nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
50,
71,
30,
5
] | 96 | [
"50+71=121",
"30-5=25",
"121-25=96"
] | Current State: 96:[50, 71, 30, 5], Operations: []
Exploring Operation: 50+71=121, Resulting Numbers: [30, 5, 121]
Generated Node #2: [30, 5, 121] from Operation: 50+71=121
Current State: 96:[30, 5, 121], Operations: ['50+71=121']
Exploring Operation: 30-5=25, Resulting Numbers: [121, 25]
Generated Node #3: [121, 25] from Operation: 30-5=25
Current State: 96:[121, 25], Operations: ['50+71=121', '30-5=25']
Exploring Operation: 121-25=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
70,
18,
69,
61
] | 93 | [
"70-61=9",
"18*9=162",
"162-69=93"
] | Current State: 93:[70, 18, 69, 61], Operations: []
Exploring Operation: 70-61=9, Resulting Numbers: [18, 69, 9]
Generated Node #2: [18, 69, 9] from Operation: 70-61=9
Current State: 93:[18, 69, 9], Operations: ['70-61=9']
Exploring Operation: 18*9=162, Resulting Numbers: [69, 162]
Generated Node #3: [69, 162] from Operation: 18*9=162
Current State: 93:[69, 162], Operations: ['70-61=9', '18*9=162']
Exploring Operation: 162-69=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
20,
23,
58,
46
] | 61 | [
"20+23=43",
"58+46=104",
"104-43=61"
] | Current State: 61:[20, 23, 58, 46], Operations: []
Exploring Operation: 20+23=43, Resulting Numbers: [58, 46, 43]
Generated Node #2: [58, 46, 43] from Operation: 20+23=43
Current State: 61:[58, 46, 43], Operations: ['20+23=43']
Exploring Operation: 58+46=104, Resulting Numbers: [43, 104]
Generated Node #3: [43, 104] from Operation: 58+46=104
Current State: 61:[43, 104], Operations: ['20+23=43', '58+46=104']
Exploring Operation: 104-43=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
11,
65,
21,
89
] | 75 | [
"21+89=110",
"110/11=10",
"65+10=75"
] | Current State: 75:[11, 65, 21, 89], Operations: []
Exploring Operation: 21+89=110, Resulting Numbers: [11, 65, 110]
Generated Node #2: [11, 65, 110] from Operation: 21+89=110
Current State: 75:[11, 65, 110], Operations: ['21+89=110']
Exploring Operation: 110/11=10, Resulting Numbers: [65, 10]
Generated Node #3: [65, 10] from Operation: 110/11=10
Current State: 75:[65, 10], Operations: ['21+89=110', '110/11=10']
Exploring Operation: 65+10=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
5,
64,
33,
8
] | 61 | [
"33-8=25",
"5*25=125",
"125-64=61"
] | Current State: 61:[5, 64, 33, 8], Operations: []
Exploring Operation: 33-8=25, Resulting Numbers: [5, 64, 25]
Generated Node #2: [5, 64, 25] from Operation: 33-8=25
Current State: 61:[5, 64, 25], Operations: ['33-8=25']
Exploring Operation: 5*25=125, Resulting Numbers: [64, 125]
Generated Node #3: [64, 125] from Operation: 5*25=125
Current State: 61:[64, 125], Operations: ['33-8=25', '5*25=125']
Exploring Operation: 125-64=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
18,
44,
3,
49
] | 26 | [
"44-18=26",
"3+49=52",
"52-26=26"
] | Current State: 26:[18, 44, 3, 49], Operations: []
Exploring Operation: 44-18=26, Resulting Numbers: [3, 49, 26]
Generated Node #2: [3, 49, 26] from Operation: 44-18=26
Current State: 26:[3, 49, 26], Operations: ['44-18=26']
Exploring Operation: 3+49=52, Resulting Numbers: [26, 52]
Generated Node #3: [26, 52] from Operation: 3+49=52
Current State: 26:[26, 52], Operations: ['44-18=26', '3+49=52']
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
99,
69,
39,
29
] | 99 | [
"69-39=30",
"30-29=1",
"99*1=99"
] | Current State: 99:[99, 69, 39, 29], Operations: []
Exploring Operation: 69-39=30, Resulting Numbers: [99, 29, 30]
Generated Node #2: [99, 29, 30] from Operation: 69-39=30
Current State: 99:[99, 29, 30], Operations: ['69-39=30']
Exploring Operation: 30-29=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 30-29=1
Current State: 99:[99, 1], Operations: ['69-39=30', '30-29=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
28,
50,
58,
49
] | 87 | [
"28+50=78",
"58-49=9",
"78+9=87"
] | Current State: 87:[28, 50, 58, 49], Operations: []
Exploring Operation: 28+50=78, Resulting Numbers: [58, 49, 78]
Generated Node #2: [58, 49, 78] from Operation: 28+50=78
Current State: 87:[58, 49, 78], Operations: ['28+50=78']
Exploring Operation: 58-49=9, Resulting Numbers: [78, 9]
Generated Node #3: [78, 9] from Operation: 58-49=9
Current State: 87:[78, 9], Operations: ['28+50=78', '58-49=9']
Exploring Operation: 78+9=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
55,
68,
43,
15
] | 35 | [
"55*43=2365",
"15+2365=2380",
"2380/68=35"
] | Current State: 35:[55, 68, 43, 15], Operations: []
Exploring Operation: 55*43=2365, Resulting Numbers: [68, 15, 2365]
Generated Node #2: [68, 15, 2365] from Operation: 55*43=2365
Current State: 35:[68, 15, 2365], Operations: ['55*43=2365']
Exploring Operation: 15+2365=2380, Resulting Numbers: [68, 2380]
Generated Node #3: [68, 2380] from Operation: 15+2365=2380
Current State: 35:[68, 2380], Operations: ['55*43=2365', '15+2365=2380']
Exploring Operation: 2380/68=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
8,
21,
14,
87
] | 99 | [
"8*21=168",
"168/14=12",
"87+12=99"
] | Current State: 99:[8, 21, 14, 87], Operations: []
Exploring Operation: 8*21=168, Resulting Numbers: [14, 87, 168]
Generated Node #2: [14, 87, 168] from Operation: 8*21=168
Current State: 99:[14, 87, 168], Operations: ['8*21=168']
Exploring Operation: 168/14=12, Resulting Numbers: [87, 12]
Generated Node #3: [87, 12] from Operation: 168/14=12
Current State: 99:[87, 12], Operations: ['8*21=168', '168/14=12']
Exploring Operation: 87+12=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
80,
57,
97,
78
] | 77 | [
"80-78=2",
"57+97=154",
"154/2=77"
] | Current State: 77:[80, 57, 97, 78], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [57, 97, 2]
Generated Node #2: [57, 97, 2] from Operation: 80-78=2
Current State: 77:[57, 97, 2], Operations: ['80-78=2']
Exploring Operation: 57+97=154, Resulting Numbers: [2, 154]
Generated Node #3: [2, 154] from Operation: 57+97=154
Current State: 77:[2, 154], Operations: ['80-78=2', '57+97=154']
Exploring Operation: 154/2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
21,
76,
84,
79
] | 89 | [
"84-76=8",
"21*8=168",
"168-79=89"
] | Current State: 89:[21, 76, 84, 79], Operations: []
Exploring Operation: 84-76=8, Resulting Numbers: [21, 79, 8]
Generated Node #2: [21, 79, 8] from Operation: 84-76=8
Current State: 89:[21, 79, 8], Operations: ['84-76=8']
Exploring Operation: 21*8=168, Resulting Numbers: [79, 168]
Generated Node #3: [79, 168] from Operation: 21*8=168
Current State: 89:[79, 168], Operations: ['84-76=8', '21*8=168']
Exploring Operation: 168-79=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
63,
27,
98,
32
] | 10 | [
"27*98=2646",
"2646/63=42",
"42-32=10"
] | Current State: 10:[63, 27, 98, 32], Operations: []
Exploring Operation: 27*98=2646, Resulting Numbers: [63, 32, 2646]
Generated Node #2: [63, 32, 2646] from Operation: 27*98=2646
Current State: 10:[63, 32, 2646], Operations: ['27*98=2646']
Exploring Operation: 2646/63=42, Resulting Numbers: [32, 42]
Generated Node #3: [32, 42] from Operation: 2646/63=42
Current State: 10:[32, 42], Operations: ['27*98=2646', '2646/63=42']
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
23,
1,
11,
4
] | 30 | [
"23*1=23",
"11-4=7",
"23+7=30"
] | Current State: 30:[23, 1, 11, 4], Operations: []
Exploring Operation: 23*1=23, Resulting Numbers: [11, 4, 23]
Generated Node #2: [11, 4, 23] from Operation: 23*1=23
Current State: 30:[11, 4, 23], Operations: ['23*1=23']
Exploring Operation: 11-4=7, Resulting Numbers: [23, 7]
Generated Node #3: [23, 7] from Operation: 11-4=7
Current State: 30:[23, 7], Operations: ['23*1=23', '11-4=7']
Exploring Operation: 23+7=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
96,
84,
17,
86
] | 31 | [
"86-84=2",
"96/2=48",
"48-17=31"
] | Current State: 31:[96, 84, 17, 86], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [96, 17, 2]
Generated Node #2: [96, 17, 2] from Operation: 86-84=2
Current State: 31:[96, 17, 2], Operations: ['86-84=2']
Exploring Operation: 96/2=48, Resulting Numbers: [17, 48]
Generated Node #3: [17, 48] from Operation: 96/2=48
Current State: 31:[17, 48], Operations: ['86-84=2', '96/2=48']
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
79,
74,
6,
55
] | 70 | [
"79-55=24",
"6*24=144",
"144-74=70"
] | Current State: 70:[79, 74, 6, 55], Operations: []
Exploring Operation: 79-55=24, Resulting Numbers: [74, 6, 24]
Generated Node #2: [74, 6, 24] from Operation: 79-55=24
Current State: 70:[74, 6, 24], Operations: ['79-55=24']
Exploring Operation: 6*24=144, Resulting Numbers: [74, 144]
Generated Node #3: [74, 144] from Operation: 6*24=144
Current State: 70:[74, 144], Operations: ['79-55=24', '6*24=144']
Exploring Operation: 144-74=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
15,
3,
95,
68
] | 21 | [
"15*95=1425",
"3+1425=1428",
"1428/68=21"
] | Current State: 21:[15, 3, 95, 68], Operations: []
Exploring Operation: 15*95=1425, Resulting Numbers: [3, 68, 1425]
Generated Node #2: [3, 68, 1425] from Operation: 15*95=1425
Current State: 21:[3, 68, 1425], Operations: ['15*95=1425']
Exploring Operation: 3+1425=1428, Resulting Numbers: [68, 1428]
Generated Node #3: [68, 1428] from Operation: 3+1425=1428
Current State: 21:[68, 1428], Operations: ['15*95=1425', '3+1425=1428']
Exploring Operation: 1428/68=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
18,
76,
29,
89
] | 24 | [
"18+76=94",
"29+89=118",
"118-94=24"
] | Current State: 24:[18, 76, 29, 89], Operations: []
Exploring Operation: 18+76=94, Resulting Numbers: [29, 89, 94]
Generated Node #2: [29, 89, 94] from Operation: 18+76=94
Current State: 24:[29, 89, 94], Operations: ['18+76=94']
Exploring Operation: 29+89=118, Resulting Numbers: [94, 118]
Generated Node #3: [94, 118] from Operation: 29+89=118
Current State: 24:[94, 118], Operations: ['18+76=94', '29+89=118']
Exploring Operation: 118-94=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
77,
3,
33,
56
] | 58 | [
"77+33=110",
"3*56=168",
"168-110=58"
] | Current State: 58:[77, 3, 33, 56], Operations: []
Exploring Operation: 77+33=110, Resulting Numbers: [3, 56, 110]
Generated Node #2: [3, 56, 110] from Operation: 77+33=110
Current State: 58:[3, 56, 110], Operations: ['77+33=110']
Exploring Operation: 3*56=168, Resulting Numbers: [110, 168]
Generated Node #3: [110, 168] from Operation: 3*56=168
Current State: 58:[110, 168], Operations: ['77+33=110', '3*56=168']
Exploring Operation: 168-110=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
30,
8,
34,
76
] | 28 | [
"76-8=68",
"68/34=2",
"30-2=28"
] | Current State: 28:[30, 8, 34, 76], Operations: []
Exploring Operation: 76-8=68, Resulting Numbers: [30, 34, 68]
Generated Node #2: [30, 34, 68] from Operation: 76-8=68
Current State: 28:[30, 34, 68], Operations: ['76-8=68']
Exploring Operation: 68/34=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 68/34=2
Current State: 28:[30, 2], Operations: ['76-8=68', '68/34=2']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
13,
5,
56,
2
] | 20 | [
"13+5=18",
"2*18=36",
"56-36=20"
] | Current State: 20:[13, 5, 56, 2], Operations: []
Exploring Operation: 13+5=18, Resulting Numbers: [56, 2, 18]
Generated Node #2: [56, 2, 18] from Operation: 13+5=18
Current State: 20:[56, 2, 18], Operations: ['13+5=18']
Exploring Operation: 2*18=36, Resulting Numbers: [56, 36]
Generated Node #3: [56, 36] from Operation: 2*18=36
Current State: 20:[56, 36], Operations: ['13+5=18', '2*18=36']
Exploring Operation: 56-36=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
11,
84,
7,
92
] | 11 | [
"84+7=91",
"92-91=1",
"11*1=11"
] | Current State: 11:[11, 84, 7, 92], Operations: []
Exploring Operation: 84+7=91, Resulting Numbers: [11, 92, 91]
Generated Node #2: [11, 92, 91] from Operation: 84+7=91
Current State: 11:[11, 92, 91], Operations: ['84+7=91']
Exploring Operation: 92-91=1, Resulting Numbers: [11, 1]
Generated Node #3: [11, 1] from Operation: 92-91=1
Current State: 11:[11, 1], Operations: ['84+7=91', '92-91=1']
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
81,
8,
86,
91
] | 16 | [
"81+91=172",
"8*172=1376",
"1376/86=16"
] | Current State: 16:[81, 8, 86, 91], Operations: []
Exploring Operation: 81+91=172, Resulting Numbers: [8, 86, 172]
Generated Node #2: [8, 86, 172] from Operation: 81+91=172
Current State: 16:[8, 86, 172], Operations: ['81+91=172']
Exploring Operation: 8*172=1376, Resulting Numbers: [86, 1376]
Generated Node #3: [86, 1376] from Operation: 8*172=1376
Current State: 16:[86, 1376], Operations: ['81+91=172', '8*172=1376']
Exploring Operation: 1376/86=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
81,
51,
42,
60
] | 40 | [
"81-51=30",
"60/30=2",
"42-2=40"
] | Current State: 40:[81, 51, 42, 60], Operations: []
Exploring Operation: 81-51=30, Resulting Numbers: [42, 60, 30]
Generated Node #2: [42, 60, 30] from Operation: 81-51=30
Current State: 40:[42, 60, 30], Operations: ['81-51=30']
Exploring Operation: 60/30=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 60/30=2
Current State: 40:[42, 2], Operations: ['81-51=30', '60/30=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
97,
86,
41,
96
] | 46 | [
"97+86=183",
"41+96=137",
"183-137=46"
] | Current State: 46:[97, 86, 41, 96], Operations: []
Exploring Operation: 97+86=183, Resulting Numbers: [41, 96, 183]
Generated Node #2: [41, 96, 183] from Operation: 97+86=183
Current State: 46:[41, 96, 183], Operations: ['97+86=183']
Exploring Operation: 41+96=137, Resulting Numbers: [183, 137]
Generated Node #3: [183, 137] from Operation: 41+96=137
Current State: 46:[183, 137], Operations: ['97+86=183', '41+96=137']
Exploring Operation: 183-137=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
30,
86,
74,
51
] | 79 | [
"86-30=56",
"74-51=23",
"56+23=79"
] | Current State: 79:[30, 86, 74, 51], Operations: []
Exploring Operation: 86-30=56, Resulting Numbers: [74, 51, 56]
Generated Node #2: [74, 51, 56] from Operation: 86-30=56
Current State: 79:[74, 51, 56], Operations: ['86-30=56']
Exploring Operation: 74-51=23, Resulting Numbers: [56, 23]
Generated Node #3: [56, 23] from Operation: 74-51=23
Current State: 79:[56, 23], Operations: ['86-30=56', '74-51=23']
Exploring Operation: 56+23=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
66,
4,
87,
8
] | 17 | [
"66-4=62",
"87-8=79",
"79-62=17"
] | Current State: 17:[66, 4, 87, 8], Operations: []
Exploring Operation: 66-4=62, Resulting Numbers: [87, 8, 62]
Generated Node #2: [87, 8, 62] from Operation: 66-4=62
Current State: 17:[87, 8, 62], Operations: ['66-4=62']
Exploring Operation: 87-8=79, Resulting Numbers: [62, 79]
Generated Node #3: [62, 79] from Operation: 87-8=79
Current State: 17:[62, 79], Operations: ['66-4=62', '87-8=79']
Exploring Operation: 79-62=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
37,
5,
19,
25
] | 61 | [
"37+19=56",
"25/5=5",
"56+5=61"
] | Current State: 61:[37, 5, 19, 25], Operations: []
Exploring Operation: 37+19=56, Resulting Numbers: [5, 25, 56]
Generated Node #2: [5, 25, 56] from Operation: 37+19=56
Current State: 61:[5, 25, 56], Operations: ['37+19=56']
Exploring Operation: 25/5=5, Resulting Numbers: [56, 5]
Generated Node #3: [56, 5] from Operation: 25/5=5
Current State: 61:[56, 5], Operations: ['37+19=56', '25/5=5']
Exploring Operation: 56+5=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
8,
20,
28,
80
] | 56 | [
"8*20=160",
"28*160=4480",
"4480/80=56"
] | Current State: 56:[8, 20, 28, 80], Operations: []
Exploring Operation: 8*20=160, Resulting Numbers: [28, 80, 160]
Generated Node #2: [28, 80, 160] from Operation: 8*20=160
Current State: 56:[28, 80, 160], Operations: ['8*20=160']
Exploring Operation: 28*160=4480, Resulting Numbers: [80, 4480]
Generated Node #3: [80, 4480] from Operation: 28*160=4480
Current State: 56:[80, 4480], Operations: ['8*20=160', '28*160=4480']
Exploring Operation: 4480/80=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
16,
30,
33,
42
] | 44 | [
"16*33=528",
"42-30=12",
"528/12=44"
] | Current State: 44:[16, 30, 33, 42], Operations: []
Exploring Operation: 16*33=528, Resulting Numbers: [30, 42, 528]
Generated Node #2: [30, 42, 528] from Operation: 16*33=528
Current State: 44:[30, 42, 528], Operations: ['16*33=528']
Exploring Operation: 42-30=12, Resulting Numbers: [528, 12]
Generated Node #3: [528, 12] from Operation: 42-30=12
Current State: 44:[528, 12], Operations: ['16*33=528', '42-30=12']
Exploring Operation: 528/12=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
67,
30,
68,
48
] | 78 | [
"68-67=1",
"30+48=78",
"1*78=78"
] | Current State: 78:[67, 30, 68, 48], Operations: []
Exploring Operation: 68-67=1, Resulting Numbers: [30, 48, 1]
Generated Node #2: [30, 48, 1] from Operation: 68-67=1
Current State: 78:[30, 48, 1], Operations: ['68-67=1']
Exploring Operation: 30+48=78, Resulting Numbers: [1, 78]
Generated Node #3: [1, 78] from Operation: 30+48=78
Current State: 78:[1, 78], Operations: ['68-67=1', '30+48=78']
Exploring Operation: 1*78=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
5,
16,
2,
39
] | 65 | [
"5*2=10",
"16+39=55",
"10+55=65"
] | Current State: 65:[5, 16, 2, 39], Operations: []
Exploring Operation: 5*2=10, Resulting Numbers: [16, 39, 10]
Generated Node #2: [16, 39, 10] from Operation: 5*2=10
Current State: 65:[16, 39, 10], Operations: ['5*2=10']
Exploring Operation: 16+39=55, Resulting Numbers: [10, 55]
Generated Node #3: [10, 55] from Operation: 16+39=55
Current State: 65:[10, 55], Operations: ['5*2=10', '16+39=55']
Exploring Operation: 10+55=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
37,
77,
5,
17
] | 25 | [
"77-37=40",
"40/5=8",
"17+8=25"
] | Current State: 25:[37, 77, 5, 17], Operations: []
Exploring Operation: 77-37=40, Resulting Numbers: [5, 17, 40]
Generated Node #2: [5, 17, 40] from Operation: 77-37=40
Current State: 25:[5, 17, 40], Operations: ['77-37=40']
Exploring Operation: 40/5=8, Resulting Numbers: [17, 8]
Generated Node #3: [17, 8] from Operation: 40/5=8
Current State: 25:[17, 8], Operations: ['77-37=40', '40/5=8']
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
2,
46,
8,
34
] | 72 | [
"8-2=6",
"46-34=12",
"6*12=72"
] | Current State: 72:[2, 46, 8, 34], Operations: []
Exploring Operation: 8-2=6, Resulting Numbers: [46, 34, 6]
Generated Node #2: [46, 34, 6] from Operation: 8-2=6
Current State: 72:[46, 34, 6], Operations: ['8-2=6']
Exploring Operation: 46-34=12, Resulting Numbers: [6, 12]
Generated Node #3: [6, 12] from Operation: 46-34=12
Current State: 72:[6, 12], Operations: ['8-2=6', '46-34=12']
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
88,
22,
15,
29
] | 24 | [
"15+29=44",
"88/44=2",
"22+2=24"
] | Current State: 24:[88, 22, 15, 29], Operations: []
Exploring Operation: 15+29=44, Resulting Numbers: [88, 22, 44]
Generated Node #2: [88, 22, 44] from Operation: 15+29=44
Current State: 24:[88, 22, 44], Operations: ['15+29=44']
Exploring Operation: 88/44=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 88/44=2
Current State: 24:[22, 2], Operations: ['15+29=44', '88/44=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
23,
14,
79,
25
] | 86 | [
"25-23=2",
"14/2=7",
"79+7=86"
] | Current State: 86:[23, 14, 79, 25], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [14, 79, 2]
Generated Node #2: [14, 79, 2] from Operation: 25-23=2
Current State: 86:[14, 79, 2], Operations: ['25-23=2']
Exploring Operation: 14/2=7, Resulting Numbers: [79, 7]
Generated Node #3: [79, 7] from Operation: 14/2=7
Current State: 86:[79, 7], Operations: ['25-23=2', '14/2=7']
Exploring Operation: 79+7=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
21,
28,
4,
50
] | 62 | [
"21*4=84",
"50-28=22",
"84-22=62"
] | Current State: 62:[21, 28, 4, 50], Operations: []
Exploring Operation: 21*4=84, Resulting Numbers: [28, 50, 84]
Generated Node #2: [28, 50, 84] from Operation: 21*4=84
Current State: 62:[28, 50, 84], Operations: ['21*4=84']
Exploring Operation: 50-28=22, Resulting Numbers: [84, 22]
Generated Node #3: [84, 22] from Operation: 50-28=22
Current State: 62:[84, 22], Operations: ['21*4=84', '50-28=22']
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
38,
45,
81,
25
] | 35 | [
"38+25=63",
"45*63=2835",
"2835/81=35"
] | Current State: 35:[38, 45, 81, 25], Operations: []
Exploring Operation: 38+25=63, Resulting Numbers: [45, 81, 63]
Generated Node #2: [45, 81, 63] from Operation: 38+25=63
Current State: 35:[45, 81, 63], Operations: ['38+25=63']
Exploring Operation: 45*63=2835, Resulting Numbers: [81, 2835]
Generated Node #3: [81, 2835] from Operation: 45*63=2835
Current State: 35:[81, 2835], Operations: ['38+25=63', '45*63=2835']
Exploring Operation: 2835/81=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
42,
45,
49,
44
] | 90 | [
"45-42=3",
"49+44=93",
"93-3=90"
] | Current State: 90:[42, 45, 49, 44], Operations: []
Exploring Operation: 45-42=3, Resulting Numbers: [49, 44, 3]
Generated Node #2: [49, 44, 3] from Operation: 45-42=3
Current State: 90:[49, 44, 3], Operations: ['45-42=3']
Exploring Operation: 49+44=93, Resulting Numbers: [3, 93]
Generated Node #3: [3, 93] from Operation: 49+44=93
Current State: 90:[3, 93], Operations: ['45-42=3', '49+44=93']
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
9,
14,
19,
2
] | 61 | [
"9+14=23",
"19*2=38",
"23+38=61"
] | Current State: 61:[9, 14, 19, 2], Operations: []
Exploring Operation: 9+14=23, Resulting Numbers: [19, 2, 23]
Generated Node #2: [19, 2, 23] from Operation: 9+14=23
Current State: 61:[19, 2, 23], Operations: ['9+14=23']
Exploring Operation: 19*2=38, Resulting Numbers: [23, 38]
Generated Node #3: [23, 38] from Operation: 19*2=38
Current State: 61:[23, 38], Operations: ['9+14=23', '19*2=38']
Exploring Operation: 23+38=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
83,
28,
70,
21
] | 85 | [
"70-28=42",
"42/21=2",
"83+2=85"
] | Current State: 85:[83, 28, 70, 21], Operations: []
Exploring Operation: 70-28=42, Resulting Numbers: [83, 21, 42]
Generated Node #2: [83, 21, 42] from Operation: 70-28=42
Current State: 85:[83, 21, 42], Operations: ['70-28=42']
Exploring Operation: 42/21=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 42/21=2
Current State: 85:[83, 2], Operations: ['70-28=42', '42/21=2']
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
23,
68,
49,
19
] | 22 | [
"68-49=19",
"19/19=1",
"23-1=22"
] | Current State: 22:[23, 68, 49, 19], Operations: []
Exploring Operation: 68-49=19, Resulting Numbers: [23, 19, 19]
Generated Node #2: [23, 19, 19] from Operation: 68-49=19
Current State: 22:[23, 19, 19], Operations: ['68-49=19']
Exploring Operation: 19/19=1, Resulting Numbers: [23, 1]
Generated Node #3: [23, 1] from Operation: 19/19=1
Current State: 22:[23, 1], Operations: ['68-49=19', '19/19=1']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
5,
45,
94,
3
] | 34 | [
"5*3=15",
"94-45=49",
"49-15=34"
] | Current State: 34:[5, 45, 94, 3], Operations: []
Exploring Operation: 5*3=15, Resulting Numbers: [45, 94, 15]
Generated Node #2: [45, 94, 15] from Operation: 5*3=15
Current State: 34:[45, 94, 15], Operations: ['5*3=15']
Exploring Operation: 94-45=49, Resulting Numbers: [15, 49]
Generated Node #3: [15, 49] from Operation: 94-45=49
Current State: 34:[15, 49], Operations: ['5*3=15', '94-45=49']
Exploring Operation: 49-15=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
41,
66,
3,
44
] | 65 | [
"41+3=44",
"44/44=1",
"66-1=65"
] | Current State: 65:[41, 66, 3, 44], Operations: []
Exploring Operation: 41+3=44, Resulting Numbers: [66, 44, 44]
Generated Node #2: [66, 44, 44] from Operation: 41+3=44
Current State: 65:[66, 44, 44], Operations: ['41+3=44']
Exploring Operation: 44/44=1, Resulting Numbers: [66, 1]
Generated Node #3: [66, 1] from Operation: 44/44=1
Current State: 65:[66, 1], Operations: ['41+3=44', '44/44=1']
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
45,
37,
27,
15
] | 94 | [
"45+37=82",
"27-15=12",
"82+12=94"
] | Current State: 94:[45, 37, 27, 15], Operations: []
Exploring Operation: 45+37=82, Resulting Numbers: [27, 15, 82]
Generated Node #2: [27, 15, 82] from Operation: 45+37=82
Current State: 94:[27, 15, 82], Operations: ['45+37=82']
Exploring Operation: 27-15=12, Resulting Numbers: [82, 12]
Generated Node #3: [82, 12] from Operation: 27-15=12
Current State: 94:[82, 12], Operations: ['45+37=82', '27-15=12']
Exploring Operation: 82+12=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
60,
88,
73,
21
] | 96 | [
"60+88=148",
"73-21=52",
"148-52=96"
] | Current State: 96:[60, 88, 73, 21], Operations: []
Exploring Operation: 60+88=148, Resulting Numbers: [73, 21, 148]
Generated Node #2: [73, 21, 148] from Operation: 60+88=148
Current State: 96:[73, 21, 148], Operations: ['60+88=148']
Exploring Operation: 73-21=52, Resulting Numbers: [148, 52]
Generated Node #3: [148, 52] from Operation: 73-21=52
Current State: 96:[148, 52], Operations: ['60+88=148', '73-21=52']
Exploring Operation: 148-52=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
31,
72,
4,
87
] | 86 | [
"87-31=56",
"56/4=14",
"72+14=86"
] | Current State: 86:[31, 72, 4, 87], Operations: []
Exploring Operation: 87-31=56, Resulting Numbers: [72, 4, 56]
Generated Node #2: [72, 4, 56] from Operation: 87-31=56
Current State: 86:[72, 4, 56], Operations: ['87-31=56']
Exploring Operation: 56/4=14, Resulting Numbers: [72, 14]
Generated Node #3: [72, 14] from Operation: 56/4=14
Current State: 86:[72, 14], Operations: ['87-31=56', '56/4=14']
Exploring Operation: 72+14=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
52,
27,
2,
97
] | 20 | [
"52+27=79",
"2+97=99",
"99-79=20"
] | Current State: 20:[52, 27, 2, 97], Operations: []
Exploring Operation: 52+27=79, Resulting Numbers: [2, 97, 79]
Generated Node #2: [2, 97, 79] from Operation: 52+27=79
Current State: 20:[2, 97, 79], Operations: ['52+27=79']
Exploring Operation: 2+97=99, Resulting Numbers: [79, 99]
Generated Node #3: [79, 99] from Operation: 2+97=99
Current State: 20:[79, 99], Operations: ['52+27=79', '2+97=99']
Exploring Operation: 99-79=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
11,
94,
62,
44
] | 28 | [
"44/11=4",
"94-62=32",
"32-4=28"
] | Current State: 28:[11, 94, 62, 44], Operations: []
Exploring Operation: 44/11=4, Resulting Numbers: [94, 62, 4]
Generated Node #2: [94, 62, 4] from Operation: 44/11=4
Current State: 28:[94, 62, 4], Operations: ['44/11=4']
Exploring Operation: 94-62=32, Resulting Numbers: [4, 32]
Generated Node #3: [4, 32] from Operation: 94-62=32
Current State: 28:[4, 32], Operations: ['44/11=4', '94-62=32']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
22,
30,
30,
44
] | 66 | [
"22+30=52",
"44-30=14",
"52+14=66"
] | Current State: 66:[22, 30, 30, 44], Operations: []
Exploring Operation: 22+30=52, Resulting Numbers: [44, 52]
Generated Node #2: [44, 52] from Operation: 22+30=52
Current State: 66:[44, 52], Operations: ['22+30=52']
Exploring Operation: 44-30=14, Resulting Numbers: [52, 14]
Generated Node #3: [52, 14] from Operation: 44-30=14
Current State: 66:[52, 14], Operations: ['22+30=52', '44-30=14']
Exploring Operation: 52+14=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
4,
92,
5,
43
] | 11 | [
"92-5=87",
"87-43=44",
"44/4=11"
] | Current State: 11:[4, 92, 5, 43], Operations: []
Exploring Operation: 92-5=87, Resulting Numbers: [4, 43, 87]
Generated Node #2: [4, 43, 87] from Operation: 92-5=87
Current State: 11:[4, 43, 87], Operations: ['92-5=87']
Exploring Operation: 87-43=44, Resulting Numbers: [4, 44]
Generated Node #3: [4, 44] from Operation: 87-43=44
Current State: 11:[4, 44], Operations: ['92-5=87', '87-43=44']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
49,
62,
71,
2
] | 51 | [
"71-49=22",
"22/2=11",
"62-11=51"
] | Current State: 51:[49, 62, 71, 2], Operations: []
Exploring Operation: 71-49=22, Resulting Numbers: [62, 2, 22]
Generated Node #2: [62, 2, 22] from Operation: 71-49=22
Current State: 51:[62, 2, 22], Operations: ['71-49=22']
Exploring Operation: 22/2=11, Resulting Numbers: [62, 11]
Generated Node #3: [62, 11] from Operation: 22/2=11
Current State: 51:[62, 11], Operations: ['71-49=22', '22/2=11']
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
16,
22,
64,
14
] | 12 | [
"16+22=38",
"64-14=50",
"50-38=12"
] | Current State: 12:[16, 22, 64, 14], Operations: []
Exploring Operation: 16+22=38, Resulting Numbers: [64, 14, 38]
Generated Node #2: [64, 14, 38] from Operation: 16+22=38
Current State: 12:[64, 14, 38], Operations: ['16+22=38']
Exploring Operation: 64-14=50, Resulting Numbers: [38, 50]
Generated Node #3: [38, 50] from Operation: 64-14=50
Current State: 12:[38, 50], Operations: ['16+22=38', '64-14=50']
Exploring Operation: 50-38=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
49,
27,
49,
76
] | 48 | [
"49+27=76",
"76/76=1",
"49-1=48"
] | Current State: 48:[49, 27, 49, 76], Operations: []
Exploring Operation: 49+27=76, Resulting Numbers: [76, 76]
Generated Node #2: [76, 76] from Operation: 49+27=76
Current State: 48:[76, 76], Operations: ['49+27=76']
Exploring Operation: 76/76=1, Resulting Numbers: [1]
1,48 equal: Goal Reached
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
39,
63,
88,
27
] | 91 | [
"63-39=24",
"88+27=115",
"115-24=91"
] | Current State: 91:[39, 63, 88, 27], Operations: []
Exploring Operation: 63-39=24, Resulting Numbers: [88, 27, 24]
Generated Node #2: [88, 27, 24] from Operation: 63-39=24
Current State: 91:[88, 27, 24], Operations: ['63-39=24']
Exploring Operation: 88+27=115, Resulting Numbers: [24, 115]
Generated Node #3: [24, 115] from Operation: 88+27=115
Current State: 91:[24, 115], Operations: ['63-39=24', '88+27=115']
Exploring Operation: 115-24=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
20,
6,
19,
5
] | 69 | [
"20+6=26",
"19*5=95",
"95-26=69"
] | Current State: 69:[20, 6, 19, 5], Operations: []
Exploring Operation: 20+6=26, Resulting Numbers: [19, 5, 26]
Generated Node #2: [19, 5, 26] from Operation: 20+6=26
Current State: 69:[19, 5, 26], Operations: ['20+6=26']
Exploring Operation: 19*5=95, Resulting Numbers: [26, 95]
Generated Node #3: [26, 95] from Operation: 19*5=95
Current State: 69:[26, 95], Operations: ['20+6=26', '19*5=95']
Exploring Operation: 95-26=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
48,
83,
17,
21
] | 73 | [
"83-48=35",
"17+21=38",
"35+38=73"
] | Current State: 73:[48, 83, 17, 21], Operations: []
Exploring Operation: 83-48=35, Resulting Numbers: [17, 21, 35]
Generated Node #2: [17, 21, 35] from Operation: 83-48=35
Current State: 73:[17, 21, 35], Operations: ['83-48=35']
Exploring Operation: 17+21=38, Resulting Numbers: [35, 38]
Generated Node #3: [35, 38] from Operation: 17+21=38
Current State: 73:[35, 38], Operations: ['83-48=35', '17+21=38']
Exploring Operation: 35+38=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
27,
10,
43,
2
] | 12 | [
"27+10=37",
"43-37=6",
"2*6=12"
] | Current State: 12:[27, 10, 43, 2], Operations: []
Exploring Operation: 27+10=37, Resulting Numbers: [43, 2, 37]
Generated Node #2: [43, 2, 37] from Operation: 27+10=37
Current State: 12:[43, 2, 37], Operations: ['27+10=37']
Exploring Operation: 43-37=6, Resulting Numbers: [2, 6]
Generated Node #3: [2, 6] from Operation: 43-37=6
Current State: 12:[2, 6], Operations: ['27+10=37', '43-37=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
32,
24,
33,
55
] | 99 | [
"32*33=1056",
"1056/24=44",
"55+44=99"
] | Current State: 99:[32, 24, 33, 55], Operations: []
Exploring Operation: 32*33=1056, Resulting Numbers: [24, 55, 1056]
Generated Node #2: [24, 55, 1056] from Operation: 32*33=1056
Current State: 99:[24, 55, 1056], Operations: ['32*33=1056']
Exploring Operation: 1056/24=44, Resulting Numbers: [55, 44]
Generated Node #3: [55, 44] from Operation: 1056/24=44
Current State: 99:[55, 44], Operations: ['32*33=1056', '1056/24=44']
Exploring Operation: 55+44=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
94,
11,
81,
74
] | 90 | [
"94-11=83",
"81-74=7",
"83+7=90"
] | Current State: 90:[94, 11, 81, 74], Operations: []
Exploring Operation: 94-11=83, Resulting Numbers: [81, 74, 83]
Generated Node #2: [81, 74, 83] from Operation: 94-11=83
Current State: 90:[81, 74, 83], Operations: ['94-11=83']
Exploring Operation: 81-74=7, Resulting Numbers: [83, 7]
Generated Node #3: [83, 7] from Operation: 81-74=7
Current State: 90:[83, 7], Operations: ['94-11=83', '81-74=7']
Exploring Operation: 83+7=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
9,
60,
27,
85
] | 11 | [
"9+60=69",
"85-27=58",
"69-58=11"
] | Current State: 11:[9, 60, 27, 85], Operations: []
Exploring Operation: 9+60=69, Resulting Numbers: [27, 85, 69]
Generated Node #2: [27, 85, 69] from Operation: 9+60=69
Current State: 11:[27, 85, 69], Operations: ['9+60=69']
Exploring Operation: 85-27=58, Resulting Numbers: [69, 58]
Generated Node #3: [69, 58] from Operation: 85-27=58
Current State: 11:[69, 58], Operations: ['9+60=69', '85-27=58']
Exploring Operation: 69-58=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
23,
13,
58,
68
] | 26 | [
"23+13=36",
"68-58=10",
"36-10=26"
] | Current State: 26:[23, 13, 58, 68], Operations: []
Exploring Operation: 23+13=36, Resulting Numbers: [58, 68, 36]
Generated Node #2: [58, 68, 36] from Operation: 23+13=36
Current State: 26:[58, 68, 36], Operations: ['23+13=36']
Exploring Operation: 68-58=10, Resulting Numbers: [36, 10]
Generated Node #3: [36, 10] from Operation: 68-58=10
Current State: 26:[36, 10], Operations: ['23+13=36', '68-58=10']
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
24,
26,
94,
76
] | 36 | [
"26-24=2",
"94-76=18",
"2*18=36"
] | Current State: 36:[24, 26, 94, 76], Operations: []
Exploring Operation: 26-24=2, Resulting Numbers: [94, 76, 2]
Generated Node #2: [94, 76, 2] from Operation: 26-24=2
Current State: 36:[94, 76, 2], Operations: ['26-24=2']
Exploring Operation: 94-76=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 94-76=18
Current State: 36:[2, 18], Operations: ['26-24=2', '94-76=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
60,
2,
35,
85
] | 62 | [
"60-2=58",
"35+85=120",
"120-58=62"
] | Current State: 62:[60, 2, 35, 85], Operations: []
Exploring Operation: 60-2=58, Resulting Numbers: [35, 85, 58]
Generated Node #2: [35, 85, 58] from Operation: 60-2=58
Current State: 62:[35, 85, 58], Operations: ['60-2=58']
Exploring Operation: 35+85=120, Resulting Numbers: [58, 120]
Generated Node #3: [58, 120] from Operation: 35+85=120
Current State: 62:[58, 120], Operations: ['60-2=58', '35+85=120']
Exploring Operation: 120-58=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
80,
86,
72,
92
] | 80 | [
"86-80=6",
"72/6=12",
"92-12=80"
] | Current State: 80:[80, 86, 72, 92], Operations: []
Exploring Operation: 86-80=6, Resulting Numbers: [72, 92, 6]
Generated Node #2: [72, 92, 6] from Operation: 86-80=6
Current State: 80:[72, 92, 6], Operations: ['86-80=6']
Exploring Operation: 72/6=12, Resulting Numbers: [92, 12]
Generated Node #3: [92, 12] from Operation: 72/6=12
Current State: 80:[92, 12], Operations: ['86-80=6', '72/6=12']
Exploring Operation: 92-12=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
39,
76,
61,
90
] | 66 | [
"76-39=37",
"90-61=29",
"37+29=66"
] | Current State: 66:[39, 76, 61, 90], Operations: []
Exploring Operation: 76-39=37, Resulting Numbers: [61, 90, 37]
Generated Node #2: [61, 90, 37] from Operation: 76-39=37
Current State: 66:[61, 90, 37], Operations: ['76-39=37']
Exploring Operation: 90-61=29, Resulting Numbers: [37, 29]
Generated Node #3: [37, 29] from Operation: 90-61=29
Current State: 66:[37, 29], Operations: ['76-39=37', '90-61=29']
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
10,
29,
93,
64
] | 11 | [
"93-29=64",
"64/64=1",
"10+1=11"
] | Current State: 11:[10, 29, 93, 64], Operations: []
Exploring Operation: 93-29=64, Resulting Numbers: [10, 64, 64]
Generated Node #2: [10, 64, 64] from Operation: 93-29=64
Current State: 11:[10, 64, 64], Operations: ['93-29=64']
Exploring Operation: 64/64=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 64/64=1
Current State: 11:[10, 1], Operations: ['93-29=64', '64/64=1']
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
10,
82,
44,
38
] | 22 | [
"44-38=6",
"10*6=60",
"82-60=22"
] | Current State: 22:[10, 82, 44, 38], Operations: []
Exploring Operation: 44-38=6, Resulting Numbers: [10, 82, 6]
Generated Node #2: [10, 82, 6] from Operation: 44-38=6
Current State: 22:[10, 82, 6], Operations: ['44-38=6']
Exploring Operation: 10*6=60, Resulting Numbers: [82, 60]
Generated Node #3: [82, 60] from Operation: 10*6=60
Current State: 22:[82, 60], Operations: ['44-38=6', '10*6=60']
Exploring Operation: 82-60=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
94,
35,
57,
38
] | 86 | [
"94+35=129",
"38*129=4902",
"4902/57=86"
] | Current State: 86:[94, 35, 57, 38], Operations: []
Exploring Operation: 94+35=129, Resulting Numbers: [57, 38, 129]
Generated Node #2: [57, 38, 129] from Operation: 94+35=129
Current State: 86:[57, 38, 129], Operations: ['94+35=129']
Exploring Operation: 38*129=4902, Resulting Numbers: [57, 4902]
Generated Node #3: [57, 4902] from Operation: 38*129=4902
Current State: 86:[57, 4902], Operations: ['94+35=129', '38*129=4902']
Exploring Operation: 4902/57=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
3,
84,
38,
17
] | 66 | [
"3+84=87",
"38-17=21",
"87-21=66"
] | Current State: 66:[3, 84, 38, 17], Operations: []
Exploring Operation: 3+84=87, Resulting Numbers: [38, 17, 87]
Generated Node #2: [38, 17, 87] from Operation: 3+84=87
Current State: 66:[38, 17, 87], Operations: ['3+84=87']
Exploring Operation: 38-17=21, Resulting Numbers: [87, 21]
Generated Node #3: [87, 21] from Operation: 38-17=21
Current State: 66:[87, 21], Operations: ['3+84=87', '38-17=21']
Exploring Operation: 87-21=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
93,
4,
66,
17
] | 47 | [
"93-17=76",
"76/4=19",
"66-19=47"
] | Current State: 47:[93, 4, 66, 17], Operations: []
Exploring Operation: 93-17=76, Resulting Numbers: [4, 66, 76]
Generated Node #2: [4, 66, 76] from Operation: 93-17=76
Current State: 47:[4, 66, 76], Operations: ['93-17=76']
Exploring Operation: 76/4=19, Resulting Numbers: [66, 19]
Generated Node #3: [66, 19] from Operation: 76/4=19
Current State: 47:[66, 19], Operations: ['93-17=76', '76/4=19']
Exploring Operation: 66-19=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
2,
17,
1,
23
] | 41 | [
"2+17=19",
"23-1=22",
"19+22=41"
] | Current State: 41:[2, 17, 1, 23], Operations: []
Exploring Operation: 2+17=19, Resulting Numbers: [1, 23, 19]
Generated Node #2: [1, 23, 19] from Operation: 2+17=19
Current State: 41:[1, 23, 19], Operations: ['2+17=19']
Exploring Operation: 23-1=22, Resulting Numbers: [19, 22]
Generated Node #3: [19, 22] from Operation: 23-1=22
Current State: 41:[19, 22], Operations: ['2+17=19', '23-1=22']
Exploring Operation: 19+22=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
14,
11,
51,
47
] | 98 | [
"51-11=40",
"47-40=7",
"14*7=98"
] | Current State: 98:[14, 11, 51, 47], Operations: []
Exploring Operation: 51-11=40, Resulting Numbers: [14, 47, 40]
Generated Node #2: [14, 47, 40] from Operation: 51-11=40
Current State: 98:[14, 47, 40], Operations: ['51-11=40']
Exploring Operation: 47-40=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 47-40=7
Current State: 98:[14, 7], Operations: ['51-11=40', '47-40=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
79,
16,
67,
56
] | 97 | [
"67-56=11",
"16*11=176",
"176-79=97"
] | Current State: 97:[79, 16, 67, 56], Operations: []
Exploring Operation: 67-56=11, Resulting Numbers: [79, 16, 11]
Generated Node #2: [79, 16, 11] from Operation: 67-56=11
Current State: 97:[79, 16, 11], Operations: ['67-56=11']
Exploring Operation: 16*11=176, Resulting Numbers: [79, 176]
Generated Node #3: [79, 176] from Operation: 16*11=176
Current State: 97:[79, 176], Operations: ['67-56=11', '16*11=176']
Exploring Operation: 176-79=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
79,
76,
20,
95
] | 63 | [
"76*20=1520",
"1520/95=16",
"79-16=63"
] | Current State: 63:[79, 76, 20, 95], Operations: []
Exploring Operation: 76*20=1520, Resulting Numbers: [79, 95, 1520]
Generated Node #2: [79, 95, 1520] from Operation: 76*20=1520
Current State: 63:[79, 95, 1520], Operations: ['76*20=1520']
Exploring Operation: 1520/95=16, Resulting Numbers: [79, 16]
Generated Node #3: [79, 16] from Operation: 1520/95=16
Current State: 63:[79, 16], Operations: ['76*20=1520', '1520/95=16']
Exploring Operation: 79-16=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
4,
2,
63,
36
] | 93 | [
"4+2=6",
"63+36=99",
"99-6=93"
] | Current State: 93:[4, 2, 63, 36], Operations: []
Exploring Operation: 4+2=6, Resulting Numbers: [63, 36, 6]
Generated Node #2: [63, 36, 6] from Operation: 4+2=6
Current State: 93:[63, 36, 6], Operations: ['4+2=6']
Exploring Operation: 63+36=99, Resulting Numbers: [6, 99]
Generated Node #3: [6, 99] from Operation: 63+36=99
Current State: 93:[6, 99], Operations: ['4+2=6', '63+36=99']
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
10,
44,
6,
3
] | 56 | [
"10+44=54",
"6/3=2",
"54+2=56"
] | Current State: 56:[10, 44, 6, 3], Operations: []
Exploring Operation: 10+44=54, Resulting Numbers: [6, 3, 54]
Generated Node #2: [6, 3, 54] from Operation: 10+44=54
Current State: 56:[6, 3, 54], Operations: ['10+44=54']
Exploring Operation: 6/3=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 6/3=2
Current State: 56:[54, 2], Operations: ['10+44=54', '6/3=2']
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
51,
72,
49,
3
] | 42 | [
"72-51=21",
"21/3=7",
"49-7=42"
] | Current State: 42:[51, 72, 49, 3], Operations: []
Exploring Operation: 72-51=21, Resulting Numbers: [49, 3, 21]
Generated Node #2: [49, 3, 21] from Operation: 72-51=21
Current State: 42:[49, 3, 21], Operations: ['72-51=21']
Exploring Operation: 21/3=7, Resulting Numbers: [49, 7]
Generated Node #3: [49, 7] from Operation: 21/3=7
Current State: 42:[49, 7], Operations: ['72-51=21', '21/3=7']
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
85,
97,
80,
37
] | 42 | [
"97-80=17",
"85/17=5",
"37+5=42"
] | Current State: 42:[85, 97, 80, 37], Operations: []
Exploring Operation: 97-80=17, Resulting Numbers: [85, 37, 17]
Generated Node #2: [85, 37, 17] from Operation: 97-80=17
Current State: 42:[85, 37, 17], Operations: ['97-80=17']
Exploring Operation: 85/17=5, Resulting Numbers: [37, 5]
Generated Node #3: [37, 5] from Operation: 85/17=5
Current State: 42:[37, 5], Operations: ['97-80=17', '85/17=5']
Exploring Operation: 37+5=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
24,
1,
5,
7
] | 18 | [
"1+5=6",
"7*6=42",
"42-24=18"
] | Current State: 18:[24, 1, 5, 7], Operations: []
Exploring Operation: 1+5=6, Resulting Numbers: [24, 7, 6]
Generated Node #2: [24, 7, 6] from Operation: 1+5=6
Current State: 18:[24, 7, 6], Operations: ['1+5=6']
Exploring Operation: 7*6=42, Resulting Numbers: [24, 42]
Generated Node #3: [24, 42] from Operation: 7*6=42
Current State: 18:[24, 42], Operations: ['1+5=6', '7*6=42']
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
92,
14,
72,
84
] | 50 | [
"92+14=106",
"72+84=156",
"156-106=50"
] | Current State: 50:[92, 14, 72, 84], Operations: []
Exploring Operation: 92+14=106, Resulting Numbers: [72, 84, 106]
Generated Node #2: [72, 84, 106] from Operation: 92+14=106
Current State: 50:[72, 84, 106], Operations: ['92+14=106']
Exploring Operation: 72+84=156, Resulting Numbers: [106, 156]
Generated Node #3: [106, 156] from Operation: 72+84=156
Current State: 50:[106, 156], Operations: ['92+14=106', '72+84=156']
Exploring Operation: 156-106=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
13,
94,
59,
73
] | 95 | [
"94-13=81",
"73-59=14",
"81+14=95"
] | Current State: 95:[13, 94, 59, 73], Operations: []
Exploring Operation: 94-13=81, Resulting Numbers: [59, 73, 81]
Generated Node #2: [59, 73, 81] from Operation: 94-13=81
Current State: 95:[59, 73, 81], Operations: ['94-13=81']
Exploring Operation: 73-59=14, Resulting Numbers: [81, 14]
Generated Node #3: [81, 14] from Operation: 73-59=14
Current State: 95:[81, 14], Operations: ['94-13=81', '73-59=14']
Exploring Operation: 81+14=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
14,
68,
70,
92
] | 85 | [
"70-68=2",
"14/2=7",
"92-7=85"
] | Current State: 85:[14, 68, 70, 92], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [14, 92, 2]
Generated Node #2: [14, 92, 2] from Operation: 70-68=2
Current State: 85:[14, 92, 2], Operations: ['70-68=2']
Exploring Operation: 14/2=7, Resulting Numbers: [92, 7]
Generated Node #3: [92, 7] from Operation: 14/2=7
Current State: 85:[92, 7], Operations: ['70-68=2', '14/2=7']
Exploring Operation: 92-7=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
88,
26,
98,
67
] | 51 | [
"88+26=114",
"98+67=165",
"165-114=51"
] | Current State: 51:[88, 26, 98, 67], Operations: []
Exploring Operation: 88+26=114, Resulting Numbers: [98, 67, 114]
Generated Node #2: [98, 67, 114] from Operation: 88+26=114
Current State: 51:[98, 67, 114], Operations: ['88+26=114']
Exploring Operation: 98+67=165, Resulting Numbers: [114, 165]
Generated Node #3: [114, 165] from Operation: 98+67=165
Current State: 51:[114, 165], Operations: ['88+26=114', '98+67=165']
Exploring Operation: 165-114=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
54,
69,
42,
22
] | 79 | [
"69-54=15",
"42+22=64",
"15+64=79"
] | Current State: 79:[54, 69, 42, 22], Operations: []
Exploring Operation: 69-54=15, Resulting Numbers: [42, 22, 15]
Generated Node #2: [42, 22, 15] from Operation: 69-54=15
Current State: 79:[42, 22, 15], Operations: ['69-54=15']
Exploring Operation: 42+22=64, Resulting Numbers: [15, 64]
Generated Node #3: [15, 64] from Operation: 42+22=64
Current State: 79:[15, 64], Operations: ['69-54=15', '42+22=64']
Exploring Operation: 15+64=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
56,
29,
20,
28
] | 39 | [
"56/28=2",
"20/2=10",
"29+10=39"
] | Current State: 39:[56, 29, 20, 28], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [29, 20, 2]
Generated Node #2: [29, 20, 2] from Operation: 56/28=2
Current State: 39:[29, 20, 2], Operations: ['56/28=2']
Exploring Operation: 20/2=10, Resulting Numbers: [29, 10]
Generated Node #3: [29, 10] from Operation: 20/2=10
Current State: 39:[29, 10], Operations: ['56/28=2', '20/2=10']
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
12,
37,
60,
2
] | 43 | [
"12-2=10",
"60/10=6",
"37+6=43"
] | Current State: 43:[12, 37, 60, 2], Operations: []
Exploring Operation: 12-2=10, Resulting Numbers: [37, 60, 10]
Generated Node #2: [37, 60, 10] from Operation: 12-2=10
Current State: 43:[37, 60, 10], Operations: ['12-2=10']
Exploring Operation: 60/10=6, Resulting Numbers: [37, 6]
Generated Node #3: [37, 6] from Operation: 60/10=6
Current State: 43:[37, 6], Operations: ['12-2=10', '60/10=6']
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
28,
9,
45,
30
] | 56 | [
"28-9=19",
"45+30=75",
"75-19=56"
] | Current State: 56:[28, 9, 45, 30], Operations: []
Exploring Operation: 28-9=19, Resulting Numbers: [45, 30, 19]
Generated Node #2: [45, 30, 19] from Operation: 28-9=19
Current State: 56:[45, 30, 19], Operations: ['28-9=19']
Exploring Operation: 45+30=75, Resulting Numbers: [19, 75]
Generated Node #3: [19, 75] from Operation: 45+30=75
Current State: 56:[19, 75], Operations: ['28-9=19', '45+30=75']
Exploring Operation: 75-19=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
90,
97,
7,
53
] | 67 | [
"97-90=7",
"7+53=60",
"7+60=67"
] | Current State: 67:[90, 97, 7, 53], Operations: []
Exploring Operation: 97-90=7, Resulting Numbers: [7, 53, 7]
Generated Node #2: [7, 53, 7] from Operation: 97-90=7
Current State: 67:[7, 53, 7], Operations: ['97-90=7']
Exploring Operation: 7+53=60, Resulting Numbers: [60]
60,67 equal: Goal Reached
Exploring Operation: 7+60=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
23,
8,
45,
33
] | 27 | [
"23-8=15",
"45-33=12",
"15+12=27"
] | Current State: 27:[23, 8, 45, 33], Operations: []
Exploring Operation: 23-8=15, Resulting Numbers: [45, 33, 15]
Generated Node #2: [45, 33, 15] from Operation: 23-8=15
Current State: 27:[45, 33, 15], Operations: ['23-8=15']
Exploring Operation: 45-33=12, Resulting Numbers: [15, 12]
Generated Node #3: [15, 12] from Operation: 45-33=12
Current State: 27:[15, 12], Operations: ['23-8=15', '45-33=12']
Exploring Operation: 15+12=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
38,
86,
67,
2
] | 86 | [
"86-38=48",
"67*2=134",
"134-48=86"
] | Current State: 86:[38, 86, 67, 2], Operations: []
Exploring Operation: 86-38=48, Resulting Numbers: [67, 2, 48]
Generated Node #2: [67, 2, 48] from Operation: 86-38=48
Current State: 86:[67, 2, 48], Operations: ['86-38=48']
Exploring Operation: 67*2=134, Resulting Numbers: [48, 134]
Generated Node #3: [48, 134] from Operation: 67*2=134
Current State: 86:[48, 134], Operations: ['86-38=48', '67*2=134']
Exploring Operation: 134-48=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
52,
12,
88,
50
] | 32 | [
"52-50=2",
"88/2=44",
"44-12=32"
] | Current State: 32:[52, 12, 88, 50], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [12, 88, 2]
Generated Node #2: [12, 88, 2] from Operation: 52-50=2
Current State: 32:[12, 88, 2], Operations: ['52-50=2']
Exploring Operation: 88/2=44, Resulting Numbers: [12, 44]
Generated Node #3: [12, 44] from Operation: 88/2=44
Current State: 32:[12, 44], Operations: ['52-50=2', '88/2=44']
Exploring Operation: 44-12=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
68,
61,
2,
78
] | 90 | [
"68+61=129",
"78/2=39",
"129-39=90"
] | Current State: 90:[68, 61, 2, 78], Operations: []
Exploring Operation: 68+61=129, Resulting Numbers: [2, 78, 129]
Generated Node #2: [2, 78, 129] from Operation: 68+61=129
Current State: 90:[2, 78, 129], Operations: ['68+61=129']
Exploring Operation: 78/2=39, Resulting Numbers: [129, 39]
Generated Node #3: [129, 39] from Operation: 78/2=39
Current State: 90:[129, 39], Operations: ['68+61=129', '78/2=39']
Exploring Operation: 129-39=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
36,
3,
75,
4
] | 54 | [
"75-3=72",
"72/4=18",
"36+18=54"
] | Current State: 54:[36, 3, 75, 4], Operations: []
Exploring Operation: 75-3=72, Resulting Numbers: [36, 4, 72]
Generated Node #2: [36, 4, 72] from Operation: 75-3=72
Current State: 54:[36, 4, 72], Operations: ['75-3=72']
Exploring Operation: 72/4=18, Resulting Numbers: [36, 18]
Generated Node #3: [36, 18] from Operation: 72/4=18
Current State: 54:[36, 18], Operations: ['75-3=72', '72/4=18']
Exploring Operation: 36+18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
41,
44,
36,
55
] | 22 | [
"44-41=3",
"55-36=19",
"3+19=22"
] | Current State: 22:[41, 44, 36, 55], Operations: []
Exploring Operation: 44-41=3, Resulting Numbers: [36, 55, 3]
Generated Node #2: [36, 55, 3] from Operation: 44-41=3
Current State: 22:[36, 55, 3], Operations: ['44-41=3']
Exploring Operation: 55-36=19, Resulting Numbers: [3, 19]
Generated Node #3: [3, 19] from Operation: 55-36=19
Current State: 22:[3, 19], Operations: ['44-41=3', '55-36=19']
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
63,
18,
69,
97
] | 45 | [
"63*69=4347",
"18+4347=4365",
"4365/97=45"
] | Current State: 45:[63, 18, 69, 97], Operations: []
Exploring Operation: 63*69=4347, Resulting Numbers: [18, 97, 4347]
Generated Node #2: [18, 97, 4347] from Operation: 63*69=4347
Current State: 45:[18, 97, 4347], Operations: ['63*69=4347']
Exploring Operation: 18+4347=4365, Resulting Numbers: [97, 4365]
Generated Node #3: [97, 4365] from Operation: 18+4347=4365
Current State: 45:[97, 4365], Operations: ['63*69=4347', '18+4347=4365']
Exploring Operation: 4365/97=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
58,
10,
5,
25
] | 98 | [
"58+10=68",
"5+25=30",
"68+30=98"
] | Current State: 98:[58, 10, 5, 25], Operations: []
Exploring Operation: 58+10=68, Resulting Numbers: [5, 25, 68]
Generated Node #2: [5, 25, 68] from Operation: 58+10=68
Current State: 98:[5, 25, 68], Operations: ['58+10=68']
Exploring Operation: 5+25=30, Resulting Numbers: [68, 30]
Generated Node #3: [68, 30] from Operation: 5+25=30
Current State: 98:[68, 30], Operations: ['58+10=68', '5+25=30']
Exploring Operation: 68+30=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
76,
30,
6,
17
] | 57 | [
"76-30=46",
"17-6=11",
"46+11=57"
] | Current State: 57:[76, 30, 6, 17], Operations: []
Exploring Operation: 76-30=46, Resulting Numbers: [6, 17, 46]
Generated Node #2: [6, 17, 46] from Operation: 76-30=46
Current State: 57:[6, 17, 46], Operations: ['76-30=46']
Exploring Operation: 17-6=11, Resulting Numbers: [46, 11]
Generated Node #3: [46, 11] from Operation: 17-6=11
Current State: 57:[46, 11], Operations: ['76-30=46', '17-6=11']
Exploring Operation: 46+11=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
66,
47,
64,
95
] | 59 | [
"66-47=19",
"95/19=5",
"64-5=59"
] | Current State: 59:[66, 47, 64, 95], Operations: []
Exploring Operation: 66-47=19, Resulting Numbers: [64, 95, 19]
Generated Node #2: [64, 95, 19] from Operation: 66-47=19
Current State: 59:[64, 95, 19], Operations: ['66-47=19']
Exploring Operation: 95/19=5, Resulting Numbers: [64, 5]
Generated Node #3: [64, 5] from Operation: 95/19=5
Current State: 59:[64, 5], Operations: ['66-47=19', '95/19=5']
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
75,
95,
96,
20
] | 54 | [
"75+95=170",
"96+20=116",
"170-116=54"
] | Current State: 54:[75, 95, 96, 20], Operations: []
Exploring Operation: 75+95=170, Resulting Numbers: [96, 20, 170]
Generated Node #2: [96, 20, 170] from Operation: 75+95=170
Current State: 54:[96, 20, 170], Operations: ['75+95=170']
Exploring Operation: 96+20=116, Resulting Numbers: [170, 116]
Generated Node #3: [170, 116] from Operation: 96+20=116
Current State: 54:[170, 116], Operations: ['75+95=170', '96+20=116']
Exploring Operation: 170-116=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
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