nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
40,
81,
22,
13
] | 49 | [
"22-13=9",
"81/9=9",
"40+9=49"
] | Current State: 49:[40, 81, 22, 13], Operations: []
Exploring Operation: 22-13=9, Resulting Numbers: [40, 81, 9]
Generated Node #2: [40, 81, 9] from Operation: 22-13=9
Current State: 49:[40, 81, 9], Operations: ['22-13=9']
Exploring Operation: 81/9=9, Resulting Numbers: [40, 9]
Generated Node #3: [40, 9] from Operation: 81/9=9
Current State: 49:[40, 9], Operations: ['22-13=9', '81/9=9']
Exploring Operation: 40+9=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
87,
28,
12,
51
] | 31 | [
"87-51=36",
"36/12=3",
"28+3=31"
] | Current State: 31:[87, 28, 12, 51], Operations: []
Exploring Operation: 87-51=36, Resulting Numbers: [28, 12, 36]
Generated Node #2: [28, 12, 36] from Operation: 87-51=36
Current State: 31:[28, 12, 36], Operations: ['87-51=36']
Exploring Operation: 36/12=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 36/12=3
Current State: 31:[28, 3], Operations: ['87-51=36', '36/12=3']
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
15,
33,
56,
68
] | 36 | [
"15+33=48",
"68-56=12",
"48-12=36"
] | Current State: 36:[15, 33, 56, 68], Operations: []
Exploring Operation: 15+33=48, Resulting Numbers: [56, 68, 48]
Generated Node #2: [56, 68, 48] from Operation: 15+33=48
Current State: 36:[56, 68, 48], Operations: ['15+33=48']
Exploring Operation: 68-56=12, Resulting Numbers: [48, 12]
Generated Node #3: [48, 12] from Operation: 68-56=12
Current State: 36:[48, 12], Operations: ['15+33=48', '68-56=12']
Exploring Operation: 48-12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
55,
3,
60,
68
] | 53 | [
"60-55=5",
"3*5=15",
"68-15=53"
] | Current State: 53:[55, 3, 60, 68], Operations: []
Exploring Operation: 60-55=5, Resulting Numbers: [3, 68, 5]
Generated Node #2: [3, 68, 5] from Operation: 60-55=5
Current State: 53:[3, 68, 5], Operations: ['60-55=5']
Exploring Operation: 3*5=15, Resulting Numbers: [68, 15]
Generated Node #3: [68, 15] from Operation: 3*5=15
Current State: 53:[68, 15], Operations: ['60-55=5', '3*5=15']
Exploring Operation: 68-15=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
10,
7,
65,
73
] | 74 | [
"73-10=63",
"63/7=9",
"65+9=74"
] | Current State: 74:[10, 7, 65, 73], Operations: []
Exploring Operation: 73-10=63, Resulting Numbers: [7, 65, 63]
Generated Node #2: [7, 65, 63] from Operation: 73-10=63
Current State: 74:[7, 65, 63], Operations: ['73-10=63']
Exploring Operation: 63/7=9, Resulting Numbers: [65, 9]
Generated Node #3: [65, 9] from Operation: 63/7=9
Current State: 74:[65, 9], Operations: ['73-10=63', '63/7=9']
Exploring Operation: 65+9=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
43,
58,
50,
45
] | 91 | [
"50-43=7",
"58-45=13",
"7*13=91"
] | Current State: 91:[43, 58, 50, 45], Operations: []
Exploring Operation: 50-43=7, Resulting Numbers: [58, 45, 7]
Generated Node #2: [58, 45, 7] from Operation: 50-43=7
Current State: 91:[58, 45, 7], Operations: ['50-43=7']
Exploring Operation: 58-45=13, Resulting Numbers: [7, 13]
Generated Node #3: [7, 13] from Operation: 58-45=13
Current State: 91:[7, 13], Operations: ['50-43=7', '58-45=13']
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
87,
18,
60,
6
] | 54 | [
"87-18=69",
"69-60=9",
"6*9=54"
] | Current State: 54:[87, 18, 60, 6], Operations: []
Exploring Operation: 87-18=69, Resulting Numbers: [60, 6, 69]
Generated Node #2: [60, 6, 69] from Operation: 87-18=69
Current State: 54:[60, 6, 69], Operations: ['87-18=69']
Exploring Operation: 69-60=9, Resulting Numbers: [6, 9]
Generated Node #3: [6, 9] from Operation: 69-60=9
Current State: 54:[6, 9], Operations: ['87-18=69', '69-60=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
45,
50,
5,
4
] | 23 | [
"45+50=95",
"95/5=19",
"4+19=23"
] | Current State: 23:[45, 50, 5, 4], Operations: []
Exploring Operation: 45+50=95, Resulting Numbers: [5, 4, 95]
Generated Node #2: [5, 4, 95] from Operation: 45+50=95
Current State: 23:[5, 4, 95], Operations: ['45+50=95']
Exploring Operation: 95/5=19, Resulting Numbers: [4, 19]
Generated Node #3: [4, 19] from Operation: 95/5=19
Current State: 23:[4, 19], Operations: ['45+50=95', '95/5=19']
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
12,
72,
48,
56
] | 15 | [
"72-56=16",
"48/16=3",
"12+3=15"
] | Current State: 15:[12, 72, 48, 56], Operations: []
Exploring Operation: 72-56=16, Resulting Numbers: [12, 48, 16]
Generated Node #2: [12, 48, 16] from Operation: 72-56=16
Current State: 15:[12, 48, 16], Operations: ['72-56=16']
Exploring Operation: 48/16=3, Resulting Numbers: [12, 3]
Generated Node #3: [12, 3] from Operation: 48/16=3
Current State: 15:[12, 3], Operations: ['72-56=16', '48/16=3']
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
24,
38,
94,
6
] | 86 | [
"38-24=14",
"94+6=100",
"100-14=86"
] | Current State: 86:[24, 38, 94, 6], Operations: []
Exploring Operation: 38-24=14, Resulting Numbers: [94, 6, 14]
Generated Node #2: [94, 6, 14] from Operation: 38-24=14
Current State: 86:[94, 6, 14], Operations: ['38-24=14']
Exploring Operation: 94+6=100, Resulting Numbers: [14, 100]
Generated Node #3: [14, 100] from Operation: 94+6=100
Current State: 86:[14, 100], Operations: ['38-24=14', '94+6=100']
Exploring Operation: 100-14=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
16,
54,
60,
70
] | 60 | [
"16+54=70",
"60+70=130",
"130-70=60"
] | Current State: 60:[16, 54, 60, 70], Operations: []
Exploring Operation: 16+54=70, Resulting Numbers: [60, 70, 70]
Generated Node #2: [60, 70, 70] from Operation: 16+54=70
Current State: 60:[60, 70, 70], Operations: ['16+54=70']
Exploring Operation: 60+70=130, Resulting Numbers: [130]
130,60 equal: Goal Reached
Exploring Operation: 130-70=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
38,
30,
73,
62
] | 57 | [
"38+30=68",
"73-62=11",
"68-11=57"
] | Current State: 57:[38, 30, 73, 62], Operations: []
Exploring Operation: 38+30=68, Resulting Numbers: [73, 62, 68]
Generated Node #2: [73, 62, 68] from Operation: 38+30=68
Current State: 57:[73, 62, 68], Operations: ['38+30=68']
Exploring Operation: 73-62=11, Resulting Numbers: [68, 11]
Generated Node #3: [68, 11] from Operation: 73-62=11
Current State: 57:[68, 11], Operations: ['38+30=68', '73-62=11']
Exploring Operation: 68-11=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
16,
43,
61,
44
] | 45 | [
"61-16=45",
"44-43=1",
"45*1=45"
] | Current State: 45:[16, 43, 61, 44], Operations: []
Exploring Operation: 61-16=45, Resulting Numbers: [43, 44, 45]
Generated Node #2: [43, 44, 45] from Operation: 61-16=45
Current State: 45:[43, 44, 45], Operations: ['61-16=45']
Exploring Operation: 44-43=1, Resulting Numbers: [45, 1]
Generated Node #3: [45, 1] from Operation: 44-43=1
Current State: 45:[45, 1], Operations: ['61-16=45', '44-43=1']
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
55,
2,
73,
8
] | 17 | [
"73-55=18",
"18/2=9",
"8+9=17"
] | Current State: 17:[55, 2, 73, 8], Operations: []
Exploring Operation: 73-55=18, Resulting Numbers: [2, 8, 18]
Generated Node #2: [2, 8, 18] from Operation: 73-55=18
Current State: 17:[2, 8, 18], Operations: ['73-55=18']
Exploring Operation: 18/2=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 18/2=9
Current State: 17:[8, 9], Operations: ['73-55=18', '18/2=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
44,
71,
18,
46
] | 45 | [
"44+71=115",
"18*115=2070",
"2070/46=45"
] | Current State: 45:[44, 71, 18, 46], Operations: []
Exploring Operation: 44+71=115, Resulting Numbers: [18, 46, 115]
Generated Node #2: [18, 46, 115] from Operation: 44+71=115
Current State: 45:[18, 46, 115], Operations: ['44+71=115']
Exploring Operation: 18*115=2070, Resulting Numbers: [46, 2070]
Generated Node #3: [46, 2070] from Operation: 18*115=2070
Current State: 45:[46, 2070], Operations: ['44+71=115', '18*115=2070']
Exploring Operation: 2070/46=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
7,
73,
5,
10
] | 88 | [
"10-7=3",
"5*3=15",
"73+15=88"
] | Current State: 88:[7, 73, 5, 10], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [73, 5, 3]
Generated Node #2: [73, 5, 3] from Operation: 10-7=3
Current State: 88:[73, 5, 3], Operations: ['10-7=3']
Exploring Operation: 5*3=15, Resulting Numbers: [73, 15]
Generated Node #3: [73, 15] from Operation: 5*3=15
Current State: 88:[73, 15], Operations: ['10-7=3', '5*3=15']
Exploring Operation: 73+15=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
56,
47,
58,
19
] | 56 | [
"58-56=2",
"47-19=28",
"2*28=56"
] | Current State: 56:[56, 47, 58, 19], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [47, 19, 2]
Generated Node #2: [47, 19, 2] from Operation: 58-56=2
Current State: 56:[47, 19, 2], Operations: ['58-56=2']
Exploring Operation: 47-19=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 47-19=28
Current State: 56:[2, 28], Operations: ['58-56=2', '47-19=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
70,
41,
7,
2
] | 97 | [
"70+41=111",
"7*2=14",
"111-14=97"
] | Current State: 97:[70, 41, 7, 2], Operations: []
Exploring Operation: 70+41=111, Resulting Numbers: [7, 2, 111]
Generated Node #2: [7, 2, 111] from Operation: 70+41=111
Current State: 97:[7, 2, 111], Operations: ['70+41=111']
Exploring Operation: 7*2=14, Resulting Numbers: [111, 14]
Generated Node #3: [111, 14] from Operation: 7*2=14
Current State: 97:[111, 14], Operations: ['70+41=111', '7*2=14']
Exploring Operation: 111-14=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
42,
16,
17,
89
] | 47 | [
"89-42=47",
"17-16=1",
"47*1=47"
] | Current State: 47:[42, 16, 17, 89], Operations: []
Exploring Operation: 89-42=47, Resulting Numbers: [16, 17, 47]
Generated Node #2: [16, 17, 47] from Operation: 89-42=47
Current State: 47:[16, 17, 47], Operations: ['89-42=47']
Exploring Operation: 17-16=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 17-16=1
Current State: 47:[47, 1], Operations: ['89-42=47', '17-16=1']
Exploring Operation: 47*1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
68,
20,
70,
69
] | 47 | [
"68-20=48",
"70-69=1",
"48-1=47"
] | Current State: 47:[68, 20, 70, 69], Operations: []
Exploring Operation: 68-20=48, Resulting Numbers: [70, 69, 48]
Generated Node #2: [70, 69, 48] from Operation: 68-20=48
Current State: 47:[70, 69, 48], Operations: ['68-20=48']
Exploring Operation: 70-69=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 70-69=1
Current State: 47:[48, 1], Operations: ['68-20=48', '70-69=1']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
46,
43,
96,
9
] | 90 | [
"46-43=3",
"96-9=87",
"3+87=90"
] | Current State: 90:[46, 43, 96, 9], Operations: []
Exploring Operation: 46-43=3, Resulting Numbers: [96, 9, 3]
Generated Node #2: [96, 9, 3] from Operation: 46-43=3
Current State: 90:[96, 9, 3], Operations: ['46-43=3']
Exploring Operation: 96-9=87, Resulting Numbers: [3, 87]
Generated Node #3: [3, 87] from Operation: 96-9=87
Current State: 90:[3, 87], Operations: ['46-43=3', '96-9=87']
Exploring Operation: 3+87=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
19,
22,
18,
1
] | 80 | [
"19+1=20",
"22-18=4",
"20*4=80"
] | Current State: 80:[19, 22, 18, 1], Operations: []
Exploring Operation: 19+1=20, Resulting Numbers: [22, 18, 20]
Generated Node #2: [22, 18, 20] from Operation: 19+1=20
Current State: 80:[22, 18, 20], Operations: ['19+1=20']
Exploring Operation: 22-18=4, Resulting Numbers: [20, 4]
Generated Node #3: [20, 4] from Operation: 22-18=4
Current State: 80:[20, 4], Operations: ['19+1=20', '22-18=4']
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
29,
39,
34,
48
] | 96 | [
"29+39=68",
"68/34=2",
"48*2=96"
] | Current State: 96:[29, 39, 34, 48], Operations: []
Exploring Operation: 29+39=68, Resulting Numbers: [34, 48, 68]
Generated Node #2: [34, 48, 68] from Operation: 29+39=68
Current State: 96:[34, 48, 68], Operations: ['29+39=68']
Exploring Operation: 68/34=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 68/34=2
Current State: 96:[48, 2], Operations: ['29+39=68', '68/34=2']
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
14,
38,
23,
63
] | 63 | [
"38-14=24",
"24-23=1",
"63*1=63"
] | Current State: 63:[14, 38, 23, 63], Operations: []
Exploring Operation: 38-14=24, Resulting Numbers: [23, 63, 24]
Generated Node #2: [23, 63, 24] from Operation: 38-14=24
Current State: 63:[23, 63, 24], Operations: ['38-14=24']
Exploring Operation: 24-23=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 24-23=1
Current State: 63:[63, 1], Operations: ['38-14=24', '24-23=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
44,
47,
24,
64
] | 94 | [
"24+64=88",
"88/44=2",
"47*2=94"
] | Current State: 94:[44, 47, 24, 64], Operations: []
Exploring Operation: 24+64=88, Resulting Numbers: [44, 47, 88]
Generated Node #2: [44, 47, 88] from Operation: 24+64=88
Current State: 94:[44, 47, 88], Operations: ['24+64=88']
Exploring Operation: 88/44=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 88/44=2
Current State: 94:[47, 2], Operations: ['24+64=88', '88/44=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
26,
67,
26,
24
] | 54 | [
"26-24=2",
"26/2=13",
"67-13=54"
] | Current State: 54:[26, 67, 26, 24], Operations: []
Exploring Operation: 26-24=2, Resulting Numbers: [67, 2]
Generated Node #2: [67, 2] from Operation: 26-24=2
Current State: 54:[67, 2], Operations: ['26-24=2']
Exploring Operation: 26/2=13, Resulting Numbers: [67, 13]
Generated Node #3: [67, 13] from Operation: 26/2=13
Current State: 54:[67, 13], Operations: ['26-24=2', '26/2=13']
Exploring Operation: 67-13=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
53,
3,
15,
61
] | 83 | [
"53*3=159",
"15+61=76",
"159-76=83"
] | Current State: 83:[53, 3, 15, 61], Operations: []
Exploring Operation: 53*3=159, Resulting Numbers: [15, 61, 159]
Generated Node #2: [15, 61, 159] from Operation: 53*3=159
Current State: 83:[15, 61, 159], Operations: ['53*3=159']
Exploring Operation: 15+61=76, Resulting Numbers: [159, 76]
Generated Node #3: [159, 76] from Operation: 15+61=76
Current State: 83:[159, 76], Operations: ['53*3=159', '15+61=76']
Exploring Operation: 159-76=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
26,
28,
94,
13
] | 19 | [
"26/13=2",
"94/2=47",
"47-28=19"
] | Current State: 19:[26, 28, 94, 13], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [28, 94, 2]
Generated Node #2: [28, 94, 2] from Operation: 26/13=2
Current State: 19:[28, 94, 2], Operations: ['26/13=2']
Exploring Operation: 94/2=47, Resulting Numbers: [28, 47]
Generated Node #3: [28, 47] from Operation: 94/2=47
Current State: 19:[28, 47], Operations: ['26/13=2', '94/2=47']
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
45,
33,
7,
99
] | 66 | [
"99/33=3",
"7*3=21",
"45+21=66"
] | Current State: 66:[45, 33, 7, 99], Operations: []
Exploring Operation: 99/33=3, Resulting Numbers: [45, 7, 3]
Generated Node #2: [45, 7, 3] from Operation: 99/33=3
Current State: 66:[45, 7, 3], Operations: ['99/33=3']
Exploring Operation: 7*3=21, Resulting Numbers: [45, 21]
Generated Node #3: [45, 21] from Operation: 7*3=21
Current State: 66:[45, 21], Operations: ['99/33=3', '7*3=21']
Exploring Operation: 45+21=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
49,
98,
20,
80
] | 51 | [
"98-49=49",
"20+80=100",
"100-49=51"
] | Current State: 51:[49, 98, 20, 80], Operations: []
Exploring Operation: 98-49=49, Resulting Numbers: [20, 80, 49]
Generated Node #2: [20, 80, 49] from Operation: 98-49=49
Current State: 51:[20, 80, 49], Operations: ['98-49=49']
Exploring Operation: 20+80=100, Resulting Numbers: [49, 100]
Generated Node #3: [49, 100] from Operation: 20+80=100
Current State: 51:[49, 100], Operations: ['98-49=49', '20+80=100']
Exploring Operation: 100-49=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
73,
79,
51,
34
] | 67 | [
"73+79=152",
"51+34=85",
"152-85=67"
] | Current State: 67:[73, 79, 51, 34], Operations: []
Exploring Operation: 73+79=152, Resulting Numbers: [51, 34, 152]
Generated Node #2: [51, 34, 152] from Operation: 73+79=152
Current State: 67:[51, 34, 152], Operations: ['73+79=152']
Exploring Operation: 51+34=85, Resulting Numbers: [152, 85]
Generated Node #3: [152, 85] from Operation: 51+34=85
Current State: 67:[152, 85], Operations: ['73+79=152', '51+34=85']
Exploring Operation: 152-85=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
99,
45,
72,
3
] | 78 | [
"99-45=54",
"72/3=24",
"54+24=78"
] | Current State: 78:[99, 45, 72, 3], Operations: []
Exploring Operation: 99-45=54, Resulting Numbers: [72, 3, 54]
Generated Node #2: [72, 3, 54] from Operation: 99-45=54
Current State: 78:[72, 3, 54], Operations: ['99-45=54']
Exploring Operation: 72/3=24, Resulting Numbers: [54, 24]
Generated Node #3: [54, 24] from Operation: 72/3=24
Current State: 78:[54, 24], Operations: ['99-45=54', '72/3=24']
Exploring Operation: 54+24=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
86,
90,
24,
14
] | 87 | [
"86-14=72",
"72/24=3",
"90-3=87"
] | Current State: 87:[86, 90, 24, 14], Operations: []
Exploring Operation: 86-14=72, Resulting Numbers: [90, 24, 72]
Generated Node #2: [90, 24, 72] from Operation: 86-14=72
Current State: 87:[90, 24, 72], Operations: ['86-14=72']
Exploring Operation: 72/24=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 72/24=3
Current State: 87:[90, 3], Operations: ['86-14=72', '72/24=3']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
98,
41,
18,
68
] | 29 | [
"98-41=57",
"18+68=86",
"86-57=29"
] | Current State: 29:[98, 41, 18, 68], Operations: []
Exploring Operation: 98-41=57, Resulting Numbers: [18, 68, 57]
Generated Node #2: [18, 68, 57] from Operation: 98-41=57
Current State: 29:[18, 68, 57], Operations: ['98-41=57']
Exploring Operation: 18+68=86, Resulting Numbers: [57, 86]
Generated Node #3: [57, 86] from Operation: 18+68=86
Current State: 29:[57, 86], Operations: ['98-41=57', '18+68=86']
Exploring Operation: 86-57=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
4,
18,
89,
38
] | 29 | [
"4+18=22",
"89-38=51",
"51-22=29"
] | Current State: 29:[4, 18, 89, 38], Operations: []
Exploring Operation: 4+18=22, Resulting Numbers: [89, 38, 22]
Generated Node #2: [89, 38, 22] from Operation: 4+18=22
Current State: 29:[89, 38, 22], Operations: ['4+18=22']
Exploring Operation: 89-38=51, Resulting Numbers: [22, 51]
Generated Node #3: [22, 51] from Operation: 89-38=51
Current State: 29:[22, 51], Operations: ['4+18=22', '89-38=51']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
36,
90,
7,
56
] | 46 | [
"90-36=54",
"56/7=8",
"54-8=46"
] | Current State: 46:[36, 90, 7, 56], Operations: []
Exploring Operation: 90-36=54, Resulting Numbers: [7, 56, 54]
Generated Node #2: [7, 56, 54] from Operation: 90-36=54
Current State: 46:[7, 56, 54], Operations: ['90-36=54']
Exploring Operation: 56/7=8, Resulting Numbers: [54, 8]
Generated Node #3: [54, 8] from Operation: 56/7=8
Current State: 46:[54, 8], Operations: ['90-36=54', '56/7=8']
Exploring Operation: 54-8=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
74,
22,
96,
78
] | 78 | [
"74+22=96",
"96+78=174",
"174-96=78"
] | Current State: 78:[74, 22, 96, 78], Operations: []
Exploring Operation: 74+22=96, Resulting Numbers: [96, 78, 96]
Generated Node #2: [96, 78, 96] from Operation: 74+22=96
Current State: 78:[96, 78, 96], Operations: ['74+22=96']
Exploring Operation: 96+78=174, Resulting Numbers: [174]
174,78 equal: Goal Reached
Exploring Operation: 174-96=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
27,
77,
7,
6
] | 91 | [
"27+77=104",
"7+6=13",
"104-13=91"
] | Current State: 91:[27, 77, 7, 6], Operations: []
Exploring Operation: 27+77=104, Resulting Numbers: [7, 6, 104]
Generated Node #2: [7, 6, 104] from Operation: 27+77=104
Current State: 91:[7, 6, 104], Operations: ['27+77=104']
Exploring Operation: 7+6=13, Resulting Numbers: [104, 13]
Generated Node #3: [104, 13] from Operation: 7+6=13
Current State: 91:[104, 13], Operations: ['27+77=104', '7+6=13']
Exploring Operation: 104-13=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
29,
22,
4,
21
] | 38 | [
"29+21=50",
"22*4=88",
"88-50=38"
] | Current State: 38:[29, 22, 4, 21], Operations: []
Exploring Operation: 29+21=50, Resulting Numbers: [22, 4, 50]
Generated Node #2: [22, 4, 50] from Operation: 29+21=50
Current State: 38:[22, 4, 50], Operations: ['29+21=50']
Exploring Operation: 22*4=88, Resulting Numbers: [50, 88]
Generated Node #3: [50, 88] from Operation: 22*4=88
Current State: 38:[50, 88], Operations: ['29+21=50', '22*4=88']
Exploring Operation: 88-50=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
36,
6,
77,
17
] | 66 | [
"36/6=6",
"77-17=60",
"6+60=66"
] | Current State: 66:[36, 6, 77, 17], Operations: []
Exploring Operation: 36/6=6, Resulting Numbers: [77, 17, 6]
Generated Node #2: [77, 17, 6] from Operation: 36/6=6
Current State: 66:[77, 17, 6], Operations: ['36/6=6']
Exploring Operation: 77-17=60, Resulting Numbers: [6, 60]
Generated Node #3: [6, 60] from Operation: 77-17=60
Current State: 66:[6, 60], Operations: ['36/6=6', '77-17=60']
Exploring Operation: 6+60=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
14,
77,
79,
93
] | 100 | [
"79-77=2",
"14/2=7",
"93+7=100"
] | Current State: 100:[14, 77, 79, 93], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [14, 93, 2]
Generated Node #2: [14, 93, 2] from Operation: 79-77=2
Current State: 100:[14, 93, 2], Operations: ['79-77=2']
Exploring Operation: 14/2=7, Resulting Numbers: [93, 7]
Generated Node #3: [93, 7] from Operation: 14/2=7
Current State: 100:[93, 7], Operations: ['79-77=2', '14/2=7']
Exploring Operation: 93+7=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
37,
43,
54,
23
] | 85 | [
"37*54=1998",
"1998-43=1955",
"1955/23=85"
] | Current State: 85:[37, 43, 54, 23], Operations: []
Exploring Operation: 37*54=1998, Resulting Numbers: [43, 23, 1998]
Generated Node #2: [43, 23, 1998] from Operation: 37*54=1998
Current State: 85:[43, 23, 1998], Operations: ['37*54=1998']
Exploring Operation: 1998-43=1955, Resulting Numbers: [23, 1955]
Generated Node #3: [23, 1955] from Operation: 1998-43=1955
Current State: 85:[23, 1955], Operations: ['37*54=1998', '1998-43=1955']
Exploring Operation: 1955/23=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
5,
3,
34,
45
] | 96 | [
"5+34=39",
"3*45=135",
"135-39=96"
] | Current State: 96:[5, 3, 34, 45], Operations: []
Exploring Operation: 5+34=39, Resulting Numbers: [3, 45, 39]
Generated Node #2: [3, 45, 39] from Operation: 5+34=39
Current State: 96:[3, 45, 39], Operations: ['5+34=39']
Exploring Operation: 3*45=135, Resulting Numbers: [39, 135]
Generated Node #3: [39, 135] from Operation: 3*45=135
Current State: 96:[39, 135], Operations: ['5+34=39', '3*45=135']
Exploring Operation: 135-39=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
3,
54,
59,
50
] | 25 | [
"3+54=57",
"59-57=2",
"50/2=25"
] | Current State: 25:[3, 54, 59, 50], Operations: []
Exploring Operation: 3+54=57, Resulting Numbers: [59, 50, 57]
Generated Node #2: [59, 50, 57] from Operation: 3+54=57
Current State: 25:[59, 50, 57], Operations: ['3+54=57']
Exploring Operation: 59-57=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 59-57=2
Current State: 25:[50, 2], Operations: ['3+54=57', '59-57=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
54,
32,
16,
62
] | 85 | [
"32/16=2",
"62/2=31",
"54+31=85"
] | Current State: 85:[54, 32, 16, 62], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [54, 62, 2]
Generated Node #2: [54, 62, 2] from Operation: 32/16=2
Current State: 85:[54, 62, 2], Operations: ['32/16=2']
Exploring Operation: 62/2=31, Resulting Numbers: [54, 31]
Generated Node #3: [54, 31] from Operation: 62/2=31
Current State: 85:[54, 31], Operations: ['32/16=2', '62/2=31']
Exploring Operation: 54+31=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
65,
52,
63,
44
] | 70 | [
"65-63=2",
"52/2=26",
"44+26=70"
] | Current State: 70:[65, 52, 63, 44], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [52, 44, 2]
Generated Node #2: [52, 44, 2] from Operation: 65-63=2
Current State: 70:[52, 44, 2], Operations: ['65-63=2']
Exploring Operation: 52/2=26, Resulting Numbers: [44, 26]
Generated Node #3: [44, 26] from Operation: 52/2=26
Current State: 70:[44, 26], Operations: ['65-63=2', '52/2=26']
Exploring Operation: 44+26=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
26,
20,
70,
46
] | 71 | [
"26+20=46",
"46/46=1",
"70+1=71"
] | Current State: 71:[26, 20, 70, 46], Operations: []
Exploring Operation: 26+20=46, Resulting Numbers: [70, 46, 46]
Generated Node #2: [70, 46, 46] from Operation: 26+20=46
Current State: 71:[70, 46, 46], Operations: ['26+20=46']
Exploring Operation: 46/46=1, Resulting Numbers: [70, 1]
Generated Node #3: [70, 1] from Operation: 46/46=1
Current State: 71:[70, 1], Operations: ['26+20=46', '46/46=1']
Exploring Operation: 70+1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
61,
88,
93,
90
] | 29 | [
"90-88=2",
"61*2=122",
"122-93=29"
] | Current State: 29:[61, 88, 93, 90], Operations: []
Exploring Operation: 90-88=2, Resulting Numbers: [61, 93, 2]
Generated Node #2: [61, 93, 2] from Operation: 90-88=2
Current State: 29:[61, 93, 2], Operations: ['90-88=2']
Exploring Operation: 61*2=122, Resulting Numbers: [93, 122]
Generated Node #3: [93, 122] from Operation: 61*2=122
Current State: 29:[93, 122], Operations: ['90-88=2', '61*2=122']
Exploring Operation: 122-93=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
83,
83,
83,
42
] | 43 | [
"83*42=3486",
"83+3486=3569",
"3569/83=43"
] | Current State: 43:[83, 83, 83, 42], Operations: []
Exploring Operation: 83*42=3486, Resulting Numbers: [3486]
3486,43 equal: Goal Reached
Exploring Operation: 83+3486=3569, Resulting Numbers: [3569]
3569,43 equal: Goal Reached
Exploring Operation: 3569/83=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
65,
53,
27,
15
] | 64 | [
"65*27=1755",
"1755/15=117",
"117-53=64"
] | Current State: 64:[65, 53, 27, 15], Operations: []
Exploring Operation: 65*27=1755, Resulting Numbers: [53, 15, 1755]
Generated Node #2: [53, 15, 1755] from Operation: 65*27=1755
Current State: 64:[53, 15, 1755], Operations: ['65*27=1755']
Exploring Operation: 1755/15=117, Resulting Numbers: [53, 117]
Generated Node #3: [53, 117] from Operation: 1755/15=117
Current State: 64:[53, 117], Operations: ['65*27=1755', '1755/15=117']
Exploring Operation: 117-53=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
29,
9,
54,
36
] | 31 | [
"36-9=27",
"54/27=2",
"29+2=31"
] | Current State: 31:[29, 9, 54, 36], Operations: []
Exploring Operation: 36-9=27, Resulting Numbers: [29, 54, 27]
Generated Node #2: [29, 54, 27] from Operation: 36-9=27
Current State: 31:[29, 54, 27], Operations: ['36-9=27']
Exploring Operation: 54/27=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 54/27=2
Current State: 31:[29, 2], Operations: ['36-9=27', '54/27=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
8,
75,
28,
24
] | 87 | [
"8+75=83",
"28-24=4",
"83+4=87"
] | Current State: 87:[8, 75, 28, 24], Operations: []
Exploring Operation: 8+75=83, Resulting Numbers: [28, 24, 83]
Generated Node #2: [28, 24, 83] from Operation: 8+75=83
Current State: 87:[28, 24, 83], Operations: ['8+75=83']
Exploring Operation: 28-24=4, Resulting Numbers: [83, 4]
Generated Node #3: [83, 4] from Operation: 28-24=4
Current State: 87:[83, 4], Operations: ['8+75=83', '28-24=4']
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
14,
17,
41,
39
] | 84 | [
"17-14=3",
"41*3=123",
"123-39=84"
] | Current State: 84:[14, 17, 41, 39], Operations: []
Exploring Operation: 17-14=3, Resulting Numbers: [41, 39, 3]
Generated Node #2: [41, 39, 3] from Operation: 17-14=3
Current State: 84:[41, 39, 3], Operations: ['17-14=3']
Exploring Operation: 41*3=123, Resulting Numbers: [39, 123]
Generated Node #3: [39, 123] from Operation: 41*3=123
Current State: 84:[39, 123], Operations: ['17-14=3', '41*3=123']
Exploring Operation: 123-39=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
52,
2,
91,
28
] | 65 | [
"52+2=54",
"91+28=119",
"119-54=65"
] | Current State: 65:[52, 2, 91, 28], Operations: []
Exploring Operation: 52+2=54, Resulting Numbers: [91, 28, 54]
Generated Node #2: [91, 28, 54] from Operation: 52+2=54
Current State: 65:[91, 28, 54], Operations: ['52+2=54']
Exploring Operation: 91+28=119, Resulting Numbers: [54, 119]
Generated Node #3: [54, 119] from Operation: 91+28=119
Current State: 65:[54, 119], Operations: ['52+2=54', '91+28=119']
Exploring Operation: 119-54=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
14,
70,
56,
64
] | 76 | [
"14+70=84",
"64-56=8",
"84-8=76"
] | Current State: 76:[14, 70, 56, 64], Operations: []
Exploring Operation: 14+70=84, Resulting Numbers: [56, 64, 84]
Generated Node #2: [56, 64, 84] from Operation: 14+70=84
Current State: 76:[56, 64, 84], Operations: ['14+70=84']
Exploring Operation: 64-56=8, Resulting Numbers: [84, 8]
Generated Node #3: [84, 8] from Operation: 64-56=8
Current State: 76:[84, 8], Operations: ['14+70=84', '64-56=8']
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
30,
7,
72,
31
] | 80 | [
"30-7=23",
"72+31=103",
"103-23=80"
] | Current State: 80:[30, 7, 72, 31], Operations: []
Exploring Operation: 30-7=23, Resulting Numbers: [72, 31, 23]
Generated Node #2: [72, 31, 23] from Operation: 30-7=23
Current State: 80:[72, 31, 23], Operations: ['30-7=23']
Exploring Operation: 72+31=103, Resulting Numbers: [23, 103]
Generated Node #3: [23, 103] from Operation: 72+31=103
Current State: 80:[23, 103], Operations: ['30-7=23', '72+31=103']
Exploring Operation: 103-23=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
34,
20,
72,
10
] | 40 | [
"34*20=680",
"72*10=720",
"720-680=40"
] | Current State: 40:[34, 20, 72, 10], Operations: []
Exploring Operation: 34*20=680, Resulting Numbers: [72, 10, 680]
Generated Node #2: [72, 10, 680] from Operation: 34*20=680
Current State: 40:[72, 10, 680], Operations: ['34*20=680']
Exploring Operation: 72*10=720, Resulting Numbers: [680, 720]
Generated Node #3: [680, 720] from Operation: 72*10=720
Current State: 40:[680, 720], Operations: ['34*20=680', '72*10=720']
Exploring Operation: 720-680=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
39,
16,
39,
79
] | 63 | [
"39+16=55",
"39+79=118",
"118-55=63"
] | Current State: 63:[39, 16, 39, 79], Operations: []
Exploring Operation: 39+16=55, Resulting Numbers: [79, 55]
Generated Node #2: [79, 55] from Operation: 39+16=55
Current State: 63:[79, 55], Operations: ['39+16=55']
Exploring Operation: 39+79=118, Resulting Numbers: [55, 118]
Generated Node #3: [55, 118] from Operation: 39+79=118
Current State: 63:[55, 118], Operations: ['39+16=55', '39+79=118']
Exploring Operation: 118-55=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
44,
1,
64,
32
] | 48 | [
"1+32=33",
"64*33=2112",
"2112/44=48"
] | Current State: 48:[44, 1, 64, 32], Operations: []
Exploring Operation: 1+32=33, Resulting Numbers: [44, 64, 33]
Generated Node #2: [44, 64, 33] from Operation: 1+32=33
Current State: 48:[44, 64, 33], Operations: ['1+32=33']
Exploring Operation: 64*33=2112, Resulting Numbers: [44, 2112]
Generated Node #3: [44, 2112] from Operation: 64*33=2112
Current State: 48:[44, 2112], Operations: ['1+32=33', '64*33=2112']
Exploring Operation: 2112/44=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
11,
8,
86,
28
] | 77 | [
"11+8=19",
"86-28=58",
"19+58=77"
] | Current State: 77:[11, 8, 86, 28], Operations: []
Exploring Operation: 11+8=19, Resulting Numbers: [86, 28, 19]
Generated Node #2: [86, 28, 19] from Operation: 11+8=19
Current State: 77:[86, 28, 19], Operations: ['11+8=19']
Exploring Operation: 86-28=58, Resulting Numbers: [19, 58]
Generated Node #3: [19, 58] from Operation: 86-28=58
Current State: 77:[19, 58], Operations: ['11+8=19', '86-28=58']
Exploring Operation: 19+58=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
3,
90,
32,
52
] | 26 | [
"90/3=30",
"32-30=2",
"52/2=26"
] | Current State: 26:[3, 90, 32, 52], Operations: []
Exploring Operation: 90/3=30, Resulting Numbers: [32, 52, 30]
Generated Node #2: [32, 52, 30] from Operation: 90/3=30
Current State: 26:[32, 52, 30], Operations: ['90/3=30']
Exploring Operation: 32-30=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 32-30=2
Current State: 26:[52, 2], Operations: ['90/3=30', '32-30=2']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
26,
24,
80,
30
] | 10 | [
"26-24=2",
"80/2=40",
"40-30=10"
] | Current State: 10:[26, 24, 80, 30], Operations: []
Exploring Operation: 26-24=2, Resulting Numbers: [80, 30, 2]
Generated Node #2: [80, 30, 2] from Operation: 26-24=2
Current State: 10:[80, 30, 2], Operations: ['26-24=2']
Exploring Operation: 80/2=40, Resulting Numbers: [30, 40]
Generated Node #3: [30, 40] from Operation: 80/2=40
Current State: 10:[30, 40], Operations: ['26-24=2', '80/2=40']
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
87,
77,
49,
7
] | 98 | [
"77*7=539",
"539/49=11",
"87+11=98"
] | Current State: 98:[87, 77, 49, 7], Operations: []
Exploring Operation: 77*7=539, Resulting Numbers: [87, 49, 539]
Generated Node #2: [87, 49, 539] from Operation: 77*7=539
Current State: 98:[87, 49, 539], Operations: ['77*7=539']
Exploring Operation: 539/49=11, Resulting Numbers: [87, 11]
Generated Node #3: [87, 11] from Operation: 539/49=11
Current State: 98:[87, 11], Operations: ['77*7=539', '539/49=11']
Exploring Operation: 87+11=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
57,
70,
5,
13
] | 66 | [
"57-5=52",
"52/13=4",
"70-4=66"
] | Current State: 66:[57, 70, 5, 13], Operations: []
Exploring Operation: 57-5=52, Resulting Numbers: [70, 13, 52]
Generated Node #2: [70, 13, 52] from Operation: 57-5=52
Current State: 66:[70, 13, 52], Operations: ['57-5=52']
Exploring Operation: 52/13=4, Resulting Numbers: [70, 4]
Generated Node #3: [70, 4] from Operation: 52/13=4
Current State: 66:[70, 4], Operations: ['57-5=52', '52/13=4']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
30,
82,
88,
36
] | 72 | [
"82-30=52",
"88+36=124",
"124-52=72"
] | Current State: 72:[30, 82, 88, 36], Operations: []
Exploring Operation: 82-30=52, Resulting Numbers: [88, 36, 52]
Generated Node #2: [88, 36, 52] from Operation: 82-30=52
Current State: 72:[88, 36, 52], Operations: ['82-30=52']
Exploring Operation: 88+36=124, Resulting Numbers: [52, 124]
Generated Node #3: [52, 124] from Operation: 88+36=124
Current State: 72:[52, 124], Operations: ['82-30=52', '88+36=124']
Exploring Operation: 124-52=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
9,
28,
93,
9
] | 27 | [
"93-9=84",
"84/28=3",
"9*3=27"
] | Current State: 27:[9, 28, 93, 9], Operations: []
Exploring Operation: 93-9=84, Resulting Numbers: [28, 84]
Generated Node #2: [28, 84] from Operation: 93-9=84
Current State: 27:[28, 84], Operations: ['93-9=84']
Exploring Operation: 84/28=3, Resulting Numbers: [3]
3,27 equal: Goal Reached
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
60,
31,
16,
13
] | 94 | [
"60+31=91",
"16-13=3",
"91+3=94"
] | Current State: 94:[60, 31, 16, 13], Operations: []
Exploring Operation: 60+31=91, Resulting Numbers: [16, 13, 91]
Generated Node #2: [16, 13, 91] from Operation: 60+31=91
Current State: 94:[16, 13, 91], Operations: ['60+31=91']
Exploring Operation: 16-13=3, Resulting Numbers: [91, 3]
Generated Node #3: [91, 3] from Operation: 16-13=3
Current State: 94:[91, 3], Operations: ['60+31=91', '16-13=3']
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
60,
36,
2,
98
] | 34 | [
"98-60=38",
"36*2=72",
"72-38=34"
] | Current State: 34:[60, 36, 2, 98], Operations: []
Exploring Operation: 98-60=38, Resulting Numbers: [36, 2, 38]
Generated Node #2: [36, 2, 38] from Operation: 98-60=38
Current State: 34:[36, 2, 38], Operations: ['98-60=38']
Exploring Operation: 36*2=72, Resulting Numbers: [38, 72]
Generated Node #3: [38, 72] from Operation: 36*2=72
Current State: 34:[38, 72], Operations: ['98-60=38', '36*2=72']
Exploring Operation: 72-38=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
9,
54,
78,
27
] | 48 | [
"54/27=2",
"78/2=39",
"9+39=48"
] | Current State: 48:[9, 54, 78, 27], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [9, 78, 2]
Generated Node #2: [9, 78, 2] from Operation: 54/27=2
Current State: 48:[9, 78, 2], Operations: ['54/27=2']
Exploring Operation: 78/2=39, Resulting Numbers: [9, 39]
Generated Node #3: [9, 39] from Operation: 78/2=39
Current State: 48:[9, 39], Operations: ['54/27=2', '78/2=39']
Exploring Operation: 9+39=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
40,
76,
2,
61
] | 95 | [
"76-40=36",
"61-2=59",
"36+59=95"
] | Current State: 95:[40, 76, 2, 61], Operations: []
Exploring Operation: 76-40=36, Resulting Numbers: [2, 61, 36]
Generated Node #2: [2, 61, 36] from Operation: 76-40=36
Current State: 95:[2, 61, 36], Operations: ['76-40=36']
Exploring Operation: 61-2=59, Resulting Numbers: [36, 59]
Generated Node #3: [36, 59] from Operation: 61-2=59
Current State: 95:[36, 59], Operations: ['76-40=36', '61-2=59']
Exploring Operation: 36+59=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
76,
28,
27,
60
] | 81 | [
"76-28=48",
"60-27=33",
"48+33=81"
] | Current State: 81:[76, 28, 27, 60], Operations: []
Exploring Operation: 76-28=48, Resulting Numbers: [27, 60, 48]
Generated Node #2: [27, 60, 48] from Operation: 76-28=48
Current State: 81:[27, 60, 48], Operations: ['76-28=48']
Exploring Operation: 60-27=33, Resulting Numbers: [48, 33]
Generated Node #3: [48, 33] from Operation: 60-27=33
Current State: 81:[48, 33], Operations: ['76-28=48', '60-27=33']
Exploring Operation: 48+33=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
19,
90,
51,
56
] | 76 | [
"90-19=71",
"56-51=5",
"71+5=76"
] | Current State: 76:[19, 90, 51, 56], Operations: []
Exploring Operation: 90-19=71, Resulting Numbers: [51, 56, 71]
Generated Node #2: [51, 56, 71] from Operation: 90-19=71
Current State: 76:[51, 56, 71], Operations: ['90-19=71']
Exploring Operation: 56-51=5, Resulting Numbers: [71, 5]
Generated Node #3: [71, 5] from Operation: 56-51=5
Current State: 76:[71, 5], Operations: ['90-19=71', '56-51=5']
Exploring Operation: 71+5=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
15,
91,
8,
53
] | 61 | [
"15+91=106",
"53-8=45",
"106-45=61"
] | Current State: 61:[15, 91, 8, 53], Operations: []
Exploring Operation: 15+91=106, Resulting Numbers: [8, 53, 106]
Generated Node #2: [8, 53, 106] from Operation: 15+91=106
Current State: 61:[8, 53, 106], Operations: ['15+91=106']
Exploring Operation: 53-8=45, Resulting Numbers: [106, 45]
Generated Node #3: [106, 45] from Operation: 53-8=45
Current State: 61:[106, 45], Operations: ['15+91=106', '53-8=45']
Exploring Operation: 106-45=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
77,
90,
4,
17
] | 69 | [
"90-77=13",
"4*13=52",
"17+52=69"
] | Current State: 69:[77, 90, 4, 17], Operations: []
Exploring Operation: 90-77=13, Resulting Numbers: [4, 17, 13]
Generated Node #2: [4, 17, 13] from Operation: 90-77=13
Current State: 69:[4, 17, 13], Operations: ['90-77=13']
Exploring Operation: 4*13=52, Resulting Numbers: [17, 52]
Generated Node #3: [17, 52] from Operation: 4*13=52
Current State: 69:[17, 52], Operations: ['90-77=13', '4*13=52']
Exploring Operation: 17+52=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
17,
66,
51,
29
] | 98 | [
"51/17=3",
"66+29=95",
"3+95=98"
] | Current State: 98:[17, 66, 51, 29], Operations: []
Exploring Operation: 51/17=3, Resulting Numbers: [66, 29, 3]
Generated Node #2: [66, 29, 3] from Operation: 51/17=3
Current State: 98:[66, 29, 3], Operations: ['51/17=3']
Exploring Operation: 66+29=95, Resulting Numbers: [3, 95]
Generated Node #3: [3, 95] from Operation: 66+29=95
Current State: 98:[3, 95], Operations: ['51/17=3', '66+29=95']
Exploring Operation: 3+95=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
77,
1,
82,
78
] | 19 | [
"77-1=76",
"82-78=4",
"76/4=19"
] | Current State: 19:[77, 1, 82, 78], Operations: []
Exploring Operation: 77-1=76, Resulting Numbers: [82, 78, 76]
Generated Node #2: [82, 78, 76] from Operation: 77-1=76
Current State: 19:[82, 78, 76], Operations: ['77-1=76']
Exploring Operation: 82-78=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 82-78=4
Current State: 19:[76, 4], Operations: ['77-1=76', '82-78=4']
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
56,
30,
34,
68
] | 73 | [
"34-30=4",
"68/4=17",
"56+17=73"
] | Current State: 73:[56, 30, 34, 68], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [56, 68, 4]
Generated Node #2: [56, 68, 4] from Operation: 34-30=4
Current State: 73:[56, 68, 4], Operations: ['34-30=4']
Exploring Operation: 68/4=17, Resulting Numbers: [56, 17]
Generated Node #3: [56, 17] from Operation: 68/4=17
Current State: 73:[56, 17], Operations: ['34-30=4', '68/4=17']
Exploring Operation: 56+17=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
19,
28,
22,
44
] | 33 | [
"28*22=616",
"616/44=14",
"19+14=33"
] | Current State: 33:[19, 28, 22, 44], Operations: []
Exploring Operation: 28*22=616, Resulting Numbers: [19, 44, 616]
Generated Node #2: [19, 44, 616] from Operation: 28*22=616
Current State: 33:[19, 44, 616], Operations: ['28*22=616']
Exploring Operation: 616/44=14, Resulting Numbers: [19, 14]
Generated Node #3: [19, 14] from Operation: 616/44=14
Current State: 33:[19, 14], Operations: ['28*22=616', '616/44=14']
Exploring Operation: 19+14=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
11,
39,
27,
7
] | 24 | [
"11*27=297",
"39*7=273",
"297-273=24"
] | Current State: 24:[11, 39, 27, 7], Operations: []
Exploring Operation: 11*27=297, Resulting Numbers: [39, 7, 297]
Generated Node #2: [39, 7, 297] from Operation: 11*27=297
Current State: 24:[39, 7, 297], Operations: ['11*27=297']
Exploring Operation: 39*7=273, Resulting Numbers: [297, 273]
Generated Node #3: [297, 273] from Operation: 39*7=273
Current State: 24:[297, 273], Operations: ['11*27=297', '39*7=273']
Exploring Operation: 297-273=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
32,
4,
11,
22
] | 61 | [
"32-4=28",
"11+22=33",
"28+33=61"
] | Current State: 61:[32, 4, 11, 22], Operations: []
Exploring Operation: 32-4=28, Resulting Numbers: [11, 22, 28]
Generated Node #2: [11, 22, 28] from Operation: 32-4=28
Current State: 61:[11, 22, 28], Operations: ['32-4=28']
Exploring Operation: 11+22=33, Resulting Numbers: [28, 33]
Generated Node #3: [28, 33] from Operation: 11+22=33
Current State: 61:[28, 33], Operations: ['32-4=28', '11+22=33']
Exploring Operation: 28+33=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
92,
89,
32,
93
] | 31 | [
"92+32=124",
"93-89=4",
"124/4=31"
] | Current State: 31:[92, 89, 32, 93], Operations: []
Exploring Operation: 92+32=124, Resulting Numbers: [89, 93, 124]
Generated Node #2: [89, 93, 124] from Operation: 92+32=124
Current State: 31:[89, 93, 124], Operations: ['92+32=124']
Exploring Operation: 93-89=4, Resulting Numbers: [124, 4]
Generated Node #3: [124, 4] from Operation: 93-89=4
Current State: 31:[124, 4], Operations: ['92+32=124', '93-89=4']
Exploring Operation: 124/4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
60,
46,
36,
12
] | 66 | [
"60*12=720",
"720/36=20",
"46+20=66"
] | Current State: 66:[60, 46, 36, 12], Operations: []
Exploring Operation: 60*12=720, Resulting Numbers: [46, 36, 720]
Generated Node #2: [46, 36, 720] from Operation: 60*12=720
Current State: 66:[46, 36, 720], Operations: ['60*12=720']
Exploring Operation: 720/36=20, Resulting Numbers: [46, 20]
Generated Node #3: [46, 20] from Operation: 720/36=20
Current State: 66:[46, 20], Operations: ['60*12=720', '720/36=20']
Exploring Operation: 46+20=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
40,
2,
82,
2
] | 21 | [
"40/2=20",
"82/2=41",
"41-20=21"
] | Current State: 21:[40, 2, 82, 2], Operations: []
Exploring Operation: 40/2=20, Resulting Numbers: [82, 20]
Generated Node #2: [82, 20] from Operation: 40/2=20
Current State: 21:[82, 20], Operations: ['40/2=20']
Exploring Operation: 82/2=41, Resulting Numbers: [20, 41]
Generated Node #3: [20, 41] from Operation: 82/2=41
Current State: 21:[20, 41], Operations: ['40/2=20', '82/2=41']
Exploring Operation: 41-20=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
75,
6,
22,
68
] | 90 | [
"75-22=53",
"68-53=15",
"6*15=90"
] | Current State: 90:[75, 6, 22, 68], Operations: []
Exploring Operation: 75-22=53, Resulting Numbers: [6, 68, 53]
Generated Node #2: [6, 68, 53] from Operation: 75-22=53
Current State: 90:[6, 68, 53], Operations: ['75-22=53']
Exploring Operation: 68-53=15, Resulting Numbers: [6, 15]
Generated Node #3: [6, 15] from Operation: 68-53=15
Current State: 90:[6, 15], Operations: ['75-22=53', '68-53=15']
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
24,
5,
66,
46
] | 80 | [
"24+46=70",
"70/5=14",
"66+14=80"
] | Current State: 80:[24, 5, 66, 46], Operations: []
Exploring Operation: 24+46=70, Resulting Numbers: [5, 66, 70]
Generated Node #2: [5, 66, 70] from Operation: 24+46=70
Current State: 80:[5, 66, 70], Operations: ['24+46=70']
Exploring Operation: 70/5=14, Resulting Numbers: [66, 14]
Generated Node #3: [66, 14] from Operation: 70/5=14
Current State: 80:[66, 14], Operations: ['24+46=70', '70/5=14']
Exploring Operation: 66+14=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
42,
5,
69,
59
] | 34 | [
"42+69=111",
"59+111=170",
"170/5=34"
] | Current State: 34:[42, 5, 69, 59], Operations: []
Exploring Operation: 42+69=111, Resulting Numbers: [5, 59, 111]
Generated Node #2: [5, 59, 111] from Operation: 42+69=111
Current State: 34:[5, 59, 111], Operations: ['42+69=111']
Exploring Operation: 59+111=170, Resulting Numbers: [5, 170]
Generated Node #3: [5, 170] from Operation: 59+111=170
Current State: 34:[5, 170], Operations: ['42+69=111', '59+111=170']
Exploring Operation: 170/5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
83,
51,
17,
34
] | 30 | [
"83-51=32",
"34/17=2",
"32-2=30"
] | Current State: 30:[83, 51, 17, 34], Operations: []
Exploring Operation: 83-51=32, Resulting Numbers: [17, 34, 32]
Generated Node #2: [17, 34, 32] from Operation: 83-51=32
Current State: 30:[17, 34, 32], Operations: ['83-51=32']
Exploring Operation: 34/17=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 34/17=2
Current State: 30:[32, 2], Operations: ['83-51=32', '34/17=2']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
95,
65,
10,
75
] | 72 | [
"95-65=30",
"30/10=3",
"75-3=72"
] | Current State: 72:[95, 65, 10, 75], Operations: []
Exploring Operation: 95-65=30, Resulting Numbers: [10, 75, 30]
Generated Node #2: [10, 75, 30] from Operation: 95-65=30
Current State: 72:[10, 75, 30], Operations: ['95-65=30']
Exploring Operation: 30/10=3, Resulting Numbers: [75, 3]
Generated Node #3: [75, 3] from Operation: 30/10=3
Current State: 72:[75, 3], Operations: ['95-65=30', '30/10=3']
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
93,
24,
21,
84
] | 87 | [
"93-21=72",
"72/24=3",
"84+3=87"
] | Current State: 87:[93, 24, 21, 84], Operations: []
Exploring Operation: 93-21=72, Resulting Numbers: [24, 84, 72]
Generated Node #2: [24, 84, 72] from Operation: 93-21=72
Current State: 87:[24, 84, 72], Operations: ['93-21=72']
Exploring Operation: 72/24=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 72/24=3
Current State: 87:[84, 3], Operations: ['93-21=72', '72/24=3']
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
8,
45,
83,
79
] | 57 | [
"8+45=53",
"83-79=4",
"53+4=57"
] | Current State: 57:[8, 45, 83, 79], Operations: []
Exploring Operation: 8+45=53, Resulting Numbers: [83, 79, 53]
Generated Node #2: [83, 79, 53] from Operation: 8+45=53
Current State: 57:[83, 79, 53], Operations: ['8+45=53']
Exploring Operation: 83-79=4, Resulting Numbers: [53, 4]
Generated Node #3: [53, 4] from Operation: 83-79=4
Current State: 57:[53, 4], Operations: ['8+45=53', '83-79=4']
Exploring Operation: 53+4=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
55,
79,
64,
2
] | 86 | [
"79-55=24",
"64-2=62",
"24+62=86"
] | Current State: 86:[55, 79, 64, 2], Operations: []
Exploring Operation: 79-55=24, Resulting Numbers: [64, 2, 24]
Generated Node #2: [64, 2, 24] from Operation: 79-55=24
Current State: 86:[64, 2, 24], Operations: ['79-55=24']
Exploring Operation: 64-2=62, Resulting Numbers: [24, 62]
Generated Node #3: [24, 62] from Operation: 64-2=62
Current State: 86:[24, 62], Operations: ['79-55=24', '64-2=62']
Exploring Operation: 24+62=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
71,
59,
34,
42
] | 20 | [
"71-59=12",
"42-34=8",
"12+8=20"
] | Current State: 20:[71, 59, 34, 42], Operations: []
Exploring Operation: 71-59=12, Resulting Numbers: [34, 42, 12]
Generated Node #2: [34, 42, 12] from Operation: 71-59=12
Current State: 20:[34, 42, 12], Operations: ['71-59=12']
Exploring Operation: 42-34=8, Resulting Numbers: [12, 8]
Generated Node #3: [12, 8] from Operation: 42-34=8
Current State: 20:[12, 8], Operations: ['71-59=12', '42-34=8']
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
84,
44,
56,
10
] | 14 | [
"84-44=40",
"56*10=560",
"560/40=14"
] | Current State: 14:[84, 44, 56, 10], Operations: []
Exploring Operation: 84-44=40, Resulting Numbers: [56, 10, 40]
Generated Node #2: [56, 10, 40] from Operation: 84-44=40
Current State: 14:[56, 10, 40], Operations: ['84-44=40']
Exploring Operation: 56*10=560, Resulting Numbers: [40, 560]
Generated Node #3: [40, 560] from Operation: 56*10=560
Current State: 14:[40, 560], Operations: ['84-44=40', '56*10=560']
Exploring Operation: 560/40=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
24,
20,
7,
2
] | 50 | [
"20-7=13",
"2*13=26",
"24+26=50"
] | Current State: 50:[24, 20, 7, 2], Operations: []
Exploring Operation: 20-7=13, Resulting Numbers: [24, 2, 13]
Generated Node #2: [24, 2, 13] from Operation: 20-7=13
Current State: 50:[24, 2, 13], Operations: ['20-7=13']
Exploring Operation: 2*13=26, Resulting Numbers: [24, 26]
Generated Node #3: [24, 26] from Operation: 2*13=26
Current State: 50:[24, 26], Operations: ['20-7=13', '2*13=26']
Exploring Operation: 24+26=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
66,
41,
19,
88
] | 62 | [
"41-19=22",
"88/22=4",
"66-4=62"
] | Current State: 62:[66, 41, 19, 88], Operations: []
Exploring Operation: 41-19=22, Resulting Numbers: [66, 88, 22]
Generated Node #2: [66, 88, 22] from Operation: 41-19=22
Current State: 62:[66, 88, 22], Operations: ['41-19=22']
Exploring Operation: 88/22=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 88/22=4
Current State: 62:[66, 4], Operations: ['41-19=22', '88/22=4']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
5,
37,
23,
48
] | 39 | [
"37-5=32",
"23+48=71",
"71-32=39"
] | Current State: 39:[5, 37, 23, 48], Operations: []
Exploring Operation: 37-5=32, Resulting Numbers: [23, 48, 32]
Generated Node #2: [23, 48, 32] from Operation: 37-5=32
Current State: 39:[23, 48, 32], Operations: ['37-5=32']
Exploring Operation: 23+48=71, Resulting Numbers: [32, 71]
Generated Node #3: [32, 71] from Operation: 23+48=71
Current State: 39:[32, 71], Operations: ['37-5=32', '23+48=71']
Exploring Operation: 71-32=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
6,
50,
32,
34
] | 38 | [
"34-32=2",
"6*2=12",
"50-12=38"
] | Current State: 38:[6, 50, 32, 34], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [6, 50, 2]
Generated Node #2: [6, 50, 2] from Operation: 34-32=2
Current State: 38:[6, 50, 2], Operations: ['34-32=2']
Exploring Operation: 6*2=12, Resulting Numbers: [50, 12]
Generated Node #3: [50, 12] from Operation: 6*2=12
Current State: 38:[50, 12], Operations: ['34-32=2', '6*2=12']
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
96,
34,
48,
5
] | 19 | [
"96-34=62",
"48-5=43",
"62-43=19"
] | Current State: 19:[96, 34, 48, 5], Operations: []
Exploring Operation: 96-34=62, Resulting Numbers: [48, 5, 62]
Generated Node #2: [48, 5, 62] from Operation: 96-34=62
Current State: 19:[48, 5, 62], Operations: ['96-34=62']
Exploring Operation: 48-5=43, Resulting Numbers: [62, 43]
Generated Node #3: [62, 43] from Operation: 48-5=43
Current State: 19:[62, 43], Operations: ['96-34=62', '48-5=43']
Exploring Operation: 62-43=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
17,
36,
18,
24
] | 60 | [
"18-17=1",
"36+24=60",
"1*60=60"
] | Current State: 60:[17, 36, 18, 24], Operations: []
Exploring Operation: 18-17=1, Resulting Numbers: [36, 24, 1]
Generated Node #2: [36, 24, 1] from Operation: 18-17=1
Current State: 60:[36, 24, 1], Operations: ['18-17=1']
Exploring Operation: 36+24=60, Resulting Numbers: [1, 60]
Generated Node #3: [1, 60] from Operation: 36+24=60
Current State: 60:[1, 60], Operations: ['18-17=1', '36+24=60']
Exploring Operation: 1*60=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
27,
78,
36,
33
] | 71 | [
"78*36=2808",
"2808/27=104",
"104-33=71"
] | Current State: 71:[27, 78, 36, 33], Operations: []
Exploring Operation: 78*36=2808, Resulting Numbers: [27, 33, 2808]
Generated Node #2: [27, 33, 2808] from Operation: 78*36=2808
Current State: 71:[27, 33, 2808], Operations: ['78*36=2808']
Exploring Operation: 2808/27=104, Resulting Numbers: [33, 104]
Generated Node #3: [33, 104] from Operation: 2808/27=104
Current State: 71:[33, 104], Operations: ['78*36=2808', '2808/27=104']
Exploring Operation: 104-33=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
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