nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
78,
9,
56,
95
] | 64 | [
"78+9=87",
"56+95=151",
"151-87=64"
] | Current State: 64:[78, 9, 56, 95], Operations: []
Exploring Operation: 78+9=87, Resulting Numbers: [56, 95, 87]
Generated Node #2: [56, 95, 87] from Operation: 78+9=87
Current State: 64:[56, 95, 87], Operations: ['78+9=87']
Exploring Operation: 56+95=151, Resulting Numbers: [87, 151]
Generated Node #3: [87, 151] from Operation: 56+95=151
Current State: 64:[87, 151], Operations: ['78+9=87', '56+95=151']
Exploring Operation: 151-87=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
12,
26,
65,
47
] | 74 | [
"12+26=38",
"65+47=112",
"112-38=74"
] | Current State: 74:[12, 26, 65, 47], Operations: []
Exploring Operation: 12+26=38, Resulting Numbers: [65, 47, 38]
Generated Node #2: [65, 47, 38] from Operation: 12+26=38
Current State: 74:[65, 47, 38], Operations: ['12+26=38']
Exploring Operation: 65+47=112, Resulting Numbers: [38, 112]
Generated Node #3: [38, 112] from Operation: 65+47=112
Current State: 74:[38, 112], Operations: ['12+26=38', '65+47=112']
Exploring Operation: 112-38=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
30,
3,
24,
44
] | 70 | [
"30*3=90",
"44-24=20",
"90-20=70"
] | Current State: 70:[30, 3, 24, 44], Operations: []
Exploring Operation: 30*3=90, Resulting Numbers: [24, 44, 90]
Generated Node #2: [24, 44, 90] from Operation: 30*3=90
Current State: 70:[24, 44, 90], Operations: ['30*3=90']
Exploring Operation: 44-24=20, Resulting Numbers: [90, 20]
Generated Node #3: [90, 20] from Operation: 44-24=20
Current State: 70:[90, 20], Operations: ['30*3=90', '44-24=20']
Exploring Operation: 90-20=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
11,
86,
2,
64
] | 97 | [
"11+64=75",
"86*2=172",
"172-75=97"
] | Current State: 97:[11, 86, 2, 64], Operations: []
Exploring Operation: 11+64=75, Resulting Numbers: [86, 2, 75]
Generated Node #2: [86, 2, 75] from Operation: 11+64=75
Current State: 97:[86, 2, 75], Operations: ['11+64=75']
Exploring Operation: 86*2=172, Resulting Numbers: [75, 172]
Generated Node #3: [75, 172] from Operation: 86*2=172
Current State: 97:[75, 172], Operations: ['11+64=75', '86*2=172']
Exploring Operation: 172-75=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
73,
11,
23,
70
] | 15 | [
"73-11=62",
"70-23=47",
"62-47=15"
] | Current State: 15:[73, 11, 23, 70], Operations: []
Exploring Operation: 73-11=62, Resulting Numbers: [23, 70, 62]
Generated Node #2: [23, 70, 62] from Operation: 73-11=62
Current State: 15:[23, 70, 62], Operations: ['73-11=62']
Exploring Operation: 70-23=47, Resulting Numbers: [62, 47]
Generated Node #3: [62, 47] from Operation: 70-23=47
Current State: 15:[62, 47], Operations: ['73-11=62', '70-23=47']
Exploring Operation: 62-47=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
35,
61,
75,
85
] | 34 | [
"75-61=14",
"85*14=1190",
"1190/35=34"
] | Current State: 34:[35, 61, 75, 85], Operations: []
Exploring Operation: 75-61=14, Resulting Numbers: [35, 85, 14]
Generated Node #2: [35, 85, 14] from Operation: 75-61=14
Current State: 34:[35, 85, 14], Operations: ['75-61=14']
Exploring Operation: 85*14=1190, Resulting Numbers: [35, 1190]
Generated Node #3: [35, 1190] from Operation: 85*14=1190
Current State: 34:[35, 1190], Operations: ['75-61=14', '85*14=1190']
Exploring Operation: 1190/35=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
92,
45,
86,
36
] | 87 | [
"92+45=137",
"86-36=50",
"137-50=87"
] | Current State: 87:[92, 45, 86, 36], Operations: []
Exploring Operation: 92+45=137, Resulting Numbers: [86, 36, 137]
Generated Node #2: [86, 36, 137] from Operation: 92+45=137
Current State: 87:[86, 36, 137], Operations: ['92+45=137']
Exploring Operation: 86-36=50, Resulting Numbers: [137, 50]
Generated Node #3: [137, 50] from Operation: 86-36=50
Current State: 87:[137, 50], Operations: ['92+45=137', '86-36=50']
Exploring Operation: 137-50=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
96,
83,
58,
34
] | 37 | [
"96-83=13",
"58-34=24",
"13+24=37"
] | Current State: 37:[96, 83, 58, 34], Operations: []
Exploring Operation: 96-83=13, Resulting Numbers: [58, 34, 13]
Generated Node #2: [58, 34, 13] from Operation: 96-83=13
Current State: 37:[58, 34, 13], Operations: ['96-83=13']
Exploring Operation: 58-34=24, Resulting Numbers: [13, 24]
Generated Node #3: [13, 24] from Operation: 58-34=24
Current State: 37:[13, 24], Operations: ['96-83=13', '58-34=24']
Exploring Operation: 13+24=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
85,
34,
88,
68
] | 86 | [
"85-68=17",
"34/17=2",
"88-2=86"
] | Current State: 86:[85, 34, 88, 68], Operations: []
Exploring Operation: 85-68=17, Resulting Numbers: [34, 88, 17]
Generated Node #2: [34, 88, 17] from Operation: 85-68=17
Current State: 86:[34, 88, 17], Operations: ['85-68=17']
Exploring Operation: 34/17=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 34/17=2
Current State: 86:[88, 2], Operations: ['85-68=17', '34/17=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
3,
39,
7,
72
] | 29 | [
"39-3=36",
"72-7=65",
"65-36=29"
] | Current State: 29:[3, 39, 7, 72], Operations: []
Exploring Operation: 39-3=36, Resulting Numbers: [7, 72, 36]
Generated Node #2: [7, 72, 36] from Operation: 39-3=36
Current State: 29:[7, 72, 36], Operations: ['39-3=36']
Exploring Operation: 72-7=65, Resulting Numbers: [36, 65]
Generated Node #3: [36, 65] from Operation: 72-7=65
Current State: 29:[36, 65], Operations: ['39-3=36', '72-7=65']
Exploring Operation: 65-36=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
78,
92,
79,
26
] | 76 | [
"92-79=13",
"26/13=2",
"78-2=76"
] | Current State: 76:[78, 92, 79, 26], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [78, 26, 13]
Generated Node #2: [78, 26, 13] from Operation: 92-79=13
Current State: 76:[78, 26, 13], Operations: ['92-79=13']
Exploring Operation: 26/13=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 26/13=2
Current State: 76:[78, 2], Operations: ['92-79=13', '26/13=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
23,
35,
8,
13
] | 80 | [
"13-8=5",
"23*5=115",
"115-35=80"
] | Current State: 80:[23, 35, 8, 13], Operations: []
Exploring Operation: 13-8=5, Resulting Numbers: [23, 35, 5]
Generated Node #2: [23, 35, 5] from Operation: 13-8=5
Current State: 80:[23, 35, 5], Operations: ['13-8=5']
Exploring Operation: 23*5=115, Resulting Numbers: [35, 115]
Generated Node #3: [35, 115] from Operation: 23*5=115
Current State: 80:[35, 115], Operations: ['13-8=5', '23*5=115']
Exploring Operation: 115-35=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
74,
72,
29,
80
] | 17 | [
"80-74=6",
"72/6=12",
"29-12=17"
] | Current State: 17:[74, 72, 29, 80], Operations: []
Exploring Operation: 80-74=6, Resulting Numbers: [72, 29, 6]
Generated Node #2: [72, 29, 6] from Operation: 80-74=6
Current State: 17:[72, 29, 6], Operations: ['80-74=6']
Exploring Operation: 72/6=12, Resulting Numbers: [29, 12]
Generated Node #3: [29, 12] from Operation: 72/6=12
Current State: 17:[29, 12], Operations: ['80-74=6', '72/6=12']
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
99,
34,
55,
72
] | 74 | [
"55*72=3960",
"3960/99=40",
"34+40=74"
] | Current State: 74:[99, 34, 55, 72], Operations: []
Exploring Operation: 55*72=3960, Resulting Numbers: [99, 34, 3960]
Generated Node #2: [99, 34, 3960] from Operation: 55*72=3960
Current State: 74:[99, 34, 3960], Operations: ['55*72=3960']
Exploring Operation: 3960/99=40, Resulting Numbers: [34, 40]
Generated Node #3: [34, 40] from Operation: 3960/99=40
Current State: 74:[34, 40], Operations: ['55*72=3960', '3960/99=40']
Exploring Operation: 34+40=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
75,
2,
40,
60
] | 85 | [
"75+40=115",
"60/2=30",
"115-30=85"
] | Current State: 85:[75, 2, 40, 60], Operations: []
Exploring Operation: 75+40=115, Resulting Numbers: [2, 60, 115]
Generated Node #2: [2, 60, 115] from Operation: 75+40=115
Current State: 85:[2, 60, 115], Operations: ['75+40=115']
Exploring Operation: 60/2=30, Resulting Numbers: [115, 30]
Generated Node #3: [115, 30] from Operation: 60/2=30
Current State: 85:[115, 30], Operations: ['75+40=115', '60/2=30']
Exploring Operation: 115-30=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
83,
69,
99,
21
] | 66 | [
"83-69=14",
"99*14=1386",
"1386/21=66"
] | Current State: 66:[83, 69, 99, 21], Operations: []
Exploring Operation: 83-69=14, Resulting Numbers: [99, 21, 14]
Generated Node #2: [99, 21, 14] from Operation: 83-69=14
Current State: 66:[99, 21, 14], Operations: ['83-69=14']
Exploring Operation: 99*14=1386, Resulting Numbers: [21, 1386]
Generated Node #3: [21, 1386] from Operation: 99*14=1386
Current State: 66:[21, 1386], Operations: ['83-69=14', '99*14=1386']
Exploring Operation: 1386/21=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
19,
46,
17,
88
] | 90 | [
"19-17=2",
"88/2=44",
"46+44=90"
] | Current State: 90:[19, 46, 17, 88], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [46, 88, 2]
Generated Node #2: [46, 88, 2] from Operation: 19-17=2
Current State: 90:[46, 88, 2], Operations: ['19-17=2']
Exploring Operation: 88/2=44, Resulting Numbers: [46, 44]
Generated Node #3: [46, 44] from Operation: 88/2=44
Current State: 90:[46, 44], Operations: ['19-17=2', '88/2=44']
Exploring Operation: 46+44=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
64,
88,
5,
55
] | 26 | [
"88-64=24",
"55-5=50",
"50-24=26"
] | Current State: 26:[64, 88, 5, 55], Operations: []
Exploring Operation: 88-64=24, Resulting Numbers: [5, 55, 24]
Generated Node #2: [5, 55, 24] from Operation: 88-64=24
Current State: 26:[5, 55, 24], Operations: ['88-64=24']
Exploring Operation: 55-5=50, Resulting Numbers: [24, 50]
Generated Node #3: [24, 50] from Operation: 55-5=50
Current State: 26:[24, 50], Operations: ['88-64=24', '55-5=50']
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
68,
22,
5,
3
] | 38 | [
"68-22=46",
"5+3=8",
"46-8=38"
] | Current State: 38:[68, 22, 5, 3], Operations: []
Exploring Operation: 68-22=46, Resulting Numbers: [5, 3, 46]
Generated Node #2: [5, 3, 46] from Operation: 68-22=46
Current State: 38:[5, 3, 46], Operations: ['68-22=46']
Exploring Operation: 5+3=8, Resulting Numbers: [46, 8]
Generated Node #3: [46, 8] from Operation: 5+3=8
Current State: 38:[46, 8], Operations: ['68-22=46', '5+3=8']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
41,
76,
32,
82
] | 88 | [
"82/41=2",
"76-32=44",
"2*44=88"
] | Current State: 88:[41, 76, 32, 82], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [76, 32, 2]
Generated Node #2: [76, 32, 2] from Operation: 82/41=2
Current State: 88:[76, 32, 2], Operations: ['82/41=2']
Exploring Operation: 76-32=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 76-32=44
Current State: 88:[2, 44], Operations: ['82/41=2', '76-32=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
61,
89,
48,
29
] | 35 | [
"61*29=1769",
"1769-89=1680",
"1680/48=35"
] | Current State: 35:[61, 89, 48, 29], Operations: []
Exploring Operation: 61*29=1769, Resulting Numbers: [89, 48, 1769]
Generated Node #2: [89, 48, 1769] from Operation: 61*29=1769
Current State: 35:[89, 48, 1769], Operations: ['61*29=1769']
Exploring Operation: 1769-89=1680, Resulting Numbers: [48, 1680]
Generated Node #3: [48, 1680] from Operation: 1769-89=1680
Current State: 35:[48, 1680], Operations: ['61*29=1769', '1769-89=1680']
Exploring Operation: 1680/48=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
40,
62,
13,
26
] | 51 | [
"40+62=102",
"26/13=2",
"102/2=51"
] | Current State: 51:[40, 62, 13, 26], Operations: []
Exploring Operation: 40+62=102, Resulting Numbers: [13, 26, 102]
Generated Node #2: [13, 26, 102] from Operation: 40+62=102
Current State: 51:[13, 26, 102], Operations: ['40+62=102']
Exploring Operation: 26/13=2, Resulting Numbers: [102, 2]
Generated Node #3: [102, 2] from Operation: 26/13=2
Current State: 51:[102, 2], Operations: ['40+62=102', '26/13=2']
Exploring Operation: 102/2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
46,
57,
43,
29
] | 23 | [
"46*43=1978",
"57+29=86",
"1978/86=23"
] | Current State: 23:[46, 57, 43, 29], Operations: []
Exploring Operation: 46*43=1978, Resulting Numbers: [57, 29, 1978]
Generated Node #2: [57, 29, 1978] from Operation: 46*43=1978
Current State: 23:[57, 29, 1978], Operations: ['46*43=1978']
Exploring Operation: 57+29=86, Resulting Numbers: [1978, 86]
Generated Node #3: [1978, 86] from Operation: 57+29=86
Current State: 23:[1978, 86], Operations: ['46*43=1978', '57+29=86']
Exploring Operation: 1978/86=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
24,
4,
36,
12
] | 93 | [
"24*4=96",
"36/12=3",
"96-3=93"
] | Current State: 93:[24, 4, 36, 12], Operations: []
Exploring Operation: 24*4=96, Resulting Numbers: [36, 12, 96]
Generated Node #2: [36, 12, 96] from Operation: 24*4=96
Current State: 93:[36, 12, 96], Operations: ['24*4=96']
Exploring Operation: 36/12=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 36/12=3
Current State: 93:[96, 3], Operations: ['24*4=96', '36/12=3']
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
45,
41,
45,
7
] | 47 | [
"45/45=1",
"41+7=48",
"48-1=47"
] | Current State: 47:[45, 41, 45, 7], Operations: []
Exploring Operation: 45/45=1, Resulting Numbers: [41, 7, 1]
Generated Node #2: [41, 7, 1] from Operation: 45/45=1
Current State: 47:[41, 7, 1], Operations: ['45/45=1']
Exploring Operation: 41+7=48, Resulting Numbers: [1, 48]
Generated Node #3: [1, 48] from Operation: 41+7=48
Current State: 47:[1, 48], Operations: ['45/45=1', '41+7=48']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
9,
36,
25,
49
] | 51 | [
"36-9=27",
"49-25=24",
"27+24=51"
] | Current State: 51:[9, 36, 25, 49], Operations: []
Exploring Operation: 36-9=27, Resulting Numbers: [25, 49, 27]
Generated Node #2: [25, 49, 27] from Operation: 36-9=27
Current State: 51:[25, 49, 27], Operations: ['36-9=27']
Exploring Operation: 49-25=24, Resulting Numbers: [27, 24]
Generated Node #3: [27, 24] from Operation: 49-25=24
Current State: 51:[27, 24], Operations: ['36-9=27', '49-25=24']
Exploring Operation: 27+24=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
6,
14,
14,
86
] | 81 | [
"86-6=80",
"14/14=1",
"80+1=81"
] | Current State: 81:[6, 14, 14, 86], Operations: []
Exploring Operation: 86-6=80, Resulting Numbers: [14, 14, 80]
Generated Node #2: [14, 14, 80] from Operation: 86-6=80
Current State: 81:[14, 14, 80], Operations: ['86-6=80']
Exploring Operation: 14/14=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 14/14=1
Current State: 81:[80, 1], Operations: ['86-6=80', '14/14=1']
Exploring Operation: 80+1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
40,
69,
7,
51
] | 87 | [
"69-40=29",
"7+51=58",
"29+58=87"
] | Current State: 87:[40, 69, 7, 51], Operations: []
Exploring Operation: 69-40=29, Resulting Numbers: [7, 51, 29]
Generated Node #2: [7, 51, 29] from Operation: 69-40=29
Current State: 87:[7, 51, 29], Operations: ['69-40=29']
Exploring Operation: 7+51=58, Resulting Numbers: [29, 58]
Generated Node #3: [29, 58] from Operation: 7+51=58
Current State: 87:[29, 58], Operations: ['69-40=29', '7+51=58']
Exploring Operation: 29+58=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
88,
7,
96,
6
] | 65 | [
"88-7=81",
"96/6=16",
"81-16=65"
] | Current State: 65:[88, 7, 96, 6], Operations: []
Exploring Operation: 88-7=81, Resulting Numbers: [96, 6, 81]
Generated Node #2: [96, 6, 81] from Operation: 88-7=81
Current State: 65:[96, 6, 81], Operations: ['88-7=81']
Exploring Operation: 96/6=16, Resulting Numbers: [81, 16]
Generated Node #3: [81, 16] from Operation: 96/6=16
Current State: 65:[81, 16], Operations: ['88-7=81', '96/6=16']
Exploring Operation: 81-16=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
80,
84,
59,
50
] | 13 | [
"84-80=4",
"59-50=9",
"4+9=13"
] | Current State: 13:[80, 84, 59, 50], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [59, 50, 4]
Generated Node #2: [59, 50, 4] from Operation: 84-80=4
Current State: 13:[59, 50, 4], Operations: ['84-80=4']
Exploring Operation: 59-50=9, Resulting Numbers: [4, 9]
Generated Node #3: [4, 9] from Operation: 59-50=9
Current State: 13:[4, 9], Operations: ['84-80=4', '59-50=9']
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
72,
87,
81,
2
] | 21 | [
"72+81=153",
"87*2=174",
"174-153=21"
] | Current State: 21:[72, 87, 81, 2], Operations: []
Exploring Operation: 72+81=153, Resulting Numbers: [87, 2, 153]
Generated Node #2: [87, 2, 153] from Operation: 72+81=153
Current State: 21:[87, 2, 153], Operations: ['72+81=153']
Exploring Operation: 87*2=174, Resulting Numbers: [153, 174]
Generated Node #3: [153, 174] from Operation: 87*2=174
Current State: 21:[153, 174], Operations: ['72+81=153', '87*2=174']
Exploring Operation: 174-153=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
85,
57,
85,
52
] | 52 | [
"85-85=0",
"57*0=0",
"52+0=52"
] | Current State: 52:[85, 57, 85, 52], Operations: []
Exploring Operation: 85-85=0, Resulting Numbers: [57, 52, 0]
Generated Node #2: [57, 52, 0] from Operation: 85-85=0
Current State: 52:[57, 52, 0], Operations: ['85-85=0']
Exploring Operation: 57*0=0, Resulting Numbers: [52, 0]
Generated Node #3: [52, 0] from Operation: 57*0=0
Current State: 52:[52, 0], Operations: ['85-85=0', '57*0=0']
Exploring Operation: 52+0=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
1,
86,
5,
63
] | 92 | [
"5-1=4",
"86-63=23",
"4*23=92"
] | Current State: 92:[1, 86, 5, 63], Operations: []
Exploring Operation: 5-1=4, Resulting Numbers: [86, 63, 4]
Generated Node #2: [86, 63, 4] from Operation: 5-1=4
Current State: 92:[86, 63, 4], Operations: ['5-1=4']
Exploring Operation: 86-63=23, Resulting Numbers: [4, 23]
Generated Node #3: [4, 23] from Operation: 86-63=23
Current State: 92:[4, 23], Operations: ['5-1=4', '86-63=23']
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
36,
50,
48,
28
] | 92 | [
"50-48=2",
"28*2=56",
"36+56=92"
] | Current State: 92:[36, 50, 48, 28], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [36, 28, 2]
Generated Node #2: [36, 28, 2] from Operation: 50-48=2
Current State: 92:[36, 28, 2], Operations: ['50-48=2']
Exploring Operation: 28*2=56, Resulting Numbers: [36, 56]
Generated Node #3: [36, 56] from Operation: 28*2=56
Current State: 92:[36, 56], Operations: ['50-48=2', '28*2=56']
Exploring Operation: 36+56=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
28,
22,
2,
20
] | 59 | [
"28+20=48",
"22/2=11",
"48+11=59"
] | Current State: 59:[28, 22, 2, 20], Operations: []
Exploring Operation: 28+20=48, Resulting Numbers: [22, 2, 48]
Generated Node #2: [22, 2, 48] from Operation: 28+20=48
Current State: 59:[22, 2, 48], Operations: ['28+20=48']
Exploring Operation: 22/2=11, Resulting Numbers: [48, 11]
Generated Node #3: [48, 11] from Operation: 22/2=11
Current State: 59:[48, 11], Operations: ['28+20=48', '22/2=11']
Exploring Operation: 48+11=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
89,
71,
67,
63
] | 91 | [
"71+63=134",
"134/67=2",
"89+2=91"
] | Current State: 91:[89, 71, 67, 63], Operations: []
Exploring Operation: 71+63=134, Resulting Numbers: [89, 67, 134]
Generated Node #2: [89, 67, 134] from Operation: 71+63=134
Current State: 91:[89, 67, 134], Operations: ['71+63=134']
Exploring Operation: 134/67=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 134/67=2
Current State: 91:[89, 2], Operations: ['71+63=134', '134/67=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
68,
65,
74,
90
] | 80 | [
"74-68=6",
"90/6=15",
"65+15=80"
] | Current State: 80:[68, 65, 74, 90], Operations: []
Exploring Operation: 74-68=6, Resulting Numbers: [65, 90, 6]
Generated Node #2: [65, 90, 6] from Operation: 74-68=6
Current State: 80:[65, 90, 6], Operations: ['74-68=6']
Exploring Operation: 90/6=15, Resulting Numbers: [65, 15]
Generated Node #3: [65, 15] from Operation: 90/6=15
Current State: 80:[65, 15], Operations: ['74-68=6', '90/6=15']
Exploring Operation: 65+15=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
2,
20,
29,
62
] | 51 | [
"2*20=40",
"29+62=91",
"91-40=51"
] | Current State: 51:[2, 20, 29, 62], Operations: []
Exploring Operation: 2*20=40, Resulting Numbers: [29, 62, 40]
Generated Node #2: [29, 62, 40] from Operation: 2*20=40
Current State: 51:[29, 62, 40], Operations: ['2*20=40']
Exploring Operation: 29+62=91, Resulting Numbers: [40, 91]
Generated Node #3: [40, 91] from Operation: 29+62=91
Current State: 51:[40, 91], Operations: ['2*20=40', '29+62=91']
Exploring Operation: 91-40=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
35,
78,
24,
97
] | 19 | [
"78+97=175",
"175/35=5",
"24-5=19"
] | Current State: 19:[35, 78, 24, 97], Operations: []
Exploring Operation: 78+97=175, Resulting Numbers: [35, 24, 175]
Generated Node #2: [35, 24, 175] from Operation: 78+97=175
Current State: 19:[35, 24, 175], Operations: ['78+97=175']
Exploring Operation: 175/35=5, Resulting Numbers: [24, 5]
Generated Node #3: [24, 5] from Operation: 175/35=5
Current State: 19:[24, 5], Operations: ['78+97=175', '175/35=5']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
4,
19,
10,
67
] | 31 | [
"19-10=9",
"4*9=36",
"67-36=31"
] | Current State: 31:[4, 19, 10, 67], Operations: []
Exploring Operation: 19-10=9, Resulting Numbers: [4, 67, 9]
Generated Node #2: [4, 67, 9] from Operation: 19-10=9
Current State: 31:[4, 67, 9], Operations: ['19-10=9']
Exploring Operation: 4*9=36, Resulting Numbers: [67, 36]
Generated Node #3: [67, 36] from Operation: 4*9=36
Current State: 31:[67, 36], Operations: ['19-10=9', '4*9=36']
Exploring Operation: 67-36=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
51,
51,
14,
54
] | 41 | [
"51/51=1",
"54-14=40",
"1+40=41"
] | Current State: 41:[51, 51, 14, 54], Operations: []
Exploring Operation: 51/51=1, Resulting Numbers: [14, 54, 1]
Generated Node #2: [14, 54, 1] from Operation: 51/51=1
Current State: 41:[14, 54, 1], Operations: ['51/51=1']
Exploring Operation: 54-14=40, Resulting Numbers: [1, 40]
Generated Node #3: [1, 40] from Operation: 54-14=40
Current State: 41:[1, 40], Operations: ['51/51=1', '54-14=40']
Exploring Operation: 1+40=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
69,
2,
47,
3
] | 31 | [
"47+3=50",
"2*50=100",
"100-69=31"
] | Current State: 31:[69, 2, 47, 3], Operations: []
Exploring Operation: 47+3=50, Resulting Numbers: [69, 2, 50]
Generated Node #2: [69, 2, 50] from Operation: 47+3=50
Current State: 31:[69, 2, 50], Operations: ['47+3=50']
Exploring Operation: 2*50=100, Resulting Numbers: [69, 100]
Generated Node #3: [69, 100] from Operation: 2*50=100
Current State: 31:[69, 100], Operations: ['47+3=50', '2*50=100']
Exploring Operation: 100-69=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
99,
76,
92,
64
] | 16 | [
"99-76=23",
"92/23=4",
"64/4=16"
] | Current State: 16:[99, 76, 92, 64], Operations: []
Exploring Operation: 99-76=23, Resulting Numbers: [92, 64, 23]
Generated Node #2: [92, 64, 23] from Operation: 99-76=23
Current State: 16:[92, 64, 23], Operations: ['99-76=23']
Exploring Operation: 92/23=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 92/23=4
Current State: 16:[64, 4], Operations: ['99-76=23', '92/23=4']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
76,
68,
22,
80
] | 50 | [
"76-68=8",
"80-22=58",
"58-8=50"
] | Current State: 50:[76, 68, 22, 80], Operations: []
Exploring Operation: 76-68=8, Resulting Numbers: [22, 80, 8]
Generated Node #2: [22, 80, 8] from Operation: 76-68=8
Current State: 50:[22, 80, 8], Operations: ['76-68=8']
Exploring Operation: 80-22=58, Resulting Numbers: [8, 58]
Generated Node #3: [8, 58] from Operation: 80-22=58
Current State: 50:[8, 58], Operations: ['76-68=8', '80-22=58']
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
80,
16,
4,
76
] | 24 | [
"80+16=96",
"76-4=72",
"96-72=24"
] | Current State: 24:[80, 16, 4, 76], Operations: []
Exploring Operation: 80+16=96, Resulting Numbers: [4, 76, 96]
Generated Node #2: [4, 76, 96] from Operation: 80+16=96
Current State: 24:[4, 76, 96], Operations: ['80+16=96']
Exploring Operation: 76-4=72, Resulting Numbers: [96, 72]
Generated Node #3: [96, 72] from Operation: 76-4=72
Current State: 24:[96, 72], Operations: ['80+16=96', '76-4=72']
Exploring Operation: 96-72=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
44,
55,
11,
50
] | 99 | [
"44+50=94",
"55/11=5",
"94+5=99"
] | Current State: 99:[44, 55, 11, 50], Operations: []
Exploring Operation: 44+50=94, Resulting Numbers: [55, 11, 94]
Generated Node #2: [55, 11, 94] from Operation: 44+50=94
Current State: 99:[55, 11, 94], Operations: ['44+50=94']
Exploring Operation: 55/11=5, Resulting Numbers: [94, 5]
Generated Node #3: [94, 5] from Operation: 55/11=5
Current State: 99:[94, 5], Operations: ['44+50=94', '55/11=5']
Exploring Operation: 94+5=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
15,
19,
98,
73
] | 100 | [
"19-15=4",
"98-73=25",
"4*25=100"
] | Current State: 100:[15, 19, 98, 73], Operations: []
Exploring Operation: 19-15=4, Resulting Numbers: [98, 73, 4]
Generated Node #2: [98, 73, 4] from Operation: 19-15=4
Current State: 100:[98, 73, 4], Operations: ['19-15=4']
Exploring Operation: 98-73=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 98-73=25
Current State: 100:[4, 25], Operations: ['19-15=4', '98-73=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
68,
88,
76,
24
] | 70 | [
"88-76=12",
"24/12=2",
"68+2=70"
] | Current State: 70:[68, 88, 76, 24], Operations: []
Exploring Operation: 88-76=12, Resulting Numbers: [68, 24, 12]
Generated Node #2: [68, 24, 12] from Operation: 88-76=12
Current State: 70:[68, 24, 12], Operations: ['88-76=12']
Exploring Operation: 24/12=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 24/12=2
Current State: 70:[68, 2], Operations: ['88-76=12', '24/12=2']
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
79,
41,
96,
3
] | 92 | [
"96-79=17",
"3*17=51",
"41+51=92"
] | Current State: 92:[79, 41, 96, 3], Operations: []
Exploring Operation: 96-79=17, Resulting Numbers: [41, 3, 17]
Generated Node #2: [41, 3, 17] from Operation: 96-79=17
Current State: 92:[41, 3, 17], Operations: ['96-79=17']
Exploring Operation: 3*17=51, Resulting Numbers: [41, 51]
Generated Node #3: [41, 51] from Operation: 3*17=51
Current State: 92:[41, 51], Operations: ['96-79=17', '3*17=51']
Exploring Operation: 41+51=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
13,
91,
14,
41
] | 77 | [
"13+91=104",
"41-14=27",
"104-27=77"
] | Current State: 77:[13, 91, 14, 41], Operations: []
Exploring Operation: 13+91=104, Resulting Numbers: [14, 41, 104]
Generated Node #2: [14, 41, 104] from Operation: 13+91=104
Current State: 77:[14, 41, 104], Operations: ['13+91=104']
Exploring Operation: 41-14=27, Resulting Numbers: [104, 27]
Generated Node #3: [104, 27] from Operation: 41-14=27
Current State: 77:[104, 27], Operations: ['13+91=104', '41-14=27']
Exploring Operation: 104-27=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
82,
2,
21,
77
] | 54 | [
"77-21=56",
"56/2=28",
"82-28=54"
] | Current State: 54:[82, 2, 21, 77], Operations: []
Exploring Operation: 77-21=56, Resulting Numbers: [82, 2, 56]
Generated Node #2: [82, 2, 56] from Operation: 77-21=56
Current State: 54:[82, 2, 56], Operations: ['77-21=56']
Exploring Operation: 56/2=28, Resulting Numbers: [82, 28]
Generated Node #3: [82, 28] from Operation: 56/2=28
Current State: 54:[82, 28], Operations: ['77-21=56', '56/2=28']
Exploring Operation: 82-28=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
36,
9,
6,
14
] | 27 | [
"36+6=42",
"9*42=378",
"378/14=27"
] | Current State: 27:[36, 9, 6, 14], Operations: []
Exploring Operation: 36+6=42, Resulting Numbers: [9, 14, 42]
Generated Node #2: [9, 14, 42] from Operation: 36+6=42
Current State: 27:[9, 14, 42], Operations: ['36+6=42']
Exploring Operation: 9*42=378, Resulting Numbers: [14, 378]
Generated Node #3: [14, 378] from Operation: 9*42=378
Current State: 27:[14, 378], Operations: ['36+6=42', '9*42=378']
Exploring Operation: 378/14=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
68,
62,
55,
14
] | 89 | [
"68+62=130",
"55-14=41",
"130-41=89"
] | Current State: 89:[68, 62, 55, 14], Operations: []
Exploring Operation: 68+62=130, Resulting Numbers: [55, 14, 130]
Generated Node #2: [55, 14, 130] from Operation: 68+62=130
Current State: 89:[55, 14, 130], Operations: ['68+62=130']
Exploring Operation: 55-14=41, Resulting Numbers: [130, 41]
Generated Node #3: [130, 41] from Operation: 55-14=41
Current State: 89:[130, 41], Operations: ['68+62=130', '55-14=41']
Exploring Operation: 130-41=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
15,
67,
78,
9
] | 74 | [
"78-15=63",
"63/9=7",
"67+7=74"
] | Current State: 74:[15, 67, 78, 9], Operations: []
Exploring Operation: 78-15=63, Resulting Numbers: [67, 9, 63]
Generated Node #2: [67, 9, 63] from Operation: 78-15=63
Current State: 74:[67, 9, 63], Operations: ['78-15=63']
Exploring Operation: 63/9=7, Resulting Numbers: [67, 7]
Generated Node #3: [67, 7] from Operation: 63/9=7
Current State: 74:[67, 7], Operations: ['78-15=63', '63/9=7']
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
81,
22,
99,
55
] | 23 | [
"81*55=4455",
"4455/99=45",
"45-22=23"
] | Current State: 23:[81, 22, 99, 55], Operations: []
Exploring Operation: 81*55=4455, Resulting Numbers: [22, 99, 4455]
Generated Node #2: [22, 99, 4455] from Operation: 81*55=4455
Current State: 23:[22, 99, 4455], Operations: ['81*55=4455']
Exploring Operation: 4455/99=45, Resulting Numbers: [22, 45]
Generated Node #3: [22, 45] from Operation: 4455/99=45
Current State: 23:[22, 45], Operations: ['81*55=4455', '4455/99=45']
Exploring Operation: 45-22=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
26,
40,
22,
7
] | 60 | [
"26+7=33",
"40*33=1320",
"1320/22=60"
] | Current State: 60:[26, 40, 22, 7], Operations: []
Exploring Operation: 26+7=33, Resulting Numbers: [40, 22, 33]
Generated Node #2: [40, 22, 33] from Operation: 26+7=33
Current State: 60:[40, 22, 33], Operations: ['26+7=33']
Exploring Operation: 40*33=1320, Resulting Numbers: [22, 1320]
Generated Node #3: [22, 1320] from Operation: 40*33=1320
Current State: 60:[22, 1320], Operations: ['26+7=33', '40*33=1320']
Exploring Operation: 1320/22=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
31,
23,
9,
10
] | 53 | [
"31+23=54",
"10-9=1",
"54-1=53"
] | Current State: 53:[31, 23, 9, 10], Operations: []
Exploring Operation: 31+23=54, Resulting Numbers: [9, 10, 54]
Generated Node #2: [9, 10, 54] from Operation: 31+23=54
Current State: 53:[9, 10, 54], Operations: ['31+23=54']
Exploring Operation: 10-9=1, Resulting Numbers: [54, 1]
Generated Node #3: [54, 1] from Operation: 10-9=1
Current State: 53:[54, 1], Operations: ['31+23=54', '10-9=1']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
19,
2,
98,
15
] | 25 | [
"19-15=4",
"2+98=100",
"100/4=25"
] | Current State: 25:[19, 2, 98, 15], Operations: []
Exploring Operation: 19-15=4, Resulting Numbers: [2, 98, 4]
Generated Node #2: [2, 98, 4] from Operation: 19-15=4
Current State: 25:[2, 98, 4], Operations: ['19-15=4']
Exploring Operation: 2+98=100, Resulting Numbers: [4, 100]
Generated Node #3: [4, 100] from Operation: 2+98=100
Current State: 25:[4, 100], Operations: ['19-15=4', '2+98=100']
Exploring Operation: 100/4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
82,
73,
78,
34
] | 53 | [
"82-73=9",
"78-34=44",
"9+44=53"
] | Current State: 53:[82, 73, 78, 34], Operations: []
Exploring Operation: 82-73=9, Resulting Numbers: [78, 34, 9]
Generated Node #2: [78, 34, 9] from Operation: 82-73=9
Current State: 53:[78, 34, 9], Operations: ['82-73=9']
Exploring Operation: 78-34=44, Resulting Numbers: [9, 44]
Generated Node #3: [9, 44] from Operation: 78-34=44
Current State: 53:[9, 44], Operations: ['82-73=9', '78-34=44']
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
52,
42,
55,
3
] | 11 | [
"55-52=3",
"42/3=14",
"14-3=11"
] | Current State: 11:[52, 42, 55, 3], Operations: []
Exploring Operation: 55-52=3, Resulting Numbers: [42, 3, 3]
Generated Node #2: [42, 3, 3] from Operation: 55-52=3
Current State: 11:[42, 3, 3], Operations: ['55-52=3']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,11 equal: Goal Reached
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
22,
44,
6,
34
] | 74 | [
"44/22=2",
"34*2=68",
"6+68=74"
] | Current State: 74:[22, 44, 6, 34], Operations: []
Exploring Operation: 44/22=2, Resulting Numbers: [6, 34, 2]
Generated Node #2: [6, 34, 2] from Operation: 44/22=2
Current State: 74:[6, 34, 2], Operations: ['44/22=2']
Exploring Operation: 34*2=68, Resulting Numbers: [6, 68]
Generated Node #3: [6, 68] from Operation: 34*2=68
Current State: 74:[6, 68], Operations: ['44/22=2', '34*2=68']
Exploring Operation: 6+68=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
14,
81,
21,
4
] | 29 | [
"14+81=95",
"21+95=116",
"116/4=29"
] | Current State: 29:[14, 81, 21, 4], Operations: []
Exploring Operation: 14+81=95, Resulting Numbers: [21, 4, 95]
Generated Node #2: [21, 4, 95] from Operation: 14+81=95
Current State: 29:[21, 4, 95], Operations: ['14+81=95']
Exploring Operation: 21+95=116, Resulting Numbers: [4, 116]
Generated Node #3: [4, 116] from Operation: 21+95=116
Current State: 29:[4, 116], Operations: ['14+81=95', '21+95=116']
Exploring Operation: 116/4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
32,
52,
63,
16
] | 59 | [
"52-32=20",
"63+16=79",
"79-20=59"
] | Current State: 59:[32, 52, 63, 16], Operations: []
Exploring Operation: 52-32=20, Resulting Numbers: [63, 16, 20]
Generated Node #2: [63, 16, 20] from Operation: 52-32=20
Current State: 59:[63, 16, 20], Operations: ['52-32=20']
Exploring Operation: 63+16=79, Resulting Numbers: [20, 79]
Generated Node #3: [20, 79] from Operation: 63+16=79
Current State: 59:[20, 79], Operations: ['52-32=20', '63+16=79']
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
70,
58,
9,
42
] | 73 | [
"70*9=630",
"630/42=15",
"58+15=73"
] | Current State: 73:[70, 58, 9, 42], Operations: []
Exploring Operation: 70*9=630, Resulting Numbers: [58, 42, 630]
Generated Node #2: [58, 42, 630] from Operation: 70*9=630
Current State: 73:[58, 42, 630], Operations: ['70*9=630']
Exploring Operation: 630/42=15, Resulting Numbers: [58, 15]
Generated Node #3: [58, 15] from Operation: 630/42=15
Current State: 73:[58, 15], Operations: ['70*9=630', '630/42=15']
Exploring Operation: 58+15=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
27,
11,
55,
30
] | 41 | [
"27-11=16",
"55-30=25",
"16+25=41"
] | Current State: 41:[27, 11, 55, 30], Operations: []
Exploring Operation: 27-11=16, Resulting Numbers: [55, 30, 16]
Generated Node #2: [55, 30, 16] from Operation: 27-11=16
Current State: 41:[55, 30, 16], Operations: ['27-11=16']
Exploring Operation: 55-30=25, Resulting Numbers: [16, 25]
Generated Node #3: [16, 25] from Operation: 55-30=25
Current State: 41:[16, 25], Operations: ['27-11=16', '55-30=25']
Exploring Operation: 16+25=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
88,
62,
64,
86
] | 48 | [
"88*62=5456",
"64*86=5504",
"5504-5456=48"
] | Current State: 48:[88, 62, 64, 86], Operations: []
Exploring Operation: 88*62=5456, Resulting Numbers: [64, 86, 5456]
Generated Node #2: [64, 86, 5456] from Operation: 88*62=5456
Current State: 48:[64, 86, 5456], Operations: ['88*62=5456']
Exploring Operation: 64*86=5504, Resulting Numbers: [5456, 5504]
Generated Node #3: [5456, 5504] from Operation: 64*86=5504
Current State: 48:[5456, 5504], Operations: ['88*62=5456', '64*86=5504']
Exploring Operation: 5504-5456=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
93,
42,
95,
72
] | 32 | [
"93+42=135",
"95+72=167",
"167-135=32"
] | Current State: 32:[93, 42, 95, 72], Operations: []
Exploring Operation: 93+42=135, Resulting Numbers: [95, 72, 135]
Generated Node #2: [95, 72, 135] from Operation: 93+42=135
Current State: 32:[95, 72, 135], Operations: ['93+42=135']
Exploring Operation: 95+72=167, Resulting Numbers: [135, 167]
Generated Node #3: [135, 167] from Operation: 95+72=167
Current State: 32:[135, 167], Operations: ['93+42=135', '95+72=167']
Exploring Operation: 167-135=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
84,
33,
18,
22
] | 48 | [
"22-18=4",
"33*4=132",
"132-84=48"
] | Current State: 48:[84, 33, 18, 22], Operations: []
Exploring Operation: 22-18=4, Resulting Numbers: [84, 33, 4]
Generated Node #2: [84, 33, 4] from Operation: 22-18=4
Current State: 48:[84, 33, 4], Operations: ['22-18=4']
Exploring Operation: 33*4=132, Resulting Numbers: [84, 132]
Generated Node #3: [84, 132] from Operation: 33*4=132
Current State: 48:[84, 132], Operations: ['22-18=4', '33*4=132']
Exploring Operation: 132-84=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
5,
54,
97,
73
] | 66 | [
"97-73=24",
"5*24=120",
"120-54=66"
] | Current State: 66:[5, 54, 97, 73], Operations: []
Exploring Operation: 97-73=24, Resulting Numbers: [5, 54, 24]
Generated Node #2: [5, 54, 24] from Operation: 97-73=24
Current State: 66:[5, 54, 24], Operations: ['97-73=24']
Exploring Operation: 5*24=120, Resulting Numbers: [54, 120]
Generated Node #3: [54, 120] from Operation: 5*24=120
Current State: 66:[54, 120], Operations: ['97-73=24', '5*24=120']
Exploring Operation: 120-54=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
57,
64,
63,
48
] | 57 | [
"64-57=7",
"63/7=9",
"48+9=57"
] | Current State: 57:[57, 64, 63, 48], Operations: []
Exploring Operation: 64-57=7, Resulting Numbers: [63, 48, 7]
Generated Node #2: [63, 48, 7] from Operation: 64-57=7
Current State: 57:[63, 48, 7], Operations: ['64-57=7']
Exploring Operation: 63/7=9, Resulting Numbers: [48, 9]
Generated Node #3: [48, 9] from Operation: 63/7=9
Current State: 57:[48, 9], Operations: ['64-57=7', '63/7=9']
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
82,
94,
11,
65
] | 88 | [
"94-82=12",
"11+65=76",
"12+76=88"
] | Current State: 88:[82, 94, 11, 65], Operations: []
Exploring Operation: 94-82=12, Resulting Numbers: [11, 65, 12]
Generated Node #2: [11, 65, 12] from Operation: 94-82=12
Current State: 88:[11, 65, 12], Operations: ['94-82=12']
Exploring Operation: 11+65=76, Resulting Numbers: [12, 76]
Generated Node #3: [12, 76] from Operation: 11+65=76
Current State: 88:[12, 76], Operations: ['94-82=12', '11+65=76']
Exploring Operation: 12+76=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
17,
53,
74,
4
] | 70 | [
"53-17=36",
"4*36=144",
"144-74=70"
] | Current State: 70:[17, 53, 74, 4], Operations: []
Exploring Operation: 53-17=36, Resulting Numbers: [74, 4, 36]
Generated Node #2: [74, 4, 36] from Operation: 53-17=36
Current State: 70:[74, 4, 36], Operations: ['53-17=36']
Exploring Operation: 4*36=144, Resulting Numbers: [74, 144]
Generated Node #3: [74, 144] from Operation: 4*36=144
Current State: 70:[74, 144], Operations: ['53-17=36', '4*36=144']
Exploring Operation: 144-74=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
6,
47,
31,
89
] | 50 | [
"6*31=186",
"47+89=136",
"186-136=50"
] | Current State: 50:[6, 47, 31, 89], Operations: []
Exploring Operation: 6*31=186, Resulting Numbers: [47, 89, 186]
Generated Node #2: [47, 89, 186] from Operation: 6*31=186
Current State: 50:[47, 89, 186], Operations: ['6*31=186']
Exploring Operation: 47+89=136, Resulting Numbers: [186, 136]
Generated Node #3: [186, 136] from Operation: 47+89=136
Current State: 50:[186, 136], Operations: ['6*31=186', '47+89=136']
Exploring Operation: 186-136=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
62,
30,
12,
67
] | 23 | [
"62-30=32",
"67-12=55",
"55-32=23"
] | Current State: 23:[62, 30, 12, 67], Operations: []
Exploring Operation: 62-30=32, Resulting Numbers: [12, 67, 32]
Generated Node #2: [12, 67, 32] from Operation: 62-30=32
Current State: 23:[12, 67, 32], Operations: ['62-30=32']
Exploring Operation: 67-12=55, Resulting Numbers: [32, 55]
Generated Node #3: [32, 55] from Operation: 67-12=55
Current State: 23:[32, 55], Operations: ['62-30=32', '67-12=55']
Exploring Operation: 55-32=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
96,
64,
36,
90
] | 58 | [
"96-90=6",
"36/6=6",
"64-6=58"
] | Current State: 58:[96, 64, 36, 90], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [64, 36, 6]
Generated Node #2: [64, 36, 6] from Operation: 96-90=6
Current State: 58:[64, 36, 6], Operations: ['96-90=6']
Exploring Operation: 36/6=6, Resulting Numbers: [64, 6]
Generated Node #3: [64, 6] from Operation: 36/6=6
Current State: 58:[64, 6], Operations: ['96-90=6', '36/6=6']
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
6,
18,
94,
20
] | 50 | [
"6+18=24",
"94-20=74",
"74-24=50"
] | Current State: 50:[6, 18, 94, 20], Operations: []
Exploring Operation: 6+18=24, Resulting Numbers: [94, 20, 24]
Generated Node #2: [94, 20, 24] from Operation: 6+18=24
Current State: 50:[94, 20, 24], Operations: ['6+18=24']
Exploring Operation: 94-20=74, Resulting Numbers: [24, 74]
Generated Node #3: [24, 74] from Operation: 94-20=74
Current State: 50:[24, 74], Operations: ['6+18=24', '94-20=74']
Exploring Operation: 74-24=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
34,
12,
9,
20
] | 51 | [
"34-12=22",
"9+20=29",
"22+29=51"
] | Current State: 51:[34, 12, 9, 20], Operations: []
Exploring Operation: 34-12=22, Resulting Numbers: [9, 20, 22]
Generated Node #2: [9, 20, 22] from Operation: 34-12=22
Current State: 51:[9, 20, 22], Operations: ['34-12=22']
Exploring Operation: 9+20=29, Resulting Numbers: [22, 29]
Generated Node #3: [22, 29] from Operation: 9+20=29
Current State: 51:[22, 29], Operations: ['34-12=22', '9+20=29']
Exploring Operation: 22+29=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
43,
39,
2,
38
] | 60 | [
"43+39=82",
"38+82=120",
"120/2=60"
] | Current State: 60:[43, 39, 2, 38], Operations: []
Exploring Operation: 43+39=82, Resulting Numbers: [2, 38, 82]
Generated Node #2: [2, 38, 82] from Operation: 43+39=82
Current State: 60:[2, 38, 82], Operations: ['43+39=82']
Exploring Operation: 38+82=120, Resulting Numbers: [2, 120]
Generated Node #3: [2, 120] from Operation: 38+82=120
Current State: 60:[2, 120], Operations: ['43+39=82', '38+82=120']
Exploring Operation: 120/2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
18,
2,
72,
23
] | 62 | [
"72-18=54",
"54-23=31",
"2*31=62"
] | Current State: 62:[18, 2, 72, 23], Operations: []
Exploring Operation: 72-18=54, Resulting Numbers: [2, 23, 54]
Generated Node #2: [2, 23, 54] from Operation: 72-18=54
Current State: 62:[2, 23, 54], Operations: ['72-18=54']
Exploring Operation: 54-23=31, Resulting Numbers: [2, 31]
Generated Node #3: [2, 31] from Operation: 54-23=31
Current State: 62:[2, 31], Operations: ['72-18=54', '54-23=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
39,
13,
44,
48
] | 11 | [
"39+13=52",
"52-48=4",
"44/4=11"
] | Current State: 11:[39, 13, 44, 48], Operations: []
Exploring Operation: 39+13=52, Resulting Numbers: [44, 48, 52]
Generated Node #2: [44, 48, 52] from Operation: 39+13=52
Current State: 11:[44, 48, 52], Operations: ['39+13=52']
Exploring Operation: 52-48=4, Resulting Numbers: [44, 4]
Generated Node #3: [44, 4] from Operation: 52-48=4
Current State: 11:[44, 4], Operations: ['39+13=52', '52-48=4']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
25,
95,
74,
22
] | 25 | [
"95-74=21",
"22-21=1",
"25*1=25"
] | Current State: 25:[25, 95, 74, 22], Operations: []
Exploring Operation: 95-74=21, Resulting Numbers: [25, 22, 21]
Generated Node #2: [25, 22, 21] from Operation: 95-74=21
Current State: 25:[25, 22, 21], Operations: ['95-74=21']
Exploring Operation: 22-21=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 22-21=1
Current State: 25:[25, 1], Operations: ['95-74=21', '22-21=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
12,
56,
40,
11
] | 17 | [
"12+56=68",
"40+11=51",
"68-51=17"
] | Current State: 17:[12, 56, 40, 11], Operations: []
Exploring Operation: 12+56=68, Resulting Numbers: [40, 11, 68]
Generated Node #2: [40, 11, 68] from Operation: 12+56=68
Current State: 17:[40, 11, 68], Operations: ['12+56=68']
Exploring Operation: 40+11=51, Resulting Numbers: [68, 51]
Generated Node #3: [68, 51] from Operation: 40+11=51
Current State: 17:[68, 51], Operations: ['12+56=68', '40+11=51']
Exploring Operation: 68-51=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
42,
34,
5,
75
] | 62 | [
"42-34=8",
"75-5=70",
"70-8=62"
] | Current State: 62:[42, 34, 5, 75], Operations: []
Exploring Operation: 42-34=8, Resulting Numbers: [5, 75, 8]
Generated Node #2: [5, 75, 8] from Operation: 42-34=8
Current State: 62:[5, 75, 8], Operations: ['42-34=8']
Exploring Operation: 75-5=70, Resulting Numbers: [8, 70]
Generated Node #3: [8, 70] from Operation: 75-5=70
Current State: 62:[8, 70], Operations: ['42-34=8', '75-5=70']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
76,
85,
39,
13
] | 43 | [
"85-76=9",
"39+13=52",
"52-9=43"
] | Current State: 43:[76, 85, 39, 13], Operations: []
Exploring Operation: 85-76=9, Resulting Numbers: [39, 13, 9]
Generated Node #2: [39, 13, 9] from Operation: 85-76=9
Current State: 43:[39, 13, 9], Operations: ['85-76=9']
Exploring Operation: 39+13=52, Resulting Numbers: [9, 52]
Generated Node #3: [9, 52] from Operation: 39+13=52
Current State: 43:[9, 52], Operations: ['85-76=9', '39+13=52']
Exploring Operation: 52-9=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
21,
49,
70,
91
] | 91 | [
"21+49=70",
"70+91=161",
"161-70=91"
] | Current State: 91:[21, 49, 70, 91], Operations: []
Exploring Operation: 21+49=70, Resulting Numbers: [70, 91, 70]
Generated Node #2: [70, 91, 70] from Operation: 21+49=70
Current State: 91:[70, 91, 70], Operations: ['21+49=70']
Exploring Operation: 70+91=161, Resulting Numbers: [161]
161,91 equal: Goal Reached
Exploring Operation: 161-70=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
95,
10,
75,
85
] | 93 | [
"95+85=180",
"180/10=18",
"75+18=93"
] | Current State: 93:[95, 10, 75, 85], Operations: []
Exploring Operation: 95+85=180, Resulting Numbers: [10, 75, 180]
Generated Node #2: [10, 75, 180] from Operation: 95+85=180
Current State: 93:[10, 75, 180], Operations: ['95+85=180']
Exploring Operation: 180/10=18, Resulting Numbers: [75, 18]
Generated Node #3: [75, 18] from Operation: 180/10=18
Current State: 93:[75, 18], Operations: ['95+85=180', '180/10=18']
Exploring Operation: 75+18=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
35,
60,
89,
10
] | 60 | [
"35+60=95",
"95-89=6",
"10*6=60"
] | Current State: 60:[35, 60, 89, 10], Operations: []
Exploring Operation: 35+60=95, Resulting Numbers: [89, 10, 95]
Generated Node #2: [89, 10, 95] from Operation: 35+60=95
Current State: 60:[89, 10, 95], Operations: ['35+60=95']
Exploring Operation: 95-89=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 95-89=6
Current State: 60:[10, 6], Operations: ['35+60=95', '95-89=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
32,
49,
62,
27
] | 46 | [
"32+49=81",
"62-27=35",
"81-35=46"
] | Current State: 46:[32, 49, 62, 27], Operations: []
Exploring Operation: 32+49=81, Resulting Numbers: [62, 27, 81]
Generated Node #2: [62, 27, 81] from Operation: 32+49=81
Current State: 46:[62, 27, 81], Operations: ['32+49=81']
Exploring Operation: 62-27=35, Resulting Numbers: [81, 35]
Generated Node #3: [81, 35] from Operation: 62-27=35
Current State: 46:[81, 35], Operations: ['32+49=81', '62-27=35']
Exploring Operation: 81-35=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
63,
61,
87,
12
] | 63 | [
"63-61=2",
"12*2=24",
"87-24=63"
] | Current State: 63:[63, 61, 87, 12], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [87, 12, 2]
Generated Node #2: [87, 12, 2] from Operation: 63-61=2
Current State: 63:[87, 12, 2], Operations: ['63-61=2']
Exploring Operation: 12*2=24, Resulting Numbers: [87, 24]
Generated Node #3: [87, 24] from Operation: 12*2=24
Current State: 63:[87, 24], Operations: ['63-61=2', '12*2=24']
Exploring Operation: 87-24=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
43,
17,
8,
51
] | 54 | [
"43+8=51",
"51/17=3",
"51+3=54"
] | Current State: 54:[43, 17, 8, 51], Operations: []
Exploring Operation: 43+8=51, Resulting Numbers: [17, 51, 51]
Generated Node #2: [17, 51, 51] from Operation: 43+8=51
Current State: 54:[17, 51, 51], Operations: ['43+8=51']
Exploring Operation: 51/17=3, Resulting Numbers: [3]
3,54 equal: Goal Reached
Exploring Operation: 51+3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
1,
78,
70,
12
] | 88 | [
"12-1=11",
"78-70=8",
"11*8=88"
] | Current State: 88:[1, 78, 70, 12], Operations: []
Exploring Operation: 12-1=11, Resulting Numbers: [78, 70, 11]
Generated Node #2: [78, 70, 11] from Operation: 12-1=11
Current State: 88:[78, 70, 11], Operations: ['12-1=11']
Exploring Operation: 78-70=8, Resulting Numbers: [11, 8]
Generated Node #3: [11, 8] from Operation: 78-70=8
Current State: 88:[11, 8], Operations: ['12-1=11', '78-70=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
64,
30,
11,
57
] | 19 | [
"64+57=121",
"121/11=11",
"30-11=19"
] | Current State: 19:[64, 30, 11, 57], Operations: []
Exploring Operation: 64+57=121, Resulting Numbers: [30, 11, 121]
Generated Node #2: [30, 11, 121] from Operation: 64+57=121
Current State: 19:[30, 11, 121], Operations: ['64+57=121']
Exploring Operation: 121/11=11, Resulting Numbers: [30, 11]
Generated Node #3: [30, 11] from Operation: 121/11=11
Current State: 19:[30, 11], Operations: ['64+57=121', '121/11=11']
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
49,
33,
86,
27
] | 97 | [
"49-33=16",
"86+27=113",
"113-16=97"
] | Current State: 97:[49, 33, 86, 27], Operations: []
Exploring Operation: 49-33=16, Resulting Numbers: [86, 27, 16]
Generated Node #2: [86, 27, 16] from Operation: 49-33=16
Current State: 97:[86, 27, 16], Operations: ['49-33=16']
Exploring Operation: 86+27=113, Resulting Numbers: [16, 113]
Generated Node #3: [16, 113] from Operation: 86+27=113
Current State: 97:[16, 113], Operations: ['49-33=16', '86+27=113']
Exploring Operation: 113-16=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
64,
2,
85,
72
] | 38 | [
"85-72=13",
"2*13=26",
"64-26=38"
] | Current State: 38:[64, 2, 85, 72], Operations: []
Exploring Operation: 85-72=13, Resulting Numbers: [64, 2, 13]
Generated Node #2: [64, 2, 13] from Operation: 85-72=13
Current State: 38:[64, 2, 13], Operations: ['85-72=13']
Exploring Operation: 2*13=26, Resulting Numbers: [64, 26]
Generated Node #3: [64, 26] from Operation: 2*13=26
Current State: 38:[64, 26], Operations: ['85-72=13', '2*13=26']
Exploring Operation: 64-26=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
34,
38,
20,
17
] | 22 | [
"38-34=4",
"20/4=5",
"17+5=22"
] | Current State: 22:[34, 38, 20, 17], Operations: []
Exploring Operation: 38-34=4, Resulting Numbers: [20, 17, 4]
Generated Node #2: [20, 17, 4] from Operation: 38-34=4
Current State: 22:[20, 17, 4], Operations: ['38-34=4']
Exploring Operation: 20/4=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 20/4=5
Current State: 22:[17, 5], Operations: ['38-34=4', '20/4=5']
Exploring Operation: 17+5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
17,
28,
20,
52
] | 77 | [
"17+28=45",
"52-20=32",
"45+32=77"
] | Current State: 77:[17, 28, 20, 52], Operations: []
Exploring Operation: 17+28=45, Resulting Numbers: [20, 52, 45]
Generated Node #2: [20, 52, 45] from Operation: 17+28=45
Current State: 77:[20, 52, 45], Operations: ['17+28=45']
Exploring Operation: 52-20=32, Resulting Numbers: [45, 32]
Generated Node #3: [45, 32] from Operation: 52-20=32
Current State: 77:[45, 32], Operations: ['17+28=45', '52-20=32']
Exploring Operation: 45+32=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
22,
49,
87,
25
] | 89 | [
"49-22=27",
"87-25=62",
"27+62=89"
] | Current State: 89:[22, 49, 87, 25], Operations: []
Exploring Operation: 49-22=27, Resulting Numbers: [87, 25, 27]
Generated Node #2: [87, 25, 27] from Operation: 49-22=27
Current State: 89:[87, 25, 27], Operations: ['49-22=27']
Exploring Operation: 87-25=62, Resulting Numbers: [27, 62]
Generated Node #3: [27, 62] from Operation: 87-25=62
Current State: 89:[27, 62], Operations: ['49-22=27', '87-25=62']
Exploring Operation: 27+62=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
94,
5,
61,
60
] | 19 | [
"94+61=155",
"155-60=95",
"95/5=19"
] | Current State: 19:[94, 5, 61, 60], Operations: []
Exploring Operation: 94+61=155, Resulting Numbers: [5, 60, 155]
Generated Node #2: [5, 60, 155] from Operation: 94+61=155
Current State: 19:[5, 60, 155], Operations: ['94+61=155']
Exploring Operation: 155-60=95, Resulting Numbers: [5, 95]
Generated Node #3: [5, 95] from Operation: 155-60=95
Current State: 19:[5, 95], Operations: ['94+61=155', '155-60=95']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
12,
41,
11,
6
] | 47 | [
"12-11=1",
"41+6=47",
"1*47=47"
] | Current State: 47:[12, 41, 11, 6], Operations: []
Exploring Operation: 12-11=1, Resulting Numbers: [41, 6, 1]
Generated Node #2: [41, 6, 1] from Operation: 12-11=1
Current State: 47:[41, 6, 1], Operations: ['12-11=1']
Exploring Operation: 41+6=47, Resulting Numbers: [1, 47]
Generated Node #3: [1, 47] from Operation: 41+6=47
Current State: 47:[1, 47], Operations: ['12-11=1', '41+6=47']
Exploring Operation: 1*47=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
72,
61,
92,
5
] | 98 | [
"72-61=11",
"92-5=87",
"11+87=98"
] | Current State: 98:[72, 61, 92, 5], Operations: []
Exploring Operation: 72-61=11, Resulting Numbers: [92, 5, 11]
Generated Node #2: [92, 5, 11] from Operation: 72-61=11
Current State: 98:[92, 5, 11], Operations: ['72-61=11']
Exploring Operation: 92-5=87, Resulting Numbers: [11, 87]
Generated Node #3: [11, 87] from Operation: 92-5=87
Current State: 98:[11, 87], Operations: ['72-61=11', '92-5=87']
Exploring Operation: 11+87=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
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