nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
49,
5,
66,
6
] | 97 | [
"66-49=17",
"6*17=102",
"102-5=97"
] | Current State: 97:[49, 5, 66, 6], Operations: []
Exploring Operation: 66-49=17, Resulting Numbers: [5, 6, 17]
Generated Node #2: [5, 6, 17] from Operation: 66-49=17
Current State: 97:[5, 6, 17], Operations: ['66-49=17']
Exploring Operation: 6*17=102, Resulting Numbers: [5, 102]
Generated Node #3: [5, 102] from Operation: 6*17=102
Current State: 97:[5, 102], Operations: ['66-49=17', '6*17=102']
Exploring Operation: 102-5=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
44,
97,
3,
39
] | 95 | [
"97-44=53",
"3+39=42",
"53+42=95"
] | Current State: 95:[44, 97, 3, 39], Operations: []
Exploring Operation: 97-44=53, Resulting Numbers: [3, 39, 53]
Generated Node #2: [3, 39, 53] from Operation: 97-44=53
Current State: 95:[3, 39, 53], Operations: ['97-44=53']
Exploring Operation: 3+39=42, Resulting Numbers: [53, 42]
Generated Node #3: [53, 42] from Operation: 3+39=42
Current State: 95:[53, 42], Operations: ['97-44=53', '3+39=42']
Exploring Operation: 53+42=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
76,
62,
20,
93
] | 84 | [
"76-20=56",
"93*56=5208",
"5208/62=84"
] | Current State: 84:[76, 62, 20, 93], Operations: []
Exploring Operation: 76-20=56, Resulting Numbers: [62, 93, 56]
Generated Node #2: [62, 93, 56] from Operation: 76-20=56
Current State: 84:[62, 93, 56], Operations: ['76-20=56']
Exploring Operation: 93*56=5208, Resulting Numbers: [62, 5208]
Generated Node #3: [62, 5208] from Operation: 93*56=5208
Current State: 84:[62, 5208], Operations: ['76-20=56', '93*56=5208']
Exploring Operation: 5208/62=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
2,
52,
50,
19
] | 70 | [
"52+50=102",
"102/2=51",
"19+51=70"
] | Current State: 70:[2, 52, 50, 19], Operations: []
Exploring Operation: 52+50=102, Resulting Numbers: [2, 19, 102]
Generated Node #2: [2, 19, 102] from Operation: 52+50=102
Current State: 70:[2, 19, 102], Operations: ['52+50=102']
Exploring Operation: 102/2=51, Resulting Numbers: [19, 51]
Generated Node #3: [19, 51] from Operation: 102/2=51
Current State: 70:[19, 51], Operations: ['52+50=102', '102/2=51']
Exploring Operation: 19+51=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
29,
3,
56,
5
] | 83 | [
"29+3=32",
"56-5=51",
"32+51=83"
] | Current State: 83:[29, 3, 56, 5], Operations: []
Exploring Operation: 29+3=32, Resulting Numbers: [56, 5, 32]
Generated Node #2: [56, 5, 32] from Operation: 29+3=32
Current State: 83:[56, 5, 32], Operations: ['29+3=32']
Exploring Operation: 56-5=51, Resulting Numbers: [32, 51]
Generated Node #3: [32, 51] from Operation: 56-5=51
Current State: 83:[32, 51], Operations: ['29+3=32', '56-5=51']
Exploring Operation: 32+51=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
64,
16,
10,
74
] | 21 | [
"64/16=4",
"10+74=84",
"84/4=21"
] | Current State: 21:[64, 16, 10, 74], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [10, 74, 4]
Generated Node #2: [10, 74, 4] from Operation: 64/16=4
Current State: 21:[10, 74, 4], Operations: ['64/16=4']
Exploring Operation: 10+74=84, Resulting Numbers: [4, 84]
Generated Node #3: [4, 84] from Operation: 10+74=84
Current State: 21:[4, 84], Operations: ['64/16=4', '10+74=84']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
42,
28,
81,
16
] | 70 | [
"28*81=2268",
"2268/42=54",
"16+54=70"
] | Current State: 70:[42, 28, 81, 16], Operations: []
Exploring Operation: 28*81=2268, Resulting Numbers: [42, 16, 2268]
Generated Node #2: [42, 16, 2268] from Operation: 28*81=2268
Current State: 70:[42, 16, 2268], Operations: ['28*81=2268']
Exploring Operation: 2268/42=54, Resulting Numbers: [16, 54]
Generated Node #3: [16, 54] from Operation: 2268/42=54
Current State: 70:[16, 54], Operations: ['28*81=2268', '2268/42=54']
Exploring Operation: 16+54=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
44,
64,
9,
68
] | 79 | [
"64-44=20",
"68-9=59",
"20+59=79"
] | Current State: 79:[44, 64, 9, 68], Operations: []
Exploring Operation: 64-44=20, Resulting Numbers: [9, 68, 20]
Generated Node #2: [9, 68, 20] from Operation: 64-44=20
Current State: 79:[9, 68, 20], Operations: ['64-44=20']
Exploring Operation: 68-9=59, Resulting Numbers: [20, 59]
Generated Node #3: [20, 59] from Operation: 68-9=59
Current State: 79:[20, 59], Operations: ['64-44=20', '68-9=59']
Exploring Operation: 20+59=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
66,
71,
99,
64
] | 90 | [
"71+64=135",
"66*135=8910",
"8910/99=90"
] | Current State: 90:[66, 71, 99, 64], Operations: []
Exploring Operation: 71+64=135, Resulting Numbers: [66, 99, 135]
Generated Node #2: [66, 99, 135] from Operation: 71+64=135
Current State: 90:[66, 99, 135], Operations: ['71+64=135']
Exploring Operation: 66*135=8910, Resulting Numbers: [99, 8910]
Generated Node #3: [99, 8910] from Operation: 66*135=8910
Current State: 90:[99, 8910], Operations: ['71+64=135', '66*135=8910']
Exploring Operation: 8910/99=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
61,
37,
17,
23
] | 17 | [
"61-37=24",
"24-23=1",
"17*1=17"
] | Current State: 17:[61, 37, 17, 23], Operations: []
Exploring Operation: 61-37=24, Resulting Numbers: [17, 23, 24]
Generated Node #2: [17, 23, 24] from Operation: 61-37=24
Current State: 17:[17, 23, 24], Operations: ['61-37=24']
Exploring Operation: 24-23=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 24-23=1
Current State: 17:[17, 1], Operations: ['61-37=24', '24-23=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
41,
78,
43,
20
] | 37 | [
"78*20=1560",
"1560-43=1517",
"1517/41=37"
] | Current State: 37:[41, 78, 43, 20], Operations: []
Exploring Operation: 78*20=1560, Resulting Numbers: [41, 43, 1560]
Generated Node #2: [41, 43, 1560] from Operation: 78*20=1560
Current State: 37:[41, 43, 1560], Operations: ['78*20=1560']
Exploring Operation: 1560-43=1517, Resulting Numbers: [41, 1517]
Generated Node #3: [41, 1517] from Operation: 1560-43=1517
Current State: 37:[41, 1517], Operations: ['78*20=1560', '1560-43=1517']
Exploring Operation: 1517/41=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
83,
5,
3,
33
] | 84 | [
"83*3=249",
"5*33=165",
"249-165=84"
] | Current State: 84:[83, 5, 3, 33], Operations: []
Exploring Operation: 83*3=249, Resulting Numbers: [5, 33, 249]
Generated Node #2: [5, 33, 249] from Operation: 83*3=249
Current State: 84:[5, 33, 249], Operations: ['83*3=249']
Exploring Operation: 5*33=165, Resulting Numbers: [249, 165]
Generated Node #3: [249, 165] from Operation: 5*33=165
Current State: 84:[249, 165], Operations: ['83*3=249', '5*33=165']
Exploring Operation: 249-165=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
13,
93,
39,
26
] | 75 | [
"93*26=2418",
"2418/39=62",
"13+62=75"
] | Current State: 75:[13, 93, 39, 26], Operations: []
Exploring Operation: 93*26=2418, Resulting Numbers: [13, 39, 2418]
Generated Node #2: [13, 39, 2418] from Operation: 93*26=2418
Current State: 75:[13, 39, 2418], Operations: ['93*26=2418']
Exploring Operation: 2418/39=62, Resulting Numbers: [13, 62]
Generated Node #3: [13, 62] from Operation: 2418/39=62
Current State: 75:[13, 62], Operations: ['93*26=2418', '2418/39=62']
Exploring Operation: 13+62=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
77,
2,
87,
25
] | 45 | [
"87-77=10",
"2*10=20",
"25+20=45"
] | Current State: 45:[77, 2, 87, 25], Operations: []
Exploring Operation: 87-77=10, Resulting Numbers: [2, 25, 10]
Generated Node #2: [2, 25, 10] from Operation: 87-77=10
Current State: 45:[2, 25, 10], Operations: ['87-77=10']
Exploring Operation: 2*10=20, Resulting Numbers: [25, 20]
Generated Node #3: [25, 20] from Operation: 2*10=20
Current State: 45:[25, 20], Operations: ['87-77=10', '2*10=20']
Exploring Operation: 25+20=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
92,
54,
15,
25
] | 30 | [
"92*15=1380",
"54*25=1350",
"1380-1350=30"
] | Current State: 30:[92, 54, 15, 25], Operations: []
Exploring Operation: 92*15=1380, Resulting Numbers: [54, 25, 1380]
Generated Node #2: [54, 25, 1380] from Operation: 92*15=1380
Current State: 30:[54, 25, 1380], Operations: ['92*15=1380']
Exploring Operation: 54*25=1350, Resulting Numbers: [1380, 1350]
Generated Node #3: [1380, 1350] from Operation: 54*25=1350
Current State: 30:[1380, 1350], Operations: ['92*15=1380', '54*25=1350']
Exploring Operation: 1380-1350=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
30,
70,
82,
55
] | 41 | [
"70-55=15",
"30/15=2",
"82/2=41"
] | Current State: 41:[30, 70, 82, 55], Operations: []
Exploring Operation: 70-55=15, Resulting Numbers: [30, 82, 15]
Generated Node #2: [30, 82, 15] from Operation: 70-55=15
Current State: 41:[30, 82, 15], Operations: ['70-55=15']
Exploring Operation: 30/15=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 30/15=2
Current State: 41:[82, 2], Operations: ['70-55=15', '30/15=2']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
11,
9,
72,
16
] | 20 | [
"11-9=2",
"72/2=36",
"36-16=20"
] | Current State: 20:[11, 9, 72, 16], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [72, 16, 2]
Generated Node #2: [72, 16, 2] from Operation: 11-9=2
Current State: 20:[72, 16, 2], Operations: ['11-9=2']
Exploring Operation: 72/2=36, Resulting Numbers: [16, 36]
Generated Node #3: [16, 36] from Operation: 72/2=36
Current State: 20:[16, 36], Operations: ['11-9=2', '72/2=36']
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
6,
60,
89,
11
] | 88 | [
"60/6=10",
"89-11=78",
"10+78=88"
] | Current State: 88:[6, 60, 89, 11], Operations: []
Exploring Operation: 60/6=10, Resulting Numbers: [89, 11, 10]
Generated Node #2: [89, 11, 10] from Operation: 60/6=10
Current State: 88:[89, 11, 10], Operations: ['60/6=10']
Exploring Operation: 89-11=78, Resulting Numbers: [10, 78]
Generated Node #3: [10, 78] from Operation: 89-11=78
Current State: 88:[10, 78], Operations: ['60/6=10', '89-11=78']
Exploring Operation: 10+78=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
70,
64,
12,
73
] | 100 | [
"73-70=3",
"12*3=36",
"64+36=100"
] | Current State: 100:[70, 64, 12, 73], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [64, 12, 3]
Generated Node #2: [64, 12, 3] from Operation: 73-70=3
Current State: 100:[64, 12, 3], Operations: ['73-70=3']
Exploring Operation: 12*3=36, Resulting Numbers: [64, 36]
Generated Node #3: [64, 36] from Operation: 12*3=36
Current State: 100:[64, 36], Operations: ['73-70=3', '12*3=36']
Exploring Operation: 64+36=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
64,
69,
24,
19
] | 17 | [
"64+69=133",
"133/19=7",
"24-7=17"
] | Current State: 17:[64, 69, 24, 19], Operations: []
Exploring Operation: 64+69=133, Resulting Numbers: [24, 19, 133]
Generated Node #2: [24, 19, 133] from Operation: 64+69=133
Current State: 17:[24, 19, 133], Operations: ['64+69=133']
Exploring Operation: 133/19=7, Resulting Numbers: [24, 7]
Generated Node #3: [24, 7] from Operation: 133/19=7
Current State: 17:[24, 7], Operations: ['64+69=133', '133/19=7']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
90,
32,
6,
34
] | 18 | [
"90-32=58",
"6+34=40",
"58-40=18"
] | Current State: 18:[90, 32, 6, 34], Operations: []
Exploring Operation: 90-32=58, Resulting Numbers: [6, 34, 58]
Generated Node #2: [6, 34, 58] from Operation: 90-32=58
Current State: 18:[6, 34, 58], Operations: ['90-32=58']
Exploring Operation: 6+34=40, Resulting Numbers: [58, 40]
Generated Node #3: [58, 40] from Operation: 6+34=40
Current State: 18:[58, 40], Operations: ['90-32=58', '6+34=40']
Exploring Operation: 58-40=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
3,
70,
52,
44
] | 81 | [
"3+70=73",
"52-44=8",
"73+8=81"
] | Current State: 81:[3, 70, 52, 44], Operations: []
Exploring Operation: 3+70=73, Resulting Numbers: [52, 44, 73]
Generated Node #2: [52, 44, 73] from Operation: 3+70=73
Current State: 81:[52, 44, 73], Operations: ['3+70=73']
Exploring Operation: 52-44=8, Resulting Numbers: [73, 8]
Generated Node #3: [73, 8] from Operation: 52-44=8
Current State: 81:[73, 8], Operations: ['3+70=73', '52-44=8']
Exploring Operation: 73+8=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
64,
37,
24,
24
] | 46 | [
"24*24=576",
"576/64=9",
"37+9=46"
] | Current State: 46:[64, 37, 24, 24], Operations: []
Exploring Operation: 24*24=576, Resulting Numbers: [64, 37, 576]
Generated Node #2: [64, 37, 576] from Operation: 24*24=576
Current State: 46:[64, 37, 576], Operations: ['24*24=576']
Exploring Operation: 576/64=9, Resulting Numbers: [37, 9]
Generated Node #3: [37, 9] from Operation: 576/64=9
Current State: 46:[37, 9], Operations: ['24*24=576', '576/64=9']
Exploring Operation: 37+9=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
49,
17,
12,
18
] | 11 | [
"49+17=66",
"18-12=6",
"66/6=11"
] | Current State: 11:[49, 17, 12, 18], Operations: []
Exploring Operation: 49+17=66, Resulting Numbers: [12, 18, 66]
Generated Node #2: [12, 18, 66] from Operation: 49+17=66
Current State: 11:[12, 18, 66], Operations: ['49+17=66']
Exploring Operation: 18-12=6, Resulting Numbers: [66, 6]
Generated Node #3: [66, 6] from Operation: 18-12=6
Current State: 11:[66, 6], Operations: ['49+17=66', '18-12=6']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
16,
85,
9,
25
] | 86 | [
"16+9=25",
"25/25=1",
"85+1=86"
] | Current State: 86:[16, 85, 9, 25], Operations: []
Exploring Operation: 16+9=25, Resulting Numbers: [85, 25, 25]
Generated Node #2: [85, 25, 25] from Operation: 16+9=25
Current State: 86:[85, 25, 25], Operations: ['16+9=25']
Exploring Operation: 25/25=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 25/25=1
Current State: 86:[85, 1], Operations: ['16+9=25', '25/25=1']
Exploring Operation: 85+1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
16,
78,
39,
38
] | 27 | [
"16+38=54",
"78/39=2",
"54/2=27"
] | Current State: 27:[16, 78, 39, 38], Operations: []
Exploring Operation: 16+38=54, Resulting Numbers: [78, 39, 54]
Generated Node #2: [78, 39, 54] from Operation: 16+38=54
Current State: 27:[78, 39, 54], Operations: ['16+38=54']
Exploring Operation: 78/39=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 78/39=2
Current State: 27:[54, 2], Operations: ['16+38=54', '78/39=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
41,
9,
26,
23
] | 96 | [
"41-9=32",
"26-23=3",
"32*3=96"
] | Current State: 96:[41, 9, 26, 23], Operations: []
Exploring Operation: 41-9=32, Resulting Numbers: [26, 23, 32]
Generated Node #2: [26, 23, 32] from Operation: 41-9=32
Current State: 96:[26, 23, 32], Operations: ['41-9=32']
Exploring Operation: 26-23=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 26-23=3
Current State: 96:[32, 3], Operations: ['41-9=32', '26-23=3']
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
1,
67,
22,
31
] | 15 | [
"1+67=68",
"22+31=53",
"68-53=15"
] | Current State: 15:[1, 67, 22, 31], Operations: []
Exploring Operation: 1+67=68, Resulting Numbers: [22, 31, 68]
Generated Node #2: [22, 31, 68] from Operation: 1+67=68
Current State: 15:[22, 31, 68], Operations: ['1+67=68']
Exploring Operation: 22+31=53, Resulting Numbers: [68, 53]
Generated Node #3: [68, 53] from Operation: 22+31=53
Current State: 15:[68, 53], Operations: ['1+67=68', '22+31=53']
Exploring Operation: 68-53=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
9,
5,
21,
11
] | 48 | [
"21*11=231",
"9+231=240",
"240/5=48"
] | Current State: 48:[9, 5, 21, 11], Operations: []
Exploring Operation: 21*11=231, Resulting Numbers: [9, 5, 231]
Generated Node #2: [9, 5, 231] from Operation: 21*11=231
Current State: 48:[9, 5, 231], Operations: ['21*11=231']
Exploring Operation: 9+231=240, Resulting Numbers: [5, 240]
Generated Node #3: [5, 240] from Operation: 9+231=240
Current State: 48:[5, 240], Operations: ['21*11=231', '9+231=240']
Exploring Operation: 240/5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
44,
82,
80,
48
] | 94 | [
"44+82=126",
"80-48=32",
"126-32=94"
] | Current State: 94:[44, 82, 80, 48], Operations: []
Exploring Operation: 44+82=126, Resulting Numbers: [80, 48, 126]
Generated Node #2: [80, 48, 126] from Operation: 44+82=126
Current State: 94:[80, 48, 126], Operations: ['44+82=126']
Exploring Operation: 80-48=32, Resulting Numbers: [126, 32]
Generated Node #3: [126, 32] from Operation: 80-48=32
Current State: 94:[126, 32], Operations: ['44+82=126', '80-48=32']
Exploring Operation: 126-32=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
7,
65,
70,
47
] | 86 | [
"65+47=112",
"112/7=16",
"70+16=86"
] | Current State: 86:[7, 65, 70, 47], Operations: []
Exploring Operation: 65+47=112, Resulting Numbers: [7, 70, 112]
Generated Node #2: [7, 70, 112] from Operation: 65+47=112
Current State: 86:[7, 70, 112], Operations: ['65+47=112']
Exploring Operation: 112/7=16, Resulting Numbers: [70, 16]
Generated Node #3: [70, 16] from Operation: 112/7=16
Current State: 86:[70, 16], Operations: ['65+47=112', '112/7=16']
Exploring Operation: 70+16=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
31,
45,
2,
40
] | 52 | [
"45-31=14",
"40-2=38",
"14+38=52"
] | Current State: 52:[31, 45, 2, 40], Operations: []
Exploring Operation: 45-31=14, Resulting Numbers: [2, 40, 14]
Generated Node #2: [2, 40, 14] from Operation: 45-31=14
Current State: 52:[2, 40, 14], Operations: ['45-31=14']
Exploring Operation: 40-2=38, Resulting Numbers: [14, 38]
Generated Node #3: [14, 38] from Operation: 40-2=38
Current State: 52:[14, 38], Operations: ['45-31=14', '40-2=38']
Exploring Operation: 14+38=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
48,
46,
5,
27
] | 81 | [
"48-46=2",
"5-2=3",
"27*3=81"
] | Current State: 81:[48, 46, 5, 27], Operations: []
Exploring Operation: 48-46=2, Resulting Numbers: [5, 27, 2]
Generated Node #2: [5, 27, 2] from Operation: 48-46=2
Current State: 81:[5, 27, 2], Operations: ['48-46=2']
Exploring Operation: 5-2=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 5-2=3
Current State: 81:[27, 3], Operations: ['48-46=2', '5-2=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
54,
48,
6,
76
] | 30 | [
"76-54=22",
"48/6=8",
"22+8=30"
] | Current State: 30:[54, 48, 6, 76], Operations: []
Exploring Operation: 76-54=22, Resulting Numbers: [48, 6, 22]
Generated Node #2: [48, 6, 22] from Operation: 76-54=22
Current State: 30:[48, 6, 22], Operations: ['76-54=22']
Exploring Operation: 48/6=8, Resulting Numbers: [22, 8]
Generated Node #3: [22, 8] from Operation: 48/6=8
Current State: 30:[22, 8], Operations: ['76-54=22', '48/6=8']
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
33,
6,
5,
25
] | 18 | [
"33-5=28",
"28-25=3",
"6*3=18"
] | Current State: 18:[33, 6, 5, 25], Operations: []
Exploring Operation: 33-5=28, Resulting Numbers: [6, 25, 28]
Generated Node #2: [6, 25, 28] from Operation: 33-5=28
Current State: 18:[6, 25, 28], Operations: ['33-5=28']
Exploring Operation: 28-25=3, Resulting Numbers: [6, 3]
Generated Node #3: [6, 3] from Operation: 28-25=3
Current State: 18:[6, 3], Operations: ['33-5=28', '28-25=3']
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
42,
72,
42,
21
] | 18 | [
"42+42=84",
"72*21=1512",
"1512/84=18"
] | Current State: 18:[42, 72, 42, 21], Operations: []
Exploring Operation: 42+42=84, Resulting Numbers: [72, 21, 84]
Generated Node #2: [72, 21, 84] from Operation: 42+42=84
Current State: 18:[72, 21, 84], Operations: ['42+42=84']
Exploring Operation: 72*21=1512, Resulting Numbers: [84, 1512]
Generated Node #3: [84, 1512] from Operation: 72*21=1512
Current State: 18:[84, 1512], Operations: ['42+42=84', '72*21=1512']
Exploring Operation: 1512/84=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
25,
3,
26,
26
] | 80 | [
"25+3=28",
"26+26=52",
"28+52=80"
] | Current State: 80:[25, 3, 26, 26], Operations: []
Exploring Operation: 25+3=28, Resulting Numbers: [26, 26, 28]
Generated Node #2: [26, 26, 28] from Operation: 25+3=28
Current State: 80:[26, 26, 28], Operations: ['25+3=28']
Exploring Operation: 26+26=52, Resulting Numbers: [28, 52]
Generated Node #3: [28, 52] from Operation: 26+26=52
Current State: 80:[28, 52], Operations: ['25+3=28', '26+26=52']
Exploring Operation: 28+52=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
50,
4,
84,
18
] | 53 | [
"50-18=32",
"84/4=21",
"32+21=53"
] | Current State: 53:[50, 4, 84, 18], Operations: []
Exploring Operation: 50-18=32, Resulting Numbers: [4, 84, 32]
Generated Node #2: [4, 84, 32] from Operation: 50-18=32
Current State: 53:[4, 84, 32], Operations: ['50-18=32']
Exploring Operation: 84/4=21, Resulting Numbers: [32, 21]
Generated Node #3: [32, 21] from Operation: 84/4=21
Current State: 53:[32, 21], Operations: ['50-18=32', '84/4=21']
Exploring Operation: 32+21=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
7,
3,
95,
35
] | 93 | [
"35/7=5",
"3+95=98",
"98-5=93"
] | Current State: 93:[7, 3, 95, 35], Operations: []
Exploring Operation: 35/7=5, Resulting Numbers: [3, 95, 5]
Generated Node #2: [3, 95, 5] from Operation: 35/7=5
Current State: 93:[3, 95, 5], Operations: ['35/7=5']
Exploring Operation: 3+95=98, Resulting Numbers: [5, 98]
Generated Node #3: [5, 98] from Operation: 3+95=98
Current State: 93:[5, 98], Operations: ['35/7=5', '3+95=98']
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
63,
3,
45,
47
] | 42 | [
"63/3=21",
"47-45=2",
"21*2=42"
] | Current State: 42:[63, 3, 45, 47], Operations: []
Exploring Operation: 63/3=21, Resulting Numbers: [45, 47, 21]
Generated Node #2: [45, 47, 21] from Operation: 63/3=21
Current State: 42:[45, 47, 21], Operations: ['63/3=21']
Exploring Operation: 47-45=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 47-45=2
Current State: 42:[21, 2], Operations: ['63/3=21', '47-45=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
55,
50,
67,
35
] | 97 | [
"55-50=5",
"67+35=102",
"102-5=97"
] | Current State: 97:[55, 50, 67, 35], Operations: []
Exploring Operation: 55-50=5, Resulting Numbers: [67, 35, 5]
Generated Node #2: [67, 35, 5] from Operation: 55-50=5
Current State: 97:[67, 35, 5], Operations: ['55-50=5']
Exploring Operation: 67+35=102, Resulting Numbers: [5, 102]
Generated Node #3: [5, 102] from Operation: 67+35=102
Current State: 97:[5, 102], Operations: ['55-50=5', '67+35=102']
Exploring Operation: 102-5=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
29,
48,
60,
38
] | 84 | [
"29*60=1740",
"48*38=1824",
"1824-1740=84"
] | Current State: 84:[29, 48, 60, 38], Operations: []
Exploring Operation: 29*60=1740, Resulting Numbers: [48, 38, 1740]
Generated Node #2: [48, 38, 1740] from Operation: 29*60=1740
Current State: 84:[48, 38, 1740], Operations: ['29*60=1740']
Exploring Operation: 48*38=1824, Resulting Numbers: [1740, 1824]
Generated Node #3: [1740, 1824] from Operation: 48*38=1824
Current State: 84:[1740, 1824], Operations: ['29*60=1740', '48*38=1824']
Exploring Operation: 1824-1740=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
11,
85,
2,
94
] | 29 | [
"94-85=9",
"2*9=18",
"11+18=29"
] | Current State: 29:[11, 85, 2, 94], Operations: []
Exploring Operation: 94-85=9, Resulting Numbers: [11, 2, 9]
Generated Node #2: [11, 2, 9] from Operation: 94-85=9
Current State: 29:[11, 2, 9], Operations: ['94-85=9']
Exploring Operation: 2*9=18, Resulting Numbers: [11, 18]
Generated Node #3: [11, 18] from Operation: 2*9=18
Current State: 29:[11, 18], Operations: ['94-85=9', '2*9=18']
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
46,
49,
67,
9
] | 61 | [
"49-46=3",
"67-9=58",
"3+58=61"
] | Current State: 61:[46, 49, 67, 9], Operations: []
Exploring Operation: 49-46=3, Resulting Numbers: [67, 9, 3]
Generated Node #2: [67, 9, 3] from Operation: 49-46=3
Current State: 61:[67, 9, 3], Operations: ['49-46=3']
Exploring Operation: 67-9=58, Resulting Numbers: [3, 58]
Generated Node #3: [3, 58] from Operation: 67-9=58
Current State: 61:[3, 58], Operations: ['49-46=3', '67-9=58']
Exploring Operation: 3+58=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
24,
42,
5,
1
] | 11 | [
"24+42=66",
"5+1=6",
"66/6=11"
] | Current State: 11:[24, 42, 5, 1], Operations: []
Exploring Operation: 24+42=66, Resulting Numbers: [5, 1, 66]
Generated Node #2: [5, 1, 66] from Operation: 24+42=66
Current State: 11:[5, 1, 66], Operations: ['24+42=66']
Exploring Operation: 5+1=6, Resulting Numbers: [66, 6]
Generated Node #3: [66, 6] from Operation: 5+1=6
Current State: 11:[66, 6], Operations: ['24+42=66', '5+1=6']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
39,
60,
13,
61
] | 52 | [
"39+13=52",
"61-60=1",
"52*1=52"
] | Current State: 52:[39, 60, 13, 61], Operations: []
Exploring Operation: 39+13=52, Resulting Numbers: [60, 61, 52]
Generated Node #2: [60, 61, 52] from Operation: 39+13=52
Current State: 52:[60, 61, 52], Operations: ['39+13=52']
Exploring Operation: 61-60=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 61-60=1
Current State: 52:[52, 1], Operations: ['39+13=52', '61-60=1']
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
2,
94,
34,
60
] | 34 | [
"2*34=68",
"94-60=34",
"68-34=34"
] | Current State: 34:[2, 94, 34, 60], Operations: []
Exploring Operation: 2*34=68, Resulting Numbers: [94, 60, 68]
Generated Node #2: [94, 60, 68] from Operation: 2*34=68
Current State: 34:[94, 60, 68], Operations: ['2*34=68']
Exploring Operation: 94-60=34, Resulting Numbers: [68, 34]
Generated Node #3: [68, 34] from Operation: 94-60=34
Current State: 34:[68, 34], Operations: ['2*34=68', '94-60=34']
Exploring Operation: 68-34=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
18,
90,
29,
93
] | 25 | [
"93-90=3",
"18*3=54",
"54-29=25"
] | Current State: 25:[18, 90, 29, 93], Operations: []
Exploring Operation: 93-90=3, Resulting Numbers: [18, 29, 3]
Generated Node #2: [18, 29, 3] from Operation: 93-90=3
Current State: 25:[18, 29, 3], Operations: ['93-90=3']
Exploring Operation: 18*3=54, Resulting Numbers: [29, 54]
Generated Node #3: [29, 54] from Operation: 18*3=54
Current State: 25:[29, 54], Operations: ['93-90=3', '18*3=54']
Exploring Operation: 54-29=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
8,
6,
3,
53
] | 42 | [
"8+6=14",
"3+53=56",
"56-14=42"
] | Current State: 42:[8, 6, 3, 53], Operations: []
Exploring Operation: 8+6=14, Resulting Numbers: [3, 53, 14]
Generated Node #2: [3, 53, 14] from Operation: 8+6=14
Current State: 42:[3, 53, 14], Operations: ['8+6=14']
Exploring Operation: 3+53=56, Resulting Numbers: [14, 56]
Generated Node #3: [14, 56] from Operation: 3+53=56
Current State: 42:[14, 56], Operations: ['8+6=14', '3+53=56']
Exploring Operation: 56-14=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
72,
82,
37,
19
] | 28 | [
"82-72=10",
"37-19=18",
"10+18=28"
] | Current State: 28:[72, 82, 37, 19], Operations: []
Exploring Operation: 82-72=10, Resulting Numbers: [37, 19, 10]
Generated Node #2: [37, 19, 10] from Operation: 82-72=10
Current State: 28:[37, 19, 10], Operations: ['82-72=10']
Exploring Operation: 37-19=18, Resulting Numbers: [10, 18]
Generated Node #3: [10, 18] from Operation: 37-19=18
Current State: 28:[10, 18], Operations: ['82-72=10', '37-19=18']
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
45,
84,
49,
87
] | 86 | [
"87-84=3",
"45*3=135",
"135-49=86"
] | Current State: 86:[45, 84, 49, 87], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [45, 49, 3]
Generated Node #2: [45, 49, 3] from Operation: 87-84=3
Current State: 86:[45, 49, 3], Operations: ['87-84=3']
Exploring Operation: 45*3=135, Resulting Numbers: [49, 135]
Generated Node #3: [49, 135] from Operation: 45*3=135
Current State: 86:[49, 135], Operations: ['87-84=3', '45*3=135']
Exploring Operation: 135-49=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
64,
16,
37,
2
] | 86 | [
"64+16=80",
"80-37=43",
"2*43=86"
] | Current State: 86:[64, 16, 37, 2], Operations: []
Exploring Operation: 64+16=80, Resulting Numbers: [37, 2, 80]
Generated Node #2: [37, 2, 80] from Operation: 64+16=80
Current State: 86:[37, 2, 80], Operations: ['64+16=80']
Exploring Operation: 80-37=43, Resulting Numbers: [2, 43]
Generated Node #3: [2, 43] from Operation: 80-37=43
Current State: 86:[2, 43], Operations: ['64+16=80', '80-37=43']
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
5,
47,
37,
49
] | 34 | [
"5+47=52",
"37+49=86",
"86-52=34"
] | Current State: 34:[5, 47, 37, 49], Operations: []
Exploring Operation: 5+47=52, Resulting Numbers: [37, 49, 52]
Generated Node #2: [37, 49, 52] from Operation: 5+47=52
Current State: 34:[37, 49, 52], Operations: ['5+47=52']
Exploring Operation: 37+49=86, Resulting Numbers: [52, 86]
Generated Node #3: [52, 86] from Operation: 37+49=86
Current State: 34:[52, 86], Operations: ['5+47=52', '37+49=86']
Exploring Operation: 86-52=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
82,
87,
36,
78
] | 86 | [
"87-78=9",
"36/9=4",
"82+4=86"
] | Current State: 86:[82, 87, 36, 78], Operations: []
Exploring Operation: 87-78=9, Resulting Numbers: [82, 36, 9]
Generated Node #2: [82, 36, 9] from Operation: 87-78=9
Current State: 86:[82, 36, 9], Operations: ['87-78=9']
Exploring Operation: 36/9=4, Resulting Numbers: [82, 4]
Generated Node #3: [82, 4] from Operation: 36/9=4
Current State: 86:[82, 4], Operations: ['87-78=9', '36/9=4']
Exploring Operation: 82+4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
64,
80,
17,
25
] | 24 | [
"80-64=16",
"25-17=8",
"16+8=24"
] | Current State: 24:[64, 80, 17, 25], Operations: []
Exploring Operation: 80-64=16, Resulting Numbers: [17, 25, 16]
Generated Node #2: [17, 25, 16] from Operation: 80-64=16
Current State: 24:[17, 25, 16], Operations: ['80-64=16']
Exploring Operation: 25-17=8, Resulting Numbers: [16, 8]
Generated Node #3: [16, 8] from Operation: 25-17=8
Current State: 24:[16, 8], Operations: ['80-64=16', '25-17=8']
Exploring Operation: 16+8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
43,
38,
50,
82
] | 27 | [
"43-38=5",
"82-50=32",
"32-5=27"
] | Current State: 27:[43, 38, 50, 82], Operations: []
Exploring Operation: 43-38=5, Resulting Numbers: [50, 82, 5]
Generated Node #2: [50, 82, 5] from Operation: 43-38=5
Current State: 27:[50, 82, 5], Operations: ['43-38=5']
Exploring Operation: 82-50=32, Resulting Numbers: [5, 32]
Generated Node #3: [5, 32] from Operation: 82-50=32
Current State: 27:[5, 32], Operations: ['43-38=5', '82-50=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
5,
99,
61,
94
] | 96 | [
"99-61=38",
"5*38=190",
"190-94=96"
] | Current State: 96:[5, 99, 61, 94], Operations: []
Exploring Operation: 99-61=38, Resulting Numbers: [5, 94, 38]
Generated Node #2: [5, 94, 38] from Operation: 99-61=38
Current State: 96:[5, 94, 38], Operations: ['99-61=38']
Exploring Operation: 5*38=190, Resulting Numbers: [94, 190]
Generated Node #3: [94, 190] from Operation: 5*38=190
Current State: 96:[94, 190], Operations: ['99-61=38', '5*38=190']
Exploring Operation: 190-94=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
22,
23,
20,
84
] | 64 | [
"23-22=1",
"84-20=64",
"1*64=64"
] | Current State: 64:[22, 23, 20, 84], Operations: []
Exploring Operation: 23-22=1, Resulting Numbers: [20, 84, 1]
Generated Node #2: [20, 84, 1] from Operation: 23-22=1
Current State: 64:[20, 84, 1], Operations: ['23-22=1']
Exploring Operation: 84-20=64, Resulting Numbers: [1, 64]
Generated Node #3: [1, 64] from Operation: 84-20=64
Current State: 64:[1, 64], Operations: ['23-22=1', '84-20=64']
Exploring Operation: 1*64=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
54,
5,
20,
27
] | 42 | [
"54-5=49",
"27-20=7",
"49-7=42"
] | Current State: 42:[54, 5, 20, 27], Operations: []
Exploring Operation: 54-5=49, Resulting Numbers: [20, 27, 49]
Generated Node #2: [20, 27, 49] from Operation: 54-5=49
Current State: 42:[20, 27, 49], Operations: ['54-5=49']
Exploring Operation: 27-20=7, Resulting Numbers: [49, 7]
Generated Node #3: [49, 7] from Operation: 27-20=7
Current State: 42:[49, 7], Operations: ['54-5=49', '27-20=7']
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
40,
33,
31,
3
] | 90 | [
"40-31=9",
"33*3=99",
"99-9=90"
] | Current State: 90:[40, 33, 31, 3], Operations: []
Exploring Operation: 40-31=9, Resulting Numbers: [33, 3, 9]
Generated Node #2: [33, 3, 9] from Operation: 40-31=9
Current State: 90:[33, 3, 9], Operations: ['40-31=9']
Exploring Operation: 33*3=99, Resulting Numbers: [9, 99]
Generated Node #3: [9, 99] from Operation: 33*3=99
Current State: 90:[9, 99], Operations: ['40-31=9', '33*3=99']
Exploring Operation: 99-9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
55,
14,
31,
35
] | 45 | [
"55-14=41",
"35-31=4",
"41+4=45"
] | Current State: 45:[55, 14, 31, 35], Operations: []
Exploring Operation: 55-14=41, Resulting Numbers: [31, 35, 41]
Generated Node #2: [31, 35, 41] from Operation: 55-14=41
Current State: 45:[31, 35, 41], Operations: ['55-14=41']
Exploring Operation: 35-31=4, Resulting Numbers: [41, 4]
Generated Node #3: [41, 4] from Operation: 35-31=4
Current State: 45:[41, 4], Operations: ['55-14=41', '35-31=4']
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
94,
28,
94,
47
] | 28 | [
"94-94=0",
"47*0=0",
"28+0=28"
] | Current State: 28:[94, 28, 94, 47], Operations: []
Exploring Operation: 94-94=0, Resulting Numbers: [28, 47, 0]
Generated Node #2: [28, 47, 0] from Operation: 94-94=0
Current State: 28:[28, 47, 0], Operations: ['94-94=0']
Exploring Operation: 47*0=0, Resulting Numbers: [28, 0]
Generated Node #3: [28, 0] from Operation: 47*0=0
Current State: 28:[28, 0], Operations: ['94-94=0', '47*0=0']
Exploring Operation: 28+0=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
54,
72,
40,
80
] | 16 | [
"72-54=18",
"80/40=2",
"18-2=16"
] | Current State: 16:[54, 72, 40, 80], Operations: []
Exploring Operation: 72-54=18, Resulting Numbers: [40, 80, 18]
Generated Node #2: [40, 80, 18] from Operation: 72-54=18
Current State: 16:[40, 80, 18], Operations: ['72-54=18']
Exploring Operation: 80/40=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 80/40=2
Current State: 16:[18, 2], Operations: ['72-54=18', '80/40=2']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
83,
56,
24,
92
] | 95 | [
"83-56=27",
"92-24=68",
"27+68=95"
] | Current State: 95:[83, 56, 24, 92], Operations: []
Exploring Operation: 83-56=27, Resulting Numbers: [24, 92, 27]
Generated Node #2: [24, 92, 27] from Operation: 83-56=27
Current State: 95:[24, 92, 27], Operations: ['83-56=27']
Exploring Operation: 92-24=68, Resulting Numbers: [27, 68]
Generated Node #3: [27, 68] from Operation: 92-24=68
Current State: 95:[27, 68], Operations: ['83-56=27', '92-24=68']
Exploring Operation: 27+68=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
42,
50,
18,
63
] | 62 | [
"42*18=756",
"756/63=12",
"50+12=62"
] | Current State: 62:[42, 50, 18, 63], Operations: []
Exploring Operation: 42*18=756, Resulting Numbers: [50, 63, 756]
Generated Node #2: [50, 63, 756] from Operation: 42*18=756
Current State: 62:[50, 63, 756], Operations: ['42*18=756']
Exploring Operation: 756/63=12, Resulting Numbers: [50, 12]
Generated Node #3: [50, 12] from Operation: 756/63=12
Current State: 62:[50, 12], Operations: ['42*18=756', '756/63=12']
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
32,
71,
72,
78
] | 74 | [
"71-32=39",
"78/39=2",
"72+2=74"
] | Current State: 74:[32, 71, 72, 78], Operations: []
Exploring Operation: 71-32=39, Resulting Numbers: [72, 78, 39]
Generated Node #2: [72, 78, 39] from Operation: 71-32=39
Current State: 74:[72, 78, 39], Operations: ['71-32=39']
Exploring Operation: 78/39=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 78/39=2
Current State: 74:[72, 2], Operations: ['71-32=39', '78/39=2']
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
78,
72,
36,
42
] | 71 | [
"78-36=42",
"42/42=1",
"72-1=71"
] | Current State: 71:[78, 72, 36, 42], Operations: []
Exploring Operation: 78-36=42, Resulting Numbers: [72, 42, 42]
Generated Node #2: [72, 42, 42] from Operation: 78-36=42
Current State: 71:[72, 42, 42], Operations: ['78-36=42']
Exploring Operation: 42/42=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 42/42=1
Current State: 71:[72, 1], Operations: ['78-36=42', '42/42=1']
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
44,
26,
52,
19
] | 27 | [
"44-19=25",
"52/26=2",
"25+2=27"
] | Current State: 27:[44, 26, 52, 19], Operations: []
Exploring Operation: 44-19=25, Resulting Numbers: [26, 52, 25]
Generated Node #2: [26, 52, 25] from Operation: 44-19=25
Current State: 27:[26, 52, 25], Operations: ['44-19=25']
Exploring Operation: 52/26=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 52/26=2
Current State: 27:[25, 2], Operations: ['44-19=25', '52/26=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
12,
20,
57,
92
] | 53 | [
"92-12=80",
"80/20=4",
"57-4=53"
] | Current State: 53:[12, 20, 57, 92], Operations: []
Exploring Operation: 92-12=80, Resulting Numbers: [20, 57, 80]
Generated Node #2: [20, 57, 80] from Operation: 92-12=80
Current State: 53:[20, 57, 80], Operations: ['92-12=80']
Exploring Operation: 80/20=4, Resulting Numbers: [57, 4]
Generated Node #3: [57, 4] from Operation: 80/20=4
Current State: 53:[57, 4], Operations: ['92-12=80', '80/20=4']
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
14,
72,
86,
9
] | 70 | [
"14-9=5",
"86-72=14",
"5*14=70"
] | Current State: 70:[14, 72, 86, 9], Operations: []
Exploring Operation: 14-9=5, Resulting Numbers: [72, 86, 5]
Generated Node #2: [72, 86, 5] from Operation: 14-9=5
Current State: 70:[72, 86, 5], Operations: ['14-9=5']
Exploring Operation: 86-72=14, Resulting Numbers: [5, 14]
Generated Node #3: [5, 14] from Operation: 86-72=14
Current State: 70:[5, 14], Operations: ['14-9=5', '86-72=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
3,
36,
22,
13
] | 53 | [
"3*13=39",
"36-22=14",
"39+14=53"
] | Current State: 53:[3, 36, 22, 13], Operations: []
Exploring Operation: 3*13=39, Resulting Numbers: [36, 22, 39]
Generated Node #2: [36, 22, 39] from Operation: 3*13=39
Current State: 53:[36, 22, 39], Operations: ['3*13=39']
Exploring Operation: 36-22=14, Resulting Numbers: [39, 14]
Generated Node #3: [39, 14] from Operation: 36-22=14
Current State: 53:[39, 14], Operations: ['3*13=39', '36-22=14']
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
44,
32,
21,
65
] | 43 | [
"44*32=1408",
"21*65=1365",
"1408-1365=43"
] | Current State: 43:[44, 32, 21, 65], Operations: []
Exploring Operation: 44*32=1408, Resulting Numbers: [21, 65, 1408]
Generated Node #2: [21, 65, 1408] from Operation: 44*32=1408
Current State: 43:[21, 65, 1408], Operations: ['44*32=1408']
Exploring Operation: 21*65=1365, Resulting Numbers: [1408, 1365]
Generated Node #3: [1408, 1365] from Operation: 21*65=1365
Current State: 43:[1408, 1365], Operations: ['44*32=1408', '21*65=1365']
Exploring Operation: 1408-1365=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
48,
92,
26,
24
] | 64 | [
"48/24=2",
"92-26=66",
"66-2=64"
] | Current State: 64:[48, 92, 26, 24], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [92, 26, 2]
Generated Node #2: [92, 26, 2] from Operation: 48/24=2
Current State: 64:[92, 26, 2], Operations: ['48/24=2']
Exploring Operation: 92-26=66, Resulting Numbers: [2, 66]
Generated Node #3: [2, 66] from Operation: 92-26=66
Current State: 64:[2, 66], Operations: ['48/24=2', '92-26=66']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
54,
30,
17,
16
] | 18 | [
"30-17=13",
"16-13=3",
"54/3=18"
] | Current State: 18:[54, 30, 17, 16], Operations: []
Exploring Operation: 30-17=13, Resulting Numbers: [54, 16, 13]
Generated Node #2: [54, 16, 13] from Operation: 30-17=13
Current State: 18:[54, 16, 13], Operations: ['30-17=13']
Exploring Operation: 16-13=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 16-13=3
Current State: 18:[54, 3], Operations: ['30-17=13', '16-13=3']
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
5,
85,
44,
87
] | 78 | [
"44-5=39",
"87-85=2",
"39*2=78"
] | Current State: 78:[5, 85, 44, 87], Operations: []
Exploring Operation: 44-5=39, Resulting Numbers: [85, 87, 39]
Generated Node #2: [85, 87, 39] from Operation: 44-5=39
Current State: 78:[85, 87, 39], Operations: ['44-5=39']
Exploring Operation: 87-85=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 87-85=2
Current State: 78:[39, 2], Operations: ['44-5=39', '87-85=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
2,
75,
58,
3
] | 95 | [
"2*75=150",
"58-3=55",
"150-55=95"
] | Current State: 95:[2, 75, 58, 3], Operations: []
Exploring Operation: 2*75=150, Resulting Numbers: [58, 3, 150]
Generated Node #2: [58, 3, 150] from Operation: 2*75=150
Current State: 95:[58, 3, 150], Operations: ['2*75=150']
Exploring Operation: 58-3=55, Resulting Numbers: [150, 55]
Generated Node #3: [150, 55] from Operation: 58-3=55
Current State: 95:[150, 55], Operations: ['2*75=150', '58-3=55']
Exploring Operation: 150-55=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
52,
26,
72,
59
] | 91 | [
"52+26=78",
"72-59=13",
"78+13=91"
] | Current State: 91:[52, 26, 72, 59], Operations: []
Exploring Operation: 52+26=78, Resulting Numbers: [72, 59, 78]
Generated Node #2: [72, 59, 78] from Operation: 52+26=78
Current State: 91:[72, 59, 78], Operations: ['52+26=78']
Exploring Operation: 72-59=13, Resulting Numbers: [78, 13]
Generated Node #3: [78, 13] from Operation: 72-59=13
Current State: 91:[78, 13], Operations: ['52+26=78', '72-59=13']
Exploring Operation: 78+13=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
89,
10,
92,
84
] | 90 | [
"89-84=5",
"10/5=2",
"92-2=90"
] | Current State: 90:[89, 10, 92, 84], Operations: []
Exploring Operation: 89-84=5, Resulting Numbers: [10, 92, 5]
Generated Node #2: [10, 92, 5] from Operation: 89-84=5
Current State: 90:[10, 92, 5], Operations: ['89-84=5']
Exploring Operation: 10/5=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 10/5=2
Current State: 90:[92, 2], Operations: ['89-84=5', '10/5=2']
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
3,
98,
4,
9
] | 50 | [
"3+9=12",
"4*12=48",
"98-48=50"
] | Current State: 50:[3, 98, 4, 9], Operations: []
Exploring Operation: 3+9=12, Resulting Numbers: [98, 4, 12]
Generated Node #2: [98, 4, 12] from Operation: 3+9=12
Current State: 50:[98, 4, 12], Operations: ['3+9=12']
Exploring Operation: 4*12=48, Resulting Numbers: [98, 48]
Generated Node #3: [98, 48] from Operation: 4*12=48
Current State: 50:[98, 48], Operations: ['3+9=12', '4*12=48']
Exploring Operation: 98-48=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
28,
48,
34,
32
] | 34 | [
"48-34=14",
"28/14=2",
"32+2=34"
] | Current State: 34:[28, 48, 34, 32], Operations: []
Exploring Operation: 48-34=14, Resulting Numbers: [28, 32, 14]
Generated Node #2: [28, 32, 14] from Operation: 48-34=14
Current State: 34:[28, 32, 14], Operations: ['48-34=14']
Exploring Operation: 28/14=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 28/14=2
Current State: 34:[32, 2], Operations: ['48-34=14', '28/14=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
62,
12,
59,
83
] | 74 | [
"62-12=50",
"83-59=24",
"50+24=74"
] | Current State: 74:[62, 12, 59, 83], Operations: []
Exploring Operation: 62-12=50, Resulting Numbers: [59, 83, 50]
Generated Node #2: [59, 83, 50] from Operation: 62-12=50
Current State: 74:[59, 83, 50], Operations: ['62-12=50']
Exploring Operation: 83-59=24, Resulting Numbers: [50, 24]
Generated Node #3: [50, 24] from Operation: 83-59=24
Current State: 74:[50, 24], Operations: ['62-12=50', '83-59=24']
Exploring Operation: 50+24=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
85,
75,
34,
44
] | 74 | [
"75*34=2550",
"2550/85=30",
"44+30=74"
] | Current State: 74:[85, 75, 34, 44], Operations: []
Exploring Operation: 75*34=2550, Resulting Numbers: [85, 44, 2550]
Generated Node #2: [85, 44, 2550] from Operation: 75*34=2550
Current State: 74:[85, 44, 2550], Operations: ['75*34=2550']
Exploring Operation: 2550/85=30, Resulting Numbers: [44, 30]
Generated Node #3: [44, 30] from Operation: 2550/85=30
Current State: 74:[44, 30], Operations: ['75*34=2550', '2550/85=30']
Exploring Operation: 44+30=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
32,
42,
21,
56
] | 60 | [
"42/21=2",
"56/2=28",
"32+28=60"
] | Current State: 60:[32, 42, 21, 56], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [32, 56, 2]
Generated Node #2: [32, 56, 2] from Operation: 42/21=2
Current State: 60:[32, 56, 2], Operations: ['42/21=2']
Exploring Operation: 56/2=28, Resulting Numbers: [32, 28]
Generated Node #3: [32, 28] from Operation: 56/2=28
Current State: 60:[32, 28], Operations: ['42/21=2', '56/2=28']
Exploring Operation: 32+28=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
4,
51,
62,
34
] | 58 | [
"62-34=28",
"28/4=7",
"51+7=58"
] | Current State: 58:[4, 51, 62, 34], Operations: []
Exploring Operation: 62-34=28, Resulting Numbers: [4, 51, 28]
Generated Node #2: [4, 51, 28] from Operation: 62-34=28
Current State: 58:[4, 51, 28], Operations: ['62-34=28']
Exploring Operation: 28/4=7, Resulting Numbers: [51, 7]
Generated Node #3: [51, 7] from Operation: 28/4=7
Current State: 58:[51, 7], Operations: ['62-34=28', '28/4=7']
Exploring Operation: 51+7=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
55,
74,
33,
56
] | 42 | [
"74-55=19",
"56-33=23",
"19+23=42"
] | Current State: 42:[55, 74, 33, 56], Operations: []
Exploring Operation: 74-55=19, Resulting Numbers: [33, 56, 19]
Generated Node #2: [33, 56, 19] from Operation: 74-55=19
Current State: 42:[33, 56, 19], Operations: ['74-55=19']
Exploring Operation: 56-33=23, Resulting Numbers: [19, 23]
Generated Node #3: [19, 23] from Operation: 56-33=23
Current State: 42:[19, 23], Operations: ['74-55=19', '56-33=23']
Exploring Operation: 19+23=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
50,
43,
14,
44
] | 65 | [
"50-43=7",
"14+44=58",
"7+58=65"
] | Current State: 65:[50, 43, 14, 44], Operations: []
Exploring Operation: 50-43=7, Resulting Numbers: [14, 44, 7]
Generated Node #2: [14, 44, 7] from Operation: 50-43=7
Current State: 65:[14, 44, 7], Operations: ['50-43=7']
Exploring Operation: 14+44=58, Resulting Numbers: [7, 58]
Generated Node #3: [7, 58] from Operation: 14+44=58
Current State: 65:[7, 58], Operations: ['50-43=7', '14+44=58']
Exploring Operation: 7+58=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
77,
91,
63,
80
] | 67 | [
"77*80=6160",
"6160-63=6097",
"6097/91=67"
] | Current State: 67:[77, 91, 63, 80], Operations: []
Exploring Operation: 77*80=6160, Resulting Numbers: [91, 63, 6160]
Generated Node #2: [91, 63, 6160] from Operation: 77*80=6160
Current State: 67:[91, 63, 6160], Operations: ['77*80=6160']
Exploring Operation: 6160-63=6097, Resulting Numbers: [91, 6097]
Generated Node #3: [91, 6097] from Operation: 6160-63=6097
Current State: 67:[91, 6097], Operations: ['77*80=6160', '6160-63=6097']
Exploring Operation: 6097/91=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
42,
31,
58,
66
] | 88 | [
"42-31=11",
"66-58=8",
"11*8=88"
] | Current State: 88:[42, 31, 58, 66], Operations: []
Exploring Operation: 42-31=11, Resulting Numbers: [58, 66, 11]
Generated Node #2: [58, 66, 11] from Operation: 42-31=11
Current State: 88:[58, 66, 11], Operations: ['42-31=11']
Exploring Operation: 66-58=8, Resulting Numbers: [11, 8]
Generated Node #3: [11, 8] from Operation: 66-58=8
Current State: 88:[11, 8], Operations: ['42-31=11', '66-58=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
2,
12,
48,
60
] | 42 | [
"12-2=10",
"60/10=6",
"48-6=42"
] | Current State: 42:[2, 12, 48, 60], Operations: []
Exploring Operation: 12-2=10, Resulting Numbers: [48, 60, 10]
Generated Node #2: [48, 60, 10] from Operation: 12-2=10
Current State: 42:[48, 60, 10], Operations: ['12-2=10']
Exploring Operation: 60/10=6, Resulting Numbers: [48, 6]
Generated Node #3: [48, 6] from Operation: 60/10=6
Current State: 42:[48, 6], Operations: ['12-2=10', '60/10=6']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
46,
17,
54,
5
] | 51 | [
"54-46=8",
"8-5=3",
"17*3=51"
] | Current State: 51:[46, 17, 54, 5], Operations: []
Exploring Operation: 54-46=8, Resulting Numbers: [17, 5, 8]
Generated Node #2: [17, 5, 8] from Operation: 54-46=8
Current State: 51:[17, 5, 8], Operations: ['54-46=8']
Exploring Operation: 8-5=3, Resulting Numbers: [17, 3]
Generated Node #3: [17, 3] from Operation: 8-5=3
Current State: 51:[17, 3], Operations: ['54-46=8', '8-5=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
80,
52,
54,
59
] | 61 | [
"80-54=26",
"52/26=2",
"59+2=61"
] | Current State: 61:[80, 52, 54, 59], Operations: []
Exploring Operation: 80-54=26, Resulting Numbers: [52, 59, 26]
Generated Node #2: [52, 59, 26] from Operation: 80-54=26
Current State: 61:[52, 59, 26], Operations: ['80-54=26']
Exploring Operation: 52/26=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 52/26=2
Current State: 61:[59, 2], Operations: ['80-54=26', '52/26=2']
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
59,
69,
29,
89
] | 69 | [
"59+29=88",
"89-88=1",
"69*1=69"
] | Current State: 69:[59, 69, 29, 89], Operations: []
Exploring Operation: 59+29=88, Resulting Numbers: [69, 89, 88]
Generated Node #2: [69, 89, 88] from Operation: 59+29=88
Current State: 69:[69, 89, 88], Operations: ['59+29=88']
Exploring Operation: 89-88=1, Resulting Numbers: [69, 1]
Generated Node #3: [69, 1] from Operation: 89-88=1
Current State: 69:[69, 1], Operations: ['59+29=88', '89-88=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
5,
2,
40,
67
] | 89 | [
"5+40=45",
"2*67=134",
"134-45=89"
] | Current State: 89:[5, 2, 40, 67], Operations: []
Exploring Operation: 5+40=45, Resulting Numbers: [2, 67, 45]
Generated Node #2: [2, 67, 45] from Operation: 5+40=45
Current State: 89:[2, 67, 45], Operations: ['5+40=45']
Exploring Operation: 2*67=134, Resulting Numbers: [45, 134]
Generated Node #3: [45, 134] from Operation: 2*67=134
Current State: 89:[45, 134], Operations: ['5+40=45', '2*67=134']
Exploring Operation: 134-45=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
56,
42,
11,
5
] | 63 | [
"11-5=6",
"42/6=7",
"56+7=63"
] | Current State: 63:[56, 42, 11, 5], Operations: []
Exploring Operation: 11-5=6, Resulting Numbers: [56, 42, 6]
Generated Node #2: [56, 42, 6] from Operation: 11-5=6
Current State: 63:[56, 42, 6], Operations: ['11-5=6']
Exploring Operation: 42/6=7, Resulting Numbers: [56, 7]
Generated Node #3: [56, 7] from Operation: 42/6=7
Current State: 63:[56, 7], Operations: ['11-5=6', '42/6=7']
Exploring Operation: 56+7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
69,
27,
25,
8
] | 85 | [
"27-25=2",
"8*2=16",
"69+16=85"
] | Current State: 85:[69, 27, 25, 8], Operations: []
Exploring Operation: 27-25=2, Resulting Numbers: [69, 8, 2]
Generated Node #2: [69, 8, 2] from Operation: 27-25=2
Current State: 85:[69, 8, 2], Operations: ['27-25=2']
Exploring Operation: 8*2=16, Resulting Numbers: [69, 16]
Generated Node #3: [69, 16] from Operation: 8*2=16
Current State: 85:[69, 16], Operations: ['27-25=2', '8*2=16']
Exploring Operation: 69+16=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
89,
29,
73,
83
] | 50 | [
"89-29=60",
"83-73=10",
"60-10=50"
] | Current State: 50:[89, 29, 73, 83], Operations: []
Exploring Operation: 89-29=60, Resulting Numbers: [73, 83, 60]
Generated Node #2: [73, 83, 60] from Operation: 89-29=60
Current State: 50:[73, 83, 60], Operations: ['89-29=60']
Exploring Operation: 83-73=10, Resulting Numbers: [60, 10]
Generated Node #3: [60, 10] from Operation: 83-73=10
Current State: 50:[60, 10], Operations: ['89-29=60', '83-73=10']
Exploring Operation: 60-10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
82,
77,
87,
7
] | 89 | [
"82-77=5",
"87+7=94",
"94-5=89"
] | Current State: 89:[82, 77, 87, 7], Operations: []
Exploring Operation: 82-77=5, Resulting Numbers: [87, 7, 5]
Generated Node #2: [87, 7, 5] from Operation: 82-77=5
Current State: 89:[87, 7, 5], Operations: ['82-77=5']
Exploring Operation: 87+7=94, Resulting Numbers: [5, 94]
Generated Node #3: [5, 94] from Operation: 87+7=94
Current State: 89:[5, 94], Operations: ['82-77=5', '87+7=94']
Exploring Operation: 94-5=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
71,
55,
49,
20
] | 21 | [
"55*20=1100",
"1100-71=1029",
"1029/49=21"
] | Current State: 21:[71, 55, 49, 20], Operations: []
Exploring Operation: 55*20=1100, Resulting Numbers: [71, 49, 1100]
Generated Node #2: [71, 49, 1100] from Operation: 55*20=1100
Current State: 21:[71, 49, 1100], Operations: ['55*20=1100']
Exploring Operation: 1100-71=1029, Resulting Numbers: [49, 1029]
Generated Node #3: [49, 1029] from Operation: 1100-71=1029
Current State: 21:[49, 1029], Operations: ['55*20=1100', '1100-71=1029']
Exploring Operation: 1029/49=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
87,
55,
31,
80
] | 80 | [
"87-55=32",
"32-31=1",
"80*1=80"
] | Current State: 80:[87, 55, 31, 80], Operations: []
Exploring Operation: 87-55=32, Resulting Numbers: [31, 80, 32]
Generated Node #2: [31, 80, 32] from Operation: 87-55=32
Current State: 80:[31, 80, 32], Operations: ['87-55=32']
Exploring Operation: 32-31=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 32-31=1
Current State: 80:[80, 1], Operations: ['87-55=32', '32-31=1']
Exploring Operation: 80*1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
33,
4,
7,
44
] | 51 | [
"33+7=40",
"44/4=11",
"40+11=51"
] | Current State: 51:[33, 4, 7, 44], Operations: []
Exploring Operation: 33+7=40, Resulting Numbers: [4, 44, 40]
Generated Node #2: [4, 44, 40] from Operation: 33+7=40
Current State: 51:[4, 44, 40], Operations: ['33+7=40']
Exploring Operation: 44/4=11, Resulting Numbers: [40, 11]
Generated Node #3: [40, 11] from Operation: 44/4=11
Current State: 51:[40, 11], Operations: ['33+7=40', '44/4=11']
Exploring Operation: 40+11=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
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