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
[ 17, 8, 48, 8 ]
66
[ "17+48=65", "8/8=1", "65+1=66" ]
Current State: 66:[17, 8, 48, 8], Operations: [] Exploring Operation: 17+48=65, Resulting Numbers: [8, 8, 65] Generated Node #2: [8, 8, 65] from Operation: 17+48=65 Current State: 66:[8, 8, 65], Operations: ['17+48=65'] Exploring Operation: 8/8=1, Resulting Numbers: [65, 1] Generated Node #3: [65, 1] from Operation: 8/8=1 Current State: 66:[65, 1], Operations: ['17+48=65', '8/8=1'] Exploring Operation: 65+1=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 51, 96, 14, 2 ]
20
[ "51*2=102", "96-14=82", "102-82=20" ]
Current State: 20:[51, 96, 14, 2], Operations: [] Exploring Operation: 51*2=102, Resulting Numbers: [96, 14, 102] Generated Node #2: [96, 14, 102] from Operation: 51*2=102 Current State: 20:[96, 14, 102], Operations: ['51*2=102'] Exploring Operation: 96-14=82, Resulting Numbers: [102, 82] Generated Node #3: [102, 82] from Operation: 96-14=82 Current State: 20:[102, 82], Operations: ['51*2=102', '96-14=82'] Exploring Operation: 102-82=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 27, 69, 33, 20 ]
83
[ "27+69=96", "33-20=13", "96-13=83" ]
Current State: 83:[27, 69, 33, 20], Operations: [] Exploring Operation: 27+69=96, Resulting Numbers: [33, 20, 96] Generated Node #2: [33, 20, 96] from Operation: 27+69=96 Current State: 83:[33, 20, 96], Operations: ['27+69=96'] Exploring Operation: 33-20=13, Resulting Numbers: [96, 13] Generated Node #3: [96, 13] from Operation: 33-20=13 Current State: 83:[96, 13], Operations: ['27+69=96', '33-20=13'] Exploring Operation: 96-13=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 9, 7, 83, 54 ]
99
[ "9*83=747", "747-54=693", "693/7=99" ]
Current State: 99:[9, 7, 83, 54], Operations: [] Exploring Operation: 9*83=747, Resulting Numbers: [7, 54, 747] Generated Node #2: [7, 54, 747] from Operation: 9*83=747 Current State: 99:[7, 54, 747], Operations: ['9*83=747'] Exploring Operation: 747-54=693, Resulting Numbers: [7, 693] Generated Node #3: [7, 693] from Operation: 747-54=693 Current State: 99:[7, 693], Operations: ['9*83=747', '747-54=693'] Exploring Operation: 693/7=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 20, 12, 60, 68 ]
83
[ "60/20=3", "12+68=80", "3+80=83" ]
Current State: 83:[20, 12, 60, 68], Operations: [] Exploring Operation: 60/20=3, Resulting Numbers: [12, 68, 3] Generated Node #2: [12, 68, 3] from Operation: 60/20=3 Current State: 83:[12, 68, 3], Operations: ['60/20=3'] Exploring Operation: 12+68=80, Resulting Numbers: [3, 80] Generated Node #3: [3, 80] from Operation: 12+68=80 Current State: 83:[3, 80], Operations: ['60/20=3', '12+68=80'] Exploring Operation: 3+80=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 39, 85, 3, 18 ]
83
[ "39-3=36", "36/18=2", "85-2=83" ]
Current State: 83:[39, 85, 3, 18], Operations: [] Exploring Operation: 39-3=36, Resulting Numbers: [85, 18, 36] Generated Node #2: [85, 18, 36] from Operation: 39-3=36 Current State: 83:[85, 18, 36], Operations: ['39-3=36'] Exploring Operation: 36/18=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 36/18=2 Current State: 83:[85, 2], Operations: ['39-3=36', '36/18=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 60, 51, 49, 62 ]
98
[ "60+51=111", "62-49=13", "111-13=98" ]
Current State: 98:[60, 51, 49, 62], Operations: [] Exploring Operation: 60+51=111, Resulting Numbers: [49, 62, 111] Generated Node #2: [49, 62, 111] from Operation: 60+51=111 Current State: 98:[49, 62, 111], Operations: ['60+51=111'] Exploring Operation: 62-49=13, Resulting Numbers: [111, 13] Generated Node #3: [111, 13] from Operation: 62-49=13 Current State: 98:[111, 13], Operations: ['60+51=111', '62-49=13'] Exploring Operation: 111-13=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 16, 40, 2, 39 ]
11
[ "16+40=56", "56/2=28", "39-28=11" ]
Current State: 11:[16, 40, 2, 39], Operations: [] Exploring Operation: 16+40=56, Resulting Numbers: [2, 39, 56] Generated Node #2: [2, 39, 56] from Operation: 16+40=56 Current State: 11:[2, 39, 56], Operations: ['16+40=56'] Exploring Operation: 56/2=28, Resulting Numbers: [39, 28] Generated Node #3: [39, 28] from Operation: 56/2=28 Current State: 11:[39, 28], Operations: ['16+40=56', '56/2=28'] Exploring Operation: 39-28=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 61, 21, 9, 18 ]
73
[ "61+21=82", "18-9=9", "82-9=73" ]
Current State: 73:[61, 21, 9, 18], Operations: [] Exploring Operation: 61+21=82, Resulting Numbers: [9, 18, 82] Generated Node #2: [9, 18, 82] from Operation: 61+21=82 Current State: 73:[9, 18, 82], Operations: ['61+21=82'] Exploring Operation: 18-9=9, Resulting Numbers: [82, 9] Generated Node #3: [82, 9] from Operation: 18-9=9 Current State: 73:[82, 9], Operations: ['61+21=82', '18-9=9'] Exploring Operation: 82-9=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 62, 44, 81, 85 ]
51
[ "85-81=4", "44/4=11", "62-11=51" ]
Current State: 51:[62, 44, 81, 85], Operations: [] Exploring Operation: 85-81=4, Resulting Numbers: [62, 44, 4] Generated Node #2: [62, 44, 4] from Operation: 85-81=4 Current State: 51:[62, 44, 4], Operations: ['85-81=4'] Exploring Operation: 44/4=11, Resulting Numbers: [62, 11] Generated Node #3: [62, 11] from Operation: 44/4=11 Current State: 51:[62, 11], Operations: ['85-81=4', '44/4=11'] Exploring Operation: 62-11=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 29, 6, 13, 32 ]
68
[ "29-6=23", "13+32=45", "23+45=68" ]
Current State: 68:[29, 6, 13, 32], Operations: [] Exploring Operation: 29-6=23, Resulting Numbers: [13, 32, 23] Generated Node #2: [13, 32, 23] from Operation: 29-6=23 Current State: 68:[13, 32, 23], Operations: ['29-6=23'] Exploring Operation: 13+32=45, Resulting Numbers: [23, 45] Generated Node #3: [23, 45] from Operation: 13+32=45 Current State: 68:[23, 45], Operations: ['29-6=23', '13+32=45'] Exploring Operation: 23+45=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 3, 95, 17, 40 ]
35
[ "95-3=92", "17+40=57", "92-57=35" ]
Current State: 35:[3, 95, 17, 40], Operations: [] Exploring Operation: 95-3=92, Resulting Numbers: [17, 40, 92] Generated Node #2: [17, 40, 92] from Operation: 95-3=92 Current State: 35:[17, 40, 92], Operations: ['95-3=92'] Exploring Operation: 17+40=57, Resulting Numbers: [92, 57] Generated Node #3: [92, 57] from Operation: 17+40=57 Current State: 35:[92, 57], Operations: ['95-3=92', '17+40=57'] Exploring Operation: 92-57=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 43, 70, 12, 46 ]
41
[ "70-46=24", "24/12=2", "43-2=41" ]
Current State: 41:[43, 70, 12, 46], Operations: [] Exploring Operation: 70-46=24, Resulting Numbers: [43, 12, 24] Generated Node #2: [43, 12, 24] from Operation: 70-46=24 Current State: 41:[43, 12, 24], Operations: ['70-46=24'] Exploring Operation: 24/12=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 24/12=2 Current State: 41:[43, 2], Operations: ['70-46=24', '24/12=2'] Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 80, 42, 41, 41 ]
39
[ "80-42=38", "41/41=1", "38+1=39" ]
Current State: 39:[80, 42, 41, 41], Operations: [] Exploring Operation: 80-42=38, Resulting Numbers: [41, 41, 38] Generated Node #2: [41, 41, 38] from Operation: 80-42=38 Current State: 39:[41, 41, 38], Operations: ['80-42=38'] Exploring Operation: 41/41=1, Resulting Numbers: [38, 1] Generated Node #3: [38, 1] from Operation: 41/41=1 Current State: 39:[38, 1], Operations: ['80-42=38', '41/41=1'] Exploring Operation: 38+1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 6, 66, 51, 3 ]
45
[ "6-3=3", "66-51=15", "3*15=45" ]
Current State: 45:[6, 66, 51, 3], Operations: [] Exploring Operation: 6-3=3, Resulting Numbers: [66, 51, 3] Generated Node #2: [66, 51, 3] from Operation: 6-3=3 Current State: 45:[66, 51, 3], Operations: ['6-3=3'] Exploring Operation: 66-51=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 66-51=15 Current State: 45:[3, 15], Operations: ['6-3=3', '66-51=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 25, 98, 25, 7 ]
91
[ "25+98=123", "25+7=32", "123-32=91" ]
Current State: 91:[25, 98, 25, 7], Operations: [] Exploring Operation: 25+98=123, Resulting Numbers: [7, 123] Generated Node #2: [7, 123] from Operation: 25+98=123 Current State: 91:[7, 123], Operations: ['25+98=123'] Exploring Operation: 25+7=32, Resulting Numbers: [123, 32] Generated Node #3: [123, 32] from Operation: 25+7=32 Current State: 91:[123, 32], Operations: ['25+98=123', '25+7=32'] Exploring Operation: 123-32=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 42, 2, 89, 53 ]
98
[ "42+2=44", "89+53=142", "142-44=98" ]
Current State: 98:[42, 2, 89, 53], Operations: [] Exploring Operation: 42+2=44, Resulting Numbers: [89, 53, 44] Generated Node #2: [89, 53, 44] from Operation: 42+2=44 Current State: 98:[89, 53, 44], Operations: ['42+2=44'] Exploring Operation: 89+53=142, Resulting Numbers: [44, 142] Generated Node #3: [44, 142] from Operation: 89+53=142 Current State: 98:[44, 142], Operations: ['42+2=44', '89+53=142'] Exploring Operation: 142-44=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 9, 19, 66, 42 ]
44
[ "9+19=28", "66*28=1848", "1848/42=44" ]
Current State: 44:[9, 19, 66, 42], Operations: [] Exploring Operation: 9+19=28, Resulting Numbers: [66, 42, 28] Generated Node #2: [66, 42, 28] from Operation: 9+19=28 Current State: 44:[66, 42, 28], Operations: ['9+19=28'] Exploring Operation: 66*28=1848, Resulting Numbers: [42, 1848] Generated Node #3: [42, 1848] from Operation: 66*28=1848 Current State: 44:[42, 1848], Operations: ['9+19=28', '66*28=1848'] Exploring Operation: 1848/42=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 26, 92, 91, 58 ]
31
[ "26+92=118", "91+58=149", "149-118=31" ]
Current State: 31:[26, 92, 91, 58], Operations: [] Exploring Operation: 26+92=118, Resulting Numbers: [91, 58, 118] Generated Node #2: [91, 58, 118] from Operation: 26+92=118 Current State: 31:[91, 58, 118], Operations: ['26+92=118'] Exploring Operation: 91+58=149, Resulting Numbers: [118, 149] Generated Node #3: [118, 149] from Operation: 91+58=149 Current State: 31:[118, 149], Operations: ['26+92=118', '91+58=149'] Exploring Operation: 149-118=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 96, 9, 7, 96 ]
72
[ "96/96=1", "7+1=8", "9*8=72" ]
Current State: 72:[96, 9, 7, 96], Operations: [] Exploring Operation: 96/96=1, Resulting Numbers: [9, 7, 1] Generated Node #2: [9, 7, 1] from Operation: 96/96=1 Current State: 72:[9, 7, 1], Operations: ['96/96=1'] Exploring Operation: 7+1=8, Resulting Numbers: [9, 8] Generated Node #3: [9, 8] from Operation: 7+1=8 Current State: 72:[9, 8], Operations: ['96/96=1', '7+1=8'] Exploring Operation: 9*8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 25, 5, 64, 35 ]
46
[ "64-25=39", "35/5=7", "39+7=46" ]
Current State: 46:[25, 5, 64, 35], Operations: [] Exploring Operation: 64-25=39, Resulting Numbers: [5, 35, 39] Generated Node #2: [5, 35, 39] from Operation: 64-25=39 Current State: 46:[5, 35, 39], Operations: ['64-25=39'] Exploring Operation: 35/5=7, Resulting Numbers: [39, 7] Generated Node #3: [39, 7] from Operation: 35/5=7 Current State: 46:[39, 7], Operations: ['64-25=39', '35/5=7'] Exploring Operation: 39+7=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 98, 87, 51, 26 ]
66
[ "98-87=11", "51+26=77", "77-11=66" ]
Current State: 66:[98, 87, 51, 26], Operations: [] Exploring Operation: 98-87=11, Resulting Numbers: [51, 26, 11] Generated Node #2: [51, 26, 11] from Operation: 98-87=11 Current State: 66:[51, 26, 11], Operations: ['98-87=11'] Exploring Operation: 51+26=77, Resulting Numbers: [11, 77] Generated Node #3: [11, 77] from Operation: 51+26=77 Current State: 66:[11, 77], Operations: ['98-87=11', '51+26=77'] Exploring Operation: 77-11=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 55, 13, 6, 2 ]
40
[ "55+13=68", "68/2=34", "6+34=40" ]
Current State: 40:[55, 13, 6, 2], Operations: [] Exploring Operation: 55+13=68, Resulting Numbers: [6, 2, 68] Generated Node #2: [6, 2, 68] from Operation: 55+13=68 Current State: 40:[6, 2, 68], Operations: ['55+13=68'] Exploring Operation: 68/2=34, Resulting Numbers: [6, 34] Generated Node #3: [6, 34] from Operation: 68/2=34 Current State: 40:[6, 34], Operations: ['55+13=68', '68/2=34'] Exploring Operation: 6+34=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 46, 7, 78, 8 ]
68
[ "46+78=124", "7*8=56", "124-56=68" ]
Current State: 68:[46, 7, 78, 8], Operations: [] Exploring Operation: 46+78=124, Resulting Numbers: [7, 8, 124] Generated Node #2: [7, 8, 124] from Operation: 46+78=124 Current State: 68:[7, 8, 124], Operations: ['46+78=124'] Exploring Operation: 7*8=56, Resulting Numbers: [124, 56] Generated Node #3: [124, 56] from Operation: 7*8=56 Current State: 68:[124, 56], Operations: ['46+78=124', '7*8=56'] Exploring Operation: 124-56=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 3, 33, 21, 67 ]
57
[ "33/3=11", "67-21=46", "11+46=57" ]
Current State: 57:[3, 33, 21, 67], Operations: [] Exploring Operation: 33/3=11, Resulting Numbers: [21, 67, 11] Generated Node #2: [21, 67, 11] from Operation: 33/3=11 Current State: 57:[21, 67, 11], Operations: ['33/3=11'] Exploring Operation: 67-21=46, Resulting Numbers: [11, 46] Generated Node #3: [11, 46] from Operation: 67-21=46 Current State: 57:[11, 46], Operations: ['33/3=11', '67-21=46'] Exploring Operation: 11+46=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 2, 10, 60, 1 ]
68
[ "10-2=8", "60*1=60", "8+60=68" ]
Current State: 68:[2, 10, 60, 1], Operations: [] Exploring Operation: 10-2=8, Resulting Numbers: [60, 1, 8] Generated Node #2: [60, 1, 8] from Operation: 10-2=8 Current State: 68:[60, 1, 8], Operations: ['10-2=8'] Exploring Operation: 60*1=60, Resulting Numbers: [8, 60] Generated Node #3: [8, 60] from Operation: 60*1=60 Current State: 68:[8, 60], Operations: ['10-2=8', '60*1=60'] Exploring Operation: 8+60=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 34, 53, 84, 6 ]
97
[ "53-34=19", "84-6=78", "19+78=97" ]
Current State: 97:[34, 53, 84, 6], Operations: [] Exploring Operation: 53-34=19, Resulting Numbers: [84, 6, 19] Generated Node #2: [84, 6, 19] from Operation: 53-34=19 Current State: 97:[84, 6, 19], Operations: ['53-34=19'] Exploring Operation: 84-6=78, Resulting Numbers: [19, 78] Generated Node #3: [19, 78] from Operation: 84-6=78 Current State: 97:[19, 78], Operations: ['53-34=19', '84-6=78'] Exploring Operation: 19+78=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 49, 72, 8, 5 ]
35
[ "49-5=44", "72/8=9", "44-9=35" ]
Current State: 35:[49, 72, 8, 5], Operations: [] Exploring Operation: 49-5=44, Resulting Numbers: [72, 8, 44] Generated Node #2: [72, 8, 44] from Operation: 49-5=44 Current State: 35:[72, 8, 44], Operations: ['49-5=44'] Exploring Operation: 72/8=9, Resulting Numbers: [44, 9] Generated Node #3: [44, 9] from Operation: 72/8=9 Current State: 35:[44, 9], Operations: ['49-5=44', '72/8=9'] Exploring Operation: 44-9=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 43, 15, 3, 88 ]
33
[ "43+15=58", "3+88=91", "91-58=33" ]
Current State: 33:[43, 15, 3, 88], Operations: [] Exploring Operation: 43+15=58, Resulting Numbers: [3, 88, 58] Generated Node #2: [3, 88, 58] from Operation: 43+15=58 Current State: 33:[3, 88, 58], Operations: ['43+15=58'] Exploring Operation: 3+88=91, Resulting Numbers: [58, 91] Generated Node #3: [58, 91] from Operation: 3+88=91 Current State: 33:[58, 91], Operations: ['43+15=58', '3+88=91'] Exploring Operation: 91-58=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 95, 63, 94, 17 ]
45
[ "95-63=32", "94-17=77", "77-32=45" ]
Current State: 45:[95, 63, 94, 17], Operations: [] Exploring Operation: 95-63=32, Resulting Numbers: [94, 17, 32] Generated Node #2: [94, 17, 32] from Operation: 95-63=32 Current State: 45:[94, 17, 32], Operations: ['95-63=32'] Exploring Operation: 94-17=77, Resulting Numbers: [32, 77] Generated Node #3: [32, 77] from Operation: 94-17=77 Current State: 45:[32, 77], Operations: ['95-63=32', '94-17=77'] Exploring Operation: 77-32=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 19, 40, 50, 84 ]
25
[ "19+40=59", "84-50=34", "59-34=25" ]
Current State: 25:[19, 40, 50, 84], Operations: [] Exploring Operation: 19+40=59, Resulting Numbers: [50, 84, 59] Generated Node #2: [50, 84, 59] from Operation: 19+40=59 Current State: 25:[50, 84, 59], Operations: ['19+40=59'] Exploring Operation: 84-50=34, Resulting Numbers: [59, 34] Generated Node #3: [59, 34] from Operation: 84-50=34 Current State: 25:[59, 34], Operations: ['19+40=59', '84-50=34'] Exploring Operation: 59-34=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 26, 90, 96, 81 ]
63
[ "96-26=70", "81*70=5670", "5670/90=63" ]
Current State: 63:[26, 90, 96, 81], Operations: [] Exploring Operation: 96-26=70, Resulting Numbers: [90, 81, 70] Generated Node #2: [90, 81, 70] from Operation: 96-26=70 Current State: 63:[90, 81, 70], Operations: ['96-26=70'] Exploring Operation: 81*70=5670, Resulting Numbers: [90, 5670] Generated Node #3: [90, 5670] from Operation: 81*70=5670 Current State: 63:[90, 5670], Operations: ['96-26=70', '81*70=5670'] Exploring Operation: 5670/90=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 71, 13, 26, 6 ]
88
[ "71*6=426", "13*26=338", "426-338=88" ]
Current State: 88:[71, 13, 26, 6], Operations: [] Exploring Operation: 71*6=426, Resulting Numbers: [13, 26, 426] Generated Node #2: [13, 26, 426] from Operation: 71*6=426 Current State: 88:[13, 26, 426], Operations: ['71*6=426'] Exploring Operation: 13*26=338, Resulting Numbers: [426, 338] Generated Node #3: [426, 338] from Operation: 13*26=338 Current State: 88:[426, 338], Operations: ['71*6=426', '13*26=338'] Exploring Operation: 426-338=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 52, 33, 22, 2 ]
75
[ "52-2=50", "33*50=1650", "1650/22=75" ]
Current State: 75:[52, 33, 22, 2], Operations: [] Exploring Operation: 52-2=50, Resulting Numbers: [33, 22, 50] Generated Node #2: [33, 22, 50] from Operation: 52-2=50 Current State: 75:[33, 22, 50], Operations: ['52-2=50'] Exploring Operation: 33*50=1650, Resulting Numbers: [22, 1650] Generated Node #3: [22, 1650] from Operation: 33*50=1650 Current State: 75:[22, 1650], Operations: ['52-2=50', '33*50=1650'] Exploring Operation: 1650/22=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 69, 92, 9, 82 ]
68
[ "92-69=23", "9+82=91", "91-23=68" ]
Current State: 68:[69, 92, 9, 82], Operations: [] Exploring Operation: 92-69=23, Resulting Numbers: [9, 82, 23] Generated Node #2: [9, 82, 23] from Operation: 92-69=23 Current State: 68:[9, 82, 23], Operations: ['92-69=23'] Exploring Operation: 9+82=91, Resulting Numbers: [23, 91] Generated Node #3: [23, 91] from Operation: 9+82=91 Current State: 68:[23, 91], Operations: ['92-69=23', '9+82=91'] Exploring Operation: 91-23=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 46, 2, 49, 96 ]
23
[ "46*49=2254", "2+96=98", "2254/98=23" ]
Current State: 23:[46, 2, 49, 96], Operations: [] Exploring Operation: 46*49=2254, Resulting Numbers: [2, 96, 2254] Generated Node #2: [2, 96, 2254] from Operation: 46*49=2254 Current State: 23:[2, 96, 2254], Operations: ['46*49=2254'] Exploring Operation: 2+96=98, Resulting Numbers: [2254, 98] Generated Node #3: [2254, 98] from Operation: 2+96=98 Current State: 23:[2254, 98], Operations: ['46*49=2254', '2+96=98'] Exploring Operation: 2254/98=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 8, 88, 14, 11 ]
14
[ "88/8=11", "14+11=25", "25-11=14" ]
Current State: 14:[8, 88, 14, 11], Operations: [] Exploring Operation: 88/8=11, Resulting Numbers: [14, 11, 11] Generated Node #2: [14, 11, 11] from Operation: 88/8=11 Current State: 14:[14, 11, 11], Operations: ['88/8=11'] Exploring Operation: 14+11=25, Resulting Numbers: [25] 25,14 equal: Goal Reached Exploring Operation: 25-11=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 5, 23, 17, 55 ]
55
[ "23-5=18", "18-17=1", "55*1=55" ]
Current State: 55:[5, 23, 17, 55], Operations: [] Exploring Operation: 23-5=18, Resulting Numbers: [17, 55, 18] Generated Node #2: [17, 55, 18] from Operation: 23-5=18 Current State: 55:[17, 55, 18], Operations: ['23-5=18'] Exploring Operation: 18-17=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 18-17=1 Current State: 55:[55, 1], Operations: ['23-5=18', '18-17=1'] Exploring Operation: 55*1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 50, 29, 25, 73 ]
42
[ "50/25=2", "73-29=44", "44-2=42" ]
Current State: 42:[50, 29, 25, 73], Operations: [] Exploring Operation: 50/25=2, Resulting Numbers: [29, 73, 2] Generated Node #2: [29, 73, 2] from Operation: 50/25=2 Current State: 42:[29, 73, 2], Operations: ['50/25=2'] Exploring Operation: 73-29=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 73-29=44 Current State: 42:[2, 44], Operations: ['50/25=2', '73-29=44'] Exploring Operation: 44-2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 30, 14, 90, 8 ]
34
[ "90/30=3", "14*3=42", "42-8=34" ]
Current State: 34:[30, 14, 90, 8], Operations: [] Exploring Operation: 90/30=3, Resulting Numbers: [14, 8, 3] Generated Node #2: [14, 8, 3] from Operation: 90/30=3 Current State: 34:[14, 8, 3], Operations: ['90/30=3'] Exploring Operation: 14*3=42, Resulting Numbers: [8, 42] Generated Node #3: [8, 42] from Operation: 14*3=42 Current State: 34:[8, 42], Operations: ['90/30=3', '14*3=42'] Exploring Operation: 42-8=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 60, 11, 84, 70 ]
85
[ "60+11=71", "84-70=14", "71+14=85" ]
Current State: 85:[60, 11, 84, 70], Operations: [] Exploring Operation: 60+11=71, Resulting Numbers: [84, 70, 71] Generated Node #2: [84, 70, 71] from Operation: 60+11=71 Current State: 85:[84, 70, 71], Operations: ['60+11=71'] Exploring Operation: 84-70=14, Resulting Numbers: [71, 14] Generated Node #3: [71, 14] from Operation: 84-70=14 Current State: 85:[71, 14], Operations: ['60+11=71', '84-70=14'] Exploring Operation: 71+14=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 18, 46, 62, 76 ]
74
[ "18+46=64", "62+76=138", "138-64=74" ]
Current State: 74:[18, 46, 62, 76], Operations: [] Exploring Operation: 18+46=64, Resulting Numbers: [62, 76, 64] Generated Node #2: [62, 76, 64] from Operation: 18+46=64 Current State: 74:[62, 76, 64], Operations: ['18+46=64'] Exploring Operation: 62+76=138, Resulting Numbers: [64, 138] Generated Node #3: [64, 138] from Operation: 62+76=138 Current State: 74:[64, 138], Operations: ['18+46=64', '62+76=138'] Exploring Operation: 138-64=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 38, 76, 31, 22 ]
42
[ "76/38=2", "22/2=11", "31+11=42" ]
Current State: 42:[38, 76, 31, 22], Operations: [] Exploring Operation: 76/38=2, Resulting Numbers: [31, 22, 2] Generated Node #2: [31, 22, 2] from Operation: 76/38=2 Current State: 42:[31, 22, 2], Operations: ['76/38=2'] Exploring Operation: 22/2=11, Resulting Numbers: [31, 11] Generated Node #3: [31, 11] from Operation: 22/2=11 Current State: 42:[31, 11], Operations: ['76/38=2', '22/2=11'] Exploring Operation: 31+11=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 28, 64, 20, 31 ]
81
[ "28+64=92", "31-20=11", "92-11=81" ]
Current State: 81:[28, 64, 20, 31], Operations: [] Exploring Operation: 28+64=92, Resulting Numbers: [20, 31, 92] Generated Node #2: [20, 31, 92] from Operation: 28+64=92 Current State: 81:[20, 31, 92], Operations: ['28+64=92'] Exploring Operation: 31-20=11, Resulting Numbers: [92, 11] Generated Node #3: [92, 11] from Operation: 31-20=11 Current State: 81:[92, 11], Operations: ['28+64=92', '31-20=11'] Exploring Operation: 92-11=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 68, 5, 47, 93 ]
78
[ "93-68=25", "5*25=125", "125-47=78" ]
Current State: 78:[68, 5, 47, 93], Operations: [] Exploring Operation: 93-68=25, Resulting Numbers: [5, 47, 25] Generated Node #2: [5, 47, 25] from Operation: 93-68=25 Current State: 78:[5, 47, 25], Operations: ['93-68=25'] Exploring Operation: 5*25=125, Resulting Numbers: [47, 125] Generated Node #3: [47, 125] from Operation: 5*25=125 Current State: 78:[47, 125], Operations: ['93-68=25', '5*25=125'] Exploring Operation: 125-47=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 50, 95, 92, 3 ]
50
[ "50+95=145", "92+3=95", "145-95=50" ]
Current State: 50:[50, 95, 92, 3], Operations: [] Exploring Operation: 50+95=145, Resulting Numbers: [92, 3, 145] Generated Node #2: [92, 3, 145] from Operation: 50+95=145 Current State: 50:[92, 3, 145], Operations: ['50+95=145'] Exploring Operation: 92+3=95, Resulting Numbers: [145, 95] Generated Node #3: [145, 95] from Operation: 92+3=95 Current State: 50:[145, 95], Operations: ['50+95=145', '92+3=95'] Exploring Operation: 145-95=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 9, 39, 80, 53 ]
85
[ "9+39=48", "80+53=133", "133-48=85" ]
Current State: 85:[9, 39, 80, 53], Operations: [] Exploring Operation: 9+39=48, Resulting Numbers: [80, 53, 48] Generated Node #2: [80, 53, 48] from Operation: 9+39=48 Current State: 85:[80, 53, 48], Operations: ['9+39=48'] Exploring Operation: 80+53=133, Resulting Numbers: [48, 133] Generated Node #3: [48, 133] from Operation: 80+53=133 Current State: 85:[48, 133], Operations: ['9+39=48', '80+53=133'] Exploring Operation: 133-48=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 17, 39, 6, 78 ]
94
[ "39-17=22", "78-6=72", "22+72=94" ]
Current State: 94:[17, 39, 6, 78], Operations: [] Exploring Operation: 39-17=22, Resulting Numbers: [6, 78, 22] Generated Node #2: [6, 78, 22] from Operation: 39-17=22 Current State: 94:[6, 78, 22], Operations: ['39-17=22'] Exploring Operation: 78-6=72, Resulting Numbers: [22, 72] Generated Node #3: [22, 72] from Operation: 78-6=72 Current State: 94:[22, 72], Operations: ['39-17=22', '78-6=72'] Exploring Operation: 22+72=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 8, 81, 55, 41 ]
60
[ "81-41=40", "40/8=5", "55+5=60" ]
Current State: 60:[8, 81, 55, 41], Operations: [] Exploring Operation: 81-41=40, Resulting Numbers: [8, 55, 40] Generated Node #2: [8, 55, 40] from Operation: 81-41=40 Current State: 60:[8, 55, 40], Operations: ['81-41=40'] Exploring Operation: 40/8=5, Resulting Numbers: [55, 5] Generated Node #3: [55, 5] from Operation: 40/8=5 Current State: 60:[55, 5], Operations: ['81-41=40', '40/8=5'] Exploring Operation: 55+5=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 17, 31, 55, 85 ]
78
[ "17+31=48", "85-55=30", "48+30=78" ]
Current State: 78:[17, 31, 55, 85], Operations: [] Exploring Operation: 17+31=48, Resulting Numbers: [55, 85, 48] Generated Node #2: [55, 85, 48] from Operation: 17+31=48 Current State: 78:[55, 85, 48], Operations: ['17+31=48'] Exploring Operation: 85-55=30, Resulting Numbers: [48, 30] Generated Node #3: [48, 30] from Operation: 85-55=30 Current State: 78:[48, 30], Operations: ['17+31=48', '85-55=30'] Exploring Operation: 48+30=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 72, 3, 21, 48 ]
47
[ "72+21=93", "48+93=141", "141/3=47" ]
Current State: 47:[72, 3, 21, 48], Operations: [] Exploring Operation: 72+21=93, Resulting Numbers: [3, 48, 93] Generated Node #2: [3, 48, 93] from Operation: 72+21=93 Current State: 47:[3, 48, 93], Operations: ['72+21=93'] Exploring Operation: 48+93=141, Resulting Numbers: [3, 141] Generated Node #3: [3, 141] from Operation: 48+93=141 Current State: 47:[3, 141], Operations: ['72+21=93', '48+93=141'] Exploring Operation: 141/3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 7, 38, 59, 66 ]
38
[ "7+38=45", "66-59=7", "45-7=38" ]
Current State: 38:[7, 38, 59, 66], Operations: [] Exploring Operation: 7+38=45, Resulting Numbers: [59, 66, 45] Generated Node #2: [59, 66, 45] from Operation: 7+38=45 Current State: 38:[59, 66, 45], Operations: ['7+38=45'] Exploring Operation: 66-59=7, Resulting Numbers: [45, 7] Generated Node #3: [45, 7] from Operation: 66-59=7 Current State: 38:[45, 7], Operations: ['7+38=45', '66-59=7'] Exploring Operation: 45-7=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 21, 33, 13, 10 ]
57
[ "21+33=54", "13-10=3", "54+3=57" ]
Current State: 57:[21, 33, 13, 10], Operations: [] Exploring Operation: 21+33=54, Resulting Numbers: [13, 10, 54] Generated Node #2: [13, 10, 54] from Operation: 21+33=54 Current State: 57:[13, 10, 54], Operations: ['21+33=54'] Exploring Operation: 13-10=3, Resulting Numbers: [54, 3] Generated Node #3: [54, 3] from Operation: 13-10=3 Current State: 57:[54, 3], Operations: ['21+33=54', '13-10=3'] Exploring Operation: 54+3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 91, 3, 84, 63 ]
98
[ "91+63=154", "3*84=252", "252-154=98" ]
Current State: 98:[91, 3, 84, 63], Operations: [] Exploring Operation: 91+63=154, Resulting Numbers: [3, 84, 154] Generated Node #2: [3, 84, 154] from Operation: 91+63=154 Current State: 98:[3, 84, 154], Operations: ['91+63=154'] Exploring Operation: 3*84=252, Resulting Numbers: [154, 252] Generated Node #3: [154, 252] from Operation: 3*84=252 Current State: 98:[154, 252], Operations: ['91+63=154', '3*84=252'] Exploring Operation: 252-154=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 4, 71, 97, 84 ]
88
[ "4+71=75", "97-84=13", "75+13=88" ]
Current State: 88:[4, 71, 97, 84], Operations: [] Exploring Operation: 4+71=75, Resulting Numbers: [97, 84, 75] Generated Node #2: [97, 84, 75] from Operation: 4+71=75 Current State: 88:[97, 84, 75], Operations: ['4+71=75'] Exploring Operation: 97-84=13, Resulting Numbers: [75, 13] Generated Node #3: [75, 13] from Operation: 97-84=13 Current State: 88:[75, 13], Operations: ['4+71=75', '97-84=13'] Exploring Operation: 75+13=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 52, 82, 3, 69 ]
42
[ "82-52=30", "3+69=72", "72-30=42" ]
Current State: 42:[52, 82, 3, 69], Operations: [] Exploring Operation: 82-52=30, Resulting Numbers: [3, 69, 30] Generated Node #2: [3, 69, 30] from Operation: 82-52=30 Current State: 42:[3, 69, 30], Operations: ['82-52=30'] Exploring Operation: 3+69=72, Resulting Numbers: [30, 72] Generated Node #3: [30, 72] from Operation: 3+69=72 Current State: 42:[30, 72], Operations: ['82-52=30', '3+69=72'] Exploring Operation: 72-30=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 43, 34, 2, 1 ]
77
[ "43+34=77", "2-1=1", "77*1=77" ]
Current State: 77:[43, 34, 2, 1], Operations: [] Exploring Operation: 43+34=77, Resulting Numbers: [2, 1, 77] Generated Node #2: [2, 1, 77] from Operation: 43+34=77 Current State: 77:[2, 1, 77], Operations: ['43+34=77'] Exploring Operation: 2-1=1, Resulting Numbers: [77, 1] Generated Node #3: [77, 1] from Operation: 2-1=1 Current State: 77:[77, 1], Operations: ['43+34=77', '2-1=1'] Exploring Operation: 77*1=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 3, 28, 81, 94 ]
94
[ "81/3=27", "28-27=1", "94*1=94" ]
Current State: 94:[3, 28, 81, 94], Operations: [] Exploring Operation: 81/3=27, Resulting Numbers: [28, 94, 27] Generated Node #2: [28, 94, 27] from Operation: 81/3=27 Current State: 94:[28, 94, 27], Operations: ['81/3=27'] Exploring Operation: 28-27=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 28-27=1 Current State: 94:[94, 1], Operations: ['81/3=27', '28-27=1'] Exploring Operation: 94*1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 5, 71, 3, 89 ]
93
[ "89-71=18", "5*18=90", "3+90=93" ]
Current State: 93:[5, 71, 3, 89], Operations: [] Exploring Operation: 89-71=18, Resulting Numbers: [5, 3, 18] Generated Node #2: [5, 3, 18] from Operation: 89-71=18 Current State: 93:[5, 3, 18], Operations: ['89-71=18'] Exploring Operation: 5*18=90, Resulting Numbers: [3, 90] Generated Node #3: [3, 90] from Operation: 5*18=90 Current State: 93:[3, 90], Operations: ['89-71=18', '5*18=90'] Exploring Operation: 3+90=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 20, 51, 20, 46 ]
57
[ "51-20=31", "46-20=26", "31+26=57" ]
Current State: 57:[20, 51, 20, 46], Operations: [] Exploring Operation: 51-20=31, Resulting Numbers: [46, 31] Generated Node #2: [46, 31] from Operation: 51-20=31 Current State: 57:[46, 31], Operations: ['51-20=31'] Exploring Operation: 46-20=26, Resulting Numbers: [31, 26] Generated Node #3: [31, 26] from Operation: 46-20=26 Current State: 57:[31, 26], Operations: ['51-20=31', '46-20=26'] Exploring Operation: 31+26=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 14, 42, 52, 88 ]
32
[ "52+88=140", "140/14=10", "42-10=32" ]
Current State: 32:[14, 42, 52, 88], Operations: [] Exploring Operation: 52+88=140, Resulting Numbers: [14, 42, 140] Generated Node #2: [14, 42, 140] from Operation: 52+88=140 Current State: 32:[14, 42, 140], Operations: ['52+88=140'] Exploring Operation: 140/14=10, Resulting Numbers: [42, 10] Generated Node #3: [42, 10] from Operation: 140/14=10 Current State: 32:[42, 10], Operations: ['52+88=140', '140/14=10'] Exploring Operation: 42-10=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 62, 5, 88, 63 ]
92
[ "62+5=67", "88-63=25", "67+25=92" ]
Current State: 92:[62, 5, 88, 63], Operations: [] Exploring Operation: 62+5=67, Resulting Numbers: [88, 63, 67] Generated Node #2: [88, 63, 67] from Operation: 62+5=67 Current State: 92:[88, 63, 67], Operations: ['62+5=67'] Exploring Operation: 88-63=25, Resulting Numbers: [67, 25] Generated Node #3: [67, 25] from Operation: 88-63=25 Current State: 92:[67, 25], Operations: ['62+5=67', '88-63=25'] Exploring Operation: 67+25=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 19, 22, 35, 52 ]
55
[ "22+35=57", "57/19=3", "52+3=55" ]
Current State: 55:[19, 22, 35, 52], Operations: [] Exploring Operation: 22+35=57, Resulting Numbers: [19, 52, 57] Generated Node #2: [19, 52, 57] from Operation: 22+35=57 Current State: 55:[19, 52, 57], Operations: ['22+35=57'] Exploring Operation: 57/19=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 57/19=3 Current State: 55:[52, 3], Operations: ['22+35=57', '57/19=3'] Exploring Operation: 52+3=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 78, 27, 76, 31 ]
23
[ "78-76=2", "27*2=54", "54-31=23" ]
Current State: 23:[78, 27, 76, 31], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [27, 31, 2] Generated Node #2: [27, 31, 2] from Operation: 78-76=2 Current State: 23:[27, 31, 2], Operations: ['78-76=2'] Exploring Operation: 27*2=54, Resulting Numbers: [31, 54] Generated Node #3: [31, 54] from Operation: 27*2=54 Current State: 23:[31, 54], Operations: ['78-76=2', '27*2=54'] Exploring Operation: 54-31=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 26, 6, 15, 45 ]
21
[ "26-15=11", "6*11=66", "66-45=21" ]
Current State: 21:[26, 6, 15, 45], Operations: [] Exploring Operation: 26-15=11, Resulting Numbers: [6, 45, 11] Generated Node #2: [6, 45, 11] from Operation: 26-15=11 Current State: 21:[6, 45, 11], Operations: ['26-15=11'] Exploring Operation: 6*11=66, Resulting Numbers: [45, 66] Generated Node #3: [45, 66] from Operation: 6*11=66 Current State: 21:[45, 66], Operations: ['26-15=11', '6*11=66'] Exploring Operation: 66-45=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 97, 95, 27, 71 ]
49
[ "97-95=2", "27+71=98", "98/2=49" ]
Current State: 49:[97, 95, 27, 71], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [27, 71, 2] Generated Node #2: [27, 71, 2] from Operation: 97-95=2 Current State: 49:[27, 71, 2], Operations: ['97-95=2'] Exploring Operation: 27+71=98, Resulting Numbers: [2, 98] Generated Node #3: [2, 98] from Operation: 27+71=98 Current State: 49:[2, 98], Operations: ['97-95=2', '27+71=98'] Exploring Operation: 98/2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 2, 2, 33, 30 ]
30
[ "2-2=0", "33*0=0", "30+0=30" ]
Current State: 30:[2, 2, 33, 30], Operations: [] Exploring Operation: 2-2=0, Resulting Numbers: [33, 30, 0] Generated Node #2: [33, 30, 0] from Operation: 2-2=0 Current State: 30:[33, 30, 0], Operations: ['2-2=0'] Exploring Operation: 33*0=0, Resulting Numbers: [30, 0] Generated Node #3: [30, 0] from Operation: 33*0=0 Current State: 30:[30, 0], Operations: ['2-2=0', '33*0=0'] Exploring Operation: 30+0=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 13, 5, 84, 82 ]
63
[ "13*5=65", "84-82=2", "65-2=63" ]
Current State: 63:[13, 5, 84, 82], Operations: [] Exploring Operation: 13*5=65, Resulting Numbers: [84, 82, 65] Generated Node #2: [84, 82, 65] from Operation: 13*5=65 Current State: 63:[84, 82, 65], Operations: ['13*5=65'] Exploring Operation: 84-82=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 84-82=2 Current State: 63:[65, 2], Operations: ['13*5=65', '84-82=2'] Exploring Operation: 65-2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 99, 17, 98, 67 ]
85
[ "99+17=116", "98-67=31", "116-31=85" ]
Current State: 85:[99, 17, 98, 67], Operations: [] Exploring Operation: 99+17=116, Resulting Numbers: [98, 67, 116] Generated Node #2: [98, 67, 116] from Operation: 99+17=116 Current State: 85:[98, 67, 116], Operations: ['99+17=116'] Exploring Operation: 98-67=31, Resulting Numbers: [116, 31] Generated Node #3: [116, 31] from Operation: 98-67=31 Current State: 85:[116, 31], Operations: ['99+17=116', '98-67=31'] Exploring Operation: 116-31=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 76, 82, 15, 71 ]
89
[ "82-71=11", "15*11=165", "165-76=89" ]
Current State: 89:[76, 82, 15, 71], Operations: [] Exploring Operation: 82-71=11, Resulting Numbers: [76, 15, 11] Generated Node #2: [76, 15, 11] from Operation: 82-71=11 Current State: 89:[76, 15, 11], Operations: ['82-71=11'] Exploring Operation: 15*11=165, Resulting Numbers: [76, 165] Generated Node #3: [76, 165] from Operation: 15*11=165 Current State: 89:[76, 165], Operations: ['82-71=11', '15*11=165'] Exploring Operation: 165-76=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 18, 53, 78, 29 ]
14
[ "53-18=35", "78-29=49", "49-35=14" ]
Current State: 14:[18, 53, 78, 29], Operations: [] Exploring Operation: 53-18=35, Resulting Numbers: [78, 29, 35] Generated Node #2: [78, 29, 35] from Operation: 53-18=35 Current State: 14:[78, 29, 35], Operations: ['53-18=35'] Exploring Operation: 78-29=49, Resulting Numbers: [35, 49] Generated Node #3: [35, 49] from Operation: 78-29=49 Current State: 14:[35, 49], Operations: ['53-18=35', '78-29=49'] Exploring Operation: 49-35=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 97, 49, 95, 67 ]
58
[ "97-95=2", "49+67=116", "116/2=58" ]
Current State: 58:[97, 49, 95, 67], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [49, 67, 2] Generated Node #2: [49, 67, 2] from Operation: 97-95=2 Current State: 58:[49, 67, 2], Operations: ['97-95=2'] Exploring Operation: 49+67=116, Resulting Numbers: [2, 116] Generated Node #3: [2, 116] from Operation: 49+67=116 Current State: 58:[2, 116], Operations: ['97-95=2', '49+67=116'] Exploring Operation: 116/2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 42, 23, 46, 16 ]
37
[ "42*23=966", "966/46=21", "16+21=37" ]
Current State: 37:[42, 23, 46, 16], Operations: [] Exploring Operation: 42*23=966, Resulting Numbers: [46, 16, 966] Generated Node #2: [46, 16, 966] from Operation: 42*23=966 Current State: 37:[46, 16, 966], Operations: ['42*23=966'] Exploring Operation: 966/46=21, Resulting Numbers: [16, 21] Generated Node #3: [16, 21] from Operation: 966/46=21 Current State: 37:[16, 21], Operations: ['42*23=966', '966/46=21'] Exploring Operation: 16+21=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 28, 33, 18, 8 ]
87
[ "28+33=61", "18+8=26", "61+26=87" ]
Current State: 87:[28, 33, 18, 8], Operations: [] Exploring Operation: 28+33=61, Resulting Numbers: [18, 8, 61] Generated Node #2: [18, 8, 61] from Operation: 28+33=61 Current State: 87:[18, 8, 61], Operations: ['28+33=61'] Exploring Operation: 18+8=26, Resulting Numbers: [61, 26] Generated Node #3: [61, 26] from Operation: 18+8=26 Current State: 87:[61, 26], Operations: ['28+33=61', '18+8=26'] Exploring Operation: 61+26=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 64, 8, 76, 13 ]
92
[ "76-64=12", "8*13=104", "104-12=92" ]
Current State: 92:[64, 8, 76, 13], Operations: [] Exploring Operation: 76-64=12, Resulting Numbers: [8, 13, 12] Generated Node #2: [8, 13, 12] from Operation: 76-64=12 Current State: 92:[8, 13, 12], Operations: ['76-64=12'] Exploring Operation: 8*13=104, Resulting Numbers: [12, 104] Generated Node #3: [12, 104] from Operation: 8*13=104 Current State: 92:[12, 104], Operations: ['76-64=12', '8*13=104'] Exploring Operation: 104-12=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 8, 31, 27, 11 ]
52
[ "31-27=4", "11*4=44", "8+44=52" ]
Current State: 52:[8, 31, 27, 11], Operations: [] Exploring Operation: 31-27=4, Resulting Numbers: [8, 11, 4] Generated Node #2: [8, 11, 4] from Operation: 31-27=4 Current State: 52:[8, 11, 4], Operations: ['31-27=4'] Exploring Operation: 11*4=44, Resulting Numbers: [8, 44] Generated Node #3: [8, 44] from Operation: 11*4=44 Current State: 52:[8, 44], Operations: ['31-27=4', '11*4=44'] Exploring Operation: 8+44=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 13, 87, 13, 50 ]
63
[ "13+87=100", "50-13=37", "100-37=63" ]
Current State: 63:[13, 87, 13, 50], Operations: [] Exploring Operation: 13+87=100, Resulting Numbers: [50, 100] Generated Node #2: [50, 100] from Operation: 13+87=100 Current State: 63:[50, 100], Operations: ['13+87=100'] Exploring Operation: 50-13=37, Resulting Numbers: [100, 37] Generated Node #3: [100, 37] from Operation: 50-13=37 Current State: 63:[100, 37], Operations: ['13+87=100', '50-13=37'] Exploring Operation: 100-37=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 55, 24, 17, 51 ]
47
[ "24*17=408", "408/51=8", "55-8=47" ]
Current State: 47:[55, 24, 17, 51], Operations: [] Exploring Operation: 24*17=408, Resulting Numbers: [55, 51, 408] Generated Node #2: [55, 51, 408] from Operation: 24*17=408 Current State: 47:[55, 51, 408], Operations: ['24*17=408'] Exploring Operation: 408/51=8, Resulting Numbers: [55, 8] Generated Node #3: [55, 8] from Operation: 408/51=8 Current State: 47:[55, 8], Operations: ['24*17=408', '408/51=8'] Exploring Operation: 55-8=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 11, 1, 18, 53 ]
59
[ "11+1=12", "18+53=71", "71-12=59" ]
Current State: 59:[11, 1, 18, 53], Operations: [] Exploring Operation: 11+1=12, Resulting Numbers: [18, 53, 12] Generated Node #2: [18, 53, 12] from Operation: 11+1=12 Current State: 59:[18, 53, 12], Operations: ['11+1=12'] Exploring Operation: 18+53=71, Resulting Numbers: [12, 71] Generated Node #3: [12, 71] from Operation: 18+53=71 Current State: 59:[12, 71], Operations: ['11+1=12', '18+53=71'] Exploring Operation: 71-12=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 4, 63, 39, 43 ]
37
[ "63-39=24", "24/4=6", "43-6=37" ]
Current State: 37:[4, 63, 39, 43], Operations: [] Exploring Operation: 63-39=24, Resulting Numbers: [4, 43, 24] Generated Node #2: [4, 43, 24] from Operation: 63-39=24 Current State: 37:[4, 43, 24], Operations: ['63-39=24'] Exploring Operation: 24/4=6, Resulting Numbers: [43, 6] Generated Node #3: [43, 6] from Operation: 24/4=6 Current State: 37:[43, 6], Operations: ['63-39=24', '24/4=6'] Exploring Operation: 43-6=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 2, 15, 14, 22 ]
80
[ "15+14=29", "2*29=58", "22+58=80" ]
Current State: 80:[2, 15, 14, 22], Operations: [] Exploring Operation: 15+14=29, Resulting Numbers: [2, 22, 29] Generated Node #2: [2, 22, 29] from Operation: 15+14=29 Current State: 80:[2, 22, 29], Operations: ['15+14=29'] Exploring Operation: 2*29=58, Resulting Numbers: [22, 58] Generated Node #3: [22, 58] from Operation: 2*29=58 Current State: 80:[22, 58], Operations: ['15+14=29', '2*29=58'] Exploring Operation: 22+58=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 12, 17, 27, 24 ]
56
[ "17-12=5", "27+24=51", "5+51=56" ]
Current State: 56:[12, 17, 27, 24], Operations: [] Exploring Operation: 17-12=5, Resulting Numbers: [27, 24, 5] Generated Node #2: [27, 24, 5] from Operation: 17-12=5 Current State: 56:[27, 24, 5], Operations: ['17-12=5'] Exploring Operation: 27+24=51, Resulting Numbers: [5, 51] Generated Node #3: [5, 51] from Operation: 27+24=51 Current State: 56:[5, 51], Operations: ['17-12=5', '27+24=51'] Exploring Operation: 5+51=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 92, 43, 56, 27 ]
51
[ "92+43=135", "135/27=5", "56-5=51" ]
Current State: 51:[92, 43, 56, 27], Operations: [] Exploring Operation: 92+43=135, Resulting Numbers: [56, 27, 135] Generated Node #2: [56, 27, 135] from Operation: 92+43=135 Current State: 51:[56, 27, 135], Operations: ['92+43=135'] Exploring Operation: 135/27=5, Resulting Numbers: [56, 5] Generated Node #3: [56, 5] from Operation: 135/27=5 Current State: 51:[56, 5], Operations: ['92+43=135', '135/27=5'] Exploring Operation: 56-5=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 99, 75, 10, 15 ]
84
[ "99-10=89", "75/15=5", "89-5=84" ]
Current State: 84:[99, 75, 10, 15], Operations: [] Exploring Operation: 99-10=89, Resulting Numbers: [75, 15, 89] Generated Node #2: [75, 15, 89] from Operation: 99-10=89 Current State: 84:[75, 15, 89], Operations: ['99-10=89'] Exploring Operation: 75/15=5, Resulting Numbers: [89, 5] Generated Node #3: [89, 5] from Operation: 75/15=5 Current State: 84:[89, 5], Operations: ['99-10=89', '75/15=5'] Exploring Operation: 89-5=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 19, 34, 83, 63 ]
34
[ "83-19=64", "64-63=1", "34*1=34" ]
Current State: 34:[19, 34, 83, 63], Operations: [] Exploring Operation: 83-19=64, Resulting Numbers: [34, 63, 64] Generated Node #2: [34, 63, 64] from Operation: 83-19=64 Current State: 34:[34, 63, 64], Operations: ['83-19=64'] Exploring Operation: 64-63=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 64-63=1 Current State: 34:[34, 1], Operations: ['83-19=64', '64-63=1'] Exploring Operation: 34*1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 40, 57, 85, 17 ]
84
[ "57-40=17", "17/17=1", "85-1=84" ]
Current State: 84:[40, 57, 85, 17], Operations: [] Exploring Operation: 57-40=17, Resulting Numbers: [85, 17, 17] Generated Node #2: [85, 17, 17] from Operation: 57-40=17 Current State: 84:[85, 17, 17], Operations: ['57-40=17'] Exploring Operation: 17/17=1, Resulting Numbers: [85, 1] Generated Node #3: [85, 1] from Operation: 17/17=1 Current State: 84:[85, 1], Operations: ['57-40=17', '17/17=1'] Exploring Operation: 85-1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 40, 2, 35, 29 ]
48
[ "40+2=42", "35-29=6", "42+6=48" ]
Current State: 48:[40, 2, 35, 29], Operations: [] Exploring Operation: 40+2=42, Resulting Numbers: [35, 29, 42] Generated Node #2: [35, 29, 42] from Operation: 40+2=42 Current State: 48:[35, 29, 42], Operations: ['40+2=42'] Exploring Operation: 35-29=6, Resulting Numbers: [42, 6] Generated Node #3: [42, 6] from Operation: 35-29=6 Current State: 48:[42, 6], Operations: ['40+2=42', '35-29=6'] Exploring Operation: 42+6=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 42, 62, 65, 30 ]
16
[ "65-62=3", "42/3=14", "30-14=16" ]
Current State: 16:[42, 62, 65, 30], Operations: [] Exploring Operation: 65-62=3, Resulting Numbers: [42, 30, 3] Generated Node #2: [42, 30, 3] from Operation: 65-62=3 Current State: 16:[42, 30, 3], Operations: ['65-62=3'] Exploring Operation: 42/3=14, Resulting Numbers: [30, 14] Generated Node #3: [30, 14] from Operation: 42/3=14 Current State: 16:[30, 14], Operations: ['65-62=3', '42/3=14'] Exploring Operation: 30-14=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 18, 77, 29, 68 ]
61
[ "29-18=11", "77/11=7", "68-7=61" ]
Current State: 61:[18, 77, 29, 68], Operations: [] Exploring Operation: 29-18=11, Resulting Numbers: [77, 68, 11] Generated Node #2: [77, 68, 11] from Operation: 29-18=11 Current State: 61:[77, 68, 11], Operations: ['29-18=11'] Exploring Operation: 77/11=7, Resulting Numbers: [68, 7] Generated Node #3: [68, 7] from Operation: 77/11=7 Current State: 61:[68, 7], Operations: ['29-18=11', '77/11=7'] Exploring Operation: 68-7=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 12, 87, 73, 54 ]
52
[ "87-12=75", "73+54=127", "127-75=52" ]
Current State: 52:[12, 87, 73, 54], Operations: [] Exploring Operation: 87-12=75, Resulting Numbers: [73, 54, 75] Generated Node #2: [73, 54, 75] from Operation: 87-12=75 Current State: 52:[73, 54, 75], Operations: ['87-12=75'] Exploring Operation: 73+54=127, Resulting Numbers: [75, 127] Generated Node #3: [75, 127] from Operation: 73+54=127 Current State: 52:[75, 127], Operations: ['87-12=75', '73+54=127'] Exploring Operation: 127-75=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 47, 77, 2, 9 ]
89
[ "77-9=68", "2*68=136", "136-47=89" ]
Current State: 89:[47, 77, 2, 9], Operations: [] Exploring Operation: 77-9=68, Resulting Numbers: [47, 2, 68] Generated Node #2: [47, 2, 68] from Operation: 77-9=68 Current State: 89:[47, 2, 68], Operations: ['77-9=68'] Exploring Operation: 2*68=136, Resulting Numbers: [47, 136] Generated Node #3: [47, 136] from Operation: 2*68=136 Current State: 89:[47, 136], Operations: ['77-9=68', '2*68=136'] Exploring Operation: 136-47=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 17, 15, 44, 28 ]
15
[ "44-17=27", "28-27=1", "15*1=15" ]
Current State: 15:[17, 15, 44, 28], Operations: [] Exploring Operation: 44-17=27, Resulting Numbers: [15, 28, 27] Generated Node #2: [15, 28, 27] from Operation: 44-17=27 Current State: 15:[15, 28, 27], Operations: ['44-17=27'] Exploring Operation: 28-27=1, Resulting Numbers: [15, 1] Generated Node #3: [15, 1] from Operation: 28-27=1 Current State: 15:[15, 1], Operations: ['44-17=27', '28-27=1'] Exploring Operation: 15*1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 87, 5, 77, 66 ]
68
[ "87-77=10", "10/5=2", "66+2=68" ]
Current State: 68:[87, 5, 77, 66], Operations: [] Exploring Operation: 87-77=10, Resulting Numbers: [5, 66, 10] Generated Node #2: [5, 66, 10] from Operation: 87-77=10 Current State: 68:[5, 66, 10], Operations: ['87-77=10'] Exploring Operation: 10/5=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 10/5=2 Current State: 68:[66, 2], Operations: ['87-77=10', '10/5=2'] Exploring Operation: 66+2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 48, 49, 72, 89 ]
60
[ "89-49=40", "72*40=2880", "2880/48=60" ]
Current State: 60:[48, 49, 72, 89], Operations: [] Exploring Operation: 89-49=40, Resulting Numbers: [48, 72, 40] Generated Node #2: [48, 72, 40] from Operation: 89-49=40 Current State: 60:[48, 72, 40], Operations: ['89-49=40'] Exploring Operation: 72*40=2880, Resulting Numbers: [48, 2880] Generated Node #3: [48, 2880] from Operation: 72*40=2880 Current State: 60:[48, 2880], Operations: ['89-49=40', '72*40=2880'] Exploring Operation: 2880/48=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 63, 2, 9, 34 ]
25
[ "63/9=7", "34-2=32", "32-7=25" ]
Current State: 25:[63, 2, 9, 34], Operations: [] Exploring Operation: 63/9=7, Resulting Numbers: [2, 34, 7] Generated Node #2: [2, 34, 7] from Operation: 63/9=7 Current State: 25:[2, 34, 7], Operations: ['63/9=7'] Exploring Operation: 34-2=32, Resulting Numbers: [7, 32] Generated Node #3: [7, 32] from Operation: 34-2=32 Current State: 25:[7, 32], Operations: ['63/9=7', '34-2=32'] Exploring Operation: 32-7=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 98, 37, 99, 63 ]
98
[ "99-37=62", "63-62=1", "98*1=98" ]
Current State: 98:[98, 37, 99, 63], Operations: [] Exploring Operation: 99-37=62, Resulting Numbers: [98, 63, 62] Generated Node #2: [98, 63, 62] from Operation: 99-37=62 Current State: 98:[98, 63, 62], Operations: ['99-37=62'] Exploring Operation: 63-62=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 63-62=1 Current State: 98:[98, 1], Operations: ['99-37=62', '63-62=1'] Exploring Operation: 98*1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 29, 84, 10, 71 ]
87
[ "84-10=74", "74-71=3", "29*3=87" ]
Current State: 87:[29, 84, 10, 71], Operations: [] Exploring Operation: 84-10=74, Resulting Numbers: [29, 71, 74] Generated Node #2: [29, 71, 74] from Operation: 84-10=74 Current State: 87:[29, 71, 74], Operations: ['84-10=74'] Exploring Operation: 74-71=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 74-71=3 Current State: 87:[29, 3], Operations: ['84-10=74', '74-71=3'] Exploring Operation: 29*3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 13, 82, 97, 53 ]
51
[ "13+82=95", "97-53=44", "95-44=51" ]
Current State: 51:[13, 82, 97, 53], Operations: [] Exploring Operation: 13+82=95, Resulting Numbers: [97, 53, 95] Generated Node #2: [97, 53, 95] from Operation: 13+82=95 Current State: 51:[97, 53, 95], Operations: ['13+82=95'] Exploring Operation: 97-53=44, Resulting Numbers: [95, 44] Generated Node #3: [95, 44] from Operation: 97-53=44 Current State: 51:[95, 44], Operations: ['13+82=95', '97-53=44'] Exploring Operation: 95-44=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 88, 48, 33, 30 ]
23
[ "88-48=40", "33+30=63", "63-40=23" ]
Current State: 23:[88, 48, 33, 30], Operations: [] Exploring Operation: 88-48=40, Resulting Numbers: [33, 30, 40] Generated Node #2: [33, 30, 40] from Operation: 88-48=40 Current State: 23:[33, 30, 40], Operations: ['88-48=40'] Exploring Operation: 33+30=63, Resulting Numbers: [40, 63] Generated Node #3: [40, 63] from Operation: 33+30=63 Current State: 23:[40, 63], Operations: ['88-48=40', '33+30=63'] Exploring Operation: 63-40=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 92, 84, 90, 61 ]
46
[ "92-90=2", "84-61=23", "2*23=46" ]
Current State: 46:[92, 84, 90, 61], Operations: [] Exploring Operation: 92-90=2, Resulting Numbers: [84, 61, 2] Generated Node #2: [84, 61, 2] from Operation: 92-90=2 Current State: 46:[84, 61, 2], Operations: ['92-90=2'] Exploring Operation: 84-61=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 84-61=23 Current State: 46:[2, 23], Operations: ['92-90=2', '84-61=23'] Exploring Operation: 2*23=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4