nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
74,
8,
72,
89
] | 99 | [
"74+8=82",
"89-72=17",
"82+17=99"
] | Current State: 99:[74, 8, 72, 89], Operations: []
Exploring Operation: 74+8=82, Resulting Numbers: [72, 89, 82]
Generated Node #2: [72, 89, 82] from Operation: 74+8=82
Current State: 99:[72, 89, 82], Operations: ['74+8=82']
Exploring Operation: 89-72=17, Resulting Numbers: [82, 17]
Generated Node #3: [82, 17] from Operation: 89-72=17
Current State: 99:[82, 17], Operations: ['74+8=82', '89-72=17']
Exploring Operation: 82+17=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
35,
15,
5,
2
] | 40 | [
"35+15=50",
"5*2=10",
"50-10=40"
] | Current State: 40:[35, 15, 5, 2], Operations: []
Exploring Operation: 35+15=50, Resulting Numbers: [5, 2, 50]
Generated Node #2: [5, 2, 50] from Operation: 35+15=50
Current State: 40:[5, 2, 50], Operations: ['35+15=50']
Exploring Operation: 5*2=10, Resulting Numbers: [50, 10]
Generated Node #3: [50, 10] from Operation: 5*2=10
Current State: 40:[50, 10], Operations: ['35+15=50', '5*2=10']
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
23,
5,
22,
38
] | 44 | [
"23+5=28",
"38-22=16",
"28+16=44"
] | Current State: 44:[23, 5, 22, 38], Operations: []
Exploring Operation: 23+5=28, Resulting Numbers: [22, 38, 28]
Generated Node #2: [22, 38, 28] from Operation: 23+5=28
Current State: 44:[22, 38, 28], Operations: ['23+5=28']
Exploring Operation: 38-22=16, Resulting Numbers: [28, 16]
Generated Node #3: [28, 16] from Operation: 38-22=16
Current State: 44:[28, 16], Operations: ['23+5=28', '38-22=16']
Exploring Operation: 28+16=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
31,
2,
25,
64
] | 52 | [
"31-25=6",
"2*6=12",
"64-12=52"
] | Current State: 52:[31, 2, 25, 64], Operations: []
Exploring Operation: 31-25=6, Resulting Numbers: [2, 64, 6]
Generated Node #2: [2, 64, 6] from Operation: 31-25=6
Current State: 52:[2, 64, 6], Operations: ['31-25=6']
Exploring Operation: 2*6=12, Resulting Numbers: [64, 12]
Generated Node #3: [64, 12] from Operation: 2*6=12
Current State: 52:[64, 12], Operations: ['31-25=6', '2*6=12']
Exploring Operation: 64-12=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
39,
53,
20,
22
] | 16 | [
"53-39=14",
"22-20=2",
"14+2=16"
] | Current State: 16:[39, 53, 20, 22], Operations: []
Exploring Operation: 53-39=14, Resulting Numbers: [20, 22, 14]
Generated Node #2: [20, 22, 14] from Operation: 53-39=14
Current State: 16:[20, 22, 14], Operations: ['53-39=14']
Exploring Operation: 22-20=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 22-20=2
Current State: 16:[14, 2], Operations: ['53-39=14', '22-20=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
20,
41,
80,
38
] | 57 | [
"20+41=61",
"80+38=118",
"118-61=57"
] | Current State: 57:[20, 41, 80, 38], Operations: []
Exploring Operation: 20+41=61, Resulting Numbers: [80, 38, 61]
Generated Node #2: [80, 38, 61] from Operation: 20+41=61
Current State: 57:[80, 38, 61], Operations: ['20+41=61']
Exploring Operation: 80+38=118, Resulting Numbers: [61, 118]
Generated Node #3: [61, 118] from Operation: 80+38=118
Current State: 57:[61, 118], Operations: ['20+41=61', '80+38=118']
Exploring Operation: 118-61=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
25,
42,
98,
23
] | 54 | [
"25+42=67",
"98+23=121",
"121-67=54"
] | Current State: 54:[25, 42, 98, 23], Operations: []
Exploring Operation: 25+42=67, Resulting Numbers: [98, 23, 67]
Generated Node #2: [98, 23, 67] from Operation: 25+42=67
Current State: 54:[98, 23, 67], Operations: ['25+42=67']
Exploring Operation: 98+23=121, Resulting Numbers: [67, 121]
Generated Node #3: [67, 121] from Operation: 98+23=121
Current State: 54:[67, 121], Operations: ['25+42=67', '98+23=121']
Exploring Operation: 121-67=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
53,
73,
37,
36
] | 53 | [
"53+73=126",
"37+36=73",
"126-73=53"
] | Current State: 53:[53, 73, 37, 36], Operations: []
Exploring Operation: 53+73=126, Resulting Numbers: [37, 36, 126]
Generated Node #2: [37, 36, 126] from Operation: 53+73=126
Current State: 53:[37, 36, 126], Operations: ['53+73=126']
Exploring Operation: 37+36=73, Resulting Numbers: [126, 73]
Generated Node #3: [126, 73] from Operation: 37+36=73
Current State: 53:[126, 73], Operations: ['53+73=126', '37+36=73']
Exploring Operation: 126-73=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
69,
27,
29,
87
] | 51 | [
"29-27=2",
"69*2=138",
"138-87=51"
] | Current State: 51:[69, 27, 29, 87], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [69, 87, 2]
Generated Node #2: [69, 87, 2] from Operation: 29-27=2
Current State: 51:[69, 87, 2], Operations: ['29-27=2']
Exploring Operation: 69*2=138, Resulting Numbers: [87, 138]
Generated Node #3: [87, 138] from Operation: 69*2=138
Current State: 51:[87, 138], Operations: ['29-27=2', '69*2=138']
Exploring Operation: 138-87=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
80,
13,
73,
80
] | 87 | [
"80/80=1",
"13+73=86",
"1+86=87"
] | Current State: 87:[80, 13, 73, 80], Operations: []
Exploring Operation: 80/80=1, Resulting Numbers: [13, 73, 1]
Generated Node #2: [13, 73, 1] from Operation: 80/80=1
Current State: 87:[13, 73, 1], Operations: ['80/80=1']
Exploring Operation: 13+73=86, Resulting Numbers: [1, 86]
Generated Node #3: [1, 86] from Operation: 13+73=86
Current State: 87:[1, 86], Operations: ['80/80=1', '13+73=86']
Exploring Operation: 1+86=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
94,
34,
83,
98
] | 53 | [
"94+34=128",
"83+98=181",
"181-128=53"
] | Current State: 53:[94, 34, 83, 98], Operations: []
Exploring Operation: 94+34=128, Resulting Numbers: [83, 98, 128]
Generated Node #2: [83, 98, 128] from Operation: 94+34=128
Current State: 53:[83, 98, 128], Operations: ['94+34=128']
Exploring Operation: 83+98=181, Resulting Numbers: [128, 181]
Generated Node #3: [128, 181] from Operation: 83+98=181
Current State: 53:[128, 181], Operations: ['94+34=128', '83+98=181']
Exploring Operation: 181-128=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
44,
89,
12,
2
] | 59 | [
"89-44=45",
"12+2=14",
"45+14=59"
] | Current State: 59:[44, 89, 12, 2], Operations: []
Exploring Operation: 89-44=45, Resulting Numbers: [12, 2, 45]
Generated Node #2: [12, 2, 45] from Operation: 89-44=45
Current State: 59:[12, 2, 45], Operations: ['89-44=45']
Exploring Operation: 12+2=14, Resulting Numbers: [45, 14]
Generated Node #3: [45, 14] from Operation: 12+2=14
Current State: 59:[45, 14], Operations: ['89-44=45', '12+2=14']
Exploring Operation: 45+14=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
30,
87,
27,
93
] | 91 | [
"87-27=60",
"60/30=2",
"93-2=91"
] | Current State: 91:[30, 87, 27, 93], Operations: []
Exploring Operation: 87-27=60, Resulting Numbers: [30, 93, 60]
Generated Node #2: [30, 93, 60] from Operation: 87-27=60
Current State: 91:[30, 93, 60], Operations: ['87-27=60']
Exploring Operation: 60/30=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 60/30=2
Current State: 91:[93, 2], Operations: ['87-27=60', '60/30=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
31,
41,
30,
21
] | 28 | [
"41+21=62",
"62/31=2",
"30-2=28"
] | Current State: 28:[31, 41, 30, 21], Operations: []
Exploring Operation: 41+21=62, Resulting Numbers: [31, 30, 62]
Generated Node #2: [31, 30, 62] from Operation: 41+21=62
Current State: 28:[31, 30, 62], Operations: ['41+21=62']
Exploring Operation: 62/31=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 62/31=2
Current State: 28:[30, 2], Operations: ['41+21=62', '62/31=2']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
58,
57,
62,
5
] | 66 | [
"58-57=1",
"62+5=67",
"67-1=66"
] | Current State: 66:[58, 57, 62, 5], Operations: []
Exploring Operation: 58-57=1, Resulting Numbers: [62, 5, 1]
Generated Node #2: [62, 5, 1] from Operation: 58-57=1
Current State: 66:[62, 5, 1], Operations: ['58-57=1']
Exploring Operation: 62+5=67, Resulting Numbers: [1, 67]
Generated Node #3: [1, 67] from Operation: 62+5=67
Current State: 66:[1, 67], Operations: ['58-57=1', '62+5=67']
Exploring Operation: 67-1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
95,
89,
95,
92
] | 92 | [
"95-95=0",
"89*0=0",
"92+0=92"
] | Current State: 92:[95, 89, 95, 92], Operations: []
Exploring Operation: 95-95=0, Resulting Numbers: [89, 92, 0]
Generated Node #2: [89, 92, 0] from Operation: 95-95=0
Current State: 92:[89, 92, 0], Operations: ['95-95=0']
Exploring Operation: 89*0=0, Resulting Numbers: [92, 0]
Generated Node #3: [92, 0] from Operation: 89*0=0
Current State: 92:[92, 0], Operations: ['95-95=0', '89*0=0']
Exploring Operation: 92+0=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
54,
49,
3,
47
] | 20 | [
"54/3=18",
"49-47=2",
"18+2=20"
] | Current State: 20:[54, 49, 3, 47], Operations: []
Exploring Operation: 54/3=18, Resulting Numbers: [49, 47, 18]
Generated Node #2: [49, 47, 18] from Operation: 54/3=18
Current State: 20:[49, 47, 18], Operations: ['54/3=18']
Exploring Operation: 49-47=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 49-47=2
Current State: 20:[18, 2], Operations: ['54/3=18', '49-47=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
63,
4,
44,
4
] | 60 | [
"63-4=59",
"59-44=15",
"4*15=60"
] | Current State: 60:[63, 4, 44, 4], Operations: []
Exploring Operation: 63-4=59, Resulting Numbers: [44, 59]
Generated Node #2: [44, 59] from Operation: 63-4=59
Current State: 60:[44, 59], Operations: ['63-4=59']
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,60 equal: Goal Reached
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
14,
37,
17,
95
] | 55 | [
"37-14=23",
"95-17=78",
"78-23=55"
] | Current State: 55:[14, 37, 17, 95], Operations: []
Exploring Operation: 37-14=23, Resulting Numbers: [17, 95, 23]
Generated Node #2: [17, 95, 23] from Operation: 37-14=23
Current State: 55:[17, 95, 23], Operations: ['37-14=23']
Exploring Operation: 95-17=78, Resulting Numbers: [23, 78]
Generated Node #3: [23, 78] from Operation: 95-17=78
Current State: 55:[23, 78], Operations: ['37-14=23', '95-17=78']
Exploring Operation: 78-23=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
80,
84,
65,
9
] | 60 | [
"84-80=4",
"65-9=56",
"4+56=60"
] | Current State: 60:[80, 84, 65, 9], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [65, 9, 4]
Generated Node #2: [65, 9, 4] from Operation: 84-80=4
Current State: 60:[65, 9, 4], Operations: ['84-80=4']
Exploring Operation: 65-9=56, Resulting Numbers: [4, 56]
Generated Node #3: [4, 56] from Operation: 65-9=56
Current State: 60:[4, 56], Operations: ['84-80=4', '65-9=56']
Exploring Operation: 4+56=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
2,
46,
7,
51
] | 21 | [
"2+46=48",
"51-48=3",
"7*3=21"
] | Current State: 21:[2, 46, 7, 51], Operations: []
Exploring Operation: 2+46=48, Resulting Numbers: [7, 51, 48]
Generated Node #2: [7, 51, 48] from Operation: 2+46=48
Current State: 21:[7, 51, 48], Operations: ['2+46=48']
Exploring Operation: 51-48=3, Resulting Numbers: [7, 3]
Generated Node #3: [7, 3] from Operation: 51-48=3
Current State: 21:[7, 3], Operations: ['2+46=48', '51-48=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
59,
21,
71,
49
] | 60 | [
"59-21=38",
"71-49=22",
"38+22=60"
] | Current State: 60:[59, 21, 71, 49], Operations: []
Exploring Operation: 59-21=38, Resulting Numbers: [71, 49, 38]
Generated Node #2: [71, 49, 38] from Operation: 59-21=38
Current State: 60:[71, 49, 38], Operations: ['59-21=38']
Exploring Operation: 71-49=22, Resulting Numbers: [38, 22]
Generated Node #3: [38, 22] from Operation: 71-49=22
Current State: 60:[38, 22], Operations: ['59-21=38', '71-49=22']
Exploring Operation: 38+22=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
13,
72,
13,
67
] | 78 | [
"72-67=5",
"13*5=65",
"13+65=78"
] | Current State: 78:[13, 72, 13, 67], Operations: []
Exploring Operation: 72-67=5, Resulting Numbers: [13, 13, 5]
Generated Node #2: [13, 13, 5] from Operation: 72-67=5
Current State: 78:[13, 13, 5], Operations: ['72-67=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,78 equal: Goal Reached
Exploring Operation: 13+65=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
48,
56,
7,
90
] | 34 | [
"56-48=8",
"7*8=56",
"90-56=34"
] | Current State: 34:[48, 56, 7, 90], Operations: []
Exploring Operation: 56-48=8, Resulting Numbers: [7, 90, 8]
Generated Node #2: [7, 90, 8] from Operation: 56-48=8
Current State: 34:[7, 90, 8], Operations: ['56-48=8']
Exploring Operation: 7*8=56, Resulting Numbers: [90, 56]
Generated Node #3: [90, 56] from Operation: 7*8=56
Current State: 34:[90, 56], Operations: ['56-48=8', '7*8=56']
Exploring Operation: 90-56=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
9,
67,
77,
46
] | 89 | [
"67-9=58",
"77-46=31",
"58+31=89"
] | Current State: 89:[9, 67, 77, 46], Operations: []
Exploring Operation: 67-9=58, Resulting Numbers: [77, 46, 58]
Generated Node #2: [77, 46, 58] from Operation: 67-9=58
Current State: 89:[77, 46, 58], Operations: ['67-9=58']
Exploring Operation: 77-46=31, Resulting Numbers: [58, 31]
Generated Node #3: [58, 31] from Operation: 77-46=31
Current State: 89:[58, 31], Operations: ['67-9=58', '77-46=31']
Exploring Operation: 58+31=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
92,
95,
54,
4
] | 64 | [
"92/4=23",
"95-54=41",
"23+41=64"
] | Current State: 64:[92, 95, 54, 4], Operations: []
Exploring Operation: 92/4=23, Resulting Numbers: [95, 54, 23]
Generated Node #2: [95, 54, 23] from Operation: 92/4=23
Current State: 64:[95, 54, 23], Operations: ['92/4=23']
Exploring Operation: 95-54=41, Resulting Numbers: [23, 41]
Generated Node #3: [23, 41] from Operation: 95-54=41
Current State: 64:[23, 41], Operations: ['92/4=23', '95-54=41']
Exploring Operation: 23+41=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
3,
52,
90,
27
] | 61 | [
"3*27=81",
"52+90=142",
"142-81=61"
] | Current State: 61:[3, 52, 90, 27], Operations: []
Exploring Operation: 3*27=81, Resulting Numbers: [52, 90, 81]
Generated Node #2: [52, 90, 81] from Operation: 3*27=81
Current State: 61:[52, 90, 81], Operations: ['3*27=81']
Exploring Operation: 52+90=142, Resulting Numbers: [81, 142]
Generated Node #3: [81, 142] from Operation: 52+90=142
Current State: 61:[81, 142], Operations: ['3*27=81', '52+90=142']
Exploring Operation: 142-81=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
18,
2,
5,
74
] | 60 | [
"18/2=9",
"74-5=69",
"69-9=60"
] | Current State: 60:[18, 2, 5, 74], Operations: []
Exploring Operation: 18/2=9, Resulting Numbers: [5, 74, 9]
Generated Node #2: [5, 74, 9] from Operation: 18/2=9
Current State: 60:[5, 74, 9], Operations: ['18/2=9']
Exploring Operation: 74-5=69, Resulting Numbers: [9, 69]
Generated Node #3: [9, 69] from Operation: 74-5=69
Current State: 60:[9, 69], Operations: ['18/2=9', '74-5=69']
Exploring Operation: 69-9=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
18,
66,
30,
61
] | 53 | [
"18+66=84",
"61-30=31",
"84-31=53"
] | Current State: 53:[18, 66, 30, 61], Operations: []
Exploring Operation: 18+66=84, Resulting Numbers: [30, 61, 84]
Generated Node #2: [30, 61, 84] from Operation: 18+66=84
Current State: 53:[30, 61, 84], Operations: ['18+66=84']
Exploring Operation: 61-30=31, Resulting Numbers: [84, 31]
Generated Node #3: [84, 31] from Operation: 61-30=31
Current State: 53:[84, 31], Operations: ['18+66=84', '61-30=31']
Exploring Operation: 84-31=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
60,
2,
95,
92
] | 61 | [
"60-2=58",
"95-92=3",
"58+3=61"
] | Current State: 61:[60, 2, 95, 92], Operations: []
Exploring Operation: 60-2=58, Resulting Numbers: [95, 92, 58]
Generated Node #2: [95, 92, 58] from Operation: 60-2=58
Current State: 61:[95, 92, 58], Operations: ['60-2=58']
Exploring Operation: 95-92=3, Resulting Numbers: [58, 3]
Generated Node #3: [58, 3] from Operation: 95-92=3
Current State: 61:[58, 3], Operations: ['60-2=58', '95-92=3']
Exploring Operation: 58+3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
36,
40,
41,
29
] | 21 | [
"41-36=5",
"40/5=8",
"29-8=21"
] | Current State: 21:[36, 40, 41, 29], Operations: []
Exploring Operation: 41-36=5, Resulting Numbers: [40, 29, 5]
Generated Node #2: [40, 29, 5] from Operation: 41-36=5
Current State: 21:[40, 29, 5], Operations: ['41-36=5']
Exploring Operation: 40/5=8, Resulting Numbers: [29, 8]
Generated Node #3: [29, 8] from Operation: 40/5=8
Current State: 21:[29, 8], Operations: ['41-36=5', '40/5=8']
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
30,
74,
25,
66
] | 47 | [
"74-30=44",
"25+66=91",
"91-44=47"
] | Current State: 47:[30, 74, 25, 66], Operations: []
Exploring Operation: 74-30=44, Resulting Numbers: [25, 66, 44]
Generated Node #2: [25, 66, 44] from Operation: 74-30=44
Current State: 47:[25, 66, 44], Operations: ['74-30=44']
Exploring Operation: 25+66=91, Resulting Numbers: [44, 91]
Generated Node #3: [44, 91] from Operation: 25+66=91
Current State: 47:[44, 91], Operations: ['74-30=44', '25+66=91']
Exploring Operation: 91-44=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
36,
22,
36,
3
] | 67 | [
"36/36=1",
"22*3=66",
"1+66=67"
] | Current State: 67:[36, 22, 36, 3], Operations: []
Exploring Operation: 36/36=1, Resulting Numbers: [22, 3, 1]
Generated Node #2: [22, 3, 1] from Operation: 36/36=1
Current State: 67:[22, 3, 1], Operations: ['36/36=1']
Exploring Operation: 22*3=66, Resulting Numbers: [1, 66]
Generated Node #3: [1, 66] from Operation: 22*3=66
Current State: 67:[1, 66], Operations: ['36/36=1', '22*3=66']
Exploring Operation: 1+66=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
62,
9,
12,
73
] | 87 | [
"62*12=744",
"9*73=657",
"744-657=87"
] | Current State: 87:[62, 9, 12, 73], Operations: []
Exploring Operation: 62*12=744, Resulting Numbers: [9, 73, 744]
Generated Node #2: [9, 73, 744] from Operation: 62*12=744
Current State: 87:[9, 73, 744], Operations: ['62*12=744']
Exploring Operation: 9*73=657, Resulting Numbers: [744, 657]
Generated Node #3: [744, 657] from Operation: 9*73=657
Current State: 87:[744, 657], Operations: ['62*12=744', '9*73=657']
Exploring Operation: 744-657=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
50,
58,
48,
67
] | 49 | [
"50-48=2",
"58*2=116",
"116-67=49"
] | Current State: 49:[50, 58, 48, 67], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [58, 67, 2]
Generated Node #2: [58, 67, 2] from Operation: 50-48=2
Current State: 49:[58, 67, 2], Operations: ['50-48=2']
Exploring Operation: 58*2=116, Resulting Numbers: [67, 116]
Generated Node #3: [67, 116] from Operation: 58*2=116
Current State: 49:[67, 116], Operations: ['50-48=2', '58*2=116']
Exploring Operation: 116-67=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
22,
58,
97,
68
] | 85 | [
"22+58=80",
"97+68=165",
"165-80=85"
] | Current State: 85:[22, 58, 97, 68], Operations: []
Exploring Operation: 22+58=80, Resulting Numbers: [97, 68, 80]
Generated Node #2: [97, 68, 80] from Operation: 22+58=80
Current State: 85:[97, 68, 80], Operations: ['22+58=80']
Exploring Operation: 97+68=165, Resulting Numbers: [80, 165]
Generated Node #3: [80, 165] from Operation: 97+68=165
Current State: 85:[80, 165], Operations: ['22+58=80', '97+68=165']
Exploring Operation: 165-80=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
25,
90,
39,
15
] | 89 | [
"90-25=65",
"39-15=24",
"65+24=89"
] | Current State: 89:[25, 90, 39, 15], Operations: []
Exploring Operation: 90-25=65, Resulting Numbers: [39, 15, 65]
Generated Node #2: [39, 15, 65] from Operation: 90-25=65
Current State: 89:[39, 15, 65], Operations: ['90-25=65']
Exploring Operation: 39-15=24, Resulting Numbers: [65, 24]
Generated Node #3: [65, 24] from Operation: 39-15=24
Current State: 89:[65, 24], Operations: ['90-25=65', '39-15=24']
Exploring Operation: 65+24=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
29,
33,
2,
16
] | 30 | [
"29+33=62",
"2*16=32",
"62-32=30"
] | Current State: 30:[29, 33, 2, 16], Operations: []
Exploring Operation: 29+33=62, Resulting Numbers: [2, 16, 62]
Generated Node #2: [2, 16, 62] from Operation: 29+33=62
Current State: 30:[2, 16, 62], Operations: ['29+33=62']
Exploring Operation: 2*16=32, Resulting Numbers: [62, 32]
Generated Node #3: [62, 32] from Operation: 2*16=32
Current State: 30:[62, 32], Operations: ['29+33=62', '2*16=32']
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
93,
32,
7,
14
] | 27 | [
"93+32=125",
"7*14=98",
"125-98=27"
] | Current State: 27:[93, 32, 7, 14], Operations: []
Exploring Operation: 93+32=125, Resulting Numbers: [7, 14, 125]
Generated Node #2: [7, 14, 125] from Operation: 93+32=125
Current State: 27:[7, 14, 125], Operations: ['93+32=125']
Exploring Operation: 7*14=98, Resulting Numbers: [125, 98]
Generated Node #3: [125, 98] from Operation: 7*14=98
Current State: 27:[125, 98], Operations: ['93+32=125', '7*14=98']
Exploring Operation: 125-98=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
56,
55,
91,
47
] | 44 | [
"56-55=1",
"91-47=44",
"1*44=44"
] | Current State: 44:[56, 55, 91, 47], Operations: []
Exploring Operation: 56-55=1, Resulting Numbers: [91, 47, 1]
Generated Node #2: [91, 47, 1] from Operation: 56-55=1
Current State: 44:[91, 47, 1], Operations: ['56-55=1']
Exploring Operation: 91-47=44, Resulting Numbers: [1, 44]
Generated Node #3: [1, 44] from Operation: 91-47=44
Current State: 44:[1, 44], Operations: ['56-55=1', '91-47=44']
Exploring Operation: 1*44=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
38,
28,
80,
4
] | 66 | [
"38-28=10",
"80-4=76",
"76-10=66"
] | Current State: 66:[38, 28, 80, 4], Operations: []
Exploring Operation: 38-28=10, Resulting Numbers: [80, 4, 10]
Generated Node #2: [80, 4, 10] from Operation: 38-28=10
Current State: 66:[80, 4, 10], Operations: ['38-28=10']
Exploring Operation: 80-4=76, Resulting Numbers: [10, 76]
Generated Node #3: [10, 76] from Operation: 80-4=76
Current State: 66:[10, 76], Operations: ['38-28=10', '80-4=76']
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
82,
47,
41,
7
] | 81 | [
"82+47=129",
"41+7=48",
"129-48=81"
] | Current State: 81:[82, 47, 41, 7], Operations: []
Exploring Operation: 82+47=129, Resulting Numbers: [41, 7, 129]
Generated Node #2: [41, 7, 129] from Operation: 82+47=129
Current State: 81:[41, 7, 129], Operations: ['82+47=129']
Exploring Operation: 41+7=48, Resulting Numbers: [129, 48]
Generated Node #3: [129, 48] from Operation: 41+7=48
Current State: 81:[129, 48], Operations: ['82+47=129', '41+7=48']
Exploring Operation: 129-48=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
72,
3,
19,
57
] | 72 | [
"72+3=75",
"57/19=3",
"75-3=72"
] | Current State: 72:[72, 3, 19, 57], Operations: []
Exploring Operation: 72+3=75, Resulting Numbers: [19, 57, 75]
Generated Node #2: [19, 57, 75] from Operation: 72+3=75
Current State: 72:[19, 57, 75], Operations: ['72+3=75']
Exploring Operation: 57/19=3, Resulting Numbers: [75, 3]
Generated Node #3: [75, 3] from Operation: 57/19=3
Current State: 72:[75, 3], Operations: ['72+3=75', '57/19=3']
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
44,
34,
88,
44
] | 55 | [
"44/44=1",
"88-34=54",
"1+54=55"
] | Current State: 55:[44, 34, 88, 44], Operations: []
Exploring Operation: 44/44=1, Resulting Numbers: [34, 88, 1]
Generated Node #2: [34, 88, 1] from Operation: 44/44=1
Current State: 55:[34, 88, 1], Operations: ['44/44=1']
Exploring Operation: 88-34=54, Resulting Numbers: [1, 54]
Generated Node #3: [1, 54] from Operation: 88-34=54
Current State: 55:[1, 54], Operations: ['44/44=1', '88-34=54']
Exploring Operation: 1+54=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
35,
27,
45,
95
] | 31 | [
"45+95=140",
"140/35=4",
"27+4=31"
] | Current State: 31:[35, 27, 45, 95], Operations: []
Exploring Operation: 45+95=140, Resulting Numbers: [35, 27, 140]
Generated Node #2: [35, 27, 140] from Operation: 45+95=140
Current State: 31:[35, 27, 140], Operations: ['45+95=140']
Exploring Operation: 140/35=4, Resulting Numbers: [27, 4]
Generated Node #3: [27, 4] from Operation: 140/35=4
Current State: 31:[27, 4], Operations: ['45+95=140', '140/35=4']
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
76,
8,
16,
32
] | 80 | [
"8*16=128",
"128/32=4",
"76+4=80"
] | Current State: 80:[76, 8, 16, 32], Operations: []
Exploring Operation: 8*16=128, Resulting Numbers: [76, 32, 128]
Generated Node #2: [76, 32, 128] from Operation: 8*16=128
Current State: 80:[76, 32, 128], Operations: ['8*16=128']
Exploring Operation: 128/32=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 128/32=4
Current State: 80:[76, 4], Operations: ['8*16=128', '128/32=4']
Exploring Operation: 76+4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
23,
17,
90,
3
] | 81 | [
"23-17=6",
"90-3=87",
"87-6=81"
] | Current State: 81:[23, 17, 90, 3], Operations: []
Exploring Operation: 23-17=6, Resulting Numbers: [90, 3, 6]
Generated Node #2: [90, 3, 6] from Operation: 23-17=6
Current State: 81:[90, 3, 6], Operations: ['23-17=6']
Exploring Operation: 90-3=87, Resulting Numbers: [6, 87]
Generated Node #3: [6, 87] from Operation: 90-3=87
Current State: 81:[6, 87], Operations: ['23-17=6', '90-3=87']
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
45,
58,
30,
70
] | 53 | [
"58-45=13",
"70-30=40",
"13+40=53"
] | Current State: 53:[45, 58, 30, 70], Operations: []
Exploring Operation: 58-45=13, Resulting Numbers: [30, 70, 13]
Generated Node #2: [30, 70, 13] from Operation: 58-45=13
Current State: 53:[30, 70, 13], Operations: ['58-45=13']
Exploring Operation: 70-30=40, Resulting Numbers: [13, 40]
Generated Node #3: [13, 40] from Operation: 70-30=40
Current State: 53:[13, 40], Operations: ['58-45=13', '70-30=40']
Exploring Operation: 13+40=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
33,
16,
3,
8
] | 85 | [
"33-16=17",
"8-3=5",
"17*5=85"
] | Current State: 85:[33, 16, 3, 8], Operations: []
Exploring Operation: 33-16=17, Resulting Numbers: [3, 8, 17]
Generated Node #2: [3, 8, 17] from Operation: 33-16=17
Current State: 85:[3, 8, 17], Operations: ['33-16=17']
Exploring Operation: 8-3=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 8-3=5
Current State: 85:[17, 5], Operations: ['33-16=17', '8-3=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
73,
17,
33,
10
] | 87 | [
"33-17=16",
"10*16=160",
"160-73=87"
] | Current State: 87:[73, 17, 33, 10], Operations: []
Exploring Operation: 33-17=16, Resulting Numbers: [73, 10, 16]
Generated Node #2: [73, 10, 16] from Operation: 33-17=16
Current State: 87:[73, 10, 16], Operations: ['33-17=16']
Exploring Operation: 10*16=160, Resulting Numbers: [73, 160]
Generated Node #3: [73, 160] from Operation: 10*16=160
Current State: 87:[73, 160], Operations: ['33-17=16', '10*16=160']
Exploring Operation: 160-73=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
79,
79,
74,
32
] | 74 | [
"79-79=0",
"32*0=0",
"74+0=74"
] | Current State: 74:[79, 79, 74, 32], Operations: []
Exploring Operation: 79-79=0, Resulting Numbers: [74, 32, 0]
Generated Node #2: [74, 32, 0] from Operation: 79-79=0
Current State: 74:[74, 32, 0], Operations: ['79-79=0']
Exploring Operation: 32*0=0, Resulting Numbers: [74, 0]
Generated Node #3: [74, 0] from Operation: 32*0=0
Current State: 74:[74, 0], Operations: ['79-79=0', '32*0=0']
Exploring Operation: 74+0=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
13,
47,
11,
25
] | 36 | [
"13-11=2",
"47+25=72",
"72/2=36"
] | Current State: 36:[13, 47, 11, 25], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [47, 25, 2]
Generated Node #2: [47, 25, 2] from Operation: 13-11=2
Current State: 36:[47, 25, 2], Operations: ['13-11=2']
Exploring Operation: 47+25=72, Resulting Numbers: [2, 72]
Generated Node #3: [2, 72] from Operation: 47+25=72
Current State: 36:[2, 72], Operations: ['13-11=2', '47+25=72']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
99,
86,
79,
90
] | 13 | [
"99-86=13",
"79+90=169",
"169/13=13"
] | Current State: 13:[99, 86, 79, 90], Operations: []
Exploring Operation: 99-86=13, Resulting Numbers: [79, 90, 13]
Generated Node #2: [79, 90, 13] from Operation: 99-86=13
Current State: 13:[79, 90, 13], Operations: ['99-86=13']
Exploring Operation: 79+90=169, Resulting Numbers: [13, 169]
Generated Node #3: [13, 169] from Operation: 79+90=169
Current State: 13:[13, 169], Operations: ['99-86=13', '79+90=169']
Exploring Operation: 169/13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
28,
98,
81,
32
] | 68 | [
"32-28=4",
"98-81=17",
"4*17=68"
] | Current State: 68:[28, 98, 81, 32], Operations: []
Exploring Operation: 32-28=4, Resulting Numbers: [98, 81, 4]
Generated Node #2: [98, 81, 4] from Operation: 32-28=4
Current State: 68:[98, 81, 4], Operations: ['32-28=4']
Exploring Operation: 98-81=17, Resulting Numbers: [4, 17]
Generated Node #3: [4, 17] from Operation: 98-81=17
Current State: 68:[4, 17], Operations: ['32-28=4', '98-81=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
87,
51,
69,
48
] | 91 | [
"87*51=4437",
"4437-69=4368",
"4368/48=91"
] | Current State: 91:[87, 51, 69, 48], Operations: []
Exploring Operation: 87*51=4437, Resulting Numbers: [69, 48, 4437]
Generated Node #2: [69, 48, 4437] from Operation: 87*51=4437
Current State: 91:[69, 48, 4437], Operations: ['87*51=4437']
Exploring Operation: 4437-69=4368, Resulting Numbers: [48, 4368]
Generated Node #3: [48, 4368] from Operation: 4437-69=4368
Current State: 91:[48, 4368], Operations: ['87*51=4437', '4437-69=4368']
Exploring Operation: 4368/48=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
57,
40,
23,
64
] | 62 | [
"57+23=80",
"80/40=2",
"64-2=62"
] | Current State: 62:[57, 40, 23, 64], Operations: []
Exploring Operation: 57+23=80, Resulting Numbers: [40, 64, 80]
Generated Node #2: [40, 64, 80] from Operation: 57+23=80
Current State: 62:[40, 64, 80], Operations: ['57+23=80']
Exploring Operation: 80/40=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 80/40=2
Current State: 62:[64, 2], Operations: ['57+23=80', '80/40=2']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
62,
66,
7,
59
] | 29 | [
"62-59=3",
"66/3=22",
"7+22=29"
] | Current State: 29:[62, 66, 7, 59], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [66, 7, 3]
Generated Node #2: [66, 7, 3] from Operation: 62-59=3
Current State: 29:[66, 7, 3], Operations: ['62-59=3']
Exploring Operation: 66/3=22, Resulting Numbers: [7, 22]
Generated Node #3: [7, 22] from Operation: 66/3=22
Current State: 29:[7, 22], Operations: ['62-59=3', '66/3=22']
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
89,
14,
8,
51
] | 28 | [
"89+51=140",
"14*8=112",
"140-112=28"
] | Current State: 28:[89, 14, 8, 51], Operations: []
Exploring Operation: 89+51=140, Resulting Numbers: [14, 8, 140]
Generated Node #2: [14, 8, 140] from Operation: 89+51=140
Current State: 28:[14, 8, 140], Operations: ['89+51=140']
Exploring Operation: 14*8=112, Resulting Numbers: [140, 112]
Generated Node #3: [140, 112] from Operation: 14*8=112
Current State: 28:[140, 112], Operations: ['89+51=140', '14*8=112']
Exploring Operation: 140-112=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
7,
63,
18,
77
] | 16 | [
"77-63=14",
"14/7=2",
"18-2=16"
] | Current State: 16:[7, 63, 18, 77], Operations: []
Exploring Operation: 77-63=14, Resulting Numbers: [7, 18, 14]
Generated Node #2: [7, 18, 14] from Operation: 77-63=14
Current State: 16:[7, 18, 14], Operations: ['77-63=14']
Exploring Operation: 14/7=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 14/7=2
Current State: 16:[18, 2], Operations: ['77-63=14', '14/7=2']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
57,
17,
46,
61
] | 33 | [
"57+17=74",
"46+61=107",
"107-74=33"
] | Current State: 33:[57, 17, 46, 61], Operations: []
Exploring Operation: 57+17=74, Resulting Numbers: [46, 61, 74]
Generated Node #2: [46, 61, 74] from Operation: 57+17=74
Current State: 33:[46, 61, 74], Operations: ['57+17=74']
Exploring Operation: 46+61=107, Resulting Numbers: [74, 107]
Generated Node #3: [74, 107] from Operation: 46+61=107
Current State: 33:[74, 107], Operations: ['57+17=74', '46+61=107']
Exploring Operation: 107-74=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
13,
12,
52,
16
] | 16 | [
"52/13=4",
"16-12=4",
"4*4=16"
] | Current State: 16:[13, 12, 52, 16], Operations: []
Exploring Operation: 52/13=4, Resulting Numbers: [12, 16, 4]
Generated Node #2: [12, 16, 4] from Operation: 52/13=4
Current State: 16:[12, 16, 4], Operations: ['52/13=4']
Exploring Operation: 16-12=4, Resulting Numbers: [4, 4]
Generated Node #3: [4, 4] from Operation: 16-12=4
Current State: 16:[4, 4], Operations: ['52/13=4', '16-12=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
13,
4,
29,
3
] | 62 | [
"29-4=25",
"3*25=75",
"75-13=62"
] | Current State: 62:[13, 4, 29, 3], Operations: []
Exploring Operation: 29-4=25, Resulting Numbers: [13, 3, 25]
Generated Node #2: [13, 3, 25] from Operation: 29-4=25
Current State: 62:[13, 3, 25], Operations: ['29-4=25']
Exploring Operation: 3*25=75, Resulting Numbers: [13, 75]
Generated Node #3: [13, 75] from Operation: 3*25=75
Current State: 62:[13, 75], Operations: ['29-4=25', '3*25=75']
Exploring Operation: 75-13=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
57,
38,
24,
16
] | 11 | [
"57-38=19",
"24-16=8",
"19-8=11"
] | Current State: 11:[57, 38, 24, 16], Operations: []
Exploring Operation: 57-38=19, Resulting Numbers: [24, 16, 19]
Generated Node #2: [24, 16, 19] from Operation: 57-38=19
Current State: 11:[24, 16, 19], Operations: ['57-38=19']
Exploring Operation: 24-16=8, Resulting Numbers: [19, 8]
Generated Node #3: [19, 8] from Operation: 24-16=8
Current State: 11:[19, 8], Operations: ['57-38=19', '24-16=8']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
25,
2,
62,
26
] | 74 | [
"25+62=87",
"26/2=13",
"87-13=74"
] | Current State: 74:[25, 2, 62, 26], Operations: []
Exploring Operation: 25+62=87, Resulting Numbers: [2, 26, 87]
Generated Node #2: [2, 26, 87] from Operation: 25+62=87
Current State: 74:[2, 26, 87], Operations: ['25+62=87']
Exploring Operation: 26/2=13, Resulting Numbers: [87, 13]
Generated Node #3: [87, 13] from Operation: 26/2=13
Current State: 74:[87, 13], Operations: ['25+62=87', '26/2=13']
Exploring Operation: 87-13=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
19,
77,
19,
22
] | 17 | [
"77-19=58",
"19+22=41",
"58-41=17"
] | Current State: 17:[19, 77, 19, 22], Operations: []
Exploring Operation: 77-19=58, Resulting Numbers: [22, 58]
Generated Node #2: [22, 58] from Operation: 77-19=58
Current State: 17:[22, 58], Operations: ['77-19=58']
Exploring Operation: 19+22=41, Resulting Numbers: [58, 41]
Generated Node #3: [58, 41] from Operation: 19+22=41
Current State: 17:[58, 41], Operations: ['77-19=58', '19+22=41']
Exploring Operation: 58-41=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
86,
65,
8,
58
] | 85 | [
"86+65=151",
"8+58=66",
"151-66=85"
] | Current State: 85:[86, 65, 8, 58], Operations: []
Exploring Operation: 86+65=151, Resulting Numbers: [8, 58, 151]
Generated Node #2: [8, 58, 151] from Operation: 86+65=151
Current State: 85:[8, 58, 151], Operations: ['86+65=151']
Exploring Operation: 8+58=66, Resulting Numbers: [151, 66]
Generated Node #3: [151, 66] from Operation: 8+58=66
Current State: 85:[151, 66], Operations: ['86+65=151', '8+58=66']
Exploring Operation: 151-66=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
52,
45,
56,
47
] | 65 | [
"52-47=5",
"45/5=9",
"56+9=65"
] | Current State: 65:[52, 45, 56, 47], Operations: []
Exploring Operation: 52-47=5, Resulting Numbers: [45, 56, 5]
Generated Node #2: [45, 56, 5] from Operation: 52-47=5
Current State: 65:[45, 56, 5], Operations: ['52-47=5']
Exploring Operation: 45/5=9, Resulting Numbers: [56, 9]
Generated Node #3: [56, 9] from Operation: 45/5=9
Current State: 65:[56, 9], Operations: ['52-47=5', '45/5=9']
Exploring Operation: 56+9=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
77,
91,
34,
45
] | 81 | [
"91+45=136",
"136/34=4",
"77+4=81"
] | Current State: 81:[77, 91, 34, 45], Operations: []
Exploring Operation: 91+45=136, Resulting Numbers: [77, 34, 136]
Generated Node #2: [77, 34, 136] from Operation: 91+45=136
Current State: 81:[77, 34, 136], Operations: ['91+45=136']
Exploring Operation: 136/34=4, Resulting Numbers: [77, 4]
Generated Node #3: [77, 4] from Operation: 136/34=4
Current State: 81:[77, 4], Operations: ['91+45=136', '136/34=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
64,
8,
80,
51
] | 59 | [
"64+8=72",
"80+51=131",
"131-72=59"
] | Current State: 59:[64, 8, 80, 51], Operations: []
Exploring Operation: 64+8=72, Resulting Numbers: [80, 51, 72]
Generated Node #2: [80, 51, 72] from Operation: 64+8=72
Current State: 59:[80, 51, 72], Operations: ['64+8=72']
Exploring Operation: 80+51=131, Resulting Numbers: [72, 131]
Generated Node #3: [72, 131] from Operation: 80+51=131
Current State: 59:[72, 131], Operations: ['64+8=72', '80+51=131']
Exploring Operation: 131-72=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
93,
66,
15,
62
] | 50 | [
"93-66=27",
"15+62=77",
"77-27=50"
] | Current State: 50:[93, 66, 15, 62], Operations: []
Exploring Operation: 93-66=27, Resulting Numbers: [15, 62, 27]
Generated Node #2: [15, 62, 27] from Operation: 93-66=27
Current State: 50:[15, 62, 27], Operations: ['93-66=27']
Exploring Operation: 15+62=77, Resulting Numbers: [27, 77]
Generated Node #3: [27, 77] from Operation: 15+62=77
Current State: 50:[27, 77], Operations: ['93-66=27', '15+62=77']
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
17,
5,
62,
2
] | 59 | [
"17-2=15",
"15/5=3",
"62-3=59"
] | Current State: 59:[17, 5, 62, 2], Operations: []
Exploring Operation: 17-2=15, Resulting Numbers: [5, 62, 15]
Generated Node #2: [5, 62, 15] from Operation: 17-2=15
Current State: 59:[5, 62, 15], Operations: ['17-2=15']
Exploring Operation: 15/5=3, Resulting Numbers: [62, 3]
Generated Node #3: [62, 3] from Operation: 15/5=3
Current State: 59:[62, 3], Operations: ['17-2=15', '15/5=3']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
35,
63,
20,
60
] | 95 | [
"35+63=98",
"60/20=3",
"98-3=95"
] | Current State: 95:[35, 63, 20, 60], Operations: []
Exploring Operation: 35+63=98, Resulting Numbers: [20, 60, 98]
Generated Node #2: [20, 60, 98] from Operation: 35+63=98
Current State: 95:[20, 60, 98], Operations: ['35+63=98']
Exploring Operation: 60/20=3, Resulting Numbers: [98, 3]
Generated Node #3: [98, 3] from Operation: 60/20=3
Current State: 95:[98, 3], Operations: ['35+63=98', '60/20=3']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
77,
58,
48,
24
] | 53 | [
"77-58=19",
"48+24=72",
"72-19=53"
] | Current State: 53:[77, 58, 48, 24], Operations: []
Exploring Operation: 77-58=19, Resulting Numbers: [48, 24, 19]
Generated Node #2: [48, 24, 19] from Operation: 77-58=19
Current State: 53:[48, 24, 19], Operations: ['77-58=19']
Exploring Operation: 48+24=72, Resulting Numbers: [19, 72]
Generated Node #3: [19, 72] from Operation: 48+24=72
Current State: 53:[19, 72], Operations: ['77-58=19', '48+24=72']
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
99,
91,
67,
21
] | 30 | [
"91*21=1911",
"99+1911=2010",
"2010/67=30"
] | Current State: 30:[99, 91, 67, 21], Operations: []
Exploring Operation: 91*21=1911, Resulting Numbers: [99, 67, 1911]
Generated Node #2: [99, 67, 1911] from Operation: 91*21=1911
Current State: 30:[99, 67, 1911], Operations: ['91*21=1911']
Exploring Operation: 99+1911=2010, Resulting Numbers: [67, 2010]
Generated Node #3: [67, 2010] from Operation: 99+1911=2010
Current State: 30:[67, 2010], Operations: ['91*21=1911', '99+1911=2010']
Exploring Operation: 2010/67=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
11,
23,
89,
76
] | 98 | [
"23+76=99",
"99/11=9",
"89+9=98"
] | Current State: 98:[11, 23, 89, 76], Operations: []
Exploring Operation: 23+76=99, Resulting Numbers: [11, 89, 99]
Generated Node #2: [11, 89, 99] from Operation: 23+76=99
Current State: 98:[11, 89, 99], Operations: ['23+76=99']
Exploring Operation: 99/11=9, Resulting Numbers: [89, 9]
Generated Node #3: [89, 9] from Operation: 99/11=9
Current State: 98:[89, 9], Operations: ['23+76=99', '99/11=9']
Exploring Operation: 89+9=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
45,
58,
18,
5
] | 80 | [
"45+58=103",
"18+5=23",
"103-23=80"
] | Current State: 80:[45, 58, 18, 5], Operations: []
Exploring Operation: 45+58=103, Resulting Numbers: [18, 5, 103]
Generated Node #2: [18, 5, 103] from Operation: 45+58=103
Current State: 80:[18, 5, 103], Operations: ['45+58=103']
Exploring Operation: 18+5=23, Resulting Numbers: [103, 23]
Generated Node #3: [103, 23] from Operation: 18+5=23
Current State: 80:[103, 23], Operations: ['45+58=103', '18+5=23']
Exploring Operation: 103-23=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
48,
39,
22,
78
] | 92 | [
"78/39=2",
"22*2=44",
"48+44=92"
] | Current State: 92:[48, 39, 22, 78], Operations: []
Exploring Operation: 78/39=2, Resulting Numbers: [48, 22, 2]
Generated Node #2: [48, 22, 2] from Operation: 78/39=2
Current State: 92:[48, 22, 2], Operations: ['78/39=2']
Exploring Operation: 22*2=44, Resulting Numbers: [48, 44]
Generated Node #3: [48, 44] from Operation: 22*2=44
Current State: 92:[48, 44], Operations: ['78/39=2', '22*2=44']
Exploring Operation: 48+44=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
84,
99,
60,
4
] | 79 | [
"99-84=15",
"60+4=64",
"15+64=79"
] | Current State: 79:[84, 99, 60, 4], Operations: []
Exploring Operation: 99-84=15, Resulting Numbers: [60, 4, 15]
Generated Node #2: [60, 4, 15] from Operation: 99-84=15
Current State: 79:[60, 4, 15], Operations: ['99-84=15']
Exploring Operation: 60+4=64, Resulting Numbers: [15, 64]
Generated Node #3: [15, 64] from Operation: 60+4=64
Current State: 79:[15, 64], Operations: ['99-84=15', '60+4=64']
Exploring Operation: 15+64=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
32,
21,
69,
15
] | 43 | [
"32-21=11",
"69-15=54",
"54-11=43"
] | Current State: 43:[32, 21, 69, 15], Operations: []
Exploring Operation: 32-21=11, Resulting Numbers: [69, 15, 11]
Generated Node #2: [69, 15, 11] from Operation: 32-21=11
Current State: 43:[69, 15, 11], Operations: ['32-21=11']
Exploring Operation: 69-15=54, Resulting Numbers: [11, 54]
Generated Node #3: [11, 54] from Operation: 69-15=54
Current State: 43:[11, 54], Operations: ['32-21=11', '69-15=54']
Exploring Operation: 54-11=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
73,
15,
14,
32
] | 76 | [
"73-15=58",
"32-14=18",
"58+18=76"
] | Current State: 76:[73, 15, 14, 32], Operations: []
Exploring Operation: 73-15=58, Resulting Numbers: [14, 32, 58]
Generated Node #2: [14, 32, 58] from Operation: 73-15=58
Current State: 76:[14, 32, 58], Operations: ['73-15=58']
Exploring Operation: 32-14=18, Resulting Numbers: [58, 18]
Generated Node #3: [58, 18] from Operation: 32-14=18
Current State: 76:[58, 18], Operations: ['73-15=58', '32-14=18']
Exploring Operation: 58+18=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
77,
3,
18,
24
] | 38 | [
"77+3=80",
"18+24=42",
"80-42=38"
] | Current State: 38:[77, 3, 18, 24], Operations: []
Exploring Operation: 77+3=80, Resulting Numbers: [18, 24, 80]
Generated Node #2: [18, 24, 80] from Operation: 77+3=80
Current State: 38:[18, 24, 80], Operations: ['77+3=80']
Exploring Operation: 18+24=42, Resulting Numbers: [80, 42]
Generated Node #3: [80, 42] from Operation: 18+24=42
Current State: 38:[80, 42], Operations: ['77+3=80', '18+24=42']
Exploring Operation: 80-42=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
88,
59,
66,
46
] | 35 | [
"88+59=147",
"66+46=112",
"147-112=35"
] | Current State: 35:[88, 59, 66, 46], Operations: []
Exploring Operation: 88+59=147, Resulting Numbers: [66, 46, 147]
Generated Node #2: [66, 46, 147] from Operation: 88+59=147
Current State: 35:[66, 46, 147], Operations: ['88+59=147']
Exploring Operation: 66+46=112, Resulting Numbers: [147, 112]
Generated Node #3: [147, 112] from Operation: 66+46=112
Current State: 35:[147, 112], Operations: ['88+59=147', '66+46=112']
Exploring Operation: 147-112=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
95,
12,
46,
35
] | 72 | [
"95-12=83",
"46-35=11",
"83-11=72"
] | Current State: 72:[95, 12, 46, 35], Operations: []
Exploring Operation: 95-12=83, Resulting Numbers: [46, 35, 83]
Generated Node #2: [46, 35, 83] from Operation: 95-12=83
Current State: 72:[46, 35, 83], Operations: ['95-12=83']
Exploring Operation: 46-35=11, Resulting Numbers: [83, 11]
Generated Node #3: [83, 11] from Operation: 46-35=11
Current State: 72:[83, 11], Operations: ['95-12=83', '46-35=11']
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
77,
19,
23,
38
] | 52 | [
"77-23=54",
"38/19=2",
"54-2=52"
] | Current State: 52:[77, 19, 23, 38], Operations: []
Exploring Operation: 77-23=54, Resulting Numbers: [19, 38, 54]
Generated Node #2: [19, 38, 54] from Operation: 77-23=54
Current State: 52:[19, 38, 54], Operations: ['77-23=54']
Exploring Operation: 38/19=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 38/19=2
Current State: 52:[54, 2], Operations: ['77-23=54', '38/19=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
78,
83,
96,
49
] | 29 | [
"83-78=5",
"96+49=145",
"145/5=29"
] | Current State: 29:[78, 83, 96, 49], Operations: []
Exploring Operation: 83-78=5, Resulting Numbers: [96, 49, 5]
Generated Node #2: [96, 49, 5] from Operation: 83-78=5
Current State: 29:[96, 49, 5], Operations: ['83-78=5']
Exploring Operation: 96+49=145, Resulting Numbers: [5, 145]
Generated Node #3: [5, 145] from Operation: 96+49=145
Current State: 29:[5, 145], Operations: ['83-78=5', '96+49=145']
Exploring Operation: 145/5=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
5,
15,
48,
14
] | 80 | [
"14-5=9",
"15*48=720",
"720/9=80"
] | Current State: 80:[5, 15, 48, 14], Operations: []
Exploring Operation: 14-5=9, Resulting Numbers: [15, 48, 9]
Generated Node #2: [15, 48, 9] from Operation: 14-5=9
Current State: 80:[15, 48, 9], Operations: ['14-5=9']
Exploring Operation: 15*48=720, Resulting Numbers: [9, 720]
Generated Node #3: [9, 720] from Operation: 15*48=720
Current State: 80:[9, 720], Operations: ['14-5=9', '15*48=720']
Exploring Operation: 720/9=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
54,
2,
45,
48
] | 41 | [
"54-2=52",
"45+48=93",
"93-52=41"
] | Current State: 41:[54, 2, 45, 48], Operations: []
Exploring Operation: 54-2=52, Resulting Numbers: [45, 48, 52]
Generated Node #2: [45, 48, 52] from Operation: 54-2=52
Current State: 41:[45, 48, 52], Operations: ['54-2=52']
Exploring Operation: 45+48=93, Resulting Numbers: [52, 93]
Generated Node #3: [52, 93] from Operation: 45+48=93
Current State: 41:[52, 93], Operations: ['54-2=52', '45+48=93']
Exploring Operation: 93-52=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
49,
53,
56,
63
] | 19 | [
"56*63=3528",
"3528/49=72",
"72-53=19"
] | Current State: 19:[49, 53, 56, 63], Operations: []
Exploring Operation: 56*63=3528, Resulting Numbers: [49, 53, 3528]
Generated Node #2: [49, 53, 3528] from Operation: 56*63=3528
Current State: 19:[49, 53, 3528], Operations: ['56*63=3528']
Exploring Operation: 3528/49=72, Resulting Numbers: [53, 72]
Generated Node #3: [53, 72] from Operation: 3528/49=72
Current State: 19:[53, 72], Operations: ['56*63=3528', '3528/49=72']
Exploring Operation: 72-53=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
48,
84,
58,
58
] | 48 | [
"58-58=0",
"84*0=0",
"48+0=48"
] | Current State: 48:[48, 84, 58, 58], Operations: []
Exploring Operation: 58-58=0, Resulting Numbers: [48, 84, 0]
Generated Node #2: [48, 84, 0] from Operation: 58-58=0
Current State: 48:[48, 84, 0], Operations: ['58-58=0']
Exploring Operation: 84*0=0, Resulting Numbers: [48, 0]
Generated Node #3: [48, 0] from Operation: 84*0=0
Current State: 48:[48, 0], Operations: ['58-58=0', '84*0=0']
Exploring Operation: 48+0=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
31,
2,
10,
58
] | 47 | [
"58-31=27",
"2*10=20",
"27+20=47"
] | Current State: 47:[31, 2, 10, 58], Operations: []
Exploring Operation: 58-31=27, Resulting Numbers: [2, 10, 27]
Generated Node #2: [2, 10, 27] from Operation: 58-31=27
Current State: 47:[2, 10, 27], Operations: ['58-31=27']
Exploring Operation: 2*10=20, Resulting Numbers: [27, 20]
Generated Node #3: [27, 20] from Operation: 2*10=20
Current State: 47:[27, 20], Operations: ['58-31=27', '2*10=20']
Exploring Operation: 27+20=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
22,
91,
18,
29
] | 58 | [
"91-22=69",
"29-18=11",
"69-11=58"
] | Current State: 58:[22, 91, 18, 29], Operations: []
Exploring Operation: 91-22=69, Resulting Numbers: [18, 29, 69]
Generated Node #2: [18, 29, 69] from Operation: 91-22=69
Current State: 58:[18, 29, 69], Operations: ['91-22=69']
Exploring Operation: 29-18=11, Resulting Numbers: [69, 11]
Generated Node #3: [69, 11] from Operation: 29-18=11
Current State: 58:[69, 11], Operations: ['91-22=69', '29-18=11']
Exploring Operation: 69-11=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
45,
45,
7,
60
] | 54 | [
"45/45=1",
"60-7=53",
"1+53=54"
] | Current State: 54:[45, 45, 7, 60], Operations: []
Exploring Operation: 45/45=1, Resulting Numbers: [7, 60, 1]
Generated Node #2: [7, 60, 1] from Operation: 45/45=1
Current State: 54:[7, 60, 1], Operations: ['45/45=1']
Exploring Operation: 60-7=53, Resulting Numbers: [1, 53]
Generated Node #3: [1, 53] from Operation: 60-7=53
Current State: 54:[1, 53], Operations: ['45/45=1', '60-7=53']
Exploring Operation: 1+53=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
38,
25,
51,
76
] | 78 | [
"76/38=2",
"25+51=76",
"2+76=78"
] | Current State: 78:[38, 25, 51, 76], Operations: []
Exploring Operation: 76/38=2, Resulting Numbers: [25, 51, 2]
Generated Node #2: [25, 51, 2] from Operation: 76/38=2
Current State: 78:[25, 51, 2], Operations: ['76/38=2']
Exploring Operation: 25+51=76, Resulting Numbers: [2, 76]
Generated Node #3: [2, 76] from Operation: 25+51=76
Current State: 78:[2, 76], Operations: ['76/38=2', '25+51=76']
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
95,
11,
24,
19
] | 79 | [
"95*11=1045",
"1045/19=55",
"24+55=79"
] | Current State: 79:[95, 11, 24, 19], Operations: []
Exploring Operation: 95*11=1045, Resulting Numbers: [24, 19, 1045]
Generated Node #2: [24, 19, 1045] from Operation: 95*11=1045
Current State: 79:[24, 19, 1045], Operations: ['95*11=1045']
Exploring Operation: 1045/19=55, Resulting Numbers: [24, 55]
Generated Node #3: [24, 55] from Operation: 1045/19=55
Current State: 79:[24, 55], Operations: ['95*11=1045', '1045/19=55']
Exploring Operation: 24+55=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
10,
34,
52,
50
] | 54 | [
"52-50=2",
"10*2=20",
"34+20=54"
] | Current State: 54:[10, 34, 52, 50], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [10, 34, 2]
Generated Node #2: [10, 34, 2] from Operation: 52-50=2
Current State: 54:[10, 34, 2], Operations: ['52-50=2']
Exploring Operation: 10*2=20, Resulting Numbers: [34, 20]
Generated Node #3: [34, 20] from Operation: 10*2=20
Current State: 54:[34, 20], Operations: ['52-50=2', '10*2=20']
Exploring Operation: 34+20=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
91,
84,
32,
65
] | 78 | [
"91+84=175",
"32+65=97",
"175-97=78"
] | Current State: 78:[91, 84, 32, 65], Operations: []
Exploring Operation: 91+84=175, Resulting Numbers: [32, 65, 175]
Generated Node #2: [32, 65, 175] from Operation: 91+84=175
Current State: 78:[32, 65, 175], Operations: ['91+84=175']
Exploring Operation: 32+65=97, Resulting Numbers: [175, 97]
Generated Node #3: [175, 97] from Operation: 32+65=97
Current State: 78:[175, 97], Operations: ['91+84=175', '32+65=97']
Exploring Operation: 175-97=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
64,
97,
2,
52
] | 77 | [
"64/2=32",
"97-52=45",
"32+45=77"
] | Current State: 77:[64, 97, 2, 52], Operations: []
Exploring Operation: 64/2=32, Resulting Numbers: [97, 52, 32]
Generated Node #2: [97, 52, 32] from Operation: 64/2=32
Current State: 77:[97, 52, 32], Operations: ['64/2=32']
Exploring Operation: 97-52=45, Resulting Numbers: [32, 45]
Generated Node #3: [32, 45] from Operation: 97-52=45
Current State: 77:[32, 45], Operations: ['64/2=32', '97-52=45']
Exploring Operation: 32+45=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
53,
46,
6,
46
] | 33 | [
"53-46=7",
"46-6=40",
"40-7=33"
] | Current State: 33:[53, 46, 6, 46], Operations: []
Exploring Operation: 53-46=7, Resulting Numbers: [6, 7]
Generated Node #2: [6, 7] from Operation: 53-46=7
Current State: 33:[6, 7], Operations: ['53-46=7']
Exploring Operation: 46-6=40, Resulting Numbers: [7, 40]
Generated Node #3: [7, 40] from Operation: 46-6=40
Current State: 33:[7, 40], Operations: ['53-46=7', '46-6=40']
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
35,
37,
16,
52
] | 42 | [
"37-35=2",
"52/2=26",
"16+26=42"
] | Current State: 42:[35, 37, 16, 52], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [16, 52, 2]
Generated Node #2: [16, 52, 2] from Operation: 37-35=2
Current State: 42:[16, 52, 2], Operations: ['37-35=2']
Exploring Operation: 52/2=26, Resulting Numbers: [16, 26]
Generated Node #3: [16, 26] from Operation: 52/2=26
Current State: 42:[16, 26], Operations: ['37-35=2', '52/2=26']
Exploring Operation: 16+26=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
48,
48,
56,
92
] | 64 | [
"48*48=2304",
"92-56=36",
"2304/36=64"
] | Current State: 64:[48, 48, 56, 92], Operations: []
Exploring Operation: 48*48=2304, Resulting Numbers: [56, 92, 2304]
Generated Node #2: [56, 92, 2304] from Operation: 48*48=2304
Current State: 64:[56, 92, 2304], Operations: ['48*48=2304']
Exploring Operation: 92-56=36, Resulting Numbers: [2304, 36]
Generated Node #3: [2304, 36] from Operation: 92-56=36
Current State: 64:[2304, 36], Operations: ['48*48=2304', '92-56=36']
Exploring Operation: 2304/36=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
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