nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
26,
62,
2,
93
] | 21 | [
"62-26=36",
"2*36=72",
"93-72=21"
] | Current State: 21:[26, 62, 2, 93], Operations: []
Exploring Operation: 62-26=36, Resulting Numbers: [2, 93, 36]
Generated Node #2: [2, 93, 36] from Operation: 62-26=36
Current State: 21:[2, 93, 36], Operations: ['62-26=36']
Exploring Operation: 2*36=72, Resulting Numbers: [93, 72]
Generated Node #3: [93, 72] from Operation: 2*36=72
Current State: 21:[93, 72], Operations: ['62-26=36', '2*36=72']
Exploring Operation: 93-72=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
4,
61,
23,
98
] | 77 | [
"61+23=84",
"84/4=21",
"98-21=77"
] | Current State: 77:[4, 61, 23, 98], Operations: []
Exploring Operation: 61+23=84, Resulting Numbers: [4, 98, 84]
Generated Node #2: [4, 98, 84] from Operation: 61+23=84
Current State: 77:[4, 98, 84], Operations: ['61+23=84']
Exploring Operation: 84/4=21, Resulting Numbers: [98, 21]
Generated Node #3: [98, 21] from Operation: 84/4=21
Current State: 77:[98, 21], Operations: ['61+23=84', '84/4=21']
Exploring Operation: 98-21=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
13,
44,
7,
69
] | 22 | [
"13*7=91",
"44+69=113",
"113-91=22"
] | Current State: 22:[13, 44, 7, 69], Operations: []
Exploring Operation: 13*7=91, Resulting Numbers: [44, 69, 91]
Generated Node #2: [44, 69, 91] from Operation: 13*7=91
Current State: 22:[44, 69, 91], Operations: ['13*7=91']
Exploring Operation: 44+69=113, Resulting Numbers: [91, 113]
Generated Node #3: [91, 113] from Operation: 44+69=113
Current State: 22:[91, 113], Operations: ['13*7=91', '44+69=113']
Exploring Operation: 113-91=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
10,
59,
65,
72
] | 11 | [
"72-65=7",
"10*7=70",
"70-59=11"
] | Current State: 11:[10, 59, 65, 72], Operations: []
Exploring Operation: 72-65=7, Resulting Numbers: [10, 59, 7]
Generated Node #2: [10, 59, 7] from Operation: 72-65=7
Current State: 11:[10, 59, 7], Operations: ['72-65=7']
Exploring Operation: 10*7=70, Resulting Numbers: [59, 70]
Generated Node #3: [59, 70] from Operation: 10*7=70
Current State: 11:[59, 70], Operations: ['72-65=7', '10*7=70']
Exploring Operation: 70-59=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
82,
28,
26,
99
] | 19 | [
"82-28=54",
"99-26=73",
"73-54=19"
] | Current State: 19:[82, 28, 26, 99], Operations: []
Exploring Operation: 82-28=54, Resulting Numbers: [26, 99, 54]
Generated Node #2: [26, 99, 54] from Operation: 82-28=54
Current State: 19:[26, 99, 54], Operations: ['82-28=54']
Exploring Operation: 99-26=73, Resulting Numbers: [54, 73]
Generated Node #3: [54, 73] from Operation: 99-26=73
Current State: 19:[54, 73], Operations: ['82-28=54', '99-26=73']
Exploring Operation: 73-54=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
83,
31,
51,
85
] | 85 | [
"83-31=52",
"52-51=1",
"85*1=85"
] | Current State: 85:[83, 31, 51, 85], Operations: []
Exploring Operation: 83-31=52, Resulting Numbers: [51, 85, 52]
Generated Node #2: [51, 85, 52] from Operation: 83-31=52
Current State: 85:[51, 85, 52], Operations: ['83-31=52']
Exploring Operation: 52-51=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 52-51=1
Current State: 85:[85, 1], Operations: ['83-31=52', '52-51=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
13,
5,
68,
76
] | 18 | [
"13-5=8",
"68+76=144",
"144/8=18"
] | Current State: 18:[13, 5, 68, 76], Operations: []
Exploring Operation: 13-5=8, Resulting Numbers: [68, 76, 8]
Generated Node #2: [68, 76, 8] from Operation: 13-5=8
Current State: 18:[68, 76, 8], Operations: ['13-5=8']
Exploring Operation: 68+76=144, Resulting Numbers: [8, 144]
Generated Node #3: [8, 144] from Operation: 68+76=144
Current State: 18:[8, 144], Operations: ['13-5=8', '68+76=144']
Exploring Operation: 144/8=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
52,
67,
94,
15
] | 40 | [
"52+67=119",
"94-15=79",
"119-79=40"
] | Current State: 40:[52, 67, 94, 15], Operations: []
Exploring Operation: 52+67=119, Resulting Numbers: [94, 15, 119]
Generated Node #2: [94, 15, 119] from Operation: 52+67=119
Current State: 40:[94, 15, 119], Operations: ['52+67=119']
Exploring Operation: 94-15=79, Resulting Numbers: [119, 79]
Generated Node #3: [119, 79] from Operation: 94-15=79
Current State: 40:[119, 79], Operations: ['52+67=119', '94-15=79']
Exploring Operation: 119-79=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
31,
48,
50,
39
] | 35 | [
"31+39=70",
"50-48=2",
"70/2=35"
] | Current State: 35:[31, 48, 50, 39], Operations: []
Exploring Operation: 31+39=70, Resulting Numbers: [48, 50, 70]
Generated Node #2: [48, 50, 70] from Operation: 31+39=70
Current State: 35:[48, 50, 70], Operations: ['31+39=70']
Exploring Operation: 50-48=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 50-48=2
Current State: 35:[70, 2], Operations: ['31+39=70', '50-48=2']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
68,
69,
47,
51
] | 86 | [
"51-47=4",
"68/4=17",
"69+17=86"
] | Current State: 86:[68, 69, 47, 51], Operations: []
Exploring Operation: 51-47=4, Resulting Numbers: [68, 69, 4]
Generated Node #2: [68, 69, 4] from Operation: 51-47=4
Current State: 86:[68, 69, 4], Operations: ['51-47=4']
Exploring Operation: 68/4=17, Resulting Numbers: [69, 17]
Generated Node #3: [69, 17] from Operation: 68/4=17
Current State: 86:[69, 17], Operations: ['51-47=4', '68/4=17']
Exploring Operation: 69+17=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
3,
99,
79,
82
] | 65 | [
"99-3=96",
"79+82=161",
"161-96=65"
] | Current State: 65:[3, 99, 79, 82], Operations: []
Exploring Operation: 99-3=96, Resulting Numbers: [79, 82, 96]
Generated Node #2: [79, 82, 96] from Operation: 99-3=96
Current State: 65:[79, 82, 96], Operations: ['99-3=96']
Exploring Operation: 79+82=161, Resulting Numbers: [96, 161]
Generated Node #3: [96, 161] from Operation: 79+82=161
Current State: 65:[96, 161], Operations: ['99-3=96', '79+82=161']
Exploring Operation: 161-96=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
78,
58,
57,
53
] | 26 | [
"78+58=136",
"57+53=110",
"136-110=26"
] | Current State: 26:[78, 58, 57, 53], Operations: []
Exploring Operation: 78+58=136, Resulting Numbers: [57, 53, 136]
Generated Node #2: [57, 53, 136] from Operation: 78+58=136
Current State: 26:[57, 53, 136], Operations: ['78+58=136']
Exploring Operation: 57+53=110, Resulting Numbers: [136, 110]
Generated Node #3: [136, 110] from Operation: 57+53=110
Current State: 26:[136, 110], Operations: ['78+58=136', '57+53=110']
Exploring Operation: 136-110=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
79,
63,
2,
48
] | 80 | [
"79-63=16",
"2*48=96",
"96-16=80"
] | Current State: 80:[79, 63, 2, 48], Operations: []
Exploring Operation: 79-63=16, Resulting Numbers: [2, 48, 16]
Generated Node #2: [2, 48, 16] from Operation: 79-63=16
Current State: 80:[2, 48, 16], Operations: ['79-63=16']
Exploring Operation: 2*48=96, Resulting Numbers: [16, 96]
Generated Node #3: [16, 96] from Operation: 2*48=96
Current State: 80:[16, 96], Operations: ['79-63=16', '2*48=96']
Exploring Operation: 96-16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
42,
91,
76,
67
] | 49 | [
"42*76=3192",
"91+3192=3283",
"3283/67=49"
] | Current State: 49:[42, 91, 76, 67], Operations: []
Exploring Operation: 42*76=3192, Resulting Numbers: [91, 67, 3192]
Generated Node #2: [91, 67, 3192] from Operation: 42*76=3192
Current State: 49:[91, 67, 3192], Operations: ['42*76=3192']
Exploring Operation: 91+3192=3283, Resulting Numbers: [67, 3283]
Generated Node #3: [67, 3283] from Operation: 91+3192=3283
Current State: 49:[67, 3283], Operations: ['42*76=3192', '91+3192=3283']
Exploring Operation: 3283/67=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
53,
89,
88,
15
] | 68 | [
"53+15=68",
"89-88=1",
"68*1=68"
] | Current State: 68:[53, 89, 88, 15], Operations: []
Exploring Operation: 53+15=68, Resulting Numbers: [89, 88, 68]
Generated Node #2: [89, 88, 68] from Operation: 53+15=68
Current State: 68:[89, 88, 68], Operations: ['53+15=68']
Exploring Operation: 89-88=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 89-88=1
Current State: 68:[68, 1], Operations: ['53+15=68', '89-88=1']
Exploring Operation: 68*1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
5,
18,
60,
52
] | 99 | [
"18-5=13",
"60+52=112",
"112-13=99"
] | Current State: 99:[5, 18, 60, 52], Operations: []
Exploring Operation: 18-5=13, Resulting Numbers: [60, 52, 13]
Generated Node #2: [60, 52, 13] from Operation: 18-5=13
Current State: 99:[60, 52, 13], Operations: ['18-5=13']
Exploring Operation: 60+52=112, Resulting Numbers: [13, 112]
Generated Node #3: [13, 112] from Operation: 60+52=112
Current State: 99:[13, 112], Operations: ['18-5=13', '60+52=112']
Exploring Operation: 112-13=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
21,
8,
5,
25
] | 40 | [
"21-8=13",
"5*13=65",
"65-25=40"
] | Current State: 40:[21, 8, 5, 25], Operations: []
Exploring Operation: 21-8=13, Resulting Numbers: [5, 25, 13]
Generated Node #2: [5, 25, 13] from Operation: 21-8=13
Current State: 40:[5, 25, 13], Operations: ['21-8=13']
Exploring Operation: 5*13=65, Resulting Numbers: [25, 65]
Generated Node #3: [25, 65] from Operation: 5*13=65
Current State: 40:[25, 65], Operations: ['21-8=13', '5*13=65']
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
31,
22,
70,
32
] | 24 | [
"32-22=10",
"70/10=7",
"31-7=24"
] | Current State: 24:[31, 22, 70, 32], Operations: []
Exploring Operation: 32-22=10, Resulting Numbers: [31, 70, 10]
Generated Node #2: [31, 70, 10] from Operation: 32-22=10
Current State: 24:[31, 70, 10], Operations: ['32-22=10']
Exploring Operation: 70/10=7, Resulting Numbers: [31, 7]
Generated Node #3: [31, 7] from Operation: 70/10=7
Current State: 24:[31, 7], Operations: ['32-22=10', '70/10=7']
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
32,
38,
6,
88
] | 24 | [
"32+38=70",
"6+88=94",
"94-70=24"
] | Current State: 24:[32, 38, 6, 88], Operations: []
Exploring Operation: 32+38=70, Resulting Numbers: [6, 88, 70]
Generated Node #2: [6, 88, 70] from Operation: 32+38=70
Current State: 24:[6, 88, 70], Operations: ['32+38=70']
Exploring Operation: 6+88=94, Resulting Numbers: [70, 94]
Generated Node #3: [70, 94] from Operation: 6+88=94
Current State: 24:[70, 94], Operations: ['32+38=70', '6+88=94']
Exploring Operation: 94-70=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
17,
10,
34,
14
] | 47 | [
"17+10=27",
"34-14=20",
"27+20=47"
] | Current State: 47:[17, 10, 34, 14], Operations: []
Exploring Operation: 17+10=27, Resulting Numbers: [34, 14, 27]
Generated Node #2: [34, 14, 27] from Operation: 17+10=27
Current State: 47:[34, 14, 27], Operations: ['17+10=27']
Exploring Operation: 34-14=20, Resulting Numbers: [27, 20]
Generated Node #3: [27, 20] from Operation: 34-14=20
Current State: 47:[27, 20], Operations: ['17+10=27', '34-14=20']
Exploring Operation: 27+20=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
23,
68,
85,
34
] | 28 | [
"23+68=91",
"85+34=119",
"119-91=28"
] | Current State: 28:[23, 68, 85, 34], Operations: []
Exploring Operation: 23+68=91, Resulting Numbers: [85, 34, 91]
Generated Node #2: [85, 34, 91] from Operation: 23+68=91
Current State: 28:[85, 34, 91], Operations: ['23+68=91']
Exploring Operation: 85+34=119, Resulting Numbers: [91, 119]
Generated Node #3: [91, 119] from Operation: 85+34=119
Current State: 28:[91, 119], Operations: ['23+68=91', '85+34=119']
Exploring Operation: 119-91=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
82,
35,
4,
3
] | 70 | [
"35+3=38",
"4*38=152",
"152-82=70"
] | Current State: 70:[82, 35, 4, 3], Operations: []
Exploring Operation: 35+3=38, Resulting Numbers: [82, 4, 38]
Generated Node #2: [82, 4, 38] from Operation: 35+3=38
Current State: 70:[82, 4, 38], Operations: ['35+3=38']
Exploring Operation: 4*38=152, Resulting Numbers: [82, 152]
Generated Node #3: [82, 152] from Operation: 4*38=152
Current State: 70:[82, 152], Operations: ['35+3=38', '4*38=152']
Exploring Operation: 152-82=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
21,
67,
17,
60
] | 15 | [
"21*60=1260",
"67+17=84",
"1260/84=15"
] | Current State: 15:[21, 67, 17, 60], Operations: []
Exploring Operation: 21*60=1260, Resulting Numbers: [67, 17, 1260]
Generated Node #2: [67, 17, 1260] from Operation: 21*60=1260
Current State: 15:[67, 17, 1260], Operations: ['21*60=1260']
Exploring Operation: 67+17=84, Resulting Numbers: [1260, 84]
Generated Node #3: [1260, 84] from Operation: 67+17=84
Current State: 15:[1260, 84], Operations: ['21*60=1260', '67+17=84']
Exploring Operation: 1260/84=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
42,
81,
56,
75
] | 14 | [
"81-56=25",
"42*25=1050",
"1050/75=14"
] | Current State: 14:[42, 81, 56, 75], Operations: []
Exploring Operation: 81-56=25, Resulting Numbers: [42, 75, 25]
Generated Node #2: [42, 75, 25] from Operation: 81-56=25
Current State: 14:[42, 75, 25], Operations: ['81-56=25']
Exploring Operation: 42*25=1050, Resulting Numbers: [75, 1050]
Generated Node #3: [75, 1050] from Operation: 42*25=1050
Current State: 14:[75, 1050], Operations: ['81-56=25', '42*25=1050']
Exploring Operation: 1050/75=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
52,
84,
3,
41
] | 51 | [
"52-41=11",
"3*11=33",
"84-33=51"
] | Current State: 51:[52, 84, 3, 41], Operations: []
Exploring Operation: 52-41=11, Resulting Numbers: [84, 3, 11]
Generated Node #2: [84, 3, 11] from Operation: 52-41=11
Current State: 51:[84, 3, 11], Operations: ['52-41=11']
Exploring Operation: 3*11=33, Resulting Numbers: [84, 33]
Generated Node #3: [84, 33] from Operation: 3*11=33
Current State: 51:[84, 33], Operations: ['52-41=11', '3*11=33']
Exploring Operation: 84-33=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
30,
5,
15,
73
] | 17 | [
"30/5=6",
"15*6=90",
"90-73=17"
] | Current State: 17:[30, 5, 15, 73], Operations: []
Exploring Operation: 30/5=6, Resulting Numbers: [15, 73, 6]
Generated Node #2: [15, 73, 6] from Operation: 30/5=6
Current State: 17:[15, 73, 6], Operations: ['30/5=6']
Exploring Operation: 15*6=90, Resulting Numbers: [73, 90]
Generated Node #3: [73, 90] from Operation: 15*6=90
Current State: 17:[73, 90], Operations: ['30/5=6', '15*6=90']
Exploring Operation: 90-73=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
10,
48,
88,
28
] | 58 | [
"10+48=58",
"88+28=116",
"116-58=58"
] | Current State: 58:[10, 48, 88, 28], Operations: []
Exploring Operation: 10+48=58, Resulting Numbers: [88, 28, 58]
Generated Node #2: [88, 28, 58] from Operation: 10+48=58
Current State: 58:[88, 28, 58], Operations: ['10+48=58']
Exploring Operation: 88+28=116, Resulting Numbers: [58, 116]
Generated Node #3: [58, 116] from Operation: 88+28=116
Current State: 58:[58, 116], Operations: ['10+48=58', '88+28=116']
Exploring Operation: 116-58=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
46,
4,
20,
29
] | 91 | [
"46-4=42",
"20+29=49",
"42+49=91"
] | Current State: 91:[46, 4, 20, 29], Operations: []
Exploring Operation: 46-4=42, Resulting Numbers: [20, 29, 42]
Generated Node #2: [20, 29, 42] from Operation: 46-4=42
Current State: 91:[20, 29, 42], Operations: ['46-4=42']
Exploring Operation: 20+29=49, Resulting Numbers: [42, 49]
Generated Node #3: [42, 49] from Operation: 20+29=49
Current State: 91:[42, 49], Operations: ['46-4=42', '20+29=49']
Exploring Operation: 42+49=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
59,
40,
83,
3
] | 99 | [
"59-40=19",
"83-3=80",
"19+80=99"
] | Current State: 99:[59, 40, 83, 3], Operations: []
Exploring Operation: 59-40=19, Resulting Numbers: [83, 3, 19]
Generated Node #2: [83, 3, 19] from Operation: 59-40=19
Current State: 99:[83, 3, 19], Operations: ['59-40=19']
Exploring Operation: 83-3=80, Resulting Numbers: [19, 80]
Generated Node #3: [19, 80] from Operation: 83-3=80
Current State: 99:[19, 80], Operations: ['59-40=19', '83-3=80']
Exploring Operation: 19+80=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
23,
61,
88,
19
] | 39 | [
"23-19=4",
"88/4=22",
"61-22=39"
] | Current State: 39:[23, 61, 88, 19], Operations: []
Exploring Operation: 23-19=4, Resulting Numbers: [61, 88, 4]
Generated Node #2: [61, 88, 4] from Operation: 23-19=4
Current State: 39:[61, 88, 4], Operations: ['23-19=4']
Exploring Operation: 88/4=22, Resulting Numbers: [61, 22]
Generated Node #3: [61, 22] from Operation: 88/4=22
Current State: 39:[61, 22], Operations: ['23-19=4', '88/4=22']
Exploring Operation: 61-22=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
47,
10,
49,
60
] | 80 | [
"49-47=2",
"10*2=20",
"60+20=80"
] | Current State: 80:[47, 10, 49, 60], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [10, 60, 2]
Generated Node #2: [10, 60, 2] from Operation: 49-47=2
Current State: 80:[10, 60, 2], Operations: ['49-47=2']
Exploring Operation: 10*2=20, Resulting Numbers: [60, 20]
Generated Node #3: [60, 20] from Operation: 10*2=20
Current State: 80:[60, 20], Operations: ['49-47=2', '10*2=20']
Exploring Operation: 60+20=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
26,
73,
10,
63
] | 27 | [
"73-10=63",
"63/63=1",
"26+1=27"
] | Current State: 27:[26, 73, 10, 63], Operations: []
Exploring Operation: 73-10=63, Resulting Numbers: [26, 63, 63]
Generated Node #2: [26, 63, 63] from Operation: 73-10=63
Current State: 27:[26, 63, 63], Operations: ['73-10=63']
Exploring Operation: 63/63=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 63/63=1
Current State: 27:[26, 1], Operations: ['73-10=63', '63/63=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
99,
28,
8,
36
] | 83 | [
"99+28=127",
"8+36=44",
"127-44=83"
] | Current State: 83:[99, 28, 8, 36], Operations: []
Exploring Operation: 99+28=127, Resulting Numbers: [8, 36, 127]
Generated Node #2: [8, 36, 127] from Operation: 99+28=127
Current State: 83:[8, 36, 127], Operations: ['99+28=127']
Exploring Operation: 8+36=44, Resulting Numbers: [127, 44]
Generated Node #3: [127, 44] from Operation: 8+36=44
Current State: 83:[127, 44], Operations: ['99+28=127', '8+36=44']
Exploring Operation: 127-44=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
99,
70,
32,
34
] | 41 | [
"34-32=2",
"70*2=140",
"140-99=41"
] | Current State: 41:[99, 70, 32, 34], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [99, 70, 2]
Generated Node #2: [99, 70, 2] from Operation: 34-32=2
Current State: 41:[99, 70, 2], Operations: ['34-32=2']
Exploring Operation: 70*2=140, Resulting Numbers: [99, 140]
Generated Node #3: [99, 140] from Operation: 70*2=140
Current State: 41:[99, 140], Operations: ['34-32=2', '70*2=140']
Exploring Operation: 140-99=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
34,
50,
91,
7
] | 49 | [
"34+50=84",
"91-84=7",
"7*7=49"
] | Current State: 49:[34, 50, 91, 7], Operations: []
Exploring Operation: 34+50=84, Resulting Numbers: [91, 7, 84]
Generated Node #2: [91, 7, 84] from Operation: 34+50=84
Current State: 49:[91, 7, 84], Operations: ['34+50=84']
Exploring Operation: 91-84=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 91-84=7
Current State: 49:[7, 7], Operations: ['34+50=84', '91-84=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
15,
30,
63,
46
] | 28 | [
"15+30=45",
"63-46=17",
"45-17=28"
] | Current State: 28:[15, 30, 63, 46], Operations: []
Exploring Operation: 15+30=45, Resulting Numbers: [63, 46, 45]
Generated Node #2: [63, 46, 45] from Operation: 15+30=45
Current State: 28:[63, 46, 45], Operations: ['15+30=45']
Exploring Operation: 63-46=17, Resulting Numbers: [45, 17]
Generated Node #3: [45, 17] from Operation: 63-46=17
Current State: 28:[45, 17], Operations: ['15+30=45', '63-46=17']
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
10,
18,
9,
52
] | 38 | [
"18-9=9",
"10*9=90",
"90-52=38"
] | Current State: 38:[10, 18, 9, 52], Operations: []
Exploring Operation: 18-9=9, Resulting Numbers: [10, 52, 9]
Generated Node #2: [10, 52, 9] from Operation: 18-9=9
Current State: 38:[10, 52, 9], Operations: ['18-9=9']
Exploring Operation: 10*9=90, Resulting Numbers: [52, 90]
Generated Node #3: [52, 90] from Operation: 10*9=90
Current State: 38:[52, 90], Operations: ['18-9=9', '10*9=90']
Exploring Operation: 90-52=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
15,
9,
6,
29
] | 10 | [
"15+29=44",
"9*6=54",
"54-44=10"
] | Current State: 10:[15, 9, 6, 29], Operations: []
Exploring Operation: 15+29=44, Resulting Numbers: [9, 6, 44]
Generated Node #2: [9, 6, 44] from Operation: 15+29=44
Current State: 10:[9, 6, 44], Operations: ['15+29=44']
Exploring Operation: 9*6=54, Resulting Numbers: [44, 54]
Generated Node #3: [44, 54] from Operation: 9*6=54
Current State: 10:[44, 54], Operations: ['15+29=44', '9*6=54']
Exploring Operation: 54-44=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
78,
18,
8,
36
] | 66 | [
"36-18=18",
"8*18=144",
"144-78=66"
] | Current State: 66:[78, 18, 8, 36], Operations: []
Exploring Operation: 36-18=18, Resulting Numbers: [78, 8, 18]
Generated Node #2: [78, 8, 18] from Operation: 36-18=18
Current State: 66:[78, 8, 18], Operations: ['36-18=18']
Exploring Operation: 8*18=144, Resulting Numbers: [78, 144]
Generated Node #3: [78, 144] from Operation: 8*18=144
Current State: 66:[78, 144], Operations: ['36-18=18', '8*18=144']
Exploring Operation: 144-78=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
80,
34,
72,
37
] | 79 | [
"80+34=114",
"72-37=35",
"114-35=79"
] | Current State: 79:[80, 34, 72, 37], Operations: []
Exploring Operation: 80+34=114, Resulting Numbers: [72, 37, 114]
Generated Node #2: [72, 37, 114] from Operation: 80+34=114
Current State: 79:[72, 37, 114], Operations: ['80+34=114']
Exploring Operation: 72-37=35, Resulting Numbers: [114, 35]
Generated Node #3: [114, 35] from Operation: 72-37=35
Current State: 79:[114, 35], Operations: ['80+34=114', '72-37=35']
Exploring Operation: 114-35=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
97,
33,
25,
28
] | 77 | [
"97+33=130",
"25+28=53",
"130-53=77"
] | Current State: 77:[97, 33, 25, 28], Operations: []
Exploring Operation: 97+33=130, Resulting Numbers: [25, 28, 130]
Generated Node #2: [25, 28, 130] from Operation: 97+33=130
Current State: 77:[25, 28, 130], Operations: ['97+33=130']
Exploring Operation: 25+28=53, Resulting Numbers: [130, 53]
Generated Node #3: [130, 53] from Operation: 25+28=53
Current State: 77:[130, 53], Operations: ['97+33=130', '25+28=53']
Exploring Operation: 130-53=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
47,
69,
82,
96
] | 36 | [
"69-47=22",
"96-82=14",
"22+14=36"
] | Current State: 36:[47, 69, 82, 96], Operations: []
Exploring Operation: 69-47=22, Resulting Numbers: [82, 96, 22]
Generated Node #2: [82, 96, 22] from Operation: 69-47=22
Current State: 36:[82, 96, 22], Operations: ['69-47=22']
Exploring Operation: 96-82=14, Resulting Numbers: [22, 14]
Generated Node #3: [22, 14] from Operation: 96-82=14
Current State: 36:[22, 14], Operations: ['69-47=22', '96-82=14']
Exploring Operation: 22+14=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
58,
34,
47,
44
] | 50 | [
"58+44=102",
"102/34=3",
"47+3=50"
] | Current State: 50:[58, 34, 47, 44], Operations: []
Exploring Operation: 58+44=102, Resulting Numbers: [34, 47, 102]
Generated Node #2: [34, 47, 102] from Operation: 58+44=102
Current State: 50:[34, 47, 102], Operations: ['58+44=102']
Exploring Operation: 102/34=3, Resulting Numbers: [47, 3]
Generated Node #3: [47, 3] from Operation: 102/34=3
Current State: 50:[47, 3], Operations: ['58+44=102', '102/34=3']
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
80,
64,
70,
56
] | 18 | [
"80+64=144",
"70+56=126",
"144-126=18"
] | Current State: 18:[80, 64, 70, 56], Operations: []
Exploring Operation: 80+64=144, Resulting Numbers: [70, 56, 144]
Generated Node #2: [70, 56, 144] from Operation: 80+64=144
Current State: 18:[70, 56, 144], Operations: ['80+64=144']
Exploring Operation: 70+56=126, Resulting Numbers: [144, 126]
Generated Node #3: [144, 126] from Operation: 70+56=126
Current State: 18:[144, 126], Operations: ['80+64=144', '70+56=126']
Exploring Operation: 144-126=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
32,
90,
11,
25
] | 86 | [
"32+90=122",
"11+25=36",
"122-36=86"
] | Current State: 86:[32, 90, 11, 25], Operations: []
Exploring Operation: 32+90=122, Resulting Numbers: [11, 25, 122]
Generated Node #2: [11, 25, 122] from Operation: 32+90=122
Current State: 86:[11, 25, 122], Operations: ['32+90=122']
Exploring Operation: 11+25=36, Resulting Numbers: [122, 36]
Generated Node #3: [122, 36] from Operation: 11+25=36
Current State: 86:[122, 36], Operations: ['32+90=122', '11+25=36']
Exploring Operation: 122-36=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
28,
86,
24,
76
] | 71 | [
"86*24=2064",
"2064-76=1988",
"1988/28=71"
] | Current State: 71:[28, 86, 24, 76], Operations: []
Exploring Operation: 86*24=2064, Resulting Numbers: [28, 76, 2064]
Generated Node #2: [28, 76, 2064] from Operation: 86*24=2064
Current State: 71:[28, 76, 2064], Operations: ['86*24=2064']
Exploring Operation: 2064-76=1988, Resulting Numbers: [28, 1988]
Generated Node #3: [28, 1988] from Operation: 2064-76=1988
Current State: 71:[28, 1988], Operations: ['86*24=2064', '2064-76=1988']
Exploring Operation: 1988/28=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
51,
13,
45,
3
] | 39 | [
"51-45=6",
"6-3=3",
"13*3=39"
] | Current State: 39:[51, 13, 45, 3], Operations: []
Exploring Operation: 51-45=6, Resulting Numbers: [13, 3, 6]
Generated Node #2: [13, 3, 6] from Operation: 51-45=6
Current State: 39:[13, 3, 6], Operations: ['51-45=6']
Exploring Operation: 6-3=3, Resulting Numbers: [13, 3]
Generated Node #3: [13, 3] from Operation: 6-3=3
Current State: 39:[13, 3], Operations: ['51-45=6', '6-3=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
68,
36,
28,
29
] | 72 | [
"36-29=7",
"28/7=4",
"68+4=72"
] | Current State: 72:[68, 36, 28, 29], Operations: []
Exploring Operation: 36-29=7, Resulting Numbers: [68, 28, 7]
Generated Node #2: [68, 28, 7] from Operation: 36-29=7
Current State: 72:[68, 28, 7], Operations: ['36-29=7']
Exploring Operation: 28/7=4, Resulting Numbers: [68, 4]
Generated Node #3: [68, 4] from Operation: 28/7=4
Current State: 72:[68, 4], Operations: ['36-29=7', '28/7=4']
Exploring Operation: 68+4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
62,
87,
55,
70
] | 40 | [
"87-62=25",
"70-55=15",
"25+15=40"
] | Current State: 40:[62, 87, 55, 70], Operations: []
Exploring Operation: 87-62=25, Resulting Numbers: [55, 70, 25]
Generated Node #2: [55, 70, 25] from Operation: 87-62=25
Current State: 40:[55, 70, 25], Operations: ['87-62=25']
Exploring Operation: 70-55=15, Resulting Numbers: [25, 15]
Generated Node #3: [25, 15] from Operation: 70-55=15
Current State: 40:[25, 15], Operations: ['87-62=25', '70-55=15']
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
45,
80,
82,
50
] | 66 | [
"50-45=5",
"80/5=16",
"82-16=66"
] | Current State: 66:[45, 80, 82, 50], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [80, 82, 5]
Generated Node #2: [80, 82, 5] from Operation: 50-45=5
Current State: 66:[80, 82, 5], Operations: ['50-45=5']
Exploring Operation: 80/5=16, Resulting Numbers: [82, 16]
Generated Node #3: [82, 16] from Operation: 80/5=16
Current State: 66:[82, 16], Operations: ['50-45=5', '80/5=16']
Exploring Operation: 82-16=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
38,
33,
73,
82
] | 31 | [
"38-33=5",
"73+82=155",
"155/5=31"
] | Current State: 31:[38, 33, 73, 82], Operations: []
Exploring Operation: 38-33=5, Resulting Numbers: [73, 82, 5]
Generated Node #2: [73, 82, 5] from Operation: 38-33=5
Current State: 31:[73, 82, 5], Operations: ['38-33=5']
Exploring Operation: 73+82=155, Resulting Numbers: [5, 155]
Generated Node #3: [5, 155] from Operation: 73+82=155
Current State: 31:[5, 155], Operations: ['38-33=5', '73+82=155']
Exploring Operation: 155/5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
23,
26,
88,
1
] | 44 | [
"26-23=3",
"3-1=2",
"88/2=44"
] | Current State: 44:[23, 26, 88, 1], Operations: []
Exploring Operation: 26-23=3, Resulting Numbers: [88, 1, 3]
Generated Node #2: [88, 1, 3] from Operation: 26-23=3
Current State: 44:[88, 1, 3], Operations: ['26-23=3']
Exploring Operation: 3-1=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 3-1=2
Current State: 44:[88, 2], Operations: ['26-23=3', '3-1=2']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
29,
1,
84,
21
] | 91 | [
"29-1=28",
"84-21=63",
"28+63=91"
] | Current State: 91:[29, 1, 84, 21], Operations: []
Exploring Operation: 29-1=28, Resulting Numbers: [84, 21, 28]
Generated Node #2: [84, 21, 28] from Operation: 29-1=28
Current State: 91:[84, 21, 28], Operations: ['29-1=28']
Exploring Operation: 84-21=63, Resulting Numbers: [28, 63]
Generated Node #3: [28, 63] from Operation: 84-21=63
Current State: 91:[28, 63], Operations: ['29-1=28', '84-21=63']
Exploring Operation: 28+63=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
27,
95,
45,
90
] | 42 | [
"95+45=140",
"27*140=3780",
"3780/90=42"
] | Current State: 42:[27, 95, 45, 90], Operations: []
Exploring Operation: 95+45=140, Resulting Numbers: [27, 90, 140]
Generated Node #2: [27, 90, 140] from Operation: 95+45=140
Current State: 42:[27, 90, 140], Operations: ['95+45=140']
Exploring Operation: 27*140=3780, Resulting Numbers: [90, 3780]
Generated Node #3: [90, 3780] from Operation: 27*140=3780
Current State: 42:[90, 3780], Operations: ['95+45=140', '27*140=3780']
Exploring Operation: 3780/90=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
8,
10,
40,
9
] | 98 | [
"10-8=2",
"40+9=49",
"2*49=98"
] | Current State: 98:[8, 10, 40, 9], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [40, 9, 2]
Generated Node #2: [40, 9, 2] from Operation: 10-8=2
Current State: 98:[40, 9, 2], Operations: ['10-8=2']
Exploring Operation: 40+9=49, Resulting Numbers: [2, 49]
Generated Node #3: [2, 49] from Operation: 40+9=49
Current State: 98:[2, 49], Operations: ['10-8=2', '40+9=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
57,
77,
1,
35
] | 56 | [
"77-57=20",
"1+35=36",
"20+36=56"
] | Current State: 56:[57, 77, 1, 35], Operations: []
Exploring Operation: 77-57=20, Resulting Numbers: [1, 35, 20]
Generated Node #2: [1, 35, 20] from Operation: 77-57=20
Current State: 56:[1, 35, 20], Operations: ['77-57=20']
Exploring Operation: 1+35=36, Resulting Numbers: [20, 36]
Generated Node #3: [20, 36] from Operation: 1+35=36
Current State: 56:[20, 36], Operations: ['77-57=20', '1+35=36']
Exploring Operation: 20+36=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
20,
28,
8,
7
] | 77 | [
"20*28=560",
"560/8=70",
"7+70=77"
] | Current State: 77:[20, 28, 8, 7], Operations: []
Exploring Operation: 20*28=560, Resulting Numbers: [8, 7, 560]
Generated Node #2: [8, 7, 560] from Operation: 20*28=560
Current State: 77:[8, 7, 560], Operations: ['20*28=560']
Exploring Operation: 560/8=70, Resulting Numbers: [7, 70]
Generated Node #3: [7, 70] from Operation: 560/8=70
Current State: 77:[7, 70], Operations: ['20*28=560', '560/8=70']
Exploring Operation: 7+70=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
35,
64,
47,
37
] | 32 | [
"64+47=111",
"111/37=3",
"35-3=32"
] | Current State: 32:[35, 64, 47, 37], Operations: []
Exploring Operation: 64+47=111, Resulting Numbers: [35, 37, 111]
Generated Node #2: [35, 37, 111] from Operation: 64+47=111
Current State: 32:[35, 37, 111], Operations: ['64+47=111']
Exploring Operation: 111/37=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 111/37=3
Current State: 32:[35, 3], Operations: ['64+47=111', '111/37=3']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
62,
3,
77,
80
] | 71 | [
"80-62=18",
"18/3=6",
"77-6=71"
] | Current State: 71:[62, 3, 77, 80], Operations: []
Exploring Operation: 80-62=18, Resulting Numbers: [3, 77, 18]
Generated Node #2: [3, 77, 18] from Operation: 80-62=18
Current State: 71:[3, 77, 18], Operations: ['80-62=18']
Exploring Operation: 18/3=6, Resulting Numbers: [77, 6]
Generated Node #3: [77, 6] from Operation: 18/3=6
Current State: 71:[77, 6], Operations: ['80-62=18', '18/3=6']
Exploring Operation: 77-6=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
4,
42,
12,
64
] | 98 | [
"4+42=46",
"64-12=52",
"46+52=98"
] | Current State: 98:[4, 42, 12, 64], Operations: []
Exploring Operation: 4+42=46, Resulting Numbers: [12, 64, 46]
Generated Node #2: [12, 64, 46] from Operation: 4+42=46
Current State: 98:[12, 64, 46], Operations: ['4+42=46']
Exploring Operation: 64-12=52, Resulting Numbers: [46, 52]
Generated Node #3: [46, 52] from Operation: 64-12=52
Current State: 98:[46, 52], Operations: ['4+42=46', '64-12=52']
Exploring Operation: 46+52=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
46,
26,
3,
7
] | 13 | [
"46-7=39",
"39/3=13",
"26-13=13"
] | Current State: 13:[46, 26, 3, 7], Operations: []
Exploring Operation: 46-7=39, Resulting Numbers: [26, 3, 39]
Generated Node #2: [26, 3, 39] from Operation: 46-7=39
Current State: 13:[26, 3, 39], Operations: ['46-7=39']
Exploring Operation: 39/3=13, Resulting Numbers: [26, 13]
Generated Node #3: [26, 13] from Operation: 39/3=13
Current State: 13:[26, 13], Operations: ['46-7=39', '39/3=13']
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
8,
57,
47,
78
] | 91 | [
"57+47=104",
"104/8=13",
"78+13=91"
] | Current State: 91:[8, 57, 47, 78], Operations: []
Exploring Operation: 57+47=104, Resulting Numbers: [8, 78, 104]
Generated Node #2: [8, 78, 104] from Operation: 57+47=104
Current State: 91:[8, 78, 104], Operations: ['57+47=104']
Exploring Operation: 104/8=13, Resulting Numbers: [78, 13]
Generated Node #3: [78, 13] from Operation: 104/8=13
Current State: 91:[78, 13], Operations: ['57+47=104', '104/8=13']
Exploring Operation: 78+13=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
59,
18,
81,
52
] | 92 | [
"59-18=41",
"81+52=133",
"133-41=92"
] | Current State: 92:[59, 18, 81, 52], Operations: []
Exploring Operation: 59-18=41, Resulting Numbers: [81, 52, 41]
Generated Node #2: [81, 52, 41] from Operation: 59-18=41
Current State: 92:[81, 52, 41], Operations: ['59-18=41']
Exploring Operation: 81+52=133, Resulting Numbers: [41, 133]
Generated Node #3: [41, 133] from Operation: 81+52=133
Current State: 92:[41, 133], Operations: ['59-18=41', '81+52=133']
Exploring Operation: 133-41=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
58,
39,
35,
17
] | 79 | [
"58+39=97",
"35-17=18",
"97-18=79"
] | Current State: 79:[58, 39, 35, 17], Operations: []
Exploring Operation: 58+39=97, Resulting Numbers: [35, 17, 97]
Generated Node #2: [35, 17, 97] from Operation: 58+39=97
Current State: 79:[35, 17, 97], Operations: ['58+39=97']
Exploring Operation: 35-17=18, Resulting Numbers: [97, 18]
Generated Node #3: [97, 18] from Operation: 35-17=18
Current State: 79:[97, 18], Operations: ['58+39=97', '35-17=18']
Exploring Operation: 97-18=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
75,
5,
79,
2
] | 22 | [
"75+79=154",
"5+2=7",
"154/7=22"
] | Current State: 22:[75, 5, 79, 2], Operations: []
Exploring Operation: 75+79=154, Resulting Numbers: [5, 2, 154]
Generated Node #2: [5, 2, 154] from Operation: 75+79=154
Current State: 22:[5, 2, 154], Operations: ['75+79=154']
Exploring Operation: 5+2=7, Resulting Numbers: [154, 7]
Generated Node #3: [154, 7] from Operation: 5+2=7
Current State: 22:[154, 7], Operations: ['75+79=154', '5+2=7']
Exploring Operation: 154/7=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
72,
18,
58,
36
] | 86 | [
"72/18=4",
"36*4=144",
"144-58=86"
] | Current State: 86:[72, 18, 58, 36], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [58, 36, 4]
Generated Node #2: [58, 36, 4] from Operation: 72/18=4
Current State: 86:[58, 36, 4], Operations: ['72/18=4']
Exploring Operation: 36*4=144, Resulting Numbers: [58, 144]
Generated Node #3: [58, 144] from Operation: 36*4=144
Current State: 86:[58, 144], Operations: ['72/18=4', '36*4=144']
Exploring Operation: 144-58=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
50,
14,
51,
27
] | 88 | [
"50+14=64",
"51-27=24",
"64+24=88"
] | Current State: 88:[50, 14, 51, 27], Operations: []
Exploring Operation: 50+14=64, Resulting Numbers: [51, 27, 64]
Generated Node #2: [51, 27, 64] from Operation: 50+14=64
Current State: 88:[51, 27, 64], Operations: ['50+14=64']
Exploring Operation: 51-27=24, Resulting Numbers: [64, 24]
Generated Node #3: [64, 24] from Operation: 51-27=24
Current State: 88:[64, 24], Operations: ['50+14=64', '51-27=24']
Exploring Operation: 64+24=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
6,
29,
5,
94
] | 87 | [
"6+29=35",
"35/5=7",
"94-7=87"
] | Current State: 87:[6, 29, 5, 94], Operations: []
Exploring Operation: 6+29=35, Resulting Numbers: [5, 94, 35]
Generated Node #2: [5, 94, 35] from Operation: 6+29=35
Current State: 87:[5, 94, 35], Operations: ['6+29=35']
Exploring Operation: 35/5=7, Resulting Numbers: [94, 7]
Generated Node #3: [94, 7] from Operation: 35/5=7
Current State: 87:[94, 7], Operations: ['6+29=35', '35/5=7']
Exploring Operation: 94-7=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
61,
26,
72,
82
] | 45 | [
"61-26=35",
"82-72=10",
"35+10=45"
] | Current State: 45:[61, 26, 72, 82], Operations: []
Exploring Operation: 61-26=35, Resulting Numbers: [72, 82, 35]
Generated Node #2: [72, 82, 35] from Operation: 61-26=35
Current State: 45:[72, 82, 35], Operations: ['61-26=35']
Exploring Operation: 82-72=10, Resulting Numbers: [35, 10]
Generated Node #3: [35, 10] from Operation: 82-72=10
Current State: 45:[35, 10], Operations: ['61-26=35', '82-72=10']
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
40,
40,
47,
60
] | 27 | [
"40+40=80",
"47+60=107",
"107-80=27"
] | Current State: 27:[40, 40, 47, 60], Operations: []
Exploring Operation: 40+40=80, Resulting Numbers: [47, 60, 80]
Generated Node #2: [47, 60, 80] from Operation: 40+40=80
Current State: 27:[47, 60, 80], Operations: ['40+40=80']
Exploring Operation: 47+60=107, Resulting Numbers: [80, 107]
Generated Node #3: [80, 107] from Operation: 47+60=107
Current State: 27:[80, 107], Operations: ['40+40=80', '47+60=107']
Exploring Operation: 107-80=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
56,
59,
85,
33
] | 96 | [
"59-56=3",
"33/3=11",
"85+11=96"
] | Current State: 96:[56, 59, 85, 33], Operations: []
Exploring Operation: 59-56=3, Resulting Numbers: [85, 33, 3]
Generated Node #2: [85, 33, 3] from Operation: 59-56=3
Current State: 96:[85, 33, 3], Operations: ['59-56=3']
Exploring Operation: 33/3=11, Resulting Numbers: [85, 11]
Generated Node #3: [85, 11] from Operation: 33/3=11
Current State: 96:[85, 11], Operations: ['59-56=3', '33/3=11']
Exploring Operation: 85+11=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
75,
17,
4,
87
] | 65 | [
"87-75=12",
"4*12=48",
"17+48=65"
] | Current State: 65:[75, 17, 4, 87], Operations: []
Exploring Operation: 87-75=12, Resulting Numbers: [17, 4, 12]
Generated Node #2: [17, 4, 12] from Operation: 87-75=12
Current State: 65:[17, 4, 12], Operations: ['87-75=12']
Exploring Operation: 4*12=48, Resulting Numbers: [17, 48]
Generated Node #3: [17, 48] from Operation: 4*12=48
Current State: 65:[17, 48], Operations: ['87-75=12', '4*12=48']
Exploring Operation: 17+48=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
19,
47,
39,
43
] | 38 | [
"47+39=86",
"19*86=1634",
"1634/43=38"
] | Current State: 38:[19, 47, 39, 43], Operations: []
Exploring Operation: 47+39=86, Resulting Numbers: [19, 43, 86]
Generated Node #2: [19, 43, 86] from Operation: 47+39=86
Current State: 38:[19, 43, 86], Operations: ['47+39=86']
Exploring Operation: 19*86=1634, Resulting Numbers: [43, 1634]
Generated Node #3: [43, 1634] from Operation: 19*86=1634
Current State: 38:[43, 1634], Operations: ['47+39=86', '19*86=1634']
Exploring Operation: 1634/43=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
95,
45,
2,
61
] | 81 | [
"95+45=140",
"61-2=59",
"140-59=81"
] | Current State: 81:[95, 45, 2, 61], Operations: []
Exploring Operation: 95+45=140, Resulting Numbers: [2, 61, 140]
Generated Node #2: [2, 61, 140] from Operation: 95+45=140
Current State: 81:[2, 61, 140], Operations: ['95+45=140']
Exploring Operation: 61-2=59, Resulting Numbers: [140, 59]
Generated Node #3: [140, 59] from Operation: 61-2=59
Current State: 81:[140, 59], Operations: ['95+45=140', '61-2=59']
Exploring Operation: 140-59=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
8,
85,
37,
43
] | 83 | [
"85-8=77",
"43-37=6",
"77+6=83"
] | Current State: 83:[8, 85, 37, 43], Operations: []
Exploring Operation: 85-8=77, Resulting Numbers: [37, 43, 77]
Generated Node #2: [37, 43, 77] from Operation: 85-8=77
Current State: 83:[37, 43, 77], Operations: ['85-8=77']
Exploring Operation: 43-37=6, Resulting Numbers: [77, 6]
Generated Node #3: [77, 6] from Operation: 43-37=6
Current State: 83:[77, 6], Operations: ['85-8=77', '43-37=6']
Exploring Operation: 77+6=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
81,
79,
5,
35
] | 38 | [
"81-79=2",
"5+35=40",
"40-2=38"
] | Current State: 38:[81, 79, 5, 35], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [5, 35, 2]
Generated Node #2: [5, 35, 2] from Operation: 81-79=2
Current State: 38:[5, 35, 2], Operations: ['81-79=2']
Exploring Operation: 5+35=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 5+35=40
Current State: 38:[2, 40], Operations: ['81-79=2', '5+35=40']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
32,
45,
61,
43
] | 59 | [
"32+45=77",
"61-43=18",
"77-18=59"
] | Current State: 59:[32, 45, 61, 43], Operations: []
Exploring Operation: 32+45=77, Resulting Numbers: [61, 43, 77]
Generated Node #2: [61, 43, 77] from Operation: 32+45=77
Current State: 59:[61, 43, 77], Operations: ['32+45=77']
Exploring Operation: 61-43=18, Resulting Numbers: [77, 18]
Generated Node #3: [77, 18] from Operation: 61-43=18
Current State: 59:[77, 18], Operations: ['32+45=77', '61-43=18']
Exploring Operation: 77-18=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
2,
70,
82,
48
] | 100 | [
"70+82=152",
"48+152=200",
"200/2=100"
] | Current State: 100:[2, 70, 82, 48], Operations: []
Exploring Operation: 70+82=152, Resulting Numbers: [2, 48, 152]
Generated Node #2: [2, 48, 152] from Operation: 70+82=152
Current State: 100:[2, 48, 152], Operations: ['70+82=152']
Exploring Operation: 48+152=200, Resulting Numbers: [2, 200]
Generated Node #3: [2, 200] from Operation: 48+152=200
Current State: 100:[2, 200], Operations: ['70+82=152', '48+152=200']
Exploring Operation: 200/2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
60,
30,
22,
44
] | 64 | [
"60/30=2",
"22+44=66",
"66-2=64"
] | Current State: 64:[60, 30, 22, 44], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [22, 44, 2]
Generated Node #2: [22, 44, 2] from Operation: 60/30=2
Current State: 64:[22, 44, 2], Operations: ['60/30=2']
Exploring Operation: 22+44=66, Resulting Numbers: [2, 66]
Generated Node #3: [2, 66] from Operation: 22+44=66
Current State: 64:[2, 66], Operations: ['60/30=2', '22+44=66']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
5,
58,
76,
86
] | 56 | [
"86-76=10",
"10/5=2",
"58-2=56"
] | Current State: 56:[5, 58, 76, 86], Operations: []
Exploring Operation: 86-76=10, Resulting Numbers: [5, 58, 10]
Generated Node #2: [5, 58, 10] from Operation: 86-76=10
Current State: 56:[5, 58, 10], Operations: ['86-76=10']
Exploring Operation: 10/5=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 10/5=2
Current State: 56:[58, 2], Operations: ['86-76=10', '10/5=2']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
60,
40,
46,
74
] | 65 | [
"60*74=4440",
"4440/40=111",
"111-46=65"
] | Current State: 65:[60, 40, 46, 74], Operations: []
Exploring Operation: 60*74=4440, Resulting Numbers: [40, 46, 4440]
Generated Node #2: [40, 46, 4440] from Operation: 60*74=4440
Current State: 65:[40, 46, 4440], Operations: ['60*74=4440']
Exploring Operation: 4440/40=111, Resulting Numbers: [46, 111]
Generated Node #3: [46, 111] from Operation: 4440/40=111
Current State: 65:[46, 111], Operations: ['60*74=4440', '4440/40=111']
Exploring Operation: 111-46=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
32,
22,
66,
44
] | 31 | [
"66-22=44",
"44/44=1",
"32-1=31"
] | Current State: 31:[32, 22, 66, 44], Operations: []
Exploring Operation: 66-22=44, Resulting Numbers: [32, 44, 44]
Generated Node #2: [32, 44, 44] from Operation: 66-22=44
Current State: 31:[32, 44, 44], Operations: ['66-22=44']
Exploring Operation: 44/44=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 44/44=1
Current State: 31:[32, 1], Operations: ['66-22=44', '44/44=1']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
48,
30,
74,
78
] | 64 | [
"30+74=104",
"48*104=4992",
"4992/78=64"
] | Current State: 64:[48, 30, 74, 78], Operations: []
Exploring Operation: 30+74=104, Resulting Numbers: [48, 78, 104]
Generated Node #2: [48, 78, 104] from Operation: 30+74=104
Current State: 64:[48, 78, 104], Operations: ['30+74=104']
Exploring Operation: 48*104=4992, Resulting Numbers: [78, 4992]
Generated Node #3: [78, 4992] from Operation: 48*104=4992
Current State: 64:[78, 4992], Operations: ['30+74=104', '48*104=4992']
Exploring Operation: 4992/78=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
84,
16,
77,
81
] | 29 | [
"84-81=3",
"16*3=48",
"77-48=29"
] | Current State: 29:[84, 16, 77, 81], Operations: []
Exploring Operation: 84-81=3, Resulting Numbers: [16, 77, 3]
Generated Node #2: [16, 77, 3] from Operation: 84-81=3
Current State: 29:[16, 77, 3], Operations: ['84-81=3']
Exploring Operation: 16*3=48, Resulting Numbers: [77, 48]
Generated Node #3: [77, 48] from Operation: 16*3=48
Current State: 29:[77, 48], Operations: ['84-81=3', '16*3=48']
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
62,
16,
1,
38
] | 41 | [
"62+16=78",
"38-1=37",
"78-37=41"
] | Current State: 41:[62, 16, 1, 38], Operations: []
Exploring Operation: 62+16=78, Resulting Numbers: [1, 38, 78]
Generated Node #2: [1, 38, 78] from Operation: 62+16=78
Current State: 41:[1, 38, 78], Operations: ['62+16=78']
Exploring Operation: 38-1=37, Resulting Numbers: [78, 37]
Generated Node #3: [78, 37] from Operation: 38-1=37
Current State: 41:[78, 37], Operations: ['62+16=78', '38-1=37']
Exploring Operation: 78-37=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
45,
13,
52,
16
] | 96 | [
"45+13=58",
"58-52=6",
"16*6=96"
] | Current State: 96:[45, 13, 52, 16], Operations: []
Exploring Operation: 45+13=58, Resulting Numbers: [52, 16, 58]
Generated Node #2: [52, 16, 58] from Operation: 45+13=58
Current State: 96:[52, 16, 58], Operations: ['45+13=58']
Exploring Operation: 58-52=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 58-52=6
Current State: 96:[16, 6], Operations: ['45+13=58', '58-52=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
8,
63,
3,
75
] | 54 | [
"63+75=138",
"138/3=46",
"8+46=54"
] | Current State: 54:[8, 63, 3, 75], Operations: []
Exploring Operation: 63+75=138, Resulting Numbers: [8, 3, 138]
Generated Node #2: [8, 3, 138] from Operation: 63+75=138
Current State: 54:[8, 3, 138], Operations: ['63+75=138']
Exploring Operation: 138/3=46, Resulting Numbers: [8, 46]
Generated Node #3: [8, 46] from Operation: 138/3=46
Current State: 54:[8, 46], Operations: ['63+75=138', '138/3=46']
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
18,
24,
29,
27
] | 62 | [
"24-18=6",
"29+27=56",
"6+56=62"
] | Current State: 62:[18, 24, 29, 27], Operations: []
Exploring Operation: 24-18=6, Resulting Numbers: [29, 27, 6]
Generated Node #2: [29, 27, 6] from Operation: 24-18=6
Current State: 62:[29, 27, 6], Operations: ['24-18=6']
Exploring Operation: 29+27=56, Resulting Numbers: [6, 56]
Generated Node #3: [6, 56] from Operation: 29+27=56
Current State: 62:[6, 56], Operations: ['24-18=6', '29+27=56']
Exploring Operation: 6+56=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
71,
57,
83,
9
] | 88 | [
"71-57=14",
"83-9=74",
"14+74=88"
] | Current State: 88:[71, 57, 83, 9], Operations: []
Exploring Operation: 71-57=14, Resulting Numbers: [83, 9, 14]
Generated Node #2: [83, 9, 14] from Operation: 71-57=14
Current State: 88:[83, 9, 14], Operations: ['71-57=14']
Exploring Operation: 83-9=74, Resulting Numbers: [14, 74]
Generated Node #3: [14, 74] from Operation: 83-9=74
Current State: 88:[14, 74], Operations: ['71-57=14', '83-9=74']
Exploring Operation: 14+74=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
31,
37,
13,
16
] | 15 | [
"31*16=496",
"37*13=481",
"496-481=15"
] | Current State: 15:[31, 37, 13, 16], Operations: []
Exploring Operation: 31*16=496, Resulting Numbers: [37, 13, 496]
Generated Node #2: [37, 13, 496] from Operation: 31*16=496
Current State: 15:[37, 13, 496], Operations: ['31*16=496']
Exploring Operation: 37*13=481, Resulting Numbers: [496, 481]
Generated Node #3: [496, 481] from Operation: 37*13=481
Current State: 15:[496, 481], Operations: ['31*16=496', '37*13=481']
Exploring Operation: 496-481=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
12,
98,
64,
86
] | 64 | [
"98-12=86",
"64+86=150",
"150-86=64"
] | Current State: 64:[12, 98, 64, 86], Operations: []
Exploring Operation: 98-12=86, Resulting Numbers: [64, 86, 86]
Generated Node #2: [64, 86, 86] from Operation: 98-12=86
Current State: 64:[64, 86, 86], Operations: ['98-12=86']
Exploring Operation: 64+86=150, Resulting Numbers: [150]
150,64 equal: Goal Reached
Exploring Operation: 150-86=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
70,
17,
66,
36
] | 32 | [
"70-66=4",
"17*4=68",
"68-36=32"
] | Current State: 32:[70, 17, 66, 36], Operations: []
Exploring Operation: 70-66=4, Resulting Numbers: [17, 36, 4]
Generated Node #2: [17, 36, 4] from Operation: 70-66=4
Current State: 32:[17, 36, 4], Operations: ['70-66=4']
Exploring Operation: 17*4=68, Resulting Numbers: [36, 68]
Generated Node #3: [36, 68] from Operation: 17*4=68
Current State: 32:[36, 68], Operations: ['70-66=4', '17*4=68']
Exploring Operation: 68-36=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
91,
27,
9,
52
] | 57 | [
"91+27=118",
"9+52=61",
"118-61=57"
] | Current State: 57:[91, 27, 9, 52], Operations: []
Exploring Operation: 91+27=118, Resulting Numbers: [9, 52, 118]
Generated Node #2: [9, 52, 118] from Operation: 91+27=118
Current State: 57:[9, 52, 118], Operations: ['91+27=118']
Exploring Operation: 9+52=61, Resulting Numbers: [118, 61]
Generated Node #3: [118, 61] from Operation: 9+52=61
Current State: 57:[118, 61], Operations: ['91+27=118', '9+52=61']
Exploring Operation: 118-61=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
24,
2,
72,
16
] | 100 | [
"24/2=12",
"72+16=88",
"12+88=100"
] | Current State: 100:[24, 2, 72, 16], Operations: []
Exploring Operation: 24/2=12, Resulting Numbers: [72, 16, 12]
Generated Node #2: [72, 16, 12] from Operation: 24/2=12
Current State: 100:[72, 16, 12], Operations: ['24/2=12']
Exploring Operation: 72+16=88, Resulting Numbers: [12, 88]
Generated Node #3: [12, 88] from Operation: 72+16=88
Current State: 100:[12, 88], Operations: ['24/2=12', '72+16=88']
Exploring Operation: 12+88=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
68,
47,
40,
48
] | 27 | [
"68+47=115",
"40+48=88",
"115-88=27"
] | Current State: 27:[68, 47, 40, 48], Operations: []
Exploring Operation: 68+47=115, Resulting Numbers: [40, 48, 115]
Generated Node #2: [40, 48, 115] from Operation: 68+47=115
Current State: 27:[40, 48, 115], Operations: ['68+47=115']
Exploring Operation: 40+48=88, Resulting Numbers: [115, 88]
Generated Node #3: [115, 88] from Operation: 40+48=88
Current State: 27:[115, 88], Operations: ['68+47=115', '40+48=88']
Exploring Operation: 115-88=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
65,
35,
31,
10
] | 51 | [
"65-35=30",
"31-10=21",
"30+21=51"
] | Current State: 51:[65, 35, 31, 10], Operations: []
Exploring Operation: 65-35=30, Resulting Numbers: [31, 10, 30]
Generated Node #2: [31, 10, 30] from Operation: 65-35=30
Current State: 51:[31, 10, 30], Operations: ['65-35=30']
Exploring Operation: 31-10=21, Resulting Numbers: [30, 21]
Generated Node #3: [30, 21] from Operation: 31-10=21
Current State: 51:[30, 21], Operations: ['65-35=30', '31-10=21']
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
87,
73,
85,
46
] | 29 | [
"87+73=160",
"85+46=131",
"160-131=29"
] | Current State: 29:[87, 73, 85, 46], Operations: []
Exploring Operation: 87+73=160, Resulting Numbers: [85, 46, 160]
Generated Node #2: [85, 46, 160] from Operation: 87+73=160
Current State: 29:[85, 46, 160], Operations: ['87+73=160']
Exploring Operation: 85+46=131, Resulting Numbers: [160, 131]
Generated Node #3: [160, 131] from Operation: 85+46=131
Current State: 29:[160, 131], Operations: ['87+73=160', '85+46=131']
Exploring Operation: 160-131=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
82,
34,
34,
5
] | 76 | [
"82-5=77",
"34/34=1",
"77-1=76"
] | Current State: 76:[82, 34, 34, 5], Operations: []
Exploring Operation: 82-5=77, Resulting Numbers: [34, 34, 77]
Generated Node #2: [34, 34, 77] from Operation: 82-5=77
Current State: 76:[34, 34, 77], Operations: ['82-5=77']
Exploring Operation: 34/34=1, Resulting Numbers: [77, 1]
Generated Node #3: [77, 1] from Operation: 34/34=1
Current State: 76:[77, 1], Operations: ['82-5=77', '34/34=1']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
63,
67,
2,
57
] | 49 | [
"67-63=4",
"2*4=8",
"57-8=49"
] | Current State: 49:[63, 67, 2, 57], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [2, 57, 4]
Generated Node #2: [2, 57, 4] from Operation: 67-63=4
Current State: 49:[2, 57, 4], Operations: ['67-63=4']
Exploring Operation: 2*4=8, Resulting Numbers: [57, 8]
Generated Node #3: [57, 8] from Operation: 2*4=8
Current State: 49:[57, 8], Operations: ['67-63=4', '2*4=8']
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
11,
16,
6,
5
] | 77 | [
"11*6=66",
"16-5=11",
"66+11=77"
] | Current State: 77:[11, 16, 6, 5], Operations: []
Exploring Operation: 11*6=66, Resulting Numbers: [16, 5, 66]
Generated Node #2: [16, 5, 66] from Operation: 11*6=66
Current State: 77:[16, 5, 66], Operations: ['11*6=66']
Exploring Operation: 16-5=11, Resulting Numbers: [66, 11]
Generated Node #3: [66, 11] from Operation: 16-5=11
Current State: 77:[66, 11], Operations: ['11*6=66', '16-5=11']
Exploring Operation: 66+11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
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