nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
45,
7,
24,
41
] | 13 | [
"45+7=52",
"24+41=65",
"65-52=13"
] | Current State: 13:[45, 7, 24, 41], Operations: []
Exploring Operation: 45+7=52, Resulting Numbers: [24, 41, 52]
Generated Node #2: [24, 41, 52] from Operation: 45+7=52
Current State: 13:[24, 41, 52], Operations: ['45+7=52']
Exploring Operation: 24+41=65, Resulting Numbers: [52, 65]
Generated Node #3: [52, 65] from Operation: 24+41=65
Current State: 13:[52, 65], Operations: ['45+7=52', '24+41=65']
Exploring Operation: 65-52=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
2,
62,
19,
70
] | 30 | [
"2*19=38",
"70-62=8",
"38-8=30"
] | Current State: 30:[2, 62, 19, 70], Operations: []
Exploring Operation: 2*19=38, Resulting Numbers: [62, 70, 38]
Generated Node #2: [62, 70, 38] from Operation: 2*19=38
Current State: 30:[62, 70, 38], Operations: ['2*19=38']
Exploring Operation: 70-62=8, Resulting Numbers: [38, 8]
Generated Node #3: [38, 8] from Operation: 70-62=8
Current State: 30:[38, 8], Operations: ['2*19=38', '70-62=8']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
71,
80,
40,
49
] | 18 | [
"80-71=9",
"49-40=9",
"9+9=18"
] | Current State: 18:[71, 80, 40, 49], Operations: []
Exploring Operation: 80-71=9, Resulting Numbers: [40, 49, 9]
Generated Node #2: [40, 49, 9] from Operation: 80-71=9
Current State: 18:[40, 49, 9], Operations: ['80-71=9']
Exploring Operation: 49-40=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 49-40=9
Current State: 18:[9, 9], Operations: ['80-71=9', '49-40=9']
Exploring Operation: 9+9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
17,
19,
27,
75
] | 50 | [
"19-17=2",
"75-27=48",
"2+48=50"
] | Current State: 50:[17, 19, 27, 75], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [27, 75, 2]
Generated Node #2: [27, 75, 2] from Operation: 19-17=2
Current State: 50:[27, 75, 2], Operations: ['19-17=2']
Exploring Operation: 75-27=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 75-27=48
Current State: 50:[2, 48], Operations: ['19-17=2', '75-27=48']
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
92,
2,
82,
3
] | 15 | [
"92+2=94",
"82-3=79",
"94-79=15"
] | Current State: 15:[92, 2, 82, 3], Operations: []
Exploring Operation: 92+2=94, Resulting Numbers: [82, 3, 94]
Generated Node #2: [82, 3, 94] from Operation: 92+2=94
Current State: 15:[82, 3, 94], Operations: ['92+2=94']
Exploring Operation: 82-3=79, Resulting Numbers: [94, 79]
Generated Node #3: [94, 79] from Operation: 82-3=79
Current State: 15:[94, 79], Operations: ['92+2=94', '82-3=79']
Exploring Operation: 94-79=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
44,
31,
96,
8
] | 13 | [
"44+31=75",
"96-8=88",
"88-75=13"
] | Current State: 13:[44, 31, 96, 8], Operations: []
Exploring Operation: 44+31=75, Resulting Numbers: [96, 8, 75]
Generated Node #2: [96, 8, 75] from Operation: 44+31=75
Current State: 13:[96, 8, 75], Operations: ['44+31=75']
Exploring Operation: 96-8=88, Resulting Numbers: [75, 88]
Generated Node #3: [75, 88] from Operation: 96-8=88
Current State: 13:[75, 88], Operations: ['44+31=75', '96-8=88']
Exploring Operation: 88-75=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
62,
25,
23,
72
] | 41 | [
"25-23=2",
"62/2=31",
"72-31=41"
] | Current State: 41:[62, 25, 23, 72], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [62, 72, 2]
Generated Node #2: [62, 72, 2] from Operation: 25-23=2
Current State: 41:[62, 72, 2], Operations: ['25-23=2']
Exploring Operation: 62/2=31, Resulting Numbers: [72, 31]
Generated Node #3: [72, 31] from Operation: 62/2=31
Current State: 41:[72, 31], Operations: ['25-23=2', '62/2=31']
Exploring Operation: 72-31=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
38,
35,
18,
55
] | 40 | [
"38-35=3",
"55-18=37",
"3+37=40"
] | Current State: 40:[38, 35, 18, 55], Operations: []
Exploring Operation: 38-35=3, Resulting Numbers: [18, 55, 3]
Generated Node #2: [18, 55, 3] from Operation: 38-35=3
Current State: 40:[18, 55, 3], Operations: ['38-35=3']
Exploring Operation: 55-18=37, Resulting Numbers: [3, 37]
Generated Node #3: [3, 37] from Operation: 55-18=37
Current State: 40:[3, 37], Operations: ['38-35=3', '55-18=37']
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
4,
95,
14,
36
] | 77 | [
"4+95=99",
"36-14=22",
"99-22=77"
] | Current State: 77:[4, 95, 14, 36], Operations: []
Exploring Operation: 4+95=99, Resulting Numbers: [14, 36, 99]
Generated Node #2: [14, 36, 99] from Operation: 4+95=99
Current State: 77:[14, 36, 99], Operations: ['4+95=99']
Exploring Operation: 36-14=22, Resulting Numbers: [99, 22]
Generated Node #3: [99, 22] from Operation: 36-14=22
Current State: 77:[99, 22], Operations: ['4+95=99', '36-14=22']
Exploring Operation: 99-22=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
42,
90,
88,
56
] | 14 | [
"90-88=2",
"56/2=28",
"42-28=14"
] | Current State: 14:[42, 90, 88, 56], Operations: []
Exploring Operation: 90-88=2, Resulting Numbers: [42, 56, 2]
Generated Node #2: [42, 56, 2] from Operation: 90-88=2
Current State: 14:[42, 56, 2], Operations: ['90-88=2']
Exploring Operation: 56/2=28, Resulting Numbers: [42, 28]
Generated Node #3: [42, 28] from Operation: 56/2=28
Current State: 14:[42, 28], Operations: ['90-88=2', '56/2=28']
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
44,
1,
89,
5
] | 51 | [
"44-1=43",
"89+5=94",
"94-43=51"
] | Current State: 51:[44, 1, 89, 5], Operations: []
Exploring Operation: 44-1=43, Resulting Numbers: [89, 5, 43]
Generated Node #2: [89, 5, 43] from Operation: 44-1=43
Current State: 51:[89, 5, 43], Operations: ['44-1=43']
Exploring Operation: 89+5=94, Resulting Numbers: [43, 94]
Generated Node #3: [43, 94] from Operation: 89+5=94
Current State: 51:[43, 94], Operations: ['44-1=43', '89+5=94']
Exploring Operation: 94-43=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
10,
15,
28,
30
] | 24 | [
"15*28=420",
"420/30=14",
"10+14=24"
] | Current State: 24:[10, 15, 28, 30], Operations: []
Exploring Operation: 15*28=420, Resulting Numbers: [10, 30, 420]
Generated Node #2: [10, 30, 420] from Operation: 15*28=420
Current State: 24:[10, 30, 420], Operations: ['15*28=420']
Exploring Operation: 420/30=14, Resulting Numbers: [10, 14]
Generated Node #3: [10, 14] from Operation: 420/30=14
Current State: 24:[10, 14], Operations: ['15*28=420', '420/30=14']
Exploring Operation: 10+14=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
48,
76,
3,
50
] | 58 | [
"48+76=124",
"50+124=174",
"174/3=58"
] | Current State: 58:[48, 76, 3, 50], Operations: []
Exploring Operation: 48+76=124, Resulting Numbers: [3, 50, 124]
Generated Node #2: [3, 50, 124] from Operation: 48+76=124
Current State: 58:[3, 50, 124], Operations: ['48+76=124']
Exploring Operation: 50+124=174, Resulting Numbers: [3, 174]
Generated Node #3: [3, 174] from Operation: 50+124=174
Current State: 58:[3, 174], Operations: ['48+76=124', '50+124=174']
Exploring Operation: 174/3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
9,
15,
35,
27
] | 60 | [
"27/9=3",
"35-15=20",
"3*20=60"
] | Current State: 60:[9, 15, 35, 27], Operations: []
Exploring Operation: 27/9=3, Resulting Numbers: [15, 35, 3]
Generated Node #2: [15, 35, 3] from Operation: 27/9=3
Current State: 60:[15, 35, 3], Operations: ['27/9=3']
Exploring Operation: 35-15=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 35-15=20
Current State: 60:[3, 20], Operations: ['27/9=3', '35-15=20']
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
28,
70,
91,
25
] | 74 | [
"70-28=42",
"91+25=116",
"116-42=74"
] | Current State: 74:[28, 70, 91, 25], Operations: []
Exploring Operation: 70-28=42, Resulting Numbers: [91, 25, 42]
Generated Node #2: [91, 25, 42] from Operation: 70-28=42
Current State: 74:[91, 25, 42], Operations: ['70-28=42']
Exploring Operation: 91+25=116, Resulting Numbers: [42, 116]
Generated Node #3: [42, 116] from Operation: 91+25=116
Current State: 74:[42, 116], Operations: ['70-28=42', '91+25=116']
Exploring Operation: 116-42=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
33,
15,
76,
45
] | 79 | [
"33+15=48",
"76-45=31",
"48+31=79"
] | Current State: 79:[33, 15, 76, 45], Operations: []
Exploring Operation: 33+15=48, Resulting Numbers: [76, 45, 48]
Generated Node #2: [76, 45, 48] from Operation: 33+15=48
Current State: 79:[76, 45, 48], Operations: ['33+15=48']
Exploring Operation: 76-45=31, Resulting Numbers: [48, 31]
Generated Node #3: [48, 31] from Operation: 76-45=31
Current State: 79:[48, 31], Operations: ['33+15=48', '76-45=31']
Exploring Operation: 48+31=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
63,
3,
2,
77
] | 85 | [
"77-3=74",
"2*74=148",
"148-63=85"
] | Current State: 85:[63, 3, 2, 77], Operations: []
Exploring Operation: 77-3=74, Resulting Numbers: [63, 2, 74]
Generated Node #2: [63, 2, 74] from Operation: 77-3=74
Current State: 85:[63, 2, 74], Operations: ['77-3=74']
Exploring Operation: 2*74=148, Resulting Numbers: [63, 148]
Generated Node #3: [63, 148] from Operation: 2*74=148
Current State: 85:[63, 148], Operations: ['77-3=74', '2*74=148']
Exploring Operation: 148-63=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
7,
92,
62,
67
] | 89 | [
"92+62=154",
"154/7=22",
"67+22=89"
] | Current State: 89:[7, 92, 62, 67], Operations: []
Exploring Operation: 92+62=154, Resulting Numbers: [7, 67, 154]
Generated Node #2: [7, 67, 154] from Operation: 92+62=154
Current State: 89:[7, 67, 154], Operations: ['92+62=154']
Exploring Operation: 154/7=22, Resulting Numbers: [67, 22]
Generated Node #3: [67, 22] from Operation: 154/7=22
Current State: 89:[67, 22], Operations: ['92+62=154', '154/7=22']
Exploring Operation: 67+22=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
36,
92,
90,
78
] | 95 | [
"90-78=12",
"36/12=3",
"92+3=95"
] | Current State: 95:[36, 92, 90, 78], Operations: []
Exploring Operation: 90-78=12, Resulting Numbers: [36, 92, 12]
Generated Node #2: [36, 92, 12] from Operation: 90-78=12
Current State: 95:[36, 92, 12], Operations: ['90-78=12']
Exploring Operation: 36/12=3, Resulting Numbers: [92, 3]
Generated Node #3: [92, 3] from Operation: 36/12=3
Current State: 95:[92, 3], Operations: ['90-78=12', '36/12=3']
Exploring Operation: 92+3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
47,
54,
56,
87
] | 67 | [
"47+87=134",
"56-54=2",
"134/2=67"
] | Current State: 67:[47, 54, 56, 87], Operations: []
Exploring Operation: 47+87=134, Resulting Numbers: [54, 56, 134]
Generated Node #2: [54, 56, 134] from Operation: 47+87=134
Current State: 67:[54, 56, 134], Operations: ['47+87=134']
Exploring Operation: 56-54=2, Resulting Numbers: [134, 2]
Generated Node #3: [134, 2] from Operation: 56-54=2
Current State: 67:[134, 2], Operations: ['47+87=134', '56-54=2']
Exploring Operation: 134/2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
53,
55,
47,
48
] | 41 | [
"53*48=2544",
"55*47=2585",
"2585-2544=41"
] | Current State: 41:[53, 55, 47, 48], Operations: []
Exploring Operation: 53*48=2544, Resulting Numbers: [55, 47, 2544]
Generated Node #2: [55, 47, 2544] from Operation: 53*48=2544
Current State: 41:[55, 47, 2544], Operations: ['53*48=2544']
Exploring Operation: 55*47=2585, Resulting Numbers: [2544, 2585]
Generated Node #3: [2544, 2585] from Operation: 55*47=2585
Current State: 41:[2544, 2585], Operations: ['53*48=2544', '55*47=2585']
Exploring Operation: 2585-2544=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
44,
11,
32,
25
] | 61 | [
"44/11=4",
"32+25=57",
"4+57=61"
] | Current State: 61:[44, 11, 32, 25], Operations: []
Exploring Operation: 44/11=4, Resulting Numbers: [32, 25, 4]
Generated Node #2: [32, 25, 4] from Operation: 44/11=4
Current State: 61:[32, 25, 4], Operations: ['44/11=4']
Exploring Operation: 32+25=57, Resulting Numbers: [4, 57]
Generated Node #3: [4, 57] from Operation: 32+25=57
Current State: 61:[4, 57], Operations: ['44/11=4', '32+25=57']
Exploring Operation: 4+57=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
94,
3,
81,
50
] | 33 | [
"94+50=144",
"144/3=48",
"81-48=33"
] | Current State: 33:[94, 3, 81, 50], Operations: []
Exploring Operation: 94+50=144, Resulting Numbers: [3, 81, 144]
Generated Node #2: [3, 81, 144] from Operation: 94+50=144
Current State: 33:[3, 81, 144], Operations: ['94+50=144']
Exploring Operation: 144/3=48, Resulting Numbers: [81, 48]
Generated Node #3: [81, 48] from Operation: 144/3=48
Current State: 33:[81, 48], Operations: ['94+50=144', '144/3=48']
Exploring Operation: 81-48=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
24,
54,
55,
96
] | 72 | [
"96-24=72",
"55-54=1",
"72*1=72"
] | Current State: 72:[24, 54, 55, 96], Operations: []
Exploring Operation: 96-24=72, Resulting Numbers: [54, 55, 72]
Generated Node #2: [54, 55, 72] from Operation: 96-24=72
Current State: 72:[54, 55, 72], Operations: ['96-24=72']
Exploring Operation: 55-54=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 55-54=1
Current State: 72:[72, 1], Operations: ['96-24=72', '55-54=1']
Exploring Operation: 72*1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
14,
32,
3,
26
] | 60 | [
"14+32=46",
"46-26=20",
"3*20=60"
] | Current State: 60:[14, 32, 3, 26], Operations: []
Exploring Operation: 14+32=46, Resulting Numbers: [3, 26, 46]
Generated Node #2: [3, 26, 46] from Operation: 14+32=46
Current State: 60:[3, 26, 46], Operations: ['14+32=46']
Exploring Operation: 46-26=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 46-26=20
Current State: 60:[3, 20], Operations: ['14+32=46', '46-26=20']
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
79,
72,
75,
37
] | 45 | [
"79-72=7",
"75-37=38",
"7+38=45"
] | Current State: 45:[79, 72, 75, 37], Operations: []
Exploring Operation: 79-72=7, Resulting Numbers: [75, 37, 7]
Generated Node #2: [75, 37, 7] from Operation: 79-72=7
Current State: 45:[75, 37, 7], Operations: ['79-72=7']
Exploring Operation: 75-37=38, Resulting Numbers: [7, 38]
Generated Node #3: [7, 38] from Operation: 75-37=38
Current State: 45:[7, 38], Operations: ['79-72=7', '75-37=38']
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
5,
69,
33,
26
] | 12 | [
"5*69=345",
"345-33=312",
"312/26=12"
] | Current State: 12:[5, 69, 33, 26], Operations: []
Exploring Operation: 5*69=345, Resulting Numbers: [33, 26, 345]
Generated Node #2: [33, 26, 345] from Operation: 5*69=345
Current State: 12:[33, 26, 345], Operations: ['5*69=345']
Exploring Operation: 345-33=312, Resulting Numbers: [26, 312]
Generated Node #3: [26, 312] from Operation: 345-33=312
Current State: 12:[26, 312], Operations: ['5*69=345', '345-33=312']
Exploring Operation: 312/26=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
16,
56,
39,
35
] | 60 | [
"39-35=4",
"16/4=4",
"56+4=60"
] | Current State: 60:[16, 56, 39, 35], Operations: []
Exploring Operation: 39-35=4, Resulting Numbers: [16, 56, 4]
Generated Node #2: [16, 56, 4] from Operation: 39-35=4
Current State: 60:[16, 56, 4], Operations: ['39-35=4']
Exploring Operation: 16/4=4, Resulting Numbers: [56, 4]
Generated Node #3: [56, 4] from Operation: 16/4=4
Current State: 60:[56, 4], Operations: ['39-35=4', '16/4=4']
Exploring Operation: 56+4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
3,
3,
63,
88
] | 92 | [
"63-3=60",
"3*60=180",
"180-88=92"
] | Current State: 92:[3, 3, 63, 88], Operations: []
Exploring Operation: 63-3=60, Resulting Numbers: [88, 60]
Generated Node #2: [88, 60] from Operation: 63-3=60
Current State: 92:[88, 60], Operations: ['63-3=60']
Exploring Operation: 3*60=180, Resulting Numbers: [88, 180]
Generated Node #3: [88, 180] from Operation: 3*60=180
Current State: 92:[88, 180], Operations: ['63-3=60', '3*60=180']
Exploring Operation: 180-88=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
48,
96,
13,
34
] | 96 | [
"48-13=35",
"35-34=1",
"96*1=96"
] | Current State: 96:[48, 96, 13, 34], Operations: []
Exploring Operation: 48-13=35, Resulting Numbers: [96, 34, 35]
Generated Node #2: [96, 34, 35] from Operation: 48-13=35
Current State: 96:[96, 34, 35], Operations: ['48-13=35']
Exploring Operation: 35-34=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 35-34=1
Current State: 96:[96, 1], Operations: ['48-13=35', '35-34=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
11,
69,
58,
31
] | 31 | [
"69-11=58",
"58+31=89",
"89-58=31"
] | Current State: 31:[11, 69, 58, 31], Operations: []
Exploring Operation: 69-11=58, Resulting Numbers: [58, 31, 58]
Generated Node #2: [58, 31, 58] from Operation: 69-11=58
Current State: 31:[58, 31, 58], Operations: ['69-11=58']
Exploring Operation: 58+31=89, Resulting Numbers: [89]
89,31 equal: Goal Reached
Exploring Operation: 89-58=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
60,
10,
53,
17
] | 11 | [
"60*10=600",
"600-17=583",
"583/53=11"
] | Current State: 11:[60, 10, 53, 17], Operations: []
Exploring Operation: 60*10=600, Resulting Numbers: [53, 17, 600]
Generated Node #2: [53, 17, 600] from Operation: 60*10=600
Current State: 11:[53, 17, 600], Operations: ['60*10=600']
Exploring Operation: 600-17=583, Resulting Numbers: [53, 583]
Generated Node #3: [53, 583] from Operation: 600-17=583
Current State: 11:[53, 583], Operations: ['60*10=600', '600-17=583']
Exploring Operation: 583/53=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
39,
7,
14,
42
] | 96 | [
"39-7=32",
"42/14=3",
"32*3=96"
] | Current State: 96:[39, 7, 14, 42], Operations: []
Exploring Operation: 39-7=32, Resulting Numbers: [14, 42, 32]
Generated Node #2: [14, 42, 32] from Operation: 39-7=32
Current State: 96:[14, 42, 32], Operations: ['39-7=32']
Exploring Operation: 42/14=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 42/14=3
Current State: 96:[32, 3], Operations: ['39-7=32', '42/14=3']
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
99,
83,
74,
8
] | 19 | [
"83-74=9",
"99/9=11",
"8+11=19"
] | Current State: 19:[99, 83, 74, 8], Operations: []
Exploring Operation: 83-74=9, Resulting Numbers: [99, 8, 9]
Generated Node #2: [99, 8, 9] from Operation: 83-74=9
Current State: 19:[99, 8, 9], Operations: ['83-74=9']
Exploring Operation: 99/9=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 99/9=11
Current State: 19:[8, 11], Operations: ['83-74=9', '99/9=11']
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
14,
50,
73,
73
] | 82 | [
"14+50=64",
"73+73=146",
"146-64=82"
] | Current State: 82:[14, 50, 73, 73], Operations: []
Exploring Operation: 14+50=64, Resulting Numbers: [73, 73, 64]
Generated Node #2: [73, 73, 64] from Operation: 14+50=64
Current State: 82:[73, 73, 64], Operations: ['14+50=64']
Exploring Operation: 73+73=146, Resulting Numbers: [64, 146]
Generated Node #3: [64, 146] from Operation: 73+73=146
Current State: 82:[64, 146], Operations: ['14+50=64', '73+73=146']
Exploring Operation: 146-64=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
19,
41,
31,
57
] | 52 | [
"57/19=3",
"31*3=93",
"93-41=52"
] | Current State: 52:[19, 41, 31, 57], Operations: []
Exploring Operation: 57/19=3, Resulting Numbers: [41, 31, 3]
Generated Node #2: [41, 31, 3] from Operation: 57/19=3
Current State: 52:[41, 31, 3], Operations: ['57/19=3']
Exploring Operation: 31*3=93, Resulting Numbers: [41, 93]
Generated Node #3: [41, 93] from Operation: 31*3=93
Current State: 52:[41, 93], Operations: ['57/19=3', '31*3=93']
Exploring Operation: 93-41=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
35,
3,
55,
13
] | 63 | [
"35*3=105",
"55-13=42",
"105-42=63"
] | Current State: 63:[35, 3, 55, 13], Operations: []
Exploring Operation: 35*3=105, Resulting Numbers: [55, 13, 105]
Generated Node #2: [55, 13, 105] from Operation: 35*3=105
Current State: 63:[55, 13, 105], Operations: ['35*3=105']
Exploring Operation: 55-13=42, Resulting Numbers: [105, 42]
Generated Node #3: [105, 42] from Operation: 55-13=42
Current State: 63:[105, 42], Operations: ['35*3=105', '55-13=42']
Exploring Operation: 105-42=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
27,
2,
42,
48
] | 48 | [
"27*2=54",
"48-42=6",
"54-6=48"
] | Current State: 48:[27, 2, 42, 48], Operations: []
Exploring Operation: 27*2=54, Resulting Numbers: [42, 48, 54]
Generated Node #2: [42, 48, 54] from Operation: 27*2=54
Current State: 48:[42, 48, 54], Operations: ['27*2=54']
Exploring Operation: 48-42=6, Resulting Numbers: [54, 6]
Generated Node #3: [54, 6] from Operation: 48-42=6
Current State: 48:[54, 6], Operations: ['27*2=54', '48-42=6']
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
8,
70,
25,
34
] | 19 | [
"8+70=78",
"25+34=59",
"78-59=19"
] | Current State: 19:[8, 70, 25, 34], Operations: []
Exploring Operation: 8+70=78, Resulting Numbers: [25, 34, 78]
Generated Node #2: [25, 34, 78] from Operation: 8+70=78
Current State: 19:[25, 34, 78], Operations: ['8+70=78']
Exploring Operation: 25+34=59, Resulting Numbers: [78, 59]
Generated Node #3: [78, 59] from Operation: 25+34=59
Current State: 19:[78, 59], Operations: ['8+70=78', '25+34=59']
Exploring Operation: 78-59=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
71,
63,
45,
80
] | 27 | [
"71-63=8",
"80-45=35",
"35-8=27"
] | Current State: 27:[71, 63, 45, 80], Operations: []
Exploring Operation: 71-63=8, Resulting Numbers: [45, 80, 8]
Generated Node #2: [45, 80, 8] from Operation: 71-63=8
Current State: 27:[45, 80, 8], Operations: ['71-63=8']
Exploring Operation: 80-45=35, Resulting Numbers: [8, 35]
Generated Node #3: [8, 35] from Operation: 80-45=35
Current State: 27:[8, 35], Operations: ['71-63=8', '80-45=35']
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
55,
38,
59,
79
] | 37 | [
"55-38=17",
"79-59=20",
"17+20=37"
] | Current State: 37:[55, 38, 59, 79], Operations: []
Exploring Operation: 55-38=17, Resulting Numbers: [59, 79, 17]
Generated Node #2: [59, 79, 17] from Operation: 55-38=17
Current State: 37:[59, 79, 17], Operations: ['55-38=17']
Exploring Operation: 79-59=20, Resulting Numbers: [17, 20]
Generated Node #3: [17, 20] from Operation: 79-59=20
Current State: 37:[17, 20], Operations: ['55-38=17', '79-59=20']
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
61,
85,
7,
2
] | 76 | [
"61+2=63",
"63/7=9",
"85-9=76"
] | Current State: 76:[61, 85, 7, 2], Operations: []
Exploring Operation: 61+2=63, Resulting Numbers: [85, 7, 63]
Generated Node #2: [85, 7, 63] from Operation: 61+2=63
Current State: 76:[85, 7, 63], Operations: ['61+2=63']
Exploring Operation: 63/7=9, Resulting Numbers: [85, 9]
Generated Node #3: [85, 9] from Operation: 63/7=9
Current State: 76:[85, 9], Operations: ['61+2=63', '63/7=9']
Exploring Operation: 85-9=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
41,
42,
44,
46
] | 81 | [
"41+42=83",
"46-44=2",
"83-2=81"
] | Current State: 81:[41, 42, 44, 46], Operations: []
Exploring Operation: 41+42=83, Resulting Numbers: [44, 46, 83]
Generated Node #2: [44, 46, 83] from Operation: 41+42=83
Current State: 81:[44, 46, 83], Operations: ['41+42=83']
Exploring Operation: 46-44=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 46-44=2
Current State: 81:[83, 2], Operations: ['41+42=83', '46-44=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
8,
44,
14,
56
] | 82 | [
"56-44=12",
"8*12=96",
"96-14=82"
] | Current State: 82:[8, 44, 14, 56], Operations: []
Exploring Operation: 56-44=12, Resulting Numbers: [8, 14, 12]
Generated Node #2: [8, 14, 12] from Operation: 56-44=12
Current State: 82:[8, 14, 12], Operations: ['56-44=12']
Exploring Operation: 8*12=96, Resulting Numbers: [14, 96]
Generated Node #3: [14, 96] from Operation: 8*12=96
Current State: 82:[14, 96], Operations: ['56-44=12', '8*12=96']
Exploring Operation: 96-14=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
28,
58,
31,
44
] | 99 | [
"28+58=86",
"44-31=13",
"86+13=99"
] | Current State: 99:[28, 58, 31, 44], Operations: []
Exploring Operation: 28+58=86, Resulting Numbers: [31, 44, 86]
Generated Node #2: [31, 44, 86] from Operation: 28+58=86
Current State: 99:[31, 44, 86], Operations: ['28+58=86']
Exploring Operation: 44-31=13, Resulting Numbers: [86, 13]
Generated Node #3: [86, 13] from Operation: 44-31=13
Current State: 99:[86, 13], Operations: ['28+58=86', '44-31=13']
Exploring Operation: 86+13=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
16,
61,
65,
79
] | 70 | [
"65+79=144",
"144/16=9",
"61+9=70"
] | Current State: 70:[16, 61, 65, 79], Operations: []
Exploring Operation: 65+79=144, Resulting Numbers: [16, 61, 144]
Generated Node #2: [16, 61, 144] from Operation: 65+79=144
Current State: 70:[16, 61, 144], Operations: ['65+79=144']
Exploring Operation: 144/16=9, Resulting Numbers: [61, 9]
Generated Node #3: [61, 9] from Operation: 144/16=9
Current State: 70:[61, 9], Operations: ['65+79=144', '144/16=9']
Exploring Operation: 61+9=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
63,
5,
61,
44
] | 96 | [
"63+61=124",
"5*44=220",
"220-124=96"
] | Current State: 96:[63, 5, 61, 44], Operations: []
Exploring Operation: 63+61=124, Resulting Numbers: [5, 44, 124]
Generated Node #2: [5, 44, 124] from Operation: 63+61=124
Current State: 96:[5, 44, 124], Operations: ['63+61=124']
Exploring Operation: 5*44=220, Resulting Numbers: [124, 220]
Generated Node #3: [124, 220] from Operation: 5*44=220
Current State: 96:[124, 220], Operations: ['63+61=124', '5*44=220']
Exploring Operation: 220-124=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
49,
49,
67,
96
] | 67 | [
"49-49=0",
"96*0=0",
"67+0=67"
] | Current State: 67:[49, 49, 67, 96], Operations: []
Exploring Operation: 49-49=0, Resulting Numbers: [67, 96, 0]
Generated Node #2: [67, 96, 0] from Operation: 49-49=0
Current State: 67:[67, 96, 0], Operations: ['49-49=0']
Exploring Operation: 96*0=0, Resulting Numbers: [67, 0]
Generated Node #3: [67, 0] from Operation: 96*0=0
Current State: 67:[67, 0], Operations: ['49-49=0', '96*0=0']
Exploring Operation: 67+0=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
5,
10,
41,
74
] | 21 | [
"41-10=31",
"74+31=105",
"105/5=21"
] | Current State: 21:[5, 10, 41, 74], Operations: []
Exploring Operation: 41-10=31, Resulting Numbers: [5, 74, 31]
Generated Node #2: [5, 74, 31] from Operation: 41-10=31
Current State: 21:[5, 74, 31], Operations: ['41-10=31']
Exploring Operation: 74+31=105, Resulting Numbers: [5, 105]
Generated Node #3: [5, 105] from Operation: 74+31=105
Current State: 21:[5, 105], Operations: ['41-10=31', '74+31=105']
Exploring Operation: 105/5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
59,
79,
96,
62
] | 61 | [
"96+62=158",
"158/79=2",
"59+2=61"
] | Current State: 61:[59, 79, 96, 62], Operations: []
Exploring Operation: 96+62=158, Resulting Numbers: [59, 79, 158]
Generated Node #2: [59, 79, 158] from Operation: 96+62=158
Current State: 61:[59, 79, 158], Operations: ['96+62=158']
Exploring Operation: 158/79=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 158/79=2
Current State: 61:[59, 2], Operations: ['96+62=158', '158/79=2']
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
46,
15,
20,
70
] | 29 | [
"46+15=61",
"20+70=90",
"90-61=29"
] | Current State: 29:[46, 15, 20, 70], Operations: []
Exploring Operation: 46+15=61, Resulting Numbers: [20, 70, 61]
Generated Node #2: [20, 70, 61] from Operation: 46+15=61
Current State: 29:[20, 70, 61], Operations: ['46+15=61']
Exploring Operation: 20+70=90, Resulting Numbers: [61, 90]
Generated Node #3: [61, 90] from Operation: 20+70=90
Current State: 29:[61, 90], Operations: ['46+15=61', '20+70=90']
Exploring Operation: 90-61=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
96,
78,
23,
36
] | 90 | [
"36-23=13",
"78/13=6",
"96-6=90"
] | Current State: 90:[96, 78, 23, 36], Operations: []
Exploring Operation: 36-23=13, Resulting Numbers: [96, 78, 13]
Generated Node #2: [96, 78, 13] from Operation: 36-23=13
Current State: 90:[96, 78, 13], Operations: ['36-23=13']
Exploring Operation: 78/13=6, Resulting Numbers: [96, 6]
Generated Node #3: [96, 6] from Operation: 78/13=6
Current State: 90:[96, 6], Operations: ['36-23=13', '78/13=6']
Exploring Operation: 96-6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
10,
40,
95,
21
] | 24 | [
"10+40=50",
"95-21=74",
"74-50=24"
] | Current State: 24:[10, 40, 95, 21], Operations: []
Exploring Operation: 10+40=50, Resulting Numbers: [95, 21, 50]
Generated Node #2: [95, 21, 50] from Operation: 10+40=50
Current State: 24:[95, 21, 50], Operations: ['10+40=50']
Exploring Operation: 95-21=74, Resulting Numbers: [50, 74]
Generated Node #3: [50, 74] from Operation: 95-21=74
Current State: 24:[50, 74], Operations: ['10+40=50', '95-21=74']
Exploring Operation: 74-50=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
60,
59,
31,
61
] | 57 | [
"61-31=30",
"60/30=2",
"59-2=57"
] | Current State: 57:[60, 59, 31, 61], Operations: []
Exploring Operation: 61-31=30, Resulting Numbers: [60, 59, 30]
Generated Node #2: [60, 59, 30] from Operation: 61-31=30
Current State: 57:[60, 59, 30], Operations: ['61-31=30']
Exploring Operation: 60/30=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 60/30=2
Current State: 57:[59, 2], Operations: ['61-31=30', '60/30=2']
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
7,
93,
4,
39
] | 24 | [
"7-4=3",
"39*3=117",
"117-93=24"
] | Current State: 24:[7, 93, 4, 39], Operations: []
Exploring Operation: 7-4=3, Resulting Numbers: [93, 39, 3]
Generated Node #2: [93, 39, 3] from Operation: 7-4=3
Current State: 24:[93, 39, 3], Operations: ['7-4=3']
Exploring Operation: 39*3=117, Resulting Numbers: [93, 117]
Generated Node #3: [93, 117] from Operation: 39*3=117
Current State: 24:[93, 117], Operations: ['7-4=3', '39*3=117']
Exploring Operation: 117-93=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
14,
91,
72,
59
] | 91 | [
"72-14=58",
"59-58=1",
"91*1=91"
] | Current State: 91:[14, 91, 72, 59], Operations: []
Exploring Operation: 72-14=58, Resulting Numbers: [91, 59, 58]
Generated Node #2: [91, 59, 58] from Operation: 72-14=58
Current State: 91:[91, 59, 58], Operations: ['72-14=58']
Exploring Operation: 59-58=1, Resulting Numbers: [91, 1]
Generated Node #3: [91, 1] from Operation: 59-58=1
Current State: 91:[91, 1], Operations: ['72-14=58', '59-58=1']
Exploring Operation: 91*1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
94,
5,
44,
51
] | 75 | [
"94+51=145",
"5*44=220",
"220-145=75"
] | Current State: 75:[94, 5, 44, 51], Operations: []
Exploring Operation: 94+51=145, Resulting Numbers: [5, 44, 145]
Generated Node #2: [5, 44, 145] from Operation: 94+51=145
Current State: 75:[5, 44, 145], Operations: ['94+51=145']
Exploring Operation: 5*44=220, Resulting Numbers: [145, 220]
Generated Node #3: [145, 220] from Operation: 5*44=220
Current State: 75:[145, 220], Operations: ['94+51=145', '5*44=220']
Exploring Operation: 220-145=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
4,
63,
21,
68
] | 89 | [
"4*21=84",
"68-63=5",
"84+5=89"
] | Current State: 89:[4, 63, 21, 68], Operations: []
Exploring Operation: 4*21=84, Resulting Numbers: [63, 68, 84]
Generated Node #2: [63, 68, 84] from Operation: 4*21=84
Current State: 89:[63, 68, 84], Operations: ['4*21=84']
Exploring Operation: 68-63=5, Resulting Numbers: [84, 5]
Generated Node #3: [84, 5] from Operation: 68-63=5
Current State: 89:[84, 5], Operations: ['4*21=84', '68-63=5']
Exploring Operation: 84+5=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
33,
58,
44,
3
] | 57 | [
"58-33=25",
"44-25=19",
"3*19=57"
] | Current State: 57:[33, 58, 44, 3], Operations: []
Exploring Operation: 58-33=25, Resulting Numbers: [44, 3, 25]
Generated Node #2: [44, 3, 25] from Operation: 58-33=25
Current State: 57:[44, 3, 25], Operations: ['58-33=25']
Exploring Operation: 44-25=19, Resulting Numbers: [3, 19]
Generated Node #3: [3, 19] from Operation: 44-25=19
Current State: 57:[3, 19], Operations: ['58-33=25', '44-25=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
25,
85,
9,
17
] | 29 | [
"25+9=34",
"85/17=5",
"34-5=29"
] | Current State: 29:[25, 85, 9, 17], Operations: []
Exploring Operation: 25+9=34, Resulting Numbers: [85, 17, 34]
Generated Node #2: [85, 17, 34] from Operation: 25+9=34
Current State: 29:[85, 17, 34], Operations: ['25+9=34']
Exploring Operation: 85/17=5, Resulting Numbers: [34, 5]
Generated Node #3: [34, 5] from Operation: 85/17=5
Current State: 29:[34, 5], Operations: ['25+9=34', '85/17=5']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
72,
32,
58,
38
] | 75 | [
"58+38=96",
"96/32=3",
"72+3=75"
] | Current State: 75:[72, 32, 58, 38], Operations: []
Exploring Operation: 58+38=96, Resulting Numbers: [72, 32, 96]
Generated Node #2: [72, 32, 96] from Operation: 58+38=96
Current State: 75:[72, 32, 96], Operations: ['58+38=96']
Exploring Operation: 96/32=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 96/32=3
Current State: 75:[72, 3], Operations: ['58+38=96', '96/32=3']
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
10,
97,
12,
18
] | 88 | [
"12-10=2",
"18/2=9",
"97-9=88"
] | Current State: 88:[10, 97, 12, 18], Operations: []
Exploring Operation: 12-10=2, Resulting Numbers: [97, 18, 2]
Generated Node #2: [97, 18, 2] from Operation: 12-10=2
Current State: 88:[97, 18, 2], Operations: ['12-10=2']
Exploring Operation: 18/2=9, Resulting Numbers: [97, 9]
Generated Node #3: [97, 9] from Operation: 18/2=9
Current State: 88:[97, 9], Operations: ['12-10=2', '18/2=9']
Exploring Operation: 97-9=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
32,
27,
20,
22
] | 78 | [
"32-27=5",
"20*5=100",
"100-22=78"
] | Current State: 78:[32, 27, 20, 22], Operations: []
Exploring Operation: 32-27=5, Resulting Numbers: [20, 22, 5]
Generated Node #2: [20, 22, 5] from Operation: 32-27=5
Current State: 78:[20, 22, 5], Operations: ['32-27=5']
Exploring Operation: 20*5=100, Resulting Numbers: [22, 100]
Generated Node #3: [22, 100] from Operation: 20*5=100
Current State: 78:[22, 100], Operations: ['32-27=5', '20*5=100']
Exploring Operation: 100-22=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
12,
96,
36,
22
] | 66 | [
"12+96=108",
"108/36=3",
"22*3=66"
] | Current State: 66:[12, 96, 36, 22], Operations: []
Exploring Operation: 12+96=108, Resulting Numbers: [36, 22, 108]
Generated Node #2: [36, 22, 108] from Operation: 12+96=108
Current State: 66:[36, 22, 108], Operations: ['12+96=108']
Exploring Operation: 108/36=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 108/36=3
Current State: 66:[22, 3], Operations: ['12+96=108', '108/36=3']
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
9,
27,
21,
42
] | 81 | [
"27-9=18",
"21+42=63",
"18+63=81"
] | Current State: 81:[9, 27, 21, 42], Operations: []
Exploring Operation: 27-9=18, Resulting Numbers: [21, 42, 18]
Generated Node #2: [21, 42, 18] from Operation: 27-9=18
Current State: 81:[21, 42, 18], Operations: ['27-9=18']
Exploring Operation: 21+42=63, Resulting Numbers: [18, 63]
Generated Node #3: [18, 63] from Operation: 21+42=63
Current State: 81:[18, 63], Operations: ['27-9=18', '21+42=63']
Exploring Operation: 18+63=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
5,
74,
40,
57
] | 18 | [
"5+74=79",
"40+57=97",
"97-79=18"
] | Current State: 18:[5, 74, 40, 57], Operations: []
Exploring Operation: 5+74=79, Resulting Numbers: [40, 57, 79]
Generated Node #2: [40, 57, 79] from Operation: 5+74=79
Current State: 18:[40, 57, 79], Operations: ['5+74=79']
Exploring Operation: 40+57=97, Resulting Numbers: [79, 97]
Generated Node #3: [79, 97] from Operation: 40+57=97
Current State: 18:[79, 97], Operations: ['5+74=79', '40+57=97']
Exploring Operation: 97-79=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
47,
44,
13,
79
] | 63 | [
"47-44=3",
"79-13=66",
"66-3=63"
] | Current State: 63:[47, 44, 13, 79], Operations: []
Exploring Operation: 47-44=3, Resulting Numbers: [13, 79, 3]
Generated Node #2: [13, 79, 3] from Operation: 47-44=3
Current State: 63:[13, 79, 3], Operations: ['47-44=3']
Exploring Operation: 79-13=66, Resulting Numbers: [3, 66]
Generated Node #3: [3, 66] from Operation: 79-13=66
Current State: 63:[3, 66], Operations: ['47-44=3', '79-13=66']
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
48,
58,
68,
92
] | 24 | [
"92-58=34",
"48*34=1632",
"1632/68=24"
] | Current State: 24:[48, 58, 68, 92], Operations: []
Exploring Operation: 92-58=34, Resulting Numbers: [48, 68, 34]
Generated Node #2: [48, 68, 34] from Operation: 92-58=34
Current State: 24:[48, 68, 34], Operations: ['92-58=34']
Exploring Operation: 48*34=1632, Resulting Numbers: [68, 1632]
Generated Node #3: [68, 1632] from Operation: 48*34=1632
Current State: 24:[68, 1632], Operations: ['92-58=34', '48*34=1632']
Exploring Operation: 1632/68=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
3,
31,
10,
5
] | 72 | [
"5-3=2",
"31*2=62",
"10+62=72"
] | Current State: 72:[3, 31, 10, 5], Operations: []
Exploring Operation: 5-3=2, Resulting Numbers: [31, 10, 2]
Generated Node #2: [31, 10, 2] from Operation: 5-3=2
Current State: 72:[31, 10, 2], Operations: ['5-3=2']
Exploring Operation: 31*2=62, Resulting Numbers: [10, 62]
Generated Node #3: [10, 62] from Operation: 31*2=62
Current State: 72:[10, 62], Operations: ['5-3=2', '31*2=62']
Exploring Operation: 10+62=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
30,
4,
19,
22
] | 84 | [
"30-22=8",
"4*19=76",
"8+76=84"
] | Current State: 84:[30, 4, 19, 22], Operations: []
Exploring Operation: 30-22=8, Resulting Numbers: [4, 19, 8]
Generated Node #2: [4, 19, 8] from Operation: 30-22=8
Current State: 84:[4, 19, 8], Operations: ['30-22=8']
Exploring Operation: 4*19=76, Resulting Numbers: [8, 76]
Generated Node #3: [8, 76] from Operation: 4*19=76
Current State: 84:[8, 76], Operations: ['30-22=8', '4*19=76']
Exploring Operation: 8+76=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
8,
97,
78,
74
] | 99 | [
"78-74=4",
"8/4=2",
"97+2=99"
] | Current State: 99:[8, 97, 78, 74], Operations: []
Exploring Operation: 78-74=4, Resulting Numbers: [8, 97, 4]
Generated Node #2: [8, 97, 4] from Operation: 78-74=4
Current State: 99:[8, 97, 4], Operations: ['78-74=4']
Exploring Operation: 8/4=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 8/4=2
Current State: 99:[97, 2], Operations: ['78-74=4', '8/4=2']
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
54,
53,
74,
19
] | 55 | [
"54-53=1",
"74-19=55",
"1*55=55"
] | Current State: 55:[54, 53, 74, 19], Operations: []
Exploring Operation: 54-53=1, Resulting Numbers: [74, 19, 1]
Generated Node #2: [74, 19, 1] from Operation: 54-53=1
Current State: 55:[74, 19, 1], Operations: ['54-53=1']
Exploring Operation: 74-19=55, Resulting Numbers: [1, 55]
Generated Node #3: [1, 55] from Operation: 74-19=55
Current State: 55:[1, 55], Operations: ['54-53=1', '74-19=55']
Exploring Operation: 1*55=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
48,
27,
27,
3
] | 24 | [
"27/27=1",
"3-1=2",
"48/2=24"
] | Current State: 24:[48, 27, 27, 3], Operations: []
Exploring Operation: 27/27=1, Resulting Numbers: [48, 3, 1]
Generated Node #2: [48, 3, 1] from Operation: 27/27=1
Current State: 24:[48, 3, 1], Operations: ['27/27=1']
Exploring Operation: 3-1=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 3-1=2
Current State: 24:[48, 2], Operations: ['27/27=1', '3-1=2']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
18,
70,
20,
90
] | 95 | [
"90/18=5",
"70+20=90",
"5+90=95"
] | Current State: 95:[18, 70, 20, 90], Operations: []
Exploring Operation: 90/18=5, Resulting Numbers: [70, 20, 5]
Generated Node #2: [70, 20, 5] from Operation: 90/18=5
Current State: 95:[70, 20, 5], Operations: ['90/18=5']
Exploring Operation: 70+20=90, Resulting Numbers: [5, 90]
Generated Node #3: [5, 90] from Operation: 70+20=90
Current State: 95:[5, 90], Operations: ['90/18=5', '70+20=90']
Exploring Operation: 5+90=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
94,
60,
45,
77
] | 90 | [
"94+60=154",
"45*154=6930",
"6930/77=90"
] | Current State: 90:[94, 60, 45, 77], Operations: []
Exploring Operation: 94+60=154, Resulting Numbers: [45, 77, 154]
Generated Node #2: [45, 77, 154] from Operation: 94+60=154
Current State: 90:[45, 77, 154], Operations: ['94+60=154']
Exploring Operation: 45*154=6930, Resulting Numbers: [77, 6930]
Generated Node #3: [77, 6930] from Operation: 45*154=6930
Current State: 90:[77, 6930], Operations: ['94+60=154', '45*154=6930']
Exploring Operation: 6930/77=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
14,
88,
97,
4
] | 90 | [
"14-4=10",
"97-88=9",
"10*9=90"
] | Current State: 90:[14, 88, 97, 4], Operations: []
Exploring Operation: 14-4=10, Resulting Numbers: [88, 97, 10]
Generated Node #2: [88, 97, 10] from Operation: 14-4=10
Current State: 90:[88, 97, 10], Operations: ['14-4=10']
Exploring Operation: 97-88=9, Resulting Numbers: [10, 9]
Generated Node #3: [10, 9] from Operation: 97-88=9
Current State: 90:[10, 9], Operations: ['14-4=10', '97-88=9']
Exploring Operation: 10*9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
22,
64,
3,
21
] | 79 | [
"22+64=86",
"21/3=7",
"86-7=79"
] | Current State: 79:[22, 64, 3, 21], Operations: []
Exploring Operation: 22+64=86, Resulting Numbers: [3, 21, 86]
Generated Node #2: [3, 21, 86] from Operation: 22+64=86
Current State: 79:[3, 21, 86], Operations: ['22+64=86']
Exploring Operation: 21/3=7, Resulting Numbers: [86, 7]
Generated Node #3: [86, 7] from Operation: 21/3=7
Current State: 79:[86, 7], Operations: ['22+64=86', '21/3=7']
Exploring Operation: 86-7=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
19,
97,
56,
51
] | 88 | [
"97*51=4947",
"4947-19=4928",
"4928/56=88"
] | Current State: 88:[19, 97, 56, 51], Operations: []
Exploring Operation: 97*51=4947, Resulting Numbers: [19, 56, 4947]
Generated Node #2: [19, 56, 4947] from Operation: 97*51=4947
Current State: 88:[19, 56, 4947], Operations: ['97*51=4947']
Exploring Operation: 4947-19=4928, Resulting Numbers: [56, 4928]
Generated Node #3: [56, 4928] from Operation: 4947-19=4928
Current State: 88:[56, 4928], Operations: ['97*51=4947', '4947-19=4928']
Exploring Operation: 4928/56=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
68,
10,
24,
38
] | 44 | [
"68-10=58",
"38-24=14",
"58-14=44"
] | Current State: 44:[68, 10, 24, 38], Operations: []
Exploring Operation: 68-10=58, Resulting Numbers: [24, 38, 58]
Generated Node #2: [24, 38, 58] from Operation: 68-10=58
Current State: 44:[24, 38, 58], Operations: ['68-10=58']
Exploring Operation: 38-24=14, Resulting Numbers: [58, 14]
Generated Node #3: [58, 14] from Operation: 38-24=14
Current State: 44:[58, 14], Operations: ['68-10=58', '38-24=14']
Exploring Operation: 58-14=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
96,
65,
87,
28
] | 28 | [
"96-65=31",
"87-28=59",
"59-31=28"
] | Current State: 28:[96, 65, 87, 28], Operations: []
Exploring Operation: 96-65=31, Resulting Numbers: [87, 28, 31]
Generated Node #2: [87, 28, 31] from Operation: 96-65=31
Current State: 28:[87, 28, 31], Operations: ['96-65=31']
Exploring Operation: 87-28=59, Resulting Numbers: [31, 59]
Generated Node #3: [31, 59] from Operation: 87-28=59
Current State: 28:[31, 59], Operations: ['96-65=31', '87-28=59']
Exploring Operation: 59-31=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
58,
1,
90,
80
] | 69 | [
"58+1=59",
"90-80=10",
"59+10=69"
] | Current State: 69:[58, 1, 90, 80], Operations: []
Exploring Operation: 58+1=59, Resulting Numbers: [90, 80, 59]
Generated Node #2: [90, 80, 59] from Operation: 58+1=59
Current State: 69:[90, 80, 59], Operations: ['58+1=59']
Exploring Operation: 90-80=10, Resulting Numbers: [59, 10]
Generated Node #3: [59, 10] from Operation: 90-80=10
Current State: 69:[59, 10], Operations: ['58+1=59', '90-80=10']
Exploring Operation: 59+10=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
18,
3,
90,
84
] | 90 | [
"18-3=15",
"90-84=6",
"15*6=90"
] | Current State: 90:[18, 3, 90, 84], Operations: []
Exploring Operation: 18-3=15, Resulting Numbers: [90, 84, 15]
Generated Node #2: [90, 84, 15] from Operation: 18-3=15
Current State: 90:[90, 84, 15], Operations: ['18-3=15']
Exploring Operation: 90-84=6, Resulting Numbers: [15, 6]
Generated Node #3: [15, 6] from Operation: 90-84=6
Current State: 90:[15, 6], Operations: ['18-3=15', '90-84=6']
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
95,
21,
77,
88
] | 85 | [
"95-21=74",
"88-77=11",
"74+11=85"
] | Current State: 85:[95, 21, 77, 88], Operations: []
Exploring Operation: 95-21=74, Resulting Numbers: [77, 88, 74]
Generated Node #2: [77, 88, 74] from Operation: 95-21=74
Current State: 85:[77, 88, 74], Operations: ['95-21=74']
Exploring Operation: 88-77=11, Resulting Numbers: [74, 11]
Generated Node #3: [74, 11] from Operation: 88-77=11
Current State: 85:[74, 11], Operations: ['95-21=74', '88-77=11']
Exploring Operation: 74+11=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
92,
68,
59,
67
] | 80 | [
"92*59=5428",
"5428-68=5360",
"5360/67=80"
] | Current State: 80:[92, 68, 59, 67], Operations: []
Exploring Operation: 92*59=5428, Resulting Numbers: [68, 67, 5428]
Generated Node #2: [68, 67, 5428] from Operation: 92*59=5428
Current State: 80:[68, 67, 5428], Operations: ['92*59=5428']
Exploring Operation: 5428-68=5360, Resulting Numbers: [67, 5360]
Generated Node #3: [67, 5360] from Operation: 5428-68=5360
Current State: 80:[67, 5360], Operations: ['92*59=5428', '5428-68=5360']
Exploring Operation: 5360/67=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
75,
9,
90,
67
] | 43 | [
"75-9=66",
"90-67=23",
"66-23=43"
] | Current State: 43:[75, 9, 90, 67], Operations: []
Exploring Operation: 75-9=66, Resulting Numbers: [90, 67, 66]
Generated Node #2: [90, 67, 66] from Operation: 75-9=66
Current State: 43:[90, 67, 66], Operations: ['75-9=66']
Exploring Operation: 90-67=23, Resulting Numbers: [66, 23]
Generated Node #3: [66, 23] from Operation: 90-67=23
Current State: 43:[66, 23], Operations: ['75-9=66', '90-67=23']
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
61,
77,
32,
83
] | 99 | [
"77-61=16",
"32+83=115",
"115-16=99"
] | Current State: 99:[61, 77, 32, 83], Operations: []
Exploring Operation: 77-61=16, Resulting Numbers: [32, 83, 16]
Generated Node #2: [32, 83, 16] from Operation: 77-61=16
Current State: 99:[32, 83, 16], Operations: ['77-61=16']
Exploring Operation: 32+83=115, Resulting Numbers: [16, 115]
Generated Node #3: [16, 115] from Operation: 32+83=115
Current State: 99:[16, 115], Operations: ['77-61=16', '32+83=115']
Exploring Operation: 115-16=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
30,
77,
3,
77
] | 93 | [
"77/77=1",
"30+1=31",
"3*31=93"
] | Current State: 93:[30, 77, 3, 77], Operations: []
Exploring Operation: 77/77=1, Resulting Numbers: [30, 3, 1]
Generated Node #2: [30, 3, 1] from Operation: 77/77=1
Current State: 93:[30, 3, 1], Operations: ['77/77=1']
Exploring Operation: 30+1=31, Resulting Numbers: [3, 31]
Generated Node #3: [3, 31] from Operation: 30+1=31
Current State: 93:[3, 31], Operations: ['77/77=1', '30+1=31']
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
47,
8,
2,
33
] | 30 | [
"47-33=14",
"8*2=16",
"14+16=30"
] | Current State: 30:[47, 8, 2, 33], Operations: []
Exploring Operation: 47-33=14, Resulting Numbers: [8, 2, 14]
Generated Node #2: [8, 2, 14] from Operation: 47-33=14
Current State: 30:[8, 2, 14], Operations: ['47-33=14']
Exploring Operation: 8*2=16, Resulting Numbers: [14, 16]
Generated Node #3: [14, 16] from Operation: 8*2=16
Current State: 30:[14, 16], Operations: ['47-33=14', '8*2=16']
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
75,
11,
25,
38
] | 81 | [
"75/25=3",
"38-11=27",
"3*27=81"
] | Current State: 81:[75, 11, 25, 38], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [11, 38, 3]
Generated Node #2: [11, 38, 3] from Operation: 75/25=3
Current State: 81:[11, 38, 3], Operations: ['75/25=3']
Exploring Operation: 38-11=27, Resulting Numbers: [3, 27]
Generated Node #3: [3, 27] from Operation: 38-11=27
Current State: 81:[3, 27], Operations: ['75/25=3', '38-11=27']
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
17,
12,
35,
83
] | 53 | [
"17-12=5",
"83-35=48",
"5+48=53"
] | Current State: 53:[17, 12, 35, 83], Operations: []
Exploring Operation: 17-12=5, Resulting Numbers: [35, 83, 5]
Generated Node #2: [35, 83, 5] from Operation: 17-12=5
Current State: 53:[35, 83, 5], Operations: ['17-12=5']
Exploring Operation: 83-35=48, Resulting Numbers: [5, 48]
Generated Node #3: [5, 48] from Operation: 83-35=48
Current State: 53:[5, 48], Operations: ['17-12=5', '83-35=48']
Exploring Operation: 5+48=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
46,
57,
86,
78
] | 88 | [
"57-46=11",
"86-78=8",
"11*8=88"
] | Current State: 88:[46, 57, 86, 78], Operations: []
Exploring Operation: 57-46=11, Resulting Numbers: [86, 78, 11]
Generated Node #2: [86, 78, 11] from Operation: 57-46=11
Current State: 88:[86, 78, 11], Operations: ['57-46=11']
Exploring Operation: 86-78=8, Resulting Numbers: [11, 8]
Generated Node #3: [11, 8] from Operation: 86-78=8
Current State: 88:[11, 8], Operations: ['57-46=11', '86-78=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
26,
70,
37,
29
] | 41 | [
"29-26=3",
"37*3=111",
"111-70=41"
] | Current State: 41:[26, 70, 37, 29], Operations: []
Exploring Operation: 29-26=3, Resulting Numbers: [70, 37, 3]
Generated Node #2: [70, 37, 3] from Operation: 29-26=3
Current State: 41:[70, 37, 3], Operations: ['29-26=3']
Exploring Operation: 37*3=111, Resulting Numbers: [70, 111]
Generated Node #3: [70, 111] from Operation: 37*3=111
Current State: 41:[70, 111], Operations: ['29-26=3', '37*3=111']
Exploring Operation: 111-70=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
25,
60,
46,
87
] | 92 | [
"25+60=85",
"87-85=2",
"46*2=92"
] | Current State: 92:[25, 60, 46, 87], Operations: []
Exploring Operation: 25+60=85, Resulting Numbers: [46, 87, 85]
Generated Node #2: [46, 87, 85] from Operation: 25+60=85
Current State: 92:[46, 87, 85], Operations: ['25+60=85']
Exploring Operation: 87-85=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 87-85=2
Current State: 92:[46, 2], Operations: ['25+60=85', '87-85=2']
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
50,
59,
2,
81
] | 88 | [
"59-50=9",
"81-2=79",
"9+79=88"
] | Current State: 88:[50, 59, 2, 81], Operations: []
Exploring Operation: 59-50=9, Resulting Numbers: [2, 81, 9]
Generated Node #2: [2, 81, 9] from Operation: 59-50=9
Current State: 88:[2, 81, 9], Operations: ['59-50=9']
Exploring Operation: 81-2=79, Resulting Numbers: [9, 79]
Generated Node #3: [9, 79] from Operation: 81-2=79
Current State: 88:[9, 79], Operations: ['59-50=9', '81-2=79']
Exploring Operation: 9+79=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
32,
31,
28,
64
] | 35 | [
"32-31=1",
"64-28=36",
"36-1=35"
] | Current State: 35:[32, 31, 28, 64], Operations: []
Exploring Operation: 32-31=1, Resulting Numbers: [28, 64, 1]
Generated Node #2: [28, 64, 1] from Operation: 32-31=1
Current State: 35:[28, 64, 1], Operations: ['32-31=1']
Exploring Operation: 64-28=36, Resulting Numbers: [1, 36]
Generated Node #3: [1, 36] from Operation: 64-28=36
Current State: 35:[1, 36], Operations: ['32-31=1', '64-28=36']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
54,
2,
57,
84
] | 84 | [
"54+2=56",
"57-56=1",
"84*1=84"
] | Current State: 84:[54, 2, 57, 84], Operations: []
Exploring Operation: 54+2=56, Resulting Numbers: [57, 84, 56]
Generated Node #2: [57, 84, 56] from Operation: 54+2=56
Current State: 84:[57, 84, 56], Operations: ['54+2=56']
Exploring Operation: 57-56=1, Resulting Numbers: [84, 1]
Generated Node #3: [84, 1] from Operation: 57-56=1
Current State: 84:[84, 1], Operations: ['54+2=56', '57-56=1']
Exploring Operation: 84*1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
55,
84,
85,
36
] | 91 | [
"55+36=91",
"85-84=1",
"91*1=91"
] | Current State: 91:[55, 84, 85, 36], Operations: []
Exploring Operation: 55+36=91, Resulting Numbers: [84, 85, 91]
Generated Node #2: [84, 85, 91] from Operation: 55+36=91
Current State: 91:[84, 85, 91], Operations: ['55+36=91']
Exploring Operation: 85-84=1, Resulting Numbers: [91, 1]
Generated Node #3: [91, 1] from Operation: 85-84=1
Current State: 91:[91, 1], Operations: ['55+36=91', '85-84=1']
Exploring Operation: 91*1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
13,
60,
36,
69
] | 81 | [
"69-60=9",
"13*9=117",
"117-36=81"
] | Current State: 81:[13, 60, 36, 69], Operations: []
Exploring Operation: 69-60=9, Resulting Numbers: [13, 36, 9]
Generated Node #2: [13, 36, 9] from Operation: 69-60=9
Current State: 81:[13, 36, 9], Operations: ['69-60=9']
Exploring Operation: 13*9=117, Resulting Numbers: [36, 117]
Generated Node #3: [36, 117] from Operation: 13*9=117
Current State: 81:[36, 117], Operations: ['69-60=9', '13*9=117']
Exploring Operation: 117-36=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
4,
95,
40,
74
] | 15 | [
"4+95=99",
"40+74=114",
"114-99=15"
] | Current State: 15:[4, 95, 40, 74], Operations: []
Exploring Operation: 4+95=99, Resulting Numbers: [40, 74, 99]
Generated Node #2: [40, 74, 99] from Operation: 4+95=99
Current State: 15:[40, 74, 99], Operations: ['4+95=99']
Exploring Operation: 40+74=114, Resulting Numbers: [99, 114]
Generated Node #3: [99, 114] from Operation: 40+74=114
Current State: 15:[99, 114], Operations: ['4+95=99', '40+74=114']
Exploring Operation: 114-99=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
67,
2,
81,
18
] | 89 | [
"67+18=85",
"2*85=170",
"170-81=89"
] | Current State: 89:[67, 2, 81, 18], Operations: []
Exploring Operation: 67+18=85, Resulting Numbers: [2, 81, 85]
Generated Node #2: [2, 81, 85] from Operation: 67+18=85
Current State: 89:[2, 81, 85], Operations: ['67+18=85']
Exploring Operation: 2*85=170, Resulting Numbers: [81, 170]
Generated Node #3: [81, 170] from Operation: 2*85=170
Current State: 89:[81, 170], Operations: ['67+18=85', '2*85=170']
Exploring Operation: 170-81=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
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