nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
6,
52,
3,
47
] | 71 | [
"47-6=41",
"3*41=123",
"123-52=71"
] | Current State: 71:[6, 52, 3, 47], Operations: []
Exploring Operation: 47-6=41, Resulting Numbers: [52, 3, 41]
Generated Node #2: [52, 3, 41] from Operation: 47-6=41
Current State: 71:[52, 3, 41], Operations: ['47-6=41']
Exploring Operation: 3*41=123, Resulting Numbers: [52, 123]
Generated Node #3: [52, 123] from Operation: 3*41=123
Current State: 71:[52, 123], Operations: ['47-6=41', '3*41=123']
Exploring Operation: 123-52=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
74,
9,
5,
55
] | 50 | [
"74-9=65",
"65-55=10",
"5*10=50"
] | Current State: 50:[74, 9, 5, 55], Operations: []
Exploring Operation: 74-9=65, Resulting Numbers: [5, 55, 65]
Generated Node #2: [5, 55, 65] from Operation: 74-9=65
Current State: 50:[5, 55, 65], Operations: ['74-9=65']
Exploring Operation: 65-55=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 65-55=10
Current State: 50:[5, 10], Operations: ['74-9=65', '65-55=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
67,
46,
26,
54
] | 23 | [
"67-54=13",
"46*13=598",
"598/26=23"
] | Current State: 23:[67, 46, 26, 54], Operations: []
Exploring Operation: 67-54=13, Resulting Numbers: [46, 26, 13]
Generated Node #2: [46, 26, 13] from Operation: 67-54=13
Current State: 23:[46, 26, 13], Operations: ['67-54=13']
Exploring Operation: 46*13=598, Resulting Numbers: [26, 598]
Generated Node #3: [26, 598] from Operation: 46*13=598
Current State: 23:[26, 598], Operations: ['67-54=13', '46*13=598']
Exploring Operation: 598/26=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
7,
59,
54,
61
] | 96 | [
"59-54=5",
"7*5=35",
"61+35=96"
] | Current State: 96:[7, 59, 54, 61], Operations: []
Exploring Operation: 59-54=5, Resulting Numbers: [7, 61, 5]
Generated Node #2: [7, 61, 5] from Operation: 59-54=5
Current State: 96:[7, 61, 5], Operations: ['59-54=5']
Exploring Operation: 7*5=35, Resulting Numbers: [61, 35]
Generated Node #3: [61, 35] from Operation: 7*5=35
Current State: 96:[61, 35], Operations: ['59-54=5', '7*5=35']
Exploring Operation: 61+35=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
67,
30,
25,
15
] | 27 | [
"67-30=37",
"25-15=10",
"37-10=27"
] | Current State: 27:[67, 30, 25, 15], Operations: []
Exploring Operation: 67-30=37, Resulting Numbers: [25, 15, 37]
Generated Node #2: [25, 15, 37] from Operation: 67-30=37
Current State: 27:[25, 15, 37], Operations: ['67-30=37']
Exploring Operation: 25-15=10, Resulting Numbers: [37, 10]
Generated Node #3: [37, 10] from Operation: 25-15=10
Current State: 27:[37, 10], Operations: ['67-30=37', '25-15=10']
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
25,
36,
29,
67
] | 23 | [
"25+36=61",
"67-29=38",
"61-38=23"
] | Current State: 23:[25, 36, 29, 67], Operations: []
Exploring Operation: 25+36=61, Resulting Numbers: [29, 67, 61]
Generated Node #2: [29, 67, 61] from Operation: 25+36=61
Current State: 23:[29, 67, 61], Operations: ['25+36=61']
Exploring Operation: 67-29=38, Resulting Numbers: [61, 38]
Generated Node #3: [61, 38] from Operation: 67-29=38
Current State: 23:[61, 38], Operations: ['25+36=61', '67-29=38']
Exploring Operation: 61-38=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
65,
58,
15,
8
] | 48 | [
"65+15=80",
"80/8=10",
"58-10=48"
] | Current State: 48:[65, 58, 15, 8], Operations: []
Exploring Operation: 65+15=80, Resulting Numbers: [58, 8, 80]
Generated Node #2: [58, 8, 80] from Operation: 65+15=80
Current State: 48:[58, 8, 80], Operations: ['65+15=80']
Exploring Operation: 80/8=10, Resulting Numbers: [58, 10]
Generated Node #3: [58, 10] from Operation: 80/8=10
Current State: 48:[58, 10], Operations: ['65+15=80', '80/8=10']
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
27,
87,
60,
30
] | 81 | [
"30-27=3",
"87-60=27",
"3*27=81"
] | Current State: 81:[27, 87, 60, 30], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [87, 60, 3]
Generated Node #2: [87, 60, 3] from Operation: 30-27=3
Current State: 81:[87, 60, 3], Operations: ['30-27=3']
Exploring Operation: 87-60=27, Resulting Numbers: [3, 27]
Generated Node #3: [3, 27] from Operation: 87-60=27
Current State: 81:[3, 27], Operations: ['30-27=3', '87-60=27']
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
68,
9,
82,
8
] | 86 | [
"82-68=14",
"9*8=72",
"14+72=86"
] | Current State: 86:[68, 9, 82, 8], Operations: []
Exploring Operation: 82-68=14, Resulting Numbers: [9, 8, 14]
Generated Node #2: [9, 8, 14] from Operation: 82-68=14
Current State: 86:[9, 8, 14], Operations: ['82-68=14']
Exploring Operation: 9*8=72, Resulting Numbers: [14, 72]
Generated Node #3: [14, 72] from Operation: 9*8=72
Current State: 86:[14, 72], Operations: ['82-68=14', '9*8=72']
Exploring Operation: 14+72=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
63,
78,
50,
85
] | 20 | [
"78-63=15",
"85-50=35",
"35-15=20"
] | Current State: 20:[63, 78, 50, 85], Operations: []
Exploring Operation: 78-63=15, Resulting Numbers: [50, 85, 15]
Generated Node #2: [50, 85, 15] from Operation: 78-63=15
Current State: 20:[50, 85, 15], Operations: ['78-63=15']
Exploring Operation: 85-50=35, Resulting Numbers: [15, 35]
Generated Node #3: [15, 35] from Operation: 85-50=35
Current State: 20:[15, 35], Operations: ['78-63=15', '85-50=35']
Exploring Operation: 35-15=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
61,
41,
95,
34
] | 27 | [
"61+41=102",
"95+34=129",
"129-102=27"
] | Current State: 27:[61, 41, 95, 34], Operations: []
Exploring Operation: 61+41=102, Resulting Numbers: [95, 34, 102]
Generated Node #2: [95, 34, 102] from Operation: 61+41=102
Current State: 27:[95, 34, 102], Operations: ['61+41=102']
Exploring Operation: 95+34=129, Resulting Numbers: [102, 129]
Generated Node #3: [102, 129] from Operation: 95+34=129
Current State: 27:[102, 129], Operations: ['61+41=102', '95+34=129']
Exploring Operation: 129-102=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
69,
11,
73,
1
] | 14 | [
"69-11=58",
"73-1=72",
"72-58=14"
] | Current State: 14:[69, 11, 73, 1], Operations: []
Exploring Operation: 69-11=58, Resulting Numbers: [73, 1, 58]
Generated Node #2: [73, 1, 58] from Operation: 69-11=58
Current State: 14:[73, 1, 58], Operations: ['69-11=58']
Exploring Operation: 73-1=72, Resulting Numbers: [58, 72]
Generated Node #3: [58, 72] from Operation: 73-1=72
Current State: 14:[58, 72], Operations: ['69-11=58', '73-1=72']
Exploring Operation: 72-58=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
6,
89,
65,
96
] | 64 | [
"6+89=95",
"96-65=31",
"95-31=64"
] | Current State: 64:[6, 89, 65, 96], Operations: []
Exploring Operation: 6+89=95, Resulting Numbers: [65, 96, 95]
Generated Node #2: [65, 96, 95] from Operation: 6+89=95
Current State: 64:[65, 96, 95], Operations: ['6+89=95']
Exploring Operation: 96-65=31, Resulting Numbers: [95, 31]
Generated Node #3: [95, 31] from Operation: 96-65=31
Current State: 64:[95, 31], Operations: ['6+89=95', '96-65=31']
Exploring Operation: 95-31=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
1,
72,
19,
70
] | 74 | [
"19-1=18",
"72/18=4",
"70+4=74"
] | Current State: 74:[1, 72, 19, 70], Operations: []
Exploring Operation: 19-1=18, Resulting Numbers: [72, 70, 18]
Generated Node #2: [72, 70, 18] from Operation: 19-1=18
Current State: 74:[72, 70, 18], Operations: ['19-1=18']
Exploring Operation: 72/18=4, Resulting Numbers: [70, 4]
Generated Node #3: [70, 4] from Operation: 72/18=4
Current State: 74:[70, 4], Operations: ['19-1=18', '72/18=4']
Exploring Operation: 70+4=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
11,
32,
44,
95
] | 96 | [
"11+32=43",
"44+95=139",
"139-43=96"
] | Current State: 96:[11, 32, 44, 95], Operations: []
Exploring Operation: 11+32=43, Resulting Numbers: [44, 95, 43]
Generated Node #2: [44, 95, 43] from Operation: 11+32=43
Current State: 96:[44, 95, 43], Operations: ['11+32=43']
Exploring Operation: 44+95=139, Resulting Numbers: [43, 139]
Generated Node #3: [43, 139] from Operation: 44+95=139
Current State: 96:[43, 139], Operations: ['11+32=43', '44+95=139']
Exploring Operation: 139-43=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
1,
18,
6,
71
] | 73 | [
"71-1=70",
"18/6=3",
"70+3=73"
] | Current State: 73:[1, 18, 6, 71], Operations: []
Exploring Operation: 71-1=70, Resulting Numbers: [18, 6, 70]
Generated Node #2: [18, 6, 70] from Operation: 71-1=70
Current State: 73:[18, 6, 70], Operations: ['71-1=70']
Exploring Operation: 18/6=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 18/6=3
Current State: 73:[70, 3], Operations: ['71-1=70', '18/6=3']
Exploring Operation: 70+3=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
38,
65,
64,
52
] | 39 | [
"65-38=27",
"64-52=12",
"27+12=39"
] | Current State: 39:[38, 65, 64, 52], Operations: []
Exploring Operation: 65-38=27, Resulting Numbers: [64, 52, 27]
Generated Node #2: [64, 52, 27] from Operation: 65-38=27
Current State: 39:[64, 52, 27], Operations: ['65-38=27']
Exploring Operation: 64-52=12, Resulting Numbers: [27, 12]
Generated Node #3: [27, 12] from Operation: 64-52=12
Current State: 39:[27, 12], Operations: ['65-38=27', '64-52=12']
Exploring Operation: 27+12=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
97,
19,
78,
73
] | 83 | [
"97-19=78",
"78-73=5",
"78+5=83"
] | Current State: 83:[97, 19, 78, 73], Operations: []
Exploring Operation: 97-19=78, Resulting Numbers: [78, 73, 78]
Generated Node #2: [78, 73, 78] from Operation: 97-19=78
Current State: 83:[78, 73, 78], Operations: ['97-19=78']
Exploring Operation: 78-73=5, Resulting Numbers: [5]
5,83 equal: Goal Reached
Exploring Operation: 78+5=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
75,
57,
1,
2
] | 21 | [
"75-57=18",
"1+2=3",
"18+3=21"
] | Current State: 21:[75, 57, 1, 2], Operations: []
Exploring Operation: 75-57=18, Resulting Numbers: [1, 2, 18]
Generated Node #2: [1, 2, 18] from Operation: 75-57=18
Current State: 21:[1, 2, 18], Operations: ['75-57=18']
Exploring Operation: 1+2=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 1+2=3
Current State: 21:[18, 3], Operations: ['75-57=18', '1+2=3']
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
5,
18,
65,
80
] | 93 | [
"80-65=15",
"5*15=75",
"18+75=93"
] | Current State: 93:[5, 18, 65, 80], Operations: []
Exploring Operation: 80-65=15, Resulting Numbers: [5, 18, 15]
Generated Node #2: [5, 18, 15] from Operation: 80-65=15
Current State: 93:[5, 18, 15], Operations: ['80-65=15']
Exploring Operation: 5*15=75, Resulting Numbers: [18, 75]
Generated Node #3: [18, 75] from Operation: 5*15=75
Current State: 93:[18, 75], Operations: ['80-65=15', '5*15=75']
Exploring Operation: 18+75=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
43,
85,
3,
18
] | 74 | [
"43+85=128",
"3*18=54",
"128-54=74"
] | Current State: 74:[43, 85, 3, 18], Operations: []
Exploring Operation: 43+85=128, Resulting Numbers: [3, 18, 128]
Generated Node #2: [3, 18, 128] from Operation: 43+85=128
Current State: 74:[3, 18, 128], Operations: ['43+85=128']
Exploring Operation: 3*18=54, Resulting Numbers: [128, 54]
Generated Node #3: [128, 54] from Operation: 3*18=54
Current State: 74:[128, 54], Operations: ['43+85=128', '3*18=54']
Exploring Operation: 128-54=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
86,
64,
68,
14
] | 68 | [
"86+64=150",
"68+14=82",
"150-82=68"
] | Current State: 68:[86, 64, 68, 14], Operations: []
Exploring Operation: 86+64=150, Resulting Numbers: [68, 14, 150]
Generated Node #2: [68, 14, 150] from Operation: 86+64=150
Current State: 68:[68, 14, 150], Operations: ['86+64=150']
Exploring Operation: 68+14=82, Resulting Numbers: [150, 82]
Generated Node #3: [150, 82] from Operation: 68+14=82
Current State: 68:[150, 82], Operations: ['86+64=150', '68+14=82']
Exploring Operation: 150-82=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
83,
30,
95,
95
] | 83 | [
"95-95=0",
"30*0=0",
"83+0=83"
] | Current State: 83:[83, 30, 95, 95], Operations: []
Exploring Operation: 95-95=0, Resulting Numbers: [83, 30, 0]
Generated Node #2: [83, 30, 0] from Operation: 95-95=0
Current State: 83:[83, 30, 0], Operations: ['95-95=0']
Exploring Operation: 30*0=0, Resulting Numbers: [83, 0]
Generated Node #3: [83, 0] from Operation: 30*0=0
Current State: 83:[83, 0], Operations: ['95-95=0', '30*0=0']
Exploring Operation: 83+0=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
8,
29,
75,
52
] | 20 | [
"29*52=1508",
"1508-8=1500",
"1500/75=20"
] | Current State: 20:[8, 29, 75, 52], Operations: []
Exploring Operation: 29*52=1508, Resulting Numbers: [8, 75, 1508]
Generated Node #2: [8, 75, 1508] from Operation: 29*52=1508
Current State: 20:[8, 75, 1508], Operations: ['29*52=1508']
Exploring Operation: 1508-8=1500, Resulting Numbers: [75, 1500]
Generated Node #3: [75, 1500] from Operation: 1508-8=1500
Current State: 20:[75, 1500], Operations: ['29*52=1508', '1508-8=1500']
Exploring Operation: 1500/75=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
56,
44,
7,
57
] | 76 | [
"56-44=12",
"7+57=64",
"12+64=76"
] | Current State: 76:[56, 44, 7, 57], Operations: []
Exploring Operation: 56-44=12, Resulting Numbers: [7, 57, 12]
Generated Node #2: [7, 57, 12] from Operation: 56-44=12
Current State: 76:[7, 57, 12], Operations: ['56-44=12']
Exploring Operation: 7+57=64, Resulting Numbers: [12, 64]
Generated Node #3: [12, 64] from Operation: 7+57=64
Current State: 76:[12, 64], Operations: ['56-44=12', '7+57=64']
Exploring Operation: 12+64=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
69,
29,
88,
40
] | 88 | [
"69-29=40",
"88+40=128",
"128-40=88"
] | Current State: 88:[69, 29, 88, 40], Operations: []
Exploring Operation: 69-29=40, Resulting Numbers: [88, 40, 40]
Generated Node #2: [88, 40, 40] from Operation: 69-29=40
Current State: 88:[88, 40, 40], Operations: ['69-29=40']
Exploring Operation: 88+40=128, Resulting Numbers: [128]
128,88 equal: Goal Reached
Exploring Operation: 128-40=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
16,
49,
69,
73
] | 46 | [
"16*69=1104",
"73-49=24",
"1104/24=46"
] | Current State: 46:[16, 49, 69, 73], Operations: []
Exploring Operation: 16*69=1104, Resulting Numbers: [49, 73, 1104]
Generated Node #2: [49, 73, 1104] from Operation: 16*69=1104
Current State: 46:[49, 73, 1104], Operations: ['16*69=1104']
Exploring Operation: 73-49=24, Resulting Numbers: [1104, 24]
Generated Node #3: [1104, 24] from Operation: 73-49=24
Current State: 46:[1104, 24], Operations: ['16*69=1104', '73-49=24']
Exploring Operation: 1104/24=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
59,
31,
59,
43
] | 13 | [
"59/59=1",
"43-31=12",
"1+12=13"
] | Current State: 13:[59, 31, 59, 43], Operations: []
Exploring Operation: 59/59=1, Resulting Numbers: [31, 43, 1]
Generated Node #2: [31, 43, 1] from Operation: 59/59=1
Current State: 13:[31, 43, 1], Operations: ['59/59=1']
Exploring Operation: 43-31=12, Resulting Numbers: [1, 12]
Generated Node #3: [1, 12] from Operation: 43-31=12
Current State: 13:[1, 12], Operations: ['59/59=1', '43-31=12']
Exploring Operation: 1+12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
46,
4,
50,
96
] | 95 | [
"46+4=50",
"50/50=1",
"96-1=95"
] | Current State: 95:[46, 4, 50, 96], Operations: []
Exploring Operation: 46+4=50, Resulting Numbers: [50, 96, 50]
Generated Node #2: [50, 96, 50] from Operation: 46+4=50
Current State: 95:[50, 96, 50], Operations: ['46+4=50']
Exploring Operation: 50/50=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 50/50=1
Current State: 95:[96, 1], Operations: ['46+4=50', '50/50=1']
Exploring Operation: 96-1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
50,
82,
85,
46
] | 93 | [
"50+82=132",
"85-46=39",
"132-39=93"
] | Current State: 93:[50, 82, 85, 46], Operations: []
Exploring Operation: 50+82=132, Resulting Numbers: [85, 46, 132]
Generated Node #2: [85, 46, 132] from Operation: 50+82=132
Current State: 93:[85, 46, 132], Operations: ['50+82=132']
Exploring Operation: 85-46=39, Resulting Numbers: [132, 39]
Generated Node #3: [132, 39] from Operation: 85-46=39
Current State: 93:[132, 39], Operations: ['50+82=132', '85-46=39']
Exploring Operation: 132-39=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
85,
25,
82,
30
] | 35 | [
"85-82=3",
"30/3=10",
"25+10=35"
] | Current State: 35:[85, 25, 82, 30], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [25, 30, 3]
Generated Node #2: [25, 30, 3] from Operation: 85-82=3
Current State: 35:[25, 30, 3], Operations: ['85-82=3']
Exploring Operation: 30/3=10, Resulting Numbers: [25, 10]
Generated Node #3: [25, 10] from Operation: 30/3=10
Current State: 35:[25, 10], Operations: ['85-82=3', '30/3=10']
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
44,
44,
84,
36
] | 32 | [
"44+44=88",
"84+36=120",
"120-88=32"
] | Current State: 32:[44, 44, 84, 36], Operations: []
Exploring Operation: 44+44=88, Resulting Numbers: [84, 36, 88]
Generated Node #2: [84, 36, 88] from Operation: 44+44=88
Current State: 32:[84, 36, 88], Operations: ['44+44=88']
Exploring Operation: 84+36=120, Resulting Numbers: [88, 120]
Generated Node #3: [88, 120] from Operation: 84+36=120
Current State: 32:[88, 120], Operations: ['44+44=88', '84+36=120']
Exploring Operation: 120-88=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
54,
3,
49,
51
] | 30 | [
"51-49=2",
"54/2=27",
"3+27=30"
] | Current State: 30:[54, 3, 49, 51], Operations: []
Exploring Operation: 51-49=2, Resulting Numbers: [54, 3, 2]
Generated Node #2: [54, 3, 2] from Operation: 51-49=2
Current State: 30:[54, 3, 2], Operations: ['51-49=2']
Exploring Operation: 54/2=27, Resulting Numbers: [3, 27]
Generated Node #3: [3, 27] from Operation: 54/2=27
Current State: 30:[3, 27], Operations: ['51-49=2', '54/2=27']
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
30,
59,
29,
79
] | 21 | [
"59-30=29",
"79-29=50",
"50-29=21"
] | Current State: 21:[30, 59, 29, 79], Operations: []
Exploring Operation: 59-30=29, Resulting Numbers: [29, 79, 29]
Generated Node #2: [29, 79, 29] from Operation: 59-30=29
Current State: 21:[29, 79, 29], Operations: ['59-30=29']
Exploring Operation: 79-29=50, Resulting Numbers: [50]
50,21 equal: Goal Reached
Exploring Operation: 50-29=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
62,
1,
91,
97
] | 68 | [
"62*1=62",
"97-91=6",
"62+6=68"
] | Current State: 68:[62, 1, 91, 97], Operations: []
Exploring Operation: 62*1=62, Resulting Numbers: [91, 97, 62]
Generated Node #2: [91, 97, 62] from Operation: 62*1=62
Current State: 68:[91, 97, 62], Operations: ['62*1=62']
Exploring Operation: 97-91=6, Resulting Numbers: [62, 6]
Generated Node #3: [62, 6] from Operation: 97-91=6
Current State: 68:[62, 6], Operations: ['62*1=62', '97-91=6']
Exploring Operation: 62+6=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
15,
6,
33,
27
] | 14 | [
"33-6=27",
"27/27=1",
"15-1=14"
] | Current State: 14:[15, 6, 33, 27], Operations: []
Exploring Operation: 33-6=27, Resulting Numbers: [15, 27, 27]
Generated Node #2: [15, 27, 27] from Operation: 33-6=27
Current State: 14:[15, 27, 27], Operations: ['33-6=27']
Exploring Operation: 27/27=1, Resulting Numbers: [15, 1]
Generated Node #3: [15, 1] from Operation: 27/27=1
Current State: 14:[15, 1], Operations: ['33-6=27', '27/27=1']
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
10,
7,
81,
21
] | 57 | [
"10-7=3",
"81-21=60",
"60-3=57"
] | Current State: 57:[10, 7, 81, 21], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [81, 21, 3]
Generated Node #2: [81, 21, 3] from Operation: 10-7=3
Current State: 57:[81, 21, 3], Operations: ['10-7=3']
Exploring Operation: 81-21=60, Resulting Numbers: [3, 60]
Generated Node #3: [3, 60] from Operation: 81-21=60
Current State: 57:[3, 60], Operations: ['10-7=3', '81-21=60']
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
93,
48,
5,
9
] | 49 | [
"93-48=45",
"9-5=4",
"45+4=49"
] | Current State: 49:[93, 48, 5, 9], Operations: []
Exploring Operation: 93-48=45, Resulting Numbers: [5, 9, 45]
Generated Node #2: [5, 9, 45] from Operation: 93-48=45
Current State: 49:[5, 9, 45], Operations: ['93-48=45']
Exploring Operation: 9-5=4, Resulting Numbers: [45, 4]
Generated Node #3: [45, 4] from Operation: 9-5=4
Current State: 49:[45, 4], Operations: ['93-48=45', '9-5=4']
Exploring Operation: 45+4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
29,
36,
47,
23
] | 63 | [
"36-29=7",
"47+23=70",
"70-7=63"
] | Current State: 63:[29, 36, 47, 23], Operations: []
Exploring Operation: 36-29=7, Resulting Numbers: [47, 23, 7]
Generated Node #2: [47, 23, 7] from Operation: 36-29=7
Current State: 63:[47, 23, 7], Operations: ['36-29=7']
Exploring Operation: 47+23=70, Resulting Numbers: [7, 70]
Generated Node #3: [7, 70] from Operation: 47+23=70
Current State: 63:[7, 70], Operations: ['36-29=7', '47+23=70']
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
95,
41,
83,
20
] | 33 | [
"95+41=136",
"83+20=103",
"136-103=33"
] | Current State: 33:[95, 41, 83, 20], Operations: []
Exploring Operation: 95+41=136, Resulting Numbers: [83, 20, 136]
Generated Node #2: [83, 20, 136] from Operation: 95+41=136
Current State: 33:[83, 20, 136], Operations: ['95+41=136']
Exploring Operation: 83+20=103, Resulting Numbers: [136, 103]
Generated Node #3: [136, 103] from Operation: 83+20=103
Current State: 33:[136, 103], Operations: ['95+41=136', '83+20=103']
Exploring Operation: 136-103=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
9,
75,
81,
44
] | 98 | [
"81-75=6",
"9*6=54",
"44+54=98"
] | Current State: 98:[9, 75, 81, 44], Operations: []
Exploring Operation: 81-75=6, Resulting Numbers: [9, 44, 6]
Generated Node #2: [9, 44, 6] from Operation: 81-75=6
Current State: 98:[9, 44, 6], Operations: ['81-75=6']
Exploring Operation: 9*6=54, Resulting Numbers: [44, 54]
Generated Node #3: [44, 54] from Operation: 9*6=54
Current State: 98:[44, 54], Operations: ['81-75=6', '9*6=54']
Exploring Operation: 44+54=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
49,
2,
40,
48
] | 65 | [
"49+40=89",
"48/2=24",
"89-24=65"
] | Current State: 65:[49, 2, 40, 48], Operations: []
Exploring Operation: 49+40=89, Resulting Numbers: [2, 48, 89]
Generated Node #2: [2, 48, 89] from Operation: 49+40=89
Current State: 65:[2, 48, 89], Operations: ['49+40=89']
Exploring Operation: 48/2=24, Resulting Numbers: [89, 24]
Generated Node #3: [89, 24] from Operation: 48/2=24
Current State: 65:[89, 24], Operations: ['49+40=89', '48/2=24']
Exploring Operation: 89-24=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
3,
2,
84,
12
] | 51 | [
"12-3=9",
"84/2=42",
"9+42=51"
] | Current State: 51:[3, 2, 84, 12], Operations: []
Exploring Operation: 12-3=9, Resulting Numbers: [2, 84, 9]
Generated Node #2: [2, 84, 9] from Operation: 12-3=9
Current State: 51:[2, 84, 9], Operations: ['12-3=9']
Exploring Operation: 84/2=42, Resulting Numbers: [9, 42]
Generated Node #3: [9, 42] from Operation: 84/2=42
Current State: 51:[9, 42], Operations: ['12-3=9', '84/2=42']
Exploring Operation: 9+42=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
53,
30,
59,
48
] | 13 | [
"59-53=6",
"30+48=78",
"78/6=13"
] | Current State: 13:[53, 30, 59, 48], Operations: []
Exploring Operation: 59-53=6, Resulting Numbers: [30, 48, 6]
Generated Node #2: [30, 48, 6] from Operation: 59-53=6
Current State: 13:[30, 48, 6], Operations: ['59-53=6']
Exploring Operation: 30+48=78, Resulting Numbers: [6, 78]
Generated Node #3: [6, 78] from Operation: 30+48=78
Current State: 13:[6, 78], Operations: ['59-53=6', '30+48=78']
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
89,
80,
6,
31
] | 23 | [
"89+80=169",
"169-31=138",
"138/6=23"
] | Current State: 23:[89, 80, 6, 31], Operations: []
Exploring Operation: 89+80=169, Resulting Numbers: [6, 31, 169]
Generated Node #2: [6, 31, 169] from Operation: 89+80=169
Current State: 23:[6, 31, 169], Operations: ['89+80=169']
Exploring Operation: 169-31=138, Resulting Numbers: [6, 138]
Generated Node #3: [6, 138] from Operation: 169-31=138
Current State: 23:[6, 138], Operations: ['89+80=169', '169-31=138']
Exploring Operation: 138/6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
57,
27,
97,
93
] | 90 | [
"97+93=190",
"27*190=5130",
"5130/57=90"
] | Current State: 90:[57, 27, 97, 93], Operations: []
Exploring Operation: 97+93=190, Resulting Numbers: [57, 27, 190]
Generated Node #2: [57, 27, 190] from Operation: 97+93=190
Current State: 90:[57, 27, 190], Operations: ['97+93=190']
Exploring Operation: 27*190=5130, Resulting Numbers: [57, 5130]
Generated Node #3: [57, 5130] from Operation: 27*190=5130
Current State: 90:[57, 5130], Operations: ['97+93=190', '27*190=5130']
Exploring Operation: 5130/57=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
55,
88,
24,
67
] | 100 | [
"55+88=143",
"67-24=43",
"143-43=100"
] | Current State: 100:[55, 88, 24, 67], Operations: []
Exploring Operation: 55+88=143, Resulting Numbers: [24, 67, 143]
Generated Node #2: [24, 67, 143] from Operation: 55+88=143
Current State: 100:[24, 67, 143], Operations: ['55+88=143']
Exploring Operation: 67-24=43, Resulting Numbers: [143, 43]
Generated Node #3: [143, 43] from Operation: 67-24=43
Current State: 100:[143, 43], Operations: ['55+88=143', '67-24=43']
Exploring Operation: 143-43=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
6,
4,
86,
75
] | 60 | [
"4+86=90",
"90/6=15",
"75-15=60"
] | Current State: 60:[6, 4, 86, 75], Operations: []
Exploring Operation: 4+86=90, Resulting Numbers: [6, 75, 90]
Generated Node #2: [6, 75, 90] from Operation: 4+86=90
Current State: 60:[6, 75, 90], Operations: ['4+86=90']
Exploring Operation: 90/6=15, Resulting Numbers: [75, 15]
Generated Node #3: [75, 15] from Operation: 90/6=15
Current State: 60:[75, 15], Operations: ['4+86=90', '90/6=15']
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
12,
6,
71,
81
] | 12 | [
"12/6=2",
"81-71=10",
"2+10=12"
] | Current State: 12:[12, 6, 71, 81], Operations: []
Exploring Operation: 12/6=2, Resulting Numbers: [71, 81, 2]
Generated Node #2: [71, 81, 2] from Operation: 12/6=2
Current State: 12:[71, 81, 2], Operations: ['12/6=2']
Exploring Operation: 81-71=10, Resulting Numbers: [2, 10]
Generated Node #3: [2, 10] from Operation: 81-71=10
Current State: 12:[2, 10], Operations: ['12/6=2', '81-71=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
15,
3,
27,
47
] | 49 | [
"47-15=32",
"3*27=81",
"81-32=49"
] | Current State: 49:[15, 3, 27, 47], Operations: []
Exploring Operation: 47-15=32, Resulting Numbers: [3, 27, 32]
Generated Node #2: [3, 27, 32] from Operation: 47-15=32
Current State: 49:[3, 27, 32], Operations: ['47-15=32']
Exploring Operation: 3*27=81, Resulting Numbers: [32, 81]
Generated Node #3: [32, 81] from Operation: 3*27=81
Current State: 49:[32, 81], Operations: ['47-15=32', '3*27=81']
Exploring Operation: 81-32=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
32,
23,
27,
40
] | 12 | [
"32+23=55",
"27+40=67",
"67-55=12"
] | Current State: 12:[32, 23, 27, 40], Operations: []
Exploring Operation: 32+23=55, Resulting Numbers: [27, 40, 55]
Generated Node #2: [27, 40, 55] from Operation: 32+23=55
Current State: 12:[27, 40, 55], Operations: ['32+23=55']
Exploring Operation: 27+40=67, Resulting Numbers: [55, 67]
Generated Node #3: [55, 67] from Operation: 27+40=67
Current State: 12:[55, 67], Operations: ['32+23=55', '27+40=67']
Exploring Operation: 67-55=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
60,
87,
98,
15
] | 44 | [
"60/15=4",
"98-87=11",
"4*11=44"
] | Current State: 44:[60, 87, 98, 15], Operations: []
Exploring Operation: 60/15=4, Resulting Numbers: [87, 98, 4]
Generated Node #2: [87, 98, 4] from Operation: 60/15=4
Current State: 44:[87, 98, 4], Operations: ['60/15=4']
Exploring Operation: 98-87=11, Resulting Numbers: [4, 11]
Generated Node #3: [4, 11] from Operation: 98-87=11
Current State: 44:[4, 11], Operations: ['60/15=4', '98-87=11']
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
67,
32,
54,
58
] | 77 | [
"67-32=35",
"54+58=112",
"112-35=77"
] | Current State: 77:[67, 32, 54, 58], Operations: []
Exploring Operation: 67-32=35, Resulting Numbers: [54, 58, 35]
Generated Node #2: [54, 58, 35] from Operation: 67-32=35
Current State: 77:[54, 58, 35], Operations: ['67-32=35']
Exploring Operation: 54+58=112, Resulting Numbers: [35, 112]
Generated Node #3: [35, 112] from Operation: 54+58=112
Current State: 77:[35, 112], Operations: ['67-32=35', '54+58=112']
Exploring Operation: 112-35=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
96,
8,
77,
84
] | 57 | [
"96+8=104",
"77+84=161",
"161-104=57"
] | Current State: 57:[96, 8, 77, 84], Operations: []
Exploring Operation: 96+8=104, Resulting Numbers: [77, 84, 104]
Generated Node #2: [77, 84, 104] from Operation: 96+8=104
Current State: 57:[77, 84, 104], Operations: ['96+8=104']
Exploring Operation: 77+84=161, Resulting Numbers: [104, 161]
Generated Node #3: [104, 161] from Operation: 77+84=161
Current State: 57:[104, 161], Operations: ['96+8=104', '77+84=161']
Exploring Operation: 161-104=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
95,
74,
9,
81
] | 32 | [
"81-74=7",
"9*7=63",
"95-63=32"
] | Current State: 32:[95, 74, 9, 81], Operations: []
Exploring Operation: 81-74=7, Resulting Numbers: [95, 9, 7]
Generated Node #2: [95, 9, 7] from Operation: 81-74=7
Current State: 32:[95, 9, 7], Operations: ['81-74=7']
Exploring Operation: 9*7=63, Resulting Numbers: [95, 63]
Generated Node #3: [95, 63] from Operation: 9*7=63
Current State: 32:[95, 63], Operations: ['81-74=7', '9*7=63']
Exploring Operation: 95-63=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
34,
29,
58,
67
] | 84 | [
"34*29=986",
"986/58=17",
"67+17=84"
] | Current State: 84:[34, 29, 58, 67], Operations: []
Exploring Operation: 34*29=986, Resulting Numbers: [58, 67, 986]
Generated Node #2: [58, 67, 986] from Operation: 34*29=986
Current State: 84:[58, 67, 986], Operations: ['34*29=986']
Exploring Operation: 986/58=17, Resulting Numbers: [67, 17]
Generated Node #3: [67, 17] from Operation: 986/58=17
Current State: 84:[67, 17], Operations: ['34*29=986', '986/58=17']
Exploring Operation: 67+17=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
17,
6,
34,
44
] | 77 | [
"44-34=10",
"6*10=60",
"17+60=77"
] | Current State: 77:[17, 6, 34, 44], Operations: []
Exploring Operation: 44-34=10, Resulting Numbers: [17, 6, 10]
Generated Node #2: [17, 6, 10] from Operation: 44-34=10
Current State: 77:[17, 6, 10], Operations: ['44-34=10']
Exploring Operation: 6*10=60, Resulting Numbers: [17, 60]
Generated Node #3: [17, 60] from Operation: 6*10=60
Current State: 77:[17, 60], Operations: ['44-34=10', '6*10=60']
Exploring Operation: 17+60=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
12,
51,
22,
26
] | 48 | [
"26-22=4",
"12/4=3",
"51-3=48"
] | Current State: 48:[12, 51, 22, 26], Operations: []
Exploring Operation: 26-22=4, Resulting Numbers: [12, 51, 4]
Generated Node #2: [12, 51, 4] from Operation: 26-22=4
Current State: 48:[12, 51, 4], Operations: ['26-22=4']
Exploring Operation: 12/4=3, Resulting Numbers: [51, 3]
Generated Node #3: [51, 3] from Operation: 12/4=3
Current State: 48:[51, 3], Operations: ['26-22=4', '12/4=3']
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
31,
61,
27,
58
] | 66 | [
"61-58=3",
"31*3=93",
"93-27=66"
] | Current State: 66:[31, 61, 27, 58], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [31, 27, 3]
Generated Node #2: [31, 27, 3] from Operation: 61-58=3
Current State: 66:[31, 27, 3], Operations: ['61-58=3']
Exploring Operation: 31*3=93, Resulting Numbers: [27, 93]
Generated Node #3: [27, 93] from Operation: 31*3=93
Current State: 66:[27, 93], Operations: ['61-58=3', '31*3=93']
Exploring Operation: 93-27=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
58,
66,
2,
19
] | 43 | [
"58+66=124",
"124/2=62",
"62-19=43"
] | Current State: 43:[58, 66, 2, 19], Operations: []
Exploring Operation: 58+66=124, Resulting Numbers: [2, 19, 124]
Generated Node #2: [2, 19, 124] from Operation: 58+66=124
Current State: 43:[2, 19, 124], Operations: ['58+66=124']
Exploring Operation: 124/2=62, Resulting Numbers: [19, 62]
Generated Node #3: [19, 62] from Operation: 124/2=62
Current State: 43:[19, 62], Operations: ['58+66=124', '124/2=62']
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
16,
78,
69,
82
] | 96 | [
"16*78=1248",
"82-69=13",
"1248/13=96"
] | Current State: 96:[16, 78, 69, 82], Operations: []
Exploring Operation: 16*78=1248, Resulting Numbers: [69, 82, 1248]
Generated Node #2: [69, 82, 1248] from Operation: 16*78=1248
Current State: 96:[69, 82, 1248], Operations: ['16*78=1248']
Exploring Operation: 82-69=13, Resulting Numbers: [1248, 13]
Generated Node #3: [1248, 13] from Operation: 82-69=13
Current State: 96:[1248, 13], Operations: ['16*78=1248', '82-69=13']
Exploring Operation: 1248/13=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
82,
52,
54,
78
] | 42 | [
"82-54=28",
"78*28=2184",
"2184/52=42"
] | Current State: 42:[82, 52, 54, 78], Operations: []
Exploring Operation: 82-54=28, Resulting Numbers: [52, 78, 28]
Generated Node #2: [52, 78, 28] from Operation: 82-54=28
Current State: 42:[52, 78, 28], Operations: ['82-54=28']
Exploring Operation: 78*28=2184, Resulting Numbers: [52, 2184]
Generated Node #3: [52, 2184] from Operation: 78*28=2184
Current State: 42:[52, 2184], Operations: ['82-54=28', '78*28=2184']
Exploring Operation: 2184/52=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
52,
54,
33,
23
] | 54 | [
"54-52=2",
"33+23=56",
"56-2=54"
] | Current State: 54:[52, 54, 33, 23], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [33, 23, 2]
Generated Node #2: [33, 23, 2] from Operation: 54-52=2
Current State: 54:[33, 23, 2], Operations: ['54-52=2']
Exploring Operation: 33+23=56, Resulting Numbers: [2, 56]
Generated Node #3: [2, 56] from Operation: 33+23=56
Current State: 54:[2, 56], Operations: ['54-52=2', '33+23=56']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
43,
47,
49,
71
] | 57 | [
"43+71=114",
"49-47=2",
"114/2=57"
] | Current State: 57:[43, 47, 49, 71], Operations: []
Exploring Operation: 43+71=114, Resulting Numbers: [47, 49, 114]
Generated Node #2: [47, 49, 114] from Operation: 43+71=114
Current State: 57:[47, 49, 114], Operations: ['43+71=114']
Exploring Operation: 49-47=2, Resulting Numbers: [114, 2]
Generated Node #3: [114, 2] from Operation: 49-47=2
Current State: 57:[114, 2], Operations: ['43+71=114', '49-47=2']
Exploring Operation: 114/2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
40,
8,
50,
87
] | 97 | [
"40/8=5",
"50/5=10",
"87+10=97"
] | Current State: 97:[40, 8, 50, 87], Operations: []
Exploring Operation: 40/8=5, Resulting Numbers: [50, 87, 5]
Generated Node #2: [50, 87, 5] from Operation: 40/8=5
Current State: 97:[50, 87, 5], Operations: ['40/8=5']
Exploring Operation: 50/5=10, Resulting Numbers: [87, 10]
Generated Node #3: [87, 10] from Operation: 50/5=10
Current State: 97:[87, 10], Operations: ['40/8=5', '50/5=10']
Exploring Operation: 87+10=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
16,
89,
98,
68
] | 43 | [
"89-16=73",
"98-68=30",
"73-30=43"
] | Current State: 43:[16, 89, 98, 68], Operations: []
Exploring Operation: 89-16=73, Resulting Numbers: [98, 68, 73]
Generated Node #2: [98, 68, 73] from Operation: 89-16=73
Current State: 43:[98, 68, 73], Operations: ['89-16=73']
Exploring Operation: 98-68=30, Resulting Numbers: [73, 30]
Generated Node #3: [73, 30] from Operation: 98-68=30
Current State: 43:[73, 30], Operations: ['89-16=73', '98-68=30']
Exploring Operation: 73-30=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
20,
88,
28,
36
] | 39 | [
"88-28=60",
"60/20=3",
"36+3=39"
] | Current State: 39:[20, 88, 28, 36], Operations: []
Exploring Operation: 88-28=60, Resulting Numbers: [20, 36, 60]
Generated Node #2: [20, 36, 60] from Operation: 88-28=60
Current State: 39:[20, 36, 60], Operations: ['88-28=60']
Exploring Operation: 60/20=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 60/20=3
Current State: 39:[36, 3], Operations: ['88-28=60', '60/20=3']
Exploring Operation: 36+3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
91,
81,
3,
79
] | 91 | [
"81-3=78",
"79-78=1",
"91*1=91"
] | Current State: 91:[91, 81, 3, 79], Operations: []
Exploring Operation: 81-3=78, Resulting Numbers: [91, 79, 78]
Generated Node #2: [91, 79, 78] from Operation: 81-3=78
Current State: 91:[91, 79, 78], Operations: ['81-3=78']
Exploring Operation: 79-78=1, Resulting Numbers: [91, 1]
Generated Node #3: [91, 1] from Operation: 79-78=1
Current State: 91:[91, 1], Operations: ['81-3=78', '79-78=1']
Exploring Operation: 91*1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
9,
53,
28,
60
] | 56 | [
"9+53=62",
"62-60=2",
"28*2=56"
] | Current State: 56:[9, 53, 28, 60], Operations: []
Exploring Operation: 9+53=62, Resulting Numbers: [28, 60, 62]
Generated Node #2: [28, 60, 62] from Operation: 9+53=62
Current State: 56:[28, 60, 62], Operations: ['9+53=62']
Exploring Operation: 62-60=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 62-60=2
Current State: 56:[28, 2], Operations: ['9+53=62', '62-60=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
19,
15,
39,
69
] | 26 | [
"19-15=4",
"69-39=30",
"30-4=26"
] | Current State: 26:[19, 15, 39, 69], Operations: []
Exploring Operation: 19-15=4, Resulting Numbers: [39, 69, 4]
Generated Node #2: [39, 69, 4] from Operation: 19-15=4
Current State: 26:[39, 69, 4], Operations: ['19-15=4']
Exploring Operation: 69-39=30, Resulting Numbers: [4, 30]
Generated Node #3: [4, 30] from Operation: 69-39=30
Current State: 26:[4, 30], Operations: ['19-15=4', '69-39=30']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
41,
79,
35,
8
] | 77 | [
"41+79=120",
"35+8=43",
"120-43=77"
] | Current State: 77:[41, 79, 35, 8], Operations: []
Exploring Operation: 41+79=120, Resulting Numbers: [35, 8, 120]
Generated Node #2: [35, 8, 120] from Operation: 41+79=120
Current State: 77:[35, 8, 120], Operations: ['41+79=120']
Exploring Operation: 35+8=43, Resulting Numbers: [120, 43]
Generated Node #3: [120, 43] from Operation: 35+8=43
Current State: 77:[120, 43], Operations: ['41+79=120', '35+8=43']
Exploring Operation: 120-43=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
2,
18,
41,
12
] | 19 | [
"18+12=30",
"2*30=60",
"60-41=19"
] | Current State: 19:[2, 18, 41, 12], Operations: []
Exploring Operation: 18+12=30, Resulting Numbers: [2, 41, 30]
Generated Node #2: [2, 41, 30] from Operation: 18+12=30
Current State: 19:[2, 41, 30], Operations: ['18+12=30']
Exploring Operation: 2*30=60, Resulting Numbers: [41, 60]
Generated Node #3: [41, 60] from Operation: 2*30=60
Current State: 19:[41, 60], Operations: ['18+12=30', '2*30=60']
Exploring Operation: 60-41=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
72,
94,
28,
74
] | 80 | [
"94-72=22",
"28+74=102",
"102-22=80"
] | Current State: 80:[72, 94, 28, 74], Operations: []
Exploring Operation: 94-72=22, Resulting Numbers: [28, 74, 22]
Generated Node #2: [28, 74, 22] from Operation: 94-72=22
Current State: 80:[28, 74, 22], Operations: ['94-72=22']
Exploring Operation: 28+74=102, Resulting Numbers: [22, 102]
Generated Node #3: [22, 102] from Operation: 28+74=102
Current State: 80:[22, 102], Operations: ['94-72=22', '28+74=102']
Exploring Operation: 102-22=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
33,
48,
16,
73
] | 42 | [
"48-33=15",
"73-16=57",
"57-15=42"
] | Current State: 42:[33, 48, 16, 73], Operations: []
Exploring Operation: 48-33=15, Resulting Numbers: [16, 73, 15]
Generated Node #2: [16, 73, 15] from Operation: 48-33=15
Current State: 42:[16, 73, 15], Operations: ['48-33=15']
Exploring Operation: 73-16=57, Resulting Numbers: [15, 57]
Generated Node #3: [15, 57] from Operation: 73-16=57
Current State: 42:[15, 57], Operations: ['48-33=15', '73-16=57']
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
89,
3,
37,
92
] | 76 | [
"92-37=55",
"3*55=165",
"165-89=76"
] | Current State: 76:[89, 3, 37, 92], Operations: []
Exploring Operation: 92-37=55, Resulting Numbers: [89, 3, 55]
Generated Node #2: [89, 3, 55] from Operation: 92-37=55
Current State: 76:[89, 3, 55], Operations: ['92-37=55']
Exploring Operation: 3*55=165, Resulting Numbers: [89, 165]
Generated Node #3: [89, 165] from Operation: 3*55=165
Current State: 76:[89, 165], Operations: ['92-37=55', '3*55=165']
Exploring Operation: 165-89=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
81,
83,
4,
52
] | 50 | [
"83-81=2",
"52-4=48",
"2+48=50"
] | Current State: 50:[81, 83, 4, 52], Operations: []
Exploring Operation: 83-81=2, Resulting Numbers: [4, 52, 2]
Generated Node #2: [4, 52, 2] from Operation: 83-81=2
Current State: 50:[4, 52, 2], Operations: ['83-81=2']
Exploring Operation: 52-4=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 52-4=48
Current State: 50:[2, 48], Operations: ['83-81=2', '52-4=48']
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
24,
49,
5,
43
] | 46 | [
"43-24=19",
"5*19=95",
"95-49=46"
] | Current State: 46:[24, 49, 5, 43], Operations: []
Exploring Operation: 43-24=19, Resulting Numbers: [49, 5, 19]
Generated Node #2: [49, 5, 19] from Operation: 43-24=19
Current State: 46:[49, 5, 19], Operations: ['43-24=19']
Exploring Operation: 5*19=95, Resulting Numbers: [49, 95]
Generated Node #3: [49, 95] from Operation: 5*19=95
Current State: 46:[49, 95], Operations: ['43-24=19', '5*19=95']
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
42,
37,
85,
13
] | 31 | [
"85*13=1105",
"42+1105=1147",
"1147/37=31"
] | Current State: 31:[42, 37, 85, 13], Operations: []
Exploring Operation: 85*13=1105, Resulting Numbers: [42, 37, 1105]
Generated Node #2: [42, 37, 1105] from Operation: 85*13=1105
Current State: 31:[42, 37, 1105], Operations: ['85*13=1105']
Exploring Operation: 42+1105=1147, Resulting Numbers: [37, 1147]
Generated Node #3: [37, 1147] from Operation: 42+1105=1147
Current State: 31:[37, 1147], Operations: ['85*13=1105', '42+1105=1147']
Exploring Operation: 1147/37=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
12,
45,
5,
6
] | 27 | [
"12+45=57",
"5*6=30",
"57-30=27"
] | Current State: 27:[12, 45, 5, 6], Operations: []
Exploring Operation: 12+45=57, Resulting Numbers: [5, 6, 57]
Generated Node #2: [5, 6, 57] from Operation: 12+45=57
Current State: 27:[5, 6, 57], Operations: ['12+45=57']
Exploring Operation: 5*6=30, Resulting Numbers: [57, 30]
Generated Node #3: [57, 30] from Operation: 5*6=30
Current State: 27:[57, 30], Operations: ['12+45=57', '5*6=30']
Exploring Operation: 57-30=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
43,
51,
71,
15
] | 78 | [
"51-43=8",
"71+15=86",
"86-8=78"
] | Current State: 78:[43, 51, 71, 15], Operations: []
Exploring Operation: 51-43=8, Resulting Numbers: [71, 15, 8]
Generated Node #2: [71, 15, 8] from Operation: 51-43=8
Current State: 78:[71, 15, 8], Operations: ['51-43=8']
Exploring Operation: 71+15=86, Resulting Numbers: [8, 86]
Generated Node #3: [8, 86] from Operation: 71+15=86
Current State: 78:[8, 86], Operations: ['51-43=8', '71+15=86']
Exploring Operation: 86-8=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
74,
8,
48,
27
] | 45 | [
"74-8=66",
"48-27=21",
"66-21=45"
] | Current State: 45:[74, 8, 48, 27], Operations: []
Exploring Operation: 74-8=66, Resulting Numbers: [48, 27, 66]
Generated Node #2: [48, 27, 66] from Operation: 74-8=66
Current State: 45:[48, 27, 66], Operations: ['74-8=66']
Exploring Operation: 48-27=21, Resulting Numbers: [66, 21]
Generated Node #3: [66, 21] from Operation: 48-27=21
Current State: 45:[66, 21], Operations: ['74-8=66', '48-27=21']
Exploring Operation: 66-21=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
24,
48,
71,
16
] | 53 | [
"48/24=2",
"71-16=55",
"55-2=53"
] | Current State: 53:[24, 48, 71, 16], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [71, 16, 2]
Generated Node #2: [71, 16, 2] from Operation: 48/24=2
Current State: 53:[71, 16, 2], Operations: ['48/24=2']
Exploring Operation: 71-16=55, Resulting Numbers: [2, 55]
Generated Node #3: [2, 55] from Operation: 71-16=55
Current State: 53:[2, 55], Operations: ['48/24=2', '71-16=55']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
93,
55,
90,
5
] | 92 | [
"93+90=183",
"55*5=275",
"275-183=92"
] | Current State: 92:[93, 55, 90, 5], Operations: []
Exploring Operation: 93+90=183, Resulting Numbers: [55, 5, 183]
Generated Node #2: [55, 5, 183] from Operation: 93+90=183
Current State: 92:[55, 5, 183], Operations: ['93+90=183']
Exploring Operation: 55*5=275, Resulting Numbers: [183, 275]
Generated Node #3: [183, 275] from Operation: 55*5=275
Current State: 92:[183, 275], Operations: ['93+90=183', '55*5=275']
Exploring Operation: 275-183=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
22,
40,
9,
71
] | 98 | [
"40-22=18",
"9+71=80",
"18+80=98"
] | Current State: 98:[22, 40, 9, 71], Operations: []
Exploring Operation: 40-22=18, Resulting Numbers: [9, 71, 18]
Generated Node #2: [9, 71, 18] from Operation: 40-22=18
Current State: 98:[9, 71, 18], Operations: ['40-22=18']
Exploring Operation: 9+71=80, Resulting Numbers: [18, 80]
Generated Node #3: [18, 80] from Operation: 9+71=80
Current State: 98:[18, 80], Operations: ['40-22=18', '9+71=80']
Exploring Operation: 18+80=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
24,
29,
40,
59
] | 72 | [
"24+29=53",
"59-40=19",
"53+19=72"
] | Current State: 72:[24, 29, 40, 59], Operations: []
Exploring Operation: 24+29=53, Resulting Numbers: [40, 59, 53]
Generated Node #2: [40, 59, 53] from Operation: 24+29=53
Current State: 72:[40, 59, 53], Operations: ['24+29=53']
Exploring Operation: 59-40=19, Resulting Numbers: [53, 19]
Generated Node #3: [53, 19] from Operation: 59-40=19
Current State: 72:[53, 19], Operations: ['24+29=53', '59-40=19']
Exploring Operation: 53+19=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
20,
61,
17,
76
] | 85 | [
"20+61=81",
"81-76=5",
"17*5=85"
] | Current State: 85:[20, 61, 17, 76], Operations: []
Exploring Operation: 20+61=81, Resulting Numbers: [17, 76, 81]
Generated Node #2: [17, 76, 81] from Operation: 20+61=81
Current State: 85:[17, 76, 81], Operations: ['20+61=81']
Exploring Operation: 81-76=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 81-76=5
Current State: 85:[17, 5], Operations: ['20+61=81', '81-76=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
72,
94,
35,
12
] | 74 | [
"35+12=47",
"94/47=2",
"72+2=74"
] | Current State: 74:[72, 94, 35, 12], Operations: []
Exploring Operation: 35+12=47, Resulting Numbers: [72, 94, 47]
Generated Node #2: [72, 94, 47] from Operation: 35+12=47
Current State: 74:[72, 94, 47], Operations: ['35+12=47']
Exploring Operation: 94/47=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 94/47=2
Current State: 74:[72, 2], Operations: ['35+12=47', '94/47=2']
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
86,
62,
82,
21
] | 88 | [
"62-21=41",
"82/41=2",
"86+2=88"
] | Current State: 88:[86, 62, 82, 21], Operations: []
Exploring Operation: 62-21=41, Resulting Numbers: [86, 82, 41]
Generated Node #2: [86, 82, 41] from Operation: 62-21=41
Current State: 88:[86, 82, 41], Operations: ['62-21=41']
Exploring Operation: 82/41=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 82/41=2
Current State: 88:[86, 2], Operations: ['62-21=41', '82/41=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
38,
21,
66,
25
] | 100 | [
"38+21=59",
"66-25=41",
"59+41=100"
] | Current State: 100:[38, 21, 66, 25], Operations: []
Exploring Operation: 38+21=59, Resulting Numbers: [66, 25, 59]
Generated Node #2: [66, 25, 59] from Operation: 38+21=59
Current State: 100:[66, 25, 59], Operations: ['38+21=59']
Exploring Operation: 66-25=41, Resulting Numbers: [59, 41]
Generated Node #3: [59, 41] from Operation: 66-25=41
Current State: 100:[59, 41], Operations: ['38+21=59', '66-25=41']
Exploring Operation: 59+41=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
88,
65,
62,
8
] | 33 | [
"88/8=11",
"65-62=3",
"11*3=33"
] | Current State: 33:[88, 65, 62, 8], Operations: []
Exploring Operation: 88/8=11, Resulting Numbers: [65, 62, 11]
Generated Node #2: [65, 62, 11] from Operation: 88/8=11
Current State: 33:[65, 62, 11], Operations: ['88/8=11']
Exploring Operation: 65-62=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 65-62=3
Current State: 33:[11, 3], Operations: ['88/8=11', '65-62=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
76,
39,
81,
21
] | 55 | [
"76+39=115",
"81-21=60",
"115-60=55"
] | Current State: 55:[76, 39, 81, 21], Operations: []
Exploring Operation: 76+39=115, Resulting Numbers: [81, 21, 115]
Generated Node #2: [81, 21, 115] from Operation: 76+39=115
Current State: 55:[81, 21, 115], Operations: ['76+39=115']
Exploring Operation: 81-21=60, Resulting Numbers: [115, 60]
Generated Node #3: [115, 60] from Operation: 81-21=60
Current State: 55:[115, 60], Operations: ['76+39=115', '81-21=60']
Exploring Operation: 115-60=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
46,
95,
92,
6
] | 43 | [
"46+95=141",
"92+6=98",
"141-98=43"
] | Current State: 43:[46, 95, 92, 6], Operations: []
Exploring Operation: 46+95=141, Resulting Numbers: [92, 6, 141]
Generated Node #2: [92, 6, 141] from Operation: 46+95=141
Current State: 43:[92, 6, 141], Operations: ['46+95=141']
Exploring Operation: 92+6=98, Resulting Numbers: [141, 98]
Generated Node #3: [141, 98] from Operation: 92+6=98
Current State: 43:[141, 98], Operations: ['46+95=141', '92+6=98']
Exploring Operation: 141-98=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
38,
37,
69,
86
] | 17 | [
"38-37=1",
"86-69=17",
"1*17=17"
] | Current State: 17:[38, 37, 69, 86], Operations: []
Exploring Operation: 38-37=1, Resulting Numbers: [69, 86, 1]
Generated Node #2: [69, 86, 1] from Operation: 38-37=1
Current State: 17:[69, 86, 1], Operations: ['38-37=1']
Exploring Operation: 86-69=17, Resulting Numbers: [1, 17]
Generated Node #3: [1, 17] from Operation: 86-69=17
Current State: 17:[1, 17], Operations: ['38-37=1', '86-69=17']
Exploring Operation: 1*17=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
80,
88,
4,
43
] | 25 | [
"80/4=20",
"88-43=45",
"45-20=25"
] | Current State: 25:[80, 88, 4, 43], Operations: []
Exploring Operation: 80/4=20, Resulting Numbers: [88, 43, 20]
Generated Node #2: [88, 43, 20] from Operation: 80/4=20
Current State: 25:[88, 43, 20], Operations: ['80/4=20']
Exploring Operation: 88-43=45, Resulting Numbers: [20, 45]
Generated Node #3: [20, 45] from Operation: 88-43=45
Current State: 25:[20, 45], Operations: ['80/4=20', '88-43=45']
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
14,
82,
28,
3
] | 71 | [
"14+82=96",
"28-3=25",
"96-25=71"
] | Current State: 71:[14, 82, 28, 3], Operations: []
Exploring Operation: 14+82=96, Resulting Numbers: [28, 3, 96]
Generated Node #2: [28, 3, 96] from Operation: 14+82=96
Current State: 71:[28, 3, 96], Operations: ['14+82=96']
Exploring Operation: 28-3=25, Resulting Numbers: [96, 25]
Generated Node #3: [96, 25] from Operation: 28-3=25
Current State: 71:[96, 25], Operations: ['14+82=96', '28-3=25']
Exploring Operation: 96-25=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
87,
29,
21,
32
] | 75 | [
"87/29=3",
"32*3=96",
"96-21=75"
] | Current State: 75:[87, 29, 21, 32], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [21, 32, 3]
Generated Node #2: [21, 32, 3] from Operation: 87/29=3
Current State: 75:[21, 32, 3], Operations: ['87/29=3']
Exploring Operation: 32*3=96, Resulting Numbers: [21, 96]
Generated Node #3: [21, 96] from Operation: 32*3=96
Current State: 75:[21, 96], Operations: ['87/29=3', '32*3=96']
Exploring Operation: 96-21=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
18,
42,
63,
6
] | 38 | [
"63-18=45",
"42/6=7",
"45-7=38"
] | Current State: 38:[18, 42, 63, 6], Operations: []
Exploring Operation: 63-18=45, Resulting Numbers: [42, 6, 45]
Generated Node #2: [42, 6, 45] from Operation: 63-18=45
Current State: 38:[42, 6, 45], Operations: ['63-18=45']
Exploring Operation: 42/6=7, Resulting Numbers: [45, 7]
Generated Node #3: [45, 7] from Operation: 42/6=7
Current State: 38:[45, 7], Operations: ['63-18=45', '42/6=7']
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
14,
78,
39,
11
] | 23 | [
"14+11=25",
"78/39=2",
"25-2=23"
] | Current State: 23:[14, 78, 39, 11], Operations: []
Exploring Operation: 14+11=25, Resulting Numbers: [78, 39, 25]
Generated Node #2: [78, 39, 25] from Operation: 14+11=25
Current State: 23:[78, 39, 25], Operations: ['14+11=25']
Exploring Operation: 78/39=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 78/39=2
Current State: 23:[25, 2], Operations: ['14+11=25', '78/39=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
99,
40,
35,
5
] | 77 | [
"99*35=3465",
"40+5=45",
"3465/45=77"
] | Current State: 77:[99, 40, 35, 5], Operations: []
Exploring Operation: 99*35=3465, Resulting Numbers: [40, 5, 3465]
Generated Node #2: [40, 5, 3465] from Operation: 99*35=3465
Current State: 77:[40, 5, 3465], Operations: ['99*35=3465']
Exploring Operation: 40+5=45, Resulting Numbers: [3465, 45]
Generated Node #3: [3465, 45] from Operation: 40+5=45
Current State: 77:[3465, 45], Operations: ['99*35=3465', '40+5=45']
Exploring Operation: 3465/45=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
61,
30,
28,
46
] | 76 | [
"30-28=2",
"61*2=122",
"122-46=76"
] | Current State: 76:[61, 30, 28, 46], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [61, 46, 2]
Generated Node #2: [61, 46, 2] from Operation: 30-28=2
Current State: 76:[61, 46, 2], Operations: ['30-28=2']
Exploring Operation: 61*2=122, Resulting Numbers: [46, 122]
Generated Node #3: [46, 122] from Operation: 61*2=122
Current State: 76:[46, 122], Operations: ['30-28=2', '61*2=122']
Exploring Operation: 122-46=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
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