nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
43,
2,
42,
49
] | 97 | [
"43-42=1",
"2*49=98",
"98-1=97"
] | Current State: 97:[43, 2, 42, 49], Operations: []
Exploring Operation: 43-42=1, Resulting Numbers: [2, 49, 1]
Generated Node #2: [2, 49, 1] from Operation: 43-42=1
Current State: 97:[2, 49, 1], Operations: ['43-42=1']
Exploring Operation: 2*49=98, Resulting Numbers: [1, 98]
Generated Node #3: [1, 98] from Operation: 2*49=98
Current State: 97:[1, 98], Operations: ['43-42=1', '2*49=98']
Exploring Operation: 98-1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
21,
2,
27,
65
] | 55 | [
"65-27=38",
"2*38=76",
"76-21=55"
] | Current State: 55:[21, 2, 27, 65], Operations: []
Exploring Operation: 65-27=38, Resulting Numbers: [21, 2, 38]
Generated Node #2: [21, 2, 38] from Operation: 65-27=38
Current State: 55:[21, 2, 38], Operations: ['65-27=38']
Exploring Operation: 2*38=76, Resulting Numbers: [21, 76]
Generated Node #3: [21, 76] from Operation: 2*38=76
Current State: 55:[21, 76], Operations: ['65-27=38', '2*38=76']
Exploring Operation: 76-21=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
9,
93,
46,
92
] | 86 | [
"93-9=84",
"92/46=2",
"84+2=86"
] | Current State: 86:[9, 93, 46, 92], Operations: []
Exploring Operation: 93-9=84, Resulting Numbers: [46, 92, 84]
Generated Node #2: [46, 92, 84] from Operation: 93-9=84
Current State: 86:[46, 92, 84], Operations: ['93-9=84']
Exploring Operation: 92/46=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 92/46=2
Current State: 86:[84, 2], Operations: ['93-9=84', '92/46=2']
Exploring Operation: 84+2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
9,
39,
66,
3
] | 44 | [
"66-9=57",
"39/3=13",
"57-13=44"
] | Current State: 44:[9, 39, 66, 3], Operations: []
Exploring Operation: 66-9=57, Resulting Numbers: [39, 3, 57]
Generated Node #2: [39, 3, 57] from Operation: 66-9=57
Current State: 44:[39, 3, 57], Operations: ['66-9=57']
Exploring Operation: 39/3=13, Resulting Numbers: [57, 13]
Generated Node #3: [57, 13] from Operation: 39/3=13
Current State: 44:[57, 13], Operations: ['66-9=57', '39/3=13']
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
9,
92,
59,
19
] | 23 | [
"9+92=101",
"59+19=78",
"101-78=23"
] | Current State: 23:[9, 92, 59, 19], Operations: []
Exploring Operation: 9+92=101, Resulting Numbers: [59, 19, 101]
Generated Node #2: [59, 19, 101] from Operation: 9+92=101
Current State: 23:[59, 19, 101], Operations: ['9+92=101']
Exploring Operation: 59+19=78, Resulting Numbers: [101, 78]
Generated Node #3: [101, 78] from Operation: 59+19=78
Current State: 23:[101, 78], Operations: ['9+92=101', '59+19=78']
Exploring Operation: 101-78=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
35,
10,
19,
74
] | 100 | [
"35+10=45",
"74-19=55",
"45+55=100"
] | Current State: 100:[35, 10, 19, 74], Operations: []
Exploring Operation: 35+10=45, Resulting Numbers: [19, 74, 45]
Generated Node #2: [19, 74, 45] from Operation: 35+10=45
Current State: 100:[19, 74, 45], Operations: ['35+10=45']
Exploring Operation: 74-19=55, Resulting Numbers: [45, 55]
Generated Node #3: [45, 55] from Operation: 74-19=55
Current State: 100:[45, 55], Operations: ['35+10=45', '74-19=55']
Exploring Operation: 45+55=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
6,
60,
56,
89
] | 21 | [
"60-6=54",
"89-56=33",
"54-33=21"
] | Current State: 21:[6, 60, 56, 89], Operations: []
Exploring Operation: 60-6=54, Resulting Numbers: [56, 89, 54]
Generated Node #2: [56, 89, 54] from Operation: 60-6=54
Current State: 21:[56, 89, 54], Operations: ['60-6=54']
Exploring Operation: 89-56=33, Resulting Numbers: [54, 33]
Generated Node #3: [54, 33] from Operation: 89-56=33
Current State: 21:[54, 33], Operations: ['60-6=54', '89-56=33']
Exploring Operation: 54-33=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
84,
53,
79,
60
] | 50 | [
"84-53=31",
"79-60=19",
"31+19=50"
] | Current State: 50:[84, 53, 79, 60], Operations: []
Exploring Operation: 84-53=31, Resulting Numbers: [79, 60, 31]
Generated Node #2: [79, 60, 31] from Operation: 84-53=31
Current State: 50:[79, 60, 31], Operations: ['84-53=31']
Exploring Operation: 79-60=19, Resulting Numbers: [31, 19]
Generated Node #3: [31, 19] from Operation: 79-60=19
Current State: 50:[31, 19], Operations: ['84-53=31', '79-60=19']
Exploring Operation: 31+19=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
58,
90,
6,
10
] | 73 | [
"58+6=64",
"90/10=9",
"64+9=73"
] | Current State: 73:[58, 90, 6, 10], Operations: []
Exploring Operation: 58+6=64, Resulting Numbers: [90, 10, 64]
Generated Node #2: [90, 10, 64] from Operation: 58+6=64
Current State: 73:[90, 10, 64], Operations: ['58+6=64']
Exploring Operation: 90/10=9, Resulting Numbers: [64, 9]
Generated Node #3: [64, 9] from Operation: 90/10=9
Current State: 73:[64, 9], Operations: ['58+6=64', '90/10=9']
Exploring Operation: 64+9=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
97,
86,
9,
37
] | 62 | [
"97-86=11",
"9*11=99",
"99-37=62"
] | Current State: 62:[97, 86, 9, 37], Operations: []
Exploring Operation: 97-86=11, Resulting Numbers: [9, 37, 11]
Generated Node #2: [9, 37, 11] from Operation: 97-86=11
Current State: 62:[9, 37, 11], Operations: ['97-86=11']
Exploring Operation: 9*11=99, Resulting Numbers: [37, 99]
Generated Node #3: [37, 99] from Operation: 9*11=99
Current State: 62:[37, 99], Operations: ['97-86=11', '9*11=99']
Exploring Operation: 99-37=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
5,
64,
46,
49
] | 62 | [
"64-5=59",
"49-46=3",
"59+3=62"
] | Current State: 62:[5, 64, 46, 49], Operations: []
Exploring Operation: 64-5=59, Resulting Numbers: [46, 49, 59]
Generated Node #2: [46, 49, 59] from Operation: 64-5=59
Current State: 62:[46, 49, 59], Operations: ['64-5=59']
Exploring Operation: 49-46=3, Resulting Numbers: [59, 3]
Generated Node #3: [59, 3] from Operation: 49-46=3
Current State: 62:[59, 3], Operations: ['64-5=59', '49-46=3']
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
53,
55,
57,
93
] | 20 | [
"93-53=40",
"57-55=2",
"40/2=20"
] | Current State: 20:[53, 55, 57, 93], Operations: []
Exploring Operation: 93-53=40, Resulting Numbers: [55, 57, 40]
Generated Node #2: [55, 57, 40] from Operation: 93-53=40
Current State: 20:[55, 57, 40], Operations: ['93-53=40']
Exploring Operation: 57-55=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 57-55=2
Current State: 20:[40, 2], Operations: ['93-53=40', '57-55=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
31,
46,
17,
34
] | 54 | [
"46*17=782",
"782/34=23",
"31+23=54"
] | Current State: 54:[31, 46, 17, 34], Operations: []
Exploring Operation: 46*17=782, Resulting Numbers: [31, 34, 782]
Generated Node #2: [31, 34, 782] from Operation: 46*17=782
Current State: 54:[31, 34, 782], Operations: ['46*17=782']
Exploring Operation: 782/34=23, Resulting Numbers: [31, 23]
Generated Node #3: [31, 23] from Operation: 782/34=23
Current State: 54:[31, 23], Operations: ['46*17=782', '782/34=23']
Exploring Operation: 31+23=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
84,
36,
28,
70
] | 78 | [
"84+36=120",
"70-28=42",
"120-42=78"
] | Current State: 78:[84, 36, 28, 70], Operations: []
Exploring Operation: 84+36=120, Resulting Numbers: [28, 70, 120]
Generated Node #2: [28, 70, 120] from Operation: 84+36=120
Current State: 78:[28, 70, 120], Operations: ['84+36=120']
Exploring Operation: 70-28=42, Resulting Numbers: [120, 42]
Generated Node #3: [120, 42] from Operation: 70-28=42
Current State: 78:[120, 42], Operations: ['84+36=120', '70-28=42']
Exploring Operation: 120-42=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
17,
25,
6,
82
] | 15 | [
"25-17=8",
"82+8=90",
"90/6=15"
] | Current State: 15:[17, 25, 6, 82], Operations: []
Exploring Operation: 25-17=8, Resulting Numbers: [6, 82, 8]
Generated Node #2: [6, 82, 8] from Operation: 25-17=8
Current State: 15:[6, 82, 8], Operations: ['25-17=8']
Exploring Operation: 82+8=90, Resulting Numbers: [6, 90]
Generated Node #3: [6, 90] from Operation: 82+8=90
Current State: 15:[6, 90], Operations: ['25-17=8', '82+8=90']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
29,
28,
24,
14
] | 98 | [
"29-24=5",
"14*5=70",
"28+70=98"
] | Current State: 98:[29, 28, 24, 14], Operations: []
Exploring Operation: 29-24=5, Resulting Numbers: [28, 14, 5]
Generated Node #2: [28, 14, 5] from Operation: 29-24=5
Current State: 98:[28, 14, 5], Operations: ['29-24=5']
Exploring Operation: 14*5=70, Resulting Numbers: [28, 70]
Generated Node #3: [28, 70] from Operation: 14*5=70
Current State: 98:[28, 70], Operations: ['29-24=5', '14*5=70']
Exploring Operation: 28+70=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
14,
49,
84,
8
] | 22 | [
"49*8=392",
"392-84=308",
"308/14=22"
] | Current State: 22:[14, 49, 84, 8], Operations: []
Exploring Operation: 49*8=392, Resulting Numbers: [14, 84, 392]
Generated Node #2: [14, 84, 392] from Operation: 49*8=392
Current State: 22:[14, 84, 392], Operations: ['49*8=392']
Exploring Operation: 392-84=308, Resulting Numbers: [14, 308]
Generated Node #3: [14, 308] from Operation: 392-84=308
Current State: 22:[14, 308], Operations: ['49*8=392', '392-84=308']
Exploring Operation: 308/14=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
3,
96,
90,
28
] | 10 | [
"96-90=6",
"3*6=18",
"28-18=10"
] | Current State: 10:[3, 96, 90, 28], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [3, 28, 6]
Generated Node #2: [3, 28, 6] from Operation: 96-90=6
Current State: 10:[3, 28, 6], Operations: ['96-90=6']
Exploring Operation: 3*6=18, Resulting Numbers: [28, 18]
Generated Node #3: [28, 18] from Operation: 3*6=18
Current State: 10:[28, 18], Operations: ['96-90=6', '3*6=18']
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
62,
4,
98,
23
] | 17 | [
"62-4=58",
"98-23=75",
"75-58=17"
] | Current State: 17:[62, 4, 98, 23], Operations: []
Exploring Operation: 62-4=58, Resulting Numbers: [98, 23, 58]
Generated Node #2: [98, 23, 58] from Operation: 62-4=58
Current State: 17:[98, 23, 58], Operations: ['62-4=58']
Exploring Operation: 98-23=75, Resulting Numbers: [58, 75]
Generated Node #3: [58, 75] from Operation: 98-23=75
Current State: 17:[58, 75], Operations: ['62-4=58', '98-23=75']
Exploring Operation: 75-58=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
62,
19,
64,
32
] | 26 | [
"64-62=2",
"32-19=13",
"2*13=26"
] | Current State: 26:[62, 19, 64, 32], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [19, 32, 2]
Generated Node #2: [19, 32, 2] from Operation: 64-62=2
Current State: 26:[19, 32, 2], Operations: ['64-62=2']
Exploring Operation: 32-19=13, Resulting Numbers: [2, 13]
Generated Node #3: [2, 13] from Operation: 32-19=13
Current State: 26:[2, 13], Operations: ['64-62=2', '32-19=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
42,
82,
56,
67
] | 29 | [
"82-42=40",
"67-56=11",
"40-11=29"
] | Current State: 29:[42, 82, 56, 67], Operations: []
Exploring Operation: 82-42=40, Resulting Numbers: [56, 67, 40]
Generated Node #2: [56, 67, 40] from Operation: 82-42=40
Current State: 29:[56, 67, 40], Operations: ['82-42=40']
Exploring Operation: 67-56=11, Resulting Numbers: [40, 11]
Generated Node #3: [40, 11] from Operation: 67-56=11
Current State: 29:[40, 11], Operations: ['82-42=40', '67-56=11']
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
60,
29,
21,
87
] | 78 | [
"60+21=81",
"87/29=3",
"81-3=78"
] | Current State: 78:[60, 29, 21, 87], Operations: []
Exploring Operation: 60+21=81, Resulting Numbers: [29, 87, 81]
Generated Node #2: [29, 87, 81] from Operation: 60+21=81
Current State: 78:[29, 87, 81], Operations: ['60+21=81']
Exploring Operation: 87/29=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 87/29=3
Current State: 78:[81, 3], Operations: ['60+21=81', '87/29=3']
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
44,
43,
22,
24
] | 42 | [
"24-22=2",
"43*2=86",
"86-44=42"
] | Current State: 42:[44, 43, 22, 24], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [44, 43, 2]
Generated Node #2: [44, 43, 2] from Operation: 24-22=2
Current State: 42:[44, 43, 2], Operations: ['24-22=2']
Exploring Operation: 43*2=86, Resulting Numbers: [44, 86]
Generated Node #3: [44, 86] from Operation: 43*2=86
Current State: 42:[44, 86], Operations: ['24-22=2', '43*2=86']
Exploring Operation: 86-44=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
41,
62,
25,
35
] | 43 | [
"41+62=103",
"25+35=60",
"103-60=43"
] | Current State: 43:[41, 62, 25, 35], Operations: []
Exploring Operation: 41+62=103, Resulting Numbers: [25, 35, 103]
Generated Node #2: [25, 35, 103] from Operation: 41+62=103
Current State: 43:[25, 35, 103], Operations: ['41+62=103']
Exploring Operation: 25+35=60, Resulting Numbers: [103, 60]
Generated Node #3: [103, 60] from Operation: 25+35=60
Current State: 43:[103, 60], Operations: ['41+62=103', '25+35=60']
Exploring Operation: 103-60=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
39,
12,
3,
10
] | 91 | [
"39-12=27",
"3*27=81",
"10+81=91"
] | Current State: 91:[39, 12, 3, 10], Operations: []
Exploring Operation: 39-12=27, Resulting Numbers: [3, 10, 27]
Generated Node #2: [3, 10, 27] from Operation: 39-12=27
Current State: 91:[3, 10, 27], Operations: ['39-12=27']
Exploring Operation: 3*27=81, Resulting Numbers: [10, 81]
Generated Node #3: [10, 81] from Operation: 3*27=81
Current State: 91:[10, 81], Operations: ['39-12=27', '3*27=81']
Exploring Operation: 10+81=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
27,
61,
3,
42
] | 95 | [
"61*42=2562",
"3+2562=2565",
"2565/27=95"
] | Current State: 95:[27, 61, 3, 42], Operations: []
Exploring Operation: 61*42=2562, Resulting Numbers: [27, 3, 2562]
Generated Node #2: [27, 3, 2562] from Operation: 61*42=2562
Current State: 95:[27, 3, 2562], Operations: ['61*42=2562']
Exploring Operation: 3+2562=2565, Resulting Numbers: [27, 2565]
Generated Node #3: [27, 2565] from Operation: 3+2562=2565
Current State: 95:[27, 2565], Operations: ['61*42=2562', '3+2562=2565']
Exploring Operation: 2565/27=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
63,
40,
88,
4
] | 30 | [
"63*40=2520",
"88-4=84",
"2520/84=30"
] | Current State: 30:[63, 40, 88, 4], Operations: []
Exploring Operation: 63*40=2520, Resulting Numbers: [88, 4, 2520]
Generated Node #2: [88, 4, 2520] from Operation: 63*40=2520
Current State: 30:[88, 4, 2520], Operations: ['63*40=2520']
Exploring Operation: 88-4=84, Resulting Numbers: [2520, 84]
Generated Node #3: [2520, 84] from Operation: 88-4=84
Current State: 30:[2520, 84], Operations: ['63*40=2520', '88-4=84']
Exploring Operation: 2520/84=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
50,
73,
39,
70
] | 80 | [
"73+39=112",
"50*112=5600",
"5600/70=80"
] | Current State: 80:[50, 73, 39, 70], Operations: []
Exploring Operation: 73+39=112, Resulting Numbers: [50, 70, 112]
Generated Node #2: [50, 70, 112] from Operation: 73+39=112
Current State: 80:[50, 70, 112], Operations: ['73+39=112']
Exploring Operation: 50*112=5600, Resulting Numbers: [70, 5600]
Generated Node #3: [70, 5600] from Operation: 50*112=5600
Current State: 80:[70, 5600], Operations: ['73+39=112', '50*112=5600']
Exploring Operation: 5600/70=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
36,
32,
13,
11
] | 63 | [
"36-32=4",
"13*4=52",
"11+52=63"
] | Current State: 63:[36, 32, 13, 11], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [13, 11, 4]
Generated Node #2: [13, 11, 4] from Operation: 36-32=4
Current State: 63:[13, 11, 4], Operations: ['36-32=4']
Exploring Operation: 13*4=52, Resulting Numbers: [11, 52]
Generated Node #3: [11, 52] from Operation: 13*4=52
Current State: 63:[11, 52], Operations: ['36-32=4', '13*4=52']
Exploring Operation: 11+52=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
88,
32,
8,
20
] | 83 | [
"32/8=4",
"20/4=5",
"88-5=83"
] | Current State: 83:[88, 32, 8, 20], Operations: []
Exploring Operation: 32/8=4, Resulting Numbers: [88, 20, 4]
Generated Node #2: [88, 20, 4] from Operation: 32/8=4
Current State: 83:[88, 20, 4], Operations: ['32/8=4']
Exploring Operation: 20/4=5, Resulting Numbers: [88, 5]
Generated Node #3: [88, 5] from Operation: 20/4=5
Current State: 83:[88, 5], Operations: ['32/8=4', '20/4=5']
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
40,
4,
68,
32
] | 17 | [
"40-4=36",
"36-32=4",
"68/4=17"
] | Current State: 17:[40, 4, 68, 32], Operations: []
Exploring Operation: 40-4=36, Resulting Numbers: [68, 32, 36]
Generated Node #2: [68, 32, 36] from Operation: 40-4=36
Current State: 17:[68, 32, 36], Operations: ['40-4=36']
Exploring Operation: 36-32=4, Resulting Numbers: [68, 4]
Generated Node #3: [68, 4] from Operation: 36-32=4
Current State: 17:[68, 4], Operations: ['40-4=36', '36-32=4']
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
51,
4,
60,
59
] | 56 | [
"51+4=55",
"60-59=1",
"55+1=56"
] | Current State: 56:[51, 4, 60, 59], Operations: []
Exploring Operation: 51+4=55, Resulting Numbers: [60, 59, 55]
Generated Node #2: [60, 59, 55] from Operation: 51+4=55
Current State: 56:[60, 59, 55], Operations: ['51+4=55']
Exploring Operation: 60-59=1, Resulting Numbers: [55, 1]
Generated Node #3: [55, 1] from Operation: 60-59=1
Current State: 56:[55, 1], Operations: ['51+4=55', '60-59=1']
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
48,
18,
46,
32
] | 73 | [
"48*18=864",
"864/32=27",
"46+27=73"
] | Current State: 73:[48, 18, 46, 32], Operations: []
Exploring Operation: 48*18=864, Resulting Numbers: [46, 32, 864]
Generated Node #2: [46, 32, 864] from Operation: 48*18=864
Current State: 73:[46, 32, 864], Operations: ['48*18=864']
Exploring Operation: 864/32=27, Resulting Numbers: [46, 27]
Generated Node #3: [46, 27] from Operation: 864/32=27
Current State: 73:[46, 27], Operations: ['48*18=864', '864/32=27']
Exploring Operation: 46+27=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
37,
21,
76,
59
] | 41 | [
"37+21=58",
"76-59=17",
"58-17=41"
] | Current State: 41:[37, 21, 76, 59], Operations: []
Exploring Operation: 37+21=58, Resulting Numbers: [76, 59, 58]
Generated Node #2: [76, 59, 58] from Operation: 37+21=58
Current State: 41:[76, 59, 58], Operations: ['37+21=58']
Exploring Operation: 76-59=17, Resulting Numbers: [58, 17]
Generated Node #3: [58, 17] from Operation: 76-59=17
Current State: 41:[58, 17], Operations: ['37+21=58', '76-59=17']
Exploring Operation: 58-17=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
97,
25,
26,
37
] | 60 | [
"97-37=60",
"26-25=1",
"60*1=60"
] | Current State: 60:[97, 25, 26, 37], Operations: []
Exploring Operation: 97-37=60, Resulting Numbers: [25, 26, 60]
Generated Node #2: [25, 26, 60] from Operation: 97-37=60
Current State: 60:[25, 26, 60], Operations: ['97-37=60']
Exploring Operation: 26-25=1, Resulting Numbers: [60, 1]
Generated Node #3: [60, 1] from Operation: 26-25=1
Current State: 60:[60, 1], Operations: ['97-37=60', '26-25=1']
Exploring Operation: 60*1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
35,
26,
35,
73
] | 26 | [
"35-35=0",
"73*0=0",
"26+0=26"
] | Current State: 26:[35, 26, 35, 73], Operations: []
Exploring Operation: 35-35=0, Resulting Numbers: [26, 73, 0]
Generated Node #2: [26, 73, 0] from Operation: 35-35=0
Current State: 26:[26, 73, 0], Operations: ['35-35=0']
Exploring Operation: 73*0=0, Resulting Numbers: [26, 0]
Generated Node #3: [26, 0] from Operation: 73*0=0
Current State: 26:[26, 0], Operations: ['35-35=0', '73*0=0']
Exploring Operation: 26+0=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
14,
13,
5,
82
] | 77 | [
"14-13=1",
"82-5=77",
"1*77=77"
] | Current State: 77:[14, 13, 5, 82], Operations: []
Exploring Operation: 14-13=1, Resulting Numbers: [5, 82, 1]
Generated Node #2: [5, 82, 1] from Operation: 14-13=1
Current State: 77:[5, 82, 1], Operations: ['14-13=1']
Exploring Operation: 82-5=77, Resulting Numbers: [1, 77]
Generated Node #3: [1, 77] from Operation: 82-5=77
Current State: 77:[1, 77], Operations: ['14-13=1', '82-5=77']
Exploring Operation: 1*77=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
20,
40,
3,
44
] | 25 | [
"40/20=2",
"44/2=22",
"3+22=25"
] | Current State: 25:[20, 40, 3, 44], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [3, 44, 2]
Generated Node #2: [3, 44, 2] from Operation: 40/20=2
Current State: 25:[3, 44, 2], Operations: ['40/20=2']
Exploring Operation: 44/2=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 44/2=22
Current State: 25:[3, 22], Operations: ['40/20=2', '44/2=22']
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
5,
43,
57,
9
] | 56 | [
"9-5=4",
"57-43=14",
"4*14=56"
] | Current State: 56:[5, 43, 57, 9], Operations: []
Exploring Operation: 9-5=4, Resulting Numbers: [43, 57, 4]
Generated Node #2: [43, 57, 4] from Operation: 9-5=4
Current State: 56:[43, 57, 4], Operations: ['9-5=4']
Exploring Operation: 57-43=14, Resulting Numbers: [4, 14]
Generated Node #3: [4, 14] from Operation: 57-43=14
Current State: 56:[4, 14], Operations: ['9-5=4', '57-43=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
95,
45,
60,
2
] | 55 | [
"95-45=50",
"60+50=110",
"110/2=55"
] | Current State: 55:[95, 45, 60, 2], Operations: []
Exploring Operation: 95-45=50, Resulting Numbers: [60, 2, 50]
Generated Node #2: [60, 2, 50] from Operation: 95-45=50
Current State: 55:[60, 2, 50], Operations: ['95-45=50']
Exploring Operation: 60+50=110, Resulting Numbers: [2, 110]
Generated Node #3: [2, 110] from Operation: 60+50=110
Current State: 55:[2, 110], Operations: ['95-45=50', '60+50=110']
Exploring Operation: 110/2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
31,
35,
19,
14
] | 61 | [
"31+35=66",
"19-14=5",
"66-5=61"
] | Current State: 61:[31, 35, 19, 14], Operations: []
Exploring Operation: 31+35=66, Resulting Numbers: [19, 14, 66]
Generated Node #2: [19, 14, 66] from Operation: 31+35=66
Current State: 61:[19, 14, 66], Operations: ['31+35=66']
Exploring Operation: 19-14=5, Resulting Numbers: [66, 5]
Generated Node #3: [66, 5] from Operation: 19-14=5
Current State: 61:[66, 5], Operations: ['31+35=66', '19-14=5']
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
45,
65,
28,
62
] | 39 | [
"65-62=3",
"28*3=84",
"84-45=39"
] | Current State: 39:[45, 65, 28, 62], Operations: []
Exploring Operation: 65-62=3, Resulting Numbers: [45, 28, 3]
Generated Node #2: [45, 28, 3] from Operation: 65-62=3
Current State: 39:[45, 28, 3], Operations: ['65-62=3']
Exploring Operation: 28*3=84, Resulting Numbers: [45, 84]
Generated Node #3: [45, 84] from Operation: 28*3=84
Current State: 39:[45, 84], Operations: ['65-62=3', '28*3=84']
Exploring Operation: 84-45=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
88,
22,
52,
29
] | 88 | [
"52-22=30",
"30-29=1",
"88*1=88"
] | Current State: 88:[88, 22, 52, 29], Operations: []
Exploring Operation: 52-22=30, Resulting Numbers: [88, 29, 30]
Generated Node #2: [88, 29, 30] from Operation: 52-22=30
Current State: 88:[88, 29, 30], Operations: ['52-22=30']
Exploring Operation: 30-29=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 30-29=1
Current State: 88:[88, 1], Operations: ['52-22=30', '30-29=1']
Exploring Operation: 88*1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
72,
29,
56,
50
] | 95 | [
"72+29=101",
"56-50=6",
"101-6=95"
] | Current State: 95:[72, 29, 56, 50], Operations: []
Exploring Operation: 72+29=101, Resulting Numbers: [56, 50, 101]
Generated Node #2: [56, 50, 101] from Operation: 72+29=101
Current State: 95:[56, 50, 101], Operations: ['72+29=101']
Exploring Operation: 56-50=6, Resulting Numbers: [101, 6]
Generated Node #3: [101, 6] from Operation: 56-50=6
Current State: 95:[101, 6], Operations: ['72+29=101', '56-50=6']
Exploring Operation: 101-6=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
45,
20,
24,
34
] | 34 | [
"45-20=25",
"25-24=1",
"34*1=34"
] | Current State: 34:[45, 20, 24, 34], Operations: []
Exploring Operation: 45-20=25, Resulting Numbers: [24, 34, 25]
Generated Node #2: [24, 34, 25] from Operation: 45-20=25
Current State: 34:[24, 34, 25], Operations: ['45-20=25']
Exploring Operation: 25-24=1, Resulting Numbers: [34, 1]
Generated Node #3: [34, 1] from Operation: 25-24=1
Current State: 34:[34, 1], Operations: ['45-20=25', '25-24=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
65,
15,
31,
34
] | 20 | [
"34-31=3",
"15*3=45",
"65-45=20"
] | Current State: 20:[65, 15, 31, 34], Operations: []
Exploring Operation: 34-31=3, Resulting Numbers: [65, 15, 3]
Generated Node #2: [65, 15, 3] from Operation: 34-31=3
Current State: 20:[65, 15, 3], Operations: ['34-31=3']
Exploring Operation: 15*3=45, Resulting Numbers: [65, 45]
Generated Node #3: [65, 45] from Operation: 15*3=45
Current State: 20:[65, 45], Operations: ['34-31=3', '15*3=45']
Exploring Operation: 65-45=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
33,
55,
76,
15
] | 69 | [
"55-33=22",
"76+15=91",
"91-22=69"
] | Current State: 69:[33, 55, 76, 15], Operations: []
Exploring Operation: 55-33=22, Resulting Numbers: [76, 15, 22]
Generated Node #2: [76, 15, 22] from Operation: 55-33=22
Current State: 69:[76, 15, 22], Operations: ['55-33=22']
Exploring Operation: 76+15=91, Resulting Numbers: [22, 91]
Generated Node #3: [22, 91] from Operation: 76+15=91
Current State: 69:[22, 91], Operations: ['55-33=22', '76+15=91']
Exploring Operation: 91-22=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
60,
15,
30,
38
] | 21 | [
"60/30=2",
"38-15=23",
"23-2=21"
] | Current State: 21:[60, 15, 30, 38], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [15, 38, 2]
Generated Node #2: [15, 38, 2] from Operation: 60/30=2
Current State: 21:[15, 38, 2], Operations: ['60/30=2']
Exploring Operation: 38-15=23, Resulting Numbers: [2, 23]
Generated Node #3: [2, 23] from Operation: 38-15=23
Current State: 21:[2, 23], Operations: ['60/30=2', '38-15=23']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
73,
38,
44,
92
] | 42 | [
"92-73=19",
"38/19=2",
"44-2=42"
] | Current State: 42:[73, 38, 44, 92], Operations: []
Exploring Operation: 92-73=19, Resulting Numbers: [38, 44, 19]
Generated Node #2: [38, 44, 19] from Operation: 92-73=19
Current State: 42:[38, 44, 19], Operations: ['92-73=19']
Exploring Operation: 38/19=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 38/19=2
Current State: 42:[44, 2], Operations: ['92-73=19', '38/19=2']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
15,
85,
68,
31
] | 19 | [
"15*68=1020",
"1020/85=12",
"31-12=19"
] | Current State: 19:[15, 85, 68, 31], Operations: []
Exploring Operation: 15*68=1020, Resulting Numbers: [85, 31, 1020]
Generated Node #2: [85, 31, 1020] from Operation: 15*68=1020
Current State: 19:[85, 31, 1020], Operations: ['15*68=1020']
Exploring Operation: 1020/85=12, Resulting Numbers: [31, 12]
Generated Node #3: [31, 12] from Operation: 1020/85=12
Current State: 19:[31, 12], Operations: ['15*68=1020', '1020/85=12']
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
69,
4,
48,
94
] | 52 | [
"94-69=25",
"4*25=100",
"100-48=52"
] | Current State: 52:[69, 4, 48, 94], Operations: []
Exploring Operation: 94-69=25, Resulting Numbers: [4, 48, 25]
Generated Node #2: [4, 48, 25] from Operation: 94-69=25
Current State: 52:[4, 48, 25], Operations: ['94-69=25']
Exploring Operation: 4*25=100, Resulting Numbers: [48, 100]
Generated Node #3: [48, 100] from Operation: 4*25=100
Current State: 52:[48, 100], Operations: ['94-69=25', '4*25=100']
Exploring Operation: 100-48=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
74,
30,
14,
58
] | 56 | [
"74-14=60",
"60/30=2",
"58-2=56"
] | Current State: 56:[74, 30, 14, 58], Operations: []
Exploring Operation: 74-14=60, Resulting Numbers: [30, 58, 60]
Generated Node #2: [30, 58, 60] from Operation: 74-14=60
Current State: 56:[30, 58, 60], Operations: ['74-14=60']
Exploring Operation: 60/30=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 60/30=2
Current State: 56:[58, 2], Operations: ['74-14=60', '60/30=2']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
11,
33,
1,
6
] | 37 | [
"11+33=44",
"1+6=7",
"44-7=37"
] | Current State: 37:[11, 33, 1, 6], Operations: []
Exploring Operation: 11+33=44, Resulting Numbers: [1, 6, 44]
Generated Node #2: [1, 6, 44] from Operation: 11+33=44
Current State: 37:[1, 6, 44], Operations: ['11+33=44']
Exploring Operation: 1+6=7, Resulting Numbers: [44, 7]
Generated Node #3: [44, 7] from Operation: 1+6=7
Current State: 37:[44, 7], Operations: ['11+33=44', '1+6=7']
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
15,
32,
33,
84
] | 76 | [
"32*33=1056",
"84+1056=1140",
"1140/15=76"
] | Current State: 76:[15, 32, 33, 84], Operations: []
Exploring Operation: 32*33=1056, Resulting Numbers: [15, 84, 1056]
Generated Node #2: [15, 84, 1056] from Operation: 32*33=1056
Current State: 76:[15, 84, 1056], Operations: ['32*33=1056']
Exploring Operation: 84+1056=1140, Resulting Numbers: [15, 1140]
Generated Node #3: [15, 1140] from Operation: 84+1056=1140
Current State: 76:[15, 1140], Operations: ['32*33=1056', '84+1056=1140']
Exploring Operation: 1140/15=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
89,
40,
2,
52
] | 23 | [
"89-40=49",
"52/2=26",
"49-26=23"
] | Current State: 23:[89, 40, 2, 52], Operations: []
Exploring Operation: 89-40=49, Resulting Numbers: [2, 52, 49]
Generated Node #2: [2, 52, 49] from Operation: 89-40=49
Current State: 23:[2, 52, 49], Operations: ['89-40=49']
Exploring Operation: 52/2=26, Resulting Numbers: [49, 26]
Generated Node #3: [49, 26] from Operation: 52/2=26
Current State: 23:[49, 26], Operations: ['89-40=49', '52/2=26']
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
3,
27,
48,
45
] | 75 | [
"48-3=45",
"45*45=2025",
"2025/27=75"
] | Current State: 75:[3, 27, 48, 45], Operations: []
Exploring Operation: 48-3=45, Resulting Numbers: [27, 45, 45]
Generated Node #2: [27, 45, 45] from Operation: 48-3=45
Current State: 75:[27, 45, 45], Operations: ['48-3=45']
Exploring Operation: 45*45=2025, Resulting Numbers: [27, 2025]
Generated Node #3: [27, 2025] from Operation: 45*45=2025
Current State: 75:[27, 2025], Operations: ['48-3=45', '45*45=2025']
Exploring Operation: 2025/27=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
35,
29,
12,
79
] | 27 | [
"35+29=64",
"12+79=91",
"91-64=27"
] | Current State: 27:[35, 29, 12, 79], Operations: []
Exploring Operation: 35+29=64, Resulting Numbers: [12, 79, 64]
Generated Node #2: [12, 79, 64] from Operation: 35+29=64
Current State: 27:[12, 79, 64], Operations: ['35+29=64']
Exploring Operation: 12+79=91, Resulting Numbers: [64, 91]
Generated Node #3: [64, 91] from Operation: 12+79=91
Current State: 27:[64, 91], Operations: ['35+29=64', '12+79=91']
Exploring Operation: 91-64=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
1,
94,
3,
35
] | 82 | [
"3-1=2",
"94/2=47",
"35+47=82"
] | Current State: 82:[1, 94, 3, 35], Operations: []
Exploring Operation: 3-1=2, Resulting Numbers: [94, 35, 2]
Generated Node #2: [94, 35, 2] from Operation: 3-1=2
Current State: 82:[94, 35, 2], Operations: ['3-1=2']
Exploring Operation: 94/2=47, Resulting Numbers: [35, 47]
Generated Node #3: [35, 47] from Operation: 94/2=47
Current State: 82:[35, 47], Operations: ['3-1=2', '94/2=47']
Exploring Operation: 35+47=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
16,
69,
9,
20
] | 48 | [
"69-9=60",
"16*60=960",
"960/20=48"
] | Current State: 48:[16, 69, 9, 20], Operations: []
Exploring Operation: 69-9=60, Resulting Numbers: [16, 20, 60]
Generated Node #2: [16, 20, 60] from Operation: 69-9=60
Current State: 48:[16, 20, 60], Operations: ['69-9=60']
Exploring Operation: 16*60=960, Resulting Numbers: [20, 960]
Generated Node #3: [20, 960] from Operation: 16*60=960
Current State: 48:[20, 960], Operations: ['69-9=60', '16*60=960']
Exploring Operation: 960/20=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
96,
98,
82,
93
] | 70 | [
"96-82=14",
"98-93=5",
"14*5=70"
] | Current State: 70:[96, 98, 82, 93], Operations: []
Exploring Operation: 96-82=14, Resulting Numbers: [98, 93, 14]
Generated Node #2: [98, 93, 14] from Operation: 96-82=14
Current State: 70:[98, 93, 14], Operations: ['96-82=14']
Exploring Operation: 98-93=5, Resulting Numbers: [14, 5]
Generated Node #3: [14, 5] from Operation: 98-93=5
Current State: 70:[14, 5], Operations: ['96-82=14', '98-93=5']
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
24,
46,
20,
38
] | 76 | [
"46-24=22",
"22-20=2",
"38*2=76"
] | Current State: 76:[24, 46, 20, 38], Operations: []
Exploring Operation: 46-24=22, Resulting Numbers: [20, 38, 22]
Generated Node #2: [20, 38, 22] from Operation: 46-24=22
Current State: 76:[20, 38, 22], Operations: ['46-24=22']
Exploring Operation: 22-20=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 22-20=2
Current State: 76:[38, 2], Operations: ['46-24=22', '22-20=2']
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
77,
32,
99,
23
] | 31 | [
"77-32=45",
"99-23=76",
"76-45=31"
] | Current State: 31:[77, 32, 99, 23], Operations: []
Exploring Operation: 77-32=45, Resulting Numbers: [99, 23, 45]
Generated Node #2: [99, 23, 45] from Operation: 77-32=45
Current State: 31:[99, 23, 45], Operations: ['77-32=45']
Exploring Operation: 99-23=76, Resulting Numbers: [45, 76]
Generated Node #3: [45, 76] from Operation: 99-23=76
Current State: 31:[45, 76], Operations: ['77-32=45', '99-23=76']
Exploring Operation: 76-45=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
95,
21,
57,
40
] | 42 | [
"95-57=38",
"40-38=2",
"21*2=42"
] | Current State: 42:[95, 21, 57, 40], Operations: []
Exploring Operation: 95-57=38, Resulting Numbers: [21, 40, 38]
Generated Node #2: [21, 40, 38] from Operation: 95-57=38
Current State: 42:[21, 40, 38], Operations: ['95-57=38']
Exploring Operation: 40-38=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 40-38=2
Current State: 42:[21, 2], Operations: ['95-57=38', '40-38=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
44,
5,
89,
84
] | 97 | [
"84-44=40",
"40/5=8",
"89+8=97"
] | Current State: 97:[44, 5, 89, 84], Operations: []
Exploring Operation: 84-44=40, Resulting Numbers: [5, 89, 40]
Generated Node #2: [5, 89, 40] from Operation: 84-44=40
Current State: 97:[5, 89, 40], Operations: ['84-44=40']
Exploring Operation: 40/5=8, Resulting Numbers: [89, 8]
Generated Node #3: [89, 8] from Operation: 40/5=8
Current State: 97:[89, 8], Operations: ['84-44=40', '40/5=8']
Exploring Operation: 89+8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
23,
60,
25,
94
] | 26 | [
"25-23=2",
"60*2=120",
"120-94=26"
] | Current State: 26:[23, 60, 25, 94], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [60, 94, 2]
Generated Node #2: [60, 94, 2] from Operation: 25-23=2
Current State: 26:[60, 94, 2], Operations: ['25-23=2']
Exploring Operation: 60*2=120, Resulting Numbers: [94, 120]
Generated Node #3: [94, 120] from Operation: 60*2=120
Current State: 26:[94, 120], Operations: ['25-23=2', '60*2=120']
Exploring Operation: 120-94=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
10,
98,
34,
3
] | 18 | [
"98-10=88",
"88-34=54",
"54/3=18"
] | Current State: 18:[10, 98, 34, 3], Operations: []
Exploring Operation: 98-10=88, Resulting Numbers: [34, 3, 88]
Generated Node #2: [34, 3, 88] from Operation: 98-10=88
Current State: 18:[34, 3, 88], Operations: ['98-10=88']
Exploring Operation: 88-34=54, Resulting Numbers: [3, 54]
Generated Node #3: [3, 54] from Operation: 88-34=54
Current State: 18:[3, 54], Operations: ['98-10=88', '88-34=54']
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
5,
32,
14,
45
] | 79 | [
"45-32=13",
"5*13=65",
"14+65=79"
] | Current State: 79:[5, 32, 14, 45], Operations: []
Exploring Operation: 45-32=13, Resulting Numbers: [5, 14, 13]
Generated Node #2: [5, 14, 13] from Operation: 45-32=13
Current State: 79:[5, 14, 13], Operations: ['45-32=13']
Exploring Operation: 5*13=65, Resulting Numbers: [14, 65]
Generated Node #3: [14, 65] from Operation: 5*13=65
Current State: 79:[14, 65], Operations: ['45-32=13', '5*13=65']
Exploring Operation: 14+65=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
11,
43,
96,
69
] | 59 | [
"43-11=32",
"96-69=27",
"32+27=59"
] | Current State: 59:[11, 43, 96, 69], Operations: []
Exploring Operation: 43-11=32, Resulting Numbers: [96, 69, 32]
Generated Node #2: [96, 69, 32] from Operation: 43-11=32
Current State: 59:[96, 69, 32], Operations: ['43-11=32']
Exploring Operation: 96-69=27, Resulting Numbers: [32, 27]
Generated Node #3: [32, 27] from Operation: 96-69=27
Current State: 59:[32, 27], Operations: ['43-11=32', '96-69=27']
Exploring Operation: 32+27=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
54,
7,
9,
40
] | 78 | [
"54-7=47",
"40-9=31",
"47+31=78"
] | Current State: 78:[54, 7, 9, 40], Operations: []
Exploring Operation: 54-7=47, Resulting Numbers: [9, 40, 47]
Generated Node #2: [9, 40, 47] from Operation: 54-7=47
Current State: 78:[9, 40, 47], Operations: ['54-7=47']
Exploring Operation: 40-9=31, Resulting Numbers: [47, 31]
Generated Node #3: [47, 31] from Operation: 40-9=31
Current State: 78:[47, 31], Operations: ['54-7=47', '40-9=31']
Exploring Operation: 47+31=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
28,
5,
19,
30
] | 43 | [
"30-28=2",
"19*2=38",
"5+38=43"
] | Current State: 43:[28, 5, 19, 30], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [5, 19, 2]
Generated Node #2: [5, 19, 2] from Operation: 30-28=2
Current State: 43:[5, 19, 2], Operations: ['30-28=2']
Exploring Operation: 19*2=38, Resulting Numbers: [5, 38]
Generated Node #3: [5, 38] from Operation: 19*2=38
Current State: 43:[5, 38], Operations: ['30-28=2', '19*2=38']
Exploring Operation: 5+38=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
28,
8,
21,
61
] | 20 | [
"28-8=20",
"61-21=40",
"40-20=20"
] | Current State: 20:[28, 8, 21, 61], Operations: []
Exploring Operation: 28-8=20, Resulting Numbers: [21, 61, 20]
Generated Node #2: [21, 61, 20] from Operation: 28-8=20
Current State: 20:[21, 61, 20], Operations: ['28-8=20']
Exploring Operation: 61-21=40, Resulting Numbers: [20, 40]
Generated Node #3: [20, 40] from Operation: 61-21=40
Current State: 20:[20, 40], Operations: ['28-8=20', '61-21=40']
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
5,
17,
28,
9
] | 54 | [
"5+17=22",
"28-22=6",
"9*6=54"
] | Current State: 54:[5, 17, 28, 9], Operations: []
Exploring Operation: 5+17=22, Resulting Numbers: [28, 9, 22]
Generated Node #2: [28, 9, 22] from Operation: 5+17=22
Current State: 54:[28, 9, 22], Operations: ['5+17=22']
Exploring Operation: 28-22=6, Resulting Numbers: [9, 6]
Generated Node #3: [9, 6] from Operation: 28-22=6
Current State: 54:[9, 6], Operations: ['5+17=22', '28-22=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
25,
48,
9,
12
] | 44 | [
"48-25=23",
"9+12=21",
"23+21=44"
] | Current State: 44:[25, 48, 9, 12], Operations: []
Exploring Operation: 48-25=23, Resulting Numbers: [9, 12, 23]
Generated Node #2: [9, 12, 23] from Operation: 48-25=23
Current State: 44:[9, 12, 23], Operations: ['48-25=23']
Exploring Operation: 9+12=21, Resulting Numbers: [23, 21]
Generated Node #3: [23, 21] from Operation: 9+12=21
Current State: 44:[23, 21], Operations: ['48-25=23', '9+12=21']
Exploring Operation: 23+21=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
69,
67,
82,
95
] | 11 | [
"69-67=2",
"95-82=13",
"13-2=11"
] | Current State: 11:[69, 67, 82, 95], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [82, 95, 2]
Generated Node #2: [82, 95, 2] from Operation: 69-67=2
Current State: 11:[82, 95, 2], Operations: ['69-67=2']
Exploring Operation: 95-82=13, Resulting Numbers: [2, 13]
Generated Node #3: [2, 13] from Operation: 95-82=13
Current State: 11:[2, 13], Operations: ['69-67=2', '95-82=13']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
92,
12,
66,
33
] | 84 | [
"92-66=26",
"33-26=7",
"12*7=84"
] | Current State: 84:[92, 12, 66, 33], Operations: []
Exploring Operation: 92-66=26, Resulting Numbers: [12, 33, 26]
Generated Node #2: [12, 33, 26] from Operation: 92-66=26
Current State: 84:[12, 33, 26], Operations: ['92-66=26']
Exploring Operation: 33-26=7, Resulting Numbers: [12, 7]
Generated Node #3: [12, 7] from Operation: 33-26=7
Current State: 84:[12, 7], Operations: ['92-66=26', '33-26=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
7,
19,
68,
47
] | 89 | [
"7+19=26",
"68+47=115",
"115-26=89"
] | Current State: 89:[7, 19, 68, 47], Operations: []
Exploring Operation: 7+19=26, Resulting Numbers: [68, 47, 26]
Generated Node #2: [68, 47, 26] from Operation: 7+19=26
Current State: 89:[68, 47, 26], Operations: ['7+19=26']
Exploring Operation: 68+47=115, Resulting Numbers: [26, 115]
Generated Node #3: [26, 115] from Operation: 68+47=115
Current State: 89:[26, 115], Operations: ['7+19=26', '68+47=115']
Exploring Operation: 115-26=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
89,
17,
4,
24
] | 29 | [
"89-4=85",
"85/17=5",
"24+5=29"
] | Current State: 29:[89, 17, 4, 24], Operations: []
Exploring Operation: 89-4=85, Resulting Numbers: [17, 24, 85]
Generated Node #2: [17, 24, 85] from Operation: 89-4=85
Current State: 29:[17, 24, 85], Operations: ['89-4=85']
Exploring Operation: 85/17=5, Resulting Numbers: [24, 5]
Generated Node #3: [24, 5] from Operation: 85/17=5
Current State: 29:[24, 5], Operations: ['89-4=85', '85/17=5']
Exploring Operation: 24+5=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
73,
2,
82,
7
] | 32 | [
"82-73=9",
"7+9=16",
"2*16=32"
] | Current State: 32:[73, 2, 82, 7], Operations: []
Exploring Operation: 82-73=9, Resulting Numbers: [2, 7, 9]
Generated Node #2: [2, 7, 9] from Operation: 82-73=9
Current State: 32:[2, 7, 9], Operations: ['82-73=9']
Exploring Operation: 7+9=16, Resulting Numbers: [2, 16]
Generated Node #3: [2, 16] from Operation: 7+9=16
Current State: 32:[2, 16], Operations: ['82-73=9', '7+9=16']
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
37,
87,
83,
65
] | 38 | [
"37*87=3219",
"3219-65=3154",
"3154/83=38"
] | Current State: 38:[37, 87, 83, 65], Operations: []
Exploring Operation: 37*87=3219, Resulting Numbers: [83, 65, 3219]
Generated Node #2: [83, 65, 3219] from Operation: 37*87=3219
Current State: 38:[83, 65, 3219], Operations: ['37*87=3219']
Exploring Operation: 3219-65=3154, Resulting Numbers: [83, 3154]
Generated Node #3: [83, 3154] from Operation: 3219-65=3154
Current State: 38:[83, 3154], Operations: ['37*87=3219', '3219-65=3154']
Exploring Operation: 3154/83=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
28,
6,
4,
78
] | 91 | [
"28/4=7",
"6+78=84",
"7+84=91"
] | Current State: 91:[28, 6, 4, 78], Operations: []
Exploring Operation: 28/4=7, Resulting Numbers: [6, 78, 7]
Generated Node #2: [6, 78, 7] from Operation: 28/4=7
Current State: 91:[6, 78, 7], Operations: ['28/4=7']
Exploring Operation: 6+78=84, Resulting Numbers: [7, 84]
Generated Node #3: [7, 84] from Operation: 6+78=84
Current State: 91:[7, 84], Operations: ['28/4=7', '6+78=84']
Exploring Operation: 7+84=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
3,
49,
90,
13
] | 40 | [
"13-3=10",
"90/10=9",
"49-9=40"
] | Current State: 40:[3, 49, 90, 13], Operations: []
Exploring Operation: 13-3=10, Resulting Numbers: [49, 90, 10]
Generated Node #2: [49, 90, 10] from Operation: 13-3=10
Current State: 40:[49, 90, 10], Operations: ['13-3=10']
Exploring Operation: 90/10=9, Resulting Numbers: [49, 9]
Generated Node #3: [49, 9] from Operation: 90/10=9
Current State: 40:[49, 9], Operations: ['13-3=10', '90/10=9']
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
82,
60,
42,
3
] | 20 | [
"82-42=40",
"60/3=20",
"40-20=20"
] | Current State: 20:[82, 60, 42, 3], Operations: []
Exploring Operation: 82-42=40, Resulting Numbers: [60, 3, 40]
Generated Node #2: [60, 3, 40] from Operation: 82-42=40
Current State: 20:[60, 3, 40], Operations: ['82-42=40']
Exploring Operation: 60/3=20, Resulting Numbers: [40, 20]
Generated Node #3: [40, 20] from Operation: 60/3=20
Current State: 20:[40, 20], Operations: ['82-42=40', '60/3=20']
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
18,
49,
93,
1
] | 62 | [
"49-18=31",
"93*1=93",
"93-31=62"
] | Current State: 62:[18, 49, 93, 1], Operations: []
Exploring Operation: 49-18=31, Resulting Numbers: [93, 1, 31]
Generated Node #2: [93, 1, 31] from Operation: 49-18=31
Current State: 62:[93, 1, 31], Operations: ['49-18=31']
Exploring Operation: 93*1=93, Resulting Numbers: [31, 93]
Generated Node #3: [31, 93] from Operation: 93*1=93
Current State: 62:[31, 93], Operations: ['49-18=31', '93*1=93']
Exploring Operation: 93-31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
96,
75,
26,
36
] | 31 | [
"96-75=21",
"36-26=10",
"21+10=31"
] | Current State: 31:[96, 75, 26, 36], Operations: []
Exploring Operation: 96-75=21, Resulting Numbers: [26, 36, 21]
Generated Node #2: [26, 36, 21] from Operation: 96-75=21
Current State: 31:[26, 36, 21], Operations: ['96-75=21']
Exploring Operation: 36-26=10, Resulting Numbers: [21, 10]
Generated Node #3: [21, 10] from Operation: 36-26=10
Current State: 31:[21, 10], Operations: ['96-75=21', '36-26=10']
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
66,
15,
90,
86
] | 47 | [
"66-15=51",
"90-86=4",
"51-4=47"
] | Current State: 47:[66, 15, 90, 86], Operations: []
Exploring Operation: 66-15=51, Resulting Numbers: [90, 86, 51]
Generated Node #2: [90, 86, 51] from Operation: 66-15=51
Current State: 47:[90, 86, 51], Operations: ['66-15=51']
Exploring Operation: 90-86=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 90-86=4
Current State: 47:[51, 4], Operations: ['66-15=51', '90-86=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
60,
21,
61,
50
] | 28 | [
"60-21=39",
"61-50=11",
"39-11=28"
] | Current State: 28:[60, 21, 61, 50], Operations: []
Exploring Operation: 60-21=39, Resulting Numbers: [61, 50, 39]
Generated Node #2: [61, 50, 39] from Operation: 60-21=39
Current State: 28:[61, 50, 39], Operations: ['60-21=39']
Exploring Operation: 61-50=11, Resulting Numbers: [39, 11]
Generated Node #3: [39, 11] from Operation: 61-50=11
Current State: 28:[39, 11], Operations: ['60-21=39', '61-50=11']
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
29,
36,
50,
40
] | 97 | [
"36-29=7",
"50+40=90",
"7+90=97"
] | Current State: 97:[29, 36, 50, 40], Operations: []
Exploring Operation: 36-29=7, Resulting Numbers: [50, 40, 7]
Generated Node #2: [50, 40, 7] from Operation: 36-29=7
Current State: 97:[50, 40, 7], Operations: ['36-29=7']
Exploring Operation: 50+40=90, Resulting Numbers: [7, 90]
Generated Node #3: [7, 90] from Operation: 50+40=90
Current State: 97:[7, 90], Operations: ['36-29=7', '50+40=90']
Exploring Operation: 7+90=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
3,
11,
26,
71
] | 40 | [
"11+26=37",
"3*37=111",
"111-71=40"
] | Current State: 40:[3, 11, 26, 71], Operations: []
Exploring Operation: 11+26=37, Resulting Numbers: [3, 71, 37]
Generated Node #2: [3, 71, 37] from Operation: 11+26=37
Current State: 40:[3, 71, 37], Operations: ['11+26=37']
Exploring Operation: 3*37=111, Resulting Numbers: [71, 111]
Generated Node #3: [71, 111] from Operation: 3*37=111
Current State: 40:[71, 111], Operations: ['11+26=37', '3*37=111']
Exploring Operation: 111-71=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
59,
6,
52,
28
] | 57 | [
"59+52=111",
"6*28=168",
"168-111=57"
] | Current State: 57:[59, 6, 52, 28], Operations: []
Exploring Operation: 59+52=111, Resulting Numbers: [6, 28, 111]
Generated Node #2: [6, 28, 111] from Operation: 59+52=111
Current State: 57:[6, 28, 111], Operations: ['59+52=111']
Exploring Operation: 6*28=168, Resulting Numbers: [111, 168]
Generated Node #3: [111, 168] from Operation: 6*28=168
Current State: 57:[111, 168], Operations: ['59+52=111', '6*28=168']
Exploring Operation: 168-111=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
36,
46,
2,
39
] | 34 | [
"46-36=10",
"10/2=5",
"39-5=34"
] | Current State: 34:[36, 46, 2, 39], Operations: []
Exploring Operation: 46-36=10, Resulting Numbers: [2, 39, 10]
Generated Node #2: [2, 39, 10] from Operation: 46-36=10
Current State: 34:[2, 39, 10], Operations: ['46-36=10']
Exploring Operation: 10/2=5, Resulting Numbers: [39, 5]
Generated Node #3: [39, 5] from Operation: 10/2=5
Current State: 34:[39, 5], Operations: ['46-36=10', '10/2=5']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
33,
41,
19,
43
] | 71 | [
"43-41=2",
"19*2=38",
"33+38=71"
] | Current State: 71:[33, 41, 19, 43], Operations: []
Exploring Operation: 43-41=2, Resulting Numbers: [33, 19, 2]
Generated Node #2: [33, 19, 2] from Operation: 43-41=2
Current State: 71:[33, 19, 2], Operations: ['43-41=2']
Exploring Operation: 19*2=38, Resulting Numbers: [33, 38]
Generated Node #3: [33, 38] from Operation: 19*2=38
Current State: 71:[33, 38], Operations: ['43-41=2', '19*2=38']
Exploring Operation: 33+38=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
63,
12,
47,
81
] | 41 | [
"63+12=75",
"81-47=34",
"75-34=41"
] | Current State: 41:[63, 12, 47, 81], Operations: []
Exploring Operation: 63+12=75, Resulting Numbers: [47, 81, 75]
Generated Node #2: [47, 81, 75] from Operation: 63+12=75
Current State: 41:[47, 81, 75], Operations: ['63+12=75']
Exploring Operation: 81-47=34, Resulting Numbers: [75, 34]
Generated Node #3: [75, 34] from Operation: 81-47=34
Current State: 41:[75, 34], Operations: ['63+12=75', '81-47=34']
Exploring Operation: 75-34=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
89,
5,
28,
12
] | 85 | [
"12-5=7",
"28/7=4",
"89-4=85"
] | Current State: 85:[89, 5, 28, 12], Operations: []
Exploring Operation: 12-5=7, Resulting Numbers: [89, 28, 7]
Generated Node #2: [89, 28, 7] from Operation: 12-5=7
Current State: 85:[89, 28, 7], Operations: ['12-5=7']
Exploring Operation: 28/7=4, Resulting Numbers: [89, 4]
Generated Node #3: [89, 4] from Operation: 28/7=4
Current State: 85:[89, 4], Operations: ['12-5=7', '28/7=4']
Exploring Operation: 89-4=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
88,
39,
6,
40
] | 99 | [
"39+6=45",
"88*45=3960",
"3960/40=99"
] | Current State: 99:[88, 39, 6, 40], Operations: []
Exploring Operation: 39+6=45, Resulting Numbers: [88, 40, 45]
Generated Node #2: [88, 40, 45] from Operation: 39+6=45
Current State: 99:[88, 40, 45], Operations: ['39+6=45']
Exploring Operation: 88*45=3960, Resulting Numbers: [40, 3960]
Generated Node #3: [40, 3960] from Operation: 88*45=3960
Current State: 99:[40, 3960], Operations: ['39+6=45', '88*45=3960']
Exploring Operation: 3960/40=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
6,
32,
24,
99
] | 49 | [
"32-6=26",
"99-24=75",
"75-26=49"
] | Current State: 49:[6, 32, 24, 99], Operations: []
Exploring Operation: 32-6=26, Resulting Numbers: [24, 99, 26]
Generated Node #2: [24, 99, 26] from Operation: 32-6=26
Current State: 49:[24, 99, 26], Operations: ['32-6=26']
Exploring Operation: 99-24=75, Resulting Numbers: [26, 75]
Generated Node #3: [26, 75] from Operation: 99-24=75
Current State: 49:[26, 75], Operations: ['32-6=26', '99-24=75']
Exploring Operation: 75-26=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
55,
9,
79,
31
] | 64 | [
"55-9=46",
"79+31=110",
"110-46=64"
] | Current State: 64:[55, 9, 79, 31], Operations: []
Exploring Operation: 55-9=46, Resulting Numbers: [79, 31, 46]
Generated Node #2: [79, 31, 46] from Operation: 55-9=46
Current State: 64:[79, 31, 46], Operations: ['55-9=46']
Exploring Operation: 79+31=110, Resulting Numbers: [46, 110]
Generated Node #3: [46, 110] from Operation: 79+31=110
Current State: 64:[46, 110], Operations: ['55-9=46', '79+31=110']
Exploring Operation: 110-46=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
33,
34,
13,
13
] | 67 | [
"33+34=67",
"13-13=0",
"67+0=67"
] | Current State: 67:[33, 34, 13, 13], Operations: []
Exploring Operation: 33+34=67, Resulting Numbers: [13, 13, 67]
Generated Node #2: [13, 13, 67] from Operation: 33+34=67
Current State: 67:[13, 13, 67], Operations: ['33+34=67']
Exploring Operation: 13-13=0, Resulting Numbers: [67, 0]
Generated Node #3: [67, 0] from Operation: 13-13=0
Current State: 67:[67, 0], Operations: ['33+34=67', '13-13=0']
Exploring Operation: 67+0=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
9,
16,
54,
62
] | 28 | [
"9*16=144",
"54+62=116",
"144-116=28"
] | Current State: 28:[9, 16, 54, 62], Operations: []
Exploring Operation: 9*16=144, Resulting Numbers: [54, 62, 144]
Generated Node #2: [54, 62, 144] from Operation: 9*16=144
Current State: 28:[54, 62, 144], Operations: ['9*16=144']
Exploring Operation: 54+62=116, Resulting Numbers: [144, 116]
Generated Node #3: [144, 116] from Operation: 54+62=116
Current State: 28:[144, 116], Operations: ['9*16=144', '54+62=116']
Exploring Operation: 144-116=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
11,
13,
48,
20
] | 22 | [
"11+13=24",
"48/24=2",
"20+2=22"
] | Current State: 22:[11, 13, 48, 20], Operations: []
Exploring Operation: 11+13=24, Resulting Numbers: [48, 20, 24]
Generated Node #2: [48, 20, 24] from Operation: 11+13=24
Current State: 22:[48, 20, 24], Operations: ['11+13=24']
Exploring Operation: 48/24=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 48/24=2
Current State: 22:[20, 2], Operations: ['11+13=24', '48/24=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
20,
42,
33,
25
] | 99 | [
"42-20=22",
"25-22=3",
"33*3=99"
] | Current State: 99:[20, 42, 33, 25], Operations: []
Exploring Operation: 42-20=22, Resulting Numbers: [33, 25, 22]
Generated Node #2: [33, 25, 22] from Operation: 42-20=22
Current State: 99:[33, 25, 22], Operations: ['42-20=22']
Exploring Operation: 25-22=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 25-22=3
Current State: 99:[33, 3], Operations: ['42-20=22', '25-22=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
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