nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
27,
1,
15,
80
] | 37 | [
"27+1=28",
"80-15=65",
"65-28=37"
] | Current State: 37:[27, 1, 15, 80], Operations: []
Exploring Operation: 27+1=28, Resulting Numbers: [15, 80, 28]
Generated Node #2: [15, 80, 28] from Operation: 27+1=28
Current State: 37:[15, 80, 28], Operations: ['27+1=28']
Exploring Operation: 80-15=65, Resulting Numbers: [28, 65]
Generated Node #3: [28, 65] from Operation: 80-15=65
Current State: 37:[28, 65], Operations: ['27+1=28', '80-15=65']
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
59,
96,
6,
23
] | 66 | [
"96-59=37",
"6+23=29",
"37+29=66"
] | Current State: 66:[59, 96, 6, 23], Operations: []
Exploring Operation: 96-59=37, Resulting Numbers: [6, 23, 37]
Generated Node #2: [6, 23, 37] from Operation: 96-59=37
Current State: 66:[6, 23, 37], Operations: ['96-59=37']
Exploring Operation: 6+23=29, Resulting Numbers: [37, 29]
Generated Node #3: [37, 29] from Operation: 6+23=29
Current State: 66:[37, 29], Operations: ['96-59=37', '6+23=29']
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
46,
20,
26,
2
] | 49 | [
"26-20=6",
"6/2=3",
"46+3=49"
] | Current State: 49:[46, 20, 26, 2], Operations: []
Exploring Operation: 26-20=6, Resulting Numbers: [46, 2, 6]
Generated Node #2: [46, 2, 6] from Operation: 26-20=6
Current State: 49:[46, 2, 6], Operations: ['26-20=6']
Exploring Operation: 6/2=3, Resulting Numbers: [46, 3]
Generated Node #3: [46, 3] from Operation: 6/2=3
Current State: 49:[46, 3], Operations: ['26-20=6', '6/2=3']
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
7,
74,
56,
37
] | 12 | [
"7+74=81",
"56+37=93",
"93-81=12"
] | Current State: 12:[7, 74, 56, 37], Operations: []
Exploring Operation: 7+74=81, Resulting Numbers: [56, 37, 81]
Generated Node #2: [56, 37, 81] from Operation: 7+74=81
Current State: 12:[56, 37, 81], Operations: ['7+74=81']
Exploring Operation: 56+37=93, Resulting Numbers: [81, 93]
Generated Node #3: [81, 93] from Operation: 56+37=93
Current State: 12:[81, 93], Operations: ['7+74=81', '56+37=93']
Exploring Operation: 93-81=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
43,
52,
51,
9
] | 51 | [
"52-43=9",
"51+9=60",
"60-9=51"
] | Current State: 51:[43, 52, 51, 9], Operations: []
Exploring Operation: 52-43=9, Resulting Numbers: [51, 9, 9]
Generated Node #2: [51, 9, 9] from Operation: 52-43=9
Current State: 51:[51, 9, 9], Operations: ['52-43=9']
Exploring Operation: 51+9=60, Resulting Numbers: [60]
60,51 equal: Goal Reached
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
8,
77,
98,
26
] | 55 | [
"77-8=69",
"98+26=124",
"124-69=55"
] | Current State: 55:[8, 77, 98, 26], Operations: []
Exploring Operation: 77-8=69, Resulting Numbers: [98, 26, 69]
Generated Node #2: [98, 26, 69] from Operation: 77-8=69
Current State: 55:[98, 26, 69], Operations: ['77-8=69']
Exploring Operation: 98+26=124, Resulting Numbers: [69, 124]
Generated Node #3: [69, 124] from Operation: 98+26=124
Current State: 55:[69, 124], Operations: ['77-8=69', '98+26=124']
Exploring Operation: 124-69=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
86,
78,
12,
9
] | 60 | [
"86-78=8",
"9*8=72",
"72-12=60"
] | Current State: 60:[86, 78, 12, 9], Operations: []
Exploring Operation: 86-78=8, Resulting Numbers: [12, 9, 8]
Generated Node #2: [12, 9, 8] from Operation: 86-78=8
Current State: 60:[12, 9, 8], Operations: ['86-78=8']
Exploring Operation: 9*8=72, Resulting Numbers: [12, 72]
Generated Node #3: [12, 72] from Operation: 9*8=72
Current State: 60:[12, 72], Operations: ['86-78=8', '9*8=72']
Exploring Operation: 72-12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
12,
3,
13,
32
] | 11 | [
"13-12=1",
"32+1=33",
"33/3=11"
] | Current State: 11:[12, 3, 13, 32], Operations: []
Exploring Operation: 13-12=1, Resulting Numbers: [3, 32, 1]
Generated Node #2: [3, 32, 1] from Operation: 13-12=1
Current State: 11:[3, 32, 1], Operations: ['13-12=1']
Exploring Operation: 32+1=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 32+1=33
Current State: 11:[3, 33], Operations: ['13-12=1', '32+1=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
45,
7,
25,
2
] | 85 | [
"45*2=90",
"7*25=175",
"175-90=85"
] | Current State: 85:[45, 7, 25, 2], Operations: []
Exploring Operation: 45*2=90, Resulting Numbers: [7, 25, 90]
Generated Node #2: [7, 25, 90] from Operation: 45*2=90
Current State: 85:[7, 25, 90], Operations: ['45*2=90']
Exploring Operation: 7*25=175, Resulting Numbers: [90, 175]
Generated Node #3: [90, 175] from Operation: 7*25=175
Current State: 85:[90, 175], Operations: ['45*2=90', '7*25=175']
Exploring Operation: 175-90=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
95,
5,
10,
70
] | 50 | [
"95-70=25",
"10/5=2",
"25*2=50"
] | Current State: 50:[95, 5, 10, 70], Operations: []
Exploring Operation: 95-70=25, Resulting Numbers: [5, 10, 25]
Generated Node #2: [5, 10, 25] from Operation: 95-70=25
Current State: 50:[5, 10, 25], Operations: ['95-70=25']
Exploring Operation: 10/5=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 10/5=2
Current State: 50:[25, 2], Operations: ['95-70=25', '10/5=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
55,
28,
34,
71
] | 96 | [
"71-55=16",
"34-28=6",
"16*6=96"
] | Current State: 96:[55, 28, 34, 71], Operations: []
Exploring Operation: 71-55=16, Resulting Numbers: [28, 34, 16]
Generated Node #2: [28, 34, 16] from Operation: 71-55=16
Current State: 96:[28, 34, 16], Operations: ['71-55=16']
Exploring Operation: 34-28=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 34-28=6
Current State: 96:[16, 6], Operations: ['71-55=16', '34-28=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
5,
12,
96,
32
] | 10 | [
"12-5=7",
"96/32=3",
"7+3=10"
] | Current State: 10:[5, 12, 96, 32], Operations: []
Exploring Operation: 12-5=7, Resulting Numbers: [96, 32, 7]
Generated Node #2: [96, 32, 7] from Operation: 12-5=7
Current State: 10:[96, 32, 7], Operations: ['12-5=7']
Exploring Operation: 96/32=3, Resulting Numbers: [7, 3]
Generated Node #3: [7, 3] from Operation: 96/32=3
Current State: 10:[7, 3], Operations: ['12-5=7', '96/32=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
8,
2,
36,
60
] | 52 | [
"8+36=44",
"60+44=104",
"104/2=52"
] | Current State: 52:[8, 2, 36, 60], Operations: []
Exploring Operation: 8+36=44, Resulting Numbers: [2, 60, 44]
Generated Node #2: [2, 60, 44] from Operation: 8+36=44
Current State: 52:[2, 60, 44], Operations: ['8+36=44']
Exploring Operation: 60+44=104, Resulting Numbers: [2, 104]
Generated Node #3: [2, 104] from Operation: 60+44=104
Current State: 52:[2, 104], Operations: ['8+36=44', '60+44=104']
Exploring Operation: 104/2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
40,
56,
5,
32
] | 39 | [
"40/5=8",
"56/8=7",
"32+7=39"
] | Current State: 39:[40, 56, 5, 32], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [56, 32, 8]
Generated Node #2: [56, 32, 8] from Operation: 40/5=8
Current State: 39:[56, 32, 8], Operations: ['40/5=8']
Exploring Operation: 56/8=7, Resulting Numbers: [32, 7]
Generated Node #3: [32, 7] from Operation: 56/8=7
Current State: 39:[32, 7], Operations: ['40/5=8', '56/8=7']
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
48,
14,
72,
64
] | 64 | [
"48+64=112",
"112/14=8",
"72-8=64"
] | Current State: 64:[48, 14, 72, 64], Operations: []
Exploring Operation: 48+64=112, Resulting Numbers: [14, 72, 112]
Generated Node #2: [14, 72, 112] from Operation: 48+64=112
Current State: 64:[14, 72, 112], Operations: ['48+64=112']
Exploring Operation: 112/14=8, Resulting Numbers: [72, 8]
Generated Node #3: [72, 8] from Operation: 112/14=8
Current State: 64:[72, 8], Operations: ['48+64=112', '112/14=8']
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
67,
66,
49,
83
] | 85 | [
"67*83=5561",
"49+5561=5610",
"5610/66=85"
] | Current State: 85:[67, 66, 49, 83], Operations: []
Exploring Operation: 67*83=5561, Resulting Numbers: [66, 49, 5561]
Generated Node #2: [66, 49, 5561] from Operation: 67*83=5561
Current State: 85:[66, 49, 5561], Operations: ['67*83=5561']
Exploring Operation: 49+5561=5610, Resulting Numbers: [66, 5610]
Generated Node #3: [66, 5610] from Operation: 49+5561=5610
Current State: 85:[66, 5610], Operations: ['67*83=5561', '49+5561=5610']
Exploring Operation: 5610/66=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
78,
70,
72,
94
] | 55 | [
"72-70=2",
"78/2=39",
"94-39=55"
] | Current State: 55:[78, 70, 72, 94], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [78, 94, 2]
Generated Node #2: [78, 94, 2] from Operation: 72-70=2
Current State: 55:[78, 94, 2], Operations: ['72-70=2']
Exploring Operation: 78/2=39, Resulting Numbers: [94, 39]
Generated Node #3: [94, 39] from Operation: 78/2=39
Current State: 55:[94, 39], Operations: ['72-70=2', '78/2=39']
Exploring Operation: 94-39=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
44,
86,
56,
19
] | 55 | [
"44+86=130",
"56+19=75",
"130-75=55"
] | Current State: 55:[44, 86, 56, 19], Operations: []
Exploring Operation: 44+86=130, Resulting Numbers: [56, 19, 130]
Generated Node #2: [56, 19, 130] from Operation: 44+86=130
Current State: 55:[56, 19, 130], Operations: ['44+86=130']
Exploring Operation: 56+19=75, Resulting Numbers: [130, 75]
Generated Node #3: [130, 75] from Operation: 56+19=75
Current State: 55:[130, 75], Operations: ['44+86=130', '56+19=75']
Exploring Operation: 130-75=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
95,
9,
99,
68
] | 96 | [
"95-68=27",
"27/9=3",
"99-3=96"
] | Current State: 96:[95, 9, 99, 68], Operations: []
Exploring Operation: 95-68=27, Resulting Numbers: [9, 99, 27]
Generated Node #2: [9, 99, 27] from Operation: 95-68=27
Current State: 96:[9, 99, 27], Operations: ['95-68=27']
Exploring Operation: 27/9=3, Resulting Numbers: [99, 3]
Generated Node #3: [99, 3] from Operation: 27/9=3
Current State: 96:[99, 3], Operations: ['95-68=27', '27/9=3']
Exploring Operation: 99-3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
7,
8,
5,
12
] | 71 | [
"7*12=84",
"8+5=13",
"84-13=71"
] | Current State: 71:[7, 8, 5, 12], Operations: []
Exploring Operation: 7*12=84, Resulting Numbers: [8, 5, 84]
Generated Node #2: [8, 5, 84] from Operation: 7*12=84
Current State: 71:[8, 5, 84], Operations: ['7*12=84']
Exploring Operation: 8+5=13, Resulting Numbers: [84, 13]
Generated Node #3: [84, 13] from Operation: 8+5=13
Current State: 71:[84, 13], Operations: ['7*12=84', '8+5=13']
Exploring Operation: 84-13=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
17,
57,
16,
55
] | 50 | [
"57-55=2",
"17*2=34",
"16+34=50"
] | Current State: 50:[17, 57, 16, 55], Operations: []
Exploring Operation: 57-55=2, Resulting Numbers: [17, 16, 2]
Generated Node #2: [17, 16, 2] from Operation: 57-55=2
Current State: 50:[17, 16, 2], Operations: ['57-55=2']
Exploring Operation: 17*2=34, Resulting Numbers: [16, 34]
Generated Node #3: [16, 34] from Operation: 17*2=34
Current State: 50:[16, 34], Operations: ['57-55=2', '17*2=34']
Exploring Operation: 16+34=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
70,
91,
76,
83
] | 48 | [
"76-70=6",
"91-83=8",
"6*8=48"
] | Current State: 48:[70, 91, 76, 83], Operations: []
Exploring Operation: 76-70=6, Resulting Numbers: [91, 83, 6]
Generated Node #2: [91, 83, 6] from Operation: 76-70=6
Current State: 48:[91, 83, 6], Operations: ['76-70=6']
Exploring Operation: 91-83=8, Resulting Numbers: [6, 8]
Generated Node #3: [6, 8] from Operation: 91-83=8
Current State: 48:[6, 8], Operations: ['76-70=6', '91-83=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
54,
1,
28,
41
] | 42 | [
"54+1=55",
"41-28=13",
"55-13=42"
] | Current State: 42:[54, 1, 28, 41], Operations: []
Exploring Operation: 54+1=55, Resulting Numbers: [28, 41, 55]
Generated Node #2: [28, 41, 55] from Operation: 54+1=55
Current State: 42:[28, 41, 55], Operations: ['54+1=55']
Exploring Operation: 41-28=13, Resulting Numbers: [55, 13]
Generated Node #3: [55, 13] from Operation: 41-28=13
Current State: 42:[55, 13], Operations: ['54+1=55', '41-28=13']
Exploring Operation: 55-13=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
26,
45,
47,
27
] | 91 | [
"26+45=71",
"47-27=20",
"71+20=91"
] | Current State: 91:[26, 45, 47, 27], Operations: []
Exploring Operation: 26+45=71, Resulting Numbers: [47, 27, 71]
Generated Node #2: [47, 27, 71] from Operation: 26+45=71
Current State: 91:[47, 27, 71], Operations: ['26+45=71']
Exploring Operation: 47-27=20, Resulting Numbers: [71, 20]
Generated Node #3: [71, 20] from Operation: 47-27=20
Current State: 91:[71, 20], Operations: ['26+45=71', '47-27=20']
Exploring Operation: 71+20=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
27,
79,
83,
11
] | 42 | [
"79-27=52",
"83+11=94",
"94-52=42"
] | Current State: 42:[27, 79, 83, 11], Operations: []
Exploring Operation: 79-27=52, Resulting Numbers: [83, 11, 52]
Generated Node #2: [83, 11, 52] from Operation: 79-27=52
Current State: 42:[83, 11, 52], Operations: ['79-27=52']
Exploring Operation: 83+11=94, Resulting Numbers: [52, 94]
Generated Node #3: [52, 94] from Operation: 83+11=94
Current State: 42:[52, 94], Operations: ['79-27=52', '83+11=94']
Exploring Operation: 94-52=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
12,
66,
75,
63
] | 17 | [
"66+75=141",
"63+141=204",
"204/12=17"
] | Current State: 17:[12, 66, 75, 63], Operations: []
Exploring Operation: 66+75=141, Resulting Numbers: [12, 63, 141]
Generated Node #2: [12, 63, 141] from Operation: 66+75=141
Current State: 17:[12, 63, 141], Operations: ['66+75=141']
Exploring Operation: 63+141=204, Resulting Numbers: [12, 204]
Generated Node #3: [12, 204] from Operation: 63+141=204
Current State: 17:[12, 204], Operations: ['66+75=141', '63+141=204']
Exploring Operation: 204/12=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
23,
15,
5,
32
] | 35 | [
"23-15=8",
"32-5=27",
"8+27=35"
] | Current State: 35:[23, 15, 5, 32], Operations: []
Exploring Operation: 23-15=8, Resulting Numbers: [5, 32, 8]
Generated Node #2: [5, 32, 8] from Operation: 23-15=8
Current State: 35:[5, 32, 8], Operations: ['23-15=8']
Exploring Operation: 32-5=27, Resulting Numbers: [8, 27]
Generated Node #3: [8, 27] from Operation: 32-5=27
Current State: 35:[8, 27], Operations: ['23-15=8', '32-5=27']
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
50,
18,
54,
16
] | 31 | [
"50-16=34",
"54/18=3",
"34-3=31"
] | Current State: 31:[50, 18, 54, 16], Operations: []
Exploring Operation: 50-16=34, Resulting Numbers: [18, 54, 34]
Generated Node #2: [18, 54, 34] from Operation: 50-16=34
Current State: 31:[18, 54, 34], Operations: ['50-16=34']
Exploring Operation: 54/18=3, Resulting Numbers: [34, 3]
Generated Node #3: [34, 3] from Operation: 54/18=3
Current State: 31:[34, 3], Operations: ['50-16=34', '54/18=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
77,
22,
67,
96
] | 33 | [
"77+67=144",
"22*144=3168",
"3168/96=33"
] | Current State: 33:[77, 22, 67, 96], Operations: []
Exploring Operation: 77+67=144, Resulting Numbers: [22, 96, 144]
Generated Node #2: [22, 96, 144] from Operation: 77+67=144
Current State: 33:[22, 96, 144], Operations: ['77+67=144']
Exploring Operation: 22*144=3168, Resulting Numbers: [96, 3168]
Generated Node #3: [96, 3168] from Operation: 22*144=3168
Current State: 33:[96, 3168], Operations: ['77+67=144', '22*144=3168']
Exploring Operation: 3168/96=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
86,
55,
82,
4
] | 56 | [
"86-82=4",
"4/4=1",
"55+1=56"
] | Current State: 56:[86, 55, 82, 4], Operations: []
Exploring Operation: 86-82=4, Resulting Numbers: [55, 4, 4]
Generated Node #2: [55, 4, 4] from Operation: 86-82=4
Current State: 56:[55, 4, 4], Operations: ['86-82=4']
Exploring Operation: 4/4=1, Resulting Numbers: [55, 1]
Generated Node #3: [55, 1] from Operation: 4/4=1
Current State: 56:[55, 1], Operations: ['86-82=4', '4/4=1']
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
3,
86,
88,
98
] | 84 | [
"98-86=12",
"12/3=4",
"88-4=84"
] | Current State: 84:[3, 86, 88, 98], Operations: []
Exploring Operation: 98-86=12, Resulting Numbers: [3, 88, 12]
Generated Node #2: [3, 88, 12] from Operation: 98-86=12
Current State: 84:[3, 88, 12], Operations: ['98-86=12']
Exploring Operation: 12/3=4, Resulting Numbers: [88, 4]
Generated Node #3: [88, 4] from Operation: 12/3=4
Current State: 84:[88, 4], Operations: ['98-86=12', '12/3=4']
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
75,
50,
38,
45
] | 68 | [
"50*45=2250",
"2250/75=30",
"38+30=68"
] | Current State: 68:[75, 50, 38, 45], Operations: []
Exploring Operation: 50*45=2250, Resulting Numbers: [75, 38, 2250]
Generated Node #2: [75, 38, 2250] from Operation: 50*45=2250
Current State: 68:[75, 38, 2250], Operations: ['50*45=2250']
Exploring Operation: 2250/75=30, Resulting Numbers: [38, 30]
Generated Node #3: [38, 30] from Operation: 2250/75=30
Current State: 68:[38, 30], Operations: ['50*45=2250', '2250/75=30']
Exploring Operation: 38+30=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
34,
43,
19,
6
] | 60 | [
"43-34=9",
"19-9=10",
"6*10=60"
] | Current State: 60:[34, 43, 19, 6], Operations: []
Exploring Operation: 43-34=9, Resulting Numbers: [19, 6, 9]
Generated Node #2: [19, 6, 9] from Operation: 43-34=9
Current State: 60:[19, 6, 9], Operations: ['43-34=9']
Exploring Operation: 19-9=10, Resulting Numbers: [6, 10]
Generated Node #3: [6, 10] from Operation: 19-9=10
Current State: 60:[6, 10], Operations: ['43-34=9', '19-9=10']
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
87,
26,
69,
88
] | 42 | [
"87-26=61",
"88-69=19",
"61-19=42"
] | Current State: 42:[87, 26, 69, 88], Operations: []
Exploring Operation: 87-26=61, Resulting Numbers: [69, 88, 61]
Generated Node #2: [69, 88, 61] from Operation: 87-26=61
Current State: 42:[69, 88, 61], Operations: ['87-26=61']
Exploring Operation: 88-69=19, Resulting Numbers: [61, 19]
Generated Node #3: [61, 19] from Operation: 88-69=19
Current State: 42:[61, 19], Operations: ['87-26=61', '88-69=19']
Exploring Operation: 61-19=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
29,
57,
1,
13
] | 100 | [
"29+57=86",
"1+13=14",
"86+14=100"
] | Current State: 100:[29, 57, 1, 13], Operations: []
Exploring Operation: 29+57=86, Resulting Numbers: [1, 13, 86]
Generated Node #2: [1, 13, 86] from Operation: 29+57=86
Current State: 100:[1, 13, 86], Operations: ['29+57=86']
Exploring Operation: 1+13=14, Resulting Numbers: [86, 14]
Generated Node #3: [86, 14] from Operation: 1+13=14
Current State: 100:[86, 14], Operations: ['29+57=86', '1+13=14']
Exploring Operation: 86+14=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
31,
95,
38,
2
] | 41 | [
"95-2=93",
"93/31=3",
"38+3=41"
] | Current State: 41:[31, 95, 38, 2], Operations: []
Exploring Operation: 95-2=93, Resulting Numbers: [31, 38, 93]
Generated Node #2: [31, 38, 93] from Operation: 95-2=93
Current State: 41:[31, 38, 93], Operations: ['95-2=93']
Exploring Operation: 93/31=3, Resulting Numbers: [38, 3]
Generated Node #3: [38, 3] from Operation: 93/31=3
Current State: 41:[38, 3], Operations: ['95-2=93', '93/31=3']
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
56,
82,
63,
18
] | 55 | [
"82-56=26",
"63+18=81",
"81-26=55"
] | Current State: 55:[56, 82, 63, 18], Operations: []
Exploring Operation: 82-56=26, Resulting Numbers: [63, 18, 26]
Generated Node #2: [63, 18, 26] from Operation: 82-56=26
Current State: 55:[63, 18, 26], Operations: ['82-56=26']
Exploring Operation: 63+18=81, Resulting Numbers: [26, 81]
Generated Node #3: [26, 81] from Operation: 63+18=81
Current State: 55:[26, 81], Operations: ['82-56=26', '63+18=81']
Exploring Operation: 81-26=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
39,
73,
70,
15
] | 34 | [
"73-70=3",
"15/3=5",
"39-5=34"
] | Current State: 34:[39, 73, 70, 15], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [39, 15, 3]
Generated Node #2: [39, 15, 3] from Operation: 73-70=3
Current State: 34:[39, 15, 3], Operations: ['73-70=3']
Exploring Operation: 15/3=5, Resulting Numbers: [39, 5]
Generated Node #3: [39, 5] from Operation: 15/3=5
Current State: 34:[39, 5], Operations: ['73-70=3', '15/3=5']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
23,
70,
5,
3
] | 18 | [
"23+70=93",
"93-3=90",
"90/5=18"
] | Current State: 18:[23, 70, 5, 3], Operations: []
Exploring Operation: 23+70=93, Resulting Numbers: [5, 3, 93]
Generated Node #2: [5, 3, 93] from Operation: 23+70=93
Current State: 18:[5, 3, 93], Operations: ['23+70=93']
Exploring Operation: 93-3=90, Resulting Numbers: [5, 90]
Generated Node #3: [5, 90] from Operation: 93-3=90
Current State: 18:[5, 90], Operations: ['23+70=93', '93-3=90']
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
3,
24,
6,
52
] | 38 | [
"24/3=8",
"52-6=46",
"46-8=38"
] | Current State: 38:[3, 24, 6, 52], Operations: []
Exploring Operation: 24/3=8, Resulting Numbers: [6, 52, 8]
Generated Node #2: [6, 52, 8] from Operation: 24/3=8
Current State: 38:[6, 52, 8], Operations: ['24/3=8']
Exploring Operation: 52-6=46, Resulting Numbers: [8, 46]
Generated Node #3: [8, 46] from Operation: 52-6=46
Current State: 38:[8, 46], Operations: ['24/3=8', '52-6=46']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
35,
63,
9,
5
] | 32 | [
"63-35=28",
"9-5=4",
"28+4=32"
] | Current State: 32:[35, 63, 9, 5], Operations: []
Exploring Operation: 63-35=28, Resulting Numbers: [9, 5, 28]
Generated Node #2: [9, 5, 28] from Operation: 63-35=28
Current State: 32:[9, 5, 28], Operations: ['63-35=28']
Exploring Operation: 9-5=4, Resulting Numbers: [28, 4]
Generated Node #3: [28, 4] from Operation: 9-5=4
Current State: 32:[28, 4], Operations: ['63-35=28', '9-5=4']
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
51,
17,
27,
20
] | 11 | [
"51/17=3",
"27/3=9",
"20-9=11"
] | Current State: 11:[51, 17, 27, 20], Operations: []
Exploring Operation: 51/17=3, Resulting Numbers: [27, 20, 3]
Generated Node #2: [27, 20, 3] from Operation: 51/17=3
Current State: 11:[27, 20, 3], Operations: ['51/17=3']
Exploring Operation: 27/3=9, Resulting Numbers: [20, 9]
Generated Node #3: [20, 9] from Operation: 27/3=9
Current State: 11:[20, 9], Operations: ['51/17=3', '27/3=9']
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
39,
33,
2,
5
] | 84 | [
"5-2=3",
"39*3=117",
"117-33=84"
] | Current State: 84:[39, 33, 2, 5], Operations: []
Exploring Operation: 5-2=3, Resulting Numbers: [39, 33, 3]
Generated Node #2: [39, 33, 3] from Operation: 5-2=3
Current State: 84:[39, 33, 3], Operations: ['5-2=3']
Exploring Operation: 39*3=117, Resulting Numbers: [33, 117]
Generated Node #3: [33, 117] from Operation: 39*3=117
Current State: 84:[33, 117], Operations: ['5-2=3', '39*3=117']
Exploring Operation: 117-33=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
23,
37,
41,
36
] | 35 | [
"41-23=18",
"36/18=2",
"37-2=35"
] | Current State: 35:[23, 37, 41, 36], Operations: []
Exploring Operation: 41-23=18, Resulting Numbers: [37, 36, 18]
Generated Node #2: [37, 36, 18] from Operation: 41-23=18
Current State: 35:[37, 36, 18], Operations: ['41-23=18']
Exploring Operation: 36/18=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 36/18=2
Current State: 35:[37, 2], Operations: ['41-23=18', '36/18=2']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
72,
86,
95,
36
] | 11 | [
"72/36=2",
"95-86=9",
"2+9=11"
] | Current State: 11:[72, 86, 95, 36], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [86, 95, 2]
Generated Node #2: [86, 95, 2] from Operation: 72/36=2
Current State: 11:[86, 95, 2], Operations: ['72/36=2']
Exploring Operation: 95-86=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 95-86=9
Current State: 11:[2, 9], Operations: ['72/36=2', '95-86=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
51,
12,
77,
36
] | 80 | [
"51-12=39",
"77-36=41",
"39+41=80"
] | Current State: 80:[51, 12, 77, 36], Operations: []
Exploring Operation: 51-12=39, Resulting Numbers: [77, 36, 39]
Generated Node #2: [77, 36, 39] from Operation: 51-12=39
Current State: 80:[77, 36, 39], Operations: ['51-12=39']
Exploring Operation: 77-36=41, Resulting Numbers: [39, 41]
Generated Node #3: [39, 41] from Operation: 77-36=41
Current State: 80:[39, 41], Operations: ['51-12=39', '77-36=41']
Exploring Operation: 39+41=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
61,
38,
34,
56
] | 45 | [
"61-38=23",
"56-34=22",
"23+22=45"
] | Current State: 45:[61, 38, 34, 56], Operations: []
Exploring Operation: 61-38=23, Resulting Numbers: [34, 56, 23]
Generated Node #2: [34, 56, 23] from Operation: 61-38=23
Current State: 45:[34, 56, 23], Operations: ['61-38=23']
Exploring Operation: 56-34=22, Resulting Numbers: [23, 22]
Generated Node #3: [23, 22] from Operation: 56-34=22
Current State: 45:[23, 22], Operations: ['61-38=23', '56-34=22']
Exploring Operation: 23+22=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
33,
82,
14,
6
] | 35 | [
"82-33=49",
"14*6=84",
"84-49=35"
] | Current State: 35:[33, 82, 14, 6], Operations: []
Exploring Operation: 82-33=49, Resulting Numbers: [14, 6, 49]
Generated Node #2: [14, 6, 49] from Operation: 82-33=49
Current State: 35:[14, 6, 49], Operations: ['82-33=49']
Exploring Operation: 14*6=84, Resulting Numbers: [49, 84]
Generated Node #3: [49, 84] from Operation: 14*6=84
Current State: 35:[49, 84], Operations: ['82-33=49', '14*6=84']
Exploring Operation: 84-49=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
97,
40,
13,
19
] | 63 | [
"97-40=57",
"19-13=6",
"57+6=63"
] | Current State: 63:[97, 40, 13, 19], Operations: []
Exploring Operation: 97-40=57, Resulting Numbers: [13, 19, 57]
Generated Node #2: [13, 19, 57] from Operation: 97-40=57
Current State: 63:[13, 19, 57], Operations: ['97-40=57']
Exploring Operation: 19-13=6, Resulting Numbers: [57, 6]
Generated Node #3: [57, 6] from Operation: 19-13=6
Current State: 63:[57, 6], Operations: ['97-40=57', '19-13=6']
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
61,
57,
61,
32
] | 88 | [
"61/61=1",
"57+32=89",
"89-1=88"
] | Current State: 88:[61, 57, 61, 32], Operations: []
Exploring Operation: 61/61=1, Resulting Numbers: [57, 32, 1]
Generated Node #2: [57, 32, 1] from Operation: 61/61=1
Current State: 88:[57, 32, 1], Operations: ['61/61=1']
Exploring Operation: 57+32=89, Resulting Numbers: [1, 89]
Generated Node #3: [1, 89] from Operation: 57+32=89
Current State: 88:[1, 89], Operations: ['61/61=1', '57+32=89']
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
53,
56,
14,
30
] | 72 | [
"56-53=3",
"14*3=42",
"30+42=72"
] | Current State: 72:[53, 56, 14, 30], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [14, 30, 3]
Generated Node #2: [14, 30, 3] from Operation: 56-53=3
Current State: 72:[14, 30, 3], Operations: ['56-53=3']
Exploring Operation: 14*3=42, Resulting Numbers: [30, 42]
Generated Node #3: [30, 42] from Operation: 14*3=42
Current State: 72:[30, 42], Operations: ['56-53=3', '14*3=42']
Exploring Operation: 30+42=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
3,
10,
82,
90
] | 50 | [
"3+82=85",
"90-85=5",
"10*5=50"
] | Current State: 50:[3, 10, 82, 90], Operations: []
Exploring Operation: 3+82=85, Resulting Numbers: [10, 90, 85]
Generated Node #2: [10, 90, 85] from Operation: 3+82=85
Current State: 50:[10, 90, 85], Operations: ['3+82=85']
Exploring Operation: 90-85=5, Resulting Numbers: [10, 5]
Generated Node #3: [10, 5] from Operation: 90-85=5
Current State: 50:[10, 5], Operations: ['3+82=85', '90-85=5']
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
8,
11,
41,
72
] | 58 | [
"72/8=9",
"11*9=99",
"99-41=58"
] | Current State: 58:[8, 11, 41, 72], Operations: []
Exploring Operation: 72/8=9, Resulting Numbers: [11, 41, 9]
Generated Node #2: [11, 41, 9] from Operation: 72/8=9
Current State: 58:[11, 41, 9], Operations: ['72/8=9']
Exploring Operation: 11*9=99, Resulting Numbers: [41, 99]
Generated Node #3: [41, 99] from Operation: 11*9=99
Current State: 58:[41, 99], Operations: ['72/8=9', '11*9=99']
Exploring Operation: 99-41=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
80,
82,
45,
1
] | 88 | [
"82-80=2",
"45-1=44",
"2*44=88"
] | Current State: 88:[80, 82, 45, 1], Operations: []
Exploring Operation: 82-80=2, Resulting Numbers: [45, 1, 2]
Generated Node #2: [45, 1, 2] from Operation: 82-80=2
Current State: 88:[45, 1, 2], Operations: ['82-80=2']
Exploring Operation: 45-1=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 45-1=44
Current State: 88:[2, 44], Operations: ['82-80=2', '45-1=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
11,
96,
10,
92
] | 66 | [
"96-10=86",
"92-86=6",
"11*6=66"
] | Current State: 66:[11, 96, 10, 92], Operations: []
Exploring Operation: 96-10=86, Resulting Numbers: [11, 92, 86]
Generated Node #2: [11, 92, 86] from Operation: 96-10=86
Current State: 66:[11, 92, 86], Operations: ['96-10=86']
Exploring Operation: 92-86=6, Resulting Numbers: [11, 6]
Generated Node #3: [11, 6] from Operation: 92-86=6
Current State: 66:[11, 6], Operations: ['96-10=86', '92-86=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
95,
21,
3,
3
] | 89 | [
"21-3=18",
"18/3=6",
"95-6=89"
] | Current State: 89:[95, 21, 3, 3], Operations: []
Exploring Operation: 21-3=18, Resulting Numbers: [95, 18]
Generated Node #2: [95, 18] from Operation: 21-3=18
Current State: 89:[95, 18], Operations: ['21-3=18']
Exploring Operation: 18/3=6, Resulting Numbers: [95, 6]
Generated Node #3: [95, 6] from Operation: 18/3=6
Current State: 89:[95, 6], Operations: ['21-3=18', '18/3=6']
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
87,
19,
5,
62
] | 14 | [
"87-62=25",
"25/5=5",
"19-5=14"
] | Current State: 14:[87, 19, 5, 62], Operations: []
Exploring Operation: 87-62=25, Resulting Numbers: [19, 5, 25]
Generated Node #2: [19, 5, 25] from Operation: 87-62=25
Current State: 14:[19, 5, 25], Operations: ['87-62=25']
Exploring Operation: 25/5=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 25/5=5
Current State: 14:[19, 5], Operations: ['87-62=25', '25/5=5']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
23,
78,
32,
15
] | 54 | [
"23+78=101",
"32+15=47",
"101-47=54"
] | Current State: 54:[23, 78, 32, 15], Operations: []
Exploring Operation: 23+78=101, Resulting Numbers: [32, 15, 101]
Generated Node #2: [32, 15, 101] from Operation: 23+78=101
Current State: 54:[32, 15, 101], Operations: ['23+78=101']
Exploring Operation: 32+15=47, Resulting Numbers: [101, 47]
Generated Node #3: [101, 47] from Operation: 32+15=47
Current State: 54:[101, 47], Operations: ['23+78=101', '32+15=47']
Exploring Operation: 101-47=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
71,
31,
3,
65
] | 87 | [
"71-65=6",
"31*3=93",
"93-6=87"
] | Current State: 87:[71, 31, 3, 65], Operations: []
Exploring Operation: 71-65=6, Resulting Numbers: [31, 3, 6]
Generated Node #2: [31, 3, 6] from Operation: 71-65=6
Current State: 87:[31, 3, 6], Operations: ['71-65=6']
Exploring Operation: 31*3=93, Resulting Numbers: [6, 93]
Generated Node #3: [6, 93] from Operation: 31*3=93
Current State: 87:[6, 93], Operations: ['71-65=6', '31*3=93']
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
67,
98,
83,
49
] | 99 | [
"98*83=8134",
"8134/49=166",
"166-67=99"
] | Current State: 99:[67, 98, 83, 49], Operations: []
Exploring Operation: 98*83=8134, Resulting Numbers: [67, 49, 8134]
Generated Node #2: [67, 49, 8134] from Operation: 98*83=8134
Current State: 99:[67, 49, 8134], Operations: ['98*83=8134']
Exploring Operation: 8134/49=166, Resulting Numbers: [67, 166]
Generated Node #3: [67, 166] from Operation: 8134/49=166
Current State: 99:[67, 166], Operations: ['98*83=8134', '8134/49=166']
Exploring Operation: 166-67=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
80,
77,
81,
4
] | 21 | [
"80-77=3",
"81+3=84",
"84/4=21"
] | Current State: 21:[80, 77, 81, 4], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [81, 4, 3]
Generated Node #2: [81, 4, 3] from Operation: 80-77=3
Current State: 21:[81, 4, 3], Operations: ['80-77=3']
Exploring Operation: 81+3=84, Resulting Numbers: [4, 84]
Generated Node #3: [4, 84] from Operation: 81+3=84
Current State: 21:[4, 84], Operations: ['80-77=3', '81+3=84']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
21,
19,
7,
34
] | 43 | [
"21-19=2",
"7+34=41",
"2+41=43"
] | Current State: 43:[21, 19, 7, 34], Operations: []
Exploring Operation: 21-19=2, Resulting Numbers: [7, 34, 2]
Generated Node #2: [7, 34, 2] from Operation: 21-19=2
Current State: 43:[7, 34, 2], Operations: ['21-19=2']
Exploring Operation: 7+34=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 7+34=41
Current State: 43:[2, 41], Operations: ['21-19=2', '7+34=41']
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
38,
13,
39,
25
] | 37 | [
"38+13=51",
"39-25=14",
"51-14=37"
] | Current State: 37:[38, 13, 39, 25], Operations: []
Exploring Operation: 38+13=51, Resulting Numbers: [39, 25, 51]
Generated Node #2: [39, 25, 51] from Operation: 38+13=51
Current State: 37:[39, 25, 51], Operations: ['38+13=51']
Exploring Operation: 39-25=14, Resulting Numbers: [51, 14]
Generated Node #3: [51, 14] from Operation: 39-25=14
Current State: 37:[51, 14], Operations: ['38+13=51', '39-25=14']
Exploring Operation: 51-14=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
58,
13,
63,
49
] | 85 | [
"58+13=71",
"63-49=14",
"71+14=85"
] | Current State: 85:[58, 13, 63, 49], Operations: []
Exploring Operation: 58+13=71, Resulting Numbers: [63, 49, 71]
Generated Node #2: [63, 49, 71] from Operation: 58+13=71
Current State: 85:[63, 49, 71], Operations: ['58+13=71']
Exploring Operation: 63-49=14, Resulting Numbers: [71, 14]
Generated Node #3: [71, 14] from Operation: 63-49=14
Current State: 85:[71, 14], Operations: ['58+13=71', '63-49=14']
Exploring Operation: 71+14=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
11,
88,
58,
23
] | 27 | [
"88/11=8",
"58-23=35",
"35-8=27"
] | Current State: 27:[11, 88, 58, 23], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [58, 23, 8]
Generated Node #2: [58, 23, 8] from Operation: 88/11=8
Current State: 27:[58, 23, 8], Operations: ['88/11=8']
Exploring Operation: 58-23=35, Resulting Numbers: [8, 35]
Generated Node #3: [8, 35] from Operation: 58-23=35
Current State: 27:[8, 35], Operations: ['88/11=8', '58-23=35']
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
20,
4,
8,
67
] | 61 | [
"20-4=16",
"8*16=128",
"128-67=61"
] | Current State: 61:[20, 4, 8, 67], Operations: []
Exploring Operation: 20-4=16, Resulting Numbers: [8, 67, 16]
Generated Node #2: [8, 67, 16] from Operation: 20-4=16
Current State: 61:[8, 67, 16], Operations: ['20-4=16']
Exploring Operation: 8*16=128, Resulting Numbers: [67, 128]
Generated Node #3: [67, 128] from Operation: 8*16=128
Current State: 61:[67, 128], Operations: ['20-4=16', '8*16=128']
Exploring Operation: 128-67=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
22,
2,
18,
67
] | 73 | [
"22+2=24",
"67-18=49",
"24+49=73"
] | Current State: 73:[22, 2, 18, 67], Operations: []
Exploring Operation: 22+2=24, Resulting Numbers: [18, 67, 24]
Generated Node #2: [18, 67, 24] from Operation: 22+2=24
Current State: 73:[18, 67, 24], Operations: ['22+2=24']
Exploring Operation: 67-18=49, Resulting Numbers: [24, 49]
Generated Node #3: [24, 49] from Operation: 67-18=49
Current State: 73:[24, 49], Operations: ['22+2=24', '67-18=49']
Exploring Operation: 24+49=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
91,
89,
68,
93
] | 66 | [
"89+93=182",
"182/91=2",
"68-2=66"
] | Current State: 66:[91, 89, 68, 93], Operations: []
Exploring Operation: 89+93=182, Resulting Numbers: [91, 68, 182]
Generated Node #2: [91, 68, 182] from Operation: 89+93=182
Current State: 66:[91, 68, 182], Operations: ['89+93=182']
Exploring Operation: 182/91=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 182/91=2
Current State: 66:[68, 2], Operations: ['89+93=182', '182/91=2']
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
38,
39,
39,
78
] | 40 | [
"38+39=77",
"39+78=117",
"117-77=40"
] | Current State: 40:[38, 39, 39, 78], Operations: []
Exploring Operation: 38+39=77, Resulting Numbers: [78, 77]
Generated Node #2: [78, 77] from Operation: 38+39=77
Current State: 40:[78, 77], Operations: ['38+39=77']
Exploring Operation: 39+78=117, Resulting Numbers: [77, 117]
Generated Node #3: [77, 117] from Operation: 39+78=117
Current State: 40:[77, 117], Operations: ['38+39=77', '39+78=117']
Exploring Operation: 117-77=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
52,
78,
54,
54
] | 26 | [
"78-52=26",
"54-54=0",
"26+0=26"
] | Current State: 26:[52, 78, 54, 54], Operations: []
Exploring Operation: 78-52=26, Resulting Numbers: [54, 54, 26]
Generated Node #2: [54, 54, 26] from Operation: 78-52=26
Current State: 26:[54, 54, 26], Operations: ['78-52=26']
Exploring Operation: 54-54=0, Resulting Numbers: [26, 0]
Generated Node #3: [26, 0] from Operation: 54-54=0
Current State: 26:[26, 0], Operations: ['78-52=26', '54-54=0']
Exploring Operation: 26+0=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
50,
40,
60,
97
] | 22 | [
"50*60=3000",
"3000/40=75",
"97-75=22"
] | Current State: 22:[50, 40, 60, 97], Operations: []
Exploring Operation: 50*60=3000, Resulting Numbers: [40, 97, 3000]
Generated Node #2: [40, 97, 3000] from Operation: 50*60=3000
Current State: 22:[40, 97, 3000], Operations: ['50*60=3000']
Exploring Operation: 3000/40=75, Resulting Numbers: [97, 75]
Generated Node #3: [97, 75] from Operation: 3000/40=75
Current State: 22:[97, 75], Operations: ['50*60=3000', '3000/40=75']
Exploring Operation: 97-75=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
13,
18,
23,
91
] | 73 | [
"18-13=5",
"91-23=68",
"5+68=73"
] | Current State: 73:[13, 18, 23, 91], Operations: []
Exploring Operation: 18-13=5, Resulting Numbers: [23, 91, 5]
Generated Node #2: [23, 91, 5] from Operation: 18-13=5
Current State: 73:[23, 91, 5], Operations: ['18-13=5']
Exploring Operation: 91-23=68, Resulting Numbers: [5, 68]
Generated Node #3: [5, 68] from Operation: 91-23=68
Current State: 73:[5, 68], Operations: ['18-13=5', '91-23=68']
Exploring Operation: 5+68=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
34,
32,
77,
30
] | 49 | [
"34-32=2",
"77-30=47",
"2+47=49"
] | Current State: 49:[34, 32, 77, 30], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [77, 30, 2]
Generated Node #2: [77, 30, 2] from Operation: 34-32=2
Current State: 49:[77, 30, 2], Operations: ['34-32=2']
Exploring Operation: 77-30=47, Resulting Numbers: [2, 47]
Generated Node #3: [2, 47] from Operation: 77-30=47
Current State: 49:[2, 47], Operations: ['34-32=2', '77-30=47']
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
92,
20,
97,
13
] | 71 | [
"92+97=189",
"20*13=260",
"260-189=71"
] | Current State: 71:[92, 20, 97, 13], Operations: []
Exploring Operation: 92+97=189, Resulting Numbers: [20, 13, 189]
Generated Node #2: [20, 13, 189] from Operation: 92+97=189
Current State: 71:[20, 13, 189], Operations: ['92+97=189']
Exploring Operation: 20*13=260, Resulting Numbers: [189, 260]
Generated Node #3: [189, 260] from Operation: 20*13=260
Current State: 71:[189, 260], Operations: ['92+97=189', '20*13=260']
Exploring Operation: 260-189=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
57,
45,
28,
67
] | 75 | [
"28+67=95",
"45*95=4275",
"4275/57=75"
] | Current State: 75:[57, 45, 28, 67], Operations: []
Exploring Operation: 28+67=95, Resulting Numbers: [57, 45, 95]
Generated Node #2: [57, 45, 95] from Operation: 28+67=95
Current State: 75:[57, 45, 95], Operations: ['28+67=95']
Exploring Operation: 45*95=4275, Resulting Numbers: [57, 4275]
Generated Node #3: [57, 4275] from Operation: 45*95=4275
Current State: 75:[57, 4275], Operations: ['28+67=95', '45*95=4275']
Exploring Operation: 4275/57=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
7,
21,
68,
94
] | 54 | [
"7+21=28",
"94-68=26",
"28+26=54"
] | Current State: 54:[7, 21, 68, 94], Operations: []
Exploring Operation: 7+21=28, Resulting Numbers: [68, 94, 28]
Generated Node #2: [68, 94, 28] from Operation: 7+21=28
Current State: 54:[68, 94, 28], Operations: ['7+21=28']
Exploring Operation: 94-68=26, Resulting Numbers: [28, 26]
Generated Node #3: [28, 26] from Operation: 94-68=26
Current State: 54:[28, 26], Operations: ['7+21=28', '94-68=26']
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
55,
94,
43,
40
] | 36 | [
"94-55=39",
"43-40=3",
"39-3=36"
] | Current State: 36:[55, 94, 43, 40], Operations: []
Exploring Operation: 94-55=39, Resulting Numbers: [43, 40, 39]
Generated Node #2: [43, 40, 39] from Operation: 94-55=39
Current State: 36:[43, 40, 39], Operations: ['94-55=39']
Exploring Operation: 43-40=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 43-40=3
Current State: 36:[39, 3], Operations: ['94-55=39', '43-40=3']
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
24,
45,
18,
4
] | 91 | [
"24+45=69",
"18+4=22",
"69+22=91"
] | Current State: 91:[24, 45, 18, 4], Operations: []
Exploring Operation: 24+45=69, Resulting Numbers: [18, 4, 69]
Generated Node #2: [18, 4, 69] from Operation: 24+45=69
Current State: 91:[18, 4, 69], Operations: ['24+45=69']
Exploring Operation: 18+4=22, Resulting Numbers: [69, 22]
Generated Node #3: [69, 22] from Operation: 18+4=22
Current State: 91:[69, 22], Operations: ['24+45=69', '18+4=22']
Exploring Operation: 69+22=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
6,
69,
53,
65
] | 55 | [
"69-6=63",
"53+65=118",
"118-63=55"
] | Current State: 55:[6, 69, 53, 65], Operations: []
Exploring Operation: 69-6=63, Resulting Numbers: [53, 65, 63]
Generated Node #2: [53, 65, 63] from Operation: 69-6=63
Current State: 55:[53, 65, 63], Operations: ['69-6=63']
Exploring Operation: 53+65=118, Resulting Numbers: [63, 118]
Generated Node #3: [63, 118] from Operation: 53+65=118
Current State: 55:[63, 118], Operations: ['69-6=63', '53+65=118']
Exploring Operation: 118-63=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
45,
79,
49,
72
] | 61 | [
"49-45=4",
"72/4=18",
"79-18=61"
] | Current State: 61:[45, 79, 49, 72], Operations: []
Exploring Operation: 49-45=4, Resulting Numbers: [79, 72, 4]
Generated Node #2: [79, 72, 4] from Operation: 49-45=4
Current State: 61:[79, 72, 4], Operations: ['49-45=4']
Exploring Operation: 72/4=18, Resulting Numbers: [79, 18]
Generated Node #3: [79, 18] from Operation: 72/4=18
Current State: 61:[79, 18], Operations: ['49-45=4', '72/4=18']
Exploring Operation: 79-18=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
13,
18,
23,
70
] | 62 | [
"13+18=31",
"23+70=93",
"93-31=62"
] | Current State: 62:[13, 18, 23, 70], Operations: []
Exploring Operation: 13+18=31, Resulting Numbers: [23, 70, 31]
Generated Node #2: [23, 70, 31] from Operation: 13+18=31
Current State: 62:[23, 70, 31], Operations: ['13+18=31']
Exploring Operation: 23+70=93, Resulting Numbers: [31, 93]
Generated Node #3: [31, 93] from Operation: 23+70=93
Current State: 62:[31, 93], Operations: ['13+18=31', '23+70=93']
Exploring Operation: 93-31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
80,
31,
24,
2
] | 33 | [
"80/2=40",
"31-24=7",
"40-7=33"
] | Current State: 33:[80, 31, 24, 2], Operations: []
Exploring Operation: 80/2=40, Resulting Numbers: [31, 24, 40]
Generated Node #2: [31, 24, 40] from Operation: 80/2=40
Current State: 33:[31, 24, 40], Operations: ['80/2=40']
Exploring Operation: 31-24=7, Resulting Numbers: [40, 7]
Generated Node #3: [40, 7] from Operation: 31-24=7
Current State: 33:[40, 7], Operations: ['80/2=40', '31-24=7']
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
13,
53,
8,
28
] | 79 | [
"13*8=104",
"53-28=25",
"104-25=79"
] | Current State: 79:[13, 53, 8, 28], Operations: []
Exploring Operation: 13*8=104, Resulting Numbers: [53, 28, 104]
Generated Node #2: [53, 28, 104] from Operation: 13*8=104
Current State: 79:[53, 28, 104], Operations: ['13*8=104']
Exploring Operation: 53-28=25, Resulting Numbers: [104, 25]
Generated Node #3: [104, 25] from Operation: 53-28=25
Current State: 79:[104, 25], Operations: ['13*8=104', '53-28=25']
Exploring Operation: 104-25=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
82,
25,
23,
13
] | 21 | [
"82-25=57",
"23+13=36",
"57-36=21"
] | Current State: 21:[82, 25, 23, 13], Operations: []
Exploring Operation: 82-25=57, Resulting Numbers: [23, 13, 57]
Generated Node #2: [23, 13, 57] from Operation: 82-25=57
Current State: 21:[23, 13, 57], Operations: ['82-25=57']
Exploring Operation: 23+13=36, Resulting Numbers: [57, 36]
Generated Node #3: [57, 36] from Operation: 23+13=36
Current State: 21:[57, 36], Operations: ['82-25=57', '23+13=36']
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
48,
88,
53,
50
] | 78 | [
"53-48=5",
"50/5=10",
"88-10=78"
] | Current State: 78:[48, 88, 53, 50], Operations: []
Exploring Operation: 53-48=5, Resulting Numbers: [88, 50, 5]
Generated Node #2: [88, 50, 5] from Operation: 53-48=5
Current State: 78:[88, 50, 5], Operations: ['53-48=5']
Exploring Operation: 50/5=10, Resulting Numbers: [88, 10]
Generated Node #3: [88, 10] from Operation: 50/5=10
Current State: 78:[88, 10], Operations: ['53-48=5', '50/5=10']
Exploring Operation: 88-10=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
10,
16,
26,
5
] | 27 | [
"16-10=6",
"26-5=21",
"6+21=27"
] | Current State: 27:[10, 16, 26, 5], Operations: []
Exploring Operation: 16-10=6, Resulting Numbers: [26, 5, 6]
Generated Node #2: [26, 5, 6] from Operation: 16-10=6
Current State: 27:[26, 5, 6], Operations: ['16-10=6']
Exploring Operation: 26-5=21, Resulting Numbers: [6, 21]
Generated Node #3: [6, 21] from Operation: 26-5=21
Current State: 27:[6, 21], Operations: ['16-10=6', '26-5=21']
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
32,
10,
67,
72
] | 37 | [
"32+10=42",
"72-67=5",
"42-5=37"
] | Current State: 37:[32, 10, 67, 72], Operations: []
Exploring Operation: 32+10=42, Resulting Numbers: [67, 72, 42]
Generated Node #2: [67, 72, 42] from Operation: 32+10=42
Current State: 37:[67, 72, 42], Operations: ['32+10=42']
Exploring Operation: 72-67=5, Resulting Numbers: [42, 5]
Generated Node #3: [42, 5] from Operation: 72-67=5
Current State: 37:[42, 5], Operations: ['32+10=42', '72-67=5']
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
66,
77,
48,
96
] | 37 | [
"77-66=11",
"96-48=48",
"48-11=37"
] | Current State: 37:[66, 77, 48, 96], Operations: []
Exploring Operation: 77-66=11, Resulting Numbers: [48, 96, 11]
Generated Node #2: [48, 96, 11] from Operation: 77-66=11
Current State: 37:[48, 96, 11], Operations: ['77-66=11']
Exploring Operation: 96-48=48, Resulting Numbers: [11, 48]
Generated Node #3: [11, 48] from Operation: 96-48=48
Current State: 37:[11, 48], Operations: ['77-66=11', '96-48=48']
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
44,
76,
74,
80
] | 20 | [
"44+76=120",
"80-74=6",
"120/6=20"
] | Current State: 20:[44, 76, 74, 80], Operations: []
Exploring Operation: 44+76=120, Resulting Numbers: [74, 80, 120]
Generated Node #2: [74, 80, 120] from Operation: 44+76=120
Current State: 20:[74, 80, 120], Operations: ['44+76=120']
Exploring Operation: 80-74=6, Resulting Numbers: [120, 6]
Generated Node #3: [120, 6] from Operation: 80-74=6
Current State: 20:[120, 6], Operations: ['44+76=120', '80-74=6']
Exploring Operation: 120/6=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
10,
14,
28,
23
] | 35 | [
"10+23=33",
"28/14=2",
"33+2=35"
] | Current State: 35:[10, 14, 28, 23], Operations: []
Exploring Operation: 10+23=33, Resulting Numbers: [14, 28, 33]
Generated Node #2: [14, 28, 33] from Operation: 10+23=33
Current State: 35:[14, 28, 33], Operations: ['10+23=33']
Exploring Operation: 28/14=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 28/14=2
Current State: 35:[33, 2], Operations: ['10+23=33', '28/14=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
19,
67,
56,
42
] | 50 | [
"67-19=48",
"56+42=98",
"98-48=50"
] | Current State: 50:[19, 67, 56, 42], Operations: []
Exploring Operation: 67-19=48, Resulting Numbers: [56, 42, 48]
Generated Node #2: [56, 42, 48] from Operation: 67-19=48
Current State: 50:[56, 42, 48], Operations: ['67-19=48']
Exploring Operation: 56+42=98, Resulting Numbers: [48, 98]
Generated Node #3: [48, 98] from Operation: 56+42=98
Current State: 50:[48, 98], Operations: ['67-19=48', '56+42=98']
Exploring Operation: 98-48=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
53,
35,
44,
2
] | 42 | [
"53+35=88",
"44+2=46",
"88-46=42"
] | Current State: 42:[53, 35, 44, 2], Operations: []
Exploring Operation: 53+35=88, Resulting Numbers: [44, 2, 88]
Generated Node #2: [44, 2, 88] from Operation: 53+35=88
Current State: 42:[44, 2, 88], Operations: ['53+35=88']
Exploring Operation: 44+2=46, Resulting Numbers: [88, 46]
Generated Node #3: [88, 46] from Operation: 44+2=46
Current State: 42:[88, 46], Operations: ['53+35=88', '44+2=46']
Exploring Operation: 88-46=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
16,
13,
30,
14
] | 28 | [
"16-14=2",
"30/2=15",
"13+15=28"
] | Current State: 28:[16, 13, 30, 14], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [13, 30, 2]
Generated Node #2: [13, 30, 2] from Operation: 16-14=2
Current State: 28:[13, 30, 2], Operations: ['16-14=2']
Exploring Operation: 30/2=15, Resulting Numbers: [13, 15]
Generated Node #3: [13, 15] from Operation: 30/2=15
Current State: 28:[13, 15], Operations: ['16-14=2', '30/2=15']
Exploring Operation: 13+15=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
45,
13,
48,
60
] | 99 | [
"48-45=3",
"13*3=39",
"60+39=99"
] | Current State: 99:[45, 13, 48, 60], Operations: []
Exploring Operation: 48-45=3, Resulting Numbers: [13, 60, 3]
Generated Node #2: [13, 60, 3] from Operation: 48-45=3
Current State: 99:[13, 60, 3], Operations: ['48-45=3']
Exploring Operation: 13*3=39, Resulting Numbers: [60, 39]
Generated Node #3: [60, 39] from Operation: 13*3=39
Current State: 99:[60, 39], Operations: ['48-45=3', '13*3=39']
Exploring Operation: 60+39=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
30,
2,
13,
82
] | 78 | [
"30+13=43",
"82-43=39",
"2*39=78"
] | Current State: 78:[30, 2, 13, 82], Operations: []
Exploring Operation: 30+13=43, Resulting Numbers: [2, 82, 43]
Generated Node #2: [2, 82, 43] from Operation: 30+13=43
Current State: 78:[2, 82, 43], Operations: ['30+13=43']
Exploring Operation: 82-43=39, Resulting Numbers: [2, 39]
Generated Node #3: [2, 39] from Operation: 82-43=39
Current State: 78:[2, 39], Operations: ['30+13=43', '82-43=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
54,
48,
31,
5
] | 66 | [
"54+48=102",
"31+5=36",
"102-36=66"
] | Current State: 66:[54, 48, 31, 5], Operations: []
Exploring Operation: 54+48=102, Resulting Numbers: [31, 5, 102]
Generated Node #2: [31, 5, 102] from Operation: 54+48=102
Current State: 66:[31, 5, 102], Operations: ['54+48=102']
Exploring Operation: 31+5=36, Resulting Numbers: [102, 36]
Generated Node #3: [102, 36] from Operation: 31+5=36
Current State: 66:[102, 36], Operations: ['54+48=102', '31+5=36']
Exploring Operation: 102-36=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
83,
74,
1,
89
] | 97 | [
"83-74=9",
"89-1=88",
"9+88=97"
] | Current State: 97:[83, 74, 1, 89], Operations: []
Exploring Operation: 83-74=9, Resulting Numbers: [1, 89, 9]
Generated Node #2: [1, 89, 9] from Operation: 83-74=9
Current State: 97:[1, 89, 9], Operations: ['83-74=9']
Exploring Operation: 89-1=88, Resulting Numbers: [9, 88]
Generated Node #3: [9, 88] from Operation: 89-1=88
Current State: 97:[9, 88], Operations: ['83-74=9', '89-1=88']
Exploring Operation: 9+88=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
7,
19,
65,
59
] | 61 | [
"65-59=6",
"7*6=42",
"19+42=61"
] | Current State: 61:[7, 19, 65, 59], Operations: []
Exploring Operation: 65-59=6, Resulting Numbers: [7, 19, 6]
Generated Node #2: [7, 19, 6] from Operation: 65-59=6
Current State: 61:[7, 19, 6], Operations: ['65-59=6']
Exploring Operation: 7*6=42, Resulting Numbers: [19, 42]
Generated Node #3: [19, 42] from Operation: 7*6=42
Current State: 61:[19, 42], Operations: ['65-59=6', '7*6=42']
Exploring Operation: 19+42=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
64,
2,
9,
35
] | 51 | [
"35-9=26",
"26/2=13",
"64-13=51"
] | Current State: 51:[64, 2, 9, 35], Operations: []
Exploring Operation: 35-9=26, Resulting Numbers: [64, 2, 26]
Generated Node #2: [64, 2, 26] from Operation: 35-9=26
Current State: 51:[64, 2, 26], Operations: ['35-9=26']
Exploring Operation: 26/2=13, Resulting Numbers: [64, 13]
Generated Node #3: [64, 13] from Operation: 26/2=13
Current State: 51:[64, 13], Operations: ['35-9=26', '26/2=13']
Exploring Operation: 64-13=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
24,
48,
48,
32
] | 30 | [
"48-24=24",
"48/24=2",
"32-2=30"
] | Current State: 30:[24, 48, 48, 32], Operations: []
Exploring Operation: 48-24=24, Resulting Numbers: [32, 24]
Generated Node #2: [32, 24] from Operation: 48-24=24
Current State: 30:[32, 24], Operations: ['48-24=24']
Exploring Operation: 48/24=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 48/24=2
Current State: 30:[32, 2], Operations: ['48-24=24', '48/24=2']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
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