nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
54,
75,
98,
47
] | 72 | [
"75-54=21",
"98-47=51",
"21+51=72"
] | Current State: 72:[54, 75, 98, 47], Operations: []
Exploring Operation: 75-54=21, Resulting Numbers: [98, 47, 21]
Generated Node #2: [98, 47, 21] from Operation: 75-54=21
Current State: 72:[98, 47, 21], Operations: ['75-54=21']
Exploring Operation: 98-47=51, Resulting Numbers: [21, 51]
Generated Node #3: [21, 51] from Operation: 98-47=51
Current State: 72:[21, 51], Operations: ['75-54=21', '98-47=51']
Exploring Operation: 21+51=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
49,
50,
86,
67
] | 19 | [
"50-49=1",
"86-67=19",
"1*19=19"
] | Current State: 19:[49, 50, 86, 67], Operations: []
Exploring Operation: 50-49=1, Resulting Numbers: [86, 67, 1]
Generated Node #2: [86, 67, 1] from Operation: 50-49=1
Current State: 19:[86, 67, 1], Operations: ['50-49=1']
Exploring Operation: 86-67=19, Resulting Numbers: [1, 19]
Generated Node #3: [1, 19] from Operation: 86-67=19
Current State: 19:[1, 19], Operations: ['50-49=1', '86-67=19']
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
76,
61,
53,
4
] | 74 | [
"61-53=8",
"8/4=2",
"76-2=74"
] | Current State: 74:[76, 61, 53, 4], Operations: []
Exploring Operation: 61-53=8, Resulting Numbers: [76, 4, 8]
Generated Node #2: [76, 4, 8] from Operation: 61-53=8
Current State: 74:[76, 4, 8], Operations: ['61-53=8']
Exploring Operation: 8/4=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 8/4=2
Current State: 74:[76, 2], Operations: ['61-53=8', '8/4=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
8,
81,
39,
83
] | 68 | [
"81+39=120",
"120/8=15",
"83-15=68"
] | Current State: 68:[8, 81, 39, 83], Operations: []
Exploring Operation: 81+39=120, Resulting Numbers: [8, 83, 120]
Generated Node #2: [8, 83, 120] from Operation: 81+39=120
Current State: 68:[8, 83, 120], Operations: ['81+39=120']
Exploring Operation: 120/8=15, Resulting Numbers: [83, 15]
Generated Node #3: [83, 15] from Operation: 120/8=15
Current State: 68:[83, 15], Operations: ['81+39=120', '120/8=15']
Exploring Operation: 83-15=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
9,
52,
2,
17
] | 51 | [
"9*2=18",
"52+17=69",
"69-18=51"
] | Current State: 51:[9, 52, 2, 17], Operations: []
Exploring Operation: 9*2=18, Resulting Numbers: [52, 17, 18]
Generated Node #2: [52, 17, 18] from Operation: 9*2=18
Current State: 51:[52, 17, 18], Operations: ['9*2=18']
Exploring Operation: 52+17=69, Resulting Numbers: [18, 69]
Generated Node #3: [18, 69] from Operation: 52+17=69
Current State: 51:[18, 69], Operations: ['9*2=18', '52+17=69']
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
66,
82,
2,
79
] | 29 | [
"66*2=132",
"82+79=161",
"161-132=29"
] | Current State: 29:[66, 82, 2, 79], Operations: []
Exploring Operation: 66*2=132, Resulting Numbers: [82, 79, 132]
Generated Node #2: [82, 79, 132] from Operation: 66*2=132
Current State: 29:[82, 79, 132], Operations: ['66*2=132']
Exploring Operation: 82+79=161, Resulting Numbers: [132, 161]
Generated Node #3: [132, 161] from Operation: 82+79=161
Current State: 29:[132, 161], Operations: ['66*2=132', '82+79=161']
Exploring Operation: 161-132=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
14,
24,
77,
46
] | 69 | [
"14+24=38",
"77-46=31",
"38+31=69"
] | Current State: 69:[14, 24, 77, 46], Operations: []
Exploring Operation: 14+24=38, Resulting Numbers: [77, 46, 38]
Generated Node #2: [77, 46, 38] from Operation: 14+24=38
Current State: 69:[77, 46, 38], Operations: ['14+24=38']
Exploring Operation: 77-46=31, Resulting Numbers: [38, 31]
Generated Node #3: [38, 31] from Operation: 77-46=31
Current State: 69:[38, 31], Operations: ['14+24=38', '77-46=31']
Exploring Operation: 38+31=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
64,
54,
37,
45
] | 18 | [
"64-54=10",
"45-37=8",
"10+8=18"
] | Current State: 18:[64, 54, 37, 45], Operations: []
Exploring Operation: 64-54=10, Resulting Numbers: [37, 45, 10]
Generated Node #2: [37, 45, 10] from Operation: 64-54=10
Current State: 18:[37, 45, 10], Operations: ['64-54=10']
Exploring Operation: 45-37=8, Resulting Numbers: [10, 8]
Generated Node #3: [10, 8] from Operation: 45-37=8
Current State: 18:[10, 8], Operations: ['64-54=10', '45-37=8']
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
7,
4,
41,
70
] | 83 | [
"7*4=28",
"41+70=111",
"111-28=83"
] | Current State: 83:[7, 4, 41, 70], Operations: []
Exploring Operation: 7*4=28, Resulting Numbers: [41, 70, 28]
Generated Node #2: [41, 70, 28] from Operation: 7*4=28
Current State: 83:[41, 70, 28], Operations: ['7*4=28']
Exploring Operation: 41+70=111, Resulting Numbers: [28, 111]
Generated Node #3: [28, 111] from Operation: 41+70=111
Current State: 83:[28, 111], Operations: ['7*4=28', '41+70=111']
Exploring Operation: 111-28=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
30,
70,
24,
65
] | 30 | [
"30-24=6",
"70-65=5",
"6*5=30"
] | Current State: 30:[30, 70, 24, 65], Operations: []
Exploring Operation: 30-24=6, Resulting Numbers: [70, 65, 6]
Generated Node #2: [70, 65, 6] from Operation: 30-24=6
Current State: 30:[70, 65, 6], Operations: ['30-24=6']
Exploring Operation: 70-65=5, Resulting Numbers: [6, 5]
Generated Node #3: [6, 5] from Operation: 70-65=5
Current State: 30:[6, 5], Operations: ['30-24=6', '70-65=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
56,
57,
25,
50
] | 55 | [
"56*50=2800",
"2800/25=112",
"112-57=55"
] | Current State: 55:[56, 57, 25, 50], Operations: []
Exploring Operation: 56*50=2800, Resulting Numbers: [57, 25, 2800]
Generated Node #2: [57, 25, 2800] from Operation: 56*50=2800
Current State: 55:[57, 25, 2800], Operations: ['56*50=2800']
Exploring Operation: 2800/25=112, Resulting Numbers: [57, 112]
Generated Node #3: [57, 112] from Operation: 2800/25=112
Current State: 55:[57, 112], Operations: ['56*50=2800', '2800/25=112']
Exploring Operation: 112-57=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
61,
54,
7,
23
] | 72 | [
"61-54=7",
"7*7=49",
"23+49=72"
] | Current State: 72:[61, 54, 7, 23], Operations: []
Exploring Operation: 61-54=7, Resulting Numbers: [7, 23, 7]
Generated Node #2: [7, 23, 7] from Operation: 61-54=7
Current State: 72:[7, 23, 7], Operations: ['61-54=7']
Exploring Operation: 7*7=49, Resulting Numbers: [23, 49]
Generated Node #3: [23, 49] from Operation: 7*7=49
Current State: 72:[23, 49], Operations: ['61-54=7', '7*7=49']
Exploring Operation: 23+49=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
12,
34,
11,
5
] | 30 | [
"12+34=46",
"11+5=16",
"46-16=30"
] | Current State: 30:[12, 34, 11, 5], Operations: []
Exploring Operation: 12+34=46, Resulting Numbers: [11, 5, 46]
Generated Node #2: [11, 5, 46] from Operation: 12+34=46
Current State: 30:[11, 5, 46], Operations: ['12+34=46']
Exploring Operation: 11+5=16, Resulting Numbers: [46, 16]
Generated Node #3: [46, 16] from Operation: 11+5=16
Current State: 30:[46, 16], Operations: ['12+34=46', '11+5=16']
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
63,
48,
8,
69
] | 16 | [
"69-63=6",
"48/6=8",
"8+8=16"
] | Current State: 16:[63, 48, 8, 69], Operations: []
Exploring Operation: 69-63=6, Resulting Numbers: [48, 8, 6]
Generated Node #2: [48, 8, 6] from Operation: 69-63=6
Current State: 16:[48, 8, 6], Operations: ['69-63=6']
Exploring Operation: 48/6=8, Resulting Numbers: [8, 8]
Generated Node #3: [8, 8] from Operation: 48/6=8
Current State: 16:[8, 8], Operations: ['69-63=6', '48/6=8']
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
8,
36,
69,
81
] | 87 | [
"8*81=648",
"648/36=18",
"69+18=87"
] | Current State: 87:[8, 36, 69, 81], Operations: []
Exploring Operation: 8*81=648, Resulting Numbers: [36, 69, 648]
Generated Node #2: [36, 69, 648] from Operation: 8*81=648
Current State: 87:[36, 69, 648], Operations: ['8*81=648']
Exploring Operation: 648/36=18, Resulting Numbers: [69, 18]
Generated Node #3: [69, 18] from Operation: 648/36=18
Current State: 87:[69, 18], Operations: ['8*81=648', '648/36=18']
Exploring Operation: 69+18=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
66,
58,
42,
2
] | 100 | [
"66-58=8",
"42+8=50",
"2*50=100"
] | Current State: 100:[66, 58, 42, 2], Operations: []
Exploring Operation: 66-58=8, Resulting Numbers: [42, 2, 8]
Generated Node #2: [42, 2, 8] from Operation: 66-58=8
Current State: 100:[42, 2, 8], Operations: ['66-58=8']
Exploring Operation: 42+8=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 42+8=50
Current State: 100:[2, 50], Operations: ['66-58=8', '42+8=50']
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
95,
21,
12,
36
] | 32 | [
"21*36=756",
"756/12=63",
"95-63=32"
] | Current State: 32:[95, 21, 12, 36], Operations: []
Exploring Operation: 21*36=756, Resulting Numbers: [95, 12, 756]
Generated Node #2: [95, 12, 756] from Operation: 21*36=756
Current State: 32:[95, 12, 756], Operations: ['21*36=756']
Exploring Operation: 756/12=63, Resulting Numbers: [95, 63]
Generated Node #3: [95, 63] from Operation: 756/12=63
Current State: 32:[95, 63], Operations: ['21*36=756', '756/12=63']
Exploring Operation: 95-63=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
76,
71,
7,
80
] | 59 | [
"76+71=147",
"147/7=21",
"80-21=59"
] | Current State: 59:[76, 71, 7, 80], Operations: []
Exploring Operation: 76+71=147, Resulting Numbers: [7, 80, 147]
Generated Node #2: [7, 80, 147] from Operation: 76+71=147
Current State: 59:[7, 80, 147], Operations: ['76+71=147']
Exploring Operation: 147/7=21, Resulting Numbers: [80, 21]
Generated Node #3: [80, 21] from Operation: 147/7=21
Current State: 59:[80, 21], Operations: ['76+71=147', '147/7=21']
Exploring Operation: 80-21=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
12,
65,
85,
79
] | 97 | [
"65+79=144",
"144/12=12",
"85+12=97"
] | Current State: 97:[12, 65, 85, 79], Operations: []
Exploring Operation: 65+79=144, Resulting Numbers: [12, 85, 144]
Generated Node #2: [12, 85, 144] from Operation: 65+79=144
Current State: 97:[12, 85, 144], Operations: ['65+79=144']
Exploring Operation: 144/12=12, Resulting Numbers: [85, 12]
Generated Node #3: [85, 12] from Operation: 144/12=12
Current State: 97:[85, 12], Operations: ['65+79=144', '144/12=12']
Exploring Operation: 85+12=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
5,
98,
71,
99
] | 67 | [
"5+98=103",
"71+99=170",
"170-103=67"
] | Current State: 67:[5, 98, 71, 99], Operations: []
Exploring Operation: 5+98=103, Resulting Numbers: [71, 99, 103]
Generated Node #2: [71, 99, 103] from Operation: 5+98=103
Current State: 67:[71, 99, 103], Operations: ['5+98=103']
Exploring Operation: 71+99=170, Resulting Numbers: [103, 170]
Generated Node #3: [103, 170] from Operation: 71+99=170
Current State: 67:[103, 170], Operations: ['5+98=103', '71+99=170']
Exploring Operation: 170-103=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
10,
4,
91,
1
] | 13 | [
"10-4=6",
"1+6=7",
"91/7=13"
] | Current State: 13:[10, 4, 91, 1], Operations: []
Exploring Operation: 10-4=6, Resulting Numbers: [91, 1, 6]
Generated Node #2: [91, 1, 6] from Operation: 10-4=6
Current State: 13:[91, 1, 6], Operations: ['10-4=6']
Exploring Operation: 1+6=7, Resulting Numbers: [91, 7]
Generated Node #3: [91, 7] from Operation: 1+6=7
Current State: 13:[91, 7], Operations: ['10-4=6', '1+6=7']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
2,
61,
17,
55
] | 13 | [
"61-2=59",
"17+55=72",
"72-59=13"
] | Current State: 13:[2, 61, 17, 55], Operations: []
Exploring Operation: 61-2=59, Resulting Numbers: [17, 55, 59]
Generated Node #2: [17, 55, 59] from Operation: 61-2=59
Current State: 13:[17, 55, 59], Operations: ['61-2=59']
Exploring Operation: 17+55=72, Resulting Numbers: [59, 72]
Generated Node #3: [59, 72] from Operation: 17+55=72
Current State: 13:[59, 72], Operations: ['61-2=59', '17+55=72']
Exploring Operation: 72-59=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
96,
11,
6,
80
] | 16 | [
"96/6=16",
"16-11=5",
"80/5=16"
] | Current State: 16:[96, 11, 6, 80], Operations: []
Exploring Operation: 96/6=16, Resulting Numbers: [11, 80, 16]
Generated Node #2: [11, 80, 16] from Operation: 96/6=16
Current State: 16:[11, 80, 16], Operations: ['96/6=16']
Exploring Operation: 16-11=5, Resulting Numbers: [80, 5]
Generated Node #3: [80, 5] from Operation: 16-11=5
Current State: 16:[80, 5], Operations: ['96/6=16', '16-11=5']
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
2,
55,
66,
21
] | 83 | [
"55-21=34",
"34/2=17",
"66+17=83"
] | Current State: 83:[2, 55, 66, 21], Operations: []
Exploring Operation: 55-21=34, Resulting Numbers: [2, 66, 34]
Generated Node #2: [2, 66, 34] from Operation: 55-21=34
Current State: 83:[2, 66, 34], Operations: ['55-21=34']
Exploring Operation: 34/2=17, Resulting Numbers: [66, 17]
Generated Node #3: [66, 17] from Operation: 34/2=17
Current State: 83:[66, 17], Operations: ['55-21=34', '34/2=17']
Exploring Operation: 66+17=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
53,
51,
24,
6
] | 42 | [
"53-51=2",
"24*2=48",
"48-6=42"
] | Current State: 42:[53, 51, 24, 6], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [24, 6, 2]
Generated Node #2: [24, 6, 2] from Operation: 53-51=2
Current State: 42:[24, 6, 2], Operations: ['53-51=2']
Exploring Operation: 24*2=48, Resulting Numbers: [6, 48]
Generated Node #3: [6, 48] from Operation: 24*2=48
Current State: 42:[6, 48], Operations: ['53-51=2', '24*2=48']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
58,
38,
9,
59
] | 30 | [
"58-38=20",
"59-9=50",
"50-20=30"
] | Current State: 30:[58, 38, 9, 59], Operations: []
Exploring Operation: 58-38=20, Resulting Numbers: [9, 59, 20]
Generated Node #2: [9, 59, 20] from Operation: 58-38=20
Current State: 30:[9, 59, 20], Operations: ['58-38=20']
Exploring Operation: 59-9=50, Resulting Numbers: [20, 50]
Generated Node #3: [20, 50] from Operation: 59-9=50
Current State: 30:[20, 50], Operations: ['58-38=20', '59-9=50']
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
46,
27,
29,
3
] | 51 | [
"46-27=19",
"29+3=32",
"19+32=51"
] | Current State: 51:[46, 27, 29, 3], Operations: []
Exploring Operation: 46-27=19, Resulting Numbers: [29, 3, 19]
Generated Node #2: [29, 3, 19] from Operation: 46-27=19
Current State: 51:[29, 3, 19], Operations: ['46-27=19']
Exploring Operation: 29+3=32, Resulting Numbers: [19, 32]
Generated Node #3: [19, 32] from Operation: 29+3=32
Current State: 51:[19, 32], Operations: ['46-27=19', '29+3=32']
Exploring Operation: 19+32=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
74,
44,
18
] | 42 | [
"74-44=30",
"2*30=60",
"60-18=42"
] | Current State: 42:[2, 74, 44, 18], Operations: []
Exploring Operation: 74-44=30, Resulting Numbers: [2, 18, 30]
Generated Node #2: [2, 18, 30] from Operation: 74-44=30
Current State: 42:[2, 18, 30], Operations: ['74-44=30']
Exploring Operation: 2*30=60, Resulting Numbers: [18, 60]
Generated Node #3: [18, 60] from Operation: 2*30=60
Current State: 42:[18, 60], Operations: ['74-44=30', '2*30=60']
Exploring Operation: 60-18=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
89,
35,
93,
55
] | 16 | [
"89-35=54",
"93-55=38",
"54-38=16"
] | Current State: 16:[89, 35, 93, 55], Operations: []
Exploring Operation: 89-35=54, Resulting Numbers: [93, 55, 54]
Generated Node #2: [93, 55, 54] from Operation: 89-35=54
Current State: 16:[93, 55, 54], Operations: ['89-35=54']
Exploring Operation: 93-55=38, Resulting Numbers: [54, 38]
Generated Node #3: [54, 38] from Operation: 93-55=38
Current State: 16:[54, 38], Operations: ['89-35=54', '93-55=38']
Exploring Operation: 54-38=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
25,
50,
5,
41
] | 87 | [
"50/25=2",
"41*2=82",
"5+82=87"
] | Current State: 87:[25, 50, 5, 41], Operations: []
Exploring Operation: 50/25=2, Resulting Numbers: [5, 41, 2]
Generated Node #2: [5, 41, 2] from Operation: 50/25=2
Current State: 87:[5, 41, 2], Operations: ['50/25=2']
Exploring Operation: 41*2=82, Resulting Numbers: [5, 82]
Generated Node #3: [5, 82] from Operation: 41*2=82
Current State: 87:[5, 82], Operations: ['50/25=2', '41*2=82']
Exploring Operation: 5+82=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
63,
52,
18,
32
] | 70 | [
"52-32=20",
"63*20=1260",
"1260/18=70"
] | Current State: 70:[63, 52, 18, 32], Operations: []
Exploring Operation: 52-32=20, Resulting Numbers: [63, 18, 20]
Generated Node #2: [63, 18, 20] from Operation: 52-32=20
Current State: 70:[63, 18, 20], Operations: ['52-32=20']
Exploring Operation: 63*20=1260, Resulting Numbers: [18, 1260]
Generated Node #3: [18, 1260] from Operation: 63*20=1260
Current State: 70:[18, 1260], Operations: ['52-32=20', '63*20=1260']
Exploring Operation: 1260/18=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
23,
45,
89,
4
] | 42 | [
"23*4=92",
"45+89=134",
"134-92=42"
] | Current State: 42:[23, 45, 89, 4], Operations: []
Exploring Operation: 23*4=92, Resulting Numbers: [45, 89, 92]
Generated Node #2: [45, 89, 92] from Operation: 23*4=92
Current State: 42:[45, 89, 92], Operations: ['23*4=92']
Exploring Operation: 45+89=134, Resulting Numbers: [92, 134]
Generated Node #3: [92, 134] from Operation: 45+89=134
Current State: 42:[92, 134], Operations: ['23*4=92', '45+89=134']
Exploring Operation: 134-92=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
88,
22,
47,
49
] | 77 | [
"49-47=2",
"22/2=11",
"88-11=77"
] | Current State: 77:[88, 22, 47, 49], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [88, 22, 2]
Generated Node #2: [88, 22, 2] from Operation: 49-47=2
Current State: 77:[88, 22, 2], Operations: ['49-47=2']
Exploring Operation: 22/2=11, Resulting Numbers: [88, 11]
Generated Node #3: [88, 11] from Operation: 22/2=11
Current State: 77:[88, 11], Operations: ['49-47=2', '22/2=11']
Exploring Operation: 88-11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
4,
28,
37,
8
] | 81 | [
"37*8=296",
"28+296=324",
"324/4=81"
] | Current State: 81:[4, 28, 37, 8], Operations: []
Exploring Operation: 37*8=296, Resulting Numbers: [4, 28, 296]
Generated Node #2: [4, 28, 296] from Operation: 37*8=296
Current State: 81:[4, 28, 296], Operations: ['37*8=296']
Exploring Operation: 28+296=324, Resulting Numbers: [4, 324]
Generated Node #3: [4, 324] from Operation: 28+296=324
Current State: 81:[4, 324], Operations: ['37*8=296', '28+296=324']
Exploring Operation: 324/4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
19,
17,
27,
6
] | 69 | [
"19+17=36",
"27+6=33",
"36+33=69"
] | Current State: 69:[19, 17, 27, 6], Operations: []
Exploring Operation: 19+17=36, Resulting Numbers: [27, 6, 36]
Generated Node #2: [27, 6, 36] from Operation: 19+17=36
Current State: 69:[27, 6, 36], Operations: ['19+17=36']
Exploring Operation: 27+6=33, Resulting Numbers: [36, 33]
Generated Node #3: [36, 33] from Operation: 27+6=33
Current State: 69:[36, 33], Operations: ['19+17=36', '27+6=33']
Exploring Operation: 36+33=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
92,
83,
17,
82
] | 75 | [
"92-17=75",
"83-82=1",
"75*1=75"
] | Current State: 75:[92, 83, 17, 82], Operations: []
Exploring Operation: 92-17=75, Resulting Numbers: [83, 82, 75]
Generated Node #2: [83, 82, 75] from Operation: 92-17=75
Current State: 75:[83, 82, 75], Operations: ['92-17=75']
Exploring Operation: 83-82=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 83-82=1
Current State: 75:[75, 1], Operations: ['92-17=75', '83-82=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
22,
25,
27,
72
] | 52 | [
"22+25=47",
"27+72=99",
"99-47=52"
] | Current State: 52:[22, 25, 27, 72], Operations: []
Exploring Operation: 22+25=47, Resulting Numbers: [27, 72, 47]
Generated Node #2: [27, 72, 47] from Operation: 22+25=47
Current State: 52:[27, 72, 47], Operations: ['22+25=47']
Exploring Operation: 27+72=99, Resulting Numbers: [47, 99]
Generated Node #3: [47, 99] from Operation: 27+72=99
Current State: 52:[47, 99], Operations: ['22+25=47', '27+72=99']
Exploring Operation: 99-47=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
72,
77,
74,
46
] | 62 | [
"74-72=2",
"77-46=31",
"2*31=62"
] | Current State: 62:[72, 77, 74, 46], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [77, 46, 2]
Generated Node #2: [77, 46, 2] from Operation: 74-72=2
Current State: 62:[77, 46, 2], Operations: ['74-72=2']
Exploring Operation: 77-46=31, Resulting Numbers: [2, 31]
Generated Node #3: [2, 31] from Operation: 77-46=31
Current State: 62:[2, 31], Operations: ['74-72=2', '77-46=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
35,
27,
34,
2
] | 49 | [
"34-27=7",
"2*7=14",
"35+14=49"
] | Current State: 49:[35, 27, 34, 2], Operations: []
Exploring Operation: 34-27=7, Resulting Numbers: [35, 2, 7]
Generated Node #2: [35, 2, 7] from Operation: 34-27=7
Current State: 49:[35, 2, 7], Operations: ['34-27=7']
Exploring Operation: 2*7=14, Resulting Numbers: [35, 14]
Generated Node #3: [35, 14] from Operation: 2*7=14
Current State: 49:[35, 14], Operations: ['34-27=7', '2*7=14']
Exploring Operation: 35+14=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
68,
13,
19,
92
] | 87 | [
"68+92=160",
"13*19=247",
"247-160=87"
] | Current State: 87:[68, 13, 19, 92], Operations: []
Exploring Operation: 68+92=160, Resulting Numbers: [13, 19, 160]
Generated Node #2: [13, 19, 160] from Operation: 68+92=160
Current State: 87:[13, 19, 160], Operations: ['68+92=160']
Exploring Operation: 13*19=247, Resulting Numbers: [160, 247]
Generated Node #3: [160, 247] from Operation: 13*19=247
Current State: 87:[160, 247], Operations: ['68+92=160', '13*19=247']
Exploring Operation: 247-160=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
64,
62,
81,
1
] | 44 | [
"64+62=126",
"81+1=82",
"126-82=44"
] | Current State: 44:[64, 62, 81, 1], Operations: []
Exploring Operation: 64+62=126, Resulting Numbers: [81, 1, 126]
Generated Node #2: [81, 1, 126] from Operation: 64+62=126
Current State: 44:[81, 1, 126], Operations: ['64+62=126']
Exploring Operation: 81+1=82, Resulting Numbers: [126, 82]
Generated Node #3: [126, 82] from Operation: 81+1=82
Current State: 44:[126, 82], Operations: ['64+62=126', '81+1=82']
Exploring Operation: 126-82=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
28,
7,
14,
14
] | 84 | [
"28+14=42",
"14/7=2",
"42*2=84"
] | Current State: 84:[28, 7, 14, 14], Operations: []
Exploring Operation: 28+14=42, Resulting Numbers: [7, 42]
Generated Node #2: [7, 42] from Operation: 28+14=42
Current State: 84:[7, 42], Operations: ['28+14=42']
Exploring Operation: 14/7=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 14/7=2
Current State: 84:[42, 2], Operations: ['28+14=42', '14/7=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
23,
10,
48,
92
] | 31 | [
"23-10=13",
"92-48=44",
"44-13=31"
] | Current State: 31:[23, 10, 48, 92], Operations: []
Exploring Operation: 23-10=13, Resulting Numbers: [48, 92, 13]
Generated Node #2: [48, 92, 13] from Operation: 23-10=13
Current State: 31:[48, 92, 13], Operations: ['23-10=13']
Exploring Operation: 92-48=44, Resulting Numbers: [13, 44]
Generated Node #3: [13, 44] from Operation: 92-48=44
Current State: 31:[13, 44], Operations: ['23-10=13', '92-48=44']
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
17,
92,
28,
30
] | 77 | [
"92-17=75",
"30-28=2",
"75+2=77"
] | Current State: 77:[17, 92, 28, 30], Operations: []
Exploring Operation: 92-17=75, Resulting Numbers: [28, 30, 75]
Generated Node #2: [28, 30, 75] from Operation: 92-17=75
Current State: 77:[28, 30, 75], Operations: ['92-17=75']
Exploring Operation: 30-28=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 30-28=2
Current State: 77:[75, 2], Operations: ['92-17=75', '30-28=2']
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
17,
21,
78,
7
] | 58 | [
"78-17=61",
"21/7=3",
"61-3=58"
] | Current State: 58:[17, 21, 78, 7], Operations: []
Exploring Operation: 78-17=61, Resulting Numbers: [21, 7, 61]
Generated Node #2: [21, 7, 61] from Operation: 78-17=61
Current State: 58:[21, 7, 61], Operations: ['78-17=61']
Exploring Operation: 21/7=3, Resulting Numbers: [61, 3]
Generated Node #3: [61, 3] from Operation: 21/7=3
Current State: 58:[61, 3], Operations: ['78-17=61', '21/7=3']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
4,
60,
45,
86
] | 34 | [
"4*45=180",
"60+86=146",
"180-146=34"
] | Current State: 34:[4, 60, 45, 86], Operations: []
Exploring Operation: 4*45=180, Resulting Numbers: [60, 86, 180]
Generated Node #2: [60, 86, 180] from Operation: 4*45=180
Current State: 34:[60, 86, 180], Operations: ['4*45=180']
Exploring Operation: 60+86=146, Resulting Numbers: [180, 146]
Generated Node #3: [180, 146] from Operation: 60+86=146
Current State: 34:[180, 146], Operations: ['4*45=180', '60+86=146']
Exploring Operation: 180-146=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
27,
8,
53,
39
] | 65 | [
"53-8=45",
"39*45=1755",
"1755/27=65"
] | Current State: 65:[27, 8, 53, 39], Operations: []
Exploring Operation: 53-8=45, Resulting Numbers: [27, 39, 45]
Generated Node #2: [27, 39, 45] from Operation: 53-8=45
Current State: 65:[27, 39, 45], Operations: ['53-8=45']
Exploring Operation: 39*45=1755, Resulting Numbers: [27, 1755]
Generated Node #3: [27, 1755] from Operation: 39*45=1755
Current State: 65:[27, 1755], Operations: ['53-8=45', '39*45=1755']
Exploring Operation: 1755/27=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
80,
26,
6,
70
] | 30 | [
"80+26=106",
"6+70=76",
"106-76=30"
] | Current State: 30:[80, 26, 6, 70], Operations: []
Exploring Operation: 80+26=106, Resulting Numbers: [6, 70, 106]
Generated Node #2: [6, 70, 106] from Operation: 80+26=106
Current State: 30:[6, 70, 106], Operations: ['80+26=106']
Exploring Operation: 6+70=76, Resulting Numbers: [106, 76]
Generated Node #3: [106, 76] from Operation: 6+70=76
Current State: 30:[106, 76], Operations: ['80+26=106', '6+70=76']
Exploring Operation: 106-76=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
50,
46,
44,
69
] | 88 | [
"46-44=2",
"69*2=138",
"138-50=88"
] | Current State: 88:[50, 46, 44, 69], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [50, 69, 2]
Generated Node #2: [50, 69, 2] from Operation: 46-44=2
Current State: 88:[50, 69, 2], Operations: ['46-44=2']
Exploring Operation: 69*2=138, Resulting Numbers: [50, 138]
Generated Node #3: [50, 138] from Operation: 69*2=138
Current State: 88:[50, 138], Operations: ['46-44=2', '69*2=138']
Exploring Operation: 138-50=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
65,
36,
70,
48
] | 78 | [
"36+48=84",
"65*84=5460",
"5460/70=78"
] | Current State: 78:[65, 36, 70, 48], Operations: []
Exploring Operation: 36+48=84, Resulting Numbers: [65, 70, 84]
Generated Node #2: [65, 70, 84] from Operation: 36+48=84
Current State: 78:[65, 70, 84], Operations: ['36+48=84']
Exploring Operation: 65*84=5460, Resulting Numbers: [70, 5460]
Generated Node #3: [70, 5460] from Operation: 65*84=5460
Current State: 78:[70, 5460], Operations: ['36+48=84', '65*84=5460']
Exploring Operation: 5460/70=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
22,
27,
92,
3
] | 40 | [
"22+27=49",
"92-3=89",
"89-49=40"
] | Current State: 40:[22, 27, 92, 3], Operations: []
Exploring Operation: 22+27=49, Resulting Numbers: [92, 3, 49]
Generated Node #2: [92, 3, 49] from Operation: 22+27=49
Current State: 40:[92, 3, 49], Operations: ['22+27=49']
Exploring Operation: 92-3=89, Resulting Numbers: [49, 89]
Generated Node #3: [49, 89] from Operation: 92-3=89
Current State: 40:[49, 89], Operations: ['22+27=49', '92-3=89']
Exploring Operation: 89-49=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
86,
57,
82,
41
] | 31 | [
"86-57=29",
"82/41=2",
"29+2=31"
] | Current State: 31:[86, 57, 82, 41], Operations: []
Exploring Operation: 86-57=29, Resulting Numbers: [82, 41, 29]
Generated Node #2: [82, 41, 29] from Operation: 86-57=29
Current State: 31:[82, 41, 29], Operations: ['86-57=29']
Exploring Operation: 82/41=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 82/41=2
Current State: 31:[29, 2], Operations: ['86-57=29', '82/41=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
40,
52,
6,
45
] | 52 | [
"40+6=46",
"46-45=1",
"52*1=52"
] | Current State: 52:[40, 52, 6, 45], Operations: []
Exploring Operation: 40+6=46, Resulting Numbers: [52, 45, 46]
Generated Node #2: [52, 45, 46] from Operation: 40+6=46
Current State: 52:[52, 45, 46], Operations: ['40+6=46']
Exploring Operation: 46-45=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 46-45=1
Current State: 52:[52, 1], Operations: ['40+6=46', '46-45=1']
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
5,
36,
40,
7
] | 78 | [
"36-5=31",
"40+7=47",
"31+47=78"
] | Current State: 78:[5, 36, 40, 7], Operations: []
Exploring Operation: 36-5=31, Resulting Numbers: [40, 7, 31]
Generated Node #2: [40, 7, 31] from Operation: 36-5=31
Current State: 78:[40, 7, 31], Operations: ['36-5=31']
Exploring Operation: 40+7=47, Resulting Numbers: [31, 47]
Generated Node #3: [31, 47] from Operation: 40+7=47
Current State: 78:[31, 47], Operations: ['36-5=31', '40+7=47']
Exploring Operation: 31+47=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
91,
81,
26,
3
] | 91 | [
"81/3=27",
"27-26=1",
"91*1=91"
] | Current State: 91:[91, 81, 26, 3], Operations: []
Exploring Operation: 81/3=27, Resulting Numbers: [91, 26, 27]
Generated Node #2: [91, 26, 27] from Operation: 81/3=27
Current State: 91:[91, 26, 27], Operations: ['81/3=27']
Exploring Operation: 27-26=1, Resulting Numbers: [91, 1]
Generated Node #3: [91, 1] from Operation: 27-26=1
Current State: 91:[91, 1], Operations: ['81/3=27', '27-26=1']
Exploring Operation: 91*1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
89,
13,
96,
67
] | 24 | [
"96-89=7",
"13*7=91",
"91-67=24"
] | Current State: 24:[89, 13, 96, 67], Operations: []
Exploring Operation: 96-89=7, Resulting Numbers: [13, 67, 7]
Generated Node #2: [13, 67, 7] from Operation: 96-89=7
Current State: 24:[13, 67, 7], Operations: ['96-89=7']
Exploring Operation: 13*7=91, Resulting Numbers: [67, 91]
Generated Node #3: [67, 91] from Operation: 13*7=91
Current State: 24:[67, 91], Operations: ['96-89=7', '13*7=91']
Exploring Operation: 91-67=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
67,
76,
75,
93
] | 25 | [
"67+76=143",
"75+93=168",
"168-143=25"
] | Current State: 25:[67, 76, 75, 93], Operations: []
Exploring Operation: 67+76=143, Resulting Numbers: [75, 93, 143]
Generated Node #2: [75, 93, 143] from Operation: 67+76=143
Current State: 25:[75, 93, 143], Operations: ['67+76=143']
Exploring Operation: 75+93=168, Resulting Numbers: [143, 168]
Generated Node #3: [143, 168] from Operation: 75+93=168
Current State: 25:[143, 168], Operations: ['67+76=143', '75+93=168']
Exploring Operation: 168-143=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
18,
2,
59,
88
] | 40 | [
"88-59=29",
"2*29=58",
"58-18=40"
] | Current State: 40:[18, 2, 59, 88], Operations: []
Exploring Operation: 88-59=29, Resulting Numbers: [18, 2, 29]
Generated Node #2: [18, 2, 29] from Operation: 88-59=29
Current State: 40:[18, 2, 29], Operations: ['88-59=29']
Exploring Operation: 2*29=58, Resulting Numbers: [18, 58]
Generated Node #3: [18, 58] from Operation: 2*29=58
Current State: 40:[18, 58], Operations: ['88-59=29', '2*29=58']
Exploring Operation: 58-18=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
5,
52,
42,
3
] | 99 | [
"52-5=47",
"3*47=141",
"141-42=99"
] | Current State: 99:[5, 52, 42, 3], Operations: []
Exploring Operation: 52-5=47, Resulting Numbers: [42, 3, 47]
Generated Node #2: [42, 3, 47] from Operation: 52-5=47
Current State: 99:[42, 3, 47], Operations: ['52-5=47']
Exploring Operation: 3*47=141, Resulting Numbers: [42, 141]
Generated Node #3: [42, 141] from Operation: 3*47=141
Current State: 99:[42, 141], Operations: ['52-5=47', '3*47=141']
Exploring Operation: 141-42=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
53,
44,
82,
30
] | 45 | [
"53+44=97",
"82-30=52",
"97-52=45"
] | Current State: 45:[53, 44, 82, 30], Operations: []
Exploring Operation: 53+44=97, Resulting Numbers: [82, 30, 97]
Generated Node #2: [82, 30, 97] from Operation: 53+44=97
Current State: 45:[82, 30, 97], Operations: ['53+44=97']
Exploring Operation: 82-30=52, Resulting Numbers: [97, 52]
Generated Node #3: [97, 52] from Operation: 82-30=52
Current State: 45:[97, 52], Operations: ['53+44=97', '82-30=52']
Exploring Operation: 97-52=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
96,
2,
30,
84
] | 44 | [
"96+2=98",
"84-30=54",
"98-54=44"
] | Current State: 44:[96, 2, 30, 84], Operations: []
Exploring Operation: 96+2=98, Resulting Numbers: [30, 84, 98]
Generated Node #2: [30, 84, 98] from Operation: 96+2=98
Current State: 44:[30, 84, 98], Operations: ['96+2=98']
Exploring Operation: 84-30=54, Resulting Numbers: [98, 54]
Generated Node #3: [98, 54] from Operation: 84-30=54
Current State: 44:[98, 54], Operations: ['96+2=98', '84-30=54']
Exploring Operation: 98-54=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
31,
76,
97,
29
] | 81 | [
"76-31=45",
"97+29=126",
"126-45=81"
] | Current State: 81:[31, 76, 97, 29], Operations: []
Exploring Operation: 76-31=45, Resulting Numbers: [97, 29, 45]
Generated Node #2: [97, 29, 45] from Operation: 76-31=45
Current State: 81:[97, 29, 45], Operations: ['76-31=45']
Exploring Operation: 97+29=126, Resulting Numbers: [45, 126]
Generated Node #3: [45, 126] from Operation: 97+29=126
Current State: 81:[45, 126], Operations: ['76-31=45', '97+29=126']
Exploring Operation: 126-45=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
44,
4,
10,
76
] | 40 | [
"44+76=120",
"120/4=30",
"10+30=40"
] | Current State: 40:[44, 4, 10, 76], Operations: []
Exploring Operation: 44+76=120, Resulting Numbers: [4, 10, 120]
Generated Node #2: [4, 10, 120] from Operation: 44+76=120
Current State: 40:[4, 10, 120], Operations: ['44+76=120']
Exploring Operation: 120/4=30, Resulting Numbers: [10, 30]
Generated Node #3: [10, 30] from Operation: 120/4=30
Current State: 40:[10, 30], Operations: ['44+76=120', '120/4=30']
Exploring Operation: 10+30=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
19,
2,
37,
66
] | 96 | [
"37-19=18",
"66-18=48",
"2*48=96"
] | Current State: 96:[19, 2, 37, 66], Operations: []
Exploring Operation: 37-19=18, Resulting Numbers: [2, 66, 18]
Generated Node #2: [2, 66, 18] from Operation: 37-19=18
Current State: 96:[2, 66, 18], Operations: ['37-19=18']
Exploring Operation: 66-18=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 66-18=48
Current State: 96:[2, 48], Operations: ['37-19=18', '66-18=48']
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
93,
43,
54,
9
] | 44 | [
"93-43=50",
"54/9=6",
"50-6=44"
] | Current State: 44:[93, 43, 54, 9], Operations: []
Exploring Operation: 93-43=50, Resulting Numbers: [54, 9, 50]
Generated Node #2: [54, 9, 50] from Operation: 93-43=50
Current State: 44:[54, 9, 50], Operations: ['93-43=50']
Exploring Operation: 54/9=6, Resulting Numbers: [50, 6]
Generated Node #3: [50, 6] from Operation: 54/9=6
Current State: 44:[50, 6], Operations: ['93-43=50', '54/9=6']
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
5,
51,
99,
91
] | 17 | [
"99-5=94",
"94-91=3",
"51/3=17"
] | Current State: 17:[5, 51, 99, 91], Operations: []
Exploring Operation: 99-5=94, Resulting Numbers: [51, 91, 94]
Generated Node #2: [51, 91, 94] from Operation: 99-5=94
Current State: 17:[51, 91, 94], Operations: ['99-5=94']
Exploring Operation: 94-91=3, Resulting Numbers: [51, 3]
Generated Node #3: [51, 3] from Operation: 94-91=3
Current State: 17:[51, 3], Operations: ['99-5=94', '94-91=3']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
36,
86,
72,
73
] | 95 | [
"86-36=50",
"72+73=145",
"145-50=95"
] | Current State: 95:[36, 86, 72, 73], Operations: []
Exploring Operation: 86-36=50, Resulting Numbers: [72, 73, 50]
Generated Node #2: [72, 73, 50] from Operation: 86-36=50
Current State: 95:[72, 73, 50], Operations: ['86-36=50']
Exploring Operation: 72+73=145, Resulting Numbers: [50, 145]
Generated Node #3: [50, 145] from Operation: 72+73=145
Current State: 95:[50, 145], Operations: ['86-36=50', '72+73=145']
Exploring Operation: 145-50=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
14,
84,
95,
56
] | 98 | [
"95-84=11",
"14*11=154",
"154-56=98"
] | Current State: 98:[14, 84, 95, 56], Operations: []
Exploring Operation: 95-84=11, Resulting Numbers: [14, 56, 11]
Generated Node #2: [14, 56, 11] from Operation: 95-84=11
Current State: 98:[14, 56, 11], Operations: ['95-84=11']
Exploring Operation: 14*11=154, Resulting Numbers: [56, 154]
Generated Node #3: [56, 154] from Operation: 14*11=154
Current State: 98:[56, 154], Operations: ['95-84=11', '14*11=154']
Exploring Operation: 154-56=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
64,
80,
2,
33
] | 98 | [
"80-64=16",
"33+16=49",
"2*49=98"
] | Current State: 98:[64, 80, 2, 33], Operations: []
Exploring Operation: 80-64=16, Resulting Numbers: [2, 33, 16]
Generated Node #2: [2, 33, 16] from Operation: 80-64=16
Current State: 98:[2, 33, 16], Operations: ['80-64=16']
Exploring Operation: 33+16=49, Resulting Numbers: [2, 49]
Generated Node #3: [2, 49] from Operation: 33+16=49
Current State: 98:[2, 49], Operations: ['80-64=16', '33+16=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
17,
37,
23,
46
] | 56 | [
"17+37=54",
"46/23=2",
"54+2=56"
] | Current State: 56:[17, 37, 23, 46], Operations: []
Exploring Operation: 17+37=54, Resulting Numbers: [23, 46, 54]
Generated Node #2: [23, 46, 54] from Operation: 17+37=54
Current State: 56:[23, 46, 54], Operations: ['17+37=54']
Exploring Operation: 46/23=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 46/23=2
Current State: 56:[54, 2], Operations: ['17+37=54', '46/23=2']
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
31,
44,
39,
41
] | 73 | [
"31+44=75",
"41-39=2",
"75-2=73"
] | Current State: 73:[31, 44, 39, 41], Operations: []
Exploring Operation: 31+44=75, Resulting Numbers: [39, 41, 75]
Generated Node #2: [39, 41, 75] from Operation: 31+44=75
Current State: 73:[39, 41, 75], Operations: ['31+44=75']
Exploring Operation: 41-39=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 41-39=2
Current State: 73:[75, 2], Operations: ['31+44=75', '41-39=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
78,
84,
45,
5
] | 56 | [
"84-78=6",
"45+5=50",
"6+50=56"
] | Current State: 56:[78, 84, 45, 5], Operations: []
Exploring Operation: 84-78=6, Resulting Numbers: [45, 5, 6]
Generated Node #2: [45, 5, 6] from Operation: 84-78=6
Current State: 56:[45, 5, 6], Operations: ['84-78=6']
Exploring Operation: 45+5=50, Resulting Numbers: [6, 50]
Generated Node #3: [6, 50] from Operation: 45+5=50
Current State: 56:[6, 50], Operations: ['84-78=6', '45+5=50']
Exploring Operation: 6+50=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
66,
13,
76,
63
] | 21 | [
"66+13=79",
"79-76=3",
"63/3=21"
] | Current State: 21:[66, 13, 76, 63], Operations: []
Exploring Operation: 66+13=79, Resulting Numbers: [76, 63, 79]
Generated Node #2: [76, 63, 79] from Operation: 66+13=79
Current State: 21:[76, 63, 79], Operations: ['66+13=79']
Exploring Operation: 79-76=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 79-76=3
Current State: 21:[63, 3], Operations: ['66+13=79', '79-76=3']
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
9,
97,
24,
2
] | 13 | [
"97+2=99",
"99/9=11",
"24-11=13"
] | Current State: 13:[9, 97, 24, 2], Operations: []
Exploring Operation: 97+2=99, Resulting Numbers: [9, 24, 99]
Generated Node #2: [9, 24, 99] from Operation: 97+2=99
Current State: 13:[9, 24, 99], Operations: ['97+2=99']
Exploring Operation: 99/9=11, Resulting Numbers: [24, 11]
Generated Node #3: [24, 11] from Operation: 99/9=11
Current State: 13:[24, 11], Operations: ['97+2=99', '99/9=11']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
32,
8,
2,
6
] | 14 | [
"32+8=40",
"40/2=20",
"20-6=14"
] | Current State: 14:[32, 8, 2, 6], Operations: []
Exploring Operation: 32+8=40, Resulting Numbers: [2, 6, 40]
Generated Node #2: [2, 6, 40] from Operation: 32+8=40
Current State: 14:[2, 6, 40], Operations: ['32+8=40']
Exploring Operation: 40/2=20, Resulting Numbers: [6, 20]
Generated Node #3: [6, 20] from Operation: 40/2=20
Current State: 14:[6, 20], Operations: ['32+8=40', '40/2=20']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
85,
56,
63,
56
] | 77 | [
"63-56=7",
"56/7=8",
"85-8=77"
] | Current State: 77:[85, 56, 63, 56], Operations: []
Exploring Operation: 63-56=7, Resulting Numbers: [85, 7]
Generated Node #2: [85, 7] from Operation: 63-56=7
Current State: 77:[85, 7], Operations: ['63-56=7']
Exploring Operation: 56/7=8, Resulting Numbers: [85, 8]
Generated Node #3: [85, 8] from Operation: 56/7=8
Current State: 77:[85, 8], Operations: ['63-56=7', '56/7=8']
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
39,
66,
38,
5
] | 78 | [
"39*66=2574",
"38-5=33",
"2574/33=78"
] | Current State: 78:[39, 66, 38, 5], Operations: []
Exploring Operation: 39*66=2574, Resulting Numbers: [38, 5, 2574]
Generated Node #2: [38, 5, 2574] from Operation: 39*66=2574
Current State: 78:[38, 5, 2574], Operations: ['39*66=2574']
Exploring Operation: 38-5=33, Resulting Numbers: [2574, 33]
Generated Node #3: [2574, 33] from Operation: 38-5=33
Current State: 78:[2574, 33], Operations: ['39*66=2574', '38-5=33']
Exploring Operation: 2574/33=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
50,
72,
87,
29
] | 66 | [
"72-50=22",
"87/29=3",
"22*3=66"
] | Current State: 66:[50, 72, 87, 29], Operations: []
Exploring Operation: 72-50=22, Resulting Numbers: [87, 29, 22]
Generated Node #2: [87, 29, 22] from Operation: 72-50=22
Current State: 66:[87, 29, 22], Operations: ['72-50=22']
Exploring Operation: 87/29=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 87/29=3
Current State: 66:[22, 3], Operations: ['72-50=22', '87/29=3']
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
43,
42,
66,
33
] | 99 | [
"43-42=1",
"66+33=99",
"1*99=99"
] | Current State: 99:[43, 42, 66, 33], Operations: []
Exploring Operation: 43-42=1, Resulting Numbers: [66, 33, 1]
Generated Node #2: [66, 33, 1] from Operation: 43-42=1
Current State: 99:[66, 33, 1], Operations: ['43-42=1']
Exploring Operation: 66+33=99, Resulting Numbers: [1, 99]
Generated Node #3: [1, 99] from Operation: 66+33=99
Current State: 99:[1, 99], Operations: ['43-42=1', '66+33=99']
Exploring Operation: 1*99=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
35,
43,
93,
19
] | 59 | [
"43-35=8",
"19*8=152",
"152-93=59"
] | Current State: 59:[35, 43, 93, 19], Operations: []
Exploring Operation: 43-35=8, Resulting Numbers: [93, 19, 8]
Generated Node #2: [93, 19, 8] from Operation: 43-35=8
Current State: 59:[93, 19, 8], Operations: ['43-35=8']
Exploring Operation: 19*8=152, Resulting Numbers: [93, 152]
Generated Node #3: [93, 152] from Operation: 19*8=152
Current State: 59:[93, 152], Operations: ['43-35=8', '19*8=152']
Exploring Operation: 152-93=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
53,
50,
2,
72
] | 72 | [
"53-50=3",
"3-2=1",
"72*1=72"
] | Current State: 72:[53, 50, 2, 72], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [2, 72, 3]
Generated Node #2: [2, 72, 3] from Operation: 53-50=3
Current State: 72:[2, 72, 3], Operations: ['53-50=3']
Exploring Operation: 3-2=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 3-2=1
Current State: 72:[72, 1], Operations: ['53-50=3', '3-2=1']
Exploring Operation: 72*1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
90,
64,
14,
99
] | 69 | [
"90+64=154",
"99-14=85",
"154-85=69"
] | Current State: 69:[90, 64, 14, 99], Operations: []
Exploring Operation: 90+64=154, Resulting Numbers: [14, 99, 154]
Generated Node #2: [14, 99, 154] from Operation: 90+64=154
Current State: 69:[14, 99, 154], Operations: ['90+64=154']
Exploring Operation: 99-14=85, Resulting Numbers: [154, 85]
Generated Node #3: [154, 85] from Operation: 99-14=85
Current State: 69:[154, 85], Operations: ['90+64=154', '99-14=85']
Exploring Operation: 154-85=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
49,
63,
99,
79
] | 66 | [
"49+63=112",
"99+79=178",
"178-112=66"
] | Current State: 66:[49, 63, 99, 79], Operations: []
Exploring Operation: 49+63=112, Resulting Numbers: [99, 79, 112]
Generated Node #2: [99, 79, 112] from Operation: 49+63=112
Current State: 66:[99, 79, 112], Operations: ['49+63=112']
Exploring Operation: 99+79=178, Resulting Numbers: [112, 178]
Generated Node #3: [112, 178] from Operation: 99+79=178
Current State: 66:[112, 178], Operations: ['49+63=112', '99+79=178']
Exploring Operation: 178-112=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
55,
11,
99,
88
] | 86 | [
"55+88=143",
"143/11=13",
"99-13=86"
] | Current State: 86:[55, 11, 99, 88], Operations: []
Exploring Operation: 55+88=143, Resulting Numbers: [11, 99, 143]
Generated Node #2: [11, 99, 143] from Operation: 55+88=143
Current State: 86:[11, 99, 143], Operations: ['55+88=143']
Exploring Operation: 143/11=13, Resulting Numbers: [99, 13]
Generated Node #3: [99, 13] from Operation: 143/11=13
Current State: 86:[99, 13], Operations: ['55+88=143', '143/11=13']
Exploring Operation: 99-13=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
32,
76,
34,
86
] | 20 | [
"34-32=2",
"86-76=10",
"2*10=20"
] | Current State: 20:[32, 76, 34, 86], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [76, 86, 2]
Generated Node #2: [76, 86, 2] from Operation: 34-32=2
Current State: 20:[76, 86, 2], Operations: ['34-32=2']
Exploring Operation: 86-76=10, Resulting Numbers: [2, 10]
Generated Node #3: [2, 10] from Operation: 86-76=10
Current State: 20:[2, 10], Operations: ['34-32=2', '86-76=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
76,
21,
69,
68
] | 65 | [
"76-69=7",
"21/7=3",
"68-3=65"
] | Current State: 65:[76, 21, 69, 68], Operations: []
Exploring Operation: 76-69=7, Resulting Numbers: [21, 68, 7]
Generated Node #2: [21, 68, 7] from Operation: 76-69=7
Current State: 65:[21, 68, 7], Operations: ['76-69=7']
Exploring Operation: 21/7=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 21/7=3
Current State: 65:[68, 3], Operations: ['76-69=7', '21/7=3']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
37,
27,
71,
53
] | 70 | [
"37*53=1961",
"1961-71=1890",
"1890/27=70"
] | Current State: 70:[37, 27, 71, 53], Operations: []
Exploring Operation: 37*53=1961, Resulting Numbers: [27, 71, 1961]
Generated Node #2: [27, 71, 1961] from Operation: 37*53=1961
Current State: 70:[27, 71, 1961], Operations: ['37*53=1961']
Exploring Operation: 1961-71=1890, Resulting Numbers: [27, 1890]
Generated Node #3: [27, 1890] from Operation: 1961-71=1890
Current State: 70:[27, 1890], Operations: ['37*53=1961', '1961-71=1890']
Exploring Operation: 1890/27=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
65,
47,
27,
81
] | 54 | [
"65-47=18",
"81/27=3",
"18*3=54"
] | Current State: 54:[65, 47, 27, 81], Operations: []
Exploring Operation: 65-47=18, Resulting Numbers: [27, 81, 18]
Generated Node #2: [27, 81, 18] from Operation: 65-47=18
Current State: 54:[27, 81, 18], Operations: ['65-47=18']
Exploring Operation: 81/27=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 81/27=3
Current State: 54:[18, 3], Operations: ['65-47=18', '81/27=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
45,
51,
29,
31
] | 10 | [
"51-45=6",
"29+31=60",
"60/6=10"
] | Current State: 10:[45, 51, 29, 31], Operations: []
Exploring Operation: 51-45=6, Resulting Numbers: [29, 31, 6]
Generated Node #2: [29, 31, 6] from Operation: 51-45=6
Current State: 10:[29, 31, 6], Operations: ['51-45=6']
Exploring Operation: 29+31=60, Resulting Numbers: [6, 60]
Generated Node #3: [6, 60] from Operation: 29+31=60
Current State: 10:[6, 60], Operations: ['51-45=6', '29+31=60']
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
75,
43,
30,
17
] | 19 | [
"75-43=32",
"30-17=13",
"32-13=19"
] | Current State: 19:[75, 43, 30, 17], Operations: []
Exploring Operation: 75-43=32, Resulting Numbers: [30, 17, 32]
Generated Node #2: [30, 17, 32] from Operation: 75-43=32
Current State: 19:[30, 17, 32], Operations: ['75-43=32']
Exploring Operation: 30-17=13, Resulting Numbers: [32, 13]
Generated Node #3: [32, 13] from Operation: 30-17=13
Current State: 19:[32, 13], Operations: ['75-43=32', '30-17=13']
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
18,
9,
47,
19
] | 93 | [
"18+9=27",
"47+19=66",
"27+66=93"
] | Current State: 93:[18, 9, 47, 19], Operations: []
Exploring Operation: 18+9=27, Resulting Numbers: [47, 19, 27]
Generated Node #2: [47, 19, 27] from Operation: 18+9=27
Current State: 93:[47, 19, 27], Operations: ['18+9=27']
Exploring Operation: 47+19=66, Resulting Numbers: [27, 66]
Generated Node #3: [27, 66] from Operation: 47+19=66
Current State: 93:[27, 66], Operations: ['18+9=27', '47+19=66']
Exploring Operation: 27+66=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
45,
99,
91,
6
] | 100 | [
"99-45=54",
"54/6=9",
"91+9=100"
] | Current State: 100:[45, 99, 91, 6], Operations: []
Exploring Operation: 99-45=54, Resulting Numbers: [91, 6, 54]
Generated Node #2: [91, 6, 54] from Operation: 99-45=54
Current State: 100:[91, 6, 54], Operations: ['99-45=54']
Exploring Operation: 54/6=9, Resulting Numbers: [91, 9]
Generated Node #3: [91, 9] from Operation: 54/6=9
Current State: 100:[91, 9], Operations: ['99-45=54', '54/6=9']
Exploring Operation: 91+9=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
22,
85,
3,
28
] | 94 | [
"85-22=63",
"3+28=31",
"63+31=94"
] | Current State: 94:[22, 85, 3, 28], Operations: []
Exploring Operation: 85-22=63, Resulting Numbers: [3, 28, 63]
Generated Node #2: [3, 28, 63] from Operation: 85-22=63
Current State: 94:[3, 28, 63], Operations: ['85-22=63']
Exploring Operation: 3+28=31, Resulting Numbers: [63, 31]
Generated Node #3: [63, 31] from Operation: 3+28=31
Current State: 94:[63, 31], Operations: ['85-22=63', '3+28=31']
Exploring Operation: 63+31=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
17,
99,
73,
39
] | 97 | [
"73-39=34",
"34/17=2",
"99-2=97"
] | Current State: 97:[17, 99, 73, 39], Operations: []
Exploring Operation: 73-39=34, Resulting Numbers: [17, 99, 34]
Generated Node #2: [17, 99, 34] from Operation: 73-39=34
Current State: 97:[17, 99, 34], Operations: ['73-39=34']
Exploring Operation: 34/17=2, Resulting Numbers: [99, 2]
Generated Node #3: [99, 2] from Operation: 34/17=2
Current State: 97:[99, 2], Operations: ['73-39=34', '34/17=2']
Exploring Operation: 99-2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
78,
29,
90,
68
] | 88 | [
"68-29=39",
"78/39=2",
"90-2=88"
] | Current State: 88:[78, 29, 90, 68], Operations: []
Exploring Operation: 68-29=39, Resulting Numbers: [78, 90, 39]
Generated Node #2: [78, 90, 39] from Operation: 68-29=39
Current State: 88:[78, 90, 39], Operations: ['68-29=39']
Exploring Operation: 78/39=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 78/39=2
Current State: 88:[90, 2], Operations: ['68-29=39', '78/39=2']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
70,
74,
43,
48
] | 87 | [
"74-70=4",
"43+48=91",
"91-4=87"
] | Current State: 87:[70, 74, 43, 48], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [43, 48, 4]
Generated Node #2: [43, 48, 4] from Operation: 74-70=4
Current State: 87:[43, 48, 4], Operations: ['74-70=4']
Exploring Operation: 43+48=91, Resulting Numbers: [4, 91]
Generated Node #3: [4, 91] from Operation: 43+48=91
Current State: 87:[4, 91], Operations: ['74-70=4', '43+48=91']
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
16,
97,
22,
88
] | 33 | [
"16*88=1408",
"1408/22=64",
"97-64=33"
] | Current State: 33:[16, 97, 22, 88], Operations: []
Exploring Operation: 16*88=1408, Resulting Numbers: [97, 22, 1408]
Generated Node #2: [97, 22, 1408] from Operation: 16*88=1408
Current State: 33:[97, 22, 1408], Operations: ['16*88=1408']
Exploring Operation: 1408/22=64, Resulting Numbers: [97, 64]
Generated Node #3: [97, 64] from Operation: 1408/22=64
Current State: 33:[97, 64], Operations: ['16*88=1408', '1408/22=64']
Exploring Operation: 97-64=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
11,
83,
71,
83
] | 81 | [
"11+71=82",
"83/83=1",
"82-1=81"
] | Current State: 81:[11, 83, 71, 83], Operations: []
Exploring Operation: 11+71=82, Resulting Numbers: [83, 83, 82]
Generated Node #2: [83, 83, 82] from Operation: 11+71=82
Current State: 81:[83, 83, 82], Operations: ['11+71=82']
Exploring Operation: 83/83=1, Resulting Numbers: [82, 1]
Generated Node #3: [82, 1] from Operation: 83/83=1
Current State: 81:[82, 1], Operations: ['11+71=82', '83/83=1']
Exploring Operation: 82-1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
37,
7,
39,
65
] | 50 | [
"37-7=30",
"65*30=1950",
"1950/39=50"
] | Current State: 50:[37, 7, 39, 65], Operations: []
Exploring Operation: 37-7=30, Resulting Numbers: [39, 65, 30]
Generated Node #2: [39, 65, 30] from Operation: 37-7=30
Current State: 50:[39, 65, 30], Operations: ['37-7=30']
Exploring Operation: 65*30=1950, Resulting Numbers: [39, 1950]
Generated Node #3: [39, 1950] from Operation: 65*30=1950
Current State: 50:[39, 1950], Operations: ['37-7=30', '65*30=1950']
Exploring Operation: 1950/39=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
49,
23,
27,
64
] | 63 | [
"49-23=26",
"64-27=37",
"26+37=63"
] | Current State: 63:[49, 23, 27, 64], Operations: []
Exploring Operation: 49-23=26, Resulting Numbers: [27, 64, 26]
Generated Node #2: [27, 64, 26] from Operation: 49-23=26
Current State: 63:[27, 64, 26], Operations: ['49-23=26']
Exploring Operation: 64-27=37, Resulting Numbers: [26, 37]
Generated Node #3: [26, 37] from Operation: 64-27=37
Current State: 63:[26, 37], Operations: ['49-23=26', '64-27=37']
Exploring Operation: 26+37=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.