nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
22,
2,
5,
58
] | 43 | [
"22-2=20",
"5+58=63",
"63-20=43"
] | Current State: 43:[22, 2, 5, 58], Operations: []
Exploring Operation: 22-2=20, Resulting Numbers: [5, 58, 20]
Generated Node #2: [5, 58, 20] from Operation: 22-2=20
Current State: 43:[5, 58, 20], Operations: ['22-2=20']
Exploring Operation: 5+58=63, Resulting Numbers: [20, 63]
Generated Node #3: [20, 63] from Operation: 5+58=63
Current State: 43:[20, 63], Operations: ['22-2=20', '5+58=63']
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
13,
16,
70,
2
] | 28 | [
"13*2=26",
"70-16=54",
"54-26=28"
] | Current State: 28:[13, 16, 70, 2], Operations: []
Exploring Operation: 13*2=26, Resulting Numbers: [16, 70, 26]
Generated Node #2: [16, 70, 26] from Operation: 13*2=26
Current State: 28:[16, 70, 26], Operations: ['13*2=26']
Exploring Operation: 70-16=54, Resulting Numbers: [26, 54]
Generated Node #3: [26, 54] from Operation: 70-16=54
Current State: 28:[26, 54], Operations: ['13*2=26', '70-16=54']
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
95,
3,
22,
75
] | 48 | [
"95-22=73",
"75/3=25",
"73-25=48"
] | Current State: 48:[95, 3, 22, 75], Operations: []
Exploring Operation: 95-22=73, Resulting Numbers: [3, 75, 73]
Generated Node #2: [3, 75, 73] from Operation: 95-22=73
Current State: 48:[3, 75, 73], Operations: ['95-22=73']
Exploring Operation: 75/3=25, Resulting Numbers: [73, 25]
Generated Node #3: [73, 25] from Operation: 75/3=25
Current State: 48:[73, 25], Operations: ['95-22=73', '75/3=25']
Exploring Operation: 73-25=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
71,
14,
67,
77
] | 75 | [
"71+14=85",
"77-67=10",
"85-10=75"
] | Current State: 75:[71, 14, 67, 77], Operations: []
Exploring Operation: 71+14=85, Resulting Numbers: [67, 77, 85]
Generated Node #2: [67, 77, 85] from Operation: 71+14=85
Current State: 75:[67, 77, 85], Operations: ['71+14=85']
Exploring Operation: 77-67=10, Resulting Numbers: [85, 10]
Generated Node #3: [85, 10] from Operation: 77-67=10
Current State: 75:[85, 10], Operations: ['71+14=85', '77-67=10']
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
90,
35,
33,
28
] | 25 | [
"90+35=125",
"33-28=5",
"125/5=25"
] | Current State: 25:[90, 35, 33, 28], Operations: []
Exploring Operation: 90+35=125, Resulting Numbers: [33, 28, 125]
Generated Node #2: [33, 28, 125] from Operation: 90+35=125
Current State: 25:[33, 28, 125], Operations: ['90+35=125']
Exploring Operation: 33-28=5, Resulting Numbers: [125, 5]
Generated Node #3: [125, 5] from Operation: 33-28=5
Current State: 25:[125, 5], Operations: ['90+35=125', '33-28=5']
Exploring Operation: 125/5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
62,
31,
23,
60
] | 16 | [
"62-60=2",
"31-23=8",
"2*8=16"
] | Current State: 16:[62, 31, 23, 60], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [31, 23, 2]
Generated Node #2: [31, 23, 2] from Operation: 62-60=2
Current State: 16:[31, 23, 2], Operations: ['62-60=2']
Exploring Operation: 31-23=8, Resulting Numbers: [2, 8]
Generated Node #3: [2, 8] from Operation: 31-23=8
Current State: 16:[2, 8], Operations: ['62-60=2', '31-23=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
53,
30,
89,
99
] | 73 | [
"53+30=83",
"99-89=10",
"83-10=73"
] | Current State: 73:[53, 30, 89, 99], Operations: []
Exploring Operation: 53+30=83, Resulting Numbers: [89, 99, 83]
Generated Node #2: [89, 99, 83] from Operation: 53+30=83
Current State: 73:[89, 99, 83], Operations: ['53+30=83']
Exploring Operation: 99-89=10, Resulting Numbers: [83, 10]
Generated Node #3: [83, 10] from Operation: 99-89=10
Current State: 73:[83, 10], Operations: ['53+30=83', '99-89=10']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
76,
94,
46,
15
] | 29 | [
"94*15=1410",
"1410-76=1334",
"1334/46=29"
] | Current State: 29:[76, 94, 46, 15], Operations: []
Exploring Operation: 94*15=1410, Resulting Numbers: [76, 46, 1410]
Generated Node #2: [76, 46, 1410] from Operation: 94*15=1410
Current State: 29:[76, 46, 1410], Operations: ['94*15=1410']
Exploring Operation: 1410-76=1334, Resulting Numbers: [46, 1334]
Generated Node #3: [46, 1334] from Operation: 1410-76=1334
Current State: 29:[46, 1334], Operations: ['94*15=1410', '1410-76=1334']
Exploring Operation: 1334/46=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
90,
72,
77,
12
] | 83 | [
"90-72=18",
"77-12=65",
"18+65=83"
] | Current State: 83:[90, 72, 77, 12], Operations: []
Exploring Operation: 90-72=18, Resulting Numbers: [77, 12, 18]
Generated Node #2: [77, 12, 18] from Operation: 90-72=18
Current State: 83:[77, 12, 18], Operations: ['90-72=18']
Exploring Operation: 77-12=65, Resulting Numbers: [18, 65]
Generated Node #3: [18, 65] from Operation: 77-12=65
Current State: 83:[18, 65], Operations: ['90-72=18', '77-12=65']
Exploring Operation: 18+65=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
22,
3,
98,
34
] | 14 | [
"98-22=76",
"76-34=42",
"42/3=14"
] | Current State: 14:[22, 3, 98, 34], Operations: []
Exploring Operation: 98-22=76, Resulting Numbers: [3, 34, 76]
Generated Node #2: [3, 34, 76] from Operation: 98-22=76
Current State: 14:[3, 34, 76], Operations: ['98-22=76']
Exploring Operation: 76-34=42, Resulting Numbers: [3, 42]
Generated Node #3: [3, 42] from Operation: 76-34=42
Current State: 14:[3, 42], Operations: ['98-22=76', '76-34=42']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
77,
77,
10,
43
] | 54 | [
"77/77=1",
"10+43=53",
"1+53=54"
] | Current State: 54:[77, 77, 10, 43], Operations: []
Exploring Operation: 77/77=1, Resulting Numbers: [10, 43, 1]
Generated Node #2: [10, 43, 1] from Operation: 77/77=1
Current State: 54:[10, 43, 1], Operations: ['77/77=1']
Exploring Operation: 10+43=53, Resulting Numbers: [1, 53]
Generated Node #3: [1, 53] from Operation: 10+43=53
Current State: 54:[1, 53], Operations: ['77/77=1', '10+43=53']
Exploring Operation: 1+53=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
51,
33,
96,
37
] | 41 | [
"51-33=18",
"96-37=59",
"59-18=41"
] | Current State: 41:[51, 33, 96, 37], Operations: []
Exploring Operation: 51-33=18, Resulting Numbers: [96, 37, 18]
Generated Node #2: [96, 37, 18] from Operation: 51-33=18
Current State: 41:[96, 37, 18], Operations: ['51-33=18']
Exploring Operation: 96-37=59, Resulting Numbers: [18, 59]
Generated Node #3: [18, 59] from Operation: 96-37=59
Current State: 41:[18, 59], Operations: ['51-33=18', '96-37=59']
Exploring Operation: 59-18=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
26,
47,
63,
76
] | 94 | [
"26*47=1222",
"76-63=13",
"1222/13=94"
] | Current State: 94:[26, 47, 63, 76], Operations: []
Exploring Operation: 26*47=1222, Resulting Numbers: [63, 76, 1222]
Generated Node #2: [63, 76, 1222] from Operation: 26*47=1222
Current State: 94:[63, 76, 1222], Operations: ['26*47=1222']
Exploring Operation: 76-63=13, Resulting Numbers: [1222, 13]
Generated Node #3: [1222, 13] from Operation: 76-63=13
Current State: 94:[1222, 13], Operations: ['26*47=1222', '76-63=13']
Exploring Operation: 1222/13=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
88,
14,
55,
11
] | 16 | [
"55-11=44",
"88/44=2",
"14+2=16"
] | Current State: 16:[88, 14, 55, 11], Operations: []
Exploring Operation: 55-11=44, Resulting Numbers: [88, 14, 44]
Generated Node #2: [88, 14, 44] from Operation: 55-11=44
Current State: 16:[88, 14, 44], Operations: ['55-11=44']
Exploring Operation: 88/44=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 88/44=2
Current State: 16:[14, 2], Operations: ['55-11=44', '88/44=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
40,
12,
95,
35
] | 88 | [
"40-12=28",
"95-35=60",
"28+60=88"
] | Current State: 88:[40, 12, 95, 35], Operations: []
Exploring Operation: 40-12=28, Resulting Numbers: [95, 35, 28]
Generated Node #2: [95, 35, 28] from Operation: 40-12=28
Current State: 88:[95, 35, 28], Operations: ['40-12=28']
Exploring Operation: 95-35=60, Resulting Numbers: [28, 60]
Generated Node #3: [28, 60] from Operation: 95-35=60
Current State: 88:[28, 60], Operations: ['40-12=28', '95-35=60']
Exploring Operation: 28+60=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
42,
65,
82,
79
] | 79 | [
"79-65=14",
"42/14=3",
"82-3=79"
] | Current State: 79:[42, 65, 82, 79], Operations: []
Exploring Operation: 79-65=14, Resulting Numbers: [42, 82, 14]
Generated Node #2: [42, 82, 14] from Operation: 79-65=14
Current State: 79:[42, 82, 14], Operations: ['79-65=14']
Exploring Operation: 42/14=3, Resulting Numbers: [82, 3]
Generated Node #3: [82, 3] from Operation: 42/14=3
Current State: 79:[82, 3], Operations: ['79-65=14', '42/14=3']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
55,
18,
23,
60
] | 67 | [
"60-55=5",
"18*5=90",
"90-23=67"
] | Current State: 67:[55, 18, 23, 60], Operations: []
Exploring Operation: 60-55=5, Resulting Numbers: [18, 23, 5]
Generated Node #2: [18, 23, 5] from Operation: 60-55=5
Current State: 67:[18, 23, 5], Operations: ['60-55=5']
Exploring Operation: 18*5=90, Resulting Numbers: [23, 90]
Generated Node #3: [23, 90] from Operation: 18*5=90
Current State: 67:[23, 90], Operations: ['60-55=5', '18*5=90']
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
98,
17,
24,
32
] | 48 | [
"98*24=2352",
"17+32=49",
"2352/49=48"
] | Current State: 48:[98, 17, 24, 32], Operations: []
Exploring Operation: 98*24=2352, Resulting Numbers: [17, 32, 2352]
Generated Node #2: [17, 32, 2352] from Operation: 98*24=2352
Current State: 48:[17, 32, 2352], Operations: ['98*24=2352']
Exploring Operation: 17+32=49, Resulting Numbers: [2352, 49]
Generated Node #3: [2352, 49] from Operation: 17+32=49
Current State: 48:[2352, 49], Operations: ['98*24=2352', '17+32=49']
Exploring Operation: 2352/49=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
22,
65,
73,
70
] | 19 | [
"22+73=95",
"70-65=5",
"95/5=19"
] | Current State: 19:[22, 65, 73, 70], Operations: []
Exploring Operation: 22+73=95, Resulting Numbers: [65, 70, 95]
Generated Node #2: [65, 70, 95] from Operation: 22+73=95
Current State: 19:[65, 70, 95], Operations: ['22+73=95']
Exploring Operation: 70-65=5, Resulting Numbers: [95, 5]
Generated Node #3: [95, 5] from Operation: 70-65=5
Current State: 19:[95, 5], Operations: ['22+73=95', '70-65=5']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
25,
9,
35,
8
] | 11 | [
"25-9=16",
"35-8=27",
"27-16=11"
] | Current State: 11:[25, 9, 35, 8], Operations: []
Exploring Operation: 25-9=16, Resulting Numbers: [35, 8, 16]
Generated Node #2: [35, 8, 16] from Operation: 25-9=16
Current State: 11:[35, 8, 16], Operations: ['25-9=16']
Exploring Operation: 35-8=27, Resulting Numbers: [16, 27]
Generated Node #3: [16, 27] from Operation: 35-8=27
Current State: 11:[16, 27], Operations: ['25-9=16', '35-8=27']
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
82,
6,
65,
93
] | 40 | [
"82+65=147",
"93+147=240",
"240/6=40"
] | Current State: 40:[82, 6, 65, 93], Operations: []
Exploring Operation: 82+65=147, Resulting Numbers: [6, 93, 147]
Generated Node #2: [6, 93, 147] from Operation: 82+65=147
Current State: 40:[6, 93, 147], Operations: ['82+65=147']
Exploring Operation: 93+147=240, Resulting Numbers: [6, 240]
Generated Node #3: [6, 240] from Operation: 93+147=240
Current State: 40:[6, 240], Operations: ['82+65=147', '93+147=240']
Exploring Operation: 240/6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
92,
94,
18,
5
] | 46 | [
"94-92=2",
"18+5=23",
"2*23=46"
] | Current State: 46:[92, 94, 18, 5], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [18, 5, 2]
Generated Node #2: [18, 5, 2] from Operation: 94-92=2
Current State: 46:[18, 5, 2], Operations: ['94-92=2']
Exploring Operation: 18+5=23, Resulting Numbers: [2, 23]
Generated Node #3: [2, 23] from Operation: 18+5=23
Current State: 46:[2, 23], Operations: ['94-92=2', '18+5=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
15,
26,
42,
57
] | 25 | [
"15+42=57",
"57/57=1",
"26-1=25"
] | Current State: 25:[15, 26, 42, 57], Operations: []
Exploring Operation: 15+42=57, Resulting Numbers: [26, 57, 57]
Generated Node #2: [26, 57, 57] from Operation: 15+42=57
Current State: 25:[26, 57, 57], Operations: ['15+42=57']
Exploring Operation: 57/57=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 57/57=1
Current State: 25:[26, 1], Operations: ['15+42=57', '57/57=1']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
91,
20,
86,
85
] | 81 | [
"91-86=5",
"20/5=4",
"85-4=81"
] | Current State: 81:[91, 20, 86, 85], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [20, 85, 5]
Generated Node #2: [20, 85, 5] from Operation: 91-86=5
Current State: 81:[20, 85, 5], Operations: ['91-86=5']
Exploring Operation: 20/5=4, Resulting Numbers: [85, 4]
Generated Node #3: [85, 4] from Operation: 20/5=4
Current State: 81:[85, 4], Operations: ['91-86=5', '20/5=4']
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
35,
92,
6,
97
] | 21 | [
"35*6=210",
"92+97=189",
"210-189=21"
] | Current State: 21:[35, 92, 6, 97], Operations: []
Exploring Operation: 35*6=210, Resulting Numbers: [92, 97, 210]
Generated Node #2: [92, 97, 210] from Operation: 35*6=210
Current State: 21:[92, 97, 210], Operations: ['35*6=210']
Exploring Operation: 92+97=189, Resulting Numbers: [210, 189]
Generated Node #3: [210, 189] from Operation: 92+97=189
Current State: 21:[210, 189], Operations: ['35*6=210', '92+97=189']
Exploring Operation: 210-189=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
74,
32,
80,
55
] | 17 | [
"74-32=42",
"80-55=25",
"42-25=17"
] | Current State: 17:[74, 32, 80, 55], Operations: []
Exploring Operation: 74-32=42, Resulting Numbers: [80, 55, 42]
Generated Node #2: [80, 55, 42] from Operation: 74-32=42
Current State: 17:[80, 55, 42], Operations: ['74-32=42']
Exploring Operation: 80-55=25, Resulting Numbers: [42, 25]
Generated Node #3: [42, 25] from Operation: 80-55=25
Current State: 17:[42, 25], Operations: ['74-32=42', '80-55=25']
Exploring Operation: 42-25=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
21,
3,
92,
87
] | 58 | [
"21*3=63",
"92-87=5",
"63-5=58"
] | Current State: 58:[21, 3, 92, 87], Operations: []
Exploring Operation: 21*3=63, Resulting Numbers: [92, 87, 63]
Generated Node #2: [92, 87, 63] from Operation: 21*3=63
Current State: 58:[92, 87, 63], Operations: ['21*3=63']
Exploring Operation: 92-87=5, Resulting Numbers: [63, 5]
Generated Node #3: [63, 5] from Operation: 92-87=5
Current State: 58:[63, 5], Operations: ['21*3=63', '92-87=5']
Exploring Operation: 63-5=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
7,
62,
78,
3
] | 17 | [
"62+78=140",
"140/7=20",
"20-3=17"
] | Current State: 17:[7, 62, 78, 3], Operations: []
Exploring Operation: 62+78=140, Resulting Numbers: [7, 3, 140]
Generated Node #2: [7, 3, 140] from Operation: 62+78=140
Current State: 17:[7, 3, 140], Operations: ['62+78=140']
Exploring Operation: 140/7=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 140/7=20
Current State: 17:[3, 20], Operations: ['62+78=140', '140/7=20']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
63,
74,
84,
23
] | 96 | [
"74-63=11",
"84+23=107",
"107-11=96"
] | Current State: 96:[63, 74, 84, 23], Operations: []
Exploring Operation: 74-63=11, Resulting Numbers: [84, 23, 11]
Generated Node #2: [84, 23, 11] from Operation: 74-63=11
Current State: 96:[84, 23, 11], Operations: ['74-63=11']
Exploring Operation: 84+23=107, Resulting Numbers: [11, 107]
Generated Node #3: [11, 107] from Operation: 84+23=107
Current State: 96:[11, 107], Operations: ['74-63=11', '84+23=107']
Exploring Operation: 107-11=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
94,
32,
63,
56
] | 54 | [
"94+32=126",
"126/63=2",
"56-2=54"
] | Current State: 54:[94, 32, 63, 56], Operations: []
Exploring Operation: 94+32=126, Resulting Numbers: [63, 56, 126]
Generated Node #2: [63, 56, 126] from Operation: 94+32=126
Current State: 54:[63, 56, 126], Operations: ['94+32=126']
Exploring Operation: 126/63=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 126/63=2
Current State: 54:[56, 2], Operations: ['94+32=126', '126/63=2']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
28,
75,
33,
90
] | 76 | [
"75-28=47",
"33+90=123",
"123-47=76"
] | Current State: 76:[28, 75, 33, 90], Operations: []
Exploring Operation: 75-28=47, Resulting Numbers: [33, 90, 47]
Generated Node #2: [33, 90, 47] from Operation: 75-28=47
Current State: 76:[33, 90, 47], Operations: ['75-28=47']
Exploring Operation: 33+90=123, Resulting Numbers: [47, 123]
Generated Node #3: [47, 123] from Operation: 33+90=123
Current State: 76:[47, 123], Operations: ['75-28=47', '33+90=123']
Exploring Operation: 123-47=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
77,
55,
51,
16
] | 47 | [
"77+51=128",
"128/16=8",
"55-8=47"
] | Current State: 47:[77, 55, 51, 16], Operations: []
Exploring Operation: 77+51=128, Resulting Numbers: [55, 16, 128]
Generated Node #2: [55, 16, 128] from Operation: 77+51=128
Current State: 47:[55, 16, 128], Operations: ['77+51=128']
Exploring Operation: 128/16=8, Resulting Numbers: [55, 8]
Generated Node #3: [55, 8] from Operation: 128/16=8
Current State: 47:[55, 8], Operations: ['77+51=128', '128/16=8']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
20,
39,
99,
2
] | 89 | [
"39+99=138",
"138/2=69",
"20+69=89"
] | Current State: 89:[20, 39, 99, 2], Operations: []
Exploring Operation: 39+99=138, Resulting Numbers: [20, 2, 138]
Generated Node #2: [20, 2, 138] from Operation: 39+99=138
Current State: 89:[20, 2, 138], Operations: ['39+99=138']
Exploring Operation: 138/2=69, Resulting Numbers: [20, 69]
Generated Node #3: [20, 69] from Operation: 138/2=69
Current State: 89:[20, 69], Operations: ['39+99=138', '138/2=69']
Exploring Operation: 20+69=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
66,
85,
32,
86
] | 99 | [
"85-66=19",
"32+86=118",
"118-19=99"
] | Current State: 99:[66, 85, 32, 86], Operations: []
Exploring Operation: 85-66=19, Resulting Numbers: [32, 86, 19]
Generated Node #2: [32, 86, 19] from Operation: 85-66=19
Current State: 99:[32, 86, 19], Operations: ['85-66=19']
Exploring Operation: 32+86=118, Resulting Numbers: [19, 118]
Generated Node #3: [19, 118] from Operation: 32+86=118
Current State: 99:[19, 118], Operations: ['85-66=19', '32+86=118']
Exploring Operation: 118-19=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
97,
3,
9,
30
] | 100 | [
"97+30=127",
"3*9=27",
"127-27=100"
] | Current State: 100:[97, 3, 9, 30], Operations: []
Exploring Operation: 97+30=127, Resulting Numbers: [3, 9, 127]
Generated Node #2: [3, 9, 127] from Operation: 97+30=127
Current State: 100:[3, 9, 127], Operations: ['97+30=127']
Exploring Operation: 3*9=27, Resulting Numbers: [127, 27]
Generated Node #3: [127, 27] from Operation: 3*9=27
Current State: 100:[127, 27], Operations: ['97+30=127', '3*9=27']
Exploring Operation: 127-27=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
5,
99,
38,
33
] | 28 | [
"5*33=165",
"99+38=137",
"165-137=28"
] | Current State: 28:[5, 99, 38, 33], Operations: []
Exploring Operation: 5*33=165, Resulting Numbers: [99, 38, 165]
Generated Node #2: [99, 38, 165] from Operation: 5*33=165
Current State: 28:[99, 38, 165], Operations: ['5*33=165']
Exploring Operation: 99+38=137, Resulting Numbers: [165, 137]
Generated Node #3: [165, 137] from Operation: 99+38=137
Current State: 28:[165, 137], Operations: ['5*33=165', '99+38=137']
Exploring Operation: 165-137=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
6,
70,
13,
22
] | 32 | [
"13-6=7",
"70/7=10",
"22+10=32"
] | Current State: 32:[6, 70, 13, 22], Operations: []
Exploring Operation: 13-6=7, Resulting Numbers: [70, 22, 7]
Generated Node #2: [70, 22, 7] from Operation: 13-6=7
Current State: 32:[70, 22, 7], Operations: ['13-6=7']
Exploring Operation: 70/7=10, Resulting Numbers: [22, 10]
Generated Node #3: [22, 10] from Operation: 70/7=10
Current State: 32:[22, 10], Operations: ['13-6=7', '70/7=10']
Exploring Operation: 22+10=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
55,
66,
26,
23
] | 59 | [
"66+26=92",
"92/23=4",
"55+4=59"
] | Current State: 59:[55, 66, 26, 23], Operations: []
Exploring Operation: 66+26=92, Resulting Numbers: [55, 23, 92]
Generated Node #2: [55, 23, 92] from Operation: 66+26=92
Current State: 59:[55, 23, 92], Operations: ['66+26=92']
Exploring Operation: 92/23=4, Resulting Numbers: [55, 4]
Generated Node #3: [55, 4] from Operation: 92/23=4
Current State: 59:[55, 4], Operations: ['66+26=92', '92/23=4']
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
98,
74,
30,
54
] | 60 | [
"98-74=24",
"30+54=84",
"84-24=60"
] | Current State: 60:[98, 74, 30, 54], Operations: []
Exploring Operation: 98-74=24, Resulting Numbers: [30, 54, 24]
Generated Node #2: [30, 54, 24] from Operation: 98-74=24
Current State: 60:[30, 54, 24], Operations: ['98-74=24']
Exploring Operation: 30+54=84, Resulting Numbers: [24, 84]
Generated Node #3: [24, 84] from Operation: 30+54=84
Current State: 60:[24, 84], Operations: ['98-74=24', '30+54=84']
Exploring Operation: 84-24=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
84,
30,
5,
62
] | 76 | [
"84*5=420",
"420/30=14",
"62+14=76"
] | Current State: 76:[84, 30, 5, 62], Operations: []
Exploring Operation: 84*5=420, Resulting Numbers: [30, 62, 420]
Generated Node #2: [30, 62, 420] from Operation: 84*5=420
Current State: 76:[30, 62, 420], Operations: ['84*5=420']
Exploring Operation: 420/30=14, Resulting Numbers: [62, 14]
Generated Node #3: [62, 14] from Operation: 420/30=14
Current State: 76:[62, 14], Operations: ['84*5=420', '420/30=14']
Exploring Operation: 62+14=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
90,
5,
67,
9
] | 62 | [
"90/9=10",
"5+67=72",
"72-10=62"
] | Current State: 62:[90, 5, 67, 9], Operations: []
Exploring Operation: 90/9=10, Resulting Numbers: [5, 67, 10]
Generated Node #2: [5, 67, 10] from Operation: 90/9=10
Current State: 62:[5, 67, 10], Operations: ['90/9=10']
Exploring Operation: 5+67=72, Resulting Numbers: [10, 72]
Generated Node #3: [10, 72] from Operation: 5+67=72
Current State: 62:[10, 72], Operations: ['90/9=10', '5+67=72']
Exploring Operation: 72-10=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
42,
57,
66,
50
] | 83 | [
"42+57=99",
"66-50=16",
"99-16=83"
] | Current State: 83:[42, 57, 66, 50], Operations: []
Exploring Operation: 42+57=99, Resulting Numbers: [66, 50, 99]
Generated Node #2: [66, 50, 99] from Operation: 42+57=99
Current State: 83:[66, 50, 99], Operations: ['42+57=99']
Exploring Operation: 66-50=16, Resulting Numbers: [99, 16]
Generated Node #3: [99, 16] from Operation: 66-50=16
Current State: 83:[99, 16], Operations: ['42+57=99', '66-50=16']
Exploring Operation: 99-16=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
39,
46,
93,
15
] | 36 | [
"46-15=31",
"93/31=3",
"39-3=36"
] | Current State: 36:[39, 46, 93, 15], Operations: []
Exploring Operation: 46-15=31, Resulting Numbers: [39, 93, 31]
Generated Node #2: [39, 93, 31] from Operation: 46-15=31
Current State: 36:[39, 93, 31], Operations: ['46-15=31']
Exploring Operation: 93/31=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 93/31=3
Current State: 36:[39, 3], Operations: ['46-15=31', '93/31=3']
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
96,
16,
20,
98
] | 84 | [
"96/16=6",
"98-20=78",
"6+78=84"
] | Current State: 84:[96, 16, 20, 98], Operations: []
Exploring Operation: 96/16=6, Resulting Numbers: [20, 98, 6]
Generated Node #2: [20, 98, 6] from Operation: 96/16=6
Current State: 84:[20, 98, 6], Operations: ['96/16=6']
Exploring Operation: 98-20=78, Resulting Numbers: [6, 78]
Generated Node #3: [6, 78] from Operation: 98-20=78
Current State: 84:[6, 78], Operations: ['96/16=6', '98-20=78']
Exploring Operation: 6+78=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
59,
3,
57,
96
] | 51 | [
"59-57=2",
"96/2=48",
"3+48=51"
] | Current State: 51:[59, 3, 57, 96], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [3, 96, 2]
Generated Node #2: [3, 96, 2] from Operation: 59-57=2
Current State: 51:[3, 96, 2], Operations: ['59-57=2']
Exploring Operation: 96/2=48, Resulting Numbers: [3, 48]
Generated Node #3: [3, 48] from Operation: 96/2=48
Current State: 51:[3, 48], Operations: ['59-57=2', '96/2=48']
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
34,
42,
4,
18
] | 62 | [
"34+42=76",
"18-4=14",
"76-14=62"
] | Current State: 62:[34, 42, 4, 18], Operations: []
Exploring Operation: 34+42=76, Resulting Numbers: [4, 18, 76]
Generated Node #2: [4, 18, 76] from Operation: 34+42=76
Current State: 62:[4, 18, 76], Operations: ['34+42=76']
Exploring Operation: 18-4=14, Resulting Numbers: [76, 14]
Generated Node #3: [76, 14] from Operation: 18-4=14
Current State: 62:[76, 14], Operations: ['34+42=76', '18-4=14']
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
4,
9,
35,
96
] | 89 | [
"9-4=5",
"35/5=7",
"96-7=89"
] | Current State: 89:[4, 9, 35, 96], Operations: []
Exploring Operation: 9-4=5, Resulting Numbers: [35, 96, 5]
Generated Node #2: [35, 96, 5] from Operation: 9-4=5
Current State: 89:[35, 96, 5], Operations: ['9-4=5']
Exploring Operation: 35/5=7, Resulting Numbers: [96, 7]
Generated Node #3: [96, 7] from Operation: 35/5=7
Current State: 89:[96, 7], Operations: ['9-4=5', '35/5=7']
Exploring Operation: 96-7=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
48,
95,
78,
61
] | 89 | [
"61-48=13",
"78/13=6",
"95-6=89"
] | Current State: 89:[48, 95, 78, 61], Operations: []
Exploring Operation: 61-48=13, Resulting Numbers: [95, 78, 13]
Generated Node #2: [95, 78, 13] from Operation: 61-48=13
Current State: 89:[95, 78, 13], Operations: ['61-48=13']
Exploring Operation: 78/13=6, Resulting Numbers: [95, 6]
Generated Node #3: [95, 6] from Operation: 78/13=6
Current State: 89:[95, 6], Operations: ['61-48=13', '78/13=6']
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
70,
43,
19,
64
] | 18 | [
"70-43=27",
"64-19=45",
"45-27=18"
] | Current State: 18:[70, 43, 19, 64], Operations: []
Exploring Operation: 70-43=27, Resulting Numbers: [19, 64, 27]
Generated Node #2: [19, 64, 27] from Operation: 70-43=27
Current State: 18:[19, 64, 27], Operations: ['70-43=27']
Exploring Operation: 64-19=45, Resulting Numbers: [27, 45]
Generated Node #3: [27, 45] from Operation: 64-19=45
Current State: 18:[27, 45], Operations: ['70-43=27', '64-19=45']
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
95,
46,
66,
26
] | 91 | [
"95+66=161",
"26*161=4186",
"4186/46=91"
] | Current State: 91:[95, 46, 66, 26], Operations: []
Exploring Operation: 95+66=161, Resulting Numbers: [46, 26, 161]
Generated Node #2: [46, 26, 161] from Operation: 95+66=161
Current State: 91:[46, 26, 161], Operations: ['95+66=161']
Exploring Operation: 26*161=4186, Resulting Numbers: [46, 4186]
Generated Node #3: [46, 4186] from Operation: 26*161=4186
Current State: 91:[46, 4186], Operations: ['95+66=161', '26*161=4186']
Exploring Operation: 4186/46=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
11,
15,
55,
18
] | 93 | [
"55/11=5",
"15*5=75",
"18+75=93"
] | Current State: 93:[11, 15, 55, 18], Operations: []
Exploring Operation: 55/11=5, Resulting Numbers: [15, 18, 5]
Generated Node #2: [15, 18, 5] from Operation: 55/11=5
Current State: 93:[15, 18, 5], Operations: ['55/11=5']
Exploring Operation: 15*5=75, Resulting Numbers: [18, 75]
Generated Node #3: [18, 75] from Operation: 15*5=75
Current State: 93:[18, 75], Operations: ['55/11=5', '15*5=75']
Exploring Operation: 18+75=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
53,
31,
28,
84
] | 29 | [
"53+31=84",
"84/84=1",
"28+1=29"
] | Current State: 29:[53, 31, 28, 84], Operations: []
Exploring Operation: 53+31=84, Resulting Numbers: [28, 84, 84]
Generated Node #2: [28, 84, 84] from Operation: 53+31=84
Current State: 29:[28, 84, 84], Operations: ['53+31=84']
Exploring Operation: 84/84=1, Resulting Numbers: [28, 1]
Generated Node #3: [28, 1] from Operation: 84/84=1
Current State: 29:[28, 1], Operations: ['53+31=84', '84/84=1']
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
44,
53,
57,
92
] | 26 | [
"53-44=9",
"92-57=35",
"35-9=26"
] | Current State: 26:[44, 53, 57, 92], Operations: []
Exploring Operation: 53-44=9, Resulting Numbers: [57, 92, 9]
Generated Node #2: [57, 92, 9] from Operation: 53-44=9
Current State: 26:[57, 92, 9], Operations: ['53-44=9']
Exploring Operation: 92-57=35, Resulting Numbers: [9, 35]
Generated Node #3: [9, 35] from Operation: 92-57=35
Current State: 26:[9, 35], Operations: ['53-44=9', '92-57=35']
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
61,
8,
22,
70
] | 66 | [
"22-8=14",
"70/14=5",
"61+5=66"
] | Current State: 66:[61, 8, 22, 70], Operations: []
Exploring Operation: 22-8=14, Resulting Numbers: [61, 70, 14]
Generated Node #2: [61, 70, 14] from Operation: 22-8=14
Current State: 66:[61, 70, 14], Operations: ['22-8=14']
Exploring Operation: 70/14=5, Resulting Numbers: [61, 5]
Generated Node #3: [61, 5] from Operation: 70/14=5
Current State: 66:[61, 5], Operations: ['22-8=14', '70/14=5']
Exploring Operation: 61+5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
51,
58,
5,
25
] | 72 | [
"51-25=26",
"5*26=130",
"130-58=72"
] | Current State: 72:[51, 58, 5, 25], Operations: []
Exploring Operation: 51-25=26, Resulting Numbers: [58, 5, 26]
Generated Node #2: [58, 5, 26] from Operation: 51-25=26
Current State: 72:[58, 5, 26], Operations: ['51-25=26']
Exploring Operation: 5*26=130, Resulting Numbers: [58, 130]
Generated Node #3: [58, 130] from Operation: 5*26=130
Current State: 72:[58, 130], Operations: ['51-25=26', '5*26=130']
Exploring Operation: 130-58=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
76,
28,
97,
18
] | 84 | [
"97-76=21",
"21-18=3",
"28*3=84"
] | Current State: 84:[76, 28, 97, 18], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [28, 18, 21]
Generated Node #2: [28, 18, 21] from Operation: 97-76=21
Current State: 84:[28, 18, 21], Operations: ['97-76=21']
Exploring Operation: 21-18=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 21-18=3
Current State: 84:[28, 3], Operations: ['97-76=21', '21-18=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
70,
28,
41,
70
] | 28 | [
"70-70=0",
"41*0=0",
"28+0=28"
] | Current State: 28:[70, 28, 41, 70], Operations: []
Exploring Operation: 70-70=0, Resulting Numbers: [28, 41, 0]
Generated Node #2: [28, 41, 0] from Operation: 70-70=0
Current State: 28:[28, 41, 0], Operations: ['70-70=0']
Exploring Operation: 41*0=0, Resulting Numbers: [28, 0]
Generated Node #3: [28, 0] from Operation: 41*0=0
Current State: 28:[28, 0], Operations: ['70-70=0', '41*0=0']
Exploring Operation: 28+0=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
10,
68,
42,
73
] | 47 | [
"10+68=78",
"73-42=31",
"78-31=47"
] | Current State: 47:[10, 68, 42, 73], Operations: []
Exploring Operation: 10+68=78, Resulting Numbers: [42, 73, 78]
Generated Node #2: [42, 73, 78] from Operation: 10+68=78
Current State: 47:[42, 73, 78], Operations: ['10+68=78']
Exploring Operation: 73-42=31, Resulting Numbers: [78, 31]
Generated Node #3: [78, 31] from Operation: 73-42=31
Current State: 47:[78, 31], Operations: ['10+68=78', '73-42=31']
Exploring Operation: 78-31=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
43,
88,
2,
87
] | 45 | [
"43+2=45",
"88-87=1",
"45*1=45"
] | Current State: 45:[43, 88, 2, 87], Operations: []
Exploring Operation: 43+2=45, Resulting Numbers: [88, 87, 45]
Generated Node #2: [88, 87, 45] from Operation: 43+2=45
Current State: 45:[88, 87, 45], Operations: ['43+2=45']
Exploring Operation: 88-87=1, Resulting Numbers: [45, 1]
Generated Node #3: [45, 1] from Operation: 88-87=1
Current State: 45:[45, 1], Operations: ['43+2=45', '88-87=1']
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
2,
67,
52,
80
] | 26 | [
"80-67=13",
"2*13=26",
"52-26=26"
] | Current State: 26:[2, 67, 52, 80], Operations: []
Exploring Operation: 80-67=13, Resulting Numbers: [2, 52, 13]
Generated Node #2: [2, 52, 13] from Operation: 80-67=13
Current State: 26:[2, 52, 13], Operations: ['80-67=13']
Exploring Operation: 2*13=26, Resulting Numbers: [52, 26]
Generated Node #3: [52, 26] from Operation: 2*13=26
Current State: 26:[52, 26], Operations: ['80-67=13', '2*13=26']
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
46,
63,
61,
52
] | 12 | [
"52-46=6",
"63-61=2",
"6*2=12"
] | Current State: 12:[46, 63, 61, 52], Operations: []
Exploring Operation: 52-46=6, Resulting Numbers: [63, 61, 6]
Generated Node #2: [63, 61, 6] from Operation: 52-46=6
Current State: 12:[63, 61, 6], Operations: ['52-46=6']
Exploring Operation: 63-61=2, Resulting Numbers: [6, 2]
Generated Node #3: [6, 2] from Operation: 63-61=2
Current State: 12:[6, 2], Operations: ['52-46=6', '63-61=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
95,
39,
49,
48
] | 36 | [
"95+49=144",
"144/48=3",
"39-3=36"
] | Current State: 36:[95, 39, 49, 48], Operations: []
Exploring Operation: 95+49=144, Resulting Numbers: [39, 48, 144]
Generated Node #2: [39, 48, 144] from Operation: 95+49=144
Current State: 36:[39, 48, 144], Operations: ['95+49=144']
Exploring Operation: 144/48=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 144/48=3
Current State: 36:[39, 3], Operations: ['95+49=144', '144/48=3']
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
65,
17,
87,
45
] | 72 | [
"17+87=104",
"45*104=4680",
"4680/65=72"
] | Current State: 72:[65, 17, 87, 45], Operations: []
Exploring Operation: 17+87=104, Resulting Numbers: [65, 45, 104]
Generated Node #2: [65, 45, 104] from Operation: 17+87=104
Current State: 72:[65, 45, 104], Operations: ['17+87=104']
Exploring Operation: 45*104=4680, Resulting Numbers: [65, 4680]
Generated Node #3: [65, 4680] from Operation: 45*104=4680
Current State: 72:[65, 4680], Operations: ['17+87=104', '45*104=4680']
Exploring Operation: 4680/65=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
14,
12,
21,
70
] | 51 | [
"14-12=2",
"70-21=49",
"2+49=51"
] | Current State: 51:[14, 12, 21, 70], Operations: []
Exploring Operation: 14-12=2, Resulting Numbers: [21, 70, 2]
Generated Node #2: [21, 70, 2] from Operation: 14-12=2
Current State: 51:[21, 70, 2], Operations: ['14-12=2']
Exploring Operation: 70-21=49, Resulting Numbers: [2, 49]
Generated Node #3: [2, 49] from Operation: 70-21=49
Current State: 51:[2, 49], Operations: ['14-12=2', '70-21=49']
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
97,
10,
84,
24
] | 27 | [
"97-10=87",
"84-24=60",
"87-60=27"
] | Current State: 27:[97, 10, 84, 24], Operations: []
Exploring Operation: 97-10=87, Resulting Numbers: [84, 24, 87]
Generated Node #2: [84, 24, 87] from Operation: 97-10=87
Current State: 27:[84, 24, 87], Operations: ['97-10=87']
Exploring Operation: 84-24=60, Resulting Numbers: [87, 60]
Generated Node #3: [87, 60] from Operation: 84-24=60
Current State: 27:[87, 60], Operations: ['97-10=87', '84-24=60']
Exploring Operation: 87-60=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
67,
16,
5,
8
] | 43 | [
"67+16=83",
"5*8=40",
"83-40=43"
] | Current State: 43:[67, 16, 5, 8], Operations: []
Exploring Operation: 67+16=83, Resulting Numbers: [5, 8, 83]
Generated Node #2: [5, 8, 83] from Operation: 67+16=83
Current State: 43:[5, 8, 83], Operations: ['67+16=83']
Exploring Operation: 5*8=40, Resulting Numbers: [83, 40]
Generated Node #3: [83, 40] from Operation: 5*8=40
Current State: 43:[83, 40], Operations: ['67+16=83', '5*8=40']
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
35,
66,
6,
6
] | 67 | [
"66-35=31",
"6*6=36",
"31+36=67"
] | Current State: 67:[35, 66, 6, 6], Operations: []
Exploring Operation: 66-35=31, Resulting Numbers: [6, 6, 31]
Generated Node #2: [6, 6, 31] from Operation: 66-35=31
Current State: 67:[6, 6, 31], Operations: ['66-35=31']
Exploring Operation: 6*6=36, Resulting Numbers: [31, 36]
Generated Node #3: [31, 36] from Operation: 6*6=36
Current State: 67:[31, 36], Operations: ['66-35=31', '6*6=36']
Exploring Operation: 31+36=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
48,
36,
47,
54
] | 53 | [
"54-48=6",
"36/6=6",
"47+6=53"
] | Current State: 53:[48, 36, 47, 54], Operations: []
Exploring Operation: 54-48=6, Resulting Numbers: [36, 47, 6]
Generated Node #2: [36, 47, 6] from Operation: 54-48=6
Current State: 53:[36, 47, 6], Operations: ['54-48=6']
Exploring Operation: 36/6=6, Resulting Numbers: [47, 6]
Generated Node #3: [47, 6] from Operation: 36/6=6
Current State: 53:[47, 6], Operations: ['54-48=6', '36/6=6']
Exploring Operation: 47+6=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
44,
38,
85,
14
] | 93 | [
"44-38=6",
"85+14=99",
"99-6=93"
] | Current State: 93:[44, 38, 85, 14], Operations: []
Exploring Operation: 44-38=6, Resulting Numbers: [85, 14, 6]
Generated Node #2: [85, 14, 6] from Operation: 44-38=6
Current State: 93:[85, 14, 6], Operations: ['44-38=6']
Exploring Operation: 85+14=99, Resulting Numbers: [6, 99]
Generated Node #3: [6, 99] from Operation: 85+14=99
Current State: 93:[6, 99], Operations: ['44-38=6', '85+14=99']
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
4,
30,
78,
69
] | 57 | [
"78-30=48",
"48/4=12",
"69-12=57"
] | Current State: 57:[4, 30, 78, 69], Operations: []
Exploring Operation: 78-30=48, Resulting Numbers: [4, 69, 48]
Generated Node #2: [4, 69, 48] from Operation: 78-30=48
Current State: 57:[4, 69, 48], Operations: ['78-30=48']
Exploring Operation: 48/4=12, Resulting Numbers: [69, 12]
Generated Node #3: [69, 12] from Operation: 48/4=12
Current State: 57:[69, 12], Operations: ['78-30=48', '48/4=12']
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
16,
77,
54,
55
] | 98 | [
"16+54=70",
"77*70=5390",
"5390/55=98"
] | Current State: 98:[16, 77, 54, 55], Operations: []
Exploring Operation: 16+54=70, Resulting Numbers: [77, 55, 70]
Generated Node #2: [77, 55, 70] from Operation: 16+54=70
Current State: 98:[77, 55, 70], Operations: ['16+54=70']
Exploring Operation: 77*70=5390, Resulting Numbers: [55, 5390]
Generated Node #3: [55, 5390] from Operation: 77*70=5390
Current State: 98:[55, 5390], Operations: ['16+54=70', '77*70=5390']
Exploring Operation: 5390/55=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
8,
96,
11,
57
] | 75 | [
"8*96=768",
"57+768=825",
"825/11=75"
] | Current State: 75:[8, 96, 11, 57], Operations: []
Exploring Operation: 8*96=768, Resulting Numbers: [11, 57, 768]
Generated Node #2: [11, 57, 768] from Operation: 8*96=768
Current State: 75:[11, 57, 768], Operations: ['8*96=768']
Exploring Operation: 57+768=825, Resulting Numbers: [11, 825]
Generated Node #3: [11, 825] from Operation: 57+768=825
Current State: 75:[11, 825], Operations: ['8*96=768', '57+768=825']
Exploring Operation: 825/11=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
22,
66,
35,
58
] | 21 | [
"66-22=44",
"58-35=23",
"44-23=21"
] | Current State: 21:[22, 66, 35, 58], Operations: []
Exploring Operation: 66-22=44, Resulting Numbers: [35, 58, 44]
Generated Node #2: [35, 58, 44] from Operation: 66-22=44
Current State: 21:[35, 58, 44], Operations: ['66-22=44']
Exploring Operation: 58-35=23, Resulting Numbers: [44, 23]
Generated Node #3: [44, 23] from Operation: 58-35=23
Current State: 21:[44, 23], Operations: ['66-22=44', '58-35=23']
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
19,
21,
69,
88
] | 50 | [
"21-19=2",
"69*2=138",
"138-88=50"
] | Current State: 50:[19, 21, 69, 88], Operations: []
Exploring Operation: 21-19=2, Resulting Numbers: [69, 88, 2]
Generated Node #2: [69, 88, 2] from Operation: 21-19=2
Current State: 50:[69, 88, 2], Operations: ['21-19=2']
Exploring Operation: 69*2=138, Resulting Numbers: [88, 138]
Generated Node #3: [88, 138] from Operation: 69*2=138
Current State: 50:[88, 138], Operations: ['21-19=2', '69*2=138']
Exploring Operation: 138-88=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
18,
29,
50,
53
] | 23 | [
"53-50=3",
"18/3=6",
"29-6=23"
] | Current State: 23:[18, 29, 50, 53], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [18, 29, 3]
Generated Node #2: [18, 29, 3] from Operation: 53-50=3
Current State: 23:[18, 29, 3], Operations: ['53-50=3']
Exploring Operation: 18/3=6, Resulting Numbers: [29, 6]
Generated Node #3: [29, 6] from Operation: 18/3=6
Current State: 23:[29, 6], Operations: ['53-50=3', '18/3=6']
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
67,
19,
72,
98
] | 60 | [
"67+19=86",
"98-72=26",
"86-26=60"
] | Current State: 60:[67, 19, 72, 98], Operations: []
Exploring Operation: 67+19=86, Resulting Numbers: [72, 98, 86]
Generated Node #2: [72, 98, 86] from Operation: 67+19=86
Current State: 60:[72, 98, 86], Operations: ['67+19=86']
Exploring Operation: 98-72=26, Resulting Numbers: [86, 26]
Generated Node #3: [86, 26] from Operation: 98-72=26
Current State: 60:[86, 26], Operations: ['67+19=86', '98-72=26']
Exploring Operation: 86-26=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
88,
33,
15,
26
] | 85 | [
"26-15=11",
"33/11=3",
"88-3=85"
] | Current State: 85:[88, 33, 15, 26], Operations: []
Exploring Operation: 26-15=11, Resulting Numbers: [88, 33, 11]
Generated Node #2: [88, 33, 11] from Operation: 26-15=11
Current State: 85:[88, 33, 11], Operations: ['26-15=11']
Exploring Operation: 33/11=3, Resulting Numbers: [88, 3]
Generated Node #3: [88, 3] from Operation: 33/11=3
Current State: 85:[88, 3], Operations: ['26-15=11', '33/11=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
34,
31,
33,
50
] | 20 | [
"34-31=3",
"50-33=17",
"3+17=20"
] | Current State: 20:[34, 31, 33, 50], Operations: []
Exploring Operation: 34-31=3, Resulting Numbers: [33, 50, 3]
Generated Node #2: [33, 50, 3] from Operation: 34-31=3
Current State: 20:[33, 50, 3], Operations: ['34-31=3']
Exploring Operation: 50-33=17, Resulting Numbers: [3, 17]
Generated Node #3: [3, 17] from Operation: 50-33=17
Current State: 20:[3, 17], Operations: ['34-31=3', '50-33=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
76,
6,
94,
51
] | 63 | [
"76+6=82",
"94+51=145",
"145-82=63"
] | Current State: 63:[76, 6, 94, 51], Operations: []
Exploring Operation: 76+6=82, Resulting Numbers: [94, 51, 82]
Generated Node #2: [94, 51, 82] from Operation: 76+6=82
Current State: 63:[94, 51, 82], Operations: ['76+6=82']
Exploring Operation: 94+51=145, Resulting Numbers: [82, 145]
Generated Node #3: [82, 145] from Operation: 94+51=145
Current State: 63:[82, 145], Operations: ['76+6=82', '94+51=145']
Exploring Operation: 145-82=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
28,
61,
95,
3
] | 72 | [
"28*3=84",
"61+95=156",
"156-84=72"
] | Current State: 72:[28, 61, 95, 3], Operations: []
Exploring Operation: 28*3=84, Resulting Numbers: [61, 95, 84]
Generated Node #2: [61, 95, 84] from Operation: 28*3=84
Current State: 72:[61, 95, 84], Operations: ['28*3=84']
Exploring Operation: 61+95=156, Resulting Numbers: [84, 156]
Generated Node #3: [84, 156] from Operation: 61+95=156
Current State: 72:[84, 156], Operations: ['28*3=84', '61+95=156']
Exploring Operation: 156-84=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
25,
9,
19,
13
] | 16 | [
"25-9=16",
"19+13=32",
"32-16=16"
] | Current State: 16:[25, 9, 19, 13], Operations: []
Exploring Operation: 25-9=16, Resulting Numbers: [19, 13, 16]
Generated Node #2: [19, 13, 16] from Operation: 25-9=16
Current State: 16:[19, 13, 16], Operations: ['25-9=16']
Exploring Operation: 19+13=32, Resulting Numbers: [16, 32]
Generated Node #3: [16, 32] from Operation: 19+13=32
Current State: 16:[16, 32], Operations: ['25-9=16', '19+13=32']
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
82,
11,
19,
50
] | 77 | [
"82+50=132",
"11*19=209",
"209-132=77"
] | Current State: 77:[82, 11, 19, 50], Operations: []
Exploring Operation: 82+50=132, Resulting Numbers: [11, 19, 132]
Generated Node #2: [11, 19, 132] from Operation: 82+50=132
Current State: 77:[11, 19, 132], Operations: ['82+50=132']
Exploring Operation: 11*19=209, Resulting Numbers: [132, 209]
Generated Node #3: [132, 209] from Operation: 11*19=209
Current State: 77:[132, 209], Operations: ['82+50=132', '11*19=209']
Exploring Operation: 209-132=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
8,
34,
8,
77
] | 59 | [
"34-8=26",
"8+77=85",
"85-26=59"
] | Current State: 59:[8, 34, 8, 77], Operations: []
Exploring Operation: 34-8=26, Resulting Numbers: [77, 26]
Generated Node #2: [77, 26] from Operation: 34-8=26
Current State: 59:[77, 26], Operations: ['34-8=26']
Exploring Operation: 8+77=85, Resulting Numbers: [26, 85]
Generated Node #3: [26, 85] from Operation: 8+77=85
Current State: 59:[26, 85], Operations: ['34-8=26', '8+77=85']
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
64,
95,
4,
22
] | 73 | [
"64-22=42",
"4*42=168",
"168-95=73"
] | Current State: 73:[64, 95, 4, 22], Operations: []
Exploring Operation: 64-22=42, Resulting Numbers: [95, 4, 42]
Generated Node #2: [95, 4, 42] from Operation: 64-22=42
Current State: 73:[95, 4, 42], Operations: ['64-22=42']
Exploring Operation: 4*42=168, Resulting Numbers: [95, 168]
Generated Node #3: [95, 168] from Operation: 4*42=168
Current State: 73:[95, 168], Operations: ['64-22=42', '4*42=168']
Exploring Operation: 168-95=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
22,
14,
31,
44
] | 23 | [
"22+14=36",
"44-31=13",
"36-13=23"
] | Current State: 23:[22, 14, 31, 44], Operations: []
Exploring Operation: 22+14=36, Resulting Numbers: [31, 44, 36]
Generated Node #2: [31, 44, 36] from Operation: 22+14=36
Current State: 23:[31, 44, 36], Operations: ['22+14=36']
Exploring Operation: 44-31=13, Resulting Numbers: [36, 13]
Generated Node #3: [36, 13] from Operation: 44-31=13
Current State: 23:[36, 13], Operations: ['22+14=36', '44-31=13']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
77,
21,
2,
69
] | 15 | [
"77-21=56",
"2+69=71",
"71-56=15"
] | Current State: 15:[77, 21, 2, 69], Operations: []
Exploring Operation: 77-21=56, Resulting Numbers: [2, 69, 56]
Generated Node #2: [2, 69, 56] from Operation: 77-21=56
Current State: 15:[2, 69, 56], Operations: ['77-21=56']
Exploring Operation: 2+69=71, Resulting Numbers: [56, 71]
Generated Node #3: [56, 71] from Operation: 2+69=71
Current State: 15:[56, 71], Operations: ['77-21=56', '2+69=71']
Exploring Operation: 71-56=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
4,
95,
67,
26
] | 86 | [
"95-67=28",
"4*28=112",
"112-26=86"
] | Current State: 86:[4, 95, 67, 26], Operations: []
Exploring Operation: 95-67=28, Resulting Numbers: [4, 26, 28]
Generated Node #2: [4, 26, 28] from Operation: 95-67=28
Current State: 86:[4, 26, 28], Operations: ['95-67=28']
Exploring Operation: 4*28=112, Resulting Numbers: [26, 112]
Generated Node #3: [26, 112] from Operation: 4*28=112
Current State: 86:[26, 112], Operations: ['95-67=28', '4*28=112']
Exploring Operation: 112-26=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
99,
57,
2,
89
] | 77 | [
"99-89=10",
"2*10=20",
"57+20=77"
] | Current State: 77:[99, 57, 2, 89], Operations: []
Exploring Operation: 99-89=10, Resulting Numbers: [57, 2, 10]
Generated Node #2: [57, 2, 10] from Operation: 99-89=10
Current State: 77:[57, 2, 10], Operations: ['99-89=10']
Exploring Operation: 2*10=20, Resulting Numbers: [57, 20]
Generated Node #3: [57, 20] from Operation: 2*10=20
Current State: 77:[57, 20], Operations: ['99-89=10', '2*10=20']
Exploring Operation: 57+20=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
66,
47,
42,
56
] | 41 | [
"66*56=3696",
"3696/42=88",
"88-47=41"
] | Current State: 41:[66, 47, 42, 56], Operations: []
Exploring Operation: 66*56=3696, Resulting Numbers: [47, 42, 3696]
Generated Node #2: [47, 42, 3696] from Operation: 66*56=3696
Current State: 41:[47, 42, 3696], Operations: ['66*56=3696']
Exploring Operation: 3696/42=88, Resulting Numbers: [47, 88]
Generated Node #3: [47, 88] from Operation: 3696/42=88
Current State: 41:[47, 88], Operations: ['66*56=3696', '3696/42=88']
Exploring Operation: 88-47=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
54,
8,
50,
52
] | 65 | [
"54+50=104",
"104/8=13",
"52+13=65"
] | Current State: 65:[54, 8, 50, 52], Operations: []
Exploring Operation: 54+50=104, Resulting Numbers: [8, 52, 104]
Generated Node #2: [8, 52, 104] from Operation: 54+50=104
Current State: 65:[8, 52, 104], Operations: ['54+50=104']
Exploring Operation: 104/8=13, Resulting Numbers: [52, 13]
Generated Node #3: [52, 13] from Operation: 104/8=13
Current State: 65:[52, 13], Operations: ['54+50=104', '104/8=13']
Exploring Operation: 52+13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
72,
46,
20,
3
] | 30 | [
"72-3=69",
"20*69=1380",
"1380/46=30"
] | Current State: 30:[72, 46, 20, 3], Operations: []
Exploring Operation: 72-3=69, Resulting Numbers: [46, 20, 69]
Generated Node #2: [46, 20, 69] from Operation: 72-3=69
Current State: 30:[46, 20, 69], Operations: ['72-3=69']
Exploring Operation: 20*69=1380, Resulting Numbers: [46, 1380]
Generated Node #3: [46, 1380] from Operation: 20*69=1380
Current State: 30:[46, 1380], Operations: ['72-3=69', '20*69=1380']
Exploring Operation: 1380/46=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
12,
11,
78,
95
] | 41 | [
"12*11=132",
"78+95=173",
"173-132=41"
] | Current State: 41:[12, 11, 78, 95], Operations: []
Exploring Operation: 12*11=132, Resulting Numbers: [78, 95, 132]
Generated Node #2: [78, 95, 132] from Operation: 12*11=132
Current State: 41:[78, 95, 132], Operations: ['12*11=132']
Exploring Operation: 78+95=173, Resulting Numbers: [132, 173]
Generated Node #3: [132, 173] from Operation: 78+95=173
Current State: 41:[132, 173], Operations: ['12*11=132', '78+95=173']
Exploring Operation: 173-132=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
47,
88,
3,
26
] | 28 | [
"47-3=44",
"88/44=2",
"26+2=28"
] | Current State: 28:[47, 88, 3, 26], Operations: []
Exploring Operation: 47-3=44, Resulting Numbers: [88, 26, 44]
Generated Node #2: [88, 26, 44] from Operation: 47-3=44
Current State: 28:[88, 26, 44], Operations: ['47-3=44']
Exploring Operation: 88/44=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 88/44=2
Current State: 28:[26, 2], Operations: ['47-3=44', '88/44=2']
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
41,
74,
74,
60
] | 19 | [
"41+74=115",
"74+60=134",
"134-115=19"
] | Current State: 19:[41, 74, 74, 60], Operations: []
Exploring Operation: 41+74=115, Resulting Numbers: [60, 115]
Generated Node #2: [60, 115] from Operation: 41+74=115
Current State: 19:[60, 115], Operations: ['41+74=115']
Exploring Operation: 74+60=134, Resulting Numbers: [115, 134]
Generated Node #3: [115, 134] from Operation: 74+60=134
Current State: 19:[115, 134], Operations: ['41+74=115', '74+60=134']
Exploring Operation: 134-115=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
24,
94,
47,
65
] | 87 | [
"24+65=89",
"94/47=2",
"89-2=87"
] | Current State: 87:[24, 94, 47, 65], Operations: []
Exploring Operation: 24+65=89, Resulting Numbers: [94, 47, 89]
Generated Node #2: [94, 47, 89] from Operation: 24+65=89
Current State: 87:[94, 47, 89], Operations: ['24+65=89']
Exploring Operation: 94/47=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 94/47=2
Current State: 87:[89, 2], Operations: ['24+65=89', '94/47=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
71,
76,
33,
19
] | 95 | [
"71+76=147",
"33+19=52",
"147-52=95"
] | Current State: 95:[71, 76, 33, 19], Operations: []
Exploring Operation: 71+76=147, Resulting Numbers: [33, 19, 147]
Generated Node #2: [33, 19, 147] from Operation: 71+76=147
Current State: 95:[33, 19, 147], Operations: ['71+76=147']
Exploring Operation: 33+19=52, Resulting Numbers: [147, 52]
Generated Node #3: [147, 52] from Operation: 33+19=52
Current State: 95:[147, 52], Operations: ['71+76=147', '33+19=52']
Exploring Operation: 147-52=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
18,
97,
2,
52
] | 62 | [
"18+52=70",
"70/2=35",
"97-35=62"
] | Current State: 62:[18, 97, 2, 52], Operations: []
Exploring Operation: 18+52=70, Resulting Numbers: [97, 2, 70]
Generated Node #2: [97, 2, 70] from Operation: 18+52=70
Current State: 62:[97, 2, 70], Operations: ['18+52=70']
Exploring Operation: 70/2=35, Resulting Numbers: [97, 35]
Generated Node #3: [97, 35] from Operation: 70/2=35
Current State: 62:[97, 35], Operations: ['18+52=70', '70/2=35']
Exploring Operation: 97-35=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
92,
26,
89,
28
] | 58 | [
"92-89=3",
"28*3=84",
"84-26=58"
] | Current State: 58:[92, 26, 89, 28], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [26, 28, 3]
Generated Node #2: [26, 28, 3] from Operation: 92-89=3
Current State: 58:[26, 28, 3], Operations: ['92-89=3']
Exploring Operation: 28*3=84, Resulting Numbers: [26, 84]
Generated Node #3: [26, 84] from Operation: 28*3=84
Current State: 58:[26, 84], Operations: ['92-89=3', '28*3=84']
Exploring Operation: 84-26=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
33,
37,
20,
23
] | 36 | [
"37+23=60",
"60/20=3",
"33+3=36"
] | Current State: 36:[33, 37, 20, 23], Operations: []
Exploring Operation: 37+23=60, Resulting Numbers: [33, 20, 60]
Generated Node #2: [33, 20, 60] from Operation: 37+23=60
Current State: 36:[33, 20, 60], Operations: ['37+23=60']
Exploring Operation: 60/20=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 60/20=3
Current State: 36:[33, 3], Operations: ['37+23=60', '60/20=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
43,
54,
13,
13
] | 12 | [
"54-43=11",
"13/13=1",
"11+1=12"
] | Current State: 12:[43, 54, 13, 13], Operations: []
Exploring Operation: 54-43=11, Resulting Numbers: [13, 13, 11]
Generated Node #2: [13, 13, 11] from Operation: 54-43=11
Current State: 12:[13, 13, 11], Operations: ['54-43=11']
Exploring Operation: 13/13=1, Resulting Numbers: [11, 1]
Generated Node #3: [11, 1] from Operation: 13/13=1
Current State: 12:[11, 1], Operations: ['54-43=11', '13/13=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
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