nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 60, 25, 36, 60 ]
84
[ "60*36=2160", "2160-60=2100", "2100/25=84" ]
Current State: 84:[60, 25, 36, 60], Operations: [] Exploring Operation: 60*36=2160, Resulting Numbers: [25, 2160] Generated Node #2: [25, 2160] from Operation: 60*36=2160 Current State: 84:[25, 2160], Operations: ['60*36=2160'] Exploring Operation: 2160-60=2100, Resulting Numbers: [25, 2100] Generated Node #3: [25, 2100] from Operation: 2160-60=2100 Current State: 84:[25, 2100], Operations: ['60*36=2160', '2160-60=2100'] Exploring Operation: 2100/25=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 77, 1, 46, 79 ]
91
[ "79-77=2", "46*2=92", "92-1=91" ]
Current State: 91:[77, 1, 46, 79], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [1, 46, 2] Generated Node #2: [1, 46, 2] from Operation: 79-77=2 Current State: 91:[1, 46, 2], Operations: ['79-77=2'] Exploring Operation: 46*2=92, Resulting Numbers: [1, 92] Generated Node #3: [1, 92] from Operation: 46*2=92 Current State: 91:[1, 92], Operations: ['79-77=2', '46*2=92'] Exploring Operation: 92-1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 56, 60, 80, 40 ]
54
[ "80-60=20", "40/20=2", "56-2=54" ]
Current State: 54:[56, 60, 80, 40], Operations: [] Exploring Operation: 80-60=20, Resulting Numbers: [56, 40, 20] Generated Node #2: [56, 40, 20] from Operation: 80-60=20 Current State: 54:[56, 40, 20], Operations: ['80-60=20'] Exploring Operation: 40/20=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 40/20=2 Current State: 54:[56, 2], Operations: ['80-60=20', '40/20=2'] Exploring Operation: 56-2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 17, 52, 64, 61 ]
23
[ "17+52=69", "64-61=3", "69/3=23" ]
Current State: 23:[17, 52, 64, 61], Operations: [] Exploring Operation: 17+52=69, Resulting Numbers: [64, 61, 69] Generated Node #2: [64, 61, 69] from Operation: 17+52=69 Current State: 23:[64, 61, 69], Operations: ['17+52=69'] Exploring Operation: 64-61=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 64-61=3 Current State: 23:[69, 3], Operations: ['17+52=69', '64-61=3'] Exploring Operation: 69/3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 21, 8, 3, 17 ]
14
[ "21+3=24", "24/8=3", "17-3=14" ]
Current State: 14:[21, 8, 3, 17], Operations: [] Exploring Operation: 21+3=24, Resulting Numbers: [8, 17, 24] Generated Node #2: [8, 17, 24] from Operation: 21+3=24 Current State: 14:[8, 17, 24], Operations: ['21+3=24'] Exploring Operation: 24/8=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 24/8=3 Current State: 14:[17, 3], Operations: ['21+3=24', '24/8=3'] Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 35, 76, 6, 3 ]
73
[ "76*3=228", "228/6=38", "35+38=73" ]
Current State: 73:[35, 76, 6, 3], Operations: [] Exploring Operation: 76*3=228, Resulting Numbers: [35, 6, 228] Generated Node #2: [35, 6, 228] from Operation: 76*3=228 Current State: 73:[35, 6, 228], Operations: ['76*3=228'] Exploring Operation: 228/6=38, Resulting Numbers: [35, 38] Generated Node #3: [35, 38] from Operation: 228/6=38 Current State: 73:[35, 38], Operations: ['76*3=228', '228/6=38'] Exploring Operation: 35+38=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 58, 47, 45, 82 ]
17
[ "47-45=2", "82/2=41", "58-41=17" ]
Current State: 17:[58, 47, 45, 82], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [58, 82, 2] Generated Node #2: [58, 82, 2] from Operation: 47-45=2 Current State: 17:[58, 82, 2], Operations: ['47-45=2'] Exploring Operation: 82/2=41, Resulting Numbers: [58, 41] Generated Node #3: [58, 41] from Operation: 82/2=41 Current State: 17:[58, 41], Operations: ['47-45=2', '82/2=41'] Exploring Operation: 58-41=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 66, 78, 99, 3 ]
67
[ "99-66=33", "33/3=11", "78-11=67" ]
Current State: 67:[66, 78, 99, 3], Operations: [] Exploring Operation: 99-66=33, Resulting Numbers: [78, 3, 33] Generated Node #2: [78, 3, 33] from Operation: 99-66=33 Current State: 67:[78, 3, 33], Operations: ['99-66=33'] Exploring Operation: 33/3=11, Resulting Numbers: [78, 11] Generated Node #3: [78, 11] from Operation: 33/3=11 Current State: 67:[78, 11], Operations: ['99-66=33', '33/3=11'] Exploring Operation: 78-11=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 52, 81, 90, 64 ]
83
[ "90-64=26", "52/26=2", "81+2=83" ]
Current State: 83:[52, 81, 90, 64], Operations: [] Exploring Operation: 90-64=26, Resulting Numbers: [52, 81, 26] Generated Node #2: [52, 81, 26] from Operation: 90-64=26 Current State: 83:[52, 81, 26], Operations: ['90-64=26'] Exploring Operation: 52/26=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 52/26=2 Current State: 83:[81, 2], Operations: ['90-64=26', '52/26=2'] Exploring Operation: 81+2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 21, 21, 6, 2 ]
93
[ "21-2=19", "6*19=114", "114-21=93" ]
Current State: 93:[21, 21, 6, 2], Operations: [] Exploring Operation: 21-2=19, Resulting Numbers: [6, 19] Generated Node #2: [6, 19] from Operation: 21-2=19 Current State: 93:[6, 19], Operations: ['21-2=19'] Exploring Operation: 6*19=114, Resulting Numbers: [114] 114,93 equal: Goal Reached Exploring Operation: 114-21=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 67, 17, 53, 57 ]
21
[ "67+17=84", "57-53=4", "84/4=21" ]
Current State: 21:[67, 17, 53, 57], Operations: [] Exploring Operation: 67+17=84, Resulting Numbers: [53, 57, 84] Generated Node #2: [53, 57, 84] from Operation: 67+17=84 Current State: 21:[53, 57, 84], Operations: ['67+17=84'] Exploring Operation: 57-53=4, Resulting Numbers: [84, 4] Generated Node #3: [84, 4] from Operation: 57-53=4 Current State: 21:[84, 4], Operations: ['67+17=84', '57-53=4'] Exploring Operation: 84/4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 4, 66, 90, 58 ]
38
[ "4+66=70", "90-58=32", "70-32=38" ]
Current State: 38:[4, 66, 90, 58], Operations: [] Exploring Operation: 4+66=70, Resulting Numbers: [90, 58, 70] Generated Node #2: [90, 58, 70] from Operation: 4+66=70 Current State: 38:[90, 58, 70], Operations: ['4+66=70'] Exploring Operation: 90-58=32, Resulting Numbers: [70, 32] Generated Node #3: [70, 32] from Operation: 90-58=32 Current State: 38:[70, 32], Operations: ['4+66=70', '90-58=32'] Exploring Operation: 70-32=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 31, 93, 36, 82 ]
70
[ "93/31=3", "36/3=12", "82-12=70" ]
Current State: 70:[31, 93, 36, 82], Operations: [] Exploring Operation: 93/31=3, Resulting Numbers: [36, 82, 3] Generated Node #2: [36, 82, 3] from Operation: 93/31=3 Current State: 70:[36, 82, 3], Operations: ['93/31=3'] Exploring Operation: 36/3=12, Resulting Numbers: [82, 12] Generated Node #3: [82, 12] from Operation: 36/3=12 Current State: 70:[82, 12], Operations: ['93/31=3', '36/3=12'] Exploring Operation: 82-12=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 3, 57, 58, 62 ]
45
[ "62-58=4", "3*4=12", "57-12=45" ]
Current State: 45:[3, 57, 58, 62], Operations: [] Exploring Operation: 62-58=4, Resulting Numbers: [3, 57, 4] Generated Node #2: [3, 57, 4] from Operation: 62-58=4 Current State: 45:[3, 57, 4], Operations: ['62-58=4'] Exploring Operation: 3*4=12, Resulting Numbers: [57, 12] Generated Node #3: [57, 12] from Operation: 3*4=12 Current State: 45:[57, 12], Operations: ['62-58=4', '3*4=12'] Exploring Operation: 57-12=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 17, 1, 42, 19 ]
41
[ "17+1=18", "42-19=23", "18+23=41" ]
Current State: 41:[17, 1, 42, 19], Operations: [] Exploring Operation: 17+1=18, Resulting Numbers: [42, 19, 18] Generated Node #2: [42, 19, 18] from Operation: 17+1=18 Current State: 41:[42, 19, 18], Operations: ['17+1=18'] Exploring Operation: 42-19=23, Resulting Numbers: [18, 23] Generated Node #3: [18, 23] from Operation: 42-19=23 Current State: 41:[18, 23], Operations: ['17+1=18', '42-19=23'] Exploring Operation: 18+23=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 46, 49, 96, 98 ]
73
[ "46*49=2254", "2254/98=23", "96-23=73" ]
Current State: 73:[46, 49, 96, 98], Operations: [] Exploring Operation: 46*49=2254, Resulting Numbers: [96, 98, 2254] Generated Node #2: [96, 98, 2254] from Operation: 46*49=2254 Current State: 73:[96, 98, 2254], Operations: ['46*49=2254'] Exploring Operation: 2254/98=23, Resulting Numbers: [96, 23] Generated Node #3: [96, 23] from Operation: 2254/98=23 Current State: 73:[96, 23], Operations: ['46*49=2254', '2254/98=23'] Exploring Operation: 96-23=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 56, 4, 27, 62 ]
25
[ "56+4=60", "62-27=35", "60-35=25" ]
Current State: 25:[56, 4, 27, 62], Operations: [] Exploring Operation: 56+4=60, Resulting Numbers: [27, 62, 60] Generated Node #2: [27, 62, 60] from Operation: 56+4=60 Current State: 25:[27, 62, 60], Operations: ['56+4=60'] Exploring Operation: 62-27=35, Resulting Numbers: [60, 35] Generated Node #3: [60, 35] from Operation: 62-27=35 Current State: 25:[60, 35], Operations: ['56+4=60', '62-27=35'] Exploring Operation: 60-35=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 49, 33, 8, 21 ]
45
[ "49-33=16", "8+21=29", "16+29=45" ]
Current State: 45:[49, 33, 8, 21], Operations: [] Exploring Operation: 49-33=16, Resulting Numbers: [8, 21, 16] Generated Node #2: [8, 21, 16] from Operation: 49-33=16 Current State: 45:[8, 21, 16], Operations: ['49-33=16'] Exploring Operation: 8+21=29, Resulting Numbers: [16, 29] Generated Node #3: [16, 29] from Operation: 8+21=29 Current State: 45:[16, 29], Operations: ['49-33=16', '8+21=29'] Exploring Operation: 16+29=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 94, 44, 6, 98 ]
68
[ "98-94=4", "6*4=24", "44+24=68" ]
Current State: 68:[94, 44, 6, 98], Operations: [] Exploring Operation: 98-94=4, Resulting Numbers: [44, 6, 4] Generated Node #2: [44, 6, 4] from Operation: 98-94=4 Current State: 68:[44, 6, 4], Operations: ['98-94=4'] Exploring Operation: 6*4=24, Resulting Numbers: [44, 24] Generated Node #3: [44, 24] from Operation: 6*4=24 Current State: 68:[44, 24], Operations: ['98-94=4', '6*4=24'] Exploring Operation: 44+24=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 97, 65, 95, 60 ]
95
[ "97-95=2", "60/2=30", "65+30=95" ]
Current State: 95:[97, 65, 95, 60], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [65, 60, 2] Generated Node #2: [65, 60, 2] from Operation: 97-95=2 Current State: 95:[65, 60, 2], Operations: ['97-95=2'] Exploring Operation: 60/2=30, Resulting Numbers: [65, 30] Generated Node #3: [65, 30] from Operation: 60/2=30 Current State: 95:[65, 30], Operations: ['97-95=2', '60/2=30'] Exploring Operation: 65+30=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 48, 75, 35, 14 ]
74
[ "48+75=123", "35+14=49", "123-49=74" ]
Current State: 74:[48, 75, 35, 14], Operations: [] Exploring Operation: 48+75=123, Resulting Numbers: [35, 14, 123] Generated Node #2: [35, 14, 123] from Operation: 48+75=123 Current State: 74:[35, 14, 123], Operations: ['48+75=123'] Exploring Operation: 35+14=49, Resulting Numbers: [123, 49] Generated Node #3: [123, 49] from Operation: 35+14=49 Current State: 74:[123, 49], Operations: ['48+75=123', '35+14=49'] Exploring Operation: 123-49=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 8, 5, 45, 18 ]
94
[ "8*18=144", "5+45=50", "144-50=94" ]
Current State: 94:[8, 5, 45, 18], Operations: [] Exploring Operation: 8*18=144, Resulting Numbers: [5, 45, 144] Generated Node #2: [5, 45, 144] from Operation: 8*18=144 Current State: 94:[5, 45, 144], Operations: ['8*18=144'] Exploring Operation: 5+45=50, Resulting Numbers: [144, 50] Generated Node #3: [144, 50] from Operation: 5+45=50 Current State: 94:[144, 50], Operations: ['8*18=144', '5+45=50'] Exploring Operation: 144-50=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 37, 46, 10, 54 ]
43
[ "54-46=8", "10*8=80", "80-37=43" ]
Current State: 43:[37, 46, 10, 54], Operations: [] Exploring Operation: 54-46=8, Resulting Numbers: [37, 10, 8] Generated Node #2: [37, 10, 8] from Operation: 54-46=8 Current State: 43:[37, 10, 8], Operations: ['54-46=8'] Exploring Operation: 10*8=80, Resulting Numbers: [37, 80] Generated Node #3: [37, 80] from Operation: 10*8=80 Current State: 43:[37, 80], Operations: ['54-46=8', '10*8=80'] Exploring Operation: 80-37=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 88, 52, 30, 26 ]
56
[ "88-30=58", "52/26=2", "58-2=56" ]
Current State: 56:[88, 52, 30, 26], Operations: [] Exploring Operation: 88-30=58, Resulting Numbers: [52, 26, 58] Generated Node #2: [52, 26, 58] from Operation: 88-30=58 Current State: 56:[52, 26, 58], Operations: ['88-30=58'] Exploring Operation: 52/26=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 52/26=2 Current State: 56:[58, 2], Operations: ['88-30=58', '52/26=2'] Exploring Operation: 58-2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 66, 8, 37, 87 ]
11
[ "66-37=29", "87/29=3", "8+3=11" ]
Current State: 11:[66, 8, 37, 87], Operations: [] Exploring Operation: 66-37=29, Resulting Numbers: [8, 87, 29] Generated Node #2: [8, 87, 29] from Operation: 66-37=29 Current State: 11:[8, 87, 29], Operations: ['66-37=29'] Exploring Operation: 87/29=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 87/29=3 Current State: 11:[8, 3], Operations: ['66-37=29', '87/29=3'] Exploring Operation: 8+3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 57, 69, 16, 92 ]
100
[ "69-57=12", "16*12=192", "192-92=100" ]
Current State: 100:[57, 69, 16, 92], Operations: [] Exploring Operation: 69-57=12, Resulting Numbers: [16, 92, 12] Generated Node #2: [16, 92, 12] from Operation: 69-57=12 Current State: 100:[16, 92, 12], Operations: ['69-57=12'] Exploring Operation: 16*12=192, Resulting Numbers: [92, 192] Generated Node #3: [92, 192] from Operation: 16*12=192 Current State: 100:[92, 192], Operations: ['69-57=12', '16*12=192'] Exploring Operation: 192-92=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 48, 43, 65, 5 ]
65
[ "48-43=5", "65+5=70", "70-5=65" ]
Current State: 65:[48, 43, 65, 5], Operations: [] Exploring Operation: 48-43=5, Resulting Numbers: [65, 5, 5] Generated Node #2: [65, 5, 5] from Operation: 48-43=5 Current State: 65:[65, 5, 5], Operations: ['48-43=5'] Exploring Operation: 65+5=70, Resulting Numbers: [70] 70,65 equal: Goal Reached Exploring Operation: 70-5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 73, 91, 30, 13 ]
50
[ "73-30=43", "91/13=7", "43+7=50" ]
Current State: 50:[73, 91, 30, 13], Operations: [] Exploring Operation: 73-30=43, Resulting Numbers: [91, 13, 43] Generated Node #2: [91, 13, 43] from Operation: 73-30=43 Current State: 50:[91, 13, 43], Operations: ['73-30=43'] Exploring Operation: 91/13=7, Resulting Numbers: [43, 7] Generated Node #3: [43, 7] from Operation: 91/13=7 Current State: 50:[43, 7], Operations: ['73-30=43', '91/13=7'] Exploring Operation: 43+7=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 99, 78, 3, 9 ]
10
[ "99-78=21", "9+21=30", "30/3=10" ]
Current State: 10:[99, 78, 3, 9], Operations: [] Exploring Operation: 99-78=21, Resulting Numbers: [3, 9, 21] Generated Node #2: [3, 9, 21] from Operation: 99-78=21 Current State: 10:[3, 9, 21], Operations: ['99-78=21'] Exploring Operation: 9+21=30, Resulting Numbers: [3, 30] Generated Node #3: [3, 30] from Operation: 9+21=30 Current State: 10:[3, 30], Operations: ['99-78=21', '9+21=30'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 2, 54, 62, 52 ]
59
[ "62-52=10", "10/2=5", "54+5=59" ]
Current State: 59:[2, 54, 62, 52], Operations: [] Exploring Operation: 62-52=10, Resulting Numbers: [2, 54, 10] Generated Node #2: [2, 54, 10] from Operation: 62-52=10 Current State: 59:[2, 54, 10], Operations: ['62-52=10'] Exploring Operation: 10/2=5, Resulting Numbers: [54, 5] Generated Node #3: [54, 5] from Operation: 10/2=5 Current State: 59:[54, 5], Operations: ['62-52=10', '10/2=5'] Exploring Operation: 54+5=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 36, 4, 34, 60 ]
40
[ "36+34=70", "70-60=10", "4*10=40" ]
Current State: 40:[36, 4, 34, 60], Operations: [] Exploring Operation: 36+34=70, Resulting Numbers: [4, 60, 70] Generated Node #2: [4, 60, 70] from Operation: 36+34=70 Current State: 40:[4, 60, 70], Operations: ['36+34=70'] Exploring Operation: 70-60=10, Resulting Numbers: [4, 10] Generated Node #3: [4, 10] from Operation: 70-60=10 Current State: 40:[4, 10], Operations: ['36+34=70', '70-60=10'] Exploring Operation: 4*10=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 82, 94, 92, 13 ]
28
[ "94-92=2", "82/2=41", "41-13=28" ]
Current State: 28:[82, 94, 92, 13], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [82, 13, 2] Generated Node #2: [82, 13, 2] from Operation: 94-92=2 Current State: 28:[82, 13, 2], Operations: ['94-92=2'] Exploring Operation: 82/2=41, Resulting Numbers: [13, 41] Generated Node #3: [13, 41] from Operation: 82/2=41 Current State: 28:[13, 41], Operations: ['94-92=2', '82/2=41'] Exploring Operation: 41-13=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 10, 7, 33, 32 ]
67
[ "10-7=3", "33*3=99", "99-32=67" ]
Current State: 67:[10, 7, 33, 32], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [33, 32, 3] Generated Node #2: [33, 32, 3] from Operation: 10-7=3 Current State: 67:[33, 32, 3], Operations: ['10-7=3'] Exploring Operation: 33*3=99, Resulting Numbers: [32, 99] Generated Node #3: [32, 99] from Operation: 33*3=99 Current State: 67:[32, 99], Operations: ['10-7=3', '33*3=99'] Exploring Operation: 99-32=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 4, 11, 43, 82 ]
24
[ "4+11=15", "82-43=39", "39-15=24" ]
Current State: 24:[4, 11, 43, 82], Operations: [] Exploring Operation: 4+11=15, Resulting Numbers: [43, 82, 15] Generated Node #2: [43, 82, 15] from Operation: 4+11=15 Current State: 24:[43, 82, 15], Operations: ['4+11=15'] Exploring Operation: 82-43=39, Resulting Numbers: [15, 39] Generated Node #3: [15, 39] from Operation: 82-43=39 Current State: 24:[15, 39], Operations: ['4+11=15', '82-43=39'] Exploring Operation: 39-15=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 87, 16, 83, 36 ]
48
[ "87-16=71", "83+36=119", "119-71=48" ]
Current State: 48:[87, 16, 83, 36], Operations: [] Exploring Operation: 87-16=71, Resulting Numbers: [83, 36, 71] Generated Node #2: [83, 36, 71] from Operation: 87-16=71 Current State: 48:[83, 36, 71], Operations: ['87-16=71'] Exploring Operation: 83+36=119, Resulting Numbers: [71, 119] Generated Node #3: [71, 119] from Operation: 83+36=119 Current State: 48:[71, 119], Operations: ['87-16=71', '83+36=119'] Exploring Operation: 119-71=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 79, 80, 36, 75 ]
64
[ "79-75=4", "36*4=144", "144-80=64" ]
Current State: 64:[79, 80, 36, 75], Operations: [] Exploring Operation: 79-75=4, Resulting Numbers: [80, 36, 4] Generated Node #2: [80, 36, 4] from Operation: 79-75=4 Current State: 64:[80, 36, 4], Operations: ['79-75=4'] Exploring Operation: 36*4=144, Resulting Numbers: [80, 144] Generated Node #3: [80, 144] from Operation: 36*4=144 Current State: 64:[80, 144], Operations: ['79-75=4', '36*4=144'] Exploring Operation: 144-80=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 23, 83, 18, 16 ]
30
[ "83-23=60", "18-16=2", "60/2=30" ]
Current State: 30:[23, 83, 18, 16], Operations: [] Exploring Operation: 83-23=60, Resulting Numbers: [18, 16, 60] Generated Node #2: [18, 16, 60] from Operation: 83-23=60 Current State: 30:[18, 16, 60], Operations: ['83-23=60'] Exploring Operation: 18-16=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 18-16=2 Current State: 30:[60, 2], Operations: ['83-23=60', '18-16=2'] Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 2, 58, 62, 82 ]
84
[ "2+58=60", "62+82=144", "144-60=84" ]
Current State: 84:[2, 58, 62, 82], Operations: [] Exploring Operation: 2+58=60, Resulting Numbers: [62, 82, 60] Generated Node #2: [62, 82, 60] from Operation: 2+58=60 Current State: 84:[62, 82, 60], Operations: ['2+58=60'] Exploring Operation: 62+82=144, Resulting Numbers: [60, 144] Generated Node #3: [60, 144] from Operation: 62+82=144 Current State: 84:[60, 144], Operations: ['2+58=60', '62+82=144'] Exploring Operation: 144-60=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 58, 3, 5, 14 ]
59
[ "58-14=44", "3*5=15", "44+15=59" ]
Current State: 59:[58, 3, 5, 14], Operations: [] Exploring Operation: 58-14=44, Resulting Numbers: [3, 5, 44] Generated Node #2: [3, 5, 44] from Operation: 58-14=44 Current State: 59:[3, 5, 44], Operations: ['58-14=44'] Exploring Operation: 3*5=15, Resulting Numbers: [44, 15] Generated Node #3: [44, 15] from Operation: 3*5=15 Current State: 59:[44, 15], Operations: ['58-14=44', '3*5=15'] Exploring Operation: 44+15=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 76, 9, 27, 93 ]
14
[ "93-76=17", "27/9=3", "17-3=14" ]
Current State: 14:[76, 9, 27, 93], Operations: [] Exploring Operation: 93-76=17, Resulting Numbers: [9, 27, 17] Generated Node #2: [9, 27, 17] from Operation: 93-76=17 Current State: 14:[9, 27, 17], Operations: ['93-76=17'] Exploring Operation: 27/9=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 27/9=3 Current State: 14:[17, 3], Operations: ['93-76=17', '27/9=3'] Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 8, 57, 81, 54 ]
51
[ "81-57=24", "24/8=3", "54-3=51" ]
Current State: 51:[8, 57, 81, 54], Operations: [] Exploring Operation: 81-57=24, Resulting Numbers: [8, 54, 24] Generated Node #2: [8, 54, 24] from Operation: 81-57=24 Current State: 51:[8, 54, 24], Operations: ['81-57=24'] Exploring Operation: 24/8=3, Resulting Numbers: [54, 3] Generated Node #3: [54, 3] from Operation: 24/8=3 Current State: 51:[54, 3], Operations: ['81-57=24', '24/8=3'] Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 25, 3, 82, 64 ]
10
[ "25+3=28", "82-64=18", "28-18=10" ]
Current State: 10:[25, 3, 82, 64], Operations: [] Exploring Operation: 25+3=28, Resulting Numbers: [82, 64, 28] Generated Node #2: [82, 64, 28] from Operation: 25+3=28 Current State: 10:[82, 64, 28], Operations: ['25+3=28'] Exploring Operation: 82-64=18, Resulting Numbers: [28, 18] Generated Node #3: [28, 18] from Operation: 82-64=18 Current State: 10:[28, 18], Operations: ['25+3=28', '82-64=18'] Exploring Operation: 28-18=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 28, 13, 71, 13 ]
99
[ "28+13=41", "71-13=58", "41+58=99" ]
Current State: 99:[28, 13, 71, 13], Operations: [] Exploring Operation: 28+13=41, Resulting Numbers: [71, 41] Generated Node #2: [71, 41] from Operation: 28+13=41 Current State: 99:[71, 41], Operations: ['28+13=41'] Exploring Operation: 71-13=58, Resulting Numbers: [41, 58] Generated Node #3: [41, 58] from Operation: 71-13=58 Current State: 99:[41, 58], Operations: ['28+13=41', '71-13=58'] Exploring Operation: 41+58=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 19, 50, 4, 57 ]
43
[ "57/19=3", "50-4=46", "46-3=43" ]
Current State: 43:[19, 50, 4, 57], Operations: [] Exploring Operation: 57/19=3, Resulting Numbers: [50, 4, 3] Generated Node #2: [50, 4, 3] from Operation: 57/19=3 Current State: 43:[50, 4, 3], Operations: ['57/19=3'] Exploring Operation: 50-4=46, Resulting Numbers: [3, 46] Generated Node #3: [3, 46] from Operation: 50-4=46 Current State: 43:[3, 46], Operations: ['57/19=3', '50-4=46'] Exploring Operation: 46-3=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 88, 30, 71, 8 ]
67
[ "30-8=22", "88/22=4", "71-4=67" ]
Current State: 67:[88, 30, 71, 8], Operations: [] Exploring Operation: 30-8=22, Resulting Numbers: [88, 71, 22] Generated Node #2: [88, 71, 22] from Operation: 30-8=22 Current State: 67:[88, 71, 22], Operations: ['30-8=22'] Exploring Operation: 88/22=4, Resulting Numbers: [71, 4] Generated Node #3: [71, 4] from Operation: 88/22=4 Current State: 67:[71, 4], Operations: ['30-8=22', '88/22=4'] Exploring Operation: 71-4=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 36, 79, 6, 53 ]
58
[ "79+53=132", "132/6=22", "36+22=58" ]
Current State: 58:[36, 79, 6, 53], Operations: [] Exploring Operation: 79+53=132, Resulting Numbers: [36, 6, 132] Generated Node #2: [36, 6, 132] from Operation: 79+53=132 Current State: 58:[36, 6, 132], Operations: ['79+53=132'] Exploring Operation: 132/6=22, Resulting Numbers: [36, 22] Generated Node #3: [36, 22] from Operation: 132/6=22 Current State: 58:[36, 22], Operations: ['79+53=132', '132/6=22'] Exploring Operation: 36+22=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 51, 50, 81, 15 ]
66
[ "51-50=1", "81-15=66", "1*66=66" ]
Current State: 66:[51, 50, 81, 15], Operations: [] Exploring Operation: 51-50=1, Resulting Numbers: [81, 15, 1] Generated Node #2: [81, 15, 1] from Operation: 51-50=1 Current State: 66:[81, 15, 1], Operations: ['51-50=1'] Exploring Operation: 81-15=66, Resulting Numbers: [1, 66] Generated Node #3: [1, 66] from Operation: 81-15=66 Current State: 66:[1, 66], Operations: ['51-50=1', '81-15=66'] Exploring Operation: 1*66=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 8, 88, 53, 12 ]
79
[ "88/8=11", "12*11=132", "132-53=79" ]
Current State: 79:[8, 88, 53, 12], Operations: [] Exploring Operation: 88/8=11, Resulting Numbers: [53, 12, 11] Generated Node #2: [53, 12, 11] from Operation: 88/8=11 Current State: 79:[53, 12, 11], Operations: ['88/8=11'] Exploring Operation: 12*11=132, Resulting Numbers: [53, 132] Generated Node #3: [53, 132] from Operation: 12*11=132 Current State: 79:[53, 132], Operations: ['88/8=11', '12*11=132'] Exploring Operation: 132-53=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 75, 82, 3, 65 ]
86
[ "82-75=7", "3*7=21", "65+21=86" ]
Current State: 86:[75, 82, 3, 65], Operations: [] Exploring Operation: 82-75=7, Resulting Numbers: [3, 65, 7] Generated Node #2: [3, 65, 7] from Operation: 82-75=7 Current State: 86:[3, 65, 7], Operations: ['82-75=7'] Exploring Operation: 3*7=21, Resulting Numbers: [65, 21] Generated Node #3: [65, 21] from Operation: 3*7=21 Current State: 86:[65, 21], Operations: ['82-75=7', '3*7=21'] Exploring Operation: 65+21=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 21, 91, 57, 91 ]
78
[ "21+91=112", "91-57=34", "112-34=78" ]
Current State: 78:[21, 91, 57, 91], Operations: [] Exploring Operation: 21+91=112, Resulting Numbers: [57, 112] Generated Node #2: [57, 112] from Operation: 21+91=112 Current State: 78:[57, 112], Operations: ['21+91=112'] Exploring Operation: 91-57=34, Resulting Numbers: [112, 34] Generated Node #3: [112, 34] from Operation: 91-57=34 Current State: 78:[112, 34], Operations: ['21+91=112', '91-57=34'] Exploring Operation: 112-34=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 45, 58, 10, 85 ]
88
[ "58-45=13", "85-10=75", "13+75=88" ]
Current State: 88:[45, 58, 10, 85], Operations: [] Exploring Operation: 58-45=13, Resulting Numbers: [10, 85, 13] Generated Node #2: [10, 85, 13] from Operation: 58-45=13 Current State: 88:[10, 85, 13], Operations: ['58-45=13'] Exploring Operation: 85-10=75, Resulting Numbers: [13, 75] Generated Node #3: [13, 75] from Operation: 85-10=75 Current State: 88:[13, 75], Operations: ['58-45=13', '85-10=75'] Exploring Operation: 13+75=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 81, 81, 29, 79 ]
26
[ "81-29=52", "81-79=2", "52/2=26" ]
Current State: 26:[81, 81, 29, 79], Operations: [] Exploring Operation: 81-29=52, Resulting Numbers: [79, 52] Generated Node #2: [79, 52] from Operation: 81-29=52 Current State: 26:[79, 52], Operations: ['81-29=52'] Exploring Operation: 81-79=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 81-79=2 Current State: 26:[52, 2], Operations: ['81-29=52', '81-79=2'] Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 81, 3, 6, 89 ]
30
[ "81+3=84", "89-84=5", "6*5=30" ]
Current State: 30:[81, 3, 6, 89], Operations: [] Exploring Operation: 81+3=84, Resulting Numbers: [6, 89, 84] Generated Node #2: [6, 89, 84] from Operation: 81+3=84 Current State: 30:[6, 89, 84], Operations: ['81+3=84'] Exploring Operation: 89-84=5, Resulting Numbers: [6, 5] Generated Node #3: [6, 5] from Operation: 89-84=5 Current State: 30:[6, 5], Operations: ['81+3=84', '89-84=5'] Exploring Operation: 6*5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 65, 57, 97, 16 ]
59
[ "97-65=32", "32/16=2", "57+2=59" ]
Current State: 59:[65, 57, 97, 16], Operations: [] Exploring Operation: 97-65=32, Resulting Numbers: [57, 16, 32] Generated Node #2: [57, 16, 32] from Operation: 97-65=32 Current State: 59:[57, 16, 32], Operations: ['97-65=32'] Exploring Operation: 32/16=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 32/16=2 Current State: 59:[57, 2], Operations: ['97-65=32', '32/16=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 2, 42, 5, 12 ]
13
[ "2*12=24", "42-5=37", "37-24=13" ]
Current State: 13:[2, 42, 5, 12], Operations: [] Exploring Operation: 2*12=24, Resulting Numbers: [42, 5, 24] Generated Node #2: [42, 5, 24] from Operation: 2*12=24 Current State: 13:[42, 5, 24], Operations: ['2*12=24'] Exploring Operation: 42-5=37, Resulting Numbers: [24, 37] Generated Node #3: [24, 37] from Operation: 42-5=37 Current State: 13:[24, 37], Operations: ['2*12=24', '42-5=37'] Exploring Operation: 37-24=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 20, 86, 20, 30 ]
55
[ "20/20=1", "86-30=56", "56-1=55" ]
Current State: 55:[20, 86, 20, 30], Operations: [] Exploring Operation: 20/20=1, Resulting Numbers: [86, 30, 1] Generated Node #2: [86, 30, 1] from Operation: 20/20=1 Current State: 55:[86, 30, 1], Operations: ['20/20=1'] Exploring Operation: 86-30=56, Resulting Numbers: [1, 56] Generated Node #3: [1, 56] from Operation: 86-30=56 Current State: 55:[1, 56], Operations: ['20/20=1', '86-30=56'] Exploring Operation: 56-1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 23, 1, 98, 58 ]
63
[ "23*1=23", "98-58=40", "23+40=63" ]
Current State: 63:[23, 1, 98, 58], Operations: [] Exploring Operation: 23*1=23, Resulting Numbers: [98, 58, 23] Generated Node #2: [98, 58, 23] from Operation: 23*1=23 Current State: 63:[98, 58, 23], Operations: ['23*1=23'] Exploring Operation: 98-58=40, Resulting Numbers: [23, 40] Generated Node #3: [23, 40] from Operation: 98-58=40 Current State: 63:[23, 40], Operations: ['23*1=23', '98-58=40'] Exploring Operation: 23+40=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 33, 63, 70, 99 ]
10
[ "99/33=3", "70-63=7", "3+7=10" ]
Current State: 10:[33, 63, 70, 99], Operations: [] Exploring Operation: 99/33=3, Resulting Numbers: [63, 70, 3] Generated Node #2: [63, 70, 3] from Operation: 99/33=3 Current State: 10:[63, 70, 3], Operations: ['99/33=3'] Exploring Operation: 70-63=7, Resulting Numbers: [3, 7] Generated Node #3: [3, 7] from Operation: 70-63=7 Current State: 10:[3, 7], Operations: ['99/33=3', '70-63=7'] Exploring Operation: 3+7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 22, 20, 10, 71 ]
59
[ "22-20=2", "71-10=61", "61-2=59" ]
Current State: 59:[22, 20, 10, 71], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [10, 71, 2] Generated Node #2: [10, 71, 2] from Operation: 22-20=2 Current State: 59:[10, 71, 2], Operations: ['22-20=2'] Exploring Operation: 71-10=61, Resulting Numbers: [2, 61] Generated Node #3: [2, 61] from Operation: 71-10=61 Current State: 59:[2, 61], Operations: ['22-20=2', '71-10=61'] Exploring Operation: 61-2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 88, 4, 35, 78 ]
86
[ "4+35=39", "78/39=2", "88-2=86" ]
Current State: 86:[88, 4, 35, 78], Operations: [] Exploring Operation: 4+35=39, Resulting Numbers: [88, 78, 39] Generated Node #2: [88, 78, 39] from Operation: 4+35=39 Current State: 86:[88, 78, 39], Operations: ['4+35=39'] Exploring Operation: 78/39=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 78/39=2 Current State: 86:[88, 2], Operations: ['4+35=39', '78/39=2'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 59, 55, 2, 28 ]
91
[ "59*2=118", "55-28=27", "118-27=91" ]
Current State: 91:[59, 55, 2, 28], Operations: [] Exploring Operation: 59*2=118, Resulting Numbers: [55, 28, 118] Generated Node #2: [55, 28, 118] from Operation: 59*2=118 Current State: 91:[55, 28, 118], Operations: ['59*2=118'] Exploring Operation: 55-28=27, Resulting Numbers: [118, 27] Generated Node #3: [118, 27] from Operation: 55-28=27 Current State: 91:[118, 27], Operations: ['59*2=118', '55-28=27'] Exploring Operation: 118-27=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 39, 98, 70, 5 ]
45
[ "98-39=59", "70/5=14", "59-14=45" ]
Current State: 45:[39, 98, 70, 5], Operations: [] Exploring Operation: 98-39=59, Resulting Numbers: [70, 5, 59] Generated Node #2: [70, 5, 59] from Operation: 98-39=59 Current State: 45:[70, 5, 59], Operations: ['98-39=59'] Exploring Operation: 70/5=14, Resulting Numbers: [59, 14] Generated Node #3: [59, 14] from Operation: 70/5=14 Current State: 45:[59, 14], Operations: ['98-39=59', '70/5=14'] Exploring Operation: 59-14=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 78, 39, 28, 41 ]
52
[ "78-39=39", "41-28=13", "39+13=52" ]
Current State: 52:[78, 39, 28, 41], Operations: [] Exploring Operation: 78-39=39, Resulting Numbers: [28, 41, 39] Generated Node #2: [28, 41, 39] from Operation: 78-39=39 Current State: 52:[28, 41, 39], Operations: ['78-39=39'] Exploring Operation: 41-28=13, Resulting Numbers: [39, 13] Generated Node #3: [39, 13] from Operation: 41-28=13 Current State: 52:[39, 13], Operations: ['78-39=39', '41-28=13'] Exploring Operation: 39+13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 4, 38, 37, 69 ]
46
[ "4*38=152", "37+69=106", "152-106=46" ]
Current State: 46:[4, 38, 37, 69], Operations: [] Exploring Operation: 4*38=152, Resulting Numbers: [37, 69, 152] Generated Node #2: [37, 69, 152] from Operation: 4*38=152 Current State: 46:[37, 69, 152], Operations: ['4*38=152'] Exploring Operation: 37+69=106, Resulting Numbers: [152, 106] Generated Node #3: [152, 106] from Operation: 37+69=106 Current State: 46:[152, 106], Operations: ['4*38=152', '37+69=106'] Exploring Operation: 152-106=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 43, 52, 3, 26 ]
72
[ "43+52=95", "26-3=23", "95-23=72" ]
Current State: 72:[43, 52, 3, 26], Operations: [] Exploring Operation: 43+52=95, Resulting Numbers: [3, 26, 95] Generated Node #2: [3, 26, 95] from Operation: 43+52=95 Current State: 72:[3, 26, 95], Operations: ['43+52=95'] Exploring Operation: 26-3=23, Resulting Numbers: [95, 23] Generated Node #3: [95, 23] from Operation: 26-3=23 Current State: 72:[95, 23], Operations: ['43+52=95', '26-3=23'] Exploring Operation: 95-23=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 6, 2, 59, 89 ]
37
[ "6-2=4", "59+89=148", "148/4=37" ]
Current State: 37:[6, 2, 59, 89], Operations: [] Exploring Operation: 6-2=4, Resulting Numbers: [59, 89, 4] Generated Node #2: [59, 89, 4] from Operation: 6-2=4 Current State: 37:[59, 89, 4], Operations: ['6-2=4'] Exploring Operation: 59+89=148, Resulting Numbers: [4, 148] Generated Node #3: [4, 148] from Operation: 59+89=148 Current State: 37:[4, 148], Operations: ['6-2=4', '59+89=148'] Exploring Operation: 148/4=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 38, 2, 47, 93 ]
63
[ "93-38=55", "2*55=110", "110-47=63" ]
Current State: 63:[38, 2, 47, 93], Operations: [] Exploring Operation: 93-38=55, Resulting Numbers: [2, 47, 55] Generated Node #2: [2, 47, 55] from Operation: 93-38=55 Current State: 63:[2, 47, 55], Operations: ['93-38=55'] Exploring Operation: 2*55=110, Resulting Numbers: [47, 110] Generated Node #3: [47, 110] from Operation: 2*55=110 Current State: 63:[47, 110], Operations: ['93-38=55', '2*55=110'] Exploring Operation: 110-47=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 7, 60, 3, 35 ]
75
[ "35/7=5", "3*5=15", "60+15=75" ]
Current State: 75:[7, 60, 3, 35], Operations: [] Exploring Operation: 35/7=5, Resulting Numbers: [60, 3, 5] Generated Node #2: [60, 3, 5] from Operation: 35/7=5 Current State: 75:[60, 3, 5], Operations: ['35/7=5'] Exploring Operation: 3*5=15, Resulting Numbers: [60, 15] Generated Node #3: [60, 15] from Operation: 3*5=15 Current State: 75:[60, 15], Operations: ['35/7=5', '3*5=15'] Exploring Operation: 60+15=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 49, 57, 31, 72 ]
22
[ "57-49=8", "72/8=9", "31-9=22" ]
Current State: 22:[49, 57, 31, 72], Operations: [] Exploring Operation: 57-49=8, Resulting Numbers: [31, 72, 8] Generated Node #2: [31, 72, 8] from Operation: 57-49=8 Current State: 22:[31, 72, 8], Operations: ['57-49=8'] Exploring Operation: 72/8=9, Resulting Numbers: [31, 9] Generated Node #3: [31, 9] from Operation: 72/8=9 Current State: 22:[31, 9], Operations: ['57-49=8', '72/8=9'] Exploring Operation: 31-9=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 29, 61, 10, 64 ]
73
[ "29+61=90", "90/10=9", "64+9=73" ]
Current State: 73:[29, 61, 10, 64], Operations: [] Exploring Operation: 29+61=90, Resulting Numbers: [10, 64, 90] Generated Node #2: [10, 64, 90] from Operation: 29+61=90 Current State: 73:[10, 64, 90], Operations: ['29+61=90'] Exploring Operation: 90/10=9, Resulting Numbers: [64, 9] Generated Node #3: [64, 9] from Operation: 90/10=9 Current State: 73:[64, 9], Operations: ['29+61=90', '90/10=9'] Exploring Operation: 64+9=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 60, 98, 28, 72 ]
84
[ "98-28=70", "72*70=5040", "5040/60=84" ]
Current State: 84:[60, 98, 28, 72], Operations: [] Exploring Operation: 98-28=70, Resulting Numbers: [60, 72, 70] Generated Node #2: [60, 72, 70] from Operation: 98-28=70 Current State: 84:[60, 72, 70], Operations: ['98-28=70'] Exploring Operation: 72*70=5040, Resulting Numbers: [60, 5040] Generated Node #3: [60, 5040] from Operation: 72*70=5040 Current State: 84:[60, 5040], Operations: ['98-28=70', '72*70=5040'] Exploring Operation: 5040/60=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 91, 59, 50, 99 ]
17
[ "91-59=32", "99-50=49", "49-32=17" ]
Current State: 17:[91, 59, 50, 99], Operations: [] Exploring Operation: 91-59=32, Resulting Numbers: [50, 99, 32] Generated Node #2: [50, 99, 32] from Operation: 91-59=32 Current State: 17:[50, 99, 32], Operations: ['91-59=32'] Exploring Operation: 99-50=49, Resulting Numbers: [32, 49] Generated Node #3: [32, 49] from Operation: 99-50=49 Current State: 17:[32, 49], Operations: ['91-59=32', '99-50=49'] Exploring Operation: 49-32=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 90, 49, 72, 44 ]
69
[ "90-49=41", "72-44=28", "41+28=69" ]
Current State: 69:[90, 49, 72, 44], Operations: [] Exploring Operation: 90-49=41, Resulting Numbers: [72, 44, 41] Generated Node #2: [72, 44, 41] from Operation: 90-49=41 Current State: 69:[72, 44, 41], Operations: ['90-49=41'] Exploring Operation: 72-44=28, Resulting Numbers: [41, 28] Generated Node #3: [41, 28] from Operation: 72-44=28 Current State: 69:[41, 28], Operations: ['90-49=41', '72-44=28'] Exploring Operation: 41+28=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 3, 27, 22, 68 ]
53
[ "27-22=5", "3*5=15", "68-15=53" ]
Current State: 53:[3, 27, 22, 68], Operations: [] Exploring Operation: 27-22=5, Resulting Numbers: [3, 68, 5] Generated Node #2: [3, 68, 5] from Operation: 27-22=5 Current State: 53:[3, 68, 5], Operations: ['27-22=5'] Exploring Operation: 3*5=15, Resulting Numbers: [68, 15] Generated Node #3: [68, 15] from Operation: 3*5=15 Current State: 53:[68, 15], Operations: ['27-22=5', '3*5=15'] Exploring Operation: 68-15=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 31, 31, 35, 10 ]
44
[ "31/31=1", "35+10=45", "45-1=44" ]
Current State: 44:[31, 31, 35, 10], Operations: [] Exploring Operation: 31/31=1, Resulting Numbers: [35, 10, 1] Generated Node #2: [35, 10, 1] from Operation: 31/31=1 Current State: 44:[35, 10, 1], Operations: ['31/31=1'] Exploring Operation: 35+10=45, Resulting Numbers: [1, 45] Generated Node #3: [1, 45] from Operation: 35+10=45 Current State: 44:[1, 45], Operations: ['31/31=1', '35+10=45'] Exploring Operation: 45-1=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 20, 1, 37, 39 ]
21
[ "20-1=19", "39-37=2", "19+2=21" ]
Current State: 21:[20, 1, 37, 39], Operations: [] Exploring Operation: 20-1=19, Resulting Numbers: [37, 39, 19] Generated Node #2: [37, 39, 19] from Operation: 20-1=19 Current State: 21:[37, 39, 19], Operations: ['20-1=19'] Exploring Operation: 39-37=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 39-37=2 Current State: 21:[19, 2], Operations: ['20-1=19', '39-37=2'] Exploring Operation: 19+2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 2, 4, 68, 5 ]
40
[ "2+5=7", "4*7=28", "68-28=40" ]
Current State: 40:[2, 4, 68, 5], Operations: [] Exploring Operation: 2+5=7, Resulting Numbers: [4, 68, 7] Generated Node #2: [4, 68, 7] from Operation: 2+5=7 Current State: 40:[4, 68, 7], Operations: ['2+5=7'] Exploring Operation: 4*7=28, Resulting Numbers: [68, 28] Generated Node #3: [68, 28] from Operation: 4*7=28 Current State: 40:[68, 28], Operations: ['2+5=7', '4*7=28'] Exploring Operation: 68-28=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 99, 72, 64, 9 ]
99
[ "72-64=8", "9-8=1", "99*1=99" ]
Current State: 99:[99, 72, 64, 9], Operations: [] Exploring Operation: 72-64=8, Resulting Numbers: [99, 9, 8] Generated Node #2: [99, 9, 8] from Operation: 72-64=8 Current State: 99:[99, 9, 8], Operations: ['72-64=8'] Exploring Operation: 9-8=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 9-8=1 Current State: 99:[99, 1], Operations: ['72-64=8', '9-8=1'] Exploring Operation: 99*1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 9, 52, 53, 36 ]
27
[ "36-9=27", "53-52=1", "27*1=27" ]
Current State: 27:[9, 52, 53, 36], Operations: [] Exploring Operation: 36-9=27, Resulting Numbers: [52, 53, 27] Generated Node #2: [52, 53, 27] from Operation: 36-9=27 Current State: 27:[52, 53, 27], Operations: ['36-9=27'] Exploring Operation: 53-52=1, Resulting Numbers: [27, 1] Generated Node #3: [27, 1] from Operation: 53-52=1 Current State: 27:[27, 1], Operations: ['36-9=27', '53-52=1'] Exploring Operation: 27*1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 9, 13, 1, 1 ]
17
[ "1+1=2", "13*2=26", "26-9=17" ]
Current State: 17:[9, 13, 1, 1], Operations: [] Exploring Operation: 1+1=2, Resulting Numbers: [9, 13, 2] Generated Node #2: [9, 13, 2] from Operation: 1+1=2 Current State: 17:[9, 13, 2], Operations: ['1+1=2'] Exploring Operation: 13*2=26, Resulting Numbers: [9, 26] Generated Node #3: [9, 26] from Operation: 13*2=26 Current State: 17:[9, 26], Operations: ['1+1=2', '13*2=26'] Exploring Operation: 26-9=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 14, 64, 84, 22 ]
36
[ "84/14=6", "64-22=42", "42-6=36" ]
Current State: 36:[14, 64, 84, 22], Operations: [] Exploring Operation: 84/14=6, Resulting Numbers: [64, 22, 6] Generated Node #2: [64, 22, 6] from Operation: 84/14=6 Current State: 36:[64, 22, 6], Operations: ['84/14=6'] Exploring Operation: 64-22=42, Resulting Numbers: [6, 42] Generated Node #3: [6, 42] from Operation: 64-22=42 Current State: 36:[6, 42], Operations: ['84/14=6', '64-22=42'] Exploring Operation: 42-6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 55, 3, 2, 28 ]
46
[ "55*2=110", "28+110=138", "138/3=46" ]
Current State: 46:[55, 3, 2, 28], Operations: [] Exploring Operation: 55*2=110, Resulting Numbers: [3, 28, 110] Generated Node #2: [3, 28, 110] from Operation: 55*2=110 Current State: 46:[3, 28, 110], Operations: ['55*2=110'] Exploring Operation: 28+110=138, Resulting Numbers: [3, 138] Generated Node #3: [3, 138] from Operation: 28+110=138 Current State: 46:[3, 138], Operations: ['55*2=110', '28+110=138'] Exploring Operation: 138/3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 21, 39, 4, 70 ]
85
[ "21+39=60", "60/4=15", "70+15=85" ]
Current State: 85:[21, 39, 4, 70], Operations: [] Exploring Operation: 21+39=60, Resulting Numbers: [4, 70, 60] Generated Node #2: [4, 70, 60] from Operation: 21+39=60 Current State: 85:[4, 70, 60], Operations: ['21+39=60'] Exploring Operation: 60/4=15, Resulting Numbers: [70, 15] Generated Node #3: [70, 15] from Operation: 60/4=15 Current State: 85:[70, 15], Operations: ['21+39=60', '60/4=15'] Exploring Operation: 70+15=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 14, 81, 62, 17 ]
16
[ "14+81=95", "62+17=79", "95-79=16" ]
Current State: 16:[14, 81, 62, 17], Operations: [] Exploring Operation: 14+81=95, Resulting Numbers: [62, 17, 95] Generated Node #2: [62, 17, 95] from Operation: 14+81=95 Current State: 16:[62, 17, 95], Operations: ['14+81=95'] Exploring Operation: 62+17=79, Resulting Numbers: [95, 79] Generated Node #3: [95, 79] from Operation: 62+17=79 Current State: 16:[95, 79], Operations: ['14+81=95', '62+17=79'] Exploring Operation: 95-79=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 19, 19, 6, 37 ]
30
[ "19/19=1", "37-6=31", "31-1=30" ]
Current State: 30:[19, 19, 6, 37], Operations: [] Exploring Operation: 19/19=1, Resulting Numbers: [6, 37, 1] Generated Node #2: [6, 37, 1] from Operation: 19/19=1 Current State: 30:[6, 37, 1], Operations: ['19/19=1'] Exploring Operation: 37-6=31, Resulting Numbers: [1, 31] Generated Node #3: [1, 31] from Operation: 37-6=31 Current State: 30:[1, 31], Operations: ['19/19=1', '37-6=31'] Exploring Operation: 31-1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 21, 87, 28, 11 ]
83
[ "87-21=66", "28-11=17", "66+17=83" ]
Current State: 83:[21, 87, 28, 11], Operations: [] Exploring Operation: 87-21=66, Resulting Numbers: [28, 11, 66] Generated Node #2: [28, 11, 66] from Operation: 87-21=66 Current State: 83:[28, 11, 66], Operations: ['87-21=66'] Exploring Operation: 28-11=17, Resulting Numbers: [66, 17] Generated Node #3: [66, 17] from Operation: 28-11=17 Current State: 83:[66, 17], Operations: ['87-21=66', '28-11=17'] Exploring Operation: 66+17=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 53, 67, 24, 33 ]
28
[ "53+67=120", "120/24=5", "33-5=28" ]
Current State: 28:[53, 67, 24, 33], Operations: [] Exploring Operation: 53+67=120, Resulting Numbers: [24, 33, 120] Generated Node #2: [24, 33, 120] from Operation: 53+67=120 Current State: 28:[24, 33, 120], Operations: ['53+67=120'] Exploring Operation: 120/24=5, Resulting Numbers: [33, 5] Generated Node #3: [33, 5] from Operation: 120/24=5 Current State: 28:[33, 5], Operations: ['53+67=120', '120/24=5'] Exploring Operation: 33-5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 86, 44, 39, 43 ]
39
[ "86-44=42", "43-42=1", "39*1=39" ]
Current State: 39:[86, 44, 39, 43], Operations: [] Exploring Operation: 86-44=42, Resulting Numbers: [39, 43, 42] Generated Node #2: [39, 43, 42] from Operation: 86-44=42 Current State: 39:[39, 43, 42], Operations: ['86-44=42'] Exploring Operation: 43-42=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 43-42=1 Current State: 39:[39, 1], Operations: ['86-44=42', '43-42=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 68, 55, 32, 4 ]
15
[ "68-55=13", "32-4=28", "28-13=15" ]
Current State: 15:[68, 55, 32, 4], Operations: [] Exploring Operation: 68-55=13, Resulting Numbers: [32, 4, 13] Generated Node #2: [32, 4, 13] from Operation: 68-55=13 Current State: 15:[32, 4, 13], Operations: ['68-55=13'] Exploring Operation: 32-4=28, Resulting Numbers: [13, 28] Generated Node #3: [13, 28] from Operation: 32-4=28 Current State: 15:[13, 28], Operations: ['68-55=13', '32-4=28'] Exploring Operation: 28-13=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 79, 41, 14, 32 ]
74
[ "79+41=120", "14+32=46", "120-46=74" ]
Current State: 74:[79, 41, 14, 32], Operations: [] Exploring Operation: 79+41=120, Resulting Numbers: [14, 32, 120] Generated Node #2: [14, 32, 120] from Operation: 79+41=120 Current State: 74:[14, 32, 120], Operations: ['79+41=120'] Exploring Operation: 14+32=46, Resulting Numbers: [120, 46] Generated Node #3: [120, 46] from Operation: 14+32=46 Current State: 74:[120, 46], Operations: ['79+41=120', '14+32=46'] Exploring Operation: 120-46=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 16, 55, 11, 73 ]
84
[ "16-11=5", "55/5=11", "73+11=84" ]
Current State: 84:[16, 55, 11, 73], Operations: [] Exploring Operation: 16-11=5, Resulting Numbers: [55, 73, 5] Generated Node #2: [55, 73, 5] from Operation: 16-11=5 Current State: 84:[55, 73, 5], Operations: ['16-11=5'] Exploring Operation: 55/5=11, Resulting Numbers: [73, 11] Generated Node #3: [73, 11] from Operation: 55/5=11 Current State: 84:[73, 11], Operations: ['16-11=5', '55/5=11'] Exploring Operation: 73+11=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 5, 36, 67, 1 ]
26
[ "5+36=41", "67*1=67", "67-41=26" ]
Current State: 26:[5, 36, 67, 1], Operations: [] Exploring Operation: 5+36=41, Resulting Numbers: [67, 1, 41] Generated Node #2: [67, 1, 41] from Operation: 5+36=41 Current State: 26:[67, 1, 41], Operations: ['5+36=41'] Exploring Operation: 67*1=67, Resulting Numbers: [41, 67] Generated Node #3: [41, 67] from Operation: 67*1=67 Current State: 26:[41, 67], Operations: ['5+36=41', '67*1=67'] Exploring Operation: 67-41=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 32, 55, 39, 14 ]
62
[ "32+55=87", "39-14=25", "87-25=62" ]
Current State: 62:[32, 55, 39, 14], Operations: [] Exploring Operation: 32+55=87, Resulting Numbers: [39, 14, 87] Generated Node #2: [39, 14, 87] from Operation: 32+55=87 Current State: 62:[39, 14, 87], Operations: ['32+55=87'] Exploring Operation: 39-14=25, Resulting Numbers: [87, 25] Generated Node #3: [87, 25] from Operation: 39-14=25 Current State: 62:[87, 25], Operations: ['32+55=87', '39-14=25'] Exploring Operation: 87-25=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 42, 65, 55, 98 ]
66
[ "65-42=23", "98-55=43", "23+43=66" ]
Current State: 66:[42, 65, 55, 98], Operations: [] Exploring Operation: 65-42=23, Resulting Numbers: [55, 98, 23] Generated Node #2: [55, 98, 23] from Operation: 65-42=23 Current State: 66:[55, 98, 23], Operations: ['65-42=23'] Exploring Operation: 98-55=43, Resulting Numbers: [23, 43] Generated Node #3: [23, 43] from Operation: 98-55=43 Current State: 66:[23, 43], Operations: ['65-42=23', '98-55=43'] Exploring Operation: 23+43=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 10, 81, 11, 11 ]
50
[ "81-10=71", "11*11=121", "121-71=50" ]
Current State: 50:[10, 81, 11, 11], Operations: [] Exploring Operation: 81-10=71, Resulting Numbers: [11, 11, 71] Generated Node #2: [11, 11, 71] from Operation: 81-10=71 Current State: 50:[11, 11, 71], Operations: ['81-10=71'] Exploring Operation: 11*11=121, Resulting Numbers: [71, 121] Generated Node #3: [71, 121] from Operation: 11*11=121 Current State: 50:[71, 121], Operations: ['81-10=71', '11*11=121'] Exploring Operation: 121-71=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 74, 61, 71, 57 ]
12
[ "74-71=3", "61-57=4", "3*4=12" ]
Current State: 12:[74, 61, 71, 57], Operations: [] Exploring Operation: 74-71=3, Resulting Numbers: [61, 57, 3] Generated Node #2: [61, 57, 3] from Operation: 74-71=3 Current State: 12:[61, 57, 3], Operations: ['74-71=3'] Exploring Operation: 61-57=4, Resulting Numbers: [3, 4] Generated Node #3: [3, 4] from Operation: 61-57=4 Current State: 12:[3, 4], Operations: ['74-71=3', '61-57=4'] Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 65, 41, 92, 39 ]
77
[ "65-41=24", "92-39=53", "24+53=77" ]
Current State: 77:[65, 41, 92, 39], Operations: [] Exploring Operation: 65-41=24, Resulting Numbers: [92, 39, 24] Generated Node #2: [92, 39, 24] from Operation: 65-41=24 Current State: 77:[92, 39, 24], Operations: ['65-41=24'] Exploring Operation: 92-39=53, Resulting Numbers: [24, 53] Generated Node #3: [24, 53] from Operation: 92-39=53 Current State: 77:[24, 53], Operations: ['65-41=24', '92-39=53'] Exploring Operation: 24+53=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 66, 32, 84, 39 ]
79
[ "66-32=34", "84-39=45", "34+45=79" ]
Current State: 79:[66, 32, 84, 39], Operations: [] Exploring Operation: 66-32=34, Resulting Numbers: [84, 39, 34] Generated Node #2: [84, 39, 34] from Operation: 66-32=34 Current State: 79:[84, 39, 34], Operations: ['66-32=34'] Exploring Operation: 84-39=45, Resulting Numbers: [34, 45] Generated Node #3: [34, 45] from Operation: 84-39=45 Current State: 79:[34, 45], Operations: ['66-32=34', '84-39=45'] Exploring Operation: 34+45=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 22, 55, 28, 7 ]
56
[ "22+55=77", "28-7=21", "77-21=56" ]
Current State: 56:[22, 55, 28, 7], Operations: [] Exploring Operation: 22+55=77, Resulting Numbers: [28, 7, 77] Generated Node #2: [28, 7, 77] from Operation: 22+55=77 Current State: 56:[28, 7, 77], Operations: ['22+55=77'] Exploring Operation: 28-7=21, Resulting Numbers: [77, 21] Generated Node #3: [77, 21] from Operation: 28-7=21 Current State: 56:[77, 21], Operations: ['22+55=77', '28-7=21'] Exploring Operation: 77-21=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 38, 58, 87, 57 ]
10
[ "58-38=20", "87-57=30", "30-20=10" ]
Current State: 10:[38, 58, 87, 57], Operations: [] Exploring Operation: 58-38=20, Resulting Numbers: [87, 57, 20] Generated Node #2: [87, 57, 20] from Operation: 58-38=20 Current State: 10:[87, 57, 20], Operations: ['58-38=20'] Exploring Operation: 87-57=30, Resulting Numbers: [20, 30] Generated Node #3: [20, 30] from Operation: 87-57=30 Current State: 10:[20, 30], Operations: ['58-38=20', '87-57=30'] Exploring Operation: 30-20=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4