nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
7,
52,
23,
33
] | 76 | [
"7*23=161",
"52+33=85",
"161-85=76"
] | Current State: 76:[7, 52, 23, 33], Operations: []
Exploring Operation: 7*23=161, Resulting Numbers: [52, 33, 161]
Generated Node #2: [52, 33, 161] from Operation: 7*23=161
Current State: 76:[52, 33, 161], Operations: ['7*23=161']
Exploring Operation: 52+33=85, Resulting Numbers: [161, 85]
Generated Node #3: [161, 85] from Operation: 52+33=85
Current State: 76:[161, 85], Operations: ['7*23=161', '52+33=85']
Exploring Operation: 161-85=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
83,
17,
2,
13
] | 68 | [
"17+13=30",
"30/2=15",
"83-15=68"
] | Current State: 68:[83, 17, 2, 13], Operations: []
Exploring Operation: 17+13=30, Resulting Numbers: [83, 2, 30]
Generated Node #2: [83, 2, 30] from Operation: 17+13=30
Current State: 68:[83, 2, 30], Operations: ['17+13=30']
Exploring Operation: 30/2=15, Resulting Numbers: [83, 15]
Generated Node #3: [83, 15] from Operation: 30/2=15
Current State: 68:[83, 15], Operations: ['17+13=30', '30/2=15']
Exploring Operation: 83-15=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
3,
52,
7,
44
] | 69 | [
"7+44=51",
"51/3=17",
"52+17=69"
] | Current State: 69:[3, 52, 7, 44], Operations: []
Exploring Operation: 7+44=51, Resulting Numbers: [3, 52, 51]
Generated Node #2: [3, 52, 51] from Operation: 7+44=51
Current State: 69:[3, 52, 51], Operations: ['7+44=51']
Exploring Operation: 51/3=17, Resulting Numbers: [52, 17]
Generated Node #3: [52, 17] from Operation: 51/3=17
Current State: 69:[52, 17], Operations: ['7+44=51', '51/3=17']
Exploring Operation: 52+17=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
95,
43,
24,
35
] | 41 | [
"95-43=52",
"35-24=11",
"52-11=41"
] | Current State: 41:[95, 43, 24, 35], Operations: []
Exploring Operation: 95-43=52, Resulting Numbers: [24, 35, 52]
Generated Node #2: [24, 35, 52] from Operation: 95-43=52
Current State: 41:[24, 35, 52], Operations: ['95-43=52']
Exploring Operation: 35-24=11, Resulting Numbers: [52, 11]
Generated Node #3: [52, 11] from Operation: 35-24=11
Current State: 41:[52, 11], Operations: ['95-43=52', '35-24=11']
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
25,
53,
83,
21
] | 76 | [
"53-25=28",
"83+21=104",
"104-28=76"
] | Current State: 76:[25, 53, 83, 21], Operations: []
Exploring Operation: 53-25=28, Resulting Numbers: [83, 21, 28]
Generated Node #2: [83, 21, 28] from Operation: 53-25=28
Current State: 76:[83, 21, 28], Operations: ['53-25=28']
Exploring Operation: 83+21=104, Resulting Numbers: [28, 104]
Generated Node #3: [28, 104] from Operation: 83+21=104
Current State: 76:[28, 104], Operations: ['53-25=28', '83+21=104']
Exploring Operation: 104-28=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
11,
66,
77,
22
] | 63 | [
"77-11=66",
"66/22=3",
"66-3=63"
] | Current State: 63:[11, 66, 77, 22], Operations: []
Exploring Operation: 77-11=66, Resulting Numbers: [66, 22, 66]
Generated Node #2: [66, 22, 66] from Operation: 77-11=66
Current State: 63:[66, 22, 66], Operations: ['77-11=66']
Exploring Operation: 66/22=3, Resulting Numbers: [3]
3,63 equal: Goal Reached
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
12,
6,
78,
48
] | 47 | [
"12+48=60",
"78/6=13",
"60-13=47"
] | Current State: 47:[12, 6, 78, 48], Operations: []
Exploring Operation: 12+48=60, Resulting Numbers: [6, 78, 60]
Generated Node #2: [6, 78, 60] from Operation: 12+48=60
Current State: 47:[6, 78, 60], Operations: ['12+48=60']
Exploring Operation: 78/6=13, Resulting Numbers: [60, 13]
Generated Node #3: [60, 13] from Operation: 78/6=13
Current State: 47:[60, 13], Operations: ['12+48=60', '78/6=13']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
81,
80,
11,
95
] | 96 | [
"81+95=176",
"176/11=16",
"80+16=96"
] | Current State: 96:[81, 80, 11, 95], Operations: []
Exploring Operation: 81+95=176, Resulting Numbers: [80, 11, 176]
Generated Node #2: [80, 11, 176] from Operation: 81+95=176
Current State: 96:[80, 11, 176], Operations: ['81+95=176']
Exploring Operation: 176/11=16, Resulting Numbers: [80, 16]
Generated Node #3: [80, 16] from Operation: 176/11=16
Current State: 96:[80, 16], Operations: ['81+95=176', '176/11=16']
Exploring Operation: 80+16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
35,
68,
2,
41
] | 58 | [
"35*68=2380",
"2380-2=2378",
"2378/41=58"
] | Current State: 58:[35, 68, 2, 41], Operations: []
Exploring Operation: 35*68=2380, Resulting Numbers: [2, 41, 2380]
Generated Node #2: [2, 41, 2380] from Operation: 35*68=2380
Current State: 58:[2, 41, 2380], Operations: ['35*68=2380']
Exploring Operation: 2380-2=2378, Resulting Numbers: [41, 2378]
Generated Node #3: [41, 2378] from Operation: 2380-2=2378
Current State: 58:[41, 2378], Operations: ['35*68=2380', '2380-2=2378']
Exploring Operation: 2378/41=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
99,
16,
98,
2
] | 31 | [
"99-98=1",
"16*2=32",
"32-1=31"
] | Current State: 31:[99, 16, 98, 2], Operations: []
Exploring Operation: 99-98=1, Resulting Numbers: [16, 2, 1]
Generated Node #2: [16, 2, 1] from Operation: 99-98=1
Current State: 31:[16, 2, 1], Operations: ['99-98=1']
Exploring Operation: 16*2=32, Resulting Numbers: [1, 32]
Generated Node #3: [1, 32] from Operation: 16*2=32
Current State: 31:[1, 32], Operations: ['99-98=1', '16*2=32']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
84,
38,
12,
10
] | 97 | [
"84*12=1008",
"1008-38=970",
"970/10=97"
] | Current State: 97:[84, 38, 12, 10], Operations: []
Exploring Operation: 84*12=1008, Resulting Numbers: [38, 10, 1008]
Generated Node #2: [38, 10, 1008] from Operation: 84*12=1008
Current State: 97:[38, 10, 1008], Operations: ['84*12=1008']
Exploring Operation: 1008-38=970, Resulting Numbers: [10, 970]
Generated Node #3: [10, 970] from Operation: 1008-38=970
Current State: 97:[10, 970], Operations: ['84*12=1008', '1008-38=970']
Exploring Operation: 970/10=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
4,
53,
38,
31
] | 59 | [
"53+31=84",
"84/4=21",
"38+21=59"
] | Current State: 59:[4, 53, 38, 31], Operations: []
Exploring Operation: 53+31=84, Resulting Numbers: [4, 38, 84]
Generated Node #2: [4, 38, 84] from Operation: 53+31=84
Current State: 59:[4, 38, 84], Operations: ['53+31=84']
Exploring Operation: 84/4=21, Resulting Numbers: [38, 21]
Generated Node #3: [38, 21] from Operation: 84/4=21
Current State: 59:[38, 21], Operations: ['53+31=84', '84/4=21']
Exploring Operation: 38+21=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
75,
53,
33,
36
] | 24 | [
"75-53=22",
"36*22=792",
"792/33=24"
] | Current State: 24:[75, 53, 33, 36], Operations: []
Exploring Operation: 75-53=22, Resulting Numbers: [33, 36, 22]
Generated Node #2: [33, 36, 22] from Operation: 75-53=22
Current State: 24:[33, 36, 22], Operations: ['75-53=22']
Exploring Operation: 36*22=792, Resulting Numbers: [33, 792]
Generated Node #3: [33, 792] from Operation: 36*22=792
Current State: 24:[33, 792], Operations: ['75-53=22', '36*22=792']
Exploring Operation: 792/33=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
90,
15,
40,
27
] | 73 | [
"90/15=6",
"40+27=67",
"6+67=73"
] | Current State: 73:[90, 15, 40, 27], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [40, 27, 6]
Generated Node #2: [40, 27, 6] from Operation: 90/15=6
Current State: 73:[40, 27, 6], Operations: ['90/15=6']
Exploring Operation: 40+27=67, Resulting Numbers: [6, 67]
Generated Node #3: [6, 67] from Operation: 40+27=67
Current State: 73:[6, 67], Operations: ['90/15=6', '40+27=67']
Exploring Operation: 6+67=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
37,
78,
3,
12
] | 78 | [
"3*12=36",
"37-36=1",
"78*1=78"
] | Current State: 78:[37, 78, 3, 12], Operations: []
Exploring Operation: 3*12=36, Resulting Numbers: [37, 78, 36]
Generated Node #2: [37, 78, 36] from Operation: 3*12=36
Current State: 78:[37, 78, 36], Operations: ['3*12=36']
Exploring Operation: 37-36=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 37-36=1
Current State: 78:[78, 1], Operations: ['3*12=36', '37-36=1']
Exploring Operation: 78*1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
2,
2,
21,
56
] | 98 | [
"56/2=28",
"21+28=49",
"2*49=98"
] | Current State: 98:[2, 2, 21, 56], Operations: []
Exploring Operation: 56/2=28, Resulting Numbers: [21, 28]
Generated Node #2: [21, 28] from Operation: 56/2=28
Current State: 98:[21, 28], Operations: ['56/2=28']
Exploring Operation: 21+28=49, Resulting Numbers: [49]
49,98 equal: Goal Reached
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
30,
46,
47,
43
] | 72 | [
"30+46=76",
"47-43=4",
"76-4=72"
] | Current State: 72:[30, 46, 47, 43], Operations: []
Exploring Operation: 30+46=76, Resulting Numbers: [47, 43, 76]
Generated Node #2: [47, 43, 76] from Operation: 30+46=76
Current State: 72:[47, 43, 76], Operations: ['30+46=76']
Exploring Operation: 47-43=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 47-43=4
Current State: 72:[76, 4], Operations: ['30+46=76', '47-43=4']
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
69,
5,
31,
47
] | 45 | [
"69-31=38",
"47-38=9",
"5*9=45"
] | Current State: 45:[69, 5, 31, 47], Operations: []
Exploring Operation: 69-31=38, Resulting Numbers: [5, 47, 38]
Generated Node #2: [5, 47, 38] from Operation: 69-31=38
Current State: 45:[5, 47, 38], Operations: ['69-31=38']
Exploring Operation: 47-38=9, Resulting Numbers: [5, 9]
Generated Node #3: [5, 9] from Operation: 47-38=9
Current State: 45:[5, 9], Operations: ['69-31=38', '47-38=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
56,
83,
53,
79
] | 25 | [
"56*79=4424",
"83*53=4399",
"4424-4399=25"
] | Current State: 25:[56, 83, 53, 79], Operations: []
Exploring Operation: 56*79=4424, Resulting Numbers: [83, 53, 4424]
Generated Node #2: [83, 53, 4424] from Operation: 56*79=4424
Current State: 25:[83, 53, 4424], Operations: ['56*79=4424']
Exploring Operation: 83*53=4399, Resulting Numbers: [4424, 4399]
Generated Node #3: [4424, 4399] from Operation: 83*53=4399
Current State: 25:[4424, 4399], Operations: ['56*79=4424', '83*53=4399']
Exploring Operation: 4424-4399=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
67,
68,
13,
68
] | 53 | [
"67-13=54",
"68/68=1",
"54-1=53"
] | Current State: 53:[67, 68, 13, 68], Operations: []
Exploring Operation: 67-13=54, Resulting Numbers: [68, 68, 54]
Generated Node #2: [68, 68, 54] from Operation: 67-13=54
Current State: 53:[68, 68, 54], Operations: ['67-13=54']
Exploring Operation: 68/68=1, Resulting Numbers: [54, 1]
Generated Node #3: [54, 1] from Operation: 68/68=1
Current State: 53:[54, 1], Operations: ['67-13=54', '68/68=1']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
66,
63,
25,
43
] | 32 | [
"66-63=3",
"25*3=75",
"75-43=32"
] | Current State: 32:[66, 63, 25, 43], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [25, 43, 3]
Generated Node #2: [25, 43, 3] from Operation: 66-63=3
Current State: 32:[25, 43, 3], Operations: ['66-63=3']
Exploring Operation: 25*3=75, Resulting Numbers: [43, 75]
Generated Node #3: [43, 75] from Operation: 25*3=75
Current State: 32:[43, 75], Operations: ['66-63=3', '25*3=75']
Exploring Operation: 75-43=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
30,
24,
33,
75
] | 83 | [
"33-30=3",
"24/3=8",
"75+8=83"
] | Current State: 83:[30, 24, 33, 75], Operations: []
Exploring Operation: 33-30=3, Resulting Numbers: [24, 75, 3]
Generated Node #2: [24, 75, 3] from Operation: 33-30=3
Current State: 83:[24, 75, 3], Operations: ['33-30=3']
Exploring Operation: 24/3=8, Resulting Numbers: [75, 8]
Generated Node #3: [75, 8] from Operation: 24/3=8
Current State: 83:[75, 8], Operations: ['33-30=3', '24/3=8']
Exploring Operation: 75+8=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
2,
55,
90,
95
] | 100 | [
"55+90=145",
"145-95=50",
"2*50=100"
] | Current State: 100:[2, 55, 90, 95], Operations: []
Exploring Operation: 55+90=145, Resulting Numbers: [2, 95, 145]
Generated Node #2: [2, 95, 145] from Operation: 55+90=145
Current State: 100:[2, 95, 145], Operations: ['55+90=145']
Exploring Operation: 145-95=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 145-95=50
Current State: 100:[2, 50], Operations: ['55+90=145', '145-95=50']
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
64,
2,
4,
28
] | 88 | [
"64/4=16",
"28+16=44",
"2*44=88"
] | Current State: 88:[64, 2, 4, 28], Operations: []
Exploring Operation: 64/4=16, Resulting Numbers: [2, 28, 16]
Generated Node #2: [2, 28, 16] from Operation: 64/4=16
Current State: 88:[2, 28, 16], Operations: ['64/4=16']
Exploring Operation: 28+16=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 28+16=44
Current State: 88:[2, 44], Operations: ['64/4=16', '28+16=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
9,
67,
11,
24
] | 19 | [
"11-9=2",
"24*2=48",
"67-48=19"
] | Current State: 19:[9, 67, 11, 24], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [67, 24, 2]
Generated Node #2: [67, 24, 2] from Operation: 11-9=2
Current State: 19:[67, 24, 2], Operations: ['11-9=2']
Exploring Operation: 24*2=48, Resulting Numbers: [67, 48]
Generated Node #3: [67, 48] from Operation: 24*2=48
Current State: 19:[67, 48], Operations: ['11-9=2', '24*2=48']
Exploring Operation: 67-48=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
62,
60,
34,
48
] | 12 | [
"62-60=2",
"48-34=14",
"14-2=12"
] | Current State: 12:[62, 60, 34, 48], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [34, 48, 2]
Generated Node #2: [34, 48, 2] from Operation: 62-60=2
Current State: 12:[34, 48, 2], Operations: ['62-60=2']
Exploring Operation: 48-34=14, Resulting Numbers: [2, 14]
Generated Node #3: [2, 14] from Operation: 48-34=14
Current State: 12:[2, 14], Operations: ['62-60=2', '48-34=14']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
26,
3,
91,
3
] | 91 | [
"3-3=0",
"26*0=0",
"91+0=91"
] | Current State: 91:[26, 3, 91, 3], Operations: []
Exploring Operation: 3-3=0, Resulting Numbers: [26, 91, 0]
Generated Node #2: [26, 91, 0] from Operation: 3-3=0
Current State: 91:[26, 91, 0], Operations: ['3-3=0']
Exploring Operation: 26*0=0, Resulting Numbers: [91, 0]
Generated Node #3: [91, 0] from Operation: 26*0=0
Current State: 91:[91, 0], Operations: ['3-3=0', '26*0=0']
Exploring Operation: 91+0=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
91,
26,
4,
77
] | 64 | [
"91+77=168",
"26*4=104",
"168-104=64"
] | Current State: 64:[91, 26, 4, 77], Operations: []
Exploring Operation: 91+77=168, Resulting Numbers: [26, 4, 168]
Generated Node #2: [26, 4, 168] from Operation: 91+77=168
Current State: 64:[26, 4, 168], Operations: ['91+77=168']
Exploring Operation: 26*4=104, Resulting Numbers: [168, 104]
Generated Node #3: [168, 104] from Operation: 26*4=104
Current State: 64:[168, 104], Operations: ['91+77=168', '26*4=104']
Exploring Operation: 168-104=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
53,
6,
37,
97
] | 42 | [
"53+37=90",
"97-90=7",
"6*7=42"
] | Current State: 42:[53, 6, 37, 97], Operations: []
Exploring Operation: 53+37=90, Resulting Numbers: [6, 97, 90]
Generated Node #2: [6, 97, 90] from Operation: 53+37=90
Current State: 42:[6, 97, 90], Operations: ['53+37=90']
Exploring Operation: 97-90=7, Resulting Numbers: [6, 7]
Generated Node #3: [6, 7] from Operation: 97-90=7
Current State: 42:[6, 7], Operations: ['53+37=90', '97-90=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
57,
86,
57,
20
] | 86 | [
"57-57=0",
"20*0=0",
"86+0=86"
] | Current State: 86:[57, 86, 57, 20], Operations: []
Exploring Operation: 57-57=0, Resulting Numbers: [86, 20, 0]
Generated Node #2: [86, 20, 0] from Operation: 57-57=0
Current State: 86:[86, 20, 0], Operations: ['57-57=0']
Exploring Operation: 20*0=0, Resulting Numbers: [86, 0]
Generated Node #3: [86, 0] from Operation: 20*0=0
Current State: 86:[86, 0], Operations: ['57-57=0', '20*0=0']
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
57,
14,
15,
71
] | 82 | [
"57+71=128",
"14*15=210",
"210-128=82"
] | Current State: 82:[57, 14, 15, 71], Operations: []
Exploring Operation: 57+71=128, Resulting Numbers: [14, 15, 128]
Generated Node #2: [14, 15, 128] from Operation: 57+71=128
Current State: 82:[14, 15, 128], Operations: ['57+71=128']
Exploring Operation: 14*15=210, Resulting Numbers: [128, 210]
Generated Node #3: [128, 210] from Operation: 14*15=210
Current State: 82:[128, 210], Operations: ['57+71=128', '14*15=210']
Exploring Operation: 210-128=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
94,
88,
37,
10
] | 41 | [
"94-88=6",
"37+10=47",
"47-6=41"
] | Current State: 41:[94, 88, 37, 10], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [37, 10, 6]
Generated Node #2: [37, 10, 6] from Operation: 94-88=6
Current State: 41:[37, 10, 6], Operations: ['94-88=6']
Exploring Operation: 37+10=47, Resulting Numbers: [6, 47]
Generated Node #3: [6, 47] from Operation: 37+10=47
Current State: 41:[6, 47], Operations: ['94-88=6', '37+10=47']
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
78,
86,
40,
27
] | 21 | [
"86-78=8",
"40-27=13",
"8+13=21"
] | Current State: 21:[78, 86, 40, 27], Operations: []
Exploring Operation: 86-78=8, Resulting Numbers: [40, 27, 8]
Generated Node #2: [40, 27, 8] from Operation: 86-78=8
Current State: 21:[40, 27, 8], Operations: ['86-78=8']
Exploring Operation: 40-27=13, Resulting Numbers: [8, 13]
Generated Node #3: [8, 13] from Operation: 40-27=13
Current State: 21:[8, 13], Operations: ['86-78=8', '40-27=13']
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
91,
50,
80,
66
] | 78 | [
"91-66=25",
"50/25=2",
"80-2=78"
] | Current State: 78:[91, 50, 80, 66], Operations: []
Exploring Operation: 91-66=25, Resulting Numbers: [50, 80, 25]
Generated Node #2: [50, 80, 25] from Operation: 91-66=25
Current State: 78:[50, 80, 25], Operations: ['91-66=25']
Exploring Operation: 50/25=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 50/25=2
Current State: 78:[80, 2], Operations: ['91-66=25', '50/25=2']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
29,
32,
76,
83
] | 53 | [
"32-29=3",
"76+83=159",
"159/3=53"
] | Current State: 53:[29, 32, 76, 83], Operations: []
Exploring Operation: 32-29=3, Resulting Numbers: [76, 83, 3]
Generated Node #2: [76, 83, 3] from Operation: 32-29=3
Current State: 53:[76, 83, 3], Operations: ['32-29=3']
Exploring Operation: 76+83=159, Resulting Numbers: [3, 159]
Generated Node #3: [3, 159] from Operation: 76+83=159
Current State: 53:[3, 159], Operations: ['32-29=3', '76+83=159']
Exploring Operation: 159/3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
81,
77,
77,
23
] | 59 | [
"81-23=58",
"77/77=1",
"58+1=59"
] | Current State: 59:[81, 77, 77, 23], Operations: []
Exploring Operation: 81-23=58, Resulting Numbers: [77, 77, 58]
Generated Node #2: [77, 77, 58] from Operation: 81-23=58
Current State: 59:[77, 77, 58], Operations: ['81-23=58']
Exploring Operation: 77/77=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 77/77=1
Current State: 59:[58, 1], Operations: ['81-23=58', '77/77=1']
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
64,
1,
47,
44
] | 61 | [
"64*1=64",
"47-44=3",
"64-3=61"
] | Current State: 61:[64, 1, 47, 44], Operations: []
Exploring Operation: 64*1=64, Resulting Numbers: [47, 44, 64]
Generated Node #2: [47, 44, 64] from Operation: 64*1=64
Current State: 61:[47, 44, 64], Operations: ['64*1=64']
Exploring Operation: 47-44=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 47-44=3
Current State: 61:[64, 3], Operations: ['64*1=64', '47-44=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
85,
2,
8,
99
] | 88 | [
"85-8=77",
"99+77=176",
"176/2=88"
] | Current State: 88:[85, 2, 8, 99], Operations: []
Exploring Operation: 85-8=77, Resulting Numbers: [2, 99, 77]
Generated Node #2: [2, 99, 77] from Operation: 85-8=77
Current State: 88:[2, 99, 77], Operations: ['85-8=77']
Exploring Operation: 99+77=176, Resulting Numbers: [2, 176]
Generated Node #3: [2, 176] from Operation: 99+77=176
Current State: 88:[2, 176], Operations: ['85-8=77', '99+77=176']
Exploring Operation: 176/2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
19,
68,
80,
77
] | 46 | [
"68-19=49",
"80-77=3",
"49-3=46"
] | Current State: 46:[19, 68, 80, 77], Operations: []
Exploring Operation: 68-19=49, Resulting Numbers: [80, 77, 49]
Generated Node #2: [80, 77, 49] from Operation: 68-19=49
Current State: 46:[80, 77, 49], Operations: ['68-19=49']
Exploring Operation: 80-77=3, Resulting Numbers: [49, 3]
Generated Node #3: [49, 3] from Operation: 80-77=3
Current State: 46:[49, 3], Operations: ['68-19=49', '80-77=3']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
68,
2,
98,
10
] | 59 | [
"68+10=78",
"78/2=39",
"98-39=59"
] | Current State: 59:[68, 2, 98, 10], Operations: []
Exploring Operation: 68+10=78, Resulting Numbers: [2, 98, 78]
Generated Node #2: [2, 98, 78] from Operation: 68+10=78
Current State: 59:[2, 98, 78], Operations: ['68+10=78']
Exploring Operation: 78/2=39, Resulting Numbers: [98, 39]
Generated Node #3: [98, 39] from Operation: 78/2=39
Current State: 59:[98, 39], Operations: ['68+10=78', '78/2=39']
Exploring Operation: 98-39=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
78,
32,
26,
91
] | 41 | [
"78/26=3",
"32+91=123",
"123/3=41"
] | Current State: 41:[78, 32, 26, 91], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [32, 91, 3]
Generated Node #2: [32, 91, 3] from Operation: 78/26=3
Current State: 41:[32, 91, 3], Operations: ['78/26=3']
Exploring Operation: 32+91=123, Resulting Numbers: [3, 123]
Generated Node #3: [3, 123] from Operation: 32+91=123
Current State: 41:[3, 123], Operations: ['78/26=3', '32+91=123']
Exploring Operation: 123/3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
30,
77,
54,
27
] | 59 | [
"30-27=3",
"54/3=18",
"77-18=59"
] | Current State: 59:[30, 77, 54, 27], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [77, 54, 3]
Generated Node #2: [77, 54, 3] from Operation: 30-27=3
Current State: 59:[77, 54, 3], Operations: ['30-27=3']
Exploring Operation: 54/3=18, Resulting Numbers: [77, 18]
Generated Node #3: [77, 18] from Operation: 54/3=18
Current State: 59:[77, 18], Operations: ['30-27=3', '54/3=18']
Exploring Operation: 77-18=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
56,
1,
3,
54
] | 35 | [
"56+1=57",
"57/3=19",
"54-19=35"
] | Current State: 35:[56, 1, 3, 54], Operations: []
Exploring Operation: 56+1=57, Resulting Numbers: [3, 54, 57]
Generated Node #2: [3, 54, 57] from Operation: 56+1=57
Current State: 35:[3, 54, 57], Operations: ['56+1=57']
Exploring Operation: 57/3=19, Resulting Numbers: [54, 19]
Generated Node #3: [54, 19] from Operation: 57/3=19
Current State: 35:[54, 19], Operations: ['56+1=57', '57/3=19']
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
15,
75,
54,
35
] | 21 | [
"15+75=90",
"54*35=1890",
"1890/90=21"
] | Current State: 21:[15, 75, 54, 35], Operations: []
Exploring Operation: 15+75=90, Resulting Numbers: [54, 35, 90]
Generated Node #2: [54, 35, 90] from Operation: 15+75=90
Current State: 21:[54, 35, 90], Operations: ['15+75=90']
Exploring Operation: 54*35=1890, Resulting Numbers: [90, 1890]
Generated Node #3: [90, 1890] from Operation: 54*35=1890
Current State: 21:[90, 1890], Operations: ['15+75=90', '54*35=1890']
Exploring Operation: 1890/90=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
82,
2,
78,
12
] | 74 | [
"82*2=164",
"78+12=90",
"164-90=74"
] | Current State: 74:[82, 2, 78, 12], Operations: []
Exploring Operation: 82*2=164, Resulting Numbers: [78, 12, 164]
Generated Node #2: [78, 12, 164] from Operation: 82*2=164
Current State: 74:[78, 12, 164], Operations: ['82*2=164']
Exploring Operation: 78+12=90, Resulting Numbers: [164, 90]
Generated Node #3: [164, 90] from Operation: 78+12=90
Current State: 74:[164, 90], Operations: ['82*2=164', '78+12=90']
Exploring Operation: 164-90=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
83,
53,
12,
57
] | 80 | [
"57-53=4",
"12/4=3",
"83-3=80"
] | Current State: 80:[83, 53, 12, 57], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [83, 12, 4]
Generated Node #2: [83, 12, 4] from Operation: 57-53=4
Current State: 80:[83, 12, 4], Operations: ['57-53=4']
Exploring Operation: 12/4=3, Resulting Numbers: [83, 3]
Generated Node #3: [83, 3] from Operation: 12/4=3
Current State: 80:[83, 3], Operations: ['57-53=4', '12/4=3']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
91,
21,
37,
21
] | 54 | [
"91+21=112",
"37+21=58",
"112-58=54"
] | Current State: 54:[91, 21, 37, 21], Operations: []
Exploring Operation: 91+21=112, Resulting Numbers: [37, 112]
Generated Node #2: [37, 112] from Operation: 91+21=112
Current State: 54:[37, 112], Operations: ['91+21=112']
Exploring Operation: 37+21=58, Resulting Numbers: [112, 58]
Generated Node #3: [112, 58] from Operation: 37+21=58
Current State: 54:[112, 58], Operations: ['91+21=112', '37+21=58']
Exploring Operation: 112-58=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
7,
42,
49,
15
] | 63 | [
"49/7=7",
"15*7=105",
"105-42=63"
] | Current State: 63:[7, 42, 49, 15], Operations: []
Exploring Operation: 49/7=7, Resulting Numbers: [42, 15, 7]
Generated Node #2: [42, 15, 7] from Operation: 49/7=7
Current State: 63:[42, 15, 7], Operations: ['49/7=7']
Exploring Operation: 15*7=105, Resulting Numbers: [42, 105]
Generated Node #3: [42, 105] from Operation: 15*7=105
Current State: 63:[42, 105], Operations: ['49/7=7', '15*7=105']
Exploring Operation: 105-42=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
29,
28,
99,
5
] | 14 | [
"99-29=70",
"70/5=14",
"28-14=14"
] | Current State: 14:[29, 28, 99, 5], Operations: []
Exploring Operation: 99-29=70, Resulting Numbers: [28, 5, 70]
Generated Node #2: [28, 5, 70] from Operation: 99-29=70
Current State: 14:[28, 5, 70], Operations: ['99-29=70']
Exploring Operation: 70/5=14, Resulting Numbers: [28, 14]
Generated Node #3: [28, 14] from Operation: 70/5=14
Current State: 14:[28, 14], Operations: ['99-29=70', '70/5=14']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
65,
55,
13,
25
] | 22 | [
"65-55=10",
"25-13=12",
"10+12=22"
] | Current State: 22:[65, 55, 13, 25], Operations: []
Exploring Operation: 65-55=10, Resulting Numbers: [13, 25, 10]
Generated Node #2: [13, 25, 10] from Operation: 65-55=10
Current State: 22:[13, 25, 10], Operations: ['65-55=10']
Exploring Operation: 25-13=12, Resulting Numbers: [10, 12]
Generated Node #3: [10, 12] from Operation: 25-13=12
Current State: 22:[10, 12], Operations: ['65-55=10', '25-13=12']
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
44,
66,
12,
45
] | 53 | [
"44+66=110",
"12+45=57",
"110-57=53"
] | Current State: 53:[44, 66, 12, 45], Operations: []
Exploring Operation: 44+66=110, Resulting Numbers: [12, 45, 110]
Generated Node #2: [12, 45, 110] from Operation: 44+66=110
Current State: 53:[12, 45, 110], Operations: ['44+66=110']
Exploring Operation: 12+45=57, Resulting Numbers: [110, 57]
Generated Node #3: [110, 57] from Operation: 12+45=57
Current State: 53:[110, 57], Operations: ['44+66=110', '12+45=57']
Exploring Operation: 110-57=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
83,
85,
27,
6
] | 66 | [
"85-83=2",
"27+6=33",
"2*33=66"
] | Current State: 66:[83, 85, 27, 6], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [27, 6, 2]
Generated Node #2: [27, 6, 2] from Operation: 85-83=2
Current State: 66:[27, 6, 2], Operations: ['85-83=2']
Exploring Operation: 27+6=33, Resulting Numbers: [2, 33]
Generated Node #3: [2, 33] from Operation: 27+6=33
Current State: 66:[2, 33], Operations: ['85-83=2', '27+6=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
38,
1,
53,
3
] | 64 | [
"38+1=39",
"3*39=117",
"117-53=64"
] | Current State: 64:[38, 1, 53, 3], Operations: []
Exploring Operation: 38+1=39, Resulting Numbers: [53, 3, 39]
Generated Node #2: [53, 3, 39] from Operation: 38+1=39
Current State: 64:[53, 3, 39], Operations: ['38+1=39']
Exploring Operation: 3*39=117, Resulting Numbers: [53, 117]
Generated Node #3: [53, 117] from Operation: 3*39=117
Current State: 64:[53, 117], Operations: ['38+1=39', '3*39=117']
Exploring Operation: 117-53=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
7,
49,
43,
26
] | 16 | [
"49-43=6",
"7*6=42",
"42-26=16"
] | Current State: 16:[7, 49, 43, 26], Operations: []
Exploring Operation: 49-43=6, Resulting Numbers: [7, 26, 6]
Generated Node #2: [7, 26, 6] from Operation: 49-43=6
Current State: 16:[7, 26, 6], Operations: ['49-43=6']
Exploring Operation: 7*6=42, Resulting Numbers: [26, 42]
Generated Node #3: [26, 42] from Operation: 7*6=42
Current State: 16:[26, 42], Operations: ['49-43=6', '7*6=42']
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
85,
16,
43,
9
] | 72 | [
"85+43=128",
"128/16=8",
"9*8=72"
] | Current State: 72:[85, 16, 43, 9], Operations: []
Exploring Operation: 85+43=128, Resulting Numbers: [16, 9, 128]
Generated Node #2: [16, 9, 128] from Operation: 85+43=128
Current State: 72:[16, 9, 128], Operations: ['85+43=128']
Exploring Operation: 128/16=8, Resulting Numbers: [9, 8]
Generated Node #3: [9, 8] from Operation: 128/16=8
Current State: 72:[9, 8], Operations: ['85+43=128', '128/16=8']
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
56,
77,
62,
23
] | 48 | [
"56+77=133",
"62+23=85",
"133-85=48"
] | Current State: 48:[56, 77, 62, 23], Operations: []
Exploring Operation: 56+77=133, Resulting Numbers: [62, 23, 133]
Generated Node #2: [62, 23, 133] from Operation: 56+77=133
Current State: 48:[62, 23, 133], Operations: ['56+77=133']
Exploring Operation: 62+23=85, Resulting Numbers: [133, 85]
Generated Node #3: [133, 85] from Operation: 62+23=85
Current State: 48:[133, 85], Operations: ['56+77=133', '62+23=85']
Exploring Operation: 133-85=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
3,
10,
23,
3
] | 67 | [
"3*10=30",
"3*30=90",
"90-23=67"
] | Current State: 67:[3, 10, 23, 3], Operations: []
Exploring Operation: 3*10=30, Resulting Numbers: [23, 30]
Generated Node #2: [23, 30] from Operation: 3*10=30
Current State: 67:[23, 30], Operations: ['3*10=30']
Exploring Operation: 3*30=90, Resulting Numbers: [23, 90]
Generated Node #3: [23, 90] from Operation: 3*30=90
Current State: 67:[23, 90], Operations: ['3*10=30', '3*30=90']
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
28,
13,
45,
61
] | 17 | [
"13*61=793",
"793-28=765",
"765/45=17"
] | Current State: 17:[28, 13, 45, 61], Operations: []
Exploring Operation: 13*61=793, Resulting Numbers: [28, 45, 793]
Generated Node #2: [28, 45, 793] from Operation: 13*61=793
Current State: 17:[28, 45, 793], Operations: ['13*61=793']
Exploring Operation: 793-28=765, Resulting Numbers: [45, 765]
Generated Node #3: [45, 765] from Operation: 793-28=765
Current State: 17:[45, 765], Operations: ['13*61=793', '793-28=765']
Exploring Operation: 765/45=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
93,
97,
64,
57
] | 28 | [
"97-93=4",
"64-57=7",
"4*7=28"
] | Current State: 28:[93, 97, 64, 57], Operations: []
Exploring Operation: 97-93=4, Resulting Numbers: [64, 57, 4]
Generated Node #2: [64, 57, 4] from Operation: 97-93=4
Current State: 28:[64, 57, 4], Operations: ['97-93=4']
Exploring Operation: 64-57=7, Resulting Numbers: [4, 7]
Generated Node #3: [4, 7] from Operation: 64-57=7
Current State: 28:[4, 7], Operations: ['97-93=4', '64-57=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
70,
24,
37,
14
] | 23 | [
"70-24=46",
"37-14=23",
"46-23=23"
] | Current State: 23:[70, 24, 37, 14], Operations: []
Exploring Operation: 70-24=46, Resulting Numbers: [37, 14, 46]
Generated Node #2: [37, 14, 46] from Operation: 70-24=46
Current State: 23:[37, 14, 46], Operations: ['70-24=46']
Exploring Operation: 37-14=23, Resulting Numbers: [46, 23]
Generated Node #3: [46, 23] from Operation: 37-14=23
Current State: 23:[46, 23], Operations: ['70-24=46', '37-14=23']
Exploring Operation: 46-23=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
76,
32,
63,
86
] | 85 | [
"76+32=108",
"86-63=23",
"108-23=85"
] | Current State: 85:[76, 32, 63, 86], Operations: []
Exploring Operation: 76+32=108, Resulting Numbers: [63, 86, 108]
Generated Node #2: [63, 86, 108] from Operation: 76+32=108
Current State: 85:[63, 86, 108], Operations: ['76+32=108']
Exploring Operation: 86-63=23, Resulting Numbers: [108, 23]
Generated Node #3: [108, 23] from Operation: 86-63=23
Current State: 85:[108, 23], Operations: ['76+32=108', '86-63=23']
Exploring Operation: 108-23=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
95,
14,
97,
92
] | 76 | [
"95-14=81",
"97-92=5",
"81-5=76"
] | Current State: 76:[95, 14, 97, 92], Operations: []
Exploring Operation: 95-14=81, Resulting Numbers: [97, 92, 81]
Generated Node #2: [97, 92, 81] from Operation: 95-14=81
Current State: 76:[97, 92, 81], Operations: ['95-14=81']
Exploring Operation: 97-92=5, Resulting Numbers: [81, 5]
Generated Node #3: [81, 5] from Operation: 97-92=5
Current State: 76:[81, 5], Operations: ['95-14=81', '97-92=5']
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
60,
9,
68,
93
] | 21 | [
"68-60=8",
"9*8=72",
"93-72=21"
] | Current State: 21:[60, 9, 68, 93], Operations: []
Exploring Operation: 68-60=8, Resulting Numbers: [9, 93, 8]
Generated Node #2: [9, 93, 8] from Operation: 68-60=8
Current State: 21:[9, 93, 8], Operations: ['68-60=8']
Exploring Operation: 9*8=72, Resulting Numbers: [93, 72]
Generated Node #3: [93, 72] from Operation: 9*8=72
Current State: 21:[93, 72], Operations: ['68-60=8', '9*8=72']
Exploring Operation: 93-72=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
59,
44,
20,
13
] | 41 | [
"59-20=39",
"39/13=3",
"44-3=41"
] | Current State: 41:[59, 44, 20, 13], Operations: []
Exploring Operation: 59-20=39, Resulting Numbers: [44, 13, 39]
Generated Node #2: [44, 13, 39] from Operation: 59-20=39
Current State: 41:[44, 13, 39], Operations: ['59-20=39']
Exploring Operation: 39/13=3, Resulting Numbers: [44, 3]
Generated Node #3: [44, 3] from Operation: 39/13=3
Current State: 41:[44, 3], Operations: ['59-20=39', '39/13=3']
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
38,
34,
28,
53
] | 46 | [
"38-34=4",
"28/4=7",
"53-7=46"
] | Current State: 46:[38, 34, 28, 53], Operations: []
Exploring Operation: 38-34=4, Resulting Numbers: [28, 53, 4]
Generated Node #2: [28, 53, 4] from Operation: 38-34=4
Current State: 46:[28, 53, 4], Operations: ['38-34=4']
Exploring Operation: 28/4=7, Resulting Numbers: [53, 7]
Generated Node #3: [53, 7] from Operation: 28/4=7
Current State: 46:[53, 7], Operations: ['38-34=4', '28/4=7']
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
77,
27,
51,
63
] | 63 | [
"77-27=50",
"51-50=1",
"63*1=63"
] | Current State: 63:[77, 27, 51, 63], Operations: []
Exploring Operation: 77-27=50, Resulting Numbers: [51, 63, 50]
Generated Node #2: [51, 63, 50] from Operation: 77-27=50
Current State: 63:[51, 63, 50], Operations: ['77-27=50']
Exploring Operation: 51-50=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 51-50=1
Current State: 63:[63, 1], Operations: ['77-27=50', '51-50=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
84,
86,
76,
41
] | 79 | [
"86-84=2",
"76/2=38",
"41+38=79"
] | Current State: 79:[84, 86, 76, 41], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [76, 41, 2]
Generated Node #2: [76, 41, 2] from Operation: 86-84=2
Current State: 79:[76, 41, 2], Operations: ['86-84=2']
Exploring Operation: 76/2=38, Resulting Numbers: [41, 38]
Generated Node #3: [41, 38] from Operation: 76/2=38
Current State: 79:[41, 38], Operations: ['86-84=2', '76/2=38']
Exploring Operation: 41+38=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
71,
2,
28,
24
] | 79 | [
"28-24=4",
"2*4=8",
"71+8=79"
] | Current State: 79:[71, 2, 28, 24], Operations: []
Exploring Operation: 28-24=4, Resulting Numbers: [71, 2, 4]
Generated Node #2: [71, 2, 4] from Operation: 28-24=4
Current State: 79:[71, 2, 4], Operations: ['28-24=4']
Exploring Operation: 2*4=8, Resulting Numbers: [71, 8]
Generated Node #3: [71, 8] from Operation: 2*4=8
Current State: 79:[71, 8], Operations: ['28-24=4', '2*4=8']
Exploring Operation: 71+8=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
56,
69,
5,
48
] | 40 | [
"69-56=13",
"5+48=53",
"53-13=40"
] | Current State: 40:[56, 69, 5, 48], Operations: []
Exploring Operation: 69-56=13, Resulting Numbers: [5, 48, 13]
Generated Node #2: [5, 48, 13] from Operation: 69-56=13
Current State: 40:[5, 48, 13], Operations: ['69-56=13']
Exploring Operation: 5+48=53, Resulting Numbers: [13, 53]
Generated Node #3: [13, 53] from Operation: 5+48=53
Current State: 40:[13, 53], Operations: ['69-56=13', '5+48=53']
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
24,
27,
15,
68
] | 80 | [
"27-24=3",
"15+68=83",
"83-3=80"
] | Current State: 80:[24, 27, 15, 68], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [15, 68, 3]
Generated Node #2: [15, 68, 3] from Operation: 27-24=3
Current State: 80:[15, 68, 3], Operations: ['27-24=3']
Exploring Operation: 15+68=83, Resulting Numbers: [3, 83]
Generated Node #3: [3, 83] from Operation: 15+68=83
Current State: 80:[3, 83], Operations: ['27-24=3', '15+68=83']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
16,
77,
51,
33
] | 75 | [
"16+77=93",
"51-33=18",
"93-18=75"
] | Current State: 75:[16, 77, 51, 33], Operations: []
Exploring Operation: 16+77=93, Resulting Numbers: [51, 33, 93]
Generated Node #2: [51, 33, 93] from Operation: 16+77=93
Current State: 75:[51, 33, 93], Operations: ['16+77=93']
Exploring Operation: 51-33=18, Resulting Numbers: [93, 18]
Generated Node #3: [93, 18] from Operation: 51-33=18
Current State: 75:[93, 18], Operations: ['16+77=93', '51-33=18']
Exploring Operation: 93-18=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
67,
13,
2,
29
] | 69 | [
"67+13=80",
"80/2=40",
"29+40=69"
] | Current State: 69:[67, 13, 2, 29], Operations: []
Exploring Operation: 67+13=80, Resulting Numbers: [2, 29, 80]
Generated Node #2: [2, 29, 80] from Operation: 67+13=80
Current State: 69:[2, 29, 80], Operations: ['67+13=80']
Exploring Operation: 80/2=40, Resulting Numbers: [29, 40]
Generated Node #3: [29, 40] from Operation: 80/2=40
Current State: 69:[29, 40], Operations: ['67+13=80', '80/2=40']
Exploring Operation: 29+40=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
94,
5,
11,
91
] | 18 | [
"94-91=3",
"11-5=6",
"3*6=18"
] | Current State: 18:[94, 5, 11, 91], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [5, 11, 3]
Generated Node #2: [5, 11, 3] from Operation: 94-91=3
Current State: 18:[5, 11, 3], Operations: ['94-91=3']
Exploring Operation: 11-5=6, Resulting Numbers: [3, 6]
Generated Node #3: [3, 6] from Operation: 11-5=6
Current State: 18:[3, 6], Operations: ['94-91=3', '11-5=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
44,
40,
97,
97
] | 40 | [
"97-97=0",
"44*0=0",
"40+0=40"
] | Current State: 40:[44, 40, 97, 97], Operations: []
Exploring Operation: 97-97=0, Resulting Numbers: [44, 40, 0]
Generated Node #2: [44, 40, 0] from Operation: 97-97=0
Current State: 40:[44, 40, 0], Operations: ['97-97=0']
Exploring Operation: 44*0=0, Resulting Numbers: [40, 0]
Generated Node #3: [40, 0] from Operation: 44*0=0
Current State: 40:[40, 0], Operations: ['97-97=0', '44*0=0']
Exploring Operation: 40+0=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
48,
31,
86,
55
] | 26 | [
"48*55=2640",
"31*86=2666",
"2666-2640=26"
] | Current State: 26:[48, 31, 86, 55], Operations: []
Exploring Operation: 48*55=2640, Resulting Numbers: [31, 86, 2640]
Generated Node #2: [31, 86, 2640] from Operation: 48*55=2640
Current State: 26:[31, 86, 2640], Operations: ['48*55=2640']
Exploring Operation: 31*86=2666, Resulting Numbers: [2640, 2666]
Generated Node #3: [2640, 2666] from Operation: 31*86=2666
Current State: 26:[2640, 2666], Operations: ['48*55=2640', '31*86=2666']
Exploring Operation: 2666-2640=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
33,
58,
2,
68
] | 96 | [
"58+68=126",
"126/2=63",
"33+63=96"
] | Current State: 96:[33, 58, 2, 68], Operations: []
Exploring Operation: 58+68=126, Resulting Numbers: [33, 2, 126]
Generated Node #2: [33, 2, 126] from Operation: 58+68=126
Current State: 96:[33, 2, 126], Operations: ['58+68=126']
Exploring Operation: 126/2=63, Resulting Numbers: [33, 63]
Generated Node #3: [33, 63] from Operation: 126/2=63
Current State: 96:[33, 63], Operations: ['58+68=126', '126/2=63']
Exploring Operation: 33+63=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
79,
62,
8,
98
] | 89 | [
"79-62=17",
"8+98=106",
"106-17=89"
] | Current State: 89:[79, 62, 8, 98], Operations: []
Exploring Operation: 79-62=17, Resulting Numbers: [8, 98, 17]
Generated Node #2: [8, 98, 17] from Operation: 79-62=17
Current State: 89:[8, 98, 17], Operations: ['79-62=17']
Exploring Operation: 8+98=106, Resulting Numbers: [17, 106]
Generated Node #3: [17, 106] from Operation: 8+98=106
Current State: 89:[17, 106], Operations: ['79-62=17', '8+98=106']
Exploring Operation: 106-17=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
2,
42,
11,
48
] | 81 | [
"2+42=44",
"48-11=37",
"44+37=81"
] | Current State: 81:[2, 42, 11, 48], Operations: []
Exploring Operation: 2+42=44, Resulting Numbers: [11, 48, 44]
Generated Node #2: [11, 48, 44] from Operation: 2+42=44
Current State: 81:[11, 48, 44], Operations: ['2+42=44']
Exploring Operation: 48-11=37, Resulting Numbers: [44, 37]
Generated Node #3: [44, 37] from Operation: 48-11=37
Current State: 81:[44, 37], Operations: ['2+42=44', '48-11=37']
Exploring Operation: 44+37=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
82,
41,
6,
49
] | 97 | [
"41+49=90",
"90/6=15",
"82+15=97"
] | Current State: 97:[82, 41, 6, 49], Operations: []
Exploring Operation: 41+49=90, Resulting Numbers: [82, 6, 90]
Generated Node #2: [82, 6, 90] from Operation: 41+49=90
Current State: 97:[82, 6, 90], Operations: ['41+49=90']
Exploring Operation: 90/6=15, Resulting Numbers: [82, 15]
Generated Node #3: [82, 15] from Operation: 90/6=15
Current State: 97:[82, 15], Operations: ['41+49=90', '90/6=15']
Exploring Operation: 82+15=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
72,
57,
89,
99
] | 45 | [
"72*57=4104",
"4104-99=4005",
"4005/89=45"
] | Current State: 45:[72, 57, 89, 99], Operations: []
Exploring Operation: 72*57=4104, Resulting Numbers: [89, 99, 4104]
Generated Node #2: [89, 99, 4104] from Operation: 72*57=4104
Current State: 45:[89, 99, 4104], Operations: ['72*57=4104']
Exploring Operation: 4104-99=4005, Resulting Numbers: [89, 4005]
Generated Node #3: [89, 4005] from Operation: 4104-99=4005
Current State: 45:[89, 4005], Operations: ['72*57=4104', '4104-99=4005']
Exploring Operation: 4005/89=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
21,
32,
1,
16
] | 63 | [
"32/16=2",
"1+2=3",
"21*3=63"
] | Current State: 63:[21, 32, 1, 16], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [21, 1, 2]
Generated Node #2: [21, 1, 2] from Operation: 32/16=2
Current State: 63:[21, 1, 2], Operations: ['32/16=2']
Exploring Operation: 1+2=3, Resulting Numbers: [21, 3]
Generated Node #3: [21, 3] from Operation: 1+2=3
Current State: 63:[21, 3], Operations: ['32/16=2', '1+2=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
13,
14,
3,
8
] | 83 | [
"8-3=5",
"14*5=70",
"13+70=83"
] | Current State: 83:[13, 14, 3, 8], Operations: []
Exploring Operation: 8-3=5, Resulting Numbers: [13, 14, 5]
Generated Node #2: [13, 14, 5] from Operation: 8-3=5
Current State: 83:[13, 14, 5], Operations: ['8-3=5']
Exploring Operation: 14*5=70, Resulting Numbers: [13, 70]
Generated Node #3: [13, 70] from Operation: 14*5=70
Current State: 83:[13, 70], Operations: ['8-3=5', '14*5=70']
Exploring Operation: 13+70=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
87,
76,
7,
56
] | 74 | [
"87-76=11",
"7+56=63",
"11+63=74"
] | Current State: 74:[87, 76, 7, 56], Operations: []
Exploring Operation: 87-76=11, Resulting Numbers: [7, 56, 11]
Generated Node #2: [7, 56, 11] from Operation: 87-76=11
Current State: 74:[7, 56, 11], Operations: ['87-76=11']
Exploring Operation: 7+56=63, Resulting Numbers: [11, 63]
Generated Node #3: [11, 63] from Operation: 7+56=63
Current State: 74:[11, 63], Operations: ['87-76=11', '7+56=63']
Exploring Operation: 11+63=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
82,
49,
38,
55
] | 60 | [
"82-49=33",
"38+55=93",
"93-33=60"
] | Current State: 60:[82, 49, 38, 55], Operations: []
Exploring Operation: 82-49=33, Resulting Numbers: [38, 55, 33]
Generated Node #2: [38, 55, 33] from Operation: 82-49=33
Current State: 60:[38, 55, 33], Operations: ['82-49=33']
Exploring Operation: 38+55=93, Resulting Numbers: [33, 93]
Generated Node #3: [33, 93] from Operation: 38+55=93
Current State: 60:[33, 93], Operations: ['82-49=33', '38+55=93']
Exploring Operation: 93-33=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
43,
29,
37,
38
] | 73 | [
"43+29=72",
"38-37=1",
"72+1=73"
] | Current State: 73:[43, 29, 37, 38], Operations: []
Exploring Operation: 43+29=72, Resulting Numbers: [37, 38, 72]
Generated Node #2: [37, 38, 72] from Operation: 43+29=72
Current State: 73:[37, 38, 72], Operations: ['43+29=72']
Exploring Operation: 38-37=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 38-37=1
Current State: 73:[72, 1], Operations: ['43+29=72', '38-37=1']
Exploring Operation: 72+1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
81,
57,
97,
83
] | 80 | [
"83-81=2",
"97-57=40",
"2*40=80"
] | Current State: 80:[81, 57, 97, 83], Operations: []
Exploring Operation: 83-81=2, Resulting Numbers: [57, 97, 2]
Generated Node #2: [57, 97, 2] from Operation: 83-81=2
Current State: 80:[57, 97, 2], Operations: ['83-81=2']
Exploring Operation: 97-57=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 97-57=40
Current State: 80:[2, 40], Operations: ['83-81=2', '97-57=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
7,
5,
10,
39
] | 59 | [
"7-5=2",
"10*2=20",
"39+20=59"
] | Current State: 59:[7, 5, 10, 39], Operations: []
Exploring Operation: 7-5=2, Resulting Numbers: [10, 39, 2]
Generated Node #2: [10, 39, 2] from Operation: 7-5=2
Current State: 59:[10, 39, 2], Operations: ['7-5=2']
Exploring Operation: 10*2=20, Resulting Numbers: [39, 20]
Generated Node #3: [39, 20] from Operation: 10*2=20
Current State: 59:[39, 20], Operations: ['7-5=2', '10*2=20']
Exploring Operation: 39+20=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
8,
65,
56,
26
] | 87 | [
"65-8=57",
"56-26=30",
"57+30=87"
] | Current State: 87:[8, 65, 56, 26], Operations: []
Exploring Operation: 65-8=57, Resulting Numbers: [56, 26, 57]
Generated Node #2: [56, 26, 57] from Operation: 65-8=57
Current State: 87:[56, 26, 57], Operations: ['65-8=57']
Exploring Operation: 56-26=30, Resulting Numbers: [57, 30]
Generated Node #3: [57, 30] from Operation: 56-26=30
Current State: 87:[57, 30], Operations: ['65-8=57', '56-26=30']
Exploring Operation: 57+30=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
81,
11,
55,
51
] | 23 | [
"81+11=92",
"55-51=4",
"92/4=23"
] | Current State: 23:[81, 11, 55, 51], Operations: []
Exploring Operation: 81+11=92, Resulting Numbers: [55, 51, 92]
Generated Node #2: [55, 51, 92] from Operation: 81+11=92
Current State: 23:[55, 51, 92], Operations: ['81+11=92']
Exploring Operation: 55-51=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 55-51=4
Current State: 23:[92, 4], Operations: ['81+11=92', '55-51=4']
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
2,
32,
57,
69
] | 76 | [
"2*32=64",
"69-57=12",
"64+12=76"
] | Current State: 76:[2, 32, 57, 69], Operations: []
Exploring Operation: 2*32=64, Resulting Numbers: [57, 69, 64]
Generated Node #2: [57, 69, 64] from Operation: 2*32=64
Current State: 76:[57, 69, 64], Operations: ['2*32=64']
Exploring Operation: 69-57=12, Resulting Numbers: [64, 12]
Generated Node #3: [64, 12] from Operation: 69-57=12
Current State: 76:[64, 12], Operations: ['2*32=64', '69-57=12']
Exploring Operation: 64+12=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
22,
30,
25,
90
] | 100 | [
"25-22=3",
"30/3=10",
"90+10=100"
] | Current State: 100:[22, 30, 25, 90], Operations: []
Exploring Operation: 25-22=3, Resulting Numbers: [30, 90, 3]
Generated Node #2: [30, 90, 3] from Operation: 25-22=3
Current State: 100:[30, 90, 3], Operations: ['25-22=3']
Exploring Operation: 30/3=10, Resulting Numbers: [90, 10]
Generated Node #3: [90, 10] from Operation: 30/3=10
Current State: 100:[90, 10], Operations: ['25-22=3', '30/3=10']
Exploring Operation: 90+10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
16,
4,
4,
82
] | 66 | [
"16+4=20",
"4+82=86",
"86-20=66"
] | Current State: 66:[16, 4, 4, 82], Operations: []
Exploring Operation: 16+4=20, Resulting Numbers: [82, 20]
Generated Node #2: [82, 20] from Operation: 16+4=20
Current State: 66:[82, 20], Operations: ['16+4=20']
Exploring Operation: 4+82=86, Resulting Numbers: [20, 86]
Generated Node #3: [20, 86] from Operation: 4+82=86
Current State: 66:[20, 86], Operations: ['16+4=20', '4+82=86']
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
55,
30,
64,
91
] | 70 | [
"55+30=85",
"64+91=155",
"155-85=70"
] | Current State: 70:[55, 30, 64, 91], Operations: []
Exploring Operation: 55+30=85, Resulting Numbers: [64, 91, 85]
Generated Node #2: [64, 91, 85] from Operation: 55+30=85
Current State: 70:[64, 91, 85], Operations: ['55+30=85']
Exploring Operation: 64+91=155, Resulting Numbers: [85, 155]
Generated Node #3: [85, 155] from Operation: 64+91=155
Current State: 70:[85, 155], Operations: ['55+30=85', '64+91=155']
Exploring Operation: 155-85=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
84,
25,
35,
84
] | 35 | [
"84-84=0",
"25*0=0",
"35+0=35"
] | Current State: 35:[84, 25, 35, 84], Operations: []
Exploring Operation: 84-84=0, Resulting Numbers: [25, 35, 0]
Generated Node #2: [25, 35, 0] from Operation: 84-84=0
Current State: 35:[25, 35, 0], Operations: ['84-84=0']
Exploring Operation: 25*0=0, Resulting Numbers: [35, 0]
Generated Node #3: [35, 0] from Operation: 25*0=0
Current State: 35:[35, 0], Operations: ['84-84=0', '25*0=0']
Exploring Operation: 35+0=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
96,
29,
1,
98
] | 26 | [
"96+29=125",
"1+98=99",
"125-99=26"
] | Current State: 26:[96, 29, 1, 98], Operations: []
Exploring Operation: 96+29=125, Resulting Numbers: [1, 98, 125]
Generated Node #2: [1, 98, 125] from Operation: 96+29=125
Current State: 26:[1, 98, 125], Operations: ['96+29=125']
Exploring Operation: 1+98=99, Resulting Numbers: [125, 99]
Generated Node #3: [125, 99] from Operation: 1+98=99
Current State: 26:[125, 99], Operations: ['96+29=125', '1+98=99']
Exploring Operation: 125-99=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
50,
17,
89,
42
] | 91 | [
"42-17=25",
"50/25=2",
"89+2=91"
] | Current State: 91:[50, 17, 89, 42], Operations: []
Exploring Operation: 42-17=25, Resulting Numbers: [50, 89, 25]
Generated Node #2: [50, 89, 25] from Operation: 42-17=25
Current State: 91:[50, 89, 25], Operations: ['42-17=25']
Exploring Operation: 50/25=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 50/25=2
Current State: 91:[89, 2], Operations: ['42-17=25', '50/25=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
51,
3,
63,
75
] | 47 | [
"75-63=12",
"12/3=4",
"51-4=47"
] | Current State: 47:[51, 3, 63, 75], Operations: []
Exploring Operation: 75-63=12, Resulting Numbers: [51, 3, 12]
Generated Node #2: [51, 3, 12] from Operation: 75-63=12
Current State: 47:[51, 3, 12], Operations: ['75-63=12']
Exploring Operation: 12/3=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 12/3=4
Current State: 47:[51, 4], Operations: ['75-63=12', '12/3=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
5,
37,
26,
40
] | 46 | [
"37-5=32",
"40-26=14",
"32+14=46"
] | Current State: 46:[5, 37, 26, 40], Operations: []
Exploring Operation: 37-5=32, Resulting Numbers: [26, 40, 32]
Generated Node #2: [26, 40, 32] from Operation: 37-5=32
Current State: 46:[26, 40, 32], Operations: ['37-5=32']
Exploring Operation: 40-26=14, Resulting Numbers: [32, 14]
Generated Node #3: [32, 14] from Operation: 40-26=14
Current State: 46:[32, 14], Operations: ['37-5=32', '40-26=14']
Exploring Operation: 32+14=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
3,
2,
20,
63
] | 78 | [
"3+2=5",
"20+63=83",
"83-5=78"
] | Current State: 78:[3, 2, 20, 63], Operations: []
Exploring Operation: 3+2=5, Resulting Numbers: [20, 63, 5]
Generated Node #2: [20, 63, 5] from Operation: 3+2=5
Current State: 78:[20, 63, 5], Operations: ['3+2=5']
Exploring Operation: 20+63=83, Resulting Numbers: [5, 83]
Generated Node #3: [5, 83] from Operation: 20+63=83
Current State: 78:[5, 83], Operations: ['3+2=5', '20+63=83']
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
82,
21,
59,
36
] | 23 | [
"82+36=118",
"118/59=2",
"21+2=23"
] | Current State: 23:[82, 21, 59, 36], Operations: []
Exploring Operation: 82+36=118, Resulting Numbers: [21, 59, 118]
Generated Node #2: [21, 59, 118] from Operation: 82+36=118
Current State: 23:[21, 59, 118], Operations: ['82+36=118']
Exploring Operation: 118/59=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 118/59=2
Current State: 23:[21, 2], Operations: ['82+36=118', '118/59=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
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