]
Current State: 23:[86, 73, 30, 21], Operations: [] Exploring Operation: 73-30=43, Resulting Numbers: [86, 21, 43] Generated Node #2: [86, 21, 43] from Operation: 73-30=43 Current State: 23:[86, 21, 43], Operations: ['73-30=43'] Exploring Operation: 86/43=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 86/43=2 Current State: 23:[21, 2], Operations: ['73-30=43', '86/43=2'] Exploring Operation: 21+2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 39, 22, 63, 52 ]
72
[ "39+22=61", "63-52=11", "61+11=72" ]
Current State: 72:[39, 22, 63, 52], Operations: [] Exploring Operation: 39+22=61, Resulting Numbers: [63, 52, 61] Generated Node #2: [63, 52, 61] from Operation: 39+22=61 Current State: 72:[63, 52, 61], Operations: ['39+22=61'] Exploring Operation: 63-52=11, Resulting Numbers: [61, 11] Generated Node #3: [61, 11] from Operation: 63-52=11 Current State: 72:[61, 11], Operations: ['39+22=61', '63-52=11'] Exploring Operation: 61+11=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 81, 9, 18, 34 ]
32
[ "81/9=9", "18/9=2", "34-2=32" ]
Current State: 32:[81, 9, 18, 34], Operations: [] Exploring Operation: 81/9=9, Resulting Numbers: [18, 34, 9] Generated Node #2: [18, 34, 9] from Operation: 81/9=9 Current State: 32:[18, 34, 9], Operations: ['81/9=9'] Exploring Operation: 18/9=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 18/9=2 Current State: 32:[34, 2], Operations: ['81/9=9', '18/9=2'] Exploring Operation: 34-2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 24, 86, 95, 62 ]
95
[ "86-24=62", "95+62=157", "157-62=95" ]
Current State: 95:[24, 86, 95, 62], Operations: [] Exploring Operation: 86-24=62, Resulting Numbers: [95, 62, 62] Generated Node #2: [95, 62, 62] from Operation: 86-24=62 Current State: 95:[95, 62, 62], Operations: ['86-24=62'] Exploring Operation: 95+62=157, Resulting Numbers: [157] 157,95 equal: Goal Reached Exploring Operation: 157-62=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 81, 29, 54, 61 ]
63
[ "81-29=52", "54+61=115", "115-52=63" ]
Current State: 63:[81, 29, 54, 61], Operations: [] Exploring Operation: 81-29=52, Resulting Numbers: [54, 61, 52] Generated Node #2: [54, 61, 52] from Operation: 81-29=52 Current State: 63:[54, 61, 52], Operations: ['81-29=52'] Exploring Operation: 54+61=115, Resulting Numbers: [52, 115] Generated Node #3: [52, 115] from Operation: 54+61=115 Current State: 63:[52, 115], Operations: ['81-29=52', '54+61=115'] Exploring Operation: 115-52=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 44, 65, 34, 3 ]
78
[ "44+65=109", "34-3=31", "109-31=78" ]
Current State: 78:[44, 65, 34, 3], Operations: [] Exploring Operation: 44+65=109, Resulting Numbers: [34, 3, 109] Generated Node #2: [34, 3, 109] from Operation: 44+65=109 Current State: 78:[34, 3, 109], Operations: ['44+65=109'] Exploring Operation: 34-3=31, Resulting Numbers: [109, 31] Generated Node #3: [109, 31] from Operation: 34-3=31 Current State: 78:[109, 31], Operations: ['44+65=109', '34-3=31'] Exploring Operation: 109-31=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 88, 13, 66, 58 ]
83
[ "88-13=75", "66-58=8", "75+8=83" ]
Current State: 83:[88, 13, 66, 58], Operations: [] Exploring Operation: 88-13=75, Resulting Numbers: [66, 58, 75] Generated Node #2: [66, 58, 75] from Operation: 88-13=75 Current State: 83:[66, 58, 75], Operations: ['88-13=75'] Exploring Operation: 66-58=8, Resulting Numbers: [75, 8] Generated Node #3: [75, 8] from Operation: 66-58=8 Current State: 83:[75, 8], Operations: ['88-13=75', '66-58=8'] Exploring Operation: 75+8=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 34, 55, 90, 1 ]
54
[ "34-1=33", "90*33=2970", "2970/55=54" ]
Current State: 54:[34, 55, 90, 1], Operations: [] Exploring Operation: 34-1=33, Resulting Numbers: [55, 90, 33] Generated Node #2: [55, 90, 33] from Operation: 34-1=33 Current State: 54:[55, 90, 33], Operations: ['34-1=33'] Exploring Operation: 90*33=2970, Resulting Numbers: [55, 2970] Generated Node #3: [55, 2970] from Operation: 90*33=2970 Current State: 54:[55, 2970], Operations: ['34-1=33', '90*33=2970'] Exploring Operation: 2970/55=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 40, 1, 28, 8 ]
88
[ "40-1=39", "39-28=11", "8*11=88" ]
Current State: 88:[40, 1, 28, 8], Operations: [] Exploring Operation: 40-1=39, Resulting Numbers: [28, 8, 39] Generated Node #2: [28, 8, 39] from Operation: 40-1=39 Current State: 88:[28, 8, 39], Operations: ['40-1=39'] Exploring Operation: 39-28=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 39-28=11 Current State: 88:[8, 11], Operations: ['40-1=39', '39-28=11'] Exploring Operation: 8*11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 73, 84, 81, 2 ]
35
[ "84-73=11", "81-11=70", "70/2=35" ]
Current State: 35:[73, 84, 81, 2], Operations: [] Exploring Operation: 84-73=11, Resulting Numbers: [81, 2, 11] Generated Node #2: [81, 2, 11] from Operation: 84-73=11 Current State: 35:[81, 2, 11], Operations: ['84-73=11'] Exploring Operation: 81-11=70, Resulting Numbers: [2, 70] Generated Node #3: [2, 70] from Operation: 81-11=70 Current State: 35:[2, 70], Operations: ['84-73=11', '81-11=70'] Exploring Operation: 70/2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 65, 48, 44, 87 ]
13
[ "48+44=92", "92-87=5", "65/5=13" ]
Current State: 13:[65, 48, 44, 87], Operations: [] Exploring Operation: 48+44=92, Resulting Numbers: [65, 87, 92] Generated Node #2: [65, 87, 92] from Operation: 48+44=92 Current State: 13:[65, 87, 92], Operations: ['48+44=92'] Exploring Operation: 92-87=5, Resulting Numbers: [65, 5] Generated Node #3: [65, 5] from Operation: 92-87=5 Current State: 13:[65, 5], Operations: ['48+44=92', '92-87=5'] Exploring Operation: 65/5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 49, 61, 5, 63 ]
42
[ "49+61=110", "5+63=68", "110-68=42" ]
Current State: 42:[49, 61, 5, 63], Operations: [] Exploring Operation: 49+61=110, Resulting Numbers: [5, 63, 110] Generated Node #2: [5, 63, 110] from Operation: 49+61=110 Current State: 42:[5, 63, 110], Operations: ['49+61=110'] Exploring Operation: 5+63=68, Resulting Numbers: [110, 68] Generated Node #3: [110, 68] from Operation: 5+63=68 Current State: 42:[110, 68], Operations: ['49+61=110', '5+63=68'] Exploring Operation: 110-68=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 24, 77, 14, 42 ]
99
[ "42-24=18", "77*18=1386", "1386/14=99" ]
Current State: 99:[24, 77, 14, 42], Operations: [] Exploring Operation: 42-24=18, Resulting Numbers: [77, 14, 18] Generated Node #2: [77, 14, 18] from Operation: 42-24=18 Current State: 99:[77, 14, 18], Operations: ['42-24=18'] Exploring Operation: 77*18=1386, Resulting Numbers: [14, 1386] Generated Node #3: [14, 1386] from Operation: 77*18=1386 Current State: 99:[14, 1386], Operations: ['42-24=18', '77*18=1386'] Exploring Operation: 1386/14=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 4, 75, 47, 29 ]
83
[ "75-47=28", "4*28=112", "112-29=83" ]
Current State: 83:[4, 75, 47, 29], Operations: [] Exploring Operation: 75-47=28, Resulting Numbers: [4, 29, 28] Generated Node #2: [4, 29, 28] from Operation: 75-47=28 Current State: 83:[4, 29, 28], Operations: ['75-47=28'] Exploring Operation: 4*28=112, Resulting Numbers: [29, 112] Generated Node #3: [29, 112] from Operation: 4*28=112 Current State: 83:[29, 112], Operations: ['75-47=28', '4*28=112'] Exploring Operation: 112-29=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 47, 3, 14, 8 ]
89
[ "3+14=17", "8*17=136", "136-47=89" ]
Current State: 89:[47, 3, 14, 8], Operations: [] Exploring Operation: 3+14=17, Resulting Numbers: [47, 8, 17] Generated Node #2: [47, 8, 17] from Operation: 3+14=17 Current State: 89:[47, 8, 17], Operations: ['3+14=17'] Exploring Operation: 8*17=136, Resulting Numbers: [47, 136] Generated Node #3: [47, 136] from Operation: 8*17=136 Current State: 89:[47, 136], Operations: ['3+14=17', '8*17=136'] Exploring Operation: 136-47=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 2, 39, 15, 94 ]
67
[ "39+15=54", "54/2=27", "94-27=67" ]
Current State: 67:[2, 39, 15, 94], Operations: [] Exploring Operation: 39+15=54, Resulting Numbers: [2, 94, 54] Generated Node #2: [2, 94, 54] from Operation: 39+15=54 Current State: 67:[2, 94, 54], Operations: ['39+15=54'] Exploring Operation: 54/2=27, Resulting Numbers: [94, 27] Generated Node #3: [94, 27] from Operation: 54/2=27 Current State: 67:[94, 27], Operations: ['39+15=54', '54/2=27'] Exploring Operation: 94-27=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4