nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
30,
67,
14,
14
] | 65 | [
"67-30=37",
"14+14=28",
"37+28=65"
] | Current State: 65:[30, 67, 14, 14], Operations: []
Exploring Operation: 67-30=37, Resulting Numbers: [14, 14, 37]
Generated Node #2: [14, 14, 37] from Operation: 67-30=37
Current State: 65:[14, 14, 37], Operations: ['67-30=37']
Exploring Operation: 14+14=28, Resulting Numbers: [37, 28]
Generated Node #3: [37, 28] from Operation: 14+14=28
Current State: 65:[37, 28], Operations: ['67-30=37', '14+14=28']
Exploring Operation: 37+28=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
43,
62,
21,
80
] | 40 | [
"62-43=19",
"80-21=59",
"59-19=40"
] | Current State: 40:[43, 62, 21, 80], Operations: []
Exploring Operation: 62-43=19, Resulting Numbers: [21, 80, 19]
Generated Node #2: [21, 80, 19] from Operation: 62-43=19
Current State: 40:[21, 80, 19], Operations: ['62-43=19']
Exploring Operation: 80-21=59, Resulting Numbers: [19, 59]
Generated Node #3: [19, 59] from Operation: 80-21=59
Current State: 40:[19, 59], Operations: ['62-43=19', '80-21=59']
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
68,
19,
56,
85
] | 89 | [
"56*85=4760",
"4760/68=70",
"19+70=89"
] | Current State: 89:[68, 19, 56, 85], Operations: []
Exploring Operation: 56*85=4760, Resulting Numbers: [68, 19, 4760]
Generated Node #2: [68, 19, 4760] from Operation: 56*85=4760
Current State: 89:[68, 19, 4760], Operations: ['56*85=4760']
Exploring Operation: 4760/68=70, Resulting Numbers: [19, 70]
Generated Node #3: [19, 70] from Operation: 4760/68=70
Current State: 89:[19, 70], Operations: ['56*85=4760', '4760/68=70']
Exploring Operation: 19+70=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
62,
36,
56,
85
] | 91 | [
"62-56=6",
"36/6=6",
"85+6=91"
] | Current State: 91:[62, 36, 56, 85], Operations: []
Exploring Operation: 62-56=6, Resulting Numbers: [36, 85, 6]
Generated Node #2: [36, 85, 6] from Operation: 62-56=6
Current State: 91:[36, 85, 6], Operations: ['62-56=6']
Exploring Operation: 36/6=6, Resulting Numbers: [85, 6]
Generated Node #3: [85, 6] from Operation: 36/6=6
Current State: 91:[85, 6], Operations: ['62-56=6', '36/6=6']
Exploring Operation: 85+6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
45,
93,
65,
59
] | 42 | [
"93-45=48",
"65-59=6",
"48-6=42"
] | Current State: 42:[45, 93, 65, 59], Operations: []
Exploring Operation: 93-45=48, Resulting Numbers: [65, 59, 48]
Generated Node #2: [65, 59, 48] from Operation: 93-45=48
Current State: 42:[65, 59, 48], Operations: ['93-45=48']
Exploring Operation: 65-59=6, Resulting Numbers: [48, 6]
Generated Node #3: [48, 6] from Operation: 65-59=6
Current State: 42:[48, 6], Operations: ['93-45=48', '65-59=6']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
56,
28,
55,
55
] | 26 | [
"56+28=84",
"55+55=110",
"110-84=26"
] | Current State: 26:[56, 28, 55, 55], Operations: []
Exploring Operation: 56+28=84, Resulting Numbers: [55, 55, 84]
Generated Node #2: [55, 55, 84] from Operation: 56+28=84
Current State: 26:[55, 55, 84], Operations: ['56+28=84']
Exploring Operation: 55+55=110, Resulting Numbers: [84, 110]
Generated Node #3: [84, 110] from Operation: 55+55=110
Current State: 26:[84, 110], Operations: ['56+28=84', '55+55=110']
Exploring Operation: 110-84=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
55,
76,
26,
73
] | 84 | [
"55+76=131",
"73-26=47",
"131-47=84"
] | Current State: 84:[55, 76, 26, 73], Operations: []
Exploring Operation: 55+76=131, Resulting Numbers: [26, 73, 131]
Generated Node #2: [26, 73, 131] from Operation: 55+76=131
Current State: 84:[26, 73, 131], Operations: ['55+76=131']
Exploring Operation: 73-26=47, Resulting Numbers: [131, 47]
Generated Node #3: [131, 47] from Operation: 73-26=47
Current State: 84:[131, 47], Operations: ['55+76=131', '73-26=47']
Exploring Operation: 131-47=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
70,
29,
47,
68
] | 62 | [
"70-29=41",
"68-47=21",
"41+21=62"
] | Current State: 62:[70, 29, 47, 68], Operations: []
Exploring Operation: 70-29=41, Resulting Numbers: [47, 68, 41]
Generated Node #2: [47, 68, 41] from Operation: 70-29=41
Current State: 62:[47, 68, 41], Operations: ['70-29=41']
Exploring Operation: 68-47=21, Resulting Numbers: [41, 21]
Generated Node #3: [41, 21] from Operation: 68-47=21
Current State: 62:[41, 21], Operations: ['70-29=41', '68-47=21']
Exploring Operation: 41+21=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
40,
75,
1,
2
] | 38 | [
"75-40=35",
"1+2=3",
"35+3=38"
] | Current State: 38:[40, 75, 1, 2], Operations: []
Exploring Operation: 75-40=35, Resulting Numbers: [1, 2, 35]
Generated Node #2: [1, 2, 35] from Operation: 75-40=35
Current State: 38:[1, 2, 35], Operations: ['75-40=35']
Exploring Operation: 1+2=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 1+2=3
Current State: 38:[35, 3], Operations: ['75-40=35', '1+2=3']
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
70,
77,
64,
54
] | 17 | [
"77-70=7",
"64-54=10",
"7+10=17"
] | Current State: 17:[70, 77, 64, 54], Operations: []
Exploring Operation: 77-70=7, Resulting Numbers: [64, 54, 7]
Generated Node #2: [64, 54, 7] from Operation: 77-70=7
Current State: 17:[64, 54, 7], Operations: ['77-70=7']
Exploring Operation: 64-54=10, Resulting Numbers: [7, 10]
Generated Node #3: [7, 10] from Operation: 64-54=10
Current State: 17:[7, 10], Operations: ['77-70=7', '64-54=10']
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
52,
91,
30,
10
] | 70 | [
"30+10=40",
"91*40=3640",
"3640/52=70"
] | Current State: 70:[52, 91, 30, 10], Operations: []
Exploring Operation: 30+10=40, Resulting Numbers: [52, 91, 40]
Generated Node #2: [52, 91, 40] from Operation: 30+10=40
Current State: 70:[52, 91, 40], Operations: ['30+10=40']
Exploring Operation: 91*40=3640, Resulting Numbers: [52, 3640]
Generated Node #3: [52, 3640] from Operation: 91*40=3640
Current State: 70:[52, 3640], Operations: ['30+10=40', '91*40=3640']
Exploring Operation: 3640/52=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
91,
27,
88,
67
] | 58 | [
"91-88=3",
"27/3=9",
"67-9=58"
] | Current State: 58:[91, 27, 88, 67], Operations: []
Exploring Operation: 91-88=3, Resulting Numbers: [27, 67, 3]
Generated Node #2: [27, 67, 3] from Operation: 91-88=3
Current State: 58:[27, 67, 3], Operations: ['91-88=3']
Exploring Operation: 27/3=9, Resulting Numbers: [67, 9]
Generated Node #3: [67, 9] from Operation: 27/3=9
Current State: 58:[67, 9], Operations: ['91-88=3', '27/3=9']
Exploring Operation: 67-9=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
16,
12,
62,
68
] | 77 | [
"16*62=992",
"992-68=924",
"924/12=77"
] | Current State: 77:[16, 12, 62, 68], Operations: []
Exploring Operation: 16*62=992, Resulting Numbers: [12, 68, 992]
Generated Node #2: [12, 68, 992] from Operation: 16*62=992
Current State: 77:[12, 68, 992], Operations: ['16*62=992']
Exploring Operation: 992-68=924, Resulting Numbers: [12, 924]
Generated Node #3: [12, 924] from Operation: 992-68=924
Current State: 77:[12, 924], Operations: ['16*62=992', '992-68=924']
Exploring Operation: 924/12=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
51,
78,
62,
15
] | 52 | [
"51+78=129",
"62+15=77",
"129-77=52"
] | Current State: 52:[51, 78, 62, 15], Operations: []
Exploring Operation: 51+78=129, Resulting Numbers: [62, 15, 129]
Generated Node #2: [62, 15, 129] from Operation: 51+78=129
Current State: 52:[62, 15, 129], Operations: ['51+78=129']
Exploring Operation: 62+15=77, Resulting Numbers: [129, 77]
Generated Node #3: [129, 77] from Operation: 62+15=77
Current State: 52:[129, 77], Operations: ['51+78=129', '62+15=77']
Exploring Operation: 129-77=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
16,
31,
73,
29
] | 65 | [
"31-29=2",
"16/2=8",
"73-8=65"
] | Current State: 65:[16, 31, 73, 29], Operations: []
Exploring Operation: 31-29=2, Resulting Numbers: [16, 73, 2]
Generated Node #2: [16, 73, 2] from Operation: 31-29=2
Current State: 65:[16, 73, 2], Operations: ['31-29=2']
Exploring Operation: 16/2=8, Resulting Numbers: [73, 8]
Generated Node #3: [73, 8] from Operation: 16/2=8
Current State: 65:[73, 8], Operations: ['31-29=2', '16/2=8']
Exploring Operation: 73-8=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
17,
23,
48,
98
] | 44 | [
"23-17=6",
"98-48=50",
"50-6=44"
] | Current State: 44:[17, 23, 48, 98], Operations: []
Exploring Operation: 23-17=6, Resulting Numbers: [48, 98, 6]
Generated Node #2: [48, 98, 6] from Operation: 23-17=6
Current State: 44:[48, 98, 6], Operations: ['23-17=6']
Exploring Operation: 98-48=50, Resulting Numbers: [6, 50]
Generated Node #3: [6, 50] from Operation: 98-48=50
Current State: 44:[6, 50], Operations: ['23-17=6', '98-48=50']
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
2,
62,
26,
52
] | 68 | [
"2*52=104",
"62-26=36",
"104-36=68"
] | Current State: 68:[2, 62, 26, 52], Operations: []
Exploring Operation: 2*52=104, Resulting Numbers: [62, 26, 104]
Generated Node #2: [62, 26, 104] from Operation: 2*52=104
Current State: 68:[62, 26, 104], Operations: ['2*52=104']
Exploring Operation: 62-26=36, Resulting Numbers: [104, 36]
Generated Node #3: [104, 36] from Operation: 62-26=36
Current State: 68:[104, 36], Operations: ['2*52=104', '62-26=36']
Exploring Operation: 104-36=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
1,
64,
9,
2
] | 70 | [
"64-1=63",
"9-2=7",
"63+7=70"
] | Current State: 70:[1, 64, 9, 2], Operations: []
Exploring Operation: 64-1=63, Resulting Numbers: [9, 2, 63]
Generated Node #2: [9, 2, 63] from Operation: 64-1=63
Current State: 70:[9, 2, 63], Operations: ['64-1=63']
Exploring Operation: 9-2=7, Resulting Numbers: [63, 7]
Generated Node #3: [63, 7] from Operation: 9-2=7
Current State: 70:[63, 7], Operations: ['64-1=63', '9-2=7']
Exploring Operation: 63+7=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
29,
5,
77,
96
] | 43 | [
"29-5=24",
"96-77=19",
"24+19=43"
] | Current State: 43:[29, 5, 77, 96], Operations: []
Exploring Operation: 29-5=24, Resulting Numbers: [77, 96, 24]
Generated Node #2: [77, 96, 24] from Operation: 29-5=24
Current State: 43:[77, 96, 24], Operations: ['29-5=24']
Exploring Operation: 96-77=19, Resulting Numbers: [24, 19]
Generated Node #3: [24, 19] from Operation: 96-77=19
Current State: 43:[24, 19], Operations: ['29-5=24', '96-77=19']
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
11,
29,
16,
5
] | 100 | [
"11*5=55",
"29+16=45",
"55+45=100"
] | Current State: 100:[11, 29, 16, 5], Operations: []
Exploring Operation: 11*5=55, Resulting Numbers: [29, 16, 55]
Generated Node #2: [29, 16, 55] from Operation: 11*5=55
Current State: 100:[29, 16, 55], Operations: ['11*5=55']
Exploring Operation: 29+16=45, Resulting Numbers: [55, 45]
Generated Node #3: [55, 45] from Operation: 29+16=45
Current State: 100:[55, 45], Operations: ['11*5=55', '29+16=45']
Exploring Operation: 55+45=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
46,
64,
92,
28
] | 47 | [
"92-64=28",
"28/28=1",
"46+1=47"
] | Current State: 47:[46, 64, 92, 28], Operations: []
Exploring Operation: 92-64=28, Resulting Numbers: [46, 28, 28]
Generated Node #2: [46, 28, 28] from Operation: 92-64=28
Current State: 47:[46, 28, 28], Operations: ['92-64=28']
Exploring Operation: 28/28=1, Resulting Numbers: [46, 1]
Generated Node #3: [46, 1] from Operation: 28/28=1
Current State: 47:[46, 1], Operations: ['92-64=28', '28/28=1']
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
19,
36,
58,
24
] | 26 | [
"58-19=39",
"24*39=936",
"936/36=26"
] | Current State: 26:[19, 36, 58, 24], Operations: []
Exploring Operation: 58-19=39, Resulting Numbers: [36, 24, 39]
Generated Node #2: [36, 24, 39] from Operation: 58-19=39
Current State: 26:[36, 24, 39], Operations: ['58-19=39']
Exploring Operation: 24*39=936, Resulting Numbers: [36, 936]
Generated Node #3: [36, 936] from Operation: 24*39=936
Current State: 26:[36, 936], Operations: ['58-19=39', '24*39=936']
Exploring Operation: 936/36=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
41,
85,
69,
7
] | 50 | [
"41+85=126",
"69+7=76",
"126-76=50"
] | Current State: 50:[41, 85, 69, 7], Operations: []
Exploring Operation: 41+85=126, Resulting Numbers: [69, 7, 126]
Generated Node #2: [69, 7, 126] from Operation: 41+85=126
Current State: 50:[69, 7, 126], Operations: ['41+85=126']
Exploring Operation: 69+7=76, Resulting Numbers: [126, 76]
Generated Node #3: [126, 76] from Operation: 69+7=76
Current State: 50:[126, 76], Operations: ['41+85=126', '69+7=76']
Exploring Operation: 126-76=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
12,
11,
47,
5
] | 80 | [
"12*11=132",
"47+5=52",
"132-52=80"
] | Current State: 80:[12, 11, 47, 5], Operations: []
Exploring Operation: 12*11=132, Resulting Numbers: [47, 5, 132]
Generated Node #2: [47, 5, 132] from Operation: 12*11=132
Current State: 80:[47, 5, 132], Operations: ['12*11=132']
Exploring Operation: 47+5=52, Resulting Numbers: [132, 52]
Generated Node #3: [132, 52] from Operation: 47+5=52
Current State: 80:[132, 52], Operations: ['12*11=132', '47+5=52']
Exploring Operation: 132-52=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
36,
76,
96,
43
] | 93 | [
"76-36=40",
"96-43=53",
"40+53=93"
] | Current State: 93:[36, 76, 96, 43], Operations: []
Exploring Operation: 76-36=40, Resulting Numbers: [96, 43, 40]
Generated Node #2: [96, 43, 40] from Operation: 76-36=40
Current State: 93:[96, 43, 40], Operations: ['76-36=40']
Exploring Operation: 96-43=53, Resulting Numbers: [40, 53]
Generated Node #3: [40, 53] from Operation: 96-43=53
Current State: 93:[40, 53], Operations: ['76-36=40', '96-43=53']
Exploring Operation: 40+53=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
60,
84,
21,
18
] | 29 | [
"60+84=144",
"144/18=8",
"21+8=29"
] | Current State: 29:[60, 84, 21, 18], Operations: []
Exploring Operation: 60+84=144, Resulting Numbers: [21, 18, 144]
Generated Node #2: [21, 18, 144] from Operation: 60+84=144
Current State: 29:[21, 18, 144], Operations: ['60+84=144']
Exploring Operation: 144/18=8, Resulting Numbers: [21, 8]
Generated Node #3: [21, 8] from Operation: 144/18=8
Current State: 29:[21, 8], Operations: ['60+84=144', '144/18=8']
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
7,
62,
69,
61
] | 63 | [
"62-7=55",
"69-61=8",
"55+8=63"
] | Current State: 63:[7, 62, 69, 61], Operations: []
Exploring Operation: 62-7=55, Resulting Numbers: [69, 61, 55]
Generated Node #2: [69, 61, 55] from Operation: 62-7=55
Current State: 63:[69, 61, 55], Operations: ['62-7=55']
Exploring Operation: 69-61=8, Resulting Numbers: [55, 8]
Generated Node #3: [55, 8] from Operation: 69-61=8
Current State: 63:[55, 8], Operations: ['62-7=55', '69-61=8']
Exploring Operation: 55+8=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
18,
28,
85,
58
] | 94 | [
"18*85=1530",
"28*58=1624",
"1624-1530=94"
] | Current State: 94:[18, 28, 85, 58], Operations: []
Exploring Operation: 18*85=1530, Resulting Numbers: [28, 58, 1530]
Generated Node #2: [28, 58, 1530] from Operation: 18*85=1530
Current State: 94:[28, 58, 1530], Operations: ['18*85=1530']
Exploring Operation: 28*58=1624, Resulting Numbers: [1530, 1624]
Generated Node #3: [1530, 1624] from Operation: 28*58=1624
Current State: 94:[1530, 1624], Operations: ['18*85=1530', '28*58=1624']
Exploring Operation: 1624-1530=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
91,
81,
43,
14
] | 18 | [
"91+81=172",
"172/43=4",
"14+4=18"
] | Current State: 18:[91, 81, 43, 14], Operations: []
Exploring Operation: 91+81=172, Resulting Numbers: [43, 14, 172]
Generated Node #2: [43, 14, 172] from Operation: 91+81=172
Current State: 18:[43, 14, 172], Operations: ['91+81=172']
Exploring Operation: 172/43=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 172/43=4
Current State: 18:[14, 4], Operations: ['91+81=172', '172/43=4']
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
8,
4,
12,
78
] | 34 | [
"8*4=32",
"78-12=66",
"66-32=34"
] | Current State: 34:[8, 4, 12, 78], Operations: []
Exploring Operation: 8*4=32, Resulting Numbers: [12, 78, 32]
Generated Node #2: [12, 78, 32] from Operation: 8*4=32
Current State: 34:[12, 78, 32], Operations: ['8*4=32']
Exploring Operation: 78-12=66, Resulting Numbers: [32, 66]
Generated Node #3: [32, 66] from Operation: 78-12=66
Current State: 34:[32, 66], Operations: ['8*4=32', '78-12=66']
Exploring Operation: 66-32=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
48,
55,
57,
64
] | 18 | [
"48+55=103",
"57+64=121",
"121-103=18"
] | Current State: 18:[48, 55, 57, 64], Operations: []
Exploring Operation: 48+55=103, Resulting Numbers: [57, 64, 103]
Generated Node #2: [57, 64, 103] from Operation: 48+55=103
Current State: 18:[57, 64, 103], Operations: ['48+55=103']
Exploring Operation: 57+64=121, Resulting Numbers: [103, 121]
Generated Node #3: [103, 121] from Operation: 57+64=121
Current State: 18:[103, 121], Operations: ['48+55=103', '57+64=121']
Exploring Operation: 121-103=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
64,
45,
3,
76
] | 11 | [
"64+45=109",
"109-76=33",
"33/3=11"
] | Current State: 11:[64, 45, 3, 76], Operations: []
Exploring Operation: 64+45=109, Resulting Numbers: [3, 76, 109]
Generated Node #2: [3, 76, 109] from Operation: 64+45=109
Current State: 11:[3, 76, 109], Operations: ['64+45=109']
Exploring Operation: 109-76=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 109-76=33
Current State: 11:[3, 33], Operations: ['64+45=109', '109-76=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
89,
5,
42,
2
] | 81 | [
"42-2=40",
"40/5=8",
"89-8=81"
] | Current State: 81:[89, 5, 42, 2], Operations: []
Exploring Operation: 42-2=40, Resulting Numbers: [89, 5, 40]
Generated Node #2: [89, 5, 40] from Operation: 42-2=40
Current State: 81:[89, 5, 40], Operations: ['42-2=40']
Exploring Operation: 40/5=8, Resulting Numbers: [89, 8]
Generated Node #3: [89, 8] from Operation: 40/5=8
Current State: 81:[89, 8], Operations: ['42-2=40', '40/5=8']
Exploring Operation: 89-8=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
1,
38,
16,
11
] | 32 | [
"38-1=37",
"16-11=5",
"37-5=32"
] | Current State: 32:[1, 38, 16, 11], Operations: []
Exploring Operation: 38-1=37, Resulting Numbers: [16, 11, 37]
Generated Node #2: [16, 11, 37] from Operation: 38-1=37
Current State: 32:[16, 11, 37], Operations: ['38-1=37']
Exploring Operation: 16-11=5, Resulting Numbers: [37, 5]
Generated Node #3: [37, 5] from Operation: 16-11=5
Current State: 32:[37, 5], Operations: ['38-1=37', '16-11=5']
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
72,
98,
14,
28
] | 16 | [
"98-72=26",
"14+28=42",
"42-26=16"
] | Current State: 16:[72, 98, 14, 28], Operations: []
Exploring Operation: 98-72=26, Resulting Numbers: [14, 28, 26]
Generated Node #2: [14, 28, 26] from Operation: 98-72=26
Current State: 16:[14, 28, 26], Operations: ['98-72=26']
Exploring Operation: 14+28=42, Resulting Numbers: [26, 42]
Generated Node #3: [26, 42] from Operation: 14+28=42
Current State: 16:[26, 42], Operations: ['98-72=26', '14+28=42']
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
27,
55,
88,
77
] | 18 | [
"27*88=2376",
"55+77=132",
"2376/132=18"
] | Current State: 18:[27, 55, 88, 77], Operations: []
Exploring Operation: 27*88=2376, Resulting Numbers: [55, 77, 2376]
Generated Node #2: [55, 77, 2376] from Operation: 27*88=2376
Current State: 18:[55, 77, 2376], Operations: ['27*88=2376']
Exploring Operation: 55+77=132, Resulting Numbers: [2376, 132]
Generated Node #3: [2376, 132] from Operation: 55+77=132
Current State: 18:[2376, 132], Operations: ['27*88=2376', '55+77=132']
Exploring Operation: 2376/132=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
3,
73,
68,
22
] | 95 | [
"22-3=19",
"73-68=5",
"19*5=95"
] | Current State: 95:[3, 73, 68, 22], Operations: []
Exploring Operation: 22-3=19, Resulting Numbers: [73, 68, 19]
Generated Node #2: [73, 68, 19] from Operation: 22-3=19
Current State: 95:[73, 68, 19], Operations: ['22-3=19']
Exploring Operation: 73-68=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 73-68=5
Current State: 95:[19, 5], Operations: ['22-3=19', '73-68=5']
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
62,
85,
62,
57
] | 29 | [
"62/62=1",
"85-57=28",
"1+28=29"
] | Current State: 29:[62, 85, 62, 57], Operations: []
Exploring Operation: 62/62=1, Resulting Numbers: [85, 57, 1]
Generated Node #2: [85, 57, 1] from Operation: 62/62=1
Current State: 29:[85, 57, 1], Operations: ['62/62=1']
Exploring Operation: 85-57=28, Resulting Numbers: [1, 28]
Generated Node #3: [1, 28] from Operation: 85-57=28
Current State: 29:[1, 28], Operations: ['62/62=1', '85-57=28']
Exploring Operation: 1+28=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
49,
51,
4,
51
] | 76 | [
"49+51=100",
"100/4=25",
"51+25=76"
] | Current State: 76:[49, 51, 4, 51], Operations: []
Exploring Operation: 49+51=100, Resulting Numbers: [4, 100]
Generated Node #2: [4, 100] from Operation: 49+51=100
Current State: 76:[4, 100], Operations: ['49+51=100']
Exploring Operation: 100/4=25, Resulting Numbers: [25]
25,76 equal: Goal Reached
Exploring Operation: 51+25=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
41,
47,
48,
77
] | 23 | [
"47-41=6",
"77-48=29",
"29-6=23"
] | Current State: 23:[41, 47, 48, 77], Operations: []
Exploring Operation: 47-41=6, Resulting Numbers: [48, 77, 6]
Generated Node #2: [48, 77, 6] from Operation: 47-41=6
Current State: 23:[48, 77, 6], Operations: ['47-41=6']
Exploring Operation: 77-48=29, Resulting Numbers: [6, 29]
Generated Node #3: [6, 29] from Operation: 77-48=29
Current State: 23:[6, 29], Operations: ['47-41=6', '77-48=29']
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
32,
52,
1,
7
] | 28 | [
"52-32=20",
"1+7=8",
"20+8=28"
] | Current State: 28:[32, 52, 1, 7], Operations: []
Exploring Operation: 52-32=20, Resulting Numbers: [1, 7, 20]
Generated Node #2: [1, 7, 20] from Operation: 52-32=20
Current State: 28:[1, 7, 20], Operations: ['52-32=20']
Exploring Operation: 1+7=8, Resulting Numbers: [20, 8]
Generated Node #3: [20, 8] from Operation: 1+7=8
Current State: 28:[20, 8], Operations: ['52-32=20', '1+7=8']
Exploring Operation: 20+8=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
72,
62,
22,
13
] | 54 | [
"22-13=9",
"72/9=8",
"62-8=54"
] | Current State: 54:[72, 62, 22, 13], Operations: []
Exploring Operation: 22-13=9, Resulting Numbers: [72, 62, 9]
Generated Node #2: [72, 62, 9] from Operation: 22-13=9
Current State: 54:[72, 62, 9], Operations: ['22-13=9']
Exploring Operation: 72/9=8, Resulting Numbers: [62, 8]
Generated Node #3: [62, 8] from Operation: 72/9=8
Current State: 54:[62, 8], Operations: ['22-13=9', '72/9=8']
Exploring Operation: 62-8=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
29,
67,
5,
79
] | 77 | [
"79-29=50",
"50/5=10",
"67+10=77"
] | Current State: 77:[29, 67, 5, 79], Operations: []
Exploring Operation: 79-29=50, Resulting Numbers: [67, 5, 50]
Generated Node #2: [67, 5, 50] from Operation: 79-29=50
Current State: 77:[67, 5, 50], Operations: ['79-29=50']
Exploring Operation: 50/5=10, Resulting Numbers: [67, 10]
Generated Node #3: [67, 10] from Operation: 50/5=10
Current State: 77:[67, 10], Operations: ['79-29=50', '50/5=10']
Exploring Operation: 67+10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
50,
33,
64,
38
] | 85 | [
"50-33=17",
"64+38=102",
"102-17=85"
] | Current State: 85:[50, 33, 64, 38], Operations: []
Exploring Operation: 50-33=17, Resulting Numbers: [64, 38, 17]
Generated Node #2: [64, 38, 17] from Operation: 50-33=17
Current State: 85:[64, 38, 17], Operations: ['50-33=17']
Exploring Operation: 64+38=102, Resulting Numbers: [17, 102]
Generated Node #3: [17, 102] from Operation: 64+38=102
Current State: 85:[17, 102], Operations: ['50-33=17', '64+38=102']
Exploring Operation: 102-17=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
45,
4,
68,
31
] | 61 | [
"68-45=23",
"4*23=92",
"92-31=61"
] | Current State: 61:[45, 4, 68, 31], Operations: []
Exploring Operation: 68-45=23, Resulting Numbers: [4, 31, 23]
Generated Node #2: [4, 31, 23] from Operation: 68-45=23
Current State: 61:[4, 31, 23], Operations: ['68-45=23']
Exploring Operation: 4*23=92, Resulting Numbers: [31, 92]
Generated Node #3: [31, 92] from Operation: 4*23=92
Current State: 61:[31, 92], Operations: ['68-45=23', '4*23=92']
Exploring Operation: 92-31=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
2,
60,
6,
63
] | 81 | [
"6/2=3",
"63/3=21",
"60+21=81"
] | Current State: 81:[2, 60, 6, 63], Operations: []
Exploring Operation: 6/2=3, Resulting Numbers: [60, 63, 3]
Generated Node #2: [60, 63, 3] from Operation: 6/2=3
Current State: 81:[60, 63, 3], Operations: ['6/2=3']
Exploring Operation: 63/3=21, Resulting Numbers: [60, 21]
Generated Node #3: [60, 21] from Operation: 63/3=21
Current State: 81:[60, 21], Operations: ['6/2=3', '63/3=21']
Exploring Operation: 60+21=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
13,
32,
96,
14
] | 81 | [
"13+14=27",
"96/32=3",
"27*3=81"
] | Current State: 81:[13, 32, 96, 14], Operations: []
Exploring Operation: 13+14=27, Resulting Numbers: [32, 96, 27]
Generated Node #2: [32, 96, 27] from Operation: 13+14=27
Current State: 81:[32, 96, 27], Operations: ['13+14=27']
Exploring Operation: 96/32=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 96/32=3
Current State: 81:[27, 3], Operations: ['13+14=27', '96/32=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
45,
73,
79,
61
] | 46 | [
"73-45=28",
"79-61=18",
"28+18=46"
] | Current State: 46:[45, 73, 79, 61], Operations: []
Exploring Operation: 73-45=28, Resulting Numbers: [79, 61, 28]
Generated Node #2: [79, 61, 28] from Operation: 73-45=28
Current State: 46:[79, 61, 28], Operations: ['73-45=28']
Exploring Operation: 79-61=18, Resulting Numbers: [28, 18]
Generated Node #3: [28, 18] from Operation: 79-61=18
Current State: 46:[28, 18], Operations: ['73-45=28', '79-61=18']
Exploring Operation: 28+18=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
2,
31,
2,
74
] | 90 | [
"31-2=29",
"74-29=45",
"2*45=90"
] | Current State: 90:[2, 31, 2, 74], Operations: []
Exploring Operation: 31-2=29, Resulting Numbers: [74, 29]
Generated Node #2: [74, 29] from Operation: 31-2=29
Current State: 90:[74, 29], Operations: ['31-2=29']
Exploring Operation: 74-29=45, Resulting Numbers: [45]
45,90 equal: Goal Reached
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
67,
57,
20,
37
] | 38 | [
"67-37=30",
"57*20=1140",
"1140/30=38"
] | Current State: 38:[67, 57, 20, 37], Operations: []
Exploring Operation: 67-37=30, Resulting Numbers: [57, 20, 30]
Generated Node #2: [57, 20, 30] from Operation: 67-37=30
Current State: 38:[57, 20, 30], Operations: ['67-37=30']
Exploring Operation: 57*20=1140, Resulting Numbers: [30, 1140]
Generated Node #3: [30, 1140] from Operation: 57*20=1140
Current State: 38:[30, 1140], Operations: ['67-37=30', '57*20=1140']
Exploring Operation: 1140/30=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
54,
3,
97,
12
] | 28 | [
"54+3=57",
"97-12=85",
"85-57=28"
] | Current State: 28:[54, 3, 97, 12], Operations: []
Exploring Operation: 54+3=57, Resulting Numbers: [97, 12, 57]
Generated Node #2: [97, 12, 57] from Operation: 54+3=57
Current State: 28:[97, 12, 57], Operations: ['54+3=57']
Exploring Operation: 97-12=85, Resulting Numbers: [57, 85]
Generated Node #3: [57, 85] from Operation: 97-12=85
Current State: 28:[57, 85], Operations: ['54+3=57', '97-12=85']
Exploring Operation: 85-57=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
85,
5,
43,
88
] | 26 | [
"85-43=42",
"88+42=130",
"130/5=26"
] | Current State: 26:[85, 5, 43, 88], Operations: []
Exploring Operation: 85-43=42, Resulting Numbers: [5, 88, 42]
Generated Node #2: [5, 88, 42] from Operation: 85-43=42
Current State: 26:[5, 88, 42], Operations: ['85-43=42']
Exploring Operation: 88+42=130, Resulting Numbers: [5, 130]
Generated Node #3: [5, 130] from Operation: 88+42=130
Current State: 26:[5, 130], Operations: ['85-43=42', '88+42=130']
Exploring Operation: 130/5=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
60,
20,
13,
25
] | 52 | [
"60-20=40",
"25-13=12",
"40+12=52"
] | Current State: 52:[60, 20, 13, 25], Operations: []
Exploring Operation: 60-20=40, Resulting Numbers: [13, 25, 40]
Generated Node #2: [13, 25, 40] from Operation: 60-20=40
Current State: 52:[13, 25, 40], Operations: ['60-20=40']
Exploring Operation: 25-13=12, Resulting Numbers: [40, 12]
Generated Node #3: [40, 12] from Operation: 25-13=12
Current State: 52:[40, 12], Operations: ['60-20=40', '25-13=12']
Exploring Operation: 40+12=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
25,
8,
86,
34
] | 63 | [
"25*86=2150",
"2150-8=2142",
"2142/34=63"
] | Current State: 63:[25, 8, 86, 34], Operations: []
Exploring Operation: 25*86=2150, Resulting Numbers: [8, 34, 2150]
Generated Node #2: [8, 34, 2150] from Operation: 25*86=2150
Current State: 63:[8, 34, 2150], Operations: ['25*86=2150']
Exploring Operation: 2150-8=2142, Resulting Numbers: [34, 2142]
Generated Node #3: [34, 2142] from Operation: 2150-8=2142
Current State: 63:[34, 2142], Operations: ['25*86=2150', '2150-8=2142']
Exploring Operation: 2142/34=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
51,
93,
92,
4
] | 54 | [
"93-51=42",
"92+4=96",
"96-42=54"
] | Current State: 54:[51, 93, 92, 4], Operations: []
Exploring Operation: 93-51=42, Resulting Numbers: [92, 4, 42]
Generated Node #2: [92, 4, 42] from Operation: 93-51=42
Current State: 54:[92, 4, 42], Operations: ['93-51=42']
Exploring Operation: 92+4=96, Resulting Numbers: [42, 96]
Generated Node #3: [42, 96] from Operation: 92+4=96
Current State: 54:[42, 96], Operations: ['93-51=42', '92+4=96']
Exploring Operation: 96-42=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
62,
90,
13,
67
] | 82 | [
"90-62=28",
"67-13=54",
"28+54=82"
] | Current State: 82:[62, 90, 13, 67], Operations: []
Exploring Operation: 90-62=28, Resulting Numbers: [13, 67, 28]
Generated Node #2: [13, 67, 28] from Operation: 90-62=28
Current State: 82:[13, 67, 28], Operations: ['90-62=28']
Exploring Operation: 67-13=54, Resulting Numbers: [28, 54]
Generated Node #3: [28, 54] from Operation: 67-13=54
Current State: 82:[28, 54], Operations: ['90-62=28', '67-13=54']
Exploring Operation: 28+54=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
26,
70,
13,
48
] | 44 | [
"26/13=2",
"70-48=22",
"2*22=44"
] | Current State: 44:[26, 70, 13, 48], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [70, 48, 2]
Generated Node #2: [70, 48, 2] from Operation: 26/13=2
Current State: 44:[70, 48, 2], Operations: ['26/13=2']
Exploring Operation: 70-48=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 70-48=22
Current State: 44:[2, 22], Operations: ['26/13=2', '70-48=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
7,
11,
19,
3
] | 77 | [
"19-11=8",
"3+8=11",
"7*11=77"
] | Current State: 77:[7, 11, 19, 3], Operations: []
Exploring Operation: 19-11=8, Resulting Numbers: [7, 3, 8]
Generated Node #2: [7, 3, 8] from Operation: 19-11=8
Current State: 77:[7, 3, 8], Operations: ['19-11=8']
Exploring Operation: 3+8=11, Resulting Numbers: [7, 11]
Generated Node #3: [7, 11] from Operation: 3+8=11
Current State: 77:[7, 11], Operations: ['19-11=8', '3+8=11']
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
55,
62,
97,
89
] | 69 | [
"55+62=117",
"97+89=186",
"186-117=69"
] | Current State: 69:[55, 62, 97, 89], Operations: []
Exploring Operation: 55+62=117, Resulting Numbers: [97, 89, 117]
Generated Node #2: [97, 89, 117] from Operation: 55+62=117
Current State: 69:[97, 89, 117], Operations: ['55+62=117']
Exploring Operation: 97+89=186, Resulting Numbers: [117, 186]
Generated Node #3: [117, 186] from Operation: 97+89=186
Current State: 69:[117, 186], Operations: ['55+62=117', '97+89=186']
Exploring Operation: 186-117=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
22,
18,
33,
20
] | 77 | [
"22+20=42",
"33*42=1386",
"1386/18=77"
] | Current State: 77:[22, 18, 33, 20], Operations: []
Exploring Operation: 22+20=42, Resulting Numbers: [18, 33, 42]
Generated Node #2: [18, 33, 42] from Operation: 22+20=42
Current State: 77:[18, 33, 42], Operations: ['22+20=42']
Exploring Operation: 33*42=1386, Resulting Numbers: [18, 1386]
Generated Node #3: [18, 1386] from Operation: 33*42=1386
Current State: 77:[18, 1386], Operations: ['22+20=42', '33*42=1386']
Exploring Operation: 1386/18=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
50,
75,
93,
5
] | 28 | [
"93-50=43",
"75/5=15",
"43-15=28"
] | Current State: 28:[50, 75, 93, 5], Operations: []
Exploring Operation: 93-50=43, Resulting Numbers: [75, 5, 43]
Generated Node #2: [75, 5, 43] from Operation: 93-50=43
Current State: 28:[75, 5, 43], Operations: ['93-50=43']
Exploring Operation: 75/5=15, Resulting Numbers: [43, 15]
Generated Node #3: [43, 15] from Operation: 75/5=15
Current State: 28:[43, 15], Operations: ['93-50=43', '75/5=15']
Exploring Operation: 43-15=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
54,
23,
70,
68
] | 85 | [
"70-68=2",
"54*2=108",
"108-23=85"
] | Current State: 85:[54, 23, 70, 68], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [54, 23, 2]
Generated Node #2: [54, 23, 2] from Operation: 70-68=2
Current State: 85:[54, 23, 2], Operations: ['70-68=2']
Exploring Operation: 54*2=108, Resulting Numbers: [23, 108]
Generated Node #3: [23, 108] from Operation: 54*2=108
Current State: 85:[23, 108], Operations: ['70-68=2', '54*2=108']
Exploring Operation: 108-23=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
81,
6,
19,
54
] | 14 | [
"81+6=87",
"19+54=73",
"87-73=14"
] | Current State: 14:[81, 6, 19, 54], Operations: []
Exploring Operation: 81+6=87, Resulting Numbers: [19, 54, 87]
Generated Node #2: [19, 54, 87] from Operation: 81+6=87
Current State: 14:[19, 54, 87], Operations: ['81+6=87']
Exploring Operation: 19+54=73, Resulting Numbers: [87, 73]
Generated Node #3: [87, 73] from Operation: 19+54=73
Current State: 14:[87, 73], Operations: ['81+6=87', '19+54=73']
Exploring Operation: 87-73=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
28,
71,
32,
30
] | 41 | [
"71-28=43",
"32-30=2",
"43-2=41"
] | Current State: 41:[28, 71, 32, 30], Operations: []
Exploring Operation: 71-28=43, Resulting Numbers: [32, 30, 43]
Generated Node #2: [32, 30, 43] from Operation: 71-28=43
Current State: 41:[32, 30, 43], Operations: ['71-28=43']
Exploring Operation: 32-30=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 32-30=2
Current State: 41:[43, 2], Operations: ['71-28=43', '32-30=2']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
23,
32,
91,
58
] | 22 | [
"23+32=55",
"91-58=33",
"55-33=22"
] | Current State: 22:[23, 32, 91, 58], Operations: []
Exploring Operation: 23+32=55, Resulting Numbers: [91, 58, 55]
Generated Node #2: [91, 58, 55] from Operation: 23+32=55
Current State: 22:[91, 58, 55], Operations: ['23+32=55']
Exploring Operation: 91-58=33, Resulting Numbers: [55, 33]
Generated Node #3: [55, 33] from Operation: 91-58=33
Current State: 22:[55, 33], Operations: ['23+32=55', '91-58=33']
Exploring Operation: 55-33=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
63,
72,
16,
45
] | 27 | [
"72*16=1152",
"63+1152=1215",
"1215/45=27"
] | Current State: 27:[63, 72, 16, 45], Operations: []
Exploring Operation: 72*16=1152, Resulting Numbers: [63, 45, 1152]
Generated Node #2: [63, 45, 1152] from Operation: 72*16=1152
Current State: 27:[63, 45, 1152], Operations: ['72*16=1152']
Exploring Operation: 63+1152=1215, Resulting Numbers: [45, 1215]
Generated Node #3: [45, 1215] from Operation: 63+1152=1215
Current State: 27:[45, 1215], Operations: ['72*16=1152', '63+1152=1215']
Exploring Operation: 1215/45=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
9,
60,
3,
43
] | 33 | [
"9-3=6",
"60/6=10",
"43-10=33"
] | Current State: 33:[9, 60, 3, 43], Operations: []
Exploring Operation: 9-3=6, Resulting Numbers: [60, 43, 6]
Generated Node #2: [60, 43, 6] from Operation: 9-3=6
Current State: 33:[60, 43, 6], Operations: ['9-3=6']
Exploring Operation: 60/6=10, Resulting Numbers: [43, 10]
Generated Node #3: [43, 10] from Operation: 60/6=10
Current State: 33:[43, 10], Operations: ['9-3=6', '60/6=10']
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
84,
67,
35,
71
] | 19 | [
"84-67=17",
"71-35=36",
"36-17=19"
] | Current State: 19:[84, 67, 35, 71], Operations: []
Exploring Operation: 84-67=17, Resulting Numbers: [35, 71, 17]
Generated Node #2: [35, 71, 17] from Operation: 84-67=17
Current State: 19:[35, 71, 17], Operations: ['84-67=17']
Exploring Operation: 71-35=36, Resulting Numbers: [17, 36]
Generated Node #3: [17, 36] from Operation: 71-35=36
Current State: 19:[17, 36], Operations: ['84-67=17', '71-35=36']
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
7,
72,
42,
2
] | 80 | [
"42/7=6",
"72+2=74",
"6+74=80"
] | Current State: 80:[7, 72, 42, 2], Operations: []
Exploring Operation: 42/7=6, Resulting Numbers: [72, 2, 6]
Generated Node #2: [72, 2, 6] from Operation: 42/7=6
Current State: 80:[72, 2, 6], Operations: ['42/7=6']
Exploring Operation: 72+2=74, Resulting Numbers: [6, 74]
Generated Node #3: [6, 74] from Operation: 72+2=74
Current State: 80:[6, 74], Operations: ['42/7=6', '72+2=74']
Exploring Operation: 6+74=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
21,
92,
90,
1
] | 41 | [
"92-90=2",
"21*2=42",
"42-1=41"
] | Current State: 41:[21, 92, 90, 1], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [21, 1, 2]
Generated Node #2: [21, 1, 2] from Operation: 92-90=2
Current State: 41:[21, 1, 2], Operations: ['92-90=2']
Exploring Operation: 21*2=42, Resulting Numbers: [1, 42]
Generated Node #3: [1, 42] from Operation: 21*2=42
Current State: 41:[1, 42], Operations: ['92-90=2', '21*2=42']
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
61,
4,
59,
27
] | 35 | [
"61-59=2",
"4*2=8",
"27+8=35"
] | Current State: 35:[61, 4, 59, 27], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [4, 27, 2]
Generated Node #2: [4, 27, 2] from Operation: 61-59=2
Current State: 35:[4, 27, 2], Operations: ['61-59=2']
Exploring Operation: 4*2=8, Resulting Numbers: [27, 8]
Generated Node #3: [27, 8] from Operation: 4*2=8
Current State: 35:[27, 8], Operations: ['61-59=2', '4*2=8']
Exploring Operation: 27+8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
83,
23,
92,
16
] | 30 | [
"83+23=106",
"92-16=76",
"106-76=30"
] | Current State: 30:[83, 23, 92, 16], Operations: []
Exploring Operation: 83+23=106, Resulting Numbers: [92, 16, 106]
Generated Node #2: [92, 16, 106] from Operation: 83+23=106
Current State: 30:[92, 16, 106], Operations: ['83+23=106']
Exploring Operation: 92-16=76, Resulting Numbers: [106, 76]
Generated Node #3: [106, 76] from Operation: 92-16=76
Current State: 30:[106, 76], Operations: ['83+23=106', '92-16=76']
Exploring Operation: 106-76=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
73,
5,
87,
39
] | 71 | [
"73+87=160",
"160/5=32",
"39+32=71"
] | Current State: 71:[73, 5, 87, 39], Operations: []
Exploring Operation: 73+87=160, Resulting Numbers: [5, 39, 160]
Generated Node #2: [5, 39, 160] from Operation: 73+87=160
Current State: 71:[5, 39, 160], Operations: ['73+87=160']
Exploring Operation: 160/5=32, Resulting Numbers: [39, 32]
Generated Node #3: [39, 32] from Operation: 160/5=32
Current State: 71:[39, 32], Operations: ['73+87=160', '160/5=32']
Exploring Operation: 39+32=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
38,
91,
19,
48
] | 67 | [
"38/19=2",
"48/2=24",
"91-24=67"
] | Current State: 67:[38, 91, 19, 48], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [91, 48, 2]
Generated Node #2: [91, 48, 2] from Operation: 38/19=2
Current State: 67:[91, 48, 2], Operations: ['38/19=2']
Exploring Operation: 48/2=24, Resulting Numbers: [91, 24]
Generated Node #3: [91, 24] from Operation: 48/2=24
Current State: 67:[91, 24], Operations: ['38/19=2', '48/2=24']
Exploring Operation: 91-24=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
7,
58,
69,
49
] | 28 | [
"69-58=11",
"7*11=77",
"77-49=28"
] | Current State: 28:[7, 58, 69, 49], Operations: []
Exploring Operation: 69-58=11, Resulting Numbers: [7, 49, 11]
Generated Node #2: [7, 49, 11] from Operation: 69-58=11
Current State: 28:[7, 49, 11], Operations: ['69-58=11']
Exploring Operation: 7*11=77, Resulting Numbers: [49, 77]
Generated Node #3: [49, 77] from Operation: 7*11=77
Current State: 28:[49, 77], Operations: ['69-58=11', '7*11=77']
Exploring Operation: 77-49=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
96,
18,
72,
28
] | 24 | [
"96+72=168",
"168/28=6",
"18+6=24"
] | Current State: 24:[96, 18, 72, 28], Operations: []
Exploring Operation: 96+72=168, Resulting Numbers: [18, 28, 168]
Generated Node #2: [18, 28, 168] from Operation: 96+72=168
Current State: 24:[18, 28, 168], Operations: ['96+72=168']
Exploring Operation: 168/28=6, Resulting Numbers: [18, 6]
Generated Node #3: [18, 6] from Operation: 168/28=6
Current State: 24:[18, 6], Operations: ['96+72=168', '168/28=6']
Exploring Operation: 18+6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
42,
6,
7,
87
] | 86 | [
"42/6=7",
"7/7=1",
"87-1=86"
] | Current State: 86:[42, 6, 7, 87], Operations: []
Exploring Operation: 42/6=7, Resulting Numbers: [7, 87, 7]
Generated Node #2: [7, 87, 7] from Operation: 42/6=7
Current State: 86:[7, 87, 7], Operations: ['42/6=7']
Exploring Operation: 7/7=1, Resulting Numbers: [87, 1]
Generated Node #3: [87, 1] from Operation: 7/7=1
Current State: 86:[87, 1], Operations: ['42/6=7', '7/7=1']
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
39,
77,
91,
61
] | 68 | [
"77-39=38",
"91-61=30",
"38+30=68"
] | Current State: 68:[39, 77, 91, 61], Operations: []
Exploring Operation: 77-39=38, Resulting Numbers: [91, 61, 38]
Generated Node #2: [91, 61, 38] from Operation: 77-39=38
Current State: 68:[91, 61, 38], Operations: ['77-39=38']
Exploring Operation: 91-61=30, Resulting Numbers: [38, 30]
Generated Node #3: [38, 30] from Operation: 91-61=30
Current State: 68:[38, 30], Operations: ['77-39=38', '91-61=30']
Exploring Operation: 38+30=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
16,
32,
25,
17
] | 90 | [
"16+32=48",
"25+17=42",
"48+42=90"
] | Current State: 90:[16, 32, 25, 17], Operations: []
Exploring Operation: 16+32=48, Resulting Numbers: [25, 17, 48]
Generated Node #2: [25, 17, 48] from Operation: 16+32=48
Current State: 90:[25, 17, 48], Operations: ['16+32=48']
Exploring Operation: 25+17=42, Resulting Numbers: [48, 42]
Generated Node #3: [48, 42] from Operation: 25+17=42
Current State: 90:[48, 42], Operations: ['16+32=48', '25+17=42']
Exploring Operation: 48+42=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
39,
38,
87,
54
] | 44 | [
"39+38=77",
"87-54=33",
"77-33=44"
] | Current State: 44:[39, 38, 87, 54], Operations: []
Exploring Operation: 39+38=77, Resulting Numbers: [87, 54, 77]
Generated Node #2: [87, 54, 77] from Operation: 39+38=77
Current State: 44:[87, 54, 77], Operations: ['39+38=77']
Exploring Operation: 87-54=33, Resulting Numbers: [77, 33]
Generated Node #3: [77, 33] from Operation: 87-54=33
Current State: 44:[77, 33], Operations: ['39+38=77', '87-54=33']
Exploring Operation: 77-33=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
75,
18,
6,
42
] | 17 | [
"75*6=450",
"450/18=25",
"42-25=17"
] | Current State: 17:[75, 18, 6, 42], Operations: []
Exploring Operation: 75*6=450, Resulting Numbers: [18, 42, 450]
Generated Node #2: [18, 42, 450] from Operation: 75*6=450
Current State: 17:[18, 42, 450], Operations: ['75*6=450']
Exploring Operation: 450/18=25, Resulting Numbers: [42, 25]
Generated Node #3: [42, 25] from Operation: 450/18=25
Current State: 17:[42, 25], Operations: ['75*6=450', '450/18=25']
Exploring Operation: 42-25=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
21,
9,
9,
34
] | 31 | [
"21-9=12",
"9+34=43",
"43-12=31"
] | Current State: 31:[21, 9, 9, 34], Operations: []
Exploring Operation: 21-9=12, Resulting Numbers: [34, 12]
Generated Node #2: [34, 12] from Operation: 21-9=12
Current State: 31:[34, 12], Operations: ['21-9=12']
Exploring Operation: 9+34=43, Resulting Numbers: [12, 43]
Generated Node #3: [12, 43] from Operation: 9+34=43
Current State: 31:[12, 43], Operations: ['21-9=12', '9+34=43']
Exploring Operation: 43-12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
24,
3,
30,
65
] | 93 | [
"65-24=41",
"3*41=123",
"123-30=93"
] | Current State: 93:[24, 3, 30, 65], Operations: []
Exploring Operation: 65-24=41, Resulting Numbers: [3, 30, 41]
Generated Node #2: [3, 30, 41] from Operation: 65-24=41
Current State: 93:[3, 30, 41], Operations: ['65-24=41']
Exploring Operation: 3*41=123, Resulting Numbers: [30, 123]
Generated Node #3: [30, 123] from Operation: 3*41=123
Current State: 93:[30, 123], Operations: ['65-24=41', '3*41=123']
Exploring Operation: 123-30=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
5,
14,
23,
18
] | 10 | [
"5*18=90",
"23-14=9",
"90/9=10"
] | Current State: 10:[5, 14, 23, 18], Operations: []
Exploring Operation: 5*18=90, Resulting Numbers: [14, 23, 90]
Generated Node #2: [14, 23, 90] from Operation: 5*18=90
Current State: 10:[14, 23, 90], Operations: ['5*18=90']
Exploring Operation: 23-14=9, Resulting Numbers: [90, 9]
Generated Node #3: [90, 9] from Operation: 23-14=9
Current State: 10:[90, 9], Operations: ['5*18=90', '23-14=9']
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
39,
14,
75,
30
] | 80 | [
"39-14=25",
"75+30=105",
"105-25=80"
] | Current State: 80:[39, 14, 75, 30], Operations: []
Exploring Operation: 39-14=25, Resulting Numbers: [75, 30, 25]
Generated Node #2: [75, 30, 25] from Operation: 39-14=25
Current State: 80:[75, 30, 25], Operations: ['39-14=25']
Exploring Operation: 75+30=105, Resulting Numbers: [25, 105]
Generated Node #3: [25, 105] from Operation: 75+30=105
Current State: 80:[25, 105], Operations: ['39-14=25', '75+30=105']
Exploring Operation: 105-25=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
69,
3,
16,
23
] | 73 | [
"69-3=66",
"23-16=7",
"66+7=73"
] | Current State: 73:[69, 3, 16, 23], Operations: []
Exploring Operation: 69-3=66, Resulting Numbers: [16, 23, 66]
Generated Node #2: [16, 23, 66] from Operation: 69-3=66
Current State: 73:[16, 23, 66], Operations: ['69-3=66']
Exploring Operation: 23-16=7, Resulting Numbers: [66, 7]
Generated Node #3: [66, 7] from Operation: 23-16=7
Current State: 73:[66, 7], Operations: ['69-3=66', '23-16=7']
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
10,
39,
9,
3
] | 14 | [
"10-9=1",
"39/3=13",
"1+13=14"
] | Current State: 14:[10, 39, 9, 3], Operations: []
Exploring Operation: 10-9=1, Resulting Numbers: [39, 3, 1]
Generated Node #2: [39, 3, 1] from Operation: 10-9=1
Current State: 14:[39, 3, 1], Operations: ['10-9=1']
Exploring Operation: 39/3=13, Resulting Numbers: [1, 13]
Generated Node #3: [1, 13] from Operation: 39/3=13
Current State: 14:[1, 13], Operations: ['10-9=1', '39/3=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
81,
18,
93,
91
] | 90 | [
"93-91=2",
"18/2=9",
"81+9=90"
] | Current State: 90:[81, 18, 93, 91], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [81, 18, 2]
Generated Node #2: [81, 18, 2] from Operation: 93-91=2
Current State: 90:[81, 18, 2], Operations: ['93-91=2']
Exploring Operation: 18/2=9, Resulting Numbers: [81, 9]
Generated Node #3: [81, 9] from Operation: 18/2=9
Current State: 90:[81, 9], Operations: ['93-91=2', '18/2=9']
Exploring Operation: 81+9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
47,
85,
76,
82
] | 80 | [
"85-47=38",
"76/38=2",
"82-2=80"
] | Current State: 80:[47, 85, 76, 82], Operations: []
Exploring Operation: 85-47=38, Resulting Numbers: [76, 82, 38]
Generated Node #2: [76, 82, 38] from Operation: 85-47=38
Current State: 80:[76, 82, 38], Operations: ['85-47=38']
Exploring Operation: 76/38=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 76/38=2
Current State: 80:[82, 2], Operations: ['85-47=38', '76/38=2']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
55,
92,
66,
33
] | 62 | [
"92-55=37",
"66+33=99",
"99-37=62"
] | Current State: 62:[55, 92, 66, 33], Operations: []
Exploring Operation: 92-55=37, Resulting Numbers: [66, 33, 37]
Generated Node #2: [66, 33, 37] from Operation: 92-55=37
Current State: 62:[66, 33, 37], Operations: ['92-55=37']
Exploring Operation: 66+33=99, Resulting Numbers: [37, 99]
Generated Node #3: [37, 99] from Operation: 66+33=99
Current State: 62:[37, 99], Operations: ['92-55=37', '66+33=99']
Exploring Operation: 99-37=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
21,
72,
84,
97
] | 88 | [
"21+72=93",
"84+97=181",
"181-93=88"
] | Current State: 88:[21, 72, 84, 97], Operations: []
Exploring Operation: 21+72=93, Resulting Numbers: [84, 97, 93]
Generated Node #2: [84, 97, 93] from Operation: 21+72=93
Current State: 88:[84, 97, 93], Operations: ['21+72=93']
Exploring Operation: 84+97=181, Resulting Numbers: [93, 181]
Generated Node #3: [93, 181] from Operation: 84+97=181
Current State: 88:[93, 181], Operations: ['21+72=93', '84+97=181']
Exploring Operation: 181-93=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
59,
53,
61,
86
] | 19 | [
"59-53=6",
"86-61=25",
"25-6=19"
] | Current State: 19:[59, 53, 61, 86], Operations: []
Exploring Operation: 59-53=6, Resulting Numbers: [61, 86, 6]
Generated Node #2: [61, 86, 6] from Operation: 59-53=6
Current State: 19:[61, 86, 6], Operations: ['59-53=6']
Exploring Operation: 86-61=25, Resulting Numbers: [6, 25]
Generated Node #3: [6, 25] from Operation: 86-61=25
Current State: 19:[6, 25], Operations: ['59-53=6', '86-61=25']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
7,
86,
79,
86
] | 79 | [
"86-86=0",
"7*0=0",
"79+0=79"
] | Current State: 79:[7, 86, 79, 86], Operations: []
Exploring Operation: 86-86=0, Resulting Numbers: [7, 79, 0]
Generated Node #2: [7, 79, 0] from Operation: 86-86=0
Current State: 79:[7, 79, 0], Operations: ['86-86=0']
Exploring Operation: 7*0=0, Resulting Numbers: [79, 0]
Generated Node #3: [79, 0] from Operation: 7*0=0
Current State: 79:[79, 0], Operations: ['86-86=0', '7*0=0']
Exploring Operation: 79+0=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
7,
84,
84,
33
] | 57 | [
"84+84=168",
"168/7=24",
"33+24=57"
] | Current State: 57:[7, 84, 84, 33], Operations: []
Exploring Operation: 84+84=168, Resulting Numbers: [7, 33, 168]
Generated Node #2: [7, 33, 168] from Operation: 84+84=168
Current State: 57:[7, 33, 168], Operations: ['84+84=168']
Exploring Operation: 168/7=24, Resulting Numbers: [33, 24]
Generated Node #3: [33, 24] from Operation: 168/7=24
Current State: 57:[33, 24], Operations: ['84+84=168', '168/7=24']
Exploring Operation: 33+24=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
2,
5,
47,
95
] | 55 | [
"2+5=7",
"95-47=48",
"7+48=55"
] | Current State: 55:[2, 5, 47, 95], Operations: []
Exploring Operation: 2+5=7, Resulting Numbers: [47, 95, 7]
Generated Node #2: [47, 95, 7] from Operation: 2+5=7
Current State: 55:[47, 95, 7], Operations: ['2+5=7']
Exploring Operation: 95-47=48, Resulting Numbers: [7, 48]
Generated Node #3: [7, 48] from Operation: 95-47=48
Current State: 55:[7, 48], Operations: ['2+5=7', '95-47=48']
Exploring Operation: 7+48=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
64,
20,
36,
99
] | 95 | [
"36-20=16",
"64/16=4",
"99-4=95"
] | Current State: 95:[64, 20, 36, 99], Operations: []
Exploring Operation: 36-20=16, Resulting Numbers: [64, 99, 16]
Generated Node #2: [64, 99, 16] from Operation: 36-20=16
Current State: 95:[64, 99, 16], Operations: ['36-20=16']
Exploring Operation: 64/16=4, Resulting Numbers: [99, 4]
Generated Node #3: [99, 4] from Operation: 64/16=4
Current State: 95:[99, 4], Operations: ['36-20=16', '64/16=4']
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
70,
23,
8,
20
] | 67 | [
"70+23=93",
"8*20=160",
"160-93=67"
] | Current State: 67:[70, 23, 8, 20], Operations: []
Exploring Operation: 70+23=93, Resulting Numbers: [8, 20, 93]
Generated Node #2: [8, 20, 93] from Operation: 70+23=93
Current State: 67:[8, 20, 93], Operations: ['70+23=93']
Exploring Operation: 8*20=160, Resulting Numbers: [93, 160]
Generated Node #3: [93, 160] from Operation: 8*20=160
Current State: 67:[93, 160], Operations: ['70+23=93', '8*20=160']
Exploring Operation: 160-93=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
96,
6,
5,
33
] | 12 | [
"96/6=16",
"33-5=28",
"28-16=12"
] | Current State: 12:[96, 6, 5, 33], Operations: []
Exploring Operation: 96/6=16, Resulting Numbers: [5, 33, 16]
Generated Node #2: [5, 33, 16] from Operation: 96/6=16
Current State: 12:[5, 33, 16], Operations: ['96/6=16']
Exploring Operation: 33-5=28, Resulting Numbers: [16, 28]
Generated Node #3: [16, 28] from Operation: 33-5=28
Current State: 12:[16, 28], Operations: ['96/6=16', '33-5=28']
Exploring Operation: 28-16=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
2,
58,
28,
38
] | 76 | [
"58-2=56",
"56/28=2",
"38*2=76"
] | Current State: 76:[2, 58, 28, 38], Operations: []
Exploring Operation: 58-2=56, Resulting Numbers: [28, 38, 56]
Generated Node #2: [28, 38, 56] from Operation: 58-2=56
Current State: 76:[28, 38, 56], Operations: ['58-2=56']
Exploring Operation: 56/28=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 56/28=2
Current State: 76:[38, 2], Operations: ['58-2=56', '56/28=2']
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
4,
66,
28,
6
] | 16 | [
"4*66=264",
"264/6=44",
"44-28=16"
] | Current State: 16:[4, 66, 28, 6], Operations: []
Exploring Operation: 4*66=264, Resulting Numbers: [28, 6, 264]
Generated Node #2: [28, 6, 264] from Operation: 4*66=264
Current State: 16:[28, 6, 264], Operations: ['4*66=264']
Exploring Operation: 264/6=44, Resulting Numbers: [28, 44]
Generated Node #3: [28, 44] from Operation: 264/6=44
Current State: 16:[28, 44], Operations: ['4*66=264', '264/6=44']
Exploring Operation: 44-28=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
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