nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
88,
99,
61,
52
] | 99 | [
"99-88=11",
"61-52=9",
"11*9=99"
] | Current State: 99:[88, 99, 61, 52], Operations: []
Exploring Operation: 99-88=11, Resulting Numbers: [61, 52, 11]
Generated Node #2: [61, 52, 11] from Operation: 99-88=11
Current State: 99:[61, 52, 11], Operations: ['99-88=11']
Exploring Operation: 61-52=9, Resulting Numbers: [11, 9]
Generated Node #3: [11, 9] from Operation: 61-52=9
Current State: 99:[11, 9], Operations: ['99-88=11', '61-52=9']
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
25,
81,
2,
36
] | 76 | [
"81-25=56",
"2*56=112",
"112-36=76"
] | Current State: 76:[25, 81, 2, 36], Operations: []
Exploring Operation: 81-25=56, Resulting Numbers: [2, 36, 56]
Generated Node #2: [2, 36, 56] from Operation: 81-25=56
Current State: 76:[2, 36, 56], Operations: ['81-25=56']
Exploring Operation: 2*56=112, Resulting Numbers: [36, 112]
Generated Node #3: [36, 112] from Operation: 2*56=112
Current State: 76:[36, 112], Operations: ['81-25=56', '2*56=112']
Exploring Operation: 112-36=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
3,
55,
3,
51
] | 89 | [
"51-3=48",
"3*48=144",
"144-55=89"
] | Current State: 89:[3, 55, 3, 51], Operations: []
Exploring Operation: 51-3=48, Resulting Numbers: [55, 48]
Generated Node #2: [55, 48] from Operation: 51-3=48
Current State: 89:[55, 48], Operations: ['51-3=48']
Exploring Operation: 3*48=144, Resulting Numbers: [55, 144]
Generated Node #3: [55, 144] from Operation: 3*48=144
Current State: 89:[55, 144], Operations: ['51-3=48', '3*48=144']
Exploring Operation: 144-55=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
8,
69,
11,
29
] | 52 | [
"11-8=3",
"69/3=23",
"29+23=52"
] | Current State: 52:[8, 69, 11, 29], Operations: []
Exploring Operation: 11-8=3, Resulting Numbers: [69, 29, 3]
Generated Node #2: [69, 29, 3] from Operation: 11-8=3
Current State: 52:[69, 29, 3], Operations: ['11-8=3']
Exploring Operation: 69/3=23, Resulting Numbers: [29, 23]
Generated Node #3: [29, 23] from Operation: 69/3=23
Current State: 52:[29, 23], Operations: ['11-8=3', '69/3=23']
Exploring Operation: 29+23=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
55,
42,
39,
10
] | 48 | [
"55+42=97",
"39+10=49",
"97-49=48"
] | Current State: 48:[55, 42, 39, 10], Operations: []
Exploring Operation: 55+42=97, Resulting Numbers: [39, 10, 97]
Generated Node #2: [39, 10, 97] from Operation: 55+42=97
Current State: 48:[39, 10, 97], Operations: ['55+42=97']
Exploring Operation: 39+10=49, Resulting Numbers: [97, 49]
Generated Node #3: [97, 49] from Operation: 39+10=49
Current State: 48:[97, 49], Operations: ['55+42=97', '39+10=49']
Exploring Operation: 97-49=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
94,
62,
9,
46
] | 69 | [
"94-62=32",
"46-9=37",
"32+37=69"
] | Current State: 69:[94, 62, 9, 46], Operations: []
Exploring Operation: 94-62=32, Resulting Numbers: [9, 46, 32]
Generated Node #2: [9, 46, 32] from Operation: 94-62=32
Current State: 69:[9, 46, 32], Operations: ['94-62=32']
Exploring Operation: 46-9=37, Resulting Numbers: [32, 37]
Generated Node #3: [32, 37] from Operation: 46-9=37
Current State: 69:[32, 37], Operations: ['94-62=32', '46-9=37']
Exploring Operation: 32+37=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
7,
12,
24,
39
] | 25 | [
"7*24=168",
"168/12=14",
"39-14=25"
] | Current State: 25:[7, 12, 24, 39], Operations: []
Exploring Operation: 7*24=168, Resulting Numbers: [12, 39, 168]
Generated Node #2: [12, 39, 168] from Operation: 7*24=168
Current State: 25:[12, 39, 168], Operations: ['7*24=168']
Exploring Operation: 168/12=14, Resulting Numbers: [39, 14]
Generated Node #3: [39, 14] from Operation: 168/12=14
Current State: 25:[39, 14], Operations: ['7*24=168', '168/12=14']
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
73,
23,
60,
24
] | 34 | [
"73-23=50",
"60+24=84",
"84-50=34"
] | Current State: 34:[73, 23, 60, 24], Operations: []
Exploring Operation: 73-23=50, Resulting Numbers: [60, 24, 50]
Generated Node #2: [60, 24, 50] from Operation: 73-23=50
Current State: 34:[60, 24, 50], Operations: ['73-23=50']
Exploring Operation: 60+24=84, Resulting Numbers: [50, 84]
Generated Node #3: [50, 84] from Operation: 60+24=84
Current State: 34:[50, 84], Operations: ['73-23=50', '60+24=84']
Exploring Operation: 84-50=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
21,
22,
41,
57
] | 55 | [
"21+22=43",
"41+57=98",
"98-43=55"
] | Current State: 55:[21, 22, 41, 57], Operations: []
Exploring Operation: 21+22=43, Resulting Numbers: [41, 57, 43]
Generated Node #2: [41, 57, 43] from Operation: 21+22=43
Current State: 55:[41, 57, 43], Operations: ['21+22=43']
Exploring Operation: 41+57=98, Resulting Numbers: [43, 98]
Generated Node #3: [43, 98] from Operation: 41+57=98
Current State: 55:[43, 98], Operations: ['21+22=43', '41+57=98']
Exploring Operation: 98-43=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
50,
30,
27,
83
] | 38 | [
"50*27=1350",
"1350/30=45",
"83-45=38"
] | Current State: 38:[50, 30, 27, 83], Operations: []
Exploring Operation: 50*27=1350, Resulting Numbers: [30, 83, 1350]
Generated Node #2: [30, 83, 1350] from Operation: 50*27=1350
Current State: 38:[30, 83, 1350], Operations: ['50*27=1350']
Exploring Operation: 1350/30=45, Resulting Numbers: [83, 45]
Generated Node #3: [83, 45] from Operation: 1350/30=45
Current State: 38:[83, 45], Operations: ['50*27=1350', '1350/30=45']
Exploring Operation: 83-45=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
23,
2,
86,
23
] | 66 | [
"23+86=109",
"23+109=132",
"132/2=66"
] | Current State: 66:[23, 2, 86, 23], Operations: []
Exploring Operation: 23+86=109, Resulting Numbers: [2, 109]
Generated Node #2: [2, 109] from Operation: 23+86=109
Current State: 66:[2, 109], Operations: ['23+86=109']
Exploring Operation: 23+109=132, Resulting Numbers: [2, 132]
Generated Node #3: [2, 132] from Operation: 23+109=132
Current State: 66:[2, 132], Operations: ['23+86=109', '23+109=132']
Exploring Operation: 132/2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
72,
6,
92,
78
] | 92 | [
"72+6=78",
"92+78=170",
"170-78=92"
] | Current State: 92:[72, 6, 92, 78], Operations: []
Exploring Operation: 72+6=78, Resulting Numbers: [92, 78, 78]
Generated Node #2: [92, 78, 78] from Operation: 72+6=78
Current State: 92:[92, 78, 78], Operations: ['72+6=78']
Exploring Operation: 92+78=170, Resulting Numbers: [170]
170,92 equal: Goal Reached
Exploring Operation: 170-78=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
95,
12,
39,
66
] | 80 | [
"95+12=107",
"66-39=27",
"107-27=80"
] | Current State: 80:[95, 12, 39, 66], Operations: []
Exploring Operation: 95+12=107, Resulting Numbers: [39, 66, 107]
Generated Node #2: [39, 66, 107] from Operation: 95+12=107
Current State: 80:[39, 66, 107], Operations: ['95+12=107']
Exploring Operation: 66-39=27, Resulting Numbers: [107, 27]
Generated Node #3: [107, 27] from Operation: 66-39=27
Current State: 80:[107, 27], Operations: ['95+12=107', '66-39=27']
Exploring Operation: 107-27=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
26,
71,
3,
49
] | 92 | [
"71-49=22",
"3*22=66",
"26+66=92"
] | Current State: 92:[26, 71, 3, 49], Operations: []
Exploring Operation: 71-49=22, Resulting Numbers: [26, 3, 22]
Generated Node #2: [26, 3, 22] from Operation: 71-49=22
Current State: 92:[26, 3, 22], Operations: ['71-49=22']
Exploring Operation: 3*22=66, Resulting Numbers: [26, 66]
Generated Node #3: [26, 66] from Operation: 3*22=66
Current State: 92:[26, 66], Operations: ['71-49=22', '3*22=66']
Exploring Operation: 26+66=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
6,
71,
97,
76
] | 55 | [
"97-76=21",
"6*21=126",
"126-71=55"
] | Current State: 55:[6, 71, 97, 76], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [6, 71, 21]
Generated Node #2: [6, 71, 21] from Operation: 97-76=21
Current State: 55:[6, 71, 21], Operations: ['97-76=21']
Exploring Operation: 6*21=126, Resulting Numbers: [71, 126]
Generated Node #3: [71, 126] from Operation: 6*21=126
Current State: 55:[71, 126], Operations: ['97-76=21', '6*21=126']
Exploring Operation: 126-71=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
88,
24,
72,
6
] | 84 | [
"24-6=18",
"72/18=4",
"88-4=84"
] | Current State: 84:[88, 24, 72, 6], Operations: []
Exploring Operation: 24-6=18, Resulting Numbers: [88, 72, 18]
Generated Node #2: [88, 72, 18] from Operation: 24-6=18
Current State: 84:[88, 72, 18], Operations: ['24-6=18']
Exploring Operation: 72/18=4, Resulting Numbers: [88, 4]
Generated Node #3: [88, 4] from Operation: 72/18=4
Current State: 84:[88, 4], Operations: ['24-6=18', '72/18=4']
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
49,
30,
1,
85
] | 51 | [
"49+1=50",
"30*85=2550",
"2550/50=51"
] | Current State: 51:[49, 30, 1, 85], Operations: []
Exploring Operation: 49+1=50, Resulting Numbers: [30, 85, 50]
Generated Node #2: [30, 85, 50] from Operation: 49+1=50
Current State: 51:[30, 85, 50], Operations: ['49+1=50']
Exploring Operation: 30*85=2550, Resulting Numbers: [50, 2550]
Generated Node #3: [50, 2550] from Operation: 30*85=2550
Current State: 51:[50, 2550], Operations: ['49+1=50', '30*85=2550']
Exploring Operation: 2550/50=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
21,
84,
83,
47
] | 49 | [
"21*84=1764",
"83-47=36",
"1764/36=49"
] | Current State: 49:[21, 84, 83, 47], Operations: []
Exploring Operation: 21*84=1764, Resulting Numbers: [83, 47, 1764]
Generated Node #2: [83, 47, 1764] from Operation: 21*84=1764
Current State: 49:[83, 47, 1764], Operations: ['21*84=1764']
Exploring Operation: 83-47=36, Resulting Numbers: [1764, 36]
Generated Node #3: [1764, 36] from Operation: 83-47=36
Current State: 49:[1764, 36], Operations: ['21*84=1764', '83-47=36']
Exploring Operation: 1764/36=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
24,
12,
82,
41
] | 34 | [
"24+12=36",
"82/41=2",
"36-2=34"
] | Current State: 34:[24, 12, 82, 41], Operations: []
Exploring Operation: 24+12=36, Resulting Numbers: [82, 41, 36]
Generated Node #2: [82, 41, 36] from Operation: 24+12=36
Current State: 34:[82, 41, 36], Operations: ['24+12=36']
Exploring Operation: 82/41=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 82/41=2
Current State: 34:[36, 2], Operations: ['24+12=36', '82/41=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
1,
2,
67,
86
] | 47 | [
"1+86=87",
"2*67=134",
"134-87=47"
] | Current State: 47:[1, 2, 67, 86], Operations: []
Exploring Operation: 1+86=87, Resulting Numbers: [2, 67, 87]
Generated Node #2: [2, 67, 87] from Operation: 1+86=87
Current State: 47:[2, 67, 87], Operations: ['1+86=87']
Exploring Operation: 2*67=134, Resulting Numbers: [87, 134]
Generated Node #3: [87, 134] from Operation: 2*67=134
Current State: 47:[87, 134], Operations: ['1+86=87', '2*67=134']
Exploring Operation: 134-87=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
93,
93,
7,
10
] | 69 | [
"93/93=1",
"7*10=70",
"70-1=69"
] | Current State: 69:[93, 93, 7, 10], Operations: []
Exploring Operation: 93/93=1, Resulting Numbers: [7, 10, 1]
Generated Node #2: [7, 10, 1] from Operation: 93/93=1
Current State: 69:[7, 10, 1], Operations: ['93/93=1']
Exploring Operation: 7*10=70, Resulting Numbers: [1, 70]
Generated Node #3: [1, 70] from Operation: 7*10=70
Current State: 69:[1, 70], Operations: ['93/93=1', '7*10=70']
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
15,
22,
80,
29
] | 13 | [
"80-22=58",
"58/29=2",
"15-2=13"
] | Current State: 13:[15, 22, 80, 29], Operations: []
Exploring Operation: 80-22=58, Resulting Numbers: [15, 29, 58]
Generated Node #2: [15, 29, 58] from Operation: 80-22=58
Current State: 13:[15, 29, 58], Operations: ['80-22=58']
Exploring Operation: 58/29=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 58/29=2
Current State: 13:[15, 2], Operations: ['80-22=58', '58/29=2']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
48,
45,
2,
51
] | 57 | [
"48-45=3",
"2*3=6",
"51+6=57"
] | Current State: 57:[48, 45, 2, 51], Operations: []
Exploring Operation: 48-45=3, Resulting Numbers: [2, 51, 3]
Generated Node #2: [2, 51, 3] from Operation: 48-45=3
Current State: 57:[2, 51, 3], Operations: ['48-45=3']
Exploring Operation: 2*3=6, Resulting Numbers: [51, 6]
Generated Node #3: [51, 6] from Operation: 2*3=6
Current State: 57:[51, 6], Operations: ['48-45=3', '2*3=6']
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
49,
20,
56,
62
] | 63 | [
"49+20=69",
"62-56=6",
"69-6=63"
] | Current State: 63:[49, 20, 56, 62], Operations: []
Exploring Operation: 49+20=69, Resulting Numbers: [56, 62, 69]
Generated Node #2: [56, 62, 69] from Operation: 49+20=69
Current State: 63:[56, 62, 69], Operations: ['49+20=69']
Exploring Operation: 62-56=6, Resulting Numbers: [69, 6]
Generated Node #3: [69, 6] from Operation: 62-56=6
Current State: 63:[69, 6], Operations: ['49+20=69', '62-56=6']
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
59,
4,
60,
59
] | 16 | [
"59/59=1",
"60/4=15",
"1+15=16"
] | Current State: 16:[59, 4, 60, 59], Operations: []
Exploring Operation: 59/59=1, Resulting Numbers: [4, 60, 1]
Generated Node #2: [4, 60, 1] from Operation: 59/59=1
Current State: 16:[4, 60, 1], Operations: ['59/59=1']
Exploring Operation: 60/4=15, Resulting Numbers: [1, 15]
Generated Node #3: [1, 15] from Operation: 60/4=15
Current State: 16:[1, 15], Operations: ['59/59=1', '60/4=15']
Exploring Operation: 1+15=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
23,
22,
9,
21
] | 35 | [
"23-21=2",
"22*2=44",
"44-9=35"
] | Current State: 35:[23, 22, 9, 21], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [22, 9, 2]
Generated Node #2: [22, 9, 2] from Operation: 23-21=2
Current State: 35:[22, 9, 2], Operations: ['23-21=2']
Exploring Operation: 22*2=44, Resulting Numbers: [9, 44]
Generated Node #3: [9, 44] from Operation: 22*2=44
Current State: 35:[9, 44], Operations: ['23-21=2', '22*2=44']
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
7,
14,
75,
44
] | 24 | [
"14-7=7",
"75-44=31",
"31-7=24"
] | Current State: 24:[7, 14, 75, 44], Operations: []
Exploring Operation: 14-7=7, Resulting Numbers: [75, 44, 7]
Generated Node #2: [75, 44, 7] from Operation: 14-7=7
Current State: 24:[75, 44, 7], Operations: ['14-7=7']
Exploring Operation: 75-44=31, Resulting Numbers: [7, 31]
Generated Node #3: [7, 31] from Operation: 75-44=31
Current State: 24:[7, 31], Operations: ['14-7=7', '75-44=31']
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
70,
29,
53,
5
] | 89 | [
"70-29=41",
"53-5=48",
"41+48=89"
] | Current State: 89:[70, 29, 53, 5], Operations: []
Exploring Operation: 70-29=41, Resulting Numbers: [53, 5, 41]
Generated Node #2: [53, 5, 41] from Operation: 70-29=41
Current State: 89:[53, 5, 41], Operations: ['70-29=41']
Exploring Operation: 53-5=48, Resulting Numbers: [41, 48]
Generated Node #3: [41, 48] from Operation: 53-5=48
Current State: 89:[41, 48], Operations: ['70-29=41', '53-5=48']
Exploring Operation: 41+48=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
64,
53,
72,
39
] | 75 | [
"64+53=117",
"117/39=3",
"72+3=75"
] | Current State: 75:[64, 53, 72, 39], Operations: []
Exploring Operation: 64+53=117, Resulting Numbers: [72, 39, 117]
Generated Node #2: [72, 39, 117] from Operation: 64+53=117
Current State: 75:[72, 39, 117], Operations: ['64+53=117']
Exploring Operation: 117/39=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 117/39=3
Current State: 75:[72, 3], Operations: ['64+53=117', '117/39=3']
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
15,
2,
30,
68
] | 35 | [
"30/15=2",
"2+68=70",
"70/2=35"
] | Current State: 35:[15, 2, 30, 68], Operations: []
Exploring Operation: 30/15=2, Resulting Numbers: [2, 68, 2]
Generated Node #2: [2, 68, 2] from Operation: 30/15=2
Current State: 35:[2, 68, 2], Operations: ['30/15=2']
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,35 equal: Goal Reached
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
65,
6,
72,
63
] | 54 | [
"72-65=7",
"6*63=378",
"378/7=54"
] | Current State: 54:[65, 6, 72, 63], Operations: []
Exploring Operation: 72-65=7, Resulting Numbers: [6, 63, 7]
Generated Node #2: [6, 63, 7] from Operation: 72-65=7
Current State: 54:[6, 63, 7], Operations: ['72-65=7']
Exploring Operation: 6*63=378, Resulting Numbers: [7, 378]
Generated Node #3: [7, 378] from Operation: 6*63=378
Current State: 54:[7, 378], Operations: ['72-65=7', '6*63=378']
Exploring Operation: 378/7=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
20,
31,
58,
84
] | 12 | [
"20+31=51",
"58-51=7",
"84/7=12"
] | Current State: 12:[20, 31, 58, 84], Operations: []
Exploring Operation: 20+31=51, Resulting Numbers: [58, 84, 51]
Generated Node #2: [58, 84, 51] from Operation: 20+31=51
Current State: 12:[58, 84, 51], Operations: ['20+31=51']
Exploring Operation: 58-51=7, Resulting Numbers: [84, 7]
Generated Node #3: [84, 7] from Operation: 58-51=7
Current State: 12:[84, 7], Operations: ['20+31=51', '58-51=7']
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
44,
49,
72,
5
] | 73 | [
"49-44=5",
"5/5=1",
"72+1=73"
] | Current State: 73:[44, 49, 72, 5], Operations: []
Exploring Operation: 49-44=5, Resulting Numbers: [72, 5, 5]
Generated Node #2: [72, 5, 5] from Operation: 49-44=5
Current State: 73:[72, 5, 5], Operations: ['49-44=5']
Exploring Operation: 5/5=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 5/5=1
Current State: 73:[72, 1], Operations: ['49-44=5', '5/5=1']
Exploring Operation: 72+1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
36,
61,
29,
17
] | 51 | [
"36+61=97",
"29+17=46",
"97-46=51"
] | Current State: 51:[36, 61, 29, 17], Operations: []
Exploring Operation: 36+61=97, Resulting Numbers: [29, 17, 97]
Generated Node #2: [29, 17, 97] from Operation: 36+61=97
Current State: 51:[29, 17, 97], Operations: ['36+61=97']
Exploring Operation: 29+17=46, Resulting Numbers: [97, 46]
Generated Node #3: [97, 46] from Operation: 29+17=46
Current State: 51:[97, 46], Operations: ['36+61=97', '29+17=46']
Exploring Operation: 97-46=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
45,
5,
98,
25
] | 33 | [
"45-5=40",
"98-25=73",
"73-40=33"
] | Current State: 33:[45, 5, 98, 25], Operations: []
Exploring Operation: 45-5=40, Resulting Numbers: [98, 25, 40]
Generated Node #2: [98, 25, 40] from Operation: 45-5=40
Current State: 33:[98, 25, 40], Operations: ['45-5=40']
Exploring Operation: 98-25=73, Resulting Numbers: [40, 73]
Generated Node #3: [40, 73] from Operation: 98-25=73
Current State: 33:[40, 73], Operations: ['45-5=40', '98-25=73']
Exploring Operation: 73-40=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
89,
33,
61,
86
] | 72 | [
"89-86=3",
"33/3=11",
"61+11=72"
] | Current State: 72:[89, 33, 61, 86], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [33, 61, 3]
Generated Node #2: [33, 61, 3] from Operation: 89-86=3
Current State: 72:[33, 61, 3], Operations: ['89-86=3']
Exploring Operation: 33/3=11, Resulting Numbers: [61, 11]
Generated Node #3: [61, 11] from Operation: 33/3=11
Current State: 72:[61, 11], Operations: ['89-86=3', '33/3=11']
Exploring Operation: 61+11=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
36,
14,
27,
55
] | 34 | [
"55-27=28",
"28/14=2",
"36-2=34"
] | Current State: 34:[36, 14, 27, 55], Operations: []
Exploring Operation: 55-27=28, Resulting Numbers: [36, 14, 28]
Generated Node #2: [36, 14, 28] from Operation: 55-27=28
Current State: 34:[36, 14, 28], Operations: ['55-27=28']
Exploring Operation: 28/14=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 28/14=2
Current State: 34:[36, 2], Operations: ['55-27=28', '28/14=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
55,
28,
54,
5
] | 32 | [
"55-28=27",
"54+5=59",
"59-27=32"
] | Current State: 32:[55, 28, 54, 5], Operations: []
Exploring Operation: 55-28=27, Resulting Numbers: [54, 5, 27]
Generated Node #2: [54, 5, 27] from Operation: 55-28=27
Current State: 32:[54, 5, 27], Operations: ['55-28=27']
Exploring Operation: 54+5=59, Resulting Numbers: [27, 59]
Generated Node #3: [27, 59] from Operation: 54+5=59
Current State: 32:[27, 59], Operations: ['55-28=27', '54+5=59']
Exploring Operation: 59-27=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
27,
58,
87,
76
] | 42 | [
"58-27=31",
"87-76=11",
"31+11=42"
] | Current State: 42:[27, 58, 87, 76], Operations: []
Exploring Operation: 58-27=31, Resulting Numbers: [87, 76, 31]
Generated Node #2: [87, 76, 31] from Operation: 58-27=31
Current State: 42:[87, 76, 31], Operations: ['58-27=31']
Exploring Operation: 87-76=11, Resulting Numbers: [31, 11]
Generated Node #3: [31, 11] from Operation: 87-76=11
Current State: 42:[31, 11], Operations: ['58-27=31', '87-76=11']
Exploring Operation: 31+11=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
3,
93,
47,
46
] | 91 | [
"93-3=90",
"47-46=1",
"90+1=91"
] | Current State: 91:[3, 93, 47, 46], Operations: []
Exploring Operation: 93-3=90, Resulting Numbers: [47, 46, 90]
Generated Node #2: [47, 46, 90] from Operation: 93-3=90
Current State: 91:[47, 46, 90], Operations: ['93-3=90']
Exploring Operation: 47-46=1, Resulting Numbers: [90, 1]
Generated Node #3: [90, 1] from Operation: 47-46=1
Current State: 91:[90, 1], Operations: ['93-3=90', '47-46=1']
Exploring Operation: 90+1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
6,
38,
64,
51
] | 68 | [
"38+64=102",
"102/6=17",
"51+17=68"
] | Current State: 68:[6, 38, 64, 51], Operations: []
Exploring Operation: 38+64=102, Resulting Numbers: [6, 51, 102]
Generated Node #2: [6, 51, 102] from Operation: 38+64=102
Current State: 68:[6, 51, 102], Operations: ['38+64=102']
Exploring Operation: 102/6=17, Resulting Numbers: [51, 17]
Generated Node #3: [51, 17] from Operation: 102/6=17
Current State: 68:[51, 17], Operations: ['38+64=102', '102/6=17']
Exploring Operation: 51+17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
38,
43,
17,
17
] | 38 | [
"17-17=0",
"43*0=0",
"38+0=38"
] | Current State: 38:[38, 43, 17, 17], Operations: []
Exploring Operation: 17-17=0, Resulting Numbers: [38, 43, 0]
Generated Node #2: [38, 43, 0] from Operation: 17-17=0
Current State: 38:[38, 43, 0], Operations: ['17-17=0']
Exploring Operation: 43*0=0, Resulting Numbers: [38, 0]
Generated Node #3: [38, 0] from Operation: 43*0=0
Current State: 38:[38, 0], Operations: ['17-17=0', '43*0=0']
Exploring Operation: 38+0=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
6,
59,
47,
29
] | 47 | [
"6+59=65",
"47-29=18",
"65-18=47"
] | Current State: 47:[6, 59, 47, 29], Operations: []
Exploring Operation: 6+59=65, Resulting Numbers: [47, 29, 65]
Generated Node #2: [47, 29, 65] from Operation: 6+59=65
Current State: 47:[47, 29, 65], Operations: ['6+59=65']
Exploring Operation: 47-29=18, Resulting Numbers: [65, 18]
Generated Node #3: [65, 18] from Operation: 47-29=18
Current State: 47:[65, 18], Operations: ['6+59=65', '47-29=18']
Exploring Operation: 65-18=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
38,
45,
16,
52
] | 29 | [
"45-38=7",
"52-16=36",
"36-7=29"
] | Current State: 29:[38, 45, 16, 52], Operations: []
Exploring Operation: 45-38=7, Resulting Numbers: [16, 52, 7]
Generated Node #2: [16, 52, 7] from Operation: 45-38=7
Current State: 29:[16, 52, 7], Operations: ['45-38=7']
Exploring Operation: 52-16=36, Resulting Numbers: [7, 36]
Generated Node #3: [7, 36] from Operation: 52-16=36
Current State: 29:[7, 36], Operations: ['45-38=7', '52-16=36']
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
9,
76,
78,
27
] | 20 | [
"9+76=85",
"78+27=105",
"105-85=20"
] | Current State: 20:[9, 76, 78, 27], Operations: []
Exploring Operation: 9+76=85, Resulting Numbers: [78, 27, 85]
Generated Node #2: [78, 27, 85] from Operation: 9+76=85
Current State: 20:[78, 27, 85], Operations: ['9+76=85']
Exploring Operation: 78+27=105, Resulting Numbers: [85, 105]
Generated Node #3: [85, 105] from Operation: 78+27=105
Current State: 20:[85, 105], Operations: ['9+76=85', '78+27=105']
Exploring Operation: 105-85=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
47,
12,
52,
92
] | 75 | [
"47-12=35",
"92-52=40",
"35+40=75"
] | Current State: 75:[47, 12, 52, 92], Operations: []
Exploring Operation: 47-12=35, Resulting Numbers: [52, 92, 35]
Generated Node #2: [52, 92, 35] from Operation: 47-12=35
Current State: 75:[52, 92, 35], Operations: ['47-12=35']
Exploring Operation: 92-52=40, Resulting Numbers: [35, 40]
Generated Node #3: [35, 40] from Operation: 92-52=40
Current State: 75:[35, 40], Operations: ['47-12=35', '92-52=40']
Exploring Operation: 35+40=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
51,
67,
47,
44
] | 75 | [
"67-51=16",
"47+44=91",
"91-16=75"
] | Current State: 75:[51, 67, 47, 44], Operations: []
Exploring Operation: 67-51=16, Resulting Numbers: [47, 44, 16]
Generated Node #2: [47, 44, 16] from Operation: 67-51=16
Current State: 75:[47, 44, 16], Operations: ['67-51=16']
Exploring Operation: 47+44=91, Resulting Numbers: [16, 91]
Generated Node #3: [16, 91] from Operation: 47+44=91
Current State: 75:[16, 91], Operations: ['67-51=16', '47+44=91']
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
82,
26,
10,
3
] | 49 | [
"82-26=56",
"10-3=7",
"56-7=49"
] | Current State: 49:[82, 26, 10, 3], Operations: []
Exploring Operation: 82-26=56, Resulting Numbers: [10, 3, 56]
Generated Node #2: [10, 3, 56] from Operation: 82-26=56
Current State: 49:[10, 3, 56], Operations: ['82-26=56']
Exploring Operation: 10-3=7, Resulting Numbers: [56, 7]
Generated Node #3: [56, 7] from Operation: 10-3=7
Current State: 49:[56, 7], Operations: ['82-26=56', '10-3=7']
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
99,
40,
79,
59
] | 42 | [
"99+59=158",
"158/79=2",
"40+2=42"
] | Current State: 42:[99, 40, 79, 59], Operations: []
Exploring Operation: 99+59=158, Resulting Numbers: [40, 79, 158]
Generated Node #2: [40, 79, 158] from Operation: 99+59=158
Current State: 42:[40, 79, 158], Operations: ['99+59=158']
Exploring Operation: 158/79=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 158/79=2
Current State: 42:[40, 2], Operations: ['99+59=158', '158/79=2']
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
23,
38,
71,
36
] | 24 | [
"71-23=48",
"38-36=2",
"48/2=24"
] | Current State: 24:[23, 38, 71, 36], Operations: []
Exploring Operation: 71-23=48, Resulting Numbers: [38, 36, 48]
Generated Node #2: [38, 36, 48] from Operation: 71-23=48
Current State: 24:[38, 36, 48], Operations: ['71-23=48']
Exploring Operation: 38-36=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 38-36=2
Current State: 24:[48, 2], Operations: ['71-23=48', '38-36=2']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
33,
77,
87,
18
] | 41 | [
"33+77=110",
"87-18=69",
"110-69=41"
] | Current State: 41:[33, 77, 87, 18], Operations: []
Exploring Operation: 33+77=110, Resulting Numbers: [87, 18, 110]
Generated Node #2: [87, 18, 110] from Operation: 33+77=110
Current State: 41:[87, 18, 110], Operations: ['33+77=110']
Exploring Operation: 87-18=69, Resulting Numbers: [110, 69]
Generated Node #3: [110, 69] from Operation: 87-18=69
Current State: 41:[110, 69], Operations: ['33+77=110', '87-18=69']
Exploring Operation: 110-69=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
64,
76,
56,
6
] | 78 | [
"64+76=140",
"56+6=62",
"140-62=78"
] | Current State: 78:[64, 76, 56, 6], Operations: []
Exploring Operation: 64+76=140, Resulting Numbers: [56, 6, 140]
Generated Node #2: [56, 6, 140] from Operation: 64+76=140
Current State: 78:[56, 6, 140], Operations: ['64+76=140']
Exploring Operation: 56+6=62, Resulting Numbers: [140, 62]
Generated Node #3: [140, 62] from Operation: 56+6=62
Current State: 78:[140, 62], Operations: ['64+76=140', '56+6=62']
Exploring Operation: 140-62=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
97,
2,
53,
17
] | 100 | [
"53-2=51",
"51/17=3",
"97+3=100"
] | Current State: 100:[97, 2, 53, 17], Operations: []
Exploring Operation: 53-2=51, Resulting Numbers: [97, 17, 51]
Generated Node #2: [97, 17, 51] from Operation: 53-2=51
Current State: 100:[97, 17, 51], Operations: ['53-2=51']
Exploring Operation: 51/17=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 51/17=3
Current State: 100:[97, 3], Operations: ['53-2=51', '51/17=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
38,
13,
47,
58
] | 54 | [
"38+13=51",
"47+58=105",
"105-51=54"
] | Current State: 54:[38, 13, 47, 58], Operations: []
Exploring Operation: 38+13=51, Resulting Numbers: [47, 58, 51]
Generated Node #2: [47, 58, 51] from Operation: 38+13=51
Current State: 54:[47, 58, 51], Operations: ['38+13=51']
Exploring Operation: 47+58=105, Resulting Numbers: [51, 105]
Generated Node #3: [51, 105] from Operation: 47+58=105
Current State: 54:[51, 105], Operations: ['38+13=51', '47+58=105']
Exploring Operation: 105-51=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
3,
84,
48,
85
] | 23 | [
"84-48=36",
"3*36=108",
"108-85=23"
] | Current State: 23:[3, 84, 48, 85], Operations: []
Exploring Operation: 84-48=36, Resulting Numbers: [3, 85, 36]
Generated Node #2: [3, 85, 36] from Operation: 84-48=36
Current State: 23:[3, 85, 36], Operations: ['84-48=36']
Exploring Operation: 3*36=108, Resulting Numbers: [85, 108]
Generated Node #3: [85, 108] from Operation: 3*36=108
Current State: 23:[85, 108], Operations: ['84-48=36', '3*36=108']
Exploring Operation: 108-85=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
92,
42,
42,
4
] | 87 | [
"92-4=88",
"42/42=1",
"88-1=87"
] | Current State: 87:[92, 42, 42, 4], Operations: []
Exploring Operation: 92-4=88, Resulting Numbers: [42, 42, 88]
Generated Node #2: [42, 42, 88] from Operation: 92-4=88
Current State: 87:[42, 42, 88], Operations: ['92-4=88']
Exploring Operation: 42/42=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 42/42=1
Current State: 87:[88, 1], Operations: ['92-4=88', '42/42=1']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
58,
8,
1,
64
] | 66 | [
"58*1=58",
"64/8=8",
"58+8=66"
] | Current State: 66:[58, 8, 1, 64], Operations: []
Exploring Operation: 58*1=58, Resulting Numbers: [8, 64, 58]
Generated Node #2: [8, 64, 58] from Operation: 58*1=58
Current State: 66:[8, 64, 58], Operations: ['58*1=58']
Exploring Operation: 64/8=8, Resulting Numbers: [58, 8]
Generated Node #3: [58, 8] from Operation: 64/8=8
Current State: 66:[58, 8], Operations: ['58*1=58', '64/8=8']
Exploring Operation: 58+8=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
70,
66,
55,
35
] | 77 | [
"70*66=4620",
"4620/35=132",
"132-55=77"
] | Current State: 77:[70, 66, 55, 35], Operations: []
Exploring Operation: 70*66=4620, Resulting Numbers: [55, 35, 4620]
Generated Node #2: [55, 35, 4620] from Operation: 70*66=4620
Current State: 77:[55, 35, 4620], Operations: ['70*66=4620']
Exploring Operation: 4620/35=132, Resulting Numbers: [55, 132]
Generated Node #3: [55, 132] from Operation: 4620/35=132
Current State: 77:[55, 132], Operations: ['70*66=4620', '4620/35=132']
Exploring Operation: 132-55=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
3,
75,
54,
70
] | 63 | [
"75-54=21",
"21/3=7",
"70-7=63"
] | Current State: 63:[3, 75, 54, 70], Operations: []
Exploring Operation: 75-54=21, Resulting Numbers: [3, 70, 21]
Generated Node #2: [3, 70, 21] from Operation: 75-54=21
Current State: 63:[3, 70, 21], Operations: ['75-54=21']
Exploring Operation: 21/3=7, Resulting Numbers: [70, 7]
Generated Node #3: [70, 7] from Operation: 21/3=7
Current State: 63:[70, 7], Operations: ['75-54=21', '21/3=7']
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
66,
35,
17,
80
] | 32 | [
"66-35=31",
"80-17=63",
"63-31=32"
] | Current State: 32:[66, 35, 17, 80], Operations: []
Exploring Operation: 66-35=31, Resulting Numbers: [17, 80, 31]
Generated Node #2: [17, 80, 31] from Operation: 66-35=31
Current State: 32:[17, 80, 31], Operations: ['66-35=31']
Exploring Operation: 80-17=63, Resulting Numbers: [31, 63]
Generated Node #3: [31, 63] from Operation: 80-17=63
Current State: 32:[31, 63], Operations: ['66-35=31', '80-17=63']
Exploring Operation: 63-31=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
65,
57,
40,
17
] | 85 | [
"65-57=8",
"40*17=680",
"680/8=85"
] | Current State: 85:[65, 57, 40, 17], Operations: []
Exploring Operation: 65-57=8, Resulting Numbers: [40, 17, 8]
Generated Node #2: [40, 17, 8] from Operation: 65-57=8
Current State: 85:[40, 17, 8], Operations: ['65-57=8']
Exploring Operation: 40*17=680, Resulting Numbers: [8, 680]
Generated Node #3: [8, 680] from Operation: 40*17=680
Current State: 85:[8, 680], Operations: ['65-57=8', '40*17=680']
Exploring Operation: 680/8=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
37,
2,
27,
3
] | 55 | [
"2*27=54",
"54/3=18",
"37+18=55"
] | Current State: 55:[37, 2, 27, 3], Operations: []
Exploring Operation: 2*27=54, Resulting Numbers: [37, 3, 54]
Generated Node #2: [37, 3, 54] from Operation: 2*27=54
Current State: 55:[37, 3, 54], Operations: ['2*27=54']
Exploring Operation: 54/3=18, Resulting Numbers: [37, 18]
Generated Node #3: [37, 18] from Operation: 54/3=18
Current State: 55:[37, 18], Operations: ['2*27=54', '54/3=18']
Exploring Operation: 37+18=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
1,
97,
4,
70
] | 23 | [
"1*97=97",
"4+70=74",
"97-74=23"
] | Current State: 23:[1, 97, 4, 70], Operations: []
Exploring Operation: 1*97=97, Resulting Numbers: [4, 70, 97]
Generated Node #2: [4, 70, 97] from Operation: 1*97=97
Current State: 23:[4, 70, 97], Operations: ['1*97=97']
Exploring Operation: 4+70=74, Resulting Numbers: [97, 74]
Generated Node #3: [97, 74] from Operation: 4+70=74
Current State: 23:[97, 74], Operations: ['1*97=97', '4+70=74']
Exploring Operation: 97-74=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
29,
16,
20,
58
] | 72 | [
"58/29=2",
"16+20=36",
"2*36=72"
] | Current State: 72:[29, 16, 20, 58], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [16, 20, 2]
Generated Node #2: [16, 20, 2] from Operation: 58/29=2
Current State: 72:[16, 20, 2], Operations: ['58/29=2']
Exploring Operation: 16+20=36, Resulting Numbers: [2, 36]
Generated Node #3: [2, 36] from Operation: 16+20=36
Current State: 72:[2, 36], Operations: ['58/29=2', '16+20=36']
Exploring Operation: 2*36=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
36,
84,
2,
54
] | 48 | [
"36/2=18",
"84-54=30",
"18+30=48"
] | Current State: 48:[36, 84, 2, 54], Operations: []
Exploring Operation: 36/2=18, Resulting Numbers: [84, 54, 18]
Generated Node #2: [84, 54, 18] from Operation: 36/2=18
Current State: 48:[84, 54, 18], Operations: ['36/2=18']
Exploring Operation: 84-54=30, Resulting Numbers: [18, 30]
Generated Node #3: [18, 30] from Operation: 84-54=30
Current State: 48:[18, 30], Operations: ['36/2=18', '84-54=30']
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
38,
8,
31,
51
] | 52 | [
"38-8=30",
"31+51=82",
"82-30=52"
] | Current State: 52:[38, 8, 31, 51], Operations: []
Exploring Operation: 38-8=30, Resulting Numbers: [31, 51, 30]
Generated Node #2: [31, 51, 30] from Operation: 38-8=30
Current State: 52:[31, 51, 30], Operations: ['38-8=30']
Exploring Operation: 31+51=82, Resulting Numbers: [30, 82]
Generated Node #3: [30, 82] from Operation: 31+51=82
Current State: 52:[30, 82], Operations: ['38-8=30', '31+51=82']
Exploring Operation: 82-30=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
86,
32,
28,
3
] | 46 | [
"86-32=54",
"54/3=18",
"28+18=46"
] | Current State: 46:[86, 32, 28, 3], Operations: []
Exploring Operation: 86-32=54, Resulting Numbers: [28, 3, 54]
Generated Node #2: [28, 3, 54] from Operation: 86-32=54
Current State: 46:[28, 3, 54], Operations: ['86-32=54']
Exploring Operation: 54/3=18, Resulting Numbers: [28, 18]
Generated Node #3: [28, 18] from Operation: 54/3=18
Current State: 46:[28, 18], Operations: ['86-32=54', '54/3=18']
Exploring Operation: 28+18=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
87,
23,
23,
1
] | 89 | [
"87+1=88",
"23/23=1",
"88+1=89"
] | Current State: 89:[87, 23, 23, 1], Operations: []
Exploring Operation: 87+1=88, Resulting Numbers: [23, 23, 88]
Generated Node #2: [23, 23, 88] from Operation: 87+1=88
Current State: 89:[23, 23, 88], Operations: ['87+1=88']
Exploring Operation: 23/23=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 23/23=1
Current State: 89:[88, 1], Operations: ['87+1=88', '23/23=1']
Exploring Operation: 88+1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
49,
67,
35,
3
] | 45 | [
"49*3=147",
"67+35=102",
"147-102=45"
] | Current State: 45:[49, 67, 35, 3], Operations: []
Exploring Operation: 49*3=147, Resulting Numbers: [67, 35, 147]
Generated Node #2: [67, 35, 147] from Operation: 49*3=147
Current State: 45:[67, 35, 147], Operations: ['49*3=147']
Exploring Operation: 67+35=102, Resulting Numbers: [147, 102]
Generated Node #3: [147, 102] from Operation: 67+35=102
Current State: 45:[147, 102], Operations: ['49*3=147', '67+35=102']
Exploring Operation: 147-102=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
40,
25,
27,
8
] | 20 | [
"40-25=15",
"27+8=35",
"35-15=20"
] | Current State: 20:[40, 25, 27, 8], Operations: []
Exploring Operation: 40-25=15, Resulting Numbers: [27, 8, 15]
Generated Node #2: [27, 8, 15] from Operation: 40-25=15
Current State: 20:[27, 8, 15], Operations: ['40-25=15']
Exploring Operation: 27+8=35, Resulting Numbers: [15, 35]
Generated Node #3: [15, 35] from Operation: 27+8=35
Current State: 20:[15, 35], Operations: ['40-25=15', '27+8=35']
Exploring Operation: 35-15=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
85,
76,
50,
11
] | 25 | [
"85-76=9",
"11-9=2",
"50/2=25"
] | Current State: 25:[85, 76, 50, 11], Operations: []
Exploring Operation: 85-76=9, Resulting Numbers: [50, 11, 9]
Generated Node #2: [50, 11, 9] from Operation: 85-76=9
Current State: 25:[50, 11, 9], Operations: ['85-76=9']
Exploring Operation: 11-9=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 11-9=2
Current State: 25:[50, 2], Operations: ['85-76=9', '11-9=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
63,
75,
39,
12
] | 60 | [
"75-39=36",
"36/12=3",
"63-3=60"
] | Current State: 60:[63, 75, 39, 12], Operations: []
Exploring Operation: 75-39=36, Resulting Numbers: [63, 12, 36]
Generated Node #2: [63, 12, 36] from Operation: 75-39=36
Current State: 60:[63, 12, 36], Operations: ['75-39=36']
Exploring Operation: 36/12=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 36/12=3
Current State: 60:[63, 3], Operations: ['75-39=36', '36/12=3']
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
89,
94,
7,
13
] | 30 | [
"94-89=5",
"13-7=6",
"5*6=30"
] | Current State: 30:[89, 94, 7, 13], Operations: []
Exploring Operation: 94-89=5, Resulting Numbers: [7, 13, 5]
Generated Node #2: [7, 13, 5] from Operation: 94-89=5
Current State: 30:[7, 13, 5], Operations: ['94-89=5']
Exploring Operation: 13-7=6, Resulting Numbers: [5, 6]
Generated Node #3: [5, 6] from Operation: 13-7=6
Current State: 30:[5, 6], Operations: ['94-89=5', '13-7=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
78,
93,
2,
43
] | 71 | [
"93-78=15",
"2*43=86",
"86-15=71"
] | Current State: 71:[78, 93, 2, 43], Operations: []
Exploring Operation: 93-78=15, Resulting Numbers: [2, 43, 15]
Generated Node #2: [2, 43, 15] from Operation: 93-78=15
Current State: 71:[2, 43, 15], Operations: ['93-78=15']
Exploring Operation: 2*43=86, Resulting Numbers: [15, 86]
Generated Node #3: [15, 86] from Operation: 2*43=86
Current State: 71:[15, 86], Operations: ['93-78=15', '2*43=86']
Exploring Operation: 86-15=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
66,
96,
97,
18
] | 49 | [
"96-66=30",
"97-18=79",
"79-30=49"
] | Current State: 49:[66, 96, 97, 18], Operations: []
Exploring Operation: 96-66=30, Resulting Numbers: [97, 18, 30]
Generated Node #2: [97, 18, 30] from Operation: 96-66=30
Current State: 49:[97, 18, 30], Operations: ['96-66=30']
Exploring Operation: 97-18=79, Resulting Numbers: [30, 79]
Generated Node #3: [30, 79] from Operation: 97-18=79
Current State: 49:[30, 79], Operations: ['96-66=30', '97-18=79']
Exploring Operation: 79-30=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
72,
8,
34,
4
] | 44 | [
"72/4=18",
"34-8=26",
"18+26=44"
] | Current State: 44:[72, 8, 34, 4], Operations: []
Exploring Operation: 72/4=18, Resulting Numbers: [8, 34, 18]
Generated Node #2: [8, 34, 18] from Operation: 72/4=18
Current State: 44:[8, 34, 18], Operations: ['72/4=18']
Exploring Operation: 34-8=26, Resulting Numbers: [18, 26]
Generated Node #3: [18, 26] from Operation: 34-8=26
Current State: 44:[18, 26], Operations: ['72/4=18', '34-8=26']
Exploring Operation: 18+26=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
21,
52,
19,
76
] | 64 | [
"52-21=31",
"19+76=95",
"95-31=64"
] | Current State: 64:[21, 52, 19, 76], Operations: []
Exploring Operation: 52-21=31, Resulting Numbers: [19, 76, 31]
Generated Node #2: [19, 76, 31] from Operation: 52-21=31
Current State: 64:[19, 76, 31], Operations: ['52-21=31']
Exploring Operation: 19+76=95, Resulting Numbers: [31, 95]
Generated Node #3: [31, 95] from Operation: 19+76=95
Current State: 64:[31, 95], Operations: ['52-21=31', '19+76=95']
Exploring Operation: 95-31=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
83,
41,
2,
35
] | 17 | [
"83-35=48",
"48/2=24",
"41-24=17"
] | Current State: 17:[83, 41, 2, 35], Operations: []
Exploring Operation: 83-35=48, Resulting Numbers: [41, 2, 48]
Generated Node #2: [41, 2, 48] from Operation: 83-35=48
Current State: 17:[41, 2, 48], Operations: ['83-35=48']
Exploring Operation: 48/2=24, Resulting Numbers: [41, 24]
Generated Node #3: [41, 24] from Operation: 48/2=24
Current State: 17:[41, 24], Operations: ['83-35=48', '48/2=24']
Exploring Operation: 41-24=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
41,
60,
28,
94
] | 47 | [
"60-41=19",
"94-28=66",
"66-19=47"
] | Current State: 47:[41, 60, 28, 94], Operations: []
Exploring Operation: 60-41=19, Resulting Numbers: [28, 94, 19]
Generated Node #2: [28, 94, 19] from Operation: 60-41=19
Current State: 47:[28, 94, 19], Operations: ['60-41=19']
Exploring Operation: 94-28=66, Resulting Numbers: [19, 66]
Generated Node #3: [19, 66] from Operation: 94-28=66
Current State: 47:[19, 66], Operations: ['60-41=19', '94-28=66']
Exploring Operation: 66-19=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
81,
3,
81,
30
] | 27 | [
"81+3=84",
"81+30=111",
"111-84=27"
] | Current State: 27:[81, 3, 81, 30], Operations: []
Exploring Operation: 81+3=84, Resulting Numbers: [30, 84]
Generated Node #2: [30, 84] from Operation: 81+3=84
Current State: 27:[30, 84], Operations: ['81+3=84']
Exploring Operation: 81+30=111, Resulting Numbers: [84, 111]
Generated Node #3: [84, 111] from Operation: 81+30=111
Current State: 27:[84, 111], Operations: ['81+3=84', '81+30=111']
Exploring Operation: 111-84=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
18,
79,
78,
15
] | 14 | [
"78*15=1170",
"1170/18=65",
"79-65=14"
] | Current State: 14:[18, 79, 78, 15], Operations: []
Exploring Operation: 78*15=1170, Resulting Numbers: [18, 79, 1170]
Generated Node #2: [18, 79, 1170] from Operation: 78*15=1170
Current State: 14:[18, 79, 1170], Operations: ['78*15=1170']
Exploring Operation: 1170/18=65, Resulting Numbers: [79, 65]
Generated Node #3: [79, 65] from Operation: 1170/18=65
Current State: 14:[79, 65], Operations: ['78*15=1170', '1170/18=65']
Exploring Operation: 79-65=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
61,
17,
22,
51
] | 53 | [
"61-17=44",
"44/22=2",
"51+2=53"
] | Current State: 53:[61, 17, 22, 51], Operations: []
Exploring Operation: 61-17=44, Resulting Numbers: [22, 51, 44]
Generated Node #2: [22, 51, 44] from Operation: 61-17=44
Current State: 53:[22, 51, 44], Operations: ['61-17=44']
Exploring Operation: 44/22=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 44/22=2
Current State: 53:[51, 2], Operations: ['61-17=44', '44/22=2']
Exploring Operation: 51+2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
64,
33,
91,
92
] | 96 | [
"64+33=97",
"92-91=1",
"97-1=96"
] | Current State: 96:[64, 33, 91, 92], Operations: []
Exploring Operation: 64+33=97, Resulting Numbers: [91, 92, 97]
Generated Node #2: [91, 92, 97] from Operation: 64+33=97
Current State: 96:[91, 92, 97], Operations: ['64+33=97']
Exploring Operation: 92-91=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 92-91=1
Current State: 96:[97, 1], Operations: ['64+33=97', '92-91=1']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
23,
59,
13,
3
] | 89 | [
"23-13=10",
"3*10=30",
"59+30=89"
] | Current State: 89:[23, 59, 13, 3], Operations: []
Exploring Operation: 23-13=10, Resulting Numbers: [59, 3, 10]
Generated Node #2: [59, 3, 10] from Operation: 23-13=10
Current State: 89:[59, 3, 10], Operations: ['23-13=10']
Exploring Operation: 3*10=30, Resulting Numbers: [59, 30]
Generated Node #3: [59, 30] from Operation: 3*10=30
Current State: 89:[59, 30], Operations: ['23-13=10', '3*10=30']
Exploring Operation: 59+30=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
20,
4,
8,
82
] | 46 | [
"20-4=16",
"8*16=128",
"128-82=46"
] | Current State: 46:[20, 4, 8, 82], Operations: []
Exploring Operation: 20-4=16, Resulting Numbers: [8, 82, 16]
Generated Node #2: [8, 82, 16] from Operation: 20-4=16
Current State: 46:[8, 82, 16], Operations: ['20-4=16']
Exploring Operation: 8*16=128, Resulting Numbers: [82, 128]
Generated Node #3: [82, 128] from Operation: 8*16=128
Current State: 46:[82, 128], Operations: ['20-4=16', '8*16=128']
Exploring Operation: 128-82=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
36,
77,
70,
54
] | 99 | [
"36+54=90",
"77*90=6930",
"6930/70=99"
] | Current State: 99:[36, 77, 70, 54], Operations: []
Exploring Operation: 36+54=90, Resulting Numbers: [77, 70, 90]
Generated Node #2: [77, 70, 90] from Operation: 36+54=90
Current State: 99:[77, 70, 90], Operations: ['36+54=90']
Exploring Operation: 77*90=6930, Resulting Numbers: [70, 6930]
Generated Node #3: [70, 6930] from Operation: 77*90=6930
Current State: 99:[70, 6930], Operations: ['36+54=90', '77*90=6930']
Exploring Operation: 6930/70=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
2,
7,
46,
19
] | 18 | [
"2+7=9",
"46-19=27",
"27-9=18"
] | Current State: 18:[2, 7, 46, 19], Operations: []
Exploring Operation: 2+7=9, Resulting Numbers: [46, 19, 9]
Generated Node #2: [46, 19, 9] from Operation: 2+7=9
Current State: 18:[46, 19, 9], Operations: ['2+7=9']
Exploring Operation: 46-19=27, Resulting Numbers: [9, 27]
Generated Node #3: [9, 27] from Operation: 46-19=27
Current State: 18:[9, 27], Operations: ['2+7=9', '46-19=27']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
42,
87,
59,
78
] | 52 | [
"87-59=28",
"78*28=2184",
"2184/42=52"
] | Current State: 52:[42, 87, 59, 78], Operations: []
Exploring Operation: 87-59=28, Resulting Numbers: [42, 78, 28]
Generated Node #2: [42, 78, 28] from Operation: 87-59=28
Current State: 52:[42, 78, 28], Operations: ['87-59=28']
Exploring Operation: 78*28=2184, Resulting Numbers: [42, 2184]
Generated Node #3: [42, 2184] from Operation: 78*28=2184
Current State: 52:[42, 2184], Operations: ['87-59=28', '78*28=2184']
Exploring Operation: 2184/42=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
59,
80,
20,
5
] | 63 | [
"59+20=79",
"80/5=16",
"79-16=63"
] | Current State: 63:[59, 80, 20, 5], Operations: []
Exploring Operation: 59+20=79, Resulting Numbers: [80, 5, 79]
Generated Node #2: [80, 5, 79] from Operation: 59+20=79
Current State: 63:[80, 5, 79], Operations: ['59+20=79']
Exploring Operation: 80/5=16, Resulting Numbers: [79, 16]
Generated Node #3: [79, 16] from Operation: 80/5=16
Current State: 63:[79, 16], Operations: ['59+20=79', '80/5=16']
Exploring Operation: 79-16=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
25,
85,
20,
92
] | 77 | [
"20*92=1840",
"85+1840=1925",
"1925/25=77"
] | Current State: 77:[25, 85, 20, 92], Operations: []
Exploring Operation: 20*92=1840, Resulting Numbers: [25, 85, 1840]
Generated Node #2: [25, 85, 1840] from Operation: 20*92=1840
Current State: 77:[25, 85, 1840], Operations: ['20*92=1840']
Exploring Operation: 85+1840=1925, Resulting Numbers: [25, 1925]
Generated Node #3: [25, 1925] from Operation: 85+1840=1925
Current State: 77:[25, 1925], Operations: ['20*92=1840', '85+1840=1925']
Exploring Operation: 1925/25=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
71,
86,
98,
63
] | 23 | [
"71-63=8",
"86+98=184",
"184/8=23"
] | Current State: 23:[71, 86, 98, 63], Operations: []
Exploring Operation: 71-63=8, Resulting Numbers: [86, 98, 8]
Generated Node #2: [86, 98, 8] from Operation: 71-63=8
Current State: 23:[86, 98, 8], Operations: ['71-63=8']
Exploring Operation: 86+98=184, Resulting Numbers: [8, 184]
Generated Node #3: [8, 184] from Operation: 86+98=184
Current State: 23:[8, 184], Operations: ['71-63=8', '86+98=184']
Exploring Operation: 184/8=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
51,
7,
56,
73
] | 71 | [
"51+7=58",
"56+73=129",
"129-58=71"
] | Current State: 71:[51, 7, 56, 73], Operations: []
Exploring Operation: 51+7=58, Resulting Numbers: [56, 73, 58]
Generated Node #2: [56, 73, 58] from Operation: 51+7=58
Current State: 71:[56, 73, 58], Operations: ['51+7=58']
Exploring Operation: 56+73=129, Resulting Numbers: [58, 129]
Generated Node #3: [58, 129] from Operation: 56+73=129
Current State: 71:[58, 129], Operations: ['51+7=58', '56+73=129']
Exploring Operation: 129-58=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
77,
40,
80,
9
] | 11 | [
"80/40=2",
"9-2=7",
"77/7=11"
] | Current State: 11:[77, 40, 80, 9], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [77, 9, 2]
Generated Node #2: [77, 9, 2] from Operation: 80/40=2
Current State: 11:[77, 9, 2], Operations: ['80/40=2']
Exploring Operation: 9-2=7, Resulting Numbers: [77, 7]
Generated Node #3: [77, 7] from Operation: 9-2=7
Current State: 11:[77, 7], Operations: ['80/40=2', '9-2=7']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
56,
53,
82,
21
] | 89 | [
"56-53=3",
"21/3=7",
"82+7=89"
] | Current State: 89:[56, 53, 82, 21], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [82, 21, 3]
Generated Node #2: [82, 21, 3] from Operation: 56-53=3
Current State: 89:[82, 21, 3], Operations: ['56-53=3']
Exploring Operation: 21/3=7, Resulting Numbers: [82, 7]
Generated Node #3: [82, 7] from Operation: 21/3=7
Current State: 89:[82, 7], Operations: ['56-53=3', '21/3=7']
Exploring Operation: 82+7=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
72,
41,
75,
53
] | 81 | [
"53-41=12",
"72/12=6",
"75+6=81"
] | Current State: 81:[72, 41, 75, 53], Operations: []
Exploring Operation: 53-41=12, Resulting Numbers: [72, 75, 12]
Generated Node #2: [72, 75, 12] from Operation: 53-41=12
Current State: 81:[72, 75, 12], Operations: ['53-41=12']
Exploring Operation: 72/12=6, Resulting Numbers: [75, 6]
Generated Node #3: [75, 6] from Operation: 72/12=6
Current State: 81:[75, 6], Operations: ['53-41=12', '72/12=6']
Exploring Operation: 75+6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
64,
20,
96,
32
] | 84 | [
"64-20=44",
"96+32=128",
"128-44=84"
] | Current State: 84:[64, 20, 96, 32], Operations: []
Exploring Operation: 64-20=44, Resulting Numbers: [96, 32, 44]
Generated Node #2: [96, 32, 44] from Operation: 64-20=44
Current State: 84:[96, 32, 44], Operations: ['64-20=44']
Exploring Operation: 96+32=128, Resulting Numbers: [44, 128]
Generated Node #3: [44, 128] from Operation: 96+32=128
Current State: 84:[44, 128], Operations: ['64-20=44', '96+32=128']
Exploring Operation: 128-44=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
17,
28,
47,
29
] | 27 | [
"17+28=45",
"47-29=18",
"45-18=27"
] | Current State: 27:[17, 28, 47, 29], Operations: []
Exploring Operation: 17+28=45, Resulting Numbers: [47, 29, 45]
Generated Node #2: [47, 29, 45] from Operation: 17+28=45
Current State: 27:[47, 29, 45], Operations: ['17+28=45']
Exploring Operation: 47-29=18, Resulting Numbers: [45, 18]
Generated Node #3: [45, 18] from Operation: 47-29=18
Current State: 27:[45, 18], Operations: ['17+28=45', '47-29=18']
Exploring Operation: 45-18=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
18,
4,
12,
1
] | 70 | [
"12+1=13",
"4*13=52",
"18+52=70"
] | Current State: 70:[18, 4, 12, 1], Operations: []
Exploring Operation: 12+1=13, Resulting Numbers: [18, 4, 13]
Generated Node #2: [18, 4, 13] from Operation: 12+1=13
Current State: 70:[18, 4, 13], Operations: ['12+1=13']
Exploring Operation: 4*13=52, Resulting Numbers: [18, 52]
Generated Node #3: [18, 52] from Operation: 4*13=52
Current State: 70:[18, 52], Operations: ['12+1=13', '4*13=52']
Exploring Operation: 18+52=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
61,
3,
72,
49
] | 87 | [
"61+3=64",
"72-49=23",
"64+23=87"
] | Current State: 87:[61, 3, 72, 49], Operations: []
Exploring Operation: 61+3=64, Resulting Numbers: [72, 49, 64]
Generated Node #2: [72, 49, 64] from Operation: 61+3=64
Current State: 87:[72, 49, 64], Operations: ['61+3=64']
Exploring Operation: 72-49=23, Resulting Numbers: [64, 23]
Generated Node #3: [64, 23] from Operation: 72-49=23
Current State: 87:[64, 23], Operations: ['61+3=64', '72-49=23']
Exploring Operation: 64+23=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
48,
70,
19,
13
] | 21 | [
"48-13=35",
"70/35=2",
"19+2=21"
] | Current State: 21:[48, 70, 19, 13], Operations: []
Exploring Operation: 48-13=35, Resulting Numbers: [70, 19, 35]
Generated Node #2: [70, 19, 35] from Operation: 48-13=35
Current State: 21:[70, 19, 35], Operations: ['48-13=35']
Exploring Operation: 70/35=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 70/35=2
Current State: 21:[19, 2], Operations: ['48-13=35', '70/35=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
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