nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
55,
88,
49,
15
] | 97 | [
"88-55=33",
"49+15=64",
"33+64=97"
] | Current State: 97:[55, 88, 49, 15], Operations: []
Exploring Operation: 88-55=33, Resulting Numbers: [49, 15, 33]
Generated Node #2: [49, 15, 33] from Operation: 88-55=33
Current State: 97:[49, 15, 33], Operations: ['88-55=33']
Exploring Operation: 49+15=64, Resulting Numbers: [33, 64]
Generated Node #3: [33, 64] from Operation: 49+15=64
Current State: 97:[33, 64], Operations: ['88-55=33', '49+15=64']
Exploring Operation: 33+64=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
75,
90,
13,
12
] | 23 | [
"75*12=900",
"900/90=10",
"13+10=23"
] | Current State: 23:[75, 90, 13, 12], Operations: []
Exploring Operation: 75*12=900, Resulting Numbers: [90, 13, 900]
Generated Node #2: [90, 13, 900] from Operation: 75*12=900
Current State: 23:[90, 13, 900], Operations: ['75*12=900']
Exploring Operation: 900/90=10, Resulting Numbers: [13, 10]
Generated Node #3: [13, 10] from Operation: 900/90=10
Current State: 23:[13, 10], Operations: ['75*12=900', '900/90=10']
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
10,
72,
18,
14
] | 46 | [
"72/18=4",
"14*4=56",
"56-10=46"
] | Current State: 46:[10, 72, 18, 14], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [10, 14, 4]
Generated Node #2: [10, 14, 4] from Operation: 72/18=4
Current State: 46:[10, 14, 4], Operations: ['72/18=4']
Exploring Operation: 14*4=56, Resulting Numbers: [10, 56]
Generated Node #3: [10, 56] from Operation: 14*4=56
Current State: 46:[10, 56], Operations: ['72/18=4', '14*4=56']
Exploring Operation: 56-10=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
61,
71,
74,
27
] | 20 | [
"74-71=3",
"27*3=81",
"81-61=20"
] | Current State: 20:[61, 71, 74, 27], Operations: []
Exploring Operation: 74-71=3, Resulting Numbers: [61, 27, 3]
Generated Node #2: [61, 27, 3] from Operation: 74-71=3
Current State: 20:[61, 27, 3], Operations: ['74-71=3']
Exploring Operation: 27*3=81, Resulting Numbers: [61, 81]
Generated Node #3: [61, 81] from Operation: 27*3=81
Current State: 20:[61, 81], Operations: ['74-71=3', '27*3=81']
Exploring Operation: 81-61=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
16,
8,
54,
16
] | 54 | [
"16-16=0",
"8*0=0",
"54+0=54"
] | Current State: 54:[16, 8, 54, 16], Operations: []
Exploring Operation: 16-16=0, Resulting Numbers: [8, 54, 0]
Generated Node #2: [8, 54, 0] from Operation: 16-16=0
Current State: 54:[8, 54, 0], Operations: ['16-16=0']
Exploring Operation: 8*0=0, Resulting Numbers: [54, 0]
Generated Node #3: [54, 0] from Operation: 8*0=0
Current State: 54:[54, 0], Operations: ['16-16=0', '8*0=0']
Exploring Operation: 54+0=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
5,
54,
39,
65
] | 76 | [
"5*39=195",
"54+65=119",
"195-119=76"
] | Current State: 76:[5, 54, 39, 65], Operations: []
Exploring Operation: 5*39=195, Resulting Numbers: [54, 65, 195]
Generated Node #2: [54, 65, 195] from Operation: 5*39=195
Current State: 76:[54, 65, 195], Operations: ['5*39=195']
Exploring Operation: 54+65=119, Resulting Numbers: [195, 119]
Generated Node #3: [195, 119] from Operation: 54+65=119
Current State: 76:[195, 119], Operations: ['5*39=195', '54+65=119']
Exploring Operation: 195-119=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
51,
56,
79,
84
] | 56 | [
"51+56=107",
"79+84=163",
"163-107=56"
] | Current State: 56:[51, 56, 79, 84], Operations: []
Exploring Operation: 51+56=107, Resulting Numbers: [79, 84, 107]
Generated Node #2: [79, 84, 107] from Operation: 51+56=107
Current State: 56:[79, 84, 107], Operations: ['51+56=107']
Exploring Operation: 79+84=163, Resulting Numbers: [107, 163]
Generated Node #3: [107, 163] from Operation: 79+84=163
Current State: 56:[107, 163], Operations: ['51+56=107', '79+84=163']
Exploring Operation: 163-107=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
52,
31,
57,
88
] | 51 | [
"31+57=88",
"88/88=1",
"52-1=51"
] | Current State: 51:[52, 31, 57, 88], Operations: []
Exploring Operation: 31+57=88, Resulting Numbers: [52, 88, 88]
Generated Node #2: [52, 88, 88] from Operation: 31+57=88
Current State: 51:[52, 88, 88], Operations: ['31+57=88']
Exploring Operation: 88/88=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 88/88=1
Current State: 51:[52, 1], Operations: ['31+57=88', '88/88=1']
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
52,
37,
25,
86
] | 96 | [
"52-37=15",
"25+86=111",
"111-15=96"
] | Current State: 96:[52, 37, 25, 86], Operations: []
Exploring Operation: 52-37=15, Resulting Numbers: [25, 86, 15]
Generated Node #2: [25, 86, 15] from Operation: 52-37=15
Current State: 96:[25, 86, 15], Operations: ['52-37=15']
Exploring Operation: 25+86=111, Resulting Numbers: [15, 111]
Generated Node #3: [15, 111] from Operation: 25+86=111
Current State: 96:[15, 111], Operations: ['52-37=15', '25+86=111']
Exploring Operation: 111-15=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
26,
94,
72,
54
] | 90 | [
"26+94=120",
"54*120=6480",
"6480/72=90"
] | Current State: 90:[26, 94, 72, 54], Operations: []
Exploring Operation: 26+94=120, Resulting Numbers: [72, 54, 120]
Generated Node #2: [72, 54, 120] from Operation: 26+94=120
Current State: 90:[72, 54, 120], Operations: ['26+94=120']
Exploring Operation: 54*120=6480, Resulting Numbers: [72, 6480]
Generated Node #3: [72, 6480] from Operation: 54*120=6480
Current State: 90:[72, 6480], Operations: ['26+94=120', '54*120=6480']
Exploring Operation: 6480/72=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
10,
7,
32,
63
] | 93 | [
"10-7=3",
"63-32=31",
"3*31=93"
] | Current State: 93:[10, 7, 32, 63], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [32, 63, 3]
Generated Node #2: [32, 63, 3] from Operation: 10-7=3
Current State: 93:[32, 63, 3], Operations: ['10-7=3']
Exploring Operation: 63-32=31, Resulting Numbers: [3, 31]
Generated Node #3: [3, 31] from Operation: 63-32=31
Current State: 93:[3, 31], Operations: ['10-7=3', '63-32=31']
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
60,
62,
56,
48
] | 15 | [
"62-48=14",
"60*14=840",
"840/56=15"
] | Current State: 15:[60, 62, 56, 48], Operations: []
Exploring Operation: 62-48=14, Resulting Numbers: [60, 56, 14]
Generated Node #2: [60, 56, 14] from Operation: 62-48=14
Current State: 15:[60, 56, 14], Operations: ['62-48=14']
Exploring Operation: 60*14=840, Resulting Numbers: [56, 840]
Generated Node #3: [56, 840] from Operation: 60*14=840
Current State: 15:[56, 840], Operations: ['62-48=14', '60*14=840']
Exploring Operation: 840/56=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
53,
5,
75,
72
] | 34 | [
"72-53=19",
"75/5=15",
"19+15=34"
] | Current State: 34:[53, 5, 75, 72], Operations: []
Exploring Operation: 72-53=19, Resulting Numbers: [5, 75, 19]
Generated Node #2: [5, 75, 19] from Operation: 72-53=19
Current State: 34:[5, 75, 19], Operations: ['72-53=19']
Exploring Operation: 75/5=15, Resulting Numbers: [19, 15]
Generated Node #3: [19, 15] from Operation: 75/5=15
Current State: 34:[19, 15], Operations: ['72-53=19', '75/5=15']
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
3,
92,
10,
63
] | 98 | [
"63-3=60",
"60/10=6",
"92+6=98"
] | Current State: 98:[3, 92, 10, 63], Operations: []
Exploring Operation: 63-3=60, Resulting Numbers: [92, 10, 60]
Generated Node #2: [92, 10, 60] from Operation: 63-3=60
Current State: 98:[92, 10, 60], Operations: ['63-3=60']
Exploring Operation: 60/10=6, Resulting Numbers: [92, 6]
Generated Node #3: [92, 6] from Operation: 60/10=6
Current State: 98:[92, 6], Operations: ['63-3=60', '60/10=6']
Exploring Operation: 92+6=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
35,
48,
70,
66
] | 79 | [
"35+48=83",
"70-66=4",
"83-4=79"
] | Current State: 79:[35, 48, 70, 66], Operations: []
Exploring Operation: 35+48=83, Resulting Numbers: [70, 66, 83]
Generated Node #2: [70, 66, 83] from Operation: 35+48=83
Current State: 79:[70, 66, 83], Operations: ['35+48=83']
Exploring Operation: 70-66=4, Resulting Numbers: [83, 4]
Generated Node #3: [83, 4] from Operation: 70-66=4
Current State: 79:[83, 4], Operations: ['35+48=83', '70-66=4']
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
94,
33,
54,
95
] | 86 | [
"94+33=127",
"95-54=41",
"127-41=86"
] | Current State: 86:[94, 33, 54, 95], Operations: []
Exploring Operation: 94+33=127, Resulting Numbers: [54, 95, 127]
Generated Node #2: [54, 95, 127] from Operation: 94+33=127
Current State: 86:[54, 95, 127], Operations: ['94+33=127']
Exploring Operation: 95-54=41, Resulting Numbers: [127, 41]
Generated Node #3: [127, 41] from Operation: 95-54=41
Current State: 86:[127, 41], Operations: ['94+33=127', '95-54=41']
Exploring Operation: 127-41=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
29,
47,
4,
75
] | 61 | [
"47-29=18",
"4+75=79",
"79-18=61"
] | Current State: 61:[29, 47, 4, 75], Operations: []
Exploring Operation: 47-29=18, Resulting Numbers: [4, 75, 18]
Generated Node #2: [4, 75, 18] from Operation: 47-29=18
Current State: 61:[4, 75, 18], Operations: ['47-29=18']
Exploring Operation: 4+75=79, Resulting Numbers: [18, 79]
Generated Node #3: [18, 79] from Operation: 4+75=79
Current State: 61:[18, 79], Operations: ['47-29=18', '4+75=79']
Exploring Operation: 79-18=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
36,
29,
14,
3
] | 93 | [
"36*3=108",
"29-14=15",
"108-15=93"
] | Current State: 93:[36, 29, 14, 3], Operations: []
Exploring Operation: 36*3=108, Resulting Numbers: [29, 14, 108]
Generated Node #2: [29, 14, 108] from Operation: 36*3=108
Current State: 93:[29, 14, 108], Operations: ['36*3=108']
Exploring Operation: 29-14=15, Resulting Numbers: [108, 15]
Generated Node #3: [108, 15] from Operation: 29-14=15
Current State: 93:[108, 15], Operations: ['36*3=108', '29-14=15']
Exploring Operation: 108-15=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
88,
37,
24,
6
] | 47 | [
"88-37=51",
"24/6=4",
"51-4=47"
] | Current State: 47:[88, 37, 24, 6], Operations: []
Exploring Operation: 88-37=51, Resulting Numbers: [24, 6, 51]
Generated Node #2: [24, 6, 51] from Operation: 88-37=51
Current State: 47:[24, 6, 51], Operations: ['88-37=51']
Exploring Operation: 24/6=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 24/6=4
Current State: 47:[51, 4], Operations: ['88-37=51', '24/6=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
7,
41,
29,
87
] | 82 | [
"41-7=34",
"29+87=116",
"116-34=82"
] | Current State: 82:[7, 41, 29, 87], Operations: []
Exploring Operation: 41-7=34, Resulting Numbers: [29, 87, 34]
Generated Node #2: [29, 87, 34] from Operation: 41-7=34
Current State: 82:[29, 87, 34], Operations: ['41-7=34']
Exploring Operation: 29+87=116, Resulting Numbers: [34, 116]
Generated Node #3: [34, 116] from Operation: 29+87=116
Current State: 82:[34, 116], Operations: ['41-7=34', '29+87=116']
Exploring Operation: 116-34=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
86,
20,
16,
70
] | 20 | [
"86+20=106",
"16+70=86",
"106-86=20"
] | Current State: 20:[86, 20, 16, 70], Operations: []
Exploring Operation: 86+20=106, Resulting Numbers: [16, 70, 106]
Generated Node #2: [16, 70, 106] from Operation: 86+20=106
Current State: 20:[16, 70, 106], Operations: ['86+20=106']
Exploring Operation: 16+70=86, Resulting Numbers: [106, 86]
Generated Node #3: [106, 86] from Operation: 16+70=86
Current State: 20:[106, 86], Operations: ['86+20=106', '16+70=86']
Exploring Operation: 106-86=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
4,
90,
20,
32
] | 88 | [
"20-4=16",
"32/16=2",
"90-2=88"
] | Current State: 88:[4, 90, 20, 32], Operations: []
Exploring Operation: 20-4=16, Resulting Numbers: [90, 32, 16]
Generated Node #2: [90, 32, 16] from Operation: 20-4=16
Current State: 88:[90, 32, 16], Operations: ['20-4=16']
Exploring Operation: 32/16=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 32/16=2
Current State: 88:[90, 2], Operations: ['20-4=16', '32/16=2']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
9,
48,
19,
99
] | 23 | [
"9+48=57",
"99-19=80",
"80-57=23"
] | Current State: 23:[9, 48, 19, 99], Operations: []
Exploring Operation: 9+48=57, Resulting Numbers: [19, 99, 57]
Generated Node #2: [19, 99, 57] from Operation: 9+48=57
Current State: 23:[19, 99, 57], Operations: ['9+48=57']
Exploring Operation: 99-19=80, Resulting Numbers: [57, 80]
Generated Node #3: [57, 80] from Operation: 99-19=80
Current State: 23:[57, 80], Operations: ['9+48=57', '99-19=80']
Exploring Operation: 80-57=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
44,
39,
38,
18
] | 61 | [
"44-39=5",
"38+18=56",
"5+56=61"
] | Current State: 61:[44, 39, 38, 18], Operations: []
Exploring Operation: 44-39=5, Resulting Numbers: [38, 18, 5]
Generated Node #2: [38, 18, 5] from Operation: 44-39=5
Current State: 61:[38, 18, 5], Operations: ['44-39=5']
Exploring Operation: 38+18=56, Resulting Numbers: [5, 56]
Generated Node #3: [5, 56] from Operation: 38+18=56
Current State: 61:[5, 56], Operations: ['44-39=5', '38+18=56']
Exploring Operation: 5+56=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
48,
4,
20,
93
] | 90 | [
"20-4=16",
"48/16=3",
"93-3=90"
] | Current State: 90:[48, 4, 20, 93], Operations: []
Exploring Operation: 20-4=16, Resulting Numbers: [48, 93, 16]
Generated Node #2: [48, 93, 16] from Operation: 20-4=16
Current State: 90:[48, 93, 16], Operations: ['20-4=16']
Exploring Operation: 48/16=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 48/16=3
Current State: 90:[93, 3], Operations: ['20-4=16', '48/16=3']
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
25,
50,
2,
11
] | 66 | [
"25+50=75",
"11-2=9",
"75-9=66"
] | Current State: 66:[25, 50, 2, 11], Operations: []
Exploring Operation: 25+50=75, Resulting Numbers: [2, 11, 75]
Generated Node #2: [2, 11, 75] from Operation: 25+50=75
Current State: 66:[2, 11, 75], Operations: ['25+50=75']
Exploring Operation: 11-2=9, Resulting Numbers: [75, 9]
Generated Node #3: [75, 9] from Operation: 11-2=9
Current State: 66:[75, 9], Operations: ['25+50=75', '11-2=9']
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
37,
39,
16,
27
] | 38 | [
"39-37=2",
"27*2=54",
"54-16=38"
] | Current State: 38:[37, 39, 16, 27], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [16, 27, 2]
Generated Node #2: [16, 27, 2] from Operation: 39-37=2
Current State: 38:[16, 27, 2], Operations: ['39-37=2']
Exploring Operation: 27*2=54, Resulting Numbers: [16, 54]
Generated Node #3: [16, 54] from Operation: 27*2=54
Current State: 38:[16, 54], Operations: ['39-37=2', '27*2=54']
Exploring Operation: 54-16=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
23,
67,
68,
41
] | 17 | [
"67-23=44",
"68-41=27",
"44-27=17"
] | Current State: 17:[23, 67, 68, 41], Operations: []
Exploring Operation: 67-23=44, Resulting Numbers: [68, 41, 44]
Generated Node #2: [68, 41, 44] from Operation: 67-23=44
Current State: 17:[68, 41, 44], Operations: ['67-23=44']
Exploring Operation: 68-41=27, Resulting Numbers: [44, 27]
Generated Node #3: [44, 27] from Operation: 68-41=27
Current State: 17:[44, 27], Operations: ['67-23=44', '68-41=27']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
26,
35,
89,
1
] | 28 | [
"26+35=61",
"89*1=89",
"89-61=28"
] | Current State: 28:[26, 35, 89, 1], Operations: []
Exploring Operation: 26+35=61, Resulting Numbers: [89, 1, 61]
Generated Node #2: [89, 1, 61] from Operation: 26+35=61
Current State: 28:[89, 1, 61], Operations: ['26+35=61']
Exploring Operation: 89*1=89, Resulting Numbers: [61, 89]
Generated Node #3: [61, 89] from Operation: 89*1=89
Current State: 28:[61, 89], Operations: ['26+35=61', '89*1=89']
Exploring Operation: 89-61=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
85,
8,
9,
3
] | 17 | [
"9/3=3",
"8-3=5",
"85/5=17"
] | Current State: 17:[85, 8, 9, 3], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [85, 8, 3]
Generated Node #2: [85, 8, 3] from Operation: 9/3=3
Current State: 17:[85, 8, 3], Operations: ['9/3=3']
Exploring Operation: 8-3=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 8-3=5
Current State: 17:[85, 5], Operations: ['9/3=3', '8-3=5']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
53,
18,
89,
60
] | 37 | [
"60-53=7",
"18*7=126",
"126-89=37"
] | Current State: 37:[53, 18, 89, 60], Operations: []
Exploring Operation: 60-53=7, Resulting Numbers: [18, 89, 7]
Generated Node #2: [18, 89, 7] from Operation: 60-53=7
Current State: 37:[18, 89, 7], Operations: ['60-53=7']
Exploring Operation: 18*7=126, Resulting Numbers: [89, 126]
Generated Node #3: [89, 126] from Operation: 18*7=126
Current State: 37:[89, 126], Operations: ['60-53=7', '18*7=126']
Exploring Operation: 126-89=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
5,
88,
91,
48
] | 83 | [
"88-48=40",
"40/5=8",
"91-8=83"
] | Current State: 83:[5, 88, 91, 48], Operations: []
Exploring Operation: 88-48=40, Resulting Numbers: [5, 91, 40]
Generated Node #2: [5, 91, 40] from Operation: 88-48=40
Current State: 83:[5, 91, 40], Operations: ['88-48=40']
Exploring Operation: 40/5=8, Resulting Numbers: [91, 8]
Generated Node #3: [91, 8] from Operation: 40/5=8
Current State: 83:[91, 8], Operations: ['88-48=40', '40/5=8']
Exploring Operation: 91-8=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
84,
86,
7,
4
] | 20 | [
"86-84=2",
"7-2=5",
"4*5=20"
] | Current State: 20:[84, 86, 7, 4], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [7, 4, 2]
Generated Node #2: [7, 4, 2] from Operation: 86-84=2
Current State: 20:[7, 4, 2], Operations: ['86-84=2']
Exploring Operation: 7-2=5, Resulting Numbers: [4, 5]
Generated Node #3: [4, 5] from Operation: 7-2=5
Current State: 20:[4, 5], Operations: ['86-84=2', '7-2=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
27,
23,
82,
6
] | 96 | [
"27*82=2214",
"2214-6=2208",
"2208/23=96"
] | Current State: 96:[27, 23, 82, 6], Operations: []
Exploring Operation: 27*82=2214, Resulting Numbers: [23, 6, 2214]
Generated Node #2: [23, 6, 2214] from Operation: 27*82=2214
Current State: 96:[23, 6, 2214], Operations: ['27*82=2214']
Exploring Operation: 2214-6=2208, Resulting Numbers: [23, 2208]
Generated Node #3: [23, 2208] from Operation: 2214-6=2208
Current State: 96:[23, 2208], Operations: ['27*82=2214', '2214-6=2208']
Exploring Operation: 2208/23=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
70,
95,
39,
12
] | 76 | [
"95-70=25",
"39+12=51",
"25+51=76"
] | Current State: 76:[70, 95, 39, 12], Operations: []
Exploring Operation: 95-70=25, Resulting Numbers: [39, 12, 25]
Generated Node #2: [39, 12, 25] from Operation: 95-70=25
Current State: 76:[39, 12, 25], Operations: ['95-70=25']
Exploring Operation: 39+12=51, Resulting Numbers: [25, 51]
Generated Node #3: [25, 51] from Operation: 39+12=51
Current State: 76:[25, 51], Operations: ['95-70=25', '39+12=51']
Exploring Operation: 25+51=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
57,
72,
30,
60
] | 18 | [
"60-57=3",
"30*3=90",
"90-72=18"
] | Current State: 18:[57, 72, 30, 60], Operations: []
Exploring Operation: 60-57=3, Resulting Numbers: [72, 30, 3]
Generated Node #2: [72, 30, 3] from Operation: 60-57=3
Current State: 18:[72, 30, 3], Operations: ['60-57=3']
Exploring Operation: 30*3=90, Resulting Numbers: [72, 90]
Generated Node #3: [72, 90] from Operation: 30*3=90
Current State: 18:[72, 90], Operations: ['60-57=3', '30*3=90']
Exploring Operation: 90-72=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
15,
36,
30,
20
] | 48 | [
"30-15=15",
"36*20=720",
"720/15=48"
] | Current State: 48:[15, 36, 30, 20], Operations: []
Exploring Operation: 30-15=15, Resulting Numbers: [36, 20, 15]
Generated Node #2: [36, 20, 15] from Operation: 30-15=15
Current State: 48:[36, 20, 15], Operations: ['30-15=15']
Exploring Operation: 36*20=720, Resulting Numbers: [15, 720]
Generated Node #3: [15, 720] from Operation: 36*20=720
Current State: 48:[15, 720], Operations: ['30-15=15', '36*20=720']
Exploring Operation: 720/15=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
69,
17,
87,
6
] | 41 | [
"69-17=52",
"87+6=93",
"93-52=41"
] | Current State: 41:[69, 17, 87, 6], Operations: []
Exploring Operation: 69-17=52, Resulting Numbers: [87, 6, 52]
Generated Node #2: [87, 6, 52] from Operation: 69-17=52
Current State: 41:[87, 6, 52], Operations: ['69-17=52']
Exploring Operation: 87+6=93, Resulting Numbers: [52, 93]
Generated Node #3: [52, 93] from Operation: 87+6=93
Current State: 41:[52, 93], Operations: ['69-17=52', '87+6=93']
Exploring Operation: 93-52=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
22,
32,
48,
48
] | 55 | [
"22+32=54",
"48/48=1",
"54+1=55"
] | Current State: 55:[22, 32, 48, 48], Operations: []
Exploring Operation: 22+32=54, Resulting Numbers: [48, 48, 54]
Generated Node #2: [48, 48, 54] from Operation: 22+32=54
Current State: 55:[48, 48, 54], Operations: ['22+32=54']
Exploring Operation: 48/48=1, Resulting Numbers: [54, 1]
Generated Node #3: [54, 1] from Operation: 48/48=1
Current State: 55:[54, 1], Operations: ['22+32=54', '48/48=1']
Exploring Operation: 54+1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
30,
9,
60,
60
] | 10 | [
"60-30=30",
"60+30=90",
"90/9=10"
] | Current State: 10:[30, 9, 60, 60], Operations: []
Exploring Operation: 60-30=30, Resulting Numbers: [9, 30]
Generated Node #2: [9, 30] from Operation: 60-30=30
Current State: 10:[9, 30], Operations: ['60-30=30']
Exploring Operation: 60+30=90, Resulting Numbers: [9, 90]
Generated Node #3: [9, 90] from Operation: 60+30=90
Current State: 10:[9, 90], Operations: ['60-30=30', '60+30=90']
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
89,
10,
42,
42
] | 89 | [
"42-42=0",
"10*0=0",
"89+0=89"
] | Current State: 89:[89, 10, 42, 42], Operations: []
Exploring Operation: 42-42=0, Resulting Numbers: [89, 10, 0]
Generated Node #2: [89, 10, 0] from Operation: 42-42=0
Current State: 89:[89, 10, 0], Operations: ['42-42=0']
Exploring Operation: 10*0=0, Resulting Numbers: [89, 0]
Generated Node #3: [89, 0] from Operation: 10*0=0
Current State: 89:[89, 0], Operations: ['42-42=0', '10*0=0']
Exploring Operation: 89+0=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
35,
1,
80,
4
] | 51 | [
"1+4=5",
"80/5=16",
"35+16=51"
] | Current State: 51:[35, 1, 80, 4], Operations: []
Exploring Operation: 1+4=5, Resulting Numbers: [35, 80, 5]
Generated Node #2: [35, 80, 5] from Operation: 1+4=5
Current State: 51:[35, 80, 5], Operations: ['1+4=5']
Exploring Operation: 80/5=16, Resulting Numbers: [35, 16]
Generated Node #3: [35, 16] from Operation: 80/5=16
Current State: 51:[35, 16], Operations: ['1+4=5', '80/5=16']
Exploring Operation: 35+16=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
15,
5,
4,
12
] | 49 | [
"15-4=11",
"5*12=60",
"60-11=49"
] | Current State: 49:[15, 5, 4, 12], Operations: []
Exploring Operation: 15-4=11, Resulting Numbers: [5, 12, 11]
Generated Node #2: [5, 12, 11] from Operation: 15-4=11
Current State: 49:[5, 12, 11], Operations: ['15-4=11']
Exploring Operation: 5*12=60, Resulting Numbers: [11, 60]
Generated Node #3: [11, 60] from Operation: 5*12=60
Current State: 49:[11, 60], Operations: ['15-4=11', '5*12=60']
Exploring Operation: 60-11=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
66,
44,
29,
43
] | 96 | [
"66+44=110",
"43-29=14",
"110-14=96"
] | Current State: 96:[66, 44, 29, 43], Operations: []
Exploring Operation: 66+44=110, Resulting Numbers: [29, 43, 110]
Generated Node #2: [29, 43, 110] from Operation: 66+44=110
Current State: 96:[29, 43, 110], Operations: ['66+44=110']
Exploring Operation: 43-29=14, Resulting Numbers: [110, 14]
Generated Node #3: [110, 14] from Operation: 43-29=14
Current State: 96:[110, 14], Operations: ['66+44=110', '43-29=14']
Exploring Operation: 110-14=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
96,
4,
5,
94
] | 65 | [
"96/4=24",
"94-5=89",
"89-24=65"
] | Current State: 65:[96, 4, 5, 94], Operations: []
Exploring Operation: 96/4=24, Resulting Numbers: [5, 94, 24]
Generated Node #2: [5, 94, 24] from Operation: 96/4=24
Current State: 65:[5, 94, 24], Operations: ['96/4=24']
Exploring Operation: 94-5=89, Resulting Numbers: [24, 89]
Generated Node #3: [24, 89] from Operation: 94-5=89
Current State: 65:[24, 89], Operations: ['96/4=24', '94-5=89']
Exploring Operation: 89-24=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
5,
96,
31,
33
] | 46 | [
"96-31=65",
"65/5=13",
"33+13=46"
] | Current State: 46:[5, 96, 31, 33], Operations: []
Exploring Operation: 96-31=65, Resulting Numbers: [5, 33, 65]
Generated Node #2: [5, 33, 65] from Operation: 96-31=65
Current State: 46:[5, 33, 65], Operations: ['96-31=65']
Exploring Operation: 65/5=13, Resulting Numbers: [33, 13]
Generated Node #3: [33, 13] from Operation: 65/5=13
Current State: 46:[33, 13], Operations: ['96-31=65', '65/5=13']
Exploring Operation: 33+13=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
78,
8,
14,
12
] | 31 | [
"14-12=2",
"78/2=39",
"39-8=31"
] | Current State: 31:[78, 8, 14, 12], Operations: []
Exploring Operation: 14-12=2, Resulting Numbers: [78, 8, 2]
Generated Node #2: [78, 8, 2] from Operation: 14-12=2
Current State: 31:[78, 8, 2], Operations: ['14-12=2']
Exploring Operation: 78/2=39, Resulting Numbers: [8, 39]
Generated Node #3: [8, 39] from Operation: 78/2=39
Current State: 31:[8, 39], Operations: ['14-12=2', '78/2=39']
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
74,
44,
65,
39
] | 61 | [
"44-39=5",
"65/5=13",
"74-13=61"
] | Current State: 61:[74, 44, 65, 39], Operations: []
Exploring Operation: 44-39=5, Resulting Numbers: [74, 65, 5]
Generated Node #2: [74, 65, 5] from Operation: 44-39=5
Current State: 61:[74, 65, 5], Operations: ['44-39=5']
Exploring Operation: 65/5=13, Resulting Numbers: [74, 13]
Generated Node #3: [74, 13] from Operation: 65/5=13
Current State: 61:[74, 13], Operations: ['44-39=5', '65/5=13']
Exploring Operation: 74-13=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
31,
48,
57,
87
] | 55 | [
"31*87=2697",
"2697-57=2640",
"2640/48=55"
] | Current State: 55:[31, 48, 57, 87], Operations: []
Exploring Operation: 31*87=2697, Resulting Numbers: [48, 57, 2697]
Generated Node #2: [48, 57, 2697] from Operation: 31*87=2697
Current State: 55:[48, 57, 2697], Operations: ['31*87=2697']
Exploring Operation: 2697-57=2640, Resulting Numbers: [48, 2640]
Generated Node #3: [48, 2640] from Operation: 2697-57=2640
Current State: 55:[48, 2640], Operations: ['31*87=2697', '2697-57=2640']
Exploring Operation: 2640/48=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
14,
63,
42,
6
] | 15 | [
"14*63=882",
"882/42=21",
"21-6=15"
] | Current State: 15:[14, 63, 42, 6], Operations: []
Exploring Operation: 14*63=882, Resulting Numbers: [42, 6, 882]
Generated Node #2: [42, 6, 882] from Operation: 14*63=882
Current State: 15:[42, 6, 882], Operations: ['14*63=882']
Exploring Operation: 882/42=21, Resulting Numbers: [6, 21]
Generated Node #3: [6, 21] from Operation: 882/42=21
Current State: 15:[6, 21], Operations: ['14*63=882', '882/42=21']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
29,
45,
51,
63
] | 86 | [
"29+45=74",
"63-51=12",
"74+12=86"
] | Current State: 86:[29, 45, 51, 63], Operations: []
Exploring Operation: 29+45=74, Resulting Numbers: [51, 63, 74]
Generated Node #2: [51, 63, 74] from Operation: 29+45=74
Current State: 86:[51, 63, 74], Operations: ['29+45=74']
Exploring Operation: 63-51=12, Resulting Numbers: [74, 12]
Generated Node #3: [74, 12] from Operation: 63-51=12
Current State: 86:[74, 12], Operations: ['29+45=74', '63-51=12']
Exploring Operation: 74+12=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
4,
48,
3,
49
] | 35 | [
"3+49=52",
"52/4=13",
"48-13=35"
] | Current State: 35:[4, 48, 3, 49], Operations: []
Exploring Operation: 3+49=52, Resulting Numbers: [4, 48, 52]
Generated Node #2: [4, 48, 52] from Operation: 3+49=52
Current State: 35:[4, 48, 52], Operations: ['3+49=52']
Exploring Operation: 52/4=13, Resulting Numbers: [48, 13]
Generated Node #3: [48, 13] from Operation: 52/4=13
Current State: 35:[48, 13], Operations: ['3+49=52', '52/4=13']
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
72,
28,
22,
31
] | 97 | [
"72-28=44",
"22+31=53",
"44+53=97"
] | Current State: 97:[72, 28, 22, 31], Operations: []
Exploring Operation: 72-28=44, Resulting Numbers: [22, 31, 44]
Generated Node #2: [22, 31, 44] from Operation: 72-28=44
Current State: 97:[22, 31, 44], Operations: ['72-28=44']
Exploring Operation: 22+31=53, Resulting Numbers: [44, 53]
Generated Node #3: [44, 53] from Operation: 22+31=53
Current State: 97:[44, 53], Operations: ['72-28=44', '22+31=53']
Exploring Operation: 44+53=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
53,
2,
6,
12
] | 35 | [
"53+6=59",
"2*12=24",
"59-24=35"
] | Current State: 35:[53, 2, 6, 12], Operations: []
Exploring Operation: 53+6=59, Resulting Numbers: [2, 12, 59]
Generated Node #2: [2, 12, 59] from Operation: 53+6=59
Current State: 35:[2, 12, 59], Operations: ['53+6=59']
Exploring Operation: 2*12=24, Resulting Numbers: [59, 24]
Generated Node #3: [59, 24] from Operation: 2*12=24
Current State: 35:[59, 24], Operations: ['53+6=59', '2*12=24']
Exploring Operation: 59-24=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
80,
5,
17,
43
] | 21 | [
"80*5=400",
"400-43=357",
"357/17=21"
] | Current State: 21:[80, 5, 17, 43], Operations: []
Exploring Operation: 80*5=400, Resulting Numbers: [17, 43, 400]
Generated Node #2: [17, 43, 400] from Operation: 80*5=400
Current State: 21:[17, 43, 400], Operations: ['80*5=400']
Exploring Operation: 400-43=357, Resulting Numbers: [17, 357]
Generated Node #3: [17, 357] from Operation: 400-43=357
Current State: 21:[17, 357], Operations: ['80*5=400', '400-43=357']
Exploring Operation: 357/17=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
36,
46,
34,
32
] | 60 | [
"36-34=2",
"46*2=92",
"92-32=60"
] | Current State: 60:[36, 46, 34, 32], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [46, 32, 2]
Generated Node #2: [46, 32, 2] from Operation: 36-34=2
Current State: 60:[46, 32, 2], Operations: ['36-34=2']
Exploring Operation: 46*2=92, Resulting Numbers: [32, 92]
Generated Node #3: [32, 92] from Operation: 46*2=92
Current State: 60:[32, 92], Operations: ['36-34=2', '46*2=92']
Exploring Operation: 92-32=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
74,
75,
3,
56
] | 91 | [
"74*3=222",
"75+56=131",
"222-131=91"
] | Current State: 91:[74, 75, 3, 56], Operations: []
Exploring Operation: 74*3=222, Resulting Numbers: [75, 56, 222]
Generated Node #2: [75, 56, 222] from Operation: 74*3=222
Current State: 91:[75, 56, 222], Operations: ['74*3=222']
Exploring Operation: 75+56=131, Resulting Numbers: [222, 131]
Generated Node #3: [222, 131] from Operation: 75+56=131
Current State: 91:[222, 131], Operations: ['74*3=222', '75+56=131']
Exploring Operation: 222-131=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
76,
15,
2,
23
] | 80 | [
"23-15=8",
"8/2=4",
"76+4=80"
] | Current State: 80:[76, 15, 2, 23], Operations: []
Exploring Operation: 23-15=8, Resulting Numbers: [76, 2, 8]
Generated Node #2: [76, 2, 8] from Operation: 23-15=8
Current State: 80:[76, 2, 8], Operations: ['23-15=8']
Exploring Operation: 8/2=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 8/2=4
Current State: 80:[76, 4], Operations: ['23-15=8', '8/2=4']
Exploring Operation: 76+4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
62,
7,
88,
30
] | 60 | [
"62+88=150",
"7*30=210",
"210-150=60"
] | Current State: 60:[62, 7, 88, 30], Operations: []
Exploring Operation: 62+88=150, Resulting Numbers: [7, 30, 150]
Generated Node #2: [7, 30, 150] from Operation: 62+88=150
Current State: 60:[7, 30, 150], Operations: ['62+88=150']
Exploring Operation: 7*30=210, Resulting Numbers: [150, 210]
Generated Node #3: [150, 210] from Operation: 7*30=210
Current State: 60:[150, 210], Operations: ['62+88=150', '7*30=210']
Exploring Operation: 210-150=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
50,
98,
3,
83
] | 38 | [
"98-50=48",
"3+83=86",
"86-48=38"
] | Current State: 38:[50, 98, 3, 83], Operations: []
Exploring Operation: 98-50=48, Resulting Numbers: [3, 83, 48]
Generated Node #2: [3, 83, 48] from Operation: 98-50=48
Current State: 38:[3, 83, 48], Operations: ['98-50=48']
Exploring Operation: 3+83=86, Resulting Numbers: [48, 86]
Generated Node #3: [48, 86] from Operation: 3+83=86
Current State: 38:[48, 86], Operations: ['98-50=48', '3+83=86']
Exploring Operation: 86-48=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
10,
24,
57,
61
] | 86 | [
"61-57=4",
"24*4=96",
"96-10=86"
] | Current State: 86:[10, 24, 57, 61], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [10, 24, 4]
Generated Node #2: [10, 24, 4] from Operation: 61-57=4
Current State: 86:[10, 24, 4], Operations: ['61-57=4']
Exploring Operation: 24*4=96, Resulting Numbers: [10, 96]
Generated Node #3: [10, 96] from Operation: 24*4=96
Current State: 86:[10, 96], Operations: ['61-57=4', '24*4=96']
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
78,
66,
70,
62
] | 76 | [
"70+62=132",
"132/66=2",
"78-2=76"
] | Current State: 76:[78, 66, 70, 62], Operations: []
Exploring Operation: 70+62=132, Resulting Numbers: [78, 66, 132]
Generated Node #2: [78, 66, 132] from Operation: 70+62=132
Current State: 76:[78, 66, 132], Operations: ['70+62=132']
Exploring Operation: 132/66=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 132/66=2
Current State: 76:[78, 2], Operations: ['70+62=132', '132/66=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
86,
70,
99,
92
] | 96 | [
"99-92=7",
"70/7=10",
"86+10=96"
] | Current State: 96:[86, 70, 99, 92], Operations: []
Exploring Operation: 99-92=7, Resulting Numbers: [86, 70, 7]
Generated Node #2: [86, 70, 7] from Operation: 99-92=7
Current State: 96:[86, 70, 7], Operations: ['99-92=7']
Exploring Operation: 70/7=10, Resulting Numbers: [86, 10]
Generated Node #3: [86, 10] from Operation: 70/7=10
Current State: 96:[86, 10], Operations: ['99-92=7', '70/7=10']
Exploring Operation: 86+10=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
64,
61,
17,
53
] | 67 | [
"64-61=3",
"17+53=70",
"70-3=67"
] | Current State: 67:[64, 61, 17, 53], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [17, 53, 3]
Generated Node #2: [17, 53, 3] from Operation: 64-61=3
Current State: 67:[17, 53, 3], Operations: ['64-61=3']
Exploring Operation: 17+53=70, Resulting Numbers: [3, 70]
Generated Node #3: [3, 70] from Operation: 17+53=70
Current State: 67:[3, 70], Operations: ['64-61=3', '17+53=70']
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
6,
7,
57,
63
] | 48 | [
"6*7=42",
"63-57=6",
"42+6=48"
] | Current State: 48:[6, 7, 57, 63], Operations: []
Exploring Operation: 6*7=42, Resulting Numbers: [57, 63, 42]
Generated Node #2: [57, 63, 42] from Operation: 6*7=42
Current State: 48:[57, 63, 42], Operations: ['6*7=42']
Exploring Operation: 63-57=6, Resulting Numbers: [42, 6]
Generated Node #3: [42, 6] from Operation: 63-57=6
Current State: 48:[42, 6], Operations: ['6*7=42', '63-57=6']
Exploring Operation: 42+6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
2,
17,
86,
72
] | 83 | [
"2*86=172",
"17+72=89",
"172-89=83"
] | Current State: 83:[2, 17, 86, 72], Operations: []
Exploring Operation: 2*86=172, Resulting Numbers: [17, 72, 172]
Generated Node #2: [17, 72, 172] from Operation: 2*86=172
Current State: 83:[17, 72, 172], Operations: ['2*86=172']
Exploring Operation: 17+72=89, Resulting Numbers: [172, 89]
Generated Node #3: [172, 89] from Operation: 17+72=89
Current State: 83:[172, 89], Operations: ['2*86=172', '17+72=89']
Exploring Operation: 172-89=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
62,
62,
11,
96
] | 20 | [
"62+62=124",
"96+124=220",
"220/11=20"
] | Current State: 20:[62, 62, 11, 96], Operations: []
Exploring Operation: 62+62=124, Resulting Numbers: [11, 96, 124]
Generated Node #2: [11, 96, 124] from Operation: 62+62=124
Current State: 20:[11, 96, 124], Operations: ['62+62=124']
Exploring Operation: 96+124=220, Resulting Numbers: [11, 220]
Generated Node #3: [11, 220] from Operation: 96+124=220
Current State: 20:[11, 220], Operations: ['62+62=124', '96+124=220']
Exploring Operation: 220/11=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
34,
2,
3,
3
] | 91 | [
"34-3=31",
"3*31=93",
"93-2=91"
] | Current State: 91:[34, 2, 3, 3], Operations: []
Exploring Operation: 34-3=31, Resulting Numbers: [2, 31]
Generated Node #2: [2, 31] from Operation: 34-3=31
Current State: 91:[2, 31], Operations: ['34-3=31']
Exploring Operation: 3*31=93, Resulting Numbers: [2, 93]
Generated Node #3: [2, 93] from Operation: 3*31=93
Current State: 91:[2, 93], Operations: ['34-3=31', '3*31=93']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
6,
35,
9,
58
] | 47 | [
"9-6=3",
"35*3=105",
"105-58=47"
] | Current State: 47:[6, 35, 9, 58], Operations: []
Exploring Operation: 9-6=3, Resulting Numbers: [35, 58, 3]
Generated Node #2: [35, 58, 3] from Operation: 9-6=3
Current State: 47:[35, 58, 3], Operations: ['9-6=3']
Exploring Operation: 35*3=105, Resulting Numbers: [58, 105]
Generated Node #3: [58, 105] from Operation: 35*3=105
Current State: 47:[58, 105], Operations: ['9-6=3', '35*3=105']
Exploring Operation: 105-58=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
18,
10,
51,
57
] | 16 | [
"51+57=108",
"108/18=6",
"10+6=16"
] | Current State: 16:[18, 10, 51, 57], Operations: []
Exploring Operation: 51+57=108, Resulting Numbers: [18, 10, 108]
Generated Node #2: [18, 10, 108] from Operation: 51+57=108
Current State: 16:[18, 10, 108], Operations: ['51+57=108']
Exploring Operation: 108/18=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 108/18=6
Current State: 16:[10, 6], Operations: ['51+57=108', '108/18=6']
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
5,
23,
53,
25
] | 35 | [
"25/5=5",
"53-23=30",
"5+30=35"
] | Current State: 35:[5, 23, 53, 25], Operations: []
Exploring Operation: 25/5=5, Resulting Numbers: [23, 53, 5]
Generated Node #2: [23, 53, 5] from Operation: 25/5=5
Current State: 35:[23, 53, 5], Operations: ['25/5=5']
Exploring Operation: 53-23=30, Resulting Numbers: [5, 30]
Generated Node #3: [5, 30] from Operation: 53-23=30
Current State: 35:[5, 30], Operations: ['25/5=5', '53-23=30']
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
44,
93,
36,
54
] | 31 | [
"93-44=49",
"54-36=18",
"49-18=31"
] | Current State: 31:[44, 93, 36, 54], Operations: []
Exploring Operation: 93-44=49, Resulting Numbers: [36, 54, 49]
Generated Node #2: [36, 54, 49] from Operation: 93-44=49
Current State: 31:[36, 54, 49], Operations: ['93-44=49']
Exploring Operation: 54-36=18, Resulting Numbers: [49, 18]
Generated Node #3: [49, 18] from Operation: 54-36=18
Current State: 31:[49, 18], Operations: ['93-44=49', '54-36=18']
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
52,
54,
24,
25
] | 51 | [
"54-52=2",
"24+25=49",
"2+49=51"
] | Current State: 51:[52, 54, 24, 25], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [24, 25, 2]
Generated Node #2: [24, 25, 2] from Operation: 54-52=2
Current State: 51:[24, 25, 2], Operations: ['54-52=2']
Exploring Operation: 24+25=49, Resulting Numbers: [2, 49]
Generated Node #3: [2, 49] from Operation: 24+25=49
Current State: 51:[2, 49], Operations: ['54-52=2', '24+25=49']
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
39,
63,
21,
22
] | 42 | [
"63-39=24",
"24-22=2",
"21*2=42"
] | Current State: 42:[39, 63, 21, 22], Operations: []
Exploring Operation: 63-39=24, Resulting Numbers: [21, 22, 24]
Generated Node #2: [21, 22, 24] from Operation: 63-39=24
Current State: 42:[21, 22, 24], Operations: ['63-39=24']
Exploring Operation: 24-22=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 24-22=2
Current State: 42:[21, 2], Operations: ['63-39=24', '24-22=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
7,
60,
55,
50
] | 19 | [
"55-50=5",
"60/5=12",
"7+12=19"
] | Current State: 19:[7, 60, 55, 50], Operations: []
Exploring Operation: 55-50=5, Resulting Numbers: [7, 60, 5]
Generated Node #2: [7, 60, 5] from Operation: 55-50=5
Current State: 19:[7, 60, 5], Operations: ['55-50=5']
Exploring Operation: 60/5=12, Resulting Numbers: [7, 12]
Generated Node #3: [7, 12] from Operation: 60/5=12
Current State: 19:[7, 12], Operations: ['55-50=5', '60/5=12']
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
72,
76,
66,
36
] | 75 | [
"76-72=4",
"36/4=9",
"66+9=75"
] | Current State: 75:[72, 76, 66, 36], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [66, 36, 4]
Generated Node #2: [66, 36, 4] from Operation: 76-72=4
Current State: 75:[66, 36, 4], Operations: ['76-72=4']
Exploring Operation: 36/4=9, Resulting Numbers: [66, 9]
Generated Node #3: [66, 9] from Operation: 36/4=9
Current State: 75:[66, 9], Operations: ['76-72=4', '36/4=9']
Exploring Operation: 66+9=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
26,
21,
39,
62
] | 70 | [
"26+21=47",
"62-39=23",
"47+23=70"
] | Current State: 70:[26, 21, 39, 62], Operations: []
Exploring Operation: 26+21=47, Resulting Numbers: [39, 62, 47]
Generated Node #2: [39, 62, 47] from Operation: 26+21=47
Current State: 70:[39, 62, 47], Operations: ['26+21=47']
Exploring Operation: 62-39=23, Resulting Numbers: [47, 23]
Generated Node #3: [47, 23] from Operation: 62-39=23
Current State: 70:[47, 23], Operations: ['26+21=47', '62-39=23']
Exploring Operation: 47+23=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
76,
30,
72,
93
] | 59 | [
"76+30=106",
"72+93=165",
"165-106=59"
] | Current State: 59:[76, 30, 72, 93], Operations: []
Exploring Operation: 76+30=106, Resulting Numbers: [72, 93, 106]
Generated Node #2: [72, 93, 106] from Operation: 76+30=106
Current State: 59:[72, 93, 106], Operations: ['76+30=106']
Exploring Operation: 72+93=165, Resulting Numbers: [106, 165]
Generated Node #3: [106, 165] from Operation: 72+93=165
Current State: 59:[106, 165], Operations: ['76+30=106', '72+93=165']
Exploring Operation: 165-106=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
22,
29,
49,
69
] | 13 | [
"29-22=7",
"69-49=20",
"20-7=13"
] | Current State: 13:[22, 29, 49, 69], Operations: []
Exploring Operation: 29-22=7, Resulting Numbers: [49, 69, 7]
Generated Node #2: [49, 69, 7] from Operation: 29-22=7
Current State: 13:[49, 69, 7], Operations: ['29-22=7']
Exploring Operation: 69-49=20, Resulting Numbers: [7, 20]
Generated Node #3: [7, 20] from Operation: 69-49=20
Current State: 13:[7, 20], Operations: ['29-22=7', '69-49=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
63,
92,
74,
8
] | 28 | [
"63*8=504",
"92-74=18",
"504/18=28"
] | Current State: 28:[63, 92, 74, 8], Operations: []
Exploring Operation: 63*8=504, Resulting Numbers: [92, 74, 504]
Generated Node #2: [92, 74, 504] from Operation: 63*8=504
Current State: 28:[92, 74, 504], Operations: ['63*8=504']
Exploring Operation: 92-74=18, Resulting Numbers: [504, 18]
Generated Node #3: [504, 18] from Operation: 92-74=18
Current State: 28:[504, 18], Operations: ['63*8=504', '92-74=18']
Exploring Operation: 504/18=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
82,
26,
48,
88
] | 83 | [
"82+48=130",
"130/26=5",
"88-5=83"
] | Current State: 83:[82, 26, 48, 88], Operations: []
Exploring Operation: 82+48=130, Resulting Numbers: [26, 88, 130]
Generated Node #2: [26, 88, 130] from Operation: 82+48=130
Current State: 83:[26, 88, 130], Operations: ['82+48=130']
Exploring Operation: 130/26=5, Resulting Numbers: [88, 5]
Generated Node #3: [88, 5] from Operation: 130/26=5
Current State: 83:[88, 5], Operations: ['82+48=130', '130/26=5']
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
11,
48,
90,
22
] | 31 | [
"48-11=37",
"90-22=68",
"68-37=31"
] | Current State: 31:[11, 48, 90, 22], Operations: []
Exploring Operation: 48-11=37, Resulting Numbers: [90, 22, 37]
Generated Node #2: [90, 22, 37] from Operation: 48-11=37
Current State: 31:[90, 22, 37], Operations: ['48-11=37']
Exploring Operation: 90-22=68, Resulting Numbers: [37, 68]
Generated Node #3: [37, 68] from Operation: 90-22=68
Current State: 31:[37, 68], Operations: ['48-11=37', '90-22=68']
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
20,
59,
5,
21
] | 23 | [
"59-20=39",
"21-5=16",
"39-16=23"
] | Current State: 23:[20, 59, 5, 21], Operations: []
Exploring Operation: 59-20=39, Resulting Numbers: [5, 21, 39]
Generated Node #2: [5, 21, 39] from Operation: 59-20=39
Current State: 23:[5, 21, 39], Operations: ['59-20=39']
Exploring Operation: 21-5=16, Resulting Numbers: [39, 16]
Generated Node #3: [39, 16] from Operation: 21-5=16
Current State: 23:[39, 16], Operations: ['59-20=39', '21-5=16']
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
17,
59,
21,
42
] | 74 | [
"17+59=76",
"42/21=2",
"76-2=74"
] | Current State: 74:[17, 59, 21, 42], Operations: []
Exploring Operation: 17+59=76, Resulting Numbers: [21, 42, 76]
Generated Node #2: [21, 42, 76] from Operation: 17+59=76
Current State: 74:[21, 42, 76], Operations: ['17+59=76']
Exploring Operation: 42/21=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 42/21=2
Current State: 74:[76, 2], Operations: ['17+59=76', '42/21=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
7,
44,
63,
93
] | 40 | [
"63/7=9",
"93-44=49",
"49-9=40"
] | Current State: 40:[7, 44, 63, 93], Operations: []
Exploring Operation: 63/7=9, Resulting Numbers: [44, 93, 9]
Generated Node #2: [44, 93, 9] from Operation: 63/7=9
Current State: 40:[44, 93, 9], Operations: ['63/7=9']
Exploring Operation: 93-44=49, Resulting Numbers: [9, 49]
Generated Node #3: [9, 49] from Operation: 93-44=49
Current State: 40:[9, 49], Operations: ['63/7=9', '93-44=49']
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
36,
67,
63,
52
] | 61 | [
"67-63=4",
"36/4=9",
"52+9=61"
] | Current State: 61:[36, 67, 63, 52], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [36, 52, 4]
Generated Node #2: [36, 52, 4] from Operation: 67-63=4
Current State: 61:[36, 52, 4], Operations: ['67-63=4']
Exploring Operation: 36/4=9, Resulting Numbers: [52, 9]
Generated Node #3: [52, 9] from Operation: 36/4=9
Current State: 61:[52, 9], Operations: ['67-63=4', '36/4=9']
Exploring Operation: 52+9=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
8,
73,
7,
21
] | 38 | [
"8*7=56",
"73+21=94",
"94-56=38"
] | Current State: 38:[8, 73, 7, 21], Operations: []
Exploring Operation: 8*7=56, Resulting Numbers: [73, 21, 56]
Generated Node #2: [73, 21, 56] from Operation: 8*7=56
Current State: 38:[73, 21, 56], Operations: ['8*7=56']
Exploring Operation: 73+21=94, Resulting Numbers: [56, 94]
Generated Node #3: [56, 94] from Operation: 73+21=94
Current State: 38:[56, 94], Operations: ['8*7=56', '73+21=94']
Exploring Operation: 94-56=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
90,
8,
18,
10
] | 75 | [
"90/18=5",
"8*10=80",
"80-5=75"
] | Current State: 75:[90, 8, 18, 10], Operations: []
Exploring Operation: 90/18=5, Resulting Numbers: [8, 10, 5]
Generated Node #2: [8, 10, 5] from Operation: 90/18=5
Current State: 75:[8, 10, 5], Operations: ['90/18=5']
Exploring Operation: 8*10=80, Resulting Numbers: [5, 80]
Generated Node #3: [5, 80] from Operation: 8*10=80
Current State: 75:[5, 80], Operations: ['90/18=5', '8*10=80']
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
78,
31,
69,
72
] | 50 | [
"78-31=47",
"72-69=3",
"47+3=50"
] | Current State: 50:[78, 31, 69, 72], Operations: []
Exploring Operation: 78-31=47, Resulting Numbers: [69, 72, 47]
Generated Node #2: [69, 72, 47] from Operation: 78-31=47
Current State: 50:[69, 72, 47], Operations: ['78-31=47']
Exploring Operation: 72-69=3, Resulting Numbers: [47, 3]
Generated Node #3: [47, 3] from Operation: 72-69=3
Current State: 50:[47, 3], Operations: ['78-31=47', '72-69=3']
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
28,
62,
70,
69
] | 66 | [
"69-62=7",
"28/7=4",
"70-4=66"
] | Current State: 66:[28, 62, 70, 69], Operations: []
Exploring Operation: 69-62=7, Resulting Numbers: [28, 70, 7]
Generated Node #2: [28, 70, 7] from Operation: 69-62=7
Current State: 66:[28, 70, 7], Operations: ['69-62=7']
Exploring Operation: 28/7=4, Resulting Numbers: [70, 4]
Generated Node #3: [70, 4] from Operation: 28/7=4
Current State: 66:[70, 4], Operations: ['69-62=7', '28/7=4']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
31,
34,
47,
28
] | 46 | [
"31+34=65",
"47-28=19",
"65-19=46"
] | Current State: 46:[31, 34, 47, 28], Operations: []
Exploring Operation: 31+34=65, Resulting Numbers: [47, 28, 65]
Generated Node #2: [47, 28, 65] from Operation: 31+34=65
Current State: 46:[47, 28, 65], Operations: ['31+34=65']
Exploring Operation: 47-28=19, Resulting Numbers: [65, 19]
Generated Node #3: [65, 19] from Operation: 47-28=19
Current State: 46:[65, 19], Operations: ['31+34=65', '47-28=19']
Exploring Operation: 65-19=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
89,
9,
18,
55
] | 32 | [
"89-55=34",
"18/9=2",
"34-2=32"
] | Current State: 32:[89, 9, 18, 55], Operations: []
Exploring Operation: 89-55=34, Resulting Numbers: [9, 18, 34]
Generated Node #2: [9, 18, 34] from Operation: 89-55=34
Current State: 32:[9, 18, 34], Operations: ['89-55=34']
Exploring Operation: 18/9=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 18/9=2
Current State: 32:[34, 2], Operations: ['89-55=34', '18/9=2']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
2,
29,
82,
41
] | 60 | [
"2*29=58",
"82/41=2",
"58+2=60"
] | Current State: 60:[2, 29, 82, 41], Operations: []
Exploring Operation: 2*29=58, Resulting Numbers: [82, 41, 58]
Generated Node #2: [82, 41, 58] from Operation: 2*29=58
Current State: 60:[82, 41, 58], Operations: ['2*29=58']
Exploring Operation: 82/41=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 82/41=2
Current State: 60:[58, 2], Operations: ['2*29=58', '82/41=2']
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
25,
83,
26,
27
] | 79 | [
"83*26=2158",
"2158-25=2133",
"2133/27=79"
] | Current State: 79:[25, 83, 26, 27], Operations: []
Exploring Operation: 83*26=2158, Resulting Numbers: [25, 27, 2158]
Generated Node #2: [25, 27, 2158] from Operation: 83*26=2158
Current State: 79:[25, 27, 2158], Operations: ['83*26=2158']
Exploring Operation: 2158-25=2133, Resulting Numbers: [27, 2133]
Generated Node #3: [27, 2133] from Operation: 2158-25=2133
Current State: 79:[27, 2133], Operations: ['83*26=2158', '2158-25=2133']
Exploring Operation: 2133/27=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
40,
14,
84,
19
] | 65 | [
"40+19=59",
"84/14=6",
"59+6=65"
] | Current State: 65:[40, 14, 84, 19], Operations: []
Exploring Operation: 40+19=59, Resulting Numbers: [14, 84, 59]
Generated Node #2: [14, 84, 59] from Operation: 40+19=59
Current State: 65:[14, 84, 59], Operations: ['40+19=59']
Exploring Operation: 84/14=6, Resulting Numbers: [59, 6]
Generated Node #3: [59, 6] from Operation: 84/14=6
Current State: 65:[59, 6], Operations: ['40+19=59', '84/14=6']
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
6,
97,
95,
90
] | 94 | [
"97-6=91",
"95+90=185",
"185-91=94"
] | Current State: 94:[6, 97, 95, 90], Operations: []
Exploring Operation: 97-6=91, Resulting Numbers: [95, 90, 91]
Generated Node #2: [95, 90, 91] from Operation: 97-6=91
Current State: 94:[95, 90, 91], Operations: ['97-6=91']
Exploring Operation: 95+90=185, Resulting Numbers: [91, 185]
Generated Node #3: [91, 185] from Operation: 95+90=185
Current State: 94:[91, 185], Operations: ['97-6=91', '95+90=185']
Exploring Operation: 185-91=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
3,
19,
5,
96
] | 58 | [
"5-3=2",
"19*2=38",
"96-38=58"
] | Current State: 58:[3, 19, 5, 96], Operations: []
Exploring Operation: 5-3=2, Resulting Numbers: [19, 96, 2]
Generated Node #2: [19, 96, 2] from Operation: 5-3=2
Current State: 58:[19, 96, 2], Operations: ['5-3=2']
Exploring Operation: 19*2=38, Resulting Numbers: [96, 38]
Generated Node #3: [96, 38] from Operation: 19*2=38
Current State: 58:[96, 38], Operations: ['5-3=2', '19*2=38']
Exploring Operation: 96-38=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
93,
75,
9,
60
] | 92 | [
"93+60=153",
"153/9=17",
"75+17=92"
] | Current State: 92:[93, 75, 9, 60], Operations: []
Exploring Operation: 93+60=153, Resulting Numbers: [75, 9, 153]
Generated Node #2: [75, 9, 153] from Operation: 93+60=153
Current State: 92:[75, 9, 153], Operations: ['93+60=153']
Exploring Operation: 153/9=17, Resulting Numbers: [75, 17]
Generated Node #3: [75, 17] from Operation: 153/9=17
Current State: 92:[75, 17], Operations: ['93+60=153', '153/9=17']
Exploring Operation: 75+17=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
17,
98,
13,
18
] | 26 | [
"17-13=4",
"18*4=72",
"98-72=26"
] | Current State: 26:[17, 98, 13, 18], Operations: []
Exploring Operation: 17-13=4, Resulting Numbers: [98, 18, 4]
Generated Node #2: [98, 18, 4] from Operation: 17-13=4
Current State: 26:[98, 18, 4], Operations: ['17-13=4']
Exploring Operation: 18*4=72, Resulting Numbers: [98, 72]
Generated Node #3: [98, 72] from Operation: 18*4=72
Current State: 26:[98, 72], Operations: ['17-13=4', '18*4=72']
Exploring Operation: 98-72=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
94,
28,
5,
97
] | 20 | [
"94+28=122",
"5+97=102",
"122-102=20"
] | Current State: 20:[94, 28, 5, 97], Operations: []
Exploring Operation: 94+28=122, Resulting Numbers: [5, 97, 122]
Generated Node #2: [5, 97, 122] from Operation: 94+28=122
Current State: 20:[5, 97, 122], Operations: ['94+28=122']
Exploring Operation: 5+97=102, Resulting Numbers: [122, 102]
Generated Node #3: [122, 102] from Operation: 5+97=102
Current State: 20:[122, 102], Operations: ['94+28=122', '5+97=102']
Exploring Operation: 122-102=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
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