nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 22, 70, 9, 88 ]
40
[ "22*9=198", "70+88=158", "198-158=40" ]
Current State: 40:[22, 70, 9, 88], Operations: [] Exploring Operation: 22*9=198, Resulting Numbers: [70, 88, 198] Generated Node #2: [70, 88, 198] from Operation: 22*9=198 Current State: 40:[70, 88, 198], Operations: ['22*9=198'] Exploring Operation: 70+88=158, Resulting Numbers: [198, 158] Generated Node #3: [198, 158] from Operation: 70+88=158 Current State: 40:[198, 158], Operations: ['22*9=198', '70+88=158'] Exploring Operation: 198-158=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 3, 24, 49, 21 ]
49
[ "24-3=21", "49+21=70", "70-21=49" ]
Current State: 49:[3, 24, 49, 21], Operations: [] Exploring Operation: 24-3=21, Resulting Numbers: [49, 21, 21] Generated Node #2: [49, 21, 21] from Operation: 24-3=21 Current State: 49:[49, 21, 21], Operations: ['24-3=21'] Exploring Operation: 49+21=70, Resulting Numbers: [70] 70,49 equal: Goal Reached Exploring Operation: 70-21=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 29, 68, 22, 2 ]
100
[ "68-29=39", "2*39=78", "22+78=100" ]
Current State: 100:[29, 68, 22, 2], Operations: [] Exploring Operation: 68-29=39, Resulting Numbers: [22, 2, 39] Generated Node #2: [22, 2, 39] from Operation: 68-29=39 Current State: 100:[22, 2, 39], Operations: ['68-29=39'] Exploring Operation: 2*39=78, Resulting Numbers: [22, 78] Generated Node #3: [22, 78] from Operation: 2*39=78 Current State: 100:[22, 78], Operations: ['68-29=39', '2*39=78'] Exploring Operation: 22+78=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 7, 99, 99, 8 ]
14
[ "7+8=15", "99/99=1", "15-1=14" ]
Current State: 14:[7, 99, 99, 8], Operations: [] Exploring Operation: 7+8=15, Resulting Numbers: [99, 99, 15] Generated Node #2: [99, 99, 15] from Operation: 7+8=15 Current State: 14:[99, 99, 15], Operations: ['7+8=15'] Exploring Operation: 99/99=1, Resulting Numbers: [15, 1] Generated Node #3: [15, 1] from Operation: 99/99=1 Current State: 14:[15, 1], Operations: ['7+8=15', '99/99=1'] Exploring Operation: 15-1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 5, 95, 87, 59 ]
45
[ "87-59=28", "5*28=140", "140-95=45" ]
Current State: 45:[5, 95, 87, 59], Operations: [] Exploring Operation: 87-59=28, Resulting Numbers: [5, 95, 28] Generated Node #2: [5, 95, 28] from Operation: 87-59=28 Current State: 45:[5, 95, 28], Operations: ['87-59=28'] Exploring Operation: 5*28=140, Resulting Numbers: [95, 140] Generated Node #3: [95, 140] from Operation: 5*28=140 Current State: 45:[95, 140], Operations: ['87-59=28', '5*28=140'] Exploring Operation: 140-95=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 93, 2, 33, 68 ]
98
[ "93-33=60", "60/2=30", "68+30=98" ]
Current State: 98:[93, 2, 33, 68], Operations: [] Exploring Operation: 93-33=60, Resulting Numbers: [2, 68, 60] Generated Node #2: [2, 68, 60] from Operation: 93-33=60 Current State: 98:[2, 68, 60], Operations: ['93-33=60'] Exploring Operation: 60/2=30, Resulting Numbers: [68, 30] Generated Node #3: [68, 30] from Operation: 60/2=30 Current State: 98:[68, 30], Operations: ['93-33=60', '60/2=30'] Exploring Operation: 68+30=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 2, 91, 42, 43 ]
88
[ "91-2=89", "43-42=1", "89-1=88" ]
Current State: 88:[2, 91, 42, 43], Operations: [] Exploring Operation: 91-2=89, Resulting Numbers: [42, 43, 89] Generated Node #2: [42, 43, 89] from Operation: 91-2=89 Current State: 88:[42, 43, 89], Operations: ['91-2=89'] Exploring Operation: 43-42=1, Resulting Numbers: [89, 1] Generated Node #3: [89, 1] from Operation: 43-42=1 Current State: 88:[89, 1], Operations: ['91-2=89', '43-42=1'] Exploring Operation: 89-1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 51, 77, 90, 76 ]
38
[ "51+77=128", "90+76=166", "166-128=38" ]
Current State: 38:[51, 77, 90, 76], Operations: [] Exploring Operation: 51+77=128, Resulting Numbers: [90, 76, 128] Generated Node #2: [90, 76, 128] from Operation: 51+77=128 Current State: 38:[90, 76, 128], Operations: ['51+77=128'] Exploring Operation: 90+76=166, Resulting Numbers: [128, 166] Generated Node #3: [128, 166] from Operation: 90+76=166 Current State: 38:[128, 166], Operations: ['51+77=128', '90+76=166'] Exploring Operation: 166-128=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 66, 10, 4, 97 ]
71
[ "97-66=31", "10*4=40", "31+40=71" ]
Current State: 71:[66, 10, 4, 97], Operations: [] Exploring Operation: 97-66=31, Resulting Numbers: [10, 4, 31] Generated Node #2: [10, 4, 31] from Operation: 97-66=31 Current State: 71:[10, 4, 31], Operations: ['97-66=31'] Exploring Operation: 10*4=40, Resulting Numbers: [31, 40] Generated Node #3: [31, 40] from Operation: 10*4=40 Current State: 71:[31, 40], Operations: ['97-66=31', '10*4=40'] Exploring Operation: 31+40=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 16, 2, 34, 74 ]
76
[ "16*2=32", "34+74=108", "108-32=76" ]
Current State: 76:[16, 2, 34, 74], Operations: [] Exploring Operation: 16*2=32, Resulting Numbers: [34, 74, 32] Generated Node #2: [34, 74, 32] from Operation: 16*2=32 Current State: 76:[34, 74, 32], Operations: ['16*2=32'] Exploring Operation: 34+74=108, Resulting Numbers: [32, 108] Generated Node #3: [32, 108] from Operation: 34+74=108 Current State: 76:[32, 108], Operations: ['16*2=32', '34+74=108'] Exploring Operation: 108-32=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 74, 5, 26, 61 ]
41
[ "74+26=100", "100/5=20", "61-20=41" ]
Current State: 41:[74, 5, 26, 61], Operations: [] Exploring Operation: 74+26=100, Resulting Numbers: [5, 61, 100] Generated Node #2: [5, 61, 100] from Operation: 74+26=100 Current State: 41:[5, 61, 100], Operations: ['74+26=100'] Exploring Operation: 100/5=20, Resulting Numbers: [61, 20] Generated Node #3: [61, 20] from Operation: 100/5=20 Current State: 41:[61, 20], Operations: ['74+26=100', '100/5=20'] Exploring Operation: 61-20=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 22, 65, 8, 55 ]
58
[ "65-55=10", "8*10=80", "80-22=58" ]
Current State: 58:[22, 65, 8, 55], Operations: [] Exploring Operation: 65-55=10, Resulting Numbers: [22, 8, 10] Generated Node #2: [22, 8, 10] from Operation: 65-55=10 Current State: 58:[22, 8, 10], Operations: ['65-55=10'] Exploring Operation: 8*10=80, Resulting Numbers: [22, 80] Generated Node #3: [22, 80] from Operation: 8*10=80 Current State: 58:[22, 80], Operations: ['65-55=10', '8*10=80'] Exploring Operation: 80-22=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 9, 68, 95, 7 ]
19
[ "9*7=63", "68-63=5", "95/5=19" ]
Current State: 19:[9, 68, 95, 7], Operations: [] Exploring Operation: 9*7=63, Resulting Numbers: [68, 95, 63] Generated Node #2: [68, 95, 63] from Operation: 9*7=63 Current State: 19:[68, 95, 63], Operations: ['9*7=63'] Exploring Operation: 68-63=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 68-63=5 Current State: 19:[95, 5], Operations: ['9*7=63', '68-63=5'] Exploring Operation: 95/5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 82, 27, 37, 1 ]
92
[ "82-27=55", "37*1=37", "55+37=92" ]
Current State: 92:[82, 27, 37, 1], Operations: [] Exploring Operation: 82-27=55, Resulting Numbers: [37, 1, 55] Generated Node #2: [37, 1, 55] from Operation: 82-27=55 Current State: 92:[37, 1, 55], Operations: ['82-27=55'] Exploring Operation: 37*1=37, Resulting Numbers: [55, 37] Generated Node #3: [55, 37] from Operation: 37*1=37 Current State: 92:[55, 37], Operations: ['82-27=55', '37*1=37'] Exploring Operation: 55+37=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 52, 84, 4, 10 ]
58
[ "4+10=14", "84/14=6", "52+6=58" ]
Current State: 58:[52, 84, 4, 10], Operations: [] Exploring Operation: 4+10=14, Resulting Numbers: [52, 84, 14] Generated Node #2: [52, 84, 14] from Operation: 4+10=14 Current State: 58:[52, 84, 14], Operations: ['4+10=14'] Exploring Operation: 84/14=6, Resulting Numbers: [52, 6] Generated Node #3: [52, 6] from Operation: 84/14=6 Current State: 58:[52, 6], Operations: ['4+10=14', '84/14=6'] Exploring Operation: 52+6=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 74, 51, 88, 46 ]
65
[ "74-51=23", "88-46=42", "23+42=65" ]
Current State: 65:[74, 51, 88, 46], Operations: [] Exploring Operation: 74-51=23, Resulting Numbers: [88, 46, 23] Generated Node #2: [88, 46, 23] from Operation: 74-51=23 Current State: 65:[88, 46, 23], Operations: ['74-51=23'] Exploring Operation: 88-46=42, Resulting Numbers: [23, 42] Generated Node #3: [23, 42] from Operation: 88-46=42 Current State: 65:[23, 42], Operations: ['74-51=23', '88-46=42'] Exploring Operation: 23+42=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 2, 60, 90, 62 ]
34
[ "2+60=62", "90-62=28", "62-28=34" ]
Current State: 34:[2, 60, 90, 62], Operations: [] Exploring Operation: 2+60=62, Resulting Numbers: [90, 62, 62] Generated Node #2: [90, 62, 62] from Operation: 2+60=62 Current State: 34:[90, 62, 62], Operations: ['2+60=62'] Exploring Operation: 90-62=28, Resulting Numbers: [28] 28,34 equal: Goal Reached Exploring Operation: 62-28=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 25, 48, 69, 22 ]
50
[ "69-25=44", "44/22=2", "48+2=50" ]
Current State: 50:[25, 48, 69, 22], Operations: [] Exploring Operation: 69-25=44, Resulting Numbers: [48, 22, 44] Generated Node #2: [48, 22, 44] from Operation: 69-25=44 Current State: 50:[48, 22, 44], Operations: ['69-25=44'] Exploring Operation: 44/22=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 44/22=2 Current State: 50:[48, 2], Operations: ['69-25=44', '44/22=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 59, 78, 3, 39 ]
61
[ "78-59=19", "3+39=42", "19+42=61" ]
Current State: 61:[59, 78, 3, 39], Operations: [] Exploring Operation: 78-59=19, Resulting Numbers: [3, 39, 19] Generated Node #2: [3, 39, 19] from Operation: 78-59=19 Current State: 61:[3, 39, 19], Operations: ['78-59=19'] Exploring Operation: 3+39=42, Resulting Numbers: [19, 42] Generated Node #3: [19, 42] from Operation: 3+39=42 Current State: 61:[19, 42], Operations: ['78-59=19', '3+39=42'] Exploring Operation: 19+42=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 43, 18, 54, 2 ]
38
[ "43-2=41", "54/18=3", "41-3=38" ]
Current State: 38:[43, 18, 54, 2], Operations: [] Exploring Operation: 43-2=41, Resulting Numbers: [18, 54, 41] Generated Node #2: [18, 54, 41] from Operation: 43-2=41 Current State: 38:[18, 54, 41], Operations: ['43-2=41'] Exploring Operation: 54/18=3, Resulting Numbers: [41, 3] Generated Node #3: [41, 3] from Operation: 54/18=3 Current State: 38:[41, 3], Operations: ['43-2=41', '54/18=3'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 12, 5, 87, 82 ]
11
[ "87-5=82", "82/82=1", "12-1=11" ]
Current State: 11:[12, 5, 87, 82], Operations: [] Exploring Operation: 87-5=82, Resulting Numbers: [12, 82, 82] Generated Node #2: [12, 82, 82] from Operation: 87-5=82 Current State: 11:[12, 82, 82], Operations: ['87-5=82'] Exploring Operation: 82/82=1, Resulting Numbers: [12, 1] Generated Node #3: [12, 1] from Operation: 82/82=1 Current State: 11:[12, 1], Operations: ['87-5=82', '82/82=1'] Exploring Operation: 12-1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 95, 6, 63, 54 ]
80
[ "95-6=89", "63-54=9", "89-9=80" ]
Current State: 80:[95, 6, 63, 54], Operations: [] Exploring Operation: 95-6=89, Resulting Numbers: [63, 54, 89] Generated Node #2: [63, 54, 89] from Operation: 95-6=89 Current State: 80:[63, 54, 89], Operations: ['95-6=89'] Exploring Operation: 63-54=9, Resulting Numbers: [89, 9] Generated Node #3: [89, 9] from Operation: 63-54=9 Current State: 80:[89, 9], Operations: ['95-6=89', '63-54=9'] Exploring Operation: 89-9=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 53, 41, 62, 8 ]
42
[ "53-41=12", "62-8=54", "54-12=42" ]
Current State: 42:[53, 41, 62, 8], Operations: [] Exploring Operation: 53-41=12, Resulting Numbers: [62, 8, 12] Generated Node #2: [62, 8, 12] from Operation: 53-41=12 Current State: 42:[62, 8, 12], Operations: ['53-41=12'] Exploring Operation: 62-8=54, Resulting Numbers: [12, 54] Generated Node #3: [12, 54] from Operation: 62-8=54 Current State: 42:[12, 54], Operations: ['53-41=12', '62-8=54'] Exploring Operation: 54-12=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 45, 13, 39, 62 ]
77
[ "45*13=585", "585/39=15", "62+15=77" ]
Current State: 77:[45, 13, 39, 62], Operations: [] Exploring Operation: 45*13=585, Resulting Numbers: [39, 62, 585] Generated Node #2: [39, 62, 585] from Operation: 45*13=585 Current State: 77:[39, 62, 585], Operations: ['45*13=585'] Exploring Operation: 585/39=15, Resulting Numbers: [62, 15] Generated Node #3: [62, 15] from Operation: 585/39=15 Current State: 77:[62, 15], Operations: ['45*13=585', '585/39=15'] Exploring Operation: 62+15=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 41, 34, 62, 88 ]
75
[ "41+34=75", "62+88=150", "150-75=75" ]
Current State: 75:[41, 34, 62, 88], Operations: [] Exploring Operation: 41+34=75, Resulting Numbers: [62, 88, 75] Generated Node #2: [62, 88, 75] from Operation: 41+34=75 Current State: 75:[62, 88, 75], Operations: ['41+34=75'] Exploring Operation: 62+88=150, Resulting Numbers: [75, 150] Generated Node #3: [75, 150] from Operation: 62+88=150 Current State: 75:[75, 150], Operations: ['41+34=75', '62+88=150'] Exploring Operation: 150-75=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 6, 68, 58, 77 ]
73
[ "68-6=62", "58+77=135", "135-62=73" ]
Current State: 73:[6, 68, 58, 77], Operations: [] Exploring Operation: 68-6=62, Resulting Numbers: [58, 77, 62] Generated Node #2: [58, 77, 62] from Operation: 68-6=62 Current State: 73:[58, 77, 62], Operations: ['68-6=62'] Exploring Operation: 58+77=135, Resulting Numbers: [62, 135] Generated Node #3: [62, 135] from Operation: 58+77=135 Current State: 73:[62, 135], Operations: ['68-6=62', '58+77=135'] Exploring Operation: 135-62=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 1, 91, 94, 7 ]
22
[ "94-91=3", "7*3=21", "1+21=22" ]
Current State: 22:[1, 91, 94, 7], Operations: [] Exploring Operation: 94-91=3, Resulting Numbers: [1, 7, 3] Generated Node #2: [1, 7, 3] from Operation: 94-91=3 Current State: 22:[1, 7, 3], Operations: ['94-91=3'] Exploring Operation: 7*3=21, Resulting Numbers: [1, 21] Generated Node #3: [1, 21] from Operation: 7*3=21 Current State: 22:[1, 21], Operations: ['94-91=3', '7*3=21'] Exploring Operation: 1+21=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 22, 24, 89, 61 ]
74
[ "22+24=46", "89-61=28", "46+28=74" ]
Current State: 74:[22, 24, 89, 61], Operations: [] Exploring Operation: 22+24=46, Resulting Numbers: [89, 61, 46] Generated Node #2: [89, 61, 46] from Operation: 22+24=46 Current State: 74:[89, 61, 46], Operations: ['22+24=46'] Exploring Operation: 89-61=28, Resulting Numbers: [46, 28] Generated Node #3: [46, 28] from Operation: 89-61=28 Current State: 74:[46, 28], Operations: ['22+24=46', '89-61=28'] Exploring Operation: 46+28=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 97, 80, 21, 17 ]
94
[ "80-17=63", "63/21=3", "97-3=94" ]
Current State: 94:[97, 80, 21, 17], Operations: [] Exploring Operation: 80-17=63, Resulting Numbers: [97, 21, 63] Generated Node #2: [97, 21, 63] from Operation: 80-17=63 Current State: 94:[97, 21, 63], Operations: ['80-17=63'] Exploring Operation: 63/21=3, Resulting Numbers: [97, 3] Generated Node #3: [97, 3] from Operation: 63/21=3 Current State: 94:[97, 3], Operations: ['80-17=63', '63/21=3'] Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 49, 12, 45, 22 ]
19
[ "49-45=4", "12/4=3", "22-3=19" ]
Current State: 19:[49, 12, 45, 22], Operations: [] Exploring Operation: 49-45=4, Resulting Numbers: [12, 22, 4] Generated Node #2: [12, 22, 4] from Operation: 49-45=4 Current State: 19:[12, 22, 4], Operations: ['49-45=4'] Exploring Operation: 12/4=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 12/4=3 Current State: 19:[22, 3], Operations: ['49-45=4', '12/4=3'] Exploring Operation: 22-3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 35, 28, 88, 7 ]
73
[ "35+88=123", "28*7=196", "196-123=73" ]
Current State: 73:[35, 28, 88, 7], Operations: [] Exploring Operation: 35+88=123, Resulting Numbers: [28, 7, 123] Generated Node #2: [28, 7, 123] from Operation: 35+88=123 Current State: 73:[28, 7, 123], Operations: ['35+88=123'] Exploring Operation: 28*7=196, Resulting Numbers: [123, 196] Generated Node #3: [123, 196] from Operation: 28*7=196 Current State: 73:[123, 196], Operations: ['35+88=123', '28*7=196'] Exploring Operation: 196-123=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 4, 95, 81, 61 ]
79
[ "4+95=99", "81-61=20", "99-20=79" ]
Current State: 79:[4, 95, 81, 61], Operations: [] Exploring Operation: 4+95=99, Resulting Numbers: [81, 61, 99] Generated Node #2: [81, 61, 99] from Operation: 4+95=99 Current State: 79:[81, 61, 99], Operations: ['4+95=99'] Exploring Operation: 81-61=20, Resulting Numbers: [99, 20] Generated Node #3: [99, 20] from Operation: 81-61=20 Current State: 79:[99, 20], Operations: ['4+95=99', '81-61=20'] Exploring Operation: 99-20=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 32, 46, 4, 81 ]
25
[ "46-32=14", "4*14=56", "81-56=25" ]
Current State: 25:[32, 46, 4, 81], Operations: [] Exploring Operation: 46-32=14, Resulting Numbers: [4, 81, 14] Generated Node #2: [4, 81, 14] from Operation: 46-32=14 Current State: 25:[4, 81, 14], Operations: ['46-32=14'] Exploring Operation: 4*14=56, Resulting Numbers: [81, 56] Generated Node #3: [81, 56] from Operation: 4*14=56 Current State: 25:[81, 56], Operations: ['46-32=14', '4*14=56'] Exploring Operation: 81-56=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 85, 42, 20, 88 ]
19
[ "85+42=127", "20+88=108", "127-108=19" ]
Current State: 19:[85, 42, 20, 88], Operations: [] Exploring Operation: 85+42=127, Resulting Numbers: [20, 88, 127] Generated Node #2: [20, 88, 127] from Operation: 85+42=127 Current State: 19:[20, 88, 127], Operations: ['85+42=127'] Exploring Operation: 20+88=108, Resulting Numbers: [127, 108] Generated Node #3: [127, 108] from Operation: 20+88=108 Current State: 19:[127, 108], Operations: ['85+42=127', '20+88=108'] Exploring Operation: 127-108=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 90, 61, 8, 32 ]
25
[ "90-61=29", "32/8=4", "29-4=25" ]
Current State: 25:[90, 61, 8, 32], Operations: [] Exploring Operation: 90-61=29, Resulting Numbers: [8, 32, 29] Generated Node #2: [8, 32, 29] from Operation: 90-61=29 Current State: 25:[8, 32, 29], Operations: ['90-61=29'] Exploring Operation: 32/8=4, Resulting Numbers: [29, 4] Generated Node #3: [29, 4] from Operation: 32/8=4 Current State: 25:[29, 4], Operations: ['90-61=29', '32/8=4'] Exploring Operation: 29-4=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 94, 53, 77, 58 ]
85
[ "94-77=17", "58-53=5", "17*5=85" ]
Current State: 85:[94, 53, 77, 58], Operations: [] Exploring Operation: 94-77=17, Resulting Numbers: [53, 58, 17] Generated Node #2: [53, 58, 17] from Operation: 94-77=17 Current State: 85:[53, 58, 17], Operations: ['94-77=17'] Exploring Operation: 58-53=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 58-53=5 Current State: 85:[17, 5], Operations: ['94-77=17', '58-53=5'] Exploring Operation: 17*5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 42, 88, 50, 23 ]
27
[ "88-42=46", "50+23=73", "73-46=27" ]
Current State: 27:[42, 88, 50, 23], Operations: [] Exploring Operation: 88-42=46, Resulting Numbers: [50, 23, 46] Generated Node #2: [50, 23, 46] from Operation: 88-42=46 Current State: 27:[50, 23, 46], Operations: ['88-42=46'] Exploring Operation: 50+23=73, Resulting Numbers: [46, 73] Generated Node #3: [46, 73] from Operation: 50+23=73 Current State: 27:[46, 73], Operations: ['88-42=46', '50+23=73'] Exploring Operation: 73-46=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 17, 25, 14, 25 ]
81
[ "17+25=42", "14+25=39", "42+39=81" ]
Current State: 81:[17, 25, 14, 25], Operations: [] Exploring Operation: 17+25=42, Resulting Numbers: [14, 42] Generated Node #2: [14, 42] from Operation: 17+25=42 Current State: 81:[14, 42], Operations: ['17+25=42'] Exploring Operation: 14+25=39, Resulting Numbers: [42, 39] Generated Node #3: [42, 39] from Operation: 14+25=39 Current State: 81:[42, 39], Operations: ['17+25=42', '14+25=39'] Exploring Operation: 42+39=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 22, 14, 23, 5 ]
88
[ "23-14=9", "9-5=4", "22*4=88" ]
Current State: 88:[22, 14, 23, 5], Operations: [] Exploring Operation: 23-14=9, Resulting Numbers: [22, 5, 9] Generated Node #2: [22, 5, 9] from Operation: 23-14=9 Current State: 88:[22, 5, 9], Operations: ['23-14=9'] Exploring Operation: 9-5=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 9-5=4 Current State: 88:[22, 4], Operations: ['23-14=9', '9-5=4'] Exploring Operation: 22*4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 35, 6, 88, 94 ]
35
[ "35+6=41", "94-88=6", "41-6=35" ]
Current State: 35:[35, 6, 88, 94], Operations: [] Exploring Operation: 35+6=41, Resulting Numbers: [88, 94, 41] Generated Node #2: [88, 94, 41] from Operation: 35+6=41 Current State: 35:[88, 94, 41], Operations: ['35+6=41'] Exploring Operation: 94-88=6, Resulting Numbers: [41, 6] Generated Node #3: [41, 6] from Operation: 94-88=6 Current State: 35:[41, 6], Operations: ['35+6=41', '94-88=6'] Exploring Operation: 41-6=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 86, 26, 85, 73 ]
47
[ "86-85=1", "73-26=47", "1*47=47" ]
Current State: 47:[86, 26, 85, 73], Operations: [] Exploring Operation: 86-85=1, Resulting Numbers: [26, 73, 1] Generated Node #2: [26, 73, 1] from Operation: 86-85=1 Current State: 47:[26, 73, 1], Operations: ['86-85=1'] Exploring Operation: 73-26=47, Resulting Numbers: [1, 47] Generated Node #3: [1, 47] from Operation: 73-26=47 Current State: 47:[1, 47], Operations: ['86-85=1', '73-26=47'] Exploring Operation: 1*47=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 51, 90, 39, 21 ]
10
[ "51-39=12", "21-12=9", "90/9=10" ]
Current State: 10:[51, 90, 39, 21], Operations: [] Exploring Operation: 51-39=12, Resulting Numbers: [90, 21, 12] Generated Node #2: [90, 21, 12] from Operation: 51-39=12 Current State: 10:[90, 21, 12], Operations: ['51-39=12'] Exploring Operation: 21-12=9, Resulting Numbers: [90, 9] Generated Node #3: [90, 9] from Operation: 21-12=9 Current State: 10:[90, 9], Operations: ['51-39=12', '21-12=9'] Exploring Operation: 90/9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 92, 36, 8, 86 ]
84
[ "92-86=6", "8*6=48", "36+48=84" ]
Current State: 84:[92, 36, 8, 86], Operations: [] Exploring Operation: 92-86=6, Resulting Numbers: [36, 8, 6] Generated Node #2: [36, 8, 6] from Operation: 92-86=6 Current State: 84:[36, 8, 6], Operations: ['92-86=6'] Exploring Operation: 8*6=48, Resulting Numbers: [36, 48] Generated Node #3: [36, 48] from Operation: 8*6=48 Current State: 84:[36, 48], Operations: ['92-86=6', '8*6=48'] Exploring Operation: 36+48=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 96, 4, 62, 87 ]
75
[ "96+4=100", "87-62=25", "100-25=75" ]
Current State: 75:[96, 4, 62, 87], Operations: [] Exploring Operation: 96+4=100, Resulting Numbers: [62, 87, 100] Generated Node #2: [62, 87, 100] from Operation: 96+4=100 Current State: 75:[62, 87, 100], Operations: ['96+4=100'] Exploring Operation: 87-62=25, Resulting Numbers: [100, 25] Generated Node #3: [100, 25] from Operation: 87-62=25 Current State: 75:[100, 25], Operations: ['96+4=100', '87-62=25'] Exploring Operation: 100-25=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 52, 51, 77, 39 ]
37
[ "52-51=1", "77-39=38", "38-1=37" ]
Current State: 37:[52, 51, 77, 39], Operations: [] Exploring Operation: 52-51=1, Resulting Numbers: [77, 39, 1] Generated Node #2: [77, 39, 1] from Operation: 52-51=1 Current State: 37:[77, 39, 1], Operations: ['52-51=1'] Exploring Operation: 77-39=38, Resulting Numbers: [1, 38] Generated Node #3: [1, 38] from Operation: 77-39=38 Current State: 37:[1, 38], Operations: ['52-51=1', '77-39=38'] Exploring Operation: 38-1=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 62, 18, 2, 35 ]
28
[ "35-18=17", "2*17=34", "62-34=28" ]
Current State: 28:[62, 18, 2, 35], Operations: [] Exploring Operation: 35-18=17, Resulting Numbers: [62, 2, 17] Generated Node #2: [62, 2, 17] from Operation: 35-18=17 Current State: 28:[62, 2, 17], Operations: ['35-18=17'] Exploring Operation: 2*17=34, Resulting Numbers: [62, 34] Generated Node #3: [62, 34] from Operation: 2*17=34 Current State: 28:[62, 34], Operations: ['35-18=17', '2*17=34'] Exploring Operation: 62-34=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 78, 6, 7, 84 ]
99
[ "78+7=85", "84/6=14", "85+14=99" ]
Current State: 99:[78, 6, 7, 84], Operations: [] Exploring Operation: 78+7=85, Resulting Numbers: [6, 84, 85] Generated Node #2: [6, 84, 85] from Operation: 78+7=85 Current State: 99:[6, 84, 85], Operations: ['78+7=85'] Exploring Operation: 84/6=14, Resulting Numbers: [85, 14] Generated Node #3: [85, 14] from Operation: 84/6=14 Current State: 99:[85, 14], Operations: ['78+7=85', '84/6=14'] Exploring Operation: 85+14=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 24, 30, 7, 28 ]
84
[ "24*7=168", "30-28=2", "168/2=84" ]
Current State: 84:[24, 30, 7, 28], Operations: [] Exploring Operation: 24*7=168, Resulting Numbers: [30, 28, 168] Generated Node #2: [30, 28, 168] from Operation: 24*7=168 Current State: 84:[30, 28, 168], Operations: ['24*7=168'] Exploring Operation: 30-28=2, Resulting Numbers: [168, 2] Generated Node #3: [168, 2] from Operation: 30-28=2 Current State: 84:[168, 2], Operations: ['24*7=168', '30-28=2'] Exploring Operation: 168/2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 29, 21, 44, 87 ]
26
[ "87/29=3", "44-21=23", "3+23=26" ]
Current State: 26:[29, 21, 44, 87], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [21, 44, 3] Generated Node #2: [21, 44, 3] from Operation: 87/29=3 Current State: 26:[21, 44, 3], Operations: ['87/29=3'] Exploring Operation: 44-21=23, Resulting Numbers: [3, 23] Generated Node #3: [3, 23] from Operation: 44-21=23 Current State: 26:[3, 23], Operations: ['87/29=3', '44-21=23'] Exploring Operation: 3+23=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 32, 58, 67, 74 ]
97
[ "32+58=90", "74-67=7", "90+7=97" ]
Current State: 97:[32, 58, 67, 74], Operations: [] Exploring Operation: 32+58=90, Resulting Numbers: [67, 74, 90] Generated Node #2: [67, 74, 90] from Operation: 32+58=90 Current State: 97:[67, 74, 90], Operations: ['32+58=90'] Exploring Operation: 74-67=7, Resulting Numbers: [90, 7] Generated Node #3: [90, 7] from Operation: 74-67=7 Current State: 97:[90, 7], Operations: ['32+58=90', '74-67=7'] Exploring Operation: 90+7=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 49, 46, 87, 46 ]
39
[ "87-49=38", "46/46=1", "38+1=39" ]
Current State: 39:[49, 46, 87, 46], Operations: [] Exploring Operation: 87-49=38, Resulting Numbers: [46, 46, 38] Generated Node #2: [46, 46, 38] from Operation: 87-49=38 Current State: 39:[46, 46, 38], Operations: ['87-49=38'] Exploring Operation: 46/46=1, Resulting Numbers: [38, 1] Generated Node #3: [38, 1] from Operation: 46/46=1 Current State: 39:[38, 1], Operations: ['87-49=38', '46/46=1'] Exploring Operation: 38+1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 52, 7, 97, 77 ]
65
[ "52-7=45", "97-77=20", "45+20=65" ]
Current State: 65:[52, 7, 97, 77], Operations: [] Exploring Operation: 52-7=45, Resulting Numbers: [97, 77, 45] Generated Node #2: [97, 77, 45] from Operation: 52-7=45 Current State: 65:[97, 77, 45], Operations: ['52-7=45'] Exploring Operation: 97-77=20, Resulting Numbers: [45, 20] Generated Node #3: [45, 20] from Operation: 97-77=20 Current State: 65:[45, 20], Operations: ['52-7=45', '97-77=20'] Exploring Operation: 45+20=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 88, 32, 45, 4 ]
71
[ "88+32=120", "45+4=49", "120-49=71" ]
Current State: 71:[88, 32, 45, 4], Operations: [] Exploring Operation: 88+32=120, Resulting Numbers: [45, 4, 120] Generated Node #2: [45, 4, 120] from Operation: 88+32=120 Current State: 71:[45, 4, 120], Operations: ['88+32=120'] Exploring Operation: 45+4=49, Resulting Numbers: [120, 49] Generated Node #3: [120, 49] from Operation: 45+4=49 Current State: 71:[120, 49], Operations: ['88+32=120', '45+4=49'] Exploring Operation: 120-49=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 41, 15, 92, 18 ]
11
[ "41-18=23", "92/23=4", "15-4=11" ]
Current State: 11:[41, 15, 92, 18], Operations: [] Exploring Operation: 41-18=23, Resulting Numbers: [15, 92, 23] Generated Node #2: [15, 92, 23] from Operation: 41-18=23 Current State: 11:[15, 92, 23], Operations: ['41-18=23'] Exploring Operation: 92/23=4, Resulting Numbers: [15, 4] Generated Node #3: [15, 4] from Operation: 92/23=4 Current State: 11:[15, 4], Operations: ['41-18=23', '92/23=4'] Exploring Operation: 15-4=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 13, 4, 74, 92 ]
98
[ "4+74=78", "78/13=6", "92+6=98" ]
Current State: 98:[13, 4, 74, 92], Operations: [] Exploring Operation: 4+74=78, Resulting Numbers: [13, 92, 78] Generated Node #2: [13, 92, 78] from Operation: 4+74=78 Current State: 98:[13, 92, 78], Operations: ['4+74=78'] Exploring Operation: 78/13=6, Resulting Numbers: [92, 6] Generated Node #3: [92, 6] from Operation: 78/13=6 Current State: 98:[92, 6], Operations: ['4+74=78', '78/13=6'] Exploring Operation: 92+6=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 31, 48, 87, 40 ]
15
[ "40-31=9", "48+87=135", "135/9=15" ]
Current State: 15:[31, 48, 87, 40], Operations: [] Exploring Operation: 40-31=9, Resulting Numbers: [48, 87, 9] Generated Node #2: [48, 87, 9] from Operation: 40-31=9 Current State: 15:[48, 87, 9], Operations: ['40-31=9'] Exploring Operation: 48+87=135, Resulting Numbers: [9, 135] Generated Node #3: [9, 135] from Operation: 48+87=135 Current State: 15:[9, 135], Operations: ['40-31=9', '48+87=135'] Exploring Operation: 135/9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 64, 28, 36, 11 ]
45
[ "64+28=92", "36+11=47", "92-47=45" ]
Current State: 45:[64, 28, 36, 11], Operations: [] Exploring Operation: 64+28=92, Resulting Numbers: [36, 11, 92] Generated Node #2: [36, 11, 92] from Operation: 64+28=92 Current State: 45:[36, 11, 92], Operations: ['64+28=92'] Exploring Operation: 36+11=47, Resulting Numbers: [92, 47] Generated Node #3: [92, 47] from Operation: 36+11=47 Current State: 45:[92, 47], Operations: ['64+28=92', '36+11=47'] Exploring Operation: 92-47=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 79, 50, 89, 1 ]
41
[ "79+50=129", "89-1=88", "129-88=41" ]
Current State: 41:[79, 50, 89, 1], Operations: [] Exploring Operation: 79+50=129, Resulting Numbers: [89, 1, 129] Generated Node #2: [89, 1, 129] from Operation: 79+50=129 Current State: 41:[89, 1, 129], Operations: ['79+50=129'] Exploring Operation: 89-1=88, Resulting Numbers: [129, 88] Generated Node #3: [129, 88] from Operation: 89-1=88 Current State: 41:[129, 88], Operations: ['79+50=129', '89-1=88'] Exploring Operation: 129-88=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 11, 72, 82, 91 ]
90
[ "11+72=83", "82+91=173", "173-83=90" ]
Current State: 90:[11, 72, 82, 91], Operations: [] Exploring Operation: 11+72=83, Resulting Numbers: [82, 91, 83] Generated Node #2: [82, 91, 83] from Operation: 11+72=83 Current State: 90:[82, 91, 83], Operations: ['11+72=83'] Exploring Operation: 82+91=173, Resulting Numbers: [83, 173] Generated Node #3: [83, 173] from Operation: 82+91=173 Current State: 90:[83, 173], Operations: ['11+72=83', '82+91=173'] Exploring Operation: 173-83=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 81, 40, 5, 55 ]
52
[ "81-40=41", "55/5=11", "41+11=52" ]
Current State: 52:[81, 40, 5, 55], Operations: [] Exploring Operation: 81-40=41, Resulting Numbers: [5, 55, 41] Generated Node #2: [5, 55, 41] from Operation: 81-40=41 Current State: 52:[5, 55, 41], Operations: ['81-40=41'] Exploring Operation: 55/5=11, Resulting Numbers: [41, 11] Generated Node #3: [41, 11] from Operation: 55/5=11 Current State: 52:[41, 11], Operations: ['81-40=41', '55/5=11'] Exploring Operation: 41+11=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 13, 41, 9, 53 ]
56
[ "13*41=533", "9*53=477", "533-477=56" ]
Current State: 56:[13, 41, 9, 53], Operations: [] Exploring Operation: 13*41=533, Resulting Numbers: [9, 53, 533] Generated Node #2: [9, 53, 533] from Operation: 13*41=533 Current State: 56:[9, 53, 533], Operations: ['13*41=533'] Exploring Operation: 9*53=477, Resulting Numbers: [533, 477] Generated Node #3: [533, 477] from Operation: 9*53=477 Current State: 56:[533, 477], Operations: ['13*41=533', '9*53=477'] Exploring Operation: 533-477=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 37, 66, 63, 95 ]
65
[ "37+95=132", "132/66=2", "63+2=65" ]
Current State: 65:[37, 66, 63, 95], Operations: [] Exploring Operation: 37+95=132, Resulting Numbers: [66, 63, 132] Generated Node #2: [66, 63, 132] from Operation: 37+95=132 Current State: 65:[66, 63, 132], Operations: ['37+95=132'] Exploring Operation: 132/66=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 132/66=2 Current State: 65:[63, 2], Operations: ['37+95=132', '132/66=2'] Exploring Operation: 63+2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 83, 12, 77, 70 ]
78
[ "83-12=71", "77-70=7", "71+7=78" ]
Current State: 78:[83, 12, 77, 70], Operations: [] Exploring Operation: 83-12=71, Resulting Numbers: [77, 70, 71] Generated Node #2: [77, 70, 71] from Operation: 83-12=71 Current State: 78:[77, 70, 71], Operations: ['83-12=71'] Exploring Operation: 77-70=7, Resulting Numbers: [71, 7] Generated Node #3: [71, 7] from Operation: 77-70=7 Current State: 78:[71, 7], Operations: ['83-12=71', '77-70=7'] Exploring Operation: 71+7=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 10, 99, 30, 9 ]
80
[ "10*99=990", "990/9=110", "110-30=80" ]
Current State: 80:[10, 99, 30, 9], Operations: [] Exploring Operation: 10*99=990, Resulting Numbers: [30, 9, 990] Generated Node #2: [30, 9, 990] from Operation: 10*99=990 Current State: 80:[30, 9, 990], Operations: ['10*99=990'] Exploring Operation: 990/9=110, Resulting Numbers: [30, 110] Generated Node #3: [30, 110] from Operation: 990/9=110 Current State: 80:[30, 110], Operations: ['10*99=990', '990/9=110'] Exploring Operation: 110-30=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 15, 61, 38, 92 ]
94
[ "15+61=76", "76/38=2", "92+2=94" ]
Current State: 94:[15, 61, 38, 92], Operations: [] Exploring Operation: 15+61=76, Resulting Numbers: [38, 92, 76] Generated Node #2: [38, 92, 76] from Operation: 15+61=76 Current State: 94:[38, 92, 76], Operations: ['15+61=76'] Exploring Operation: 76/38=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 76/38=2 Current State: 94:[92, 2], Operations: ['15+61=76', '76/38=2'] Exploring Operation: 92+2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 21, 56, 1, 57 ]
93
[ "56-21=35", "1+57=58", "35+58=93" ]
Current State: 93:[21, 56, 1, 57], Operations: [] Exploring Operation: 56-21=35, Resulting Numbers: [1, 57, 35] Generated Node #2: [1, 57, 35] from Operation: 56-21=35 Current State: 93:[1, 57, 35], Operations: ['56-21=35'] Exploring Operation: 1+57=58, Resulting Numbers: [35, 58] Generated Node #3: [35, 58] from Operation: 1+57=58 Current State: 93:[35, 58], Operations: ['56-21=35', '1+57=58'] Exploring Operation: 35+58=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 24, 54, 82, 3 ]
36
[ "24/3=8", "82-54=28", "8+28=36" ]
Current State: 36:[24, 54, 82, 3], Operations: [] Exploring Operation: 24/3=8, Resulting Numbers: [54, 82, 8] Generated Node #2: [54, 82, 8] from Operation: 24/3=8 Current State: 36:[54, 82, 8], Operations: ['24/3=8'] Exploring Operation: 82-54=28, Resulting Numbers: [8, 28] Generated Node #3: [8, 28] from Operation: 82-54=28 Current State: 36:[8, 28], Operations: ['24/3=8', '82-54=28'] Exploring Operation: 8+28=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 79, 25, 66, 10 ]
48
[ "79+25=104", "66-10=56", "104-56=48" ]
Current State: 48:[79, 25, 66, 10], Operations: [] Exploring Operation: 79+25=104, Resulting Numbers: [66, 10, 104] Generated Node #2: [66, 10, 104] from Operation: 79+25=104 Current State: 48:[66, 10, 104], Operations: ['79+25=104'] Exploring Operation: 66-10=56, Resulting Numbers: [104, 56] Generated Node #3: [104, 56] from Operation: 66-10=56 Current State: 48:[104, 56], Operations: ['79+25=104', '66-10=56'] Exploring Operation: 104-56=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 48, 89, 38, 25 ]
75
[ "89-48=41", "41-38=3", "25*3=75" ]
Current State: 75:[48, 89, 38, 25], Operations: [] Exploring Operation: 89-48=41, Resulting Numbers: [38, 25, 41] Generated Node #2: [38, 25, 41] from Operation: 89-48=41 Current State: 75:[38, 25, 41], Operations: ['89-48=41'] Exploring Operation: 41-38=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 41-38=3 Current State: 75:[25, 3], Operations: ['89-48=41', '41-38=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 2, 41, 17, 4 ]
27
[ "41+17=58", "58-4=54", "54/2=27" ]
Current State: 27:[2, 41, 17, 4], Operations: [] Exploring Operation: 41+17=58, Resulting Numbers: [2, 4, 58] Generated Node #2: [2, 4, 58] from Operation: 41+17=58 Current State: 27:[2, 4, 58], Operations: ['41+17=58'] Exploring Operation: 58-4=54, Resulting Numbers: [2, 54] Generated Node #3: [2, 54] from Operation: 58-4=54 Current State: 27:[2, 54], Operations: ['41+17=58', '58-4=54'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 52, 75, 62, 9 ]
74
[ "52+75=127", "62-9=53", "127-53=74" ]
Current State: 74:[52, 75, 62, 9], Operations: [] Exploring Operation: 52+75=127, Resulting Numbers: [62, 9, 127] Generated Node #2: [62, 9, 127] from Operation: 52+75=127 Current State: 74:[62, 9, 127], Operations: ['52+75=127'] Exploring Operation: 62-9=53, Resulting Numbers: [127, 53] Generated Node #3: [127, 53] from Operation: 62-9=53 Current State: 74:[127, 53], Operations: ['52+75=127', '62-9=53'] Exploring Operation: 127-53=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 38, 35, 8, 34 ]
26
[ "38+34=72", "72/8=9", "35-9=26" ]
Current State: 26:[38, 35, 8, 34], Operations: [] Exploring Operation: 38+34=72, Resulting Numbers: [35, 8, 72] Generated Node #2: [35, 8, 72] from Operation: 38+34=72 Current State: 26:[35, 8, 72], Operations: ['38+34=72'] Exploring Operation: 72/8=9, Resulting Numbers: [35, 9] Generated Node #3: [35, 9] from Operation: 72/8=9 Current State: 26:[35, 9], Operations: ['38+34=72', '72/8=9'] Exploring Operation: 35-9=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 87, 95, 91, 93 ]
10
[ "95-87=8", "93-91=2", "8+2=10" ]
Current State: 10:[87, 95, 91, 93], Operations: [] Exploring Operation: 95-87=8, Resulting Numbers: [91, 93, 8] Generated Node #2: [91, 93, 8] from Operation: 95-87=8 Current State: 10:[91, 93, 8], Operations: ['95-87=8'] Exploring Operation: 93-91=2, Resulting Numbers: [8, 2] Generated Node #3: [8, 2] from Operation: 93-91=2 Current State: 10:[8, 2], Operations: ['95-87=8', '93-91=2'] Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 6, 38, 60, 47 ]
20
[ "6+38=44", "47-44=3", "60/3=20" ]
Current State: 20:[6, 38, 60, 47], Operations: [] Exploring Operation: 6+38=44, Resulting Numbers: [60, 47, 44] Generated Node #2: [60, 47, 44] from Operation: 6+38=44 Current State: 20:[60, 47, 44], Operations: ['6+38=44'] Exploring Operation: 47-44=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 47-44=3 Current State: 20:[60, 3], Operations: ['6+38=44', '47-44=3'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 81, 1, 40, 3 ]
40
[ "81-1=80", "40*3=120", "120-80=40" ]
Current State: 40:[81, 1, 40, 3], Operations: [] Exploring Operation: 81-1=80, Resulting Numbers: [40, 3, 80] Generated Node #2: [40, 3, 80] from Operation: 81-1=80 Current State: 40:[40, 3, 80], Operations: ['81-1=80'] Exploring Operation: 40*3=120, Resulting Numbers: [80, 120] Generated Node #3: [80, 120] from Operation: 40*3=120 Current State: 40:[80, 120], Operations: ['81-1=80', '40*3=120'] Exploring Operation: 120-80=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 6, 86, 70, 48 ]
34
[ "86+70=156", "48+156=204", "204/6=34" ]
Current State: 34:[6, 86, 70, 48], Operations: [] Exploring Operation: 86+70=156, Resulting Numbers: [6, 48, 156] Generated Node #2: [6, 48, 156] from Operation: 86+70=156 Current State: 34:[6, 48, 156], Operations: ['86+70=156'] Exploring Operation: 48+156=204, Resulting Numbers: [6, 204] Generated Node #3: [6, 204] from Operation: 48+156=204 Current State: 34:[6, 204], Operations: ['86+70=156', '48+156=204'] Exploring Operation: 204/6=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 40, 35, 54, 70 ]
16
[ "54-40=14", "70/35=2", "14+2=16" ]
Current State: 16:[40, 35, 54, 70], Operations: [] Exploring Operation: 54-40=14, Resulting Numbers: [35, 70, 14] Generated Node #2: [35, 70, 14] from Operation: 54-40=14 Current State: 16:[35, 70, 14], Operations: ['54-40=14'] Exploring Operation: 70/35=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 70/35=2 Current State: 16:[14, 2], Operations: ['54-40=14', '70/35=2'] Exploring Operation: 14+2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 37, 36, 71, 49 ]
52
[ "37+71=108", "108/36=3", "49+3=52" ]
Current State: 52:[37, 36, 71, 49], Operations: [] Exploring Operation: 37+71=108, Resulting Numbers: [36, 49, 108] Generated Node #2: [36, 49, 108] from Operation: 37+71=108 Current State: 52:[36, 49, 108], Operations: ['37+71=108'] Exploring Operation: 108/36=3, Resulting Numbers: [49, 3] Generated Node #3: [49, 3] from Operation: 108/36=3 Current State: 52:[49, 3], Operations: ['37+71=108', '108/36=3'] Exploring Operation: 49+3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 9, 28, 86, 18 ]
72
[ "9*28=252", "252/18=14", "86-14=72" ]
Current State: 72:[9, 28, 86, 18], Operations: [] Exploring Operation: 9*28=252, Resulting Numbers: [86, 18, 252] Generated Node #2: [86, 18, 252] from Operation: 9*28=252 Current State: 72:[86, 18, 252], Operations: ['9*28=252'] Exploring Operation: 252/18=14, Resulting Numbers: [86, 14] Generated Node #3: [86, 14] from Operation: 252/18=14 Current State: 72:[86, 14], Operations: ['9*28=252', '252/18=14'] Exploring Operation: 86-14=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 34, 70, 33, 20 ]
50
[ "34-33=1", "70-20=50", "1*50=50" ]
Current State: 50:[34, 70, 33, 20], Operations: [] Exploring Operation: 34-33=1, Resulting Numbers: [70, 20, 1] Generated Node #2: [70, 20, 1] from Operation: 34-33=1 Current State: 50:[70, 20, 1], Operations: ['34-33=1'] Exploring Operation: 70-20=50, Resulting Numbers: [1, 50] Generated Node #3: [1, 50] from Operation: 70-20=50 Current State: 50:[1, 50], Operations: ['34-33=1', '70-20=50'] Exploring Operation: 1*50=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 61, 3, 11, 1 ]
18
[ "61+11=72", "3+1=4", "72/4=18" ]
Current State: 18:[61, 3, 11, 1], Operations: [] Exploring Operation: 61+11=72, Resulting Numbers: [3, 1, 72] Generated Node #2: [3, 1, 72] from Operation: 61+11=72 Current State: 18:[3, 1, 72], Operations: ['61+11=72'] Exploring Operation: 3+1=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 3+1=4 Current State: 18:[72, 4], Operations: ['61+11=72', '3+1=4'] Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 5, 62, 1, 2 ]
67
[ "5+62=67", "2-1=1", "67*1=67" ]
Current State: 67:[5, 62, 1, 2], Operations: [] Exploring Operation: 5+62=67, Resulting Numbers: [1, 2, 67] Generated Node #2: [1, 2, 67] from Operation: 5+62=67 Current State: 67:[1, 2, 67], Operations: ['5+62=67'] Exploring Operation: 2-1=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 2-1=1 Current State: 67:[67, 1], Operations: ['5+62=67', '2-1=1'] Exploring Operation: 67*1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 96, 78, 42, 2 ]
51
[ "96-78=18", "18/2=9", "42+9=51" ]
Current State: 51:[96, 78, 42, 2], Operations: [] Exploring Operation: 96-78=18, Resulting Numbers: [42, 2, 18] Generated Node #2: [42, 2, 18] from Operation: 96-78=18 Current State: 51:[42, 2, 18], Operations: ['96-78=18'] Exploring Operation: 18/2=9, Resulting Numbers: [42, 9] Generated Node #3: [42, 9] from Operation: 18/2=9 Current State: 51:[42, 9], Operations: ['96-78=18', '18/2=9'] Exploring Operation: 42+9=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 24, 88, 36, 42 ]
22
[ "42-36=6", "24/6=4", "88/4=22" ]
Current State: 22:[24, 88, 36, 42], Operations: [] Exploring Operation: 42-36=6, Resulting Numbers: [24, 88, 6] Generated Node #2: [24, 88, 6] from Operation: 42-36=6 Current State: 22:[24, 88, 6], Operations: ['42-36=6'] Exploring Operation: 24/6=4, Resulting Numbers: [88, 4] Generated Node #3: [88, 4] from Operation: 24/6=4 Current State: 22:[88, 4], Operations: ['42-36=6', '24/6=4'] Exploring Operation: 88/4=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 93, 30, 27, 7 ]
66
[ "93+30=123", "27*7=189", "189-123=66" ]
Current State: 66:[93, 30, 27, 7], Operations: [] Exploring Operation: 93+30=123, Resulting Numbers: [27, 7, 123] Generated Node #2: [27, 7, 123] from Operation: 93+30=123 Current State: 66:[27, 7, 123], Operations: ['93+30=123'] Exploring Operation: 27*7=189, Resulting Numbers: [123, 189] Generated Node #3: [123, 189] from Operation: 27*7=189 Current State: 66:[123, 189], Operations: ['93+30=123', '27*7=189'] Exploring Operation: 189-123=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 4, 74, 7, 16 ]
61
[ "74-4=70", "16-7=9", "70-9=61" ]
Current State: 61:[4, 74, 7, 16], Operations: [] Exploring Operation: 74-4=70, Resulting Numbers: [7, 16, 70] Generated Node #2: [7, 16, 70] from Operation: 74-4=70 Current State: 61:[7, 16, 70], Operations: ['74-4=70'] Exploring Operation: 16-7=9, Resulting Numbers: [70, 9] Generated Node #3: [70, 9] from Operation: 16-7=9 Current State: 61:[70, 9], Operations: ['74-4=70', '16-7=9'] Exploring Operation: 70-9=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 1, 40, 4, 9 ]
81
[ "40/4=10", "10-1=9", "9*9=81" ]
Current State: 81:[1, 40, 4, 9], Operations: [] Exploring Operation: 40/4=10, Resulting Numbers: [1, 9, 10] Generated Node #2: [1, 9, 10] from Operation: 40/4=10 Current State: 81:[1, 9, 10], Operations: ['40/4=10'] Exploring Operation: 10-1=9, Resulting Numbers: [9, 9] Generated Node #3: [9, 9] from Operation: 10-1=9 Current State: 81:[9, 9], Operations: ['40/4=10', '10-1=9'] Exploring Operation: 9*9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 26, 99, 63, 30 ]
88
[ "26+30=56", "99*56=5544", "5544/63=88" ]
Current State: 88:[26, 99, 63, 30], Operations: [] Exploring Operation: 26+30=56, Resulting Numbers: [99, 63, 56] Generated Node #2: [99, 63, 56] from Operation: 26+30=56 Current State: 88:[99, 63, 56], Operations: ['26+30=56'] Exploring Operation: 99*56=5544, Resulting Numbers: [63, 5544] Generated Node #3: [63, 5544] from Operation: 99*56=5544 Current State: 88:[63, 5544], Operations: ['26+30=56', '99*56=5544'] Exploring Operation: 5544/63=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 16, 1, 5, 22 ]
31
[ "22-16=6", "5*6=30", "1+30=31" ]
Current State: 31:[16, 1, 5, 22], Operations: [] Exploring Operation: 22-16=6, Resulting Numbers: [1, 5, 6] Generated Node #2: [1, 5, 6] from Operation: 22-16=6 Current State: 31:[1, 5, 6], Operations: ['22-16=6'] Exploring Operation: 5*6=30, Resulting Numbers: [1, 30] Generated Node #3: [1, 30] from Operation: 5*6=30 Current State: 31:[1, 30], Operations: ['22-16=6', '5*6=30'] Exploring Operation: 1+30=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 29, 3, 73, 93 ]
27
[ "29+73=102", "102-93=9", "3*9=27" ]
Current State: 27:[29, 3, 73, 93], Operations: [] Exploring Operation: 29+73=102, Resulting Numbers: [3, 93, 102] Generated Node #2: [3, 93, 102] from Operation: 29+73=102 Current State: 27:[3, 93, 102], Operations: ['29+73=102'] Exploring Operation: 102-93=9, Resulting Numbers: [3, 9] Generated Node #3: [3, 9] from Operation: 102-93=9 Current State: 27:[3, 9], Operations: ['29+73=102', '102-93=9'] Exploring Operation: 3*9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 77, 15, 89, 17 ]
75
[ "89-77=12", "17-12=5", "15*5=75" ]
Current State: 75:[77, 15, 89, 17], Operations: [] Exploring Operation: 89-77=12, Resulting Numbers: [15, 17, 12] Generated Node #2: [15, 17, 12] from Operation: 89-77=12 Current State: 75:[15, 17, 12], Operations: ['89-77=12'] Exploring Operation: 17-12=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 17-12=5 Current State: 75:[15, 5], Operations: ['89-77=12', '17-12=5'] Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 36, 67, 43, 34 ]
63
[ "43-34=9", "36/9=4", "67-4=63" ]
Current State: 63:[36, 67, 43, 34], Operations: [] Exploring Operation: 43-34=9, Resulting Numbers: [36, 67, 9] Generated Node #2: [36, 67, 9] from Operation: 43-34=9 Current State: 63:[36, 67, 9], Operations: ['43-34=9'] Exploring Operation: 36/9=4, Resulting Numbers: [67, 4] Generated Node #3: [67, 4] from Operation: 36/9=4 Current State: 63:[67, 4], Operations: ['43-34=9', '36/9=4'] Exploring Operation: 67-4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 46, 57, 3, 27 ]
74
[ "57+27=84", "84/3=28", "46+28=74" ]
Current State: 74:[46, 57, 3, 27], Operations: [] Exploring Operation: 57+27=84, Resulting Numbers: [46, 3, 84] Generated Node #2: [46, 3, 84] from Operation: 57+27=84 Current State: 74:[46, 3, 84], Operations: ['57+27=84'] Exploring Operation: 84/3=28, Resulting Numbers: [46, 28] Generated Node #3: [46, 28] from Operation: 84/3=28 Current State: 74:[46, 28], Operations: ['57+27=84', '84/3=28'] Exploring Operation: 46+28=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 8, 14, 13, 62 ]
15
[ "14*13=182", "182-62=120", "120/8=15" ]
Current State: 15:[8, 14, 13, 62], Operations: [] Exploring Operation: 14*13=182, Resulting Numbers: [8, 62, 182] Generated Node #2: [8, 62, 182] from Operation: 14*13=182 Current State: 15:[8, 62, 182], Operations: ['14*13=182'] Exploring Operation: 182-62=120, Resulting Numbers: [8, 120] Generated Node #3: [8, 120] from Operation: 182-62=120 Current State: 15:[8, 120], Operations: ['14*13=182', '182-62=120'] Exploring Operation: 120/8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 72, 21, 48, 7 ]
38
[ "72+21=93", "48+7=55", "93-55=38" ]
Current State: 38:[72, 21, 48, 7], Operations: [] Exploring Operation: 72+21=93, Resulting Numbers: [48, 7, 93] Generated Node #2: [48, 7, 93] from Operation: 72+21=93 Current State: 38:[48, 7, 93], Operations: ['72+21=93'] Exploring Operation: 48+7=55, Resulting Numbers: [93, 55] Generated Node #3: [93, 55] from Operation: 48+7=55 Current State: 38:[93, 55], Operations: ['72+21=93', '48+7=55'] Exploring Operation: 93-55=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 5, 38, 24, 29 ]
20
[ "38-5=33", "24+29=53", "53-33=20" ]
Current State: 20:[5, 38, 24, 29], Operations: [] Exploring Operation: 38-5=33, Resulting Numbers: [24, 29, 33] Generated Node #2: [24, 29, 33] from Operation: 38-5=33 Current State: 20:[24, 29, 33], Operations: ['38-5=33'] Exploring Operation: 24+29=53, Resulting Numbers: [33, 53] Generated Node #3: [33, 53] from Operation: 24+29=53 Current State: 20:[33, 53], Operations: ['38-5=33', '24+29=53'] Exploring Operation: 53-33=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 17, 80, 29, 34 ]
37
[ "80-29=51", "51/17=3", "34+3=37" ]
Current State: 37:[17, 80, 29, 34], Operations: [] Exploring Operation: 80-29=51, Resulting Numbers: [17, 34, 51] Generated Node #2: [17, 34, 51] from Operation: 80-29=51 Current State: 37:[17, 34, 51], Operations: ['80-29=51'] Exploring Operation: 51/17=3, Resulting Numbers: [34, 3] Generated Node #3: [34, 3] from Operation: 51/17=3 Current State: 37:[34, 3], Operations: ['80-29=51', '51/17=3'] Exploring Operation: 34+3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 93, 93, 2, 13 ]
27
[ "93/93=1", "2*13=26", "1+26=27" ]
Current State: 27:[93, 93, 2, 13], Operations: [] Exploring Operation: 93/93=1, Resulting Numbers: [2, 13, 1] Generated Node #2: [2, 13, 1] from Operation: 93/93=1 Current State: 27:[2, 13, 1], Operations: ['93/93=1'] Exploring Operation: 2*13=26, Resulting Numbers: [1, 26] Generated Node #3: [1, 26] from Operation: 2*13=26 Current State: 27:[1, 26], Operations: ['93/93=1', '2*13=26'] Exploring Operation: 1+26=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 87, 18, 74, 56 ]
25
[ "87+18=105", "74+56=130", "130-105=25" ]
Current State: 25:[87, 18, 74, 56], Operations: [] Exploring Operation: 87+18=105, Resulting Numbers: [74, 56, 105] Generated Node #2: [74, 56, 105] from Operation: 87+18=105 Current State: 25:[74, 56, 105], Operations: ['87+18=105'] Exploring Operation: 74+56=130, Resulting Numbers: [105, 130] Generated Node #3: [105, 130] from Operation: 74+56=130 Current State: 25:[105, 130], Operations: ['87+18=105', '74+56=130'] Exploring Operation: 130-105=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 85, 50, 92, 53 ]
75
[ "85+53=138", "50*138=6900", "6900/92=75" ]
Current State: 75:[85, 50, 92, 53], Operations: [] Exploring Operation: 85+53=138, Resulting Numbers: [50, 92, 138] Generated Node #2: [50, 92, 138] from Operation: 85+53=138 Current State: 75:[50, 92, 138], Operations: ['85+53=138'] Exploring Operation: 50*138=6900, Resulting Numbers: [92, 6900] Generated Node #3: [92, 6900] from Operation: 50*138=6900 Current State: 75:[92, 6900], Operations: ['85+53=138', '50*138=6900'] Exploring Operation: 6900/92=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4