nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
74,
60,
64,
18
] | 68 | [
"74-60=14",
"64+18=82",
"82-14=68"
] | Current State: 68:[74, 60, 64, 18], Operations: []
Exploring Operation: 74-60=14, Resulting Numbers: [64, 18, 14]
Generated Node #2: [64, 18, 14] from Operation: 74-60=14
Current State: 68:[64, 18, 14], Operations: ['74-60=14']
Exploring Operation: 64+18=82, Resulting Numbers: [14, 82]
Generated Node #3: [14, 82] from Operation: 64+18=82
Current State: 68:[14, 82], Operations: ['74-60=14', '64+18=82']
Exploring Operation: 82-14=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
54,
53,
11,
17
] | 80 | [
"54+53=107",
"11*17=187",
"187-107=80"
] | Current State: 80:[54, 53, 11, 17], Operations: []
Exploring Operation: 54+53=107, Resulting Numbers: [11, 17, 107]
Generated Node #2: [11, 17, 107] from Operation: 54+53=107
Current State: 80:[11, 17, 107], Operations: ['54+53=107']
Exploring Operation: 11*17=187, Resulting Numbers: [107, 187]
Generated Node #3: [107, 187] from Operation: 11*17=187
Current State: 80:[107, 187], Operations: ['54+53=107', '11*17=187']
Exploring Operation: 187-107=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
42,
72,
31,
30
] | 91 | [
"72-42=30",
"31+30=61",
"30+61=91"
] | Current State: 91:[42, 72, 31, 30], Operations: []
Exploring Operation: 72-42=30, Resulting Numbers: [31, 30, 30]
Generated Node #2: [31, 30, 30] from Operation: 72-42=30
Current State: 91:[31, 30, 30], Operations: ['72-42=30']
Exploring Operation: 31+30=61, Resulting Numbers: [61]
61,91 equal: Goal Reached
Exploring Operation: 30+61=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
27,
99,
15,
8
] | 79 | [
"99-27=72",
"15-8=7",
"72+7=79"
] | Current State: 79:[27, 99, 15, 8], Operations: []
Exploring Operation: 99-27=72, Resulting Numbers: [15, 8, 72]
Generated Node #2: [15, 8, 72] from Operation: 99-27=72
Current State: 79:[15, 8, 72], Operations: ['99-27=72']
Exploring Operation: 15-8=7, Resulting Numbers: [72, 7]
Generated Node #3: [72, 7] from Operation: 15-8=7
Current State: 79:[72, 7], Operations: ['99-27=72', '15-8=7']
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
84,
40,
32,
21
] | 33 | [
"84-40=44",
"32-21=11",
"44-11=33"
] | Current State: 33:[84, 40, 32, 21], Operations: []
Exploring Operation: 84-40=44, Resulting Numbers: [32, 21, 44]
Generated Node #2: [32, 21, 44] from Operation: 84-40=44
Current State: 33:[32, 21, 44], Operations: ['84-40=44']
Exploring Operation: 32-21=11, Resulting Numbers: [44, 11]
Generated Node #3: [44, 11] from Operation: 32-21=11
Current State: 33:[44, 11], Operations: ['84-40=44', '32-21=11']
Exploring Operation: 44-11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
42,
75,
20,
49
] | 48 | [
"42+75=117",
"20+49=69",
"117-69=48"
] | Current State: 48:[42, 75, 20, 49], Operations: []
Exploring Operation: 42+75=117, Resulting Numbers: [20, 49, 117]
Generated Node #2: [20, 49, 117] from Operation: 42+75=117
Current State: 48:[20, 49, 117], Operations: ['42+75=117']
Exploring Operation: 20+49=69, Resulting Numbers: [117, 69]
Generated Node #3: [117, 69] from Operation: 20+49=69
Current State: 48:[117, 69], Operations: ['42+75=117', '20+49=69']
Exploring Operation: 117-69=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
10,
55,
35,
51
] | 81 | [
"10+55=65",
"51-35=16",
"65+16=81"
] | Current State: 81:[10, 55, 35, 51], Operations: []
Exploring Operation: 10+55=65, Resulting Numbers: [35, 51, 65]
Generated Node #2: [35, 51, 65] from Operation: 10+55=65
Current State: 81:[35, 51, 65], Operations: ['10+55=65']
Exploring Operation: 51-35=16, Resulting Numbers: [65, 16]
Generated Node #3: [65, 16] from Operation: 51-35=16
Current State: 81:[65, 16], Operations: ['10+55=65', '51-35=16']
Exploring Operation: 65+16=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
55,
4,
41,
15
] | 25 | [
"55-4=51",
"41-15=26",
"51-26=25"
] | Current State: 25:[55, 4, 41, 15], Operations: []
Exploring Operation: 55-4=51, Resulting Numbers: [41, 15, 51]
Generated Node #2: [41, 15, 51] from Operation: 55-4=51
Current State: 25:[41, 15, 51], Operations: ['55-4=51']
Exploring Operation: 41-15=26, Resulting Numbers: [51, 26]
Generated Node #3: [51, 26] from Operation: 41-15=26
Current State: 25:[51, 26], Operations: ['55-4=51', '41-15=26']
Exploring Operation: 51-26=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
42,
21,
11,
2
] | 94 | [
"42*2=84",
"21-11=10",
"84+10=94"
] | Current State: 94:[42, 21, 11, 2], Operations: []
Exploring Operation: 42*2=84, Resulting Numbers: [21, 11, 84]
Generated Node #2: [21, 11, 84] from Operation: 42*2=84
Current State: 94:[21, 11, 84], Operations: ['42*2=84']
Exploring Operation: 21-11=10, Resulting Numbers: [84, 10]
Generated Node #3: [84, 10] from Operation: 21-11=10
Current State: 94:[84, 10], Operations: ['42*2=84', '21-11=10']
Exploring Operation: 84+10=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
6,
27,
22,
56
] | 69 | [
"27*56=1512",
"6+1512=1518",
"1518/22=69"
] | Current State: 69:[6, 27, 22, 56], Operations: []
Exploring Operation: 27*56=1512, Resulting Numbers: [6, 22, 1512]
Generated Node #2: [6, 22, 1512] from Operation: 27*56=1512
Current State: 69:[6, 22, 1512], Operations: ['27*56=1512']
Exploring Operation: 6+1512=1518, Resulting Numbers: [22, 1518]
Generated Node #3: [22, 1518] from Operation: 6+1512=1518
Current State: 69:[22, 1518], Operations: ['27*56=1512', '6+1512=1518']
Exploring Operation: 1518/22=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
39,
37,
63,
9
] | 27 | [
"39-37=2",
"63-9=54",
"54/2=27"
] | Current State: 27:[39, 37, 63, 9], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [63, 9, 2]
Generated Node #2: [63, 9, 2] from Operation: 39-37=2
Current State: 27:[63, 9, 2], Operations: ['39-37=2']
Exploring Operation: 63-9=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 63-9=54
Current State: 27:[2, 54], Operations: ['39-37=2', '63-9=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
57,
40,
59,
16
] | 92 | [
"57-40=17",
"59+16=75",
"17+75=92"
] | Current State: 92:[57, 40, 59, 16], Operations: []
Exploring Operation: 57-40=17, Resulting Numbers: [59, 16, 17]
Generated Node #2: [59, 16, 17] from Operation: 57-40=17
Current State: 92:[59, 16, 17], Operations: ['57-40=17']
Exploring Operation: 59+16=75, Resulting Numbers: [17, 75]
Generated Node #3: [17, 75] from Operation: 59+16=75
Current State: 92:[17, 75], Operations: ['57-40=17', '59+16=75']
Exploring Operation: 17+75=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
9,
61,
55,
84
] | 99 | [
"9+61=70",
"84-55=29",
"70+29=99"
] | Current State: 99:[9, 61, 55, 84], Operations: []
Exploring Operation: 9+61=70, Resulting Numbers: [55, 84, 70]
Generated Node #2: [55, 84, 70] from Operation: 9+61=70
Current State: 99:[55, 84, 70], Operations: ['9+61=70']
Exploring Operation: 84-55=29, Resulting Numbers: [70, 29]
Generated Node #3: [70, 29] from Operation: 84-55=29
Current State: 99:[70, 29], Operations: ['9+61=70', '84-55=29']
Exploring Operation: 70+29=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
74,
69,
68,
31
] | 71 | [
"68-31=37",
"74/37=2",
"69+2=71"
] | Current State: 71:[74, 69, 68, 31], Operations: []
Exploring Operation: 68-31=37, Resulting Numbers: [74, 69, 37]
Generated Node #2: [74, 69, 37] from Operation: 68-31=37
Current State: 71:[74, 69, 37], Operations: ['68-31=37']
Exploring Operation: 74/37=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 74/37=2
Current State: 71:[69, 2], Operations: ['68-31=37', '74/37=2']
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
71,
21,
43,
14
] | 23 | [
"71-43=28",
"28/14=2",
"21+2=23"
] | Current State: 23:[71, 21, 43, 14], Operations: []
Exploring Operation: 71-43=28, Resulting Numbers: [21, 14, 28]
Generated Node #2: [21, 14, 28] from Operation: 71-43=28
Current State: 23:[21, 14, 28], Operations: ['71-43=28']
Exploring Operation: 28/14=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 28/14=2
Current State: 23:[21, 2], Operations: ['71-43=28', '28/14=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
35,
85,
9,
94
] | 53 | [
"85-35=50",
"9+94=103",
"103-50=53"
] | Current State: 53:[35, 85, 9, 94], Operations: []
Exploring Operation: 85-35=50, Resulting Numbers: [9, 94, 50]
Generated Node #2: [9, 94, 50] from Operation: 85-35=50
Current State: 53:[9, 94, 50], Operations: ['85-35=50']
Exploring Operation: 9+94=103, Resulting Numbers: [50, 103]
Generated Node #3: [50, 103] from Operation: 9+94=103
Current State: 53:[50, 103], Operations: ['85-35=50', '9+94=103']
Exploring Operation: 103-50=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
19,
32,
56,
12
] | 17 | [
"19+32=51",
"56+12=68",
"68-51=17"
] | Current State: 17:[19, 32, 56, 12], Operations: []
Exploring Operation: 19+32=51, Resulting Numbers: [56, 12, 51]
Generated Node #2: [56, 12, 51] from Operation: 19+32=51
Current State: 17:[56, 12, 51], Operations: ['19+32=51']
Exploring Operation: 56+12=68, Resulting Numbers: [51, 68]
Generated Node #3: [51, 68] from Operation: 56+12=68
Current State: 17:[51, 68], Operations: ['19+32=51', '56+12=68']
Exploring Operation: 68-51=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
98,
65,
93,
5
] | 64 | [
"98-93=5",
"5/5=1",
"65-1=64"
] | Current State: 64:[98, 65, 93, 5], Operations: []
Exploring Operation: 98-93=5, Resulting Numbers: [65, 5, 5]
Generated Node #2: [65, 5, 5] from Operation: 98-93=5
Current State: 64:[65, 5, 5], Operations: ['98-93=5']
Exploring Operation: 5/5=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 5/5=1
Current State: 64:[65, 1], Operations: ['98-93=5', '5/5=1']
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
53,
30,
91,
43
] | 94 | [
"53-43=10",
"30/10=3",
"91+3=94"
] | Current State: 94:[53, 30, 91, 43], Operations: []
Exploring Operation: 53-43=10, Resulting Numbers: [30, 91, 10]
Generated Node #2: [30, 91, 10] from Operation: 53-43=10
Current State: 94:[30, 91, 10], Operations: ['53-43=10']
Exploring Operation: 30/10=3, Resulting Numbers: [91, 3]
Generated Node #3: [91, 3] from Operation: 30/10=3
Current State: 94:[91, 3], Operations: ['53-43=10', '30/10=3']
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
20,
62,
40,
95
] | 97 | [
"62-20=42",
"95-40=55",
"42+55=97"
] | Current State: 97:[20, 62, 40, 95], Operations: []
Exploring Operation: 62-20=42, Resulting Numbers: [40, 95, 42]
Generated Node #2: [40, 95, 42] from Operation: 62-20=42
Current State: 97:[40, 95, 42], Operations: ['62-20=42']
Exploring Operation: 95-40=55, Resulting Numbers: [42, 55]
Generated Node #3: [42, 55] from Operation: 95-40=55
Current State: 97:[42, 55], Operations: ['62-20=42', '95-40=55']
Exploring Operation: 42+55=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
35,
86,
51,
31
] | 32 | [
"86-35=51",
"51/51=1",
"31+1=32"
] | Current State: 32:[35, 86, 51, 31], Operations: []
Exploring Operation: 86-35=51, Resulting Numbers: [51, 31, 51]
Generated Node #2: [51, 31, 51] from Operation: 86-35=51
Current State: 32:[51, 31, 51], Operations: ['86-35=51']
Exploring Operation: 51/51=1, Resulting Numbers: [31, 1]
Generated Node #3: [31, 1] from Operation: 51/51=1
Current State: 32:[31, 1], Operations: ['86-35=51', '51/51=1']
Exploring Operation: 31+1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
18,
57,
6,
53
] | 12 | [
"18/6=3",
"57-53=4",
"3*4=12"
] | Current State: 12:[18, 57, 6, 53], Operations: []
Exploring Operation: 18/6=3, Resulting Numbers: [57, 53, 3]
Generated Node #2: [57, 53, 3] from Operation: 18/6=3
Current State: 12:[57, 53, 3], Operations: ['18/6=3']
Exploring Operation: 57-53=4, Resulting Numbers: [3, 4]
Generated Node #3: [3, 4] from Operation: 57-53=4
Current State: 12:[3, 4], Operations: ['18/6=3', '57-53=4']
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
74,
18,
71,
60
] | 38 | [
"74-71=3",
"60/3=20",
"18+20=38"
] | Current State: 38:[74, 18, 71, 60], Operations: []
Exploring Operation: 74-71=3, Resulting Numbers: [18, 60, 3]
Generated Node #2: [18, 60, 3] from Operation: 74-71=3
Current State: 38:[18, 60, 3], Operations: ['74-71=3']
Exploring Operation: 60/3=20, Resulting Numbers: [18, 20]
Generated Node #3: [18, 20] from Operation: 60/3=20
Current State: 38:[18, 20], Operations: ['74-71=3', '60/3=20']
Exploring Operation: 18+20=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
80,
88,
69,
47
] | 55 | [
"80-69=11",
"88/11=8",
"47+8=55"
] | Current State: 55:[80, 88, 69, 47], Operations: []
Exploring Operation: 80-69=11, Resulting Numbers: [88, 47, 11]
Generated Node #2: [88, 47, 11] from Operation: 80-69=11
Current State: 55:[88, 47, 11], Operations: ['80-69=11']
Exploring Operation: 88/11=8, Resulting Numbers: [47, 8]
Generated Node #3: [47, 8] from Operation: 88/11=8
Current State: 55:[47, 8], Operations: ['80-69=11', '88/11=8']
Exploring Operation: 47+8=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
89,
42,
34,
85
] | 12 | [
"89+42=131",
"34+85=119",
"131-119=12"
] | Current State: 12:[89, 42, 34, 85], Operations: []
Exploring Operation: 89+42=131, Resulting Numbers: [34, 85, 131]
Generated Node #2: [34, 85, 131] from Operation: 89+42=131
Current State: 12:[34, 85, 131], Operations: ['89+42=131']
Exploring Operation: 34+85=119, Resulting Numbers: [131, 119]
Generated Node #3: [131, 119] from Operation: 34+85=119
Current State: 12:[131, 119], Operations: ['89+42=131', '34+85=119']
Exploring Operation: 131-119=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
60,
46,
81,
88
] | 21 | [
"60-46=14",
"88-81=7",
"14+7=21"
] | Current State: 21:[60, 46, 81, 88], Operations: []
Exploring Operation: 60-46=14, Resulting Numbers: [81, 88, 14]
Generated Node #2: [81, 88, 14] from Operation: 60-46=14
Current State: 21:[81, 88, 14], Operations: ['60-46=14']
Exploring Operation: 88-81=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 88-81=7
Current State: 21:[14, 7], Operations: ['60-46=14', '88-81=7']
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
30,
24,
91,
83
] | 90 | [
"30*24=720",
"91-83=8",
"720/8=90"
] | Current State: 90:[30, 24, 91, 83], Operations: []
Exploring Operation: 30*24=720, Resulting Numbers: [91, 83, 720]
Generated Node #2: [91, 83, 720] from Operation: 30*24=720
Current State: 90:[91, 83, 720], Operations: ['30*24=720']
Exploring Operation: 91-83=8, Resulting Numbers: [720, 8]
Generated Node #3: [720, 8] from Operation: 91-83=8
Current State: 90:[720, 8], Operations: ['30*24=720', '91-83=8']
Exploring Operation: 720/8=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
24,
52,
1,
25
] | 51 | [
"24+52=76",
"1*25=25",
"76-25=51"
] | Current State: 51:[24, 52, 1, 25], Operations: []
Exploring Operation: 24+52=76, Resulting Numbers: [1, 25, 76]
Generated Node #2: [1, 25, 76] from Operation: 24+52=76
Current State: 51:[1, 25, 76], Operations: ['24+52=76']
Exploring Operation: 1*25=25, Resulting Numbers: [76, 25]
Generated Node #3: [76, 25] from Operation: 1*25=25
Current State: 51:[76, 25], Operations: ['24+52=76', '1*25=25']
Exploring Operation: 76-25=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
14,
52,
32,
70
] | 49 | [
"14*70=980",
"52-32=20",
"980/20=49"
] | Current State: 49:[14, 52, 32, 70], Operations: []
Exploring Operation: 14*70=980, Resulting Numbers: [52, 32, 980]
Generated Node #2: [52, 32, 980] from Operation: 14*70=980
Current State: 49:[52, 32, 980], Operations: ['14*70=980']
Exploring Operation: 52-32=20, Resulting Numbers: [980, 20]
Generated Node #3: [980, 20] from Operation: 52-32=20
Current State: 49:[980, 20], Operations: ['14*70=980', '52-32=20']
Exploring Operation: 980/20=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
77,
32,
43,
68
] | 70 | [
"77-32=45",
"68-43=25",
"45+25=70"
] | Current State: 70:[77, 32, 43, 68], Operations: []
Exploring Operation: 77-32=45, Resulting Numbers: [43, 68, 45]
Generated Node #2: [43, 68, 45] from Operation: 77-32=45
Current State: 70:[43, 68, 45], Operations: ['77-32=45']
Exploring Operation: 68-43=25, Resulting Numbers: [45, 25]
Generated Node #3: [45, 25] from Operation: 68-43=25
Current State: 70:[45, 25], Operations: ['77-32=45', '68-43=25']
Exploring Operation: 45+25=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
16,
92,
56,
36
] | 15 | [
"92-56=36",
"36/36=1",
"16-1=15"
] | Current State: 15:[16, 92, 56, 36], Operations: []
Exploring Operation: 92-56=36, Resulting Numbers: [16, 36, 36]
Generated Node #2: [16, 36, 36] from Operation: 92-56=36
Current State: 15:[16, 36, 36], Operations: ['92-56=36']
Exploring Operation: 36/36=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 36/36=1
Current State: 15:[16, 1], Operations: ['92-56=36', '36/36=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
17,
40,
41,
2
] | 62 | [
"40-17=23",
"41-2=39",
"23+39=62"
] | Current State: 62:[17, 40, 41, 2], Operations: []
Exploring Operation: 40-17=23, Resulting Numbers: [41, 2, 23]
Generated Node #2: [41, 2, 23] from Operation: 40-17=23
Current State: 62:[41, 2, 23], Operations: ['40-17=23']
Exploring Operation: 41-2=39, Resulting Numbers: [23, 39]
Generated Node #3: [23, 39] from Operation: 41-2=39
Current State: 62:[23, 39], Operations: ['40-17=23', '41-2=39']
Exploring Operation: 23+39=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
39,
14,
24,
9
] | 68 | [
"39+14=53",
"24-9=15",
"53+15=68"
] | Current State: 68:[39, 14, 24, 9], Operations: []
Exploring Operation: 39+14=53, Resulting Numbers: [24, 9, 53]
Generated Node #2: [24, 9, 53] from Operation: 39+14=53
Current State: 68:[24, 9, 53], Operations: ['39+14=53']
Exploring Operation: 24-9=15, Resulting Numbers: [53, 15]
Generated Node #3: [53, 15] from Operation: 24-9=15
Current State: 68:[53, 15], Operations: ['39+14=53', '24-9=15']
Exploring Operation: 53+15=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
61,
85,
6,
8
] | 98 | [
"61+85=146",
"6*8=48",
"146-48=98"
] | Current State: 98:[61, 85, 6, 8], Operations: []
Exploring Operation: 61+85=146, Resulting Numbers: [6, 8, 146]
Generated Node #2: [6, 8, 146] from Operation: 61+85=146
Current State: 98:[6, 8, 146], Operations: ['61+85=146']
Exploring Operation: 6*8=48, Resulting Numbers: [146, 48]
Generated Node #3: [146, 48] from Operation: 6*8=48
Current State: 98:[146, 48], Operations: ['61+85=146', '6*8=48']
Exploring Operation: 146-48=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
50,
13,
74,
21
] | 58 | [
"50-13=37",
"74+21=95",
"95-37=58"
] | Current State: 58:[50, 13, 74, 21], Operations: []
Exploring Operation: 50-13=37, Resulting Numbers: [74, 21, 37]
Generated Node #2: [74, 21, 37] from Operation: 50-13=37
Current State: 58:[74, 21, 37], Operations: ['50-13=37']
Exploring Operation: 74+21=95, Resulting Numbers: [37, 95]
Generated Node #3: [37, 95] from Operation: 74+21=95
Current State: 58:[37, 95], Operations: ['50-13=37', '74+21=95']
Exploring Operation: 95-37=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
7,
56,
92,
46
] | 38 | [
"56/7=8",
"92-46=46",
"46-8=38"
] | Current State: 38:[7, 56, 92, 46], Operations: []
Exploring Operation: 56/7=8, Resulting Numbers: [92, 46, 8]
Generated Node #2: [92, 46, 8] from Operation: 56/7=8
Current State: 38:[92, 46, 8], Operations: ['56/7=8']
Exploring Operation: 92-46=46, Resulting Numbers: [8, 46]
Generated Node #3: [8, 46] from Operation: 92-46=46
Current State: 38:[8, 46], Operations: ['56/7=8', '92-46=46']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
6,
36,
2,
40
] | 36 | [
"36/6=6",
"2+40=42",
"42-6=36"
] | Current State: 36:[6, 36, 2, 40], Operations: []
Exploring Operation: 36/6=6, Resulting Numbers: [2, 40, 6]
Generated Node #2: [2, 40, 6] from Operation: 36/6=6
Current State: 36:[2, 40, 6], Operations: ['36/6=6']
Exploring Operation: 2+40=42, Resulting Numbers: [6, 42]
Generated Node #3: [6, 42] from Operation: 2+40=42
Current State: 36:[6, 42], Operations: ['36/6=6', '2+40=42']
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
68,
92,
41,
58
] | 96 | [
"58-41=17",
"68/17=4",
"92+4=96"
] | Current State: 96:[68, 92, 41, 58], Operations: []
Exploring Operation: 58-41=17, Resulting Numbers: [68, 92, 17]
Generated Node #2: [68, 92, 17] from Operation: 58-41=17
Current State: 96:[68, 92, 17], Operations: ['58-41=17']
Exploring Operation: 68/17=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 68/17=4
Current State: 96:[92, 4], Operations: ['58-41=17', '68/17=4']
Exploring Operation: 92+4=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
87,
78,
52,
42
] | 100 | [
"87*52=4524",
"4524/78=58",
"42+58=100"
] | Current State: 100:[87, 78, 52, 42], Operations: []
Exploring Operation: 87*52=4524, Resulting Numbers: [78, 42, 4524]
Generated Node #2: [78, 42, 4524] from Operation: 87*52=4524
Current State: 100:[78, 42, 4524], Operations: ['87*52=4524']
Exploring Operation: 4524/78=58, Resulting Numbers: [42, 58]
Generated Node #3: [42, 58] from Operation: 4524/78=58
Current State: 100:[42, 58], Operations: ['87*52=4524', '4524/78=58']
Exploring Operation: 42+58=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
32,
86,
1,
25
] | 79 | [
"86-32=54",
"1*25=25",
"54+25=79"
] | Current State: 79:[32, 86, 1, 25], Operations: []
Exploring Operation: 86-32=54, Resulting Numbers: [1, 25, 54]
Generated Node #2: [1, 25, 54] from Operation: 86-32=54
Current State: 79:[1, 25, 54], Operations: ['86-32=54']
Exploring Operation: 1*25=25, Resulting Numbers: [54, 25]
Generated Node #3: [54, 25] from Operation: 1*25=25
Current State: 79:[54, 25], Operations: ['86-32=54', '1*25=25']
Exploring Operation: 54+25=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
10,
43,
33,
34
] | 32 | [
"43-10=33",
"34-33=1",
"33-1=32"
] | Current State: 32:[10, 43, 33, 34], Operations: []
Exploring Operation: 43-10=33, Resulting Numbers: [33, 34, 33]
Generated Node #2: [33, 34, 33] from Operation: 43-10=33
Current State: 32:[33, 34, 33], Operations: ['43-10=33']
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,32 equal: Goal Reached
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
95,
93,
86,
3
] | 98 | [
"95+86=181",
"93*3=279",
"279-181=98"
] | Current State: 98:[95, 93, 86, 3], Operations: []
Exploring Operation: 95+86=181, Resulting Numbers: [93, 3, 181]
Generated Node #2: [93, 3, 181] from Operation: 95+86=181
Current State: 98:[93, 3, 181], Operations: ['95+86=181']
Exploring Operation: 93*3=279, Resulting Numbers: [181, 279]
Generated Node #3: [181, 279] from Operation: 93*3=279
Current State: 98:[181, 279], Operations: ['95+86=181', '93*3=279']
Exploring Operation: 279-181=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
97,
94,
35,
32
] | 61 | [
"97-94=3",
"32*3=96",
"96-35=61"
] | Current State: 61:[97, 94, 35, 32], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [35, 32, 3]
Generated Node #2: [35, 32, 3] from Operation: 97-94=3
Current State: 61:[35, 32, 3], Operations: ['97-94=3']
Exploring Operation: 32*3=96, Resulting Numbers: [35, 96]
Generated Node #3: [35, 96] from Operation: 32*3=96
Current State: 61:[35, 96], Operations: ['97-94=3', '32*3=96']
Exploring Operation: 96-35=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
7,
91,
52,
45
] | 77 | [
"91-7=84",
"52-45=7",
"84-7=77"
] | Current State: 77:[7, 91, 52, 45], Operations: []
Exploring Operation: 91-7=84, Resulting Numbers: [52, 45, 84]
Generated Node #2: [52, 45, 84] from Operation: 91-7=84
Current State: 77:[52, 45, 84], Operations: ['91-7=84']
Exploring Operation: 52-45=7, Resulting Numbers: [84, 7]
Generated Node #3: [84, 7] from Operation: 52-45=7
Current State: 77:[84, 7], Operations: ['91-7=84', '52-45=7']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
29,
38,
16,
24
] | 72 | [
"38-29=9",
"24-16=8",
"9*8=72"
] | Current State: 72:[29, 38, 16, 24], Operations: []
Exploring Operation: 38-29=9, Resulting Numbers: [16, 24, 9]
Generated Node #2: [16, 24, 9] from Operation: 38-29=9
Current State: 72:[16, 24, 9], Operations: ['38-29=9']
Exploring Operation: 24-16=8, Resulting Numbers: [9, 8]
Generated Node #3: [9, 8] from Operation: 24-16=8
Current State: 72:[9, 8], Operations: ['38-29=9', '24-16=8']
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
4,
9,
32,
61
] | 61 | [
"32/4=8",
"9-8=1",
"61*1=61"
] | Current State: 61:[4, 9, 32, 61], Operations: []
Exploring Operation: 32/4=8, Resulting Numbers: [9, 61, 8]
Generated Node #2: [9, 61, 8] from Operation: 32/4=8
Current State: 61:[9, 61, 8], Operations: ['32/4=8']
Exploring Operation: 9-8=1, Resulting Numbers: [61, 1]
Generated Node #3: [61, 1] from Operation: 9-8=1
Current State: 61:[61, 1], Operations: ['32/4=8', '9-8=1']
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
5,
23,
21,
88
] | 39 | [
"5+23=28",
"88-21=67",
"67-28=39"
] | Current State: 39:[5, 23, 21, 88], Operations: []
Exploring Operation: 5+23=28, Resulting Numbers: [21, 88, 28]
Generated Node #2: [21, 88, 28] from Operation: 5+23=28
Current State: 39:[21, 88, 28], Operations: ['5+23=28']
Exploring Operation: 88-21=67, Resulting Numbers: [28, 67]
Generated Node #3: [28, 67] from Operation: 88-21=67
Current State: 39:[28, 67], Operations: ['5+23=28', '88-21=67']
Exploring Operation: 67-28=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
66,
5,
74,
43
] | 71 | [
"66+74=140",
"140/5=28",
"43+28=71"
] | Current State: 71:[66, 5, 74, 43], Operations: []
Exploring Operation: 66+74=140, Resulting Numbers: [5, 43, 140]
Generated Node #2: [5, 43, 140] from Operation: 66+74=140
Current State: 71:[5, 43, 140], Operations: ['66+74=140']
Exploring Operation: 140/5=28, Resulting Numbers: [43, 28]
Generated Node #3: [43, 28] from Operation: 140/5=28
Current State: 71:[43, 28], Operations: ['66+74=140', '140/5=28']
Exploring Operation: 43+28=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
27,
31,
25,
29
] | 16 | [
"31-27=4",
"29-25=4",
"4*4=16"
] | Current State: 16:[27, 31, 25, 29], Operations: []
Exploring Operation: 31-27=4, Resulting Numbers: [25, 29, 4]
Generated Node #2: [25, 29, 4] from Operation: 31-27=4
Current State: 16:[25, 29, 4], Operations: ['31-27=4']
Exploring Operation: 29-25=4, Resulting Numbers: [4, 4]
Generated Node #3: [4, 4] from Operation: 29-25=4
Current State: 16:[4, 4], Operations: ['31-27=4', '29-25=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
34,
15,
60,
81
] | 92 | [
"34+15=49",
"60+81=141",
"141-49=92"
] | Current State: 92:[34, 15, 60, 81], Operations: []
Exploring Operation: 34+15=49, Resulting Numbers: [60, 81, 49]
Generated Node #2: [60, 81, 49] from Operation: 34+15=49
Current State: 92:[60, 81, 49], Operations: ['34+15=49']
Exploring Operation: 60+81=141, Resulting Numbers: [49, 141]
Generated Node #3: [49, 141] from Operation: 60+81=141
Current State: 92:[49, 141], Operations: ['34+15=49', '60+81=141']
Exploring Operation: 141-49=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
17,
37,
13,
2
] | 20 | [
"37+2=39",
"39/13=3",
"17+3=20"
] | Current State: 20:[17, 37, 13, 2], Operations: []
Exploring Operation: 37+2=39, Resulting Numbers: [17, 13, 39]
Generated Node #2: [17, 13, 39] from Operation: 37+2=39
Current State: 20:[17, 13, 39], Operations: ['37+2=39']
Exploring Operation: 39/13=3, Resulting Numbers: [17, 3]
Generated Node #3: [17, 3] from Operation: 39/13=3
Current State: 20:[17, 3], Operations: ['37+2=39', '39/13=3']
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
60,
69,
55,
15
] | 49 | [
"69-60=9",
"55-15=40",
"9+40=49"
] | Current State: 49:[60, 69, 55, 15], Operations: []
Exploring Operation: 69-60=9, Resulting Numbers: [55, 15, 9]
Generated Node #2: [55, 15, 9] from Operation: 69-60=9
Current State: 49:[55, 15, 9], Operations: ['69-60=9']
Exploring Operation: 55-15=40, Resulting Numbers: [9, 40]
Generated Node #3: [9, 40] from Operation: 55-15=40
Current State: 49:[9, 40], Operations: ['69-60=9', '55-15=40']
Exploring Operation: 9+40=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
37,
89,
5,
62
] | 98 | [
"89-62=27",
"5*27=135",
"135-37=98"
] | Current State: 98:[37, 89, 5, 62], Operations: []
Exploring Operation: 89-62=27, Resulting Numbers: [37, 5, 27]
Generated Node #2: [37, 5, 27] from Operation: 89-62=27
Current State: 98:[37, 5, 27], Operations: ['89-62=27']
Exploring Operation: 5*27=135, Resulting Numbers: [37, 135]
Generated Node #3: [37, 135] from Operation: 5*27=135
Current State: 98:[37, 135], Operations: ['89-62=27', '5*27=135']
Exploring Operation: 135-37=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
99,
10,
55,
25
] | 35 | [
"99*25=2475",
"2475/55=45",
"45-10=35"
] | Current State: 35:[99, 10, 55, 25], Operations: []
Exploring Operation: 99*25=2475, Resulting Numbers: [10, 55, 2475]
Generated Node #2: [10, 55, 2475] from Operation: 99*25=2475
Current State: 35:[10, 55, 2475], Operations: ['99*25=2475']
Exploring Operation: 2475/55=45, Resulting Numbers: [10, 45]
Generated Node #3: [10, 45] from Operation: 2475/55=45
Current State: 35:[10, 45], Operations: ['99*25=2475', '2475/55=45']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
8,
24,
29,
65
] | 33 | [
"24/8=3",
"65-29=36",
"36-3=33"
] | Current State: 33:[8, 24, 29, 65], Operations: []
Exploring Operation: 24/8=3, Resulting Numbers: [29, 65, 3]
Generated Node #2: [29, 65, 3] from Operation: 24/8=3
Current State: 33:[29, 65, 3], Operations: ['24/8=3']
Exploring Operation: 65-29=36, Resulting Numbers: [3, 36]
Generated Node #3: [3, 36] from Operation: 65-29=36
Current State: 33:[3, 36], Operations: ['24/8=3', '65-29=36']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
9,
33,
21,
2
] | 65 | [
"9+33=42",
"21+2=23",
"42+23=65"
] | Current State: 65:[9, 33, 21, 2], Operations: []
Exploring Operation: 9+33=42, Resulting Numbers: [21, 2, 42]
Generated Node #2: [21, 2, 42] from Operation: 9+33=42
Current State: 65:[21, 2, 42], Operations: ['9+33=42']
Exploring Operation: 21+2=23, Resulting Numbers: [42, 23]
Generated Node #3: [42, 23] from Operation: 21+2=23
Current State: 65:[42, 23], Operations: ['9+33=42', '21+2=23']
Exploring Operation: 42+23=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
90,
45,
49,
28
] | 23 | [
"90/45=2",
"49-28=21",
"2+21=23"
] | Current State: 23:[90, 45, 49, 28], Operations: []
Exploring Operation: 90/45=2, Resulting Numbers: [49, 28, 2]
Generated Node #2: [49, 28, 2] from Operation: 90/45=2
Current State: 23:[49, 28, 2], Operations: ['90/45=2']
Exploring Operation: 49-28=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 49-28=21
Current State: 23:[2, 21], Operations: ['90/45=2', '49-28=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
74,
86,
99,
72
] | 11 | [
"74+86=160",
"99+72=171",
"171-160=11"
] | Current State: 11:[74, 86, 99, 72], Operations: []
Exploring Operation: 74+86=160, Resulting Numbers: [99, 72, 160]
Generated Node #2: [99, 72, 160] from Operation: 74+86=160
Current State: 11:[99, 72, 160], Operations: ['74+86=160']
Exploring Operation: 99+72=171, Resulting Numbers: [160, 171]
Generated Node #3: [160, 171] from Operation: 99+72=171
Current State: 11:[160, 171], Operations: ['74+86=160', '99+72=171']
Exploring Operation: 171-160=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
85,
6,
77,
2
] | 84 | [
"85+6=91",
"77+91=168",
"168/2=84"
] | Current State: 84:[85, 6, 77, 2], Operations: []
Exploring Operation: 85+6=91, Resulting Numbers: [77, 2, 91]
Generated Node #2: [77, 2, 91] from Operation: 85+6=91
Current State: 84:[77, 2, 91], Operations: ['85+6=91']
Exploring Operation: 77+91=168, Resulting Numbers: [2, 168]
Generated Node #3: [2, 168] from Operation: 77+91=168
Current State: 84:[2, 168], Operations: ['85+6=91', '77+91=168']
Exploring Operation: 168/2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
1,
20,
47,
39
] | 29 | [
"1+20=21",
"47-39=8",
"21+8=29"
] | Current State: 29:[1, 20, 47, 39], Operations: []
Exploring Operation: 1+20=21, Resulting Numbers: [47, 39, 21]
Generated Node #2: [47, 39, 21] from Operation: 1+20=21
Current State: 29:[47, 39, 21], Operations: ['1+20=21']
Exploring Operation: 47-39=8, Resulting Numbers: [21, 8]
Generated Node #3: [21, 8] from Operation: 47-39=8
Current State: 29:[21, 8], Operations: ['1+20=21', '47-39=8']
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
81,
38,
84,
52
] | 62 | [
"84-81=3",
"38*3=114",
"114-52=62"
] | Current State: 62:[81, 38, 84, 52], Operations: []
Exploring Operation: 84-81=3, Resulting Numbers: [38, 52, 3]
Generated Node #2: [38, 52, 3] from Operation: 84-81=3
Current State: 62:[38, 52, 3], Operations: ['84-81=3']
Exploring Operation: 38*3=114, Resulting Numbers: [52, 114]
Generated Node #3: [52, 114] from Operation: 38*3=114
Current State: 62:[52, 114], Operations: ['84-81=3', '38*3=114']
Exploring Operation: 114-52=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
77,
14,
5,
29
] | 39 | [
"77-14=63",
"29-5=24",
"63-24=39"
] | Current State: 39:[77, 14, 5, 29], Operations: []
Exploring Operation: 77-14=63, Resulting Numbers: [5, 29, 63]
Generated Node #2: [5, 29, 63] from Operation: 77-14=63
Current State: 39:[5, 29, 63], Operations: ['77-14=63']
Exploring Operation: 29-5=24, Resulting Numbers: [63, 24]
Generated Node #3: [63, 24] from Operation: 29-5=24
Current State: 39:[63, 24], Operations: ['77-14=63', '29-5=24']
Exploring Operation: 63-24=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
71,
54,
61,
9
] | 54 | [
"71-61=10",
"10-9=1",
"54*1=54"
] | Current State: 54:[71, 54, 61, 9], Operations: []
Exploring Operation: 71-61=10, Resulting Numbers: [54, 9, 10]
Generated Node #2: [54, 9, 10] from Operation: 71-61=10
Current State: 54:[54, 9, 10], Operations: ['71-61=10']
Exploring Operation: 10-9=1, Resulting Numbers: [54, 1]
Generated Node #3: [54, 1] from Operation: 10-9=1
Current State: 54:[54, 1], Operations: ['71-61=10', '10-9=1']
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
3,
59,
95,
61
] | 43 | [
"95-61=34",
"3*34=102",
"102-59=43"
] | Current State: 43:[3, 59, 95, 61], Operations: []
Exploring Operation: 95-61=34, Resulting Numbers: [3, 59, 34]
Generated Node #2: [3, 59, 34] from Operation: 95-61=34
Current State: 43:[3, 59, 34], Operations: ['95-61=34']
Exploring Operation: 3*34=102, Resulting Numbers: [59, 102]
Generated Node #3: [59, 102] from Operation: 3*34=102
Current State: 43:[59, 102], Operations: ['95-61=34', '3*34=102']
Exploring Operation: 102-59=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
84,
87,
11,
3
] | 66 | [
"87-84=3",
"3+3=6",
"11*6=66"
] | Current State: 66:[84, 87, 11, 3], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [11, 3, 3]
Generated Node #2: [11, 3, 3] from Operation: 87-84=3
Current State: 66:[11, 3, 3], Operations: ['87-84=3']
Exploring Operation: 3+3=6, Resulting Numbers: [11, 6]
Generated Node #3: [11, 6] from Operation: 3+3=6
Current State: 66:[11, 6], Operations: ['87-84=3', '3+3=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
32,
20,
19,
46
] | 100 | [
"32+19=51",
"51-46=5",
"20*5=100"
] | Current State: 100:[32, 20, 19, 46], Operations: []
Exploring Operation: 32+19=51, Resulting Numbers: [20, 46, 51]
Generated Node #2: [20, 46, 51] from Operation: 32+19=51
Current State: 100:[20, 46, 51], Operations: ['32+19=51']
Exploring Operation: 51-46=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 51-46=5
Current State: 100:[20, 5], Operations: ['32+19=51', '51-46=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
39,
57,
55,
59
] | 37 | [
"55+59=114",
"114/57=2",
"39-2=37"
] | Current State: 37:[39, 57, 55, 59], Operations: []
Exploring Operation: 55+59=114, Resulting Numbers: [39, 57, 114]
Generated Node #2: [39, 57, 114] from Operation: 55+59=114
Current State: 37:[39, 57, 114], Operations: ['55+59=114']
Exploring Operation: 114/57=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 114/57=2
Current State: 37:[39, 2], Operations: ['55+59=114', '114/57=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
70,
16,
56,
35
] | 44 | [
"70/35=2",
"56/2=28",
"16+28=44"
] | Current State: 44:[70, 16, 56, 35], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [16, 56, 2]
Generated Node #2: [16, 56, 2] from Operation: 70/35=2
Current State: 44:[16, 56, 2], Operations: ['70/35=2']
Exploring Operation: 56/2=28, Resulting Numbers: [16, 28]
Generated Node #3: [16, 28] from Operation: 56/2=28
Current State: 44:[16, 28], Operations: ['70/35=2', '56/2=28']
Exploring Operation: 16+28=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
25,
31,
86,
59
] | 83 | [
"25+31=56",
"86-59=27",
"56+27=83"
] | Current State: 83:[25, 31, 86, 59], Operations: []
Exploring Operation: 25+31=56, Resulting Numbers: [86, 59, 56]
Generated Node #2: [86, 59, 56] from Operation: 25+31=56
Current State: 83:[86, 59, 56], Operations: ['25+31=56']
Exploring Operation: 86-59=27, Resulting Numbers: [56, 27]
Generated Node #3: [56, 27] from Operation: 86-59=27
Current State: 83:[56, 27], Operations: ['25+31=56', '86-59=27']
Exploring Operation: 56+27=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
17,
60,
6,
20
] | 33 | [
"17-6=11",
"60/20=3",
"11*3=33"
] | Current State: 33:[17, 60, 6, 20], Operations: []
Exploring Operation: 17-6=11, Resulting Numbers: [60, 20, 11]
Generated Node #2: [60, 20, 11] from Operation: 17-6=11
Current State: 33:[60, 20, 11], Operations: ['17-6=11']
Exploring Operation: 60/20=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 60/20=3
Current State: 33:[11, 3], Operations: ['17-6=11', '60/20=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
52,
45,
61,
42
] | 12 | [
"52-45=7",
"61-42=19",
"19-7=12"
] | Current State: 12:[52, 45, 61, 42], Operations: []
Exploring Operation: 52-45=7, Resulting Numbers: [61, 42, 7]
Generated Node #2: [61, 42, 7] from Operation: 52-45=7
Current State: 12:[61, 42, 7], Operations: ['52-45=7']
Exploring Operation: 61-42=19, Resulting Numbers: [7, 19]
Generated Node #3: [7, 19] from Operation: 61-42=19
Current State: 12:[7, 19], Operations: ['52-45=7', '61-42=19']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
36,
31,
8,
38
] | 54 | [
"38-36=2",
"31*2=62",
"62-8=54"
] | Current State: 54:[36, 31, 8, 38], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [31, 8, 2]
Generated Node #2: [31, 8, 2] from Operation: 38-36=2
Current State: 54:[31, 8, 2], Operations: ['38-36=2']
Exploring Operation: 31*2=62, Resulting Numbers: [8, 62]
Generated Node #3: [8, 62] from Operation: 31*2=62
Current State: 54:[8, 62], Operations: ['38-36=2', '31*2=62']
Exploring Operation: 62-8=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
40,
51,
2,
50
] | 40 | [
"51-2=49",
"50-49=1",
"40*1=40"
] | Current State: 40:[40, 51, 2, 50], Operations: []
Exploring Operation: 51-2=49, Resulting Numbers: [40, 50, 49]
Generated Node #2: [40, 50, 49] from Operation: 51-2=49
Current State: 40:[40, 50, 49], Operations: ['51-2=49']
Exploring Operation: 50-49=1, Resulting Numbers: [40, 1]
Generated Node #3: [40, 1] from Operation: 50-49=1
Current State: 40:[40, 1], Operations: ['51-2=49', '50-49=1']
Exploring Operation: 40*1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
61,
53,
95,
57
] | 97 | [
"61+53=114",
"114/57=2",
"95+2=97"
] | Current State: 97:[61, 53, 95, 57], Operations: []
Exploring Operation: 61+53=114, Resulting Numbers: [95, 57, 114]
Generated Node #2: [95, 57, 114] from Operation: 61+53=114
Current State: 97:[95, 57, 114], Operations: ['61+53=114']
Exploring Operation: 114/57=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 114/57=2
Current State: 97:[95, 2], Operations: ['61+53=114', '114/57=2']
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
63,
98,
26,
3
] | 27 | [
"98-63=35",
"35-26=9",
"3*9=27"
] | Current State: 27:[63, 98, 26, 3], Operations: []
Exploring Operation: 98-63=35, Resulting Numbers: [26, 3, 35]
Generated Node #2: [26, 3, 35] from Operation: 98-63=35
Current State: 27:[26, 3, 35], Operations: ['98-63=35']
Exploring Operation: 35-26=9, Resulting Numbers: [3, 9]
Generated Node #3: [3, 9] from Operation: 35-26=9
Current State: 27:[3, 9], Operations: ['98-63=35', '35-26=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
68,
29,
5,
55
] | 50 | [
"68-29=39",
"55/5=11",
"39+11=50"
] | Current State: 50:[68, 29, 5, 55], Operations: []
Exploring Operation: 68-29=39, Resulting Numbers: [5, 55, 39]
Generated Node #2: [5, 55, 39] from Operation: 68-29=39
Current State: 50:[5, 55, 39], Operations: ['68-29=39']
Exploring Operation: 55/5=11, Resulting Numbers: [39, 11]
Generated Node #3: [39, 11] from Operation: 55/5=11
Current State: 50:[39, 11], Operations: ['68-29=39', '55/5=11']
Exploring Operation: 39+11=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
6,
79,
5,
40
] | 91 | [
"40-6=34",
"5*34=170",
"170-79=91"
] | Current State: 91:[6, 79, 5, 40], Operations: []
Exploring Operation: 40-6=34, Resulting Numbers: [79, 5, 34]
Generated Node #2: [79, 5, 34] from Operation: 40-6=34
Current State: 91:[79, 5, 34], Operations: ['40-6=34']
Exploring Operation: 5*34=170, Resulting Numbers: [79, 170]
Generated Node #3: [79, 170] from Operation: 5*34=170
Current State: 91:[79, 170], Operations: ['40-6=34', '5*34=170']
Exploring Operation: 170-79=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
80,
92,
18,
93
] | 62 | [
"92-80=12",
"93*12=1116",
"1116/18=62"
] | Current State: 62:[80, 92, 18, 93], Operations: []
Exploring Operation: 92-80=12, Resulting Numbers: [18, 93, 12]
Generated Node #2: [18, 93, 12] from Operation: 92-80=12
Current State: 62:[18, 93, 12], Operations: ['92-80=12']
Exploring Operation: 93*12=1116, Resulting Numbers: [18, 1116]
Generated Node #3: [18, 1116] from Operation: 93*12=1116
Current State: 62:[18, 1116], Operations: ['92-80=12', '93*12=1116']
Exploring Operation: 1116/18=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
76,
53,
45,
76
] | 53 | [
"76-76=0",
"45*0=0",
"53+0=53"
] | Current State: 53:[76, 53, 45, 76], Operations: []
Exploring Operation: 76-76=0, Resulting Numbers: [53, 45, 0]
Generated Node #2: [53, 45, 0] from Operation: 76-76=0
Current State: 53:[53, 45, 0], Operations: ['76-76=0']
Exploring Operation: 45*0=0, Resulting Numbers: [53, 0]
Generated Node #3: [53, 0] from Operation: 45*0=0
Current State: 53:[53, 0], Operations: ['76-76=0', '45*0=0']
Exploring Operation: 53+0=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
69,
84,
8,
19
] | 65 | [
"84-8=76",
"76/19=4",
"69-4=65"
] | Current State: 65:[69, 84, 8, 19], Operations: []
Exploring Operation: 84-8=76, Resulting Numbers: [69, 19, 76]
Generated Node #2: [69, 19, 76] from Operation: 84-8=76
Current State: 65:[69, 19, 76], Operations: ['84-8=76']
Exploring Operation: 76/19=4, Resulting Numbers: [69, 4]
Generated Node #3: [69, 4] from Operation: 76/19=4
Current State: 65:[69, 4], Operations: ['84-8=76', '76/19=4']
Exploring Operation: 69-4=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
1,
21,
58,
99
] | 19 | [
"1+21=22",
"99-58=41",
"41-22=19"
] | Current State: 19:[1, 21, 58, 99], Operations: []
Exploring Operation: 1+21=22, Resulting Numbers: [58, 99, 22]
Generated Node #2: [58, 99, 22] from Operation: 1+21=22
Current State: 19:[58, 99, 22], Operations: ['1+21=22']
Exploring Operation: 99-58=41, Resulting Numbers: [22, 41]
Generated Node #3: [22, 41] from Operation: 99-58=41
Current State: 19:[22, 41], Operations: ['1+21=22', '99-58=41']
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
80,
17,
11,
16
] | 83 | [
"17+16=33",
"33/11=3",
"80+3=83"
] | Current State: 83:[80, 17, 11, 16], Operations: []
Exploring Operation: 17+16=33, Resulting Numbers: [80, 11, 33]
Generated Node #2: [80, 11, 33] from Operation: 17+16=33
Current State: 83:[80, 11, 33], Operations: ['17+16=33']
Exploring Operation: 33/11=3, Resulting Numbers: [80, 3]
Generated Node #3: [80, 3] from Operation: 33/11=3
Current State: 83:[80, 3], Operations: ['17+16=33', '33/11=3']
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
31,
81,
78,
39
] | 19 | [
"31*78=2418",
"2418/39=62",
"81-62=19"
] | Current State: 19:[31, 81, 78, 39], Operations: []
Exploring Operation: 31*78=2418, Resulting Numbers: [81, 39, 2418]
Generated Node #2: [81, 39, 2418] from Operation: 31*78=2418
Current State: 19:[81, 39, 2418], Operations: ['31*78=2418']
Exploring Operation: 2418/39=62, Resulting Numbers: [81, 62]
Generated Node #3: [81, 62] from Operation: 2418/39=62
Current State: 19:[81, 62], Operations: ['31*78=2418', '2418/39=62']
Exploring Operation: 81-62=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
17,
8,
97,
26
] | 94 | [
"17+97=114",
"8*26=208",
"208-114=94"
] | Current State: 94:[17, 8, 97, 26], Operations: []
Exploring Operation: 17+97=114, Resulting Numbers: [8, 26, 114]
Generated Node #2: [8, 26, 114] from Operation: 17+97=114
Current State: 94:[8, 26, 114], Operations: ['17+97=114']
Exploring Operation: 8*26=208, Resulting Numbers: [114, 208]
Generated Node #3: [114, 208] from Operation: 8*26=208
Current State: 94:[114, 208], Operations: ['17+97=114', '8*26=208']
Exploring Operation: 208-114=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
86,
7,
7,
24
] | 76 | [
"86+7=93",
"24-7=17",
"93-17=76"
] | Current State: 76:[86, 7, 7, 24], Operations: []
Exploring Operation: 86+7=93, Resulting Numbers: [24, 93]
Generated Node #2: [24, 93] from Operation: 86+7=93
Current State: 76:[24, 93], Operations: ['86+7=93']
Exploring Operation: 24-7=17, Resulting Numbers: [93, 17]
Generated Node #3: [93, 17] from Operation: 24-7=17
Current State: 76:[93, 17], Operations: ['86+7=93', '24-7=17']
Exploring Operation: 93-17=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
40,
18,
28,
12
] | 98 | [
"40+18=58",
"28+12=40",
"58+40=98"
] | Current State: 98:[40, 18, 28, 12], Operations: []
Exploring Operation: 40+18=58, Resulting Numbers: [28, 12, 58]
Generated Node #2: [28, 12, 58] from Operation: 40+18=58
Current State: 98:[28, 12, 58], Operations: ['40+18=58']
Exploring Operation: 28+12=40, Resulting Numbers: [58, 40]
Generated Node #3: [58, 40] from Operation: 28+12=40
Current State: 98:[58, 40], Operations: ['40+18=58', '28+12=40']
Exploring Operation: 58+40=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
92,
7,
12,
97
] | 39 | [
"92+97=189",
"189/7=27",
"12+27=39"
] | Current State: 39:[92, 7, 12, 97], Operations: []
Exploring Operation: 92+97=189, Resulting Numbers: [7, 12, 189]
Generated Node #2: [7, 12, 189] from Operation: 92+97=189
Current State: 39:[7, 12, 189], Operations: ['92+97=189']
Exploring Operation: 189/7=27, Resulting Numbers: [12, 27]
Generated Node #3: [12, 27] from Operation: 189/7=27
Current State: 39:[12, 27], Operations: ['92+97=189', '189/7=27']
Exploring Operation: 12+27=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
44,
80,
59,
51
] | 32 | [
"44*80=3520",
"59+51=110",
"3520/110=32"
] | Current State: 32:[44, 80, 59, 51], Operations: []
Exploring Operation: 44*80=3520, Resulting Numbers: [59, 51, 3520]
Generated Node #2: [59, 51, 3520] from Operation: 44*80=3520
Current State: 32:[59, 51, 3520], Operations: ['44*80=3520']
Exploring Operation: 59+51=110, Resulting Numbers: [3520, 110]
Generated Node #3: [3520, 110] from Operation: 59+51=110
Current State: 32:[3520, 110], Operations: ['44*80=3520', '59+51=110']
Exploring Operation: 3520/110=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
81,
92,
47,
74
] | 89 | [
"74-47=27",
"81/27=3",
"92-3=89"
] | Current State: 89:[81, 92, 47, 74], Operations: []
Exploring Operation: 74-47=27, Resulting Numbers: [81, 92, 27]
Generated Node #2: [81, 92, 27] from Operation: 74-47=27
Current State: 89:[81, 92, 27], Operations: ['74-47=27']
Exploring Operation: 81/27=3, Resulting Numbers: [92, 3]
Generated Node #3: [92, 3] from Operation: 81/27=3
Current State: 89:[92, 3], Operations: ['74-47=27', '81/27=3']
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
56,
42,
76,
88
] | 66 | [
"56+42=98",
"76+88=164",
"164-98=66"
] | Current State: 66:[56, 42, 76, 88], Operations: []
Exploring Operation: 56+42=98, Resulting Numbers: [76, 88, 98]
Generated Node #2: [76, 88, 98] from Operation: 56+42=98
Current State: 66:[76, 88, 98], Operations: ['56+42=98']
Exploring Operation: 76+88=164, Resulting Numbers: [98, 164]
Generated Node #3: [98, 164] from Operation: 76+88=164
Current State: 66:[98, 164], Operations: ['56+42=98', '76+88=164']
Exploring Operation: 164-98=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
20,
75,
36,
28
] | 73 | [
"20+36=56",
"56/28=2",
"75-2=73"
] | Current State: 73:[20, 75, 36, 28], Operations: []
Exploring Operation: 20+36=56, Resulting Numbers: [75, 28, 56]
Generated Node #2: [75, 28, 56] from Operation: 20+36=56
Current State: 73:[75, 28, 56], Operations: ['20+36=56']
Exploring Operation: 56/28=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 56/28=2
Current State: 73:[75, 2], Operations: ['20+36=56', '56/28=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
40,
23,
25,
42
] | 21 | [
"42-40=2",
"23*2=46",
"46-25=21"
] | Current State: 21:[40, 23, 25, 42], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [23, 25, 2]
Generated Node #2: [23, 25, 2] from Operation: 42-40=2
Current State: 21:[23, 25, 2], Operations: ['42-40=2']
Exploring Operation: 23*2=46, Resulting Numbers: [25, 46]
Generated Node #3: [25, 46] from Operation: 23*2=46
Current State: 21:[25, 46], Operations: ['42-40=2', '23*2=46']
Exploring Operation: 46-25=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
97,
68,
39,
8
] | 76 | [
"97-68=29",
"39+8=47",
"29+47=76"
] | Current State: 76:[97, 68, 39, 8], Operations: []
Exploring Operation: 97-68=29, Resulting Numbers: [39, 8, 29]
Generated Node #2: [39, 8, 29] from Operation: 97-68=29
Current State: 76:[39, 8, 29], Operations: ['97-68=29']
Exploring Operation: 39+8=47, Resulting Numbers: [29, 47]
Generated Node #3: [29, 47] from Operation: 39+8=47
Current State: 76:[29, 47], Operations: ['97-68=29', '39+8=47']
Exploring Operation: 29+47=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
16,
36,
24,
9
] | 33 | [
"16*36=576",
"576/24=24",
"9+24=33"
] | Current State: 33:[16, 36, 24, 9], Operations: []
Exploring Operation: 16*36=576, Resulting Numbers: [24, 9, 576]
Generated Node #2: [24, 9, 576] from Operation: 16*36=576
Current State: 33:[24, 9, 576], Operations: ['16*36=576']
Exploring Operation: 576/24=24, Resulting Numbers: [9, 24]
Generated Node #3: [9, 24] from Operation: 576/24=24
Current State: 33:[9, 24], Operations: ['16*36=576', '576/24=24']
Exploring Operation: 9+24=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
26,
55,
4,
3
] | 93 | [
"26+55=81",
"4*3=12",
"81+12=93"
] | Current State: 93:[26, 55, 4, 3], Operations: []
Exploring Operation: 26+55=81, Resulting Numbers: [4, 3, 81]
Generated Node #2: [4, 3, 81] from Operation: 26+55=81
Current State: 93:[4, 3, 81], Operations: ['26+55=81']
Exploring Operation: 4*3=12, Resulting Numbers: [81, 12]
Generated Node #3: [81, 12] from Operation: 4*3=12
Current State: 93:[81, 12], Operations: ['26+55=81', '4*3=12']
Exploring Operation: 81+12=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
78,
14,
37,
29
] | 13 | [
"37-14=23",
"29-23=6",
"78/6=13"
] | Current State: 13:[78, 14, 37, 29], Operations: []
Exploring Operation: 37-14=23, Resulting Numbers: [78, 29, 23]
Generated Node #2: [78, 29, 23] from Operation: 37-14=23
Current State: 13:[78, 29, 23], Operations: ['37-14=23']
Exploring Operation: 29-23=6, Resulting Numbers: [78, 6]
Generated Node #3: [78, 6] from Operation: 29-23=6
Current State: 13:[78, 6], Operations: ['37-14=23', '29-23=6']
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
18,
7,
68,
83
] | 63 | [
"7+83=90",
"90/18=5",
"68-5=63"
] | Current State: 63:[18, 7, 68, 83], Operations: []
Exploring Operation: 7+83=90, Resulting Numbers: [18, 68, 90]
Generated Node #2: [18, 68, 90] from Operation: 7+83=90
Current State: 63:[18, 68, 90], Operations: ['7+83=90']
Exploring Operation: 90/18=5, Resulting Numbers: [68, 5]
Generated Node #3: [68, 5] from Operation: 90/18=5
Current State: 63:[68, 5], Operations: ['7+83=90', '90/18=5']
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
77,
54,
68,
11
] | 98 | [
"77/11=7",
"68-54=14",
"7*14=98"
] | Current State: 98:[77, 54, 68, 11], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [54, 68, 7]
Generated Node #2: [54, 68, 7] from Operation: 77/11=7
Current State: 98:[54, 68, 7], Operations: ['77/11=7']
Exploring Operation: 68-54=14, Resulting Numbers: [7, 14]
Generated Node #3: [7, 14] from Operation: 68-54=14
Current State: 98:[7, 14], Operations: ['77/11=7', '68-54=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
77,
50,
25,
84
] | 82 | [
"77-50=27",
"25+84=109",
"109-27=82"
] | Current State: 82:[77, 50, 25, 84], Operations: []
Exploring Operation: 77-50=27, Resulting Numbers: [25, 84, 27]
Generated Node #2: [25, 84, 27] from Operation: 77-50=27
Current State: 82:[25, 84, 27], Operations: ['77-50=27']
Exploring Operation: 25+84=109, Resulting Numbers: [27, 109]
Generated Node #3: [27, 109] from Operation: 25+84=109
Current State: 82:[27, 109], Operations: ['77-50=27', '25+84=109']
Exploring Operation: 109-27=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
96,
3,
10,
19
] | 61 | [
"96/3=32",
"10+19=29",
"32+29=61"
] | Current State: 61:[96, 3, 10, 19], Operations: []
Exploring Operation: 96/3=32, Resulting Numbers: [10, 19, 32]
Generated Node #2: [10, 19, 32] from Operation: 96/3=32
Current State: 61:[10, 19, 32], Operations: ['96/3=32']
Exploring Operation: 10+19=29, Resulting Numbers: [32, 29]
Generated Node #3: [32, 29] from Operation: 10+19=29
Current State: 61:[32, 29], Operations: ['96/3=32', '10+19=29']
Exploring Operation: 32+29=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
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