nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
71,
69,
47,
4
] | 94 | [
"71-69=2",
"47*4=188",
"188/2=94"
] | Current State: 94:[71, 69, 47, 4], Operations: []
Exploring Operation: 71-69=2, Resulting Numbers: [47, 4, 2]
Generated Node #2: [47, 4, 2] from Operation: 71-69=2
Current State: 94:[47, 4, 2], Operations: ['71-69=2']
Exploring Operation: 47*4=188, Resulting Numbers: [2, 188]
Generated Node #3: [2, 188] from Operation: 47*4=188
Current State: 94:[2, 188], Operations: ['71-69=2', '47*4=188']
Exploring Operation: 188/2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
3,
18,
48,
56
] | 23 | [
"18-3=15",
"56-48=8",
"15+8=23"
] | Current State: 23:[3, 18, 48, 56], Operations: []
Exploring Operation: 18-3=15, Resulting Numbers: [48, 56, 15]
Generated Node #2: [48, 56, 15] from Operation: 18-3=15
Current State: 23:[48, 56, 15], Operations: ['18-3=15']
Exploring Operation: 56-48=8, Resulting Numbers: [15, 8]
Generated Node #3: [15, 8] from Operation: 56-48=8
Current State: 23:[15, 8], Operations: ['18-3=15', '56-48=8']
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
80,
79,
74,
14
] | 61 | [
"80-79=1",
"74-14=60",
"1+60=61"
] | Current State: 61:[80, 79, 74, 14], Operations: []
Exploring Operation: 80-79=1, Resulting Numbers: [74, 14, 1]
Generated Node #2: [74, 14, 1] from Operation: 80-79=1
Current State: 61:[74, 14, 1], Operations: ['80-79=1']
Exploring Operation: 74-14=60, Resulting Numbers: [1, 60]
Generated Node #3: [1, 60] from Operation: 74-14=60
Current State: 61:[1, 60], Operations: ['80-79=1', '74-14=60']
Exploring Operation: 1+60=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
93,
40,
28,
72
] | 97 | [
"93-40=53",
"72-28=44",
"53+44=97"
] | Current State: 97:[93, 40, 28, 72], Operations: []
Exploring Operation: 93-40=53, Resulting Numbers: [28, 72, 53]
Generated Node #2: [28, 72, 53] from Operation: 93-40=53
Current State: 97:[28, 72, 53], Operations: ['93-40=53']
Exploring Operation: 72-28=44, Resulting Numbers: [53, 44]
Generated Node #3: [53, 44] from Operation: 72-28=44
Current State: 97:[53, 44], Operations: ['93-40=53', '72-28=44']
Exploring Operation: 53+44=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
77,
11,
15,
80
] | 25 | [
"77/11=7",
"15*7=105",
"105-80=25"
] | Current State: 25:[77, 11, 15, 80], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [15, 80, 7]
Generated Node #2: [15, 80, 7] from Operation: 77/11=7
Current State: 25:[15, 80, 7], Operations: ['77/11=7']
Exploring Operation: 15*7=105, Resulting Numbers: [80, 105]
Generated Node #3: [80, 105] from Operation: 15*7=105
Current State: 25:[80, 105], Operations: ['77/11=7', '15*7=105']
Exploring Operation: 105-80=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
12,
44,
60,
14
] | 64 | [
"12+44=56",
"56/14=4",
"60+4=64"
] | Current State: 64:[12, 44, 60, 14], Operations: []
Exploring Operation: 12+44=56, Resulting Numbers: [60, 14, 56]
Generated Node #2: [60, 14, 56] from Operation: 12+44=56
Current State: 64:[60, 14, 56], Operations: ['12+44=56']
Exploring Operation: 56/14=4, Resulting Numbers: [60, 4]
Generated Node #3: [60, 4] from Operation: 56/14=4
Current State: 64:[60, 4], Operations: ['12+44=56', '56/14=4']
Exploring Operation: 60+4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
52,
51,
34,
19
] | 94 | [
"51*34=1734",
"52+1734=1786",
"1786/19=94"
] | Current State: 94:[52, 51, 34, 19], Operations: []
Exploring Operation: 51*34=1734, Resulting Numbers: [52, 19, 1734]
Generated Node #2: [52, 19, 1734] from Operation: 51*34=1734
Current State: 94:[52, 19, 1734], Operations: ['51*34=1734']
Exploring Operation: 52+1734=1786, Resulting Numbers: [19, 1786]
Generated Node #3: [19, 1786] from Operation: 52+1734=1786
Current State: 94:[19, 1786], Operations: ['51*34=1734', '52+1734=1786']
Exploring Operation: 1786/19=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
53,
88,
64,
39
] | 47 | [
"64-53=11",
"88/11=8",
"39+8=47"
] | Current State: 47:[53, 88, 64, 39], Operations: []
Exploring Operation: 64-53=11, Resulting Numbers: [88, 39, 11]
Generated Node #2: [88, 39, 11] from Operation: 64-53=11
Current State: 47:[88, 39, 11], Operations: ['64-53=11']
Exploring Operation: 88/11=8, Resulting Numbers: [39, 8]
Generated Node #3: [39, 8] from Operation: 88/11=8
Current State: 47:[39, 8], Operations: ['64-53=11', '88/11=8']
Exploring Operation: 39+8=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
62,
39,
10,
53
] | 40 | [
"62-39=23",
"10+53=63",
"63-23=40"
] | Current State: 40:[62, 39, 10, 53], Operations: []
Exploring Operation: 62-39=23, Resulting Numbers: [10, 53, 23]
Generated Node #2: [10, 53, 23] from Operation: 62-39=23
Current State: 40:[10, 53, 23], Operations: ['62-39=23']
Exploring Operation: 10+53=63, Resulting Numbers: [23, 63]
Generated Node #3: [23, 63] from Operation: 10+53=63
Current State: 40:[23, 63], Operations: ['62-39=23', '10+53=63']
Exploring Operation: 63-23=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
27,
12,
38,
3
] | 41 | [
"27/3=9",
"12+38=50",
"50-9=41"
] | Current State: 41:[27, 12, 38, 3], Operations: []
Exploring Operation: 27/3=9, Resulting Numbers: [12, 38, 9]
Generated Node #2: [12, 38, 9] from Operation: 27/3=9
Current State: 41:[12, 38, 9], Operations: ['27/3=9']
Exploring Operation: 12+38=50, Resulting Numbers: [9, 50]
Generated Node #3: [9, 50] from Operation: 12+38=50
Current State: 41:[9, 50], Operations: ['27/3=9', '12+38=50']
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
35,
62,
52,
8
] | 17 | [
"62-35=27",
"52-8=44",
"44-27=17"
] | Current State: 17:[35, 62, 52, 8], Operations: []
Exploring Operation: 62-35=27, Resulting Numbers: [52, 8, 27]
Generated Node #2: [52, 8, 27] from Operation: 62-35=27
Current State: 17:[52, 8, 27], Operations: ['62-35=27']
Exploring Operation: 52-8=44, Resulting Numbers: [27, 44]
Generated Node #3: [27, 44] from Operation: 52-8=44
Current State: 17:[27, 44], Operations: ['62-35=27', '52-8=44']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
1,
85,
44,
39
] | 90 | [
"1*85=85",
"44-39=5",
"85+5=90"
] | Current State: 90:[1, 85, 44, 39], Operations: []
Exploring Operation: 1*85=85, Resulting Numbers: [44, 39, 85]
Generated Node #2: [44, 39, 85] from Operation: 1*85=85
Current State: 90:[44, 39, 85], Operations: ['1*85=85']
Exploring Operation: 44-39=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 44-39=5
Current State: 90:[85, 5], Operations: ['1*85=85', '44-39=5']
Exploring Operation: 85+5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
45,
50,
5,
33
] | 22 | [
"45-33=12",
"50/5=10",
"12+10=22"
] | Current State: 22:[45, 50, 5, 33], Operations: []
Exploring Operation: 45-33=12, Resulting Numbers: [50, 5, 12]
Generated Node #2: [50, 5, 12] from Operation: 45-33=12
Current State: 22:[50, 5, 12], Operations: ['45-33=12']
Exploring Operation: 50/5=10, Resulting Numbers: [12, 10]
Generated Node #3: [12, 10] from Operation: 50/5=10
Current State: 22:[12, 10], Operations: ['45-33=12', '50/5=10']
Exploring Operation: 12+10=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
57,
23,
10,
78
] | 34 | [
"57-23=34",
"78-10=68",
"68-34=34"
] | Current State: 34:[57, 23, 10, 78], Operations: []
Exploring Operation: 57-23=34, Resulting Numbers: [10, 78, 34]
Generated Node #2: [10, 78, 34] from Operation: 57-23=34
Current State: 34:[10, 78, 34], Operations: ['57-23=34']
Exploring Operation: 78-10=68, Resulting Numbers: [34, 68]
Generated Node #3: [34, 68] from Operation: 78-10=68
Current State: 34:[34, 68], Operations: ['57-23=34', '78-10=68']
Exploring Operation: 68-34=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
13,
64,
10,
29
] | 12 | [
"64-13=51",
"10+29=39",
"51-39=12"
] | Current State: 12:[13, 64, 10, 29], Operations: []
Exploring Operation: 64-13=51, Resulting Numbers: [10, 29, 51]
Generated Node #2: [10, 29, 51] from Operation: 64-13=51
Current State: 12:[10, 29, 51], Operations: ['64-13=51']
Exploring Operation: 10+29=39, Resulting Numbers: [51, 39]
Generated Node #3: [51, 39] from Operation: 10+29=39
Current State: 12:[51, 39], Operations: ['64-13=51', '10+29=39']
Exploring Operation: 51-39=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
44,
55,
31,
32
] | 98 | [
"44+55=99",
"32-31=1",
"99-1=98"
] | Current State: 98:[44, 55, 31, 32], Operations: []
Exploring Operation: 44+55=99, Resulting Numbers: [31, 32, 99]
Generated Node #2: [31, 32, 99] from Operation: 44+55=99
Current State: 98:[31, 32, 99], Operations: ['44+55=99']
Exploring Operation: 32-31=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 32-31=1
Current State: 98:[99, 1], Operations: ['44+55=99', '32-31=1']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
66,
84,
7,
4
] | 15 | [
"84-66=18",
"7-4=3",
"18-3=15"
] | Current State: 15:[66, 84, 7, 4], Operations: []
Exploring Operation: 84-66=18, Resulting Numbers: [7, 4, 18]
Generated Node #2: [7, 4, 18] from Operation: 84-66=18
Current State: 15:[7, 4, 18], Operations: ['84-66=18']
Exploring Operation: 7-4=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 7-4=3
Current State: 15:[18, 3], Operations: ['84-66=18', '7-4=3']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
16,
11,
21,
72
] | 74 | [
"11+21=32",
"32/16=2",
"72+2=74"
] | Current State: 74:[16, 11, 21, 72], Operations: []
Exploring Operation: 11+21=32, Resulting Numbers: [16, 72, 32]
Generated Node #2: [16, 72, 32] from Operation: 11+21=32
Current State: 74:[16, 72, 32], Operations: ['11+21=32']
Exploring Operation: 32/16=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 32/16=2
Current State: 74:[72, 2], Operations: ['11+21=32', '32/16=2']
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
69,
18,
98,
59
] | 82 | [
"69-59=10",
"18*10=180",
"180-98=82"
] | Current State: 82:[69, 18, 98, 59], Operations: []
Exploring Operation: 69-59=10, Resulting Numbers: [18, 98, 10]
Generated Node #2: [18, 98, 10] from Operation: 69-59=10
Current State: 82:[18, 98, 10], Operations: ['69-59=10']
Exploring Operation: 18*10=180, Resulting Numbers: [98, 180]
Generated Node #3: [98, 180] from Operation: 18*10=180
Current State: 82:[98, 180], Operations: ['69-59=10', '18*10=180']
Exploring Operation: 180-98=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
4,
7,
17,
1
] | 36 | [
"17-7=10",
"10-1=9",
"4*9=36"
] | Current State: 36:[4, 7, 17, 1], Operations: []
Exploring Operation: 17-7=10, Resulting Numbers: [4, 1, 10]
Generated Node #2: [4, 1, 10] from Operation: 17-7=10
Current State: 36:[4, 1, 10], Operations: ['17-7=10']
Exploring Operation: 10-1=9, Resulting Numbers: [4, 9]
Generated Node #3: [4, 9] from Operation: 10-1=9
Current State: 36:[4, 9], Operations: ['17-7=10', '10-1=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
83,
23,
94,
24
] | 12 | [
"83+23=106",
"94+24=118",
"118-106=12"
] | Current State: 12:[83, 23, 94, 24], Operations: []
Exploring Operation: 83+23=106, Resulting Numbers: [94, 24, 106]
Generated Node #2: [94, 24, 106] from Operation: 83+23=106
Current State: 12:[94, 24, 106], Operations: ['83+23=106']
Exploring Operation: 94+24=118, Resulting Numbers: [106, 118]
Generated Node #3: [106, 118] from Operation: 94+24=118
Current State: 12:[106, 118], Operations: ['83+23=106', '94+24=118']
Exploring Operation: 118-106=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
20,
34,
62,
31
] | 56 | [
"20+34=54",
"62/31=2",
"54+2=56"
] | Current State: 56:[20, 34, 62, 31], Operations: []
Exploring Operation: 20+34=54, Resulting Numbers: [62, 31, 54]
Generated Node #2: [62, 31, 54] from Operation: 20+34=54
Current State: 56:[62, 31, 54], Operations: ['20+34=54']
Exploring Operation: 62/31=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 62/31=2
Current State: 56:[54, 2], Operations: ['20+34=54', '62/31=2']
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
70,
28,
7,
4
] | 42 | [
"70/7=10",
"28+4=32",
"10+32=42"
] | Current State: 42:[70, 28, 7, 4], Operations: []
Exploring Operation: 70/7=10, Resulting Numbers: [28, 4, 10]
Generated Node #2: [28, 4, 10] from Operation: 70/7=10
Current State: 42:[28, 4, 10], Operations: ['70/7=10']
Exploring Operation: 28+4=32, Resulting Numbers: [10, 32]
Generated Node #3: [10, 32] from Operation: 28+4=32
Current State: 42:[10, 32], Operations: ['70/7=10', '28+4=32']
Exploring Operation: 10+32=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
11,
29,
56,
18
] | 65 | [
"29-18=11",
"11*11=121",
"121-56=65"
] | Current State: 65:[11, 29, 56, 18], Operations: []
Exploring Operation: 29-18=11, Resulting Numbers: [11, 56, 11]
Generated Node #2: [11, 56, 11] from Operation: 29-18=11
Current State: 65:[11, 56, 11], Operations: ['29-18=11']
Exploring Operation: 11*11=121, Resulting Numbers: [56, 121]
Generated Node #3: [56, 121] from Operation: 11*11=121
Current State: 65:[56, 121], Operations: ['29-18=11', '11*11=121']
Exploring Operation: 121-56=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
56,
26,
23,
3
] | 33 | [
"56-26=30",
"30/3=10",
"23+10=33"
] | Current State: 33:[56, 26, 23, 3], Operations: []
Exploring Operation: 56-26=30, Resulting Numbers: [23, 3, 30]
Generated Node #2: [23, 3, 30] from Operation: 56-26=30
Current State: 33:[23, 3, 30], Operations: ['56-26=30']
Exploring Operation: 30/3=10, Resulting Numbers: [23, 10]
Generated Node #3: [23, 10] from Operation: 30/3=10
Current State: 33:[23, 10], Operations: ['56-26=30', '30/3=10']
Exploring Operation: 23+10=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
24,
62,
99,
37
] | 100 | [
"62-24=38",
"99-37=62",
"38+62=100"
] | Current State: 100:[24, 62, 99, 37], Operations: []
Exploring Operation: 62-24=38, Resulting Numbers: [99, 37, 38]
Generated Node #2: [99, 37, 38] from Operation: 62-24=38
Current State: 100:[99, 37, 38], Operations: ['62-24=38']
Exploring Operation: 99-37=62, Resulting Numbers: [38, 62]
Generated Node #3: [38, 62] from Operation: 99-37=62
Current State: 100:[38, 62], Operations: ['62-24=38', '99-37=62']
Exploring Operation: 38+62=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
17,
38,
8,
15
] | 62 | [
"17+38=55",
"15-8=7",
"55+7=62"
] | Current State: 62:[17, 38, 8, 15], Operations: []
Exploring Operation: 17+38=55, Resulting Numbers: [8, 15, 55]
Generated Node #2: [8, 15, 55] from Operation: 17+38=55
Current State: 62:[8, 15, 55], Operations: ['17+38=55']
Exploring Operation: 15-8=7, Resulting Numbers: [55, 7]
Generated Node #3: [55, 7] from Operation: 15-8=7
Current State: 62:[55, 7], Operations: ['17+38=55', '15-8=7']
Exploring Operation: 55+7=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
74,
26,
80,
75
] | 45 | [
"74-26=48",
"75*48=3600",
"3600/80=45"
] | Current State: 45:[74, 26, 80, 75], Operations: []
Exploring Operation: 74-26=48, Resulting Numbers: [80, 75, 48]
Generated Node #2: [80, 75, 48] from Operation: 74-26=48
Current State: 45:[80, 75, 48], Operations: ['74-26=48']
Exploring Operation: 75*48=3600, Resulting Numbers: [80, 3600]
Generated Node #3: [80, 3600] from Operation: 75*48=3600
Current State: 45:[80, 3600], Operations: ['74-26=48', '75*48=3600']
Exploring Operation: 3600/80=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
63,
25,
60,
11
] | 58 | [
"63-60=3",
"11*3=33",
"25+33=58"
] | Current State: 58:[63, 25, 60, 11], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [25, 11, 3]
Generated Node #2: [25, 11, 3] from Operation: 63-60=3
Current State: 58:[25, 11, 3], Operations: ['63-60=3']
Exploring Operation: 11*3=33, Resulting Numbers: [25, 33]
Generated Node #3: [25, 33] from Operation: 11*3=33
Current State: 58:[25, 33], Operations: ['63-60=3', '11*3=33']
Exploring Operation: 25+33=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
5,
4,
58,
36
] | 93 | [
"5-4=1",
"58+36=94",
"94-1=93"
] | Current State: 93:[5, 4, 58, 36], Operations: []
Exploring Operation: 5-4=1, Resulting Numbers: [58, 36, 1]
Generated Node #2: [58, 36, 1] from Operation: 5-4=1
Current State: 93:[58, 36, 1], Operations: ['5-4=1']
Exploring Operation: 58+36=94, Resulting Numbers: [1, 94]
Generated Node #3: [1, 94] from Operation: 58+36=94
Current State: 93:[1, 94], Operations: ['5-4=1', '58+36=94']
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
21,
72,
35,
65
] | 38 | [
"72-65=7",
"21/7=3",
"35+3=38"
] | Current State: 38:[21, 72, 35, 65], Operations: []
Exploring Operation: 72-65=7, Resulting Numbers: [21, 35, 7]
Generated Node #2: [21, 35, 7] from Operation: 72-65=7
Current State: 38:[21, 35, 7], Operations: ['72-65=7']
Exploring Operation: 21/7=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 21/7=3
Current State: 38:[35, 3], Operations: ['72-65=7', '21/7=3']
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
15,
97,
56,
7
] | 33 | [
"97-15=82",
"56-7=49",
"82-49=33"
] | Current State: 33:[15, 97, 56, 7], Operations: []
Exploring Operation: 97-15=82, Resulting Numbers: [56, 7, 82]
Generated Node #2: [56, 7, 82] from Operation: 97-15=82
Current State: 33:[56, 7, 82], Operations: ['97-15=82']
Exploring Operation: 56-7=49, Resulting Numbers: [82, 49]
Generated Node #3: [82, 49] from Operation: 56-7=49
Current State: 33:[82, 49], Operations: ['97-15=82', '56-7=49']
Exploring Operation: 82-49=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
72,
98,
23,
77
] | 74 | [
"98-72=26",
"23+77=100",
"100-26=74"
] | Current State: 74:[72, 98, 23, 77], Operations: []
Exploring Operation: 98-72=26, Resulting Numbers: [23, 77, 26]
Generated Node #2: [23, 77, 26] from Operation: 98-72=26
Current State: 74:[23, 77, 26], Operations: ['98-72=26']
Exploring Operation: 23+77=100, Resulting Numbers: [26, 100]
Generated Node #3: [26, 100] from Operation: 23+77=100
Current State: 74:[26, 100], Operations: ['98-72=26', '23+77=100']
Exploring Operation: 100-26=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
20,
45,
42,
3
] | 20 | [
"20+45=65",
"42+3=45",
"65-45=20"
] | Current State: 20:[20, 45, 42, 3], Operations: []
Exploring Operation: 20+45=65, Resulting Numbers: [42, 3, 65]
Generated Node #2: [42, 3, 65] from Operation: 20+45=65
Current State: 20:[42, 3, 65], Operations: ['20+45=65']
Exploring Operation: 42+3=45, Resulting Numbers: [65, 45]
Generated Node #3: [65, 45] from Operation: 42+3=45
Current State: 20:[65, 45], Operations: ['20+45=65', '42+3=45']
Exploring Operation: 65-45=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
81,
66,
81,
85
] | 19 | [
"81+66=147",
"81+85=166",
"166-147=19"
] | Current State: 19:[81, 66, 81, 85], Operations: []
Exploring Operation: 81+66=147, Resulting Numbers: [85, 147]
Generated Node #2: [85, 147] from Operation: 81+66=147
Current State: 19:[85, 147], Operations: ['81+66=147']
Exploring Operation: 81+85=166, Resulting Numbers: [147, 166]
Generated Node #3: [147, 166] from Operation: 81+85=166
Current State: 19:[147, 166], Operations: ['81+66=147', '81+85=166']
Exploring Operation: 166-147=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
18,
15,
1,
23
] | 20 | [
"18-15=3",
"1*23=23",
"23-3=20"
] | Current State: 20:[18, 15, 1, 23], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [1, 23, 3]
Generated Node #2: [1, 23, 3] from Operation: 18-15=3
Current State: 20:[1, 23, 3], Operations: ['18-15=3']
Exploring Operation: 1*23=23, Resulting Numbers: [3, 23]
Generated Node #3: [3, 23] from Operation: 1*23=23
Current State: 20:[3, 23], Operations: ['18-15=3', '1*23=23']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
73,
98,
22,
4
] | 78 | [
"98-73=25",
"4*25=100",
"100-22=78"
] | Current State: 78:[73, 98, 22, 4], Operations: []
Exploring Operation: 98-73=25, Resulting Numbers: [22, 4, 25]
Generated Node #2: [22, 4, 25] from Operation: 98-73=25
Current State: 78:[22, 4, 25], Operations: ['98-73=25']
Exploring Operation: 4*25=100, Resulting Numbers: [22, 100]
Generated Node #3: [22, 100] from Operation: 4*25=100
Current State: 78:[22, 100], Operations: ['98-73=25', '4*25=100']
Exploring Operation: 100-22=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
37,
8,
15,
8
] | 91 | [
"37-8=29",
"15*8=120",
"120-29=91"
] | Current State: 91:[37, 8, 15, 8], Operations: []
Exploring Operation: 37-8=29, Resulting Numbers: [15, 29]
Generated Node #2: [15, 29] from Operation: 37-8=29
Current State: 91:[15, 29], Operations: ['37-8=29']
Exploring Operation: 15*8=120, Resulting Numbers: [29, 120]
Generated Node #3: [29, 120] from Operation: 15*8=120
Current State: 91:[29, 120], Operations: ['37-8=29', '15*8=120']
Exploring Operation: 120-29=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
45,
50,
99,
98
] | 94 | [
"45+50=95",
"99-98=1",
"95-1=94"
] | Current State: 94:[45, 50, 99, 98], Operations: []
Exploring Operation: 45+50=95, Resulting Numbers: [99, 98, 95]
Generated Node #2: [99, 98, 95] from Operation: 45+50=95
Current State: 94:[99, 98, 95], Operations: ['45+50=95']
Exploring Operation: 99-98=1, Resulting Numbers: [95, 1]
Generated Node #3: [95, 1] from Operation: 99-98=1
Current State: 94:[95, 1], Operations: ['45+50=95', '99-98=1']
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
12,
93,
64,
53
] | 93 | [
"64-12=52",
"53-52=1",
"93*1=93"
] | Current State: 93:[12, 93, 64, 53], Operations: []
Exploring Operation: 64-12=52, Resulting Numbers: [93, 53, 52]
Generated Node #2: [93, 53, 52] from Operation: 64-12=52
Current State: 93:[93, 53, 52], Operations: ['64-12=52']
Exploring Operation: 53-52=1, Resulting Numbers: [93, 1]
Generated Node #3: [93, 1] from Operation: 53-52=1
Current State: 93:[93, 1], Operations: ['64-12=52', '53-52=1']
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
2,
26,
35,
2
] | 48 | [
"2+35=37",
"2*37=74",
"74-26=48"
] | Current State: 48:[2, 26, 35, 2], Operations: []
Exploring Operation: 2+35=37, Resulting Numbers: [26, 37]
Generated Node #2: [26, 37] from Operation: 2+35=37
Current State: 48:[26, 37], Operations: ['2+35=37']
Exploring Operation: 2*37=74, Resulting Numbers: [26, 74]
Generated Node #3: [26, 74] from Operation: 2*37=74
Current State: 48:[26, 74], Operations: ['2+35=37', '2*37=74']
Exploring Operation: 74-26=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
38,
56,
76,
65
] | 29 | [
"56-38=18",
"76-65=11",
"18+11=29"
] | Current State: 29:[38, 56, 76, 65], Operations: []
Exploring Operation: 56-38=18, Resulting Numbers: [76, 65, 18]
Generated Node #2: [76, 65, 18] from Operation: 56-38=18
Current State: 29:[76, 65, 18], Operations: ['56-38=18']
Exploring Operation: 76-65=11, Resulting Numbers: [18, 11]
Generated Node #3: [18, 11] from Operation: 76-65=11
Current State: 29:[18, 11], Operations: ['56-38=18', '76-65=11']
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
22,
8,
41,
97
] | 86 | [
"22+8=30",
"97-41=56",
"30+56=86"
] | Current State: 86:[22, 8, 41, 97], Operations: []
Exploring Operation: 22+8=30, Resulting Numbers: [41, 97, 30]
Generated Node #2: [41, 97, 30] from Operation: 22+8=30
Current State: 86:[41, 97, 30], Operations: ['22+8=30']
Exploring Operation: 97-41=56, Resulting Numbers: [30, 56]
Generated Node #3: [30, 56] from Operation: 97-41=56
Current State: 86:[30, 56], Operations: ['22+8=30', '97-41=56']
Exploring Operation: 30+56=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
12,
44,
72,
17
] | 32 | [
"12*72=864",
"44-17=27",
"864/27=32"
] | Current State: 32:[12, 44, 72, 17], Operations: []
Exploring Operation: 12*72=864, Resulting Numbers: [44, 17, 864]
Generated Node #2: [44, 17, 864] from Operation: 12*72=864
Current State: 32:[44, 17, 864], Operations: ['12*72=864']
Exploring Operation: 44-17=27, Resulting Numbers: [864, 27]
Generated Node #3: [864, 27] from Operation: 44-17=27
Current State: 32:[864, 27], Operations: ['12*72=864', '44-17=27']
Exploring Operation: 864/27=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
31,
15,
53,
27
] | 10 | [
"31-15=16",
"53-27=26",
"26-16=10"
] | Current State: 10:[31, 15, 53, 27], Operations: []
Exploring Operation: 31-15=16, Resulting Numbers: [53, 27, 16]
Generated Node #2: [53, 27, 16] from Operation: 31-15=16
Current State: 10:[53, 27, 16], Operations: ['31-15=16']
Exploring Operation: 53-27=26, Resulting Numbers: [16, 26]
Generated Node #3: [16, 26] from Operation: 53-27=26
Current State: 10:[16, 26], Operations: ['31-15=16', '53-27=26']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
89,
86,
33,
97
] | 86 | [
"89-86=3",
"33/3=11",
"97-11=86"
] | Current State: 86:[89, 86, 33, 97], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [33, 97, 3]
Generated Node #2: [33, 97, 3] from Operation: 89-86=3
Current State: 86:[33, 97, 3], Operations: ['89-86=3']
Exploring Operation: 33/3=11, Resulting Numbers: [97, 11]
Generated Node #3: [97, 11] from Operation: 33/3=11
Current State: 86:[97, 11], Operations: ['89-86=3', '33/3=11']
Exploring Operation: 97-11=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
49,
24,
5,
2
] | 15 | [
"49+24=73",
"2+73=75",
"75/5=15"
] | Current State: 15:[49, 24, 5, 2], Operations: []
Exploring Operation: 49+24=73, Resulting Numbers: [5, 2, 73]
Generated Node #2: [5, 2, 73] from Operation: 49+24=73
Current State: 15:[5, 2, 73], Operations: ['49+24=73']
Exploring Operation: 2+73=75, Resulting Numbers: [5, 75]
Generated Node #3: [5, 75] from Operation: 2+73=75
Current State: 15:[5, 75], Operations: ['49+24=73', '2+73=75']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
86,
60,
95,
2
] | 78 | [
"95-86=9",
"2*9=18",
"60+18=78"
] | Current State: 78:[86, 60, 95, 2], Operations: []
Exploring Operation: 95-86=9, Resulting Numbers: [60, 2, 9]
Generated Node #2: [60, 2, 9] from Operation: 95-86=9
Current State: 78:[60, 2, 9], Operations: ['95-86=9']
Exploring Operation: 2*9=18, Resulting Numbers: [60, 18]
Generated Node #3: [60, 18] from Operation: 2*9=18
Current State: 78:[60, 18], Operations: ['95-86=9', '2*9=18']
Exploring Operation: 60+18=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
5,
28,
55,
6
] | 33 | [
"55/5=11",
"28-6=22",
"11+22=33"
] | Current State: 33:[5, 28, 55, 6], Operations: []
Exploring Operation: 55/5=11, Resulting Numbers: [28, 6, 11]
Generated Node #2: [28, 6, 11] from Operation: 55/5=11
Current State: 33:[28, 6, 11], Operations: ['55/5=11']
Exploring Operation: 28-6=22, Resulting Numbers: [11, 22]
Generated Node #3: [11, 22] from Operation: 28-6=22
Current State: 33:[11, 22], Operations: ['55/5=11', '28-6=22']
Exploring Operation: 11+22=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
36,
22,
74,
25
] | 52 | [
"74*25=1850",
"22+1850=1872",
"1872/36=52"
] | Current State: 52:[36, 22, 74, 25], Operations: []
Exploring Operation: 74*25=1850, Resulting Numbers: [36, 22, 1850]
Generated Node #2: [36, 22, 1850] from Operation: 74*25=1850
Current State: 52:[36, 22, 1850], Operations: ['74*25=1850']
Exploring Operation: 22+1850=1872, Resulting Numbers: [36, 1872]
Generated Node #3: [36, 1872] from Operation: 22+1850=1872
Current State: 52:[36, 1872], Operations: ['74*25=1850', '22+1850=1872']
Exploring Operation: 1872/36=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
3,
68,
42,
97
] | 45 | [
"97-68=29",
"3*29=87",
"87-42=45"
] | Current State: 45:[3, 68, 42, 97], Operations: []
Exploring Operation: 97-68=29, Resulting Numbers: [3, 42, 29]
Generated Node #2: [3, 42, 29] from Operation: 97-68=29
Current State: 45:[3, 42, 29], Operations: ['97-68=29']
Exploring Operation: 3*29=87, Resulting Numbers: [42, 87]
Generated Node #3: [42, 87] from Operation: 3*29=87
Current State: 45:[42, 87], Operations: ['97-68=29', '3*29=87']
Exploring Operation: 87-42=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
14,
41,
41,
27
] | 41 | [
"14+41=55",
"41-27=14",
"55-14=41"
] | Current State: 41:[14, 41, 41, 27], Operations: []
Exploring Operation: 14+41=55, Resulting Numbers: [27, 55]
Generated Node #2: [27, 55] from Operation: 14+41=55
Current State: 41:[27, 55], Operations: ['14+41=55']
Exploring Operation: 41-27=14, Resulting Numbers: [55, 14]
Generated Node #3: [55, 14] from Operation: 41-27=14
Current State: 41:[55, 14], Operations: ['14+41=55', '41-27=14']
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
48,
66,
54,
56
] | 90 | [
"56-54=2",
"48/2=24",
"66+24=90"
] | Current State: 90:[48, 66, 54, 56], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [48, 66, 2]
Generated Node #2: [48, 66, 2] from Operation: 56-54=2
Current State: 90:[48, 66, 2], Operations: ['56-54=2']
Exploring Operation: 48/2=24, Resulting Numbers: [66, 24]
Generated Node #3: [66, 24] from Operation: 48/2=24
Current State: 90:[66, 24], Operations: ['56-54=2', '48/2=24']
Exploring Operation: 66+24=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
12,
92,
95,
97
] | 40 | [
"92-12=80",
"97-95=2",
"80/2=40"
] | Current State: 40:[12, 92, 95, 97], Operations: []
Exploring Operation: 92-12=80, Resulting Numbers: [95, 97, 80]
Generated Node #2: [95, 97, 80] from Operation: 92-12=80
Current State: 40:[95, 97, 80], Operations: ['92-12=80']
Exploring Operation: 97-95=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 97-95=2
Current State: 40:[80, 2], Operations: ['92-12=80', '97-95=2']
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
22,
43,
48,
36
] | 19 | [
"22+43=65",
"48+36=84",
"84-65=19"
] | Current State: 19:[22, 43, 48, 36], Operations: []
Exploring Operation: 22+43=65, Resulting Numbers: [48, 36, 65]
Generated Node #2: [48, 36, 65] from Operation: 22+43=65
Current State: 19:[48, 36, 65], Operations: ['22+43=65']
Exploring Operation: 48+36=84, Resulting Numbers: [65, 84]
Generated Node #3: [65, 84] from Operation: 48+36=84
Current State: 19:[65, 84], Operations: ['22+43=65', '48+36=84']
Exploring Operation: 84-65=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
59,
2,
94,
28
] | 40 | [
"59+28=87",
"94/2=47",
"87-47=40"
] | Current State: 40:[59, 2, 94, 28], Operations: []
Exploring Operation: 59+28=87, Resulting Numbers: [2, 94, 87]
Generated Node #2: [2, 94, 87] from Operation: 59+28=87
Current State: 40:[2, 94, 87], Operations: ['59+28=87']
Exploring Operation: 94/2=47, Resulting Numbers: [87, 47]
Generated Node #3: [87, 47] from Operation: 94/2=47
Current State: 40:[87, 47], Operations: ['59+28=87', '94/2=47']
Exploring Operation: 87-47=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
36,
54,
12,
72
] | 64 | [
"36+12=48",
"72*48=3456",
"3456/54=64"
] | Current State: 64:[36, 54, 12, 72], Operations: []
Exploring Operation: 36+12=48, Resulting Numbers: [54, 72, 48]
Generated Node #2: [54, 72, 48] from Operation: 36+12=48
Current State: 64:[54, 72, 48], Operations: ['36+12=48']
Exploring Operation: 72*48=3456, Resulting Numbers: [54, 3456]
Generated Node #3: [54, 3456] from Operation: 72*48=3456
Current State: 64:[54, 3456], Operations: ['36+12=48', '72*48=3456']
Exploring Operation: 3456/54=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
75,
20,
80,
32
] | 25 | [
"20*80=1600",
"1600/32=50",
"75-50=25"
] | Current State: 25:[75, 20, 80, 32], Operations: []
Exploring Operation: 20*80=1600, Resulting Numbers: [75, 32, 1600]
Generated Node #2: [75, 32, 1600] from Operation: 20*80=1600
Current State: 25:[75, 32, 1600], Operations: ['20*80=1600']
Exploring Operation: 1600/32=50, Resulting Numbers: [75, 50]
Generated Node #3: [75, 50] from Operation: 1600/32=50
Current State: 25:[75, 50], Operations: ['20*80=1600', '1600/32=50']
Exploring Operation: 75-50=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
34,
38,
36,
13
] | 54 | [
"38+13=51",
"36*51=1836",
"1836/34=54"
] | Current State: 54:[34, 38, 36, 13], Operations: []
Exploring Operation: 38+13=51, Resulting Numbers: [34, 36, 51]
Generated Node #2: [34, 36, 51] from Operation: 38+13=51
Current State: 54:[34, 36, 51], Operations: ['38+13=51']
Exploring Operation: 36*51=1836, Resulting Numbers: [34, 1836]
Generated Node #3: [34, 1836] from Operation: 36*51=1836
Current State: 54:[34, 1836], Operations: ['38+13=51', '36*51=1836']
Exploring Operation: 1836/34=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
45,
80,
54,
90
] | 71 | [
"80-45=35",
"90-54=36",
"35+36=71"
] | Current State: 71:[45, 80, 54, 90], Operations: []
Exploring Operation: 80-45=35, Resulting Numbers: [54, 90, 35]
Generated Node #2: [54, 90, 35] from Operation: 80-45=35
Current State: 71:[54, 90, 35], Operations: ['80-45=35']
Exploring Operation: 90-54=36, Resulting Numbers: [35, 36]
Generated Node #3: [35, 36] from Operation: 90-54=36
Current State: 71:[35, 36], Operations: ['80-45=35', '90-54=36']
Exploring Operation: 35+36=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
3,
97,
74,
66
] | 79 | [
"97+74=171",
"66+171=237",
"237/3=79"
] | Current State: 79:[3, 97, 74, 66], Operations: []
Exploring Operation: 97+74=171, Resulting Numbers: [3, 66, 171]
Generated Node #2: [3, 66, 171] from Operation: 97+74=171
Current State: 79:[3, 66, 171], Operations: ['97+74=171']
Exploring Operation: 66+171=237, Resulting Numbers: [3, 237]
Generated Node #3: [3, 237] from Operation: 66+171=237
Current State: 79:[3, 237], Operations: ['97+74=171', '66+171=237']
Exploring Operation: 237/3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
58,
92,
24,
29
] | 22 | [
"58/29=2",
"92/2=46",
"46-24=22"
] | Current State: 22:[58, 92, 24, 29], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [92, 24, 2]
Generated Node #2: [92, 24, 2] from Operation: 58/29=2
Current State: 22:[92, 24, 2], Operations: ['58/29=2']
Exploring Operation: 92/2=46, Resulting Numbers: [24, 46]
Generated Node #3: [24, 46] from Operation: 92/2=46
Current State: 22:[24, 46], Operations: ['58/29=2', '92/2=46']
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
33,
22,
6,
31
] | 34 | [
"33-31=2",
"6*2=12",
"22+12=34"
] | Current State: 34:[33, 22, 6, 31], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [22, 6, 2]
Generated Node #2: [22, 6, 2] from Operation: 33-31=2
Current State: 34:[22, 6, 2], Operations: ['33-31=2']
Exploring Operation: 6*2=12, Resulting Numbers: [22, 12]
Generated Node #3: [22, 12] from Operation: 6*2=12
Current State: 34:[22, 12], Operations: ['33-31=2', '6*2=12']
Exploring Operation: 22+12=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
98,
2,
76,
46
] | 64 | [
"98+76=174",
"174-46=128",
"128/2=64"
] | Current State: 64:[98, 2, 76, 46], Operations: []
Exploring Operation: 98+76=174, Resulting Numbers: [2, 46, 174]
Generated Node #2: [2, 46, 174] from Operation: 98+76=174
Current State: 64:[2, 46, 174], Operations: ['98+76=174']
Exploring Operation: 174-46=128, Resulting Numbers: [2, 128]
Generated Node #3: [2, 128] from Operation: 174-46=128
Current State: 64:[2, 128], Operations: ['98+76=174', '174-46=128']
Exploring Operation: 128/2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
66,
73,
15,
10
] | 12 | [
"73-66=7",
"15-10=5",
"7+5=12"
] | Current State: 12:[66, 73, 15, 10], Operations: []
Exploring Operation: 73-66=7, Resulting Numbers: [15, 10, 7]
Generated Node #2: [15, 10, 7] from Operation: 73-66=7
Current State: 12:[15, 10, 7], Operations: ['73-66=7']
Exploring Operation: 15-10=5, Resulting Numbers: [7, 5]
Generated Node #3: [7, 5] from Operation: 15-10=5
Current State: 12:[7, 5], Operations: ['73-66=7', '15-10=5']
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
61,
26,
52,
10
] | 81 | [
"52/26=2",
"10*2=20",
"61+20=81"
] | Current State: 81:[61, 26, 52, 10], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [61, 10, 2]
Generated Node #2: [61, 10, 2] from Operation: 52/26=2
Current State: 81:[61, 10, 2], Operations: ['52/26=2']
Exploring Operation: 10*2=20, Resulting Numbers: [61, 20]
Generated Node #3: [61, 20] from Operation: 10*2=20
Current State: 81:[61, 20], Operations: ['52/26=2', '10*2=20']
Exploring Operation: 61+20=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
76,
42,
38,
99
] | 78 | [
"76/38=2",
"42/2=21",
"99-21=78"
] | Current State: 78:[76, 42, 38, 99], Operations: []
Exploring Operation: 76/38=2, Resulting Numbers: [42, 99, 2]
Generated Node #2: [42, 99, 2] from Operation: 76/38=2
Current State: 78:[42, 99, 2], Operations: ['76/38=2']
Exploring Operation: 42/2=21, Resulting Numbers: [99, 21]
Generated Node #3: [99, 21] from Operation: 42/2=21
Current State: 78:[99, 21], Operations: ['76/38=2', '42/2=21']
Exploring Operation: 99-21=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
41,
33,
31,
6
] | 17 | [
"41-33=8",
"31-6=25",
"25-8=17"
] | Current State: 17:[41, 33, 31, 6], Operations: []
Exploring Operation: 41-33=8, Resulting Numbers: [31, 6, 8]
Generated Node #2: [31, 6, 8] from Operation: 41-33=8
Current State: 17:[31, 6, 8], Operations: ['41-33=8']
Exploring Operation: 31-6=25, Resulting Numbers: [8, 25]
Generated Node #3: [8, 25] from Operation: 31-6=25
Current State: 17:[8, 25], Operations: ['41-33=8', '31-6=25']
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
41,
48,
4,
39
] | 40 | [
"41-39=2",
"4*2=8",
"48-8=40"
] | Current State: 40:[41, 48, 4, 39], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [48, 4, 2]
Generated Node #2: [48, 4, 2] from Operation: 41-39=2
Current State: 40:[48, 4, 2], Operations: ['41-39=2']
Exploring Operation: 4*2=8, Resulting Numbers: [48, 8]
Generated Node #3: [48, 8] from Operation: 4*2=8
Current State: 40:[48, 8], Operations: ['41-39=2', '4*2=8']
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
31,
15,
2,
56
] | 21 | [
"31*2=62",
"56-15=41",
"62-41=21"
] | Current State: 21:[31, 15, 2, 56], Operations: []
Exploring Operation: 31*2=62, Resulting Numbers: [15, 56, 62]
Generated Node #2: [15, 56, 62] from Operation: 31*2=62
Current State: 21:[15, 56, 62], Operations: ['31*2=62']
Exploring Operation: 56-15=41, Resulting Numbers: [62, 41]
Generated Node #3: [62, 41] from Operation: 56-15=41
Current State: 21:[62, 41], Operations: ['31*2=62', '56-15=41']
Exploring Operation: 62-41=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
38,
1,
93,
2
] | 27 | [
"38+1=39",
"93-39=54",
"54/2=27"
] | Current State: 27:[38, 1, 93, 2], Operations: []
Exploring Operation: 38+1=39, Resulting Numbers: [93, 2, 39]
Generated Node #2: [93, 2, 39] from Operation: 38+1=39
Current State: 27:[93, 2, 39], Operations: ['38+1=39']
Exploring Operation: 93-39=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 93-39=54
Current State: 27:[2, 54], Operations: ['38+1=39', '93-39=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
12,
95,
36,
39
] | 88 | [
"95*36=3420",
"12+3420=3432",
"3432/39=88"
] | Current State: 88:[12, 95, 36, 39], Operations: []
Exploring Operation: 95*36=3420, Resulting Numbers: [12, 39, 3420]
Generated Node #2: [12, 39, 3420] from Operation: 95*36=3420
Current State: 88:[12, 39, 3420], Operations: ['95*36=3420']
Exploring Operation: 12+3420=3432, Resulting Numbers: [39, 3432]
Generated Node #3: [39, 3432] from Operation: 12+3420=3432
Current State: 88:[39, 3432], Operations: ['95*36=3420', '12+3420=3432']
Exploring Operation: 3432/39=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
68,
17,
93,
79
] | 56 | [
"68/17=4",
"93-79=14",
"4*14=56"
] | Current State: 56:[68, 17, 93, 79], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [93, 79, 4]
Generated Node #2: [93, 79, 4] from Operation: 68/17=4
Current State: 56:[93, 79, 4], Operations: ['68/17=4']
Exploring Operation: 93-79=14, Resulting Numbers: [4, 14]
Generated Node #3: [4, 14] from Operation: 93-79=14
Current State: 56:[4, 14], Operations: ['68/17=4', '93-79=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
82,
64,
86,
12
] | 16 | [
"86-82=4",
"12*4=48",
"64-48=16"
] | Current State: 16:[82, 64, 86, 12], Operations: []
Exploring Operation: 86-82=4, Resulting Numbers: [64, 12, 4]
Generated Node #2: [64, 12, 4] from Operation: 86-82=4
Current State: 16:[64, 12, 4], Operations: ['86-82=4']
Exploring Operation: 12*4=48, Resulting Numbers: [64, 48]
Generated Node #3: [64, 48] from Operation: 12*4=48
Current State: 16:[64, 48], Operations: ['86-82=4', '12*4=48']
Exploring Operation: 64-48=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
30,
27,
19,
70
] | 67 | [
"30+27=57",
"57/19=3",
"70-3=67"
] | Current State: 67:[30, 27, 19, 70], Operations: []
Exploring Operation: 30+27=57, Resulting Numbers: [19, 70, 57]
Generated Node #2: [19, 70, 57] from Operation: 30+27=57
Current State: 67:[19, 70, 57], Operations: ['30+27=57']
Exploring Operation: 57/19=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 57/19=3
Current State: 67:[70, 3], Operations: ['30+27=57', '57/19=3']
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
20,
55,
79,
52
] | 96 | [
"55-20=35",
"79+52=131",
"131-35=96"
] | Current State: 96:[20, 55, 79, 52], Operations: []
Exploring Operation: 55-20=35, Resulting Numbers: [79, 52, 35]
Generated Node #2: [79, 52, 35] from Operation: 55-20=35
Current State: 96:[79, 52, 35], Operations: ['55-20=35']
Exploring Operation: 79+52=131, Resulting Numbers: [35, 131]
Generated Node #3: [35, 131] from Operation: 79+52=131
Current State: 96:[35, 131], Operations: ['55-20=35', '79+52=131']
Exploring Operation: 131-35=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
80,
94,
2,
33
] | 99 | [
"80*2=160",
"94-33=61",
"160-61=99"
] | Current State: 99:[80, 94, 2, 33], Operations: []
Exploring Operation: 80*2=160, Resulting Numbers: [94, 33, 160]
Generated Node #2: [94, 33, 160] from Operation: 80*2=160
Current State: 99:[94, 33, 160], Operations: ['80*2=160']
Exploring Operation: 94-33=61, Resulting Numbers: [160, 61]
Generated Node #3: [160, 61] from Operation: 94-33=61
Current State: 99:[160, 61], Operations: ['80*2=160', '94-33=61']
Exploring Operation: 160-61=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
51,
26,
27,
29
] | 44 | [
"29-26=3",
"51/3=17",
"27+17=44"
] | Current State: 44:[51, 26, 27, 29], Operations: []
Exploring Operation: 29-26=3, Resulting Numbers: [51, 27, 3]
Generated Node #2: [51, 27, 3] from Operation: 29-26=3
Current State: 44:[51, 27, 3], Operations: ['29-26=3']
Exploring Operation: 51/3=17, Resulting Numbers: [27, 17]
Generated Node #3: [27, 17] from Operation: 51/3=17
Current State: 44:[27, 17], Operations: ['29-26=3', '51/3=17']
Exploring Operation: 27+17=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
6,
49,
50,
27
] | 34 | [
"49-6=43",
"50+27=77",
"77-43=34"
] | Current State: 34:[6, 49, 50, 27], Operations: []
Exploring Operation: 49-6=43, Resulting Numbers: [50, 27, 43]
Generated Node #2: [50, 27, 43] from Operation: 49-6=43
Current State: 34:[50, 27, 43], Operations: ['49-6=43']
Exploring Operation: 50+27=77, Resulting Numbers: [43, 77]
Generated Node #3: [43, 77] from Operation: 50+27=77
Current State: 34:[43, 77], Operations: ['49-6=43', '50+27=77']
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
86,
82,
33,
33
] | 62 | [
"86-82=4",
"33+33=66",
"66-4=62"
] | Current State: 62:[86, 82, 33, 33], Operations: []
Exploring Operation: 86-82=4, Resulting Numbers: [33, 33, 4]
Generated Node #2: [33, 33, 4] from Operation: 86-82=4
Current State: 62:[33, 33, 4], Operations: ['86-82=4']
Exploring Operation: 33+33=66, Resulting Numbers: [4, 66]
Generated Node #3: [4, 66] from Operation: 33+33=66
Current State: 62:[4, 66], Operations: ['86-82=4', '33+33=66']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
13,
42,
15,
35
] | 14 | [
"15-13=2",
"42-35=7",
"2*7=14"
] | Current State: 14:[13, 42, 15, 35], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [42, 35, 2]
Generated Node #2: [42, 35, 2] from Operation: 15-13=2
Current State: 14:[42, 35, 2], Operations: ['15-13=2']
Exploring Operation: 42-35=7, Resulting Numbers: [2, 7]
Generated Node #3: [2, 7] from Operation: 42-35=7
Current State: 14:[2, 7], Operations: ['15-13=2', '42-35=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
19,
48,
11,
70
] | 30 | [
"48-19=29",
"70-11=59",
"59-29=30"
] | Current State: 30:[19, 48, 11, 70], Operations: []
Exploring Operation: 48-19=29, Resulting Numbers: [11, 70, 29]
Generated Node #2: [11, 70, 29] from Operation: 48-19=29
Current State: 30:[11, 70, 29], Operations: ['48-19=29']
Exploring Operation: 70-11=59, Resulting Numbers: [29, 59]
Generated Node #3: [29, 59] from Operation: 70-11=59
Current State: 30:[29, 59], Operations: ['48-19=29', '70-11=59']
Exploring Operation: 59-29=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
16,
7,
44,
90
] | 94 | [
"44-16=28",
"28/7=4",
"90+4=94"
] | Current State: 94:[16, 7, 44, 90], Operations: []
Exploring Operation: 44-16=28, Resulting Numbers: [7, 90, 28]
Generated Node #2: [7, 90, 28] from Operation: 44-16=28
Current State: 94:[7, 90, 28], Operations: ['44-16=28']
Exploring Operation: 28/7=4, Resulting Numbers: [90, 4]
Generated Node #3: [90, 4] from Operation: 28/7=4
Current State: 94:[90, 4], Operations: ['44-16=28', '28/7=4']
Exploring Operation: 90+4=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
85,
99,
38,
60
] | 36 | [
"99-85=14",
"60-38=22",
"14+22=36"
] | Current State: 36:[85, 99, 38, 60], Operations: []
Exploring Operation: 99-85=14, Resulting Numbers: [38, 60, 14]
Generated Node #2: [38, 60, 14] from Operation: 99-85=14
Current State: 36:[38, 60, 14], Operations: ['99-85=14']
Exploring Operation: 60-38=22, Resulting Numbers: [14, 22]
Generated Node #3: [14, 22] from Operation: 60-38=22
Current State: 36:[14, 22], Operations: ['99-85=14', '60-38=22']
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
43,
26,
39,
86
] | 63 | [
"86/43=2",
"26+39=65",
"65-2=63"
] | Current State: 63:[43, 26, 39, 86], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [26, 39, 2]
Generated Node #2: [26, 39, 2] from Operation: 86/43=2
Current State: 63:[26, 39, 2], Operations: ['86/43=2']
Exploring Operation: 26+39=65, Resulting Numbers: [2, 65]
Generated Node #3: [2, 65] from Operation: 26+39=65
Current State: 63:[2, 65], Operations: ['86/43=2', '26+39=65']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
39,
13,
93,
79
] | 40 | [
"39-13=26",
"93-79=14",
"26+14=40"
] | Current State: 40:[39, 13, 93, 79], Operations: []
Exploring Operation: 39-13=26, Resulting Numbers: [93, 79, 26]
Generated Node #2: [93, 79, 26] from Operation: 39-13=26
Current State: 40:[93, 79, 26], Operations: ['39-13=26']
Exploring Operation: 93-79=14, Resulting Numbers: [26, 14]
Generated Node #3: [26, 14] from Operation: 93-79=14
Current State: 40:[26, 14], Operations: ['39-13=26', '93-79=14']
Exploring Operation: 26+14=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
22,
61,
59,
37
] | 61 | [
"22+61=83",
"59-37=22",
"83-22=61"
] | Current State: 61:[22, 61, 59, 37], Operations: []
Exploring Operation: 22+61=83, Resulting Numbers: [59, 37, 83]
Generated Node #2: [59, 37, 83] from Operation: 22+61=83
Current State: 61:[59, 37, 83], Operations: ['22+61=83']
Exploring Operation: 59-37=22, Resulting Numbers: [83, 22]
Generated Node #3: [83, 22] from Operation: 59-37=22
Current State: 61:[83, 22], Operations: ['22+61=83', '59-37=22']
Exploring Operation: 83-22=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
15,
56,
46,
54
] | 76 | [
"56-54=2",
"15*2=30",
"46+30=76"
] | Current State: 76:[15, 56, 46, 54], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [15, 46, 2]
Generated Node #2: [15, 46, 2] from Operation: 56-54=2
Current State: 76:[15, 46, 2], Operations: ['56-54=2']
Exploring Operation: 15*2=30, Resulting Numbers: [46, 30]
Generated Node #3: [46, 30] from Operation: 15*2=30
Current State: 76:[46, 30], Operations: ['56-54=2', '15*2=30']
Exploring Operation: 46+30=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
41,
37,
8,
3
] | 54 | [
"41+37=78",
"8*3=24",
"78-24=54"
] | Current State: 54:[41, 37, 8, 3], Operations: []
Exploring Operation: 41+37=78, Resulting Numbers: [8, 3, 78]
Generated Node #2: [8, 3, 78] from Operation: 41+37=78
Current State: 54:[8, 3, 78], Operations: ['41+37=78']
Exploring Operation: 8*3=24, Resulting Numbers: [78, 24]
Generated Node #3: [78, 24] from Operation: 8*3=24
Current State: 54:[78, 24], Operations: ['41+37=78', '8*3=24']
Exploring Operation: 78-24=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
40,
69,
63,
15
] | 61 | [
"40+69=109",
"63-15=48",
"109-48=61"
] | Current State: 61:[40, 69, 63, 15], Operations: []
Exploring Operation: 40+69=109, Resulting Numbers: [63, 15, 109]
Generated Node #2: [63, 15, 109] from Operation: 40+69=109
Current State: 61:[63, 15, 109], Operations: ['40+69=109']
Exploring Operation: 63-15=48, Resulting Numbers: [109, 48]
Generated Node #3: [109, 48] from Operation: 63-15=48
Current State: 61:[109, 48], Operations: ['40+69=109', '63-15=48']
Exploring Operation: 109-48=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
10,
26,
54,
42
] | 13 | [
"54-10=44",
"44-42=2",
"26/2=13"
] | Current State: 13:[10, 26, 54, 42], Operations: []
Exploring Operation: 54-10=44, Resulting Numbers: [26, 42, 44]
Generated Node #2: [26, 42, 44] from Operation: 54-10=44
Current State: 13:[26, 42, 44], Operations: ['54-10=44']
Exploring Operation: 44-42=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 44-42=2
Current State: 13:[26, 2], Operations: ['54-10=44', '44-42=2']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
3,
28,
74,
10
] | 25 | [
"3*74=222",
"28+222=250",
"250/10=25"
] | Current State: 25:[3, 28, 74, 10], Operations: []
Exploring Operation: 3*74=222, Resulting Numbers: [28, 10, 222]
Generated Node #2: [28, 10, 222] from Operation: 3*74=222
Current State: 25:[28, 10, 222], Operations: ['3*74=222']
Exploring Operation: 28+222=250, Resulting Numbers: [10, 250]
Generated Node #3: [10, 250] from Operation: 28+222=250
Current State: 25:[10, 250], Operations: ['3*74=222', '28+222=250']
Exploring Operation: 250/10=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
38,
23,
43,
3
] | 61 | [
"38-23=15",
"43+3=46",
"15+46=61"
] | Current State: 61:[38, 23, 43, 3], Operations: []
Exploring Operation: 38-23=15, Resulting Numbers: [43, 3, 15]
Generated Node #2: [43, 3, 15] from Operation: 38-23=15
Current State: 61:[43, 3, 15], Operations: ['38-23=15']
Exploring Operation: 43+3=46, Resulting Numbers: [15, 46]
Generated Node #3: [15, 46] from Operation: 43+3=46
Current State: 61:[15, 46], Operations: ['38-23=15', '43+3=46']
Exploring Operation: 15+46=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
61,
66,
98,
73
] | 44 | [
"61+66=127",
"98+73=171",
"171-127=44"
] | Current State: 44:[61, 66, 98, 73], Operations: []
Exploring Operation: 61+66=127, Resulting Numbers: [98, 73, 127]
Generated Node #2: [98, 73, 127] from Operation: 61+66=127
Current State: 44:[98, 73, 127], Operations: ['61+66=127']
Exploring Operation: 98+73=171, Resulting Numbers: [127, 171]
Generated Node #3: [127, 171] from Operation: 98+73=171
Current State: 44:[127, 171], Operations: ['61+66=127', '98+73=171']
Exploring Operation: 171-127=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
46,
63,
99,
81
] | 55 | [
"81-46=35",
"99*35=3465",
"3465/63=55"
] | Current State: 55:[46, 63, 99, 81], Operations: []
Exploring Operation: 81-46=35, Resulting Numbers: [63, 99, 35]
Generated Node #2: [63, 99, 35] from Operation: 81-46=35
Current State: 55:[63, 99, 35], Operations: ['81-46=35']
Exploring Operation: 99*35=3465, Resulting Numbers: [63, 3465]
Generated Node #3: [63, 3465] from Operation: 99*35=3465
Current State: 55:[63, 3465], Operations: ['81-46=35', '99*35=3465']
Exploring Operation: 3465/63=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
73,
23,
70,
14
] | 10 | [
"73-23=50",
"70/14=5",
"50/5=10"
] | Current State: 10:[73, 23, 70, 14], Operations: []
Exploring Operation: 73-23=50, Resulting Numbers: [70, 14, 50]
Generated Node #2: [70, 14, 50] from Operation: 73-23=50
Current State: 10:[70, 14, 50], Operations: ['73-23=50']
Exploring Operation: 70/14=5, Resulting Numbers: [50, 5]
Generated Node #3: [50, 5] from Operation: 70/14=5
Current State: 10:[50, 5], Operations: ['73-23=50', '70/14=5']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
39,
11,
33,
42
] | 41 | [
"39+11=50",
"42-33=9",
"50-9=41"
] | Current State: 41:[39, 11, 33, 42], Operations: []
Exploring Operation: 39+11=50, Resulting Numbers: [33, 42, 50]
Generated Node #2: [33, 42, 50] from Operation: 39+11=50
Current State: 41:[33, 42, 50], Operations: ['39+11=50']
Exploring Operation: 42-33=9, Resulting Numbers: [50, 9]
Generated Node #3: [50, 9] from Operation: 42-33=9
Current State: 41:[50, 9], Operations: ['39+11=50', '42-33=9']
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
14,
43,
17,
54
] | 39 | [
"14+54=68",
"68/17=4",
"43-4=39"
] | Current State: 39:[14, 43, 17, 54], Operations: []
Exploring Operation: 14+54=68, Resulting Numbers: [43, 17, 68]
Generated Node #2: [43, 17, 68] from Operation: 14+54=68
Current State: 39:[43, 17, 68], Operations: ['14+54=68']
Exploring Operation: 68/17=4, Resulting Numbers: [43, 4]
Generated Node #3: [43, 4] from Operation: 68/17=4
Current State: 39:[43, 4], Operations: ['14+54=68', '68/17=4']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
43,
75,
4,
27
] | 76 | [
"75-43=32",
"4*27=108",
"108-32=76"
] | Current State: 76:[43, 75, 4, 27], Operations: []
Exploring Operation: 75-43=32, Resulting Numbers: [4, 27, 32]
Generated Node #2: [4, 27, 32] from Operation: 75-43=32
Current State: 76:[4, 27, 32], Operations: ['75-43=32']
Exploring Operation: 4*27=108, Resulting Numbers: [32, 108]
Generated Node #3: [32, 108] from Operation: 4*27=108
Current State: 76:[32, 108], Operations: ['75-43=32', '4*27=108']
Exploring Operation: 108-32=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
74,
63,
50,
71
] | 71 | [
"74-71=3",
"63/3=21",
"50+21=71"
] | Current State: 71:[74, 63, 50, 71], Operations: []
Exploring Operation: 74-71=3, Resulting Numbers: [63, 50, 3]
Generated Node #2: [63, 50, 3] from Operation: 74-71=3
Current State: 71:[63, 50, 3], Operations: ['74-71=3']
Exploring Operation: 63/3=21, Resulting Numbers: [50, 21]
Generated Node #3: [50, 21] from Operation: 63/3=21
Current State: 71:[50, 21], Operations: ['74-71=3', '63/3=21']
Exploring Operation: 50+21=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
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