nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
96,
9,
48,
34
] | 45 | [
"96/48=2",
"9+34=43",
"2+43=45"
] | Current State: 45:[96, 9, 48, 34], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [9, 34, 2]
Generated Node #2: [9, 34, 2] from Operation: 96/48=2
Current State: 45:[9, 34, 2], Operations: ['96/48=2']
Exploring Operation: 9+34=43, Resulting Numbers: [2, 43]
Generated Node #3: [2, 43] from Operation: 9+34=43
Current State: 45:[2, 43], Operations: ['96/48=2', '9+34=43']
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
38,
50,
9,
49
] | 29 | [
"38-9=29",
"50-49=1",
"29*1=29"
] | Current State: 29:[38, 50, 9, 49], Operations: []
Exploring Operation: 38-9=29, Resulting Numbers: [50, 49, 29]
Generated Node #2: [50, 49, 29] from Operation: 38-9=29
Current State: 29:[50, 49, 29], Operations: ['38-9=29']
Exploring Operation: 50-49=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 50-49=1
Current State: 29:[29, 1], Operations: ['38-9=29', '50-49=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
40,
72,
57,
2
] | 48 | [
"40-2=38",
"72*38=2736",
"2736/57=48"
] | Current State: 48:[40, 72, 57, 2], Operations: []
Exploring Operation: 40-2=38, Resulting Numbers: [72, 57, 38]
Generated Node #2: [72, 57, 38] from Operation: 40-2=38
Current State: 48:[72, 57, 38], Operations: ['40-2=38']
Exploring Operation: 72*38=2736, Resulting Numbers: [57, 2736]
Generated Node #3: [57, 2736] from Operation: 72*38=2736
Current State: 48:[57, 2736], Operations: ['40-2=38', '72*38=2736']
Exploring Operation: 2736/57=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
88,
8,
32,
28
] | 35 | [
"88-32=56",
"56/8=7",
"28+7=35"
] | Current State: 35:[88, 8, 32, 28], Operations: []
Exploring Operation: 88-32=56, Resulting Numbers: [8, 28, 56]
Generated Node #2: [8, 28, 56] from Operation: 88-32=56
Current State: 35:[8, 28, 56], Operations: ['88-32=56']
Exploring Operation: 56/8=7, Resulting Numbers: [28, 7]
Generated Node #3: [28, 7] from Operation: 56/8=7
Current State: 35:[28, 7], Operations: ['88-32=56', '56/8=7']
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
13,
50,
37,
9
] | 31 | [
"13*37=481",
"50*9=450",
"481-450=31"
] | Current State: 31:[13, 50, 37, 9], Operations: []
Exploring Operation: 13*37=481, Resulting Numbers: [50, 9, 481]
Generated Node #2: [50, 9, 481] from Operation: 13*37=481
Current State: 31:[50, 9, 481], Operations: ['13*37=481']
Exploring Operation: 50*9=450, Resulting Numbers: [481, 450]
Generated Node #3: [481, 450] from Operation: 50*9=450
Current State: 31:[481, 450], Operations: ['13*37=481', '50*9=450']
Exploring Operation: 481-450=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
50,
97,
54,
2
] | 91 | [
"50+97=147",
"54+2=56",
"147-56=91"
] | Current State: 91:[50, 97, 54, 2], Operations: []
Exploring Operation: 50+97=147, Resulting Numbers: [54, 2, 147]
Generated Node #2: [54, 2, 147] from Operation: 50+97=147
Current State: 91:[54, 2, 147], Operations: ['50+97=147']
Exploring Operation: 54+2=56, Resulting Numbers: [147, 56]
Generated Node #3: [147, 56] from Operation: 54+2=56
Current State: 91:[147, 56], Operations: ['50+97=147', '54+2=56']
Exploring Operation: 147-56=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
39,
68,
79,
91
] | 95 | [
"39+68=107",
"91-79=12",
"107-12=95"
] | Current State: 95:[39, 68, 79, 91], Operations: []
Exploring Operation: 39+68=107, Resulting Numbers: [79, 91, 107]
Generated Node #2: [79, 91, 107] from Operation: 39+68=107
Current State: 95:[79, 91, 107], Operations: ['39+68=107']
Exploring Operation: 91-79=12, Resulting Numbers: [107, 12]
Generated Node #3: [107, 12] from Operation: 91-79=12
Current State: 95:[107, 12], Operations: ['39+68=107', '91-79=12']
Exploring Operation: 107-12=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
3,
68,
48,
99
] | 82 | [
"68-3=65",
"48+99=147",
"147-65=82"
] | Current State: 82:[3, 68, 48, 99], Operations: []
Exploring Operation: 68-3=65, Resulting Numbers: [48, 99, 65]
Generated Node #2: [48, 99, 65] from Operation: 68-3=65
Current State: 82:[48, 99, 65], Operations: ['68-3=65']
Exploring Operation: 48+99=147, Resulting Numbers: [65, 147]
Generated Node #3: [65, 147] from Operation: 48+99=147
Current State: 82:[65, 147], Operations: ['68-3=65', '48+99=147']
Exploring Operation: 147-65=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
55,
68,
42,
71
] | 100 | [
"68-55=13",
"42+71=113",
"113-13=100"
] | Current State: 100:[55, 68, 42, 71], Operations: []
Exploring Operation: 68-55=13, Resulting Numbers: [42, 71, 13]
Generated Node #2: [42, 71, 13] from Operation: 68-55=13
Current State: 100:[42, 71, 13], Operations: ['68-55=13']
Exploring Operation: 42+71=113, Resulting Numbers: [13, 113]
Generated Node #3: [13, 113] from Operation: 42+71=113
Current State: 100:[13, 113], Operations: ['68-55=13', '42+71=113']
Exploring Operation: 113-13=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
92,
4,
68,
67
] | 73 | [
"92-68=24",
"24/4=6",
"67+6=73"
] | Current State: 73:[92, 4, 68, 67], Operations: []
Exploring Operation: 92-68=24, Resulting Numbers: [4, 67, 24]
Generated Node #2: [4, 67, 24] from Operation: 92-68=24
Current State: 73:[4, 67, 24], Operations: ['92-68=24']
Exploring Operation: 24/4=6, Resulting Numbers: [67, 6]
Generated Node #3: [67, 6] from Operation: 24/4=6
Current State: 73:[67, 6], Operations: ['92-68=24', '24/4=6']
Exploring Operation: 67+6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
35,
4,
74,
60
] | 95 | [
"35+4=39",
"74+60=134",
"134-39=95"
] | Current State: 95:[35, 4, 74, 60], Operations: []
Exploring Operation: 35+4=39, Resulting Numbers: [74, 60, 39]
Generated Node #2: [74, 60, 39] from Operation: 35+4=39
Current State: 95:[74, 60, 39], Operations: ['35+4=39']
Exploring Operation: 74+60=134, Resulting Numbers: [39, 134]
Generated Node #3: [39, 134] from Operation: 74+60=134
Current State: 95:[39, 134], Operations: ['35+4=39', '74+60=134']
Exploring Operation: 134-39=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
24,
82,
61,
56
] | 38 | [
"61-56=5",
"24*5=120",
"120-82=38"
] | Current State: 38:[24, 82, 61, 56], Operations: []
Exploring Operation: 61-56=5, Resulting Numbers: [24, 82, 5]
Generated Node #2: [24, 82, 5] from Operation: 61-56=5
Current State: 38:[24, 82, 5], Operations: ['61-56=5']
Exploring Operation: 24*5=120, Resulting Numbers: [82, 120]
Generated Node #3: [82, 120] from Operation: 24*5=120
Current State: 38:[82, 120], Operations: ['61-56=5', '24*5=120']
Exploring Operation: 120-82=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
70,
93,
87,
14
] | 36 | [
"70/14=5",
"93+87=180",
"180/5=36"
] | Current State: 36:[70, 93, 87, 14], Operations: []
Exploring Operation: 70/14=5, Resulting Numbers: [93, 87, 5]
Generated Node #2: [93, 87, 5] from Operation: 70/14=5
Current State: 36:[93, 87, 5], Operations: ['70/14=5']
Exploring Operation: 93+87=180, Resulting Numbers: [5, 180]
Generated Node #3: [5, 180] from Operation: 93+87=180
Current State: 36:[5, 180], Operations: ['70/14=5', '93+87=180']
Exploring Operation: 180/5=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
10,
67,
60,
21
] | 30 | [
"10*21=210",
"67-60=7",
"210/7=30"
] | Current State: 30:[10, 67, 60, 21], Operations: []
Exploring Operation: 10*21=210, Resulting Numbers: [67, 60, 210]
Generated Node #2: [67, 60, 210] from Operation: 10*21=210
Current State: 30:[67, 60, 210], Operations: ['10*21=210']
Exploring Operation: 67-60=7, Resulting Numbers: [210, 7]
Generated Node #3: [210, 7] from Operation: 67-60=7
Current State: 30:[210, 7], Operations: ['10*21=210', '67-60=7']
Exploring Operation: 210/7=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
89,
70,
35,
46
] | 62 | [
"89-70=19",
"35+46=81",
"81-19=62"
] | Current State: 62:[89, 70, 35, 46], Operations: []
Exploring Operation: 89-70=19, Resulting Numbers: [35, 46, 19]
Generated Node #2: [35, 46, 19] from Operation: 89-70=19
Current State: 62:[35, 46, 19], Operations: ['89-70=19']
Exploring Operation: 35+46=81, Resulting Numbers: [19, 81]
Generated Node #3: [19, 81] from Operation: 35+46=81
Current State: 62:[19, 81], Operations: ['89-70=19', '35+46=81']
Exploring Operation: 81-19=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
3,
73,
5,
15
] | 63 | [
"15/3=5",
"73-5=68",
"68-5=63"
] | Current State: 63:[3, 73, 5, 15], Operations: []
Exploring Operation: 15/3=5, Resulting Numbers: [73, 5, 5]
Generated Node #2: [73, 5, 5] from Operation: 15/3=5
Current State: 63:[73, 5, 5], Operations: ['15/3=5']
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,63 equal: Goal Reached
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
17,
33,
69,
95
] | 76 | [
"17+33=50",
"95-69=26",
"50+26=76"
] | Current State: 76:[17, 33, 69, 95], Operations: []
Exploring Operation: 17+33=50, Resulting Numbers: [69, 95, 50]
Generated Node #2: [69, 95, 50] from Operation: 17+33=50
Current State: 76:[69, 95, 50], Operations: ['17+33=50']
Exploring Operation: 95-69=26, Resulting Numbers: [50, 26]
Generated Node #3: [50, 26] from Operation: 95-69=26
Current State: 76:[50, 26], Operations: ['17+33=50', '95-69=26']
Exploring Operation: 50+26=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
95,
32,
40,
61
] | 42 | [
"95-32=63",
"61-40=21",
"63-21=42"
] | Current State: 42:[95, 32, 40, 61], Operations: []
Exploring Operation: 95-32=63, Resulting Numbers: [40, 61, 63]
Generated Node #2: [40, 61, 63] from Operation: 95-32=63
Current State: 42:[40, 61, 63], Operations: ['95-32=63']
Exploring Operation: 61-40=21, Resulting Numbers: [63, 21]
Generated Node #3: [63, 21] from Operation: 61-40=21
Current State: 42:[63, 21], Operations: ['95-32=63', '61-40=21']
Exploring Operation: 63-21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
52,
9,
12,
1
] | 36 | [
"52*9=468",
"12+1=13",
"468/13=36"
] | Current State: 36:[52, 9, 12, 1], Operations: []
Exploring Operation: 52*9=468, Resulting Numbers: [12, 1, 468]
Generated Node #2: [12, 1, 468] from Operation: 52*9=468
Current State: 36:[12, 1, 468], Operations: ['52*9=468']
Exploring Operation: 12+1=13, Resulting Numbers: [468, 13]
Generated Node #3: [468, 13] from Operation: 12+1=13
Current State: 36:[468, 13], Operations: ['52*9=468', '12+1=13']
Exploring Operation: 468/13=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
81,
24,
69,
54
] | 52 | [
"81-69=12",
"24/12=2",
"54-2=52"
] | Current State: 52:[81, 24, 69, 54], Operations: []
Exploring Operation: 81-69=12, Resulting Numbers: [24, 54, 12]
Generated Node #2: [24, 54, 12] from Operation: 81-69=12
Current State: 52:[24, 54, 12], Operations: ['81-69=12']
Exploring Operation: 24/12=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 24/12=2
Current State: 52:[54, 2], Operations: ['81-69=12', '24/12=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
73,
44,
3,
25
] | 14 | [
"73+44=117",
"117/3=39",
"39-25=14"
] | Current State: 14:[73, 44, 3, 25], Operations: []
Exploring Operation: 73+44=117, Resulting Numbers: [3, 25, 117]
Generated Node #2: [3, 25, 117] from Operation: 73+44=117
Current State: 14:[3, 25, 117], Operations: ['73+44=117']
Exploring Operation: 117/3=39, Resulting Numbers: [25, 39]
Generated Node #3: [25, 39] from Operation: 117/3=39
Current State: 14:[25, 39], Operations: ['73+44=117', '117/3=39']
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
43,
97,
9,
80
] | 35 | [
"97-43=54",
"9+80=89",
"89-54=35"
] | Current State: 35:[43, 97, 9, 80], Operations: []
Exploring Operation: 97-43=54, Resulting Numbers: [9, 80, 54]
Generated Node #2: [9, 80, 54] from Operation: 97-43=54
Current State: 35:[9, 80, 54], Operations: ['97-43=54']
Exploring Operation: 9+80=89, Resulting Numbers: [54, 89]
Generated Node #3: [54, 89] from Operation: 9+80=89
Current State: 35:[54, 89], Operations: ['97-43=54', '9+80=89']
Exploring Operation: 89-54=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
90,
40,
67,
2
] | 34 | [
"90-40=50",
"67-50=17",
"2*17=34"
] | Current State: 34:[90, 40, 67, 2], Operations: []
Exploring Operation: 90-40=50, Resulting Numbers: [67, 2, 50]
Generated Node #2: [67, 2, 50] from Operation: 90-40=50
Current State: 34:[67, 2, 50], Operations: ['90-40=50']
Exploring Operation: 67-50=17, Resulting Numbers: [2, 17]
Generated Node #3: [2, 17] from Operation: 67-50=17
Current State: 34:[2, 17], Operations: ['90-40=50', '67-50=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
7,
85,
35,
70
] | 75 | [
"35/7=5",
"85-70=15",
"5*15=75"
] | Current State: 75:[7, 85, 35, 70], Operations: []
Exploring Operation: 35/7=5, Resulting Numbers: [85, 70, 5]
Generated Node #2: [85, 70, 5] from Operation: 35/7=5
Current State: 75:[85, 70, 5], Operations: ['35/7=5']
Exploring Operation: 85-70=15, Resulting Numbers: [5, 15]
Generated Node #3: [5, 15] from Operation: 85-70=15
Current State: 75:[5, 15], Operations: ['35/7=5', '85-70=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
60,
58,
33,
70
] | 78 | [
"58+33=91",
"60*91=5460",
"5460/70=78"
] | Current State: 78:[60, 58, 33, 70], Operations: []
Exploring Operation: 58+33=91, Resulting Numbers: [60, 70, 91]
Generated Node #2: [60, 70, 91] from Operation: 58+33=91
Current State: 78:[60, 70, 91], Operations: ['58+33=91']
Exploring Operation: 60*91=5460, Resulting Numbers: [70, 5460]
Generated Node #3: [70, 5460] from Operation: 60*91=5460
Current State: 78:[70, 5460], Operations: ['58+33=91', '60*91=5460']
Exploring Operation: 5460/70=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
11,
30,
18,
4
] | 91 | [
"30-11=19",
"18*4=72",
"19+72=91"
] | Current State: 91:[11, 30, 18, 4], Operations: []
Exploring Operation: 30-11=19, Resulting Numbers: [18, 4, 19]
Generated Node #2: [18, 4, 19] from Operation: 30-11=19
Current State: 91:[18, 4, 19], Operations: ['30-11=19']
Exploring Operation: 18*4=72, Resulting Numbers: [19, 72]
Generated Node #3: [19, 72] from Operation: 18*4=72
Current State: 91:[19, 72], Operations: ['30-11=19', '18*4=72']
Exploring Operation: 19+72=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
48,
77,
5,
97
] | 48 | [
"77-48=29",
"5*29=145",
"145-97=48"
] | Current State: 48:[48, 77, 5, 97], Operations: []
Exploring Operation: 77-48=29, Resulting Numbers: [5, 97, 29]
Generated Node #2: [5, 97, 29] from Operation: 77-48=29
Current State: 48:[5, 97, 29], Operations: ['77-48=29']
Exploring Operation: 5*29=145, Resulting Numbers: [97, 145]
Generated Node #3: [97, 145] from Operation: 5*29=145
Current State: 48:[97, 145], Operations: ['77-48=29', '5*29=145']
Exploring Operation: 145-97=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
39,
90,
44,
82
] | 64 | [
"44-39=5",
"90/5=18",
"82-18=64"
] | Current State: 64:[39, 90, 44, 82], Operations: []
Exploring Operation: 44-39=5, Resulting Numbers: [90, 82, 5]
Generated Node #2: [90, 82, 5] from Operation: 44-39=5
Current State: 64:[90, 82, 5], Operations: ['44-39=5']
Exploring Operation: 90/5=18, Resulting Numbers: [82, 18]
Generated Node #3: [82, 18] from Operation: 90/5=18
Current State: 64:[82, 18], Operations: ['44-39=5', '90/5=18']
Exploring Operation: 82-18=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
62,
95,
94,
89
] | 28 | [
"95-62=33",
"94-89=5",
"33-5=28"
] | Current State: 28:[62, 95, 94, 89], Operations: []
Exploring Operation: 95-62=33, Resulting Numbers: [94, 89, 33]
Generated Node #2: [94, 89, 33] from Operation: 95-62=33
Current State: 28:[94, 89, 33], Operations: ['95-62=33']
Exploring Operation: 94-89=5, Resulting Numbers: [33, 5]
Generated Node #3: [33, 5] from Operation: 94-89=5
Current State: 28:[33, 5], Operations: ['95-62=33', '94-89=5']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
1,
10,
48,
2
] | 59 | [
"10-1=9",
"48+2=50",
"9+50=59"
] | Current State: 59:[1, 10, 48, 2], Operations: []
Exploring Operation: 10-1=9, Resulting Numbers: [48, 2, 9]
Generated Node #2: [48, 2, 9] from Operation: 10-1=9
Current State: 59:[48, 2, 9], Operations: ['10-1=9']
Exploring Operation: 48+2=50, Resulting Numbers: [9, 50]
Generated Node #3: [9, 50] from Operation: 48+2=50
Current State: 59:[9, 50], Operations: ['10-1=9', '48+2=50']
Exploring Operation: 9+50=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
66,
34,
55,
14
] | 37 | [
"66-34=32",
"55+14=69",
"69-32=37"
] | Current State: 37:[66, 34, 55, 14], Operations: []
Exploring Operation: 66-34=32, Resulting Numbers: [55, 14, 32]
Generated Node #2: [55, 14, 32] from Operation: 66-34=32
Current State: 37:[55, 14, 32], Operations: ['66-34=32']
Exploring Operation: 55+14=69, Resulting Numbers: [32, 69]
Generated Node #3: [32, 69] from Operation: 55+14=69
Current State: 37:[32, 69], Operations: ['66-34=32', '55+14=69']
Exploring Operation: 69-32=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
82,
22,
6,
84
] | 88 | [
"82+6=88",
"88/22=4",
"84+4=88"
] | Current State: 88:[82, 22, 6, 84], Operations: []
Exploring Operation: 82+6=88, Resulting Numbers: [22, 84, 88]
Generated Node #2: [22, 84, 88] from Operation: 82+6=88
Current State: 88:[22, 84, 88], Operations: ['82+6=88']
Exploring Operation: 88/22=4, Resulting Numbers: [84, 4]
Generated Node #3: [84, 4] from Operation: 88/22=4
Current State: 88:[84, 4], Operations: ['82+6=88', '88/22=4']
Exploring Operation: 84+4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
15,
78,
9,
69
] | 13 | [
"69-15=54",
"78*9=702",
"702/54=13"
] | Current State: 13:[15, 78, 9, 69], Operations: []
Exploring Operation: 69-15=54, Resulting Numbers: [78, 9, 54]
Generated Node #2: [78, 9, 54] from Operation: 69-15=54
Current State: 13:[78, 9, 54], Operations: ['69-15=54']
Exploring Operation: 78*9=702, Resulting Numbers: [54, 702]
Generated Node #3: [54, 702] from Operation: 78*9=702
Current State: 13:[54, 702], Operations: ['69-15=54', '78*9=702']
Exploring Operation: 702/54=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
22,
25,
61,
47
] | 62 | [
"22+25=47",
"47/47=1",
"61+1=62"
] | Current State: 62:[22, 25, 61, 47], Operations: []
Exploring Operation: 22+25=47, Resulting Numbers: [61, 47, 47]
Generated Node #2: [61, 47, 47] from Operation: 22+25=47
Current State: 62:[61, 47, 47], Operations: ['22+25=47']
Exploring Operation: 47/47=1, Resulting Numbers: [61, 1]
Generated Node #3: [61, 1] from Operation: 47/47=1
Current State: 62:[61, 1], Operations: ['22+25=47', '47/47=1']
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
92,
74,
77,
72
] | 68 | [
"77-74=3",
"72/3=24",
"92-24=68"
] | Current State: 68:[92, 74, 77, 72], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [92, 72, 3]
Generated Node #2: [92, 72, 3] from Operation: 77-74=3
Current State: 68:[92, 72, 3], Operations: ['77-74=3']
Exploring Operation: 72/3=24, Resulting Numbers: [92, 24]
Generated Node #3: [92, 24] from Operation: 72/3=24
Current State: 68:[92, 24], Operations: ['77-74=3', '72/3=24']
Exploring Operation: 92-24=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
5,
61,
3,
31
] | 84 | [
"61-5=56",
"31-3=28",
"56+28=84"
] | Current State: 84:[5, 61, 3, 31], Operations: []
Exploring Operation: 61-5=56, Resulting Numbers: [3, 31, 56]
Generated Node #2: [3, 31, 56] from Operation: 61-5=56
Current State: 84:[3, 31, 56], Operations: ['61-5=56']
Exploring Operation: 31-3=28, Resulting Numbers: [56, 28]
Generated Node #3: [56, 28] from Operation: 31-3=28
Current State: 84:[56, 28], Operations: ['61-5=56', '31-3=28']
Exploring Operation: 56+28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
10,
63,
85,
95
] | 43 | [
"63-10=53",
"95-85=10",
"53-10=43"
] | Current State: 43:[10, 63, 85, 95], Operations: []
Exploring Operation: 63-10=53, Resulting Numbers: [85, 95, 53]
Generated Node #2: [85, 95, 53] from Operation: 63-10=53
Current State: 43:[85, 95, 53], Operations: ['63-10=53']
Exploring Operation: 95-85=10, Resulting Numbers: [53, 10]
Generated Node #3: [53, 10] from Operation: 95-85=10
Current State: 43:[53, 10], Operations: ['63-10=53', '95-85=10']
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
53,
62,
38,
33
] | 62 | [
"62-53=9",
"38+33=71",
"71-9=62"
] | Current State: 62:[53, 62, 38, 33], Operations: []
Exploring Operation: 62-53=9, Resulting Numbers: [38, 33, 9]
Generated Node #2: [38, 33, 9] from Operation: 62-53=9
Current State: 62:[38, 33, 9], Operations: ['62-53=9']
Exploring Operation: 38+33=71, Resulting Numbers: [9, 71]
Generated Node #3: [9, 71] from Operation: 38+33=71
Current State: 62:[9, 71], Operations: ['62-53=9', '38+33=71']
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
55,
39,
78,
2
] | 51 | [
"55-2=53",
"78/39=2",
"53-2=51"
] | Current State: 51:[55, 39, 78, 2], Operations: []
Exploring Operation: 55-2=53, Resulting Numbers: [39, 78, 53]
Generated Node #2: [39, 78, 53] from Operation: 55-2=53
Current State: 51:[39, 78, 53], Operations: ['55-2=53']
Exploring Operation: 78/39=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 78/39=2
Current State: 51:[53, 2], Operations: ['55-2=53', '78/39=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
12,
36,
32,
6
] | 24 | [
"12+36=48",
"48/6=8",
"32-8=24"
] | Current State: 24:[12, 36, 32, 6], Operations: []
Exploring Operation: 12+36=48, Resulting Numbers: [32, 6, 48]
Generated Node #2: [32, 6, 48] from Operation: 12+36=48
Current State: 24:[32, 6, 48], Operations: ['12+36=48']
Exploring Operation: 48/6=8, Resulting Numbers: [32, 8]
Generated Node #3: [32, 8] from Operation: 48/6=8
Current State: 24:[32, 8], Operations: ['12+36=48', '48/6=8']
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
31,
17,
45,
22
] | 19 | [
"31+17=48",
"45+22=67",
"67-48=19"
] | Current State: 19:[31, 17, 45, 22], Operations: []
Exploring Operation: 31+17=48, Resulting Numbers: [45, 22, 48]
Generated Node #2: [45, 22, 48] from Operation: 31+17=48
Current State: 19:[45, 22, 48], Operations: ['31+17=48']
Exploring Operation: 45+22=67, Resulting Numbers: [48, 67]
Generated Node #3: [48, 67] from Operation: 45+22=67
Current State: 19:[48, 67], Operations: ['31+17=48', '45+22=67']
Exploring Operation: 67-48=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
84,
8,
17,
20
] | 24 | [
"20-8=12",
"84/12=7",
"17+7=24"
] | Current State: 24:[84, 8, 17, 20], Operations: []
Exploring Operation: 20-8=12, Resulting Numbers: [84, 17, 12]
Generated Node #2: [84, 17, 12] from Operation: 20-8=12
Current State: 24:[84, 17, 12], Operations: ['20-8=12']
Exploring Operation: 84/12=7, Resulting Numbers: [17, 7]
Generated Node #3: [17, 7] from Operation: 84/12=7
Current State: 24:[17, 7], Operations: ['20-8=12', '84/12=7']
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
61,
78,
23,
55
] | 62 | [
"78-23=55",
"55/55=1",
"61+1=62"
] | Current State: 62:[61, 78, 23, 55], Operations: []
Exploring Operation: 78-23=55, Resulting Numbers: [61, 55, 55]
Generated Node #2: [61, 55, 55] from Operation: 78-23=55
Current State: 62:[61, 55, 55], Operations: ['78-23=55']
Exploring Operation: 55/55=1, Resulting Numbers: [61, 1]
Generated Node #3: [61, 1] from Operation: 55/55=1
Current State: 62:[61, 1], Operations: ['78-23=55', '55/55=1']
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
88,
32,
70,
6
] | 44 | [
"88+32=120",
"70+6=76",
"120-76=44"
] | Current State: 44:[88, 32, 70, 6], Operations: []
Exploring Operation: 88+32=120, Resulting Numbers: [70, 6, 120]
Generated Node #2: [70, 6, 120] from Operation: 88+32=120
Current State: 44:[70, 6, 120], Operations: ['88+32=120']
Exploring Operation: 70+6=76, Resulting Numbers: [120, 76]
Generated Node #3: [120, 76] from Operation: 70+6=76
Current State: 44:[120, 76], Operations: ['88+32=120', '70+6=76']
Exploring Operation: 120-76=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
38,
3,
64,
16
] | 37 | [
"38+3=41",
"64/16=4",
"41-4=37"
] | Current State: 37:[38, 3, 64, 16], Operations: []
Exploring Operation: 38+3=41, Resulting Numbers: [64, 16, 41]
Generated Node #2: [64, 16, 41] from Operation: 38+3=41
Current State: 37:[64, 16, 41], Operations: ['38+3=41']
Exploring Operation: 64/16=4, Resulting Numbers: [41, 4]
Generated Node #3: [41, 4] from Operation: 64/16=4
Current State: 37:[41, 4], Operations: ['38+3=41', '64/16=4']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
4,
37,
6,
84
] | 64 | [
"84/4=21",
"37+6=43",
"21+43=64"
] | Current State: 64:[4, 37, 6, 84], Operations: []
Exploring Operation: 84/4=21, Resulting Numbers: [37, 6, 21]
Generated Node #2: [37, 6, 21] from Operation: 84/4=21
Current State: 64:[37, 6, 21], Operations: ['84/4=21']
Exploring Operation: 37+6=43, Resulting Numbers: [21, 43]
Generated Node #3: [21, 43] from Operation: 37+6=43
Current State: 64:[21, 43], Operations: ['84/4=21', '37+6=43']
Exploring Operation: 21+43=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
11,
21,
10,
3
] | 84 | [
"11+10=21",
"21*3=63",
"21+63=84"
] | Current State: 84:[11, 21, 10, 3], Operations: []
Exploring Operation: 11+10=21, Resulting Numbers: [21, 3, 21]
Generated Node #2: [21, 3, 21] from Operation: 11+10=21
Current State: 84:[21, 3, 21], Operations: ['11+10=21']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,84 equal: Goal Reached
Exploring Operation: 21+63=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
52,
2,
40,
23
] | 95 | [
"52+23=75",
"40/2=20",
"75+20=95"
] | Current State: 95:[52, 2, 40, 23], Operations: []
Exploring Operation: 52+23=75, Resulting Numbers: [2, 40, 75]
Generated Node #2: [2, 40, 75] from Operation: 52+23=75
Current State: 95:[2, 40, 75], Operations: ['52+23=75']
Exploring Operation: 40/2=20, Resulting Numbers: [75, 20]
Generated Node #3: [75, 20] from Operation: 40/2=20
Current State: 95:[75, 20], Operations: ['52+23=75', '40/2=20']
Exploring Operation: 75+20=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
60,
41,
19,
15
] | 16 | [
"60-41=19",
"19/19=1",
"15+1=16"
] | Current State: 16:[60, 41, 19, 15], Operations: []
Exploring Operation: 60-41=19, Resulting Numbers: [19, 15, 19]
Generated Node #2: [19, 15, 19] from Operation: 60-41=19
Current State: 16:[19, 15, 19], Operations: ['60-41=19']
Exploring Operation: 19/19=1, Resulting Numbers: [15, 1]
Generated Node #3: [15, 1] from Operation: 19/19=1
Current State: 16:[15, 1], Operations: ['60-41=19', '19/19=1']
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
38,
68,
3,
33
] | 95 | [
"38+68=106",
"33/3=11",
"106-11=95"
] | Current State: 95:[38, 68, 3, 33], Operations: []
Exploring Operation: 38+68=106, Resulting Numbers: [3, 33, 106]
Generated Node #2: [3, 33, 106] from Operation: 38+68=106
Current State: 95:[3, 33, 106], Operations: ['38+68=106']
Exploring Operation: 33/3=11, Resulting Numbers: [106, 11]
Generated Node #3: [106, 11] from Operation: 33/3=11
Current State: 95:[106, 11], Operations: ['38+68=106', '33/3=11']
Exploring Operation: 106-11=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
4,
24,
12,
83
] | 51 | [
"24-4=20",
"83-12=71",
"71-20=51"
] | Current State: 51:[4, 24, 12, 83], Operations: []
Exploring Operation: 24-4=20, Resulting Numbers: [12, 83, 20]
Generated Node #2: [12, 83, 20] from Operation: 24-4=20
Current State: 51:[12, 83, 20], Operations: ['24-4=20']
Exploring Operation: 83-12=71, Resulting Numbers: [20, 71]
Generated Node #3: [20, 71] from Operation: 83-12=71
Current State: 51:[20, 71], Operations: ['24-4=20', '83-12=71']
Exploring Operation: 71-20=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
22,
27,
82,
40
] | 47 | [
"27-22=5",
"82-40=42",
"5+42=47"
] | Current State: 47:[22, 27, 82, 40], Operations: []
Exploring Operation: 27-22=5, Resulting Numbers: [82, 40, 5]
Generated Node #2: [82, 40, 5] from Operation: 27-22=5
Current State: 47:[82, 40, 5], Operations: ['27-22=5']
Exploring Operation: 82-40=42, Resulting Numbers: [5, 42]
Generated Node #3: [5, 42] from Operation: 82-40=42
Current State: 47:[5, 42], Operations: ['27-22=5', '82-40=42']
Exploring Operation: 5+42=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
18,
5,
64,
4
] | 12 | [
"18-5=13",
"4*13=52",
"64-52=12"
] | Current State: 12:[18, 5, 64, 4], Operations: []
Exploring Operation: 18-5=13, Resulting Numbers: [64, 4, 13]
Generated Node #2: [64, 4, 13] from Operation: 18-5=13
Current State: 12:[64, 4, 13], Operations: ['18-5=13']
Exploring Operation: 4*13=52, Resulting Numbers: [64, 52]
Generated Node #3: [64, 52] from Operation: 4*13=52
Current State: 12:[64, 52], Operations: ['18-5=13', '4*13=52']
Exploring Operation: 64-52=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
90,
55,
89,
6
] | 48 | [
"90-55=35",
"89-6=83",
"83-35=48"
] | Current State: 48:[90, 55, 89, 6], Operations: []
Exploring Operation: 90-55=35, Resulting Numbers: [89, 6, 35]
Generated Node #2: [89, 6, 35] from Operation: 90-55=35
Current State: 48:[89, 6, 35], Operations: ['90-55=35']
Exploring Operation: 89-6=83, Resulting Numbers: [35, 83]
Generated Node #3: [35, 83] from Operation: 89-6=83
Current State: 48:[35, 83], Operations: ['90-55=35', '89-6=83']
Exploring Operation: 83-35=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
25,
36,
47,
33
] | 66 | [
"25+47=72",
"72/36=2",
"33*2=66"
] | Current State: 66:[25, 36, 47, 33], Operations: []
Exploring Operation: 25+47=72, Resulting Numbers: [36, 33, 72]
Generated Node #2: [36, 33, 72] from Operation: 25+47=72
Current State: 66:[36, 33, 72], Operations: ['25+47=72']
Exploring Operation: 72/36=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 72/36=2
Current State: 66:[33, 2], Operations: ['25+47=72', '72/36=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
10,
65,
3,
96
] | 71 | [
"10+65=75",
"75/3=25",
"96-25=71"
] | Current State: 71:[10, 65, 3, 96], Operations: []
Exploring Operation: 10+65=75, Resulting Numbers: [3, 96, 75]
Generated Node #2: [3, 96, 75] from Operation: 10+65=75
Current State: 71:[3, 96, 75], Operations: ['10+65=75']
Exploring Operation: 75/3=25, Resulting Numbers: [96, 25]
Generated Node #3: [96, 25] from Operation: 75/3=25
Current State: 71:[96, 25], Operations: ['10+65=75', '75/3=25']
Exploring Operation: 96-25=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
18,
23,
91,
34
] | 79 | [
"23-18=5",
"34*5=170",
"170-91=79"
] | Current State: 79:[18, 23, 91, 34], Operations: []
Exploring Operation: 23-18=5, Resulting Numbers: [91, 34, 5]
Generated Node #2: [91, 34, 5] from Operation: 23-18=5
Current State: 79:[91, 34, 5], Operations: ['23-18=5']
Exploring Operation: 34*5=170, Resulting Numbers: [91, 170]
Generated Node #3: [91, 170] from Operation: 34*5=170
Current State: 79:[91, 170], Operations: ['23-18=5', '34*5=170']
Exploring Operation: 170-91=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
17,
32,
18,
24
] | 98 | [
"24-17=7",
"32-18=14",
"7*14=98"
] | Current State: 98:[17, 32, 18, 24], Operations: []
Exploring Operation: 24-17=7, Resulting Numbers: [32, 18, 7]
Generated Node #2: [32, 18, 7] from Operation: 24-17=7
Current State: 98:[32, 18, 7], Operations: ['24-17=7']
Exploring Operation: 32-18=14, Resulting Numbers: [7, 14]
Generated Node #3: [7, 14] from Operation: 32-18=14
Current State: 98:[7, 14], Operations: ['24-17=7', '32-18=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
62,
19,
48,
16
] | 42 | [
"62-48=14",
"19-16=3",
"14*3=42"
] | Current State: 42:[62, 19, 48, 16], Operations: []
Exploring Operation: 62-48=14, Resulting Numbers: [19, 16, 14]
Generated Node #2: [19, 16, 14] from Operation: 62-48=14
Current State: 42:[19, 16, 14], Operations: ['62-48=14']
Exploring Operation: 19-16=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 19-16=3
Current State: 42:[14, 3], Operations: ['62-48=14', '19-16=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
66,
88,
90,
44
] | 60 | [
"88-44=44",
"90*44=3960",
"3960/66=60"
] | Current State: 60:[66, 88, 90, 44], Operations: []
Exploring Operation: 88-44=44, Resulting Numbers: [66, 90, 44]
Generated Node #2: [66, 90, 44] from Operation: 88-44=44
Current State: 60:[66, 90, 44], Operations: ['88-44=44']
Exploring Operation: 90*44=3960, Resulting Numbers: [66, 3960]
Generated Node #3: [66, 3960] from Operation: 90*44=3960
Current State: 60:[66, 3960], Operations: ['88-44=44', '90*44=3960']
Exploring Operation: 3960/66=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
2,
4,
54,
42
] | 71 | [
"42/2=21",
"54-4=50",
"21+50=71"
] | Current State: 71:[2, 4, 54, 42], Operations: []
Exploring Operation: 42/2=21, Resulting Numbers: [4, 54, 21]
Generated Node #2: [4, 54, 21] from Operation: 42/2=21
Current State: 71:[4, 54, 21], Operations: ['42/2=21']
Exploring Operation: 54-4=50, Resulting Numbers: [21, 50]
Generated Node #3: [21, 50] from Operation: 54-4=50
Current State: 71:[21, 50], Operations: ['42/2=21', '54-4=50']
Exploring Operation: 21+50=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
8,
27,
24,
81
] | 48 | [
"24-8=16",
"81/27=3",
"16*3=48"
] | Current State: 48:[8, 27, 24, 81], Operations: []
Exploring Operation: 24-8=16, Resulting Numbers: [27, 81, 16]
Generated Node #2: [27, 81, 16] from Operation: 24-8=16
Current State: 48:[27, 81, 16], Operations: ['24-8=16']
Exploring Operation: 81/27=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 81/27=3
Current State: 48:[16, 3], Operations: ['24-8=16', '81/27=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
65,
2,
32,
79
] | 29 | [
"79-32=47",
"2*47=94",
"94-65=29"
] | Current State: 29:[65, 2, 32, 79], Operations: []
Exploring Operation: 79-32=47, Resulting Numbers: [65, 2, 47]
Generated Node #2: [65, 2, 47] from Operation: 79-32=47
Current State: 29:[65, 2, 47], Operations: ['79-32=47']
Exploring Operation: 2*47=94, Resulting Numbers: [65, 94]
Generated Node #3: [65, 94] from Operation: 2*47=94
Current State: 29:[65, 94], Operations: ['79-32=47', '2*47=94']
Exploring Operation: 94-65=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
36,
4,
95,
75
] | 20 | [
"36+4=40",
"95-75=20",
"40-20=20"
] | Current State: 20:[36, 4, 95, 75], Operations: []
Exploring Operation: 36+4=40, Resulting Numbers: [95, 75, 40]
Generated Node #2: [95, 75, 40] from Operation: 36+4=40
Current State: 20:[95, 75, 40], Operations: ['36+4=40']
Exploring Operation: 95-75=20, Resulting Numbers: [40, 20]
Generated Node #3: [40, 20] from Operation: 95-75=20
Current State: 20:[40, 20], Operations: ['36+4=40', '95-75=20']
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
97,
8,
64,
20
] | 42 | [
"97*8=776",
"64+776=840",
"840/20=42"
] | Current State: 42:[97, 8, 64, 20], Operations: []
Exploring Operation: 97*8=776, Resulting Numbers: [64, 20, 776]
Generated Node #2: [64, 20, 776] from Operation: 97*8=776
Current State: 42:[64, 20, 776], Operations: ['97*8=776']
Exploring Operation: 64+776=840, Resulting Numbers: [20, 840]
Generated Node #3: [20, 840] from Operation: 64+776=840
Current State: 42:[20, 840], Operations: ['97*8=776', '64+776=840']
Exploring Operation: 840/20=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
69,
66,
12,
35
] | 31 | [
"69-66=3",
"12/3=4",
"35-4=31"
] | Current State: 31:[69, 66, 12, 35], Operations: []
Exploring Operation: 69-66=3, Resulting Numbers: [12, 35, 3]
Generated Node #2: [12, 35, 3] from Operation: 69-66=3
Current State: 31:[12, 35, 3], Operations: ['69-66=3']
Exploring Operation: 12/3=4, Resulting Numbers: [35, 4]
Generated Node #3: [35, 4] from Operation: 12/3=4
Current State: 31:[35, 4], Operations: ['69-66=3', '12/3=4']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
78,
94,
13,
3
] | 32 | [
"94-78=16",
"13+3=16",
"16+16=32"
] | Current State: 32:[78, 94, 13, 3], Operations: []
Exploring Operation: 94-78=16, Resulting Numbers: [13, 3, 16]
Generated Node #2: [13, 3, 16] from Operation: 94-78=16
Current State: 32:[13, 3, 16], Operations: ['94-78=16']
Exploring Operation: 13+3=16, Resulting Numbers: [16, 16]
Generated Node #3: [16, 16] from Operation: 13+3=16
Current State: 32:[16, 16], Operations: ['94-78=16', '13+3=16']
Exploring Operation: 16+16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
62,
5,
86,
97
] | 68 | [
"62-5=57",
"97-86=11",
"57+11=68"
] | Current State: 68:[62, 5, 86, 97], Operations: []
Exploring Operation: 62-5=57, Resulting Numbers: [86, 97, 57]
Generated Node #2: [86, 97, 57] from Operation: 62-5=57
Current State: 68:[86, 97, 57], Operations: ['62-5=57']
Exploring Operation: 97-86=11, Resulting Numbers: [57, 11]
Generated Node #3: [57, 11] from Operation: 97-86=11
Current State: 68:[57, 11], Operations: ['62-5=57', '97-86=11']
Exploring Operation: 57+11=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
66,
79,
25,
2
] | 93 | [
"79-25=54",
"54/2=27",
"66+27=93"
] | Current State: 93:[66, 79, 25, 2], Operations: []
Exploring Operation: 79-25=54, Resulting Numbers: [66, 2, 54]
Generated Node #2: [66, 2, 54] from Operation: 79-25=54
Current State: 93:[66, 2, 54], Operations: ['79-25=54']
Exploring Operation: 54/2=27, Resulting Numbers: [66, 27]
Generated Node #3: [66, 27] from Operation: 54/2=27
Current State: 93:[66, 27], Operations: ['79-25=54', '54/2=27']
Exploring Operation: 66+27=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
71,
21,
17,
10
] | 65 | [
"71+21=92",
"17+10=27",
"92-27=65"
] | Current State: 65:[71, 21, 17, 10], Operations: []
Exploring Operation: 71+21=92, Resulting Numbers: [17, 10, 92]
Generated Node #2: [17, 10, 92] from Operation: 71+21=92
Current State: 65:[17, 10, 92], Operations: ['71+21=92']
Exploring Operation: 17+10=27, Resulting Numbers: [92, 27]
Generated Node #3: [92, 27] from Operation: 17+10=27
Current State: 65:[92, 27], Operations: ['71+21=92', '17+10=27']
Exploring Operation: 92-27=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
99,
94,
5,
95
] | 20 | [
"99-94=5",
"5+95=100",
"100/5=20"
] | Current State: 20:[99, 94, 5, 95], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [5, 95, 5]
Generated Node #2: [5, 95, 5] from Operation: 99-94=5
Current State: 20:[5, 95, 5], Operations: ['99-94=5']
Exploring Operation: 5+95=100, Resulting Numbers: [100]
100,20 equal: Goal Reached
Exploring Operation: 100/5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
95,
21,
28,
18
] | 28 | [
"95-21=74",
"28+18=46",
"74-46=28"
] | Current State: 28:[95, 21, 28, 18], Operations: []
Exploring Operation: 95-21=74, Resulting Numbers: [28, 18, 74]
Generated Node #2: [28, 18, 74] from Operation: 95-21=74
Current State: 28:[28, 18, 74], Operations: ['95-21=74']
Exploring Operation: 28+18=46, Resulting Numbers: [74, 46]
Generated Node #3: [74, 46] from Operation: 28+18=46
Current State: 28:[74, 46], Operations: ['95-21=74', '28+18=46']
Exploring Operation: 74-46=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
7,
51,
29,
31
] | 22 | [
"51-7=44",
"31-29=2",
"44/2=22"
] | Current State: 22:[7, 51, 29, 31], Operations: []
Exploring Operation: 51-7=44, Resulting Numbers: [29, 31, 44]
Generated Node #2: [29, 31, 44] from Operation: 51-7=44
Current State: 22:[29, 31, 44], Operations: ['51-7=44']
Exploring Operation: 31-29=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 31-29=2
Current State: 22:[44, 2], Operations: ['51-7=44', '31-29=2']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
70,
35,
65,
75
] | 74 | [
"65+75=140",
"140/35=4",
"70+4=74"
] | Current State: 74:[70, 35, 65, 75], Operations: []
Exploring Operation: 65+75=140, Resulting Numbers: [70, 35, 140]
Generated Node #2: [70, 35, 140] from Operation: 65+75=140
Current State: 74:[70, 35, 140], Operations: ['65+75=140']
Exploring Operation: 140/35=4, Resulting Numbers: [70, 4]
Generated Node #3: [70, 4] from Operation: 140/35=4
Current State: 74:[70, 4], Operations: ['65+75=140', '140/35=4']
Exploring Operation: 70+4=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
72,
10,
6,
12
] | 84 | [
"72+10=82",
"12/6=2",
"82+2=84"
] | Current State: 84:[72, 10, 6, 12], Operations: []
Exploring Operation: 72+10=82, Resulting Numbers: [6, 12, 82]
Generated Node #2: [6, 12, 82] from Operation: 72+10=82
Current State: 84:[6, 12, 82], Operations: ['72+10=82']
Exploring Operation: 12/6=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 12/6=2
Current State: 84:[82, 2], Operations: ['72+10=82', '12/6=2']
Exploring Operation: 82+2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
10,
11,
4,
15
] | 66 | [
"10*4=40",
"11+15=26",
"40+26=66"
] | Current State: 66:[10, 11, 4, 15], Operations: []
Exploring Operation: 10*4=40, Resulting Numbers: [11, 15, 40]
Generated Node #2: [11, 15, 40] from Operation: 10*4=40
Current State: 66:[11, 15, 40], Operations: ['10*4=40']
Exploring Operation: 11+15=26, Resulting Numbers: [40, 26]
Generated Node #3: [40, 26] from Operation: 11+15=26
Current State: 66:[40, 26], Operations: ['10*4=40', '11+15=26']
Exploring Operation: 40+26=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
76,
90,
15,
2
] | 79 | [
"90/15=6",
"6/2=3",
"76+3=79"
] | Current State: 79:[76, 90, 15, 2], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [76, 2, 6]
Generated Node #2: [76, 2, 6] from Operation: 90/15=6
Current State: 79:[76, 2, 6], Operations: ['90/15=6']
Exploring Operation: 6/2=3, Resulting Numbers: [76, 3]
Generated Node #3: [76, 3] from Operation: 6/2=3
Current State: 79:[76, 3], Operations: ['90/15=6', '6/2=3']
Exploring Operation: 76+3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
87,
54,
33,
62
] | 57 | [
"62-33=29",
"87/29=3",
"54+3=57"
] | Current State: 57:[87, 54, 33, 62], Operations: []
Exploring Operation: 62-33=29, Resulting Numbers: [87, 54, 29]
Generated Node #2: [87, 54, 29] from Operation: 62-33=29
Current State: 57:[87, 54, 29], Operations: ['62-33=29']
Exploring Operation: 87/29=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 87/29=3
Current State: 57:[54, 3], Operations: ['62-33=29', '87/29=3']
Exploring Operation: 54+3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
2,
94,
5,
46
] | 65 | [
"94+46=140",
"140/2=70",
"70-5=65"
] | Current State: 65:[2, 94, 5, 46], Operations: []
Exploring Operation: 94+46=140, Resulting Numbers: [2, 5, 140]
Generated Node #2: [2, 5, 140] from Operation: 94+46=140
Current State: 65:[2, 5, 140], Operations: ['94+46=140']
Exploring Operation: 140/2=70, Resulting Numbers: [5, 70]
Generated Node #3: [5, 70] from Operation: 140/2=70
Current State: 65:[5, 70], Operations: ['94+46=140', '140/2=70']
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
43,
12,
42,
55
] | 42 | [
"43+12=55",
"42+55=97",
"97-55=42"
] | Current State: 42:[43, 12, 42, 55], Operations: []
Exploring Operation: 43+12=55, Resulting Numbers: [42, 55, 55]
Generated Node #2: [42, 55, 55] from Operation: 43+12=55
Current State: 42:[42, 55, 55], Operations: ['43+12=55']
Exploring Operation: 42+55=97, Resulting Numbers: [97]
97,42 equal: Goal Reached
Exploring Operation: 97-55=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
11,
18,
20,
89
] | 90 | [
"11+89=100",
"18*100=1800",
"1800/20=90"
] | Current State: 90:[11, 18, 20, 89], Operations: []
Exploring Operation: 11+89=100, Resulting Numbers: [18, 20, 100]
Generated Node #2: [18, 20, 100] from Operation: 11+89=100
Current State: 90:[18, 20, 100], Operations: ['11+89=100']
Exploring Operation: 18*100=1800, Resulting Numbers: [20, 1800]
Generated Node #3: [20, 1800] from Operation: 18*100=1800
Current State: 90:[20, 1800], Operations: ['11+89=100', '18*100=1800']
Exploring Operation: 1800/20=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
84,
44,
86,
56
] | 79 | [
"56-44=12",
"84/12=7",
"86-7=79"
] | Current State: 79:[84, 44, 86, 56], Operations: []
Exploring Operation: 56-44=12, Resulting Numbers: [84, 86, 12]
Generated Node #2: [84, 86, 12] from Operation: 56-44=12
Current State: 79:[84, 86, 12], Operations: ['56-44=12']
Exploring Operation: 84/12=7, Resulting Numbers: [86, 7]
Generated Node #3: [86, 7] from Operation: 84/12=7
Current State: 79:[86, 7], Operations: ['56-44=12', '84/12=7']
Exploring Operation: 86-7=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
50,
79,
61,
72
] | 81 | [
"50+72=122",
"122/61=2",
"79+2=81"
] | Current State: 81:[50, 79, 61, 72], Operations: []
Exploring Operation: 50+72=122, Resulting Numbers: [79, 61, 122]
Generated Node #2: [79, 61, 122] from Operation: 50+72=122
Current State: 81:[79, 61, 122], Operations: ['50+72=122']
Exploring Operation: 122/61=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 122/61=2
Current State: 81:[79, 2], Operations: ['50+72=122', '122/61=2']
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
40,
89,
17,
58
] | 89 | [
"40+17=57",
"58-57=1",
"89*1=89"
] | Current State: 89:[40, 89, 17, 58], Operations: []
Exploring Operation: 40+17=57, Resulting Numbers: [89, 58, 57]
Generated Node #2: [89, 58, 57] from Operation: 40+17=57
Current State: 89:[89, 58, 57], Operations: ['40+17=57']
Exploring Operation: 58-57=1, Resulting Numbers: [89, 1]
Generated Node #3: [89, 1] from Operation: 58-57=1
Current State: 89:[89, 1], Operations: ['40+17=57', '58-57=1']
Exploring Operation: 89*1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
54,
98,
33,
66
] | 53 | [
"54+98=152",
"33+66=99",
"152-99=53"
] | Current State: 53:[54, 98, 33, 66], Operations: []
Exploring Operation: 54+98=152, Resulting Numbers: [33, 66, 152]
Generated Node #2: [33, 66, 152] from Operation: 54+98=152
Current State: 53:[33, 66, 152], Operations: ['54+98=152']
Exploring Operation: 33+66=99, Resulting Numbers: [152, 99]
Generated Node #3: [152, 99] from Operation: 33+66=99
Current State: 53:[152, 99], Operations: ['54+98=152', '33+66=99']
Exploring Operation: 152-99=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
35,
50,
14,
10
] | 89 | [
"35+50=85",
"14-10=4",
"85+4=89"
] | Current State: 89:[35, 50, 14, 10], Operations: []
Exploring Operation: 35+50=85, Resulting Numbers: [14, 10, 85]
Generated Node #2: [14, 10, 85] from Operation: 35+50=85
Current State: 89:[14, 10, 85], Operations: ['35+50=85']
Exploring Operation: 14-10=4, Resulting Numbers: [85, 4]
Generated Node #3: [85, 4] from Operation: 14-10=4
Current State: 89:[85, 4], Operations: ['35+50=85', '14-10=4']
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
96,
77,
10,
34
] | 90 | [
"96+34=130",
"130/10=13",
"77+13=90"
] | Current State: 90:[96, 77, 10, 34], Operations: []
Exploring Operation: 96+34=130, Resulting Numbers: [77, 10, 130]
Generated Node #2: [77, 10, 130] from Operation: 96+34=130
Current State: 90:[77, 10, 130], Operations: ['96+34=130']
Exploring Operation: 130/10=13, Resulting Numbers: [77, 13]
Generated Node #3: [77, 13] from Operation: 130/10=13
Current State: 90:[77, 13], Operations: ['96+34=130', '130/10=13']
Exploring Operation: 77+13=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
20,
55,
14,
58
] | 79 | [
"55-20=35",
"58-14=44",
"35+44=79"
] | Current State: 79:[20, 55, 14, 58], Operations: []
Exploring Operation: 55-20=35, Resulting Numbers: [14, 58, 35]
Generated Node #2: [14, 58, 35] from Operation: 55-20=35
Current State: 79:[14, 58, 35], Operations: ['55-20=35']
Exploring Operation: 58-14=44, Resulting Numbers: [35, 44]
Generated Node #3: [35, 44] from Operation: 58-14=44
Current State: 79:[35, 44], Operations: ['55-20=35', '58-14=44']
Exploring Operation: 35+44=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
34,
95,
50,
64
] | 57 | [
"64-34=30",
"95*30=2850",
"2850/50=57"
] | Current State: 57:[34, 95, 50, 64], Operations: []
Exploring Operation: 64-34=30, Resulting Numbers: [95, 50, 30]
Generated Node #2: [95, 50, 30] from Operation: 64-34=30
Current State: 57:[95, 50, 30], Operations: ['64-34=30']
Exploring Operation: 95*30=2850, Resulting Numbers: [50, 2850]
Generated Node #3: [50, 2850] from Operation: 95*30=2850
Current State: 57:[50, 2850], Operations: ['64-34=30', '95*30=2850']
Exploring Operation: 2850/50=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
52,
27,
93,
25
] | 93 | [
"52-27=25",
"93+25=118",
"118-25=93"
] | Current State: 93:[52, 27, 93, 25], Operations: []
Exploring Operation: 52-27=25, Resulting Numbers: [93, 25, 25]
Generated Node #2: [93, 25, 25] from Operation: 52-27=25
Current State: 93:[93, 25, 25], Operations: ['52-27=25']
Exploring Operation: 93+25=118, Resulting Numbers: [118]
118,93 equal: Goal Reached
Exploring Operation: 118-25=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
3,
12,
28,
33
] | 75 | [
"3+12=15",
"33-28=5",
"15*5=75"
] | Current State: 75:[3, 12, 28, 33], Operations: []
Exploring Operation: 3+12=15, Resulting Numbers: [28, 33, 15]
Generated Node #2: [28, 33, 15] from Operation: 3+12=15
Current State: 75:[28, 33, 15], Operations: ['3+12=15']
Exploring Operation: 33-28=5, Resulting Numbers: [15, 5]
Generated Node #3: [15, 5] from Operation: 33-28=5
Current State: 75:[15, 5], Operations: ['3+12=15', '33-28=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
75,
45,
21,
34
] | 65 | [
"75+45=120",
"21+34=55",
"120-55=65"
] | Current State: 65:[75, 45, 21, 34], Operations: []
Exploring Operation: 75+45=120, Resulting Numbers: [21, 34, 120]
Generated Node #2: [21, 34, 120] from Operation: 75+45=120
Current State: 65:[21, 34, 120], Operations: ['75+45=120']
Exploring Operation: 21+34=55, Resulting Numbers: [120, 55]
Generated Node #3: [120, 55] from Operation: 21+34=55
Current State: 65:[120, 55], Operations: ['75+45=120', '21+34=55']
Exploring Operation: 120-55=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
92,
33,
73,
29
] | 96 | [
"33-29=4",
"92/4=23",
"73+23=96"
] | Current State: 96:[92, 33, 73, 29], Operations: []
Exploring Operation: 33-29=4, Resulting Numbers: [92, 73, 4]
Generated Node #2: [92, 73, 4] from Operation: 33-29=4
Current State: 96:[92, 73, 4], Operations: ['33-29=4']
Exploring Operation: 92/4=23, Resulting Numbers: [73, 23]
Generated Node #3: [73, 23] from Operation: 92/4=23
Current State: 96:[73, 23], Operations: ['33-29=4', '92/4=23']
Exploring Operation: 73+23=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
3,
86,
21,
74
] | 73 | [
"74-21=53",
"3*53=159",
"159-86=73"
] | Current State: 73:[3, 86, 21, 74], Operations: []
Exploring Operation: 74-21=53, Resulting Numbers: [3, 86, 53]
Generated Node #2: [3, 86, 53] from Operation: 74-21=53
Current State: 73:[3, 86, 53], Operations: ['74-21=53']
Exploring Operation: 3*53=159, Resulting Numbers: [86, 159]
Generated Node #3: [86, 159] from Operation: 3*53=159
Current State: 73:[86, 159], Operations: ['74-21=53', '3*53=159']
Exploring Operation: 159-86=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
31,
26,
25,
55
] | 26 | [
"31+25=56",
"56-55=1",
"26*1=26"
] | Current State: 26:[31, 26, 25, 55], Operations: []
Exploring Operation: 31+25=56, Resulting Numbers: [26, 55, 56]
Generated Node #2: [26, 55, 56] from Operation: 31+25=56
Current State: 26:[26, 55, 56], Operations: ['31+25=56']
Exploring Operation: 56-55=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 56-55=1
Current State: 26:[26, 1], Operations: ['31+25=56', '56-55=1']
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
73,
74,
33,
47
] | 67 | [
"73+74=147",
"33+47=80",
"147-80=67"
] | Current State: 67:[73, 74, 33, 47], Operations: []
Exploring Operation: 73+74=147, Resulting Numbers: [33, 47, 147]
Generated Node #2: [33, 47, 147] from Operation: 73+74=147
Current State: 67:[33, 47, 147], Operations: ['73+74=147']
Exploring Operation: 33+47=80, Resulting Numbers: [147, 80]
Generated Node #3: [147, 80] from Operation: 33+47=80
Current State: 67:[147, 80], Operations: ['73+74=147', '33+47=80']
Exploring Operation: 147-80=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
82,
17,
87,
89
] | 48 | [
"89-87=2",
"17*2=34",
"82-34=48"
] | Current State: 48:[82, 17, 87, 89], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [82, 17, 2]
Generated Node #2: [82, 17, 2] from Operation: 89-87=2
Current State: 48:[82, 17, 2], Operations: ['89-87=2']
Exploring Operation: 17*2=34, Resulting Numbers: [82, 34]
Generated Node #3: [82, 34] from Operation: 17*2=34
Current State: 48:[82, 34], Operations: ['89-87=2', '17*2=34']
Exploring Operation: 82-34=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
58,
4,
6,
65
] | 99 | [
"58+65=123",
"4*6=24",
"123-24=99"
] | Current State: 99:[58, 4, 6, 65], Operations: []
Exploring Operation: 58+65=123, Resulting Numbers: [4, 6, 123]
Generated Node #2: [4, 6, 123] from Operation: 58+65=123
Current State: 99:[4, 6, 123], Operations: ['58+65=123']
Exploring Operation: 4*6=24, Resulting Numbers: [123, 24]
Generated Node #3: [123, 24] from Operation: 4*6=24
Current State: 99:[123, 24], Operations: ['58+65=123', '4*6=24']
Exploring Operation: 123-24=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
67,
33,
5,
55
] | 40 | [
"67+33=100",
"5+55=60",
"100-60=40"
] | Current State: 40:[67, 33, 5, 55], Operations: []
Exploring Operation: 67+33=100, Resulting Numbers: [5, 55, 100]
Generated Node #2: [5, 55, 100] from Operation: 67+33=100
Current State: 40:[5, 55, 100], Operations: ['67+33=100']
Exploring Operation: 5+55=60, Resulting Numbers: [100, 60]
Generated Node #3: [100, 60] from Operation: 5+55=60
Current State: 40:[100, 60], Operations: ['67+33=100', '5+55=60']
Exploring Operation: 100-60=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
23,
38,
82,
95
] | 28 | [
"38-23=15",
"95-82=13",
"15+13=28"
] | Current State: 28:[23, 38, 82, 95], Operations: []
Exploring Operation: 38-23=15, Resulting Numbers: [82, 95, 15]
Generated Node #2: [82, 95, 15] from Operation: 38-23=15
Current State: 28:[82, 95, 15], Operations: ['38-23=15']
Exploring Operation: 95-82=13, Resulting Numbers: [15, 13]
Generated Node #3: [15, 13] from Operation: 95-82=13
Current State: 28:[15, 13], Operations: ['38-23=15', '95-82=13']
Exploring Operation: 15+13=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
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