nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
24,
8,
19,
4
] | 26 | [
"24/8=3",
"19+4=23",
"3+23=26"
] | Current State: 26:[24, 8, 19, 4], Operations: []
Exploring Operation: 24/8=3, Resulting Numbers: [19, 4, 3]
Generated Node #2: [19, 4, 3] from Operation: 24/8=3
Current State: 26:[19, 4, 3], Operations: ['24/8=3']
Exploring Operation: 19+4=23, Resulting Numbers: [3, 23]
Generated Node #3: [3, 23] from Operation: 19+4=23
Current State: 26:[3, 23], Operations: ['24/8=3', '19+4=23']
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
92,
47,
66,
27
] | 47 | [
"92-66=26",
"27-26=1",
"47*1=47"
] | Current State: 47:[92, 47, 66, 27], Operations: []
Exploring Operation: 92-66=26, Resulting Numbers: [47, 27, 26]
Generated Node #2: [47, 27, 26] from Operation: 92-66=26
Current State: 47:[47, 27, 26], Operations: ['92-66=26']
Exploring Operation: 27-26=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 27-26=1
Current State: 47:[47, 1], Operations: ['92-66=26', '27-26=1']
Exploring Operation: 47*1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
12,
61,
10,
95
] | 23 | [
"61+95=156",
"156/12=13",
"10+13=23"
] | Current State: 23:[12, 61, 10, 95], Operations: []
Exploring Operation: 61+95=156, Resulting Numbers: [12, 10, 156]
Generated Node #2: [12, 10, 156] from Operation: 61+95=156
Current State: 23:[12, 10, 156], Operations: ['61+95=156']
Exploring Operation: 156/12=13, Resulting Numbers: [10, 13]
Generated Node #3: [10, 13] from Operation: 156/12=13
Current State: 23:[10, 13], Operations: ['61+95=156', '156/12=13']
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
85,
65,
41,
31
] | 78 | [
"85+65=150",
"41+31=72",
"150-72=78"
] | Current State: 78:[85, 65, 41, 31], Operations: []
Exploring Operation: 85+65=150, Resulting Numbers: [41, 31, 150]
Generated Node #2: [41, 31, 150] from Operation: 85+65=150
Current State: 78:[41, 31, 150], Operations: ['85+65=150']
Exploring Operation: 41+31=72, Resulting Numbers: [150, 72]
Generated Node #3: [150, 72] from Operation: 41+31=72
Current State: 78:[150, 72], Operations: ['85+65=150', '41+31=72']
Exploring Operation: 150-72=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
38,
27,
64,
71
] | 58 | [
"38+27=65",
"71-64=7",
"65-7=58"
] | Current State: 58:[38, 27, 64, 71], Operations: []
Exploring Operation: 38+27=65, Resulting Numbers: [64, 71, 65]
Generated Node #2: [64, 71, 65] from Operation: 38+27=65
Current State: 58:[64, 71, 65], Operations: ['38+27=65']
Exploring Operation: 71-64=7, Resulting Numbers: [65, 7]
Generated Node #3: [65, 7] from Operation: 71-64=7
Current State: 58:[65, 7], Operations: ['38+27=65', '71-64=7']
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
2,
4,
72,
52
] | 18 | [
"4-2=2",
"72-52=20",
"20-2=18"
] | Current State: 18:[2, 4, 72, 52], Operations: []
Exploring Operation: 4-2=2, Resulting Numbers: [72, 52, 2]
Generated Node #2: [72, 52, 2] from Operation: 4-2=2
Current State: 18:[72, 52, 2], Operations: ['4-2=2']
Exploring Operation: 72-52=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 72-52=20
Current State: 18:[2, 20], Operations: ['4-2=2', '72-52=20']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
24,
14,
93,
71
] | 12 | [
"24-14=10",
"93-71=22",
"22-10=12"
] | Current State: 12:[24, 14, 93, 71], Operations: []
Exploring Operation: 24-14=10, Resulting Numbers: [93, 71, 10]
Generated Node #2: [93, 71, 10] from Operation: 24-14=10
Current State: 12:[93, 71, 10], Operations: ['24-14=10']
Exploring Operation: 93-71=22, Resulting Numbers: [10, 22]
Generated Node #3: [10, 22] from Operation: 93-71=22
Current State: 12:[10, 22], Operations: ['24-14=10', '93-71=22']
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
14,
66,
91,
59
] | 98 | [
"66-14=52",
"91+59=150",
"150-52=98"
] | Current State: 98:[14, 66, 91, 59], Operations: []
Exploring Operation: 66-14=52, Resulting Numbers: [91, 59, 52]
Generated Node #2: [91, 59, 52] from Operation: 66-14=52
Current State: 98:[91, 59, 52], Operations: ['66-14=52']
Exploring Operation: 91+59=150, Resulting Numbers: [52, 150]
Generated Node #3: [52, 150] from Operation: 91+59=150
Current State: 98:[52, 150], Operations: ['66-14=52', '91+59=150']
Exploring Operation: 150-52=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
14,
21,
11,
66
] | 90 | [
"14+21=35",
"66-11=55",
"35+55=90"
] | Current State: 90:[14, 21, 11, 66], Operations: []
Exploring Operation: 14+21=35, Resulting Numbers: [11, 66, 35]
Generated Node #2: [11, 66, 35] from Operation: 14+21=35
Current State: 90:[11, 66, 35], Operations: ['14+21=35']
Exploring Operation: 66-11=55, Resulting Numbers: [35, 55]
Generated Node #3: [35, 55] from Operation: 66-11=55
Current State: 90:[35, 55], Operations: ['14+21=35', '66-11=55']
Exploring Operation: 35+55=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
66,
44,
30,
99
] | 54 | [
"66*30=1980",
"1980/44=45",
"99-45=54"
] | Current State: 54:[66, 44, 30, 99], Operations: []
Exploring Operation: 66*30=1980, Resulting Numbers: [44, 99, 1980]
Generated Node #2: [44, 99, 1980] from Operation: 66*30=1980
Current State: 54:[44, 99, 1980], Operations: ['66*30=1980']
Exploring Operation: 1980/44=45, Resulting Numbers: [99, 45]
Generated Node #3: [99, 45] from Operation: 1980/44=45
Current State: 54:[99, 45], Operations: ['66*30=1980', '1980/44=45']
Exploring Operation: 99-45=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
10,
35,
40,
78
] | 91 | [
"40-10=30",
"35*78=2730",
"2730/30=91"
] | Current State: 91:[10, 35, 40, 78], Operations: []
Exploring Operation: 40-10=30, Resulting Numbers: [35, 78, 30]
Generated Node #2: [35, 78, 30] from Operation: 40-10=30
Current State: 91:[35, 78, 30], Operations: ['40-10=30']
Exploring Operation: 35*78=2730, Resulting Numbers: [30, 2730]
Generated Node #3: [30, 2730] from Operation: 35*78=2730
Current State: 91:[30, 2730], Operations: ['40-10=30', '35*78=2730']
Exploring Operation: 2730/30=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
2,
51,
68,
37
] | 75 | [
"51-37=14",
"14/2=7",
"68+7=75"
] | Current State: 75:[2, 51, 68, 37], Operations: []
Exploring Operation: 51-37=14, Resulting Numbers: [2, 68, 14]
Generated Node #2: [2, 68, 14] from Operation: 51-37=14
Current State: 75:[2, 68, 14], Operations: ['51-37=14']
Exploring Operation: 14/2=7, Resulting Numbers: [68, 7]
Generated Node #3: [68, 7] from Operation: 14/2=7
Current State: 75:[68, 7], Operations: ['51-37=14', '14/2=7']
Exploring Operation: 68+7=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
37,
25,
98,
4
] | 25 | [
"37*4=148",
"25+98=123",
"148-123=25"
] | Current State: 25:[37, 25, 98, 4], Operations: []
Exploring Operation: 37*4=148, Resulting Numbers: [25, 98, 148]
Generated Node #2: [25, 98, 148] from Operation: 37*4=148
Current State: 25:[25, 98, 148], Operations: ['37*4=148']
Exploring Operation: 25+98=123, Resulting Numbers: [148, 123]
Generated Node #3: [148, 123] from Operation: 25+98=123
Current State: 25:[148, 123], Operations: ['37*4=148', '25+98=123']
Exploring Operation: 148-123=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
49,
75,
7,
35
] | 33 | [
"49/7=7",
"75-35=40",
"40-7=33"
] | Current State: 33:[49, 75, 7, 35], Operations: []
Exploring Operation: 49/7=7, Resulting Numbers: [75, 35, 7]
Generated Node #2: [75, 35, 7] from Operation: 49/7=7
Current State: 33:[75, 35, 7], Operations: ['49/7=7']
Exploring Operation: 75-35=40, Resulting Numbers: [7, 40]
Generated Node #3: [7, 40] from Operation: 75-35=40
Current State: 33:[7, 40], Operations: ['49/7=7', '75-35=40']
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
72,
96,
70,
2
] | 50 | [
"72+70=142",
"96*2=192",
"192-142=50"
] | Current State: 50:[72, 96, 70, 2], Operations: []
Exploring Operation: 72+70=142, Resulting Numbers: [96, 2, 142]
Generated Node #2: [96, 2, 142] from Operation: 72+70=142
Current State: 50:[96, 2, 142], Operations: ['72+70=142']
Exploring Operation: 96*2=192, Resulting Numbers: [142, 192]
Generated Node #3: [142, 192] from Operation: 96*2=192
Current State: 50:[142, 192], Operations: ['72+70=142', '96*2=192']
Exploring Operation: 192-142=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
17,
74,
20,
47
] | 15 | [
"74+20=94",
"94/47=2",
"17-2=15"
] | Current State: 15:[17, 74, 20, 47], Operations: []
Exploring Operation: 74+20=94, Resulting Numbers: [17, 47, 94]
Generated Node #2: [17, 47, 94] from Operation: 74+20=94
Current State: 15:[17, 47, 94], Operations: ['74+20=94']
Exploring Operation: 94/47=2, Resulting Numbers: [17, 2]
Generated Node #3: [17, 2] from Operation: 94/47=2
Current State: 15:[17, 2], Operations: ['74+20=94', '94/47=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
90,
33,
6,
75
] | 42 | [
"90+33=123",
"6+75=81",
"123-81=42"
] | Current State: 42:[90, 33, 6, 75], Operations: []
Exploring Operation: 90+33=123, Resulting Numbers: [6, 75, 123]
Generated Node #2: [6, 75, 123] from Operation: 90+33=123
Current State: 42:[6, 75, 123], Operations: ['90+33=123']
Exploring Operation: 6+75=81, Resulting Numbers: [123, 81]
Generated Node #3: [123, 81] from Operation: 6+75=81
Current State: 42:[123, 81], Operations: ['90+33=123', '6+75=81']
Exploring Operation: 123-81=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
10,
67,
62,
60
] | 62 | [
"67-62=5",
"10/5=2",
"60+2=62"
] | Current State: 62:[10, 67, 62, 60], Operations: []
Exploring Operation: 67-62=5, Resulting Numbers: [10, 60, 5]
Generated Node #2: [10, 60, 5] from Operation: 67-62=5
Current State: 62:[10, 60, 5], Operations: ['67-62=5']
Exploring Operation: 10/5=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 10/5=2
Current State: 62:[60, 2], Operations: ['67-62=5', '10/5=2']
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
25,
66,
75,
8
] | 97 | [
"75-66=9",
"8*9=72",
"25+72=97"
] | Current State: 97:[25, 66, 75, 8], Operations: []
Exploring Operation: 75-66=9, Resulting Numbers: [25, 8, 9]
Generated Node #2: [25, 8, 9] from Operation: 75-66=9
Current State: 97:[25, 8, 9], Operations: ['75-66=9']
Exploring Operation: 8*9=72, Resulting Numbers: [25, 72]
Generated Node #3: [25, 72] from Operation: 8*9=72
Current State: 97:[25, 72], Operations: ['75-66=9', '8*9=72']
Exploring Operation: 25+72=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
48,
71,
16,
76
] | 32 | [
"76-71=5",
"16*5=80",
"80-48=32"
] | Current State: 32:[48, 71, 16, 76], Operations: []
Exploring Operation: 76-71=5, Resulting Numbers: [48, 16, 5]
Generated Node #2: [48, 16, 5] from Operation: 76-71=5
Current State: 32:[48, 16, 5], Operations: ['76-71=5']
Exploring Operation: 16*5=80, Resulting Numbers: [48, 80]
Generated Node #3: [48, 80] from Operation: 16*5=80
Current State: 32:[48, 80], Operations: ['76-71=5', '16*5=80']
Exploring Operation: 80-48=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
10,
3,
67,
49
] | 84 | [
"10+67=77",
"77-49=28",
"3*28=84"
] | Current State: 84:[10, 3, 67, 49], Operations: []
Exploring Operation: 10+67=77, Resulting Numbers: [3, 49, 77]
Generated Node #2: [3, 49, 77] from Operation: 10+67=77
Current State: 84:[3, 49, 77], Operations: ['10+67=77']
Exploring Operation: 77-49=28, Resulting Numbers: [3, 28]
Generated Node #3: [3, 28] from Operation: 77-49=28
Current State: 84:[3, 28], Operations: ['10+67=77', '77-49=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
46,
63,
97,
34
] | 42 | [
"97-46=51",
"63*34=2142",
"2142/51=42"
] | Current State: 42:[46, 63, 97, 34], Operations: []
Exploring Operation: 97-46=51, Resulting Numbers: [63, 34, 51]
Generated Node #2: [63, 34, 51] from Operation: 97-46=51
Current State: 42:[63, 34, 51], Operations: ['97-46=51']
Exploring Operation: 63*34=2142, Resulting Numbers: [51, 2142]
Generated Node #3: [51, 2142] from Operation: 63*34=2142
Current State: 42:[51, 2142], Operations: ['97-46=51', '63*34=2142']
Exploring Operation: 2142/51=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
17,
4,
38,
92
] | 41 | [
"17-4=13",
"92-38=54",
"54-13=41"
] | Current State: 41:[17, 4, 38, 92], Operations: []
Exploring Operation: 17-4=13, Resulting Numbers: [38, 92, 13]
Generated Node #2: [38, 92, 13] from Operation: 17-4=13
Current State: 41:[38, 92, 13], Operations: ['17-4=13']
Exploring Operation: 92-38=54, Resulting Numbers: [13, 54]
Generated Node #3: [13, 54] from Operation: 92-38=54
Current State: 41:[13, 54], Operations: ['17-4=13', '92-38=54']
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
48,
49,
2,
22
] | 53 | [
"48+49=97",
"2*22=44",
"97-44=53"
] | Current State: 53:[48, 49, 2, 22], Operations: []
Exploring Operation: 48+49=97, Resulting Numbers: [2, 22, 97]
Generated Node #2: [2, 22, 97] from Operation: 48+49=97
Current State: 53:[2, 22, 97], Operations: ['48+49=97']
Exploring Operation: 2*22=44, Resulting Numbers: [97, 44]
Generated Node #3: [97, 44] from Operation: 2*22=44
Current State: 53:[97, 44], Operations: ['48+49=97', '2*22=44']
Exploring Operation: 97-44=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
9,
88,
5,
16
] | 86 | [
"9+88=97",
"16-5=11",
"97-11=86"
] | Current State: 86:[9, 88, 5, 16], Operations: []
Exploring Operation: 9+88=97, Resulting Numbers: [5, 16, 97]
Generated Node #2: [5, 16, 97] from Operation: 9+88=97
Current State: 86:[5, 16, 97], Operations: ['9+88=97']
Exploring Operation: 16-5=11, Resulting Numbers: [97, 11]
Generated Node #3: [97, 11] from Operation: 16-5=11
Current State: 86:[97, 11], Operations: ['9+88=97', '16-5=11']
Exploring Operation: 97-11=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
2,
1,
73,
83
] | 79 | [
"73+83=156",
"156/2=78",
"1+78=79"
] | Current State: 79:[2, 1, 73, 83], Operations: []
Exploring Operation: 73+83=156, Resulting Numbers: [2, 1, 156]
Generated Node #2: [2, 1, 156] from Operation: 73+83=156
Current State: 79:[2, 1, 156], Operations: ['73+83=156']
Exploring Operation: 156/2=78, Resulting Numbers: [1, 78]
Generated Node #3: [1, 78] from Operation: 156/2=78
Current State: 79:[1, 78], Operations: ['73+83=156', '156/2=78']
Exploring Operation: 1+78=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
11,
18,
15,
13
] | 99 | [
"11*18=198",
"15-13=2",
"198/2=99"
] | Current State: 99:[11, 18, 15, 13], Operations: []
Exploring Operation: 11*18=198, Resulting Numbers: [15, 13, 198]
Generated Node #2: [15, 13, 198] from Operation: 11*18=198
Current State: 99:[15, 13, 198], Operations: ['11*18=198']
Exploring Operation: 15-13=2, Resulting Numbers: [198, 2]
Generated Node #3: [198, 2] from Operation: 15-13=2
Current State: 99:[198, 2], Operations: ['11*18=198', '15-13=2']
Exploring Operation: 198/2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
22,
69,
4,
13
] | 67 | [
"22+4=26",
"26/13=2",
"69-2=67"
] | Current State: 67:[22, 69, 4, 13], Operations: []
Exploring Operation: 22+4=26, Resulting Numbers: [69, 13, 26]
Generated Node #2: [69, 13, 26] from Operation: 22+4=26
Current State: 67:[69, 13, 26], Operations: ['22+4=26']
Exploring Operation: 26/13=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 26/13=2
Current State: 67:[69, 2], Operations: ['22+4=26', '26/13=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
50,
31,
87,
47
] | 53 | [
"50+31=81",
"87+47=134",
"134-81=53"
] | Current State: 53:[50, 31, 87, 47], Operations: []
Exploring Operation: 50+31=81, Resulting Numbers: [87, 47, 81]
Generated Node #2: [87, 47, 81] from Operation: 50+31=81
Current State: 53:[87, 47, 81], Operations: ['50+31=81']
Exploring Operation: 87+47=134, Resulting Numbers: [81, 134]
Generated Node #3: [81, 134] from Operation: 87+47=134
Current State: 53:[81, 134], Operations: ['50+31=81', '87+47=134']
Exploring Operation: 134-81=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
11,
5,
2,
94
] | 49 | [
"11-2=9",
"5*9=45",
"94-45=49"
] | Current State: 49:[11, 5, 2, 94], Operations: []
Exploring Operation: 11-2=9, Resulting Numbers: [5, 94, 9]
Generated Node #2: [5, 94, 9] from Operation: 11-2=9
Current State: 49:[5, 94, 9], Operations: ['11-2=9']
Exploring Operation: 5*9=45, Resulting Numbers: [94, 45]
Generated Node #3: [94, 45] from Operation: 5*9=45
Current State: 49:[94, 45], Operations: ['11-2=9', '5*9=45']
Exploring Operation: 94-45=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
53,
68,
15,
33
] | 34 | [
"68-53=15",
"15/15=1",
"33+1=34"
] | Current State: 34:[53, 68, 15, 33], Operations: []
Exploring Operation: 68-53=15, Resulting Numbers: [15, 33, 15]
Generated Node #2: [15, 33, 15] from Operation: 68-53=15
Current State: 34:[15, 33, 15], Operations: ['68-53=15']
Exploring Operation: 15/15=1, Resulting Numbers: [33, 1]
Generated Node #3: [33, 1] from Operation: 15/15=1
Current State: 34:[33, 1], Operations: ['68-53=15', '15/15=1']
Exploring Operation: 33+1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
64,
88,
59,
7
] | 90 | [
"88-64=24",
"59+7=66",
"24+66=90"
] | Current State: 90:[64, 88, 59, 7], Operations: []
Exploring Operation: 88-64=24, Resulting Numbers: [59, 7, 24]
Generated Node #2: [59, 7, 24] from Operation: 88-64=24
Current State: 90:[59, 7, 24], Operations: ['88-64=24']
Exploring Operation: 59+7=66, Resulting Numbers: [24, 66]
Generated Node #3: [24, 66] from Operation: 59+7=66
Current State: 90:[24, 66], Operations: ['88-64=24', '59+7=66']
Exploring Operation: 24+66=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
62,
76,
98,
24
] | 100 | [
"62-24=38",
"76/38=2",
"98+2=100"
] | Current State: 100:[62, 76, 98, 24], Operations: []
Exploring Operation: 62-24=38, Resulting Numbers: [76, 98, 38]
Generated Node #2: [76, 98, 38] from Operation: 62-24=38
Current State: 100:[76, 98, 38], Operations: ['62-24=38']
Exploring Operation: 76/38=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 76/38=2
Current State: 100:[98, 2], Operations: ['62-24=38', '76/38=2']
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
36,
41,
64,
34
] | 46 | [
"36-34=2",
"64-41=23",
"2*23=46"
] | Current State: 46:[36, 41, 64, 34], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [41, 64, 2]
Generated Node #2: [41, 64, 2] from Operation: 36-34=2
Current State: 46:[41, 64, 2], Operations: ['36-34=2']
Exploring Operation: 64-41=23, Resulting Numbers: [2, 23]
Generated Node #3: [2, 23] from Operation: 64-41=23
Current State: 46:[2, 23], Operations: ['36-34=2', '64-41=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
29,
3,
34,
14
] | 57 | [
"34-29=5",
"14+5=19",
"3*19=57"
] | Current State: 57:[29, 3, 34, 14], Operations: []
Exploring Operation: 34-29=5, Resulting Numbers: [3, 14, 5]
Generated Node #2: [3, 14, 5] from Operation: 34-29=5
Current State: 57:[3, 14, 5], Operations: ['34-29=5']
Exploring Operation: 14+5=19, Resulting Numbers: [3, 19]
Generated Node #3: [3, 19] from Operation: 14+5=19
Current State: 57:[3, 19], Operations: ['34-29=5', '14+5=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
48,
4,
8,
77
] | 83 | [
"48-8=40",
"4*40=160",
"160-77=83"
] | Current State: 83:[48, 4, 8, 77], Operations: []
Exploring Operation: 48-8=40, Resulting Numbers: [4, 77, 40]
Generated Node #2: [4, 77, 40] from Operation: 48-8=40
Current State: 83:[4, 77, 40], Operations: ['48-8=40']
Exploring Operation: 4*40=160, Resulting Numbers: [77, 160]
Generated Node #3: [77, 160] from Operation: 4*40=160
Current State: 83:[77, 160], Operations: ['48-8=40', '4*40=160']
Exploring Operation: 160-77=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
72,
24,
76,
86
] | 80 | [
"76-72=4",
"24/4=6",
"86-6=80"
] | Current State: 80:[72, 24, 76, 86], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [24, 86, 4]
Generated Node #2: [24, 86, 4] from Operation: 76-72=4
Current State: 80:[24, 86, 4], Operations: ['76-72=4']
Exploring Operation: 24/4=6, Resulting Numbers: [86, 6]
Generated Node #3: [86, 6] from Operation: 24/4=6
Current State: 80:[86, 6], Operations: ['76-72=4', '24/4=6']
Exploring Operation: 86-6=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
29,
96,
46,
9
] | 43 | [
"96-9=87",
"87/29=3",
"46-3=43"
] | Current State: 43:[29, 96, 46, 9], Operations: []
Exploring Operation: 96-9=87, Resulting Numbers: [29, 46, 87]
Generated Node #2: [29, 46, 87] from Operation: 96-9=87
Current State: 43:[29, 46, 87], Operations: ['96-9=87']
Exploring Operation: 87/29=3, Resulting Numbers: [46, 3]
Generated Node #3: [46, 3] from Operation: 87/29=3
Current State: 43:[46, 3], Operations: ['96-9=87', '87/29=3']
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
93,
94,
10,
81
] | 37 | [
"94-81=13",
"10*13=130",
"130-93=37"
] | Current State: 37:[93, 94, 10, 81], Operations: []
Exploring Operation: 94-81=13, Resulting Numbers: [93, 10, 13]
Generated Node #2: [93, 10, 13] from Operation: 94-81=13
Current State: 37:[93, 10, 13], Operations: ['94-81=13']
Exploring Operation: 10*13=130, Resulting Numbers: [93, 130]
Generated Node #3: [93, 130] from Operation: 10*13=130
Current State: 37:[93, 130], Operations: ['94-81=13', '10*13=130']
Exploring Operation: 130-93=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
77,
29,
47,
75
] | 65 | [
"77-75=2",
"47*2=94",
"94-29=65"
] | Current State: 65:[77, 29, 47, 75], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [29, 47, 2]
Generated Node #2: [29, 47, 2] from Operation: 77-75=2
Current State: 65:[29, 47, 2], Operations: ['77-75=2']
Exploring Operation: 47*2=94, Resulting Numbers: [29, 94]
Generated Node #3: [29, 94] from Operation: 47*2=94
Current State: 65:[29, 94], Operations: ['77-75=2', '47*2=94']
Exploring Operation: 94-29=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
90,
45,
29,
9
] | 24 | [
"90-45=45",
"45/9=5",
"29-5=24"
] | Current State: 24:[90, 45, 29, 9], Operations: []
Exploring Operation: 90-45=45, Resulting Numbers: [29, 9, 45]
Generated Node #2: [29, 9, 45] from Operation: 90-45=45
Current State: 24:[29, 9, 45], Operations: ['90-45=45']
Exploring Operation: 45/9=5, Resulting Numbers: [29, 5]
Generated Node #3: [29, 5] from Operation: 45/9=5
Current State: 24:[29, 5], Operations: ['90-45=45', '45/9=5']
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
43,
16,
53,
44
] | 69 | [
"44-43=1",
"16+53=69",
"1*69=69"
] | Current State: 69:[43, 16, 53, 44], Operations: []
Exploring Operation: 44-43=1, Resulting Numbers: [16, 53, 1]
Generated Node #2: [16, 53, 1] from Operation: 44-43=1
Current State: 69:[16, 53, 1], Operations: ['44-43=1']
Exploring Operation: 16+53=69, Resulting Numbers: [1, 69]
Generated Node #3: [1, 69] from Operation: 16+53=69
Current State: 69:[1, 69], Operations: ['44-43=1', '16+53=69']
Exploring Operation: 1*69=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
11,
39,
39,
85
] | 11 | [
"39-39=0",
"85*0=0",
"11+0=11"
] | Current State: 11:[11, 39, 39, 85], Operations: []
Exploring Operation: 39-39=0, Resulting Numbers: [11, 85, 0]
Generated Node #2: [11, 85, 0] from Operation: 39-39=0
Current State: 11:[11, 85, 0], Operations: ['39-39=0']
Exploring Operation: 85*0=0, Resulting Numbers: [11, 0]
Generated Node #3: [11, 0] from Operation: 85*0=0
Current State: 11:[11, 0], Operations: ['39-39=0', '85*0=0']
Exploring Operation: 11+0=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
86,
84,
47,
40
] | 85 | [
"86-84=2",
"47+40=87",
"87-2=85"
] | Current State: 85:[86, 84, 47, 40], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [47, 40, 2]
Generated Node #2: [47, 40, 2] from Operation: 86-84=2
Current State: 85:[47, 40, 2], Operations: ['86-84=2']
Exploring Operation: 47+40=87, Resulting Numbers: [2, 87]
Generated Node #3: [2, 87] from Operation: 47+40=87
Current State: 85:[2, 87], Operations: ['86-84=2', '47+40=87']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
20,
20,
58,
10
] | 62 | [
"20+20=40",
"40/10=4",
"58+4=62"
] | Current State: 62:[20, 20, 58, 10], Operations: []
Exploring Operation: 20+20=40, Resulting Numbers: [58, 10, 40]
Generated Node #2: [58, 10, 40] from Operation: 20+20=40
Current State: 62:[58, 10, 40], Operations: ['20+20=40']
Exploring Operation: 40/10=4, Resulting Numbers: [58, 4]
Generated Node #3: [58, 4] from Operation: 40/10=4
Current State: 62:[58, 4], Operations: ['20+20=40', '40/10=4']
Exploring Operation: 58+4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
35,
55,
73,
90
] | 74 | [
"35+55=90",
"90/90=1",
"73+1=74"
] | Current State: 74:[35, 55, 73, 90], Operations: []
Exploring Operation: 35+55=90, Resulting Numbers: [73, 90, 90]
Generated Node #2: [73, 90, 90] from Operation: 35+55=90
Current State: 74:[73, 90, 90], Operations: ['35+55=90']
Exploring Operation: 90/90=1, Resulting Numbers: [73, 1]
Generated Node #3: [73, 1] from Operation: 90/90=1
Current State: 74:[73, 1], Operations: ['35+55=90', '90/90=1']
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
7,
71,
17,
6
] | 87 | [
"71-7=64",
"17+6=23",
"64+23=87"
] | Current State: 87:[7, 71, 17, 6], Operations: []
Exploring Operation: 71-7=64, Resulting Numbers: [17, 6, 64]
Generated Node #2: [17, 6, 64] from Operation: 71-7=64
Current State: 87:[17, 6, 64], Operations: ['71-7=64']
Exploring Operation: 17+6=23, Resulting Numbers: [64, 23]
Generated Node #3: [64, 23] from Operation: 17+6=23
Current State: 87:[64, 23], Operations: ['71-7=64', '17+6=23']
Exploring Operation: 64+23=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
10,
54,
63,
22
] | 41 | [
"54-10=44",
"63+22=85",
"85-44=41"
] | Current State: 41:[10, 54, 63, 22], Operations: []
Exploring Operation: 54-10=44, Resulting Numbers: [63, 22, 44]
Generated Node #2: [63, 22, 44] from Operation: 54-10=44
Current State: 41:[63, 22, 44], Operations: ['54-10=44']
Exploring Operation: 63+22=85, Resulting Numbers: [44, 85]
Generated Node #3: [44, 85] from Operation: 63+22=85
Current State: 41:[44, 85], Operations: ['54-10=44', '63+22=85']
Exploring Operation: 85-44=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
20,
6,
3,
30
] | 12 | [
"20+6=26",
"30-26=4",
"3*4=12"
] | Current State: 12:[20, 6, 3, 30], Operations: []
Exploring Operation: 20+6=26, Resulting Numbers: [3, 30, 26]
Generated Node #2: [3, 30, 26] from Operation: 20+6=26
Current State: 12:[3, 30, 26], Operations: ['20+6=26']
Exploring Operation: 30-26=4, Resulting Numbers: [3, 4]
Generated Node #3: [3, 4] from Operation: 30-26=4
Current State: 12:[3, 4], Operations: ['20+6=26', '30-26=4']
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
95,
93,
12,
47
] | 57 | [
"95-93=2",
"12+47=59",
"59-2=57"
] | Current State: 57:[95, 93, 12, 47], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [12, 47, 2]
Generated Node #2: [12, 47, 2] from Operation: 95-93=2
Current State: 57:[12, 47, 2], Operations: ['95-93=2']
Exploring Operation: 12+47=59, Resulting Numbers: [2, 59]
Generated Node #3: [2, 59] from Operation: 12+47=59
Current State: 57:[2, 59], Operations: ['95-93=2', '12+47=59']
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
77,
5,
80,
29
] | 92 | [
"80-77=3",
"29*3=87",
"5+87=92"
] | Current State: 92:[77, 5, 80, 29], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [5, 29, 3]
Generated Node #2: [5, 29, 3] from Operation: 80-77=3
Current State: 92:[5, 29, 3], Operations: ['80-77=3']
Exploring Operation: 29*3=87, Resulting Numbers: [5, 87]
Generated Node #3: [5, 87] from Operation: 29*3=87
Current State: 92:[5, 87], Operations: ['80-77=3', '29*3=87']
Exploring Operation: 5+87=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
76,
32,
92,
71
] | 69 | [
"92-76=16",
"32/16=2",
"71-2=69"
] | Current State: 69:[76, 32, 92, 71], Operations: []
Exploring Operation: 92-76=16, Resulting Numbers: [32, 71, 16]
Generated Node #2: [32, 71, 16] from Operation: 92-76=16
Current State: 69:[32, 71, 16], Operations: ['92-76=16']
Exploring Operation: 32/16=2, Resulting Numbers: [71, 2]
Generated Node #3: [71, 2] from Operation: 32/16=2
Current State: 69:[71, 2], Operations: ['92-76=16', '32/16=2']
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
69,
86,
25,
64
] | 75 | [
"86+64=150",
"150/25=6",
"69+6=75"
] | Current State: 75:[69, 86, 25, 64], Operations: []
Exploring Operation: 86+64=150, Resulting Numbers: [69, 25, 150]
Generated Node #2: [69, 25, 150] from Operation: 86+64=150
Current State: 75:[69, 25, 150], Operations: ['86+64=150']
Exploring Operation: 150/25=6, Resulting Numbers: [69, 6]
Generated Node #3: [69, 6] from Operation: 150/25=6
Current State: 75:[69, 6], Operations: ['86+64=150', '150/25=6']
Exploring Operation: 69+6=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
40,
10,
33,
22
] | 45 | [
"40-10=30",
"33*30=990",
"990/22=45"
] | Current State: 45:[40, 10, 33, 22], Operations: []
Exploring Operation: 40-10=30, Resulting Numbers: [33, 22, 30]
Generated Node #2: [33, 22, 30] from Operation: 40-10=30
Current State: 45:[33, 22, 30], Operations: ['40-10=30']
Exploring Operation: 33*30=990, Resulting Numbers: [22, 990]
Generated Node #3: [22, 990] from Operation: 33*30=990
Current State: 45:[22, 990], Operations: ['40-10=30', '33*30=990']
Exploring Operation: 990/22=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
74,
15,
63,
37
] | 85 | [
"74-15=59",
"63-37=26",
"59+26=85"
] | Current State: 85:[74, 15, 63, 37], Operations: []
Exploring Operation: 74-15=59, Resulting Numbers: [63, 37, 59]
Generated Node #2: [63, 37, 59] from Operation: 74-15=59
Current State: 85:[63, 37, 59], Operations: ['74-15=59']
Exploring Operation: 63-37=26, Resulting Numbers: [59, 26]
Generated Node #3: [59, 26] from Operation: 63-37=26
Current State: 85:[59, 26], Operations: ['74-15=59', '63-37=26']
Exploring Operation: 59+26=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
6,
88,
18,
13
] | 25 | [
"18/6=3",
"88-13=75",
"75/3=25"
] | Current State: 25:[6, 88, 18, 13], Operations: []
Exploring Operation: 18/6=3, Resulting Numbers: [88, 13, 3]
Generated Node #2: [88, 13, 3] from Operation: 18/6=3
Current State: 25:[88, 13, 3], Operations: ['18/6=3']
Exploring Operation: 88-13=75, Resulting Numbers: [3, 75]
Generated Node #3: [3, 75] from Operation: 88-13=75
Current State: 25:[3, 75], Operations: ['18/6=3', '88-13=75']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
10,
32,
13,
20
] | 28 | [
"13-10=3",
"20*3=60",
"60-32=28"
] | Current State: 28:[10, 32, 13, 20], Operations: []
Exploring Operation: 13-10=3, Resulting Numbers: [32, 20, 3]
Generated Node #2: [32, 20, 3] from Operation: 13-10=3
Current State: 28:[32, 20, 3], Operations: ['13-10=3']
Exploring Operation: 20*3=60, Resulting Numbers: [32, 60]
Generated Node #3: [32, 60] from Operation: 20*3=60
Current State: 28:[32, 60], Operations: ['13-10=3', '20*3=60']
Exploring Operation: 60-32=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
88,
22,
46,
41
] | 83 | [
"88/22=4",
"46+41=87",
"87-4=83"
] | Current State: 83:[88, 22, 46, 41], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [46, 41, 4]
Generated Node #2: [46, 41, 4] from Operation: 88/22=4
Current State: 83:[46, 41, 4], Operations: ['88/22=4']
Exploring Operation: 46+41=87, Resulting Numbers: [4, 87]
Generated Node #3: [4, 87] from Operation: 46+41=87
Current State: 83:[4, 87], Operations: ['88/22=4', '46+41=87']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
64,
69,
38,
92
] | 86 | [
"64*69=4416",
"4416/92=48",
"38+48=86"
] | Current State: 86:[64, 69, 38, 92], Operations: []
Exploring Operation: 64*69=4416, Resulting Numbers: [38, 92, 4416]
Generated Node #2: [38, 92, 4416] from Operation: 64*69=4416
Current State: 86:[38, 92, 4416], Operations: ['64*69=4416']
Exploring Operation: 4416/92=48, Resulting Numbers: [38, 48]
Generated Node #3: [38, 48] from Operation: 4416/92=48
Current State: 86:[38, 48], Operations: ['64*69=4416', '4416/92=48']
Exploring Operation: 38+48=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
23,
25,
40,
5
] | 85 | [
"25-23=2",
"40*2=80",
"5+80=85"
] | Current State: 85:[23, 25, 40, 5], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [40, 5, 2]
Generated Node #2: [40, 5, 2] from Operation: 25-23=2
Current State: 85:[40, 5, 2], Operations: ['25-23=2']
Exploring Operation: 40*2=80, Resulting Numbers: [5, 80]
Generated Node #3: [5, 80] from Operation: 40*2=80
Current State: 85:[5, 80], Operations: ['25-23=2', '40*2=80']
Exploring Operation: 5+80=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
65,
26,
6,
13
] | 77 | [
"26*6=156",
"156/13=12",
"65+12=77"
] | Current State: 77:[65, 26, 6, 13], Operations: []
Exploring Operation: 26*6=156, Resulting Numbers: [65, 13, 156]
Generated Node #2: [65, 13, 156] from Operation: 26*6=156
Current State: 77:[65, 13, 156], Operations: ['26*6=156']
Exploring Operation: 156/13=12, Resulting Numbers: [65, 12]
Generated Node #3: [65, 12] from Operation: 156/13=12
Current State: 77:[65, 12], Operations: ['26*6=156', '156/13=12']
Exploring Operation: 65+12=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
31,
79,
41,
5
] | 29 | [
"41-31=10",
"5*10=50",
"79-50=29"
] | Current State: 29:[31, 79, 41, 5], Operations: []
Exploring Operation: 41-31=10, Resulting Numbers: [79, 5, 10]
Generated Node #2: [79, 5, 10] from Operation: 41-31=10
Current State: 29:[79, 5, 10], Operations: ['41-31=10']
Exploring Operation: 5*10=50, Resulting Numbers: [79, 50]
Generated Node #3: [79, 50] from Operation: 5*10=50
Current State: 29:[79, 50], Operations: ['41-31=10', '5*10=50']
Exploring Operation: 79-50=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
19,
80,
14,
35
] | 78 | [
"19+80=99",
"35-14=21",
"99-21=78"
] | Current State: 78:[19, 80, 14, 35], Operations: []
Exploring Operation: 19+80=99, Resulting Numbers: [14, 35, 99]
Generated Node #2: [14, 35, 99] from Operation: 19+80=99
Current State: 78:[14, 35, 99], Operations: ['19+80=99']
Exploring Operation: 35-14=21, Resulting Numbers: [99, 21]
Generated Node #3: [99, 21] from Operation: 35-14=21
Current State: 78:[99, 21], Operations: ['19+80=99', '35-14=21']
Exploring Operation: 99-21=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
50,
2,
63,
17
] | 20 | [
"50*2=100",
"63+17=80",
"100-80=20"
] | Current State: 20:[50, 2, 63, 17], Operations: []
Exploring Operation: 50*2=100, Resulting Numbers: [63, 17, 100]
Generated Node #2: [63, 17, 100] from Operation: 50*2=100
Current State: 20:[63, 17, 100], Operations: ['50*2=100']
Exploring Operation: 63+17=80, Resulting Numbers: [100, 80]
Generated Node #3: [100, 80] from Operation: 63+17=80
Current State: 20:[100, 80], Operations: ['50*2=100', '63+17=80']
Exploring Operation: 100-80=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
16,
9,
96,
99
] | 28 | [
"16+9=25",
"99-96=3",
"25+3=28"
] | Current State: 28:[16, 9, 96, 99], Operations: []
Exploring Operation: 16+9=25, Resulting Numbers: [96, 99, 25]
Generated Node #2: [96, 99, 25] from Operation: 16+9=25
Current State: 28:[96, 99, 25], Operations: ['16+9=25']
Exploring Operation: 99-96=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 99-96=3
Current State: 28:[25, 3], Operations: ['16+9=25', '99-96=3']
Exploring Operation: 25+3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
12,
69,
5,
17
] | 94 | [
"17-12=5",
"5*5=25",
"69+25=94"
] | Current State: 94:[12, 69, 5, 17], Operations: []
Exploring Operation: 17-12=5, Resulting Numbers: [69, 5, 5]
Generated Node #2: [69, 5, 5] from Operation: 17-12=5
Current State: 94:[69, 5, 5], Operations: ['17-12=5']
Exploring Operation: 5*5=25, Resulting Numbers: [69, 25]
Generated Node #3: [69, 25] from Operation: 5*5=25
Current State: 94:[69, 25], Operations: ['17-12=5', '5*5=25']
Exploring Operation: 69+25=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
56,
99,
48,
77
] | 22 | [
"56-48=8",
"99+77=176",
"176/8=22"
] | Current State: 22:[56, 99, 48, 77], Operations: []
Exploring Operation: 56-48=8, Resulting Numbers: [99, 77, 8]
Generated Node #2: [99, 77, 8] from Operation: 56-48=8
Current State: 22:[99, 77, 8], Operations: ['56-48=8']
Exploring Operation: 99+77=176, Resulting Numbers: [8, 176]
Generated Node #3: [8, 176] from Operation: 99+77=176
Current State: 22:[8, 176], Operations: ['56-48=8', '99+77=176']
Exploring Operation: 176/8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
8,
3,
48,
18
] | 26 | [
"18-8=10",
"48/3=16",
"10+16=26"
] | Current State: 26:[8, 3, 48, 18], Operations: []
Exploring Operation: 18-8=10, Resulting Numbers: [3, 48, 10]
Generated Node #2: [3, 48, 10] from Operation: 18-8=10
Current State: 26:[3, 48, 10], Operations: ['18-8=10']
Exploring Operation: 48/3=16, Resulting Numbers: [10, 16]
Generated Node #3: [10, 16] from Operation: 48/3=16
Current State: 26:[10, 16], Operations: ['18-8=10', '48/3=16']
Exploring Operation: 10+16=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
41,
7,
45,
54
] | 57 | [
"41+7=48",
"54-45=9",
"48+9=57"
] | Current State: 57:[41, 7, 45, 54], Operations: []
Exploring Operation: 41+7=48, Resulting Numbers: [45, 54, 48]
Generated Node #2: [45, 54, 48] from Operation: 41+7=48
Current State: 57:[45, 54, 48], Operations: ['41+7=48']
Exploring Operation: 54-45=9, Resulting Numbers: [48, 9]
Generated Node #3: [48, 9] from Operation: 54-45=9
Current State: 57:[48, 9], Operations: ['41+7=48', '54-45=9']
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
3,
21,
5,
35
] | 48 | [
"21-3=18",
"35-5=30",
"18+30=48"
] | Current State: 48:[3, 21, 5, 35], Operations: []
Exploring Operation: 21-3=18, Resulting Numbers: [5, 35, 18]
Generated Node #2: [5, 35, 18] from Operation: 21-3=18
Current State: 48:[5, 35, 18], Operations: ['21-3=18']
Exploring Operation: 35-5=30, Resulting Numbers: [18, 30]
Generated Node #3: [18, 30] from Operation: 35-5=30
Current State: 48:[18, 30], Operations: ['21-3=18', '35-5=30']
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
94,
17,
51,
39
] | 89 | [
"94-17=77",
"51-39=12",
"77+12=89"
] | Current State: 89:[94, 17, 51, 39], Operations: []
Exploring Operation: 94-17=77, Resulting Numbers: [51, 39, 77]
Generated Node #2: [51, 39, 77] from Operation: 94-17=77
Current State: 89:[51, 39, 77], Operations: ['94-17=77']
Exploring Operation: 51-39=12, Resulting Numbers: [77, 12]
Generated Node #3: [77, 12] from Operation: 51-39=12
Current State: 89:[77, 12], Operations: ['94-17=77', '51-39=12']
Exploring Operation: 77+12=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
31,
2,
49,
93
] | 77 | [
"31+2=33",
"93-49=44",
"33+44=77"
] | Current State: 77:[31, 2, 49, 93], Operations: []
Exploring Operation: 31+2=33, Resulting Numbers: [49, 93, 33]
Generated Node #2: [49, 93, 33] from Operation: 31+2=33
Current State: 77:[49, 93, 33], Operations: ['31+2=33']
Exploring Operation: 93-49=44, Resulting Numbers: [33, 44]
Generated Node #3: [33, 44] from Operation: 93-49=44
Current State: 77:[33, 44], Operations: ['31+2=33', '93-49=44']
Exploring Operation: 33+44=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
88,
60,
84,
97
] | 33 | [
"88+60=148",
"84+97=181",
"181-148=33"
] | Current State: 33:[88, 60, 84, 97], Operations: []
Exploring Operation: 88+60=148, Resulting Numbers: [84, 97, 148]
Generated Node #2: [84, 97, 148] from Operation: 88+60=148
Current State: 33:[84, 97, 148], Operations: ['88+60=148']
Exploring Operation: 84+97=181, Resulting Numbers: [148, 181]
Generated Node #3: [148, 181] from Operation: 84+97=181
Current State: 33:[148, 181], Operations: ['88+60=148', '84+97=181']
Exploring Operation: 181-148=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
96,
70,
32,
95
] | 28 | [
"96/32=3",
"95-70=25",
"3+25=28"
] | Current State: 28:[96, 70, 32, 95], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [70, 95, 3]
Generated Node #2: [70, 95, 3] from Operation: 96/32=3
Current State: 28:[70, 95, 3], Operations: ['96/32=3']
Exploring Operation: 95-70=25, Resulting Numbers: [3, 25]
Generated Node #3: [3, 25] from Operation: 95-70=25
Current State: 28:[3, 25], Operations: ['96/32=3', '95-70=25']
Exploring Operation: 3+25=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
44,
99,
93,
54
] | 94 | [
"99-44=55",
"93-54=39",
"55+39=94"
] | Current State: 94:[44, 99, 93, 54], Operations: []
Exploring Operation: 99-44=55, Resulting Numbers: [93, 54, 55]
Generated Node #2: [93, 54, 55] from Operation: 99-44=55
Current State: 94:[93, 54, 55], Operations: ['99-44=55']
Exploring Operation: 93-54=39, Resulting Numbers: [55, 39]
Generated Node #3: [55, 39] from Operation: 93-54=39
Current State: 94:[55, 39], Operations: ['99-44=55', '93-54=39']
Exploring Operation: 55+39=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
42,
12,
49,
57
] | 62 | [
"42+12=54",
"57-49=8",
"54+8=62"
] | Current State: 62:[42, 12, 49, 57], Operations: []
Exploring Operation: 42+12=54, Resulting Numbers: [49, 57, 54]
Generated Node #2: [49, 57, 54] from Operation: 42+12=54
Current State: 62:[49, 57, 54], Operations: ['42+12=54']
Exploring Operation: 57-49=8, Resulting Numbers: [54, 8]
Generated Node #3: [54, 8] from Operation: 57-49=8
Current State: 62:[54, 8], Operations: ['42+12=54', '57-49=8']
Exploring Operation: 54+8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
24,
8,
6,
68
] | 70 | [
"24/8=3",
"6/3=2",
"68+2=70"
] | Current State: 70:[24, 8, 6, 68], Operations: []
Exploring Operation: 24/8=3, Resulting Numbers: [6, 68, 3]
Generated Node #2: [6, 68, 3] from Operation: 24/8=3
Current State: 70:[6, 68, 3], Operations: ['24/8=3']
Exploring Operation: 6/3=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 6/3=2
Current State: 70:[68, 2], Operations: ['24/8=3', '6/3=2']
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
1,
81,
18,
11
] | 89 | [
"1+81=82",
"18-11=7",
"82+7=89"
] | Current State: 89:[1, 81, 18, 11], Operations: []
Exploring Operation: 1+81=82, Resulting Numbers: [18, 11, 82]
Generated Node #2: [18, 11, 82] from Operation: 1+81=82
Current State: 89:[18, 11, 82], Operations: ['1+81=82']
Exploring Operation: 18-11=7, Resulting Numbers: [82, 7]
Generated Node #3: [82, 7] from Operation: 18-11=7
Current State: 89:[82, 7], Operations: ['1+81=82', '18-11=7']
Exploring Operation: 82+7=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
88,
31,
90,
12
] | 55 | [
"90-88=2",
"12*2=24",
"31+24=55"
] | Current State: 55:[88, 31, 90, 12], Operations: []
Exploring Operation: 90-88=2, Resulting Numbers: [31, 12, 2]
Generated Node #2: [31, 12, 2] from Operation: 90-88=2
Current State: 55:[31, 12, 2], Operations: ['90-88=2']
Exploring Operation: 12*2=24, Resulting Numbers: [31, 24]
Generated Node #3: [31, 24] from Operation: 12*2=24
Current State: 55:[31, 24], Operations: ['90-88=2', '12*2=24']
Exploring Operation: 31+24=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
2,
77,
47,
6
] | 38 | [
"2+77=79",
"47-6=41",
"79-41=38"
] | Current State: 38:[2, 77, 47, 6], Operations: []
Exploring Operation: 2+77=79, Resulting Numbers: [47, 6, 79]
Generated Node #2: [47, 6, 79] from Operation: 2+77=79
Current State: 38:[47, 6, 79], Operations: ['2+77=79']
Exploring Operation: 47-6=41, Resulting Numbers: [79, 41]
Generated Node #3: [79, 41] from Operation: 47-6=41
Current State: 38:[79, 41], Operations: ['2+77=79', '47-6=41']
Exploring Operation: 79-41=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
94,
36,
18,
99
] | 52 | [
"94*18=1692",
"1692/36=47",
"99-47=52"
] | Current State: 52:[94, 36, 18, 99], Operations: []
Exploring Operation: 94*18=1692, Resulting Numbers: [36, 99, 1692]
Generated Node #2: [36, 99, 1692] from Operation: 94*18=1692
Current State: 52:[36, 99, 1692], Operations: ['94*18=1692']
Exploring Operation: 1692/36=47, Resulting Numbers: [99, 47]
Generated Node #3: [99, 47] from Operation: 1692/36=47
Current State: 52:[99, 47], Operations: ['94*18=1692', '1692/36=47']
Exploring Operation: 99-47=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
90,
90,
84,
9
] | 84 | [
"90-90=0",
"9*0=0",
"84+0=84"
] | Current State: 84:[90, 90, 84, 9], Operations: []
Exploring Operation: 90-90=0, Resulting Numbers: [84, 9, 0]
Generated Node #2: [84, 9, 0] from Operation: 90-90=0
Current State: 84:[84, 9, 0], Operations: ['90-90=0']
Exploring Operation: 9*0=0, Resulting Numbers: [84, 0]
Generated Node #3: [84, 0] from Operation: 9*0=0
Current State: 84:[84, 0], Operations: ['90-90=0', '9*0=0']
Exploring Operation: 84+0=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
58,
17,
81,
16
] | 54 | [
"81-17=64",
"64/16=4",
"58-4=54"
] | Current State: 54:[58, 17, 81, 16], Operations: []
Exploring Operation: 81-17=64, Resulting Numbers: [58, 16, 64]
Generated Node #2: [58, 16, 64] from Operation: 81-17=64
Current State: 54:[58, 16, 64], Operations: ['81-17=64']
Exploring Operation: 64/16=4, Resulting Numbers: [58, 4]
Generated Node #3: [58, 4] from Operation: 64/16=4
Current State: 54:[58, 4], Operations: ['81-17=64', '64/16=4']
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
76,
2,
77,
41
] | 17 | [
"77+41=118",
"118/2=59",
"76-59=17"
] | Current State: 17:[76, 2, 77, 41], Operations: []
Exploring Operation: 77+41=118, Resulting Numbers: [76, 2, 118]
Generated Node #2: [76, 2, 118] from Operation: 77+41=118
Current State: 17:[76, 2, 118], Operations: ['77+41=118']
Exploring Operation: 118/2=59, Resulting Numbers: [76, 59]
Generated Node #3: [76, 59] from Operation: 118/2=59
Current State: 17:[76, 59], Operations: ['77+41=118', '118/2=59']
Exploring Operation: 76-59=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
37,
91,
61,
16
] | 23 | [
"91-37=54",
"61+16=77",
"77-54=23"
] | Current State: 23:[37, 91, 61, 16], Operations: []
Exploring Operation: 91-37=54, Resulting Numbers: [61, 16, 54]
Generated Node #2: [61, 16, 54] from Operation: 91-37=54
Current State: 23:[61, 16, 54], Operations: ['91-37=54']
Exploring Operation: 61+16=77, Resulting Numbers: [54, 77]
Generated Node #3: [54, 77] from Operation: 61+16=77
Current State: 23:[54, 77], Operations: ['91-37=54', '61+16=77']
Exploring Operation: 77-54=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
7,
76,
66,
73
] | 29 | [
"76-73=3",
"66/3=22",
"7+22=29"
] | Current State: 29:[7, 76, 66, 73], Operations: []
Exploring Operation: 76-73=3, Resulting Numbers: [7, 66, 3]
Generated Node #2: [7, 66, 3] from Operation: 76-73=3
Current State: 29:[7, 66, 3], Operations: ['76-73=3']
Exploring Operation: 66/3=22, Resulting Numbers: [7, 22]
Generated Node #3: [7, 22] from Operation: 66/3=22
Current State: 29:[7, 22], Operations: ['76-73=3', '66/3=22']
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
54,
1,
60,
12
] | 59 | [
"54*1=54",
"60/12=5",
"54+5=59"
] | Current State: 59:[54, 1, 60, 12], Operations: []
Exploring Operation: 54*1=54, Resulting Numbers: [60, 12, 54]
Generated Node #2: [60, 12, 54] from Operation: 54*1=54
Current State: 59:[60, 12, 54], Operations: ['54*1=54']
Exploring Operation: 60/12=5, Resulting Numbers: [54, 5]
Generated Node #3: [54, 5] from Operation: 60/12=5
Current State: 59:[54, 5], Operations: ['54*1=54', '60/12=5']
Exploring Operation: 54+5=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
99,
46,
7,
24
] | 48 | [
"99-7=92",
"92/46=2",
"24*2=48"
] | Current State: 48:[99, 46, 7, 24], Operations: []
Exploring Operation: 99-7=92, Resulting Numbers: [46, 24, 92]
Generated Node #2: [46, 24, 92] from Operation: 99-7=92
Current State: 48:[46, 24, 92], Operations: ['99-7=92']
Exploring Operation: 92/46=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 92/46=2
Current State: 48:[24, 2], Operations: ['99-7=92', '92/46=2']
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
16,
8,
4,
19
] | 47 | [
"16+8=24",
"4+19=23",
"24+23=47"
] | Current State: 47:[16, 8, 4, 19], Operations: []
Exploring Operation: 16+8=24, Resulting Numbers: [4, 19, 24]
Generated Node #2: [4, 19, 24] from Operation: 16+8=24
Current State: 47:[4, 19, 24], Operations: ['16+8=24']
Exploring Operation: 4+19=23, Resulting Numbers: [24, 23]
Generated Node #3: [24, 23] from Operation: 4+19=23
Current State: 47:[24, 23], Operations: ['16+8=24', '4+19=23']
Exploring Operation: 24+23=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
48,
43,
58,
91
] | 57 | [
"48+43=91",
"91/91=1",
"58-1=57"
] | Current State: 57:[48, 43, 58, 91], Operations: []
Exploring Operation: 48+43=91, Resulting Numbers: [58, 91, 91]
Generated Node #2: [58, 91, 91] from Operation: 48+43=91
Current State: 57:[58, 91, 91], Operations: ['48+43=91']
Exploring Operation: 91/91=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 91/91=1
Current State: 57:[58, 1], Operations: ['48+43=91', '91/91=1']
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
20,
15,
63,
42
] | 100 | [
"20-15=5",
"63+42=105",
"105-5=100"
] | Current State: 100:[20, 15, 63, 42], Operations: []
Exploring Operation: 20-15=5, Resulting Numbers: [63, 42, 5]
Generated Node #2: [63, 42, 5] from Operation: 20-15=5
Current State: 100:[63, 42, 5], Operations: ['20-15=5']
Exploring Operation: 63+42=105, Resulting Numbers: [5, 105]
Generated Node #3: [5, 105] from Operation: 63+42=105
Current State: 100:[5, 105], Operations: ['20-15=5', '63+42=105']
Exploring Operation: 105-5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
52,
42,
53,
31
] | 10 | [
"52+42=94",
"53+31=84",
"94-84=10"
] | Current State: 10:[52, 42, 53, 31], Operations: []
Exploring Operation: 52+42=94, Resulting Numbers: [53, 31, 94]
Generated Node #2: [53, 31, 94] from Operation: 52+42=94
Current State: 10:[53, 31, 94], Operations: ['52+42=94']
Exploring Operation: 53+31=84, Resulting Numbers: [94, 84]
Generated Node #3: [94, 84] from Operation: 53+31=84
Current State: 10:[94, 84], Operations: ['52+42=94', '53+31=84']
Exploring Operation: 94-84=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
45,
27,
23,
63
] | 19 | [
"45+63=108",
"108/27=4",
"23-4=19"
] | Current State: 19:[45, 27, 23, 63], Operations: []
Exploring Operation: 45+63=108, Resulting Numbers: [27, 23, 108]
Generated Node #2: [27, 23, 108] from Operation: 45+63=108
Current State: 19:[27, 23, 108], Operations: ['45+63=108']
Exploring Operation: 108/27=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 108/27=4
Current State: 19:[23, 4], Operations: ['45+63=108', '108/27=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
31,
99,
42,
11
] | 37 | [
"99-31=68",
"42-11=31",
"68-31=37"
] | Current State: 37:[31, 99, 42, 11], Operations: []
Exploring Operation: 99-31=68, Resulting Numbers: [42, 11, 68]
Generated Node #2: [42, 11, 68] from Operation: 99-31=68
Current State: 37:[42, 11, 68], Operations: ['99-31=68']
Exploring Operation: 42-11=31, Resulting Numbers: [68, 31]
Generated Node #3: [68, 31] from Operation: 42-11=31
Current State: 37:[68, 31], Operations: ['99-31=68', '42-11=31']
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
75,
14,
25,
22
] | 77 | [
"25-14=11",
"22/11=2",
"75+2=77"
] | Current State: 77:[75, 14, 25, 22], Operations: []
Exploring Operation: 25-14=11, Resulting Numbers: [75, 22, 11]
Generated Node #2: [75, 22, 11] from Operation: 25-14=11
Current State: 77:[75, 22, 11], Operations: ['25-14=11']
Exploring Operation: 22/11=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 22/11=2
Current State: 77:[75, 2], Operations: ['25-14=11', '22/11=2']
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
94,
48,
47,
14
] | 79 | [
"94-48=46",
"47-14=33",
"46+33=79"
] | Current State: 79:[94, 48, 47, 14], Operations: []
Exploring Operation: 94-48=46, Resulting Numbers: [47, 14, 46]
Generated Node #2: [47, 14, 46] from Operation: 94-48=46
Current State: 79:[47, 14, 46], Operations: ['94-48=46']
Exploring Operation: 47-14=33, Resulting Numbers: [46, 33]
Generated Node #3: [46, 33] from Operation: 47-14=33
Current State: 79:[46, 33], Operations: ['94-48=46', '47-14=33']
Exploring Operation: 46+33=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
69,
51,
24,
47
] | 53 | [
"69-51=18",
"24+47=71",
"71-18=53"
] | Current State: 53:[69, 51, 24, 47], Operations: []
Exploring Operation: 69-51=18, Resulting Numbers: [24, 47, 18]
Generated Node #2: [24, 47, 18] from Operation: 69-51=18
Current State: 53:[24, 47, 18], Operations: ['69-51=18']
Exploring Operation: 24+47=71, Resulting Numbers: [18, 71]
Generated Node #3: [18, 71] from Operation: 24+47=71
Current State: 53:[18, 71], Operations: ['69-51=18', '24+47=71']
Exploring Operation: 71-18=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
92,
62,
2,
64
] | 26 | [
"92+62=154",
"2*64=128",
"154-128=26"
] | Current State: 26:[92, 62, 2, 64], Operations: []
Exploring Operation: 92+62=154, Resulting Numbers: [2, 64, 154]
Generated Node #2: [2, 64, 154] from Operation: 92+62=154
Current State: 26:[2, 64, 154], Operations: ['92+62=154']
Exploring Operation: 2*64=128, Resulting Numbers: [154, 128]
Generated Node #3: [154, 128] from Operation: 2*64=128
Current State: 26:[154, 128], Operations: ['92+62=154', '2*64=128']
Exploring Operation: 154-128=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
60,
78,
2,
91
] | 22 | [
"60+78=138",
"138/2=69",
"91-69=22"
] | Current State: 22:[60, 78, 2, 91], Operations: []
Exploring Operation: 60+78=138, Resulting Numbers: [2, 91, 138]
Generated Node #2: [2, 91, 138] from Operation: 60+78=138
Current State: 22:[2, 91, 138], Operations: ['60+78=138']
Exploring Operation: 138/2=69, Resulting Numbers: [91, 69]
Generated Node #3: [91, 69] from Operation: 138/2=69
Current State: 22:[91, 69], Operations: ['60+78=138', '138/2=69']
Exploring Operation: 91-69=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
2,
39,
45,
28
] | 40 | [
"45-39=6",
"2*6=12",
"28+12=40"
] | Current State: 40:[2, 39, 45, 28], Operations: []
Exploring Operation: 45-39=6, Resulting Numbers: [2, 28, 6]
Generated Node #2: [2, 28, 6] from Operation: 45-39=6
Current State: 40:[2, 28, 6], Operations: ['45-39=6']
Exploring Operation: 2*6=12, Resulting Numbers: [28, 12]
Generated Node #3: [28, 12] from Operation: 2*6=12
Current State: 40:[28, 12], Operations: ['45-39=6', '2*6=12']
Exploring Operation: 28+12=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
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