nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
18,
13,
67,
90
] | 77 | [
"18*13=234",
"67+90=157",
"234-157=77"
] | Current State: 77:[18, 13, 67, 90], Operations: []
Exploring Operation: 18*13=234, Resulting Numbers: [67, 90, 234]
Generated Node #2: [67, 90, 234] from Operation: 18*13=234
Current State: 77:[67, 90, 234], Operations: ['18*13=234']
Exploring Operation: 67+90=157, Resulting Numbers: [234, 157]
Generated Node #3: [234, 157] from Operation: 67+90=157
Current State: 77:[234, 157], Operations: ['18*13=234', '67+90=157']
Exploring Operation: 234-157=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
17,
32,
82,
30
] | 58 | [
"32-30=2",
"82/2=41",
"17+41=58"
] | Current State: 58:[17, 32, 82, 30], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [17, 82, 2]
Generated Node #2: [17, 82, 2] from Operation: 32-30=2
Current State: 58:[17, 82, 2], Operations: ['32-30=2']
Exploring Operation: 82/2=41, Resulting Numbers: [17, 41]
Generated Node #3: [17, 41] from Operation: 82/2=41
Current State: 58:[17, 41], Operations: ['32-30=2', '82/2=41']
Exploring Operation: 17+41=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
34,
15,
44,
28
] | 46 | [
"34-28=6",
"15*6=90",
"90-44=46"
] | Current State: 46:[34, 15, 44, 28], Operations: []
Exploring Operation: 34-28=6, Resulting Numbers: [15, 44, 6]
Generated Node #2: [15, 44, 6] from Operation: 34-28=6
Current State: 46:[15, 44, 6], Operations: ['34-28=6']
Exploring Operation: 15*6=90, Resulting Numbers: [44, 90]
Generated Node #3: [44, 90] from Operation: 15*6=90
Current State: 46:[44, 90], Operations: ['34-28=6', '15*6=90']
Exploring Operation: 90-44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
91,
46,
55,
51
] | 61 | [
"91-46=45",
"55+51=106",
"106-45=61"
] | Current State: 61:[91, 46, 55, 51], Operations: []
Exploring Operation: 91-46=45, Resulting Numbers: [55, 51, 45]
Generated Node #2: [55, 51, 45] from Operation: 91-46=45
Current State: 61:[55, 51, 45], Operations: ['91-46=45']
Exploring Operation: 55+51=106, Resulting Numbers: [45, 106]
Generated Node #3: [45, 106] from Operation: 55+51=106
Current State: 61:[45, 106], Operations: ['91-46=45', '55+51=106']
Exploring Operation: 106-45=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
5,
11,
20,
42
] | 46 | [
"5+11=16",
"20+42=62",
"62-16=46"
] | Current State: 46:[5, 11, 20, 42], Operations: []
Exploring Operation: 5+11=16, Resulting Numbers: [20, 42, 16]
Generated Node #2: [20, 42, 16] from Operation: 5+11=16
Current State: 46:[20, 42, 16], Operations: ['5+11=16']
Exploring Operation: 20+42=62, Resulting Numbers: [16, 62]
Generated Node #3: [16, 62] from Operation: 20+42=62
Current State: 46:[16, 62], Operations: ['5+11=16', '20+42=62']
Exploring Operation: 62-16=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
45,
19,
19,
26
] | 57 | [
"45+19=64",
"26-19=7",
"64-7=57"
] | Current State: 57:[45, 19, 19, 26], Operations: []
Exploring Operation: 45+19=64, Resulting Numbers: [26, 64]
Generated Node #2: [26, 64] from Operation: 45+19=64
Current State: 57:[26, 64], Operations: ['45+19=64']
Exploring Operation: 26-19=7, Resulting Numbers: [64, 7]
Generated Node #3: [64, 7] from Operation: 26-19=7
Current State: 57:[64, 7], Operations: ['45+19=64', '26-19=7']
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
1,
3,
48,
13
] | 74 | [
"3-1=2",
"13*2=26",
"48+26=74"
] | Current State: 74:[1, 3, 48, 13], Operations: []
Exploring Operation: 3-1=2, Resulting Numbers: [48, 13, 2]
Generated Node #2: [48, 13, 2] from Operation: 3-1=2
Current State: 74:[48, 13, 2], Operations: ['3-1=2']
Exploring Operation: 13*2=26, Resulting Numbers: [48, 26]
Generated Node #3: [48, 26] from Operation: 13*2=26
Current State: 74:[48, 26], Operations: ['3-1=2', '13*2=26']
Exploring Operation: 48+26=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
9,
97,
16,
20
] | 70 | [
"9+97=106",
"16+20=36",
"106-36=70"
] | Current State: 70:[9, 97, 16, 20], Operations: []
Exploring Operation: 9+97=106, Resulting Numbers: [16, 20, 106]
Generated Node #2: [16, 20, 106] from Operation: 9+97=106
Current State: 70:[16, 20, 106], Operations: ['9+97=106']
Exploring Operation: 16+20=36, Resulting Numbers: [106, 36]
Generated Node #3: [106, 36] from Operation: 16+20=36
Current State: 70:[106, 36], Operations: ['9+97=106', '16+20=36']
Exploring Operation: 106-36=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
85,
3,
5,
68
] | 66 | [
"85+5=90",
"90-68=22",
"3*22=66"
] | Current State: 66:[85, 3, 5, 68], Operations: []
Exploring Operation: 85+5=90, Resulting Numbers: [3, 68, 90]
Generated Node #2: [3, 68, 90] from Operation: 85+5=90
Current State: 66:[3, 68, 90], Operations: ['85+5=90']
Exploring Operation: 90-68=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 90-68=22
Current State: 66:[3, 22], Operations: ['85+5=90', '90-68=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
85,
10,
52,
54
] | 77 | [
"85-10=75",
"54-52=2",
"75+2=77"
] | Current State: 77:[85, 10, 52, 54], Operations: []
Exploring Operation: 85-10=75, Resulting Numbers: [52, 54, 75]
Generated Node #2: [52, 54, 75] from Operation: 85-10=75
Current State: 77:[52, 54, 75], Operations: ['85-10=75']
Exploring Operation: 54-52=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 54-52=2
Current State: 77:[75, 2], Operations: ['85-10=75', '54-52=2']
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
9,
54,
44,
94
] | 36 | [
"54+44=98",
"98-94=4",
"9*4=36"
] | Current State: 36:[9, 54, 44, 94], Operations: []
Exploring Operation: 54+44=98, Resulting Numbers: [9, 94, 98]
Generated Node #2: [9, 94, 98] from Operation: 54+44=98
Current State: 36:[9, 94, 98], Operations: ['54+44=98']
Exploring Operation: 98-94=4, Resulting Numbers: [9, 4]
Generated Node #3: [9, 4] from Operation: 98-94=4
Current State: 36:[9, 4], Operations: ['54+44=98', '98-94=4']
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
27,
75,
37,
74
] | 65 | [
"27+75=102",
"74-37=37",
"102-37=65"
] | Current State: 65:[27, 75, 37, 74], Operations: []
Exploring Operation: 27+75=102, Resulting Numbers: [37, 74, 102]
Generated Node #2: [37, 74, 102] from Operation: 27+75=102
Current State: 65:[37, 74, 102], Operations: ['27+75=102']
Exploring Operation: 74-37=37, Resulting Numbers: [102, 37]
Generated Node #3: [102, 37] from Operation: 74-37=37
Current State: 65:[102, 37], Operations: ['27+75=102', '74-37=37']
Exploring Operation: 102-37=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
5,
6,
19,
8
] | 73 | [
"19-6=13",
"5*13=65",
"8+65=73"
] | Current State: 73:[5, 6, 19, 8], Operations: []
Exploring Operation: 19-6=13, Resulting Numbers: [5, 8, 13]
Generated Node #2: [5, 8, 13] from Operation: 19-6=13
Current State: 73:[5, 8, 13], Operations: ['19-6=13']
Exploring Operation: 5*13=65, Resulting Numbers: [8, 65]
Generated Node #3: [8, 65] from Operation: 5*13=65
Current State: 73:[8, 65], Operations: ['19-6=13', '5*13=65']
Exploring Operation: 8+65=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
40,
26,
50,
85
] | 42 | [
"40*85=3400",
"3400/50=68",
"68-26=42"
] | Current State: 42:[40, 26, 50, 85], Operations: []
Exploring Operation: 40*85=3400, Resulting Numbers: [26, 50, 3400]
Generated Node #2: [26, 50, 3400] from Operation: 40*85=3400
Current State: 42:[26, 50, 3400], Operations: ['40*85=3400']
Exploring Operation: 3400/50=68, Resulting Numbers: [26, 68]
Generated Node #3: [26, 68] from Operation: 3400/50=68
Current State: 42:[26, 68], Operations: ['40*85=3400', '3400/50=68']
Exploring Operation: 68-26=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
53,
31,
49,
71
] | 46 | [
"31*71=2201",
"53+2201=2254",
"2254/49=46"
] | Current State: 46:[53, 31, 49, 71], Operations: []
Exploring Operation: 31*71=2201, Resulting Numbers: [53, 49, 2201]
Generated Node #2: [53, 49, 2201] from Operation: 31*71=2201
Current State: 46:[53, 49, 2201], Operations: ['31*71=2201']
Exploring Operation: 53+2201=2254, Resulting Numbers: [49, 2254]
Generated Node #3: [49, 2254] from Operation: 53+2201=2254
Current State: 46:[49, 2254], Operations: ['31*71=2201', '53+2201=2254']
Exploring Operation: 2254/49=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
61,
44,
47,
68
] | 38 | [
"61-44=17",
"68-47=21",
"17+21=38"
] | Current State: 38:[61, 44, 47, 68], Operations: []
Exploring Operation: 61-44=17, Resulting Numbers: [47, 68, 17]
Generated Node #2: [47, 68, 17] from Operation: 61-44=17
Current State: 38:[47, 68, 17], Operations: ['61-44=17']
Exploring Operation: 68-47=21, Resulting Numbers: [17, 21]
Generated Node #3: [17, 21] from Operation: 68-47=21
Current State: 38:[17, 21], Operations: ['61-44=17', '68-47=21']
Exploring Operation: 17+21=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
73,
96,
83,
15
] | 71 | [
"73+96=169",
"83+15=98",
"169-98=71"
] | Current State: 71:[73, 96, 83, 15], Operations: []
Exploring Operation: 73+96=169, Resulting Numbers: [83, 15, 169]
Generated Node #2: [83, 15, 169] from Operation: 73+96=169
Current State: 71:[83, 15, 169], Operations: ['73+96=169']
Exploring Operation: 83+15=98, Resulting Numbers: [169, 98]
Generated Node #3: [169, 98] from Operation: 83+15=98
Current State: 71:[169, 98], Operations: ['73+96=169', '83+15=98']
Exploring Operation: 169-98=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
24,
63,
93,
13
] | 78 | [
"24+63=87",
"93-87=6",
"13*6=78"
] | Current State: 78:[24, 63, 93, 13], Operations: []
Exploring Operation: 24+63=87, Resulting Numbers: [93, 13, 87]
Generated Node #2: [93, 13, 87] from Operation: 24+63=87
Current State: 78:[93, 13, 87], Operations: ['24+63=87']
Exploring Operation: 93-87=6, Resulting Numbers: [13, 6]
Generated Node #3: [13, 6] from Operation: 93-87=6
Current State: 78:[13, 6], Operations: ['24+63=87', '93-87=6']
Exploring Operation: 13*6=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
44,
64,
87,
26
] | 47 | [
"44+64=108",
"87-26=61",
"108-61=47"
] | Current State: 47:[44, 64, 87, 26], Operations: []
Exploring Operation: 44+64=108, Resulting Numbers: [87, 26, 108]
Generated Node #2: [87, 26, 108] from Operation: 44+64=108
Current State: 47:[87, 26, 108], Operations: ['44+64=108']
Exploring Operation: 87-26=61, Resulting Numbers: [108, 61]
Generated Node #3: [108, 61] from Operation: 87-26=61
Current State: 47:[108, 61], Operations: ['44+64=108', '87-26=61']
Exploring Operation: 108-61=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
73,
13,
58,
97
] | 76 | [
"97-58=39",
"39/13=3",
"73+3=76"
] | Current State: 76:[73, 13, 58, 97], Operations: []
Exploring Operation: 97-58=39, Resulting Numbers: [73, 13, 39]
Generated Node #2: [73, 13, 39] from Operation: 97-58=39
Current State: 76:[73, 13, 39], Operations: ['97-58=39']
Exploring Operation: 39/13=3, Resulting Numbers: [73, 3]
Generated Node #3: [73, 3] from Operation: 39/13=3
Current State: 76:[73, 3], Operations: ['97-58=39', '39/13=3']
Exploring Operation: 73+3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
12,
89,
96,
99
] | 48 | [
"12+89=101",
"101-99=2",
"96/2=48"
] | Current State: 48:[12, 89, 96, 99], Operations: []
Exploring Operation: 12+89=101, Resulting Numbers: [96, 99, 101]
Generated Node #2: [96, 99, 101] from Operation: 12+89=101
Current State: 48:[96, 99, 101], Operations: ['12+89=101']
Exploring Operation: 101-99=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 101-99=2
Current State: 48:[96, 2], Operations: ['12+89=101', '101-99=2']
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
1,
71,
74,
43
] | 46 | [
"1*71=71",
"74+43=117",
"117-71=46"
] | Current State: 46:[1, 71, 74, 43], Operations: []
Exploring Operation: 1*71=71, Resulting Numbers: [74, 43, 71]
Generated Node #2: [74, 43, 71] from Operation: 1*71=71
Current State: 46:[74, 43, 71], Operations: ['1*71=71']
Exploring Operation: 74+43=117, Resulting Numbers: [71, 117]
Generated Node #3: [71, 117] from Operation: 74+43=117
Current State: 46:[71, 117], Operations: ['1*71=71', '74+43=117']
Exploring Operation: 117-71=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
34,
15,
20,
12
] | 11 | [
"34-15=19",
"20-12=8",
"19-8=11"
] | Current State: 11:[34, 15, 20, 12], Operations: []
Exploring Operation: 34-15=19, Resulting Numbers: [20, 12, 19]
Generated Node #2: [20, 12, 19] from Operation: 34-15=19
Current State: 11:[20, 12, 19], Operations: ['34-15=19']
Exploring Operation: 20-12=8, Resulting Numbers: [19, 8]
Generated Node #3: [19, 8] from Operation: 20-12=8
Current State: 11:[19, 8], Operations: ['34-15=19', '20-12=8']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
85,
62,
18,
2
] | 72 | [
"85+18=103",
"62/2=31",
"103-31=72"
] | Current State: 72:[85, 62, 18, 2], Operations: []
Exploring Operation: 85+18=103, Resulting Numbers: [62, 2, 103]
Generated Node #2: [62, 2, 103] from Operation: 85+18=103
Current State: 72:[62, 2, 103], Operations: ['85+18=103']
Exploring Operation: 62/2=31, Resulting Numbers: [103, 31]
Generated Node #3: [103, 31] from Operation: 62/2=31
Current State: 72:[103, 31], Operations: ['85+18=103', '62/2=31']
Exploring Operation: 103-31=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
4,
19,
44,
37
] | 67 | [
"44/4=11",
"19+37=56",
"11+56=67"
] | Current State: 67:[4, 19, 44, 37], Operations: []
Exploring Operation: 44/4=11, Resulting Numbers: [19, 37, 11]
Generated Node #2: [19, 37, 11] from Operation: 44/4=11
Current State: 67:[19, 37, 11], Operations: ['44/4=11']
Exploring Operation: 19+37=56, Resulting Numbers: [11, 56]
Generated Node #3: [11, 56] from Operation: 19+37=56
Current State: 67:[11, 56], Operations: ['44/4=11', '19+37=56']
Exploring Operation: 11+56=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
47,
67,
56,
73
] | 54 | [
"56-47=9",
"73-67=6",
"9*6=54"
] | Current State: 54:[47, 67, 56, 73], Operations: []
Exploring Operation: 56-47=9, Resulting Numbers: [67, 73, 9]
Generated Node #2: [67, 73, 9] from Operation: 56-47=9
Current State: 54:[67, 73, 9], Operations: ['56-47=9']
Exploring Operation: 73-67=6, Resulting Numbers: [9, 6]
Generated Node #3: [9, 6] from Operation: 73-67=6
Current State: 54:[9, 6], Operations: ['56-47=9', '73-67=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
95,
92,
93,
56
] | 39 | [
"95-56=39",
"93-92=1",
"39*1=39"
] | Current State: 39:[95, 92, 93, 56], Operations: []
Exploring Operation: 95-56=39, Resulting Numbers: [92, 93, 39]
Generated Node #2: [92, 93, 39] from Operation: 95-56=39
Current State: 39:[92, 93, 39], Operations: ['95-56=39']
Exploring Operation: 93-92=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 93-92=1
Current State: 39:[39, 1], Operations: ['95-56=39', '93-92=1']
Exploring Operation: 39*1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
2,
36,
38,
15
] | 71 | [
"36/2=18",
"38+15=53",
"18+53=71"
] | Current State: 71:[2, 36, 38, 15], Operations: []
Exploring Operation: 36/2=18, Resulting Numbers: [38, 15, 18]
Generated Node #2: [38, 15, 18] from Operation: 36/2=18
Current State: 71:[38, 15, 18], Operations: ['36/2=18']
Exploring Operation: 38+15=53, Resulting Numbers: [18, 53]
Generated Node #3: [18, 53] from Operation: 38+15=53
Current State: 71:[18, 53], Operations: ['36/2=18', '38+15=53']
Exploring Operation: 18+53=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
8,
65,
3,
4
] | 29 | [
"8+4=12",
"3*12=36",
"65-36=29"
] | Current State: 29:[8, 65, 3, 4], Operations: []
Exploring Operation: 8+4=12, Resulting Numbers: [65, 3, 12]
Generated Node #2: [65, 3, 12] from Operation: 8+4=12
Current State: 29:[65, 3, 12], Operations: ['8+4=12']
Exploring Operation: 3*12=36, Resulting Numbers: [65, 36]
Generated Node #3: [65, 36] from Operation: 3*12=36
Current State: 29:[65, 36], Operations: ['8+4=12', '3*12=36']
Exploring Operation: 65-36=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
64,
84,
70,
42
] | 91 | [
"70-64=6",
"42/6=7",
"84+7=91"
] | Current State: 91:[64, 84, 70, 42], Operations: []
Exploring Operation: 70-64=6, Resulting Numbers: [84, 42, 6]
Generated Node #2: [84, 42, 6] from Operation: 70-64=6
Current State: 91:[84, 42, 6], Operations: ['70-64=6']
Exploring Operation: 42/6=7, Resulting Numbers: [84, 7]
Generated Node #3: [84, 7] from Operation: 42/6=7
Current State: 91:[84, 7], Operations: ['70-64=6', '42/6=7']
Exploring Operation: 84+7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
72,
96,
23,
11
] | 80 | [
"23-11=12",
"96/12=8",
"72+8=80"
] | Current State: 80:[72, 96, 23, 11], Operations: []
Exploring Operation: 23-11=12, Resulting Numbers: [72, 96, 12]
Generated Node #2: [72, 96, 12] from Operation: 23-11=12
Current State: 80:[72, 96, 12], Operations: ['23-11=12']
Exploring Operation: 96/12=8, Resulting Numbers: [72, 8]
Generated Node #3: [72, 8] from Operation: 96/12=8
Current State: 80:[72, 8], Operations: ['23-11=12', '96/12=8']
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
49,
8,
46,
46
] | 40 | [
"49-8=41",
"46/46=1",
"41-1=40"
] | Current State: 40:[49, 8, 46, 46], Operations: []
Exploring Operation: 49-8=41, Resulting Numbers: [46, 46, 41]
Generated Node #2: [46, 46, 41] from Operation: 49-8=41
Current State: 40:[46, 46, 41], Operations: ['49-8=41']
Exploring Operation: 46/46=1, Resulting Numbers: [41, 1]
Generated Node #3: [41, 1] from Operation: 46/46=1
Current State: 40:[41, 1], Operations: ['49-8=41', '46/46=1']
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
52,
69,
19,
10
] | 26 | [
"69-52=17",
"19-10=9",
"17+9=26"
] | Current State: 26:[52, 69, 19, 10], Operations: []
Exploring Operation: 69-52=17, Resulting Numbers: [19, 10, 17]
Generated Node #2: [19, 10, 17] from Operation: 69-52=17
Current State: 26:[19, 10, 17], Operations: ['69-52=17']
Exploring Operation: 19-10=9, Resulting Numbers: [17, 9]
Generated Node #3: [17, 9] from Operation: 19-10=9
Current State: 26:[17, 9], Operations: ['69-52=17', '19-10=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
53,
61,
60,
50
] | 18 | [
"61-53=8",
"60-50=10",
"8+10=18"
] | Current State: 18:[53, 61, 60, 50], Operations: []
Exploring Operation: 61-53=8, Resulting Numbers: [60, 50, 8]
Generated Node #2: [60, 50, 8] from Operation: 61-53=8
Current State: 18:[60, 50, 8], Operations: ['61-53=8']
Exploring Operation: 60-50=10, Resulting Numbers: [8, 10]
Generated Node #3: [8, 10] from Operation: 60-50=10
Current State: 18:[8, 10], Operations: ['61-53=8', '60-50=10']
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
19,
22,
58,
30
] | 47 | [
"19+22=41",
"58+30=88",
"88-41=47"
] | Current State: 47:[19, 22, 58, 30], Operations: []
Exploring Operation: 19+22=41, Resulting Numbers: [58, 30, 41]
Generated Node #2: [58, 30, 41] from Operation: 19+22=41
Current State: 47:[58, 30, 41], Operations: ['19+22=41']
Exploring Operation: 58+30=88, Resulting Numbers: [41, 88]
Generated Node #3: [41, 88] from Operation: 58+30=88
Current State: 47:[41, 88], Operations: ['19+22=41', '58+30=88']
Exploring Operation: 88-41=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
20,
5,
46,
64
] | 82 | [
"20*5=100",
"64-46=18",
"100-18=82"
] | Current State: 82:[20, 5, 46, 64], Operations: []
Exploring Operation: 20*5=100, Resulting Numbers: [46, 64, 100]
Generated Node #2: [46, 64, 100] from Operation: 20*5=100
Current State: 82:[46, 64, 100], Operations: ['20*5=100']
Exploring Operation: 64-46=18, Resulting Numbers: [100, 18]
Generated Node #3: [100, 18] from Operation: 64-46=18
Current State: 82:[100, 18], Operations: ['20*5=100', '64-46=18']
Exploring Operation: 100-18=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
78,
52,
27,
13
] | 14 | [
"78-52=26",
"27+13=40",
"40-26=14"
] | Current State: 14:[78, 52, 27, 13], Operations: []
Exploring Operation: 78-52=26, Resulting Numbers: [27, 13, 26]
Generated Node #2: [27, 13, 26] from Operation: 78-52=26
Current State: 14:[27, 13, 26], Operations: ['78-52=26']
Exploring Operation: 27+13=40, Resulting Numbers: [26, 40]
Generated Node #3: [26, 40] from Operation: 27+13=40
Current State: 14:[26, 40], Operations: ['78-52=26', '27+13=40']
Exploring Operation: 40-26=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
13,
58,
78,
9
] | 73 | [
"58-13=45",
"45/9=5",
"78-5=73"
] | Current State: 73:[13, 58, 78, 9], Operations: []
Exploring Operation: 58-13=45, Resulting Numbers: [78, 9, 45]
Generated Node #2: [78, 9, 45] from Operation: 58-13=45
Current State: 73:[78, 9, 45], Operations: ['58-13=45']
Exploring Operation: 45/9=5, Resulting Numbers: [78, 5]
Generated Node #3: [78, 5] from Operation: 45/9=5
Current State: 73:[78, 5], Operations: ['58-13=45', '45/9=5']
Exploring Operation: 78-5=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
24,
58,
19,
46
] | 99 | [
"58-24=34",
"19+46=65",
"34+65=99"
] | Current State: 99:[24, 58, 19, 46], Operations: []
Exploring Operation: 58-24=34, Resulting Numbers: [19, 46, 34]
Generated Node #2: [19, 46, 34] from Operation: 58-24=34
Current State: 99:[19, 46, 34], Operations: ['58-24=34']
Exploring Operation: 19+46=65, Resulting Numbers: [34, 65]
Generated Node #3: [34, 65] from Operation: 19+46=65
Current State: 99:[34, 65], Operations: ['58-24=34', '19+46=65']
Exploring Operation: 34+65=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
35,
44,
28,
6
] | 49 | [
"35*44=1540",
"1540/28=55",
"55-6=49"
] | Current State: 49:[35, 44, 28, 6], Operations: []
Exploring Operation: 35*44=1540, Resulting Numbers: [28, 6, 1540]
Generated Node #2: [28, 6, 1540] from Operation: 35*44=1540
Current State: 49:[28, 6, 1540], Operations: ['35*44=1540']
Exploring Operation: 1540/28=55, Resulting Numbers: [6, 55]
Generated Node #3: [6, 55] from Operation: 1540/28=55
Current State: 49:[6, 55], Operations: ['35*44=1540', '1540/28=55']
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
45,
26,
42,
18
] | 20 | [
"45-42=3",
"18/3=6",
"26-6=20"
] | Current State: 20:[45, 26, 42, 18], Operations: []
Exploring Operation: 45-42=3, Resulting Numbers: [26, 18, 3]
Generated Node #2: [26, 18, 3] from Operation: 45-42=3
Current State: 20:[26, 18, 3], Operations: ['45-42=3']
Exploring Operation: 18/3=6, Resulting Numbers: [26, 6]
Generated Node #3: [26, 6] from Operation: 18/3=6
Current State: 20:[26, 6], Operations: ['45-42=3', '18/3=6']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
3,
32,
14,
43
] | 97 | [
"32-14=18",
"3*18=54",
"43+54=97"
] | Current State: 97:[3, 32, 14, 43], Operations: []
Exploring Operation: 32-14=18, Resulting Numbers: [3, 43, 18]
Generated Node #2: [3, 43, 18] from Operation: 32-14=18
Current State: 97:[3, 43, 18], Operations: ['32-14=18']
Exploring Operation: 3*18=54, Resulting Numbers: [43, 54]
Generated Node #3: [43, 54] from Operation: 3*18=54
Current State: 97:[43, 54], Operations: ['32-14=18', '3*18=54']
Exploring Operation: 43+54=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
25,
28,
65,
54
] | 66 | [
"25+28=53",
"65+54=119",
"119-53=66"
] | Current State: 66:[25, 28, 65, 54], Operations: []
Exploring Operation: 25+28=53, Resulting Numbers: [65, 54, 53]
Generated Node #2: [65, 54, 53] from Operation: 25+28=53
Current State: 66:[65, 54, 53], Operations: ['25+28=53']
Exploring Operation: 65+54=119, Resulting Numbers: [53, 119]
Generated Node #3: [53, 119] from Operation: 65+54=119
Current State: 66:[53, 119], Operations: ['25+28=53', '65+54=119']
Exploring Operation: 119-53=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
77,
47,
66,
77
] | 40 | [
"77-66=11",
"77/11=7",
"47-7=40"
] | Current State: 40:[77, 47, 66, 77], Operations: []
Exploring Operation: 77-66=11, Resulting Numbers: [47, 11]
Generated Node #2: [47, 11] from Operation: 77-66=11
Current State: 40:[47, 11], Operations: ['77-66=11']
Exploring Operation: 77/11=7, Resulting Numbers: [47, 7]
Generated Node #3: [47, 7] from Operation: 77/11=7
Current State: 40:[47, 7], Operations: ['77-66=11', '77/11=7']
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
30,
10,
61,
89
] | 50 | [
"30/10=3",
"61+89=150",
"150/3=50"
] | Current State: 50:[30, 10, 61, 89], Operations: []
Exploring Operation: 30/10=3, Resulting Numbers: [61, 89, 3]
Generated Node #2: [61, 89, 3] from Operation: 30/10=3
Current State: 50:[61, 89, 3], Operations: ['30/10=3']
Exploring Operation: 61+89=150, Resulting Numbers: [3, 150]
Generated Node #3: [3, 150] from Operation: 61+89=150
Current State: 50:[3, 150], Operations: ['30/10=3', '61+89=150']
Exploring Operation: 150/3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
5,
63,
42,
56
] | 35 | [
"63+42=105",
"105/5=21",
"56-21=35"
] | Current State: 35:[5, 63, 42, 56], Operations: []
Exploring Operation: 63+42=105, Resulting Numbers: [5, 56, 105]
Generated Node #2: [5, 56, 105] from Operation: 63+42=105
Current State: 35:[5, 56, 105], Operations: ['63+42=105']
Exploring Operation: 105/5=21, Resulting Numbers: [56, 21]
Generated Node #3: [56, 21] from Operation: 105/5=21
Current State: 35:[56, 21], Operations: ['63+42=105', '105/5=21']
Exploring Operation: 56-21=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
88,
24,
12,
98
] | 93 | [
"88+98=186",
"24/12=2",
"186/2=93"
] | Current State: 93:[88, 24, 12, 98], Operations: []
Exploring Operation: 88+98=186, Resulting Numbers: [24, 12, 186]
Generated Node #2: [24, 12, 186] from Operation: 88+98=186
Current State: 93:[24, 12, 186], Operations: ['88+98=186']
Exploring Operation: 24/12=2, Resulting Numbers: [186, 2]
Generated Node #3: [186, 2] from Operation: 24/12=2
Current State: 93:[186, 2], Operations: ['88+98=186', '24/12=2']
Exploring Operation: 186/2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
12,
5,
19,
8
] | 92 | [
"12*5=60",
"19*8=152",
"152-60=92"
] | Current State: 92:[12, 5, 19, 8], Operations: []
Exploring Operation: 12*5=60, Resulting Numbers: [19, 8, 60]
Generated Node #2: [19, 8, 60] from Operation: 12*5=60
Current State: 92:[19, 8, 60], Operations: ['12*5=60']
Exploring Operation: 19*8=152, Resulting Numbers: [60, 152]
Generated Node #3: [60, 152] from Operation: 19*8=152
Current State: 92:[60, 152], Operations: ['12*5=60', '19*8=152']
Exploring Operation: 152-60=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
32,
3,
9,
53
] | 27 | [
"32+3=35",
"9+53=62",
"62-35=27"
] | Current State: 27:[32, 3, 9, 53], Operations: []
Exploring Operation: 32+3=35, Resulting Numbers: [9, 53, 35]
Generated Node #2: [9, 53, 35] from Operation: 32+3=35
Current State: 27:[9, 53, 35], Operations: ['32+3=35']
Exploring Operation: 9+53=62, Resulting Numbers: [35, 62]
Generated Node #3: [35, 62] from Operation: 9+53=62
Current State: 27:[35, 62], Operations: ['32+3=35', '9+53=62']
Exploring Operation: 62-35=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
18,
27,
72,
52
] | 74 | [
"27*52=1404",
"1404-72=1332",
"1332/18=74"
] | Current State: 74:[18, 27, 72, 52], Operations: []
Exploring Operation: 27*52=1404, Resulting Numbers: [18, 72, 1404]
Generated Node #2: [18, 72, 1404] from Operation: 27*52=1404
Current State: 74:[18, 72, 1404], Operations: ['27*52=1404']
Exploring Operation: 1404-72=1332, Resulting Numbers: [18, 1332]
Generated Node #3: [18, 1332] from Operation: 1404-72=1332
Current State: 74:[18, 1332], Operations: ['27*52=1404', '1404-72=1332']
Exploring Operation: 1332/18=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
32,
66,
93,
27
] | 23 | [
"32*66=2112",
"27+2112=2139",
"2139/93=23"
] | Current State: 23:[32, 66, 93, 27], Operations: []
Exploring Operation: 32*66=2112, Resulting Numbers: [93, 27, 2112]
Generated Node #2: [93, 27, 2112] from Operation: 32*66=2112
Current State: 23:[93, 27, 2112], Operations: ['32*66=2112']
Exploring Operation: 27+2112=2139, Resulting Numbers: [93, 2139]
Generated Node #3: [93, 2139] from Operation: 27+2112=2139
Current State: 23:[93, 2139], Operations: ['32*66=2112', '27+2112=2139']
Exploring Operation: 2139/93=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
45,
55,
11,
58
] | 52 | [
"55-45=10",
"11*10=110",
"110-58=52"
] | Current State: 52:[45, 55, 11, 58], Operations: []
Exploring Operation: 55-45=10, Resulting Numbers: [11, 58, 10]
Generated Node #2: [11, 58, 10] from Operation: 55-45=10
Current State: 52:[11, 58, 10], Operations: ['55-45=10']
Exploring Operation: 11*10=110, Resulting Numbers: [58, 110]
Generated Node #3: [58, 110] from Operation: 11*10=110
Current State: 52:[58, 110], Operations: ['55-45=10', '11*10=110']
Exploring Operation: 110-58=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
33,
78,
68,
16
] | 22 | [
"68-16=52",
"33*52=1716",
"1716/78=22"
] | Current State: 22:[33, 78, 68, 16], Operations: []
Exploring Operation: 68-16=52, Resulting Numbers: [33, 78, 52]
Generated Node #2: [33, 78, 52] from Operation: 68-16=52
Current State: 22:[33, 78, 52], Operations: ['68-16=52']
Exploring Operation: 33*52=1716, Resulting Numbers: [78, 1716]
Generated Node #3: [78, 1716] from Operation: 33*52=1716
Current State: 22:[78, 1716], Operations: ['68-16=52', '33*52=1716']
Exploring Operation: 1716/78=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
90,
16,
62,
33
] | 45 | [
"90-16=74",
"62-33=29",
"74-29=45"
] | Current State: 45:[90, 16, 62, 33], Operations: []
Exploring Operation: 90-16=74, Resulting Numbers: [62, 33, 74]
Generated Node #2: [62, 33, 74] from Operation: 90-16=74
Current State: 45:[62, 33, 74], Operations: ['90-16=74']
Exploring Operation: 62-33=29, Resulting Numbers: [74, 29]
Generated Node #3: [74, 29] from Operation: 62-33=29
Current State: 45:[74, 29], Operations: ['90-16=74', '62-33=29']
Exploring Operation: 74-29=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
91,
70,
46,
11
] | 14 | [
"91-70=21",
"46-11=35",
"35-21=14"
] | Current State: 14:[91, 70, 46, 11], Operations: []
Exploring Operation: 91-70=21, Resulting Numbers: [46, 11, 21]
Generated Node #2: [46, 11, 21] from Operation: 91-70=21
Current State: 14:[46, 11, 21], Operations: ['91-70=21']
Exploring Operation: 46-11=35, Resulting Numbers: [21, 35]
Generated Node #3: [21, 35] from Operation: 46-11=35
Current State: 14:[21, 35], Operations: ['91-70=21', '46-11=35']
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
72,
85,
61,
36
] | 33 | [
"85-61=24",
"72/24=3",
"36-3=33"
] | Current State: 33:[72, 85, 61, 36], Operations: []
Exploring Operation: 85-61=24, Resulting Numbers: [72, 36, 24]
Generated Node #2: [72, 36, 24] from Operation: 85-61=24
Current State: 33:[72, 36, 24], Operations: ['85-61=24']
Exploring Operation: 72/24=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 72/24=3
Current State: 33:[36, 3], Operations: ['85-61=24', '72/24=3']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
99,
9,
16,
86
] | 59 | [
"99/9=11",
"86-16=70",
"70-11=59"
] | Current State: 59:[99, 9, 16, 86], Operations: []
Exploring Operation: 99/9=11, Resulting Numbers: [16, 86, 11]
Generated Node #2: [16, 86, 11] from Operation: 99/9=11
Current State: 59:[16, 86, 11], Operations: ['99/9=11']
Exploring Operation: 86-16=70, Resulting Numbers: [11, 70]
Generated Node #3: [11, 70] from Operation: 86-16=70
Current State: 59:[11, 70], Operations: ['99/9=11', '86-16=70']
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
58,
92,
97,
7
] | 23 | [
"97-92=5",
"7*5=35",
"58-35=23"
] | Current State: 23:[58, 92, 97, 7], Operations: []
Exploring Operation: 97-92=5, Resulting Numbers: [58, 7, 5]
Generated Node #2: [58, 7, 5] from Operation: 97-92=5
Current State: 23:[58, 7, 5], Operations: ['97-92=5']
Exploring Operation: 7*5=35, Resulting Numbers: [58, 35]
Generated Node #3: [58, 35] from Operation: 7*5=35
Current State: 23:[58, 35], Operations: ['97-92=5', '7*5=35']
Exploring Operation: 58-35=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
47,
50,
49,
23
] | 24 | [
"50-47=3",
"49+23=72",
"72/3=24"
] | Current State: 24:[47, 50, 49, 23], Operations: []
Exploring Operation: 50-47=3, Resulting Numbers: [49, 23, 3]
Generated Node #2: [49, 23, 3] from Operation: 50-47=3
Current State: 24:[49, 23, 3], Operations: ['50-47=3']
Exploring Operation: 49+23=72, Resulting Numbers: [3, 72]
Generated Node #3: [3, 72] from Operation: 49+23=72
Current State: 24:[3, 72], Operations: ['50-47=3', '49+23=72']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
4,
98,
45,
28
] | 56 | [
"4+45=49",
"98*28=2744",
"2744/49=56"
] | Current State: 56:[4, 98, 45, 28], Operations: []
Exploring Operation: 4+45=49, Resulting Numbers: [98, 28, 49]
Generated Node #2: [98, 28, 49] from Operation: 4+45=49
Current State: 56:[98, 28, 49], Operations: ['4+45=49']
Exploring Operation: 98*28=2744, Resulting Numbers: [49, 2744]
Generated Node #3: [49, 2744] from Operation: 98*28=2744
Current State: 56:[49, 2744], Operations: ['4+45=49', '98*28=2744']
Exploring Operation: 2744/49=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
73,
2,
95,
85
] | 68 | [
"95-85=10",
"10/2=5",
"73-5=68"
] | Current State: 68:[73, 2, 95, 85], Operations: []
Exploring Operation: 95-85=10, Resulting Numbers: [73, 2, 10]
Generated Node #2: [73, 2, 10] from Operation: 95-85=10
Current State: 68:[73, 2, 10], Operations: ['95-85=10']
Exploring Operation: 10/2=5, Resulting Numbers: [73, 5]
Generated Node #3: [73, 5] from Operation: 10/2=5
Current State: 68:[73, 5], Operations: ['95-85=10', '10/2=5']
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
18,
74,
87,
36
] | 11 | [
"36/18=2",
"87-74=13",
"13-2=11"
] | Current State: 11:[18, 74, 87, 36], Operations: []
Exploring Operation: 36/18=2, Resulting Numbers: [74, 87, 2]
Generated Node #2: [74, 87, 2] from Operation: 36/18=2
Current State: 11:[74, 87, 2], Operations: ['36/18=2']
Exploring Operation: 87-74=13, Resulting Numbers: [2, 13]
Generated Node #3: [2, 13] from Operation: 87-74=13
Current State: 11:[2, 13], Operations: ['36/18=2', '87-74=13']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
22,
8,
26,
52
] | 16 | [
"22-8=14",
"52/26=2",
"14+2=16"
] | Current State: 16:[22, 8, 26, 52], Operations: []
Exploring Operation: 22-8=14, Resulting Numbers: [26, 52, 14]
Generated Node #2: [26, 52, 14] from Operation: 22-8=14
Current State: 16:[26, 52, 14], Operations: ['22-8=14']
Exploring Operation: 52/26=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 52/26=2
Current State: 16:[14, 2], Operations: ['22-8=14', '52/26=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
12,
74,
79,
67
] | 84 | [
"74-12=62",
"79+67=146",
"146-62=84"
] | Current State: 84:[12, 74, 79, 67], Operations: []
Exploring Operation: 74-12=62, Resulting Numbers: [79, 67, 62]
Generated Node #2: [79, 67, 62] from Operation: 74-12=62
Current State: 84:[79, 67, 62], Operations: ['74-12=62']
Exploring Operation: 79+67=146, Resulting Numbers: [62, 146]
Generated Node #3: [62, 146] from Operation: 79+67=146
Current State: 84:[62, 146], Operations: ['74-12=62', '79+67=146']
Exploring Operation: 146-62=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
34,
5,
41,
4
] | 100 | [
"34*4=136",
"41-5=36",
"136-36=100"
] | Current State: 100:[34, 5, 41, 4], Operations: []
Exploring Operation: 34*4=136, Resulting Numbers: [5, 41, 136]
Generated Node #2: [5, 41, 136] from Operation: 34*4=136
Current State: 100:[5, 41, 136], Operations: ['34*4=136']
Exploring Operation: 41-5=36, Resulting Numbers: [136, 36]
Generated Node #3: [136, 36] from Operation: 41-5=36
Current State: 100:[136, 36], Operations: ['34*4=136', '41-5=36']
Exploring Operation: 136-36=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
17,
70,
5,
73
] | 25 | [
"70-17=53",
"5+73=78",
"78-53=25"
] | Current State: 25:[17, 70, 5, 73], Operations: []
Exploring Operation: 70-17=53, Resulting Numbers: [5, 73, 53]
Generated Node #2: [5, 73, 53] from Operation: 70-17=53
Current State: 25:[5, 73, 53], Operations: ['70-17=53']
Exploring Operation: 5+73=78, Resulting Numbers: [53, 78]
Generated Node #3: [53, 78] from Operation: 5+73=78
Current State: 25:[53, 78], Operations: ['70-17=53', '5+73=78']
Exploring Operation: 78-53=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
3,
21,
41,
10
] | 58 | [
"21/3=7",
"41+10=51",
"7+51=58"
] | Current State: 58:[3, 21, 41, 10], Operations: []
Exploring Operation: 21/3=7, Resulting Numbers: [41, 10, 7]
Generated Node #2: [41, 10, 7] from Operation: 21/3=7
Current State: 58:[41, 10, 7], Operations: ['21/3=7']
Exploring Operation: 41+10=51, Resulting Numbers: [7, 51]
Generated Node #3: [7, 51] from Operation: 41+10=51
Current State: 58:[7, 51], Operations: ['21/3=7', '41+10=51']
Exploring Operation: 7+51=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
67,
92,
91,
82
] | 16 | [
"92-67=25",
"91-82=9",
"25-9=16"
] | Current State: 16:[67, 92, 91, 82], Operations: []
Exploring Operation: 92-67=25, Resulting Numbers: [91, 82, 25]
Generated Node #2: [91, 82, 25] from Operation: 92-67=25
Current State: 16:[91, 82, 25], Operations: ['92-67=25']
Exploring Operation: 91-82=9, Resulting Numbers: [25, 9]
Generated Node #3: [25, 9] from Operation: 91-82=9
Current State: 16:[25, 9], Operations: ['92-67=25', '91-82=9']
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
40,
91,
1,
26
] | 76 | [
"91-40=51",
"26-1=25",
"51+25=76"
] | Current State: 76:[40, 91, 1, 26], Operations: []
Exploring Operation: 91-40=51, Resulting Numbers: [1, 26, 51]
Generated Node #2: [1, 26, 51] from Operation: 91-40=51
Current State: 76:[1, 26, 51], Operations: ['91-40=51']
Exploring Operation: 26-1=25, Resulting Numbers: [51, 25]
Generated Node #3: [51, 25] from Operation: 26-1=25
Current State: 76:[51, 25], Operations: ['91-40=51', '26-1=25']
Exploring Operation: 51+25=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
30,
32,
46,
87
] | 43 | [
"32-30=2",
"87-46=41",
"2+41=43"
] | Current State: 43:[30, 32, 46, 87], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [46, 87, 2]
Generated Node #2: [46, 87, 2] from Operation: 32-30=2
Current State: 43:[46, 87, 2], Operations: ['32-30=2']
Exploring Operation: 87-46=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 87-46=41
Current State: 43:[2, 41], Operations: ['32-30=2', '87-46=41']
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
19,
70,
2,
60
] | 10 | [
"2*60=120",
"70+120=190",
"190/19=10"
] | Current State: 10:[19, 70, 2, 60], Operations: []
Exploring Operation: 2*60=120, Resulting Numbers: [19, 70, 120]
Generated Node #2: [19, 70, 120] from Operation: 2*60=120
Current State: 10:[19, 70, 120], Operations: ['2*60=120']
Exploring Operation: 70+120=190, Resulting Numbers: [19, 190]
Generated Node #3: [19, 190] from Operation: 70+120=190
Current State: 10:[19, 190], Operations: ['2*60=120', '70+120=190']
Exploring Operation: 190/19=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
58,
72,
63,
74
] | 68 | [
"74-72=2",
"63*2=126",
"126-58=68"
] | Current State: 68:[58, 72, 63, 74], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [58, 63, 2]
Generated Node #2: [58, 63, 2] from Operation: 74-72=2
Current State: 68:[58, 63, 2], Operations: ['74-72=2']
Exploring Operation: 63*2=126, Resulting Numbers: [58, 126]
Generated Node #3: [58, 126] from Operation: 63*2=126
Current State: 68:[58, 126], Operations: ['74-72=2', '63*2=126']
Exploring Operation: 126-58=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
72,
47,
6,
78
] | 47 | [
"72+47=119",
"78-6=72",
"119-72=47"
] | Current State: 47:[72, 47, 6, 78], Operations: []
Exploring Operation: 72+47=119, Resulting Numbers: [6, 78, 119]
Generated Node #2: [6, 78, 119] from Operation: 72+47=119
Current State: 47:[6, 78, 119], Operations: ['72+47=119']
Exploring Operation: 78-6=72, Resulting Numbers: [119, 72]
Generated Node #3: [119, 72] from Operation: 78-6=72
Current State: 47:[119, 72], Operations: ['72+47=119', '78-6=72']
Exploring Operation: 119-72=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
66,
36,
33,
12
] | 96 | [
"66+33=99",
"36/12=3",
"99-3=96"
] | Current State: 96:[66, 36, 33, 12], Operations: []
Exploring Operation: 66+33=99, Resulting Numbers: [36, 12, 99]
Generated Node #2: [36, 12, 99] from Operation: 66+33=99
Current State: 96:[36, 12, 99], Operations: ['66+33=99']
Exploring Operation: 36/12=3, Resulting Numbers: [99, 3]
Generated Node #3: [99, 3] from Operation: 36/12=3
Current State: 96:[99, 3], Operations: ['66+33=99', '36/12=3']
Exploring Operation: 99-3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
66,
79,
66,
24
] | 56 | [
"66/66=1",
"79-24=55",
"1+55=56"
] | Current State: 56:[66, 79, 66, 24], Operations: []
Exploring Operation: 66/66=1, Resulting Numbers: [79, 24, 1]
Generated Node #2: [79, 24, 1] from Operation: 66/66=1
Current State: 56:[79, 24, 1], Operations: ['66/66=1']
Exploring Operation: 79-24=55, Resulting Numbers: [1, 55]
Generated Node #3: [1, 55] from Operation: 79-24=55
Current State: 56:[1, 55], Operations: ['66/66=1', '79-24=55']
Exploring Operation: 1+55=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
68,
51,
58,
54
] | 13 | [
"68-51=17",
"58-54=4",
"17-4=13"
] | Current State: 13:[68, 51, 58, 54], Operations: []
Exploring Operation: 68-51=17, Resulting Numbers: [58, 54, 17]
Generated Node #2: [58, 54, 17] from Operation: 68-51=17
Current State: 13:[58, 54, 17], Operations: ['68-51=17']
Exploring Operation: 58-54=4, Resulting Numbers: [17, 4]
Generated Node #3: [17, 4] from Operation: 58-54=4
Current State: 13:[17, 4], Operations: ['68-51=17', '58-54=4']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
35,
45,
60,
87
] | 37 | [
"45-35=10",
"87-60=27",
"10+27=37"
] | Current State: 37:[35, 45, 60, 87], Operations: []
Exploring Operation: 45-35=10, Resulting Numbers: [60, 87, 10]
Generated Node #2: [60, 87, 10] from Operation: 45-35=10
Current State: 37:[60, 87, 10], Operations: ['45-35=10']
Exploring Operation: 87-60=27, Resulting Numbers: [10, 27]
Generated Node #3: [10, 27] from Operation: 87-60=27
Current State: 37:[10, 27], Operations: ['45-35=10', '87-60=27']
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
30,
46,
85,
1
] | 68 | [
"46-30=16",
"85-1=84",
"84-16=68"
] | Current State: 68:[30, 46, 85, 1], Operations: []
Exploring Operation: 46-30=16, Resulting Numbers: [85, 1, 16]
Generated Node #2: [85, 1, 16] from Operation: 46-30=16
Current State: 68:[85, 1, 16], Operations: ['46-30=16']
Exploring Operation: 85-1=84, Resulting Numbers: [16, 84]
Generated Node #3: [16, 84] from Operation: 85-1=84
Current State: 68:[16, 84], Operations: ['46-30=16', '85-1=84']
Exploring Operation: 84-16=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
88,
86,
18,
88
] | 72 | [
"88-86=2",
"88-18=70",
"2+70=72"
] | Current State: 72:[88, 86, 18, 88], Operations: []
Exploring Operation: 88-86=2, Resulting Numbers: [18, 2]
Generated Node #2: [18, 2] from Operation: 88-86=2
Current State: 72:[18, 2], Operations: ['88-86=2']
Exploring Operation: 88-18=70, Resulting Numbers: [2, 70]
Generated Node #3: [2, 70] from Operation: 88-18=70
Current State: 72:[2, 70], Operations: ['88-86=2', '88-18=70']
Exploring Operation: 2+70=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
5,
67,
57,
95
] | 64 | [
"5*57=285",
"285/95=3",
"67-3=64"
] | Current State: 64:[5, 67, 57, 95], Operations: []
Exploring Operation: 5*57=285, Resulting Numbers: [67, 95, 285]
Generated Node #2: [67, 95, 285] from Operation: 5*57=285
Current State: 64:[67, 95, 285], Operations: ['5*57=285']
Exploring Operation: 285/95=3, Resulting Numbers: [67, 3]
Generated Node #3: [67, 3] from Operation: 285/95=3
Current State: 64:[67, 3], Operations: ['5*57=285', '285/95=3']
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
48,
65,
13,
55
] | 35 | [
"55-48=7",
"65/13=5",
"7*5=35"
] | Current State: 35:[48, 65, 13, 55], Operations: []
Exploring Operation: 55-48=7, Resulting Numbers: [65, 13, 7]
Generated Node #2: [65, 13, 7] from Operation: 55-48=7
Current State: 35:[65, 13, 7], Operations: ['55-48=7']
Exploring Operation: 65/13=5, Resulting Numbers: [7, 5]
Generated Node #3: [7, 5] from Operation: 65/13=5
Current State: 35:[7, 5], Operations: ['55-48=7', '65/13=5']
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
40,
8,
4,
43
] | 31 | [
"40+8=48",
"48/4=12",
"43-12=31"
] | Current State: 31:[40, 8, 4, 43], Operations: []
Exploring Operation: 40+8=48, Resulting Numbers: [4, 43, 48]
Generated Node #2: [4, 43, 48] from Operation: 40+8=48
Current State: 31:[4, 43, 48], Operations: ['40+8=48']
Exploring Operation: 48/4=12, Resulting Numbers: [43, 12]
Generated Node #3: [43, 12] from Operation: 48/4=12
Current State: 31:[43, 12], Operations: ['40+8=48', '48/4=12']
Exploring Operation: 43-12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
17,
18,
46,
21
] | 54 | [
"17+46=63",
"18*63=1134",
"1134/21=54"
] | Current State: 54:[17, 18, 46, 21], Operations: []
Exploring Operation: 17+46=63, Resulting Numbers: [18, 21, 63]
Generated Node #2: [18, 21, 63] from Operation: 17+46=63
Current State: 54:[18, 21, 63], Operations: ['17+46=63']
Exploring Operation: 18*63=1134, Resulting Numbers: [21, 1134]
Generated Node #3: [21, 1134] from Operation: 18*63=1134
Current State: 54:[21, 1134], Operations: ['17+46=63', '18*63=1134']
Exploring Operation: 1134/21=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
4,
17,
64,
46
] | 79 | [
"64/4=16",
"17+46=63",
"16+63=79"
] | Current State: 79:[4, 17, 64, 46], Operations: []
Exploring Operation: 64/4=16, Resulting Numbers: [17, 46, 16]
Generated Node #2: [17, 46, 16] from Operation: 64/4=16
Current State: 79:[17, 46, 16], Operations: ['64/4=16']
Exploring Operation: 17+46=63, Resulting Numbers: [16, 63]
Generated Node #3: [16, 63] from Operation: 17+46=63
Current State: 79:[16, 63], Operations: ['64/4=16', '17+46=63']
Exploring Operation: 16+63=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
1,
66,
3,
40
] | 63 | [
"1+40=41",
"66/3=22",
"41+22=63"
] | Current State: 63:[1, 66, 3, 40], Operations: []
Exploring Operation: 1+40=41, Resulting Numbers: [66, 3, 41]
Generated Node #2: [66, 3, 41] from Operation: 1+40=41
Current State: 63:[66, 3, 41], Operations: ['1+40=41']
Exploring Operation: 66/3=22, Resulting Numbers: [41, 22]
Generated Node #3: [41, 22] from Operation: 66/3=22
Current State: 63:[41, 22], Operations: ['1+40=41', '66/3=22']
Exploring Operation: 41+22=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
5,
76,
43,
18
] | 57 | [
"5*18=90",
"76-43=33",
"90-33=57"
] | Current State: 57:[5, 76, 43, 18], Operations: []
Exploring Operation: 5*18=90, Resulting Numbers: [76, 43, 90]
Generated Node #2: [76, 43, 90] from Operation: 5*18=90
Current State: 57:[76, 43, 90], Operations: ['5*18=90']
Exploring Operation: 76-43=33, Resulting Numbers: [90, 33]
Generated Node #3: [90, 33] from Operation: 76-43=33
Current State: 57:[90, 33], Operations: ['5*18=90', '76-43=33']
Exploring Operation: 90-33=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
6,
59,
30,
1
] | 65 | [
"30/6=5",
"59+1=60",
"5+60=65"
] | Current State: 65:[6, 59, 30, 1], Operations: []
Exploring Operation: 30/6=5, Resulting Numbers: [59, 1, 5]
Generated Node #2: [59, 1, 5] from Operation: 30/6=5
Current State: 65:[59, 1, 5], Operations: ['30/6=5']
Exploring Operation: 59+1=60, Resulting Numbers: [5, 60]
Generated Node #3: [5, 60] from Operation: 59+1=60
Current State: 65:[5, 60], Operations: ['30/6=5', '59+1=60']
Exploring Operation: 5+60=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
3,
13,
39,
51
] | 79 | [
"3*39=117",
"51-13=38",
"117-38=79"
] | Current State: 79:[3, 13, 39, 51], Operations: []
Exploring Operation: 3*39=117, Resulting Numbers: [13, 51, 117]
Generated Node #2: [13, 51, 117] from Operation: 3*39=117
Current State: 79:[13, 51, 117], Operations: ['3*39=117']
Exploring Operation: 51-13=38, Resulting Numbers: [117, 38]
Generated Node #3: [117, 38] from Operation: 51-13=38
Current State: 79:[117, 38], Operations: ['3*39=117', '51-13=38']
Exploring Operation: 117-38=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
40,
11,
60,
46
] | 77 | [
"40-11=29",
"60+46=106",
"106-29=77"
] | Current State: 77:[40, 11, 60, 46], Operations: []
Exploring Operation: 40-11=29, Resulting Numbers: [60, 46, 29]
Generated Node #2: [60, 46, 29] from Operation: 40-11=29
Current State: 77:[60, 46, 29], Operations: ['40-11=29']
Exploring Operation: 60+46=106, Resulting Numbers: [29, 106]
Generated Node #3: [29, 106] from Operation: 60+46=106
Current State: 77:[29, 106], Operations: ['40-11=29', '60+46=106']
Exploring Operation: 106-29=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
53,
10,
40,
97
] | 14 | [
"53-10=43",
"97-40=57",
"57-43=14"
] | Current State: 14:[53, 10, 40, 97], Operations: []
Exploring Operation: 53-10=43, Resulting Numbers: [40, 97, 43]
Generated Node #2: [40, 97, 43] from Operation: 53-10=43
Current State: 14:[40, 97, 43], Operations: ['53-10=43']
Exploring Operation: 97-40=57, Resulting Numbers: [43, 57]
Generated Node #3: [43, 57] from Operation: 97-40=57
Current State: 14:[43, 57], Operations: ['53-10=43', '97-40=57']
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
55,
38,
42,
96
] | 79 | [
"42-38=4",
"96/4=24",
"55+24=79"
] | Current State: 79:[55, 38, 42, 96], Operations: []
Exploring Operation: 42-38=4, Resulting Numbers: [55, 96, 4]
Generated Node #2: [55, 96, 4] from Operation: 42-38=4
Current State: 79:[55, 96, 4], Operations: ['42-38=4']
Exploring Operation: 96/4=24, Resulting Numbers: [55, 24]
Generated Node #3: [55, 24] from Operation: 96/4=24
Current State: 79:[55, 24], Operations: ['42-38=4', '96/4=24']
Exploring Operation: 55+24=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
16,
41,
85,
6
] | 37 | [
"41+85=126",
"126/6=21",
"16+21=37"
] | Current State: 37:[16, 41, 85, 6], Operations: []
Exploring Operation: 41+85=126, Resulting Numbers: [16, 6, 126]
Generated Node #2: [16, 6, 126] from Operation: 41+85=126
Current State: 37:[16, 6, 126], Operations: ['41+85=126']
Exploring Operation: 126/6=21, Resulting Numbers: [16, 21]
Generated Node #3: [16, 21] from Operation: 126/6=21
Current State: 37:[16, 21], Operations: ['41+85=126', '126/6=21']
Exploring Operation: 16+21=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
16,
46,
24,
32
] | 42 | [
"24-16=8",
"32/8=4",
"46-4=42"
] | Current State: 42:[16, 46, 24, 32], Operations: []
Exploring Operation: 24-16=8, Resulting Numbers: [46, 32, 8]
Generated Node #2: [46, 32, 8] from Operation: 24-16=8
Current State: 42:[46, 32, 8], Operations: ['24-16=8']
Exploring Operation: 32/8=4, Resulting Numbers: [46, 4]
Generated Node #3: [46, 4] from Operation: 32/8=4
Current State: 42:[46, 4], Operations: ['24-16=8', '32/8=4']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
4,
45,
65,
82
] | 67 | [
"45-4=41",
"82/41=2",
"65+2=67"
] | Current State: 67:[4, 45, 65, 82], Operations: []
Exploring Operation: 45-4=41, Resulting Numbers: [65, 82, 41]
Generated Node #2: [65, 82, 41] from Operation: 45-4=41
Current State: 67:[65, 82, 41], Operations: ['45-4=41']
Exploring Operation: 82/41=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 82/41=2
Current State: 67:[65, 2], Operations: ['45-4=41', '82/41=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
72,
49,
27,
88
] | 22 | [
"72-49=23",
"27-23=4",
"88/4=22"
] | Current State: 22:[72, 49, 27, 88], Operations: []
Exploring Operation: 72-49=23, Resulting Numbers: [27, 88, 23]
Generated Node #2: [27, 88, 23] from Operation: 72-49=23
Current State: 22:[27, 88, 23], Operations: ['72-49=23']
Exploring Operation: 27-23=4, Resulting Numbers: [88, 4]
Generated Node #3: [88, 4] from Operation: 27-23=4
Current State: 22:[88, 4], Operations: ['72-49=23', '27-23=4']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
22,
12,
12,
28
] | 72 | [
"22+12=34",
"34-28=6",
"12*6=72"
] | Current State: 72:[22, 12, 12, 28], Operations: []
Exploring Operation: 22+12=34, Resulting Numbers: [28, 34]
Generated Node #2: [28, 34] from Operation: 22+12=34
Current State: 72:[28, 34], Operations: ['22+12=34']
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,72 equal: Goal Reached
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
51,
86,
59,
76
] | 52 | [
"86-51=35",
"76-59=17",
"35+17=52"
] | Current State: 52:[51, 86, 59, 76], Operations: []
Exploring Operation: 86-51=35, Resulting Numbers: [59, 76, 35]
Generated Node #2: [59, 76, 35] from Operation: 86-51=35
Current State: 52:[59, 76, 35], Operations: ['86-51=35']
Exploring Operation: 76-59=17, Resulting Numbers: [35, 17]
Generated Node #3: [35, 17] from Operation: 76-59=17
Current State: 52:[35, 17], Operations: ['86-51=35', '76-59=17']
Exploring Operation: 35+17=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
3,
30,
30,
24
] | 71 | [
"3*24=72",
"30/30=1",
"72-1=71"
] | Current State: 71:[3, 30, 30, 24], Operations: []
Exploring Operation: 3*24=72, Resulting Numbers: [30, 30, 72]
Generated Node #2: [30, 30, 72] from Operation: 3*24=72
Current State: 71:[30, 30, 72], Operations: ['3*24=72']
Exploring Operation: 30/30=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 30/30=1
Current State: 71:[72, 1], Operations: ['3*24=72', '30/30=1']
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
57,
19,
38,
94
] | 93 | [
"57-19=38",
"38/38=1",
"94-1=93"
] | Current State: 93:[57, 19, 38, 94], Operations: []
Exploring Operation: 57-19=38, Resulting Numbers: [38, 94, 38]
Generated Node #2: [38, 94, 38] from Operation: 57-19=38
Current State: 93:[38, 94, 38], Operations: ['57-19=38']
Exploring Operation: 38/38=1, Resulting Numbers: [94, 1]
Generated Node #3: [94, 1] from Operation: 38/38=1
Current State: 93:[94, 1], Operations: ['57-19=38', '38/38=1']
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
68,
42,
22,
51
] | 55 | [
"68-42=26",
"51-22=29",
"26+29=55"
] | Current State: 55:[68, 42, 22, 51], Operations: []
Exploring Operation: 68-42=26, Resulting Numbers: [22, 51, 26]
Generated Node #2: [22, 51, 26] from Operation: 68-42=26
Current State: 55:[22, 51, 26], Operations: ['68-42=26']
Exploring Operation: 51-22=29, Resulting Numbers: [26, 29]
Generated Node #3: [26, 29] from Operation: 51-22=29
Current State: 55:[26, 29], Operations: ['68-42=26', '51-22=29']
Exploring Operation: 26+29=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
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