nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
66,
41,
26,
20
] | 20 | [
"66-41=25",
"26-25=1",
"20*1=20"
] | Current State: 20:[66, 41, 26, 20], Operations: []
Exploring Operation: 66-41=25, Resulting Numbers: [26, 20, 25]
Generated Node #2: [26, 20, 25] from Operation: 66-41=25
Current State: 20:[26, 20, 25], Operations: ['66-41=25']
Exploring Operation: 26-25=1, Resulting Numbers: [20, 1]
Generated Node #3: [20, 1] from Operation: 26-25=1
Current State: 20:[20, 1], Operations: ['66-41=25', '26-25=1']
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
41,
27,
34,
53
] | 31 | [
"41*27=1107",
"1107-53=1054",
"1054/34=31"
] | Current State: 31:[41, 27, 34, 53], Operations: []
Exploring Operation: 41*27=1107, Resulting Numbers: [34, 53, 1107]
Generated Node #2: [34, 53, 1107] from Operation: 41*27=1107
Current State: 31:[34, 53, 1107], Operations: ['41*27=1107']
Exploring Operation: 1107-53=1054, Resulting Numbers: [34, 1054]
Generated Node #3: [34, 1054] from Operation: 1107-53=1054
Current State: 31:[34, 1054], Operations: ['41*27=1107', '1107-53=1054']
Exploring Operation: 1054/34=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
36,
23,
22,
85
] | 68 | [
"36*85=3060",
"23+22=45",
"3060/45=68"
] | Current State: 68:[36, 23, 22, 85], Operations: []
Exploring Operation: 36*85=3060, Resulting Numbers: [23, 22, 3060]
Generated Node #2: [23, 22, 3060] from Operation: 36*85=3060
Current State: 68:[23, 22, 3060], Operations: ['36*85=3060']
Exploring Operation: 23+22=45, Resulting Numbers: [3060, 45]
Generated Node #3: [3060, 45] from Operation: 23+22=45
Current State: 68:[3060, 45], Operations: ['36*85=3060', '23+22=45']
Exploring Operation: 3060/45=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
16,
76,
51,
68
] | 53 | [
"76-68=8",
"16/8=2",
"51+2=53"
] | Current State: 53:[16, 76, 51, 68], Operations: []
Exploring Operation: 76-68=8, Resulting Numbers: [16, 51, 8]
Generated Node #2: [16, 51, 8] from Operation: 76-68=8
Current State: 53:[16, 51, 8], Operations: ['76-68=8']
Exploring Operation: 16/8=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 16/8=2
Current State: 53:[51, 2], Operations: ['76-68=8', '16/8=2']
Exploring Operation: 51+2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
12,
45,
3,
79
] | 44 | [
"12+79=91",
"45*3=135",
"135-91=44"
] | Current State: 44:[12, 45, 3, 79], Operations: []
Exploring Operation: 12+79=91, Resulting Numbers: [45, 3, 91]
Generated Node #2: [45, 3, 91] from Operation: 12+79=91
Current State: 44:[45, 3, 91], Operations: ['12+79=91']
Exploring Operation: 45*3=135, Resulting Numbers: [91, 135]
Generated Node #3: [91, 135] from Operation: 45*3=135
Current State: 44:[91, 135], Operations: ['12+79=91', '45*3=135']
Exploring Operation: 135-91=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
9,
79,
75,
53
] | 48 | [
"79-9=70",
"75-53=22",
"70-22=48"
] | Current State: 48:[9, 79, 75, 53], Operations: []
Exploring Operation: 79-9=70, Resulting Numbers: [75, 53, 70]
Generated Node #2: [75, 53, 70] from Operation: 79-9=70
Current State: 48:[75, 53, 70], Operations: ['79-9=70']
Exploring Operation: 75-53=22, Resulting Numbers: [70, 22]
Generated Node #3: [70, 22] from Operation: 75-53=22
Current State: 48:[70, 22], Operations: ['79-9=70', '75-53=22']
Exploring Operation: 70-22=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
27,
14,
47,
19
] | 92 | [
"27*47=1269",
"19+1269=1288",
"1288/14=92"
] | Current State: 92:[27, 14, 47, 19], Operations: []
Exploring Operation: 27*47=1269, Resulting Numbers: [14, 19, 1269]
Generated Node #2: [14, 19, 1269] from Operation: 27*47=1269
Current State: 92:[14, 19, 1269], Operations: ['27*47=1269']
Exploring Operation: 19+1269=1288, Resulting Numbers: [14, 1288]
Generated Node #3: [14, 1288] from Operation: 19+1269=1288
Current State: 92:[14, 1288], Operations: ['27*47=1269', '19+1269=1288']
Exploring Operation: 1288/14=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
19,
61,
35,
44
] | 57 | [
"61+44=105",
"19*105=1995",
"1995/35=57"
] | Current State: 57:[19, 61, 35, 44], Operations: []
Exploring Operation: 61+44=105, Resulting Numbers: [19, 35, 105]
Generated Node #2: [19, 35, 105] from Operation: 61+44=105
Current State: 57:[19, 35, 105], Operations: ['61+44=105']
Exploring Operation: 19*105=1995, Resulting Numbers: [35, 1995]
Generated Node #3: [35, 1995] from Operation: 19*105=1995
Current State: 57:[35, 1995], Operations: ['61+44=105', '19*105=1995']
Exploring Operation: 1995/35=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
56,
26,
31,
60
] | 68 | [
"31-26=5",
"60/5=12",
"56+12=68"
] | Current State: 68:[56, 26, 31, 60], Operations: []
Exploring Operation: 31-26=5, Resulting Numbers: [56, 60, 5]
Generated Node #2: [56, 60, 5] from Operation: 31-26=5
Current State: 68:[56, 60, 5], Operations: ['31-26=5']
Exploring Operation: 60/5=12, Resulting Numbers: [56, 12]
Generated Node #3: [56, 12] from Operation: 60/5=12
Current State: 68:[56, 12], Operations: ['31-26=5', '60/5=12']
Exploring Operation: 56+12=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
82,
13,
47,
55
] | 33 | [
"82-13=69",
"47+55=102",
"102-69=33"
] | Current State: 33:[82, 13, 47, 55], Operations: []
Exploring Operation: 82-13=69, Resulting Numbers: [47, 55, 69]
Generated Node #2: [47, 55, 69] from Operation: 82-13=69
Current State: 33:[47, 55, 69], Operations: ['82-13=69']
Exploring Operation: 47+55=102, Resulting Numbers: [69, 102]
Generated Node #3: [69, 102] from Operation: 47+55=102
Current State: 33:[69, 102], Operations: ['82-13=69', '47+55=102']
Exploring Operation: 102-69=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
57,
40,
1,
4
] | 48 | [
"57+1=58",
"40/4=10",
"58-10=48"
] | Current State: 48:[57, 40, 1, 4], Operations: []
Exploring Operation: 57+1=58, Resulting Numbers: [40, 4, 58]
Generated Node #2: [40, 4, 58] from Operation: 57+1=58
Current State: 48:[40, 4, 58], Operations: ['57+1=58']
Exploring Operation: 40/4=10, Resulting Numbers: [58, 10]
Generated Node #3: [58, 10] from Operation: 40/4=10
Current State: 48:[58, 10], Operations: ['57+1=58', '40/4=10']
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
43,
61,
58,
92
] | 45 | [
"43+92=135",
"61-58=3",
"135/3=45"
] | Current State: 45:[43, 61, 58, 92], Operations: []
Exploring Operation: 43+92=135, Resulting Numbers: [61, 58, 135]
Generated Node #2: [61, 58, 135] from Operation: 43+92=135
Current State: 45:[61, 58, 135], Operations: ['43+92=135']
Exploring Operation: 61-58=3, Resulting Numbers: [135, 3]
Generated Node #3: [135, 3] from Operation: 61-58=3
Current State: 45:[135, 3], Operations: ['43+92=135', '61-58=3']
Exploring Operation: 135/3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
28,
2,
17,
20
] | 82 | [
"28+20=48",
"2*17=34",
"48+34=82"
] | Current State: 82:[28, 2, 17, 20], Operations: []
Exploring Operation: 28+20=48, Resulting Numbers: [2, 17, 48]
Generated Node #2: [2, 17, 48] from Operation: 28+20=48
Current State: 82:[2, 17, 48], Operations: ['28+20=48']
Exploring Operation: 2*17=34, Resulting Numbers: [48, 34]
Generated Node #3: [48, 34] from Operation: 2*17=34
Current State: 82:[48, 34], Operations: ['28+20=48', '2*17=34']
Exploring Operation: 48+34=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
86,
73,
22,
23
] | 32 | [
"86-73=13",
"22+23=45",
"45-13=32"
] | Current State: 32:[86, 73, 22, 23], Operations: []
Exploring Operation: 86-73=13, Resulting Numbers: [22, 23, 13]
Generated Node #2: [22, 23, 13] from Operation: 86-73=13
Current State: 32:[22, 23, 13], Operations: ['86-73=13']
Exploring Operation: 22+23=45, Resulting Numbers: [13, 45]
Generated Node #3: [13, 45] from Operation: 22+23=45
Current State: 32:[13, 45], Operations: ['86-73=13', '22+23=45']
Exploring Operation: 45-13=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
36,
15,
43,
52
] | 43 | [
"36+15=51",
"52-51=1",
"43*1=43"
] | Current State: 43:[36, 15, 43, 52], Operations: []
Exploring Operation: 36+15=51, Resulting Numbers: [43, 52, 51]
Generated Node #2: [43, 52, 51] from Operation: 36+15=51
Current State: 43:[43, 52, 51], Operations: ['36+15=51']
Exploring Operation: 52-51=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 52-51=1
Current State: 43:[43, 1], Operations: ['36+15=51', '52-51=1']
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
88,
66,
96,
74
] | 44 | [
"88-66=22",
"96-74=22",
"22+22=44"
] | Current State: 44:[88, 66, 96, 74], Operations: []
Exploring Operation: 88-66=22, Resulting Numbers: [96, 74, 22]
Generated Node #2: [96, 74, 22] from Operation: 88-66=22
Current State: 44:[96, 74, 22], Operations: ['88-66=22']
Exploring Operation: 96-74=22, Resulting Numbers: [22, 22]
Generated Node #3: [22, 22] from Operation: 96-74=22
Current State: 44:[22, 22], Operations: ['88-66=22', '96-74=22']
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
26,
18,
48,
57
] | 17 | [
"26-18=8",
"57-48=9",
"8+9=17"
] | Current State: 17:[26, 18, 48, 57], Operations: []
Exploring Operation: 26-18=8, Resulting Numbers: [48, 57, 8]
Generated Node #2: [48, 57, 8] from Operation: 26-18=8
Current State: 17:[48, 57, 8], Operations: ['26-18=8']
Exploring Operation: 57-48=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 57-48=9
Current State: 17:[8, 9], Operations: ['26-18=8', '57-48=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
39,
1,
14,
42
] | 35 | [
"39-1=38",
"42/14=3",
"38-3=35"
] | Current State: 35:[39, 1, 14, 42], Operations: []
Exploring Operation: 39-1=38, Resulting Numbers: [14, 42, 38]
Generated Node #2: [14, 42, 38] from Operation: 39-1=38
Current State: 35:[14, 42, 38], Operations: ['39-1=38']
Exploring Operation: 42/14=3, Resulting Numbers: [38, 3]
Generated Node #3: [38, 3] from Operation: 42/14=3
Current State: 35:[38, 3], Operations: ['39-1=38', '42/14=3']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
80,
65,
75,
6
] | 20 | [
"75-65=10",
"6*10=60",
"80-60=20"
] | Current State: 20:[80, 65, 75, 6], Operations: []
Exploring Operation: 75-65=10, Resulting Numbers: [80, 6, 10]
Generated Node #2: [80, 6, 10] from Operation: 75-65=10
Current State: 20:[80, 6, 10], Operations: ['75-65=10']
Exploring Operation: 6*10=60, Resulting Numbers: [80, 60]
Generated Node #3: [80, 60] from Operation: 6*10=60
Current State: 20:[80, 60], Operations: ['75-65=10', '6*10=60']
Exploring Operation: 80-60=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
60,
25,
30,
86
] | 30 | [
"60+25=85",
"86-85=1",
"30*1=30"
] | Current State: 30:[60, 25, 30, 86], Operations: []
Exploring Operation: 60+25=85, Resulting Numbers: [30, 86, 85]
Generated Node #2: [30, 86, 85] from Operation: 60+25=85
Current State: 30:[30, 86, 85], Operations: ['60+25=85']
Exploring Operation: 86-85=1, Resulting Numbers: [30, 1]
Generated Node #3: [30, 1] from Operation: 86-85=1
Current State: 30:[30, 1], Operations: ['60+25=85', '86-85=1']
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
45,
9,
5,
6
] | 75 | [
"45*9=405",
"405/5=81",
"81-6=75"
] | Current State: 75:[45, 9, 5, 6], Operations: []
Exploring Operation: 45*9=405, Resulting Numbers: [5, 6, 405]
Generated Node #2: [5, 6, 405] from Operation: 45*9=405
Current State: 75:[5, 6, 405], Operations: ['45*9=405']
Exploring Operation: 405/5=81, Resulting Numbers: [6, 81]
Generated Node #3: [6, 81] from Operation: 405/5=81
Current State: 75:[6, 81], Operations: ['45*9=405', '405/5=81']
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
59,
66,
37,
77
] | 48 | [
"66-59=7",
"77/7=11",
"37+11=48"
] | Current State: 48:[59, 66, 37, 77], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [37, 77, 7]
Generated Node #2: [37, 77, 7] from Operation: 66-59=7
Current State: 48:[37, 77, 7], Operations: ['66-59=7']
Exploring Operation: 77/7=11, Resulting Numbers: [37, 11]
Generated Node #3: [37, 11] from Operation: 77/7=11
Current State: 48:[37, 11], Operations: ['66-59=7', '77/7=11']
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
29,
56,
7,
5
] | 16 | [
"29-5=24",
"56/7=8",
"24-8=16"
] | Current State: 16:[29, 56, 7, 5], Operations: []
Exploring Operation: 29-5=24, Resulting Numbers: [56, 7, 24]
Generated Node #2: [56, 7, 24] from Operation: 29-5=24
Current State: 16:[56, 7, 24], Operations: ['29-5=24']
Exploring Operation: 56/7=8, Resulting Numbers: [24, 8]
Generated Node #3: [24, 8] from Operation: 56/7=8
Current State: 16:[24, 8], Operations: ['29-5=24', '56/7=8']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
29,
52,
59,
4
] | 17 | [
"59-29=30",
"52/4=13",
"30-13=17"
] | Current State: 17:[29, 52, 59, 4], Operations: []
Exploring Operation: 59-29=30, Resulting Numbers: [52, 4, 30]
Generated Node #2: [52, 4, 30] from Operation: 59-29=30
Current State: 17:[52, 4, 30], Operations: ['59-29=30']
Exploring Operation: 52/4=13, Resulting Numbers: [30, 13]
Generated Node #3: [30, 13] from Operation: 52/4=13
Current State: 17:[30, 13], Operations: ['59-29=30', '52/4=13']
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
28,
25,
9,
21
] | 38 | [
"28-21=7",
"9*7=63",
"63-25=38"
] | Current State: 38:[28, 25, 9, 21], Operations: []
Exploring Operation: 28-21=7, Resulting Numbers: [25, 9, 7]
Generated Node #2: [25, 9, 7] from Operation: 28-21=7
Current State: 38:[25, 9, 7], Operations: ['28-21=7']
Exploring Operation: 9*7=63, Resulting Numbers: [25, 63]
Generated Node #3: [25, 63] from Operation: 9*7=63
Current State: 38:[25, 63], Operations: ['28-21=7', '9*7=63']
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
40,
43,
2,
3
] | 57 | [
"40+2=42",
"42/3=14",
"43+14=57"
] | Current State: 57:[40, 43, 2, 3], Operations: []
Exploring Operation: 40+2=42, Resulting Numbers: [43, 3, 42]
Generated Node #2: [43, 3, 42] from Operation: 40+2=42
Current State: 57:[43, 3, 42], Operations: ['40+2=42']
Exploring Operation: 42/3=14, Resulting Numbers: [43, 14]
Generated Node #3: [43, 14] from Operation: 42/3=14
Current State: 57:[43, 14], Operations: ['40+2=42', '42/3=14']
Exploring Operation: 43+14=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
14,
58,
15,
84
] | 49 | [
"84/14=6",
"58-15=43",
"6+43=49"
] | Current State: 49:[14, 58, 15, 84], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [58, 15, 6]
Generated Node #2: [58, 15, 6] from Operation: 84/14=6
Current State: 49:[58, 15, 6], Operations: ['84/14=6']
Exploring Operation: 58-15=43, Resulting Numbers: [6, 43]
Generated Node #3: [6, 43] from Operation: 58-15=43
Current State: 49:[6, 43], Operations: ['84/14=6', '58-15=43']
Exploring Operation: 6+43=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
94,
22,
6,
52
] | 28 | [
"94+22=116",
"52+116=168",
"168/6=28"
] | Current State: 28:[94, 22, 6, 52], Operations: []
Exploring Operation: 94+22=116, Resulting Numbers: [6, 52, 116]
Generated Node #2: [6, 52, 116] from Operation: 94+22=116
Current State: 28:[6, 52, 116], Operations: ['94+22=116']
Exploring Operation: 52+116=168, Resulting Numbers: [6, 168]
Generated Node #3: [6, 168] from Operation: 52+116=168
Current State: 28:[6, 168], Operations: ['94+22=116', '52+116=168']
Exploring Operation: 168/6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
76,
47,
75,
73
] | 66 | [
"76-73=3",
"47*3=141",
"141-75=66"
] | Current State: 66:[76, 47, 75, 73], Operations: []
Exploring Operation: 76-73=3, Resulting Numbers: [47, 75, 3]
Generated Node #2: [47, 75, 3] from Operation: 76-73=3
Current State: 66:[47, 75, 3], Operations: ['76-73=3']
Exploring Operation: 47*3=141, Resulting Numbers: [75, 141]
Generated Node #3: [75, 141] from Operation: 47*3=141
Current State: 66:[75, 141], Operations: ['76-73=3', '47*3=141']
Exploring Operation: 141-75=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
82,
66,
39,
59
] | 50 | [
"82+66=148",
"39+59=98",
"148-98=50"
] | Current State: 50:[82, 66, 39, 59], Operations: []
Exploring Operation: 82+66=148, Resulting Numbers: [39, 59, 148]
Generated Node #2: [39, 59, 148] from Operation: 82+66=148
Current State: 50:[39, 59, 148], Operations: ['82+66=148']
Exploring Operation: 39+59=98, Resulting Numbers: [148, 98]
Generated Node #3: [148, 98] from Operation: 39+59=98
Current State: 50:[148, 98], Operations: ['82+66=148', '39+59=98']
Exploring Operation: 148-98=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
73,
5,
48,
56
] | 13 | [
"73+48=121",
"121-56=65",
"65/5=13"
] | Current State: 13:[73, 5, 48, 56], Operations: []
Exploring Operation: 73+48=121, Resulting Numbers: [5, 56, 121]
Generated Node #2: [5, 56, 121] from Operation: 73+48=121
Current State: 13:[5, 56, 121], Operations: ['73+48=121']
Exploring Operation: 121-56=65, Resulting Numbers: [5, 65]
Generated Node #3: [5, 65] from Operation: 121-56=65
Current State: 13:[5, 65], Operations: ['73+48=121', '121-56=65']
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
47,
5,
81,
78
] | 32 | [
"81-78=3",
"5*3=15",
"47-15=32"
] | Current State: 32:[47, 5, 81, 78], Operations: []
Exploring Operation: 81-78=3, Resulting Numbers: [47, 5, 3]
Generated Node #2: [47, 5, 3] from Operation: 81-78=3
Current State: 32:[47, 5, 3], Operations: ['81-78=3']
Exploring Operation: 5*3=15, Resulting Numbers: [47, 15]
Generated Node #3: [47, 15] from Operation: 5*3=15
Current State: 32:[47, 15], Operations: ['81-78=3', '5*3=15']
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
64,
1,
59,
54
] | 68 | [
"64-1=63",
"59-54=5",
"63+5=68"
] | Current State: 68:[64, 1, 59, 54], Operations: []
Exploring Operation: 64-1=63, Resulting Numbers: [59, 54, 63]
Generated Node #2: [59, 54, 63] from Operation: 64-1=63
Current State: 68:[59, 54, 63], Operations: ['64-1=63']
Exploring Operation: 59-54=5, Resulting Numbers: [63, 5]
Generated Node #3: [63, 5] from Operation: 59-54=5
Current State: 68:[63, 5], Operations: ['64-1=63', '59-54=5']
Exploring Operation: 63+5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
4,
2,
1,
91
] | 84 | [
"4+2=6",
"91-1=90",
"90-6=84"
] | Current State: 84:[4, 2, 1, 91], Operations: []
Exploring Operation: 4+2=6, Resulting Numbers: [1, 91, 6]
Generated Node #2: [1, 91, 6] from Operation: 4+2=6
Current State: 84:[1, 91, 6], Operations: ['4+2=6']
Exploring Operation: 91-1=90, Resulting Numbers: [6, 90]
Generated Node #3: [6, 90] from Operation: 91-1=90
Current State: 84:[6, 90], Operations: ['4+2=6', '91-1=90']
Exploring Operation: 90-6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
98,
45,
3,
45
] | 98 | [
"45-45=0",
"3*0=0",
"98+0=98"
] | Current State: 98:[98, 45, 3, 45], Operations: []
Exploring Operation: 45-45=0, Resulting Numbers: [98, 3, 0]
Generated Node #2: [98, 3, 0] from Operation: 45-45=0
Current State: 98:[98, 3, 0], Operations: ['45-45=0']
Exploring Operation: 3*0=0, Resulting Numbers: [98, 0]
Generated Node #3: [98, 0] from Operation: 3*0=0
Current State: 98:[98, 0], Operations: ['45-45=0', '3*0=0']
Exploring Operation: 98+0=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
9,
33,
17,
14
] | 20 | [
"9+33=42",
"42/14=3",
"17+3=20"
] | Current State: 20:[9, 33, 17, 14], Operations: []
Exploring Operation: 9+33=42, Resulting Numbers: [17, 14, 42]
Generated Node #2: [17, 14, 42] from Operation: 9+33=42
Current State: 20:[17, 14, 42], Operations: ['9+33=42']
Exploring Operation: 42/14=3, Resulting Numbers: [17, 3]
Generated Node #3: [17, 3] from Operation: 42/14=3
Current State: 20:[17, 3], Operations: ['9+33=42', '42/14=3']
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
3,
51,
59,
85
] | 22 | [
"51-3=48",
"85-59=26",
"48-26=22"
] | Current State: 22:[3, 51, 59, 85], Operations: []
Exploring Operation: 51-3=48, Resulting Numbers: [59, 85, 48]
Generated Node #2: [59, 85, 48] from Operation: 51-3=48
Current State: 22:[59, 85, 48], Operations: ['51-3=48']
Exploring Operation: 85-59=26, Resulting Numbers: [48, 26]
Generated Node #3: [48, 26] from Operation: 85-59=26
Current State: 22:[48, 26], Operations: ['51-3=48', '85-59=26']
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
6,
97,
43,
74
] | 72 | [
"6+97=103",
"74-43=31",
"103-31=72"
] | Current State: 72:[6, 97, 43, 74], Operations: []
Exploring Operation: 6+97=103, Resulting Numbers: [43, 74, 103]
Generated Node #2: [43, 74, 103] from Operation: 6+97=103
Current State: 72:[43, 74, 103], Operations: ['6+97=103']
Exploring Operation: 74-43=31, Resulting Numbers: [103, 31]
Generated Node #3: [103, 31] from Operation: 74-43=31
Current State: 72:[103, 31], Operations: ['6+97=103', '74-43=31']
Exploring Operation: 103-31=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
56,
7,
13,
49
] | 27 | [
"56+7=63",
"49-13=36",
"63-36=27"
] | Current State: 27:[56, 7, 13, 49], Operations: []
Exploring Operation: 56+7=63, Resulting Numbers: [13, 49, 63]
Generated Node #2: [13, 49, 63] from Operation: 56+7=63
Current State: 27:[13, 49, 63], Operations: ['56+7=63']
Exploring Operation: 49-13=36, Resulting Numbers: [63, 36]
Generated Node #3: [63, 36] from Operation: 49-13=36
Current State: 27:[63, 36], Operations: ['56+7=63', '49-13=36']
Exploring Operation: 63-36=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
8,
14,
63,
8
] | 63 | [
"8-8=0",
"14*0=0",
"63+0=63"
] | Current State: 63:[8, 14, 63, 8], Operations: []
Exploring Operation: 8-8=0, Resulting Numbers: [14, 63, 0]
Generated Node #2: [14, 63, 0] from Operation: 8-8=0
Current State: 63:[14, 63, 0], Operations: ['8-8=0']
Exploring Operation: 14*0=0, Resulting Numbers: [63, 0]
Generated Node #3: [63, 0] from Operation: 14*0=0
Current State: 63:[63, 0], Operations: ['8-8=0', '14*0=0']
Exploring Operation: 63+0=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
92,
93,
49,
67
] | 17 | [
"93-92=1",
"67-49=18",
"18-1=17"
] | Current State: 17:[92, 93, 49, 67], Operations: []
Exploring Operation: 93-92=1, Resulting Numbers: [49, 67, 1]
Generated Node #2: [49, 67, 1] from Operation: 93-92=1
Current State: 17:[49, 67, 1], Operations: ['93-92=1']
Exploring Operation: 67-49=18, Resulting Numbers: [1, 18]
Generated Node #3: [1, 18] from Operation: 67-49=18
Current State: 17:[1, 18], Operations: ['93-92=1', '67-49=18']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
78,
98,
9,
79
] | 11 | [
"98-78=20",
"79+20=99",
"99/9=11"
] | Current State: 11:[78, 98, 9, 79], Operations: []
Exploring Operation: 98-78=20, Resulting Numbers: [9, 79, 20]
Generated Node #2: [9, 79, 20] from Operation: 98-78=20
Current State: 11:[9, 79, 20], Operations: ['98-78=20']
Exploring Operation: 79+20=99, Resulting Numbers: [9, 99]
Generated Node #3: [9, 99] from Operation: 79+20=99
Current State: 11:[9, 99], Operations: ['98-78=20', '79+20=99']
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
88,
66,
44,
86
] | 23 | [
"88/44=2",
"86/2=43",
"66-43=23"
] | Current State: 23:[88, 66, 44, 86], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [66, 86, 2]
Generated Node #2: [66, 86, 2] from Operation: 88/44=2
Current State: 23:[66, 86, 2], Operations: ['88/44=2']
Exploring Operation: 86/2=43, Resulting Numbers: [66, 43]
Generated Node #3: [66, 43] from Operation: 86/2=43
Current State: 23:[66, 43], Operations: ['88/44=2', '86/2=43']
Exploring Operation: 66-43=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
57,
34,
55,
43
] | 60 | [
"57-55=2",
"34/2=17",
"43+17=60"
] | Current State: 60:[57, 34, 55, 43], Operations: []
Exploring Operation: 57-55=2, Resulting Numbers: [34, 43, 2]
Generated Node #2: [34, 43, 2] from Operation: 57-55=2
Current State: 60:[34, 43, 2], Operations: ['57-55=2']
Exploring Operation: 34/2=17, Resulting Numbers: [43, 17]
Generated Node #3: [43, 17] from Operation: 34/2=17
Current State: 60:[43, 17], Operations: ['57-55=2', '34/2=17']
Exploring Operation: 43+17=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
20,
89,
27,
5
] | 54 | [
"27-20=7",
"5*7=35",
"89-35=54"
] | Current State: 54:[20, 89, 27, 5], Operations: []
Exploring Operation: 27-20=7, Resulting Numbers: [89, 5, 7]
Generated Node #2: [89, 5, 7] from Operation: 27-20=7
Current State: 54:[89, 5, 7], Operations: ['27-20=7']
Exploring Operation: 5*7=35, Resulting Numbers: [89, 35]
Generated Node #3: [89, 35] from Operation: 5*7=35
Current State: 54:[89, 35], Operations: ['27-20=7', '5*7=35']
Exploring Operation: 89-35=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
41,
77,
11,
8
] | 74 | [
"41-8=33",
"33/11=3",
"77-3=74"
] | Current State: 74:[41, 77, 11, 8], Operations: []
Exploring Operation: 41-8=33, Resulting Numbers: [77, 11, 33]
Generated Node #2: [77, 11, 33] from Operation: 41-8=33
Current State: 74:[77, 11, 33], Operations: ['41-8=33']
Exploring Operation: 33/11=3, Resulting Numbers: [77, 3]
Generated Node #3: [77, 3] from Operation: 33/11=3
Current State: 74:[77, 3], Operations: ['41-8=33', '33/11=3']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
63,
22,
3,
70
] | 87 | [
"63-22=41",
"70-41=29",
"3*29=87"
] | Current State: 87:[63, 22, 3, 70], Operations: []
Exploring Operation: 63-22=41, Resulting Numbers: [3, 70, 41]
Generated Node #2: [3, 70, 41] from Operation: 63-22=41
Current State: 87:[3, 70, 41], Operations: ['63-22=41']
Exploring Operation: 70-41=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 70-41=29
Current State: 87:[3, 29], Operations: ['63-22=41', '70-41=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
3,
63,
24,
58
] | 77 | [
"3*24=72",
"63-58=5",
"72+5=77"
] | Current State: 77:[3, 63, 24, 58], Operations: []
Exploring Operation: 3*24=72, Resulting Numbers: [63, 58, 72]
Generated Node #2: [63, 58, 72] from Operation: 3*24=72
Current State: 77:[63, 58, 72], Operations: ['3*24=72']
Exploring Operation: 63-58=5, Resulting Numbers: [72, 5]
Generated Node #3: [72, 5] from Operation: 63-58=5
Current State: 77:[72, 5], Operations: ['3*24=72', '63-58=5']
Exploring Operation: 72+5=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
93,
90,
5,
31
] | 44 | [
"93-31=62",
"90/5=18",
"62-18=44"
] | Current State: 44:[93, 90, 5, 31], Operations: []
Exploring Operation: 93-31=62, Resulting Numbers: [90, 5, 62]
Generated Node #2: [90, 5, 62] from Operation: 93-31=62
Current State: 44:[90, 5, 62], Operations: ['93-31=62']
Exploring Operation: 90/5=18, Resulting Numbers: [62, 18]
Generated Node #3: [62, 18] from Operation: 90/5=18
Current State: 44:[62, 18], Operations: ['93-31=62', '90/5=18']
Exploring Operation: 62-18=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
55,
8,
35,
7
] | 76 | [
"55-35=20",
"8*7=56",
"20+56=76"
] | Current State: 76:[55, 8, 35, 7], Operations: []
Exploring Operation: 55-35=20, Resulting Numbers: [8, 7, 20]
Generated Node #2: [8, 7, 20] from Operation: 55-35=20
Current State: 76:[8, 7, 20], Operations: ['55-35=20']
Exploring Operation: 8*7=56, Resulting Numbers: [20, 56]
Generated Node #3: [20, 56] from Operation: 8*7=56
Current State: 76:[20, 56], Operations: ['55-35=20', '8*7=56']
Exploring Operation: 20+56=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
62,
87,
43,
36
] | 70 | [
"62+87=149",
"43+36=79",
"149-79=70"
] | Current State: 70:[62, 87, 43, 36], Operations: []
Exploring Operation: 62+87=149, Resulting Numbers: [43, 36, 149]
Generated Node #2: [43, 36, 149] from Operation: 62+87=149
Current State: 70:[43, 36, 149], Operations: ['62+87=149']
Exploring Operation: 43+36=79, Resulting Numbers: [149, 79]
Generated Node #3: [149, 79] from Operation: 43+36=79
Current State: 70:[149, 79], Operations: ['62+87=149', '43+36=79']
Exploring Operation: 149-79=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
1,
41,
85,
27
] | 98 | [
"41-1=40",
"85-27=58",
"40+58=98"
] | Current State: 98:[1, 41, 85, 27], Operations: []
Exploring Operation: 41-1=40, Resulting Numbers: [85, 27, 40]
Generated Node #2: [85, 27, 40] from Operation: 41-1=40
Current State: 98:[85, 27, 40], Operations: ['41-1=40']
Exploring Operation: 85-27=58, Resulting Numbers: [40, 58]
Generated Node #3: [40, 58] from Operation: 85-27=58
Current State: 98:[40, 58], Operations: ['41-1=40', '85-27=58']
Exploring Operation: 40+58=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
23,
94,
67,
30
] | 26 | [
"94-23=71",
"67+30=97",
"97-71=26"
] | Current State: 26:[23, 94, 67, 30], Operations: []
Exploring Operation: 94-23=71, Resulting Numbers: [67, 30, 71]
Generated Node #2: [67, 30, 71] from Operation: 94-23=71
Current State: 26:[67, 30, 71], Operations: ['94-23=71']
Exploring Operation: 67+30=97, Resulting Numbers: [71, 97]
Generated Node #3: [71, 97] from Operation: 67+30=97
Current State: 26:[71, 97], Operations: ['94-23=71', '67+30=97']
Exploring Operation: 97-71=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
24,
74,
44,
90
] | 36 | [
"24+74=98",
"44+90=134",
"134-98=36"
] | Current State: 36:[24, 74, 44, 90], Operations: []
Exploring Operation: 24+74=98, Resulting Numbers: [44, 90, 98]
Generated Node #2: [44, 90, 98] from Operation: 24+74=98
Current State: 36:[44, 90, 98], Operations: ['24+74=98']
Exploring Operation: 44+90=134, Resulting Numbers: [98, 134]
Generated Node #3: [98, 134] from Operation: 44+90=134
Current State: 36:[98, 134], Operations: ['24+74=98', '44+90=134']
Exploring Operation: 134-98=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
63,
3,
68,
6
] | 57 | [
"63+3=66",
"66/6=11",
"68-11=57"
] | Current State: 57:[63, 3, 68, 6], Operations: []
Exploring Operation: 63+3=66, Resulting Numbers: [68, 6, 66]
Generated Node #2: [68, 6, 66] from Operation: 63+3=66
Current State: 57:[68, 6, 66], Operations: ['63+3=66']
Exploring Operation: 66/6=11, Resulting Numbers: [68, 11]
Generated Node #3: [68, 11] from Operation: 66/6=11
Current State: 57:[68, 11], Operations: ['63+3=66', '66/6=11']
Exploring Operation: 68-11=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
79,
27,
77,
29
] | 28 | [
"79-77=2",
"27+29=56",
"56/2=28"
] | Current State: 28:[79, 27, 77, 29], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [27, 29, 2]
Generated Node #2: [27, 29, 2] from Operation: 79-77=2
Current State: 28:[27, 29, 2], Operations: ['79-77=2']
Exploring Operation: 27+29=56, Resulting Numbers: [2, 56]
Generated Node #3: [2, 56] from Operation: 27+29=56
Current State: 28:[2, 56], Operations: ['79-77=2', '27+29=56']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
69,
6,
35,
25
] | 59 | [
"35+25=60",
"60/6=10",
"69-10=59"
] | Current State: 59:[69, 6, 35, 25], Operations: []
Exploring Operation: 35+25=60, Resulting Numbers: [69, 6, 60]
Generated Node #2: [69, 6, 60] from Operation: 35+25=60
Current State: 59:[69, 6, 60], Operations: ['35+25=60']
Exploring Operation: 60/6=10, Resulting Numbers: [69, 10]
Generated Node #3: [69, 10] from Operation: 60/6=10
Current State: 59:[69, 10], Operations: ['35+25=60', '60/6=10']
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
4,
17,
64,
67
] | 71 | [
"4*17=68",
"67-64=3",
"68+3=71"
] | Current State: 71:[4, 17, 64, 67], Operations: []
Exploring Operation: 4*17=68, Resulting Numbers: [64, 67, 68]
Generated Node #2: [64, 67, 68] from Operation: 4*17=68
Current State: 71:[64, 67, 68], Operations: ['4*17=68']
Exploring Operation: 67-64=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 67-64=3
Current State: 71:[68, 3], Operations: ['4*17=68', '67-64=3']
Exploring Operation: 68+3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
77,
57,
93,
25
] | 66 | [
"77+57=134",
"93-25=68",
"134-68=66"
] | Current State: 66:[77, 57, 93, 25], Operations: []
Exploring Operation: 77+57=134, Resulting Numbers: [93, 25, 134]
Generated Node #2: [93, 25, 134] from Operation: 77+57=134
Current State: 66:[93, 25, 134], Operations: ['77+57=134']
Exploring Operation: 93-25=68, Resulting Numbers: [134, 68]
Generated Node #3: [134, 68] from Operation: 93-25=68
Current State: 66:[134, 68], Operations: ['77+57=134', '93-25=68']
Exploring Operation: 134-68=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
43,
56,
51,
11
] | 92 | [
"56-43=13",
"11*13=143",
"143-51=92"
] | Current State: 92:[43, 56, 51, 11], Operations: []
Exploring Operation: 56-43=13, Resulting Numbers: [51, 11, 13]
Generated Node #2: [51, 11, 13] from Operation: 56-43=13
Current State: 92:[51, 11, 13], Operations: ['56-43=13']
Exploring Operation: 11*13=143, Resulting Numbers: [51, 143]
Generated Node #3: [51, 143] from Operation: 11*13=143
Current State: 92:[51, 143], Operations: ['56-43=13', '11*13=143']
Exploring Operation: 143-51=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
43,
4,
9,
75
] | 58 | [
"9-4=5",
"75/5=15",
"43+15=58"
] | Current State: 58:[43, 4, 9, 75], Operations: []
Exploring Operation: 9-4=5, Resulting Numbers: [43, 75, 5]
Generated Node #2: [43, 75, 5] from Operation: 9-4=5
Current State: 58:[43, 75, 5], Operations: ['9-4=5']
Exploring Operation: 75/5=15, Resulting Numbers: [43, 15]
Generated Node #3: [43, 15] from Operation: 75/5=15
Current State: 58:[43, 15], Operations: ['9-4=5', '75/5=15']
Exploring Operation: 43+15=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
86,
39,
97,
25
] | 92 | [
"86+39=125",
"125/25=5",
"97-5=92"
] | Current State: 92:[86, 39, 97, 25], Operations: []
Exploring Operation: 86+39=125, Resulting Numbers: [97, 25, 125]
Generated Node #2: [97, 25, 125] from Operation: 86+39=125
Current State: 92:[97, 25, 125], Operations: ['86+39=125']
Exploring Operation: 125/25=5, Resulting Numbers: [97, 5]
Generated Node #3: [97, 5] from Operation: 125/25=5
Current State: 92:[97, 5], Operations: ['86+39=125', '125/25=5']
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
9,
50,
55,
10
] | 85 | [
"9*10=90",
"55-50=5",
"90-5=85"
] | Current State: 85:[9, 50, 55, 10], Operations: []
Exploring Operation: 9*10=90, Resulting Numbers: [50, 55, 90]
Generated Node #2: [50, 55, 90] from Operation: 9*10=90
Current State: 85:[50, 55, 90], Operations: ['9*10=90']
Exploring Operation: 55-50=5, Resulting Numbers: [90, 5]
Generated Node #3: [90, 5] from Operation: 55-50=5
Current State: 85:[90, 5], Operations: ['9*10=90', '55-50=5']
Exploring Operation: 90-5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
24,
78,
20,
34
] | 39 | [
"34-24=10",
"78*10=780",
"780/20=39"
] | Current State: 39:[24, 78, 20, 34], Operations: []
Exploring Operation: 34-24=10, Resulting Numbers: [78, 20, 10]
Generated Node #2: [78, 20, 10] from Operation: 34-24=10
Current State: 39:[78, 20, 10], Operations: ['34-24=10']
Exploring Operation: 78*10=780, Resulting Numbers: [20, 780]
Generated Node #3: [20, 780] from Operation: 78*10=780
Current State: 39:[20, 780], Operations: ['34-24=10', '78*10=780']
Exploring Operation: 780/20=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
3,
64,
91,
15
] | 32 | [
"15/3=5",
"91-64=27",
"5+27=32"
] | Current State: 32:[3, 64, 91, 15], Operations: []
Exploring Operation: 15/3=5, Resulting Numbers: [64, 91, 5]
Generated Node #2: [64, 91, 5] from Operation: 15/3=5
Current State: 32:[64, 91, 5], Operations: ['15/3=5']
Exploring Operation: 91-64=27, Resulting Numbers: [5, 27]
Generated Node #3: [5, 27] from Operation: 91-64=27
Current State: 32:[5, 27], Operations: ['15/3=5', '91-64=27']
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
65,
89,
23,
62
] | 69 | [
"65+89=154",
"23+62=85",
"154-85=69"
] | Current State: 69:[65, 89, 23, 62], Operations: []
Exploring Operation: 65+89=154, Resulting Numbers: [23, 62, 154]
Generated Node #2: [23, 62, 154] from Operation: 65+89=154
Current State: 69:[23, 62, 154], Operations: ['65+89=154']
Exploring Operation: 23+62=85, Resulting Numbers: [154, 85]
Generated Node #3: [154, 85] from Operation: 23+62=85
Current State: 69:[154, 85], Operations: ['65+89=154', '23+62=85']
Exploring Operation: 154-85=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
37,
45,
24,
86
] | 70 | [
"45-37=8",
"86-24=62",
"8+62=70"
] | Current State: 70:[37, 45, 24, 86], Operations: []
Exploring Operation: 45-37=8, Resulting Numbers: [24, 86, 8]
Generated Node #2: [24, 86, 8] from Operation: 45-37=8
Current State: 70:[24, 86, 8], Operations: ['45-37=8']
Exploring Operation: 86-24=62, Resulting Numbers: [8, 62]
Generated Node #3: [8, 62] from Operation: 86-24=62
Current State: 70:[8, 62], Operations: ['45-37=8', '86-24=62']
Exploring Operation: 8+62=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
7,
65,
75,
55
] | 38 | [
"65-7=58",
"75-55=20",
"58-20=38"
] | Current State: 38:[7, 65, 75, 55], Operations: []
Exploring Operation: 65-7=58, Resulting Numbers: [75, 55, 58]
Generated Node #2: [75, 55, 58] from Operation: 65-7=58
Current State: 38:[75, 55, 58], Operations: ['65-7=58']
Exploring Operation: 75-55=20, Resulting Numbers: [58, 20]
Generated Node #3: [58, 20] from Operation: 75-55=20
Current State: 38:[58, 20], Operations: ['65-7=58', '75-55=20']
Exploring Operation: 58-20=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
10,
3,
51,
43
] | 68 | [
"10+51=61",
"3*43=129",
"129-61=68"
] | Current State: 68:[10, 3, 51, 43], Operations: []
Exploring Operation: 10+51=61, Resulting Numbers: [3, 43, 61]
Generated Node #2: [3, 43, 61] from Operation: 10+51=61
Current State: 68:[3, 43, 61], Operations: ['10+51=61']
Exploring Operation: 3*43=129, Resulting Numbers: [61, 129]
Generated Node #3: [61, 129] from Operation: 3*43=129
Current State: 68:[61, 129], Operations: ['10+51=61', '3*43=129']
Exploring Operation: 129-61=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
36,
58,
6,
5
] | 21 | [
"58-36=22",
"6-5=1",
"22-1=21"
] | Current State: 21:[36, 58, 6, 5], Operations: []
Exploring Operation: 58-36=22, Resulting Numbers: [6, 5, 22]
Generated Node #2: [6, 5, 22] from Operation: 58-36=22
Current State: 21:[6, 5, 22], Operations: ['58-36=22']
Exploring Operation: 6-5=1, Resulting Numbers: [22, 1]
Generated Node #3: [22, 1] from Operation: 6-5=1
Current State: 21:[22, 1], Operations: ['58-36=22', '6-5=1']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
11,
97,
80,
13
] | 15 | [
"11+97=108",
"80+13=93",
"108-93=15"
] | Current State: 15:[11, 97, 80, 13], Operations: []
Exploring Operation: 11+97=108, Resulting Numbers: [80, 13, 108]
Generated Node #2: [80, 13, 108] from Operation: 11+97=108
Current State: 15:[80, 13, 108], Operations: ['11+97=108']
Exploring Operation: 80+13=93, Resulting Numbers: [108, 93]
Generated Node #3: [108, 93] from Operation: 80+13=93
Current State: 15:[108, 93], Operations: ['11+97=108', '80+13=93']
Exploring Operation: 108-93=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
61,
62,
78,
48
] | 31 | [
"62-61=1",
"78-48=30",
"1+30=31"
] | Current State: 31:[61, 62, 78, 48], Operations: []
Exploring Operation: 62-61=1, Resulting Numbers: [78, 48, 1]
Generated Node #2: [78, 48, 1] from Operation: 62-61=1
Current State: 31:[78, 48, 1], Operations: ['62-61=1']
Exploring Operation: 78-48=30, Resulting Numbers: [1, 30]
Generated Node #3: [1, 30] from Operation: 78-48=30
Current State: 31:[1, 30], Operations: ['62-61=1', '78-48=30']
Exploring Operation: 1+30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
59,
80,
30,
44
] | 35 | [
"80-59=21",
"44-30=14",
"21+14=35"
] | Current State: 35:[59, 80, 30, 44], Operations: []
Exploring Operation: 80-59=21, Resulting Numbers: [30, 44, 21]
Generated Node #2: [30, 44, 21] from Operation: 80-59=21
Current State: 35:[30, 44, 21], Operations: ['80-59=21']
Exploring Operation: 44-30=14, Resulting Numbers: [21, 14]
Generated Node #3: [21, 14] from Operation: 44-30=14
Current State: 35:[21, 14], Operations: ['80-59=21', '44-30=14']
Exploring Operation: 21+14=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
93,
59,
2,
59
] | 31 | [
"59/59=1",
"2+1=3",
"93/3=31"
] | Current State: 31:[93, 59, 2, 59], Operations: []
Exploring Operation: 59/59=1, Resulting Numbers: [93, 2, 1]
Generated Node #2: [93, 2, 1] from Operation: 59/59=1
Current State: 31:[93, 2, 1], Operations: ['59/59=1']
Exploring Operation: 2+1=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 2+1=3
Current State: 31:[93, 3], Operations: ['59/59=1', '2+1=3']
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
23,
54,
69,
54
] | 91 | [
"23+69=92",
"54/54=1",
"92-1=91"
] | Current State: 91:[23, 54, 69, 54], Operations: []
Exploring Operation: 23+69=92, Resulting Numbers: [54, 54, 92]
Generated Node #2: [54, 54, 92] from Operation: 23+69=92
Current State: 91:[54, 54, 92], Operations: ['23+69=92']
Exploring Operation: 54/54=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 54/54=1
Current State: 91:[92, 1], Operations: ['23+69=92', '54/54=1']
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
39,
78,
96,
21
] | 27 | [
"78/39=2",
"96/2=48",
"48-21=27"
] | Current State: 27:[39, 78, 96, 21], Operations: []
Exploring Operation: 78/39=2, Resulting Numbers: [96, 21, 2]
Generated Node #2: [96, 21, 2] from Operation: 78/39=2
Current State: 27:[96, 21, 2], Operations: ['78/39=2']
Exploring Operation: 96/2=48, Resulting Numbers: [21, 48]
Generated Node #3: [21, 48] from Operation: 96/2=48
Current State: 27:[21, 48], Operations: ['78/39=2', '96/2=48']
Exploring Operation: 48-21=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
46,
84,
16,
10
] | 30 | [
"46+84=130",
"16*10=160",
"160-130=30"
] | Current State: 30:[46, 84, 16, 10], Operations: []
Exploring Operation: 46+84=130, Resulting Numbers: [16, 10, 130]
Generated Node #2: [16, 10, 130] from Operation: 46+84=130
Current State: 30:[16, 10, 130], Operations: ['46+84=130']
Exploring Operation: 16*10=160, Resulting Numbers: [130, 160]
Generated Node #3: [130, 160] from Operation: 16*10=160
Current State: 30:[130, 160], Operations: ['46+84=130', '16*10=160']
Exploring Operation: 160-130=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
51,
38,
78,
48
] | 42 | [
"51*38=1938",
"78+1938=2016",
"2016/48=42"
] | Current State: 42:[51, 38, 78, 48], Operations: []
Exploring Operation: 51*38=1938, Resulting Numbers: [78, 48, 1938]
Generated Node #2: [78, 48, 1938] from Operation: 51*38=1938
Current State: 42:[78, 48, 1938], Operations: ['51*38=1938']
Exploring Operation: 78+1938=2016, Resulting Numbers: [48, 2016]
Generated Node #3: [48, 2016] from Operation: 78+1938=2016
Current State: 42:[48, 2016], Operations: ['51*38=1938', '78+1938=2016']
Exploring Operation: 2016/48=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
21,
38,
23,
30
] | 70 | [
"38-21=17",
"23+30=53",
"17+53=70"
] | Current State: 70:[21, 38, 23, 30], Operations: []
Exploring Operation: 38-21=17, Resulting Numbers: [23, 30, 17]
Generated Node #2: [23, 30, 17] from Operation: 38-21=17
Current State: 70:[23, 30, 17], Operations: ['38-21=17']
Exploring Operation: 23+30=53, Resulting Numbers: [17, 53]
Generated Node #3: [17, 53] from Operation: 23+30=53
Current State: 70:[17, 53], Operations: ['38-21=17', '23+30=53']
Exploring Operation: 17+53=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
21,
15,
74,
49
] | 11 | [
"21+15=36",
"74-49=25",
"36-25=11"
] | Current State: 11:[21, 15, 74, 49], Operations: []
Exploring Operation: 21+15=36, Resulting Numbers: [74, 49, 36]
Generated Node #2: [74, 49, 36] from Operation: 21+15=36
Current State: 11:[74, 49, 36], Operations: ['21+15=36']
Exploring Operation: 74-49=25, Resulting Numbers: [36, 25]
Generated Node #3: [36, 25] from Operation: 74-49=25
Current State: 11:[36, 25], Operations: ['21+15=36', '74-49=25']
Exploring Operation: 36-25=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
30,
79,
15,
4
] | 49 | [
"30+79=109",
"15*4=60",
"109-60=49"
] | Current State: 49:[30, 79, 15, 4], Operations: []
Exploring Operation: 30+79=109, Resulting Numbers: [15, 4, 109]
Generated Node #2: [15, 4, 109] from Operation: 30+79=109
Current State: 49:[15, 4, 109], Operations: ['30+79=109']
Exploring Operation: 15*4=60, Resulting Numbers: [109, 60]
Generated Node #3: [109, 60] from Operation: 15*4=60
Current State: 49:[109, 60], Operations: ['30+79=109', '15*4=60']
Exploring Operation: 109-60=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
35,
8,
4,
6
] | 67 | [
"35+8=43",
"4*6=24",
"43+24=67"
] | Current State: 67:[35, 8, 4, 6], Operations: []
Exploring Operation: 35+8=43, Resulting Numbers: [4, 6, 43]
Generated Node #2: [4, 6, 43] from Operation: 35+8=43
Current State: 67:[4, 6, 43], Operations: ['35+8=43']
Exploring Operation: 4*6=24, Resulting Numbers: [43, 24]
Generated Node #3: [43, 24] from Operation: 4*6=24
Current State: 67:[43, 24], Operations: ['35+8=43', '4*6=24']
Exploring Operation: 43+24=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
37,
4,
10,
94
] | 51 | [
"37-4=33",
"94-10=84",
"84-33=51"
] | Current State: 51:[37, 4, 10, 94], Operations: []
Exploring Operation: 37-4=33, Resulting Numbers: [10, 94, 33]
Generated Node #2: [10, 94, 33] from Operation: 37-4=33
Current State: 51:[10, 94, 33], Operations: ['37-4=33']
Exploring Operation: 94-10=84, Resulting Numbers: [33, 84]
Generated Node #3: [33, 84] from Operation: 94-10=84
Current State: 51:[33, 84], Operations: ['37-4=33', '94-10=84']
Exploring Operation: 84-33=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
8,
63,
86,
68
] | 28 | [
"8*63=504",
"86-68=18",
"504/18=28"
] | Current State: 28:[8, 63, 86, 68], Operations: []
Exploring Operation: 8*63=504, Resulting Numbers: [86, 68, 504]
Generated Node #2: [86, 68, 504] from Operation: 8*63=504
Current State: 28:[86, 68, 504], Operations: ['8*63=504']
Exploring Operation: 86-68=18, Resulting Numbers: [504, 18]
Generated Node #3: [504, 18] from Operation: 86-68=18
Current State: 28:[504, 18], Operations: ['8*63=504', '86-68=18']
Exploring Operation: 504/18=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
44,
51,
60,
68
] | 12 | [
"60-44=16",
"51*16=816",
"816/68=12"
] | Current State: 12:[44, 51, 60, 68], Operations: []
Exploring Operation: 60-44=16, Resulting Numbers: [51, 68, 16]
Generated Node #2: [51, 68, 16] from Operation: 60-44=16
Current State: 12:[51, 68, 16], Operations: ['60-44=16']
Exploring Operation: 51*16=816, Resulting Numbers: [68, 816]
Generated Node #3: [68, 816] from Operation: 51*16=816
Current State: 12:[68, 816], Operations: ['60-44=16', '51*16=816']
Exploring Operation: 816/68=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
73,
13,
19,
26
] | 53 | [
"73-13=60",
"26-19=7",
"60-7=53"
] | Current State: 53:[73, 13, 19, 26], Operations: []
Exploring Operation: 73-13=60, Resulting Numbers: [19, 26, 60]
Generated Node #2: [19, 26, 60] from Operation: 73-13=60
Current State: 53:[19, 26, 60], Operations: ['73-13=60']
Exploring Operation: 26-19=7, Resulting Numbers: [60, 7]
Generated Node #3: [60, 7] from Operation: 26-19=7
Current State: 53:[60, 7], Operations: ['73-13=60', '26-19=7']
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
80,
13,
4,
89
] | 39 | [
"80-13=67",
"89+67=156",
"156/4=39"
] | Current State: 39:[80, 13, 4, 89], Operations: []
Exploring Operation: 80-13=67, Resulting Numbers: [4, 89, 67]
Generated Node #2: [4, 89, 67] from Operation: 80-13=67
Current State: 39:[4, 89, 67], Operations: ['80-13=67']
Exploring Operation: 89+67=156, Resulting Numbers: [4, 156]
Generated Node #3: [4, 156] from Operation: 89+67=156
Current State: 39:[4, 156], Operations: ['80-13=67', '89+67=156']
Exploring Operation: 156/4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
48,
9,
10,
24
] | 21 | [
"48/24=2",
"9+10=19",
"2+19=21"
] | Current State: 21:[48, 9, 10, 24], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [9, 10, 2]
Generated Node #2: [9, 10, 2] from Operation: 48/24=2
Current State: 21:[9, 10, 2], Operations: ['48/24=2']
Exploring Operation: 9+10=19, Resulting Numbers: [2, 19]
Generated Node #3: [2, 19] from Operation: 9+10=19
Current State: 21:[2, 19], Operations: ['48/24=2', '9+10=19']
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
12,
19,
65,
30
] | 42 | [
"19-12=7",
"65-30=35",
"7+35=42"
] | Current State: 42:[12, 19, 65, 30], Operations: []
Exploring Operation: 19-12=7, Resulting Numbers: [65, 30, 7]
Generated Node #2: [65, 30, 7] from Operation: 19-12=7
Current State: 42:[65, 30, 7], Operations: ['19-12=7']
Exploring Operation: 65-30=35, Resulting Numbers: [7, 35]
Generated Node #3: [7, 35] from Operation: 65-30=35
Current State: 42:[7, 35], Operations: ['19-12=7', '65-30=35']
Exploring Operation: 7+35=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
31,
52,
67,
33
] | 37 | [
"33-31=2",
"52*2=104",
"104-67=37"
] | Current State: 37:[31, 52, 67, 33], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [52, 67, 2]
Generated Node #2: [52, 67, 2] from Operation: 33-31=2
Current State: 37:[52, 67, 2], Operations: ['33-31=2']
Exploring Operation: 52*2=104, Resulting Numbers: [67, 104]
Generated Node #3: [67, 104] from Operation: 52*2=104
Current State: 37:[67, 104], Operations: ['33-31=2', '52*2=104']
Exploring Operation: 104-67=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
84,
26,
2,
14
] | 51 | [
"84-26=58",
"14/2=7",
"58-7=51"
] | Current State: 51:[84, 26, 2, 14], Operations: []
Exploring Operation: 84-26=58, Resulting Numbers: [2, 14, 58]
Generated Node #2: [2, 14, 58] from Operation: 84-26=58
Current State: 51:[2, 14, 58], Operations: ['84-26=58']
Exploring Operation: 14/2=7, Resulting Numbers: [58, 7]
Generated Node #3: [58, 7] from Operation: 14/2=7
Current State: 51:[58, 7], Operations: ['84-26=58', '14/2=7']
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
77,
86,
79,
60
] | 28 | [
"86-77=9",
"79-60=19",
"9+19=28"
] | Current State: 28:[77, 86, 79, 60], Operations: []
Exploring Operation: 86-77=9, Resulting Numbers: [79, 60, 9]
Generated Node #2: [79, 60, 9] from Operation: 86-77=9
Current State: 28:[79, 60, 9], Operations: ['86-77=9']
Exploring Operation: 79-60=19, Resulting Numbers: [9, 19]
Generated Node #3: [9, 19] from Operation: 79-60=19
Current State: 28:[9, 19], Operations: ['86-77=9', '79-60=19']
Exploring Operation: 9+19=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
29,
13,
3,
62
] | 64 | [
"29+13=42",
"3*42=126",
"126-62=64"
] | Current State: 64:[29, 13, 3, 62], Operations: []
Exploring Operation: 29+13=42, Resulting Numbers: [3, 62, 42]
Generated Node #2: [3, 62, 42] from Operation: 29+13=42
Current State: 64:[3, 62, 42], Operations: ['29+13=42']
Exploring Operation: 3*42=126, Resulting Numbers: [62, 126]
Generated Node #3: [62, 126] from Operation: 3*42=126
Current State: 64:[62, 126], Operations: ['29+13=42', '3*42=126']
Exploring Operation: 126-62=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
24,
80,
36,
65
] | 27 | [
"80-24=56",
"65-36=29",
"56-29=27"
] | Current State: 27:[24, 80, 36, 65], Operations: []
Exploring Operation: 80-24=56, Resulting Numbers: [36, 65, 56]
Generated Node #2: [36, 65, 56] from Operation: 80-24=56
Current State: 27:[36, 65, 56], Operations: ['80-24=56']
Exploring Operation: 65-36=29, Resulting Numbers: [56, 29]
Generated Node #3: [56, 29] from Operation: 65-36=29
Current State: 27:[56, 29], Operations: ['80-24=56', '65-36=29']
Exploring Operation: 56-29=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
1,
16,
74,
80
] | 79 | [
"1*16=16",
"80/16=5",
"74+5=79"
] | Current State: 79:[1, 16, 74, 80], Operations: []
Exploring Operation: 1*16=16, Resulting Numbers: [74, 80, 16]
Generated Node #2: [74, 80, 16] from Operation: 1*16=16
Current State: 79:[74, 80, 16], Operations: ['1*16=16']
Exploring Operation: 80/16=5, Resulting Numbers: [74, 5]
Generated Node #3: [74, 5] from Operation: 80/16=5
Current State: 79:[74, 5], Operations: ['1*16=16', '80/16=5']
Exploring Operation: 74+5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
36,
22,
45,
22
] | 82 | [
"36+45=81",
"22/22=1",
"81+1=82"
] | Current State: 82:[36, 22, 45, 22], Operations: []
Exploring Operation: 36+45=81, Resulting Numbers: [22, 22, 81]
Generated Node #2: [22, 22, 81] from Operation: 36+45=81
Current State: 82:[22, 22, 81], Operations: ['36+45=81']
Exploring Operation: 22/22=1, Resulting Numbers: [81, 1]
Generated Node #3: [81, 1] from Operation: 22/22=1
Current State: 82:[81, 1], Operations: ['36+45=81', '22/22=1']
Exploring Operation: 81+1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
95,
75,
55,
92
] | 90 | [
"95+55=150",
"150/75=2",
"92-2=90"
] | Current State: 90:[95, 75, 55, 92], Operations: []
Exploring Operation: 95+55=150, Resulting Numbers: [75, 92, 150]
Generated Node #2: [75, 92, 150] from Operation: 95+55=150
Current State: 90:[75, 92, 150], Operations: ['95+55=150']
Exploring Operation: 150/75=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 150/75=2
Current State: 90:[92, 2], Operations: ['95+55=150', '150/75=2']
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
13,
89,
18,
77
] | 84 | [
"13+77=90",
"90/18=5",
"89-5=84"
] | Current State: 84:[13, 89, 18, 77], Operations: []
Exploring Operation: 13+77=90, Resulting Numbers: [89, 18, 90]
Generated Node #2: [89, 18, 90] from Operation: 13+77=90
Current State: 84:[89, 18, 90], Operations: ['13+77=90']
Exploring Operation: 90/18=5, Resulting Numbers: [89, 5]
Generated Node #3: [89, 5] from Operation: 90/18=5
Current State: 84:[89, 5], Operations: ['13+77=90', '90/18=5']
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
46,
14,
3,
13
] | 33 | [
"46+14=60",
"60/3=20",
"13+20=33"
] | Current State: 33:[46, 14, 3, 13], Operations: []
Exploring Operation: 46+14=60, Resulting Numbers: [3, 13, 60]
Generated Node #2: [3, 13, 60] from Operation: 46+14=60
Current State: 33:[3, 13, 60], Operations: ['46+14=60']
Exploring Operation: 60/3=20, Resulting Numbers: [13, 20]
Generated Node #3: [13, 20] from Operation: 60/3=20
Current State: 33:[13, 20], Operations: ['46+14=60', '60/3=20']
Exploring Operation: 13+20=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
9,
6,
69,
19
] | 42 | [
"9-6=3",
"69/3=23",
"19+23=42"
] | Current State: 42:[9, 6, 69, 19], Operations: []
Exploring Operation: 9-6=3, Resulting Numbers: [69, 19, 3]
Generated Node #2: [69, 19, 3] from Operation: 9-6=3
Current State: 42:[69, 19, 3], Operations: ['9-6=3']
Exploring Operation: 69/3=23, Resulting Numbers: [19, 23]
Generated Node #3: [19, 23] from Operation: 69/3=23
Current State: 42:[19, 23], Operations: ['9-6=3', '69/3=23']
Exploring Operation: 19+23=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
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