nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
57,
75,
18,
22
] | 72 | [
"75-57=18",
"22-18=4",
"18*4=72"
] | Current State: 72:[57, 75, 18, 22], Operations: []
Exploring Operation: 75-57=18, Resulting Numbers: [18, 22, 18]
Generated Node #2: [18, 22, 18] from Operation: 75-57=18
Current State: 72:[18, 22, 18], Operations: ['75-57=18']
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,72 equal: Goal Reached
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
92,
5,
79,
5
] | 12 | [
"92-79=13",
"5*5=25",
"25-13=12"
] | Current State: 12:[92, 5, 79, 5], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [5, 5, 13]
Generated Node #2: [5, 5, 13] from Operation: 92-79=13
Current State: 12:[5, 5, 13], Operations: ['92-79=13']
Exploring Operation: 5*5=25, Resulting Numbers: [13, 25]
Generated Node #3: [13, 25] from Operation: 5*5=25
Current State: 12:[13, 25], Operations: ['92-79=13', '5*5=25']
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
2,
37,
28,
68
] | 62 | [
"37+28=65",
"2*65=130",
"130-68=62"
] | Current State: 62:[2, 37, 28, 68], Operations: []
Exploring Operation: 37+28=65, Resulting Numbers: [2, 68, 65]
Generated Node #2: [2, 68, 65] from Operation: 37+28=65
Current State: 62:[2, 68, 65], Operations: ['37+28=65']
Exploring Operation: 2*65=130, Resulting Numbers: [68, 130]
Generated Node #3: [68, 130] from Operation: 2*65=130
Current State: 62:[68, 130], Operations: ['37+28=65', '2*65=130']
Exploring Operation: 130-68=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
7,
11,
24,
63
] | 35 | [
"11-7=4",
"63-24=39",
"39-4=35"
] | Current State: 35:[7, 11, 24, 63], Operations: []
Exploring Operation: 11-7=4, Resulting Numbers: [24, 63, 4]
Generated Node #2: [24, 63, 4] from Operation: 11-7=4
Current State: 35:[24, 63, 4], Operations: ['11-7=4']
Exploring Operation: 63-24=39, Resulting Numbers: [4, 39]
Generated Node #3: [4, 39] from Operation: 63-24=39
Current State: 35:[4, 39], Operations: ['11-7=4', '63-24=39']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
74,
14,
59,
63
] | 92 | [
"74+14=88",
"63-59=4",
"88+4=92"
] | Current State: 92:[74, 14, 59, 63], Operations: []
Exploring Operation: 74+14=88, Resulting Numbers: [59, 63, 88]
Generated Node #2: [59, 63, 88] from Operation: 74+14=88
Current State: 92:[59, 63, 88], Operations: ['74+14=88']
Exploring Operation: 63-59=4, Resulting Numbers: [88, 4]
Generated Node #3: [88, 4] from Operation: 63-59=4
Current State: 92:[88, 4], Operations: ['74+14=88', '63-59=4']
Exploring Operation: 88+4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
54,
49,
31,
51
] | 44 | [
"54-51=3",
"31*3=93",
"93-49=44"
] | Current State: 44:[54, 49, 31, 51], Operations: []
Exploring Operation: 54-51=3, Resulting Numbers: [49, 31, 3]
Generated Node #2: [49, 31, 3] from Operation: 54-51=3
Current State: 44:[49, 31, 3], Operations: ['54-51=3']
Exploring Operation: 31*3=93, Resulting Numbers: [49, 93]
Generated Node #3: [49, 93] from Operation: 31*3=93
Current State: 44:[49, 93], Operations: ['54-51=3', '31*3=93']
Exploring Operation: 93-49=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
55,
22,
51,
16
] | 86 | [
"55-51=4",
"16*4=64",
"22+64=86"
] | Current State: 86:[55, 22, 51, 16], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [22, 16, 4]
Generated Node #2: [22, 16, 4] from Operation: 55-51=4
Current State: 86:[22, 16, 4], Operations: ['55-51=4']
Exploring Operation: 16*4=64, Resulting Numbers: [22, 64]
Generated Node #3: [22, 64] from Operation: 16*4=64
Current State: 86:[22, 64], Operations: ['55-51=4', '16*4=64']
Exploring Operation: 22+64=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
55,
52,
51,
33
] | 80 | [
"55-51=4",
"33*4=132",
"132-52=80"
] | Current State: 80:[55, 52, 51, 33], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [52, 33, 4]
Generated Node #2: [52, 33, 4] from Operation: 55-51=4
Current State: 80:[52, 33, 4], Operations: ['55-51=4']
Exploring Operation: 33*4=132, Resulting Numbers: [52, 132]
Generated Node #3: [52, 132] from Operation: 33*4=132
Current State: 80:[52, 132], Operations: ['55-51=4', '33*4=132']
Exploring Operation: 132-52=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
84,
74,
32,
75
] | 52 | [
"84-32=52",
"75-74=1",
"52*1=52"
] | Current State: 52:[84, 74, 32, 75], Operations: []
Exploring Operation: 84-32=52, Resulting Numbers: [74, 75, 52]
Generated Node #2: [74, 75, 52] from Operation: 84-32=52
Current State: 52:[74, 75, 52], Operations: ['84-32=52']
Exploring Operation: 75-74=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 75-74=1
Current State: 52:[52, 1], Operations: ['84-32=52', '75-74=1']
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
49,
15,
96,
1
] | 43 | [
"15+1=16",
"96/16=6",
"49-6=43"
] | Current State: 43:[49, 15, 96, 1], Operations: []
Exploring Operation: 15+1=16, Resulting Numbers: [49, 96, 16]
Generated Node #2: [49, 96, 16] from Operation: 15+1=16
Current State: 43:[49, 96, 16], Operations: ['15+1=16']
Exploring Operation: 96/16=6, Resulting Numbers: [49, 6]
Generated Node #3: [49, 6] from Operation: 96/16=6
Current State: 43:[49, 6], Operations: ['15+1=16', '96/16=6']
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
79,
84,
30,
87
] | 81 | [
"84-79=5",
"30/5=6",
"87-6=81"
] | Current State: 81:[79, 84, 30, 87], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [30, 87, 5]
Generated Node #2: [30, 87, 5] from Operation: 84-79=5
Current State: 81:[30, 87, 5], Operations: ['84-79=5']
Exploring Operation: 30/5=6, Resulting Numbers: [87, 6]
Generated Node #3: [87, 6] from Operation: 30/5=6
Current State: 81:[87, 6], Operations: ['84-79=5', '30/5=6']
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
22,
34,
94,
89
] | 61 | [
"22+34=56",
"94-89=5",
"56+5=61"
] | Current State: 61:[22, 34, 94, 89], Operations: []
Exploring Operation: 22+34=56, Resulting Numbers: [94, 89, 56]
Generated Node #2: [94, 89, 56] from Operation: 22+34=56
Current State: 61:[94, 89, 56], Operations: ['22+34=56']
Exploring Operation: 94-89=5, Resulting Numbers: [56, 5]
Generated Node #3: [56, 5] from Operation: 94-89=5
Current State: 61:[56, 5], Operations: ['22+34=56', '94-89=5']
Exploring Operation: 56+5=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
87,
50,
98,
2
] | 28 | [
"98-87=11",
"2*11=22",
"50-22=28"
] | Current State: 28:[87, 50, 98, 2], Operations: []
Exploring Operation: 98-87=11, Resulting Numbers: [50, 2, 11]
Generated Node #2: [50, 2, 11] from Operation: 98-87=11
Current State: 28:[50, 2, 11], Operations: ['98-87=11']
Exploring Operation: 2*11=22, Resulting Numbers: [50, 22]
Generated Node #3: [50, 22] from Operation: 2*11=22
Current State: 28:[50, 22], Operations: ['98-87=11', '2*11=22']
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
48,
39,
15,
35
] | 37 | [
"48+39=87",
"15+35=50",
"87-50=37"
] | Current State: 37:[48, 39, 15, 35], Operations: []
Exploring Operation: 48+39=87, Resulting Numbers: [15, 35, 87]
Generated Node #2: [15, 35, 87] from Operation: 48+39=87
Current State: 37:[15, 35, 87], Operations: ['48+39=87']
Exploring Operation: 15+35=50, Resulting Numbers: [87, 50]
Generated Node #3: [87, 50] from Operation: 15+35=50
Current State: 37:[87, 50], Operations: ['48+39=87', '15+35=50']
Exploring Operation: 87-50=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
96,
82,
69,
95
] | 12 | [
"96-82=14",
"95-69=26",
"26-14=12"
] | Current State: 12:[96, 82, 69, 95], Operations: []
Exploring Operation: 96-82=14, Resulting Numbers: [69, 95, 14]
Generated Node #2: [69, 95, 14] from Operation: 96-82=14
Current State: 12:[69, 95, 14], Operations: ['96-82=14']
Exploring Operation: 95-69=26, Resulting Numbers: [14, 26]
Generated Node #3: [14, 26] from Operation: 95-69=26
Current State: 12:[14, 26], Operations: ['96-82=14', '95-69=26']
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
1,
7,
9,
5
] | 26 | [
"1*7=7",
"5*7=35",
"35-9=26"
] | Current State: 26:[1, 7, 9, 5], Operations: []
Exploring Operation: 1*7=7, Resulting Numbers: [9, 5, 7]
Generated Node #2: [9, 5, 7] from Operation: 1*7=7
Current State: 26:[9, 5, 7], Operations: ['1*7=7']
Exploring Operation: 5*7=35, Resulting Numbers: [9, 35]
Generated Node #3: [9, 35] from Operation: 5*7=35
Current State: 26:[9, 35], Operations: ['1*7=7', '5*7=35']
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
51,
65,
35,
60
] | 85 | [
"65+35=100",
"51*100=5100",
"5100/60=85"
] | Current State: 85:[51, 65, 35, 60], Operations: []
Exploring Operation: 65+35=100, Resulting Numbers: [51, 60, 100]
Generated Node #2: [51, 60, 100] from Operation: 65+35=100
Current State: 85:[51, 60, 100], Operations: ['65+35=100']
Exploring Operation: 51*100=5100, Resulting Numbers: [60, 5100]
Generated Node #3: [60, 5100] from Operation: 51*100=5100
Current State: 85:[60, 5100], Operations: ['65+35=100', '51*100=5100']
Exploring Operation: 5100/60=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
90,
14,
28,
51
] | 37 | [
"90-51=39",
"28/14=2",
"39-2=37"
] | Current State: 37:[90, 14, 28, 51], Operations: []
Exploring Operation: 90-51=39, Resulting Numbers: [14, 28, 39]
Generated Node #2: [14, 28, 39] from Operation: 90-51=39
Current State: 37:[14, 28, 39], Operations: ['90-51=39']
Exploring Operation: 28/14=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 28/14=2
Current State: 37:[39, 2], Operations: ['90-51=39', '28/14=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
21,
6,
70,
36
] | 41 | [
"21*70=1470",
"6+1470=1476",
"1476/36=41"
] | Current State: 41:[21, 6, 70, 36], Operations: []
Exploring Operation: 21*70=1470, Resulting Numbers: [6, 36, 1470]
Generated Node #2: [6, 36, 1470] from Operation: 21*70=1470
Current State: 41:[6, 36, 1470], Operations: ['21*70=1470']
Exploring Operation: 6+1470=1476, Resulting Numbers: [36, 1476]
Generated Node #3: [36, 1476] from Operation: 6+1470=1476
Current State: 41:[36, 1476], Operations: ['21*70=1470', '6+1470=1476']
Exploring Operation: 1476/36=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
56,
31,
47,
12
] | 20 | [
"47*12=564",
"56+564=620",
"620/31=20"
] | Current State: 20:[56, 31, 47, 12], Operations: []
Exploring Operation: 47*12=564, Resulting Numbers: [56, 31, 564]
Generated Node #2: [56, 31, 564] from Operation: 47*12=564
Current State: 20:[56, 31, 564], Operations: ['47*12=564']
Exploring Operation: 56+564=620, Resulting Numbers: [31, 620]
Generated Node #3: [31, 620] from Operation: 56+564=620
Current State: 20:[31, 620], Operations: ['47*12=564', '56+564=620']
Exploring Operation: 620/31=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
91,
6,
20,
98
] | 84 | [
"20-6=14",
"98/14=7",
"91-7=84"
] | Current State: 84:[91, 6, 20, 98], Operations: []
Exploring Operation: 20-6=14, Resulting Numbers: [91, 98, 14]
Generated Node #2: [91, 98, 14] from Operation: 20-6=14
Current State: 84:[91, 98, 14], Operations: ['20-6=14']
Exploring Operation: 98/14=7, Resulting Numbers: [91, 7]
Generated Node #3: [91, 7] from Operation: 98/14=7
Current State: 84:[91, 7], Operations: ['20-6=14', '98/14=7']
Exploring Operation: 91-7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
60,
59,
25,
23
] | 48 | [
"60-59=1",
"25+23=48",
"1*48=48"
] | Current State: 48:[60, 59, 25, 23], Operations: []
Exploring Operation: 60-59=1, Resulting Numbers: [25, 23, 1]
Generated Node #2: [25, 23, 1] from Operation: 60-59=1
Current State: 48:[25, 23, 1], Operations: ['60-59=1']
Exploring Operation: 25+23=48, Resulting Numbers: [1, 48]
Generated Node #3: [1, 48] from Operation: 25+23=48
Current State: 48:[1, 48], Operations: ['60-59=1', '25+23=48']
Exploring Operation: 1*48=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
19,
4,
32,
89
] | 12 | [
"89-32=57",
"57/19=3",
"4*3=12"
] | Current State: 12:[19, 4, 32, 89], Operations: []
Exploring Operation: 89-32=57, Resulting Numbers: [19, 4, 57]
Generated Node #2: [19, 4, 57] from Operation: 89-32=57
Current State: 12:[19, 4, 57], Operations: ['89-32=57']
Exploring Operation: 57/19=3, Resulting Numbers: [4, 3]
Generated Node #3: [4, 3] from Operation: 57/19=3
Current State: 12:[4, 3], Operations: ['89-32=57', '57/19=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
7,
16,
91,
63
] | 38 | [
"91+63=154",
"154/7=22",
"16+22=38"
] | Current State: 38:[7, 16, 91, 63], Operations: []
Exploring Operation: 91+63=154, Resulting Numbers: [7, 16, 154]
Generated Node #2: [7, 16, 154] from Operation: 91+63=154
Current State: 38:[7, 16, 154], Operations: ['91+63=154']
Exploring Operation: 154/7=22, Resulting Numbers: [16, 22]
Generated Node #3: [16, 22] from Operation: 154/7=22
Current State: 38:[16, 22], Operations: ['91+63=154', '154/7=22']
Exploring Operation: 16+22=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
12,
2,
30,
7
] | 65 | [
"12-7=5",
"2*30=60",
"5+60=65"
] | Current State: 65:[12, 2, 30, 7], Operations: []
Exploring Operation: 12-7=5, Resulting Numbers: [2, 30, 5]
Generated Node #2: [2, 30, 5] from Operation: 12-7=5
Current State: 65:[2, 30, 5], Operations: ['12-7=5']
Exploring Operation: 2*30=60, Resulting Numbers: [5, 60]
Generated Node #3: [5, 60] from Operation: 2*30=60
Current State: 65:[5, 60], Operations: ['12-7=5', '2*30=60']
Exploring Operation: 5+60=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
3,
30,
45,
32
] | 37 | [
"45-30=15",
"15/3=5",
"32+5=37"
] | Current State: 37:[3, 30, 45, 32], Operations: []
Exploring Operation: 45-30=15, Resulting Numbers: [3, 32, 15]
Generated Node #2: [3, 32, 15] from Operation: 45-30=15
Current State: 37:[3, 32, 15], Operations: ['45-30=15']
Exploring Operation: 15/3=5, Resulting Numbers: [32, 5]
Generated Node #3: [32, 5] from Operation: 15/3=5
Current State: 37:[32, 5], Operations: ['45-30=15', '15/3=5']
Exploring Operation: 32+5=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
58,
28,
31,
99
] | 25 | [
"31-28=3",
"99/3=33",
"58-33=25"
] | Current State: 25:[58, 28, 31, 99], Operations: []
Exploring Operation: 31-28=3, Resulting Numbers: [58, 99, 3]
Generated Node #2: [58, 99, 3] from Operation: 31-28=3
Current State: 25:[58, 99, 3], Operations: ['31-28=3']
Exploring Operation: 99/3=33, Resulting Numbers: [58, 33]
Generated Node #3: [58, 33] from Operation: 99/3=33
Current State: 25:[58, 33], Operations: ['31-28=3', '99/3=33']
Exploring Operation: 58-33=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
10,
74,
8,
12
] | 59 | [
"10*12=120",
"120/8=15",
"74-15=59"
] | Current State: 59:[10, 74, 8, 12], Operations: []
Exploring Operation: 10*12=120, Resulting Numbers: [74, 8, 120]
Generated Node #2: [74, 8, 120] from Operation: 10*12=120
Current State: 59:[74, 8, 120], Operations: ['10*12=120']
Exploring Operation: 120/8=15, Resulting Numbers: [74, 15]
Generated Node #3: [74, 15] from Operation: 120/8=15
Current State: 59:[74, 15], Operations: ['10*12=120', '120/8=15']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
70,
6,
76,
2
] | 44 | [
"70-6=64",
"64/2=32",
"76-32=44"
] | Current State: 44:[70, 6, 76, 2], Operations: []
Exploring Operation: 70-6=64, Resulting Numbers: [76, 2, 64]
Generated Node #2: [76, 2, 64] from Operation: 70-6=64
Current State: 44:[76, 2, 64], Operations: ['70-6=64']
Exploring Operation: 64/2=32, Resulting Numbers: [76, 32]
Generated Node #3: [76, 32] from Operation: 64/2=32
Current State: 44:[76, 32], Operations: ['70-6=64', '64/2=32']
Exploring Operation: 76-32=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
57,
25,
29,
58
] | 41 | [
"57+25=82",
"58/29=2",
"82/2=41"
] | Current State: 41:[57, 25, 29, 58], Operations: []
Exploring Operation: 57+25=82, Resulting Numbers: [29, 58, 82]
Generated Node #2: [29, 58, 82] from Operation: 57+25=82
Current State: 41:[29, 58, 82], Operations: ['57+25=82']
Exploring Operation: 58/29=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 58/29=2
Current State: 41:[82, 2], Operations: ['57+25=82', '58/29=2']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
42,
94,
29,
67
] | 98 | [
"42+94=136",
"67-29=38",
"136-38=98"
] | Current State: 98:[42, 94, 29, 67], Operations: []
Exploring Operation: 42+94=136, Resulting Numbers: [29, 67, 136]
Generated Node #2: [29, 67, 136] from Operation: 42+94=136
Current State: 98:[29, 67, 136], Operations: ['42+94=136']
Exploring Operation: 67-29=38, Resulting Numbers: [136, 38]
Generated Node #3: [136, 38] from Operation: 67-29=38
Current State: 98:[136, 38], Operations: ['42+94=136', '67-29=38']
Exploring Operation: 136-38=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
4,
37,
18,
10
] | 86 | [
"37-18=19",
"4*19=76",
"10+76=86"
] | Current State: 86:[4, 37, 18, 10], Operations: []
Exploring Operation: 37-18=19, Resulting Numbers: [4, 10, 19]
Generated Node #2: [4, 10, 19] from Operation: 37-18=19
Current State: 86:[4, 10, 19], Operations: ['37-18=19']
Exploring Operation: 4*19=76, Resulting Numbers: [10, 76]
Generated Node #3: [10, 76] from Operation: 4*19=76
Current State: 86:[10, 76], Operations: ['37-18=19', '4*19=76']
Exploring Operation: 10+76=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
67,
10,
1,
2
] | 28 | [
"67-10=57",
"57-1=56",
"56/2=28"
] | Current State: 28:[67, 10, 1, 2], Operations: []
Exploring Operation: 67-10=57, Resulting Numbers: [1, 2, 57]
Generated Node #2: [1, 2, 57] from Operation: 67-10=57
Current State: 28:[1, 2, 57], Operations: ['67-10=57']
Exploring Operation: 57-1=56, Resulting Numbers: [2, 56]
Generated Node #3: [2, 56] from Operation: 57-1=56
Current State: 28:[2, 56], Operations: ['67-10=57', '57-1=56']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
6,
28,
95,
27
] | 89 | [
"95-6=89",
"28-27=1",
"89*1=89"
] | Current State: 89:[6, 28, 95, 27], Operations: []
Exploring Operation: 95-6=89, Resulting Numbers: [28, 27, 89]
Generated Node #2: [28, 27, 89] from Operation: 95-6=89
Current State: 89:[28, 27, 89], Operations: ['95-6=89']
Exploring Operation: 28-27=1, Resulting Numbers: [89, 1]
Generated Node #3: [89, 1] from Operation: 28-27=1
Current State: 89:[89, 1], Operations: ['95-6=89', '28-27=1']
Exploring Operation: 89*1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
24,
33,
9,
25
] | 89 | [
"33*25=825",
"825-24=801",
"801/9=89"
] | Current State: 89:[24, 33, 9, 25], Operations: []
Exploring Operation: 33*25=825, Resulting Numbers: [24, 9, 825]
Generated Node #2: [24, 9, 825] from Operation: 33*25=825
Current State: 89:[24, 9, 825], Operations: ['33*25=825']
Exploring Operation: 825-24=801, Resulting Numbers: [9, 801]
Generated Node #3: [9, 801] from Operation: 825-24=801
Current State: 89:[9, 801], Operations: ['33*25=825', '825-24=801']
Exploring Operation: 801/9=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
90,
86,
77,
13
] | 86 | [
"90+86=176",
"77+13=90",
"176-90=86"
] | Current State: 86:[90, 86, 77, 13], Operations: []
Exploring Operation: 90+86=176, Resulting Numbers: [77, 13, 176]
Generated Node #2: [77, 13, 176] from Operation: 90+86=176
Current State: 86:[77, 13, 176], Operations: ['90+86=176']
Exploring Operation: 77+13=90, Resulting Numbers: [176, 90]
Generated Node #3: [176, 90] from Operation: 77+13=90
Current State: 86:[176, 90], Operations: ['90+86=176', '77+13=90']
Exploring Operation: 176-90=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
8,
73,
68,
21
] | 65 | [
"21-8=13",
"73-68=5",
"13*5=65"
] | Current State: 65:[8, 73, 68, 21], Operations: []
Exploring Operation: 21-8=13, Resulting Numbers: [73, 68, 13]
Generated Node #2: [73, 68, 13] from Operation: 21-8=13
Current State: 65:[73, 68, 13], Operations: ['21-8=13']
Exploring Operation: 73-68=5, Resulting Numbers: [13, 5]
Generated Node #3: [13, 5] from Operation: 73-68=5
Current State: 65:[13, 5], Operations: ['21-8=13', '73-68=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
99,
33,
4,
27
] | 93 | [
"99/33=3",
"4+27=31",
"3*31=93"
] | Current State: 93:[99, 33, 4, 27], Operations: []
Exploring Operation: 99/33=3, Resulting Numbers: [4, 27, 3]
Generated Node #2: [4, 27, 3] from Operation: 99/33=3
Current State: 93:[4, 27, 3], Operations: ['99/33=3']
Exploring Operation: 4+27=31, Resulting Numbers: [3, 31]
Generated Node #3: [3, 31] from Operation: 4+27=31
Current State: 93:[3, 31], Operations: ['99/33=3', '4+27=31']
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
29,
19,
67,
76
] | 19 | [
"29-19=10",
"76-67=9",
"10+9=19"
] | Current State: 19:[29, 19, 67, 76], Operations: []
Exploring Operation: 29-19=10, Resulting Numbers: [67, 76, 10]
Generated Node #2: [67, 76, 10] from Operation: 29-19=10
Current State: 19:[67, 76, 10], Operations: ['29-19=10']
Exploring Operation: 76-67=9, Resulting Numbers: [10, 9]
Generated Node #3: [10, 9] from Operation: 76-67=9
Current State: 19:[10, 9], Operations: ['29-19=10', '76-67=9']
Exploring Operation: 10+9=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
15,
98,
18,
19
] | 41 | [
"18-15=3",
"19*3=57",
"98-57=41"
] | Current State: 41:[15, 98, 18, 19], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [98, 19, 3]
Generated Node #2: [98, 19, 3] from Operation: 18-15=3
Current State: 41:[98, 19, 3], Operations: ['18-15=3']
Exploring Operation: 19*3=57, Resulting Numbers: [98, 57]
Generated Node #3: [98, 57] from Operation: 19*3=57
Current State: 41:[98, 57], Operations: ['18-15=3', '19*3=57']
Exploring Operation: 98-57=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
32,
30,
53,
3
] | 48 | [
"32-30=2",
"53-3=50",
"50-2=48"
] | Current State: 48:[32, 30, 53, 3], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [53, 3, 2]
Generated Node #2: [53, 3, 2] from Operation: 32-30=2
Current State: 48:[53, 3, 2], Operations: ['32-30=2']
Exploring Operation: 53-3=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 53-3=50
Current State: 48:[2, 50], Operations: ['32-30=2', '53-3=50']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
71,
18,
15,
17
] | 55 | [
"71-18=53",
"17-15=2",
"53+2=55"
] | Current State: 55:[71, 18, 15, 17], Operations: []
Exploring Operation: 71-18=53, Resulting Numbers: [15, 17, 53]
Generated Node #2: [15, 17, 53] from Operation: 71-18=53
Current State: 55:[15, 17, 53], Operations: ['71-18=53']
Exploring Operation: 17-15=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 17-15=2
Current State: 55:[53, 2], Operations: ['71-18=53', '17-15=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
56,
39,
65,
8
] | 56 | [
"56-39=17",
"65+8=73",
"73-17=56"
] | Current State: 56:[56, 39, 65, 8], Operations: []
Exploring Operation: 56-39=17, Resulting Numbers: [65, 8, 17]
Generated Node #2: [65, 8, 17] from Operation: 56-39=17
Current State: 56:[65, 8, 17], Operations: ['56-39=17']
Exploring Operation: 65+8=73, Resulting Numbers: [17, 73]
Generated Node #3: [17, 73] from Operation: 65+8=73
Current State: 56:[17, 73], Operations: ['56-39=17', '65+8=73']
Exploring Operation: 73-17=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
66,
88,
44,
11
] | 26 | [
"88-66=22",
"44/11=4",
"22+4=26"
] | Current State: 26:[66, 88, 44, 11], Operations: []
Exploring Operation: 88-66=22, Resulting Numbers: [44, 11, 22]
Generated Node #2: [44, 11, 22] from Operation: 88-66=22
Current State: 26:[44, 11, 22], Operations: ['88-66=22']
Exploring Operation: 44/11=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 44/11=4
Current State: 26:[22, 4], Operations: ['88-66=22', '44/11=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
11,
1,
67,
86
] | 14 | [
"1+67=68",
"86+68=154",
"154/11=14"
] | Current State: 14:[11, 1, 67, 86], Operations: []
Exploring Operation: 1+67=68, Resulting Numbers: [11, 86, 68]
Generated Node #2: [11, 86, 68] from Operation: 1+67=68
Current State: 14:[11, 86, 68], Operations: ['1+67=68']
Exploring Operation: 86+68=154, Resulting Numbers: [11, 154]
Generated Node #3: [11, 154] from Operation: 86+68=154
Current State: 14:[11, 154], Operations: ['1+67=68', '86+68=154']
Exploring Operation: 154/11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
3,
46,
41,
14
] | 45 | [
"3*14=42",
"46+41=87",
"87-42=45"
] | Current State: 45:[3, 46, 41, 14], Operations: []
Exploring Operation: 3*14=42, Resulting Numbers: [46, 41, 42]
Generated Node #2: [46, 41, 42] from Operation: 3*14=42
Current State: 45:[46, 41, 42], Operations: ['3*14=42']
Exploring Operation: 46+41=87, Resulting Numbers: [42, 87]
Generated Node #3: [42, 87] from Operation: 46+41=87
Current State: 45:[42, 87], Operations: ['3*14=42', '46+41=87']
Exploring Operation: 87-42=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
44,
63,
22,
54
] | 31 | [
"44+63=107",
"22+54=76",
"107-76=31"
] | Current State: 31:[44, 63, 22, 54], Operations: []
Exploring Operation: 44+63=107, Resulting Numbers: [22, 54, 107]
Generated Node #2: [22, 54, 107] from Operation: 44+63=107
Current State: 31:[22, 54, 107], Operations: ['44+63=107']
Exploring Operation: 22+54=76, Resulting Numbers: [107, 76]
Generated Node #3: [107, 76] from Operation: 22+54=76
Current State: 31:[107, 76], Operations: ['44+63=107', '22+54=76']
Exploring Operation: 107-76=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
51,
63,
26,
99
] | 81 | [
"51+26=77",
"63*99=6237",
"6237/77=81"
] | Current State: 81:[51, 63, 26, 99], Operations: []
Exploring Operation: 51+26=77, Resulting Numbers: [63, 99, 77]
Generated Node #2: [63, 99, 77] from Operation: 51+26=77
Current State: 81:[63, 99, 77], Operations: ['51+26=77']
Exploring Operation: 63*99=6237, Resulting Numbers: [77, 6237]
Generated Node #3: [77, 6237] from Operation: 63*99=6237
Current State: 81:[77, 6237], Operations: ['51+26=77', '63*99=6237']
Exploring Operation: 6237/77=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
19,
10,
61,
49
] | 81 | [
"19+10=29",
"61+49=110",
"110-29=81"
] | Current State: 81:[19, 10, 61, 49], Operations: []
Exploring Operation: 19+10=29, Resulting Numbers: [61, 49, 29]
Generated Node #2: [61, 49, 29] from Operation: 19+10=29
Current State: 81:[61, 49, 29], Operations: ['19+10=29']
Exploring Operation: 61+49=110, Resulting Numbers: [29, 110]
Generated Node #3: [29, 110] from Operation: 61+49=110
Current State: 81:[29, 110], Operations: ['19+10=29', '61+49=110']
Exploring Operation: 110-29=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
2,
76,
49,
37
] | 91 | [
"76-49=27",
"2*27=54",
"37+54=91"
] | Current State: 91:[2, 76, 49, 37], Operations: []
Exploring Operation: 76-49=27, Resulting Numbers: [2, 37, 27]
Generated Node #2: [2, 37, 27] from Operation: 76-49=27
Current State: 91:[2, 37, 27], Operations: ['76-49=27']
Exploring Operation: 2*27=54, Resulting Numbers: [37, 54]
Generated Node #3: [37, 54] from Operation: 2*27=54
Current State: 91:[37, 54], Operations: ['76-49=27', '2*27=54']
Exploring Operation: 37+54=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
91,
61,
96,
83
] | 43 | [
"91-61=30",
"96-83=13",
"30+13=43"
] | Current State: 43:[91, 61, 96, 83], Operations: []
Exploring Operation: 91-61=30, Resulting Numbers: [96, 83, 30]
Generated Node #2: [96, 83, 30] from Operation: 91-61=30
Current State: 43:[96, 83, 30], Operations: ['91-61=30']
Exploring Operation: 96-83=13, Resulting Numbers: [30, 13]
Generated Node #3: [30, 13] from Operation: 96-83=13
Current State: 43:[30, 13], Operations: ['91-61=30', '96-83=13']
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
14,
81,
76,
7
] | 86 | [
"14*81=1134",
"1134/7=162",
"162-76=86"
] | Current State: 86:[14, 81, 76, 7], Operations: []
Exploring Operation: 14*81=1134, Resulting Numbers: [76, 7, 1134]
Generated Node #2: [76, 7, 1134] from Operation: 14*81=1134
Current State: 86:[76, 7, 1134], Operations: ['14*81=1134']
Exploring Operation: 1134/7=162, Resulting Numbers: [76, 162]
Generated Node #3: [76, 162] from Operation: 1134/7=162
Current State: 86:[76, 162], Operations: ['14*81=1134', '1134/7=162']
Exploring Operation: 162-76=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
72,
68,
62,
62
] | 16 | [
"72+68=140",
"62+62=124",
"140-124=16"
] | Current State: 16:[72, 68, 62, 62], Operations: []
Exploring Operation: 72+68=140, Resulting Numbers: [62, 62, 140]
Generated Node #2: [62, 62, 140] from Operation: 72+68=140
Current State: 16:[62, 62, 140], Operations: ['72+68=140']
Exploring Operation: 62+62=124, Resulting Numbers: [140, 124]
Generated Node #3: [140, 124] from Operation: 62+62=124
Current State: 16:[140, 124], Operations: ['72+68=140', '62+62=124']
Exploring Operation: 140-124=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
77,
40,
20,
44
] | 31 | [
"77-44=33",
"40/20=2",
"33-2=31"
] | Current State: 31:[77, 40, 20, 44], Operations: []
Exploring Operation: 77-44=33, Resulting Numbers: [40, 20, 33]
Generated Node #2: [40, 20, 33] from Operation: 77-44=33
Current State: 31:[40, 20, 33], Operations: ['77-44=33']
Exploring Operation: 40/20=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 40/20=2
Current State: 31:[33, 2], Operations: ['77-44=33', '40/20=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
76,
62,
27,
71
] | 84 | [
"76-62=14",
"27+71=98",
"98-14=84"
] | Current State: 84:[76, 62, 27, 71], Operations: []
Exploring Operation: 76-62=14, Resulting Numbers: [27, 71, 14]
Generated Node #2: [27, 71, 14] from Operation: 76-62=14
Current State: 84:[27, 71, 14], Operations: ['76-62=14']
Exploring Operation: 27+71=98, Resulting Numbers: [14, 98]
Generated Node #3: [14, 98] from Operation: 27+71=98
Current State: 84:[14, 98], Operations: ['76-62=14', '27+71=98']
Exploring Operation: 98-14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
7,
31,
14,
93
] | 63 | [
"7+14=21",
"93/31=3",
"21*3=63"
] | Current State: 63:[7, 31, 14, 93], Operations: []
Exploring Operation: 7+14=21, Resulting Numbers: [31, 93, 21]
Generated Node #2: [31, 93, 21] from Operation: 7+14=21
Current State: 63:[31, 93, 21], Operations: ['7+14=21']
Exploring Operation: 93/31=3, Resulting Numbers: [21, 3]
Generated Node #3: [21, 3] from Operation: 93/31=3
Current State: 63:[21, 3], Operations: ['7+14=21', '93/31=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
79,
44,
25,
13
] | 47 | [
"79-44=35",
"25-13=12",
"35+12=47"
] | Current State: 47:[79, 44, 25, 13], Operations: []
Exploring Operation: 79-44=35, Resulting Numbers: [25, 13, 35]
Generated Node #2: [25, 13, 35] from Operation: 79-44=35
Current State: 47:[25, 13, 35], Operations: ['79-44=35']
Exploring Operation: 25-13=12, Resulting Numbers: [35, 12]
Generated Node #3: [35, 12] from Operation: 25-13=12
Current State: 47:[35, 12], Operations: ['79-44=35', '25-13=12']
Exploring Operation: 35+12=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
70,
3,
39,
30
] | 58 | [
"70-3=67",
"39-30=9",
"67-9=58"
] | Current State: 58:[70, 3, 39, 30], Operations: []
Exploring Operation: 70-3=67, Resulting Numbers: [39, 30, 67]
Generated Node #2: [39, 30, 67] from Operation: 70-3=67
Current State: 58:[39, 30, 67], Operations: ['70-3=67']
Exploring Operation: 39-30=9, Resulting Numbers: [67, 9]
Generated Node #3: [67, 9] from Operation: 39-30=9
Current State: 58:[67, 9], Operations: ['70-3=67', '39-30=9']
Exploring Operation: 67-9=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
42,
93,
33,
59
] | 41 | [
"93-42=51",
"33+59=92",
"92-51=41"
] | Current State: 41:[42, 93, 33, 59], Operations: []
Exploring Operation: 93-42=51, Resulting Numbers: [33, 59, 51]
Generated Node #2: [33, 59, 51] from Operation: 93-42=51
Current State: 41:[33, 59, 51], Operations: ['93-42=51']
Exploring Operation: 33+59=92, Resulting Numbers: [51, 92]
Generated Node #3: [51, 92] from Operation: 33+59=92
Current State: 41:[51, 92], Operations: ['93-42=51', '33+59=92']
Exploring Operation: 92-51=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
19,
40,
72,
35
] | 16 | [
"40-19=21",
"72-35=37",
"37-21=16"
] | Current State: 16:[19, 40, 72, 35], Operations: []
Exploring Operation: 40-19=21, Resulting Numbers: [72, 35, 21]
Generated Node #2: [72, 35, 21] from Operation: 40-19=21
Current State: 16:[72, 35, 21], Operations: ['40-19=21']
Exploring Operation: 72-35=37, Resulting Numbers: [21, 37]
Generated Node #3: [21, 37] from Operation: 72-35=37
Current State: 16:[21, 37], Operations: ['40-19=21', '72-35=37']
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
34,
52,
62,
23
] | 21 | [
"52-34=18",
"62-23=39",
"39-18=21"
] | Current State: 21:[34, 52, 62, 23], Operations: []
Exploring Operation: 52-34=18, Resulting Numbers: [62, 23, 18]
Generated Node #2: [62, 23, 18] from Operation: 52-34=18
Current State: 21:[62, 23, 18], Operations: ['52-34=18']
Exploring Operation: 62-23=39, Resulting Numbers: [18, 39]
Generated Node #3: [18, 39] from Operation: 62-23=39
Current State: 21:[18, 39], Operations: ['52-34=18', '62-23=39']
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
8,
50,
23,
80
] | 37 | [
"80/8=10",
"50-23=27",
"10+27=37"
] | Current State: 37:[8, 50, 23, 80], Operations: []
Exploring Operation: 80/8=10, Resulting Numbers: [50, 23, 10]
Generated Node #2: [50, 23, 10] from Operation: 80/8=10
Current State: 37:[50, 23, 10], Operations: ['80/8=10']
Exploring Operation: 50-23=27, Resulting Numbers: [10, 27]
Generated Node #3: [10, 27] from Operation: 50-23=27
Current State: 37:[10, 27], Operations: ['80/8=10', '50-23=27']
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
56,
89,
89,
44
] | 56 | [
"89-89=0",
"44*0=0",
"56+0=56"
] | Current State: 56:[56, 89, 89, 44], Operations: []
Exploring Operation: 89-89=0, Resulting Numbers: [56, 44, 0]
Generated Node #2: [56, 44, 0] from Operation: 89-89=0
Current State: 56:[56, 44, 0], Operations: ['89-89=0']
Exploring Operation: 44*0=0, Resulting Numbers: [56, 0]
Generated Node #3: [56, 0] from Operation: 44*0=0
Current State: 56:[56, 0], Operations: ['89-89=0', '44*0=0']
Exploring Operation: 56+0=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
11,
6,
33,
73
] | 55 | [
"33/11=3",
"6*3=18",
"73-18=55"
] | Current State: 55:[11, 6, 33, 73], Operations: []
Exploring Operation: 33/11=3, Resulting Numbers: [6, 73, 3]
Generated Node #2: [6, 73, 3] from Operation: 33/11=3
Current State: 55:[6, 73, 3], Operations: ['33/11=3']
Exploring Operation: 6*3=18, Resulting Numbers: [73, 18]
Generated Node #3: [73, 18] from Operation: 6*3=18
Current State: 55:[73, 18], Operations: ['33/11=3', '6*3=18']
Exploring Operation: 73-18=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
19,
48,
16,
92
] | 47 | [
"48-19=29",
"92-16=76",
"76-29=47"
] | Current State: 47:[19, 48, 16, 92], Operations: []
Exploring Operation: 48-19=29, Resulting Numbers: [16, 92, 29]
Generated Node #2: [16, 92, 29] from Operation: 48-19=29
Current State: 47:[16, 92, 29], Operations: ['48-19=29']
Exploring Operation: 92-16=76, Resulting Numbers: [29, 76]
Generated Node #3: [29, 76] from Operation: 92-16=76
Current State: 47:[29, 76], Operations: ['48-19=29', '92-16=76']
Exploring Operation: 76-29=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
34,
33,
2,
22
] | 21 | [
"34-33=1",
"22-2=20",
"1+20=21"
] | Current State: 21:[34, 33, 2, 22], Operations: []
Exploring Operation: 34-33=1, Resulting Numbers: [2, 22, 1]
Generated Node #2: [2, 22, 1] from Operation: 34-33=1
Current State: 21:[2, 22, 1], Operations: ['34-33=1']
Exploring Operation: 22-2=20, Resulting Numbers: [1, 20]
Generated Node #3: [1, 20] from Operation: 22-2=20
Current State: 21:[1, 20], Operations: ['34-33=1', '22-2=20']
Exploring Operation: 1+20=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
81,
2,
94,
24
] | 20 | [
"81-24=57",
"2*57=114",
"114-94=20"
] | Current State: 20:[81, 2, 94, 24], Operations: []
Exploring Operation: 81-24=57, Resulting Numbers: [2, 94, 57]
Generated Node #2: [2, 94, 57] from Operation: 81-24=57
Current State: 20:[2, 94, 57], Operations: ['81-24=57']
Exploring Operation: 2*57=114, Resulting Numbers: [94, 114]
Generated Node #3: [94, 114] from Operation: 2*57=114
Current State: 20:[94, 114], Operations: ['81-24=57', '2*57=114']
Exploring Operation: 114-94=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
15,
18,
53,
38
] | 88 | [
"18-15=3",
"53+38=91",
"91-3=88"
] | Current State: 88:[15, 18, 53, 38], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [53, 38, 3]
Generated Node #2: [53, 38, 3] from Operation: 18-15=3
Current State: 88:[53, 38, 3], Operations: ['18-15=3']
Exploring Operation: 53+38=91, Resulting Numbers: [3, 91]
Generated Node #3: [3, 91] from Operation: 53+38=91
Current State: 88:[3, 91], Operations: ['18-15=3', '53+38=91']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
56,
13,
60,
52
] | 91 | [
"56*13=728",
"60-52=8",
"728/8=91"
] | Current State: 91:[56, 13, 60, 52], Operations: []
Exploring Operation: 56*13=728, Resulting Numbers: [60, 52, 728]
Generated Node #2: [60, 52, 728] from Operation: 56*13=728
Current State: 91:[60, 52, 728], Operations: ['56*13=728']
Exploring Operation: 60-52=8, Resulting Numbers: [728, 8]
Generated Node #3: [728, 8] from Operation: 60-52=8
Current State: 91:[728, 8], Operations: ['56*13=728', '60-52=8']
Exploring Operation: 728/8=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
18,
25,
53,
9
] | 87 | [
"18+25=43",
"53-9=44",
"43+44=87"
] | Current State: 87:[18, 25, 53, 9], Operations: []
Exploring Operation: 18+25=43, Resulting Numbers: [53, 9, 43]
Generated Node #2: [53, 9, 43] from Operation: 18+25=43
Current State: 87:[53, 9, 43], Operations: ['18+25=43']
Exploring Operation: 53-9=44, Resulting Numbers: [43, 44]
Generated Node #3: [43, 44] from Operation: 53-9=44
Current State: 87:[43, 44], Operations: ['18+25=43', '53-9=44']
Exploring Operation: 43+44=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
13,
97,
63,
90
] | 69 | [
"97-13=84",
"63+90=153",
"153-84=69"
] | Current State: 69:[13, 97, 63, 90], Operations: []
Exploring Operation: 97-13=84, Resulting Numbers: [63, 90, 84]
Generated Node #2: [63, 90, 84] from Operation: 97-13=84
Current State: 69:[63, 90, 84], Operations: ['97-13=84']
Exploring Operation: 63+90=153, Resulting Numbers: [84, 153]
Generated Node #3: [84, 153] from Operation: 63+90=153
Current State: 69:[84, 153], Operations: ['97-13=84', '63+90=153']
Exploring Operation: 153-84=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
88,
33,
72,
15
] | 34 | [
"88+33=121",
"72+15=87",
"121-87=34"
] | Current State: 34:[88, 33, 72, 15], Operations: []
Exploring Operation: 88+33=121, Resulting Numbers: [72, 15, 121]
Generated Node #2: [72, 15, 121] from Operation: 88+33=121
Current State: 34:[72, 15, 121], Operations: ['88+33=121']
Exploring Operation: 72+15=87, Resulting Numbers: [121, 87]
Generated Node #3: [121, 87] from Operation: 72+15=87
Current State: 34:[121, 87], Operations: ['88+33=121', '72+15=87']
Exploring Operation: 121-87=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
20,
8,
87,
20
] | 93 | [
"20*8=160",
"87-20=67",
"160-67=93"
] | Current State: 93:[20, 8, 87, 20], Operations: []
Exploring Operation: 20*8=160, Resulting Numbers: [87, 160]
Generated Node #2: [87, 160] from Operation: 20*8=160
Current State: 93:[87, 160], Operations: ['20*8=160']
Exploring Operation: 87-20=67, Resulting Numbers: [160, 67]
Generated Node #3: [160, 67] from Operation: 87-20=67
Current State: 93:[160, 67], Operations: ['20*8=160', '87-20=67']
Exploring Operation: 160-67=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
79,
7,
6,
89
] | 76 | [
"89-79=10",
"7*10=70",
"6+70=76"
] | Current State: 76:[79, 7, 6, 89], Operations: []
Exploring Operation: 89-79=10, Resulting Numbers: [7, 6, 10]
Generated Node #2: [7, 6, 10] from Operation: 89-79=10
Current State: 76:[7, 6, 10], Operations: ['89-79=10']
Exploring Operation: 7*10=70, Resulting Numbers: [6, 70]
Generated Node #3: [6, 70] from Operation: 7*10=70
Current State: 76:[6, 70], Operations: ['89-79=10', '7*10=70']
Exploring Operation: 6+70=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
6,
1,
54,
29
] | 88 | [
"6-1=5",
"54+29=83",
"5+83=88"
] | Current State: 88:[6, 1, 54, 29], Operations: []
Exploring Operation: 6-1=5, Resulting Numbers: [54, 29, 5]
Generated Node #2: [54, 29, 5] from Operation: 6-1=5
Current State: 88:[54, 29, 5], Operations: ['6-1=5']
Exploring Operation: 54+29=83, Resulting Numbers: [5, 83]
Generated Node #3: [5, 83] from Operation: 54+29=83
Current State: 88:[5, 83], Operations: ['6-1=5', '54+29=83']
Exploring Operation: 5+83=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
2,
50,
44,
62
] | 81 | [
"50/2=25",
"44+62=106",
"106-25=81"
] | Current State: 81:[2, 50, 44, 62], Operations: []
Exploring Operation: 50/2=25, Resulting Numbers: [44, 62, 25]
Generated Node #2: [44, 62, 25] from Operation: 50/2=25
Current State: 81:[44, 62, 25], Operations: ['50/2=25']
Exploring Operation: 44+62=106, Resulting Numbers: [25, 106]
Generated Node #3: [25, 106] from Operation: 44+62=106
Current State: 81:[25, 106], Operations: ['50/2=25', '44+62=106']
Exploring Operation: 106-25=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
50,
53,
47,
19
] | 22 | [
"53-50=3",
"47+19=66",
"66/3=22"
] | Current State: 22:[50, 53, 47, 19], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [47, 19, 3]
Generated Node #2: [47, 19, 3] from Operation: 53-50=3
Current State: 22:[47, 19, 3], Operations: ['53-50=3']
Exploring Operation: 47+19=66, Resulting Numbers: [3, 66]
Generated Node #3: [3, 66] from Operation: 47+19=66
Current State: 22:[3, 66], Operations: ['53-50=3', '47+19=66']
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
54,
40,
92,
5
] | 54 | [
"54+92=146",
"40*5=200",
"200-146=54"
] | Current State: 54:[54, 40, 92, 5], Operations: []
Exploring Operation: 54+92=146, Resulting Numbers: [40, 5, 146]
Generated Node #2: [40, 5, 146] from Operation: 54+92=146
Current State: 54:[40, 5, 146], Operations: ['54+92=146']
Exploring Operation: 40*5=200, Resulting Numbers: [146, 200]
Generated Node #3: [146, 200] from Operation: 40*5=200
Current State: 54:[146, 200], Operations: ['54+92=146', '40*5=200']
Exploring Operation: 200-146=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
23,
92,
26,
69
] | 20 | [
"23+92=115",
"26+69=95",
"115-95=20"
] | Current State: 20:[23, 92, 26, 69], Operations: []
Exploring Operation: 23+92=115, Resulting Numbers: [26, 69, 115]
Generated Node #2: [26, 69, 115] from Operation: 23+92=115
Current State: 20:[26, 69, 115], Operations: ['23+92=115']
Exploring Operation: 26+69=95, Resulting Numbers: [115, 95]
Generated Node #3: [115, 95] from Operation: 26+69=95
Current State: 20:[115, 95], Operations: ['23+92=115', '26+69=95']
Exploring Operation: 115-95=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
6,
35,
82,
92
] | 51 | [
"6+35=41",
"92-82=10",
"41+10=51"
] | Current State: 51:[6, 35, 82, 92], Operations: []
Exploring Operation: 6+35=41, Resulting Numbers: [82, 92, 41]
Generated Node #2: [82, 92, 41] from Operation: 6+35=41
Current State: 51:[82, 92, 41], Operations: ['6+35=41']
Exploring Operation: 92-82=10, Resulting Numbers: [41, 10]
Generated Node #3: [41, 10] from Operation: 92-82=10
Current State: 51:[41, 10], Operations: ['6+35=41', '92-82=10']
Exploring Operation: 41+10=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
80,
71,
1,
66
] | 20 | [
"71-1=70",
"70-66=4",
"80/4=20"
] | Current State: 20:[80, 71, 1, 66], Operations: []
Exploring Operation: 71-1=70, Resulting Numbers: [80, 66, 70]
Generated Node #2: [80, 66, 70] from Operation: 71-1=70
Current State: 20:[80, 66, 70], Operations: ['71-1=70']
Exploring Operation: 70-66=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 70-66=4
Current State: 20:[80, 4], Operations: ['71-1=70', '70-66=4']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
23,
48,
80,
45
] | 11 | [
"48-45=3",
"23*3=69",
"80-69=11"
] | Current State: 11:[23, 48, 80, 45], Operations: []
Exploring Operation: 48-45=3, Resulting Numbers: [23, 80, 3]
Generated Node #2: [23, 80, 3] from Operation: 48-45=3
Current State: 11:[23, 80, 3], Operations: ['48-45=3']
Exploring Operation: 23*3=69, Resulting Numbers: [80, 69]
Generated Node #3: [80, 69] from Operation: 23*3=69
Current State: 11:[80, 69], Operations: ['48-45=3', '23*3=69']
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
68,
41,
13,
11
] | 34 | [
"68+41=109",
"13*11=143",
"143-109=34"
] | Current State: 34:[68, 41, 13, 11], Operations: []
Exploring Operation: 68+41=109, Resulting Numbers: [13, 11, 109]
Generated Node #2: [13, 11, 109] from Operation: 68+41=109
Current State: 34:[13, 11, 109], Operations: ['68+41=109']
Exploring Operation: 13*11=143, Resulting Numbers: [109, 143]
Generated Node #3: [109, 143] from Operation: 13*11=143
Current State: 34:[109, 143], Operations: ['68+41=109', '13*11=143']
Exploring Operation: 143-109=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
37,
4,
97,
75
] | 63 | [
"37+4=41",
"97-75=22",
"41+22=63"
] | Current State: 63:[37, 4, 97, 75], Operations: []
Exploring Operation: 37+4=41, Resulting Numbers: [97, 75, 41]
Generated Node #2: [97, 75, 41] from Operation: 37+4=41
Current State: 63:[97, 75, 41], Operations: ['37+4=41']
Exploring Operation: 97-75=22, Resulting Numbers: [41, 22]
Generated Node #3: [41, 22] from Operation: 97-75=22
Current State: 63:[41, 22], Operations: ['37+4=41', '97-75=22']
Exploring Operation: 41+22=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
62,
68,
16,
86
] | 28 | [
"62+68=130",
"16+86=102",
"130-102=28"
] | Current State: 28:[62, 68, 16, 86], Operations: []
Exploring Operation: 62+68=130, Resulting Numbers: [16, 86, 130]
Generated Node #2: [16, 86, 130] from Operation: 62+68=130
Current State: 28:[16, 86, 130], Operations: ['62+68=130']
Exploring Operation: 16+86=102, Resulting Numbers: [130, 102]
Generated Node #3: [130, 102] from Operation: 16+86=102
Current State: 28:[130, 102], Operations: ['62+68=130', '16+86=102']
Exploring Operation: 130-102=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
3,
10,
51,
88
] | 61 | [
"51/3=17",
"88-10=78",
"78-17=61"
] | Current State: 61:[3, 10, 51, 88], Operations: []
Exploring Operation: 51/3=17, Resulting Numbers: [10, 88, 17]
Generated Node #2: [10, 88, 17] from Operation: 51/3=17
Current State: 61:[10, 88, 17], Operations: ['51/3=17']
Exploring Operation: 88-10=78, Resulting Numbers: [17, 78]
Generated Node #3: [17, 78] from Operation: 88-10=78
Current State: 61:[17, 78], Operations: ['51/3=17', '88-10=78']
Exploring Operation: 78-17=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
72,
76,
35,
4
] | 37 | [
"76*35=2660",
"4+2660=2664",
"2664/72=37"
] | Current State: 37:[72, 76, 35, 4], Operations: []
Exploring Operation: 76*35=2660, Resulting Numbers: [72, 4, 2660]
Generated Node #2: [72, 4, 2660] from Operation: 76*35=2660
Current State: 37:[72, 4, 2660], Operations: ['76*35=2660']
Exploring Operation: 4+2660=2664, Resulting Numbers: [72, 2664]
Generated Node #3: [72, 2664] from Operation: 4+2660=2664
Current State: 37:[72, 2664], Operations: ['76*35=2660', '4+2660=2664']
Exploring Operation: 2664/72=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
35,
1,
36,
21
] | 91 | [
"35-1=34",
"36+21=57",
"34+57=91"
] | Current State: 91:[35, 1, 36, 21], Operations: []
Exploring Operation: 35-1=34, Resulting Numbers: [36, 21, 34]
Generated Node #2: [36, 21, 34] from Operation: 35-1=34
Current State: 91:[36, 21, 34], Operations: ['35-1=34']
Exploring Operation: 36+21=57, Resulting Numbers: [34, 57]
Generated Node #3: [34, 57] from Operation: 36+21=57
Current State: 91:[34, 57], Operations: ['35-1=34', '36+21=57']
Exploring Operation: 34+57=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
68,
98,
33,
55
] | 50 | [
"98-68=30",
"55*30=1650",
"1650/33=50"
] | Current State: 50:[68, 98, 33, 55], Operations: []
Exploring Operation: 98-68=30, Resulting Numbers: [33, 55, 30]
Generated Node #2: [33, 55, 30] from Operation: 98-68=30
Current State: 50:[33, 55, 30], Operations: ['98-68=30']
Exploring Operation: 55*30=1650, Resulting Numbers: [33, 1650]
Generated Node #3: [33, 1650] from Operation: 55*30=1650
Current State: 50:[33, 1650], Operations: ['98-68=30', '55*30=1650']
Exploring Operation: 1650/33=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
58,
76,
40,
61
] | 59 | [
"76+40=116",
"116/58=2",
"61-2=59"
] | Current State: 59:[58, 76, 40, 61], Operations: []
Exploring Operation: 76+40=116, Resulting Numbers: [58, 61, 116]
Generated Node #2: [58, 61, 116] from Operation: 76+40=116
Current State: 59:[58, 61, 116], Operations: ['76+40=116']
Exploring Operation: 116/58=2, Resulting Numbers: [61, 2]
Generated Node #3: [61, 2] from Operation: 116/58=2
Current State: 59:[61, 2], Operations: ['76+40=116', '116/58=2']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
42,
80,
45,
70
] | 84 | [
"42*70=2940",
"80-45=35",
"2940/35=84"
] | Current State: 84:[42, 80, 45, 70], Operations: []
Exploring Operation: 42*70=2940, Resulting Numbers: [80, 45, 2940]
Generated Node #2: [80, 45, 2940] from Operation: 42*70=2940
Current State: 84:[80, 45, 2940], Operations: ['42*70=2940']
Exploring Operation: 80-45=35, Resulting Numbers: [2940, 35]
Generated Node #3: [2940, 35] from Operation: 80-45=35
Current State: 84:[2940, 35], Operations: ['42*70=2940', '80-45=35']
Exploring Operation: 2940/35=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
11,
31,
59,
13
] | 52 | [
"31-11=20",
"59+13=72",
"72-20=52"
] | Current State: 52:[11, 31, 59, 13], Operations: []
Exploring Operation: 31-11=20, Resulting Numbers: [59, 13, 20]
Generated Node #2: [59, 13, 20] from Operation: 31-11=20
Current State: 52:[59, 13, 20], Operations: ['31-11=20']
Exploring Operation: 59+13=72, Resulting Numbers: [20, 72]
Generated Node #3: [20, 72] from Operation: 59+13=72
Current State: 52:[20, 72], Operations: ['31-11=20', '59+13=72']
Exploring Operation: 72-20=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
37,
43,
6,
79
] | 91 | [
"43-37=6",
"6+79=85",
"6+85=91"
] | Current State: 91:[37, 43, 6, 79], Operations: []
Exploring Operation: 43-37=6, Resulting Numbers: [6, 79, 6]
Generated Node #2: [6, 79, 6] from Operation: 43-37=6
Current State: 91:[6, 79, 6], Operations: ['43-37=6']
Exploring Operation: 6+79=85, Resulting Numbers: [85]
85,91 equal: Goal Reached
Exploring Operation: 6+85=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
8,
56,
48,
10
] | 45 | [
"56/8=7",
"48-10=38",
"7+38=45"
] | Current State: 45:[8, 56, 48, 10], Operations: []
Exploring Operation: 56/8=7, Resulting Numbers: [48, 10, 7]
Generated Node #2: [48, 10, 7] from Operation: 56/8=7
Current State: 45:[48, 10, 7], Operations: ['56/8=7']
Exploring Operation: 48-10=38, Resulting Numbers: [7, 38]
Generated Node #3: [7, 38] from Operation: 48-10=38
Current State: 45:[7, 38], Operations: ['56/8=7', '48-10=38']
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
18,
6,
13,
42
] | 73 | [
"42/6=7",
"13*7=91",
"91-18=73"
] | Current State: 73:[18, 6, 13, 42], Operations: []
Exploring Operation: 42/6=7, Resulting Numbers: [18, 13, 7]
Generated Node #2: [18, 13, 7] from Operation: 42/6=7
Current State: 73:[18, 13, 7], Operations: ['42/6=7']
Exploring Operation: 13*7=91, Resulting Numbers: [18, 91]
Generated Node #3: [18, 91] from Operation: 13*7=91
Current State: 73:[18, 91], Operations: ['42/6=7', '13*7=91']
Exploring Operation: 91-18=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
5,
9,
58,
28
] | 60 | [
"5+9=14",
"28/14=2",
"58+2=60"
] | Current State: 60:[5, 9, 58, 28], Operations: []
Exploring Operation: 5+9=14, Resulting Numbers: [58, 28, 14]
Generated Node #2: [58, 28, 14] from Operation: 5+9=14
Current State: 60:[58, 28, 14], Operations: ['5+9=14']
Exploring Operation: 28/14=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 28/14=2
Current State: 60:[58, 2], Operations: ['5+9=14', '28/14=2']
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
22,
29,
8,
4
] | 52 | [
"29-22=7",
"8*7=56",
"56-4=52"
] | Current State: 52:[22, 29, 8, 4], Operations: []
Exploring Operation: 29-22=7, Resulting Numbers: [8, 4, 7]
Generated Node #2: [8, 4, 7] from Operation: 29-22=7
Current State: 52:[8, 4, 7], Operations: ['29-22=7']
Exploring Operation: 8*7=56, Resulting Numbers: [4, 56]
Generated Node #3: [4, 56] from Operation: 8*7=56
Current State: 52:[4, 56], Operations: ['29-22=7', '8*7=56']
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
68,
47,
5,
66
] | 21 | [
"68-66=2",
"47-5=42",
"42/2=21"
] | Current State: 21:[68, 47, 5, 66], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [47, 5, 2]
Generated Node #2: [47, 5, 2] from Operation: 68-66=2
Current State: 21:[47, 5, 2], Operations: ['68-66=2']
Exploring Operation: 47-5=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 47-5=42
Current State: 21:[2, 42], Operations: ['68-66=2', '47-5=42']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
88,
65,
17,
83
] | 77 | [
"88-65=23",
"17+83=100",
"100-23=77"
] | Current State: 77:[88, 65, 17, 83], Operations: []
Exploring Operation: 88-65=23, Resulting Numbers: [17, 83, 23]
Generated Node #2: [17, 83, 23] from Operation: 88-65=23
Current State: 77:[17, 83, 23], Operations: ['88-65=23']
Exploring Operation: 17+83=100, Resulting Numbers: [23, 100]
Generated Node #3: [23, 100] from Operation: 17+83=100
Current State: 77:[23, 100], Operations: ['88-65=23', '17+83=100']
Exploring Operation: 100-23=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
62,
92,
37,
67
] | 50 | [
"62+92=154",
"37+67=104",
"154-104=50"
] | Current State: 50:[62, 92, 37, 67], Operations: []
Exploring Operation: 62+92=154, Resulting Numbers: [37, 67, 154]
Generated Node #2: [37, 67, 154] from Operation: 62+92=154
Current State: 50:[37, 67, 154], Operations: ['62+92=154']
Exploring Operation: 37+67=104, Resulting Numbers: [154, 104]
Generated Node #3: [154, 104] from Operation: 37+67=104
Current State: 50:[154, 104], Operations: ['62+92=154', '37+67=104']
Exploring Operation: 154-104=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
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