nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
94,
41,
4,
26
] | 34 | [
"41-26=15",
"4*15=60",
"94-60=34"
] | Current State: 34:[94, 41, 4, 26], Operations: []
Exploring Operation: 41-26=15, Resulting Numbers: [94, 4, 15]
Generated Node #2: [94, 4, 15] from Operation: 41-26=15
Current State: 34:[94, 4, 15], Operations: ['41-26=15']
Exploring Operation: 4*15=60, Resulting Numbers: [94, 60]
Generated Node #3: [94, 60] from Operation: 4*15=60
Current State: 34:[94, 60], Operations: ['41-26=15', '4*15=60']
Exploring Operation: 94-60=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
28,
75,
4,
13
] | 95 | [
"28/4=7",
"75+13=88",
"7+88=95"
] | Current State: 95:[28, 75, 4, 13], Operations: []
Exploring Operation: 28/4=7, Resulting Numbers: [75, 13, 7]
Generated Node #2: [75, 13, 7] from Operation: 28/4=7
Current State: 95:[75, 13, 7], Operations: ['28/4=7']
Exploring Operation: 75+13=88, Resulting Numbers: [7, 88]
Generated Node #3: [7, 88] from Operation: 75+13=88
Current State: 95:[7, 88], Operations: ['28/4=7', '75+13=88']
Exploring Operation: 7+88=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
10,
72,
4,
4
] | 82 | [
"10+72=82",
"4-4=0",
"82+0=82"
] | Current State: 82:[10, 72, 4, 4], Operations: []
Exploring Operation: 10+72=82, Resulting Numbers: [4, 4, 82]
Generated Node #2: [4, 4, 82] from Operation: 10+72=82
Current State: 82:[4, 4, 82], Operations: ['10+72=82']
Exploring Operation: 4-4=0, Resulting Numbers: [82, 0]
Generated Node #3: [82, 0] from Operation: 4-4=0
Current State: 82:[82, 0], Operations: ['10+72=82', '4-4=0']
Exploring Operation: 82+0=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
3,
33,
64,
18
] | 66 | [
"3+33=36",
"36/18=2",
"64+2=66"
] | Current State: 66:[3, 33, 64, 18], Operations: []
Exploring Operation: 3+33=36, Resulting Numbers: [64, 18, 36]
Generated Node #2: [64, 18, 36] from Operation: 3+33=36
Current State: 66:[64, 18, 36], Operations: ['3+33=36']
Exploring Operation: 36/18=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 36/18=2
Current State: 66:[64, 2], Operations: ['3+33=36', '36/18=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
66,
86,
18,
65
] | 77 | [
"86-65=21",
"66*21=1386",
"1386/18=77"
] | Current State: 77:[66, 86, 18, 65], Operations: []
Exploring Operation: 86-65=21, Resulting Numbers: [66, 18, 21]
Generated Node #2: [66, 18, 21] from Operation: 86-65=21
Current State: 77:[66, 18, 21], Operations: ['86-65=21']
Exploring Operation: 66*21=1386, Resulting Numbers: [18, 1386]
Generated Node #3: [18, 1386] from Operation: 66*21=1386
Current State: 77:[18, 1386], Operations: ['86-65=21', '66*21=1386']
Exploring Operation: 1386/18=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
68,
80,
4,
62
] | 90 | [
"68+80=148",
"62-4=58",
"148-58=90"
] | Current State: 90:[68, 80, 4, 62], Operations: []
Exploring Operation: 68+80=148, Resulting Numbers: [4, 62, 148]
Generated Node #2: [4, 62, 148] from Operation: 68+80=148
Current State: 90:[4, 62, 148], Operations: ['68+80=148']
Exploring Operation: 62-4=58, Resulting Numbers: [148, 58]
Generated Node #3: [148, 58] from Operation: 62-4=58
Current State: 90:[148, 58], Operations: ['68+80=148', '62-4=58']
Exploring Operation: 148-58=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
90,
54,
5,
50
] | 35 | [
"54*50=2700",
"2700/90=30",
"5+30=35"
] | Current State: 35:[90, 54, 5, 50], Operations: []
Exploring Operation: 54*50=2700, Resulting Numbers: [90, 5, 2700]
Generated Node #2: [90, 5, 2700] from Operation: 54*50=2700
Current State: 35:[90, 5, 2700], Operations: ['54*50=2700']
Exploring Operation: 2700/90=30, Resulting Numbers: [5, 30]
Generated Node #3: [5, 30] from Operation: 2700/90=30
Current State: 35:[5, 30], Operations: ['54*50=2700', '2700/90=30']
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
5,
46,
58,
11
] | 98 | [
"5+46=51",
"58-11=47",
"51+47=98"
] | Current State: 98:[5, 46, 58, 11], Operations: []
Exploring Operation: 5+46=51, Resulting Numbers: [58, 11, 51]
Generated Node #2: [58, 11, 51] from Operation: 5+46=51
Current State: 98:[58, 11, 51], Operations: ['5+46=51']
Exploring Operation: 58-11=47, Resulting Numbers: [51, 47]
Generated Node #3: [51, 47] from Operation: 58-11=47
Current State: 98:[51, 47], Operations: ['5+46=51', '58-11=47']
Exploring Operation: 51+47=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
94,
2,
13,
10
] | 100 | [
"13-10=3",
"2*3=6",
"94+6=100"
] | Current State: 100:[94, 2, 13, 10], Operations: []
Exploring Operation: 13-10=3, Resulting Numbers: [94, 2, 3]
Generated Node #2: [94, 2, 3] from Operation: 13-10=3
Current State: 100:[94, 2, 3], Operations: ['13-10=3']
Exploring Operation: 2*3=6, Resulting Numbers: [94, 6]
Generated Node #3: [94, 6] from Operation: 2*3=6
Current State: 100:[94, 6], Operations: ['13-10=3', '2*3=6']
Exploring Operation: 94+6=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
40,
20,
24,
15
] | 96 | [
"40+20=60",
"24*60=1440",
"1440/15=96"
] | Current State: 96:[40, 20, 24, 15], Operations: []
Exploring Operation: 40+20=60, Resulting Numbers: [24, 15, 60]
Generated Node #2: [24, 15, 60] from Operation: 40+20=60
Current State: 96:[24, 15, 60], Operations: ['40+20=60']
Exploring Operation: 24*60=1440, Resulting Numbers: [15, 1440]
Generated Node #3: [15, 1440] from Operation: 24*60=1440
Current State: 96:[15, 1440], Operations: ['40+20=60', '24*60=1440']
Exploring Operation: 1440/15=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
1,
18,
95,
91
] | 76 | [
"1+18=19",
"95-91=4",
"19*4=76"
] | Current State: 76:[1, 18, 95, 91], Operations: []
Exploring Operation: 1+18=19, Resulting Numbers: [95, 91, 19]
Generated Node #2: [95, 91, 19] from Operation: 1+18=19
Current State: 76:[95, 91, 19], Operations: ['1+18=19']
Exploring Operation: 95-91=4, Resulting Numbers: [19, 4]
Generated Node #3: [19, 4] from Operation: 95-91=4
Current State: 76:[19, 4], Operations: ['1+18=19', '95-91=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
18,
58,
29,
10
] | 19 | [
"18*29=522",
"522/58=9",
"10+9=19"
] | Current State: 19:[18, 58, 29, 10], Operations: []
Exploring Operation: 18*29=522, Resulting Numbers: [58, 10, 522]
Generated Node #2: [58, 10, 522] from Operation: 18*29=522
Current State: 19:[58, 10, 522], Operations: ['18*29=522']
Exploring Operation: 522/58=9, Resulting Numbers: [10, 9]
Generated Node #3: [10, 9] from Operation: 522/58=9
Current State: 19:[10, 9], Operations: ['18*29=522', '522/58=9']
Exploring Operation: 10+9=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
74,
56,
7,
41
] | 31 | [
"56-41=15",
"7*15=105",
"105-74=31"
] | Current State: 31:[74, 56, 7, 41], Operations: []
Exploring Operation: 56-41=15, Resulting Numbers: [74, 7, 15]
Generated Node #2: [74, 7, 15] from Operation: 56-41=15
Current State: 31:[74, 7, 15], Operations: ['56-41=15']
Exploring Operation: 7*15=105, Resulting Numbers: [74, 105]
Generated Node #3: [74, 105] from Operation: 7*15=105
Current State: 31:[74, 105], Operations: ['56-41=15', '7*15=105']
Exploring Operation: 105-74=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
82,
29,
13,
58
] | 97 | [
"82+13=95",
"58/29=2",
"95+2=97"
] | Current State: 97:[82, 29, 13, 58], Operations: []
Exploring Operation: 82+13=95, Resulting Numbers: [29, 58, 95]
Generated Node #2: [29, 58, 95] from Operation: 82+13=95
Current State: 97:[29, 58, 95], Operations: ['82+13=95']
Exploring Operation: 58/29=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 58/29=2
Current State: 97:[95, 2], Operations: ['82+13=95', '58/29=2']
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
3,
4,
31,
45
] | 69 | [
"3+4=7",
"31+45=76",
"76-7=69"
] | Current State: 69:[3, 4, 31, 45], Operations: []
Exploring Operation: 3+4=7, Resulting Numbers: [31, 45, 7]
Generated Node #2: [31, 45, 7] from Operation: 3+4=7
Current State: 69:[31, 45, 7], Operations: ['3+4=7']
Exploring Operation: 31+45=76, Resulting Numbers: [7, 76]
Generated Node #3: [7, 76] from Operation: 31+45=76
Current State: 69:[7, 76], Operations: ['3+4=7', '31+45=76']
Exploring Operation: 76-7=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
4,
85,
95,
19
] | 66 | [
"4*19=76",
"95-85=10",
"76-10=66"
] | Current State: 66:[4, 85, 95, 19], Operations: []
Exploring Operation: 4*19=76, Resulting Numbers: [85, 95, 76]
Generated Node #2: [85, 95, 76] from Operation: 4*19=76
Current State: 66:[85, 95, 76], Operations: ['4*19=76']
Exploring Operation: 95-85=10, Resulting Numbers: [76, 10]
Generated Node #3: [76, 10] from Operation: 95-85=10
Current State: 66:[76, 10], Operations: ['4*19=76', '95-85=10']
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
71,
4,
98,
72
] | 41 | [
"71-4=67",
"98-72=26",
"67-26=41"
] | Current State: 41:[71, 4, 98, 72], Operations: []
Exploring Operation: 71-4=67, Resulting Numbers: [98, 72, 67]
Generated Node #2: [98, 72, 67] from Operation: 71-4=67
Current State: 41:[98, 72, 67], Operations: ['71-4=67']
Exploring Operation: 98-72=26, Resulting Numbers: [67, 26]
Generated Node #3: [67, 26] from Operation: 98-72=26
Current State: 41:[67, 26], Operations: ['71-4=67', '98-72=26']
Exploring Operation: 67-26=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
97,
55,
13,
52
] | 58 | [
"55-52=3",
"13*3=39",
"97-39=58"
] | Current State: 58:[97, 55, 13, 52], Operations: []
Exploring Operation: 55-52=3, Resulting Numbers: [97, 13, 3]
Generated Node #2: [97, 13, 3] from Operation: 55-52=3
Current State: 58:[97, 13, 3], Operations: ['55-52=3']
Exploring Operation: 13*3=39, Resulting Numbers: [97, 39]
Generated Node #3: [97, 39] from Operation: 13*3=39
Current State: 58:[97, 39], Operations: ['55-52=3', '13*3=39']
Exploring Operation: 97-39=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
23,
31,
21,
14
] | 34 | [
"23-21=2",
"31-14=17",
"2*17=34"
] | Current State: 34:[23, 31, 21, 14], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [31, 14, 2]
Generated Node #2: [31, 14, 2] from Operation: 23-21=2
Current State: 34:[31, 14, 2], Operations: ['23-21=2']
Exploring Operation: 31-14=17, Resulting Numbers: [2, 17]
Generated Node #3: [2, 17] from Operation: 31-14=17
Current State: 34:[2, 17], Operations: ['23-21=2', '31-14=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
5,
47,
1,
10
] | 31 | [
"47-5=42",
"1+10=11",
"42-11=31"
] | Current State: 31:[5, 47, 1, 10], Operations: []
Exploring Operation: 47-5=42, Resulting Numbers: [1, 10, 42]
Generated Node #2: [1, 10, 42] from Operation: 47-5=42
Current State: 31:[1, 10, 42], Operations: ['47-5=42']
Exploring Operation: 1+10=11, Resulting Numbers: [42, 11]
Generated Node #3: [42, 11] from Operation: 1+10=11
Current State: 31:[42, 11], Operations: ['47-5=42', '1+10=11']
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
62,
48,
37,
11
] | 27 | [
"62+48=110",
"110/11=10",
"37-10=27"
] | Current State: 27:[62, 48, 37, 11], Operations: []
Exploring Operation: 62+48=110, Resulting Numbers: [37, 11, 110]
Generated Node #2: [37, 11, 110] from Operation: 62+48=110
Current State: 27:[37, 11, 110], Operations: ['62+48=110']
Exploring Operation: 110/11=10, Resulting Numbers: [37, 10]
Generated Node #3: [37, 10] from Operation: 110/11=10
Current State: 27:[37, 10], Operations: ['62+48=110', '110/11=10']
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
5,
59,
3,
15
] | 66 | [
"59-5=54",
"15-3=12",
"54+12=66"
] | Current State: 66:[5, 59, 3, 15], Operations: []
Exploring Operation: 59-5=54, Resulting Numbers: [3, 15, 54]
Generated Node #2: [3, 15, 54] from Operation: 59-5=54
Current State: 66:[3, 15, 54], Operations: ['59-5=54']
Exploring Operation: 15-3=12, Resulting Numbers: [54, 12]
Generated Node #3: [54, 12] from Operation: 15-3=12
Current State: 66:[54, 12], Operations: ['59-5=54', '15-3=12']
Exploring Operation: 54+12=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
27,
8,
91,
80
] | 81 | [
"91-8=83",
"83-80=3",
"27*3=81"
] | Current State: 81:[27, 8, 91, 80], Operations: []
Exploring Operation: 91-8=83, Resulting Numbers: [27, 80, 83]
Generated Node #2: [27, 80, 83] from Operation: 91-8=83
Current State: 81:[27, 80, 83], Operations: ['91-8=83']
Exploring Operation: 83-80=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 83-80=3
Current State: 81:[27, 3], Operations: ['91-8=83', '83-80=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
37,
76,
10,
47
] | 80 | [
"76-37=39",
"47-39=8",
"10*8=80"
] | Current State: 80:[37, 76, 10, 47], Operations: []
Exploring Operation: 76-37=39, Resulting Numbers: [10, 47, 39]
Generated Node #2: [10, 47, 39] from Operation: 76-37=39
Current State: 80:[10, 47, 39], Operations: ['76-37=39']
Exploring Operation: 47-39=8, Resulting Numbers: [10, 8]
Generated Node #3: [10, 8] from Operation: 47-39=8
Current State: 80:[10, 8], Operations: ['76-37=39', '47-39=8']
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
89,
12,
8,
89
] | 95 | [
"89/89=1",
"12*8=96",
"96-1=95"
] | Current State: 95:[89, 12, 8, 89], Operations: []
Exploring Operation: 89/89=1, Resulting Numbers: [12, 8, 1]
Generated Node #2: [12, 8, 1] from Operation: 89/89=1
Current State: 95:[12, 8, 1], Operations: ['89/89=1']
Exploring Operation: 12*8=96, Resulting Numbers: [1, 96]
Generated Node #3: [1, 96] from Operation: 12*8=96
Current State: 95:[1, 96], Operations: ['89/89=1', '12*8=96']
Exploring Operation: 96-1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
33,
43,
50,
91
] | 46 | [
"50-43=7",
"91/7=13",
"33+13=46"
] | Current State: 46:[33, 43, 50, 91], Operations: []
Exploring Operation: 50-43=7, Resulting Numbers: [33, 91, 7]
Generated Node #2: [33, 91, 7] from Operation: 50-43=7
Current State: 46:[33, 91, 7], Operations: ['50-43=7']
Exploring Operation: 91/7=13, Resulting Numbers: [33, 13]
Generated Node #3: [33, 13] from Operation: 91/7=13
Current State: 46:[33, 13], Operations: ['50-43=7', '91/7=13']
Exploring Operation: 33+13=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
43,
11,
34,
36
] | 72 | [
"43-11=32",
"34-32=2",
"36*2=72"
] | Current State: 72:[43, 11, 34, 36], Operations: []
Exploring Operation: 43-11=32, Resulting Numbers: [34, 36, 32]
Generated Node #2: [34, 36, 32] from Operation: 43-11=32
Current State: 72:[34, 36, 32], Operations: ['43-11=32']
Exploring Operation: 34-32=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 34-32=2
Current State: 72:[36, 2], Operations: ['43-11=32', '34-32=2']
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
83,
20,
80,
72
] | 70 | [
"83-20=63",
"80*63=5040",
"5040/72=70"
] | Current State: 70:[83, 20, 80, 72], Operations: []
Exploring Operation: 83-20=63, Resulting Numbers: [80, 72, 63]
Generated Node #2: [80, 72, 63] from Operation: 83-20=63
Current State: 70:[80, 72, 63], Operations: ['83-20=63']
Exploring Operation: 80*63=5040, Resulting Numbers: [72, 5040]
Generated Node #3: [72, 5040] from Operation: 80*63=5040
Current State: 70:[72, 5040], Operations: ['83-20=63', '80*63=5040']
Exploring Operation: 5040/72=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
31,
71,
76,
58
] | 22 | [
"71-31=40",
"76-58=18",
"40-18=22"
] | Current State: 22:[31, 71, 76, 58], Operations: []
Exploring Operation: 71-31=40, Resulting Numbers: [76, 58, 40]
Generated Node #2: [76, 58, 40] from Operation: 71-31=40
Current State: 22:[76, 58, 40], Operations: ['71-31=40']
Exploring Operation: 76-58=18, Resulting Numbers: [40, 18]
Generated Node #3: [40, 18] from Operation: 76-58=18
Current State: 22:[40, 18], Operations: ['71-31=40', '76-58=18']
Exploring Operation: 40-18=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
4,
59,
57,
69
] | 51 | [
"4+59=63",
"69-57=12",
"63-12=51"
] | Current State: 51:[4, 59, 57, 69], Operations: []
Exploring Operation: 4+59=63, Resulting Numbers: [57, 69, 63]
Generated Node #2: [57, 69, 63] from Operation: 4+59=63
Current State: 51:[57, 69, 63], Operations: ['4+59=63']
Exploring Operation: 69-57=12, Resulting Numbers: [63, 12]
Generated Node #3: [63, 12] from Operation: 69-57=12
Current State: 51:[63, 12], Operations: ['4+59=63', '69-57=12']
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
3,
80,
7,
35
] | 49 | [
"80-3=77",
"35-7=28",
"77-28=49"
] | Current State: 49:[3, 80, 7, 35], Operations: []
Exploring Operation: 80-3=77, Resulting Numbers: [7, 35, 77]
Generated Node #2: [7, 35, 77] from Operation: 80-3=77
Current State: 49:[7, 35, 77], Operations: ['80-3=77']
Exploring Operation: 35-7=28, Resulting Numbers: [77, 28]
Generated Node #3: [77, 28] from Operation: 35-7=28
Current State: 49:[77, 28], Operations: ['80-3=77', '35-7=28']
Exploring Operation: 77-28=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
71,
48,
8,
41
] | 34 | [
"71+41=112",
"112/8=14",
"48-14=34"
] | Current State: 34:[71, 48, 8, 41], Operations: []
Exploring Operation: 71+41=112, Resulting Numbers: [48, 8, 112]
Generated Node #2: [48, 8, 112] from Operation: 71+41=112
Current State: 34:[48, 8, 112], Operations: ['71+41=112']
Exploring Operation: 112/8=14, Resulting Numbers: [48, 14]
Generated Node #3: [48, 14] from Operation: 112/8=14
Current State: 34:[48, 14], Operations: ['71+41=112', '112/8=14']
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
38,
34,
21,
85
] | 29 | [
"38-21=17",
"85/17=5",
"34-5=29"
] | Current State: 29:[38, 34, 21, 85], Operations: []
Exploring Operation: 38-21=17, Resulting Numbers: [34, 85, 17]
Generated Node #2: [34, 85, 17] from Operation: 38-21=17
Current State: 29:[34, 85, 17], Operations: ['38-21=17']
Exploring Operation: 85/17=5, Resulting Numbers: [34, 5]
Generated Node #3: [34, 5] from Operation: 85/17=5
Current State: 29:[34, 5], Operations: ['38-21=17', '85/17=5']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
43,
28,
22,
2
] | 27 | [
"43+28=71",
"22*2=44",
"71-44=27"
] | Current State: 27:[43, 28, 22, 2], Operations: []
Exploring Operation: 43+28=71, Resulting Numbers: [22, 2, 71]
Generated Node #2: [22, 2, 71] from Operation: 43+28=71
Current State: 27:[22, 2, 71], Operations: ['43+28=71']
Exploring Operation: 22*2=44, Resulting Numbers: [71, 44]
Generated Node #3: [71, 44] from Operation: 22*2=44
Current State: 27:[71, 44], Operations: ['43+28=71', '22*2=44']
Exploring Operation: 71-44=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
45,
6,
36,
9
] | 27 | [
"45-6=39",
"39-36=3",
"9*3=27"
] | Current State: 27:[45, 6, 36, 9], Operations: []
Exploring Operation: 45-6=39, Resulting Numbers: [36, 9, 39]
Generated Node #2: [36, 9, 39] from Operation: 45-6=39
Current State: 27:[36, 9, 39], Operations: ['45-6=39']
Exploring Operation: 39-36=3, Resulting Numbers: [9, 3]
Generated Node #3: [9, 3] from Operation: 39-36=3
Current State: 27:[9, 3], Operations: ['45-6=39', '39-36=3']
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
89,
85,
32,
80
] | 28 | [
"89-85=4",
"32+80=112",
"112/4=28"
] | Current State: 28:[89, 85, 32, 80], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [32, 80, 4]
Generated Node #2: [32, 80, 4] from Operation: 89-85=4
Current State: 28:[32, 80, 4], Operations: ['89-85=4']
Exploring Operation: 32+80=112, Resulting Numbers: [4, 112]
Generated Node #3: [4, 112] from Operation: 32+80=112
Current State: 28:[4, 112], Operations: ['89-85=4', '32+80=112']
Exploring Operation: 112/4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
3,
30,
45,
58
] | 60 | [
"3*30=90",
"90/45=2",
"58+2=60"
] | Current State: 60:[3, 30, 45, 58], Operations: []
Exploring Operation: 3*30=90, Resulting Numbers: [45, 58, 90]
Generated Node #2: [45, 58, 90] from Operation: 3*30=90
Current State: 60:[45, 58, 90], Operations: ['3*30=90']
Exploring Operation: 90/45=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 90/45=2
Current State: 60:[58, 2], Operations: ['3*30=90', '90/45=2']
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
50,
71,
1,
1
] | 96 | [
"1+1=2",
"50/2=25",
"71+25=96"
] | Current State: 96:[50, 71, 1, 1], Operations: []
Exploring Operation: 1+1=2, Resulting Numbers: [50, 71, 2]
Generated Node #2: [50, 71, 2] from Operation: 1+1=2
Current State: 96:[50, 71, 2], Operations: ['1+1=2']
Exploring Operation: 50/2=25, Resulting Numbers: [71, 25]
Generated Node #3: [71, 25] from Operation: 50/2=25
Current State: 96:[71, 25], Operations: ['1+1=2', '50/2=25']
Exploring Operation: 71+25=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
95,
42,
4,
19
] | 97 | [
"42-4=38",
"38/19=2",
"95+2=97"
] | Current State: 97:[95, 42, 4, 19], Operations: []
Exploring Operation: 42-4=38, Resulting Numbers: [95, 19, 38]
Generated Node #2: [95, 19, 38] from Operation: 42-4=38
Current State: 97:[95, 19, 38], Operations: ['42-4=38']
Exploring Operation: 38/19=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 38/19=2
Current State: 97:[95, 2], Operations: ['42-4=38', '38/19=2']
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
64,
2,
10,
4
] | 31 | [
"64-10=54",
"54/2=27",
"4+27=31"
] | Current State: 31:[64, 2, 10, 4], Operations: []
Exploring Operation: 64-10=54, Resulting Numbers: [2, 4, 54]
Generated Node #2: [2, 4, 54] from Operation: 64-10=54
Current State: 31:[2, 4, 54], Operations: ['64-10=54']
Exploring Operation: 54/2=27, Resulting Numbers: [4, 27]
Generated Node #3: [4, 27] from Operation: 54/2=27
Current State: 31:[4, 27], Operations: ['64-10=54', '54/2=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
31,
62,
46,
19
] | 67 | [
"62/31=2",
"46+19=65",
"2+65=67"
] | Current State: 67:[31, 62, 46, 19], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [46, 19, 2]
Generated Node #2: [46, 19, 2] from Operation: 62/31=2
Current State: 67:[46, 19, 2], Operations: ['62/31=2']
Exploring Operation: 46+19=65, Resulting Numbers: [2, 65]
Generated Node #3: [2, 65] from Operation: 46+19=65
Current State: 67:[2, 65], Operations: ['62/31=2', '46+19=65']
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
3,
94,
21,
29
] | 72 | [
"21/3=7",
"94-29=65",
"7+65=72"
] | Current State: 72:[3, 94, 21, 29], Operations: []
Exploring Operation: 21/3=7, Resulting Numbers: [94, 29, 7]
Generated Node #2: [94, 29, 7] from Operation: 21/3=7
Current State: 72:[94, 29, 7], Operations: ['21/3=7']
Exploring Operation: 94-29=65, Resulting Numbers: [7, 65]
Generated Node #3: [7, 65] from Operation: 94-29=65
Current State: 72:[7, 65], Operations: ['21/3=7', '94-29=65']
Exploring Operation: 7+65=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
92,
2,
32,
93
] | 27 | [
"92-32=60",
"2*60=120",
"120-93=27"
] | Current State: 27:[92, 2, 32, 93], Operations: []
Exploring Operation: 92-32=60, Resulting Numbers: [2, 93, 60]
Generated Node #2: [2, 93, 60] from Operation: 92-32=60
Current State: 27:[2, 93, 60], Operations: ['92-32=60']
Exploring Operation: 2*60=120, Resulting Numbers: [93, 120]
Generated Node #3: [93, 120] from Operation: 2*60=120
Current State: 27:[93, 120], Operations: ['92-32=60', '2*60=120']
Exploring Operation: 120-93=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
72,
76,
73,
71
] | 34 | [
"73-71=2",
"76/2=38",
"72-38=34"
] | Current State: 34:[72, 76, 73, 71], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [72, 76, 2]
Generated Node #2: [72, 76, 2] from Operation: 73-71=2
Current State: 34:[72, 76, 2], Operations: ['73-71=2']
Exploring Operation: 76/2=38, Resulting Numbers: [72, 38]
Generated Node #3: [72, 38] from Operation: 76/2=38
Current State: 34:[72, 38], Operations: ['73-71=2', '76/2=38']
Exploring Operation: 72-38=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
57,
4,
13,
80
] | 75 | [
"80-57=23",
"4*13=52",
"23+52=75"
] | Current State: 75:[57, 4, 13, 80], Operations: []
Exploring Operation: 80-57=23, Resulting Numbers: [4, 13, 23]
Generated Node #2: [4, 13, 23] from Operation: 80-57=23
Current State: 75:[4, 13, 23], Operations: ['80-57=23']
Exploring Operation: 4*13=52, Resulting Numbers: [23, 52]
Generated Node #3: [23, 52] from Operation: 4*13=52
Current State: 75:[23, 52], Operations: ['80-57=23', '4*13=52']
Exploring Operation: 23+52=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
79,
89,
68,
2
] | 76 | [
"89-79=10",
"68-2=66",
"10+66=76"
] | Current State: 76:[79, 89, 68, 2], Operations: []
Exploring Operation: 89-79=10, Resulting Numbers: [68, 2, 10]
Generated Node #2: [68, 2, 10] from Operation: 89-79=10
Current State: 76:[68, 2, 10], Operations: ['89-79=10']
Exploring Operation: 68-2=66, Resulting Numbers: [10, 66]
Generated Node #3: [10, 66] from Operation: 68-2=66
Current State: 76:[10, 66], Operations: ['89-79=10', '68-2=66']
Exploring Operation: 10+66=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
2,
99,
80,
22
] | 30 | [
"22/2=11",
"99-80=19",
"11+19=30"
] | Current State: 30:[2, 99, 80, 22], Operations: []
Exploring Operation: 22/2=11, Resulting Numbers: [99, 80, 11]
Generated Node #2: [99, 80, 11] from Operation: 22/2=11
Current State: 30:[99, 80, 11], Operations: ['22/2=11']
Exploring Operation: 99-80=19, Resulting Numbers: [11, 19]
Generated Node #3: [11, 19] from Operation: 99-80=19
Current State: 30:[11, 19], Operations: ['22/2=11', '99-80=19']
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
47,
43,
19,
44
] | 100 | [
"47-43=4",
"44-19=25",
"4*25=100"
] | Current State: 100:[47, 43, 19, 44], Operations: []
Exploring Operation: 47-43=4, Resulting Numbers: [19, 44, 4]
Generated Node #2: [19, 44, 4] from Operation: 47-43=4
Current State: 100:[19, 44, 4], Operations: ['47-43=4']
Exploring Operation: 44-19=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 44-19=25
Current State: 100:[4, 25], Operations: ['47-43=4', '44-19=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
44,
4,
24,
55
] | 79 | [
"44+4=48",
"55-24=31",
"48+31=79"
] | Current State: 79:[44, 4, 24, 55], Operations: []
Exploring Operation: 44+4=48, Resulting Numbers: [24, 55, 48]
Generated Node #2: [24, 55, 48] from Operation: 44+4=48
Current State: 79:[24, 55, 48], Operations: ['44+4=48']
Exploring Operation: 55-24=31, Resulting Numbers: [48, 31]
Generated Node #3: [48, 31] from Operation: 55-24=31
Current State: 79:[48, 31], Operations: ['44+4=48', '55-24=31']
Exploring Operation: 48+31=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
42,
83,
4,
73
] | 36 | [
"83-42=41",
"4+73=77",
"77-41=36"
] | Current State: 36:[42, 83, 4, 73], Operations: []
Exploring Operation: 83-42=41, Resulting Numbers: [4, 73, 41]
Generated Node #2: [4, 73, 41] from Operation: 83-42=41
Current State: 36:[4, 73, 41], Operations: ['83-42=41']
Exploring Operation: 4+73=77, Resulting Numbers: [41, 77]
Generated Node #3: [41, 77] from Operation: 4+73=77
Current State: 36:[41, 77], Operations: ['83-42=41', '4+73=77']
Exploring Operation: 77-41=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
45,
33,
41,
48
] | 44 | [
"48-33=15",
"45/15=3",
"41+3=44"
] | Current State: 44:[45, 33, 41, 48], Operations: []
Exploring Operation: 48-33=15, Resulting Numbers: [45, 41, 15]
Generated Node #2: [45, 41, 15] from Operation: 48-33=15
Current State: 44:[45, 41, 15], Operations: ['48-33=15']
Exploring Operation: 45/15=3, Resulting Numbers: [41, 3]
Generated Node #3: [41, 3] from Operation: 45/15=3
Current State: 44:[41, 3], Operations: ['48-33=15', '45/15=3']
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
18,
97,
52,
98
] | 33 | [
"97-18=79",
"98-52=46",
"79-46=33"
] | Current State: 33:[18, 97, 52, 98], Operations: []
Exploring Operation: 97-18=79, Resulting Numbers: [52, 98, 79]
Generated Node #2: [52, 98, 79] from Operation: 97-18=79
Current State: 33:[52, 98, 79], Operations: ['97-18=79']
Exploring Operation: 98-52=46, Resulting Numbers: [79, 46]
Generated Node #3: [79, 46] from Operation: 98-52=46
Current State: 33:[79, 46], Operations: ['97-18=79', '98-52=46']
Exploring Operation: 79-46=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
54,
71,
31,
41
] | 53 | [
"54+71=125",
"31+41=72",
"125-72=53"
] | Current State: 53:[54, 71, 31, 41], Operations: []
Exploring Operation: 54+71=125, Resulting Numbers: [31, 41, 125]
Generated Node #2: [31, 41, 125] from Operation: 54+71=125
Current State: 53:[31, 41, 125], Operations: ['54+71=125']
Exploring Operation: 31+41=72, Resulting Numbers: [125, 72]
Generated Node #3: [125, 72] from Operation: 31+41=72
Current State: 53:[125, 72], Operations: ['54+71=125', '31+41=72']
Exploring Operation: 125-72=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
1,
14,
19,
1
] | 31 | [
"14-1=13",
"19-1=18",
"13+18=31"
] | Current State: 31:[1, 14, 19, 1], Operations: []
Exploring Operation: 14-1=13, Resulting Numbers: [19, 13]
Generated Node #2: [19, 13] from Operation: 14-1=13
Current State: 31:[19, 13], Operations: ['14-1=13']
Exploring Operation: 19-1=18, Resulting Numbers: [13, 18]
Generated Node #3: [13, 18] from Operation: 19-1=18
Current State: 31:[13, 18], Operations: ['14-1=13', '19-1=18']
Exploring Operation: 13+18=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
5,
58,
27,
90
] | 25 | [
"58+27=85",
"90-85=5",
"5*5=25"
] | Current State: 25:[5, 58, 27, 90], Operations: []
Exploring Operation: 58+27=85, Resulting Numbers: [5, 90, 85]
Generated Node #2: [5, 90, 85] from Operation: 58+27=85
Current State: 25:[5, 90, 85], Operations: ['58+27=85']
Exploring Operation: 90-85=5, Resulting Numbers: [5, 5]
Generated Node #3: [5, 5] from Operation: 90-85=5
Current State: 25:[5, 5], Operations: ['58+27=85', '90-85=5']
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
20,
82,
2,
10
] | 66 | [
"82+10=92",
"92/2=46",
"20+46=66"
] | Current State: 66:[20, 82, 2, 10], Operations: []
Exploring Operation: 82+10=92, Resulting Numbers: [20, 2, 92]
Generated Node #2: [20, 2, 92] from Operation: 82+10=92
Current State: 66:[20, 2, 92], Operations: ['82+10=92']
Exploring Operation: 92/2=46, Resulting Numbers: [20, 46]
Generated Node #3: [20, 46] from Operation: 92/2=46
Current State: 66:[20, 46], Operations: ['82+10=92', '92/2=46']
Exploring Operation: 20+46=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
33,
12,
16,
68
] | 97 | [
"33+12=45",
"68-16=52",
"45+52=97"
] | Current State: 97:[33, 12, 16, 68], Operations: []
Exploring Operation: 33+12=45, Resulting Numbers: [16, 68, 45]
Generated Node #2: [16, 68, 45] from Operation: 33+12=45
Current State: 97:[16, 68, 45], Operations: ['33+12=45']
Exploring Operation: 68-16=52, Resulting Numbers: [45, 52]
Generated Node #3: [45, 52] from Operation: 68-16=52
Current State: 97:[45, 52], Operations: ['33+12=45', '68-16=52']
Exploring Operation: 45+52=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
80,
76,
53,
69
] | 12 | [
"80-76=4",
"69-53=16",
"16-4=12"
] | Current State: 12:[80, 76, 53, 69], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [53, 69, 4]
Generated Node #2: [53, 69, 4] from Operation: 80-76=4
Current State: 12:[53, 69, 4], Operations: ['80-76=4']
Exploring Operation: 69-53=16, Resulting Numbers: [4, 16]
Generated Node #3: [4, 16] from Operation: 69-53=16
Current State: 12:[4, 16], Operations: ['80-76=4', '69-53=16']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
7,
77,
84,
53
] | 39 | [
"77-7=70",
"84-53=31",
"70-31=39"
] | Current State: 39:[7, 77, 84, 53], Operations: []
Exploring Operation: 77-7=70, Resulting Numbers: [84, 53, 70]
Generated Node #2: [84, 53, 70] from Operation: 77-7=70
Current State: 39:[84, 53, 70], Operations: ['77-7=70']
Exploring Operation: 84-53=31, Resulting Numbers: [70, 31]
Generated Node #3: [70, 31] from Operation: 84-53=31
Current State: 39:[70, 31], Operations: ['77-7=70', '84-53=31']
Exploring Operation: 70-31=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
28,
59,
33,
31
] | 96 | [
"33-28=5",
"31*5=155",
"155-59=96"
] | Current State: 96:[28, 59, 33, 31], Operations: []
Exploring Operation: 33-28=5, Resulting Numbers: [59, 31, 5]
Generated Node #2: [59, 31, 5] from Operation: 33-28=5
Current State: 96:[59, 31, 5], Operations: ['33-28=5']
Exploring Operation: 31*5=155, Resulting Numbers: [59, 155]
Generated Node #3: [59, 155] from Operation: 31*5=155
Current State: 96:[59, 155], Operations: ['33-28=5', '31*5=155']
Exploring Operation: 155-59=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
76,
5,
10,
55
] | 63 | [
"10+55=65",
"65/5=13",
"76-13=63"
] | Current State: 63:[76, 5, 10, 55], Operations: []
Exploring Operation: 10+55=65, Resulting Numbers: [76, 5, 65]
Generated Node #2: [76, 5, 65] from Operation: 10+55=65
Current State: 63:[76, 5, 65], Operations: ['10+55=65']
Exploring Operation: 65/5=13, Resulting Numbers: [76, 13]
Generated Node #3: [76, 13] from Operation: 65/5=13
Current State: 63:[76, 13], Operations: ['10+55=65', '65/5=13']
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
3,
88,
59,
68
] | 82 | [
"3+88=91",
"68-59=9",
"91-9=82"
] | Current State: 82:[3, 88, 59, 68], Operations: []
Exploring Operation: 3+88=91, Resulting Numbers: [59, 68, 91]
Generated Node #2: [59, 68, 91] from Operation: 3+88=91
Current State: 82:[59, 68, 91], Operations: ['3+88=91']
Exploring Operation: 68-59=9, Resulting Numbers: [91, 9]
Generated Node #3: [91, 9] from Operation: 68-59=9
Current State: 82:[91, 9], Operations: ['3+88=91', '68-59=9']
Exploring Operation: 91-9=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
47,
89,
27,
54
] | 15 | [
"89-47=42",
"54-27=27",
"42-27=15"
] | Current State: 15:[47, 89, 27, 54], Operations: []
Exploring Operation: 89-47=42, Resulting Numbers: [27, 54, 42]
Generated Node #2: [27, 54, 42] from Operation: 89-47=42
Current State: 15:[27, 54, 42], Operations: ['89-47=42']
Exploring Operation: 54-27=27, Resulting Numbers: [42, 27]
Generated Node #3: [42, 27] from Operation: 54-27=27
Current State: 15:[42, 27], Operations: ['89-47=42', '54-27=27']
Exploring Operation: 42-27=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
1,
78,
42,
26
] | 95 | [
"1+78=79",
"42-26=16",
"79+16=95"
] | Current State: 95:[1, 78, 42, 26], Operations: []
Exploring Operation: 1+78=79, Resulting Numbers: [42, 26, 79]
Generated Node #2: [42, 26, 79] from Operation: 1+78=79
Current State: 95:[42, 26, 79], Operations: ['1+78=79']
Exploring Operation: 42-26=16, Resulting Numbers: [79, 16]
Generated Node #3: [79, 16] from Operation: 42-26=16
Current State: 95:[79, 16], Operations: ['1+78=79', '42-26=16']
Exploring Operation: 79+16=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
12,
93,
65,
89
] | 15 | [
"12*89=1068",
"1068-93=975",
"975/65=15"
] | Current State: 15:[12, 93, 65, 89], Operations: []
Exploring Operation: 12*89=1068, Resulting Numbers: [93, 65, 1068]
Generated Node #2: [93, 65, 1068] from Operation: 12*89=1068
Current State: 15:[93, 65, 1068], Operations: ['12*89=1068']
Exploring Operation: 1068-93=975, Resulting Numbers: [65, 975]
Generated Node #3: [65, 975] from Operation: 1068-93=975
Current State: 15:[65, 975], Operations: ['12*89=1068', '1068-93=975']
Exploring Operation: 975/65=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
30,
33,
7,
73
] | 83 | [
"33-30=3",
"7+73=80",
"3+80=83"
] | Current State: 83:[30, 33, 7, 73], Operations: []
Exploring Operation: 33-30=3, Resulting Numbers: [7, 73, 3]
Generated Node #2: [7, 73, 3] from Operation: 33-30=3
Current State: 83:[7, 73, 3], Operations: ['33-30=3']
Exploring Operation: 7+73=80, Resulting Numbers: [3, 80]
Generated Node #3: [3, 80] from Operation: 7+73=80
Current State: 83:[3, 80], Operations: ['33-30=3', '7+73=80']
Exploring Operation: 3+80=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
67,
41,
91,
80
] | 48 | [
"80-67=13",
"91/13=7",
"41+7=48"
] | Current State: 48:[67, 41, 91, 80], Operations: []
Exploring Operation: 80-67=13, Resulting Numbers: [41, 91, 13]
Generated Node #2: [41, 91, 13] from Operation: 80-67=13
Current State: 48:[41, 91, 13], Operations: ['80-67=13']
Exploring Operation: 91/13=7, Resulting Numbers: [41, 7]
Generated Node #3: [41, 7] from Operation: 91/13=7
Current State: 48:[41, 7], Operations: ['80-67=13', '91/13=7']
Exploring Operation: 41+7=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
74,
4,
73,
14
] | 19 | [
"74+4=78",
"73-14=59",
"78-59=19"
] | Current State: 19:[74, 4, 73, 14], Operations: []
Exploring Operation: 74+4=78, Resulting Numbers: [73, 14, 78]
Generated Node #2: [73, 14, 78] from Operation: 74+4=78
Current State: 19:[73, 14, 78], Operations: ['74+4=78']
Exploring Operation: 73-14=59, Resulting Numbers: [78, 59]
Generated Node #3: [78, 59] from Operation: 73-14=59
Current State: 19:[78, 59], Operations: ['74+4=78', '73-14=59']
Exploring Operation: 78-59=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
95,
22,
93,
3
] | 88 | [
"22-3=19",
"95/19=5",
"93-5=88"
] | Current State: 88:[95, 22, 93, 3], Operations: []
Exploring Operation: 22-3=19, Resulting Numbers: [95, 93, 19]
Generated Node #2: [95, 93, 19] from Operation: 22-3=19
Current State: 88:[95, 93, 19], Operations: ['22-3=19']
Exploring Operation: 95/19=5, Resulting Numbers: [93, 5]
Generated Node #3: [93, 5] from Operation: 95/19=5
Current State: 88:[93, 5], Operations: ['22-3=19', '95/19=5']
Exploring Operation: 93-5=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
42,
72,
48,
51
] | 50 | [
"72-51=21",
"42/21=2",
"48+2=50"
] | Current State: 50:[42, 72, 48, 51], Operations: []
Exploring Operation: 72-51=21, Resulting Numbers: [42, 48, 21]
Generated Node #2: [42, 48, 21] from Operation: 72-51=21
Current State: 50:[42, 48, 21], Operations: ['72-51=21']
Exploring Operation: 42/21=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 42/21=2
Current State: 50:[48, 2], Operations: ['72-51=21', '42/21=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
48,
6,
1,
45
] | 54 | [
"48/6=8",
"1+45=46",
"8+46=54"
] | Current State: 54:[48, 6, 1, 45], Operations: []
Exploring Operation: 48/6=8, Resulting Numbers: [1, 45, 8]
Generated Node #2: [1, 45, 8] from Operation: 48/6=8
Current State: 54:[1, 45, 8], Operations: ['48/6=8']
Exploring Operation: 1+45=46, Resulting Numbers: [8, 46]
Generated Node #3: [8, 46] from Operation: 1+45=46
Current State: 54:[8, 46], Operations: ['48/6=8', '1+45=46']
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
87,
52,
52,
4
] | 88 | [
"87-52=35",
"4*35=140",
"140-52=88"
] | Current State: 88:[87, 52, 52, 4], Operations: []
Exploring Operation: 87-52=35, Resulting Numbers: [4, 35]
Generated Node #2: [4, 35] from Operation: 87-52=35
Current State: 88:[4, 35], Operations: ['87-52=35']
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,88 equal: Goal Reached
Exploring Operation: 140-52=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
22,
27,
53,
20
] | 38 | [
"27-22=5",
"53-20=33",
"5+33=38"
] | Current State: 38:[22, 27, 53, 20], Operations: []
Exploring Operation: 27-22=5, Resulting Numbers: [53, 20, 5]
Generated Node #2: [53, 20, 5] from Operation: 27-22=5
Current State: 38:[53, 20, 5], Operations: ['27-22=5']
Exploring Operation: 53-20=33, Resulting Numbers: [5, 33]
Generated Node #3: [5, 33] from Operation: 53-20=33
Current State: 38:[5, 33], Operations: ['27-22=5', '53-20=33']
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
46,
62,
50,
52
] | 15 | [
"52-50=2",
"62/2=31",
"46-31=15"
] | Current State: 15:[46, 62, 50, 52], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [46, 62, 2]
Generated Node #2: [46, 62, 2] from Operation: 52-50=2
Current State: 15:[46, 62, 2], Operations: ['52-50=2']
Exploring Operation: 62/2=31, Resulting Numbers: [46, 31]
Generated Node #3: [46, 31] from Operation: 62/2=31
Current State: 15:[46, 31], Operations: ['52-50=2', '62/2=31']
Exploring Operation: 46-31=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
66,
86,
32,
59
] | 61 | [
"66+86=152",
"32+59=91",
"152-91=61"
] | Current State: 61:[66, 86, 32, 59], Operations: []
Exploring Operation: 66+86=152, Resulting Numbers: [32, 59, 152]
Generated Node #2: [32, 59, 152] from Operation: 66+86=152
Current State: 61:[32, 59, 152], Operations: ['66+86=152']
Exploring Operation: 32+59=91, Resulting Numbers: [152, 91]
Generated Node #3: [152, 91] from Operation: 32+59=91
Current State: 61:[152, 91], Operations: ['66+86=152', '32+59=91']
Exploring Operation: 152-91=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
74,
52,
74,
18
] | 18 | [
"74-74=0",
"52*0=0",
"18+0=18"
] | Current State: 18:[74, 52, 74, 18], Operations: []
Exploring Operation: 74-74=0, Resulting Numbers: [52, 18, 0]
Generated Node #2: [52, 18, 0] from Operation: 74-74=0
Current State: 18:[52, 18, 0], Operations: ['74-74=0']
Exploring Operation: 52*0=0, Resulting Numbers: [18, 0]
Generated Node #3: [18, 0] from Operation: 52*0=0
Current State: 18:[18, 0], Operations: ['74-74=0', '52*0=0']
Exploring Operation: 18+0=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
1,
60,
23,
40
] | 36 | [
"1+23=24",
"60*24=1440",
"1440/40=36"
] | Current State: 36:[1, 60, 23, 40], Operations: []
Exploring Operation: 1+23=24, Resulting Numbers: [60, 40, 24]
Generated Node #2: [60, 40, 24] from Operation: 1+23=24
Current State: 36:[60, 40, 24], Operations: ['1+23=24']
Exploring Operation: 60*24=1440, Resulting Numbers: [40, 1440]
Generated Node #3: [40, 1440] from Operation: 60*24=1440
Current State: 36:[40, 1440], Operations: ['1+23=24', '60*24=1440']
Exploring Operation: 1440/40=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
14,
3,
80,
46
] | 100 | [
"14+46=60",
"3*60=180",
"180-80=100"
] | Current State: 100:[14, 3, 80, 46], Operations: []
Exploring Operation: 14+46=60, Resulting Numbers: [3, 80, 60]
Generated Node #2: [3, 80, 60] from Operation: 14+46=60
Current State: 100:[3, 80, 60], Operations: ['14+46=60']
Exploring Operation: 3*60=180, Resulting Numbers: [80, 180]
Generated Node #3: [80, 180] from Operation: 3*60=180
Current State: 100:[80, 180], Operations: ['14+46=60', '3*60=180']
Exploring Operation: 180-80=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
78,
20,
16,
80
] | 14 | [
"80/20=4",
"16*4=64",
"78-64=14"
] | Current State: 14:[78, 20, 16, 80], Operations: []
Exploring Operation: 80/20=4, Resulting Numbers: [78, 16, 4]
Generated Node #2: [78, 16, 4] from Operation: 80/20=4
Current State: 14:[78, 16, 4], Operations: ['80/20=4']
Exploring Operation: 16*4=64, Resulting Numbers: [78, 64]
Generated Node #3: [78, 64] from Operation: 16*4=64
Current State: 14:[78, 64], Operations: ['80/20=4', '16*4=64']
Exploring Operation: 78-64=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
42,
63,
50,
90
] | 19 | [
"63-42=21",
"90-50=40",
"40-21=19"
] | Current State: 19:[42, 63, 50, 90], Operations: []
Exploring Operation: 63-42=21, Resulting Numbers: [50, 90, 21]
Generated Node #2: [50, 90, 21] from Operation: 63-42=21
Current State: 19:[50, 90, 21], Operations: ['63-42=21']
Exploring Operation: 90-50=40, Resulting Numbers: [21, 40]
Generated Node #3: [21, 40] from Operation: 90-50=40
Current State: 19:[21, 40], Operations: ['63-42=21', '90-50=40']
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
46,
78,
74,
25
] | 26 | [
"74-46=28",
"28-25=3",
"78/3=26"
] | Current State: 26:[46, 78, 74, 25], Operations: []
Exploring Operation: 74-46=28, Resulting Numbers: [78, 25, 28]
Generated Node #2: [78, 25, 28] from Operation: 74-46=28
Current State: 26:[78, 25, 28], Operations: ['74-46=28']
Exploring Operation: 28-25=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 28-25=3
Current State: 26:[78, 3], Operations: ['74-46=28', '28-25=3']
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
76,
77,
42,
69
] | 83 | [
"76-69=7",
"42/7=6",
"77+6=83"
] | Current State: 83:[76, 77, 42, 69], Operations: []
Exploring Operation: 76-69=7, Resulting Numbers: [77, 42, 7]
Generated Node #2: [77, 42, 7] from Operation: 76-69=7
Current State: 83:[77, 42, 7], Operations: ['76-69=7']
Exploring Operation: 42/7=6, Resulting Numbers: [77, 6]
Generated Node #3: [77, 6] from Operation: 42/7=6
Current State: 83:[77, 6], Operations: ['76-69=7', '42/7=6']
Exploring Operation: 77+6=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
48,
43,
92,
70
] | 70 | [
"48+43=91",
"92-91=1",
"70*1=70"
] | Current State: 70:[48, 43, 92, 70], Operations: []
Exploring Operation: 48+43=91, Resulting Numbers: [92, 70, 91]
Generated Node #2: [92, 70, 91] from Operation: 48+43=91
Current State: 70:[92, 70, 91], Operations: ['48+43=91']
Exploring Operation: 92-91=1, Resulting Numbers: [70, 1]
Generated Node #3: [70, 1] from Operation: 92-91=1
Current State: 70:[70, 1], Operations: ['48+43=91', '92-91=1']
Exploring Operation: 70*1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
20,
62,
85,
17
] | 58 | [
"20*17=340",
"340/85=4",
"62-4=58"
] | Current State: 58:[20, 62, 85, 17], Operations: []
Exploring Operation: 20*17=340, Resulting Numbers: [62, 85, 340]
Generated Node #2: [62, 85, 340] from Operation: 20*17=340
Current State: 58:[62, 85, 340], Operations: ['20*17=340']
Exploring Operation: 340/85=4, Resulting Numbers: [62, 4]
Generated Node #3: [62, 4] from Operation: 340/85=4
Current State: 58:[62, 4], Operations: ['20*17=340', '340/85=4']
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
26,
76,
12,
31
] | 30 | [
"31-12=19",
"76/19=4",
"26+4=30"
] | Current State: 30:[26, 76, 12, 31], Operations: []
Exploring Operation: 31-12=19, Resulting Numbers: [26, 76, 19]
Generated Node #2: [26, 76, 19] from Operation: 31-12=19
Current State: 30:[26, 76, 19], Operations: ['31-12=19']
Exploring Operation: 76/19=4, Resulting Numbers: [26, 4]
Generated Node #3: [26, 4] from Operation: 76/19=4
Current State: 30:[26, 4], Operations: ['31-12=19', '76/19=4']
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
50,
55,
60,
96
] | 38 | [
"55*96=5280",
"5280/60=88",
"88-50=38"
] | Current State: 38:[50, 55, 60, 96], Operations: []
Exploring Operation: 55*96=5280, Resulting Numbers: [50, 60, 5280]
Generated Node #2: [50, 60, 5280] from Operation: 55*96=5280
Current State: 38:[50, 60, 5280], Operations: ['55*96=5280']
Exploring Operation: 5280/60=88, Resulting Numbers: [50, 88]
Generated Node #3: [50, 88] from Operation: 5280/60=88
Current State: 38:[50, 88], Operations: ['55*96=5280', '5280/60=88']
Exploring Operation: 88-50=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
30,
34,
90,
69
] | 17 | [
"34-30=4",
"90-69=21",
"21-4=17"
] | Current State: 17:[30, 34, 90, 69], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [90, 69, 4]
Generated Node #2: [90, 69, 4] from Operation: 34-30=4
Current State: 17:[90, 69, 4], Operations: ['34-30=4']
Exploring Operation: 90-69=21, Resulting Numbers: [4, 21]
Generated Node #3: [4, 21] from Operation: 90-69=21
Current State: 17:[4, 21], Operations: ['34-30=4', '90-69=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
83,
85,
81,
61
] | 48 | [
"83-81=2",
"85-61=24",
"2*24=48"
] | Current State: 48:[83, 85, 81, 61], Operations: []
Exploring Operation: 83-81=2, Resulting Numbers: [85, 61, 2]
Generated Node #2: [85, 61, 2] from Operation: 83-81=2
Current State: 48:[85, 61, 2], Operations: ['83-81=2']
Exploring Operation: 85-61=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 85-61=24
Current State: 48:[2, 24], Operations: ['83-81=2', '85-61=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
11,
96,
25,
17
] | 43 | [
"96-11=85",
"25+17=42",
"85-42=43"
] | Current State: 43:[11, 96, 25, 17], Operations: []
Exploring Operation: 96-11=85, Resulting Numbers: [25, 17, 85]
Generated Node #2: [25, 17, 85] from Operation: 96-11=85
Current State: 43:[25, 17, 85], Operations: ['96-11=85']
Exploring Operation: 25+17=42, Resulting Numbers: [85, 42]
Generated Node #3: [85, 42] from Operation: 25+17=42
Current State: 43:[85, 42], Operations: ['96-11=85', '25+17=42']
Exploring Operation: 85-42=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
6,
94,
84,
29
] | 25 | [
"94-6=88",
"84+29=113",
"113-88=25"
] | Current State: 25:[6, 94, 84, 29], Operations: []
Exploring Operation: 94-6=88, Resulting Numbers: [84, 29, 88]
Generated Node #2: [84, 29, 88] from Operation: 94-6=88
Current State: 25:[84, 29, 88], Operations: ['94-6=88']
Exploring Operation: 84+29=113, Resulting Numbers: [88, 113]
Generated Node #3: [88, 113] from Operation: 84+29=113
Current State: 25:[88, 113], Operations: ['94-6=88', '84+29=113']
Exploring Operation: 113-88=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
3,
21,
27,
22
] | 67 | [
"21-3=18",
"27+22=49",
"18+49=67"
] | Current State: 67:[3, 21, 27, 22], Operations: []
Exploring Operation: 21-3=18, Resulting Numbers: [27, 22, 18]
Generated Node #2: [27, 22, 18] from Operation: 21-3=18
Current State: 67:[27, 22, 18], Operations: ['21-3=18']
Exploring Operation: 27+22=49, Resulting Numbers: [18, 49]
Generated Node #3: [18, 49] from Operation: 27+22=49
Current State: 67:[18, 49], Operations: ['21-3=18', '27+22=49']
Exploring Operation: 18+49=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
66,
6,
55,
82
] | 45 | [
"66+6=72",
"82-55=27",
"72-27=45"
] | Current State: 45:[66, 6, 55, 82], Operations: []
Exploring Operation: 66+6=72, Resulting Numbers: [55, 82, 72]
Generated Node #2: [55, 82, 72] from Operation: 66+6=72
Current State: 45:[55, 82, 72], Operations: ['66+6=72']
Exploring Operation: 82-55=27, Resulting Numbers: [72, 27]
Generated Node #3: [72, 27] from Operation: 82-55=27
Current State: 45:[72, 27], Operations: ['66+6=72', '82-55=27']
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
23,
71,
51,
34
] | 17 | [
"23*51=1173",
"34+1173=1207",
"1207/71=17"
] | Current State: 17:[23, 71, 51, 34], Operations: []
Exploring Operation: 23*51=1173, Resulting Numbers: [71, 34, 1173]
Generated Node #2: [71, 34, 1173] from Operation: 23*51=1173
Current State: 17:[71, 34, 1173], Operations: ['23*51=1173']
Exploring Operation: 34+1173=1207, Resulting Numbers: [71, 1207]
Generated Node #3: [71, 1207] from Operation: 34+1173=1207
Current State: 17:[71, 1207], Operations: ['23*51=1173', '34+1173=1207']
Exploring Operation: 1207/71=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
4,
18,
71,
85
] | 58 | [
"4*18=72",
"85-71=14",
"72-14=58"
] | Current State: 58:[4, 18, 71, 85], Operations: []
Exploring Operation: 4*18=72, Resulting Numbers: [71, 85, 72]
Generated Node #2: [71, 85, 72] from Operation: 4*18=72
Current State: 58:[71, 85, 72], Operations: ['4*18=72']
Exploring Operation: 85-71=14, Resulting Numbers: [72, 14]
Generated Node #3: [72, 14] from Operation: 85-71=14
Current State: 58:[72, 14], Operations: ['4*18=72', '85-71=14']
Exploring Operation: 72-14=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
51,
19,
64,
82
] | 41 | [
"51-19=32",
"64/32=2",
"82/2=41"
] | Current State: 41:[51, 19, 64, 82], Operations: []
Exploring Operation: 51-19=32, Resulting Numbers: [64, 82, 32]
Generated Node #2: [64, 82, 32] from Operation: 51-19=32
Current State: 41:[64, 82, 32], Operations: ['51-19=32']
Exploring Operation: 64/32=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 64/32=2
Current State: 41:[82, 2], Operations: ['51-19=32', '64/32=2']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
96,
48,
36,
23
] | 11 | [
"96-48=48",
"36+23=59",
"59-48=11"
] | Current State: 11:[96, 48, 36, 23], Operations: []
Exploring Operation: 96-48=48, Resulting Numbers: [36, 23, 48]
Generated Node #2: [36, 23, 48] from Operation: 96-48=48
Current State: 11:[36, 23, 48], Operations: ['96-48=48']
Exploring Operation: 36+23=59, Resulting Numbers: [48, 59]
Generated Node #3: [48, 59] from Operation: 36+23=59
Current State: 11:[48, 59], Operations: ['96-48=48', '36+23=59']
Exploring Operation: 59-48=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
53,
25,
2,
82
] | 85 | [
"53+82=135",
"25*2=50",
"135-50=85"
] | Current State: 85:[53, 25, 2, 82], Operations: []
Exploring Operation: 53+82=135, Resulting Numbers: [25, 2, 135]
Generated Node #2: [25, 2, 135] from Operation: 53+82=135
Current State: 85:[25, 2, 135], Operations: ['53+82=135']
Exploring Operation: 25*2=50, Resulting Numbers: [135, 50]
Generated Node #3: [135, 50] from Operation: 25*2=50
Current State: 85:[135, 50], Operations: ['53+82=135', '25*2=50']
Exploring Operation: 135-50=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
50,
44,
25,
81
] | 55 | [
"44+81=125",
"125/25=5",
"50+5=55"
] | Current State: 55:[50, 44, 25, 81], Operations: []
Exploring Operation: 44+81=125, Resulting Numbers: [50, 25, 125]
Generated Node #2: [50, 25, 125] from Operation: 44+81=125
Current State: 55:[50, 25, 125], Operations: ['44+81=125']
Exploring Operation: 125/25=5, Resulting Numbers: [50, 5]
Generated Node #3: [50, 5] from Operation: 125/25=5
Current State: 55:[50, 5], Operations: ['44+81=125', '125/25=5']
Exploring Operation: 50+5=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
29,
55,
89,
92
] | 81 | [
"29+55=84",
"92-89=3",
"84-3=81"
] | Current State: 81:[29, 55, 89, 92], Operations: []
Exploring Operation: 29+55=84, Resulting Numbers: [89, 92, 84]
Generated Node #2: [89, 92, 84] from Operation: 29+55=84
Current State: 81:[89, 92, 84], Operations: ['29+55=84']
Exploring Operation: 92-89=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 92-89=3
Current State: 81:[84, 3], Operations: ['29+55=84', '92-89=3']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
17,
95,
48,
24
] | 55 | [
"95+24=119",
"119/17=7",
"48+7=55"
] | Current State: 55:[17, 95, 48, 24], Operations: []
Exploring Operation: 95+24=119, Resulting Numbers: [17, 48, 119]
Generated Node #2: [17, 48, 119] from Operation: 95+24=119
Current State: 55:[17, 48, 119], Operations: ['95+24=119']
Exploring Operation: 119/17=7, Resulting Numbers: [48, 7]
Generated Node #3: [48, 7] from Operation: 119/17=7
Current State: 55:[48, 7], Operations: ['95+24=119', '119/17=7']
Exploring Operation: 48+7=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
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