nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
63,
29,
80,
7
] | 60 | [
"63+80=143",
"29*7=203",
"203-143=60"
] | Current State: 60:[63, 29, 80, 7], Operations: []
Exploring Operation: 63+80=143, Resulting Numbers: [29, 7, 143]
Generated Node #2: [29, 7, 143] from Operation: 63+80=143
Current State: 60:[29, 7, 143], Operations: ['63+80=143']
Exploring Operation: 29*7=203, Resulting Numbers: [143, 203]
Generated Node #3: [143, 203] from Operation: 29*7=203
Current State: 60:[143, 203], Operations: ['63+80=143', '29*7=203']
Exploring Operation: 203-143=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
94,
97,
63,
23
] | 83 | [
"97-94=3",
"63+23=86",
"86-3=83"
] | Current State: 83:[94, 97, 63, 23], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [63, 23, 3]
Generated Node #2: [63, 23, 3] from Operation: 97-94=3
Current State: 83:[63, 23, 3], Operations: ['97-94=3']
Exploring Operation: 63+23=86, Resulting Numbers: [3, 86]
Generated Node #3: [3, 86] from Operation: 63+23=86
Current State: 83:[3, 86], Operations: ['97-94=3', '63+23=86']
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
64,
68,
49,
51
] | 96 | [
"68-64=4",
"49+51=100",
"100-4=96"
] | Current State: 96:[64, 68, 49, 51], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [49, 51, 4]
Generated Node #2: [49, 51, 4] from Operation: 68-64=4
Current State: 96:[49, 51, 4], Operations: ['68-64=4']
Exploring Operation: 49+51=100, Resulting Numbers: [4, 100]
Generated Node #3: [4, 100] from Operation: 49+51=100
Current State: 96:[4, 100], Operations: ['68-64=4', '49+51=100']
Exploring Operation: 100-4=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
55,
74,
44,
79
] | 33 | [
"79-74=5",
"55/5=11",
"44-11=33"
] | Current State: 33:[55, 74, 44, 79], Operations: []
Exploring Operation: 79-74=5, Resulting Numbers: [55, 44, 5]
Generated Node #2: [55, 44, 5] from Operation: 79-74=5
Current State: 33:[55, 44, 5], Operations: ['79-74=5']
Exploring Operation: 55/5=11, Resulting Numbers: [44, 11]
Generated Node #3: [44, 11] from Operation: 55/5=11
Current State: 33:[44, 11], Operations: ['79-74=5', '55/5=11']
Exploring Operation: 44-11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
75,
7,
4,
61
] | 86 | [
"7-4=3",
"75/3=25",
"61+25=86"
] | Current State: 86:[75, 7, 4, 61], Operations: []
Exploring Operation: 7-4=3, Resulting Numbers: [75, 61, 3]
Generated Node #2: [75, 61, 3] from Operation: 7-4=3
Current State: 86:[75, 61, 3], Operations: ['7-4=3']
Exploring Operation: 75/3=25, Resulting Numbers: [61, 25]
Generated Node #3: [61, 25] from Operation: 75/3=25
Current State: 86:[61, 25], Operations: ['7-4=3', '75/3=25']
Exploring Operation: 61+25=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
43,
16,
71,
91
] | 79 | [
"43+16=59",
"91-71=20",
"59+20=79"
] | Current State: 79:[43, 16, 71, 91], Operations: []
Exploring Operation: 43+16=59, Resulting Numbers: [71, 91, 59]
Generated Node #2: [71, 91, 59] from Operation: 43+16=59
Current State: 79:[71, 91, 59], Operations: ['43+16=59']
Exploring Operation: 91-71=20, Resulting Numbers: [59, 20]
Generated Node #3: [59, 20] from Operation: 91-71=20
Current State: 79:[59, 20], Operations: ['43+16=59', '91-71=20']
Exploring Operation: 59+20=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
27,
92,
36,
39
] | 68 | [
"92-27=65",
"39-36=3",
"65+3=68"
] | Current State: 68:[27, 92, 36, 39], Operations: []
Exploring Operation: 92-27=65, Resulting Numbers: [36, 39, 65]
Generated Node #2: [36, 39, 65] from Operation: 92-27=65
Current State: 68:[36, 39, 65], Operations: ['92-27=65']
Exploring Operation: 39-36=3, Resulting Numbers: [65, 3]
Generated Node #3: [65, 3] from Operation: 39-36=3
Current State: 68:[65, 3], Operations: ['92-27=65', '39-36=3']
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
50,
16,
97,
64
] | 43 | [
"97-50=47",
"64/16=4",
"47-4=43"
] | Current State: 43:[50, 16, 97, 64], Operations: []
Exploring Operation: 97-50=47, Resulting Numbers: [16, 64, 47]
Generated Node #2: [16, 64, 47] from Operation: 97-50=47
Current State: 43:[16, 64, 47], Operations: ['97-50=47']
Exploring Operation: 64/16=4, Resulting Numbers: [47, 4]
Generated Node #3: [47, 4] from Operation: 64/16=4
Current State: 43:[47, 4], Operations: ['97-50=47', '64/16=4']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
32,
74,
12,
29
] | 78 | [
"32-29=3",
"12/3=4",
"74+4=78"
] | Current State: 78:[32, 74, 12, 29], Operations: []
Exploring Operation: 32-29=3, Resulting Numbers: [74, 12, 3]
Generated Node #2: [74, 12, 3] from Operation: 32-29=3
Current State: 78:[74, 12, 3], Operations: ['32-29=3']
Exploring Operation: 12/3=4, Resulting Numbers: [74, 4]
Generated Node #3: [74, 4] from Operation: 12/3=4
Current State: 78:[74, 4], Operations: ['32-29=3', '12/3=4']
Exploring Operation: 74+4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
27,
15,
5,
8
] | 17 | [
"27*5=135",
"135/15=9",
"8+9=17"
] | Current State: 17:[27, 15, 5, 8], Operations: []
Exploring Operation: 27*5=135, Resulting Numbers: [15, 8, 135]
Generated Node #2: [15, 8, 135] from Operation: 27*5=135
Current State: 17:[15, 8, 135], Operations: ['27*5=135']
Exploring Operation: 135/15=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 135/15=9
Current State: 17:[8, 9], Operations: ['27*5=135', '135/15=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
34,
9,
78,
37
] | 17 | [
"37-34=3",
"78/3=26",
"26-9=17"
] | Current State: 17:[34, 9, 78, 37], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [9, 78, 3]
Generated Node #2: [9, 78, 3] from Operation: 37-34=3
Current State: 17:[9, 78, 3], Operations: ['37-34=3']
Exploring Operation: 78/3=26, Resulting Numbers: [9, 26]
Generated Node #3: [9, 26] from Operation: 78/3=26
Current State: 17:[9, 26], Operations: ['37-34=3', '78/3=26']
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
4,
75,
88,
25
] | 25 | [
"88/4=22",
"75/25=3",
"22+3=25"
] | Current State: 25:[4, 75, 88, 25], Operations: []
Exploring Operation: 88/4=22, Resulting Numbers: [75, 25, 22]
Generated Node #2: [75, 25, 22] from Operation: 88/4=22
Current State: 25:[75, 25, 22], Operations: ['88/4=22']
Exploring Operation: 75/25=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 75/25=3
Current State: 25:[22, 3], Operations: ['88/4=22', '75/25=3']
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
11,
6,
45,
68
] | 72 | [
"11+45=56",
"68-56=12",
"6*12=72"
] | Current State: 72:[11, 6, 45, 68], Operations: []
Exploring Operation: 11+45=56, Resulting Numbers: [6, 68, 56]
Generated Node #2: [6, 68, 56] from Operation: 11+45=56
Current State: 72:[6, 68, 56], Operations: ['11+45=56']
Exploring Operation: 68-56=12, Resulting Numbers: [6, 12]
Generated Node #3: [6, 12] from Operation: 68-56=12
Current State: 72:[6, 12], Operations: ['11+45=56', '68-56=12']
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
57,
29,
61,
29
] | 19 | [
"61-29=32",
"32-29=3",
"57/3=19"
] | Current State: 19:[57, 29, 61, 29], Operations: []
Exploring Operation: 61-29=32, Resulting Numbers: [57, 32]
Generated Node #2: [57, 32] from Operation: 61-29=32
Current State: 19:[57, 32], Operations: ['61-29=32']
Exploring Operation: 32-29=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 32-29=3
Current State: 19:[57, 3], Operations: ['61-29=32', '32-29=3']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
45,
59,
74,
54
] | 83 | [
"59-54=5",
"45/5=9",
"74+9=83"
] | Current State: 83:[45, 59, 74, 54], Operations: []
Exploring Operation: 59-54=5, Resulting Numbers: [45, 74, 5]
Generated Node #2: [45, 74, 5] from Operation: 59-54=5
Current State: 83:[45, 74, 5], Operations: ['59-54=5']
Exploring Operation: 45/5=9, Resulting Numbers: [74, 9]
Generated Node #3: [74, 9] from Operation: 45/5=9
Current State: 83:[74, 9], Operations: ['59-54=5', '45/5=9']
Exploring Operation: 74+9=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
7,
49,
82,
45
] | 71 | [
"7+49=56",
"82+45=127",
"127-56=71"
] | Current State: 71:[7, 49, 82, 45], Operations: []
Exploring Operation: 7+49=56, Resulting Numbers: [82, 45, 56]
Generated Node #2: [82, 45, 56] from Operation: 7+49=56
Current State: 71:[82, 45, 56], Operations: ['7+49=56']
Exploring Operation: 82+45=127, Resulting Numbers: [56, 127]
Generated Node #3: [56, 127] from Operation: 82+45=127
Current State: 71:[56, 127], Operations: ['7+49=56', '82+45=127']
Exploring Operation: 127-56=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
5,
3,
26,
96
] | 22 | [
"5-3=2",
"96/2=48",
"48-26=22"
] | Current State: 22:[5, 3, 26, 96], Operations: []
Exploring Operation: 5-3=2, Resulting Numbers: [26, 96, 2]
Generated Node #2: [26, 96, 2] from Operation: 5-3=2
Current State: 22:[26, 96, 2], Operations: ['5-3=2']
Exploring Operation: 96/2=48, Resulting Numbers: [26, 48]
Generated Node #3: [26, 48] from Operation: 96/2=48
Current State: 22:[26, 48], Operations: ['5-3=2', '96/2=48']
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
61,
56,
89,
67
] | 95 | [
"61+56=117",
"89-67=22",
"117-22=95"
] | Current State: 95:[61, 56, 89, 67], Operations: []
Exploring Operation: 61+56=117, Resulting Numbers: [89, 67, 117]
Generated Node #2: [89, 67, 117] from Operation: 61+56=117
Current State: 95:[89, 67, 117], Operations: ['61+56=117']
Exploring Operation: 89-67=22, Resulting Numbers: [117, 22]
Generated Node #3: [117, 22] from Operation: 89-67=22
Current State: 95:[117, 22], Operations: ['61+56=117', '89-67=22']
Exploring Operation: 117-22=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
40,
11,
73,
35
] | 38 | [
"73-40=33",
"33/11=3",
"35+3=38"
] | Current State: 38:[40, 11, 73, 35], Operations: []
Exploring Operation: 73-40=33, Resulting Numbers: [11, 35, 33]
Generated Node #2: [11, 35, 33] from Operation: 73-40=33
Current State: 38:[11, 35, 33], Operations: ['73-40=33']
Exploring Operation: 33/11=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 33/11=3
Current State: 38:[35, 3], Operations: ['73-40=33', '33/11=3']
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
50,
36,
22,
46
] | 31 | [
"50-46=4",
"36/4=9",
"22+9=31"
] | Current State: 31:[50, 36, 22, 46], Operations: []
Exploring Operation: 50-46=4, Resulting Numbers: [36, 22, 4]
Generated Node #2: [36, 22, 4] from Operation: 50-46=4
Current State: 31:[36, 22, 4], Operations: ['50-46=4']
Exploring Operation: 36/4=9, Resulting Numbers: [22, 9]
Generated Node #3: [22, 9] from Operation: 36/4=9
Current State: 31:[22, 9], Operations: ['50-46=4', '36/4=9']
Exploring Operation: 22+9=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
99,
15,
99,
17
] | 31 | [
"99/99=1",
"15+17=32",
"32-1=31"
] | Current State: 31:[99, 15, 99, 17], Operations: []
Exploring Operation: 99/99=1, Resulting Numbers: [15, 17, 1]
Generated Node #2: [15, 17, 1] from Operation: 99/99=1
Current State: 31:[15, 17, 1], Operations: ['99/99=1']
Exploring Operation: 15+17=32, Resulting Numbers: [1, 32]
Generated Node #3: [1, 32] from Operation: 15+17=32
Current State: 31:[1, 32], Operations: ['99/99=1', '15+17=32']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
60,
44,
19,
75
] | 10 | [
"60+44=104",
"19+75=94",
"104-94=10"
] | Current State: 10:[60, 44, 19, 75], Operations: []
Exploring Operation: 60+44=104, Resulting Numbers: [19, 75, 104]
Generated Node #2: [19, 75, 104] from Operation: 60+44=104
Current State: 10:[19, 75, 104], Operations: ['60+44=104']
Exploring Operation: 19+75=94, Resulting Numbers: [104, 94]
Generated Node #3: [104, 94] from Operation: 19+75=94
Current State: 10:[104, 94], Operations: ['60+44=104', '19+75=94']
Exploring Operation: 104-94=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
97,
15,
21,
75
] | 81 | [
"97-21=76",
"75/15=5",
"76+5=81"
] | Current State: 81:[97, 15, 21, 75], Operations: []
Exploring Operation: 97-21=76, Resulting Numbers: [15, 75, 76]
Generated Node #2: [15, 75, 76] from Operation: 97-21=76
Current State: 81:[15, 75, 76], Operations: ['97-21=76']
Exploring Operation: 75/15=5, Resulting Numbers: [76, 5]
Generated Node #3: [76, 5] from Operation: 75/15=5
Current State: 81:[76, 5], Operations: ['97-21=76', '75/15=5']
Exploring Operation: 76+5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
17,
55,
24,
12
] | 30 | [
"17+55=72",
"72/12=6",
"24+6=30"
] | Current State: 30:[17, 55, 24, 12], Operations: []
Exploring Operation: 17+55=72, Resulting Numbers: [24, 12, 72]
Generated Node #2: [24, 12, 72] from Operation: 17+55=72
Current State: 30:[24, 12, 72], Operations: ['17+55=72']
Exploring Operation: 72/12=6, Resulting Numbers: [24, 6]
Generated Node #3: [24, 6] from Operation: 72/12=6
Current State: 30:[24, 6], Operations: ['17+55=72', '72/12=6']
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
29,
96,
71,
66
] | 49 | [
"71-66=5",
"29*5=145",
"145-96=49"
] | Current State: 49:[29, 96, 71, 66], Operations: []
Exploring Operation: 71-66=5, Resulting Numbers: [29, 96, 5]
Generated Node #2: [29, 96, 5] from Operation: 71-66=5
Current State: 49:[29, 96, 5], Operations: ['71-66=5']
Exploring Operation: 29*5=145, Resulting Numbers: [96, 145]
Generated Node #3: [96, 145] from Operation: 29*5=145
Current State: 49:[96, 145], Operations: ['71-66=5', '29*5=145']
Exploring Operation: 145-96=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
5,
57,
33,
76
] | 62 | [
"76-57=19",
"5*19=95",
"95-33=62"
] | Current State: 62:[5, 57, 33, 76], Operations: []
Exploring Operation: 76-57=19, Resulting Numbers: [5, 33, 19]
Generated Node #2: [5, 33, 19] from Operation: 76-57=19
Current State: 62:[5, 33, 19], Operations: ['76-57=19']
Exploring Operation: 5*19=95, Resulting Numbers: [33, 95]
Generated Node #3: [33, 95] from Operation: 5*19=95
Current State: 62:[33, 95], Operations: ['76-57=19', '5*19=95']
Exploring Operation: 95-33=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
98,
23,
98,
7
] | 89 | [
"98-23=75",
"98/7=14",
"75+14=89"
] | Current State: 89:[98, 23, 98, 7], Operations: []
Exploring Operation: 98-23=75, Resulting Numbers: [7, 75]
Generated Node #2: [7, 75] from Operation: 98-23=75
Current State: 89:[7, 75], Operations: ['98-23=75']
Exploring Operation: 98/7=14, Resulting Numbers: [75, 14]
Generated Node #3: [75, 14] from Operation: 98/7=14
Current State: 89:[75, 14], Operations: ['98-23=75', '98/7=14']
Exploring Operation: 75+14=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
50,
44,
13,
17
] | 89 | [
"50-44=6",
"17*6=102",
"102-13=89"
] | Current State: 89:[50, 44, 13, 17], Operations: []
Exploring Operation: 50-44=6, Resulting Numbers: [13, 17, 6]
Generated Node #2: [13, 17, 6] from Operation: 50-44=6
Current State: 89:[13, 17, 6], Operations: ['50-44=6']
Exploring Operation: 17*6=102, Resulting Numbers: [13, 102]
Generated Node #3: [13, 102] from Operation: 17*6=102
Current State: 89:[13, 102], Operations: ['50-44=6', '17*6=102']
Exploring Operation: 102-13=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
68,
66,
65,
67
] | 100 | [
"67-65=2",
"68/2=34",
"66+34=100"
] | Current State: 100:[68, 66, 65, 67], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [68, 66, 2]
Generated Node #2: [68, 66, 2] from Operation: 67-65=2
Current State: 100:[68, 66, 2], Operations: ['67-65=2']
Exploring Operation: 68/2=34, Resulting Numbers: [66, 34]
Generated Node #3: [66, 34] from Operation: 68/2=34
Current State: 100:[66, 34], Operations: ['67-65=2', '68/2=34']
Exploring Operation: 66+34=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
63,
19,
31,
63
] | 76 | [
"63-19=44",
"63-31=32",
"44+32=76"
] | Current State: 76:[63, 19, 31, 63], Operations: []
Exploring Operation: 63-19=44, Resulting Numbers: [31, 44]
Generated Node #2: [31, 44] from Operation: 63-19=44
Current State: 76:[31, 44], Operations: ['63-19=44']
Exploring Operation: 63-31=32, Resulting Numbers: [44, 32]
Generated Node #3: [44, 32] from Operation: 63-31=32
Current State: 76:[44, 32], Operations: ['63-19=44', '63-31=32']
Exploring Operation: 44+32=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
11,
3,
67,
28
] | 53 | [
"11+3=14",
"67-28=39",
"14+39=53"
] | Current State: 53:[11, 3, 67, 28], Operations: []
Exploring Operation: 11+3=14, Resulting Numbers: [67, 28, 14]
Generated Node #2: [67, 28, 14] from Operation: 11+3=14
Current State: 53:[67, 28, 14], Operations: ['11+3=14']
Exploring Operation: 67-28=39, Resulting Numbers: [14, 39]
Generated Node #3: [14, 39] from Operation: 67-28=39
Current State: 53:[14, 39], Operations: ['11+3=14', '67-28=39']
Exploring Operation: 14+39=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
2,
45,
14,
23
] | 56 | [
"2+45=47",
"23-14=9",
"47+9=56"
] | Current State: 56:[2, 45, 14, 23], Operations: []
Exploring Operation: 2+45=47, Resulting Numbers: [14, 23, 47]
Generated Node #2: [14, 23, 47] from Operation: 2+45=47
Current State: 56:[14, 23, 47], Operations: ['2+45=47']
Exploring Operation: 23-14=9, Resulting Numbers: [47, 9]
Generated Node #3: [47, 9] from Operation: 23-14=9
Current State: 56:[47, 9], Operations: ['2+45=47', '23-14=9']
Exploring Operation: 47+9=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
2,
94,
54,
17
] | 48 | [
"54+17=71",
"2*71=142",
"142-94=48"
] | Current State: 48:[2, 94, 54, 17], Operations: []
Exploring Operation: 54+17=71, Resulting Numbers: [2, 94, 71]
Generated Node #2: [2, 94, 71] from Operation: 54+17=71
Current State: 48:[2, 94, 71], Operations: ['54+17=71']
Exploring Operation: 2*71=142, Resulting Numbers: [94, 142]
Generated Node #3: [94, 142] from Operation: 2*71=142
Current State: 48:[94, 142], Operations: ['54+17=71', '2*71=142']
Exploring Operation: 142-94=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
58,
44,
58,
2
] | 43 | [
"58-44=14",
"58/2=29",
"14+29=43"
] | Current State: 43:[58, 44, 58, 2], Operations: []
Exploring Operation: 58-44=14, Resulting Numbers: [2, 14]
Generated Node #2: [2, 14] from Operation: 58-44=14
Current State: 43:[2, 14], Operations: ['58-44=14']
Exploring Operation: 58/2=29, Resulting Numbers: [14, 29]
Generated Node #3: [14, 29] from Operation: 58/2=29
Current State: 43:[14, 29], Operations: ['58-44=14', '58/2=29']
Exploring Operation: 14+29=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
2,
80,
31,
80
] | 93 | [
"80/80=1",
"2+1=3",
"31*3=93"
] | Current State: 93:[2, 80, 31, 80], Operations: []
Exploring Operation: 80/80=1, Resulting Numbers: [2, 31, 1]
Generated Node #2: [2, 31, 1] from Operation: 80/80=1
Current State: 93:[2, 31, 1], Operations: ['80/80=1']
Exploring Operation: 2+1=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 2+1=3
Current State: 93:[31, 3], Operations: ['80/80=1', '2+1=3']
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
66,
77,
29,
12
] | 30 | [
"77-66=11",
"29+12=41",
"41-11=30"
] | Current State: 30:[66, 77, 29, 12], Operations: []
Exploring Operation: 77-66=11, Resulting Numbers: [29, 12, 11]
Generated Node #2: [29, 12, 11] from Operation: 77-66=11
Current State: 30:[29, 12, 11], Operations: ['77-66=11']
Exploring Operation: 29+12=41, Resulting Numbers: [11, 41]
Generated Node #3: [11, 41] from Operation: 29+12=41
Current State: 30:[11, 41], Operations: ['77-66=11', '29+12=41']
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
89,
43,
26,
88
] | 18 | [
"89+43=132",
"26+88=114",
"132-114=18"
] | Current State: 18:[89, 43, 26, 88], Operations: []
Exploring Operation: 89+43=132, Resulting Numbers: [26, 88, 132]
Generated Node #2: [26, 88, 132] from Operation: 89+43=132
Current State: 18:[26, 88, 132], Operations: ['89+43=132']
Exploring Operation: 26+88=114, Resulting Numbers: [132, 114]
Generated Node #3: [132, 114] from Operation: 26+88=114
Current State: 18:[132, 114], Operations: ['89+43=132', '26+88=114']
Exploring Operation: 132-114=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
9,
87,
39,
33
] | 24 | [
"9+87=96",
"39+33=72",
"96-72=24"
] | Current State: 24:[9, 87, 39, 33], Operations: []
Exploring Operation: 9+87=96, Resulting Numbers: [39, 33, 96]
Generated Node #2: [39, 33, 96] from Operation: 9+87=96
Current State: 24:[39, 33, 96], Operations: ['9+87=96']
Exploring Operation: 39+33=72, Resulting Numbers: [96, 72]
Generated Node #3: [96, 72] from Operation: 39+33=72
Current State: 24:[96, 72], Operations: ['9+87=96', '39+33=72']
Exploring Operation: 96-72=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
87,
9,
81,
8
] | 96 | [
"87+81=168",
"9*8=72",
"168-72=96"
] | Current State: 96:[87, 9, 81, 8], Operations: []
Exploring Operation: 87+81=168, Resulting Numbers: [9, 8, 168]
Generated Node #2: [9, 8, 168] from Operation: 87+81=168
Current State: 96:[9, 8, 168], Operations: ['87+81=168']
Exploring Operation: 9*8=72, Resulting Numbers: [168, 72]
Generated Node #3: [168, 72] from Operation: 9*8=72
Current State: 96:[168, 72], Operations: ['87+81=168', '9*8=72']
Exploring Operation: 168-72=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
64,
59,
66,
19
] | 42 | [
"64-59=5",
"66-19=47",
"47-5=42"
] | Current State: 42:[64, 59, 66, 19], Operations: []
Exploring Operation: 64-59=5, Resulting Numbers: [66, 19, 5]
Generated Node #2: [66, 19, 5] from Operation: 64-59=5
Current State: 42:[66, 19, 5], Operations: ['64-59=5']
Exploring Operation: 66-19=47, Resulting Numbers: [5, 47]
Generated Node #3: [5, 47] from Operation: 66-19=47
Current State: 42:[5, 47], Operations: ['64-59=5', '66-19=47']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
18,
86,
35,
86
] | 53 | [
"18+86=104",
"86-35=51",
"104-51=53"
] | Current State: 53:[18, 86, 35, 86], Operations: []
Exploring Operation: 18+86=104, Resulting Numbers: [35, 104]
Generated Node #2: [35, 104] from Operation: 18+86=104
Current State: 53:[35, 104], Operations: ['18+86=104']
Exploring Operation: 86-35=51, Resulting Numbers: [104, 51]
Generated Node #3: [104, 51] from Operation: 86-35=51
Current State: 53:[104, 51], Operations: ['18+86=104', '86-35=51']
Exploring Operation: 104-51=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
40,
6,
80,
38
] | 43 | [
"40-38=2",
"6+80=86",
"86/2=43"
] | Current State: 43:[40, 6, 80, 38], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [6, 80, 2]
Generated Node #2: [6, 80, 2] from Operation: 40-38=2
Current State: 43:[6, 80, 2], Operations: ['40-38=2']
Exploring Operation: 6+80=86, Resulting Numbers: [2, 86]
Generated Node #3: [2, 86] from Operation: 6+80=86
Current State: 43:[2, 86], Operations: ['40-38=2', '6+80=86']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
12,
10,
33,
13
] | 42 | [
"12+10=22",
"33-13=20",
"22+20=42"
] | Current State: 42:[12, 10, 33, 13], Operations: []
Exploring Operation: 12+10=22, Resulting Numbers: [33, 13, 22]
Generated Node #2: [33, 13, 22] from Operation: 12+10=22
Current State: 42:[33, 13, 22], Operations: ['12+10=22']
Exploring Operation: 33-13=20, Resulting Numbers: [22, 20]
Generated Node #3: [22, 20] from Operation: 33-13=20
Current State: 42:[22, 20], Operations: ['12+10=22', '33-13=20']
Exploring Operation: 22+20=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
3,
96,
27,
76
] | 91 | [
"3*27=81",
"96+76=172",
"172-81=91"
] | Current State: 91:[3, 96, 27, 76], Operations: []
Exploring Operation: 3*27=81, Resulting Numbers: [96, 76, 81]
Generated Node #2: [96, 76, 81] from Operation: 3*27=81
Current State: 91:[96, 76, 81], Operations: ['3*27=81']
Exploring Operation: 96+76=172, Resulting Numbers: [81, 172]
Generated Node #3: [81, 172] from Operation: 96+76=172
Current State: 91:[81, 172], Operations: ['3*27=81', '96+76=172']
Exploring Operation: 172-81=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
38,
2,
35,
31
] | 65 | [
"38-35=3",
"2*31=62",
"3+62=65"
] | Current State: 65:[38, 2, 35, 31], Operations: []
Exploring Operation: 38-35=3, Resulting Numbers: [2, 31, 3]
Generated Node #2: [2, 31, 3] from Operation: 38-35=3
Current State: 65:[2, 31, 3], Operations: ['38-35=3']
Exploring Operation: 2*31=62, Resulting Numbers: [3, 62]
Generated Node #3: [3, 62] from Operation: 2*31=62
Current State: 65:[3, 62], Operations: ['38-35=3', '2*31=62']
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
17,
32,
95,
31
] | 19 | [
"95-31=64",
"64/32=2",
"17+2=19"
] | Current State: 19:[17, 32, 95, 31], Operations: []
Exploring Operation: 95-31=64, Resulting Numbers: [17, 32, 64]
Generated Node #2: [17, 32, 64] from Operation: 95-31=64
Current State: 19:[17, 32, 64], Operations: ['95-31=64']
Exploring Operation: 64/32=2, Resulting Numbers: [17, 2]
Generated Node #3: [17, 2] from Operation: 64/32=2
Current State: 19:[17, 2], Operations: ['95-31=64', '64/32=2']
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
33,
9,
36,
29
] | 31 | [
"33-9=24",
"36-29=7",
"24+7=31"
] | Current State: 31:[33, 9, 36, 29], Operations: []
Exploring Operation: 33-9=24, Resulting Numbers: [36, 29, 24]
Generated Node #2: [36, 29, 24] from Operation: 33-9=24
Current State: 31:[36, 29, 24], Operations: ['33-9=24']
Exploring Operation: 36-29=7, Resulting Numbers: [24, 7]
Generated Node #3: [24, 7] from Operation: 36-29=7
Current State: 31:[24, 7], Operations: ['33-9=24', '36-29=7']
Exploring Operation: 24+7=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
10,
52,
3,
29
] | 33 | [
"10+3=13",
"52/13=4",
"29+4=33"
] | Current State: 33:[10, 52, 3, 29], Operations: []
Exploring Operation: 10+3=13, Resulting Numbers: [52, 29, 13]
Generated Node #2: [52, 29, 13] from Operation: 10+3=13
Current State: 33:[52, 29, 13], Operations: ['10+3=13']
Exploring Operation: 52/13=4, Resulting Numbers: [29, 4]
Generated Node #3: [29, 4] from Operation: 52/13=4
Current State: 33:[29, 4], Operations: ['10+3=13', '52/13=4']
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
1,
32,
28,
17
] | 51 | [
"32-1=31",
"31-28=3",
"17*3=51"
] | Current State: 51:[1, 32, 28, 17], Operations: []
Exploring Operation: 32-1=31, Resulting Numbers: [28, 17, 31]
Generated Node #2: [28, 17, 31] from Operation: 32-1=31
Current State: 51:[28, 17, 31], Operations: ['32-1=31']
Exploring Operation: 31-28=3, Resulting Numbers: [17, 3]
Generated Node #3: [17, 3] from Operation: 31-28=3
Current State: 51:[17, 3], Operations: ['32-1=31', '31-28=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
80,
95,
87,
21
] | 52 | [
"87-80=7",
"21*7=147",
"147-95=52"
] | Current State: 52:[80, 95, 87, 21], Operations: []
Exploring Operation: 87-80=7, Resulting Numbers: [95, 21, 7]
Generated Node #2: [95, 21, 7] from Operation: 87-80=7
Current State: 52:[95, 21, 7], Operations: ['87-80=7']
Exploring Operation: 21*7=147, Resulting Numbers: [95, 147]
Generated Node #3: [95, 147] from Operation: 21*7=147
Current State: 52:[95, 147], Operations: ['87-80=7', '21*7=147']
Exploring Operation: 147-95=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
15,
72,
5,
79
] | 68 | [
"15*5=75",
"79-72=7",
"75-7=68"
] | Current State: 68:[15, 72, 5, 79], Operations: []
Exploring Operation: 15*5=75, Resulting Numbers: [72, 79, 75]
Generated Node #2: [72, 79, 75] from Operation: 15*5=75
Current State: 68:[72, 79, 75], Operations: ['15*5=75']
Exploring Operation: 79-72=7, Resulting Numbers: [75, 7]
Generated Node #3: [75, 7] from Operation: 79-72=7
Current State: 68:[75, 7], Operations: ['15*5=75', '79-72=7']
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
9,
81,
19,
19
] | 52 | [
"9+81=90",
"19+19=38",
"90-38=52"
] | Current State: 52:[9, 81, 19, 19], Operations: []
Exploring Operation: 9+81=90, Resulting Numbers: [19, 19, 90]
Generated Node #2: [19, 19, 90] from Operation: 9+81=90
Current State: 52:[19, 19, 90], Operations: ['9+81=90']
Exploring Operation: 19+19=38, Resulting Numbers: [90, 38]
Generated Node #3: [90, 38] from Operation: 19+19=38
Current State: 52:[90, 38], Operations: ['9+81=90', '19+19=38']
Exploring Operation: 90-38=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
56,
18,
42,
5
] | 37 | [
"56+18=74",
"42-5=37",
"74-37=37"
] | Current State: 37:[56, 18, 42, 5], Operations: []
Exploring Operation: 56+18=74, Resulting Numbers: [42, 5, 74]
Generated Node #2: [42, 5, 74] from Operation: 56+18=74
Current State: 37:[42, 5, 74], Operations: ['56+18=74']
Exploring Operation: 42-5=37, Resulting Numbers: [74, 37]
Generated Node #3: [74, 37] from Operation: 42-5=37
Current State: 37:[74, 37], Operations: ['56+18=74', '42-5=37']
Exploring Operation: 74-37=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
65,
27,
27,
86
] | 65 | [
"27-27=0",
"86*0=0",
"65+0=65"
] | Current State: 65:[65, 27, 27, 86], Operations: []
Exploring Operation: 27-27=0, Resulting Numbers: [65, 86, 0]
Generated Node #2: [65, 86, 0] from Operation: 27-27=0
Current State: 65:[65, 86, 0], Operations: ['27-27=0']
Exploring Operation: 86*0=0, Resulting Numbers: [65, 0]
Generated Node #3: [65, 0] from Operation: 86*0=0
Current State: 65:[65, 0], Operations: ['27-27=0', '86*0=0']
Exploring Operation: 65+0=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
52,
20,
26,
28
] | 64 | [
"52-20=32",
"28-26=2",
"32*2=64"
] | Current State: 64:[52, 20, 26, 28], Operations: []
Exploring Operation: 52-20=32, Resulting Numbers: [26, 28, 32]
Generated Node #2: [26, 28, 32] from Operation: 52-20=32
Current State: 64:[26, 28, 32], Operations: ['52-20=32']
Exploring Operation: 28-26=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 28-26=2
Current State: 64:[32, 2], Operations: ['52-20=32', '28-26=2']
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
94,
55,
33,
6
] | 84 | [
"55*6=330",
"330/33=10",
"94-10=84"
] | Current State: 84:[94, 55, 33, 6], Operations: []
Exploring Operation: 55*6=330, Resulting Numbers: [94, 33, 330]
Generated Node #2: [94, 33, 330] from Operation: 55*6=330
Current State: 84:[94, 33, 330], Operations: ['55*6=330']
Exploring Operation: 330/33=10, Resulting Numbers: [94, 10]
Generated Node #3: [94, 10] from Operation: 330/33=10
Current State: 84:[94, 10], Operations: ['55*6=330', '330/33=10']
Exploring Operation: 94-10=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
72,
40,
74,
70
] | 58 | [
"74-70=4",
"72/4=18",
"40+18=58"
] | Current State: 58:[72, 40, 74, 70], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [72, 40, 4]
Generated Node #2: [72, 40, 4] from Operation: 74-70=4
Current State: 58:[72, 40, 4], Operations: ['74-70=4']
Exploring Operation: 72/4=18, Resulting Numbers: [40, 18]
Generated Node #3: [40, 18] from Operation: 72/4=18
Current State: 58:[40, 18], Operations: ['74-70=4', '72/4=18']
Exploring Operation: 40+18=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
42,
11,
97,
38
] | 90 | [
"42-11=31",
"97-38=59",
"31+59=90"
] | Current State: 90:[42, 11, 97, 38], Operations: []
Exploring Operation: 42-11=31, Resulting Numbers: [97, 38, 31]
Generated Node #2: [97, 38, 31] from Operation: 42-11=31
Current State: 90:[97, 38, 31], Operations: ['42-11=31']
Exploring Operation: 97-38=59, Resulting Numbers: [31, 59]
Generated Node #3: [31, 59] from Operation: 97-38=59
Current State: 90:[31, 59], Operations: ['42-11=31', '97-38=59']
Exploring Operation: 31+59=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
98,
15,
69,
61
] | 75 | [
"98-15=83",
"69-61=8",
"83-8=75"
] | Current State: 75:[98, 15, 69, 61], Operations: []
Exploring Operation: 98-15=83, Resulting Numbers: [69, 61, 83]
Generated Node #2: [69, 61, 83] from Operation: 98-15=83
Current State: 75:[69, 61, 83], Operations: ['98-15=83']
Exploring Operation: 69-61=8, Resulting Numbers: [83, 8]
Generated Node #3: [83, 8] from Operation: 69-61=8
Current State: 75:[83, 8], Operations: ['98-15=83', '69-61=8']
Exploring Operation: 83-8=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
83,
28,
63,
3
] | 78 | [
"83+28=111",
"63*3=189",
"189-111=78"
] | Current State: 78:[83, 28, 63, 3], Operations: []
Exploring Operation: 83+28=111, Resulting Numbers: [63, 3, 111]
Generated Node #2: [63, 3, 111] from Operation: 83+28=111
Current State: 78:[63, 3, 111], Operations: ['83+28=111']
Exploring Operation: 63*3=189, Resulting Numbers: [111, 189]
Generated Node #3: [111, 189] from Operation: 63*3=189
Current State: 78:[111, 189], Operations: ['83+28=111', '63*3=189']
Exploring Operation: 189-111=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
38,
18,
19,
91
] | 90 | [
"38-18=20",
"19+91=110",
"110-20=90"
] | Current State: 90:[38, 18, 19, 91], Operations: []
Exploring Operation: 38-18=20, Resulting Numbers: [19, 91, 20]
Generated Node #2: [19, 91, 20] from Operation: 38-18=20
Current State: 90:[19, 91, 20], Operations: ['38-18=20']
Exploring Operation: 19+91=110, Resulting Numbers: [20, 110]
Generated Node #3: [20, 110] from Operation: 19+91=110
Current State: 90:[20, 110], Operations: ['38-18=20', '19+91=110']
Exploring Operation: 110-20=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
67,
90,
6,
70
] | 28 | [
"70-67=3",
"90-6=84",
"84/3=28"
] | Current State: 28:[67, 90, 6, 70], Operations: []
Exploring Operation: 70-67=3, Resulting Numbers: [90, 6, 3]
Generated Node #2: [90, 6, 3] from Operation: 70-67=3
Current State: 28:[90, 6, 3], Operations: ['70-67=3']
Exploring Operation: 90-6=84, Resulting Numbers: [3, 84]
Generated Node #3: [3, 84] from Operation: 90-6=84
Current State: 28:[3, 84], Operations: ['70-67=3', '90-6=84']
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
50,
27,
26,
74
] | 29 | [
"50+27=77",
"74-26=48",
"77-48=29"
] | Current State: 29:[50, 27, 26, 74], Operations: []
Exploring Operation: 50+27=77, Resulting Numbers: [26, 74, 77]
Generated Node #2: [26, 74, 77] from Operation: 50+27=77
Current State: 29:[26, 74, 77], Operations: ['50+27=77']
Exploring Operation: 74-26=48, Resulting Numbers: [77, 48]
Generated Node #3: [77, 48] from Operation: 74-26=48
Current State: 29:[77, 48], Operations: ['50+27=77', '74-26=48']
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
71,
91,
53,
5
] | 47 | [
"91-71=20",
"5*20=100",
"100-53=47"
] | Current State: 47:[71, 91, 53, 5], Operations: []
Exploring Operation: 91-71=20, Resulting Numbers: [53, 5, 20]
Generated Node #2: [53, 5, 20] from Operation: 91-71=20
Current State: 47:[53, 5, 20], Operations: ['91-71=20']
Exploring Operation: 5*20=100, Resulting Numbers: [53, 100]
Generated Node #3: [53, 100] from Operation: 5*20=100
Current State: 47:[53, 100], Operations: ['91-71=20', '5*20=100']
Exploring Operation: 100-53=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
8,
10,
30,
3
] | 26 | [
"10-3=7",
"8*7=56",
"56-30=26"
] | Current State: 26:[8, 10, 30, 3], Operations: []
Exploring Operation: 10-3=7, Resulting Numbers: [8, 30, 7]
Generated Node #2: [8, 30, 7] from Operation: 10-3=7
Current State: 26:[8, 30, 7], Operations: ['10-3=7']
Exploring Operation: 8*7=56, Resulting Numbers: [30, 56]
Generated Node #3: [30, 56] from Operation: 8*7=56
Current State: 26:[30, 56], Operations: ['10-3=7', '8*7=56']
Exploring Operation: 56-30=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
85,
90,
80,
72
] | 70 | [
"90+80=170",
"170/85=2",
"72-2=70"
] | Current State: 70:[85, 90, 80, 72], Operations: []
Exploring Operation: 90+80=170, Resulting Numbers: [85, 72, 170]
Generated Node #2: [85, 72, 170] from Operation: 90+80=170
Current State: 70:[85, 72, 170], Operations: ['90+80=170']
Exploring Operation: 170/85=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 170/85=2
Current State: 70:[72, 2], Operations: ['90+80=170', '170/85=2']
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
1,
62,
17,
53
] | 97 | [
"62-1=61",
"53-17=36",
"61+36=97"
] | Current State: 97:[1, 62, 17, 53], Operations: []
Exploring Operation: 62-1=61, Resulting Numbers: [17, 53, 61]
Generated Node #2: [17, 53, 61] from Operation: 62-1=61
Current State: 97:[17, 53, 61], Operations: ['62-1=61']
Exploring Operation: 53-17=36, Resulting Numbers: [61, 36]
Generated Node #3: [61, 36] from Operation: 53-17=36
Current State: 97:[61, 36], Operations: ['62-1=61', '53-17=36']
Exploring Operation: 61+36=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
48,
88,
10,
89
] | 38 | [
"48-10=38",
"89-88=1",
"38*1=38"
] | Current State: 38:[48, 88, 10, 89], Operations: []
Exploring Operation: 48-10=38, Resulting Numbers: [88, 89, 38]
Generated Node #2: [88, 89, 38] from Operation: 48-10=38
Current State: 38:[88, 89, 38], Operations: ['48-10=38']
Exploring Operation: 89-88=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 89-88=1
Current State: 38:[38, 1], Operations: ['48-10=38', '89-88=1']
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
97,
52,
82,
62
] | 25 | [
"97-52=45",
"82-62=20",
"45-20=25"
] | Current State: 25:[97, 52, 82, 62], Operations: []
Exploring Operation: 97-52=45, Resulting Numbers: [82, 62, 45]
Generated Node #2: [82, 62, 45] from Operation: 97-52=45
Current State: 25:[82, 62, 45], Operations: ['97-52=45']
Exploring Operation: 82-62=20, Resulting Numbers: [45, 20]
Generated Node #3: [45, 20] from Operation: 82-62=20
Current State: 25:[45, 20], Operations: ['97-52=45', '82-62=20']
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
42,
28,
60,
63
] | 42 | [
"42-28=14",
"63-60=3",
"14*3=42"
] | Current State: 42:[42, 28, 60, 63], Operations: []
Exploring Operation: 42-28=14, Resulting Numbers: [60, 63, 14]
Generated Node #2: [60, 63, 14] from Operation: 42-28=14
Current State: 42:[60, 63, 14], Operations: ['42-28=14']
Exploring Operation: 63-60=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 63-60=3
Current State: 42:[14, 3], Operations: ['42-28=14', '63-60=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
15,
9,
73,
3
] | 82 | [
"15-9=6",
"73+3=76",
"6+76=82"
] | Current State: 82:[15, 9, 73, 3], Operations: []
Exploring Operation: 15-9=6, Resulting Numbers: [73, 3, 6]
Generated Node #2: [73, 3, 6] from Operation: 15-9=6
Current State: 82:[73, 3, 6], Operations: ['15-9=6']
Exploring Operation: 73+3=76, Resulting Numbers: [6, 76]
Generated Node #3: [6, 76] from Operation: 73+3=76
Current State: 82:[6, 76], Operations: ['15-9=6', '73+3=76']
Exploring Operation: 6+76=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
96,
91,
8,
56
] | 53 | [
"96-91=5",
"56-8=48",
"5+48=53"
] | Current State: 53:[96, 91, 8, 56], Operations: []
Exploring Operation: 96-91=5, Resulting Numbers: [8, 56, 5]
Generated Node #2: [8, 56, 5] from Operation: 96-91=5
Current State: 53:[8, 56, 5], Operations: ['96-91=5']
Exploring Operation: 56-8=48, Resulting Numbers: [5, 48]
Generated Node #3: [5, 48] from Operation: 56-8=48
Current State: 53:[5, 48], Operations: ['96-91=5', '56-8=48']
Exploring Operation: 5+48=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
69,
24,
33,
51
] | 75 | [
"69+24=93",
"51-33=18",
"93-18=75"
] | Current State: 75:[69, 24, 33, 51], Operations: []
Exploring Operation: 69+24=93, Resulting Numbers: [33, 51, 93]
Generated Node #2: [33, 51, 93] from Operation: 69+24=93
Current State: 75:[33, 51, 93], Operations: ['69+24=93']
Exploring Operation: 51-33=18, Resulting Numbers: [93, 18]
Generated Node #3: [93, 18] from Operation: 51-33=18
Current State: 75:[93, 18], Operations: ['69+24=93', '51-33=18']
Exploring Operation: 93-18=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
7,
83,
73,
2
] | 19 | [
"7+83=90",
"73-2=71",
"90-71=19"
] | Current State: 19:[7, 83, 73, 2], Operations: []
Exploring Operation: 7+83=90, Resulting Numbers: [73, 2, 90]
Generated Node #2: [73, 2, 90] from Operation: 7+83=90
Current State: 19:[73, 2, 90], Operations: ['7+83=90']
Exploring Operation: 73-2=71, Resulting Numbers: [90, 71]
Generated Node #3: [90, 71] from Operation: 73-2=71
Current State: 19:[90, 71], Operations: ['7+83=90', '73-2=71']
Exploring Operation: 90-71=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
11,
18,
33,
25
] | 93 | [
"33/11=3",
"25*3=75",
"18+75=93"
] | Current State: 93:[11, 18, 33, 25], Operations: []
Exploring Operation: 33/11=3, Resulting Numbers: [18, 25, 3]
Generated Node #2: [18, 25, 3] from Operation: 33/11=3
Current State: 93:[18, 25, 3], Operations: ['33/11=3']
Exploring Operation: 25*3=75, Resulting Numbers: [18, 75]
Generated Node #3: [18, 75] from Operation: 25*3=75
Current State: 93:[18, 75], Operations: ['33/11=3', '25*3=75']
Exploring Operation: 18+75=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
85,
18,
11,
10
] | 88 | [
"85-18=67",
"11+10=21",
"67+21=88"
] | Current State: 88:[85, 18, 11, 10], Operations: []
Exploring Operation: 85-18=67, Resulting Numbers: [11, 10, 67]
Generated Node #2: [11, 10, 67] from Operation: 85-18=67
Current State: 88:[11, 10, 67], Operations: ['85-18=67']
Exploring Operation: 11+10=21, Resulting Numbers: [67, 21]
Generated Node #3: [67, 21] from Operation: 11+10=21
Current State: 88:[67, 21], Operations: ['85-18=67', '11+10=21']
Exploring Operation: 67+21=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
51,
80,
5,
50
] | 34 | [
"51*50=2550",
"80-5=75",
"2550/75=34"
] | Current State: 34:[51, 80, 5, 50], Operations: []
Exploring Operation: 51*50=2550, Resulting Numbers: [80, 5, 2550]
Generated Node #2: [80, 5, 2550] from Operation: 51*50=2550
Current State: 34:[80, 5, 2550], Operations: ['51*50=2550']
Exploring Operation: 80-5=75, Resulting Numbers: [2550, 75]
Generated Node #3: [2550, 75] from Operation: 80-5=75
Current State: 34:[2550, 75], Operations: ['51*50=2550', '80-5=75']
Exploring Operation: 2550/75=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
88,
70,
96,
89
] | 27 | [
"88+70=158",
"96+89=185",
"185-158=27"
] | Current State: 27:[88, 70, 96, 89], Operations: []
Exploring Operation: 88+70=158, Resulting Numbers: [96, 89, 158]
Generated Node #2: [96, 89, 158] from Operation: 88+70=158
Current State: 27:[96, 89, 158], Operations: ['88+70=158']
Exploring Operation: 96+89=185, Resulting Numbers: [158, 185]
Generated Node #3: [158, 185] from Operation: 96+89=185
Current State: 27:[158, 185], Operations: ['88+70=158', '96+89=185']
Exploring Operation: 185-158=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
2,
82,
66,
12
] | 80 | [
"82+66=148",
"12+148=160",
"160/2=80"
] | Current State: 80:[2, 82, 66, 12], Operations: []
Exploring Operation: 82+66=148, Resulting Numbers: [2, 12, 148]
Generated Node #2: [2, 12, 148] from Operation: 82+66=148
Current State: 80:[2, 12, 148], Operations: ['82+66=148']
Exploring Operation: 12+148=160, Resulting Numbers: [2, 160]
Generated Node #3: [2, 160] from Operation: 12+148=160
Current State: 80:[2, 160], Operations: ['82+66=148', '12+148=160']
Exploring Operation: 160/2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
53,
49,
44,
9
] | 39 | [
"53-49=4",
"44-9=35",
"4+35=39"
] | Current State: 39:[53, 49, 44, 9], Operations: []
Exploring Operation: 53-49=4, Resulting Numbers: [44, 9, 4]
Generated Node #2: [44, 9, 4] from Operation: 53-49=4
Current State: 39:[44, 9, 4], Operations: ['53-49=4']
Exploring Operation: 44-9=35, Resulting Numbers: [4, 35]
Generated Node #3: [4, 35] from Operation: 44-9=35
Current State: 39:[4, 35], Operations: ['53-49=4', '44-9=35']
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
85,
61,
80,
11
] | 45 | [
"85-61=24",
"80-11=69",
"69-24=45"
] | Current State: 45:[85, 61, 80, 11], Operations: []
Exploring Operation: 85-61=24, Resulting Numbers: [80, 11, 24]
Generated Node #2: [80, 11, 24] from Operation: 85-61=24
Current State: 45:[80, 11, 24], Operations: ['85-61=24']
Exploring Operation: 80-11=69, Resulting Numbers: [24, 69]
Generated Node #3: [24, 69] from Operation: 80-11=69
Current State: 45:[24, 69], Operations: ['85-61=24', '80-11=69']
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
80,
6,
25,
5
] | 35 | [
"80/5=16",
"25-6=19",
"16+19=35"
] | Current State: 35:[80, 6, 25, 5], Operations: []
Exploring Operation: 80/5=16, Resulting Numbers: [6, 25, 16]
Generated Node #2: [6, 25, 16] from Operation: 80/5=16
Current State: 35:[6, 25, 16], Operations: ['80/5=16']
Exploring Operation: 25-6=19, Resulting Numbers: [16, 19]
Generated Node #3: [16, 19] from Operation: 25-6=19
Current State: 35:[16, 19], Operations: ['80/5=16', '25-6=19']
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
21,
36,
28,
31
] | 74 | [
"36-21=15",
"28+31=59",
"15+59=74"
] | Current State: 74:[21, 36, 28, 31], Operations: []
Exploring Operation: 36-21=15, Resulting Numbers: [28, 31, 15]
Generated Node #2: [28, 31, 15] from Operation: 36-21=15
Current State: 74:[28, 31, 15], Operations: ['36-21=15']
Exploring Operation: 28+31=59, Resulting Numbers: [15, 59]
Generated Node #3: [15, 59] from Operation: 28+31=59
Current State: 74:[15, 59], Operations: ['36-21=15', '28+31=59']
Exploring Operation: 15+59=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
7,
21,
28,
35
] | 36 | [
"7+21=28",
"28/28=1",
"35+1=36"
] | Current State: 36:[7, 21, 28, 35], Operations: []
Exploring Operation: 7+21=28, Resulting Numbers: [28, 35, 28]
Generated Node #2: [28, 35, 28] from Operation: 7+21=28
Current State: 36:[28, 35, 28], Operations: ['7+21=28']
Exploring Operation: 28/28=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 28/28=1
Current State: 36:[35, 1], Operations: ['7+21=28', '28/28=1']
Exploring Operation: 35+1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
86,
99,
86,
46
] | 99 | [
"86-86=0",
"46*0=0",
"99+0=99"
] | Current State: 99:[86, 99, 86, 46], Operations: []
Exploring Operation: 86-86=0, Resulting Numbers: [99, 46, 0]
Generated Node #2: [99, 46, 0] from Operation: 86-86=0
Current State: 99:[99, 46, 0], Operations: ['86-86=0']
Exploring Operation: 46*0=0, Resulting Numbers: [99, 0]
Generated Node #3: [99, 0] from Operation: 46*0=0
Current State: 99:[99, 0], Operations: ['86-86=0', '46*0=0']
Exploring Operation: 99+0=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
26,
18,
29,
96
] | 90 | [
"29-26=3",
"18/3=6",
"96-6=90"
] | Current State: 90:[26, 18, 29, 96], Operations: []
Exploring Operation: 29-26=3, Resulting Numbers: [18, 96, 3]
Generated Node #2: [18, 96, 3] from Operation: 29-26=3
Current State: 90:[18, 96, 3], Operations: ['29-26=3']
Exploring Operation: 18/3=6, Resulting Numbers: [96, 6]
Generated Node #3: [96, 6] from Operation: 18/3=6
Current State: 90:[96, 6], Operations: ['29-26=3', '18/3=6']
Exploring Operation: 96-6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
64,
17,
69,
40
] | 62 | [
"64-17=47",
"69+40=109",
"109-47=62"
] | Current State: 62:[64, 17, 69, 40], Operations: []
Exploring Operation: 64-17=47, Resulting Numbers: [69, 40, 47]
Generated Node #2: [69, 40, 47] from Operation: 64-17=47
Current State: 62:[69, 40, 47], Operations: ['64-17=47']
Exploring Operation: 69+40=109, Resulting Numbers: [47, 109]
Generated Node #3: [47, 109] from Operation: 69+40=109
Current State: 62:[47, 109], Operations: ['64-17=47', '69+40=109']
Exploring Operation: 109-47=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
89,
54,
36,
49
] | 91 | [
"54-49=5",
"36*5=180",
"180-89=91"
] | Current State: 91:[89, 54, 36, 49], Operations: []
Exploring Operation: 54-49=5, Resulting Numbers: [89, 36, 5]
Generated Node #2: [89, 36, 5] from Operation: 54-49=5
Current State: 91:[89, 36, 5], Operations: ['54-49=5']
Exploring Operation: 36*5=180, Resulting Numbers: [89, 180]
Generated Node #3: [89, 180] from Operation: 36*5=180
Current State: 91:[89, 180], Operations: ['54-49=5', '36*5=180']
Exploring Operation: 180-89=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
5,
7,
98,
3
] | 76 | [
"5*3=15",
"98-7=91",
"91-15=76"
] | Current State: 76:[5, 7, 98, 3], Operations: []
Exploring Operation: 5*3=15, Resulting Numbers: [7, 98, 15]
Generated Node #2: [7, 98, 15] from Operation: 5*3=15
Current State: 76:[7, 98, 15], Operations: ['5*3=15']
Exploring Operation: 98-7=91, Resulting Numbers: [15, 91]
Generated Node #3: [15, 91] from Operation: 98-7=91
Current State: 76:[15, 91], Operations: ['5*3=15', '98-7=91']
Exploring Operation: 91-15=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
44,
16,
54,
66
] | 16 | [
"44-16=28",
"66-54=12",
"28-12=16"
] | Current State: 16:[44, 16, 54, 66], Operations: []
Exploring Operation: 44-16=28, Resulting Numbers: [54, 66, 28]
Generated Node #2: [54, 66, 28] from Operation: 44-16=28
Current State: 16:[54, 66, 28], Operations: ['44-16=28']
Exploring Operation: 66-54=12, Resulting Numbers: [28, 12]
Generated Node #3: [28, 12] from Operation: 66-54=12
Current State: 16:[28, 12], Operations: ['44-16=28', '66-54=12']
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
34,
98,
10,
13
] | 67 | [
"98-34=64",
"13-10=3",
"64+3=67"
] | Current State: 67:[34, 98, 10, 13], Operations: []
Exploring Operation: 98-34=64, Resulting Numbers: [10, 13, 64]
Generated Node #2: [10, 13, 64] from Operation: 98-34=64
Current State: 67:[10, 13, 64], Operations: ['98-34=64']
Exploring Operation: 13-10=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 13-10=3
Current State: 67:[64, 3], Operations: ['98-34=64', '13-10=3']
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
1,
60,
48,
78
] | 67 | [
"60-1=59",
"48+78=126",
"126-59=67"
] | Current State: 67:[1, 60, 48, 78], Operations: []
Exploring Operation: 60-1=59, Resulting Numbers: [48, 78, 59]
Generated Node #2: [48, 78, 59] from Operation: 60-1=59
Current State: 67:[48, 78, 59], Operations: ['60-1=59']
Exploring Operation: 48+78=126, Resulting Numbers: [59, 126]
Generated Node #3: [59, 126] from Operation: 48+78=126
Current State: 67:[59, 126], Operations: ['60-1=59', '48+78=126']
Exploring Operation: 126-59=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
47,
80,
30,
48
] | 29 | [
"30*48=1440",
"1440/80=18",
"47-18=29"
] | Current State: 29:[47, 80, 30, 48], Operations: []
Exploring Operation: 30*48=1440, Resulting Numbers: [47, 80, 1440]
Generated Node #2: [47, 80, 1440] from Operation: 30*48=1440
Current State: 29:[47, 80, 1440], Operations: ['30*48=1440']
Exploring Operation: 1440/80=18, Resulting Numbers: [47, 18]
Generated Node #3: [47, 18] from Operation: 1440/80=18
Current State: 29:[47, 18], Operations: ['30*48=1440', '1440/80=18']
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
3,
47,
6,
60
] | 10 | [
"47-3=44",
"60-6=54",
"54-44=10"
] | Current State: 10:[3, 47, 6, 60], Operations: []
Exploring Operation: 47-3=44, Resulting Numbers: [6, 60, 44]
Generated Node #2: [6, 60, 44] from Operation: 47-3=44
Current State: 10:[6, 60, 44], Operations: ['47-3=44']
Exploring Operation: 60-6=54, Resulting Numbers: [44, 54]
Generated Node #3: [44, 54] from Operation: 60-6=54
Current State: 10:[44, 54], Operations: ['47-3=44', '60-6=54']
Exploring Operation: 54-44=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
2,
50,
52,
81
] | 30 | [
"50+52=102",
"102/2=51",
"81-51=30"
] | Current State: 30:[2, 50, 52, 81], Operations: []
Exploring Operation: 50+52=102, Resulting Numbers: [2, 81, 102]
Generated Node #2: [2, 81, 102] from Operation: 50+52=102
Current State: 30:[2, 81, 102], Operations: ['50+52=102']
Exploring Operation: 102/2=51, Resulting Numbers: [81, 51]
Generated Node #3: [81, 51] from Operation: 102/2=51
Current State: 30:[81, 51], Operations: ['50+52=102', '102/2=51']
Exploring Operation: 81-51=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
95,
10,
97,
95
] | 100 | [
"97-95=2",
"10/2=5",
"95+5=100"
] | Current State: 100:[95, 10, 97, 95], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [10, 2]
Generated Node #2: [10, 2] from Operation: 97-95=2
Current State: 100:[10, 2], Operations: ['97-95=2']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,100 equal: Goal Reached
Exploring Operation: 95+5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
10,
2,
77,
1
] | 66 | [
"10+2=12",
"77+1=78",
"78-12=66"
] | Current State: 66:[10, 2, 77, 1], Operations: []
Exploring Operation: 10+2=12, Resulting Numbers: [77, 1, 12]
Generated Node #2: [77, 1, 12] from Operation: 10+2=12
Current State: 66:[77, 1, 12], Operations: ['10+2=12']
Exploring Operation: 77+1=78, Resulting Numbers: [12, 78]
Generated Node #3: [12, 78] from Operation: 77+1=78
Current State: 66:[12, 78], Operations: ['10+2=12', '77+1=78']
Exploring Operation: 78-12=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
81,
44,
92,
32
] | 28 | [
"92-81=11",
"44/11=4",
"32-4=28"
] | Current State: 28:[81, 44, 92, 32], Operations: []
Exploring Operation: 92-81=11, Resulting Numbers: [44, 32, 11]
Generated Node #2: [44, 32, 11] from Operation: 92-81=11
Current State: 28:[44, 32, 11], Operations: ['92-81=11']
Exploring Operation: 44/11=4, Resulting Numbers: [32, 4]
Generated Node #3: [32, 4] from Operation: 44/11=4
Current State: 28:[32, 4], Operations: ['92-81=11', '44/11=4']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
60,
28,
1,
3
] | 47 | [
"60/3=20",
"28-1=27",
"20+27=47"
] | Current State: 47:[60, 28, 1, 3], Operations: []
Exploring Operation: 60/3=20, Resulting Numbers: [28, 1, 20]
Generated Node #2: [28, 1, 20] from Operation: 60/3=20
Current State: 47:[28, 1, 20], Operations: ['60/3=20']
Exploring Operation: 28-1=27, Resulting Numbers: [20, 27]
Generated Node #3: [20, 27] from Operation: 28-1=27
Current State: 47:[20, 27], Operations: ['60/3=20', '28-1=27']
Exploring Operation: 20+27=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
27,
64,
19,
84
] | 61 | [
"84-27=57",
"57/19=3",
"64-3=61"
] | Current State: 61:[27, 64, 19, 84], Operations: []
Exploring Operation: 84-27=57, Resulting Numbers: [64, 19, 57]
Generated Node #2: [64, 19, 57] from Operation: 84-27=57
Current State: 61:[64, 19, 57], Operations: ['84-27=57']
Exploring Operation: 57/19=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 57/19=3
Current State: 61:[64, 3], Operations: ['84-27=57', '57/19=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
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