nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
14,
45,
18,
15
] | 27 | [
"15-14=1",
"45-18=27",
"1*27=27"
] | Current State: 27:[14, 45, 18, 15], Operations: []
Exploring Operation: 15-14=1, Resulting Numbers: [45, 18, 1]
Generated Node #2: [45, 18, 1] from Operation: 15-14=1
Current State: 27:[45, 18, 1], Operations: ['15-14=1']
Exploring Operation: 45-18=27, Resulting Numbers: [1, 27]
Generated Node #3: [1, 27] from Operation: 45-18=27
Current State: 27:[1, 27], Operations: ['15-14=1', '45-18=27']
Exploring Operation: 1*27=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
33,
16,
26,
26
] | 16 | [
"33-16=17",
"26/26=1",
"17-1=16"
] | Current State: 16:[33, 16, 26, 26], Operations: []
Exploring Operation: 33-16=17, Resulting Numbers: [26, 26, 17]
Generated Node #2: [26, 26, 17] from Operation: 33-16=17
Current State: 16:[26, 26, 17], Operations: ['33-16=17']
Exploring Operation: 26/26=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 26/26=1
Current State: 16:[17, 1], Operations: ['33-16=17', '26/26=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
67,
48,
74,
8
] | 48 | [
"74-67=7",
"8-7=1",
"48*1=48"
] | Current State: 48:[67, 48, 74, 8], Operations: []
Exploring Operation: 74-67=7, Resulting Numbers: [48, 8, 7]
Generated Node #2: [48, 8, 7] from Operation: 74-67=7
Current State: 48:[48, 8, 7], Operations: ['74-67=7']
Exploring Operation: 8-7=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 8-7=1
Current State: 48:[48, 1], Operations: ['74-67=7', '8-7=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
18,
65,
54,
55
] | 48 | [
"65-18=47",
"55-54=1",
"47+1=48"
] | Current State: 48:[18, 65, 54, 55], Operations: []
Exploring Operation: 65-18=47, Resulting Numbers: [54, 55, 47]
Generated Node #2: [54, 55, 47] from Operation: 65-18=47
Current State: 48:[54, 55, 47], Operations: ['65-18=47']
Exploring Operation: 55-54=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 55-54=1
Current State: 48:[47, 1], Operations: ['65-18=47', '55-54=1']
Exploring Operation: 47+1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
59,
80,
54,
52
] | 19 | [
"80-59=21",
"54-52=2",
"21-2=19"
] | Current State: 19:[59, 80, 54, 52], Operations: []
Exploring Operation: 80-59=21, Resulting Numbers: [54, 52, 21]
Generated Node #2: [54, 52, 21] from Operation: 80-59=21
Current State: 19:[54, 52, 21], Operations: ['80-59=21']
Exploring Operation: 54-52=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 54-52=2
Current State: 19:[21, 2], Operations: ['80-59=21', '54-52=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
16,
27,
52,
52
] | 93 | [
"27-16=11",
"52+52=104",
"104-11=93"
] | Current State: 93:[16, 27, 52, 52], Operations: []
Exploring Operation: 27-16=11, Resulting Numbers: [52, 52, 11]
Generated Node #2: [52, 52, 11] from Operation: 27-16=11
Current State: 93:[52, 52, 11], Operations: ['27-16=11']
Exploring Operation: 52+52=104, Resulting Numbers: [11, 104]
Generated Node #3: [11, 104] from Operation: 52+52=104
Current State: 93:[11, 104], Operations: ['27-16=11', '52+52=104']
Exploring Operation: 104-11=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
72,
83,
4,
52
] | 96 | [
"83-72=11",
"4*11=44",
"52+44=96"
] | Current State: 96:[72, 83, 4, 52], Operations: []
Exploring Operation: 83-72=11, Resulting Numbers: [4, 52, 11]
Generated Node #2: [4, 52, 11] from Operation: 83-72=11
Current State: 96:[4, 52, 11], Operations: ['83-72=11']
Exploring Operation: 4*11=44, Resulting Numbers: [52, 44]
Generated Node #3: [52, 44] from Operation: 4*11=44
Current State: 96:[52, 44], Operations: ['83-72=11', '4*11=44']
Exploring Operation: 52+44=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
48,
26,
15,
46
] | 83 | [
"48-26=22",
"15+46=61",
"22+61=83"
] | Current State: 83:[48, 26, 15, 46], Operations: []
Exploring Operation: 48-26=22, Resulting Numbers: [15, 46, 22]
Generated Node #2: [15, 46, 22] from Operation: 48-26=22
Current State: 83:[15, 46, 22], Operations: ['48-26=22']
Exploring Operation: 15+46=61, Resulting Numbers: [22, 61]
Generated Node #3: [22, 61] from Operation: 15+46=61
Current State: 83:[22, 61], Operations: ['48-26=22', '15+46=61']
Exploring Operation: 22+61=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
55,
98,
86,
54
] | 56 | [
"98-55=43",
"86/43=2",
"54+2=56"
] | Current State: 56:[55, 98, 86, 54], Operations: []
Exploring Operation: 98-55=43, Resulting Numbers: [86, 54, 43]
Generated Node #2: [86, 54, 43] from Operation: 98-55=43
Current State: 56:[86, 54, 43], Operations: ['98-55=43']
Exploring Operation: 86/43=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 86/43=2
Current State: 56:[54, 2], Operations: ['98-55=43', '86/43=2']
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
17,
5,
31,
23
] | 14 | [
"17+5=22",
"31-23=8",
"22-8=14"
] | Current State: 14:[17, 5, 31, 23], Operations: []
Exploring Operation: 17+5=22, Resulting Numbers: [31, 23, 22]
Generated Node #2: [31, 23, 22] from Operation: 17+5=22
Current State: 14:[31, 23, 22], Operations: ['17+5=22']
Exploring Operation: 31-23=8, Resulting Numbers: [22, 8]
Generated Node #3: [22, 8] from Operation: 31-23=8
Current State: 14:[22, 8], Operations: ['17+5=22', '31-23=8']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
2,
29,
86,
98
] | 34 | [
"29+86=115",
"115-98=17",
"2*17=34"
] | Current State: 34:[2, 29, 86, 98], Operations: []
Exploring Operation: 29+86=115, Resulting Numbers: [2, 98, 115]
Generated Node #2: [2, 98, 115] from Operation: 29+86=115
Current State: 34:[2, 98, 115], Operations: ['29+86=115']
Exploring Operation: 115-98=17, Resulting Numbers: [2, 17]
Generated Node #3: [2, 17] from Operation: 115-98=17
Current State: 34:[2, 17], Operations: ['29+86=115', '115-98=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
91,
30,
92,
9
] | 40 | [
"91-30=61",
"92+9=101",
"101-61=40"
] | Current State: 40:[91, 30, 92, 9], Operations: []
Exploring Operation: 91-30=61, Resulting Numbers: [92, 9, 61]
Generated Node #2: [92, 9, 61] from Operation: 91-30=61
Current State: 40:[92, 9, 61], Operations: ['91-30=61']
Exploring Operation: 92+9=101, Resulting Numbers: [61, 101]
Generated Node #3: [61, 101] from Operation: 92+9=101
Current State: 40:[61, 101], Operations: ['91-30=61', '92+9=101']
Exploring Operation: 101-61=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
70,
1,
23,
7
] | 10 | [
"70-1=69",
"69/23=3",
"7+3=10"
] | Current State: 10:[70, 1, 23, 7], Operations: []
Exploring Operation: 70-1=69, Resulting Numbers: [23, 7, 69]
Generated Node #2: [23, 7, 69] from Operation: 70-1=69
Current State: 10:[23, 7, 69], Operations: ['70-1=69']
Exploring Operation: 69/23=3, Resulting Numbers: [7, 3]
Generated Node #3: [7, 3] from Operation: 69/23=3
Current State: 10:[7, 3], Operations: ['70-1=69', '69/23=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
7,
60,
82,
25
] | 87 | [
"60-25=35",
"35/7=5",
"82+5=87"
] | Current State: 87:[7, 60, 82, 25], Operations: []
Exploring Operation: 60-25=35, Resulting Numbers: [7, 82, 35]
Generated Node #2: [7, 82, 35] from Operation: 60-25=35
Current State: 87:[7, 82, 35], Operations: ['60-25=35']
Exploring Operation: 35/7=5, Resulting Numbers: [82, 5]
Generated Node #3: [82, 5] from Operation: 35/7=5
Current State: 87:[82, 5], Operations: ['60-25=35', '35/7=5']
Exploring Operation: 82+5=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
26,
88,
82,
10
] | 96 | [
"26-10=16",
"88-82=6",
"16*6=96"
] | Current State: 96:[26, 88, 82, 10], Operations: []
Exploring Operation: 26-10=16, Resulting Numbers: [88, 82, 16]
Generated Node #2: [88, 82, 16] from Operation: 26-10=16
Current State: 96:[88, 82, 16], Operations: ['26-10=16']
Exploring Operation: 88-82=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 88-82=6
Current State: 96:[16, 6], Operations: ['26-10=16', '88-82=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
22,
80,
72,
33
] | 47 | [
"80-22=58",
"72+33=105",
"105-58=47"
] | Current State: 47:[22, 80, 72, 33], Operations: []
Exploring Operation: 80-22=58, Resulting Numbers: [72, 33, 58]
Generated Node #2: [72, 33, 58] from Operation: 80-22=58
Current State: 47:[72, 33, 58], Operations: ['80-22=58']
Exploring Operation: 72+33=105, Resulting Numbers: [58, 105]
Generated Node #3: [58, 105] from Operation: 72+33=105
Current State: 47:[58, 105], Operations: ['80-22=58', '72+33=105']
Exploring Operation: 105-58=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
33,
13,
8,
33
] | 91 | [
"33/33=1",
"8-1=7",
"13*7=91"
] | Current State: 91:[33, 13, 8, 33], Operations: []
Exploring Operation: 33/33=1, Resulting Numbers: [13, 8, 1]
Generated Node #2: [13, 8, 1] from Operation: 33/33=1
Current State: 91:[13, 8, 1], Operations: ['33/33=1']
Exploring Operation: 8-1=7, Resulting Numbers: [13, 7]
Generated Node #3: [13, 7] from Operation: 8-1=7
Current State: 91:[13, 7], Operations: ['33/33=1', '8-1=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
57,
77,
74,
38
] | 22 | [
"57+77=134",
"74+38=112",
"134-112=22"
] | Current State: 22:[57, 77, 74, 38], Operations: []
Exploring Operation: 57+77=134, Resulting Numbers: [74, 38, 134]
Generated Node #2: [74, 38, 134] from Operation: 57+77=134
Current State: 22:[74, 38, 134], Operations: ['57+77=134']
Exploring Operation: 74+38=112, Resulting Numbers: [134, 112]
Generated Node #3: [134, 112] from Operation: 74+38=112
Current State: 22:[134, 112], Operations: ['57+77=134', '74+38=112']
Exploring Operation: 134-112=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
51,
57,
15,
79
] | 44 | [
"51+57=108",
"79-15=64",
"108-64=44"
] | Current State: 44:[51, 57, 15, 79], Operations: []
Exploring Operation: 51+57=108, Resulting Numbers: [15, 79, 108]
Generated Node #2: [15, 79, 108] from Operation: 51+57=108
Current State: 44:[15, 79, 108], Operations: ['51+57=108']
Exploring Operation: 79-15=64, Resulting Numbers: [108, 64]
Generated Node #3: [108, 64] from Operation: 79-15=64
Current State: 44:[108, 64], Operations: ['51+57=108', '79-15=64']
Exploring Operation: 108-64=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
25,
32,
8,
59
] | 38 | [
"59-25=34",
"32/8=4",
"34+4=38"
] | Current State: 38:[25, 32, 8, 59], Operations: []
Exploring Operation: 59-25=34, Resulting Numbers: [32, 8, 34]
Generated Node #2: [32, 8, 34] from Operation: 59-25=34
Current State: 38:[32, 8, 34], Operations: ['59-25=34']
Exploring Operation: 32/8=4, Resulting Numbers: [34, 4]
Generated Node #3: [34, 4] from Operation: 32/8=4
Current State: 38:[34, 4], Operations: ['59-25=34', '32/8=4']
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
6,
91,
12,
49
] | 24 | [
"91-6=85",
"12+49=61",
"85-61=24"
] | Current State: 24:[6, 91, 12, 49], Operations: []
Exploring Operation: 91-6=85, Resulting Numbers: [12, 49, 85]
Generated Node #2: [12, 49, 85] from Operation: 91-6=85
Current State: 24:[12, 49, 85], Operations: ['91-6=85']
Exploring Operation: 12+49=61, Resulting Numbers: [85, 61]
Generated Node #3: [85, 61] from Operation: 12+49=61
Current State: 24:[85, 61], Operations: ['91-6=85', '12+49=61']
Exploring Operation: 85-61=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
24,
50,
74,
26
] | 26 | [
"24+50=74",
"74+26=100",
"100-74=26"
] | Current State: 26:[24, 50, 74, 26], Operations: []
Exploring Operation: 24+50=74, Resulting Numbers: [74, 26, 74]
Generated Node #2: [74, 26, 74] from Operation: 24+50=74
Current State: 26:[74, 26, 74], Operations: ['24+50=74']
Exploring Operation: 74+26=100, Resulting Numbers: [100]
100,26 equal: Goal Reached
Exploring Operation: 100-74=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
67,
65,
39,
36
] | 73 | [
"67-65=2",
"39+36=75",
"75-2=73"
] | Current State: 73:[67, 65, 39, 36], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [39, 36, 2]
Generated Node #2: [39, 36, 2] from Operation: 67-65=2
Current State: 73:[39, 36, 2], Operations: ['67-65=2']
Exploring Operation: 39+36=75, Resulting Numbers: [2, 75]
Generated Node #3: [2, 75] from Operation: 39+36=75
Current State: 73:[2, 75], Operations: ['67-65=2', '39+36=75']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
40,
10,
95,
1
] | 92 | [
"40/10=4",
"95+1=96",
"96-4=92"
] | Current State: 92:[40, 10, 95, 1], Operations: []
Exploring Operation: 40/10=4, Resulting Numbers: [95, 1, 4]
Generated Node #2: [95, 1, 4] from Operation: 40/10=4
Current State: 92:[95, 1, 4], Operations: ['40/10=4']
Exploring Operation: 95+1=96, Resulting Numbers: [4, 96]
Generated Node #3: [4, 96] from Operation: 95+1=96
Current State: 92:[4, 96], Operations: ['40/10=4', '95+1=96']
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
6,
99,
64,
83
] | 32 | [
"99-83=16",
"6*16=96",
"96-64=32"
] | Current State: 32:[6, 99, 64, 83], Operations: []
Exploring Operation: 99-83=16, Resulting Numbers: [6, 64, 16]
Generated Node #2: [6, 64, 16] from Operation: 99-83=16
Current State: 32:[6, 64, 16], Operations: ['99-83=16']
Exploring Operation: 6*16=96, Resulting Numbers: [64, 96]
Generated Node #3: [64, 96] from Operation: 6*16=96
Current State: 32:[64, 96], Operations: ['99-83=16', '6*16=96']
Exploring Operation: 96-64=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
39,
5,
23,
5
] | 51 | [
"23-5=18",
"5*18=90",
"90-39=51"
] | Current State: 51:[39, 5, 23, 5], Operations: []
Exploring Operation: 23-5=18, Resulting Numbers: [39, 18]
Generated Node #2: [39, 18] from Operation: 23-5=18
Current State: 51:[39, 18], Operations: ['23-5=18']
Exploring Operation: 5*18=90, Resulting Numbers: [39, 90]
Generated Node #3: [39, 90] from Operation: 5*18=90
Current State: 51:[39, 90], Operations: ['23-5=18', '5*18=90']
Exploring Operation: 90-39=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
85,
79,
96,
20
] | 36 | [
"85-79=6",
"96/6=16",
"20+16=36"
] | Current State: 36:[85, 79, 96, 20], Operations: []
Exploring Operation: 85-79=6, Resulting Numbers: [96, 20, 6]
Generated Node #2: [96, 20, 6] from Operation: 85-79=6
Current State: 36:[96, 20, 6], Operations: ['85-79=6']
Exploring Operation: 96/6=16, Resulting Numbers: [20, 16]
Generated Node #3: [20, 16] from Operation: 96/6=16
Current State: 36:[20, 16], Operations: ['85-79=6', '96/6=16']
Exploring Operation: 20+16=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
32,
59,
91,
7
] | 74 | [
"32*7=224",
"59+91=150",
"224-150=74"
] | Current State: 74:[32, 59, 91, 7], Operations: []
Exploring Operation: 32*7=224, Resulting Numbers: [59, 91, 224]
Generated Node #2: [59, 91, 224] from Operation: 32*7=224
Current State: 74:[59, 91, 224], Operations: ['32*7=224']
Exploring Operation: 59+91=150, Resulting Numbers: [224, 150]
Generated Node #3: [224, 150] from Operation: 59+91=150
Current State: 74:[224, 150], Operations: ['32*7=224', '59+91=150']
Exploring Operation: 224-150=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
69,
51,
84,
12
] | 56 | [
"69-51=18",
"84*12=1008",
"1008/18=56"
] | Current State: 56:[69, 51, 84, 12], Operations: []
Exploring Operation: 69-51=18, Resulting Numbers: [84, 12, 18]
Generated Node #2: [84, 12, 18] from Operation: 69-51=18
Current State: 56:[84, 12, 18], Operations: ['69-51=18']
Exploring Operation: 84*12=1008, Resulting Numbers: [18, 1008]
Generated Node #3: [18, 1008] from Operation: 84*12=1008
Current State: 56:[18, 1008], Operations: ['69-51=18', '84*12=1008']
Exploring Operation: 1008/18=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
30,
16,
7,
64
] | 71 | [
"30-16=14",
"64-7=57",
"14+57=71"
] | Current State: 71:[30, 16, 7, 64], Operations: []
Exploring Operation: 30-16=14, Resulting Numbers: [7, 64, 14]
Generated Node #2: [7, 64, 14] from Operation: 30-16=14
Current State: 71:[7, 64, 14], Operations: ['30-16=14']
Exploring Operation: 64-7=57, Resulting Numbers: [14, 57]
Generated Node #3: [14, 57] from Operation: 64-7=57
Current State: 71:[14, 57], Operations: ['30-16=14', '64-7=57']
Exploring Operation: 14+57=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
44,
86,
40,
28
] | 62 | [
"44+86=130",
"40+28=68",
"130-68=62"
] | Current State: 62:[44, 86, 40, 28], Operations: []
Exploring Operation: 44+86=130, Resulting Numbers: [40, 28, 130]
Generated Node #2: [40, 28, 130] from Operation: 44+86=130
Current State: 62:[40, 28, 130], Operations: ['44+86=130']
Exploring Operation: 40+28=68, Resulting Numbers: [130, 68]
Generated Node #3: [130, 68] from Operation: 40+28=68
Current State: 62:[130, 68], Operations: ['44+86=130', '40+28=68']
Exploring Operation: 130-68=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
68,
41,
5,
33
] | 48 | [
"68-33=35",
"35/5=7",
"41+7=48"
] | Current State: 48:[68, 41, 5, 33], Operations: []
Exploring Operation: 68-33=35, Resulting Numbers: [41, 5, 35]
Generated Node #2: [41, 5, 35] from Operation: 68-33=35
Current State: 48:[41, 5, 35], Operations: ['68-33=35']
Exploring Operation: 35/5=7, Resulting Numbers: [41, 7]
Generated Node #3: [41, 7] from Operation: 35/5=7
Current State: 48:[41, 7], Operations: ['68-33=35', '35/5=7']
Exploring Operation: 41+7=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
10,
65,
4,
8
] | 53 | [
"65-10=55",
"8/4=2",
"55-2=53"
] | Current State: 53:[10, 65, 4, 8], Operations: []
Exploring Operation: 65-10=55, Resulting Numbers: [4, 8, 55]
Generated Node #2: [4, 8, 55] from Operation: 65-10=55
Current State: 53:[4, 8, 55], Operations: ['65-10=55']
Exploring Operation: 8/4=2, Resulting Numbers: [55, 2]
Generated Node #3: [55, 2] from Operation: 8/4=2
Current State: 53:[55, 2], Operations: ['65-10=55', '8/4=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
89,
81,
20,
12
] | 16 | [
"89-81=8",
"20-12=8",
"8+8=16"
] | Current State: 16:[89, 81, 20, 12], Operations: []
Exploring Operation: 89-81=8, Resulting Numbers: [20, 12, 8]
Generated Node #2: [20, 12, 8] from Operation: 89-81=8
Current State: 16:[20, 12, 8], Operations: ['89-81=8']
Exploring Operation: 20-12=8, Resulting Numbers: [8, 8]
Generated Node #3: [8, 8] from Operation: 20-12=8
Current State: 16:[8, 8], Operations: ['89-81=8', '20-12=8']
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
52,
64,
82,
66
] | 28 | [
"64-52=12",
"82-66=16",
"12+16=28"
] | Current State: 28:[52, 64, 82, 66], Operations: []
Exploring Operation: 64-52=12, Resulting Numbers: [82, 66, 12]
Generated Node #2: [82, 66, 12] from Operation: 64-52=12
Current State: 28:[82, 66, 12], Operations: ['64-52=12']
Exploring Operation: 82-66=16, Resulting Numbers: [12, 16]
Generated Node #3: [12, 16] from Operation: 82-66=16
Current State: 28:[12, 16], Operations: ['64-52=12', '82-66=16']
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
27,
92,
69,
65
] | 69 | [
"92-27=65",
"69+65=134",
"134-65=69"
] | Current State: 69:[27, 92, 69, 65], Operations: []
Exploring Operation: 92-27=65, Resulting Numbers: [69, 65, 65]
Generated Node #2: [69, 65, 65] from Operation: 92-27=65
Current State: 69:[69, 65, 65], Operations: ['92-27=65']
Exploring Operation: 69+65=134, Resulting Numbers: [134]
134,69 equal: Goal Reached
Exploring Operation: 134-65=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
22,
55,
11,
36
] | 29 | [
"22+55=77",
"77/11=7",
"36-7=29"
] | Current State: 29:[22, 55, 11, 36], Operations: []
Exploring Operation: 22+55=77, Resulting Numbers: [11, 36, 77]
Generated Node #2: [11, 36, 77] from Operation: 22+55=77
Current State: 29:[11, 36, 77], Operations: ['22+55=77']
Exploring Operation: 77/11=7, Resulting Numbers: [36, 7]
Generated Node #3: [36, 7] from Operation: 77/11=7
Current State: 29:[36, 7], Operations: ['22+55=77', '77/11=7']
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
12,
32,
18,
27
] | 24 | [
"12*18=216",
"216/27=8",
"32-8=24"
] | Current State: 24:[12, 32, 18, 27], Operations: []
Exploring Operation: 12*18=216, Resulting Numbers: [32, 27, 216]
Generated Node #2: [32, 27, 216] from Operation: 12*18=216
Current State: 24:[32, 27, 216], Operations: ['12*18=216']
Exploring Operation: 216/27=8, Resulting Numbers: [32, 8]
Generated Node #3: [32, 8] from Operation: 216/27=8
Current State: 24:[32, 8], Operations: ['12*18=216', '216/27=8']
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
85,
12,
77,
3
] | 66 | [
"85+77=162",
"162/3=54",
"12+54=66"
] | Current State: 66:[85, 12, 77, 3], Operations: []
Exploring Operation: 85+77=162, Resulting Numbers: [12, 3, 162]
Generated Node #2: [12, 3, 162] from Operation: 85+77=162
Current State: 66:[12, 3, 162], Operations: ['85+77=162']
Exploring Operation: 162/3=54, Resulting Numbers: [12, 54]
Generated Node #3: [12, 54] from Operation: 162/3=54
Current State: 66:[12, 54], Operations: ['85+77=162', '162/3=54']
Exploring Operation: 12+54=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
9,
44,
95,
50
] | 92 | [
"9+44=53",
"95+50=145",
"145-53=92"
] | Current State: 92:[9, 44, 95, 50], Operations: []
Exploring Operation: 9+44=53, Resulting Numbers: [95, 50, 53]
Generated Node #2: [95, 50, 53] from Operation: 9+44=53
Current State: 92:[95, 50, 53], Operations: ['9+44=53']
Exploring Operation: 95+50=145, Resulting Numbers: [53, 145]
Generated Node #3: [53, 145] from Operation: 95+50=145
Current State: 92:[53, 145], Operations: ['9+44=53', '95+50=145']
Exploring Operation: 145-53=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
7,
51,
9,
23
] | 12 | [
"51-7=44",
"9+23=32",
"44-32=12"
] | Current State: 12:[7, 51, 9, 23], Operations: []
Exploring Operation: 51-7=44, Resulting Numbers: [9, 23, 44]
Generated Node #2: [9, 23, 44] from Operation: 51-7=44
Current State: 12:[9, 23, 44], Operations: ['51-7=44']
Exploring Operation: 9+23=32, Resulting Numbers: [44, 32]
Generated Node #3: [44, 32] from Operation: 9+23=32
Current State: 12:[44, 32], Operations: ['51-7=44', '9+23=32']
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
82,
27,
97,
5
] | 24 | [
"97-82=15",
"15/5=3",
"27-3=24"
] | Current State: 24:[82, 27, 97, 5], Operations: []
Exploring Operation: 97-82=15, Resulting Numbers: [27, 5, 15]
Generated Node #2: [27, 5, 15] from Operation: 97-82=15
Current State: 24:[27, 5, 15], Operations: ['97-82=15']
Exploring Operation: 15/5=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 15/5=3
Current State: 24:[27, 3], Operations: ['97-82=15', '15/5=3']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
5,
97,
1,
45
] | 58 | [
"5+97=102",
"45-1=44",
"102-44=58"
] | Current State: 58:[5, 97, 1, 45], Operations: []
Exploring Operation: 5+97=102, Resulting Numbers: [1, 45, 102]
Generated Node #2: [1, 45, 102] from Operation: 5+97=102
Current State: 58:[1, 45, 102], Operations: ['5+97=102']
Exploring Operation: 45-1=44, Resulting Numbers: [102, 44]
Generated Node #3: [102, 44] from Operation: 45-1=44
Current State: 58:[102, 44], Operations: ['5+97=102', '45-1=44']
Exploring Operation: 102-44=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
47,
96,
60,
3
] | 57 | [
"60-47=13",
"3*13=39",
"96-39=57"
] | Current State: 57:[47, 96, 60, 3], Operations: []
Exploring Operation: 60-47=13, Resulting Numbers: [96, 3, 13]
Generated Node #2: [96, 3, 13] from Operation: 60-47=13
Current State: 57:[96, 3, 13], Operations: ['60-47=13']
Exploring Operation: 3*13=39, Resulting Numbers: [96, 39]
Generated Node #3: [96, 39] from Operation: 3*13=39
Current State: 57:[96, 39], Operations: ['60-47=13', '3*13=39']
Exploring Operation: 96-39=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
46,
41,
22,
34
] | 39 | [
"46+22=68",
"68/34=2",
"41-2=39"
] | Current State: 39:[46, 41, 22, 34], Operations: []
Exploring Operation: 46+22=68, Resulting Numbers: [41, 34, 68]
Generated Node #2: [41, 34, 68] from Operation: 46+22=68
Current State: 39:[41, 34, 68], Operations: ['46+22=68']
Exploring Operation: 68/34=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 68/34=2
Current State: 39:[41, 2], Operations: ['46+22=68', '68/34=2']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
68,
71,
25,
44
] | 16 | [
"71-68=3",
"44-25=19",
"19-3=16"
] | Current State: 16:[68, 71, 25, 44], Operations: []
Exploring Operation: 71-68=3, Resulting Numbers: [25, 44, 3]
Generated Node #2: [25, 44, 3] from Operation: 71-68=3
Current State: 16:[25, 44, 3], Operations: ['71-68=3']
Exploring Operation: 44-25=19, Resulting Numbers: [3, 19]
Generated Node #3: [3, 19] from Operation: 44-25=19
Current State: 16:[3, 19], Operations: ['71-68=3', '44-25=19']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
99,
16,
17,
34
] | 37 | [
"16+17=33",
"99/33=3",
"34+3=37"
] | Current State: 37:[99, 16, 17, 34], Operations: []
Exploring Operation: 16+17=33, Resulting Numbers: [99, 34, 33]
Generated Node #2: [99, 34, 33] from Operation: 16+17=33
Current State: 37:[99, 34, 33], Operations: ['16+17=33']
Exploring Operation: 99/33=3, Resulting Numbers: [34, 3]
Generated Node #3: [34, 3] from Operation: 99/33=3
Current State: 37:[34, 3], Operations: ['16+17=33', '99/33=3']
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
2,
12,
47,
14
] | 63 | [
"2*14=28",
"47-12=35",
"28+35=63"
] | Current State: 63:[2, 12, 47, 14], Operations: []
Exploring Operation: 2*14=28, Resulting Numbers: [12, 47, 28]
Generated Node #2: [12, 47, 28] from Operation: 2*14=28
Current State: 63:[12, 47, 28], Operations: ['2*14=28']
Exploring Operation: 47-12=35, Resulting Numbers: [28, 35]
Generated Node #3: [28, 35] from Operation: 47-12=35
Current State: 63:[28, 35], Operations: ['2*14=28', '47-12=35']
Exploring Operation: 28+35=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
59,
9,
17,
89
] | 67 | [
"89-17=72",
"72/9=8",
"59+8=67"
] | Current State: 67:[59, 9, 17, 89], Operations: []
Exploring Operation: 89-17=72, Resulting Numbers: [59, 9, 72]
Generated Node #2: [59, 9, 72] from Operation: 89-17=72
Current State: 67:[59, 9, 72], Operations: ['89-17=72']
Exploring Operation: 72/9=8, Resulting Numbers: [59, 8]
Generated Node #3: [59, 8] from Operation: 72/9=8
Current State: 67:[59, 8], Operations: ['89-17=72', '72/9=8']
Exploring Operation: 59+8=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
45,
17,
9,
62
] | 23 | [
"45*17=765",
"765/9=85",
"85-62=23"
] | Current State: 23:[45, 17, 9, 62], Operations: []
Exploring Operation: 45*17=765, Resulting Numbers: [9, 62, 765]
Generated Node #2: [9, 62, 765] from Operation: 45*17=765
Current State: 23:[9, 62, 765], Operations: ['45*17=765']
Exploring Operation: 765/9=85, Resulting Numbers: [62, 85]
Generated Node #3: [62, 85] from Operation: 765/9=85
Current State: 23:[62, 85], Operations: ['45*17=765', '765/9=85']
Exploring Operation: 85-62=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
96,
13,
45,
23
] | 26 | [
"45-13=32",
"96/32=3",
"23+3=26"
] | Current State: 26:[96, 13, 45, 23], Operations: []
Exploring Operation: 45-13=32, Resulting Numbers: [96, 23, 32]
Generated Node #2: [96, 23, 32] from Operation: 45-13=32
Current State: 26:[96, 23, 32], Operations: ['45-13=32']
Exploring Operation: 96/32=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 96/32=3
Current State: 26:[23, 3], Operations: ['45-13=32', '96/32=3']
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
5,
30,
59,
76
] | 52 | [
"5+30=35",
"76-59=17",
"35+17=52"
] | Current State: 52:[5, 30, 59, 76], Operations: []
Exploring Operation: 5+30=35, Resulting Numbers: [59, 76, 35]
Generated Node #2: [59, 76, 35] from Operation: 5+30=35
Current State: 52:[59, 76, 35], Operations: ['5+30=35']
Exploring Operation: 76-59=17, Resulting Numbers: [35, 17]
Generated Node #3: [35, 17] from Operation: 76-59=17
Current State: 52:[35, 17], Operations: ['5+30=35', '76-59=17']
Exploring Operation: 35+17=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
31,
97,
96,
16
] | 12 | [
"31+97=128",
"96*16=1536",
"1536/128=12"
] | Current State: 12:[31, 97, 96, 16], Operations: []
Exploring Operation: 31+97=128, Resulting Numbers: [96, 16, 128]
Generated Node #2: [96, 16, 128] from Operation: 31+97=128
Current State: 12:[96, 16, 128], Operations: ['31+97=128']
Exploring Operation: 96*16=1536, Resulting Numbers: [128, 1536]
Generated Node #3: [128, 1536] from Operation: 96*16=1536
Current State: 12:[128, 1536], Operations: ['31+97=128', '96*16=1536']
Exploring Operation: 1536/128=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
16,
54,
3,
96
] | 78 | [
"16+54=70",
"96-70=26",
"3*26=78"
] | Current State: 78:[16, 54, 3, 96], Operations: []
Exploring Operation: 16+54=70, Resulting Numbers: [3, 96, 70]
Generated Node #2: [3, 96, 70] from Operation: 16+54=70
Current State: 78:[3, 96, 70], Operations: ['16+54=70']
Exploring Operation: 96-70=26, Resulting Numbers: [3, 26]
Generated Node #3: [3, 26] from Operation: 96-70=26
Current State: 78:[3, 26], Operations: ['16+54=70', '96-70=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
9,
15,
18,
76
] | 52 | [
"15-9=6",
"76-18=58",
"58-6=52"
] | Current State: 52:[9, 15, 18, 76], Operations: []
Exploring Operation: 15-9=6, Resulting Numbers: [18, 76, 6]
Generated Node #2: [18, 76, 6] from Operation: 15-9=6
Current State: 52:[18, 76, 6], Operations: ['15-9=6']
Exploring Operation: 76-18=58, Resulting Numbers: [6, 58]
Generated Node #3: [6, 58] from Operation: 76-18=58
Current State: 52:[6, 58], Operations: ['15-9=6', '76-18=58']
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
20,
71,
10,
12
] | 93 | [
"20+71=91",
"12-10=2",
"91+2=93"
] | Current State: 93:[20, 71, 10, 12], Operations: []
Exploring Operation: 20+71=91, Resulting Numbers: [10, 12, 91]
Generated Node #2: [10, 12, 91] from Operation: 20+71=91
Current State: 93:[10, 12, 91], Operations: ['20+71=91']
Exploring Operation: 12-10=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 12-10=2
Current State: 93:[91, 2], Operations: ['20+71=91', '12-10=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
65,
52,
37,
65
] | 15 | [
"65+52=117",
"37+65=102",
"117-102=15"
] | Current State: 15:[65, 52, 37, 65], Operations: []
Exploring Operation: 65+52=117, Resulting Numbers: [37, 117]
Generated Node #2: [37, 117] from Operation: 65+52=117
Current State: 15:[37, 117], Operations: ['65+52=117']
Exploring Operation: 37+65=102, Resulting Numbers: [117, 102]
Generated Node #3: [117, 102] from Operation: 37+65=102
Current State: 15:[117, 102], Operations: ['65+52=117', '37+65=102']
Exploring Operation: 117-102=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
45,
96,
6,
51
] | 80 | [
"45+51=96",
"96/6=16",
"96-16=80"
] | Current State: 80:[45, 96, 6, 51], Operations: []
Exploring Operation: 45+51=96, Resulting Numbers: [96, 6, 96]
Generated Node #2: [96, 6, 96] from Operation: 45+51=96
Current State: 80:[96, 6, 96], Operations: ['45+51=96']
Exploring Operation: 96/6=16, Resulting Numbers: [16]
16,80 equal: Goal Reached
Exploring Operation: 96-16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
40,
34,
24,
8
] | 62 | [
"34*24=816",
"816/8=102",
"102-40=62"
] | Current State: 62:[40, 34, 24, 8], Operations: []
Exploring Operation: 34*24=816, Resulting Numbers: [40, 8, 816]
Generated Node #2: [40, 8, 816] from Operation: 34*24=816
Current State: 62:[40, 8, 816], Operations: ['34*24=816']
Exploring Operation: 816/8=102, Resulting Numbers: [40, 102]
Generated Node #3: [40, 102] from Operation: 816/8=102
Current State: 62:[40, 102], Operations: ['34*24=816', '816/8=102']
Exploring Operation: 102-40=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
37,
28,
12,
21
] | 53 | [
"28*12=336",
"336/21=16",
"37+16=53"
] | Current State: 53:[37, 28, 12, 21], Operations: []
Exploring Operation: 28*12=336, Resulting Numbers: [37, 21, 336]
Generated Node #2: [37, 21, 336] from Operation: 28*12=336
Current State: 53:[37, 21, 336], Operations: ['28*12=336']
Exploring Operation: 336/21=16, Resulting Numbers: [37, 16]
Generated Node #3: [37, 16] from Operation: 336/21=16
Current State: 53:[37, 16], Operations: ['28*12=336', '336/21=16']
Exploring Operation: 37+16=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
97,
35,
12,
60
] | 16 | [
"97+35=132",
"60+132=192",
"192/12=16"
] | Current State: 16:[97, 35, 12, 60], Operations: []
Exploring Operation: 97+35=132, Resulting Numbers: [12, 60, 132]
Generated Node #2: [12, 60, 132] from Operation: 97+35=132
Current State: 16:[12, 60, 132], Operations: ['97+35=132']
Exploring Operation: 60+132=192, Resulting Numbers: [12, 192]
Generated Node #3: [12, 192] from Operation: 60+132=192
Current State: 16:[12, 192], Operations: ['97+35=132', '60+132=192']
Exploring Operation: 192/12=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
86,
63,
42,
89
] | 21 | [
"89-86=3",
"63/3=21",
"42-21=21"
] | Current State: 21:[86, 63, 42, 89], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [63, 42, 3]
Generated Node #2: [63, 42, 3] from Operation: 89-86=3
Current State: 21:[63, 42, 3], Operations: ['89-86=3']
Exploring Operation: 63/3=21, Resulting Numbers: [42, 21]
Generated Node #3: [42, 21] from Operation: 63/3=21
Current State: 21:[42, 21], Operations: ['89-86=3', '63/3=21']
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
32,
10,
89,
38
] | 96 | [
"32+38=70",
"70/10=7",
"89+7=96"
] | Current State: 96:[32, 10, 89, 38], Operations: []
Exploring Operation: 32+38=70, Resulting Numbers: [10, 89, 70]
Generated Node #2: [10, 89, 70] from Operation: 32+38=70
Current State: 96:[10, 89, 70], Operations: ['32+38=70']
Exploring Operation: 70/10=7, Resulting Numbers: [89, 7]
Generated Node #3: [89, 7] from Operation: 70/10=7
Current State: 96:[89, 7], Operations: ['32+38=70', '70/10=7']
Exploring Operation: 89+7=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
78,
34,
23,
25
] | 92 | [
"78-34=44",
"23+25=48",
"44+48=92"
] | Current State: 92:[78, 34, 23, 25], Operations: []
Exploring Operation: 78-34=44, Resulting Numbers: [23, 25, 44]
Generated Node #2: [23, 25, 44] from Operation: 78-34=44
Current State: 92:[23, 25, 44], Operations: ['78-34=44']
Exploring Operation: 23+25=48, Resulting Numbers: [44, 48]
Generated Node #3: [44, 48] from Operation: 23+25=48
Current State: 92:[44, 48], Operations: ['78-34=44', '23+25=48']
Exploring Operation: 44+48=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
15,
45,
10,
25
] | 51 | [
"15*10=150",
"150/25=6",
"45+6=51"
] | Current State: 51:[15, 45, 10, 25], Operations: []
Exploring Operation: 15*10=150, Resulting Numbers: [45, 25, 150]
Generated Node #2: [45, 25, 150] from Operation: 15*10=150
Current State: 51:[45, 25, 150], Operations: ['15*10=150']
Exploring Operation: 150/25=6, Resulting Numbers: [45, 6]
Generated Node #3: [45, 6] from Operation: 150/25=6
Current State: 51:[45, 6], Operations: ['15*10=150', '150/25=6']
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
64,
83,
33,
85
] | 95 | [
"64+83=147",
"85-33=52",
"147-52=95"
] | Current State: 95:[64, 83, 33, 85], Operations: []
Exploring Operation: 64+83=147, Resulting Numbers: [33, 85, 147]
Generated Node #2: [33, 85, 147] from Operation: 64+83=147
Current State: 95:[33, 85, 147], Operations: ['64+83=147']
Exploring Operation: 85-33=52, Resulting Numbers: [147, 52]
Generated Node #3: [147, 52] from Operation: 85-33=52
Current State: 95:[147, 52], Operations: ['64+83=147', '85-33=52']
Exploring Operation: 147-52=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
24,
20,
62,
37
] | 69 | [
"24+20=44",
"62-37=25",
"44+25=69"
] | Current State: 69:[24, 20, 62, 37], Operations: []
Exploring Operation: 24+20=44, Resulting Numbers: [62, 37, 44]
Generated Node #2: [62, 37, 44] from Operation: 24+20=44
Current State: 69:[62, 37, 44], Operations: ['24+20=44']
Exploring Operation: 62-37=25, Resulting Numbers: [44, 25]
Generated Node #3: [44, 25] from Operation: 62-37=25
Current State: 69:[44, 25], Operations: ['24+20=44', '62-37=25']
Exploring Operation: 44+25=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
26,
27,
5,
91
] | 97 | [
"27-26=1",
"5+91=96",
"1+96=97"
] | Current State: 97:[26, 27, 5, 91], Operations: []
Exploring Operation: 27-26=1, Resulting Numbers: [5, 91, 1]
Generated Node #2: [5, 91, 1] from Operation: 27-26=1
Current State: 97:[5, 91, 1], Operations: ['27-26=1']
Exploring Operation: 5+91=96, Resulting Numbers: [1, 96]
Generated Node #3: [1, 96] from Operation: 5+91=96
Current State: 97:[1, 96], Operations: ['27-26=1', '5+91=96']
Exploring Operation: 1+96=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
79,
17,
2,
79
] | 45 | [
"79-17=62",
"2*62=124",
"124-79=45"
] | Current State: 45:[79, 17, 2, 79], Operations: []
Exploring Operation: 79-17=62, Resulting Numbers: [2, 62]
Generated Node #2: [2, 62] from Operation: 79-17=62
Current State: 45:[2, 62], Operations: ['79-17=62']
Exploring Operation: 2*62=124, Resulting Numbers: [124]
124,45 equal: Goal Reached
Exploring Operation: 124-79=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
2,
26,
95,
28
] | 54 | [
"26/2=13",
"95-28=67",
"67-13=54"
] | Current State: 54:[2, 26, 95, 28], Operations: []
Exploring Operation: 26/2=13, Resulting Numbers: [95, 28, 13]
Generated Node #2: [95, 28, 13] from Operation: 26/2=13
Current State: 54:[95, 28, 13], Operations: ['26/2=13']
Exploring Operation: 95-28=67, Resulting Numbers: [13, 67]
Generated Node #3: [13, 67] from Operation: 95-28=67
Current State: 54:[13, 67], Operations: ['26/2=13', '95-28=67']
Exploring Operation: 67-13=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
73,
9,
71,
74
] | 70 | [
"74-71=3",
"9/3=3",
"73-3=70"
] | Current State: 70:[73, 9, 71, 74], Operations: []
Exploring Operation: 74-71=3, Resulting Numbers: [73, 9, 3]
Generated Node #2: [73, 9, 3] from Operation: 74-71=3
Current State: 70:[73, 9, 3], Operations: ['74-71=3']
Exploring Operation: 9/3=3, Resulting Numbers: [73, 3]
Generated Node #3: [73, 3] from Operation: 9/3=3
Current State: 70:[73, 3], Operations: ['74-71=3', '9/3=3']
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
6,
91,
55,
97
] | 67 | [
"91-6=85",
"55+97=152",
"152-85=67"
] | Current State: 67:[6, 91, 55, 97], Operations: []
Exploring Operation: 91-6=85, Resulting Numbers: [55, 97, 85]
Generated Node #2: [55, 97, 85] from Operation: 91-6=85
Current State: 67:[55, 97, 85], Operations: ['91-6=85']
Exploring Operation: 55+97=152, Resulting Numbers: [85, 152]
Generated Node #3: [85, 152] from Operation: 55+97=152
Current State: 67:[85, 152], Operations: ['91-6=85', '55+97=152']
Exploring Operation: 152-85=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
56,
3,
43,
27
] | 11 | [
"56+3=59",
"43+27=70",
"70-59=11"
] | Current State: 11:[56, 3, 43, 27], Operations: []
Exploring Operation: 56+3=59, Resulting Numbers: [43, 27, 59]
Generated Node #2: [43, 27, 59] from Operation: 56+3=59
Current State: 11:[43, 27, 59], Operations: ['56+3=59']
Exploring Operation: 43+27=70, Resulting Numbers: [59, 70]
Generated Node #3: [59, 70] from Operation: 43+27=70
Current State: 11:[59, 70], Operations: ['56+3=59', '43+27=70']
Exploring Operation: 70-59=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
9,
5,
76,
34
] | 71 | [
"34-9=25",
"25/5=5",
"76-5=71"
] | Current State: 71:[9, 5, 76, 34], Operations: []
Exploring Operation: 34-9=25, Resulting Numbers: [5, 76, 25]
Generated Node #2: [5, 76, 25] from Operation: 34-9=25
Current State: 71:[5, 76, 25], Operations: ['34-9=25']
Exploring Operation: 25/5=5, Resulting Numbers: [76, 5]
Generated Node #3: [76, 5] from Operation: 25/5=5
Current State: 71:[76, 5], Operations: ['34-9=25', '25/5=5']
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
42,
24,
9,
66
] | 36 | [
"42+66=108",
"108/9=12",
"24+12=36"
] | Current State: 36:[42, 24, 9, 66], Operations: []
Exploring Operation: 42+66=108, Resulting Numbers: [24, 9, 108]
Generated Node #2: [24, 9, 108] from Operation: 42+66=108
Current State: 36:[24, 9, 108], Operations: ['42+66=108']
Exploring Operation: 108/9=12, Resulting Numbers: [24, 12]
Generated Node #3: [24, 12] from Operation: 108/9=12
Current State: 36:[24, 12], Operations: ['42+66=108', '108/9=12']
Exploring Operation: 24+12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
39,
38,
92,
78
] | 92 | [
"39+38=77",
"78-77=1",
"92*1=92"
] | Current State: 92:[39, 38, 92, 78], Operations: []
Exploring Operation: 39+38=77, Resulting Numbers: [92, 78, 77]
Generated Node #2: [92, 78, 77] from Operation: 39+38=77
Current State: 92:[92, 78, 77], Operations: ['39+38=77']
Exploring Operation: 78-77=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 78-77=1
Current State: 92:[92, 1], Operations: ['39+38=77', '78-77=1']
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
70,
78,
2,
52
] | 57 | [
"70-52=18",
"78/2=39",
"18+39=57"
] | Current State: 57:[70, 78, 2, 52], Operations: []
Exploring Operation: 70-52=18, Resulting Numbers: [78, 2, 18]
Generated Node #2: [78, 2, 18] from Operation: 70-52=18
Current State: 57:[78, 2, 18], Operations: ['70-52=18']
Exploring Operation: 78/2=39, Resulting Numbers: [18, 39]
Generated Node #3: [18, 39] from Operation: 78/2=39
Current State: 57:[18, 39], Operations: ['70-52=18', '78/2=39']
Exploring Operation: 18+39=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
43,
98,
4,
28
] | 46 | [
"43*4=172",
"98+28=126",
"172-126=46"
] | Current State: 46:[43, 98, 4, 28], Operations: []
Exploring Operation: 43*4=172, Resulting Numbers: [98, 28, 172]
Generated Node #2: [98, 28, 172] from Operation: 43*4=172
Current State: 46:[98, 28, 172], Operations: ['43*4=172']
Exploring Operation: 98+28=126, Resulting Numbers: [172, 126]
Generated Node #3: [172, 126] from Operation: 98+28=126
Current State: 46:[172, 126], Operations: ['43*4=172', '98+28=126']
Exploring Operation: 172-126=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
6,
50,
6,
71
] | 90 | [
"6+50=56",
"71-56=15",
"6*15=90"
] | Current State: 90:[6, 50, 6, 71], Operations: []
Exploring Operation: 6+50=56, Resulting Numbers: [71, 56]
Generated Node #2: [71, 56] from Operation: 6+50=56
Current State: 90:[71, 56], Operations: ['6+50=56']
Exploring Operation: 71-56=15, Resulting Numbers: [15]
15,90 equal: Goal Reached
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
18,
56,
53,
42
] | 48 | [
"56-53=3",
"18/3=6",
"42+6=48"
] | Current State: 48:[18, 56, 53, 42], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [18, 42, 3]
Generated Node #2: [18, 42, 3] from Operation: 56-53=3
Current State: 48:[18, 42, 3], Operations: ['56-53=3']
Exploring Operation: 18/3=6, Resulting Numbers: [42, 6]
Generated Node #3: [42, 6] from Operation: 18/3=6
Current State: 48:[42, 6], Operations: ['56-53=3', '18/3=6']
Exploring Operation: 42+6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
99,
11,
30,
21
] | 44 | [
"99+21=120",
"11*120=1320",
"1320/30=44"
] | Current State: 44:[99, 11, 30, 21], Operations: []
Exploring Operation: 99+21=120, Resulting Numbers: [11, 30, 120]
Generated Node #2: [11, 30, 120] from Operation: 99+21=120
Current State: 44:[11, 30, 120], Operations: ['99+21=120']
Exploring Operation: 11*120=1320, Resulting Numbers: [30, 1320]
Generated Node #3: [30, 1320] from Operation: 11*120=1320
Current State: 44:[30, 1320], Operations: ['99+21=120', '11*120=1320']
Exploring Operation: 1320/30=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
48,
21,
16,
23
] | 67 | [
"21-16=5",
"23*5=115",
"115-48=67"
] | Current State: 67:[48, 21, 16, 23], Operations: []
Exploring Operation: 21-16=5, Resulting Numbers: [48, 23, 5]
Generated Node #2: [48, 23, 5] from Operation: 21-16=5
Current State: 67:[48, 23, 5], Operations: ['21-16=5']
Exploring Operation: 23*5=115, Resulting Numbers: [48, 115]
Generated Node #3: [48, 115] from Operation: 23*5=115
Current State: 67:[48, 115], Operations: ['21-16=5', '23*5=115']
Exploring Operation: 115-48=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
5,
3,
83,
70
] | 62 | [
"83-70=13",
"5*13=65",
"65-3=62"
] | Current State: 62:[5, 3, 83, 70], Operations: []
Exploring Operation: 83-70=13, Resulting Numbers: [5, 3, 13]
Generated Node #2: [5, 3, 13] from Operation: 83-70=13
Current State: 62:[5, 3, 13], Operations: ['83-70=13']
Exploring Operation: 5*13=65, Resulting Numbers: [3, 65]
Generated Node #3: [3, 65] from Operation: 5*13=65
Current State: 62:[3, 65], Operations: ['83-70=13', '5*13=65']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
70,
41,
58,
6
] | 39 | [
"70-58=12",
"12/6=2",
"41-2=39"
] | Current State: 39:[70, 41, 58, 6], Operations: []
Exploring Operation: 70-58=12, Resulting Numbers: [41, 6, 12]
Generated Node #2: [41, 6, 12] from Operation: 70-58=12
Current State: 39:[41, 6, 12], Operations: ['70-58=12']
Exploring Operation: 12/6=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 12/6=2
Current State: 39:[41, 2], Operations: ['70-58=12', '12/6=2']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
79,
68,
32,
78
] | 57 | [
"79-68=11",
"78-32=46",
"11+46=57"
] | Current State: 57:[79, 68, 32, 78], Operations: []
Exploring Operation: 79-68=11, Resulting Numbers: [32, 78, 11]
Generated Node #2: [32, 78, 11] from Operation: 79-68=11
Current State: 57:[32, 78, 11], Operations: ['79-68=11']
Exploring Operation: 78-32=46, Resulting Numbers: [11, 46]
Generated Node #3: [11, 46] from Operation: 78-32=46
Current State: 57:[11, 46], Operations: ['79-68=11', '78-32=46']
Exploring Operation: 11+46=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
33,
65,
1,
38
] | 71 | [
"65-33=32",
"1+38=39",
"32+39=71"
] | Current State: 71:[33, 65, 1, 38], Operations: []
Exploring Operation: 65-33=32, Resulting Numbers: [1, 38, 32]
Generated Node #2: [1, 38, 32] from Operation: 65-33=32
Current State: 71:[1, 38, 32], Operations: ['65-33=32']
Exploring Operation: 1+38=39, Resulting Numbers: [32, 39]
Generated Node #3: [32, 39] from Operation: 1+38=39
Current State: 71:[32, 39], Operations: ['65-33=32', '1+38=39']
Exploring Operation: 32+39=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
48,
38,
24,
98
] | 87 | [
"48/24=2",
"98/2=49",
"38+49=87"
] | Current State: 87:[48, 38, 24, 98], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [38, 98, 2]
Generated Node #2: [38, 98, 2] from Operation: 48/24=2
Current State: 87:[38, 98, 2], Operations: ['48/24=2']
Exploring Operation: 98/2=49, Resulting Numbers: [38, 49]
Generated Node #3: [38, 49] from Operation: 98/2=49
Current State: 87:[38, 49], Operations: ['48/24=2', '98/2=49']
Exploring Operation: 38+49=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
40,
55,
84,
91
] | 80 | [
"40+55=95",
"84+91=175",
"175-95=80"
] | Current State: 80:[40, 55, 84, 91], Operations: []
Exploring Operation: 40+55=95, Resulting Numbers: [84, 91, 95]
Generated Node #2: [84, 91, 95] from Operation: 40+55=95
Current State: 80:[84, 91, 95], Operations: ['40+55=95']
Exploring Operation: 84+91=175, Resulting Numbers: [95, 175]
Generated Node #3: [95, 175] from Operation: 84+91=175
Current State: 80:[95, 175], Operations: ['40+55=95', '84+91=175']
Exploring Operation: 175-95=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
23,
17,
13,
20
] | 13 | [
"23-17=6",
"20-13=7",
"6+7=13"
] | Current State: 13:[23, 17, 13, 20], Operations: []
Exploring Operation: 23-17=6, Resulting Numbers: [13, 20, 6]
Generated Node #2: [13, 20, 6] from Operation: 23-17=6
Current State: 13:[13, 20, 6], Operations: ['23-17=6']
Exploring Operation: 20-13=7, Resulting Numbers: [6, 7]
Generated Node #3: [6, 7] from Operation: 20-13=7
Current State: 13:[6, 7], Operations: ['23-17=6', '20-13=7']
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
69,
72,
3,
50
] | 85 | [
"69*3=207",
"72+50=122",
"207-122=85"
] | Current State: 85:[69, 72, 3, 50], Operations: []
Exploring Operation: 69*3=207, Resulting Numbers: [72, 50, 207]
Generated Node #2: [72, 50, 207] from Operation: 69*3=207
Current State: 85:[72, 50, 207], Operations: ['69*3=207']
Exploring Operation: 72+50=122, Resulting Numbers: [207, 122]
Generated Node #3: [207, 122] from Operation: 72+50=122
Current State: 85:[207, 122], Operations: ['69*3=207', '72+50=122']
Exploring Operation: 207-122=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
34,
22,
51,
36
] | 27 | [
"34-22=12",
"51-36=15",
"12+15=27"
] | Current State: 27:[34, 22, 51, 36], Operations: []
Exploring Operation: 34-22=12, Resulting Numbers: [51, 36, 12]
Generated Node #2: [51, 36, 12] from Operation: 34-22=12
Current State: 27:[51, 36, 12], Operations: ['34-22=12']
Exploring Operation: 51-36=15, Resulting Numbers: [12, 15]
Generated Node #3: [12, 15] from Operation: 51-36=15
Current State: 27:[12, 15], Operations: ['34-22=12', '51-36=15']
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
66,
72,
73,
30
] | 96 | [
"66+30=96",
"73-72=1",
"96*1=96"
] | Current State: 96:[66, 72, 73, 30], Operations: []
Exploring Operation: 66+30=96, Resulting Numbers: [72, 73, 96]
Generated Node #2: [72, 73, 96] from Operation: 66+30=96
Current State: 96:[72, 73, 96], Operations: ['66+30=96']
Exploring Operation: 73-72=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 73-72=1
Current State: 96:[96, 1], Operations: ['66+30=96', '73-72=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
56,
52,
13,
40
] | 20 | [
"56-40=16",
"52/13=4",
"16+4=20"
] | Current State: 20:[56, 52, 13, 40], Operations: []
Exploring Operation: 56-40=16, Resulting Numbers: [52, 13, 16]
Generated Node #2: [52, 13, 16] from Operation: 56-40=16
Current State: 20:[52, 13, 16], Operations: ['56-40=16']
Exploring Operation: 52/13=4, Resulting Numbers: [16, 4]
Generated Node #3: [16, 4] from Operation: 52/13=4
Current State: 20:[16, 4], Operations: ['56-40=16', '52/13=4']
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
77,
92,
55,
55
] | 16 | [
"92-77=15",
"55/55=1",
"15+1=16"
] | Current State: 16:[77, 92, 55, 55], Operations: []
Exploring Operation: 92-77=15, Resulting Numbers: [55, 55, 15]
Generated Node #2: [55, 55, 15] from Operation: 92-77=15
Current State: 16:[55, 55, 15], Operations: ['92-77=15']
Exploring Operation: 55/55=1, Resulting Numbers: [15, 1]
Generated Node #3: [15, 1] from Operation: 55/55=1
Current State: 16:[15, 1], Operations: ['92-77=15', '55/55=1']
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
34,
64,
51,
2
] | 48 | [
"34*2=68",
"64*51=3264",
"3264/68=48"
] | Current State: 48:[34, 64, 51, 2], Operations: []
Exploring Operation: 34*2=68, Resulting Numbers: [64, 51, 68]
Generated Node #2: [64, 51, 68] from Operation: 34*2=68
Current State: 48:[64, 51, 68], Operations: ['34*2=68']
Exploring Operation: 64*51=3264, Resulting Numbers: [68, 3264]
Generated Node #3: [68, 3264] from Operation: 64*51=3264
Current State: 48:[68, 3264], Operations: ['34*2=68', '64*51=3264']
Exploring Operation: 3264/68=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
28,
46,
2,
23
] | 58 | [
"28*46=1288",
"1288/23=56",
"2+56=58"
] | Current State: 58:[28, 46, 2, 23], Operations: []
Exploring Operation: 28*46=1288, Resulting Numbers: [2, 23, 1288]
Generated Node #2: [2, 23, 1288] from Operation: 28*46=1288
Current State: 58:[2, 23, 1288], Operations: ['28*46=1288']
Exploring Operation: 1288/23=56, Resulting Numbers: [2, 56]
Generated Node #3: [2, 56] from Operation: 1288/23=56
Current State: 58:[2, 56], Operations: ['28*46=1288', '1288/23=56']
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
9,
41,
6,
50
] | 24 | [
"41-9=32",
"6+50=56",
"56-32=24"
] | Current State: 24:[9, 41, 6, 50], Operations: []
Exploring Operation: 41-9=32, Resulting Numbers: [6, 50, 32]
Generated Node #2: [6, 50, 32] from Operation: 41-9=32
Current State: 24:[6, 50, 32], Operations: ['41-9=32']
Exploring Operation: 6+50=56, Resulting Numbers: [32, 56]
Generated Node #3: [32, 56] from Operation: 6+50=56
Current State: 24:[32, 56], Operations: ['41-9=32', '6+50=56']
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
16,
40,
81,
51
] | 76 | [
"16+40=56",
"81+51=132",
"132-56=76"
] | Current State: 76:[16, 40, 81, 51], Operations: []
Exploring Operation: 16+40=56, Resulting Numbers: [81, 51, 56]
Generated Node #2: [81, 51, 56] from Operation: 16+40=56
Current State: 76:[81, 51, 56], Operations: ['16+40=56']
Exploring Operation: 81+51=132, Resulting Numbers: [56, 132]
Generated Node #3: [56, 132] from Operation: 81+51=132
Current State: 76:[56, 132], Operations: ['16+40=56', '81+51=132']
Exploring Operation: 132-56=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
5,
88,
2,
2
] | 82 | [
"88-5=83",
"2/2=1",
"83-1=82"
] | Current State: 82:[5, 88, 2, 2], Operations: []
Exploring Operation: 88-5=83, Resulting Numbers: [2, 2, 83]
Generated Node #2: [2, 2, 83] from Operation: 88-5=83
Current State: 82:[2, 2, 83], Operations: ['88-5=83']
Exploring Operation: 2/2=1, Resulting Numbers: [83, 1]
Generated Node #3: [83, 1] from Operation: 2/2=1
Current State: 82:[83, 1], Operations: ['88-5=83', '2/2=1']
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
86,
24,
4,
89
] | 18 | [
"89-86=3",
"24/4=6",
"3*6=18"
] | Current State: 18:[86, 24, 4, 89], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [24, 4, 3]
Generated Node #2: [24, 4, 3] from Operation: 89-86=3
Current State: 18:[24, 4, 3], Operations: ['89-86=3']
Exploring Operation: 24/4=6, Resulting Numbers: [3, 6]
Generated Node #3: [3, 6] from Operation: 24/4=6
Current State: 18:[3, 6], Operations: ['89-86=3', '24/4=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
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