nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 78, 15, 6, 80 ]
12
[ "80-78=2", "6/2=3", "15-3=12" ]
Current State: 12:[78, 15, 6, 80], Operations: [] Exploring Operation: 80-78=2, Resulting Numbers: [15, 6, 2] Generated Node #2: [15, 6, 2] from Operation: 80-78=2 Current State: 12:[15, 6, 2], Operations: ['80-78=2'] Exploring Operation: 6/2=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 6/2=3 Current State: 12:[15, 3], Operations: ['80-78=2', '6/2=3'] Exploring Operation: 15-3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 63, 17, 2, 21 ]
37
[ "63/21=3", "17*2=34", "3+34=37" ]
Current State: 37:[63, 17, 2, 21], Operations: [] Exploring Operation: 63/21=3, Resulting Numbers: [17, 2, 3] Generated Node #2: [17, 2, 3] from Operation: 63/21=3 Current State: 37:[17, 2, 3], Operations: ['63/21=3'] Exploring Operation: 17*2=34, Resulting Numbers: [3, 34] Generated Node #3: [3, 34] from Operation: 17*2=34 Current State: 37:[3, 34], Operations: ['63/21=3', '17*2=34'] Exploring Operation: 3+34=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 23, 6, 72, 34 ]
77
[ "23+6=29", "72+34=106", "106-29=77" ]
Current State: 77:[23, 6, 72, 34], Operations: [] Exploring Operation: 23+6=29, Resulting Numbers: [72, 34, 29] Generated Node #2: [72, 34, 29] from Operation: 23+6=29 Current State: 77:[72, 34, 29], Operations: ['23+6=29'] Exploring Operation: 72+34=106, Resulting Numbers: [29, 106] Generated Node #3: [29, 106] from Operation: 72+34=106 Current State: 77:[29, 106], Operations: ['23+6=29', '72+34=106'] Exploring Operation: 106-29=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 54, 55, 3, 22 ]
95
[ "54/3=18", "55+22=77", "18+77=95" ]
Current State: 95:[54, 55, 3, 22], Operations: [] Exploring Operation: 54/3=18, Resulting Numbers: [55, 22, 18] Generated Node #2: [55, 22, 18] from Operation: 54/3=18 Current State: 95:[55, 22, 18], Operations: ['54/3=18'] Exploring Operation: 55+22=77, Resulting Numbers: [18, 77] Generated Node #3: [18, 77] from Operation: 55+22=77 Current State: 95:[18, 77], Operations: ['54/3=18', '55+22=77'] Exploring Operation: 18+77=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 96, 27, 1, 5 ]
64
[ "96-27=69", "1*5=5", "69-5=64" ]
Current State: 64:[96, 27, 1, 5], Operations: [] Exploring Operation: 96-27=69, Resulting Numbers: [1, 5, 69] Generated Node #2: [1, 5, 69] from Operation: 96-27=69 Current State: 64:[1, 5, 69], Operations: ['96-27=69'] Exploring Operation: 1*5=5, Resulting Numbers: [69, 5] Generated Node #3: [69, 5] from Operation: 1*5=5 Current State: 64:[69, 5], Operations: ['96-27=69', '1*5=5'] Exploring Operation: 69-5=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 6, 43, 62, 81 ]
30
[ "6+43=49", "81-62=19", "49-19=30" ]
Current State: 30:[6, 43, 62, 81], Operations: [] Exploring Operation: 6+43=49, Resulting Numbers: [62, 81, 49] Generated Node #2: [62, 81, 49] from Operation: 6+43=49 Current State: 30:[62, 81, 49], Operations: ['6+43=49'] Exploring Operation: 81-62=19, Resulting Numbers: [49, 19] Generated Node #3: [49, 19] from Operation: 81-62=19 Current State: 30:[49, 19], Operations: ['6+43=49', '81-62=19'] Exploring Operation: 49-19=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 23, 4, 36, 6 ]
58
[ "36-23=13", "4*13=52", "6+52=58" ]
Current State: 58:[23, 4, 36, 6], Operations: [] Exploring Operation: 36-23=13, Resulting Numbers: [4, 6, 13] Generated Node #2: [4, 6, 13] from Operation: 36-23=13 Current State: 58:[4, 6, 13], Operations: ['36-23=13'] Exploring Operation: 4*13=52, Resulting Numbers: [6, 52] Generated Node #3: [6, 52] from Operation: 4*13=52 Current State: 58:[6, 52], Operations: ['36-23=13', '4*13=52'] Exploring Operation: 6+52=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 18, 48, 76, 78 ]
57
[ "78-76=2", "18/2=9", "48+9=57" ]
Current State: 57:[18, 48, 76, 78], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [18, 48, 2] Generated Node #2: [18, 48, 2] from Operation: 78-76=2 Current State: 57:[18, 48, 2], Operations: ['78-76=2'] Exploring Operation: 18/2=9, Resulting Numbers: [48, 9] Generated Node #3: [48, 9] from Operation: 18/2=9 Current State: 57:[48, 9], Operations: ['78-76=2', '18/2=9'] Exploring Operation: 48+9=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 62, 39, 46, 50 ]
94
[ "50-46=4", "39*4=156", "156-62=94" ]
Current State: 94:[62, 39, 46, 50], Operations: [] Exploring Operation: 50-46=4, Resulting Numbers: [62, 39, 4] Generated Node #2: [62, 39, 4] from Operation: 50-46=4 Current State: 94:[62, 39, 4], Operations: ['50-46=4'] Exploring Operation: 39*4=156, Resulting Numbers: [62, 156] Generated Node #3: [62, 156] from Operation: 39*4=156 Current State: 94:[62, 156], Operations: ['50-46=4', '39*4=156'] Exploring Operation: 156-62=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 75, 45, 66, 9 ]
81
[ "75*9=675", "675/45=15", "66+15=81" ]
Current State: 81:[75, 45, 66, 9], Operations: [] Exploring Operation: 75*9=675, Resulting Numbers: [45, 66, 675] Generated Node #2: [45, 66, 675] from Operation: 75*9=675 Current State: 81:[45, 66, 675], Operations: ['75*9=675'] Exploring Operation: 675/45=15, Resulting Numbers: [66, 15] Generated Node #3: [66, 15] from Operation: 675/45=15 Current State: 81:[66, 15], Operations: ['75*9=675', '675/45=15'] Exploring Operation: 66+15=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 36, 14, 84, 9 ]
94
[ "36/9=4", "14+84=98", "98-4=94" ]
Current State: 94:[36, 14, 84, 9], Operations: [] Exploring Operation: 36/9=4, Resulting Numbers: [14, 84, 4] Generated Node #2: [14, 84, 4] from Operation: 36/9=4 Current State: 94:[14, 84, 4], Operations: ['36/9=4'] Exploring Operation: 14+84=98, Resulting Numbers: [4, 98] Generated Node #3: [4, 98] from Operation: 14+84=98 Current State: 94:[4, 98], Operations: ['36/9=4', '14+84=98'] Exploring Operation: 98-4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 84, 43, 29, 80 ]
92
[ "84-43=41", "80-29=51", "41+51=92" ]
Current State: 92:[84, 43, 29, 80], Operations: [] Exploring Operation: 84-43=41, Resulting Numbers: [29, 80, 41] Generated Node #2: [29, 80, 41] from Operation: 84-43=41 Current State: 92:[29, 80, 41], Operations: ['84-43=41'] Exploring Operation: 80-29=51, Resulting Numbers: [41, 51] Generated Node #3: [41, 51] from Operation: 80-29=51 Current State: 92:[41, 51], Operations: ['84-43=41', '80-29=51'] Exploring Operation: 41+51=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 21, 63, 42, 72 ]
36
[ "21+63=84", "42*72=3024", "3024/84=36" ]
Current State: 36:[21, 63, 42, 72], Operations: [] Exploring Operation: 21+63=84, Resulting Numbers: [42, 72, 84] Generated Node #2: [42, 72, 84] from Operation: 21+63=84 Current State: 36:[42, 72, 84], Operations: ['21+63=84'] Exploring Operation: 42*72=3024, Resulting Numbers: [84, 3024] Generated Node #3: [84, 3024] from Operation: 42*72=3024 Current State: 36:[84, 3024], Operations: ['21+63=84', '42*72=3024'] Exploring Operation: 3024/84=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 28, 39, 75, 39 ]
28
[ "39-39=0", "75*0=0", "28+0=28" ]
Current State: 28:[28, 39, 75, 39], Operations: [] Exploring Operation: 39-39=0, Resulting Numbers: [28, 75, 0] Generated Node #2: [28, 75, 0] from Operation: 39-39=0 Current State: 28:[28, 75, 0], Operations: ['39-39=0'] Exploring Operation: 75*0=0, Resulting Numbers: [28, 0] Generated Node #3: [28, 0] from Operation: 75*0=0 Current State: 28:[28, 0], Operations: ['39-39=0', '75*0=0'] Exploring Operation: 28+0=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 61, 14, 33, 8 ]
84
[ "61-33=28", "14*8=112", "112-28=84" ]
Current State: 84:[61, 14, 33, 8], Operations: [] Exploring Operation: 61-33=28, Resulting Numbers: [14, 8, 28] Generated Node #2: [14, 8, 28] from Operation: 61-33=28 Current State: 84:[14, 8, 28], Operations: ['61-33=28'] Exploring Operation: 14*8=112, Resulting Numbers: [28, 112] Generated Node #3: [28, 112] from Operation: 14*8=112 Current State: 84:[28, 112], Operations: ['61-33=28', '14*8=112'] Exploring Operation: 112-28=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 15, 13, 46, 58 ]
64
[ "15*46=690", "13*58=754", "754-690=64" ]
Current State: 64:[15, 13, 46, 58], Operations: [] Exploring Operation: 15*46=690, Resulting Numbers: [13, 58, 690] Generated Node #2: [13, 58, 690] from Operation: 15*46=690 Current State: 64:[13, 58, 690], Operations: ['15*46=690'] Exploring Operation: 13*58=754, Resulting Numbers: [690, 754] Generated Node #3: [690, 754] from Operation: 13*58=754 Current State: 64:[690, 754], Operations: ['15*46=690', '13*58=754'] Exploring Operation: 754-690=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 20, 99, 4, 84 ]
24
[ "99*4=396", "84+396=480", "480/20=24" ]
Current State: 24:[20, 99, 4, 84], Operations: [] Exploring Operation: 99*4=396, Resulting Numbers: [20, 84, 396] Generated Node #2: [20, 84, 396] from Operation: 99*4=396 Current State: 24:[20, 84, 396], Operations: ['99*4=396'] Exploring Operation: 84+396=480, Resulting Numbers: [20, 480] Generated Node #3: [20, 480] from Operation: 84+396=480 Current State: 24:[20, 480], Operations: ['99*4=396', '84+396=480'] Exploring Operation: 480/20=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 79, 14, 22, 50 ]
98
[ "79-22=57", "57-50=7", "14*7=98" ]
Current State: 98:[79, 14, 22, 50], Operations: [] Exploring Operation: 79-22=57, Resulting Numbers: [14, 50, 57] Generated Node #2: [14, 50, 57] from Operation: 79-22=57 Current State: 98:[14, 50, 57], Operations: ['79-22=57'] Exploring Operation: 57-50=7, Resulting Numbers: [14, 7] Generated Node #3: [14, 7] from Operation: 57-50=7 Current State: 98:[14, 7], Operations: ['79-22=57', '57-50=7'] Exploring Operation: 14*7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 16, 25, 58, 54 ]
18
[ "54-25=29", "58/29=2", "16+2=18" ]
Current State: 18:[16, 25, 58, 54], Operations: [] Exploring Operation: 54-25=29, Resulting Numbers: [16, 58, 29] Generated Node #2: [16, 58, 29] from Operation: 54-25=29 Current State: 18:[16, 58, 29], Operations: ['54-25=29'] Exploring Operation: 58/29=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 58/29=2 Current State: 18:[16, 2], Operations: ['54-25=29', '58/29=2'] Exploring Operation: 16+2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 2, 70, 14, 44 ]
73
[ "44-2=42", "42/14=3", "70+3=73" ]
Current State: 73:[2, 70, 14, 44], Operations: [] Exploring Operation: 44-2=42, Resulting Numbers: [70, 14, 42] Generated Node #2: [70, 14, 42] from Operation: 44-2=42 Current State: 73:[70, 14, 42], Operations: ['44-2=42'] Exploring Operation: 42/14=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 42/14=3 Current State: 73:[70, 3], Operations: ['44-2=42', '42/14=3'] Exploring Operation: 70+3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 87, 9, 10, 27 ]
81
[ "87*9=783", "27+783=810", "810/10=81" ]
Current State: 81:[87, 9, 10, 27], Operations: [] Exploring Operation: 87*9=783, Resulting Numbers: [10, 27, 783] Generated Node #2: [10, 27, 783] from Operation: 87*9=783 Current State: 81:[10, 27, 783], Operations: ['87*9=783'] Exploring Operation: 27+783=810, Resulting Numbers: [10, 810] Generated Node #3: [10, 810] from Operation: 27+783=810 Current State: 81:[10, 810], Operations: ['87*9=783', '27+783=810'] Exploring Operation: 810/10=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 2, 80, 43, 18 ]
28
[ "18/2=9", "80-43=37", "37-9=28" ]
Current State: 28:[2, 80, 43, 18], Operations: [] Exploring Operation: 18/2=9, Resulting Numbers: [80, 43, 9] Generated Node #2: [80, 43, 9] from Operation: 18/2=9 Current State: 28:[80, 43, 9], Operations: ['18/2=9'] Exploring Operation: 80-43=37, Resulting Numbers: [9, 37] Generated Node #3: [9, 37] from Operation: 80-43=37 Current State: 28:[9, 37], Operations: ['18/2=9', '80-43=37'] Exploring Operation: 37-9=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 42, 47, 95, 60 ]
31
[ "47-42=5", "95+60=155", "155/5=31" ]
Current State: 31:[42, 47, 95, 60], Operations: [] Exploring Operation: 47-42=5, Resulting Numbers: [95, 60, 5] Generated Node #2: [95, 60, 5] from Operation: 47-42=5 Current State: 31:[95, 60, 5], Operations: ['47-42=5'] Exploring Operation: 95+60=155, Resulting Numbers: [5, 155] Generated Node #3: [5, 155] from Operation: 95+60=155 Current State: 31:[5, 155], Operations: ['47-42=5', '95+60=155'] Exploring Operation: 155/5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 40, 60, 2, 8 ]
74
[ "60+8=68", "68/2=34", "40+34=74" ]
Current State: 74:[40, 60, 2, 8], Operations: [] Exploring Operation: 60+8=68, Resulting Numbers: [40, 2, 68] Generated Node #2: [40, 2, 68] from Operation: 60+8=68 Current State: 74:[40, 2, 68], Operations: ['60+8=68'] Exploring Operation: 68/2=34, Resulting Numbers: [40, 34] Generated Node #3: [40, 34] from Operation: 68/2=34 Current State: 74:[40, 34], Operations: ['60+8=68', '68/2=34'] Exploring Operation: 40+34=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 46, 78, 66, 60 ]
59
[ "66-60=6", "78/6=13", "46+13=59" ]
Current State: 59:[46, 78, 66, 60], Operations: [] Exploring Operation: 66-60=6, Resulting Numbers: [46, 78, 6] Generated Node #2: [46, 78, 6] from Operation: 66-60=6 Current State: 59:[46, 78, 6], Operations: ['66-60=6'] Exploring Operation: 78/6=13, Resulting Numbers: [46, 13] Generated Node #3: [46, 13] from Operation: 78/6=13 Current State: 59:[46, 13], Operations: ['66-60=6', '78/6=13'] Exploring Operation: 46+13=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 28, 2, 86, 98 ]
83
[ "28+98=126", "86/2=43", "126-43=83" ]
Current State: 83:[28, 2, 86, 98], Operations: [] Exploring Operation: 28+98=126, Resulting Numbers: [2, 86, 126] Generated Node #2: [2, 86, 126] from Operation: 28+98=126 Current State: 83:[2, 86, 126], Operations: ['28+98=126'] Exploring Operation: 86/2=43, Resulting Numbers: [126, 43] Generated Node #3: [126, 43] from Operation: 86/2=43 Current State: 83:[126, 43], Operations: ['28+98=126', '86/2=43'] Exploring Operation: 126-43=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 26, 73, 13, 20 ]
80
[ "73-26=47", "13+20=33", "47+33=80" ]
Current State: 80:[26, 73, 13, 20], Operations: [] Exploring Operation: 73-26=47, Resulting Numbers: [13, 20, 47] Generated Node #2: [13, 20, 47] from Operation: 73-26=47 Current State: 80:[13, 20, 47], Operations: ['73-26=47'] Exploring Operation: 13+20=33, Resulting Numbers: [47, 33] Generated Node #3: [47, 33] from Operation: 13+20=33 Current State: 80:[47, 33], Operations: ['73-26=47', '13+20=33'] Exploring Operation: 47+33=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 70, 18, 34, 34 ]
88
[ "70+18=88", "34-34=0", "88+0=88" ]
Current State: 88:[70, 18, 34, 34], Operations: [] Exploring Operation: 70+18=88, Resulting Numbers: [34, 34, 88] Generated Node #2: [34, 34, 88] from Operation: 70+18=88 Current State: 88:[34, 34, 88], Operations: ['70+18=88'] Exploring Operation: 34-34=0, Resulting Numbers: [88, 0] Generated Node #3: [88, 0] from Operation: 34-34=0 Current State: 88:[88, 0], Operations: ['70+18=88', '34-34=0'] Exploring Operation: 88+0=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 21, 35, 3, 17 ]
81
[ "21*3=63", "35-17=18", "63+18=81" ]
Current State: 81:[21, 35, 3, 17], Operations: [] Exploring Operation: 21*3=63, Resulting Numbers: [35, 17, 63] Generated Node #2: [35, 17, 63] from Operation: 21*3=63 Current State: 81:[35, 17, 63], Operations: ['21*3=63'] Exploring Operation: 35-17=18, Resulting Numbers: [63, 18] Generated Node #3: [63, 18] from Operation: 35-17=18 Current State: 81:[63, 18], Operations: ['21*3=63', '35-17=18'] Exploring Operation: 63+18=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 6, 74, 50, 85 ]
40
[ "74-6=68", "50*68=3400", "3400/85=40" ]
Current State: 40:[6, 74, 50, 85], Operations: [] Exploring Operation: 74-6=68, Resulting Numbers: [50, 85, 68] Generated Node #2: [50, 85, 68] from Operation: 74-6=68 Current State: 40:[50, 85, 68], Operations: ['74-6=68'] Exploring Operation: 50*68=3400, Resulting Numbers: [85, 3400] Generated Node #3: [85, 3400] from Operation: 50*68=3400 Current State: 40:[85, 3400], Operations: ['74-6=68', '50*68=3400'] Exploring Operation: 3400/85=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 92, 87, 55, 34 ]
94
[ "92-87=5", "55+34=89", "5+89=94" ]
Current State: 94:[92, 87, 55, 34], Operations: [] Exploring Operation: 92-87=5, Resulting Numbers: [55, 34, 5] Generated Node #2: [55, 34, 5] from Operation: 92-87=5 Current State: 94:[55, 34, 5], Operations: ['92-87=5'] Exploring Operation: 55+34=89, Resulting Numbers: [5, 89] Generated Node #3: [5, 89] from Operation: 55+34=89 Current State: 94:[5, 89], Operations: ['92-87=5', '55+34=89'] Exploring Operation: 5+89=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 18, 31, 62, 63 ]
99
[ "18*62=1116", "1116/31=36", "63+36=99" ]
Current State: 99:[18, 31, 62, 63], Operations: [] Exploring Operation: 18*62=1116, Resulting Numbers: [31, 63, 1116] Generated Node #2: [31, 63, 1116] from Operation: 18*62=1116 Current State: 99:[31, 63, 1116], Operations: ['18*62=1116'] Exploring Operation: 1116/31=36, Resulting Numbers: [63, 36] Generated Node #3: [63, 36] from Operation: 1116/31=36 Current State: 99:[63, 36], Operations: ['18*62=1116', '1116/31=36'] Exploring Operation: 63+36=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 22, 57, 78, 88 ]
25
[ "57-22=35", "88-78=10", "35-10=25" ]
Current State: 25:[22, 57, 78, 88], Operations: [] Exploring Operation: 57-22=35, Resulting Numbers: [78, 88, 35] Generated Node #2: [78, 88, 35] from Operation: 57-22=35 Current State: 25:[78, 88, 35], Operations: ['57-22=35'] Exploring Operation: 88-78=10, Resulting Numbers: [35, 10] Generated Node #3: [35, 10] from Operation: 88-78=10 Current State: 25:[35, 10], Operations: ['57-22=35', '88-78=10'] Exploring Operation: 35-10=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 36, 34, 8, 73 ]
77
[ "36-34=2", "8/2=4", "73+4=77" ]
Current State: 77:[36, 34, 8, 73], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [8, 73, 2] Generated Node #2: [8, 73, 2] from Operation: 36-34=2 Current State: 77:[8, 73, 2], Operations: ['36-34=2'] Exploring Operation: 8/2=4, Resulting Numbers: [73, 4] Generated Node #3: [73, 4] from Operation: 8/2=4 Current State: 77:[73, 4], Operations: ['36-34=2', '8/2=4'] Exploring Operation: 73+4=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 86, 58, 18, 31 ]
15
[ "86-58=28", "31-18=13", "28-13=15" ]
Current State: 15:[86, 58, 18, 31], Operations: [] Exploring Operation: 86-58=28, Resulting Numbers: [18, 31, 28] Generated Node #2: [18, 31, 28] from Operation: 86-58=28 Current State: 15:[18, 31, 28], Operations: ['86-58=28'] Exploring Operation: 31-18=13, Resulting Numbers: [28, 13] Generated Node #3: [28, 13] from Operation: 31-18=13 Current State: 15:[28, 13], Operations: ['86-58=28', '31-18=13'] Exploring Operation: 28-13=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 7, 88, 5, 58 ]
73
[ "7-5=2", "88+58=146", "146/2=73" ]
Current State: 73:[7, 88, 5, 58], Operations: [] Exploring Operation: 7-5=2, Resulting Numbers: [88, 58, 2] Generated Node #2: [88, 58, 2] from Operation: 7-5=2 Current State: 73:[88, 58, 2], Operations: ['7-5=2'] Exploring Operation: 88+58=146, Resulting Numbers: [2, 146] Generated Node #3: [2, 146] from Operation: 88+58=146 Current State: 73:[2, 146], Operations: ['7-5=2', '88+58=146'] Exploring Operation: 146/2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 91, 27, 30, 37 ]
14
[ "37-30=7", "91/7=13", "27-13=14" ]
Current State: 14:[91, 27, 30, 37], Operations: [] Exploring Operation: 37-30=7, Resulting Numbers: [91, 27, 7] Generated Node #2: [91, 27, 7] from Operation: 37-30=7 Current State: 14:[91, 27, 7], Operations: ['37-30=7'] Exploring Operation: 91/7=13, Resulting Numbers: [27, 13] Generated Node #3: [27, 13] from Operation: 91/7=13 Current State: 14:[27, 13], Operations: ['37-30=7', '91/7=13'] Exploring Operation: 27-13=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 41, 85, 57, 29 ]
43
[ "85+29=114", "114/57=2", "41+2=43" ]
Current State: 43:[41, 85, 57, 29], Operations: [] Exploring Operation: 85+29=114, Resulting Numbers: [41, 57, 114] Generated Node #2: [41, 57, 114] from Operation: 85+29=114 Current State: 43:[41, 57, 114], Operations: ['85+29=114'] Exploring Operation: 114/57=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 114/57=2 Current State: 43:[41, 2], Operations: ['85+29=114', '114/57=2'] Exploring Operation: 41+2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 6, 46, 66, 14 ]
40
[ "46-6=40", "66+14=80", "80-40=40" ]
Current State: 40:[6, 46, 66, 14], Operations: [] Exploring Operation: 46-6=40, Resulting Numbers: [66, 14, 40] Generated Node #2: [66, 14, 40] from Operation: 46-6=40 Current State: 40:[66, 14, 40], Operations: ['46-6=40'] Exploring Operation: 66+14=80, Resulting Numbers: [40, 80] Generated Node #3: [40, 80] from Operation: 66+14=80 Current State: 40:[40, 80], Operations: ['46-6=40', '66+14=80'] Exploring Operation: 80-40=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 43, 63, 45, 34 ]
81
[ "43*63=2709", "45+2709=2754", "2754/34=81" ]
Current State: 81:[43, 63, 45, 34], Operations: [] Exploring Operation: 43*63=2709, Resulting Numbers: [45, 34, 2709] Generated Node #2: [45, 34, 2709] from Operation: 43*63=2709 Current State: 81:[45, 34, 2709], Operations: ['43*63=2709'] Exploring Operation: 45+2709=2754, Resulting Numbers: [34, 2754] Generated Node #3: [34, 2754] from Operation: 45+2709=2754 Current State: 81:[34, 2754], Operations: ['43*63=2709', '45+2709=2754'] Exploring Operation: 2754/34=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 13, 28, 93, 98 ]
93
[ "93-28=65", "65/13=5", "98-5=93" ]
Current State: 93:[13, 28, 93, 98], Operations: [] Exploring Operation: 93-28=65, Resulting Numbers: [13, 98, 65] Generated Node #2: [13, 98, 65] from Operation: 93-28=65 Current State: 93:[13, 98, 65], Operations: ['93-28=65'] Exploring Operation: 65/13=5, Resulting Numbers: [98, 5] Generated Node #3: [98, 5] from Operation: 65/13=5 Current State: 93:[98, 5], Operations: ['93-28=65', '65/13=5'] Exploring Operation: 98-5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 34, 68, 6, 90 ]
13
[ "68/34=2", "90/6=15", "15-2=13" ]
Current State: 13:[34, 68, 6, 90], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [6, 90, 2] Generated Node #2: [6, 90, 2] from Operation: 68/34=2 Current State: 13:[6, 90, 2], Operations: ['68/34=2'] Exploring Operation: 90/6=15, Resulting Numbers: [2, 15] Generated Node #3: [2, 15] from Operation: 90/6=15 Current State: 13:[2, 15], Operations: ['68/34=2', '90/6=15'] Exploring Operation: 15-2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 24, 40, 80, 11 ]
70
[ "24+11=35", "80/40=2", "35*2=70" ]
Current State: 70:[24, 40, 80, 11], Operations: [] Exploring Operation: 24+11=35, Resulting Numbers: [40, 80, 35] Generated Node #2: [40, 80, 35] from Operation: 24+11=35 Current State: 70:[40, 80, 35], Operations: ['24+11=35'] Exploring Operation: 80/40=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 80/40=2 Current State: 70:[35, 2], Operations: ['24+11=35', '80/40=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 35, 37, 16, 68 ]
42
[ "37-35=2", "16+68=84", "84/2=42" ]
Current State: 42:[35, 37, 16, 68], Operations: [] Exploring Operation: 37-35=2, Resulting Numbers: [16, 68, 2] Generated Node #2: [16, 68, 2] from Operation: 37-35=2 Current State: 42:[16, 68, 2], Operations: ['37-35=2'] Exploring Operation: 16+68=84, Resulting Numbers: [2, 84] Generated Node #3: [2, 84] from Operation: 16+68=84 Current State: 42:[2, 84], Operations: ['37-35=2', '16+68=84'] Exploring Operation: 84/2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 62, 30, 34, 24 ]
35
[ "62-34=28", "30*28=840", "840/24=35" ]
Current State: 35:[62, 30, 34, 24], Operations: [] Exploring Operation: 62-34=28, Resulting Numbers: [30, 24, 28] Generated Node #2: [30, 24, 28] from Operation: 62-34=28 Current State: 35:[30, 24, 28], Operations: ['62-34=28'] Exploring Operation: 30*28=840, Resulting Numbers: [24, 840] Generated Node #3: [24, 840] from Operation: 30*28=840 Current State: 35:[24, 840], Operations: ['62-34=28', '30*28=840'] Exploring Operation: 840/24=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 21, 20, 2, 77 ]
88
[ "21+77=98", "20/2=10", "98-10=88" ]
Current State: 88:[21, 20, 2, 77], Operations: [] Exploring Operation: 21+77=98, Resulting Numbers: [20, 2, 98] Generated Node #2: [20, 2, 98] from Operation: 21+77=98 Current State: 88:[20, 2, 98], Operations: ['21+77=98'] Exploring Operation: 20/2=10, Resulting Numbers: [98, 10] Generated Node #3: [98, 10] from Operation: 20/2=10 Current State: 88:[98, 10], Operations: ['21+77=98', '20/2=10'] Exploring Operation: 98-10=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 44, 72, 65, 69 ]
32
[ "72-44=28", "69-65=4", "28+4=32" ]
Current State: 32:[44, 72, 65, 69], Operations: [] Exploring Operation: 72-44=28, Resulting Numbers: [65, 69, 28] Generated Node #2: [65, 69, 28] from Operation: 72-44=28 Current State: 32:[65, 69, 28], Operations: ['72-44=28'] Exploring Operation: 69-65=4, Resulting Numbers: [28, 4] Generated Node #3: [28, 4] from Operation: 69-65=4 Current State: 32:[28, 4], Operations: ['72-44=28', '69-65=4'] Exploring Operation: 28+4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 58, 29, 90, 93 ]
32
[ "58-29=29", "93-90=3", "29+3=32" ]
Current State: 32:[58, 29, 90, 93], Operations: [] Exploring Operation: 58-29=29, Resulting Numbers: [90, 93, 29] Generated Node #2: [90, 93, 29] from Operation: 58-29=29 Current State: 32:[90, 93, 29], Operations: ['58-29=29'] Exploring Operation: 93-90=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 93-90=3 Current State: 32:[29, 3], Operations: ['58-29=29', '93-90=3'] Exploring Operation: 29+3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 1, 16, 10, 5 ]
29
[ "10-1=9", "5*9=45", "45-16=29" ]
Current State: 29:[1, 16, 10, 5], Operations: [] Exploring Operation: 10-1=9, Resulting Numbers: [16, 5, 9] Generated Node #2: [16, 5, 9] from Operation: 10-1=9 Current State: 29:[16, 5, 9], Operations: ['10-1=9'] Exploring Operation: 5*9=45, Resulting Numbers: [16, 45] Generated Node #3: [16, 45] from Operation: 5*9=45 Current State: 29:[16, 45], Operations: ['10-1=9', '5*9=45'] Exploring Operation: 45-16=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 78, 2, 13, 69 ]
67
[ "78-13=65", "69+65=134", "134/2=67" ]
Current State: 67:[78, 2, 13, 69], Operations: [] Exploring Operation: 78-13=65, Resulting Numbers: [2, 69, 65] Generated Node #2: [2, 69, 65] from Operation: 78-13=65 Current State: 67:[2, 69, 65], Operations: ['78-13=65'] Exploring Operation: 69+65=134, Resulting Numbers: [2, 134] Generated Node #3: [2, 134] from Operation: 69+65=134 Current State: 67:[2, 134], Operations: ['78-13=65', '69+65=134'] Exploring Operation: 134/2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 27, 54, 1, 89 ]
86
[ "54/27=2", "89-1=88", "88-2=86" ]
Current State: 86:[27, 54, 1, 89], Operations: [] Exploring Operation: 54/27=2, Resulting Numbers: [1, 89, 2] Generated Node #2: [1, 89, 2] from Operation: 54/27=2 Current State: 86:[1, 89, 2], Operations: ['54/27=2'] Exploring Operation: 89-1=88, Resulting Numbers: [2, 88] Generated Node #3: [2, 88] from Operation: 89-1=88 Current State: 86:[2, 88], Operations: ['54/27=2', '89-1=88'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 68, 48, 8, 46 ]
18
[ "68-48=20", "46-8=38", "38-20=18" ]
Current State: 18:[68, 48, 8, 46], Operations: [] Exploring Operation: 68-48=20, Resulting Numbers: [8, 46, 20] Generated Node #2: [8, 46, 20] from Operation: 68-48=20 Current State: 18:[8, 46, 20], Operations: ['68-48=20'] Exploring Operation: 46-8=38, Resulting Numbers: [20, 38] Generated Node #3: [20, 38] from Operation: 46-8=38 Current State: 18:[20, 38], Operations: ['68-48=20', '46-8=38'] Exploring Operation: 38-20=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 78, 55, 14, 42 ]
33
[ "78-55=23", "14+42=56", "56-23=33" ]
Current State: 33:[78, 55, 14, 42], Operations: [] Exploring Operation: 78-55=23, Resulting Numbers: [14, 42, 23] Generated Node #2: [14, 42, 23] from Operation: 78-55=23 Current State: 33:[14, 42, 23], Operations: ['78-55=23'] Exploring Operation: 14+42=56, Resulting Numbers: [23, 56] Generated Node #3: [23, 56] from Operation: 14+42=56 Current State: 33:[23, 56], Operations: ['78-55=23', '14+42=56'] Exploring Operation: 56-23=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 17, 23, 26, 3 ]
72
[ "23-17=6", "26*3=78", "78-6=72" ]
Current State: 72:[17, 23, 26, 3], Operations: [] Exploring Operation: 23-17=6, Resulting Numbers: [26, 3, 6] Generated Node #2: [26, 3, 6] from Operation: 23-17=6 Current State: 72:[26, 3, 6], Operations: ['23-17=6'] Exploring Operation: 26*3=78, Resulting Numbers: [6, 78] Generated Node #3: [6, 78] from Operation: 26*3=78 Current State: 72:[6, 78], Operations: ['23-17=6', '26*3=78'] Exploring Operation: 78-6=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 98, 28, 22, 16 ]
93
[ "98*22=2156", "2156/28=77", "16+77=93" ]
Current State: 93:[98, 28, 22, 16], Operations: [] Exploring Operation: 98*22=2156, Resulting Numbers: [28, 16, 2156] Generated Node #2: [28, 16, 2156] from Operation: 98*22=2156 Current State: 93:[28, 16, 2156], Operations: ['98*22=2156'] Exploring Operation: 2156/28=77, Resulting Numbers: [16, 77] Generated Node #3: [16, 77] from Operation: 2156/28=77 Current State: 93:[16, 77], Operations: ['98*22=2156', '2156/28=77'] Exploring Operation: 16+77=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 77, 27, 29, 2 ]
76
[ "29-27=2", "2/2=1", "77-1=76" ]
Current State: 76:[77, 27, 29, 2], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [77, 2, 2] Generated Node #2: [77, 2, 2] from Operation: 29-27=2 Current State: 76:[77, 2, 2], Operations: ['29-27=2'] Exploring Operation: 2/2=1, Resulting Numbers: [77, 1] Generated Node #3: [77, 1] from Operation: 2/2=1 Current State: 76:[77, 1], Operations: ['29-27=2', '2/2=1'] Exploring Operation: 77-1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 64, 72, 58, 98 ]
86
[ "64-58=6", "72/6=12", "98-12=86" ]
Current State: 86:[64, 72, 58, 98], Operations: [] Exploring Operation: 64-58=6, Resulting Numbers: [72, 98, 6] Generated Node #2: [72, 98, 6] from Operation: 64-58=6 Current State: 86:[72, 98, 6], Operations: ['64-58=6'] Exploring Operation: 72/6=12, Resulting Numbers: [98, 12] Generated Node #3: [98, 12] from Operation: 72/6=12 Current State: 86:[98, 12], Operations: ['64-58=6', '72/6=12'] Exploring Operation: 98-12=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 39, 59, 27, 50 ]
42
[ "59-50=9", "27/9=3", "39+3=42" ]
Current State: 42:[39, 59, 27, 50], Operations: [] Exploring Operation: 59-50=9, Resulting Numbers: [39, 27, 9] Generated Node #2: [39, 27, 9] from Operation: 59-50=9 Current State: 42:[39, 27, 9], Operations: ['59-50=9'] Exploring Operation: 27/9=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 27/9=3 Current State: 42:[39, 3], Operations: ['59-50=9', '27/9=3'] Exploring Operation: 39+3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 96, 48, 26, 24 ]
20
[ "96+48=144", "144/24=6", "26-6=20" ]
Current State: 20:[96, 48, 26, 24], Operations: [] Exploring Operation: 96+48=144, Resulting Numbers: [26, 24, 144] Generated Node #2: [26, 24, 144] from Operation: 96+48=144 Current State: 20:[26, 24, 144], Operations: ['96+48=144'] Exploring Operation: 144/24=6, Resulting Numbers: [26, 6] Generated Node #3: [26, 6] from Operation: 144/24=6 Current State: 20:[26, 6], Operations: ['96+48=144', '144/24=6'] Exploring Operation: 26-6=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 40, 34, 80, 65 ]
97
[ "80/40=2", "34+65=99", "99-2=97" ]
Current State: 97:[40, 34, 80, 65], Operations: [] Exploring Operation: 80/40=2, Resulting Numbers: [34, 65, 2] Generated Node #2: [34, 65, 2] from Operation: 80/40=2 Current State: 97:[34, 65, 2], Operations: ['80/40=2'] Exploring Operation: 34+65=99, Resulting Numbers: [2, 99] Generated Node #3: [2, 99] from Operation: 34+65=99 Current State: 97:[2, 99], Operations: ['80/40=2', '34+65=99'] Exploring Operation: 99-2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 93, 15, 31, 77 ]
82
[ "93/31=3", "15/3=5", "77+5=82" ]
Current State: 82:[93, 15, 31, 77], Operations: [] Exploring Operation: 93/31=3, Resulting Numbers: [15, 77, 3] Generated Node #2: [15, 77, 3] from Operation: 93/31=3 Current State: 82:[15, 77, 3], Operations: ['93/31=3'] Exploring Operation: 15/3=5, Resulting Numbers: [77, 5] Generated Node #3: [77, 5] from Operation: 15/3=5 Current State: 82:[77, 5], Operations: ['93/31=3', '15/3=5'] Exploring Operation: 77+5=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 3, 11, 17, 45 ]
52
[ "3*45=135", "11*17=187", "187-135=52" ]
Current State: 52:[3, 11, 17, 45], Operations: [] Exploring Operation: 3*45=135, Resulting Numbers: [11, 17, 135] Generated Node #2: [11, 17, 135] from Operation: 3*45=135 Current State: 52:[11, 17, 135], Operations: ['3*45=135'] Exploring Operation: 11*17=187, Resulting Numbers: [135, 187] Generated Node #3: [135, 187] from Operation: 11*17=187 Current State: 52:[135, 187], Operations: ['3*45=135', '11*17=187'] Exploring Operation: 187-135=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 57, 15, 99, 5 ]
22
[ "57+15=72", "99-5=94", "94-72=22" ]
Current State: 22:[57, 15, 99, 5], Operations: [] Exploring Operation: 57+15=72, Resulting Numbers: [99, 5, 72] Generated Node #2: [99, 5, 72] from Operation: 57+15=72 Current State: 22:[99, 5, 72], Operations: ['57+15=72'] Exploring Operation: 99-5=94, Resulting Numbers: [72, 94] Generated Node #3: [72, 94] from Operation: 99-5=94 Current State: 22:[72, 94], Operations: ['57+15=72', '99-5=94'] Exploring Operation: 94-72=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 54, 86, 71, 85 ]
16
[ "54+86=140", "71+85=156", "156-140=16" ]
Current State: 16:[54, 86, 71, 85], Operations: [] Exploring Operation: 54+86=140, Resulting Numbers: [71, 85, 140] Generated Node #2: [71, 85, 140] from Operation: 54+86=140 Current State: 16:[71, 85, 140], Operations: ['54+86=140'] Exploring Operation: 71+85=156, Resulting Numbers: [140, 156] Generated Node #3: [140, 156] from Operation: 71+85=156 Current State: 16:[140, 156], Operations: ['54+86=140', '71+85=156'] Exploring Operation: 156-140=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 9, 97, 94, 6 ]
36
[ "97-9=88", "94-88=6", "6*6=36" ]
Current State: 36:[9, 97, 94, 6], Operations: [] Exploring Operation: 97-9=88, Resulting Numbers: [94, 6, 88] Generated Node #2: [94, 6, 88] from Operation: 97-9=88 Current State: 36:[94, 6, 88], Operations: ['97-9=88'] Exploring Operation: 94-88=6, Resulting Numbers: [6, 6] Generated Node #3: [6, 6] from Operation: 94-88=6 Current State: 36:[6, 6], Operations: ['97-9=88', '94-88=6'] Exploring Operation: 6*6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 28, 35, 98, 77 ]
67
[ "28*35=980", "980/98=10", "77-10=67" ]
Current State: 67:[28, 35, 98, 77], Operations: [] Exploring Operation: 28*35=980, Resulting Numbers: [98, 77, 980] Generated Node #2: [98, 77, 980] from Operation: 28*35=980 Current State: 67:[98, 77, 980], Operations: ['28*35=980'] Exploring Operation: 980/98=10, Resulting Numbers: [77, 10] Generated Node #3: [77, 10] from Operation: 980/98=10 Current State: 67:[77, 10], Operations: ['28*35=980', '980/98=10'] Exploring Operation: 77-10=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 8, 24, 7, 88 ]
15
[ "88-24=64", "64/8=8", "7+8=15" ]
Current State: 15:[8, 24, 7, 88], Operations: [] Exploring Operation: 88-24=64, Resulting Numbers: [8, 7, 64] Generated Node #2: [8, 7, 64] from Operation: 88-24=64 Current State: 15:[8, 7, 64], Operations: ['88-24=64'] Exploring Operation: 64/8=8, Resulting Numbers: [7, 8] Generated Node #3: [7, 8] from Operation: 64/8=8 Current State: 15:[7, 8], Operations: ['88-24=64', '64/8=8'] Exploring Operation: 7+8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 41, 25, 92, 33 ]
59
[ "41+25=66", "92+33=125", "125-66=59" ]
Current State: 59:[41, 25, 92, 33], Operations: [] Exploring Operation: 41+25=66, Resulting Numbers: [92, 33, 66] Generated Node #2: [92, 33, 66] from Operation: 41+25=66 Current State: 59:[92, 33, 66], Operations: ['41+25=66'] Exploring Operation: 92+33=125, Resulting Numbers: [66, 125] Generated Node #3: [66, 125] from Operation: 92+33=125 Current State: 59:[66, 125], Operations: ['41+25=66', '92+33=125'] Exploring Operation: 125-66=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 73, 41, 35, 28 ]
31
[ "73-41=32", "35+28=63", "63-32=31" ]
Current State: 31:[73, 41, 35, 28], Operations: [] Exploring Operation: 73-41=32, Resulting Numbers: [35, 28, 32] Generated Node #2: [35, 28, 32] from Operation: 73-41=32 Current State: 31:[35, 28, 32], Operations: ['73-41=32'] Exploring Operation: 35+28=63, Resulting Numbers: [32, 63] Generated Node #3: [32, 63] from Operation: 35+28=63 Current State: 31:[32, 63], Operations: ['73-41=32', '35+28=63'] Exploring Operation: 63-32=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 8, 9, 10, 89 ]
62
[ "8+9=17", "89-10=79", "79-17=62" ]
Current State: 62:[8, 9, 10, 89], Operations: [] Exploring Operation: 8+9=17, Resulting Numbers: [10, 89, 17] Generated Node #2: [10, 89, 17] from Operation: 8+9=17 Current State: 62:[10, 89, 17], Operations: ['8+9=17'] Exploring Operation: 89-10=79, Resulting Numbers: [17, 79] Generated Node #3: [17, 79] from Operation: 89-10=79 Current State: 62:[17, 79], Operations: ['8+9=17', '89-10=79'] Exploring Operation: 79-17=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 75, 75, 57, 77 ]
20
[ "75-75=0", "77-57=20", "0+20=20" ]
Current State: 20:[75, 75, 57, 77], Operations: [] Exploring Operation: 75-75=0, Resulting Numbers: [57, 77, 0] Generated Node #2: [57, 77, 0] from Operation: 75-75=0 Current State: 20:[57, 77, 0], Operations: ['75-75=0'] Exploring Operation: 77-57=20, Resulting Numbers: [0, 20] Generated Node #3: [0, 20] from Operation: 77-57=20 Current State: 20:[0, 20], Operations: ['75-75=0', '77-57=20'] Exploring Operation: 0+20=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 32, 82, 18, 63 ]
32
[ "82-18=64", "64-63=1", "32*1=32" ]
Current State: 32:[32, 82, 18, 63], Operations: [] Exploring Operation: 82-18=64, Resulting Numbers: [32, 63, 64] Generated Node #2: [32, 63, 64] from Operation: 82-18=64 Current State: 32:[32, 63, 64], Operations: ['82-18=64'] Exploring Operation: 64-63=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 64-63=1 Current State: 32:[32, 1], Operations: ['82-18=64', '64-63=1'] Exploring Operation: 32*1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 10, 95, 23, 21 ]
90
[ "23-21=2", "10/2=5", "95-5=90" ]
Current State: 90:[10, 95, 23, 21], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [10, 95, 2] Generated Node #2: [10, 95, 2] from Operation: 23-21=2 Current State: 90:[10, 95, 2], Operations: ['23-21=2'] Exploring Operation: 10/2=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 10/2=5 Current State: 90:[95, 5], Operations: ['23-21=2', '10/2=5'] Exploring Operation: 95-5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 84, 98, 35, 82 ]
14
[ "84-82=2", "98/2=49", "49-35=14" ]
Current State: 14:[84, 98, 35, 82], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [98, 35, 2] Generated Node #2: [98, 35, 2] from Operation: 84-82=2 Current State: 14:[98, 35, 2], Operations: ['84-82=2'] Exploring Operation: 98/2=49, Resulting Numbers: [35, 49] Generated Node #3: [35, 49] from Operation: 98/2=49 Current State: 14:[35, 49], Operations: ['84-82=2', '98/2=49'] Exploring Operation: 49-35=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 52, 33, 81, 92 ]
49
[ "92-81=11", "33/11=3", "52-3=49" ]
Current State: 49:[52, 33, 81, 92], Operations: [] Exploring Operation: 92-81=11, Resulting Numbers: [52, 33, 11] Generated Node #2: [52, 33, 11] from Operation: 92-81=11 Current State: 49:[52, 33, 11], Operations: ['92-81=11'] Exploring Operation: 33/11=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 33/11=3 Current State: 49:[52, 3], Operations: ['92-81=11', '33/11=3'] Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 37, 39, 26, 79 ]
92
[ "39-37=2", "26/2=13", "79+13=92" ]
Current State: 92:[37, 39, 26, 79], Operations: [] Exploring Operation: 39-37=2, Resulting Numbers: [26, 79, 2] Generated Node #2: [26, 79, 2] from Operation: 39-37=2 Current State: 92:[26, 79, 2], Operations: ['39-37=2'] Exploring Operation: 26/2=13, Resulting Numbers: [79, 13] Generated Node #3: [79, 13] from Operation: 26/2=13 Current State: 92:[79, 13], Operations: ['39-37=2', '26/2=13'] Exploring Operation: 79+13=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 84, 41, 21, 34 ]
12
[ "84-41=43", "21+34=55", "55-43=12" ]
Current State: 12:[84, 41, 21, 34], Operations: [] Exploring Operation: 84-41=43, Resulting Numbers: [21, 34, 43] Generated Node #2: [21, 34, 43] from Operation: 84-41=43 Current State: 12:[21, 34, 43], Operations: ['84-41=43'] Exploring Operation: 21+34=55, Resulting Numbers: [43, 55] Generated Node #3: [43, 55] from Operation: 21+34=55 Current State: 12:[43, 55], Operations: ['84-41=43', '21+34=55'] Exploring Operation: 55-43=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 86, 4, 39, 1 ]
96
[ "39+1=40", "40/4=10", "86+10=96" ]
Current State: 96:[86, 4, 39, 1], Operations: [] Exploring Operation: 39+1=40, Resulting Numbers: [86, 4, 40] Generated Node #2: [86, 4, 40] from Operation: 39+1=40 Current State: 96:[86, 4, 40], Operations: ['39+1=40'] Exploring Operation: 40/4=10, Resulting Numbers: [86, 10] Generated Node #3: [86, 10] from Operation: 40/4=10 Current State: 96:[86, 10], Operations: ['39+1=40', '40/4=10'] Exploring Operation: 86+10=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 35, 94, 63, 36 ]
31
[ "36-35=1", "94-63=31", "1*31=31" ]
Current State: 31:[35, 94, 63, 36], Operations: [] Exploring Operation: 36-35=1, Resulting Numbers: [94, 63, 1] Generated Node #2: [94, 63, 1] from Operation: 36-35=1 Current State: 31:[94, 63, 1], Operations: ['36-35=1'] Exploring Operation: 94-63=31, Resulting Numbers: [1, 31] Generated Node #3: [1, 31] from Operation: 94-63=31 Current State: 31:[1, 31], Operations: ['36-35=1', '94-63=31'] Exploring Operation: 1*31=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 87, 11, 83, 54 ]
39
[ "87+11=98", "83+54=137", "137-98=39" ]
Current State: 39:[87, 11, 83, 54], Operations: [] Exploring Operation: 87+11=98, Resulting Numbers: [83, 54, 98] Generated Node #2: [83, 54, 98] from Operation: 87+11=98 Current State: 39:[83, 54, 98], Operations: ['87+11=98'] Exploring Operation: 83+54=137, Resulting Numbers: [98, 137] Generated Node #3: [98, 137] from Operation: 83+54=137 Current State: 39:[98, 137], Operations: ['87+11=98', '83+54=137'] Exploring Operation: 137-98=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 83, 48, 16, 69 ]
88
[ "83-48=35", "69-16=53", "35+53=88" ]
Current State: 88:[83, 48, 16, 69], Operations: [] Exploring Operation: 83-48=35, Resulting Numbers: [16, 69, 35] Generated Node #2: [16, 69, 35] from Operation: 83-48=35 Current State: 88:[16, 69, 35], Operations: ['83-48=35'] Exploring Operation: 69-16=53, Resulting Numbers: [35, 53] Generated Node #3: [35, 53] from Operation: 69-16=53 Current State: 88:[35, 53], Operations: ['83-48=35', '69-16=53'] Exploring Operation: 35+53=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 83, 75, 61, 2 ]
30
[ "83*2=166", "75+61=136", "166-136=30" ]
Current State: 30:[83, 75, 61, 2], Operations: [] Exploring Operation: 83*2=166, Resulting Numbers: [75, 61, 166] Generated Node #2: [75, 61, 166] from Operation: 83*2=166 Current State: 30:[75, 61, 166], Operations: ['83*2=166'] Exploring Operation: 75+61=136, Resulting Numbers: [166, 136] Generated Node #3: [166, 136] from Operation: 75+61=136 Current State: 30:[166, 136], Operations: ['83*2=166', '75+61=136'] Exploring Operation: 166-136=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 22, 31, 48, 62 ]
92
[ "22*62=1364", "1364/31=44", "48+44=92" ]
Current State: 92:[22, 31, 48, 62], Operations: [] Exploring Operation: 22*62=1364, Resulting Numbers: [31, 48, 1364] Generated Node #2: [31, 48, 1364] from Operation: 22*62=1364 Current State: 92:[31, 48, 1364], Operations: ['22*62=1364'] Exploring Operation: 1364/31=44, Resulting Numbers: [48, 44] Generated Node #3: [48, 44] from Operation: 1364/31=44 Current State: 92:[48, 44], Operations: ['22*62=1364', '1364/31=44'] Exploring Operation: 48+44=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 7, 77, 71, 68 ]
33
[ "77/7=11", "71-68=3", "11*3=33" ]
Current State: 33:[7, 77, 71, 68], Operations: [] Exploring Operation: 77/7=11, Resulting Numbers: [71, 68, 11] Generated Node #2: [71, 68, 11] from Operation: 77/7=11 Current State: 33:[71, 68, 11], Operations: ['77/7=11'] Exploring Operation: 71-68=3, Resulting Numbers: [11, 3] Generated Node #3: [11, 3] from Operation: 71-68=3 Current State: 33:[11, 3], Operations: ['77/7=11', '71-68=3'] Exploring Operation: 11*3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 10, 29, 57, 69 ]
53
[ "69-29=40", "40/10=4", "57-4=53" ]
Current State: 53:[10, 29, 57, 69], Operations: [] Exploring Operation: 69-29=40, Resulting Numbers: [10, 57, 40] Generated Node #2: [10, 57, 40] from Operation: 69-29=40 Current State: 53:[10, 57, 40], Operations: ['69-29=40'] Exploring Operation: 40/10=4, Resulting Numbers: [57, 4] Generated Node #3: [57, 4] from Operation: 40/10=4 Current State: 53:[57, 4], Operations: ['69-29=40', '40/10=4'] Exploring Operation: 57-4=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 79, 11, 24, 7 ]
59
[ "79+11=90", "24+7=31", "90-31=59" ]
Current State: 59:[79, 11, 24, 7], Operations: [] Exploring Operation: 79+11=90, Resulting Numbers: [24, 7, 90] Generated Node #2: [24, 7, 90] from Operation: 79+11=90 Current State: 59:[24, 7, 90], Operations: ['79+11=90'] Exploring Operation: 24+7=31, Resulting Numbers: [90, 31] Generated Node #3: [90, 31] from Operation: 24+7=31 Current State: 59:[90, 31], Operations: ['79+11=90', '24+7=31'] Exploring Operation: 90-31=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 64, 4, 68, 17 ]
64
[ "64+4=68", "68/17=4", "68-4=64" ]
Current State: 64:[64, 4, 68, 17], Operations: [] Exploring Operation: 64+4=68, Resulting Numbers: [68, 17, 68] Generated Node #2: [68, 17, 68] from Operation: 64+4=68 Current State: 64:[68, 17, 68], Operations: ['64+4=68'] Exploring Operation: 68/17=4, Resulting Numbers: [4] 4,64 equal: Goal Reached Exploring Operation: 68-4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 82, 15, 39, 76 ]
60
[ "82+15=97", "76-39=37", "97-37=60" ]
Current State: 60:[82, 15, 39, 76], Operations: [] Exploring Operation: 82+15=97, Resulting Numbers: [39, 76, 97] Generated Node #2: [39, 76, 97] from Operation: 82+15=97 Current State: 60:[39, 76, 97], Operations: ['82+15=97'] Exploring Operation: 76-39=37, Resulting Numbers: [97, 37] Generated Node #3: [97, 37] from Operation: 76-39=37 Current State: 60:[97, 37], Operations: ['82+15=97', '76-39=37'] Exploring Operation: 97-37=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 11, 42, 92, 14 ]
20
[ "11*14=154", "42+92=134", "154-134=20" ]
Current State: 20:[11, 42, 92, 14], Operations: [] Exploring Operation: 11*14=154, Resulting Numbers: [42, 92, 154] Generated Node #2: [42, 92, 154] from Operation: 11*14=154 Current State: 20:[42, 92, 154], Operations: ['11*14=154'] Exploring Operation: 42+92=134, Resulting Numbers: [154, 134] Generated Node #3: [154, 134] from Operation: 42+92=134 Current State: 20:[154, 134], Operations: ['11*14=154', '42+92=134'] Exploring Operation: 154-134=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 73, 39, 70, 6 ]
15
[ "73-70=3", "39+6=45", "45/3=15" ]
Current State: 15:[73, 39, 70, 6], Operations: [] Exploring Operation: 73-70=3, Resulting Numbers: [39, 6, 3] Generated Node #2: [39, 6, 3] from Operation: 73-70=3 Current State: 15:[39, 6, 3], Operations: ['73-70=3'] Exploring Operation: 39+6=45, Resulting Numbers: [3, 45] Generated Node #3: [3, 45] from Operation: 39+6=45 Current State: 15:[3, 45], Operations: ['73-70=3', '39+6=45'] Exploring Operation: 45/3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 94, 39, 17, 92 ]
28
[ "94-92=2", "39+17=56", "56/2=28" ]
Current State: 28:[94, 39, 17, 92], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [39, 17, 2] Generated Node #2: [39, 17, 2] from Operation: 94-92=2 Current State: 28:[39, 17, 2], Operations: ['94-92=2'] Exploring Operation: 39+17=56, Resulting Numbers: [2, 56] Generated Node #3: [2, 56] from Operation: 39+17=56 Current State: 28:[2, 56], Operations: ['94-92=2', '39+17=56'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 2, 56, 10, 2 ]
80
[ "2+10=12", "2*12=24", "56+24=80" ]
Current State: 80:[2, 56, 10, 2], Operations: [] Exploring Operation: 2+10=12, Resulting Numbers: [56, 12] Generated Node #2: [56, 12] from Operation: 2+10=12 Current State: 80:[56, 12], Operations: ['2+10=12'] Exploring Operation: 2*12=24, Resulting Numbers: [56, 24] Generated Node #3: [56, 24] from Operation: 2*12=24 Current State: 80:[56, 24], Operations: ['2+10=12', '2*12=24'] Exploring Operation: 56+24=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 64, 84, 6, 93 ]
15
[ "93-64=29", "84/6=14", "29-14=15" ]
Current State: 15:[64, 84, 6, 93], Operations: [] Exploring Operation: 93-64=29, Resulting Numbers: [84, 6, 29] Generated Node #2: [84, 6, 29] from Operation: 93-64=29 Current State: 15:[84, 6, 29], Operations: ['93-64=29'] Exploring Operation: 84/6=14, Resulting Numbers: [29, 14] Generated Node #3: [29, 14] from Operation: 84/6=14 Current State: 15:[29, 14], Operations: ['93-64=29', '84/6=14'] Exploring Operation: 29-14=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 2, 41, 26, 53 ]
81
[ "26/2=13", "41+53=94", "94-13=81" ]
Current State: 81:[2, 41, 26, 53], Operations: [] Exploring Operation: 26/2=13, Resulting Numbers: [41, 53, 13] Generated Node #2: [41, 53, 13] from Operation: 26/2=13 Current State: 81:[41, 53, 13], Operations: ['26/2=13'] Exploring Operation: 41+53=94, Resulting Numbers: [13, 94] Generated Node #3: [13, 94] from Operation: 41+53=94 Current State: 81:[13, 94], Operations: ['26/2=13', '41+53=94'] Exploring Operation: 94-13=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 36, 70, 3, 21 ]
97
[ "70-36=34", "3*21=63", "34+63=97" ]
Current State: 97:[36, 70, 3, 21], Operations: [] Exploring Operation: 70-36=34, Resulting Numbers: [3, 21, 34] Generated Node #2: [3, 21, 34] from Operation: 70-36=34 Current State: 97:[3, 21, 34], Operations: ['70-36=34'] Exploring Operation: 3*21=63, Resulting Numbers: [34, 63] Generated Node #3: [34, 63] from Operation: 3*21=63 Current State: 97:[34, 63], Operations: ['70-36=34', '3*21=63'] Exploring Operation: 34+63=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 46, 13, 59, 15 ]
41
[ "46-13=33", "59+15=74", "74-33=41" ]
Current State: 41:[46, 13, 59, 15], Operations: [] Exploring Operation: 46-13=33, Resulting Numbers: [59, 15, 33] Generated Node #2: [59, 15, 33] from Operation: 46-13=33 Current State: 41:[59, 15, 33], Operations: ['46-13=33'] Exploring Operation: 59+15=74, Resulting Numbers: [33, 74] Generated Node #3: [33, 74] from Operation: 59+15=74 Current State: 41:[33, 74], Operations: ['46-13=33', '59+15=74'] Exploring Operation: 74-33=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 97, 14, 65, 89 ]
59
[ "97-14=83", "89-65=24", "83-24=59" ]
Current State: 59:[97, 14, 65, 89], Operations: [] Exploring Operation: 97-14=83, Resulting Numbers: [65, 89, 83] Generated Node #2: [65, 89, 83] from Operation: 97-14=83 Current State: 59:[65, 89, 83], Operations: ['97-14=83'] Exploring Operation: 89-65=24, Resulting Numbers: [83, 24] Generated Node #3: [83, 24] from Operation: 89-65=24 Current State: 59:[83, 24], Operations: ['97-14=83', '89-65=24'] Exploring Operation: 83-24=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 19, 26, 70, 12 ]
13
[ "19+26=45", "70-12=58", "58-45=13" ]
Current State: 13:[19, 26, 70, 12], Operations: [] Exploring Operation: 19+26=45, Resulting Numbers: [70, 12, 45] Generated Node #2: [70, 12, 45] from Operation: 19+26=45 Current State: 13:[70, 12, 45], Operations: ['19+26=45'] Exploring Operation: 70-12=58, Resulting Numbers: [45, 58] Generated Node #3: [45, 58] from Operation: 70-12=58 Current State: 13:[45, 58], Operations: ['19+26=45', '70-12=58'] Exploring Operation: 58-45=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 93, 53, 46, 23 ]
42
[ "93-53=40", "46/23=2", "40+2=42" ]
Current State: 42:[93, 53, 46, 23], Operations: [] Exploring Operation: 93-53=40, Resulting Numbers: [46, 23, 40] Generated Node #2: [46, 23, 40] from Operation: 93-53=40 Current State: 42:[46, 23, 40], Operations: ['93-53=40'] Exploring Operation: 46/23=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 46/23=2 Current State: 42:[40, 2], Operations: ['93-53=40', '46/23=2'] Exploring Operation: 40+2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 32, 51, 3, 13 ]
44
[ "32+51=83", "3*13=39", "83-39=44" ]
Current State: 44:[32, 51, 3, 13], Operations: [] Exploring Operation: 32+51=83, Resulting Numbers: [3, 13, 83] Generated Node #2: [3, 13, 83] from Operation: 32+51=83 Current State: 44:[3, 13, 83], Operations: ['32+51=83'] Exploring Operation: 3*13=39, Resulting Numbers: [83, 39] Generated Node #3: [83, 39] from Operation: 3*13=39 Current State: 44:[83, 39], Operations: ['32+51=83', '3*13=39'] Exploring Operation: 83-39=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4