nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
43,
22,
5,
69
] | 95 | [
"43-22=21",
"5+69=74",
"21+74=95"
] | Current State: 95:[43, 22, 5, 69], Operations: []
Exploring Operation: 43-22=21, Resulting Numbers: [5, 69, 21]
Generated Node #2: [5, 69, 21] from Operation: 43-22=21
Current State: 95:[5, 69, 21], Operations: ['43-22=21']
Exploring Operation: 5+69=74, Resulting Numbers: [21, 74]
Generated Node #3: [21, 74] from Operation: 5+69=74
Current State: 95:[21, 74], Operations: ['43-22=21', '5+69=74']
Exploring Operation: 21+74=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
74,
3,
66,
22
] | 98 | [
"74+22=96",
"96/3=32",
"66+32=98"
] | Current State: 98:[74, 3, 66, 22], Operations: []
Exploring Operation: 74+22=96, Resulting Numbers: [3, 66, 96]
Generated Node #2: [3, 66, 96] from Operation: 74+22=96
Current State: 98:[3, 66, 96], Operations: ['74+22=96']
Exploring Operation: 96/3=32, Resulting Numbers: [66, 32]
Generated Node #3: [66, 32] from Operation: 96/3=32
Current State: 98:[66, 32], Operations: ['74+22=96', '96/3=32']
Exploring Operation: 66+32=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
13,
13,
83,
17
] | 24 | [
"13+83=96",
"17-13=4",
"96/4=24"
] | Current State: 24:[13, 13, 83, 17], Operations: []
Exploring Operation: 13+83=96, Resulting Numbers: [17, 96]
Generated Node #2: [17, 96] from Operation: 13+83=96
Current State: 24:[17, 96], Operations: ['13+83=96']
Exploring Operation: 17-13=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 17-13=4
Current State: 24:[96, 4], Operations: ['13+83=96', '17-13=4']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
89,
13,
11,
7
] | 72 | [
"89-13=76",
"11-7=4",
"76-4=72"
] | Current State: 72:[89, 13, 11, 7], Operations: []
Exploring Operation: 89-13=76, Resulting Numbers: [11, 7, 76]
Generated Node #2: [11, 7, 76] from Operation: 89-13=76
Current State: 72:[11, 7, 76], Operations: ['89-13=76']
Exploring Operation: 11-7=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 11-7=4
Current State: 72:[76, 4], Operations: ['89-13=76', '11-7=4']
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
2,
29,
71,
33
] | 80 | [
"2*71=142",
"29+33=62",
"142-62=80"
] | Current State: 80:[2, 29, 71, 33], Operations: []
Exploring Operation: 2*71=142, Resulting Numbers: [29, 33, 142]
Generated Node #2: [29, 33, 142] from Operation: 2*71=142
Current State: 80:[29, 33, 142], Operations: ['2*71=142']
Exploring Operation: 29+33=62, Resulting Numbers: [142, 62]
Generated Node #3: [142, 62] from Operation: 29+33=62
Current State: 80:[142, 62], Operations: ['2*71=142', '29+33=62']
Exploring Operation: 142-62=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
4,
50,
37,
14
] | 38 | [
"50-37=13",
"4*13=52",
"52-14=38"
] | Current State: 38:[4, 50, 37, 14], Operations: []
Exploring Operation: 50-37=13, Resulting Numbers: [4, 14, 13]
Generated Node #2: [4, 14, 13] from Operation: 50-37=13
Current State: 38:[4, 14, 13], Operations: ['50-37=13']
Exploring Operation: 4*13=52, Resulting Numbers: [14, 52]
Generated Node #3: [14, 52] from Operation: 4*13=52
Current State: 38:[14, 52], Operations: ['50-37=13', '4*13=52']
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
70,
30,
42,
78
] | 100 | [
"70*78=5460",
"5460/42=130",
"130-30=100"
] | Current State: 100:[70, 30, 42, 78], Operations: []
Exploring Operation: 70*78=5460, Resulting Numbers: [30, 42, 5460]
Generated Node #2: [30, 42, 5460] from Operation: 70*78=5460
Current State: 100:[30, 42, 5460], Operations: ['70*78=5460']
Exploring Operation: 5460/42=130, Resulting Numbers: [30, 130]
Generated Node #3: [30, 130] from Operation: 5460/42=130
Current State: 100:[30, 130], Operations: ['70*78=5460', '5460/42=130']
Exploring Operation: 130-30=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
29,
7,
38,
16
] | 91 | [
"38*16=608",
"29+608=637",
"637/7=91"
] | Current State: 91:[29, 7, 38, 16], Operations: []
Exploring Operation: 38*16=608, Resulting Numbers: [29, 7, 608]
Generated Node #2: [29, 7, 608] from Operation: 38*16=608
Current State: 91:[29, 7, 608], Operations: ['38*16=608']
Exploring Operation: 29+608=637, Resulting Numbers: [7, 637]
Generated Node #3: [7, 637] from Operation: 29+608=637
Current State: 91:[7, 637], Operations: ['38*16=608', '29+608=637']
Exploring Operation: 637/7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
19,
21,
80,
83
] | 26 | [
"83-80=3",
"21/3=7",
"19+7=26"
] | Current State: 26:[19, 21, 80, 83], Operations: []
Exploring Operation: 83-80=3, Resulting Numbers: [19, 21, 3]
Generated Node #2: [19, 21, 3] from Operation: 83-80=3
Current State: 26:[19, 21, 3], Operations: ['83-80=3']
Exploring Operation: 21/3=7, Resulting Numbers: [19, 7]
Generated Node #3: [19, 7] from Operation: 21/3=7
Current State: 26:[19, 7], Operations: ['83-80=3', '21/3=7']
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
10,
98,
3,
32
] | 32 | [
"32-10=22",
"3*22=66",
"98-66=32"
] | Current State: 32:[10, 98, 3, 32], Operations: []
Exploring Operation: 32-10=22, Resulting Numbers: [98, 3, 22]
Generated Node #2: [98, 3, 22] from Operation: 32-10=22
Current State: 32:[98, 3, 22], Operations: ['32-10=22']
Exploring Operation: 3*22=66, Resulting Numbers: [98, 66]
Generated Node #3: [98, 66] from Operation: 3*22=66
Current State: 32:[98, 66], Operations: ['32-10=22', '3*22=66']
Exploring Operation: 98-66=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
77,
58,
90,
13
] | 84 | [
"77-58=19",
"90+13=103",
"103-19=84"
] | Current State: 84:[77, 58, 90, 13], Operations: []
Exploring Operation: 77-58=19, Resulting Numbers: [90, 13, 19]
Generated Node #2: [90, 13, 19] from Operation: 77-58=19
Current State: 84:[90, 13, 19], Operations: ['77-58=19']
Exploring Operation: 90+13=103, Resulting Numbers: [19, 103]
Generated Node #3: [19, 103] from Operation: 90+13=103
Current State: 84:[19, 103], Operations: ['77-58=19', '90+13=103']
Exploring Operation: 103-19=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
22,
5,
35,
77
] | 24 | [
"77-22=55",
"55/5=11",
"35-11=24"
] | Current State: 24:[22, 5, 35, 77], Operations: []
Exploring Operation: 77-22=55, Resulting Numbers: [5, 35, 55]
Generated Node #2: [5, 35, 55] from Operation: 77-22=55
Current State: 24:[5, 35, 55], Operations: ['77-22=55']
Exploring Operation: 55/5=11, Resulting Numbers: [35, 11]
Generated Node #3: [35, 11] from Operation: 55/5=11
Current State: 24:[35, 11], Operations: ['77-22=55', '55/5=11']
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
23,
29,
86,
12
] | 84 | [
"29-23=6",
"12/6=2",
"86-2=84"
] | Current State: 84:[23, 29, 86, 12], Operations: []
Exploring Operation: 29-23=6, Resulting Numbers: [86, 12, 6]
Generated Node #2: [86, 12, 6] from Operation: 29-23=6
Current State: 84:[86, 12, 6], Operations: ['29-23=6']
Exploring Operation: 12/6=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 12/6=2
Current State: 84:[86, 2], Operations: ['29-23=6', '12/6=2']
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
81,
17,
27,
34
] | 54 | [
"81+27=108",
"34/17=2",
"108/2=54"
] | Current State: 54:[81, 17, 27, 34], Operations: []
Exploring Operation: 81+27=108, Resulting Numbers: [17, 34, 108]
Generated Node #2: [17, 34, 108] from Operation: 81+27=108
Current State: 54:[17, 34, 108], Operations: ['81+27=108']
Exploring Operation: 34/17=2, Resulting Numbers: [108, 2]
Generated Node #3: [108, 2] from Operation: 34/17=2
Current State: 54:[108, 2], Operations: ['81+27=108', '34/17=2']
Exploring Operation: 108/2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
54,
26,
6,
74
] | 28 | [
"54+74=128",
"26*6=156",
"156-128=28"
] | Current State: 28:[54, 26, 6, 74], Operations: []
Exploring Operation: 54+74=128, Resulting Numbers: [26, 6, 128]
Generated Node #2: [26, 6, 128] from Operation: 54+74=128
Current State: 28:[26, 6, 128], Operations: ['54+74=128']
Exploring Operation: 26*6=156, Resulting Numbers: [128, 156]
Generated Node #3: [128, 156] from Operation: 26*6=156
Current State: 28:[128, 156], Operations: ['54+74=128', '26*6=156']
Exploring Operation: 156-128=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
70,
6,
23,
3
] | 49 | [
"70-23=47",
"6/3=2",
"47+2=49"
] | Current State: 49:[70, 6, 23, 3], Operations: []
Exploring Operation: 70-23=47, Resulting Numbers: [6, 3, 47]
Generated Node #2: [6, 3, 47] from Operation: 70-23=47
Current State: 49:[6, 3, 47], Operations: ['70-23=47']
Exploring Operation: 6/3=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 6/3=2
Current State: 49:[47, 2], Operations: ['70-23=47', '6/3=2']
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
59,
19,
37,
74
] | 71 | [
"59-19=40",
"37+74=111",
"111-40=71"
] | Current State: 71:[59, 19, 37, 74], Operations: []
Exploring Operation: 59-19=40, Resulting Numbers: [37, 74, 40]
Generated Node #2: [37, 74, 40] from Operation: 59-19=40
Current State: 71:[37, 74, 40], Operations: ['59-19=40']
Exploring Operation: 37+74=111, Resulting Numbers: [40, 111]
Generated Node #3: [40, 111] from Operation: 37+74=111
Current State: 71:[40, 111], Operations: ['59-19=40', '37+74=111']
Exploring Operation: 111-40=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
75,
82,
63,
19
] | 28 | [
"82-75=7",
"63/7=9",
"19+9=28"
] | Current State: 28:[75, 82, 63, 19], Operations: []
Exploring Operation: 82-75=7, Resulting Numbers: [63, 19, 7]
Generated Node #2: [63, 19, 7] from Operation: 82-75=7
Current State: 28:[63, 19, 7], Operations: ['82-75=7']
Exploring Operation: 63/7=9, Resulting Numbers: [19, 9]
Generated Node #3: [19, 9] from Operation: 63/7=9
Current State: 28:[19, 9], Operations: ['82-75=7', '63/7=9']
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
38,
27,
8,
49
] | 68 | [
"38-27=11",
"8+49=57",
"11+57=68"
] | Current State: 68:[38, 27, 8, 49], Operations: []
Exploring Operation: 38-27=11, Resulting Numbers: [8, 49, 11]
Generated Node #2: [8, 49, 11] from Operation: 38-27=11
Current State: 68:[8, 49, 11], Operations: ['38-27=11']
Exploring Operation: 8+49=57, Resulting Numbers: [11, 57]
Generated Node #3: [11, 57] from Operation: 8+49=57
Current State: 68:[11, 57], Operations: ['38-27=11', '8+49=57']
Exploring Operation: 11+57=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
9,
20,
7,
9
] | 28 | [
"9/9=1",
"20+7=27",
"1+27=28"
] | Current State: 28:[9, 20, 7, 9], Operations: []
Exploring Operation: 9/9=1, Resulting Numbers: [20, 7, 1]
Generated Node #2: [20, 7, 1] from Operation: 9/9=1
Current State: 28:[20, 7, 1], Operations: ['9/9=1']
Exploring Operation: 20+7=27, Resulting Numbers: [1, 27]
Generated Node #3: [1, 27] from Operation: 20+7=27
Current State: 28:[1, 27], Operations: ['9/9=1', '20+7=27']
Exploring Operation: 1+27=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
28,
74,
56,
12
] | 34 | [
"28+74=102",
"56+12=68",
"102-68=34"
] | Current State: 34:[28, 74, 56, 12], Operations: []
Exploring Operation: 28+74=102, Resulting Numbers: [56, 12, 102]
Generated Node #2: [56, 12, 102] from Operation: 28+74=102
Current State: 34:[56, 12, 102], Operations: ['28+74=102']
Exploring Operation: 56+12=68, Resulting Numbers: [102, 68]
Generated Node #3: [102, 68] from Operation: 56+12=68
Current State: 34:[102, 68], Operations: ['28+74=102', '56+12=68']
Exploring Operation: 102-68=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
54,
31,
85,
6
] | 18 | [
"54-31=23",
"85+23=108",
"108/6=18"
] | Current State: 18:[54, 31, 85, 6], Operations: []
Exploring Operation: 54-31=23, Resulting Numbers: [85, 6, 23]
Generated Node #2: [85, 6, 23] from Operation: 54-31=23
Current State: 18:[85, 6, 23], Operations: ['54-31=23']
Exploring Operation: 85+23=108, Resulting Numbers: [6, 108]
Generated Node #3: [6, 108] from Operation: 85+23=108
Current State: 18:[6, 108], Operations: ['54-31=23', '85+23=108']
Exploring Operation: 108/6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
5,
48,
86,
91
] | 63 | [
"5*48=240",
"86+91=177",
"240-177=63"
] | Current State: 63:[5, 48, 86, 91], Operations: []
Exploring Operation: 5*48=240, Resulting Numbers: [86, 91, 240]
Generated Node #2: [86, 91, 240] from Operation: 5*48=240
Current State: 63:[86, 91, 240], Operations: ['5*48=240']
Exploring Operation: 86+91=177, Resulting Numbers: [240, 177]
Generated Node #3: [240, 177] from Operation: 86+91=177
Current State: 63:[240, 177], Operations: ['5*48=240', '86+91=177']
Exploring Operation: 240-177=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
22,
59,
27,
3
] | 67 | [
"59-22=37",
"27+3=30",
"37+30=67"
] | Current State: 67:[22, 59, 27, 3], Operations: []
Exploring Operation: 59-22=37, Resulting Numbers: [27, 3, 37]
Generated Node #2: [27, 3, 37] from Operation: 59-22=37
Current State: 67:[27, 3, 37], Operations: ['59-22=37']
Exploring Operation: 27+3=30, Resulting Numbers: [37, 30]
Generated Node #3: [37, 30] from Operation: 27+3=30
Current State: 67:[37, 30], Operations: ['59-22=37', '27+3=30']
Exploring Operation: 37+30=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
83,
50,
29,
6
] | 43 | [
"50-29=21",
"6*21=126",
"126-83=43"
] | Current State: 43:[83, 50, 29, 6], Operations: []
Exploring Operation: 50-29=21, Resulting Numbers: [83, 6, 21]
Generated Node #2: [83, 6, 21] from Operation: 50-29=21
Current State: 43:[83, 6, 21], Operations: ['50-29=21']
Exploring Operation: 6*21=126, Resulting Numbers: [83, 126]
Generated Node #3: [83, 126] from Operation: 6*21=126
Current State: 43:[83, 126], Operations: ['50-29=21', '6*21=126']
Exploring Operation: 126-83=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
86,
11,
41,
34
] | 82 | [
"86-11=75",
"41-34=7",
"75+7=82"
] | Current State: 82:[86, 11, 41, 34], Operations: []
Exploring Operation: 86-11=75, Resulting Numbers: [41, 34, 75]
Generated Node #2: [41, 34, 75] from Operation: 86-11=75
Current State: 82:[41, 34, 75], Operations: ['86-11=75']
Exploring Operation: 41-34=7, Resulting Numbers: [75, 7]
Generated Node #3: [75, 7] from Operation: 41-34=7
Current State: 82:[75, 7], Operations: ['86-11=75', '41-34=7']
Exploring Operation: 75+7=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
58,
96,
7,
78
] | 69 | [
"58+96=154",
"7+78=85",
"154-85=69"
] | Current State: 69:[58, 96, 7, 78], Operations: []
Exploring Operation: 58+96=154, Resulting Numbers: [7, 78, 154]
Generated Node #2: [7, 78, 154] from Operation: 58+96=154
Current State: 69:[7, 78, 154], Operations: ['58+96=154']
Exploring Operation: 7+78=85, Resulting Numbers: [154, 85]
Generated Node #3: [154, 85] from Operation: 7+78=85
Current State: 69:[154, 85], Operations: ['58+96=154', '7+78=85']
Exploring Operation: 154-85=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
98,
39,
36,
81
] | 20 | [
"98+39=137",
"36+81=117",
"137-117=20"
] | Current State: 20:[98, 39, 36, 81], Operations: []
Exploring Operation: 98+39=137, Resulting Numbers: [36, 81, 137]
Generated Node #2: [36, 81, 137] from Operation: 98+39=137
Current State: 20:[36, 81, 137], Operations: ['98+39=137']
Exploring Operation: 36+81=117, Resulting Numbers: [137, 117]
Generated Node #3: [137, 117] from Operation: 36+81=117
Current State: 20:[137, 117], Operations: ['98+39=137', '36+81=117']
Exploring Operation: 137-117=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
96,
81,
39,
79
] | 59 | [
"96+81=177",
"39+79=118",
"177-118=59"
] | Current State: 59:[96, 81, 39, 79], Operations: []
Exploring Operation: 96+81=177, Resulting Numbers: [39, 79, 177]
Generated Node #2: [39, 79, 177] from Operation: 96+81=177
Current State: 59:[39, 79, 177], Operations: ['96+81=177']
Exploring Operation: 39+79=118, Resulting Numbers: [177, 118]
Generated Node #3: [177, 118] from Operation: 39+79=118
Current State: 59:[177, 118], Operations: ['96+81=177', '39+79=118']
Exploring Operation: 177-118=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
69,
70,
46,
13
] | 60 | [
"70-69=1",
"46+13=59",
"1+59=60"
] | Current State: 60:[69, 70, 46, 13], Operations: []
Exploring Operation: 70-69=1, Resulting Numbers: [46, 13, 1]
Generated Node #2: [46, 13, 1] from Operation: 70-69=1
Current State: 60:[46, 13, 1], Operations: ['70-69=1']
Exploring Operation: 46+13=59, Resulting Numbers: [1, 59]
Generated Node #3: [1, 59] from Operation: 46+13=59
Current State: 60:[1, 59], Operations: ['70-69=1', '46+13=59']
Exploring Operation: 1+59=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
40,
38,
47,
6
] | 59 | [
"40-38=2",
"6*2=12",
"47+12=59"
] | Current State: 59:[40, 38, 47, 6], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [47, 6, 2]
Generated Node #2: [47, 6, 2] from Operation: 40-38=2
Current State: 59:[47, 6, 2], Operations: ['40-38=2']
Exploring Operation: 6*2=12, Resulting Numbers: [47, 12]
Generated Node #3: [47, 12] from Operation: 6*2=12
Current State: 59:[47, 12], Operations: ['40-38=2', '6*2=12']
Exploring Operation: 47+12=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
91,
29,
30,
65
] | 26 | [
"91-65=26",
"30-29=1",
"26*1=26"
] | Current State: 26:[91, 29, 30, 65], Operations: []
Exploring Operation: 91-65=26, Resulting Numbers: [29, 30, 26]
Generated Node #2: [29, 30, 26] from Operation: 91-65=26
Current State: 26:[29, 30, 26], Operations: ['91-65=26']
Exploring Operation: 30-29=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 30-29=1
Current State: 26:[26, 1], Operations: ['91-65=26', '30-29=1']
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
23,
19,
21,
28
] | 45 | [
"23-19=4",
"21+28=49",
"49-4=45"
] | Current State: 45:[23, 19, 21, 28], Operations: []
Exploring Operation: 23-19=4, Resulting Numbers: [21, 28, 4]
Generated Node #2: [21, 28, 4] from Operation: 23-19=4
Current State: 45:[21, 28, 4], Operations: ['23-19=4']
Exploring Operation: 21+28=49, Resulting Numbers: [4, 49]
Generated Node #3: [4, 49] from Operation: 21+28=49
Current State: 45:[4, 49], Operations: ['23-19=4', '21+28=49']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
1,
42,
20,
13
] | 48 | [
"42-1=41",
"20-13=7",
"41+7=48"
] | Current State: 48:[1, 42, 20, 13], Operations: []
Exploring Operation: 42-1=41, Resulting Numbers: [20, 13, 41]
Generated Node #2: [20, 13, 41] from Operation: 42-1=41
Current State: 48:[20, 13, 41], Operations: ['42-1=41']
Exploring Operation: 20-13=7, Resulting Numbers: [41, 7]
Generated Node #3: [41, 7] from Operation: 20-13=7
Current State: 48:[41, 7], Operations: ['42-1=41', '20-13=7']
Exploring Operation: 41+7=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
36,
88,
37,
53
] | 35 | [
"37-36=1",
"88-53=35",
"1*35=35"
] | Current State: 35:[36, 88, 37, 53], Operations: []
Exploring Operation: 37-36=1, Resulting Numbers: [88, 53, 1]
Generated Node #2: [88, 53, 1] from Operation: 37-36=1
Current State: 35:[88, 53, 1], Operations: ['37-36=1']
Exploring Operation: 88-53=35, Resulting Numbers: [1, 35]
Generated Node #3: [1, 35] from Operation: 88-53=35
Current State: 35:[1, 35], Operations: ['37-36=1', '88-53=35']
Exploring Operation: 1*35=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
17,
55,
79,
28
] | 84 | [
"28-17=11",
"55/11=5",
"79+5=84"
] | Current State: 84:[17, 55, 79, 28], Operations: []
Exploring Operation: 28-17=11, Resulting Numbers: [55, 79, 11]
Generated Node #2: [55, 79, 11] from Operation: 28-17=11
Current State: 84:[55, 79, 11], Operations: ['28-17=11']
Exploring Operation: 55/11=5, Resulting Numbers: [79, 5]
Generated Node #3: [79, 5] from Operation: 55/11=5
Current State: 84:[79, 5], Operations: ['28-17=11', '55/11=5']
Exploring Operation: 79+5=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
47,
28,
43,
7
] | 31 | [
"47-28=19",
"43+7=50",
"50-19=31"
] | Current State: 31:[47, 28, 43, 7], Operations: []
Exploring Operation: 47-28=19, Resulting Numbers: [43, 7, 19]
Generated Node #2: [43, 7, 19] from Operation: 47-28=19
Current State: 31:[43, 7, 19], Operations: ['47-28=19']
Exploring Operation: 43+7=50, Resulting Numbers: [19, 50]
Generated Node #3: [19, 50] from Operation: 43+7=50
Current State: 31:[19, 50], Operations: ['47-28=19', '43+7=50']
Exploring Operation: 50-19=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
7,
62,
25,
56
] | 95 | [
"56/7=8",
"62+25=87",
"8+87=95"
] | Current State: 95:[7, 62, 25, 56], Operations: []
Exploring Operation: 56/7=8, Resulting Numbers: [62, 25, 8]
Generated Node #2: [62, 25, 8] from Operation: 56/7=8
Current State: 95:[62, 25, 8], Operations: ['56/7=8']
Exploring Operation: 62+25=87, Resulting Numbers: [8, 87]
Generated Node #3: [8, 87] from Operation: 62+25=87
Current State: 95:[8, 87], Operations: ['56/7=8', '62+25=87']
Exploring Operation: 8+87=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
33,
44,
53,
71
] | 59 | [
"33+44=77",
"71-53=18",
"77-18=59"
] | Current State: 59:[33, 44, 53, 71], Operations: []
Exploring Operation: 33+44=77, Resulting Numbers: [53, 71, 77]
Generated Node #2: [53, 71, 77] from Operation: 33+44=77
Current State: 59:[53, 71, 77], Operations: ['33+44=77']
Exploring Operation: 71-53=18, Resulting Numbers: [77, 18]
Generated Node #3: [77, 18] from Operation: 71-53=18
Current State: 59:[77, 18], Operations: ['33+44=77', '71-53=18']
Exploring Operation: 77-18=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
49,
10,
75,
62
] | 12 | [
"49+75=124",
"124/62=2",
"10+2=12"
] | Current State: 12:[49, 10, 75, 62], Operations: []
Exploring Operation: 49+75=124, Resulting Numbers: [10, 62, 124]
Generated Node #2: [10, 62, 124] from Operation: 49+75=124
Current State: 12:[10, 62, 124], Operations: ['49+75=124']
Exploring Operation: 124/62=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 124/62=2
Current State: 12:[10, 2], Operations: ['49+75=124', '124/62=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
32,
1,
37,
13
] | 52 | [
"32+1=33",
"37-33=4",
"13*4=52"
] | Current State: 52:[32, 1, 37, 13], Operations: []
Exploring Operation: 32+1=33, Resulting Numbers: [37, 13, 33]
Generated Node #2: [37, 13, 33] from Operation: 32+1=33
Current State: 52:[37, 13, 33], Operations: ['32+1=33']
Exploring Operation: 37-33=4, Resulting Numbers: [13, 4]
Generated Node #3: [13, 4] from Operation: 37-33=4
Current State: 52:[13, 4], Operations: ['32+1=33', '37-33=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
85,
49,
1,
45
] | 21 | [
"85-1=84",
"49-45=4",
"84/4=21"
] | Current State: 21:[85, 49, 1, 45], Operations: []
Exploring Operation: 85-1=84, Resulting Numbers: [49, 45, 84]
Generated Node #2: [49, 45, 84] from Operation: 85-1=84
Current State: 21:[49, 45, 84], Operations: ['85-1=84']
Exploring Operation: 49-45=4, Resulting Numbers: [84, 4]
Generated Node #3: [84, 4] from Operation: 49-45=4
Current State: 21:[84, 4], Operations: ['85-1=84', '49-45=4']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
13,
68,
17,
84
] | 38 | [
"17-13=4",
"68+84=152",
"152/4=38"
] | Current State: 38:[13, 68, 17, 84], Operations: []
Exploring Operation: 17-13=4, Resulting Numbers: [68, 84, 4]
Generated Node #2: [68, 84, 4] from Operation: 17-13=4
Current State: 38:[68, 84, 4], Operations: ['17-13=4']
Exploring Operation: 68+84=152, Resulting Numbers: [4, 152]
Generated Node #3: [4, 152] from Operation: 68+84=152
Current State: 38:[4, 152], Operations: ['17-13=4', '68+84=152']
Exploring Operation: 152/4=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
2,
82,
18,
54
] | 10 | [
"54-18=36",
"2*36=72",
"82-72=10"
] | Current State: 10:[2, 82, 18, 54], Operations: []
Exploring Operation: 54-18=36, Resulting Numbers: [2, 82, 36]
Generated Node #2: [2, 82, 36] from Operation: 54-18=36
Current State: 10:[2, 82, 36], Operations: ['54-18=36']
Exploring Operation: 2*36=72, Resulting Numbers: [82, 72]
Generated Node #3: [82, 72] from Operation: 2*36=72
Current State: 10:[82, 72], Operations: ['54-18=36', '2*36=72']
Exploring Operation: 82-72=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
24,
69,
22,
14
] | 62 | [
"24-22=2",
"14/2=7",
"69-7=62"
] | Current State: 62:[24, 69, 22, 14], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [69, 14, 2]
Generated Node #2: [69, 14, 2] from Operation: 24-22=2
Current State: 62:[69, 14, 2], Operations: ['24-22=2']
Exploring Operation: 14/2=7, Resulting Numbers: [69, 7]
Generated Node #3: [69, 7] from Operation: 14/2=7
Current State: 62:[69, 7], Operations: ['24-22=2', '14/2=7']
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
19,
20,
10,
44
] | 82 | [
"19*20=380",
"380/10=38",
"44+38=82"
] | Current State: 82:[19, 20, 10, 44], Operations: []
Exploring Operation: 19*20=380, Resulting Numbers: [10, 44, 380]
Generated Node #2: [10, 44, 380] from Operation: 19*20=380
Current State: 82:[10, 44, 380], Operations: ['19*20=380']
Exploring Operation: 380/10=38, Resulting Numbers: [44, 38]
Generated Node #3: [44, 38] from Operation: 380/10=38
Current State: 82:[44, 38], Operations: ['19*20=380', '380/10=38']
Exploring Operation: 44+38=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
51,
48,
5,
88
] | 11 | [
"51-48=3",
"5+3=8",
"88/8=11"
] | Current State: 11:[51, 48, 5, 88], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [5, 88, 3]
Generated Node #2: [5, 88, 3] from Operation: 51-48=3
Current State: 11:[5, 88, 3], Operations: ['51-48=3']
Exploring Operation: 5+3=8, Resulting Numbers: [88, 8]
Generated Node #3: [88, 8] from Operation: 5+3=8
Current State: 11:[88, 8], Operations: ['51-48=3', '5+3=8']
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
90,
8,
19,
1
] | 40 | [
"90*8=720",
"19-1=18",
"720/18=40"
] | Current State: 40:[90, 8, 19, 1], Operations: []
Exploring Operation: 90*8=720, Resulting Numbers: [19, 1, 720]
Generated Node #2: [19, 1, 720] from Operation: 90*8=720
Current State: 40:[19, 1, 720], Operations: ['90*8=720']
Exploring Operation: 19-1=18, Resulting Numbers: [720, 18]
Generated Node #3: [720, 18] from Operation: 19-1=18
Current State: 40:[720, 18], Operations: ['90*8=720', '19-1=18']
Exploring Operation: 720/18=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
32,
88,
43,
17
] | 25 | [
"43-32=11",
"88/11=8",
"17+8=25"
] | Current State: 25:[32, 88, 43, 17], Operations: []
Exploring Operation: 43-32=11, Resulting Numbers: [88, 17, 11]
Generated Node #2: [88, 17, 11] from Operation: 43-32=11
Current State: 25:[88, 17, 11], Operations: ['43-32=11']
Exploring Operation: 88/11=8, Resulting Numbers: [17, 8]
Generated Node #3: [17, 8] from Operation: 88/11=8
Current State: 25:[17, 8], Operations: ['43-32=11', '88/11=8']
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
62,
95,
96,
5
] | 53 | [
"96-62=34",
"95/5=19",
"34+19=53"
] | Current State: 53:[62, 95, 96, 5], Operations: []
Exploring Operation: 96-62=34, Resulting Numbers: [95, 5, 34]
Generated Node #2: [95, 5, 34] from Operation: 96-62=34
Current State: 53:[95, 5, 34], Operations: ['96-62=34']
Exploring Operation: 95/5=19, Resulting Numbers: [34, 19]
Generated Node #3: [34, 19] from Operation: 95/5=19
Current State: 53:[34, 19], Operations: ['96-62=34', '95/5=19']
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
87,
99,
87,
28
] | 99 | [
"87-87=0",
"28*0=0",
"99+0=99"
] | Current State: 99:[87, 99, 87, 28], Operations: []
Exploring Operation: 87-87=0, Resulting Numbers: [99, 28, 0]
Generated Node #2: [99, 28, 0] from Operation: 87-87=0
Current State: 99:[99, 28, 0], Operations: ['87-87=0']
Exploring Operation: 28*0=0, Resulting Numbers: [99, 0]
Generated Node #3: [99, 0] from Operation: 28*0=0
Current State: 99:[99, 0], Operations: ['87-87=0', '28*0=0']
Exploring Operation: 99+0=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
55,
52,
76,
37
] | 48 | [
"55*52=2860",
"76*37=2812",
"2860-2812=48"
] | Current State: 48:[55, 52, 76, 37], Operations: []
Exploring Operation: 55*52=2860, Resulting Numbers: [76, 37, 2860]
Generated Node #2: [76, 37, 2860] from Operation: 55*52=2860
Current State: 48:[76, 37, 2860], Operations: ['55*52=2860']
Exploring Operation: 76*37=2812, Resulting Numbers: [2860, 2812]
Generated Node #3: [2860, 2812] from Operation: 76*37=2812
Current State: 48:[2860, 2812], Operations: ['55*52=2860', '76*37=2812']
Exploring Operation: 2860-2812=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
62,
48,
59,
21
] | 24 | [
"62-48=14",
"59-21=38",
"38-14=24"
] | Current State: 24:[62, 48, 59, 21], Operations: []
Exploring Operation: 62-48=14, Resulting Numbers: [59, 21, 14]
Generated Node #2: [59, 21, 14] from Operation: 62-48=14
Current State: 24:[59, 21, 14], Operations: ['62-48=14']
Exploring Operation: 59-21=38, Resulting Numbers: [14, 38]
Generated Node #3: [14, 38] from Operation: 59-21=38
Current State: 24:[14, 38], Operations: ['62-48=14', '59-21=38']
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
36,
93,
47,
94
] | 83 | [
"36+47=83",
"94-93=1",
"83*1=83"
] | Current State: 83:[36, 93, 47, 94], Operations: []
Exploring Operation: 36+47=83, Resulting Numbers: [93, 94, 83]
Generated Node #2: [93, 94, 83] from Operation: 36+47=83
Current State: 83:[93, 94, 83], Operations: ['36+47=83']
Exploring Operation: 94-93=1, Resulting Numbers: [83, 1]
Generated Node #3: [83, 1] from Operation: 94-93=1
Current State: 83:[83, 1], Operations: ['36+47=83', '94-93=1']
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
2,
29,
67,
95
] | 10 | [
"2*67=134",
"29+95=124",
"134-124=10"
] | Current State: 10:[2, 29, 67, 95], Operations: []
Exploring Operation: 2*67=134, Resulting Numbers: [29, 95, 134]
Generated Node #2: [29, 95, 134] from Operation: 2*67=134
Current State: 10:[29, 95, 134], Operations: ['2*67=134']
Exploring Operation: 29+95=124, Resulting Numbers: [134, 124]
Generated Node #3: [134, 124] from Operation: 29+95=124
Current State: 10:[134, 124], Operations: ['2*67=134', '29+95=124']
Exploring Operation: 134-124=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
76,
33,
95,
41
] | 19 | [
"76*41=3116",
"33*95=3135",
"3135-3116=19"
] | Current State: 19:[76, 33, 95, 41], Operations: []
Exploring Operation: 76*41=3116, Resulting Numbers: [33, 95, 3116]
Generated Node #2: [33, 95, 3116] from Operation: 76*41=3116
Current State: 19:[33, 95, 3116], Operations: ['76*41=3116']
Exploring Operation: 33*95=3135, Resulting Numbers: [3116, 3135]
Generated Node #3: [3116, 3135] from Operation: 33*95=3135
Current State: 19:[3116, 3135], Operations: ['76*41=3116', '33*95=3135']
Exploring Operation: 3135-3116=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
98,
73,
33,
18
] | 26 | [
"98-73=25",
"33+18=51",
"51-25=26"
] | Current State: 26:[98, 73, 33, 18], Operations: []
Exploring Operation: 98-73=25, Resulting Numbers: [33, 18, 25]
Generated Node #2: [33, 18, 25] from Operation: 98-73=25
Current State: 26:[33, 18, 25], Operations: ['98-73=25']
Exploring Operation: 33+18=51, Resulting Numbers: [25, 51]
Generated Node #3: [25, 51] from Operation: 33+18=51
Current State: 26:[25, 51], Operations: ['98-73=25', '33+18=51']
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
58,
61,
90,
40
] | 53 | [
"61-58=3",
"90-40=50",
"3+50=53"
] | Current State: 53:[58, 61, 90, 40], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [90, 40, 3]
Generated Node #2: [90, 40, 3] from Operation: 61-58=3
Current State: 53:[90, 40, 3], Operations: ['61-58=3']
Exploring Operation: 90-40=50, Resulting Numbers: [3, 50]
Generated Node #3: [3, 50] from Operation: 90-40=50
Current State: 53:[3, 50], Operations: ['61-58=3', '90-40=50']
Exploring Operation: 3+50=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
64,
43,
10,
62
] | 48 | [
"64-62=2",
"10/2=5",
"43+5=48"
] | Current State: 48:[64, 43, 10, 62], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [43, 10, 2]
Generated Node #2: [43, 10, 2] from Operation: 64-62=2
Current State: 48:[43, 10, 2], Operations: ['64-62=2']
Exploring Operation: 10/2=5, Resulting Numbers: [43, 5]
Generated Node #3: [43, 5] from Operation: 10/2=5
Current State: 48:[43, 5], Operations: ['64-62=2', '10/2=5']
Exploring Operation: 43+5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
51,
57,
85,
21
] | 60 | [
"57-21=36",
"85*36=3060",
"3060/51=60"
] | Current State: 60:[51, 57, 85, 21], Operations: []
Exploring Operation: 57-21=36, Resulting Numbers: [51, 85, 36]
Generated Node #2: [51, 85, 36] from Operation: 57-21=36
Current State: 60:[51, 85, 36], Operations: ['57-21=36']
Exploring Operation: 85*36=3060, Resulting Numbers: [51, 3060]
Generated Node #3: [51, 3060] from Operation: 85*36=3060
Current State: 60:[51, 3060], Operations: ['57-21=36', '85*36=3060']
Exploring Operation: 3060/51=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
84,
88,
35,
25
] | 40 | [
"88-84=4",
"35-25=10",
"4*10=40"
] | Current State: 40:[84, 88, 35, 25], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [35, 25, 4]
Generated Node #2: [35, 25, 4] from Operation: 88-84=4
Current State: 40:[35, 25, 4], Operations: ['88-84=4']
Exploring Operation: 35-25=10, Resulting Numbers: [4, 10]
Generated Node #3: [4, 10] from Operation: 35-25=10
Current State: 40:[4, 10], Operations: ['88-84=4', '35-25=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
55,
26,
39,
4
] | 72 | [
"55-26=29",
"39+4=43",
"29+43=72"
] | Current State: 72:[55, 26, 39, 4], Operations: []
Exploring Operation: 55-26=29, Resulting Numbers: [39, 4, 29]
Generated Node #2: [39, 4, 29] from Operation: 55-26=29
Current State: 72:[39, 4, 29], Operations: ['55-26=29']
Exploring Operation: 39+4=43, Resulting Numbers: [29, 43]
Generated Node #3: [29, 43] from Operation: 39+4=43
Current State: 72:[29, 43], Operations: ['55-26=29', '39+4=43']
Exploring Operation: 29+43=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
44,
46,
26,
95
] | 67 | [
"46-44=2",
"95-26=69",
"69-2=67"
] | Current State: 67:[44, 46, 26, 95], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [26, 95, 2]
Generated Node #2: [26, 95, 2] from Operation: 46-44=2
Current State: 67:[26, 95, 2], Operations: ['46-44=2']
Exploring Operation: 95-26=69, Resulting Numbers: [2, 69]
Generated Node #3: [2, 69] from Operation: 95-26=69
Current State: 67:[2, 69], Operations: ['46-44=2', '95-26=69']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
6,
89,
29,
31
] | 23 | [
"89-6=83",
"29+31=60",
"83-60=23"
] | Current State: 23:[6, 89, 29, 31], Operations: []
Exploring Operation: 89-6=83, Resulting Numbers: [29, 31, 83]
Generated Node #2: [29, 31, 83] from Operation: 89-6=83
Current State: 23:[29, 31, 83], Operations: ['89-6=83']
Exploring Operation: 29+31=60, Resulting Numbers: [83, 60]
Generated Node #3: [83, 60] from Operation: 29+31=60
Current State: 23:[83, 60], Operations: ['89-6=83', '29+31=60']
Exploring Operation: 83-60=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
5,
73,
80,
17
] | 92 | [
"5*17=85",
"80-73=7",
"85+7=92"
] | Current State: 92:[5, 73, 80, 17], Operations: []
Exploring Operation: 5*17=85, Resulting Numbers: [73, 80, 85]
Generated Node #2: [73, 80, 85] from Operation: 5*17=85
Current State: 92:[73, 80, 85], Operations: ['5*17=85']
Exploring Operation: 80-73=7, Resulting Numbers: [85, 7]
Generated Node #3: [85, 7] from Operation: 80-73=7
Current State: 92:[85, 7], Operations: ['5*17=85', '80-73=7']
Exploring Operation: 85+7=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
33,
90,
63,
63
] | 90 | [
"63-63=0",
"33*0=0",
"90+0=90"
] | Current State: 90:[33, 90, 63, 63], Operations: []
Exploring Operation: 63-63=0, Resulting Numbers: [33, 90, 0]
Generated Node #2: [33, 90, 0] from Operation: 63-63=0
Current State: 90:[33, 90, 0], Operations: ['63-63=0']
Exploring Operation: 33*0=0, Resulting Numbers: [90, 0]
Generated Node #3: [90, 0] from Operation: 33*0=0
Current State: 90:[90, 0], Operations: ['63-63=0', '33*0=0']
Exploring Operation: 90+0=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
51,
11,
26,
29
] | 43 | [
"51-11=40",
"29-26=3",
"40+3=43"
] | Current State: 43:[51, 11, 26, 29], Operations: []
Exploring Operation: 51-11=40, Resulting Numbers: [26, 29, 40]
Generated Node #2: [26, 29, 40] from Operation: 51-11=40
Current State: 43:[26, 29, 40], Operations: ['51-11=40']
Exploring Operation: 29-26=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 29-26=3
Current State: 43:[40, 3], Operations: ['51-11=40', '29-26=3']
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
82,
66,
6,
9
] | 84 | [
"82-9=73",
"66/6=11",
"73+11=84"
] | Current State: 84:[82, 66, 6, 9], Operations: []
Exploring Operation: 82-9=73, Resulting Numbers: [66, 6, 73]
Generated Node #2: [66, 6, 73] from Operation: 82-9=73
Current State: 84:[66, 6, 73], Operations: ['82-9=73']
Exploring Operation: 66/6=11, Resulting Numbers: [73, 11]
Generated Node #3: [73, 11] from Operation: 66/6=11
Current State: 84:[73, 11], Operations: ['82-9=73', '66/6=11']
Exploring Operation: 73+11=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
32,
21,
26,
74
] | 89 | [
"32-21=11",
"26+74=100",
"100-11=89"
] | Current State: 89:[32, 21, 26, 74], Operations: []
Exploring Operation: 32-21=11, Resulting Numbers: [26, 74, 11]
Generated Node #2: [26, 74, 11] from Operation: 32-21=11
Current State: 89:[26, 74, 11], Operations: ['32-21=11']
Exploring Operation: 26+74=100, Resulting Numbers: [11, 100]
Generated Node #3: [11, 100] from Operation: 26+74=100
Current State: 89:[11, 100], Operations: ['32-21=11', '26+74=100']
Exploring Operation: 100-11=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
97,
7,
5,
55
] | 44 | [
"97+7=104",
"5+55=60",
"104-60=44"
] | Current State: 44:[97, 7, 5, 55], Operations: []
Exploring Operation: 97+7=104, Resulting Numbers: [5, 55, 104]
Generated Node #2: [5, 55, 104] from Operation: 97+7=104
Current State: 44:[5, 55, 104], Operations: ['97+7=104']
Exploring Operation: 5+55=60, Resulting Numbers: [104, 60]
Generated Node #3: [104, 60] from Operation: 5+55=60
Current State: 44:[104, 60], Operations: ['97+7=104', '5+55=60']
Exploring Operation: 104-60=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
86,
24,
26,
3
] | 81 | [
"86+24=110",
"26+3=29",
"110-29=81"
] | Current State: 81:[86, 24, 26, 3], Operations: []
Exploring Operation: 86+24=110, Resulting Numbers: [26, 3, 110]
Generated Node #2: [26, 3, 110] from Operation: 86+24=110
Current State: 81:[26, 3, 110], Operations: ['86+24=110']
Exploring Operation: 26+3=29, Resulting Numbers: [110, 29]
Generated Node #3: [110, 29] from Operation: 26+3=29
Current State: 81:[110, 29], Operations: ['86+24=110', '26+3=29']
Exploring Operation: 110-29=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
70,
1,
70,
72
] | 36 | [
"70/70=1",
"1+1=2",
"72/2=36"
] | Current State: 36:[70, 1, 70, 72], Operations: []
Exploring Operation: 70/70=1, Resulting Numbers: [1, 72, 1]
Generated Node #2: [1, 72, 1] from Operation: 70/70=1
Current State: 36:[1, 72, 1], Operations: ['70/70=1']
Exploring Operation: 1+1=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 1+1=2
Current State: 36:[72, 2], Operations: ['70/70=1', '1+1=2']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
2,
70,
55,
75
] | 55 | [
"70/2=35",
"75-55=20",
"35+20=55"
] | Current State: 55:[2, 70, 55, 75], Operations: []
Exploring Operation: 70/2=35, Resulting Numbers: [55, 75, 35]
Generated Node #2: [55, 75, 35] from Operation: 70/2=35
Current State: 55:[55, 75, 35], Operations: ['70/2=35']
Exploring Operation: 75-55=20, Resulting Numbers: [35, 20]
Generated Node #3: [35, 20] from Operation: 75-55=20
Current State: 55:[35, 20], Operations: ['70/2=35', '75-55=20']
Exploring Operation: 35+20=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
86,
59,
35,
7
] | 69 | [
"86-59=27",
"35+7=42",
"27+42=69"
] | Current State: 69:[86, 59, 35, 7], Operations: []
Exploring Operation: 86-59=27, Resulting Numbers: [35, 7, 27]
Generated Node #2: [35, 7, 27] from Operation: 86-59=27
Current State: 69:[35, 7, 27], Operations: ['86-59=27']
Exploring Operation: 35+7=42, Resulting Numbers: [27, 42]
Generated Node #3: [27, 42] from Operation: 35+7=42
Current State: 69:[27, 42], Operations: ['86-59=27', '35+7=42']
Exploring Operation: 27+42=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
13,
89,
87,
93
] | 70 | [
"89-13=76",
"93-87=6",
"76-6=70"
] | Current State: 70:[13, 89, 87, 93], Operations: []
Exploring Operation: 89-13=76, Resulting Numbers: [87, 93, 76]
Generated Node #2: [87, 93, 76] from Operation: 89-13=76
Current State: 70:[87, 93, 76], Operations: ['89-13=76']
Exploring Operation: 93-87=6, Resulting Numbers: [76, 6]
Generated Node #3: [76, 6] from Operation: 93-87=6
Current State: 70:[76, 6], Operations: ['89-13=76', '93-87=6']
Exploring Operation: 76-6=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
98,
12,
24,
22
] | 78 | [
"98-22=76",
"24/12=2",
"76+2=78"
] | Current State: 78:[98, 12, 24, 22], Operations: []
Exploring Operation: 98-22=76, Resulting Numbers: [12, 24, 76]
Generated Node #2: [12, 24, 76] from Operation: 98-22=76
Current State: 78:[12, 24, 76], Operations: ['98-22=76']
Exploring Operation: 24/12=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 24/12=2
Current State: 78:[76, 2], Operations: ['98-22=76', '24/12=2']
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
63,
78,
4,
85
] | 66 | [
"78-63=15",
"85-4=81",
"81-15=66"
] | Current State: 66:[63, 78, 4, 85], Operations: []
Exploring Operation: 78-63=15, Resulting Numbers: [4, 85, 15]
Generated Node #2: [4, 85, 15] from Operation: 78-63=15
Current State: 66:[4, 85, 15], Operations: ['78-63=15']
Exploring Operation: 85-4=81, Resulting Numbers: [15, 81]
Generated Node #3: [15, 81] from Operation: 85-4=81
Current State: 66:[15, 81], Operations: ['78-63=15', '85-4=81']
Exploring Operation: 81-15=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
4,
17,
8,
62
] | 70 | [
"4+62=66",
"17*8=136",
"136-66=70"
] | Current State: 70:[4, 17, 8, 62], Operations: []
Exploring Operation: 4+62=66, Resulting Numbers: [17, 8, 66]
Generated Node #2: [17, 8, 66] from Operation: 4+62=66
Current State: 70:[17, 8, 66], Operations: ['4+62=66']
Exploring Operation: 17*8=136, Resulting Numbers: [66, 136]
Generated Node #3: [66, 136] from Operation: 17*8=136
Current State: 70:[66, 136], Operations: ['4+62=66', '17*8=136']
Exploring Operation: 136-66=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
79,
69,
82,
8
] | 15 | [
"82-79=3",
"69/3=23",
"23-8=15"
] | Current State: 15:[79, 69, 82, 8], Operations: []
Exploring Operation: 82-79=3, Resulting Numbers: [69, 8, 3]
Generated Node #2: [69, 8, 3] from Operation: 82-79=3
Current State: 15:[69, 8, 3], Operations: ['82-79=3']
Exploring Operation: 69/3=23, Resulting Numbers: [8, 23]
Generated Node #3: [8, 23] from Operation: 69/3=23
Current State: 15:[8, 23], Operations: ['82-79=3', '69/3=23']
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
44,
43,
11,
3
] | 79 | [
"44+43=87",
"11-3=8",
"87-8=79"
] | Current State: 79:[44, 43, 11, 3], Operations: []
Exploring Operation: 44+43=87, Resulting Numbers: [11, 3, 87]
Generated Node #2: [11, 3, 87] from Operation: 44+43=87
Current State: 79:[11, 3, 87], Operations: ['44+43=87']
Exploring Operation: 11-3=8, Resulting Numbers: [87, 8]
Generated Node #3: [87, 8] from Operation: 11-3=8
Current State: 79:[87, 8], Operations: ['44+43=87', '11-3=8']
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
11,
3,
30,
9
] | 66 | [
"30-11=19",
"3*19=57",
"9+57=66"
] | Current State: 66:[11, 3, 30, 9], Operations: []
Exploring Operation: 30-11=19, Resulting Numbers: [3, 9, 19]
Generated Node #2: [3, 9, 19] from Operation: 30-11=19
Current State: 66:[3, 9, 19], Operations: ['30-11=19']
Exploring Operation: 3*19=57, Resulting Numbers: [9, 57]
Generated Node #3: [9, 57] from Operation: 3*19=57
Current State: 66:[9, 57], Operations: ['30-11=19', '3*19=57']
Exploring Operation: 9+57=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
23,
47,
82,
73
] | 61 | [
"23+47=70",
"82-73=9",
"70-9=61"
] | Current State: 61:[23, 47, 82, 73], Operations: []
Exploring Operation: 23+47=70, Resulting Numbers: [82, 73, 70]
Generated Node #2: [82, 73, 70] from Operation: 23+47=70
Current State: 61:[82, 73, 70], Operations: ['23+47=70']
Exploring Operation: 82-73=9, Resulting Numbers: [70, 9]
Generated Node #3: [70, 9] from Operation: 82-73=9
Current State: 61:[70, 9], Operations: ['23+47=70', '82-73=9']
Exploring Operation: 70-9=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
97,
71,
71,
45
] | 45 | [
"71-71=0",
"97*0=0",
"45+0=45"
] | Current State: 45:[97, 71, 71, 45], Operations: []
Exploring Operation: 71-71=0, Resulting Numbers: [97, 45, 0]
Generated Node #2: [97, 45, 0] from Operation: 71-71=0
Current State: 45:[97, 45, 0], Operations: ['71-71=0']
Exploring Operation: 97*0=0, Resulting Numbers: [45, 0]
Generated Node #3: [45, 0] from Operation: 97*0=0
Current State: 45:[45, 0], Operations: ['71-71=0', '97*0=0']
Exploring Operation: 45+0=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
27,
26,
35,
5
] | 18 | [
"35-26=9",
"5*9=45",
"45-27=18"
] | Current State: 18:[27, 26, 35, 5], Operations: []
Exploring Operation: 35-26=9, Resulting Numbers: [27, 5, 9]
Generated Node #2: [27, 5, 9] from Operation: 35-26=9
Current State: 18:[27, 5, 9], Operations: ['35-26=9']
Exploring Operation: 5*9=45, Resulting Numbers: [27, 45]
Generated Node #3: [27, 45] from Operation: 5*9=45
Current State: 18:[27, 45], Operations: ['35-26=9', '5*9=45']
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
8,
84,
65,
9
] | 20 | [
"84-8=76",
"65-9=56",
"76-56=20"
] | Current State: 20:[8, 84, 65, 9], Operations: []
Exploring Operation: 84-8=76, Resulting Numbers: [65, 9, 76]
Generated Node #2: [65, 9, 76] from Operation: 84-8=76
Current State: 20:[65, 9, 76], Operations: ['84-8=76']
Exploring Operation: 65-9=56, Resulting Numbers: [76, 56]
Generated Node #3: [76, 56] from Operation: 65-9=56
Current State: 20:[76, 56], Operations: ['84-8=76', '65-9=56']
Exploring Operation: 76-56=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
56,
56,
9,
86
] | 35 | [
"56+56=112",
"86-9=77",
"112-77=35"
] | Current State: 35:[56, 56, 9, 86], Operations: []
Exploring Operation: 56+56=112, Resulting Numbers: [9, 86, 112]
Generated Node #2: [9, 86, 112] from Operation: 56+56=112
Current State: 35:[9, 86, 112], Operations: ['56+56=112']
Exploring Operation: 86-9=77, Resulting Numbers: [112, 77]
Generated Node #3: [112, 77] from Operation: 86-9=77
Current State: 35:[112, 77], Operations: ['56+56=112', '86-9=77']
Exploring Operation: 112-77=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
95,
61,
70,
58
] | 55 | [
"95+70=165",
"61-58=3",
"165/3=55"
] | Current State: 55:[95, 61, 70, 58], Operations: []
Exploring Operation: 95+70=165, Resulting Numbers: [61, 58, 165]
Generated Node #2: [61, 58, 165] from Operation: 95+70=165
Current State: 55:[61, 58, 165], Operations: ['95+70=165']
Exploring Operation: 61-58=3, Resulting Numbers: [165, 3]
Generated Node #3: [165, 3] from Operation: 61-58=3
Current State: 55:[165, 3], Operations: ['95+70=165', '61-58=3']
Exploring Operation: 165/3=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
7,
88,
9,
16
] | 49 | [
"7+88=95",
"9*16=144",
"144-95=49"
] | Current State: 49:[7, 88, 9, 16], Operations: []
Exploring Operation: 7+88=95, Resulting Numbers: [9, 16, 95]
Generated Node #2: [9, 16, 95] from Operation: 7+88=95
Current State: 49:[9, 16, 95], Operations: ['7+88=95']
Exploring Operation: 9*16=144, Resulting Numbers: [95, 144]
Generated Node #3: [95, 144] from Operation: 9*16=144
Current State: 49:[95, 144], Operations: ['7+88=95', '9*16=144']
Exploring Operation: 144-95=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
18,
50,
5,
75
] | 43 | [
"50+75=125",
"125/5=25",
"18+25=43"
] | Current State: 43:[18, 50, 5, 75], Operations: []
Exploring Operation: 50+75=125, Resulting Numbers: [18, 5, 125]
Generated Node #2: [18, 5, 125] from Operation: 50+75=125
Current State: 43:[18, 5, 125], Operations: ['50+75=125']
Exploring Operation: 125/5=25, Resulting Numbers: [18, 25]
Generated Node #3: [18, 25] from Operation: 125/5=25
Current State: 43:[18, 25], Operations: ['50+75=125', '125/5=25']
Exploring Operation: 18+25=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
55,
74,
52,
40
] | 73 | [
"74-55=19",
"52+40=92",
"92-19=73"
] | Current State: 73:[55, 74, 52, 40], Operations: []
Exploring Operation: 74-55=19, Resulting Numbers: [52, 40, 19]
Generated Node #2: [52, 40, 19] from Operation: 74-55=19
Current State: 73:[52, 40, 19], Operations: ['74-55=19']
Exploring Operation: 52+40=92, Resulting Numbers: [19, 92]
Generated Node #3: [19, 92] from Operation: 52+40=92
Current State: 73:[19, 92], Operations: ['74-55=19', '52+40=92']
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
16,
68,
34,
70
] | 20 | [
"16+68=84",
"34+70=104",
"104-84=20"
] | Current State: 20:[16, 68, 34, 70], Operations: []
Exploring Operation: 16+68=84, Resulting Numbers: [34, 70, 84]
Generated Node #2: [34, 70, 84] from Operation: 16+68=84
Current State: 20:[34, 70, 84], Operations: ['16+68=84']
Exploring Operation: 34+70=104, Resulting Numbers: [84, 104]
Generated Node #3: [84, 104] from Operation: 34+70=104
Current State: 20:[84, 104], Operations: ['16+68=84', '34+70=104']
Exploring Operation: 104-84=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
45,
30,
41,
45
] | 19 | [
"45-30=15",
"45-41=4",
"15+4=19"
] | Current State: 19:[45, 30, 41, 45], Operations: []
Exploring Operation: 45-30=15, Resulting Numbers: [41, 15]
Generated Node #2: [41, 15] from Operation: 45-30=15
Current State: 19:[41, 15], Operations: ['45-30=15']
Exploring Operation: 45-41=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 45-41=4
Current State: 19:[15, 4], Operations: ['45-30=15', '45-41=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
99,
18,
21,
75
] | 33 | [
"99*18=1782",
"75-21=54",
"1782/54=33"
] | Current State: 33:[99, 18, 21, 75], Operations: []
Exploring Operation: 99*18=1782, Resulting Numbers: [21, 75, 1782]
Generated Node #2: [21, 75, 1782] from Operation: 99*18=1782
Current State: 33:[21, 75, 1782], Operations: ['99*18=1782']
Exploring Operation: 75-21=54, Resulting Numbers: [1782, 54]
Generated Node #3: [1782, 54] from Operation: 75-21=54
Current State: 33:[1782, 54], Operations: ['99*18=1782', '75-21=54']
Exploring Operation: 1782/54=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
68,
7,
58,
65
] | 47 | [
"68+58=126",
"126/7=18",
"65-18=47"
] | Current State: 47:[68, 7, 58, 65], Operations: []
Exploring Operation: 68+58=126, Resulting Numbers: [7, 65, 126]
Generated Node #2: [7, 65, 126] from Operation: 68+58=126
Current State: 47:[7, 65, 126], Operations: ['68+58=126']
Exploring Operation: 126/7=18, Resulting Numbers: [65, 18]
Generated Node #3: [65, 18] from Operation: 126/7=18
Current State: 47:[65, 18], Operations: ['68+58=126', '126/7=18']
Exploring Operation: 65-18=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
18,
58,
50,
96
] | 61 | [
"50-18=32",
"96/32=3",
"58+3=61"
] | Current State: 61:[18, 58, 50, 96], Operations: []
Exploring Operation: 50-18=32, Resulting Numbers: [58, 96, 32]
Generated Node #2: [58, 96, 32] from Operation: 50-18=32
Current State: 61:[58, 96, 32], Operations: ['50-18=32']
Exploring Operation: 96/32=3, Resulting Numbers: [58, 3]
Generated Node #3: [58, 3] from Operation: 96/32=3
Current State: 61:[58, 3], Operations: ['50-18=32', '96/32=3']
Exploring Operation: 58+3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
11,
69,
59,
3
] | 39 | [
"69-11=58",
"59+58=117",
"117/3=39"
] | Current State: 39:[11, 69, 59, 3], Operations: []
Exploring Operation: 69-11=58, Resulting Numbers: [59, 3, 58]
Generated Node #2: [59, 3, 58] from Operation: 69-11=58
Current State: 39:[59, 3, 58], Operations: ['69-11=58']
Exploring Operation: 59+58=117, Resulting Numbers: [3, 117]
Generated Node #3: [3, 117] from Operation: 59+58=117
Current State: 39:[3, 117], Operations: ['69-11=58', '59+58=117']
Exploring Operation: 117/3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
2,
42,
93,
70
] | 89 | [
"2*70=140",
"93-42=51",
"140-51=89"
] | Current State: 89:[2, 42, 93, 70], Operations: []
Exploring Operation: 2*70=140, Resulting Numbers: [42, 93, 140]
Generated Node #2: [42, 93, 140] from Operation: 2*70=140
Current State: 89:[42, 93, 140], Operations: ['2*70=140']
Exploring Operation: 93-42=51, Resulting Numbers: [140, 51]
Generated Node #3: [140, 51] from Operation: 93-42=51
Current State: 89:[140, 51], Operations: ['2*70=140', '93-42=51']
Exploring Operation: 140-51=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
87,
66,
59,
31
] | 68 | [
"87+31=118",
"118/59=2",
"66+2=68"
] | Current State: 68:[87, 66, 59, 31], Operations: []
Exploring Operation: 87+31=118, Resulting Numbers: [66, 59, 118]
Generated Node #2: [66, 59, 118] from Operation: 87+31=118
Current State: 68:[66, 59, 118], Operations: ['87+31=118']
Exploring Operation: 118/59=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 118/59=2
Current State: 68:[66, 2], Operations: ['87+31=118', '118/59=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
76,
3,
87,
23
] | 37 | [
"76-3=73",
"87+23=110",
"110-73=37"
] | Current State: 37:[76, 3, 87, 23], Operations: []
Exploring Operation: 76-3=73, Resulting Numbers: [87, 23, 73]
Generated Node #2: [87, 23, 73] from Operation: 76-3=73
Current State: 37:[87, 23, 73], Operations: ['76-3=73']
Exploring Operation: 87+23=110, Resulting Numbers: [73, 110]
Generated Node #3: [73, 110] from Operation: 87+23=110
Current State: 37:[73, 110], Operations: ['76-3=73', '87+23=110']
Exploring Operation: 110-73=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
45,
86,
41,
38
] | 31 | [
"45-41=4",
"86+38=124",
"124/4=31"
] | Current State: 31:[45, 86, 41, 38], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [86, 38, 4]
Generated Node #2: [86, 38, 4] from Operation: 45-41=4
Current State: 31:[86, 38, 4], Operations: ['45-41=4']
Exploring Operation: 86+38=124, Resulting Numbers: [4, 124]
Generated Node #3: [4, 124] from Operation: 86+38=124
Current State: 31:[4, 124], Operations: ['45-41=4', '86+38=124']
Exploring Operation: 124/4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
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