nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
74,
28,
68,
57
] | 35 | [
"74-28=46",
"68-57=11",
"46-11=35"
] | Current State: 35:[74, 28, 68, 57], Operations: []
Exploring Operation: 74-28=46, Resulting Numbers: [68, 57, 46]
Generated Node #2: [68, 57, 46] from Operation: 74-28=46
Current State: 35:[68, 57, 46], Operations: ['74-28=46']
Exploring Operation: 68-57=11, Resulting Numbers: [46, 11]
Generated Node #3: [46, 11] from Operation: 68-57=11
Current State: 35:[46, 11], Operations: ['74-28=46', '68-57=11']
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
90,
3,
58,
22
] | 62 | [
"90+22=112",
"3*58=174",
"174-112=62"
] | Current State: 62:[90, 3, 58, 22], Operations: []
Exploring Operation: 90+22=112, Resulting Numbers: [3, 58, 112]
Generated Node #2: [3, 58, 112] from Operation: 90+22=112
Current State: 62:[3, 58, 112], Operations: ['90+22=112']
Exploring Operation: 3*58=174, Resulting Numbers: [112, 174]
Generated Node #3: [112, 174] from Operation: 3*58=174
Current State: 62:[112, 174], Operations: ['90+22=112', '3*58=174']
Exploring Operation: 174-112=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
67,
21,
42,
49
] | 58 | [
"67+49=116",
"42/21=2",
"116/2=58"
] | Current State: 58:[67, 21, 42, 49], Operations: []
Exploring Operation: 67+49=116, Resulting Numbers: [21, 42, 116]
Generated Node #2: [21, 42, 116] from Operation: 67+49=116
Current State: 58:[21, 42, 116], Operations: ['67+49=116']
Exploring Operation: 42/21=2, Resulting Numbers: [116, 2]
Generated Node #3: [116, 2] from Operation: 42/21=2
Current State: 58:[116, 2], Operations: ['67+49=116', '42/21=2']
Exploring Operation: 116/2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
55,
89,
65,
15
] | 94 | [
"55+89=144",
"65-15=50",
"144-50=94"
] | Current State: 94:[55, 89, 65, 15], Operations: []
Exploring Operation: 55+89=144, Resulting Numbers: [65, 15, 144]
Generated Node #2: [65, 15, 144] from Operation: 55+89=144
Current State: 94:[65, 15, 144], Operations: ['55+89=144']
Exploring Operation: 65-15=50, Resulting Numbers: [144, 50]
Generated Node #3: [144, 50] from Operation: 65-15=50
Current State: 94:[144, 50], Operations: ['55+89=144', '65-15=50']
Exploring Operation: 144-50=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
91,
24,
63,
65
] | 13 | [
"91+24=115",
"63+65=128",
"128-115=13"
] | Current State: 13:[91, 24, 63, 65], Operations: []
Exploring Operation: 91+24=115, Resulting Numbers: [63, 65, 115]
Generated Node #2: [63, 65, 115] from Operation: 91+24=115
Current State: 13:[63, 65, 115], Operations: ['91+24=115']
Exploring Operation: 63+65=128, Resulting Numbers: [115, 128]
Generated Node #3: [115, 128] from Operation: 63+65=128
Current State: 13:[115, 128], Operations: ['91+24=115', '63+65=128']
Exploring Operation: 128-115=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
17,
81,
67,
22
] | 97 | [
"17*81=1377",
"67*22=1474",
"1474-1377=97"
] | Current State: 97:[17, 81, 67, 22], Operations: []
Exploring Operation: 17*81=1377, Resulting Numbers: [67, 22, 1377]
Generated Node #2: [67, 22, 1377] from Operation: 17*81=1377
Current State: 97:[67, 22, 1377], Operations: ['17*81=1377']
Exploring Operation: 67*22=1474, Resulting Numbers: [1377, 1474]
Generated Node #3: [1377, 1474] from Operation: 67*22=1474
Current State: 97:[1377, 1474], Operations: ['17*81=1377', '67*22=1474']
Exploring Operation: 1474-1377=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
42,
46,
43,
38
] | 20 | [
"46-42=4",
"43-38=5",
"4*5=20"
] | Current State: 20:[42, 46, 43, 38], Operations: []
Exploring Operation: 46-42=4, Resulting Numbers: [43, 38, 4]
Generated Node #2: [43, 38, 4] from Operation: 46-42=4
Current State: 20:[43, 38, 4], Operations: ['46-42=4']
Exploring Operation: 43-38=5, Resulting Numbers: [4, 5]
Generated Node #3: [4, 5] from Operation: 43-38=5
Current State: 20:[4, 5], Operations: ['46-42=4', '43-38=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
73,
29,
78,
23
] | 30 | [
"78-73=5",
"29-23=6",
"5*6=30"
] | Current State: 30:[73, 29, 78, 23], Operations: []
Exploring Operation: 78-73=5, Resulting Numbers: [29, 23, 5]
Generated Node #2: [29, 23, 5] from Operation: 78-73=5
Current State: 30:[29, 23, 5], Operations: ['78-73=5']
Exploring Operation: 29-23=6, Resulting Numbers: [5, 6]
Generated Node #3: [5, 6] from Operation: 29-23=6
Current State: 30:[5, 6], Operations: ['78-73=5', '29-23=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
68,
54,
82,
29
] | 11 | [
"68+54=122",
"82+29=111",
"122-111=11"
] | Current State: 11:[68, 54, 82, 29], Operations: []
Exploring Operation: 68+54=122, Resulting Numbers: [82, 29, 122]
Generated Node #2: [82, 29, 122] from Operation: 68+54=122
Current State: 11:[82, 29, 122], Operations: ['68+54=122']
Exploring Operation: 82+29=111, Resulting Numbers: [122, 111]
Generated Node #3: [122, 111] from Operation: 82+29=111
Current State: 11:[122, 111], Operations: ['68+54=122', '82+29=111']
Exploring Operation: 122-111=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
18,
96,
73,
11
] | 30 | [
"18+96=114",
"73+11=84",
"114-84=30"
] | Current State: 30:[18, 96, 73, 11], Operations: []
Exploring Operation: 18+96=114, Resulting Numbers: [73, 11, 114]
Generated Node #2: [73, 11, 114] from Operation: 18+96=114
Current State: 30:[73, 11, 114], Operations: ['18+96=114']
Exploring Operation: 73+11=84, Resulting Numbers: [114, 84]
Generated Node #3: [114, 84] from Operation: 73+11=84
Current State: 30:[114, 84], Operations: ['18+96=114', '73+11=84']
Exploring Operation: 114-84=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
51,
14,
98,
40
] | 21 | [
"51-14=37",
"98-40=58",
"58-37=21"
] | Current State: 21:[51, 14, 98, 40], Operations: []
Exploring Operation: 51-14=37, Resulting Numbers: [98, 40, 37]
Generated Node #2: [98, 40, 37] from Operation: 51-14=37
Current State: 21:[98, 40, 37], Operations: ['51-14=37']
Exploring Operation: 98-40=58, Resulting Numbers: [37, 58]
Generated Node #3: [37, 58] from Operation: 98-40=58
Current State: 21:[37, 58], Operations: ['51-14=37', '98-40=58']
Exploring Operation: 58-37=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
13,
80,
25,
70
] | 19 | [
"80+70=150",
"150/25=6",
"13+6=19"
] | Current State: 19:[13, 80, 25, 70], Operations: []
Exploring Operation: 80+70=150, Resulting Numbers: [13, 25, 150]
Generated Node #2: [13, 25, 150] from Operation: 80+70=150
Current State: 19:[13, 25, 150], Operations: ['80+70=150']
Exploring Operation: 150/25=6, Resulting Numbers: [13, 6]
Generated Node #3: [13, 6] from Operation: 150/25=6
Current State: 19:[13, 6], Operations: ['80+70=150', '150/25=6']
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
40,
99,
22,
35
] | 11 | [
"40-35=5",
"22*5=110",
"110-99=11"
] | Current State: 11:[40, 99, 22, 35], Operations: []
Exploring Operation: 40-35=5, Resulting Numbers: [99, 22, 5]
Generated Node #2: [99, 22, 5] from Operation: 40-35=5
Current State: 11:[99, 22, 5], Operations: ['40-35=5']
Exploring Operation: 22*5=110, Resulting Numbers: [99, 110]
Generated Node #3: [99, 110] from Operation: 22*5=110
Current State: 11:[99, 110], Operations: ['40-35=5', '22*5=110']
Exploring Operation: 110-99=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
48,
60,
7,
72
] | 97 | [
"60*72=4320",
"4320/48=90",
"7+90=97"
] | Current State: 97:[48, 60, 7, 72], Operations: []
Exploring Operation: 60*72=4320, Resulting Numbers: [48, 7, 4320]
Generated Node #2: [48, 7, 4320] from Operation: 60*72=4320
Current State: 97:[48, 7, 4320], Operations: ['60*72=4320']
Exploring Operation: 4320/48=90, Resulting Numbers: [7, 90]
Generated Node #3: [7, 90] from Operation: 4320/48=90
Current State: 97:[7, 90], Operations: ['60*72=4320', '4320/48=90']
Exploring Operation: 7+90=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
86,
77,
53,
35
] | 79 | [
"86-77=9",
"53+35=88",
"88-9=79"
] | Current State: 79:[86, 77, 53, 35], Operations: []
Exploring Operation: 86-77=9, Resulting Numbers: [53, 35, 9]
Generated Node #2: [53, 35, 9] from Operation: 86-77=9
Current State: 79:[53, 35, 9], Operations: ['86-77=9']
Exploring Operation: 53+35=88, Resulting Numbers: [9, 88]
Generated Node #3: [9, 88] from Operation: 53+35=88
Current State: 79:[9, 88], Operations: ['86-77=9', '53+35=88']
Exploring Operation: 88-9=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
73,
47,
88,
42
] | 75 | [
"88-73=15",
"47-42=5",
"15*5=75"
] | Current State: 75:[73, 47, 88, 42], Operations: []
Exploring Operation: 88-73=15, Resulting Numbers: [47, 42, 15]
Generated Node #2: [47, 42, 15] from Operation: 88-73=15
Current State: 75:[47, 42, 15], Operations: ['88-73=15']
Exploring Operation: 47-42=5, Resulting Numbers: [15, 5]
Generated Node #3: [15, 5] from Operation: 47-42=5
Current State: 75:[15, 5], Operations: ['88-73=15', '47-42=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
79,
77,
48,
49
] | 47 | [
"79-77=2",
"48*2=96",
"96-49=47"
] | Current State: 47:[79, 77, 48, 49], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [48, 49, 2]
Generated Node #2: [48, 49, 2] from Operation: 79-77=2
Current State: 47:[48, 49, 2], Operations: ['79-77=2']
Exploring Operation: 48*2=96, Resulting Numbers: [49, 96]
Generated Node #3: [49, 96] from Operation: 48*2=96
Current State: 47:[49, 96], Operations: ['79-77=2', '48*2=96']
Exploring Operation: 96-49=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
8,
81,
93,
80
] | 85 | [
"93-8=85",
"81-80=1",
"85*1=85"
] | Current State: 85:[8, 81, 93, 80], Operations: []
Exploring Operation: 93-8=85, Resulting Numbers: [81, 80, 85]
Generated Node #2: [81, 80, 85] from Operation: 93-8=85
Current State: 85:[81, 80, 85], Operations: ['93-8=85']
Exploring Operation: 81-80=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 81-80=1
Current State: 85:[85, 1], Operations: ['93-8=85', '81-80=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
3,
24,
80,
50
] | 51 | [
"24-3=21",
"80-50=30",
"21+30=51"
] | Current State: 51:[3, 24, 80, 50], Operations: []
Exploring Operation: 24-3=21, Resulting Numbers: [80, 50, 21]
Generated Node #2: [80, 50, 21] from Operation: 24-3=21
Current State: 51:[80, 50, 21], Operations: ['24-3=21']
Exploring Operation: 80-50=30, Resulting Numbers: [21, 30]
Generated Node #3: [21, 30] from Operation: 80-50=30
Current State: 51:[21, 30], Operations: ['24-3=21', '80-50=30']
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
51,
19,
17,
52
] | 53 | [
"19-17=2",
"52*2=104",
"104-51=53"
] | Current State: 53:[51, 19, 17, 52], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [51, 52, 2]
Generated Node #2: [51, 52, 2] from Operation: 19-17=2
Current State: 53:[51, 52, 2], Operations: ['19-17=2']
Exploring Operation: 52*2=104, Resulting Numbers: [51, 104]
Generated Node #3: [51, 104] from Operation: 52*2=104
Current State: 53:[51, 104], Operations: ['19-17=2', '52*2=104']
Exploring Operation: 104-51=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
27,
80,
83,
9
] | 81 | [
"27*9=243",
"83-80=3",
"243/3=81"
] | Current State: 81:[27, 80, 83, 9], Operations: []
Exploring Operation: 27*9=243, Resulting Numbers: [80, 83, 243]
Generated Node #2: [80, 83, 243] from Operation: 27*9=243
Current State: 81:[80, 83, 243], Operations: ['27*9=243']
Exploring Operation: 83-80=3, Resulting Numbers: [243, 3]
Generated Node #3: [243, 3] from Operation: 83-80=3
Current State: 81:[243, 3], Operations: ['27*9=243', '83-80=3']
Exploring Operation: 243/3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
49,
96,
98,
71
] | 46 | [
"98/49=2",
"71*2=142",
"142-96=46"
] | Current State: 46:[49, 96, 98, 71], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [96, 71, 2]
Generated Node #2: [96, 71, 2] from Operation: 98/49=2
Current State: 46:[96, 71, 2], Operations: ['98/49=2']
Exploring Operation: 71*2=142, Resulting Numbers: [96, 142]
Generated Node #3: [96, 142] from Operation: 71*2=142
Current State: 46:[96, 142], Operations: ['98/49=2', '71*2=142']
Exploring Operation: 142-96=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
50,
87,
25,
66
] | 78 | [
"87-50=37",
"66-25=41",
"37+41=78"
] | Current State: 78:[50, 87, 25, 66], Operations: []
Exploring Operation: 87-50=37, Resulting Numbers: [25, 66, 37]
Generated Node #2: [25, 66, 37] from Operation: 87-50=37
Current State: 78:[25, 66, 37], Operations: ['87-50=37']
Exploring Operation: 66-25=41, Resulting Numbers: [37, 41]
Generated Node #3: [37, 41] from Operation: 66-25=41
Current State: 78:[37, 41], Operations: ['87-50=37', '66-25=41']
Exploring Operation: 37+41=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
63,
3,
20,
54
] | 13 | [
"63/3=21",
"54-20=34",
"34-21=13"
] | Current State: 13:[63, 3, 20, 54], Operations: []
Exploring Operation: 63/3=21, Resulting Numbers: [20, 54, 21]
Generated Node #2: [20, 54, 21] from Operation: 63/3=21
Current State: 13:[20, 54, 21], Operations: ['63/3=21']
Exploring Operation: 54-20=34, Resulting Numbers: [21, 34]
Generated Node #3: [21, 34] from Operation: 54-20=34
Current State: 13:[21, 34], Operations: ['63/3=21', '54-20=34']
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
96,
74,
24,
97
] | 96 | [
"74+24=98",
"98-97=1",
"96*1=96"
] | Current State: 96:[96, 74, 24, 97], Operations: []
Exploring Operation: 74+24=98, Resulting Numbers: [96, 97, 98]
Generated Node #2: [96, 97, 98] from Operation: 74+24=98
Current State: 96:[96, 97, 98], Operations: ['74+24=98']
Exploring Operation: 98-97=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 98-97=1
Current State: 96:[96, 1], Operations: ['74+24=98', '98-97=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
52,
99,
8,
69
] | 31 | [
"99+69=168",
"168/8=21",
"52-21=31"
] | Current State: 31:[52, 99, 8, 69], Operations: []
Exploring Operation: 99+69=168, Resulting Numbers: [52, 8, 168]
Generated Node #2: [52, 8, 168] from Operation: 99+69=168
Current State: 31:[52, 8, 168], Operations: ['99+69=168']
Exploring Operation: 168/8=21, Resulting Numbers: [52, 21]
Generated Node #3: [52, 21] from Operation: 168/8=21
Current State: 31:[52, 21], Operations: ['99+69=168', '168/8=21']
Exploring Operation: 52-21=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
1,
23,
97,
68
] | 100 | [
"1+68=69",
"69/23=3",
"97+3=100"
] | Current State: 100:[1, 23, 97, 68], Operations: []
Exploring Operation: 1+68=69, Resulting Numbers: [23, 97, 69]
Generated Node #2: [23, 97, 69] from Operation: 1+68=69
Current State: 100:[23, 97, 69], Operations: ['1+68=69']
Exploring Operation: 69/23=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 69/23=3
Current State: 100:[97, 3], Operations: ['1+68=69', '69/23=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
60,
80,
19,
69
] | 73 | [
"80*69=5520",
"5520/60=92",
"92-19=73"
] | Current State: 73:[60, 80, 19, 69], Operations: []
Exploring Operation: 80*69=5520, Resulting Numbers: [60, 19, 5520]
Generated Node #2: [60, 19, 5520] from Operation: 80*69=5520
Current State: 73:[60, 19, 5520], Operations: ['80*69=5520']
Exploring Operation: 5520/60=92, Resulting Numbers: [19, 92]
Generated Node #3: [19, 92] from Operation: 5520/60=92
Current State: 73:[19, 92], Operations: ['80*69=5520', '5520/60=92']
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
53,
29,
24,
52
] | 54 | [
"53+29=82",
"52-24=28",
"82-28=54"
] | Current State: 54:[53, 29, 24, 52], Operations: []
Exploring Operation: 53+29=82, Resulting Numbers: [24, 52, 82]
Generated Node #2: [24, 52, 82] from Operation: 53+29=82
Current State: 54:[24, 52, 82], Operations: ['53+29=82']
Exploring Operation: 52-24=28, Resulting Numbers: [82, 28]
Generated Node #3: [82, 28] from Operation: 52-24=28
Current State: 54:[82, 28], Operations: ['53+29=82', '52-24=28']
Exploring Operation: 82-28=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
37,
5,
62,
44
] | 97 | [
"44-37=7",
"5*7=35",
"62+35=97"
] | Current State: 97:[37, 5, 62, 44], Operations: []
Exploring Operation: 44-37=7, Resulting Numbers: [5, 62, 7]
Generated Node #2: [5, 62, 7] from Operation: 44-37=7
Current State: 97:[5, 62, 7], Operations: ['44-37=7']
Exploring Operation: 5*7=35, Resulting Numbers: [62, 35]
Generated Node #3: [62, 35] from Operation: 5*7=35
Current State: 97:[62, 35], Operations: ['44-37=7', '5*7=35']
Exploring Operation: 62+35=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
6,
17,
73,
58
] | 43 | [
"17+73=90",
"90/6=15",
"58-15=43"
] | Current State: 43:[6, 17, 73, 58], Operations: []
Exploring Operation: 17+73=90, Resulting Numbers: [6, 58, 90]
Generated Node #2: [6, 58, 90] from Operation: 17+73=90
Current State: 43:[6, 58, 90], Operations: ['17+73=90']
Exploring Operation: 90/6=15, Resulting Numbers: [58, 15]
Generated Node #3: [58, 15] from Operation: 90/6=15
Current State: 43:[58, 15], Operations: ['17+73=90', '90/6=15']
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
34,
35,
15,
2
] | 31 | [
"35-34=1",
"15*2=30",
"1+30=31"
] | Current State: 31:[34, 35, 15, 2], Operations: []
Exploring Operation: 35-34=1, Resulting Numbers: [15, 2, 1]
Generated Node #2: [15, 2, 1] from Operation: 35-34=1
Current State: 31:[15, 2, 1], Operations: ['35-34=1']
Exploring Operation: 15*2=30, Resulting Numbers: [1, 30]
Generated Node #3: [1, 30] from Operation: 15*2=30
Current State: 31:[1, 30], Operations: ['35-34=1', '15*2=30']
Exploring Operation: 1+30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
85,
34,
9,
18
] | 53 | [
"85-34=51",
"18/9=2",
"51+2=53"
] | Current State: 53:[85, 34, 9, 18], Operations: []
Exploring Operation: 85-34=51, Resulting Numbers: [9, 18, 51]
Generated Node #2: [9, 18, 51] from Operation: 85-34=51
Current State: 53:[9, 18, 51], Operations: ['85-34=51']
Exploring Operation: 18/9=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 18/9=2
Current State: 53:[51, 2], Operations: ['85-34=51', '18/9=2']
Exploring Operation: 51+2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
40,
32,
22,
77
] | 72 | [
"32*77=2464",
"2464/22=112",
"112-40=72"
] | Current State: 72:[40, 32, 22, 77], Operations: []
Exploring Operation: 32*77=2464, Resulting Numbers: [40, 22, 2464]
Generated Node #2: [40, 22, 2464] from Operation: 32*77=2464
Current State: 72:[40, 22, 2464], Operations: ['32*77=2464']
Exploring Operation: 2464/22=112, Resulting Numbers: [40, 112]
Generated Node #3: [40, 112] from Operation: 2464/22=112
Current State: 72:[40, 112], Operations: ['32*77=2464', '2464/22=112']
Exploring Operation: 112-40=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
87,
16,
82,
59
] | 70 | [
"87-16=71",
"82+59=141",
"141-71=70"
] | Current State: 70:[87, 16, 82, 59], Operations: []
Exploring Operation: 87-16=71, Resulting Numbers: [82, 59, 71]
Generated Node #2: [82, 59, 71] from Operation: 87-16=71
Current State: 70:[82, 59, 71], Operations: ['87-16=71']
Exploring Operation: 82+59=141, Resulting Numbers: [71, 141]
Generated Node #3: [71, 141] from Operation: 82+59=141
Current State: 70:[71, 141], Operations: ['87-16=71', '82+59=141']
Exploring Operation: 141-71=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
62,
67,
44,
6
] | 43 | [
"67-62=5",
"44-6=38",
"5+38=43"
] | Current State: 43:[62, 67, 44, 6], Operations: []
Exploring Operation: 67-62=5, Resulting Numbers: [44, 6, 5]
Generated Node #2: [44, 6, 5] from Operation: 67-62=5
Current State: 43:[44, 6, 5], Operations: ['67-62=5']
Exploring Operation: 44-6=38, Resulting Numbers: [5, 38]
Generated Node #3: [5, 38] from Operation: 44-6=38
Current State: 43:[5, 38], Operations: ['67-62=5', '44-6=38']
Exploring Operation: 5+38=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
89,
10,
3,
10
] | 66 | [
"89-10=79",
"3+10=13",
"79-13=66"
] | Current State: 66:[89, 10, 3, 10], Operations: []
Exploring Operation: 89-10=79, Resulting Numbers: [3, 79]
Generated Node #2: [3, 79] from Operation: 89-10=79
Current State: 66:[3, 79], Operations: ['89-10=79']
Exploring Operation: 3+10=13, Resulting Numbers: [79, 13]
Generated Node #3: [79, 13] from Operation: 3+10=13
Current State: 66:[79, 13], Operations: ['89-10=79', '3+10=13']
Exploring Operation: 79-13=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
3,
67,
47,
64
] | 41 | [
"3+67=70",
"47+64=111",
"111-70=41"
] | Current State: 41:[3, 67, 47, 64], Operations: []
Exploring Operation: 3+67=70, Resulting Numbers: [47, 64, 70]
Generated Node #2: [47, 64, 70] from Operation: 3+67=70
Current State: 41:[47, 64, 70], Operations: ['3+67=70']
Exploring Operation: 47+64=111, Resulting Numbers: [70, 111]
Generated Node #3: [70, 111] from Operation: 47+64=111
Current State: 41:[70, 111], Operations: ['3+67=70', '47+64=111']
Exploring Operation: 111-70=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
35,
43,
71,
32
] | 75 | [
"43-35=8",
"32/8=4",
"71+4=75"
] | Current State: 75:[35, 43, 71, 32], Operations: []
Exploring Operation: 43-35=8, Resulting Numbers: [71, 32, 8]
Generated Node #2: [71, 32, 8] from Operation: 43-35=8
Current State: 75:[71, 32, 8], Operations: ['43-35=8']
Exploring Operation: 32/8=4, Resulting Numbers: [71, 4]
Generated Node #3: [71, 4] from Operation: 32/8=4
Current State: 75:[71, 4], Operations: ['43-35=8', '32/8=4']
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
5,
70,
54,
52
] | 73 | [
"5+70=75",
"54-52=2",
"75-2=73"
] | Current State: 73:[5, 70, 54, 52], Operations: []
Exploring Operation: 5+70=75, Resulting Numbers: [54, 52, 75]
Generated Node #2: [54, 52, 75] from Operation: 5+70=75
Current State: 73:[54, 52, 75], Operations: ['5+70=75']
Exploring Operation: 54-52=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 54-52=2
Current State: 73:[75, 2], Operations: ['5+70=75', '54-52=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
94,
86,
6,
2
] | 16 | [
"94-86=8",
"6+2=8",
"8+8=16"
] | Current State: 16:[94, 86, 6, 2], Operations: []
Exploring Operation: 94-86=8, Resulting Numbers: [6, 2, 8]
Generated Node #2: [6, 2, 8] from Operation: 94-86=8
Current State: 16:[6, 2, 8], Operations: ['94-86=8']
Exploring Operation: 6+2=8, Resulting Numbers: [8, 8]
Generated Node #3: [8, 8] from Operation: 6+2=8
Current State: 16:[8, 8], Operations: ['94-86=8', '6+2=8']
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
2,
31,
15,
98
] | 90 | [
"31-15=16",
"16/2=8",
"98-8=90"
] | Current State: 90:[2, 31, 15, 98], Operations: []
Exploring Operation: 31-15=16, Resulting Numbers: [2, 98, 16]
Generated Node #2: [2, 98, 16] from Operation: 31-15=16
Current State: 90:[2, 98, 16], Operations: ['31-15=16']
Exploring Operation: 16/2=8, Resulting Numbers: [98, 8]
Generated Node #3: [98, 8] from Operation: 16/2=8
Current State: 90:[98, 8], Operations: ['31-15=16', '16/2=8']
Exploring Operation: 98-8=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
45,
9,
32,
7
] | 47 | [
"9+7=16",
"32/16=2",
"45+2=47"
] | Current State: 47:[45, 9, 32, 7], Operations: []
Exploring Operation: 9+7=16, Resulting Numbers: [45, 32, 16]
Generated Node #2: [45, 32, 16] from Operation: 9+7=16
Current State: 47:[45, 32, 16], Operations: ['9+7=16']
Exploring Operation: 32/16=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 32/16=2
Current State: 47:[45, 2], Operations: ['9+7=16', '32/16=2']
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
37,
74,
41,
8
] | 31 | [
"74/37=2",
"41-8=33",
"33-2=31"
] | Current State: 31:[37, 74, 41, 8], Operations: []
Exploring Operation: 74/37=2, Resulting Numbers: [41, 8, 2]
Generated Node #2: [41, 8, 2] from Operation: 74/37=2
Current State: 31:[41, 8, 2], Operations: ['74/37=2']
Exploring Operation: 41-8=33, Resulting Numbers: [2, 33]
Generated Node #3: [2, 33] from Operation: 41-8=33
Current State: 31:[2, 33], Operations: ['74/37=2', '41-8=33']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
64,
63,
63,
98
] | 64 | [
"63-63=0",
"98*0=0",
"64+0=64"
] | Current State: 64:[64, 63, 63, 98], Operations: []
Exploring Operation: 63-63=0, Resulting Numbers: [64, 98, 0]
Generated Node #2: [64, 98, 0] from Operation: 63-63=0
Current State: 64:[64, 98, 0], Operations: ['63-63=0']
Exploring Operation: 98*0=0, Resulting Numbers: [64, 0]
Generated Node #3: [64, 0] from Operation: 98*0=0
Current State: 64:[64, 0], Operations: ['63-63=0', '98*0=0']
Exploring Operation: 64+0=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
42,
81,
63,
2
] | 48 | [
"81-42=39",
"63-39=24",
"2*24=48"
] | Current State: 48:[42, 81, 63, 2], Operations: []
Exploring Operation: 81-42=39, Resulting Numbers: [63, 2, 39]
Generated Node #2: [63, 2, 39] from Operation: 81-42=39
Current State: 48:[63, 2, 39], Operations: ['81-42=39']
Exploring Operation: 63-39=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 63-39=24
Current State: 48:[2, 24], Operations: ['81-42=39', '63-39=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
98,
31,
43,
4
] | 69 | [
"98-43=55",
"31*4=124",
"124-55=69"
] | Current State: 69:[98, 31, 43, 4], Operations: []
Exploring Operation: 98-43=55, Resulting Numbers: [31, 4, 55]
Generated Node #2: [31, 4, 55] from Operation: 98-43=55
Current State: 69:[31, 4, 55], Operations: ['98-43=55']
Exploring Operation: 31*4=124, Resulting Numbers: [55, 124]
Generated Node #3: [55, 124] from Operation: 31*4=124
Current State: 69:[55, 124], Operations: ['98-43=55', '31*4=124']
Exploring Operation: 124-55=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
56,
61,
11,
15
] | 75 | [
"15-11=4",
"56/4=14",
"61+14=75"
] | Current State: 75:[56, 61, 11, 15], Operations: []
Exploring Operation: 15-11=4, Resulting Numbers: [56, 61, 4]
Generated Node #2: [56, 61, 4] from Operation: 15-11=4
Current State: 75:[56, 61, 4], Operations: ['15-11=4']
Exploring Operation: 56/4=14, Resulting Numbers: [61, 14]
Generated Node #3: [61, 14] from Operation: 56/4=14
Current State: 75:[61, 14], Operations: ['15-11=4', '56/4=14']
Exploring Operation: 61+14=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
81,
65,
5,
78
] | 87 | [
"65/5=13",
"78/13=6",
"81+6=87"
] | Current State: 87:[81, 65, 5, 78], Operations: []
Exploring Operation: 65/5=13, Resulting Numbers: [81, 78, 13]
Generated Node #2: [81, 78, 13] from Operation: 65/5=13
Current State: 87:[81, 78, 13], Operations: ['65/5=13']
Exploring Operation: 78/13=6, Resulting Numbers: [81, 6]
Generated Node #3: [81, 6] from Operation: 78/13=6
Current State: 87:[81, 6], Operations: ['65/5=13', '78/13=6']
Exploring Operation: 81+6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
42,
55,
4,
16
] | 12 | [
"55-42=13",
"16-13=3",
"4*3=12"
] | Current State: 12:[42, 55, 4, 16], Operations: []
Exploring Operation: 55-42=13, Resulting Numbers: [4, 16, 13]
Generated Node #2: [4, 16, 13] from Operation: 55-42=13
Current State: 12:[4, 16, 13], Operations: ['55-42=13']
Exploring Operation: 16-13=3, Resulting Numbers: [4, 3]
Generated Node #3: [4, 3] from Operation: 16-13=3
Current State: 12:[4, 3], Operations: ['55-42=13', '16-13=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
9,
27,
27,
81
] | 13 | [
"27+81=108",
"108/27=4",
"9+4=13"
] | Current State: 13:[9, 27, 27, 81], Operations: []
Exploring Operation: 27+81=108, Resulting Numbers: [9, 108]
Generated Node #2: [9, 108] from Operation: 27+81=108
Current State: 13:[9, 108], Operations: ['27+81=108']
Exploring Operation: 108/27=4, Resulting Numbers: [9, 4]
Generated Node #3: [9, 4] from Operation: 108/27=4
Current State: 13:[9, 4], Operations: ['27+81=108', '108/27=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
63,
48,
64,
36
] | 64 | [
"63*64=4032",
"4032/36=112",
"112-48=64"
] | Current State: 64:[63, 48, 64, 36], Operations: []
Exploring Operation: 63*64=4032, Resulting Numbers: [48, 36, 4032]
Generated Node #2: [48, 36, 4032] from Operation: 63*64=4032
Current State: 64:[48, 36, 4032], Operations: ['63*64=4032']
Exploring Operation: 4032/36=112, Resulting Numbers: [48, 112]
Generated Node #3: [48, 112] from Operation: 4032/36=112
Current State: 64:[48, 112], Operations: ['63*64=4032', '4032/36=112']
Exploring Operation: 112-48=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
58,
4,
9,
40
] | 85 | [
"58-4=54",
"40-9=31",
"54+31=85"
] | Current State: 85:[58, 4, 9, 40], Operations: []
Exploring Operation: 58-4=54, Resulting Numbers: [9, 40, 54]
Generated Node #2: [9, 40, 54] from Operation: 58-4=54
Current State: 85:[9, 40, 54], Operations: ['58-4=54']
Exploring Operation: 40-9=31, Resulting Numbers: [54, 31]
Generated Node #3: [54, 31] from Operation: 40-9=31
Current State: 85:[54, 31], Operations: ['58-4=54', '40-9=31']
Exploring Operation: 54+31=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
55,
85,
10,
86
] | 44 | [
"55+85=140",
"10+86=96",
"140-96=44"
] | Current State: 44:[55, 85, 10, 86], Operations: []
Exploring Operation: 55+85=140, Resulting Numbers: [10, 86, 140]
Generated Node #2: [10, 86, 140] from Operation: 55+85=140
Current State: 44:[10, 86, 140], Operations: ['55+85=140']
Exploring Operation: 10+86=96, Resulting Numbers: [140, 96]
Generated Node #3: [140, 96] from Operation: 10+86=96
Current State: 44:[140, 96], Operations: ['55+85=140', '10+86=96']
Exploring Operation: 140-96=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
22,
2,
36,
7
] | 96 | [
"36-22=14",
"7*14=98",
"98-2=96"
] | Current State: 96:[22, 2, 36, 7], Operations: []
Exploring Operation: 36-22=14, Resulting Numbers: [2, 7, 14]
Generated Node #2: [2, 7, 14] from Operation: 36-22=14
Current State: 96:[2, 7, 14], Operations: ['36-22=14']
Exploring Operation: 7*14=98, Resulting Numbers: [2, 98]
Generated Node #3: [2, 98] from Operation: 7*14=98
Current State: 96:[2, 98], Operations: ['36-22=14', '7*14=98']
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
70,
42,
13,
56
] | 76 | [
"70-13=57",
"56*57=3192",
"3192/42=76"
] | Current State: 76:[70, 42, 13, 56], Operations: []
Exploring Operation: 70-13=57, Resulting Numbers: [42, 56, 57]
Generated Node #2: [42, 56, 57] from Operation: 70-13=57
Current State: 76:[42, 56, 57], Operations: ['70-13=57']
Exploring Operation: 56*57=3192, Resulting Numbers: [42, 3192]
Generated Node #3: [42, 3192] from Operation: 56*57=3192
Current State: 76:[42, 3192], Operations: ['70-13=57', '56*57=3192']
Exploring Operation: 3192/42=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
26,
66,
32,
29
] | 64 | [
"26+32=58",
"58/29=2",
"66-2=64"
] | Current State: 64:[26, 66, 32, 29], Operations: []
Exploring Operation: 26+32=58, Resulting Numbers: [66, 29, 58]
Generated Node #2: [66, 29, 58] from Operation: 26+32=58
Current State: 64:[66, 29, 58], Operations: ['26+32=58']
Exploring Operation: 58/29=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 58/29=2
Current State: 64:[66, 2], Operations: ['26+32=58', '58/29=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
82,
79,
90,
68
] | 41 | [
"82*79=6478",
"90+68=158",
"6478/158=41"
] | Current State: 41:[82, 79, 90, 68], Operations: []
Exploring Operation: 82*79=6478, Resulting Numbers: [90, 68, 6478]
Generated Node #2: [90, 68, 6478] from Operation: 82*79=6478
Current State: 41:[90, 68, 6478], Operations: ['82*79=6478']
Exploring Operation: 90+68=158, Resulting Numbers: [6478, 158]
Generated Node #3: [6478, 158] from Operation: 90+68=158
Current State: 41:[6478, 158], Operations: ['82*79=6478', '90+68=158']
Exploring Operation: 6478/158=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
2,
14,
2,
25
] | 35 | [
"14-2=12",
"25-2=23",
"12+23=35"
] | Current State: 35:[2, 14, 2, 25], Operations: []
Exploring Operation: 14-2=12, Resulting Numbers: [25, 12]
Generated Node #2: [25, 12] from Operation: 14-2=12
Current State: 35:[25, 12], Operations: ['14-2=12']
Exploring Operation: 25-2=23, Resulting Numbers: [12, 23]
Generated Node #3: [12, 23] from Operation: 25-2=23
Current State: 35:[12, 23], Operations: ['14-2=12', '25-2=23']
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
72,
76,
10,
48
] | 22 | [
"76-72=4",
"48/4=12",
"10+12=22"
] | Current State: 22:[72, 76, 10, 48], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [10, 48, 4]
Generated Node #2: [10, 48, 4] from Operation: 76-72=4
Current State: 22:[10, 48, 4], Operations: ['76-72=4']
Exploring Operation: 48/4=12, Resulting Numbers: [10, 12]
Generated Node #3: [10, 12] from Operation: 48/4=12
Current State: 22:[10, 12], Operations: ['76-72=4', '48/4=12']
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
65,
53,
47,
7
] | 37 | [
"65-53=12",
"7*12=84",
"84-47=37"
] | Current State: 37:[65, 53, 47, 7], Operations: []
Exploring Operation: 65-53=12, Resulting Numbers: [47, 7, 12]
Generated Node #2: [47, 7, 12] from Operation: 65-53=12
Current State: 37:[47, 7, 12], Operations: ['65-53=12']
Exploring Operation: 7*12=84, Resulting Numbers: [47, 84]
Generated Node #3: [47, 84] from Operation: 7*12=84
Current State: 37:[47, 84], Operations: ['65-53=12', '7*12=84']
Exploring Operation: 84-47=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
89,
23,
60,
77
] | 95 | [
"89+23=112",
"77-60=17",
"112-17=95"
] | Current State: 95:[89, 23, 60, 77], Operations: []
Exploring Operation: 89+23=112, Resulting Numbers: [60, 77, 112]
Generated Node #2: [60, 77, 112] from Operation: 89+23=112
Current State: 95:[60, 77, 112], Operations: ['89+23=112']
Exploring Operation: 77-60=17, Resulting Numbers: [112, 17]
Generated Node #3: [112, 17] from Operation: 77-60=17
Current State: 95:[112, 17], Operations: ['89+23=112', '77-60=17']
Exploring Operation: 112-17=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
71,
48,
20,
72
] | 69 | [
"71-48=23",
"20+72=92",
"92-23=69"
] | Current State: 69:[71, 48, 20, 72], Operations: []
Exploring Operation: 71-48=23, Resulting Numbers: [20, 72, 23]
Generated Node #2: [20, 72, 23] from Operation: 71-48=23
Current State: 69:[20, 72, 23], Operations: ['71-48=23']
Exploring Operation: 20+72=92, Resulting Numbers: [23, 92]
Generated Node #3: [23, 92] from Operation: 20+72=92
Current State: 69:[23, 92], Operations: ['71-48=23', '20+72=92']
Exploring Operation: 92-23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
14,
15,
7,
26
] | 96 | [
"26-14=12",
"15-7=8",
"12*8=96"
] | Current State: 96:[14, 15, 7, 26], Operations: []
Exploring Operation: 26-14=12, Resulting Numbers: [15, 7, 12]
Generated Node #2: [15, 7, 12] from Operation: 26-14=12
Current State: 96:[15, 7, 12], Operations: ['26-14=12']
Exploring Operation: 15-7=8, Resulting Numbers: [12, 8]
Generated Node #3: [12, 8] from Operation: 15-7=8
Current State: 96:[12, 8], Operations: ['26-14=12', '15-7=8']
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
2,
80,
65,
1
] | 16 | [
"2+80=82",
"65+1=66",
"82-66=16"
] | Current State: 16:[2, 80, 65, 1], Operations: []
Exploring Operation: 2+80=82, Resulting Numbers: [65, 1, 82]
Generated Node #2: [65, 1, 82] from Operation: 2+80=82
Current State: 16:[65, 1, 82], Operations: ['2+80=82']
Exploring Operation: 65+1=66, Resulting Numbers: [82, 66]
Generated Node #3: [82, 66] from Operation: 65+1=66
Current State: 16:[82, 66], Operations: ['2+80=82', '65+1=66']
Exploring Operation: 82-66=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
7,
2,
8,
67
] | 64 | [
"7-2=5",
"67-8=59",
"5+59=64"
] | Current State: 64:[7, 2, 8, 67], Operations: []
Exploring Operation: 7-2=5, Resulting Numbers: [8, 67, 5]
Generated Node #2: [8, 67, 5] from Operation: 7-2=5
Current State: 64:[8, 67, 5], Operations: ['7-2=5']
Exploring Operation: 67-8=59, Resulting Numbers: [5, 59]
Generated Node #3: [5, 59] from Operation: 67-8=59
Current State: 64:[5, 59], Operations: ['7-2=5', '67-8=59']
Exploring Operation: 5+59=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
5,
27,
56,
36
] | 43 | [
"5*27=135",
"56+36=92",
"135-92=43"
] | Current State: 43:[5, 27, 56, 36], Operations: []
Exploring Operation: 5*27=135, Resulting Numbers: [56, 36, 135]
Generated Node #2: [56, 36, 135] from Operation: 5*27=135
Current State: 43:[56, 36, 135], Operations: ['5*27=135']
Exploring Operation: 56+36=92, Resulting Numbers: [135, 92]
Generated Node #3: [135, 92] from Operation: 56+36=92
Current State: 43:[135, 92], Operations: ['5*27=135', '56+36=92']
Exploring Operation: 135-92=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
31,
71,
37,
39
] | 74 | [
"71*39=2769",
"2769-31=2738",
"2738/37=74"
] | Current State: 74:[31, 71, 37, 39], Operations: []
Exploring Operation: 71*39=2769, Resulting Numbers: [31, 37, 2769]
Generated Node #2: [31, 37, 2769] from Operation: 71*39=2769
Current State: 74:[31, 37, 2769], Operations: ['71*39=2769']
Exploring Operation: 2769-31=2738, Resulting Numbers: [37, 2738]
Generated Node #3: [37, 2738] from Operation: 2769-31=2738
Current State: 74:[37, 2738], Operations: ['71*39=2769', '2769-31=2738']
Exploring Operation: 2738/37=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
23,
46,
24,
41
] | 34 | [
"46/23=2",
"41-24=17",
"2*17=34"
] | Current State: 34:[23, 46, 24, 41], Operations: []
Exploring Operation: 46/23=2, Resulting Numbers: [24, 41, 2]
Generated Node #2: [24, 41, 2] from Operation: 46/23=2
Current State: 34:[24, 41, 2], Operations: ['46/23=2']
Exploring Operation: 41-24=17, Resulting Numbers: [2, 17]
Generated Node #3: [2, 17] from Operation: 41-24=17
Current State: 34:[2, 17], Operations: ['46/23=2', '41-24=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
14,
1,
42,
57
] | 28 | [
"14-1=13",
"57-42=15",
"13+15=28"
] | Current State: 28:[14, 1, 42, 57], Operations: []
Exploring Operation: 14-1=13, Resulting Numbers: [42, 57, 13]
Generated Node #2: [42, 57, 13] from Operation: 14-1=13
Current State: 28:[42, 57, 13], Operations: ['14-1=13']
Exploring Operation: 57-42=15, Resulting Numbers: [13, 15]
Generated Node #3: [13, 15] from Operation: 57-42=15
Current State: 28:[13, 15], Operations: ['14-1=13', '57-42=15']
Exploring Operation: 13+15=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
14,
23,
83,
4
] | 50 | [
"14+23=37",
"83+4=87",
"87-37=50"
] | Current State: 50:[14, 23, 83, 4], Operations: []
Exploring Operation: 14+23=37, Resulting Numbers: [83, 4, 37]
Generated Node #2: [83, 4, 37] from Operation: 14+23=37
Current State: 50:[83, 4, 37], Operations: ['14+23=37']
Exploring Operation: 83+4=87, Resulting Numbers: [37, 87]
Generated Node #3: [37, 87] from Operation: 83+4=87
Current State: 50:[37, 87], Operations: ['14+23=37', '83+4=87']
Exploring Operation: 87-37=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
21,
63,
6,
11
] | 28 | [
"21*11=231",
"231-63=168",
"168/6=28"
] | Current State: 28:[21, 63, 6, 11], Operations: []
Exploring Operation: 21*11=231, Resulting Numbers: [63, 6, 231]
Generated Node #2: [63, 6, 231] from Operation: 21*11=231
Current State: 28:[63, 6, 231], Operations: ['21*11=231']
Exploring Operation: 231-63=168, Resulting Numbers: [6, 168]
Generated Node #3: [6, 168] from Operation: 231-63=168
Current State: 28:[6, 168], Operations: ['21*11=231', '231-63=168']
Exploring Operation: 168/6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
10,
40,
41,
4
] | 30 | [
"41-40=1",
"4-1=3",
"10*3=30"
] | Current State: 30:[10, 40, 41, 4], Operations: []
Exploring Operation: 41-40=1, Resulting Numbers: [10, 4, 1]
Generated Node #2: [10, 4, 1] from Operation: 41-40=1
Current State: 30:[10, 4, 1], Operations: ['41-40=1']
Exploring Operation: 4-1=3, Resulting Numbers: [10, 3]
Generated Node #3: [10, 3] from Operation: 4-1=3
Current State: 30:[10, 3], Operations: ['41-40=1', '4-1=3']
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
10,
5,
34,
23
] | 80 | [
"10/5=2",
"23*2=46",
"34+46=80"
] | Current State: 80:[10, 5, 34, 23], Operations: []
Exploring Operation: 10/5=2, Resulting Numbers: [34, 23, 2]
Generated Node #2: [34, 23, 2] from Operation: 10/5=2
Current State: 80:[34, 23, 2], Operations: ['10/5=2']
Exploring Operation: 23*2=46, Resulting Numbers: [34, 46]
Generated Node #3: [34, 46] from Operation: 23*2=46
Current State: 80:[34, 46], Operations: ['10/5=2', '23*2=46']
Exploring Operation: 34+46=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
71,
21,
86,
80
] | 74 | [
"71+21=92",
"86+80=166",
"166-92=74"
] | Current State: 74:[71, 21, 86, 80], Operations: []
Exploring Operation: 71+21=92, Resulting Numbers: [86, 80, 92]
Generated Node #2: [86, 80, 92] from Operation: 71+21=92
Current State: 74:[86, 80, 92], Operations: ['71+21=92']
Exploring Operation: 86+80=166, Resulting Numbers: [92, 166]
Generated Node #3: [92, 166] from Operation: 86+80=166
Current State: 74:[92, 166], Operations: ['71+21=92', '86+80=166']
Exploring Operation: 166-92=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
16,
13,
16,
14
] | 21 | [
"16-14=2",
"16/2=8",
"13+8=21"
] | Current State: 21:[16, 13, 16, 14], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [13, 2]
Generated Node #2: [13, 2] from Operation: 16-14=2
Current State: 21:[13, 2], Operations: ['16-14=2']
Exploring Operation: 16/2=8, Resulting Numbers: [13, 8]
Generated Node #3: [13, 8] from Operation: 16/2=8
Current State: 21:[13, 8], Operations: ['16-14=2', '16/2=8']
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
16,
17,
63,
80
] | 15 | [
"17+63=80",
"80/80=1",
"16-1=15"
] | Current State: 15:[16, 17, 63, 80], Operations: []
Exploring Operation: 17+63=80, Resulting Numbers: [16, 80, 80]
Generated Node #2: [16, 80, 80] from Operation: 17+63=80
Current State: 15:[16, 80, 80], Operations: ['17+63=80']
Exploring Operation: 80/80=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 80/80=1
Current State: 15:[16, 1], Operations: ['17+63=80', '80/80=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
82,
13,
87,
97
] | 89 | [
"82+13=95",
"87+97=184",
"184-95=89"
] | Current State: 89:[82, 13, 87, 97], Operations: []
Exploring Operation: 82+13=95, Resulting Numbers: [87, 97, 95]
Generated Node #2: [87, 97, 95] from Operation: 82+13=95
Current State: 89:[87, 97, 95], Operations: ['82+13=95']
Exploring Operation: 87+97=184, Resulting Numbers: [95, 184]
Generated Node #3: [95, 184] from Operation: 87+97=184
Current State: 89:[95, 184], Operations: ['82+13=95', '87+97=184']
Exploring Operation: 184-95=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
29,
5,
25,
96
] | 19 | [
"29-25=4",
"96/4=24",
"24-5=19"
] | Current State: 19:[29, 5, 25, 96], Operations: []
Exploring Operation: 29-25=4, Resulting Numbers: [5, 96, 4]
Generated Node #2: [5, 96, 4] from Operation: 29-25=4
Current State: 19:[5, 96, 4], Operations: ['29-25=4']
Exploring Operation: 96/4=24, Resulting Numbers: [5, 24]
Generated Node #3: [5, 24] from Operation: 96/4=24
Current State: 19:[5, 24], Operations: ['29-25=4', '96/4=24']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
36,
46,
13,
52
] | 50 | [
"36-13=23",
"46/23=2",
"52-2=50"
] | Current State: 50:[36, 46, 13, 52], Operations: []
Exploring Operation: 36-13=23, Resulting Numbers: [46, 52, 23]
Generated Node #2: [46, 52, 23] from Operation: 36-13=23
Current State: 50:[46, 52, 23], Operations: ['36-13=23']
Exploring Operation: 46/23=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 46/23=2
Current State: 50:[52, 2], Operations: ['36-13=23', '46/23=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
90,
18,
24,
26
] | 29 | [
"90-18=72",
"72/24=3",
"26+3=29"
] | Current State: 29:[90, 18, 24, 26], Operations: []
Exploring Operation: 90-18=72, Resulting Numbers: [24, 26, 72]
Generated Node #2: [24, 26, 72] from Operation: 90-18=72
Current State: 29:[24, 26, 72], Operations: ['90-18=72']
Exploring Operation: 72/24=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 72/24=3
Current State: 29:[26, 3], Operations: ['90-18=72', '72/24=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
36,
85,
57,
21
] | 29 | [
"85-36=49",
"57+21=78",
"78-49=29"
] | Current State: 29:[36, 85, 57, 21], Operations: []
Exploring Operation: 85-36=49, Resulting Numbers: [57, 21, 49]
Generated Node #2: [57, 21, 49] from Operation: 85-36=49
Current State: 29:[57, 21, 49], Operations: ['85-36=49']
Exploring Operation: 57+21=78, Resulting Numbers: [49, 78]
Generated Node #3: [49, 78] from Operation: 57+21=78
Current State: 29:[49, 78], Operations: ['85-36=49', '57+21=78']
Exploring Operation: 78-49=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
75,
70,
15,
50
] | 73 | [
"50-15=35",
"70/35=2",
"75-2=73"
] | Current State: 73:[75, 70, 15, 50], Operations: []
Exploring Operation: 50-15=35, Resulting Numbers: [75, 70, 35]
Generated Node #2: [75, 70, 35] from Operation: 50-15=35
Current State: 73:[75, 70, 35], Operations: ['50-15=35']
Exploring Operation: 70/35=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 70/35=2
Current State: 73:[75, 2], Operations: ['50-15=35', '70/35=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
3,
84,
21,
6
] | 97 | [
"21/3=7",
"84+6=90",
"7+90=97"
] | Current State: 97:[3, 84, 21, 6], Operations: []
Exploring Operation: 21/3=7, Resulting Numbers: [84, 6, 7]
Generated Node #2: [84, 6, 7] from Operation: 21/3=7
Current State: 97:[84, 6, 7], Operations: ['21/3=7']
Exploring Operation: 84+6=90, Resulting Numbers: [7, 90]
Generated Node #3: [7, 90] from Operation: 84+6=90
Current State: 97:[7, 90], Operations: ['21/3=7', '84+6=90']
Exploring Operation: 7+90=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
90,
2,
43,
13
] | 30 | [
"90-43=47",
"13+47=60",
"60/2=30"
] | Current State: 30:[90, 2, 43, 13], Operations: []
Exploring Operation: 90-43=47, Resulting Numbers: [2, 13, 47]
Generated Node #2: [2, 13, 47] from Operation: 90-43=47
Current State: 30:[2, 13, 47], Operations: ['90-43=47']
Exploring Operation: 13+47=60, Resulting Numbers: [2, 60]
Generated Node #3: [2, 60] from Operation: 13+47=60
Current State: 30:[2, 60], Operations: ['90-43=47', '13+47=60']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
8,
56,
53,
98
] | 28 | [
"8+98=106",
"56*53=2968",
"2968/106=28"
] | Current State: 28:[8, 56, 53, 98], Operations: []
Exploring Operation: 8+98=106, Resulting Numbers: [56, 53, 106]
Generated Node #2: [56, 53, 106] from Operation: 8+98=106
Current State: 28:[56, 53, 106], Operations: ['8+98=106']
Exploring Operation: 56*53=2968, Resulting Numbers: [106, 2968]
Generated Node #3: [106, 2968] from Operation: 56*53=2968
Current State: 28:[106, 2968], Operations: ['8+98=106', '56*53=2968']
Exploring Operation: 2968/106=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
32,
31,
79,
40
] | 56 | [
"32+31=63",
"79+40=119",
"119-63=56"
] | Current State: 56:[32, 31, 79, 40], Operations: []
Exploring Operation: 32+31=63, Resulting Numbers: [79, 40, 63]
Generated Node #2: [79, 40, 63] from Operation: 32+31=63
Current State: 56:[79, 40, 63], Operations: ['32+31=63']
Exploring Operation: 79+40=119, Resulting Numbers: [63, 119]
Generated Node #3: [63, 119] from Operation: 79+40=119
Current State: 56:[63, 119], Operations: ['32+31=63', '79+40=119']
Exploring Operation: 119-63=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
96,
32,
98,
23
] | 25 | [
"96/32=3",
"98-23=75",
"75/3=25"
] | Current State: 25:[96, 32, 98, 23], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [98, 23, 3]
Generated Node #2: [98, 23, 3] from Operation: 96/32=3
Current State: 25:[98, 23, 3], Operations: ['96/32=3']
Exploring Operation: 98-23=75, Resulting Numbers: [3, 75]
Generated Node #3: [3, 75] from Operation: 98-23=75
Current State: 25:[3, 75], Operations: ['96/32=3', '98-23=75']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
5,
94,
7,
66
] | 25 | [
"94+66=160",
"160/5=32",
"32-7=25"
] | Current State: 25:[5, 94, 7, 66], Operations: []
Exploring Operation: 94+66=160, Resulting Numbers: [5, 7, 160]
Generated Node #2: [5, 7, 160] from Operation: 94+66=160
Current State: 25:[5, 7, 160], Operations: ['94+66=160']
Exploring Operation: 160/5=32, Resulting Numbers: [7, 32]
Generated Node #3: [7, 32] from Operation: 160/5=32
Current State: 25:[7, 32], Operations: ['94+66=160', '160/5=32']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
49,
14,
48,
40
] | 27 | [
"49-14=35",
"48-40=8",
"35-8=27"
] | Current State: 27:[49, 14, 48, 40], Operations: []
Exploring Operation: 49-14=35, Resulting Numbers: [48, 40, 35]
Generated Node #2: [48, 40, 35] from Operation: 49-14=35
Current State: 27:[48, 40, 35], Operations: ['49-14=35']
Exploring Operation: 48-40=8, Resulting Numbers: [35, 8]
Generated Node #3: [35, 8] from Operation: 48-40=8
Current State: 27:[35, 8], Operations: ['49-14=35', '48-40=8']
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
2,
63,
82,
57
] | 86 | [
"63-2=61",
"82-57=25",
"61+25=86"
] | Current State: 86:[2, 63, 82, 57], Operations: []
Exploring Operation: 63-2=61, Resulting Numbers: [82, 57, 61]
Generated Node #2: [82, 57, 61] from Operation: 63-2=61
Current State: 86:[82, 57, 61], Operations: ['63-2=61']
Exploring Operation: 82-57=25, Resulting Numbers: [61, 25]
Generated Node #3: [61, 25] from Operation: 82-57=25
Current State: 86:[61, 25], Operations: ['63-2=61', '82-57=25']
Exploring Operation: 61+25=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
22,
92,
55,
36
] | 95 | [
"22+92=114",
"55-36=19",
"114-19=95"
] | Current State: 95:[22, 92, 55, 36], Operations: []
Exploring Operation: 22+92=114, Resulting Numbers: [55, 36, 114]
Generated Node #2: [55, 36, 114] from Operation: 22+92=114
Current State: 95:[55, 36, 114], Operations: ['22+92=114']
Exploring Operation: 55-36=19, Resulting Numbers: [114, 19]
Generated Node #3: [114, 19] from Operation: 55-36=19
Current State: 95:[114, 19], Operations: ['22+92=114', '55-36=19']
Exploring Operation: 114-19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
2,
18,
7,
88
] | 20 | [
"88-18=70",
"2*70=140",
"140/7=20"
] | Current State: 20:[2, 18, 7, 88], Operations: []
Exploring Operation: 88-18=70, Resulting Numbers: [2, 7, 70]
Generated Node #2: [2, 7, 70] from Operation: 88-18=70
Current State: 20:[2, 7, 70], Operations: ['88-18=70']
Exploring Operation: 2*70=140, Resulting Numbers: [7, 140]
Generated Node #3: [7, 140] from Operation: 2*70=140
Current State: 20:[7, 140], Operations: ['88-18=70', '2*70=140']
Exploring Operation: 140/7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
57,
16,
25,
85
] | 48 | [
"57+25=82",
"85-82=3",
"16*3=48"
] | Current State: 48:[57, 16, 25, 85], Operations: []
Exploring Operation: 57+25=82, Resulting Numbers: [16, 85, 82]
Generated Node #2: [16, 85, 82] from Operation: 57+25=82
Current State: 48:[16, 85, 82], Operations: ['57+25=82']
Exploring Operation: 85-82=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 85-82=3
Current State: 48:[16, 3], Operations: ['57+25=82', '85-82=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
95,
95,
72,
93
] | 72 | [
"95-95=0",
"93*0=0",
"72+0=72"
] | Current State: 72:[95, 95, 72, 93], Operations: []
Exploring Operation: 95-95=0, Resulting Numbers: [72, 93, 0]
Generated Node #2: [72, 93, 0] from Operation: 95-95=0
Current State: 72:[72, 93, 0], Operations: ['95-95=0']
Exploring Operation: 93*0=0, Resulting Numbers: [72, 0]
Generated Node #3: [72, 0] from Operation: 93*0=0
Current State: 72:[72, 0], Operations: ['95-95=0', '93*0=0']
Exploring Operation: 72+0=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
57,
14,
57,
6
] | 20 | [
"57+14=71",
"57-6=51",
"71-51=20"
] | Current State: 20:[57, 14, 57, 6], Operations: []
Exploring Operation: 57+14=71, Resulting Numbers: [6, 71]
Generated Node #2: [6, 71] from Operation: 57+14=71
Current State: 20:[6, 71], Operations: ['57+14=71']
Exploring Operation: 57-6=51, Resulting Numbers: [71, 51]
Generated Node #3: [71, 51] from Operation: 57-6=51
Current State: 20:[71, 51], Operations: ['57+14=71', '57-6=51']
Exploring Operation: 71-51=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
61,
43,
9,
86
] | 50 | [
"61-9=52",
"86/43=2",
"52-2=50"
] | Current State: 50:[61, 43, 9, 86], Operations: []
Exploring Operation: 61-9=52, Resulting Numbers: [43, 86, 52]
Generated Node #2: [43, 86, 52] from Operation: 61-9=52
Current State: 50:[43, 86, 52], Operations: ['61-9=52']
Exploring Operation: 86/43=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 86/43=2
Current State: 50:[52, 2], Operations: ['61-9=52', '86/43=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
4,
74,
47,
70
] | 44 | [
"4*47=188",
"74+70=144",
"188-144=44"
] | Current State: 44:[4, 74, 47, 70], Operations: []
Exploring Operation: 4*47=188, Resulting Numbers: [74, 70, 188]
Generated Node #2: [74, 70, 188] from Operation: 4*47=188
Current State: 44:[74, 70, 188], Operations: ['4*47=188']
Exploring Operation: 74+70=144, Resulting Numbers: [188, 144]
Generated Node #3: [188, 144] from Operation: 74+70=144
Current State: 44:[188, 144], Operations: ['4*47=188', '74+70=144']
Exploring Operation: 188-144=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
80,
73,
54,
5
] | 42 | [
"80-73=7",
"54-5=49",
"49-7=42"
] | Current State: 42:[80, 73, 54, 5], Operations: []
Exploring Operation: 80-73=7, Resulting Numbers: [54, 5, 7]
Generated Node #2: [54, 5, 7] from Operation: 80-73=7
Current State: 42:[54, 5, 7], Operations: ['80-73=7']
Exploring Operation: 54-5=49, Resulting Numbers: [7, 49]
Generated Node #3: [7, 49] from Operation: 54-5=49
Current State: 42:[7, 49], Operations: ['80-73=7', '54-5=49']
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
21,
22,
27,
68
] | 95 | [
"22-21=1",
"27+68=95",
"1*95=95"
] | Current State: 95:[21, 22, 27, 68], Operations: []
Exploring Operation: 22-21=1, Resulting Numbers: [27, 68, 1]
Generated Node #2: [27, 68, 1] from Operation: 22-21=1
Current State: 95:[27, 68, 1], Operations: ['22-21=1']
Exploring Operation: 27+68=95, Resulting Numbers: [1, 95]
Generated Node #3: [1, 95] from Operation: 27+68=95
Current State: 95:[1, 95], Operations: ['22-21=1', '27+68=95']
Exploring Operation: 1*95=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
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