nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
2,
7,
98,
5
] | 33 | [
"2*98=196",
"196/7=28",
"5+28=33"
] | Current State: 33:[2, 7, 98, 5], Operations: []
Exploring Operation: 2*98=196, Resulting Numbers: [7, 5, 196]
Generated Node #2: [7, 5, 196] from Operation: 2*98=196
Current State: 33:[7, 5, 196], Operations: ['2*98=196']
Exploring Operation: 196/7=28, Resulting Numbers: [5, 28]
Generated Node #3: [5, 28] from Operation: 196/7=28
Current State: 33:[5, 28], Operations: ['2*98=196', '196/7=28']
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
55,
4,
20,
92
] | 98 | [
"55+20=75",
"92/4=23",
"75+23=98"
] | Current State: 98:[55, 4, 20, 92], Operations: []
Exploring Operation: 55+20=75, Resulting Numbers: [4, 92, 75]
Generated Node #2: [4, 92, 75] from Operation: 55+20=75
Current State: 98:[4, 92, 75], Operations: ['55+20=75']
Exploring Operation: 92/4=23, Resulting Numbers: [75, 23]
Generated Node #3: [75, 23] from Operation: 92/4=23
Current State: 98:[75, 23], Operations: ['55+20=75', '92/4=23']
Exploring Operation: 75+23=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
21,
20,
84,
37
] | 53 | [
"84/21=4",
"20+37=57",
"57-4=53"
] | Current State: 53:[21, 20, 84, 37], Operations: []
Exploring Operation: 84/21=4, Resulting Numbers: [20, 37, 4]
Generated Node #2: [20, 37, 4] from Operation: 84/21=4
Current State: 53:[20, 37, 4], Operations: ['84/21=4']
Exploring Operation: 20+37=57, Resulting Numbers: [4, 57]
Generated Node #3: [4, 57] from Operation: 20+37=57
Current State: 53:[4, 57], Operations: ['84/21=4', '20+37=57']
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
9,
68,
16,
6
] | 55 | [
"9+68=77",
"16+6=22",
"77-22=55"
] | Current State: 55:[9, 68, 16, 6], Operations: []
Exploring Operation: 9+68=77, Resulting Numbers: [16, 6, 77]
Generated Node #2: [16, 6, 77] from Operation: 9+68=77
Current State: 55:[16, 6, 77], Operations: ['9+68=77']
Exploring Operation: 16+6=22, Resulting Numbers: [77, 22]
Generated Node #3: [77, 22] from Operation: 16+6=22
Current State: 55:[77, 22], Operations: ['9+68=77', '16+6=22']
Exploring Operation: 77-22=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
92,
64,
77,
93
] | 88 | [
"93-77=16",
"64/16=4",
"92-4=88"
] | Current State: 88:[92, 64, 77, 93], Operations: []
Exploring Operation: 93-77=16, Resulting Numbers: [92, 64, 16]
Generated Node #2: [92, 64, 16] from Operation: 93-77=16
Current State: 88:[92, 64, 16], Operations: ['93-77=16']
Exploring Operation: 64/16=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 64/16=4
Current State: 88:[92, 4], Operations: ['93-77=16', '64/16=4']
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
97,
62,
27,
59
] | 16 | [
"62-59=3",
"27*3=81",
"97-81=16"
] | Current State: 16:[97, 62, 27, 59], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [97, 27, 3]
Generated Node #2: [97, 27, 3] from Operation: 62-59=3
Current State: 16:[97, 27, 3], Operations: ['62-59=3']
Exploring Operation: 27*3=81, Resulting Numbers: [97, 81]
Generated Node #3: [97, 81] from Operation: 27*3=81
Current State: 16:[97, 81], Operations: ['62-59=3', '27*3=81']
Exploring Operation: 97-81=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
80,
69,
14,
43
] | 88 | [
"69+43=112",
"112/14=8",
"80+8=88"
] | Current State: 88:[80, 69, 14, 43], Operations: []
Exploring Operation: 69+43=112, Resulting Numbers: [80, 14, 112]
Generated Node #2: [80, 14, 112] from Operation: 69+43=112
Current State: 88:[80, 14, 112], Operations: ['69+43=112']
Exploring Operation: 112/14=8, Resulting Numbers: [80, 8]
Generated Node #3: [80, 8] from Operation: 112/14=8
Current State: 88:[80, 8], Operations: ['69+43=112', '112/14=8']
Exploring Operation: 80+8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
42,
92,
36,
2
] | 15 | [
"42-36=6",
"92-2=90",
"90/6=15"
] | Current State: 15:[42, 92, 36, 2], Operations: []
Exploring Operation: 42-36=6, Resulting Numbers: [92, 2, 6]
Generated Node #2: [92, 2, 6] from Operation: 42-36=6
Current State: 15:[92, 2, 6], Operations: ['42-36=6']
Exploring Operation: 92-2=90, Resulting Numbers: [6, 90]
Generated Node #3: [6, 90] from Operation: 92-2=90
Current State: 15:[6, 90], Operations: ['42-36=6', '92-2=90']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
73,
71,
58,
15
] | 45 | [
"73-71=2",
"58-15=43",
"2+43=45"
] | Current State: 45:[73, 71, 58, 15], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [58, 15, 2]
Generated Node #2: [58, 15, 2] from Operation: 73-71=2
Current State: 45:[58, 15, 2], Operations: ['73-71=2']
Exploring Operation: 58-15=43, Resulting Numbers: [2, 43]
Generated Node #3: [2, 43] from Operation: 58-15=43
Current State: 45:[2, 43], Operations: ['73-71=2', '58-15=43']
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
37,
76,
87,
29
] | 77 | [
"76-37=39",
"87+29=116",
"116-39=77"
] | Current State: 77:[37, 76, 87, 29], Operations: []
Exploring Operation: 76-37=39, Resulting Numbers: [87, 29, 39]
Generated Node #2: [87, 29, 39] from Operation: 76-37=39
Current State: 77:[87, 29, 39], Operations: ['76-37=39']
Exploring Operation: 87+29=116, Resulting Numbers: [39, 116]
Generated Node #3: [39, 116] from Operation: 87+29=116
Current State: 77:[39, 116], Operations: ['76-37=39', '87+29=116']
Exploring Operation: 116-39=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
4,
22,
88,
94
] | 46 | [
"94-88=6",
"4*6=24",
"22+24=46"
] | Current State: 46:[4, 22, 88, 94], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [4, 22, 6]
Generated Node #2: [4, 22, 6] from Operation: 94-88=6
Current State: 46:[4, 22, 6], Operations: ['94-88=6']
Exploring Operation: 4*6=24, Resulting Numbers: [22, 24]
Generated Node #3: [22, 24] from Operation: 4*6=24
Current State: 46:[22, 24], Operations: ['94-88=6', '4*6=24']
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
7,
59,
49,
78
] | 12 | [
"49/7=7",
"78-59=19",
"19-7=12"
] | Current State: 12:[7, 59, 49, 78], Operations: []
Exploring Operation: 49/7=7, Resulting Numbers: [59, 78, 7]
Generated Node #2: [59, 78, 7] from Operation: 49/7=7
Current State: 12:[59, 78, 7], Operations: ['49/7=7']
Exploring Operation: 78-59=19, Resulting Numbers: [7, 19]
Generated Node #3: [7, 19] from Operation: 78-59=19
Current State: 12:[7, 19], Operations: ['49/7=7', '78-59=19']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
76,
14,
68,
52
] | 38 | [
"68-14=54",
"54-52=2",
"76/2=38"
] | Current State: 38:[76, 14, 68, 52], Operations: []
Exploring Operation: 68-14=54, Resulting Numbers: [76, 52, 54]
Generated Node #2: [76, 52, 54] from Operation: 68-14=54
Current State: 38:[76, 52, 54], Operations: ['68-14=54']
Exploring Operation: 54-52=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 54-52=2
Current State: 38:[76, 2], Operations: ['68-14=54', '54-52=2']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
74,
14,
95,
3
] | 75 | [
"74-14=60",
"60/3=20",
"95-20=75"
] | Current State: 75:[74, 14, 95, 3], Operations: []
Exploring Operation: 74-14=60, Resulting Numbers: [95, 3, 60]
Generated Node #2: [95, 3, 60] from Operation: 74-14=60
Current State: 75:[95, 3, 60], Operations: ['74-14=60']
Exploring Operation: 60/3=20, Resulting Numbers: [95, 20]
Generated Node #3: [95, 20] from Operation: 60/3=20
Current State: 75:[95, 20], Operations: ['74-14=60', '60/3=20']
Exploring Operation: 95-20=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
68,
11,
77,
77
] | 97 | [
"68-11=57",
"77+77=154",
"154-57=97"
] | Current State: 97:[68, 11, 77, 77], Operations: []
Exploring Operation: 68-11=57, Resulting Numbers: [77, 77, 57]
Generated Node #2: [77, 77, 57] from Operation: 68-11=57
Current State: 97:[77, 77, 57], Operations: ['68-11=57']
Exploring Operation: 77+77=154, Resulting Numbers: [57, 154]
Generated Node #3: [57, 154] from Operation: 77+77=154
Current State: 97:[57, 154], Operations: ['68-11=57', '77+77=154']
Exploring Operation: 154-57=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
15,
6,
7,
61
] | 24 | [
"61-7=54",
"54/6=9",
"15+9=24"
] | Current State: 24:[15, 6, 7, 61], Operations: []
Exploring Operation: 61-7=54, Resulting Numbers: [15, 6, 54]
Generated Node #2: [15, 6, 54] from Operation: 61-7=54
Current State: 24:[15, 6, 54], Operations: ['61-7=54']
Exploring Operation: 54/6=9, Resulting Numbers: [15, 9]
Generated Node #3: [15, 9] from Operation: 54/6=9
Current State: 24:[15, 9], Operations: ['61-7=54', '54/6=9']
Exploring Operation: 15+9=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
78,
51,
98,
92
] | 38 | [
"98-92=6",
"78/6=13",
"51-13=38"
] | Current State: 38:[78, 51, 98, 92], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [78, 51, 6]
Generated Node #2: [78, 51, 6] from Operation: 98-92=6
Current State: 38:[78, 51, 6], Operations: ['98-92=6']
Exploring Operation: 78/6=13, Resulting Numbers: [51, 13]
Generated Node #3: [51, 13] from Operation: 78/6=13
Current State: 38:[51, 13], Operations: ['98-92=6', '78/6=13']
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
21,
22,
4,
52
] | 49 | [
"22-21=1",
"52-4=48",
"1+48=49"
] | Current State: 49:[21, 22, 4, 52], Operations: []
Exploring Operation: 22-21=1, Resulting Numbers: [4, 52, 1]
Generated Node #2: [4, 52, 1] from Operation: 22-21=1
Current State: 49:[4, 52, 1], Operations: ['22-21=1']
Exploring Operation: 52-4=48, Resulting Numbers: [1, 48]
Generated Node #3: [1, 48] from Operation: 52-4=48
Current State: 49:[1, 48], Operations: ['22-21=1', '52-4=48']
Exploring Operation: 1+48=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
45,
33,
91,
60
] | 47 | [
"45+33=78",
"91-60=31",
"78-31=47"
] | Current State: 47:[45, 33, 91, 60], Operations: []
Exploring Operation: 45+33=78, Resulting Numbers: [91, 60, 78]
Generated Node #2: [91, 60, 78] from Operation: 45+33=78
Current State: 47:[91, 60, 78], Operations: ['45+33=78']
Exploring Operation: 91-60=31, Resulting Numbers: [78, 31]
Generated Node #3: [78, 31] from Operation: 91-60=31
Current State: 47:[78, 31], Operations: ['45+33=78', '91-60=31']
Exploring Operation: 78-31=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
18,
71,
1,
74
] | 20 | [
"71-18=53",
"74-1=73",
"73-53=20"
] | Current State: 20:[18, 71, 1, 74], Operations: []
Exploring Operation: 71-18=53, Resulting Numbers: [1, 74, 53]
Generated Node #2: [1, 74, 53] from Operation: 71-18=53
Current State: 20:[1, 74, 53], Operations: ['71-18=53']
Exploring Operation: 74-1=73, Resulting Numbers: [53, 73]
Generated Node #3: [53, 73] from Operation: 74-1=73
Current State: 20:[53, 73], Operations: ['71-18=53', '74-1=73']
Exploring Operation: 73-53=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
57,
88,
7,
29
] | 14 | [
"88-57=31",
"31-29=2",
"7*2=14"
] | Current State: 14:[57, 88, 7, 29], Operations: []
Exploring Operation: 88-57=31, Resulting Numbers: [7, 29, 31]
Generated Node #2: [7, 29, 31] from Operation: 88-57=31
Current State: 14:[7, 29, 31], Operations: ['88-57=31']
Exploring Operation: 31-29=2, Resulting Numbers: [7, 2]
Generated Node #3: [7, 2] from Operation: 31-29=2
Current State: 14:[7, 2], Operations: ['88-57=31', '31-29=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
95,
1,
51,
53
] | 48 | [
"95+1=96",
"53-51=2",
"96/2=48"
] | Current State: 48:[95, 1, 51, 53], Operations: []
Exploring Operation: 95+1=96, Resulting Numbers: [51, 53, 96]
Generated Node #2: [51, 53, 96] from Operation: 95+1=96
Current State: 48:[51, 53, 96], Operations: ['95+1=96']
Exploring Operation: 53-51=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 53-51=2
Current State: 48:[96, 2], Operations: ['95+1=96', '53-51=2']
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
2,
71,
33,
84
] | 62 | [
"84/2=42",
"71+33=104",
"104-42=62"
] | Current State: 62:[2, 71, 33, 84], Operations: []
Exploring Operation: 84/2=42, Resulting Numbers: [71, 33, 42]
Generated Node #2: [71, 33, 42] from Operation: 84/2=42
Current State: 62:[71, 33, 42], Operations: ['84/2=42']
Exploring Operation: 71+33=104, Resulting Numbers: [42, 104]
Generated Node #3: [42, 104] from Operation: 71+33=104
Current State: 62:[42, 104], Operations: ['84/2=42', '71+33=104']
Exploring Operation: 104-42=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
27,
97,
27,
13
] | 83 | [
"27/27=1",
"97-13=84",
"84-1=83"
] | Current State: 83:[27, 97, 27, 13], Operations: []
Exploring Operation: 27/27=1, Resulting Numbers: [97, 13, 1]
Generated Node #2: [97, 13, 1] from Operation: 27/27=1
Current State: 83:[97, 13, 1], Operations: ['27/27=1']
Exploring Operation: 97-13=84, Resulting Numbers: [1, 84]
Generated Node #3: [1, 84] from Operation: 97-13=84
Current State: 83:[1, 84], Operations: ['27/27=1', '97-13=84']
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
60,
60,
9,
3
] | 11 | [
"60/60=1",
"9+3=12",
"12-1=11"
] | Current State: 11:[60, 60, 9, 3], Operations: []
Exploring Operation: 60/60=1, Resulting Numbers: [9, 3, 1]
Generated Node #2: [9, 3, 1] from Operation: 60/60=1
Current State: 11:[9, 3, 1], Operations: ['60/60=1']
Exploring Operation: 9+3=12, Resulting Numbers: [1, 12]
Generated Node #3: [1, 12] from Operation: 9+3=12
Current State: 11:[1, 12], Operations: ['60/60=1', '9+3=12']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
36,
63,
40,
96
] | 98 | [
"96-40=56",
"63*56=3528",
"3528/36=98"
] | Current State: 98:[36, 63, 40, 96], Operations: []
Exploring Operation: 96-40=56, Resulting Numbers: [36, 63, 56]
Generated Node #2: [36, 63, 56] from Operation: 96-40=56
Current State: 98:[36, 63, 56], Operations: ['96-40=56']
Exploring Operation: 63*56=3528, Resulting Numbers: [36, 3528]
Generated Node #3: [36, 3528] from Operation: 63*56=3528
Current State: 98:[36, 3528], Operations: ['96-40=56', '63*56=3528']
Exploring Operation: 3528/36=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
46,
29,
30,
95
] | 10 | [
"46+29=75",
"95-30=65",
"75-65=10"
] | Current State: 10:[46, 29, 30, 95], Operations: []
Exploring Operation: 46+29=75, Resulting Numbers: [30, 95, 75]
Generated Node #2: [30, 95, 75] from Operation: 46+29=75
Current State: 10:[30, 95, 75], Operations: ['46+29=75']
Exploring Operation: 95-30=65, Resulting Numbers: [75, 65]
Generated Node #3: [75, 65] from Operation: 95-30=65
Current State: 10:[75, 65], Operations: ['46+29=75', '95-30=65']
Exploring Operation: 75-65=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
87,
2,
62,
53
] | 90 | [
"87-53=34",
"2*62=124",
"124-34=90"
] | Current State: 90:[87, 2, 62, 53], Operations: []
Exploring Operation: 87-53=34, Resulting Numbers: [2, 62, 34]
Generated Node #2: [2, 62, 34] from Operation: 87-53=34
Current State: 90:[2, 62, 34], Operations: ['87-53=34']
Exploring Operation: 2*62=124, Resulting Numbers: [34, 124]
Generated Node #3: [34, 124] from Operation: 2*62=124
Current State: 90:[34, 124], Operations: ['87-53=34', '2*62=124']
Exploring Operation: 124-34=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
2,
22,
65,
26
] | 35 | [
"2*26=52",
"22+65=87",
"87-52=35"
] | Current State: 35:[2, 22, 65, 26], Operations: []
Exploring Operation: 2*26=52, Resulting Numbers: [22, 65, 52]
Generated Node #2: [22, 65, 52] from Operation: 2*26=52
Current State: 35:[22, 65, 52], Operations: ['2*26=52']
Exploring Operation: 22+65=87, Resulting Numbers: [52, 87]
Generated Node #3: [52, 87] from Operation: 22+65=87
Current State: 35:[52, 87], Operations: ['2*26=52', '22+65=87']
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
29,
2,
19,
4
] | 31 | [
"29-4=25",
"2*25=50",
"50-19=31"
] | Current State: 31:[29, 2, 19, 4], Operations: []
Exploring Operation: 29-4=25, Resulting Numbers: [2, 19, 25]
Generated Node #2: [2, 19, 25] from Operation: 29-4=25
Current State: 31:[2, 19, 25], Operations: ['29-4=25']
Exploring Operation: 2*25=50, Resulting Numbers: [19, 50]
Generated Node #3: [19, 50] from Operation: 2*25=50
Current State: 31:[19, 50], Operations: ['29-4=25', '2*25=50']
Exploring Operation: 50-19=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
65,
74,
37,
31
] | 71 | [
"65+74=139",
"37+31=68",
"139-68=71"
] | Current State: 71:[65, 74, 37, 31], Operations: []
Exploring Operation: 65+74=139, Resulting Numbers: [37, 31, 139]
Generated Node #2: [37, 31, 139] from Operation: 65+74=139
Current State: 71:[37, 31, 139], Operations: ['65+74=139']
Exploring Operation: 37+31=68, Resulting Numbers: [139, 68]
Generated Node #3: [139, 68] from Operation: 37+31=68
Current State: 71:[139, 68], Operations: ['65+74=139', '37+31=68']
Exploring Operation: 139-68=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
78,
88,
58,
67
] | 66 | [
"78-67=11",
"88/11=8",
"58+8=66"
] | Current State: 66:[78, 88, 58, 67], Operations: []
Exploring Operation: 78-67=11, Resulting Numbers: [88, 58, 11]
Generated Node #2: [88, 58, 11] from Operation: 78-67=11
Current State: 66:[88, 58, 11], Operations: ['78-67=11']
Exploring Operation: 88/11=8, Resulting Numbers: [58, 8]
Generated Node #3: [58, 8] from Operation: 88/11=8
Current State: 66:[58, 8], Operations: ['78-67=11', '88/11=8']
Exploring Operation: 58+8=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
30,
68,
24,
59
] | 73 | [
"68-30=38",
"59-24=35",
"38+35=73"
] | Current State: 73:[30, 68, 24, 59], Operations: []
Exploring Operation: 68-30=38, Resulting Numbers: [24, 59, 38]
Generated Node #2: [24, 59, 38] from Operation: 68-30=38
Current State: 73:[24, 59, 38], Operations: ['68-30=38']
Exploring Operation: 59-24=35, Resulting Numbers: [38, 35]
Generated Node #3: [38, 35] from Operation: 59-24=35
Current State: 73:[38, 35], Operations: ['68-30=38', '59-24=35']
Exploring Operation: 38+35=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
49,
4,
96,
93
] | 56 | [
"49+4=53",
"96-93=3",
"53+3=56"
] | Current State: 56:[49, 4, 96, 93], Operations: []
Exploring Operation: 49+4=53, Resulting Numbers: [96, 93, 53]
Generated Node #2: [96, 93, 53] from Operation: 49+4=53
Current State: 56:[96, 93, 53], Operations: ['49+4=53']
Exploring Operation: 96-93=3, Resulting Numbers: [53, 3]
Generated Node #3: [53, 3] from Operation: 96-93=3
Current State: 56:[53, 3], Operations: ['49+4=53', '96-93=3']
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
72,
67,
39,
29
] | 52 | [
"67+29=96",
"39*96=3744",
"3744/72=52"
] | Current State: 52:[72, 67, 39, 29], Operations: []
Exploring Operation: 67+29=96, Resulting Numbers: [72, 39, 96]
Generated Node #2: [72, 39, 96] from Operation: 67+29=96
Current State: 52:[72, 39, 96], Operations: ['67+29=96']
Exploring Operation: 39*96=3744, Resulting Numbers: [72, 3744]
Generated Node #3: [72, 3744] from Operation: 39*96=3744
Current State: 52:[72, 3744], Operations: ['67+29=96', '39*96=3744']
Exploring Operation: 3744/72=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
24,
74,
62,
15
] | 13 | [
"74-62=12",
"24/12=2",
"15-2=13"
] | Current State: 13:[24, 74, 62, 15], Operations: []
Exploring Operation: 74-62=12, Resulting Numbers: [24, 15, 12]
Generated Node #2: [24, 15, 12] from Operation: 74-62=12
Current State: 13:[24, 15, 12], Operations: ['74-62=12']
Exploring Operation: 24/12=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 24/12=2
Current State: 13:[15, 2], Operations: ['74-62=12', '24/12=2']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
36,
98,
1,
13
] | 49 | [
"98-36=62",
"1*13=13",
"62-13=49"
] | Current State: 49:[36, 98, 1, 13], Operations: []
Exploring Operation: 98-36=62, Resulting Numbers: [1, 13, 62]
Generated Node #2: [1, 13, 62] from Operation: 98-36=62
Current State: 49:[1, 13, 62], Operations: ['98-36=62']
Exploring Operation: 1*13=13, Resulting Numbers: [62, 13]
Generated Node #3: [62, 13] from Operation: 1*13=13
Current State: 49:[62, 13], Operations: ['98-36=62', '1*13=13']
Exploring Operation: 62-13=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
22,
93,
72,
3
] | 95 | [
"93-22=71",
"72/3=24",
"71+24=95"
] | Current State: 95:[22, 93, 72, 3], Operations: []
Exploring Operation: 93-22=71, Resulting Numbers: [72, 3, 71]
Generated Node #2: [72, 3, 71] from Operation: 93-22=71
Current State: 95:[72, 3, 71], Operations: ['93-22=71']
Exploring Operation: 72/3=24, Resulting Numbers: [71, 24]
Generated Node #3: [71, 24] from Operation: 72/3=24
Current State: 95:[71, 24], Operations: ['93-22=71', '72/3=24']
Exploring Operation: 71+24=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
8,
56,
91,
89
] | 72 | [
"91-89=2",
"8*2=16",
"56+16=72"
] | Current State: 72:[8, 56, 91, 89], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [8, 56, 2]
Generated Node #2: [8, 56, 2] from Operation: 91-89=2
Current State: 72:[8, 56, 2], Operations: ['91-89=2']
Exploring Operation: 8*2=16, Resulting Numbers: [56, 16]
Generated Node #3: [56, 16] from Operation: 8*2=16
Current State: 72:[56, 16], Operations: ['91-89=2', '8*2=16']
Exploring Operation: 56+16=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
75,
57,
51,
10
] | 95 | [
"75+10=85",
"57*85=4845",
"4845/51=95"
] | Current State: 95:[75, 57, 51, 10], Operations: []
Exploring Operation: 75+10=85, Resulting Numbers: [57, 51, 85]
Generated Node #2: [57, 51, 85] from Operation: 75+10=85
Current State: 95:[57, 51, 85], Operations: ['75+10=85']
Exploring Operation: 57*85=4845, Resulting Numbers: [51, 4845]
Generated Node #3: [51, 4845] from Operation: 57*85=4845
Current State: 95:[51, 4845], Operations: ['75+10=85', '57*85=4845']
Exploring Operation: 4845/51=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
20,
84,
14,
65
] | 15 | [
"84-20=64",
"14+65=79",
"79-64=15"
] | Current State: 15:[20, 84, 14, 65], Operations: []
Exploring Operation: 84-20=64, Resulting Numbers: [14, 65, 64]
Generated Node #2: [14, 65, 64] from Operation: 84-20=64
Current State: 15:[14, 65, 64], Operations: ['84-20=64']
Exploring Operation: 14+65=79, Resulting Numbers: [64, 79]
Generated Node #3: [64, 79] from Operation: 14+65=79
Current State: 15:[64, 79], Operations: ['84-20=64', '14+65=79']
Exploring Operation: 79-64=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
4,
99,
30,
10
] | 100 | [
"4+99=103",
"30/10=3",
"103-3=100"
] | Current State: 100:[4, 99, 30, 10], Operations: []
Exploring Operation: 4+99=103, Resulting Numbers: [30, 10, 103]
Generated Node #2: [30, 10, 103] from Operation: 4+99=103
Current State: 100:[30, 10, 103], Operations: ['4+99=103']
Exploring Operation: 30/10=3, Resulting Numbers: [103, 3]
Generated Node #3: [103, 3] from Operation: 30/10=3
Current State: 100:[103, 3], Operations: ['4+99=103', '30/10=3']
Exploring Operation: 103-3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
80,
7,
15,
3
] | 91 | [
"80-7=73",
"15+3=18",
"73+18=91"
] | Current State: 91:[80, 7, 15, 3], Operations: []
Exploring Operation: 80-7=73, Resulting Numbers: [15, 3, 73]
Generated Node #2: [15, 3, 73] from Operation: 80-7=73
Current State: 91:[15, 3, 73], Operations: ['80-7=73']
Exploring Operation: 15+3=18, Resulting Numbers: [73, 18]
Generated Node #3: [73, 18] from Operation: 15+3=18
Current State: 91:[73, 18], Operations: ['80-7=73', '15+3=18']
Exploring Operation: 73+18=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
47,
32,
51,
35
] | 53 | [
"47*35=1645",
"51+1645=1696",
"1696/32=53"
] | Current State: 53:[47, 32, 51, 35], Operations: []
Exploring Operation: 47*35=1645, Resulting Numbers: [32, 51, 1645]
Generated Node #2: [32, 51, 1645] from Operation: 47*35=1645
Current State: 53:[32, 51, 1645], Operations: ['47*35=1645']
Exploring Operation: 51+1645=1696, Resulting Numbers: [32, 1696]
Generated Node #3: [32, 1696] from Operation: 51+1645=1696
Current State: 53:[32, 1696], Operations: ['47*35=1645', '51+1645=1696']
Exploring Operation: 1696/32=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
87,
96,
49,
90
] | 39 | [
"96-87=9",
"90/9=10",
"49-10=39"
] | Current State: 39:[87, 96, 49, 90], Operations: []
Exploring Operation: 96-87=9, Resulting Numbers: [49, 90, 9]
Generated Node #2: [49, 90, 9] from Operation: 96-87=9
Current State: 39:[49, 90, 9], Operations: ['96-87=9']
Exploring Operation: 90/9=10, Resulting Numbers: [49, 10]
Generated Node #3: [49, 10] from Operation: 90/9=10
Current State: 39:[49, 10], Operations: ['96-87=9', '90/9=10']
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
17,
43,
68,
45
] | 84 | [
"68/17=4",
"43+45=88",
"88-4=84"
] | Current State: 84:[17, 43, 68, 45], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [43, 45, 4]
Generated Node #2: [43, 45, 4] from Operation: 68/17=4
Current State: 84:[43, 45, 4], Operations: ['68/17=4']
Exploring Operation: 43+45=88, Resulting Numbers: [4, 88]
Generated Node #3: [4, 88] from Operation: 43+45=88
Current State: 84:[4, 88], Operations: ['68/17=4', '43+45=88']
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
56,
75,
18,
95
] | 94 | [
"75-56=19",
"18+95=113",
"113-19=94"
] | Current State: 94:[56, 75, 18, 95], Operations: []
Exploring Operation: 75-56=19, Resulting Numbers: [18, 95, 19]
Generated Node #2: [18, 95, 19] from Operation: 75-56=19
Current State: 94:[18, 95, 19], Operations: ['75-56=19']
Exploring Operation: 18+95=113, Resulting Numbers: [19, 113]
Generated Node #3: [19, 113] from Operation: 18+95=113
Current State: 94:[19, 113], Operations: ['75-56=19', '18+95=113']
Exploring Operation: 113-19=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
22,
42,
46,
75
] | 49 | [
"42-22=20",
"75-46=29",
"20+29=49"
] | Current State: 49:[22, 42, 46, 75], Operations: []
Exploring Operation: 42-22=20, Resulting Numbers: [46, 75, 20]
Generated Node #2: [46, 75, 20] from Operation: 42-22=20
Current State: 49:[46, 75, 20], Operations: ['42-22=20']
Exploring Operation: 75-46=29, Resulting Numbers: [20, 29]
Generated Node #3: [20, 29] from Operation: 75-46=29
Current State: 49:[20, 29], Operations: ['42-22=20', '75-46=29']
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
15,
49,
55,
19
] | 40 | [
"49-15=34",
"55+19=74",
"74-34=40"
] | Current State: 40:[15, 49, 55, 19], Operations: []
Exploring Operation: 49-15=34, Resulting Numbers: [55, 19, 34]
Generated Node #2: [55, 19, 34] from Operation: 49-15=34
Current State: 40:[55, 19, 34], Operations: ['49-15=34']
Exploring Operation: 55+19=74, Resulting Numbers: [34, 74]
Generated Node #3: [34, 74] from Operation: 55+19=74
Current State: 40:[34, 74], Operations: ['49-15=34', '55+19=74']
Exploring Operation: 74-34=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
38,
8,
66,
50
] | 86 | [
"38-8=30",
"66+50=116",
"116-30=86"
] | Current State: 86:[38, 8, 66, 50], Operations: []
Exploring Operation: 38-8=30, Resulting Numbers: [66, 50, 30]
Generated Node #2: [66, 50, 30] from Operation: 38-8=30
Current State: 86:[66, 50, 30], Operations: ['38-8=30']
Exploring Operation: 66+50=116, Resulting Numbers: [30, 116]
Generated Node #3: [30, 116] from Operation: 66+50=116
Current State: 86:[30, 116], Operations: ['38-8=30', '66+50=116']
Exploring Operation: 116-30=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
14,
4,
24,
51
] | 43 | [
"51-14=37",
"24/4=6",
"37+6=43"
] | Current State: 43:[14, 4, 24, 51], Operations: []
Exploring Operation: 51-14=37, Resulting Numbers: [4, 24, 37]
Generated Node #2: [4, 24, 37] from Operation: 51-14=37
Current State: 43:[4, 24, 37], Operations: ['51-14=37']
Exploring Operation: 24/4=6, Resulting Numbers: [37, 6]
Generated Node #3: [37, 6] from Operation: 24/4=6
Current State: 43:[37, 6], Operations: ['51-14=37', '24/4=6']
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
44,
68,
66,
75
] | 97 | [
"68-66=2",
"44/2=22",
"75+22=97"
] | Current State: 97:[44, 68, 66, 75], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [44, 75, 2]
Generated Node #2: [44, 75, 2] from Operation: 68-66=2
Current State: 97:[44, 75, 2], Operations: ['68-66=2']
Exploring Operation: 44/2=22, Resulting Numbers: [75, 22]
Generated Node #3: [75, 22] from Operation: 44/2=22
Current State: 97:[75, 22], Operations: ['68-66=2', '44/2=22']
Exploring Operation: 75+22=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
9,
17,
2,
87
] | 35 | [
"9+17=26",
"2*26=52",
"87-52=35"
] | Current State: 35:[9, 17, 2, 87], Operations: []
Exploring Operation: 9+17=26, Resulting Numbers: [2, 87, 26]
Generated Node #2: [2, 87, 26] from Operation: 9+17=26
Current State: 35:[2, 87, 26], Operations: ['9+17=26']
Exploring Operation: 2*26=52, Resulting Numbers: [87, 52]
Generated Node #3: [87, 52] from Operation: 2*26=52
Current State: 35:[87, 52], Operations: ['9+17=26', '2*26=52']
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
7,
54,
2,
81
] | 47 | [
"81-7=74",
"54/2=27",
"74-27=47"
] | Current State: 47:[7, 54, 2, 81], Operations: []
Exploring Operation: 81-7=74, Resulting Numbers: [54, 2, 74]
Generated Node #2: [54, 2, 74] from Operation: 81-7=74
Current State: 47:[54, 2, 74], Operations: ['81-7=74']
Exploring Operation: 54/2=27, Resulting Numbers: [74, 27]
Generated Node #3: [74, 27] from Operation: 54/2=27
Current State: 47:[74, 27], Operations: ['81-7=74', '54/2=27']
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
7,
89,
18,
12
] | 66 | [
"7+89=96",
"18+12=30",
"96-30=66"
] | Current State: 66:[7, 89, 18, 12], Operations: []
Exploring Operation: 7+89=96, Resulting Numbers: [18, 12, 96]
Generated Node #2: [18, 12, 96] from Operation: 7+89=96
Current State: 66:[18, 12, 96], Operations: ['7+89=96']
Exploring Operation: 18+12=30, Resulting Numbers: [96, 30]
Generated Node #3: [96, 30] from Operation: 18+12=30
Current State: 66:[96, 30], Operations: ['7+89=96', '18+12=30']
Exploring Operation: 96-30=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
27,
80,
61,
19
] | 51 | [
"27-19=8",
"80/8=10",
"61-10=51"
] | Current State: 51:[27, 80, 61, 19], Operations: []
Exploring Operation: 27-19=8, Resulting Numbers: [80, 61, 8]
Generated Node #2: [80, 61, 8] from Operation: 27-19=8
Current State: 51:[80, 61, 8], Operations: ['27-19=8']
Exploring Operation: 80/8=10, Resulting Numbers: [61, 10]
Generated Node #3: [61, 10] from Operation: 80/8=10
Current State: 51:[61, 10], Operations: ['27-19=8', '80/8=10']
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
82,
16,
9
] | 65 | [
"16/2=8",
"82-9=73",
"73-8=65"
] | Current State: 65:[2, 82, 16, 9], Operations: []
Exploring Operation: 16/2=8, Resulting Numbers: [82, 9, 8]
Generated Node #2: [82, 9, 8] from Operation: 16/2=8
Current State: 65:[82, 9, 8], Operations: ['16/2=8']
Exploring Operation: 82-9=73, Resulting Numbers: [8, 73]
Generated Node #3: [8, 73] from Operation: 82-9=73
Current State: 65:[8, 73], Operations: ['16/2=8', '82-9=73']
Exploring Operation: 73-8=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
25,
17,
33,
88
] | 79 | [
"25+17=42",
"33+88=121",
"121-42=79"
] | Current State: 79:[25, 17, 33, 88], Operations: []
Exploring Operation: 25+17=42, Resulting Numbers: [33, 88, 42]
Generated Node #2: [33, 88, 42] from Operation: 25+17=42
Current State: 79:[33, 88, 42], Operations: ['25+17=42']
Exploring Operation: 33+88=121, Resulting Numbers: [42, 121]
Generated Node #3: [42, 121] from Operation: 33+88=121
Current State: 79:[42, 121], Operations: ['25+17=42', '33+88=121']
Exploring Operation: 121-42=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
97,
32,
57,
75
] | 94 | [
"57-32=25",
"75/25=3",
"97-3=94"
] | Current State: 94:[97, 32, 57, 75], Operations: []
Exploring Operation: 57-32=25, Resulting Numbers: [97, 75, 25]
Generated Node #2: [97, 75, 25] from Operation: 57-32=25
Current State: 94:[97, 75, 25], Operations: ['57-32=25']
Exploring Operation: 75/25=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 75/25=3
Current State: 94:[97, 3], Operations: ['57-32=25', '75/25=3']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
3,
91,
97,
27
] | 36 | [
"91-3=88",
"97+27=124",
"124-88=36"
] | Current State: 36:[3, 91, 97, 27], Operations: []
Exploring Operation: 91-3=88, Resulting Numbers: [97, 27, 88]
Generated Node #2: [97, 27, 88] from Operation: 91-3=88
Current State: 36:[97, 27, 88], Operations: ['91-3=88']
Exploring Operation: 97+27=124, Resulting Numbers: [88, 124]
Generated Node #3: [88, 124] from Operation: 97+27=124
Current State: 36:[88, 124], Operations: ['91-3=88', '97+27=124']
Exploring Operation: 124-88=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
48,
54,
38,
46
] | 94 | [
"48+54=102",
"46-38=8",
"102-8=94"
] | Current State: 94:[48, 54, 38, 46], Operations: []
Exploring Operation: 48+54=102, Resulting Numbers: [38, 46, 102]
Generated Node #2: [38, 46, 102] from Operation: 48+54=102
Current State: 94:[38, 46, 102], Operations: ['48+54=102']
Exploring Operation: 46-38=8, Resulting Numbers: [102, 8]
Generated Node #3: [102, 8] from Operation: 46-38=8
Current State: 94:[102, 8], Operations: ['48+54=102', '46-38=8']
Exploring Operation: 102-8=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
73,
42,
27,
15
] | 73 | [
"73+42=115",
"27+15=42",
"115-42=73"
] | Current State: 73:[73, 42, 27, 15], Operations: []
Exploring Operation: 73+42=115, Resulting Numbers: [27, 15, 115]
Generated Node #2: [27, 15, 115] from Operation: 73+42=115
Current State: 73:[27, 15, 115], Operations: ['73+42=115']
Exploring Operation: 27+15=42, Resulting Numbers: [115, 42]
Generated Node #3: [115, 42] from Operation: 27+15=42
Current State: 73:[115, 42], Operations: ['73+42=115', '27+15=42']
Exploring Operation: 115-42=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
18,
97,
75,
19
] | 15 | [
"97-18=79",
"75+19=94",
"94-79=15"
] | Current State: 15:[18, 97, 75, 19], Operations: []
Exploring Operation: 97-18=79, Resulting Numbers: [75, 19, 79]
Generated Node #2: [75, 19, 79] from Operation: 97-18=79
Current State: 15:[75, 19, 79], Operations: ['97-18=79']
Exploring Operation: 75+19=94, Resulting Numbers: [79, 94]
Generated Node #3: [79, 94] from Operation: 75+19=94
Current State: 15:[79, 94], Operations: ['97-18=79', '75+19=94']
Exploring Operation: 94-79=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
28,
30,
27,
95
] | 70 | [
"30-28=2",
"95-27=68",
"2+68=70"
] | Current State: 70:[28, 30, 27, 95], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [27, 95, 2]
Generated Node #2: [27, 95, 2] from Operation: 30-28=2
Current State: 70:[27, 95, 2], Operations: ['30-28=2']
Exploring Operation: 95-27=68, Resulting Numbers: [2, 68]
Generated Node #3: [2, 68] from Operation: 95-27=68
Current State: 70:[2, 68], Operations: ['30-28=2', '95-27=68']
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
44,
95,
44,
13
] | 82 | [
"44+95=139",
"44+13=57",
"139-57=82"
] | Current State: 82:[44, 95, 44, 13], Operations: []
Exploring Operation: 44+95=139, Resulting Numbers: [13, 139]
Generated Node #2: [13, 139] from Operation: 44+95=139
Current State: 82:[13, 139], Operations: ['44+95=139']
Exploring Operation: 44+13=57, Resulting Numbers: [139, 57]
Generated Node #3: [139, 57] from Operation: 44+13=57
Current State: 82:[139, 57], Operations: ['44+95=139', '44+13=57']
Exploring Operation: 139-57=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
95,
83,
5,
25
] | 77 | [
"95/5=19",
"83-25=58",
"19+58=77"
] | Current State: 77:[95, 83, 5, 25], Operations: []
Exploring Operation: 95/5=19, Resulting Numbers: [83, 25, 19]
Generated Node #2: [83, 25, 19] from Operation: 95/5=19
Current State: 77:[83, 25, 19], Operations: ['95/5=19']
Exploring Operation: 83-25=58, Resulting Numbers: [19, 58]
Generated Node #3: [19, 58] from Operation: 83-25=58
Current State: 77:[19, 58], Operations: ['95/5=19', '83-25=58']
Exploring Operation: 19+58=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
50,
25,
82,
23
] | 66 | [
"50+82=132",
"25-23=2",
"132/2=66"
] | Current State: 66:[50, 25, 82, 23], Operations: []
Exploring Operation: 50+82=132, Resulting Numbers: [25, 23, 132]
Generated Node #2: [25, 23, 132] from Operation: 50+82=132
Current State: 66:[25, 23, 132], Operations: ['50+82=132']
Exploring Operation: 25-23=2, Resulting Numbers: [132, 2]
Generated Node #3: [132, 2] from Operation: 25-23=2
Current State: 66:[132, 2], Operations: ['50+82=132', '25-23=2']
Exploring Operation: 132/2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
28,
42,
58,
45
] | 21 | [
"28*45=1260",
"1260-42=1218",
"1218/58=21"
] | Current State: 21:[28, 42, 58, 45], Operations: []
Exploring Operation: 28*45=1260, Resulting Numbers: [42, 58, 1260]
Generated Node #2: [42, 58, 1260] from Operation: 28*45=1260
Current State: 21:[42, 58, 1260], Operations: ['28*45=1260']
Exploring Operation: 1260-42=1218, Resulting Numbers: [58, 1218]
Generated Node #3: [58, 1218] from Operation: 1260-42=1218
Current State: 21:[58, 1218], Operations: ['28*45=1260', '1260-42=1218']
Exploring Operation: 1218/58=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
36,
74,
8,
33
] | 38 | [
"74-8=66",
"66/33=2",
"36+2=38"
] | Current State: 38:[36, 74, 8, 33], Operations: []
Exploring Operation: 74-8=66, Resulting Numbers: [36, 33, 66]
Generated Node #2: [36, 33, 66] from Operation: 74-8=66
Current State: 38:[36, 33, 66], Operations: ['74-8=66']
Exploring Operation: 66/33=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 66/33=2
Current State: 38:[36, 2], Operations: ['74-8=66', '66/33=2']
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
56,
26,
54,
3
] | 44 | [
"56-26=30",
"30/3=10",
"54-10=44"
] | Current State: 44:[56, 26, 54, 3], Operations: []
Exploring Operation: 56-26=30, Resulting Numbers: [54, 3, 30]
Generated Node #2: [54, 3, 30] from Operation: 56-26=30
Current State: 44:[54, 3, 30], Operations: ['56-26=30']
Exploring Operation: 30/3=10, Resulting Numbers: [54, 10]
Generated Node #3: [54, 10] from Operation: 30/3=10
Current State: 44:[54, 10], Operations: ['56-26=30', '30/3=10']
Exploring Operation: 54-10=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
52,
36,
47,
3
] | 34 | [
"52-36=16",
"47+3=50",
"50-16=34"
] | Current State: 34:[52, 36, 47, 3], Operations: []
Exploring Operation: 52-36=16, Resulting Numbers: [47, 3, 16]
Generated Node #2: [47, 3, 16] from Operation: 52-36=16
Current State: 34:[47, 3, 16], Operations: ['52-36=16']
Exploring Operation: 47+3=50, Resulting Numbers: [16, 50]
Generated Node #3: [16, 50] from Operation: 47+3=50
Current State: 34:[16, 50], Operations: ['52-36=16', '47+3=50']
Exploring Operation: 50-16=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
18,
65,
2,
98
] | 48 | [
"98-65=33",
"2*33=66",
"66-18=48"
] | Current State: 48:[18, 65, 2, 98], Operations: []
Exploring Operation: 98-65=33, Resulting Numbers: [18, 2, 33]
Generated Node #2: [18, 2, 33] from Operation: 98-65=33
Current State: 48:[18, 2, 33], Operations: ['98-65=33']
Exploring Operation: 2*33=66, Resulting Numbers: [18, 66]
Generated Node #3: [18, 66] from Operation: 2*33=66
Current State: 48:[18, 66], Operations: ['98-65=33', '2*33=66']
Exploring Operation: 66-18=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
49,
77,
19,
7
] | 63 | [
"77-49=28",
"28-19=9",
"7*9=63"
] | Current State: 63:[49, 77, 19, 7], Operations: []
Exploring Operation: 77-49=28, Resulting Numbers: [19, 7, 28]
Generated Node #2: [19, 7, 28] from Operation: 77-49=28
Current State: 63:[19, 7, 28], Operations: ['77-49=28']
Exploring Operation: 28-19=9, Resulting Numbers: [7, 9]
Generated Node #3: [7, 9] from Operation: 28-19=9
Current State: 63:[7, 9], Operations: ['77-49=28', '28-19=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
42,
50,
88,
35
] | 61 | [
"50-42=8",
"88-35=53",
"8+53=61"
] | Current State: 61:[42, 50, 88, 35], Operations: []
Exploring Operation: 50-42=8, Resulting Numbers: [88, 35, 8]
Generated Node #2: [88, 35, 8] from Operation: 50-42=8
Current State: 61:[88, 35, 8], Operations: ['50-42=8']
Exploring Operation: 88-35=53, Resulting Numbers: [8, 53]
Generated Node #3: [8, 53] from Operation: 88-35=53
Current State: 61:[8, 53], Operations: ['50-42=8', '88-35=53']
Exploring Operation: 8+53=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
29,
59,
57,
24
] | 10 | [
"29-24=5",
"59-57=2",
"5*2=10"
] | Current State: 10:[29, 59, 57, 24], Operations: []
Exploring Operation: 29-24=5, Resulting Numbers: [59, 57, 5]
Generated Node #2: [59, 57, 5] from Operation: 29-24=5
Current State: 10:[59, 57, 5], Operations: ['29-24=5']
Exploring Operation: 59-57=2, Resulting Numbers: [5, 2]
Generated Node #3: [5, 2] from Operation: 59-57=2
Current State: 10:[5, 2], Operations: ['29-24=5', '59-57=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
2,
92,
54,
61
] | 39 | [
"92/2=46",
"61-54=7",
"46-7=39"
] | Current State: 39:[2, 92, 54, 61], Operations: []
Exploring Operation: 92/2=46, Resulting Numbers: [54, 61, 46]
Generated Node #2: [54, 61, 46] from Operation: 92/2=46
Current State: 39:[54, 61, 46], Operations: ['92/2=46']
Exploring Operation: 61-54=7, Resulting Numbers: [46, 7]
Generated Node #3: [46, 7] from Operation: 61-54=7
Current State: 39:[46, 7], Operations: ['92/2=46', '61-54=7']
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
26,
26,
7,
79
] | 72 | [
"26-26=0",
"79-7=72",
"0+72=72"
] | Current State: 72:[26, 26, 7, 79], Operations: []
Exploring Operation: 26-26=0, Resulting Numbers: [7, 79, 0]
Generated Node #2: [7, 79, 0] from Operation: 26-26=0
Current State: 72:[7, 79, 0], Operations: ['26-26=0']
Exploring Operation: 79-7=72, Resulting Numbers: [0, 72]
Generated Node #3: [0, 72] from Operation: 79-7=72
Current State: 72:[0, 72], Operations: ['26-26=0', '79-7=72']
Exploring Operation: 0+72=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
35,
18,
75,
73
] | 26 | [
"75-73=2",
"18/2=9",
"35-9=26"
] | Current State: 26:[35, 18, 75, 73], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [35, 18, 2]
Generated Node #2: [35, 18, 2] from Operation: 75-73=2
Current State: 26:[35, 18, 2], Operations: ['75-73=2']
Exploring Operation: 18/2=9, Resulting Numbers: [35, 9]
Generated Node #3: [35, 9] from Operation: 18/2=9
Current State: 26:[35, 9], Operations: ['75-73=2', '18/2=9']
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
80,
21,
7,
3
] | 88 | [
"21+3=24",
"7*24=168",
"168-80=88"
] | Current State: 88:[80, 21, 7, 3], Operations: []
Exploring Operation: 21+3=24, Resulting Numbers: [80, 7, 24]
Generated Node #2: [80, 7, 24] from Operation: 21+3=24
Current State: 88:[80, 7, 24], Operations: ['21+3=24']
Exploring Operation: 7*24=168, Resulting Numbers: [80, 168]
Generated Node #3: [80, 168] from Operation: 7*24=168
Current State: 88:[80, 168], Operations: ['21+3=24', '7*24=168']
Exploring Operation: 168-80=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
76,
24,
88,
77
] | 75 | [
"88-76=12",
"24/12=2",
"77-2=75"
] | Current State: 75:[76, 24, 88, 77], Operations: []
Exploring Operation: 88-76=12, Resulting Numbers: [24, 77, 12]
Generated Node #2: [24, 77, 12] from Operation: 88-76=12
Current State: 75:[24, 77, 12], Operations: ['88-76=12']
Exploring Operation: 24/12=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 24/12=2
Current State: 75:[77, 2], Operations: ['88-76=12', '24/12=2']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
60,
25,
28,
96
] | 89 | [
"60-25=35",
"28+96=124",
"124-35=89"
] | Current State: 89:[60, 25, 28, 96], Operations: []
Exploring Operation: 60-25=35, Resulting Numbers: [28, 96, 35]
Generated Node #2: [28, 96, 35] from Operation: 60-25=35
Current State: 89:[28, 96, 35], Operations: ['60-25=35']
Exploring Operation: 28+96=124, Resulting Numbers: [35, 124]
Generated Node #3: [35, 124] from Operation: 28+96=124
Current State: 89:[35, 124], Operations: ['60-25=35', '28+96=124']
Exploring Operation: 124-35=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
45,
26,
30,
52
] | 15 | [
"52/26=2",
"30*2=60",
"60-45=15"
] | Current State: 15:[45, 26, 30, 52], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [45, 30, 2]
Generated Node #2: [45, 30, 2] from Operation: 52/26=2
Current State: 15:[45, 30, 2], Operations: ['52/26=2']
Exploring Operation: 30*2=60, Resulting Numbers: [45, 60]
Generated Node #3: [45, 60] from Operation: 30*2=60
Current State: 15:[45, 60], Operations: ['52/26=2', '30*2=60']
Exploring Operation: 60-45=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
38,
8,
19,
76
] | 87 | [
"38-8=30",
"76-19=57",
"30+57=87"
] | Current State: 87:[38, 8, 19, 76], Operations: []
Exploring Operation: 38-8=30, Resulting Numbers: [19, 76, 30]
Generated Node #2: [19, 76, 30] from Operation: 38-8=30
Current State: 87:[19, 76, 30], Operations: ['38-8=30']
Exploring Operation: 76-19=57, Resulting Numbers: [30, 57]
Generated Node #3: [30, 57] from Operation: 76-19=57
Current State: 87:[30, 57], Operations: ['38-8=30', '76-19=57']
Exploring Operation: 30+57=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
2,
39,
31,
21
] | 93 | [
"2+39=41",
"31+21=52",
"41+52=93"
] | Current State: 93:[2, 39, 31, 21], Operations: []
Exploring Operation: 2+39=41, Resulting Numbers: [31, 21, 41]
Generated Node #2: [31, 21, 41] from Operation: 2+39=41
Current State: 93:[31, 21, 41], Operations: ['2+39=41']
Exploring Operation: 31+21=52, Resulting Numbers: [41, 52]
Generated Node #3: [41, 52] from Operation: 31+21=52
Current State: 93:[41, 52], Operations: ['2+39=41', '31+21=52']
Exploring Operation: 41+52=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
9,
79,
43,
32
] | 13 | [
"9+79=88",
"43+32=75",
"88-75=13"
] | Current State: 13:[9, 79, 43, 32], Operations: []
Exploring Operation: 9+79=88, Resulting Numbers: [43, 32, 88]
Generated Node #2: [43, 32, 88] from Operation: 9+79=88
Current State: 13:[43, 32, 88], Operations: ['9+79=88']
Exploring Operation: 43+32=75, Resulting Numbers: [88, 75]
Generated Node #3: [88, 75] from Operation: 43+32=75
Current State: 13:[88, 75], Operations: ['9+79=88', '43+32=75']
Exploring Operation: 88-75=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
75,
58,
51,
13
] | 95 | [
"75+58=133",
"51-13=38",
"133-38=95"
] | Current State: 95:[75, 58, 51, 13], Operations: []
Exploring Operation: 75+58=133, Resulting Numbers: [51, 13, 133]
Generated Node #2: [51, 13, 133] from Operation: 75+58=133
Current State: 95:[51, 13, 133], Operations: ['75+58=133']
Exploring Operation: 51-13=38, Resulting Numbers: [133, 38]
Generated Node #3: [133, 38] from Operation: 51-13=38
Current State: 95:[133, 38], Operations: ['75+58=133', '51-13=38']
Exploring Operation: 133-38=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
17,
35,
76,
39
] | 73 | [
"17*76=1292",
"35*39=1365",
"1365-1292=73"
] | Current State: 73:[17, 35, 76, 39], Operations: []
Exploring Operation: 17*76=1292, Resulting Numbers: [35, 39, 1292]
Generated Node #2: [35, 39, 1292] from Operation: 17*76=1292
Current State: 73:[35, 39, 1292], Operations: ['17*76=1292']
Exploring Operation: 35*39=1365, Resulting Numbers: [1292, 1365]
Generated Node #3: [1292, 1365] from Operation: 35*39=1365
Current State: 73:[1292, 1365], Operations: ['17*76=1292', '35*39=1365']
Exploring Operation: 1365-1292=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
96,
11,
2,
74
] | 35 | [
"96+11=107",
"74-2=72",
"107-72=35"
] | Current State: 35:[96, 11, 2, 74], Operations: []
Exploring Operation: 96+11=107, Resulting Numbers: [2, 74, 107]
Generated Node #2: [2, 74, 107] from Operation: 96+11=107
Current State: 35:[2, 74, 107], Operations: ['96+11=107']
Exploring Operation: 74-2=72, Resulting Numbers: [107, 72]
Generated Node #3: [107, 72] from Operation: 74-2=72
Current State: 35:[107, 72], Operations: ['96+11=107', '74-2=72']
Exploring Operation: 107-72=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
29,
73,
16,
7
] | 34 | [
"73+7=80",
"80/16=5",
"29+5=34"
] | Current State: 34:[29, 73, 16, 7], Operations: []
Exploring Operation: 73+7=80, Resulting Numbers: [29, 16, 80]
Generated Node #2: [29, 16, 80] from Operation: 73+7=80
Current State: 34:[29, 16, 80], Operations: ['73+7=80']
Exploring Operation: 80/16=5, Resulting Numbers: [29, 5]
Generated Node #3: [29, 5] from Operation: 80/16=5
Current State: 34:[29, 5], Operations: ['73+7=80', '80/16=5']
Exploring Operation: 29+5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
77,
96,
43,
12
] | 50 | [
"96-77=19",
"43-12=31",
"19+31=50"
] | Current State: 50:[77, 96, 43, 12], Operations: []
Exploring Operation: 96-77=19, Resulting Numbers: [43, 12, 19]
Generated Node #2: [43, 12, 19] from Operation: 96-77=19
Current State: 50:[43, 12, 19], Operations: ['96-77=19']
Exploring Operation: 43-12=31, Resulting Numbers: [19, 31]
Generated Node #3: [19, 31] from Operation: 43-12=31
Current State: 50:[19, 31], Operations: ['96-77=19', '43-12=31']
Exploring Operation: 19+31=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
80,
23,
14,
1
] | 88 | [
"80+23=103",
"14+1=15",
"103-15=88"
] | Current State: 88:[80, 23, 14, 1], Operations: []
Exploring Operation: 80+23=103, Resulting Numbers: [14, 1, 103]
Generated Node #2: [14, 1, 103] from Operation: 80+23=103
Current State: 88:[14, 1, 103], Operations: ['80+23=103']
Exploring Operation: 14+1=15, Resulting Numbers: [103, 15]
Generated Node #3: [103, 15] from Operation: 14+1=15
Current State: 88:[103, 15], Operations: ['80+23=103', '14+1=15']
Exploring Operation: 103-15=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
89,
63,
66,
34
] | 41 | [
"89+34=123",
"66-63=3",
"123/3=41"
] | Current State: 41:[89, 63, 66, 34], Operations: []
Exploring Operation: 89+34=123, Resulting Numbers: [63, 66, 123]
Generated Node #2: [63, 66, 123] from Operation: 89+34=123
Current State: 41:[63, 66, 123], Operations: ['89+34=123']
Exploring Operation: 66-63=3, Resulting Numbers: [123, 3]
Generated Node #3: [123, 3] from Operation: 66-63=3
Current State: 41:[123, 3], Operations: ['89+34=123', '66-63=3']
Exploring Operation: 123/3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
52,
72,
18,
50
] | 88 | [
"72-52=20",
"18+50=68",
"20+68=88"
] | Current State: 88:[52, 72, 18, 50], Operations: []
Exploring Operation: 72-52=20, Resulting Numbers: [18, 50, 20]
Generated Node #2: [18, 50, 20] from Operation: 72-52=20
Current State: 88:[18, 50, 20], Operations: ['72-52=20']
Exploring Operation: 18+50=68, Resulting Numbers: [20, 68]
Generated Node #3: [20, 68] from Operation: 18+50=68
Current State: 88:[20, 68], Operations: ['72-52=20', '18+50=68']
Exploring Operation: 20+68=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
95,
2,
30,
69
] | 43 | [
"95-69=26",
"26/2=13",
"30+13=43"
] | Current State: 43:[95, 2, 30, 69], Operations: []
Exploring Operation: 95-69=26, Resulting Numbers: [2, 30, 26]
Generated Node #2: [2, 30, 26] from Operation: 95-69=26
Current State: 43:[2, 30, 26], Operations: ['95-69=26']
Exploring Operation: 26/2=13, Resulting Numbers: [30, 13]
Generated Node #3: [30, 13] from Operation: 26/2=13
Current State: 43:[30, 13], Operations: ['95-69=26', '26/2=13']
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
25,
64,
26,
66
] | 59 | [
"25*64=1600",
"1600-66=1534",
"1534/26=59"
] | Current State: 59:[25, 64, 26, 66], Operations: []
Exploring Operation: 25*64=1600, Resulting Numbers: [26, 66, 1600]
Generated Node #2: [26, 66, 1600] from Operation: 25*64=1600
Current State: 59:[26, 66, 1600], Operations: ['25*64=1600']
Exploring Operation: 1600-66=1534, Resulting Numbers: [26, 1534]
Generated Node #3: [26, 1534] from Operation: 1600-66=1534
Current State: 59:[26, 1534], Operations: ['25*64=1600', '1600-66=1534']
Exploring Operation: 1534/26=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
85,
28,
41,
89
] | 73 | [
"85-28=57",
"41+89=130",
"130-57=73"
] | Current State: 73:[85, 28, 41, 89], Operations: []
Exploring Operation: 85-28=57, Resulting Numbers: [41, 89, 57]
Generated Node #2: [41, 89, 57] from Operation: 85-28=57
Current State: 73:[41, 89, 57], Operations: ['85-28=57']
Exploring Operation: 41+89=130, Resulting Numbers: [57, 130]
Generated Node #3: [57, 130] from Operation: 41+89=130
Current State: 73:[57, 130], Operations: ['85-28=57', '41+89=130']
Exploring Operation: 130-57=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
97,
50,
94,
51
] | 56 | [
"97*50=4850",
"94*51=4794",
"4850-4794=56"
] | Current State: 56:[97, 50, 94, 51], Operations: []
Exploring Operation: 97*50=4850, Resulting Numbers: [94, 51, 4850]
Generated Node #2: [94, 51, 4850] from Operation: 97*50=4850
Current State: 56:[94, 51, 4850], Operations: ['97*50=4850']
Exploring Operation: 94*51=4794, Resulting Numbers: [4850, 4794]
Generated Node #3: [4850, 4794] from Operation: 94*51=4794
Current State: 56:[4850, 4794], Operations: ['97*50=4850', '94*51=4794']
Exploring Operation: 4850-4794=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
16,
1,
50,
30
] | 36 | [
"16*1=16",
"50-30=20",
"16+20=36"
] | Current State: 36:[16, 1, 50, 30], Operations: []
Exploring Operation: 16*1=16, Resulting Numbers: [50, 30, 16]
Generated Node #2: [50, 30, 16] from Operation: 16*1=16
Current State: 36:[50, 30, 16], Operations: ['16*1=16']
Exploring Operation: 50-30=20, Resulting Numbers: [16, 20]
Generated Node #3: [16, 20] from Operation: 50-30=20
Current State: 36:[16, 20], Operations: ['16*1=16', '50-30=20']
Exploring Operation: 16+20=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
47,
27,
80,
94
] | 67 | [
"47*80=3760",
"3760/94=40",
"27+40=67"
] | Current State: 67:[47, 27, 80, 94], Operations: []
Exploring Operation: 47*80=3760, Resulting Numbers: [27, 94, 3760]
Generated Node #2: [27, 94, 3760] from Operation: 47*80=3760
Current State: 67:[27, 94, 3760], Operations: ['47*80=3760']
Exploring Operation: 3760/94=40, Resulting Numbers: [27, 40]
Generated Node #3: [27, 40] from Operation: 3760/94=40
Current State: 67:[27, 40], Operations: ['47*80=3760', '3760/94=40']
Exploring Operation: 27+40=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
95,
11,
61,
4
] | 41 | [
"95+11=106",
"61+4=65",
"106-65=41"
] | Current State: 41:[95, 11, 61, 4], Operations: []
Exploring Operation: 95+11=106, Resulting Numbers: [61, 4, 106]
Generated Node #2: [61, 4, 106] from Operation: 95+11=106
Current State: 41:[61, 4, 106], Operations: ['95+11=106']
Exploring Operation: 61+4=65, Resulting Numbers: [106, 65]
Generated Node #3: [106, 65] from Operation: 61+4=65
Current State: 41:[106, 65], Operations: ['95+11=106', '61+4=65']
Exploring Operation: 106-65=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
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