nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
30,
44,
25,
45
] | 98 | [
"30*45=1350",
"1350/25=54",
"44+54=98"
] | Current State: 98:[30, 44, 25, 45], Operations: []
Exploring Operation: 30*45=1350, Resulting Numbers: [44, 25, 1350]
Generated Node #2: [44, 25, 1350] from Operation: 30*45=1350
Current State: 98:[44, 25, 1350], Operations: ['30*45=1350']
Exploring Operation: 1350/25=54, Resulting Numbers: [44, 54]
Generated Node #3: [44, 54] from Operation: 1350/25=54
Current State: 98:[44, 54], Operations: ['30*45=1350', '1350/25=54']
Exploring Operation: 44+54=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
39,
65,
11,
30
] | 29 | [
"39*30=1170",
"1170/65=18",
"11+18=29"
] | Current State: 29:[39, 65, 11, 30], Operations: []
Exploring Operation: 39*30=1170, Resulting Numbers: [65, 11, 1170]
Generated Node #2: [65, 11, 1170] from Operation: 39*30=1170
Current State: 29:[65, 11, 1170], Operations: ['39*30=1170']
Exploring Operation: 1170/65=18, Resulting Numbers: [11, 18]
Generated Node #3: [11, 18] from Operation: 1170/65=18
Current State: 29:[11, 18], Operations: ['39*30=1170', '1170/65=18']
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
14,
27,
26,
69
] | 71 | [
"27-14=13",
"26/13=2",
"69+2=71"
] | Current State: 71:[14, 27, 26, 69], Operations: []
Exploring Operation: 27-14=13, Resulting Numbers: [26, 69, 13]
Generated Node #2: [26, 69, 13] from Operation: 27-14=13
Current State: 71:[26, 69, 13], Operations: ['27-14=13']
Exploring Operation: 26/13=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 26/13=2
Current State: 71:[69, 2], Operations: ['27-14=13', '26/13=2']
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
4,
83,
25,
62
] | 16 | [
"83-25=58",
"62-58=4",
"4*4=16"
] | Current State: 16:[4, 83, 25, 62], Operations: []
Exploring Operation: 83-25=58, Resulting Numbers: [4, 62, 58]
Generated Node #2: [4, 62, 58] from Operation: 83-25=58
Current State: 16:[4, 62, 58], Operations: ['83-25=58']
Exploring Operation: 62-58=4, Resulting Numbers: [4, 4]
Generated Node #3: [4, 4] from Operation: 62-58=4
Current State: 16:[4, 4], Operations: ['83-25=58', '62-58=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
23,
90,
5,
75
] | 82 | [
"90-23=67",
"75/5=15",
"67+15=82"
] | Current State: 82:[23, 90, 5, 75], Operations: []
Exploring Operation: 90-23=67, Resulting Numbers: [5, 75, 67]
Generated Node #2: [5, 75, 67] from Operation: 90-23=67
Current State: 82:[5, 75, 67], Operations: ['90-23=67']
Exploring Operation: 75/5=15, Resulting Numbers: [67, 15]
Generated Node #3: [67, 15] from Operation: 75/5=15
Current State: 82:[67, 15], Operations: ['90-23=67', '75/5=15']
Exploring Operation: 67+15=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
94,
49,
48,
9
] | 12 | [
"94-49=45",
"48+9=57",
"57-45=12"
] | Current State: 12:[94, 49, 48, 9], Operations: []
Exploring Operation: 94-49=45, Resulting Numbers: [48, 9, 45]
Generated Node #2: [48, 9, 45] from Operation: 94-49=45
Current State: 12:[48, 9, 45], Operations: ['94-49=45']
Exploring Operation: 48+9=57, Resulting Numbers: [45, 57]
Generated Node #3: [45, 57] from Operation: 48+9=57
Current State: 12:[45, 57], Operations: ['94-49=45', '48+9=57']
Exploring Operation: 57-45=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
76,
62,
66,
63
] | 10 | [
"76-66=10",
"63-62=1",
"10*1=10"
] | Current State: 10:[76, 62, 66, 63], Operations: []
Exploring Operation: 76-66=10, Resulting Numbers: [62, 63, 10]
Generated Node #2: [62, 63, 10] from Operation: 76-66=10
Current State: 10:[62, 63, 10], Operations: ['76-66=10']
Exploring Operation: 63-62=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 63-62=1
Current State: 10:[10, 1], Operations: ['76-66=10', '63-62=1']
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
4,
57,
91,
73
] | 98 | [
"91+73=164",
"164/4=41",
"57+41=98"
] | Current State: 98:[4, 57, 91, 73], Operations: []
Exploring Operation: 91+73=164, Resulting Numbers: [4, 57, 164]
Generated Node #2: [4, 57, 164] from Operation: 91+73=164
Current State: 98:[4, 57, 164], Operations: ['91+73=164']
Exploring Operation: 164/4=41, Resulting Numbers: [57, 41]
Generated Node #3: [57, 41] from Operation: 164/4=41
Current State: 98:[57, 41], Operations: ['91+73=164', '164/4=41']
Exploring Operation: 57+41=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
21,
52,
24,
77
] | 96 | [
"21+52=73",
"77-73=4",
"24*4=96"
] | Current State: 96:[21, 52, 24, 77], Operations: []
Exploring Operation: 21+52=73, Resulting Numbers: [24, 77, 73]
Generated Node #2: [24, 77, 73] from Operation: 21+52=73
Current State: 96:[24, 77, 73], Operations: ['21+52=73']
Exploring Operation: 77-73=4, Resulting Numbers: [24, 4]
Generated Node #3: [24, 4] from Operation: 77-73=4
Current State: 96:[24, 4], Operations: ['21+52=73', '77-73=4']
Exploring Operation: 24*4=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
46,
34,
76,
92
] | 55 | [
"92/46=2",
"34+76=110",
"110/2=55"
] | Current State: 55:[46, 34, 76, 92], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [34, 76, 2]
Generated Node #2: [34, 76, 2] from Operation: 92/46=2
Current State: 55:[34, 76, 2], Operations: ['92/46=2']
Exploring Operation: 34+76=110, Resulting Numbers: [2, 110]
Generated Node #3: [2, 110] from Operation: 34+76=110
Current State: 55:[2, 110], Operations: ['92/46=2', '34+76=110']
Exploring Operation: 110/2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
7,
79,
1,
1
] | 87 | [
"7+79=86",
"1*1=1",
"86+1=87"
] | Current State: 87:[7, 79, 1, 1], Operations: []
Exploring Operation: 7+79=86, Resulting Numbers: [1, 1, 86]
Generated Node #2: [1, 1, 86] from Operation: 7+79=86
Current State: 87:[1, 1, 86], Operations: ['7+79=86']
Exploring Operation: 1*1=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 1*1=1
Current State: 87:[86, 1], Operations: ['7+79=86', '1*1=1']
Exploring Operation: 86+1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
10,
2,
2,
74
] | 84 | [
"10+2=12",
"74-2=72",
"12+72=84"
] | Current State: 84:[10, 2, 2, 74], Operations: []
Exploring Operation: 10+2=12, Resulting Numbers: [74, 12]
Generated Node #2: [74, 12] from Operation: 10+2=12
Current State: 84:[74, 12], Operations: ['10+2=12']
Exploring Operation: 74-2=72, Resulting Numbers: [12, 72]
Generated Node #3: [12, 72] from Operation: 74-2=72
Current State: 84:[12, 72], Operations: ['10+2=12', '74-2=72']
Exploring Operation: 12+72=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
58,
60,
79,
55
] | 99 | [
"58-55=3",
"60/3=20",
"79+20=99"
] | Current State: 99:[58, 60, 79, 55], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [60, 79, 3]
Generated Node #2: [60, 79, 3] from Operation: 58-55=3
Current State: 99:[60, 79, 3], Operations: ['58-55=3']
Exploring Operation: 60/3=20, Resulting Numbers: [79, 20]
Generated Node #3: [79, 20] from Operation: 60/3=20
Current State: 99:[79, 20], Operations: ['58-55=3', '60/3=20']
Exploring Operation: 79+20=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
78,
9,
76,
94
] | 68 | [
"94-78=16",
"9*16=144",
"144-76=68"
] | Current State: 68:[78, 9, 76, 94], Operations: []
Exploring Operation: 94-78=16, Resulting Numbers: [9, 76, 16]
Generated Node #2: [9, 76, 16] from Operation: 94-78=16
Current State: 68:[9, 76, 16], Operations: ['94-78=16']
Exploring Operation: 9*16=144, Resulting Numbers: [76, 144]
Generated Node #3: [76, 144] from Operation: 9*16=144
Current State: 68:[76, 144], Operations: ['94-78=16', '9*16=144']
Exploring Operation: 144-76=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
63,
10,
45,
55
] | 47 | [
"63-10=53",
"45+55=100",
"100-53=47"
] | Current State: 47:[63, 10, 45, 55], Operations: []
Exploring Operation: 63-10=53, Resulting Numbers: [45, 55, 53]
Generated Node #2: [45, 55, 53] from Operation: 63-10=53
Current State: 47:[45, 55, 53], Operations: ['63-10=53']
Exploring Operation: 45+55=100, Resulting Numbers: [53, 100]
Generated Node #3: [53, 100] from Operation: 45+55=100
Current State: 47:[53, 100], Operations: ['63-10=53', '45+55=100']
Exploring Operation: 100-53=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
42,
56,
52,
9
] | 75 | [
"56-42=14",
"52+9=61",
"14+61=75"
] | Current State: 75:[42, 56, 52, 9], Operations: []
Exploring Operation: 56-42=14, Resulting Numbers: [52, 9, 14]
Generated Node #2: [52, 9, 14] from Operation: 56-42=14
Current State: 75:[52, 9, 14], Operations: ['56-42=14']
Exploring Operation: 52+9=61, Resulting Numbers: [14, 61]
Generated Node #3: [14, 61] from Operation: 52+9=61
Current State: 75:[14, 61], Operations: ['56-42=14', '52+9=61']
Exploring Operation: 14+61=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
94,
41,
35,
21
] | 32 | [
"41-35=6",
"21*6=126",
"126-94=32"
] | Current State: 32:[94, 41, 35, 21], Operations: []
Exploring Operation: 41-35=6, Resulting Numbers: [94, 21, 6]
Generated Node #2: [94, 21, 6] from Operation: 41-35=6
Current State: 32:[94, 21, 6], Operations: ['41-35=6']
Exploring Operation: 21*6=126, Resulting Numbers: [94, 126]
Generated Node #3: [94, 126] from Operation: 21*6=126
Current State: 32:[94, 126], Operations: ['41-35=6', '21*6=126']
Exploring Operation: 126-94=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
74,
47,
12,
92
] | 77 | [
"74-47=27",
"12+92=104",
"104-27=77"
] | Current State: 77:[74, 47, 12, 92], Operations: []
Exploring Operation: 74-47=27, Resulting Numbers: [12, 92, 27]
Generated Node #2: [12, 92, 27] from Operation: 74-47=27
Current State: 77:[12, 92, 27], Operations: ['74-47=27']
Exploring Operation: 12+92=104, Resulting Numbers: [27, 104]
Generated Node #3: [27, 104] from Operation: 12+92=104
Current State: 77:[27, 104], Operations: ['74-47=27', '12+92=104']
Exploring Operation: 104-27=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
88,
2,
59,
26
] | 28 | [
"88-26=62",
"62/2=31",
"59-31=28"
] | Current State: 28:[88, 2, 59, 26], Operations: []
Exploring Operation: 88-26=62, Resulting Numbers: [2, 59, 62]
Generated Node #2: [2, 59, 62] from Operation: 88-26=62
Current State: 28:[2, 59, 62], Operations: ['88-26=62']
Exploring Operation: 62/2=31, Resulting Numbers: [59, 31]
Generated Node #3: [59, 31] from Operation: 62/2=31
Current State: 28:[59, 31], Operations: ['88-26=62', '62/2=31']
Exploring Operation: 59-31=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
50,
72,
17,
4
] | 46 | [
"72-50=22",
"17*4=68",
"68-22=46"
] | Current State: 46:[50, 72, 17, 4], Operations: []
Exploring Operation: 72-50=22, Resulting Numbers: [17, 4, 22]
Generated Node #2: [17, 4, 22] from Operation: 72-50=22
Current State: 46:[17, 4, 22], Operations: ['72-50=22']
Exploring Operation: 17*4=68, Resulting Numbers: [22, 68]
Generated Node #3: [22, 68] from Operation: 17*4=68
Current State: 46:[22, 68], Operations: ['72-50=22', '17*4=68']
Exploring Operation: 68-22=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
19,
12,
6,
9
] | 61 | [
"19-12=7",
"6*9=54",
"7+54=61"
] | Current State: 61:[19, 12, 6, 9], Operations: []
Exploring Operation: 19-12=7, Resulting Numbers: [6, 9, 7]
Generated Node #2: [6, 9, 7] from Operation: 19-12=7
Current State: 61:[6, 9, 7], Operations: ['19-12=7']
Exploring Operation: 6*9=54, Resulting Numbers: [7, 54]
Generated Node #3: [7, 54] from Operation: 6*9=54
Current State: 61:[7, 54], Operations: ['19-12=7', '6*9=54']
Exploring Operation: 7+54=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
64,
22,
68,
22
] | 16 | [
"64+68=132",
"132/22=6",
"22-6=16"
] | Current State: 16:[64, 22, 68, 22], Operations: []
Exploring Operation: 64+68=132, Resulting Numbers: [22, 22, 132]
Generated Node #2: [22, 22, 132] from Operation: 64+68=132
Current State: 16:[22, 22, 132], Operations: ['64+68=132']
Exploring Operation: 132/22=6, Resulting Numbers: [6]
6,16 equal: Goal Reached
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
12,
13,
2,
25
] | 62 | [
"12*2=24",
"13+25=38",
"24+38=62"
] | Current State: 62:[12, 13, 2, 25], Operations: []
Exploring Operation: 12*2=24, Resulting Numbers: [13, 25, 24]
Generated Node #2: [13, 25, 24] from Operation: 12*2=24
Current State: 62:[13, 25, 24], Operations: ['12*2=24']
Exploring Operation: 13+25=38, Resulting Numbers: [24, 38]
Generated Node #3: [24, 38] from Operation: 13+25=38
Current State: 62:[24, 38], Operations: ['12*2=24', '13+25=38']
Exploring Operation: 24+38=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
17,
84,
20,
28
] | 70 | [
"17*84=1428",
"1428-28=1400",
"1400/20=70"
] | Current State: 70:[17, 84, 20, 28], Operations: []
Exploring Operation: 17*84=1428, Resulting Numbers: [20, 28, 1428]
Generated Node #2: [20, 28, 1428] from Operation: 17*84=1428
Current State: 70:[20, 28, 1428], Operations: ['17*84=1428']
Exploring Operation: 1428-28=1400, Resulting Numbers: [20, 1400]
Generated Node #3: [20, 1400] from Operation: 1428-28=1400
Current State: 70:[20, 1400], Operations: ['17*84=1428', '1428-28=1400']
Exploring Operation: 1400/20=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
80,
24,
93,
24
] | 35 | [
"80+24=104",
"93-24=69",
"104-69=35"
] | Current State: 35:[80, 24, 93, 24], Operations: []
Exploring Operation: 80+24=104, Resulting Numbers: [93, 104]
Generated Node #2: [93, 104] from Operation: 80+24=104
Current State: 35:[93, 104], Operations: ['80+24=104']
Exploring Operation: 93-24=69, Resulting Numbers: [104, 69]
Generated Node #3: [104, 69] from Operation: 93-24=69
Current State: 35:[104, 69], Operations: ['80+24=104', '93-24=69']
Exploring Operation: 104-69=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
24,
74,
11,
78
] | 52 | [
"24-11=13",
"78-74=4",
"13*4=52"
] | Current State: 52:[24, 74, 11, 78], Operations: []
Exploring Operation: 24-11=13, Resulting Numbers: [74, 78, 13]
Generated Node #2: [74, 78, 13] from Operation: 24-11=13
Current State: 52:[74, 78, 13], Operations: ['24-11=13']
Exploring Operation: 78-74=4, Resulting Numbers: [13, 4]
Generated Node #3: [13, 4] from Operation: 78-74=4
Current State: 52:[13, 4], Operations: ['24-11=13', '78-74=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
44,
61,
36,
20
] | 39 | [
"61-44=17",
"36+20=56",
"56-17=39"
] | Current State: 39:[44, 61, 36, 20], Operations: []
Exploring Operation: 61-44=17, Resulting Numbers: [36, 20, 17]
Generated Node #2: [36, 20, 17] from Operation: 61-44=17
Current State: 39:[36, 20, 17], Operations: ['61-44=17']
Exploring Operation: 36+20=56, Resulting Numbers: [17, 56]
Generated Node #3: [17, 56] from Operation: 36+20=56
Current State: 39:[17, 56], Operations: ['61-44=17', '36+20=56']
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
81,
46,
2,
10
] | 40 | [
"81-46=35",
"10/2=5",
"35+5=40"
] | Current State: 40:[81, 46, 2, 10], Operations: []
Exploring Operation: 81-46=35, Resulting Numbers: [2, 10, 35]
Generated Node #2: [2, 10, 35] from Operation: 81-46=35
Current State: 40:[2, 10, 35], Operations: ['81-46=35']
Exploring Operation: 10/2=5, Resulting Numbers: [35, 5]
Generated Node #3: [35, 5] from Operation: 10/2=5
Current State: 40:[35, 5], Operations: ['81-46=35', '10/2=5']
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
38,
47,
49,
15
] | 51 | [
"38+47=85",
"49-15=34",
"85-34=51"
] | Current State: 51:[38, 47, 49, 15], Operations: []
Exploring Operation: 38+47=85, Resulting Numbers: [49, 15, 85]
Generated Node #2: [49, 15, 85] from Operation: 38+47=85
Current State: 51:[49, 15, 85], Operations: ['38+47=85']
Exploring Operation: 49-15=34, Resulting Numbers: [85, 34]
Generated Node #3: [85, 34] from Operation: 49-15=34
Current State: 51:[85, 34], Operations: ['38+47=85', '49-15=34']
Exploring Operation: 85-34=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
1,
79,
29,
29
] | 20 | [
"79-1=78",
"29+29=58",
"78-58=20"
] | Current State: 20:[1, 79, 29, 29], Operations: []
Exploring Operation: 79-1=78, Resulting Numbers: [29, 29, 78]
Generated Node #2: [29, 29, 78] from Operation: 79-1=78
Current State: 20:[29, 29, 78], Operations: ['79-1=78']
Exploring Operation: 29+29=58, Resulting Numbers: [78, 58]
Generated Node #3: [78, 58] from Operation: 29+29=58
Current State: 20:[78, 58], Operations: ['79-1=78', '29+29=58']
Exploring Operation: 78-58=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
60,
35,
31,
45
] | 28 | [
"60+45=105",
"105/35=3",
"31-3=28"
] | Current State: 28:[60, 35, 31, 45], Operations: []
Exploring Operation: 60+45=105, Resulting Numbers: [35, 31, 105]
Generated Node #2: [35, 31, 105] from Operation: 60+45=105
Current State: 28:[35, 31, 105], Operations: ['60+45=105']
Exploring Operation: 105/35=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 105/35=3
Current State: 28:[31, 3], Operations: ['60+45=105', '105/35=3']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
55,
91,
26,
49
] | 59 | [
"91-55=36",
"49-26=23",
"36+23=59"
] | Current State: 59:[55, 91, 26, 49], Operations: []
Exploring Operation: 91-55=36, Resulting Numbers: [26, 49, 36]
Generated Node #2: [26, 49, 36] from Operation: 91-55=36
Current State: 59:[26, 49, 36], Operations: ['91-55=36']
Exploring Operation: 49-26=23, Resulting Numbers: [36, 23]
Generated Node #3: [36, 23] from Operation: 49-26=23
Current State: 59:[36, 23], Operations: ['91-55=36', '49-26=23']
Exploring Operation: 36+23=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
89,
8,
25,
44
] | 52 | [
"89-25=64",
"64/8=8",
"44+8=52"
] | Current State: 52:[89, 8, 25, 44], Operations: []
Exploring Operation: 89-25=64, Resulting Numbers: [8, 44, 64]
Generated Node #2: [8, 44, 64] from Operation: 89-25=64
Current State: 52:[8, 44, 64], Operations: ['89-25=64']
Exploring Operation: 64/8=8, Resulting Numbers: [44, 8]
Generated Node #3: [44, 8] from Operation: 64/8=8
Current State: 52:[44, 8], Operations: ['89-25=64', '64/8=8']
Exploring Operation: 44+8=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
39,
55,
88,
12
] | 18 | [
"39+55=94",
"88-12=76",
"94-76=18"
] | Current State: 18:[39, 55, 88, 12], Operations: []
Exploring Operation: 39+55=94, Resulting Numbers: [88, 12, 94]
Generated Node #2: [88, 12, 94] from Operation: 39+55=94
Current State: 18:[88, 12, 94], Operations: ['39+55=94']
Exploring Operation: 88-12=76, Resulting Numbers: [94, 76]
Generated Node #3: [94, 76] from Operation: 88-12=76
Current State: 18:[94, 76], Operations: ['39+55=94', '88-12=76']
Exploring Operation: 94-76=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
3,
29,
63,
43
] | 80 | [
"29-3=26",
"63+43=106",
"106-26=80"
] | Current State: 80:[3, 29, 63, 43], Operations: []
Exploring Operation: 29-3=26, Resulting Numbers: [63, 43, 26]
Generated Node #2: [63, 43, 26] from Operation: 29-3=26
Current State: 80:[63, 43, 26], Operations: ['29-3=26']
Exploring Operation: 63+43=106, Resulting Numbers: [26, 106]
Generated Node #3: [26, 106] from Operation: 63+43=106
Current State: 80:[26, 106], Operations: ['29-3=26', '63+43=106']
Exploring Operation: 106-26=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
7,
5,
18,
47
] | 20 | [
"18+47=65",
"65/5=13",
"7+13=20"
] | Current State: 20:[7, 5, 18, 47], Operations: []
Exploring Operation: 18+47=65, Resulting Numbers: [7, 5, 65]
Generated Node #2: [7, 5, 65] from Operation: 18+47=65
Current State: 20:[7, 5, 65], Operations: ['18+47=65']
Exploring Operation: 65/5=13, Resulting Numbers: [7, 13]
Generated Node #3: [7, 13] from Operation: 65/5=13
Current State: 20:[7, 13], Operations: ['18+47=65', '65/5=13']
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
84,
64,
83,
95
] | 30 | [
"84+64=148",
"83+95=178",
"178-148=30"
] | Current State: 30:[84, 64, 83, 95], Operations: []
Exploring Operation: 84+64=148, Resulting Numbers: [83, 95, 148]
Generated Node #2: [83, 95, 148] from Operation: 84+64=148
Current State: 30:[83, 95, 148], Operations: ['84+64=148']
Exploring Operation: 83+95=178, Resulting Numbers: [148, 178]
Generated Node #3: [148, 178] from Operation: 83+95=178
Current State: 30:[148, 178], Operations: ['84+64=148', '83+95=178']
Exploring Operation: 178-148=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
83,
41,
93,
92
] | 41 | [
"83-41=42",
"93-92=1",
"42-1=41"
] | Current State: 41:[83, 41, 93, 92], Operations: []
Exploring Operation: 83-41=42, Resulting Numbers: [93, 92, 42]
Generated Node #2: [93, 92, 42] from Operation: 83-41=42
Current State: 41:[93, 92, 42], Operations: ['83-41=42']
Exploring Operation: 93-92=1, Resulting Numbers: [42, 1]
Generated Node #3: [42, 1] from Operation: 93-92=1
Current State: 41:[42, 1], Operations: ['83-41=42', '93-92=1']
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
66,
31,
28,
75
] | 42 | [
"66*28=1848",
"75-31=44",
"1848/44=42"
] | Current State: 42:[66, 31, 28, 75], Operations: []
Exploring Operation: 66*28=1848, Resulting Numbers: [31, 75, 1848]
Generated Node #2: [31, 75, 1848] from Operation: 66*28=1848
Current State: 42:[31, 75, 1848], Operations: ['66*28=1848']
Exploring Operation: 75-31=44, Resulting Numbers: [1848, 44]
Generated Node #3: [1848, 44] from Operation: 75-31=44
Current State: 42:[1848, 44], Operations: ['66*28=1848', '75-31=44']
Exploring Operation: 1848/44=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
66,
3,
11,
22
] | 77 | [
"66-22=44",
"3*11=33",
"44+33=77"
] | Current State: 77:[66, 3, 11, 22], Operations: []
Exploring Operation: 66-22=44, Resulting Numbers: [3, 11, 44]
Generated Node #2: [3, 11, 44] from Operation: 66-22=44
Current State: 77:[3, 11, 44], Operations: ['66-22=44']
Exploring Operation: 3*11=33, Resulting Numbers: [44, 33]
Generated Node #3: [44, 33] from Operation: 3*11=33
Current State: 77:[44, 33], Operations: ['66-22=44', '3*11=33']
Exploring Operation: 44+33=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
48,
93,
48,
8
] | 39 | [
"93-48=45",
"48/8=6",
"45-6=39"
] | Current State: 39:[48, 93, 48, 8], Operations: []
Exploring Operation: 93-48=45, Resulting Numbers: [8, 45]
Generated Node #2: [8, 45] from Operation: 93-48=45
Current State: 39:[8, 45], Operations: ['93-48=45']
Exploring Operation: 48/8=6, Resulting Numbers: [45, 6]
Generated Node #3: [45, 6] from Operation: 48/8=6
Current State: 39:[45, 6], Operations: ['93-48=45', '48/8=6']
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
74,
63,
65,
89
] | 30 | [
"89-74=15",
"65-63=2",
"15*2=30"
] | Current State: 30:[74, 63, 65, 89], Operations: []
Exploring Operation: 89-74=15, Resulting Numbers: [63, 65, 15]
Generated Node #2: [63, 65, 15] from Operation: 89-74=15
Current State: 30:[63, 65, 15], Operations: ['89-74=15']
Exploring Operation: 65-63=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 65-63=2
Current State: 30:[15, 2], Operations: ['89-74=15', '65-63=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
22,
55,
57,
36
] | 55 | [
"57-22=35",
"36-35=1",
"55*1=55"
] | Current State: 55:[22, 55, 57, 36], Operations: []
Exploring Operation: 57-22=35, Resulting Numbers: [55, 36, 35]
Generated Node #2: [55, 36, 35] from Operation: 57-22=35
Current State: 55:[55, 36, 35], Operations: ['57-22=35']
Exploring Operation: 36-35=1, Resulting Numbers: [55, 1]
Generated Node #3: [55, 1] from Operation: 36-35=1
Current State: 55:[55, 1], Operations: ['57-22=35', '36-35=1']
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
34,
3,
41,
1
] | 24 | [
"34+41=75",
"75/3=25",
"25-1=24"
] | Current State: 24:[34, 3, 41, 1], Operations: []
Exploring Operation: 34+41=75, Resulting Numbers: [3, 1, 75]
Generated Node #2: [3, 1, 75] from Operation: 34+41=75
Current State: 24:[3, 1, 75], Operations: ['34+41=75']
Exploring Operation: 75/3=25, Resulting Numbers: [1, 25]
Generated Node #3: [1, 25] from Operation: 75/3=25
Current State: 24:[1, 25], Operations: ['34+41=75', '75/3=25']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
8,
1,
74,
32
] | 33 | [
"8+1=9",
"74-32=42",
"42-9=33"
] | Current State: 33:[8, 1, 74, 32], Operations: []
Exploring Operation: 8+1=9, Resulting Numbers: [74, 32, 9]
Generated Node #2: [74, 32, 9] from Operation: 8+1=9
Current State: 33:[74, 32, 9], Operations: ['8+1=9']
Exploring Operation: 74-32=42, Resulting Numbers: [9, 42]
Generated Node #3: [9, 42] from Operation: 74-32=42
Current State: 33:[9, 42], Operations: ['8+1=9', '74-32=42']
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
2,
82,
48,
27
] | 59 | [
"82-2=80",
"48-27=21",
"80-21=59"
] | Current State: 59:[2, 82, 48, 27], Operations: []
Exploring Operation: 82-2=80, Resulting Numbers: [48, 27, 80]
Generated Node #2: [48, 27, 80] from Operation: 82-2=80
Current State: 59:[48, 27, 80], Operations: ['82-2=80']
Exploring Operation: 48-27=21, Resulting Numbers: [80, 21]
Generated Node #3: [80, 21] from Operation: 48-27=21
Current State: 59:[80, 21], Operations: ['82-2=80', '48-27=21']
Exploring Operation: 80-21=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
5,
91,
56,
14
] | 44 | [
"91-5=86",
"56-14=42",
"86-42=44"
] | Current State: 44:[5, 91, 56, 14], Operations: []
Exploring Operation: 91-5=86, Resulting Numbers: [56, 14, 86]
Generated Node #2: [56, 14, 86] from Operation: 91-5=86
Current State: 44:[56, 14, 86], Operations: ['91-5=86']
Exploring Operation: 56-14=42, Resulting Numbers: [86, 42]
Generated Node #3: [86, 42] from Operation: 56-14=42
Current State: 44:[86, 42], Operations: ['91-5=86', '56-14=42']
Exploring Operation: 86-42=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
43,
38,
62,
28
] | 26 | [
"62-43=19",
"38/19=2",
"28-2=26"
] | Current State: 26:[43, 38, 62, 28], Operations: []
Exploring Operation: 62-43=19, Resulting Numbers: [38, 28, 19]
Generated Node #2: [38, 28, 19] from Operation: 62-43=19
Current State: 26:[38, 28, 19], Operations: ['62-43=19']
Exploring Operation: 38/19=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 38/19=2
Current State: 26:[28, 2], Operations: ['62-43=19', '38/19=2']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
26,
41,
75,
80
] | 88 | [
"26+41=67",
"75+80=155",
"155-67=88"
] | Current State: 88:[26, 41, 75, 80], Operations: []
Exploring Operation: 26+41=67, Resulting Numbers: [75, 80, 67]
Generated Node #2: [75, 80, 67] from Operation: 26+41=67
Current State: 88:[75, 80, 67], Operations: ['26+41=67']
Exploring Operation: 75+80=155, Resulting Numbers: [67, 155]
Generated Node #3: [67, 155] from Operation: 75+80=155
Current State: 88:[67, 155], Operations: ['26+41=67', '75+80=155']
Exploring Operation: 155-67=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
73,
24,
43,
7
] | 61 | [
"73+24=97",
"43-7=36",
"97-36=61"
] | Current State: 61:[73, 24, 43, 7], Operations: []
Exploring Operation: 73+24=97, Resulting Numbers: [43, 7, 97]
Generated Node #2: [43, 7, 97] from Operation: 73+24=97
Current State: 61:[43, 7, 97], Operations: ['73+24=97']
Exploring Operation: 43-7=36, Resulting Numbers: [97, 36]
Generated Node #3: [97, 36] from Operation: 43-7=36
Current State: 61:[97, 36], Operations: ['73+24=97', '43-7=36']
Exploring Operation: 97-36=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
2,
6,
84,
43
] | 88 | [
"6-2=4",
"43*4=172",
"172-84=88"
] | Current State: 88:[2, 6, 84, 43], Operations: []
Exploring Operation: 6-2=4, Resulting Numbers: [84, 43, 4]
Generated Node #2: [84, 43, 4] from Operation: 6-2=4
Current State: 88:[84, 43, 4], Operations: ['6-2=4']
Exploring Operation: 43*4=172, Resulting Numbers: [84, 172]
Generated Node #3: [84, 172] from Operation: 43*4=172
Current State: 88:[84, 172], Operations: ['6-2=4', '43*4=172']
Exploring Operation: 172-84=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
58,
7,
72,
44
] | 62 | [
"72-44=28",
"28/7=4",
"58+4=62"
] | Current State: 62:[58, 7, 72, 44], Operations: []
Exploring Operation: 72-44=28, Resulting Numbers: [58, 7, 28]
Generated Node #2: [58, 7, 28] from Operation: 72-44=28
Current State: 62:[58, 7, 28], Operations: ['72-44=28']
Exploring Operation: 28/7=4, Resulting Numbers: [58, 4]
Generated Node #3: [58, 4] from Operation: 28/7=4
Current State: 62:[58, 4], Operations: ['72-44=28', '28/7=4']
Exploring Operation: 58+4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
79,
3,
56,
94
] | 11 | [
"94-79=15",
"3*15=45",
"56-45=11"
] | Current State: 11:[79, 3, 56, 94], Operations: []
Exploring Operation: 94-79=15, Resulting Numbers: [3, 56, 15]
Generated Node #2: [3, 56, 15] from Operation: 94-79=15
Current State: 11:[3, 56, 15], Operations: ['94-79=15']
Exploring Operation: 3*15=45, Resulting Numbers: [56, 45]
Generated Node #3: [56, 45] from Operation: 3*15=45
Current State: 11:[56, 45], Operations: ['94-79=15', '3*15=45']
Exploring Operation: 56-45=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
37,
78,
47,
70
] | 85 | [
"47-37=10",
"70/10=7",
"78+7=85"
] | Current State: 85:[37, 78, 47, 70], Operations: []
Exploring Operation: 47-37=10, Resulting Numbers: [78, 70, 10]
Generated Node #2: [78, 70, 10] from Operation: 47-37=10
Current State: 85:[78, 70, 10], Operations: ['47-37=10']
Exploring Operation: 70/10=7, Resulting Numbers: [78, 7]
Generated Node #3: [78, 7] from Operation: 70/10=7
Current State: 85:[78, 7], Operations: ['47-37=10', '70/10=7']
Exploring Operation: 78+7=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
69,
89,
97,
91
] | 41 | [
"91-89=2",
"69*2=138",
"138-97=41"
] | Current State: 41:[69, 89, 97, 91], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [69, 97, 2]
Generated Node #2: [69, 97, 2] from Operation: 91-89=2
Current State: 41:[69, 97, 2], Operations: ['91-89=2']
Exploring Operation: 69*2=138, Resulting Numbers: [97, 138]
Generated Node #3: [97, 138] from Operation: 69*2=138
Current State: 41:[97, 138], Operations: ['91-89=2', '69*2=138']
Exploring Operation: 138-97=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
98,
18,
50,
13
] | 10 | [
"98-18=80",
"50+80=130",
"130/13=10"
] | Current State: 10:[98, 18, 50, 13], Operations: []
Exploring Operation: 98-18=80, Resulting Numbers: [50, 13, 80]
Generated Node #2: [50, 13, 80] from Operation: 98-18=80
Current State: 10:[50, 13, 80], Operations: ['98-18=80']
Exploring Operation: 50+80=130, Resulting Numbers: [13, 130]
Generated Node #3: [13, 130] from Operation: 50+80=130
Current State: 10:[13, 130], Operations: ['98-18=80', '50+80=130']
Exploring Operation: 130/13=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
68,
5,
34,
72
] | 25 | [
"68-5=63",
"72-34=38",
"63-38=25"
] | Current State: 25:[68, 5, 34, 72], Operations: []
Exploring Operation: 68-5=63, Resulting Numbers: [34, 72, 63]
Generated Node #2: [34, 72, 63] from Operation: 68-5=63
Current State: 25:[34, 72, 63], Operations: ['68-5=63']
Exploring Operation: 72-34=38, Resulting Numbers: [63, 38]
Generated Node #3: [63, 38] from Operation: 72-34=38
Current State: 25:[63, 38], Operations: ['68-5=63', '72-34=38']
Exploring Operation: 63-38=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
88,
60,
71,
61
] | 69 | [
"71-60=11",
"88/11=8",
"61+8=69"
] | Current State: 69:[88, 60, 71, 61], Operations: []
Exploring Operation: 71-60=11, Resulting Numbers: [88, 61, 11]
Generated Node #2: [88, 61, 11] from Operation: 71-60=11
Current State: 69:[88, 61, 11], Operations: ['71-60=11']
Exploring Operation: 88/11=8, Resulting Numbers: [61, 8]
Generated Node #3: [61, 8] from Operation: 88/11=8
Current State: 69:[61, 8], Operations: ['71-60=11', '88/11=8']
Exploring Operation: 61+8=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
40,
82,
4,
9
] | 81 | [
"40/4=10",
"82+9=91",
"91-10=81"
] | Current State: 81:[40, 82, 4, 9], Operations: []
Exploring Operation: 40/4=10, Resulting Numbers: [82, 9, 10]
Generated Node #2: [82, 9, 10] from Operation: 40/4=10
Current State: 81:[82, 9, 10], Operations: ['40/4=10']
Exploring Operation: 82+9=91, Resulting Numbers: [10, 91]
Generated Node #3: [10, 91] from Operation: 82+9=91
Current State: 81:[10, 91], Operations: ['40/4=10', '82+9=91']
Exploring Operation: 91-10=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
49,
81,
40,
89
] | 71 | [
"40*89=3560",
"3560-81=3479",
"3479/49=71"
] | Current State: 71:[49, 81, 40, 89], Operations: []
Exploring Operation: 40*89=3560, Resulting Numbers: [49, 81, 3560]
Generated Node #2: [49, 81, 3560] from Operation: 40*89=3560
Current State: 71:[49, 81, 3560], Operations: ['40*89=3560']
Exploring Operation: 3560-81=3479, Resulting Numbers: [49, 3479]
Generated Node #3: [49, 3479] from Operation: 3560-81=3479
Current State: 71:[49, 3479], Operations: ['40*89=3560', '3560-81=3479']
Exploring Operation: 3479/49=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
41,
3,
46,
87
] | 82 | [
"41*3=123",
"87-46=41",
"123-41=82"
] | Current State: 82:[41, 3, 46, 87], Operations: []
Exploring Operation: 41*3=123, Resulting Numbers: [46, 87, 123]
Generated Node #2: [46, 87, 123] from Operation: 41*3=123
Current State: 82:[46, 87, 123], Operations: ['41*3=123']
Exploring Operation: 87-46=41, Resulting Numbers: [123, 41]
Generated Node #3: [123, 41] from Operation: 87-46=41
Current State: 82:[123, 41], Operations: ['41*3=123', '87-46=41']
Exploring Operation: 123-41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
33,
17,
8,
40
] | 64 | [
"33-17=16",
"8+40=48",
"16+48=64"
] | Current State: 64:[33, 17, 8, 40], Operations: []
Exploring Operation: 33-17=16, Resulting Numbers: [8, 40, 16]
Generated Node #2: [8, 40, 16] from Operation: 33-17=16
Current State: 64:[8, 40, 16], Operations: ['33-17=16']
Exploring Operation: 8+40=48, Resulting Numbers: [16, 48]
Generated Node #3: [16, 48] from Operation: 8+40=48
Current State: 64:[16, 48], Operations: ['33-17=16', '8+40=48']
Exploring Operation: 16+48=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
75,
60,
85,
2
] | 34 | [
"75*2=150",
"60*85=5100",
"5100/150=34"
] | Current State: 34:[75, 60, 85, 2], Operations: []
Exploring Operation: 75*2=150, Resulting Numbers: [60, 85, 150]
Generated Node #2: [60, 85, 150] from Operation: 75*2=150
Current State: 34:[60, 85, 150], Operations: ['75*2=150']
Exploring Operation: 60*85=5100, Resulting Numbers: [150, 5100]
Generated Node #3: [150, 5100] from Operation: 60*85=5100
Current State: 34:[150, 5100], Operations: ['75*2=150', '60*85=5100']
Exploring Operation: 5100/150=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
35,
43,
27,
7
] | 14 | [
"35/7=5",
"43+27=70",
"70/5=14"
] | Current State: 14:[35, 43, 27, 7], Operations: []
Exploring Operation: 35/7=5, Resulting Numbers: [43, 27, 5]
Generated Node #2: [43, 27, 5] from Operation: 35/7=5
Current State: 14:[43, 27, 5], Operations: ['35/7=5']
Exploring Operation: 43+27=70, Resulting Numbers: [5, 70]
Generated Node #3: [5, 70] from Operation: 43+27=70
Current State: 14:[5, 70], Operations: ['35/7=5', '43+27=70']
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
2,
56,
23,
2
] | 33 | [
"2+56=58",
"23+2=25",
"58-25=33"
] | Current State: 33:[2, 56, 23, 2], Operations: []
Exploring Operation: 2+56=58, Resulting Numbers: [23, 58]
Generated Node #2: [23, 58] from Operation: 2+56=58
Current State: 33:[23, 58], Operations: ['2+56=58']
Exploring Operation: 23+2=25, Resulting Numbers: [58, 25]
Generated Node #3: [58, 25] from Operation: 23+2=25
Current State: 33:[58, 25], Operations: ['2+56=58', '23+2=25']
Exploring Operation: 58-25=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
78,
76,
5,
13
] | 76 | [
"78/13=6",
"6-5=1",
"76*1=76"
] | Current State: 76:[78, 76, 5, 13], Operations: []
Exploring Operation: 78/13=6, Resulting Numbers: [76, 5, 6]
Generated Node #2: [76, 5, 6] from Operation: 78/13=6
Current State: 76:[76, 5, 6], Operations: ['78/13=6']
Exploring Operation: 6-5=1, Resulting Numbers: [76, 1]
Generated Node #3: [76, 1] from Operation: 6-5=1
Current State: 76:[76, 1], Operations: ['78/13=6', '6-5=1']
Exploring Operation: 76*1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
10,
10,
59,
18
] | 41 | [
"10-10=0",
"59-18=41",
"0+41=41"
] | Current State: 41:[10, 10, 59, 18], Operations: []
Exploring Operation: 10-10=0, Resulting Numbers: [59, 18, 0]
Generated Node #2: [59, 18, 0] from Operation: 10-10=0
Current State: 41:[59, 18, 0], Operations: ['10-10=0']
Exploring Operation: 59-18=41, Resulting Numbers: [0, 41]
Generated Node #3: [0, 41] from Operation: 59-18=41
Current State: 41:[0, 41], Operations: ['10-10=0', '59-18=41']
Exploring Operation: 0+41=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
41,
20,
63,
76
] | 48 | [
"41+20=61",
"76-63=13",
"61-13=48"
] | Current State: 48:[41, 20, 63, 76], Operations: []
Exploring Operation: 41+20=61, Resulting Numbers: [63, 76, 61]
Generated Node #2: [63, 76, 61] from Operation: 41+20=61
Current State: 48:[63, 76, 61], Operations: ['41+20=61']
Exploring Operation: 76-63=13, Resulting Numbers: [61, 13]
Generated Node #3: [61, 13] from Operation: 76-63=13
Current State: 48:[61, 13], Operations: ['41+20=61', '76-63=13']
Exploring Operation: 61-13=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
16,
25,
84,
50
] | 98 | [
"16+84=100",
"50/25=2",
"100-2=98"
] | Current State: 98:[16, 25, 84, 50], Operations: []
Exploring Operation: 16+84=100, Resulting Numbers: [25, 50, 100]
Generated Node #2: [25, 50, 100] from Operation: 16+84=100
Current State: 98:[25, 50, 100], Operations: ['16+84=100']
Exploring Operation: 50/25=2, Resulting Numbers: [100, 2]
Generated Node #3: [100, 2] from Operation: 50/25=2
Current State: 98:[100, 2], Operations: ['16+84=100', '50/25=2']
Exploring Operation: 100-2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
49,
15,
86,
37
] | 59 | [
"49+15=64",
"86+37=123",
"123-64=59"
] | Current State: 59:[49, 15, 86, 37], Operations: []
Exploring Operation: 49+15=64, Resulting Numbers: [86, 37, 64]
Generated Node #2: [86, 37, 64] from Operation: 49+15=64
Current State: 59:[86, 37, 64], Operations: ['49+15=64']
Exploring Operation: 86+37=123, Resulting Numbers: [64, 123]
Generated Node #3: [64, 123] from Operation: 86+37=123
Current State: 59:[64, 123], Operations: ['49+15=64', '86+37=123']
Exploring Operation: 123-64=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
87,
87,
38,
53
] | 91 | [
"87-87=0",
"38+53=91",
"0+91=91"
] | Current State: 91:[87, 87, 38, 53], Operations: []
Exploring Operation: 87-87=0, Resulting Numbers: [38, 53, 0]
Generated Node #2: [38, 53, 0] from Operation: 87-87=0
Current State: 91:[38, 53, 0], Operations: ['87-87=0']
Exploring Operation: 38+53=91, Resulting Numbers: [0, 91]
Generated Node #3: [0, 91] from Operation: 38+53=91
Current State: 91:[0, 91], Operations: ['87-87=0', '38+53=91']
Exploring Operation: 0+91=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
20,
75,
42,
5
] | 61 | [
"20+75=95",
"95/5=19",
"42+19=61"
] | Current State: 61:[20, 75, 42, 5], Operations: []
Exploring Operation: 20+75=95, Resulting Numbers: [42, 5, 95]
Generated Node #2: [42, 5, 95] from Operation: 20+75=95
Current State: 61:[42, 5, 95], Operations: ['20+75=95']
Exploring Operation: 95/5=19, Resulting Numbers: [42, 19]
Generated Node #3: [42, 19] from Operation: 95/5=19
Current State: 61:[42, 19], Operations: ['20+75=95', '95/5=19']
Exploring Operation: 42+19=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
68,
31,
67,
4
] | 34 | [
"68-31=37",
"67+4=71",
"71-37=34"
] | Current State: 34:[68, 31, 67, 4], Operations: []
Exploring Operation: 68-31=37, Resulting Numbers: [67, 4, 37]
Generated Node #2: [67, 4, 37] from Operation: 68-31=37
Current State: 34:[67, 4, 37], Operations: ['68-31=37']
Exploring Operation: 67+4=71, Resulting Numbers: [37, 71]
Generated Node #3: [37, 71] from Operation: 67+4=71
Current State: 34:[37, 71], Operations: ['68-31=37', '67+4=71']
Exploring Operation: 71-37=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
94,
93,
30,
21
] | 91 | [
"93-30=63",
"63/21=3",
"94-3=91"
] | Current State: 91:[94, 93, 30, 21], Operations: []
Exploring Operation: 93-30=63, Resulting Numbers: [94, 21, 63]
Generated Node #2: [94, 21, 63] from Operation: 93-30=63
Current State: 91:[94, 21, 63], Operations: ['93-30=63']
Exploring Operation: 63/21=3, Resulting Numbers: [94, 3]
Generated Node #3: [94, 3] from Operation: 63/21=3
Current State: 91:[94, 3], Operations: ['93-30=63', '63/21=3']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
60,
52,
79,
67
] | 83 | [
"67-52=15",
"60/15=4",
"79+4=83"
] | Current State: 83:[60, 52, 79, 67], Operations: []
Exploring Operation: 67-52=15, Resulting Numbers: [60, 79, 15]
Generated Node #2: [60, 79, 15] from Operation: 67-52=15
Current State: 83:[60, 79, 15], Operations: ['67-52=15']
Exploring Operation: 60/15=4, Resulting Numbers: [79, 4]
Generated Node #3: [79, 4] from Operation: 60/15=4
Current State: 83:[79, 4], Operations: ['67-52=15', '60/15=4']
Exploring Operation: 79+4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
90,
99,
63,
33
] | 96 | [
"63-33=30",
"90/30=3",
"99-3=96"
] | Current State: 96:[90, 99, 63, 33], Operations: []
Exploring Operation: 63-33=30, Resulting Numbers: [90, 99, 30]
Generated Node #2: [90, 99, 30] from Operation: 63-33=30
Current State: 96:[90, 99, 30], Operations: ['63-33=30']
Exploring Operation: 90/30=3, Resulting Numbers: [99, 3]
Generated Node #3: [99, 3] from Operation: 90/30=3
Current State: 96:[99, 3], Operations: ['63-33=30', '90/30=3']
Exploring Operation: 99-3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
59,
27,
28,
90
] | 30 | [
"59-27=32",
"90-28=62",
"62-32=30"
] | Current State: 30:[59, 27, 28, 90], Operations: []
Exploring Operation: 59-27=32, Resulting Numbers: [28, 90, 32]
Generated Node #2: [28, 90, 32] from Operation: 59-27=32
Current State: 30:[28, 90, 32], Operations: ['59-27=32']
Exploring Operation: 90-28=62, Resulting Numbers: [32, 62]
Generated Node #3: [32, 62] from Operation: 90-28=62
Current State: 30:[32, 62], Operations: ['59-27=32', '90-28=62']
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
46,
58,
81,
26
] | 49 | [
"46+58=104",
"81-26=55",
"104-55=49"
] | Current State: 49:[46, 58, 81, 26], Operations: []
Exploring Operation: 46+58=104, Resulting Numbers: [81, 26, 104]
Generated Node #2: [81, 26, 104] from Operation: 46+58=104
Current State: 49:[81, 26, 104], Operations: ['46+58=104']
Exploring Operation: 81-26=55, Resulting Numbers: [104, 55]
Generated Node #3: [104, 55] from Operation: 81-26=55
Current State: 49:[104, 55], Operations: ['46+58=104', '81-26=55']
Exploring Operation: 104-55=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
5,
6,
20,
45
] | 49 | [
"5*20=100",
"6+45=51",
"100-51=49"
] | Current State: 49:[5, 6, 20, 45], Operations: []
Exploring Operation: 5*20=100, Resulting Numbers: [6, 45, 100]
Generated Node #2: [6, 45, 100] from Operation: 5*20=100
Current State: 49:[6, 45, 100], Operations: ['5*20=100']
Exploring Operation: 6+45=51, Resulting Numbers: [100, 51]
Generated Node #3: [100, 51] from Operation: 6+45=51
Current State: 49:[100, 51], Operations: ['5*20=100', '6+45=51']
Exploring Operation: 100-51=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
22,
56,
33,
79
] | 44 | [
"33+79=112",
"22*112=2464",
"2464/56=44"
] | Current State: 44:[22, 56, 33, 79], Operations: []
Exploring Operation: 33+79=112, Resulting Numbers: [22, 56, 112]
Generated Node #2: [22, 56, 112] from Operation: 33+79=112
Current State: 44:[22, 56, 112], Operations: ['33+79=112']
Exploring Operation: 22*112=2464, Resulting Numbers: [56, 2464]
Generated Node #3: [56, 2464] from Operation: 22*112=2464
Current State: 44:[56, 2464], Operations: ['33+79=112', '22*112=2464']
Exploring Operation: 2464/56=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
9,
12,
14,
99
] | 57 | [
"12-9=3",
"14*3=42",
"99-42=57"
] | Current State: 57:[9, 12, 14, 99], Operations: []
Exploring Operation: 12-9=3, Resulting Numbers: [14, 99, 3]
Generated Node #2: [14, 99, 3] from Operation: 12-9=3
Current State: 57:[14, 99, 3], Operations: ['12-9=3']
Exploring Operation: 14*3=42, Resulting Numbers: [99, 42]
Generated Node #3: [99, 42] from Operation: 14*3=42
Current State: 57:[99, 42], Operations: ['12-9=3', '14*3=42']
Exploring Operation: 99-42=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
64,
81,
54,
57
] | 90 | [
"64*81=5184",
"5184-54=5130",
"5130/57=90"
] | Current State: 90:[64, 81, 54, 57], Operations: []
Exploring Operation: 64*81=5184, Resulting Numbers: [54, 57, 5184]
Generated Node #2: [54, 57, 5184] from Operation: 64*81=5184
Current State: 90:[54, 57, 5184], Operations: ['64*81=5184']
Exploring Operation: 5184-54=5130, Resulting Numbers: [57, 5130]
Generated Node #3: [57, 5130] from Operation: 5184-54=5130
Current State: 90:[57, 5130], Operations: ['64*81=5184', '5184-54=5130']
Exploring Operation: 5130/57=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
31,
2,
56,
83
] | 54 | [
"56-31=25",
"83+25=108",
"108/2=54"
] | Current State: 54:[31, 2, 56, 83], Operations: []
Exploring Operation: 56-31=25, Resulting Numbers: [2, 83, 25]
Generated Node #2: [2, 83, 25] from Operation: 56-31=25
Current State: 54:[2, 83, 25], Operations: ['56-31=25']
Exploring Operation: 83+25=108, Resulting Numbers: [2, 108]
Generated Node #3: [2, 108] from Operation: 83+25=108
Current State: 54:[2, 108], Operations: ['56-31=25', '83+25=108']
Exploring Operation: 108/2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
7,
77,
81,
50
] | 61 | [
"77-7=70",
"81+50=131",
"131-70=61"
] | Current State: 61:[7, 77, 81, 50], Operations: []
Exploring Operation: 77-7=70, Resulting Numbers: [81, 50, 70]
Generated Node #2: [81, 50, 70] from Operation: 77-7=70
Current State: 61:[81, 50, 70], Operations: ['77-7=70']
Exploring Operation: 81+50=131, Resulting Numbers: [70, 131]
Generated Node #3: [70, 131] from Operation: 81+50=131
Current State: 61:[70, 131], Operations: ['77-7=70', '81+50=131']
Exploring Operation: 131-70=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
67,
78,
69,
64
] | 71 | [
"69-67=2",
"78+64=142",
"142/2=71"
] | Current State: 71:[67, 78, 69, 64], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [78, 64, 2]
Generated Node #2: [78, 64, 2] from Operation: 69-67=2
Current State: 71:[78, 64, 2], Operations: ['69-67=2']
Exploring Operation: 78+64=142, Resulting Numbers: [2, 142]
Generated Node #3: [2, 142] from Operation: 78+64=142
Current State: 71:[2, 142], Operations: ['69-67=2', '78+64=142']
Exploring Operation: 142/2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
23,
64,
2,
54
] | 93 | [
"64-23=41",
"54-2=52",
"41+52=93"
] | Current State: 93:[23, 64, 2, 54], Operations: []
Exploring Operation: 64-23=41, Resulting Numbers: [2, 54, 41]
Generated Node #2: [2, 54, 41] from Operation: 64-23=41
Current State: 93:[2, 54, 41], Operations: ['64-23=41']
Exploring Operation: 54-2=52, Resulting Numbers: [41, 52]
Generated Node #3: [41, 52] from Operation: 54-2=52
Current State: 93:[41, 52], Operations: ['64-23=41', '54-2=52']
Exploring Operation: 41+52=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
93,
75,
54,
37
] | 34 | [
"93-75=18",
"54/18=3",
"37-3=34"
] | Current State: 34:[93, 75, 54, 37], Operations: []
Exploring Operation: 93-75=18, Resulting Numbers: [54, 37, 18]
Generated Node #2: [54, 37, 18] from Operation: 93-75=18
Current State: 34:[54, 37, 18], Operations: ['93-75=18']
Exploring Operation: 54/18=3, Resulting Numbers: [37, 3]
Generated Node #3: [37, 3] from Operation: 54/18=3
Current State: 34:[37, 3], Operations: ['93-75=18', '54/18=3']
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
6,
39,
51,
57
] | 21 | [
"51+57=108",
"108/6=18",
"39-18=21"
] | Current State: 21:[6, 39, 51, 57], Operations: []
Exploring Operation: 51+57=108, Resulting Numbers: [6, 39, 108]
Generated Node #2: [6, 39, 108] from Operation: 51+57=108
Current State: 21:[6, 39, 108], Operations: ['51+57=108']
Exploring Operation: 108/6=18, Resulting Numbers: [39, 18]
Generated Node #3: [39, 18] from Operation: 108/6=18
Current State: 21:[39, 18], Operations: ['51+57=108', '108/6=18']
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
82,
88,
30,
53
] | 87 | [
"82+88=170",
"30+53=83",
"170-83=87"
] | Current State: 87:[82, 88, 30, 53], Operations: []
Exploring Operation: 82+88=170, Resulting Numbers: [30, 53, 170]
Generated Node #2: [30, 53, 170] from Operation: 82+88=170
Current State: 87:[30, 53, 170], Operations: ['82+88=170']
Exploring Operation: 30+53=83, Resulting Numbers: [170, 83]
Generated Node #3: [170, 83] from Operation: 30+53=83
Current State: 87:[170, 83], Operations: ['82+88=170', '30+53=83']
Exploring Operation: 170-83=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
79,
40,
85,
74
] | 28 | [
"79-40=39",
"85-74=11",
"39-11=28"
] | Current State: 28:[79, 40, 85, 74], Operations: []
Exploring Operation: 79-40=39, Resulting Numbers: [85, 74, 39]
Generated Node #2: [85, 74, 39] from Operation: 79-40=39
Current State: 28:[85, 74, 39], Operations: ['79-40=39']
Exploring Operation: 85-74=11, Resulting Numbers: [39, 11]
Generated Node #3: [39, 11] from Operation: 85-74=11
Current State: 28:[39, 11], Operations: ['79-40=39', '85-74=11']
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
26,
91,
2,
40
] | 15 | [
"91-26=65",
"2*40=80",
"80-65=15"
] | Current State: 15:[26, 91, 2, 40], Operations: []
Exploring Operation: 91-26=65, Resulting Numbers: [2, 40, 65]
Generated Node #2: [2, 40, 65] from Operation: 91-26=65
Current State: 15:[2, 40, 65], Operations: ['91-26=65']
Exploring Operation: 2*40=80, Resulting Numbers: [65, 80]
Generated Node #3: [65, 80] from Operation: 2*40=80
Current State: 15:[65, 80], Operations: ['91-26=65', '2*40=80']
Exploring Operation: 80-65=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
77,
89,
36,
36
] | 33 | [
"89-77=12",
"36/12=3",
"36-3=33"
] | Current State: 33:[77, 89, 36, 36], Operations: []
Exploring Operation: 89-77=12, Resulting Numbers: [36, 36, 12]
Generated Node #2: [36, 36, 12] from Operation: 89-77=12
Current State: 33:[36, 36, 12], Operations: ['89-77=12']
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,33 equal: Goal Reached
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
43,
9,
44,
52
] | 26 | [
"43-9=34",
"52-44=8",
"34-8=26"
] | Current State: 26:[43, 9, 44, 52], Operations: []
Exploring Operation: 43-9=34, Resulting Numbers: [44, 52, 34]
Generated Node #2: [44, 52, 34] from Operation: 43-9=34
Current State: 26:[44, 52, 34], Operations: ['43-9=34']
Exploring Operation: 52-44=8, Resulting Numbers: [34, 8]
Generated Node #3: [34, 8] from Operation: 52-44=8
Current State: 26:[34, 8], Operations: ['43-9=34', '52-44=8']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
38,
81,
66,
92
] | 93 | [
"38+81=119",
"92-66=26",
"119-26=93"
] | Current State: 93:[38, 81, 66, 92], Operations: []
Exploring Operation: 38+81=119, Resulting Numbers: [66, 92, 119]
Generated Node #2: [66, 92, 119] from Operation: 38+81=119
Current State: 93:[66, 92, 119], Operations: ['38+81=119']
Exploring Operation: 92-66=26, Resulting Numbers: [119, 26]
Generated Node #3: [119, 26] from Operation: 92-66=26
Current State: 93:[119, 26], Operations: ['38+81=119', '92-66=26']
Exploring Operation: 119-26=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
15,
52,
50,
75
] | 30 | [
"75-15=60",
"52-50=2",
"60/2=30"
] | Current State: 30:[15, 52, 50, 75], Operations: []
Exploring Operation: 75-15=60, Resulting Numbers: [52, 50, 60]
Generated Node #2: [52, 50, 60] from Operation: 75-15=60
Current State: 30:[52, 50, 60], Operations: ['75-15=60']
Exploring Operation: 52-50=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 52-50=2
Current State: 30:[60, 2], Operations: ['75-15=60', '52-50=2']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
98,
79,
9,
35
] | 45 | [
"98-79=19",
"35-9=26",
"19+26=45"
] | Current State: 45:[98, 79, 9, 35], Operations: []
Exploring Operation: 98-79=19, Resulting Numbers: [9, 35, 19]
Generated Node #2: [9, 35, 19] from Operation: 98-79=19
Current State: 45:[9, 35, 19], Operations: ['98-79=19']
Exploring Operation: 35-9=26, Resulting Numbers: [19, 26]
Generated Node #3: [19, 26] from Operation: 35-9=26
Current State: 45:[19, 26], Operations: ['98-79=19', '35-9=26']
Exploring Operation: 19+26=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
57,
52,
99,
7
] | 97 | [
"57-52=5",
"99-7=92",
"5+92=97"
] | Current State: 97:[57, 52, 99, 7], Operations: []
Exploring Operation: 57-52=5, Resulting Numbers: [99, 7, 5]
Generated Node #2: [99, 7, 5] from Operation: 57-52=5
Current State: 97:[99, 7, 5], Operations: ['57-52=5']
Exploring Operation: 99-7=92, Resulting Numbers: [5, 92]
Generated Node #3: [5, 92] from Operation: 99-7=92
Current State: 97:[5, 92], Operations: ['57-52=5', '99-7=92']
Exploring Operation: 5+92=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
22,
9,
45,
17
] | 15 | [
"22-9=13",
"45-17=28",
"28-13=15"
] | Current State: 15:[22, 9, 45, 17], Operations: []
Exploring Operation: 22-9=13, Resulting Numbers: [45, 17, 13]
Generated Node #2: [45, 17, 13] from Operation: 22-9=13
Current State: 15:[45, 17, 13], Operations: ['22-9=13']
Exploring Operation: 45-17=28, Resulting Numbers: [13, 28]
Generated Node #3: [13, 28] from Operation: 45-17=28
Current State: 15:[13, 28], Operations: ['22-9=13', '45-17=28']
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
84,
79,
42,
84
] | 74 | [
"84*79=6636",
"6636/42=158",
"158-84=74"
] | Current State: 74:[84, 79, 42, 84], Operations: []
Exploring Operation: 84*79=6636, Resulting Numbers: [42, 6636]
Generated Node #2: [42, 6636] from Operation: 84*79=6636
Current State: 74:[42, 6636], Operations: ['84*79=6636']
Exploring Operation: 6636/42=158, Resulting Numbers: [158]
158,74 equal: Goal Reached
Exploring Operation: 158-84=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
43,
72,
28,
25
] | 39 | [
"72+28=100",
"100/25=4",
"43-4=39"
] | Current State: 39:[43, 72, 28, 25], Operations: []
Exploring Operation: 72+28=100, Resulting Numbers: [43, 25, 100]
Generated Node #2: [43, 25, 100] from Operation: 72+28=100
Current State: 39:[43, 25, 100], Operations: ['72+28=100']
Exploring Operation: 100/25=4, Resulting Numbers: [43, 4]
Generated Node #3: [43, 4] from Operation: 100/25=4
Current State: 39:[43, 4], Operations: ['72+28=100', '100/25=4']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
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