nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
41,
1,
37,
67
] | 72 | [
"41+1=42",
"67-37=30",
"42+30=72"
] | Current State: 72:[41, 1, 37, 67], Operations: []
Exploring Operation: 41+1=42, Resulting Numbers: [37, 67, 42]
Generated Node #2: [37, 67, 42] from Operation: 41+1=42
Current State: 72:[37, 67, 42], Operations: ['41+1=42']
Exploring Operation: 67-37=30, Resulting Numbers: [42, 30]
Generated Node #3: [42, 30] from Operation: 67-37=30
Current State: 72:[42, 30], Operations: ['41+1=42', '67-37=30']
Exploring Operation: 42+30=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
46,
5,
47,
45
] | 42 | [
"46-45=1",
"47-5=42",
"1*42=42"
] | Current State: 42:[46, 5, 47, 45], Operations: []
Exploring Operation: 46-45=1, Resulting Numbers: [5, 47, 1]
Generated Node #2: [5, 47, 1] from Operation: 46-45=1
Current State: 42:[5, 47, 1], Operations: ['46-45=1']
Exploring Operation: 47-5=42, Resulting Numbers: [1, 42]
Generated Node #3: [1, 42] from Operation: 47-5=42
Current State: 42:[1, 42], Operations: ['46-45=1', '47-5=42']
Exploring Operation: 1*42=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
88,
4,
69,
58
] | 35 | [
"88+4=92",
"69+58=127",
"127-92=35"
] | Current State: 35:[88, 4, 69, 58], Operations: []
Exploring Operation: 88+4=92, Resulting Numbers: [69, 58, 92]
Generated Node #2: [69, 58, 92] from Operation: 88+4=92
Current State: 35:[69, 58, 92], Operations: ['88+4=92']
Exploring Operation: 69+58=127, Resulting Numbers: [92, 127]
Generated Node #3: [92, 127] from Operation: 69+58=127
Current State: 35:[92, 127], Operations: ['88+4=92', '69+58=127']
Exploring Operation: 127-92=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
72,
24,
18,
20
] | 87 | [
"18*20=360",
"360/24=15",
"72+15=87"
] | Current State: 87:[72, 24, 18, 20], Operations: []
Exploring Operation: 18*20=360, Resulting Numbers: [72, 24, 360]
Generated Node #2: [72, 24, 360] from Operation: 18*20=360
Current State: 87:[72, 24, 360], Operations: ['18*20=360']
Exploring Operation: 360/24=15, Resulting Numbers: [72, 15]
Generated Node #3: [72, 15] from Operation: 360/24=15
Current State: 87:[72, 15], Operations: ['18*20=360', '360/24=15']
Exploring Operation: 72+15=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
51,
90,
39,
96
] | 98 | [
"51-39=12",
"96/12=8",
"90+8=98"
] | Current State: 98:[51, 90, 39, 96], Operations: []
Exploring Operation: 51-39=12, Resulting Numbers: [90, 96, 12]
Generated Node #2: [90, 96, 12] from Operation: 51-39=12
Current State: 98:[90, 96, 12], Operations: ['51-39=12']
Exploring Operation: 96/12=8, Resulting Numbers: [90, 8]
Generated Node #3: [90, 8] from Operation: 96/12=8
Current State: 98:[90, 8], Operations: ['51-39=12', '96/12=8']
Exploring Operation: 90+8=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
40,
59,
67,
6
] | 11 | [
"67-59=8",
"40/8=5",
"6+5=11"
] | Current State: 11:[40, 59, 67, 6], Operations: []
Exploring Operation: 67-59=8, Resulting Numbers: [40, 6, 8]
Generated Node #2: [40, 6, 8] from Operation: 67-59=8
Current State: 11:[40, 6, 8], Operations: ['67-59=8']
Exploring Operation: 40/8=5, Resulting Numbers: [6, 5]
Generated Node #3: [6, 5] from Operation: 40/8=5
Current State: 11:[6, 5], Operations: ['67-59=8', '40/8=5']
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
54,
52,
22,
56
] | 47 | [
"54+56=110",
"110/22=5",
"52-5=47"
] | Current State: 47:[54, 52, 22, 56], Operations: []
Exploring Operation: 54+56=110, Resulting Numbers: [52, 22, 110]
Generated Node #2: [52, 22, 110] from Operation: 54+56=110
Current State: 47:[52, 22, 110], Operations: ['54+56=110']
Exploring Operation: 110/22=5, Resulting Numbers: [52, 5]
Generated Node #3: [52, 5] from Operation: 110/22=5
Current State: 47:[52, 5], Operations: ['54+56=110', '110/22=5']
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
1,
44,
63,
83
] | 64 | [
"1*44=44",
"83-63=20",
"44+20=64"
] | Current State: 64:[1, 44, 63, 83], Operations: []
Exploring Operation: 1*44=44, Resulting Numbers: [63, 83, 44]
Generated Node #2: [63, 83, 44] from Operation: 1*44=44
Current State: 64:[63, 83, 44], Operations: ['1*44=44']
Exploring Operation: 83-63=20, Resulting Numbers: [44, 20]
Generated Node #3: [44, 20] from Operation: 83-63=20
Current State: 64:[44, 20], Operations: ['1*44=44', '83-63=20']
Exploring Operation: 44+20=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
37,
4,
22,
19
] | 30 | [
"37-4=33",
"22-19=3",
"33-3=30"
] | Current State: 30:[37, 4, 22, 19], Operations: []
Exploring Operation: 37-4=33, Resulting Numbers: [22, 19, 33]
Generated Node #2: [22, 19, 33] from Operation: 37-4=33
Current State: 30:[22, 19, 33], Operations: ['37-4=33']
Exploring Operation: 22-19=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 22-19=3
Current State: 30:[33, 3], Operations: ['37-4=33', '22-19=3']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
63,
58,
30,
33
] | 37 | [
"33-30=3",
"63/3=21",
"58-21=37"
] | Current State: 37:[63, 58, 30, 33], Operations: []
Exploring Operation: 33-30=3, Resulting Numbers: [63, 58, 3]
Generated Node #2: [63, 58, 3] from Operation: 33-30=3
Current State: 37:[63, 58, 3], Operations: ['33-30=3']
Exploring Operation: 63/3=21, Resulting Numbers: [58, 21]
Generated Node #3: [58, 21] from Operation: 63/3=21
Current State: 37:[58, 21], Operations: ['33-30=3', '63/3=21']
Exploring Operation: 58-21=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
80,
95,
28,
57
] | 44 | [
"95-80=15",
"57-28=29",
"15+29=44"
] | Current State: 44:[80, 95, 28, 57], Operations: []
Exploring Operation: 95-80=15, Resulting Numbers: [28, 57, 15]
Generated Node #2: [28, 57, 15] from Operation: 95-80=15
Current State: 44:[28, 57, 15], Operations: ['95-80=15']
Exploring Operation: 57-28=29, Resulting Numbers: [15, 29]
Generated Node #3: [15, 29] from Operation: 57-28=29
Current State: 44:[15, 29], Operations: ['95-80=15', '57-28=29']
Exploring Operation: 15+29=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
14,
50,
72,
66
] | 74 | [
"14+50=64",
"72+66=138",
"138-64=74"
] | Current State: 74:[14, 50, 72, 66], Operations: []
Exploring Operation: 14+50=64, Resulting Numbers: [72, 66, 64]
Generated Node #2: [72, 66, 64] from Operation: 14+50=64
Current State: 74:[72, 66, 64], Operations: ['14+50=64']
Exploring Operation: 72+66=138, Resulting Numbers: [64, 138]
Generated Node #3: [64, 138] from Operation: 72+66=138
Current State: 74:[64, 138], Operations: ['14+50=64', '72+66=138']
Exploring Operation: 138-64=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
3,
3,
56,
24
] | 99 | [
"56-24=32",
"3*32=96",
"3+96=99"
] | Current State: 99:[3, 3, 56, 24], Operations: []
Exploring Operation: 56-24=32, Resulting Numbers: [3, 3, 32]
Generated Node #2: [3, 3, 32] from Operation: 56-24=32
Current State: 99:[3, 3, 32], Operations: ['56-24=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,99 equal: Goal Reached
Exploring Operation: 3+96=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
46,
62,
53,
2
] | 83 | [
"46*2=92",
"62-53=9",
"92-9=83"
] | Current State: 83:[46, 62, 53, 2], Operations: []
Exploring Operation: 46*2=92, Resulting Numbers: [62, 53, 92]
Generated Node #2: [62, 53, 92] from Operation: 46*2=92
Current State: 83:[62, 53, 92], Operations: ['46*2=92']
Exploring Operation: 62-53=9, Resulting Numbers: [92, 9]
Generated Node #3: [92, 9] from Operation: 62-53=9
Current State: 83:[92, 9], Operations: ['46*2=92', '62-53=9']
Exploring Operation: 92-9=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
33,
89,
7,
36
] | 32 | [
"36-33=3",
"89+7=96",
"96/3=32"
] | Current State: 32:[33, 89, 7, 36], Operations: []
Exploring Operation: 36-33=3, Resulting Numbers: [89, 7, 3]
Generated Node #2: [89, 7, 3] from Operation: 36-33=3
Current State: 32:[89, 7, 3], Operations: ['36-33=3']
Exploring Operation: 89+7=96, Resulting Numbers: [3, 96]
Generated Node #3: [3, 96] from Operation: 89+7=96
Current State: 32:[3, 96], Operations: ['36-33=3', '89+7=96']
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
71,
17,
19,
75
] | 67 | [
"19-17=2",
"71*2=142",
"142-75=67"
] | Current State: 67:[71, 17, 19, 75], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [71, 75, 2]
Generated Node #2: [71, 75, 2] from Operation: 19-17=2
Current State: 67:[71, 75, 2], Operations: ['19-17=2']
Exploring Operation: 71*2=142, Resulting Numbers: [75, 142]
Generated Node #3: [75, 142] from Operation: 71*2=142
Current State: 67:[75, 142], Operations: ['19-17=2', '71*2=142']
Exploring Operation: 142-75=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
15,
99,
12,
31
] | 93 | [
"31-15=16",
"12*16=192",
"192-99=93"
] | Current State: 93:[15, 99, 12, 31], Operations: []
Exploring Operation: 31-15=16, Resulting Numbers: [99, 12, 16]
Generated Node #2: [99, 12, 16] from Operation: 31-15=16
Current State: 93:[99, 12, 16], Operations: ['31-15=16']
Exploring Operation: 12*16=192, Resulting Numbers: [99, 192]
Generated Node #3: [99, 192] from Operation: 12*16=192
Current State: 93:[99, 192], Operations: ['31-15=16', '12*16=192']
Exploring Operation: 192-99=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
33,
33,
2,
92
] | 79 | [
"33+33=66",
"92+66=158",
"158/2=79"
] | Current State: 79:[33, 33, 2, 92], Operations: []
Exploring Operation: 33+33=66, Resulting Numbers: [2, 92, 66]
Generated Node #2: [2, 92, 66] from Operation: 33+33=66
Current State: 79:[2, 92, 66], Operations: ['33+33=66']
Exploring Operation: 92+66=158, Resulting Numbers: [2, 158]
Generated Node #3: [2, 158] from Operation: 92+66=158
Current State: 79:[2, 158], Operations: ['33+33=66', '92+66=158']
Exploring Operation: 158/2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
73,
52,
63,
30
] | 92 | [
"73+52=125",
"63-30=33",
"125-33=92"
] | Current State: 92:[73, 52, 63, 30], Operations: []
Exploring Operation: 73+52=125, Resulting Numbers: [63, 30, 125]
Generated Node #2: [63, 30, 125] from Operation: 73+52=125
Current State: 92:[63, 30, 125], Operations: ['73+52=125']
Exploring Operation: 63-30=33, Resulting Numbers: [125, 33]
Generated Node #3: [125, 33] from Operation: 63-30=33
Current State: 92:[125, 33], Operations: ['73+52=125', '63-30=33']
Exploring Operation: 125-33=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
86,
77,
17,
2
] | 90 | [
"86+77=163",
"17+163=180",
"180/2=90"
] | Current State: 90:[86, 77, 17, 2], Operations: []
Exploring Operation: 86+77=163, Resulting Numbers: [17, 2, 163]
Generated Node #2: [17, 2, 163] from Operation: 86+77=163
Current State: 90:[17, 2, 163], Operations: ['86+77=163']
Exploring Operation: 17+163=180, Resulting Numbers: [2, 180]
Generated Node #3: [2, 180] from Operation: 17+163=180
Current State: 90:[2, 180], Operations: ['86+77=163', '17+163=180']
Exploring Operation: 180/2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
14,
55,
2,
55
] | 41 | [
"14+55=69",
"2*55=110",
"110-69=41"
] | Current State: 41:[14, 55, 2, 55], Operations: []
Exploring Operation: 14+55=69, Resulting Numbers: [2, 69]
Generated Node #2: [2, 69] from Operation: 14+55=69
Current State: 41:[2, 69], Operations: ['14+55=69']
Exploring Operation: 2*55=110, Resulting Numbers: [69, 110]
Generated Node #3: [69, 110] from Operation: 2*55=110
Current State: 41:[69, 110], Operations: ['14+55=69', '2*55=110']
Exploring Operation: 110-69=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
76,
78,
10,
72
] | 67 | [
"78-76=2",
"10/2=5",
"72-5=67"
] | Current State: 67:[76, 78, 10, 72], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [10, 72, 2]
Generated Node #2: [10, 72, 2] from Operation: 78-76=2
Current State: 67:[10, 72, 2], Operations: ['78-76=2']
Exploring Operation: 10/2=5, Resulting Numbers: [72, 5]
Generated Node #3: [72, 5] from Operation: 10/2=5
Current State: 67:[72, 5], Operations: ['78-76=2', '10/2=5']
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
52,
78,
23,
25
] | 22 | [
"78-52=26",
"23+25=48",
"48-26=22"
] | Current State: 22:[52, 78, 23, 25], Operations: []
Exploring Operation: 78-52=26, Resulting Numbers: [23, 25, 26]
Generated Node #2: [23, 25, 26] from Operation: 78-52=26
Current State: 22:[23, 25, 26], Operations: ['78-52=26']
Exploring Operation: 23+25=48, Resulting Numbers: [26, 48]
Generated Node #3: [26, 48] from Operation: 23+25=48
Current State: 22:[26, 48], Operations: ['78-52=26', '23+25=48']
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
36,
87,
55,
38
] | 23 | [
"38-36=2",
"55*2=110",
"110-87=23"
] | Current State: 23:[36, 87, 55, 38], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [87, 55, 2]
Generated Node #2: [87, 55, 2] from Operation: 38-36=2
Current State: 23:[87, 55, 2], Operations: ['38-36=2']
Exploring Operation: 55*2=110, Resulting Numbers: [87, 110]
Generated Node #3: [87, 110] from Operation: 55*2=110
Current State: 23:[87, 110], Operations: ['38-36=2', '55*2=110']
Exploring Operation: 110-87=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
43,
27,
7,
2
] | 18 | [
"43-27=16",
"16-7=9",
"2*9=18"
] | Current State: 18:[43, 27, 7, 2], Operations: []
Exploring Operation: 43-27=16, Resulting Numbers: [7, 2, 16]
Generated Node #2: [7, 2, 16] from Operation: 43-27=16
Current State: 18:[7, 2, 16], Operations: ['43-27=16']
Exploring Operation: 16-7=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 16-7=9
Current State: 18:[2, 9], Operations: ['43-27=16', '16-7=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
88,
67,
36,
48
] | 48 | [
"88*36=3168",
"67*48=3216",
"3216-3168=48"
] | Current State: 48:[88, 67, 36, 48], Operations: []
Exploring Operation: 88*36=3168, Resulting Numbers: [67, 48, 3168]
Generated Node #2: [67, 48, 3168] from Operation: 88*36=3168
Current State: 48:[67, 48, 3168], Operations: ['88*36=3168']
Exploring Operation: 67*48=3216, Resulting Numbers: [3168, 3216]
Generated Node #3: [3168, 3216] from Operation: 67*48=3216
Current State: 48:[3168, 3216], Operations: ['88*36=3168', '67*48=3216']
Exploring Operation: 3216-3168=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
4,
40,
32,
60
] | 63 | [
"32+60=92",
"92/4=23",
"40+23=63"
] | Current State: 63:[4, 40, 32, 60], Operations: []
Exploring Operation: 32+60=92, Resulting Numbers: [4, 40, 92]
Generated Node #2: [4, 40, 92] from Operation: 32+60=92
Current State: 63:[4, 40, 92], Operations: ['32+60=92']
Exploring Operation: 92/4=23, Resulting Numbers: [40, 23]
Generated Node #3: [40, 23] from Operation: 92/4=23
Current State: 63:[40, 23], Operations: ['32+60=92', '92/4=23']
Exploring Operation: 40+23=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
90,
92,
33,
53
] | 18 | [
"92-90=2",
"53-33=20",
"20-2=18"
] | Current State: 18:[90, 92, 33, 53], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [33, 53, 2]
Generated Node #2: [33, 53, 2] from Operation: 92-90=2
Current State: 18:[33, 53, 2], Operations: ['92-90=2']
Exploring Operation: 53-33=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 53-33=20
Current State: 18:[2, 20], Operations: ['92-90=2', '53-33=20']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
36,
2,
45,
41
] | 28 | [
"45-41=4",
"2*4=8",
"36-8=28"
] | Current State: 28:[36, 2, 45, 41], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [36, 2, 4]
Generated Node #2: [36, 2, 4] from Operation: 45-41=4
Current State: 28:[36, 2, 4], Operations: ['45-41=4']
Exploring Operation: 2*4=8, Resulting Numbers: [36, 8]
Generated Node #3: [36, 8] from Operation: 2*4=8
Current State: 28:[36, 8], Operations: ['45-41=4', '2*4=8']
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
88,
36,
98,
8
] | 51 | [
"88/8=11",
"98-36=62",
"62-11=51"
] | Current State: 51:[88, 36, 98, 8], Operations: []
Exploring Operation: 88/8=11, Resulting Numbers: [36, 98, 11]
Generated Node #2: [36, 98, 11] from Operation: 88/8=11
Current State: 51:[36, 98, 11], Operations: ['88/8=11']
Exploring Operation: 98-36=62, Resulting Numbers: [11, 62]
Generated Node #3: [11, 62] from Operation: 98-36=62
Current State: 51:[11, 62], Operations: ['88/8=11', '98-36=62']
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
26,
59,
4,
24
] | 61 | [
"59-26=33",
"4+24=28",
"33+28=61"
] | Current State: 61:[26, 59, 4, 24], Operations: []
Exploring Operation: 59-26=33, Resulting Numbers: [4, 24, 33]
Generated Node #2: [4, 24, 33] from Operation: 59-26=33
Current State: 61:[4, 24, 33], Operations: ['59-26=33']
Exploring Operation: 4+24=28, Resulting Numbers: [33, 28]
Generated Node #3: [33, 28] from Operation: 4+24=28
Current State: 61:[33, 28], Operations: ['59-26=33', '4+24=28']
Exploring Operation: 33+28=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
19,
1,
18,
27
] | 54 | [
"19+1=20",
"20-18=2",
"27*2=54"
] | Current State: 54:[19, 1, 18, 27], Operations: []
Exploring Operation: 19+1=20, Resulting Numbers: [18, 27, 20]
Generated Node #2: [18, 27, 20] from Operation: 19+1=20
Current State: 54:[18, 27, 20], Operations: ['19+1=20']
Exploring Operation: 20-18=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 20-18=2
Current State: 54:[27, 2], Operations: ['19+1=20', '20-18=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
10,
40,
12,
3
] | 58 | [
"10*3=30",
"40-12=28",
"30+28=58"
] | Current State: 58:[10, 40, 12, 3], Operations: []
Exploring Operation: 10*3=30, Resulting Numbers: [40, 12, 30]
Generated Node #2: [40, 12, 30] from Operation: 10*3=30
Current State: 58:[40, 12, 30], Operations: ['10*3=30']
Exploring Operation: 40-12=28, Resulting Numbers: [30, 28]
Generated Node #3: [30, 28] from Operation: 40-12=28
Current State: 58:[30, 28], Operations: ['10*3=30', '40-12=28']
Exploring Operation: 30+28=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
13,
37,
17,
71
] | 15 | [
"71-37=34",
"34/17=2",
"13+2=15"
] | Current State: 15:[13, 37, 17, 71], Operations: []
Exploring Operation: 71-37=34, Resulting Numbers: [13, 17, 34]
Generated Node #2: [13, 17, 34] from Operation: 71-37=34
Current State: 15:[13, 17, 34], Operations: ['71-37=34']
Exploring Operation: 34/17=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 34/17=2
Current State: 15:[13, 2], Operations: ['71-37=34', '34/17=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
11,
91,
3,
95
] | 87 | [
"91-3=88",
"88/11=8",
"95-8=87"
] | Current State: 87:[11, 91, 3, 95], Operations: []
Exploring Operation: 91-3=88, Resulting Numbers: [11, 95, 88]
Generated Node #2: [11, 95, 88] from Operation: 91-3=88
Current State: 87:[11, 95, 88], Operations: ['91-3=88']
Exploring Operation: 88/11=8, Resulting Numbers: [95, 8]
Generated Node #3: [95, 8] from Operation: 88/11=8
Current State: 87:[95, 8], Operations: ['91-3=88', '88/11=8']
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
5,
70,
5,
95
] | 82 | [
"70-5=65",
"65/5=13",
"95-13=82"
] | Current State: 82:[5, 70, 5, 95], Operations: []
Exploring Operation: 70-5=65, Resulting Numbers: [95, 65]
Generated Node #2: [95, 65] from Operation: 70-5=65
Current State: 82:[95, 65], Operations: ['70-5=65']
Exploring Operation: 65/5=13, Resulting Numbers: [95, 13]
Generated Node #3: [95, 13] from Operation: 65/5=13
Current State: 82:[95, 13], Operations: ['70-5=65', '65/5=13']
Exploring Operation: 95-13=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
87,
2,
74,
79
] | 77 | [
"79-74=5",
"2*5=10",
"87-10=77"
] | Current State: 77:[87, 2, 74, 79], Operations: []
Exploring Operation: 79-74=5, Resulting Numbers: [87, 2, 5]
Generated Node #2: [87, 2, 5] from Operation: 79-74=5
Current State: 77:[87, 2, 5], Operations: ['79-74=5']
Exploring Operation: 2*5=10, Resulting Numbers: [87, 10]
Generated Node #3: [87, 10] from Operation: 2*5=10
Current State: 77:[87, 10], Operations: ['79-74=5', '2*5=10']
Exploring Operation: 87-10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
98,
86,
99,
21
] | 65 | [
"99-98=1",
"86-21=65",
"1*65=65"
] | Current State: 65:[98, 86, 99, 21], Operations: []
Exploring Operation: 99-98=1, Resulting Numbers: [86, 21, 1]
Generated Node #2: [86, 21, 1] from Operation: 99-98=1
Current State: 65:[86, 21, 1], Operations: ['99-98=1']
Exploring Operation: 86-21=65, Resulting Numbers: [1, 65]
Generated Node #3: [1, 65] from Operation: 86-21=65
Current State: 65:[1, 65], Operations: ['99-98=1', '86-21=65']
Exploring Operation: 1*65=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
76,
34,
50,
87
] | 73 | [
"76+34=110",
"87-50=37",
"110-37=73"
] | Current State: 73:[76, 34, 50, 87], Operations: []
Exploring Operation: 76+34=110, Resulting Numbers: [50, 87, 110]
Generated Node #2: [50, 87, 110] from Operation: 76+34=110
Current State: 73:[50, 87, 110], Operations: ['76+34=110']
Exploring Operation: 87-50=37, Resulting Numbers: [110, 37]
Generated Node #3: [110, 37] from Operation: 87-50=37
Current State: 73:[110, 37], Operations: ['76+34=110', '87-50=37']
Exploring Operation: 110-37=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
10,
98,
20,
17
] | 36 | [
"10+98=108",
"20-17=3",
"108/3=36"
] | Current State: 36:[10, 98, 20, 17], Operations: []
Exploring Operation: 10+98=108, Resulting Numbers: [20, 17, 108]
Generated Node #2: [20, 17, 108] from Operation: 10+98=108
Current State: 36:[20, 17, 108], Operations: ['10+98=108']
Exploring Operation: 20-17=3, Resulting Numbers: [108, 3]
Generated Node #3: [108, 3] from Operation: 20-17=3
Current State: 36:[108, 3], Operations: ['10+98=108', '20-17=3']
Exploring Operation: 108/3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
17,
49,
60,
40
] | 34 | [
"17+49=66",
"60+40=100",
"100-66=34"
] | Current State: 34:[17, 49, 60, 40], Operations: []
Exploring Operation: 17+49=66, Resulting Numbers: [60, 40, 66]
Generated Node #2: [60, 40, 66] from Operation: 17+49=66
Current State: 34:[60, 40, 66], Operations: ['17+49=66']
Exploring Operation: 60+40=100, Resulting Numbers: [66, 100]
Generated Node #3: [66, 100] from Operation: 60+40=100
Current State: 34:[66, 100], Operations: ['17+49=66', '60+40=100']
Exploring Operation: 100-66=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
87,
77,
82,
3
] | 52 | [
"87-77=10",
"3*10=30",
"82-30=52"
] | Current State: 52:[87, 77, 82, 3], Operations: []
Exploring Operation: 87-77=10, Resulting Numbers: [82, 3, 10]
Generated Node #2: [82, 3, 10] from Operation: 87-77=10
Current State: 52:[82, 3, 10], Operations: ['87-77=10']
Exploring Operation: 3*10=30, Resulting Numbers: [82, 30]
Generated Node #3: [82, 30] from Operation: 3*10=30
Current State: 52:[82, 30], Operations: ['87-77=10', '3*10=30']
Exploring Operation: 82-30=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
27,
20,
36,
65
] | 10 | [
"27+36=63",
"65-63=2",
"20/2=10"
] | Current State: 10:[27, 20, 36, 65], Operations: []
Exploring Operation: 27+36=63, Resulting Numbers: [20, 65, 63]
Generated Node #2: [20, 65, 63] from Operation: 27+36=63
Current State: 10:[20, 65, 63], Operations: ['27+36=63']
Exploring Operation: 65-63=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 65-63=2
Current State: 10:[20, 2], Operations: ['27+36=63', '65-63=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
81,
56,
39,
2
] | 100 | [
"81+56=137",
"39-2=37",
"137-37=100"
] | Current State: 100:[81, 56, 39, 2], Operations: []
Exploring Operation: 81+56=137, Resulting Numbers: [39, 2, 137]
Generated Node #2: [39, 2, 137] from Operation: 81+56=137
Current State: 100:[39, 2, 137], Operations: ['81+56=137']
Exploring Operation: 39-2=37, Resulting Numbers: [137, 37]
Generated Node #3: [137, 37] from Operation: 39-2=37
Current State: 100:[137, 37], Operations: ['81+56=137', '39-2=37']
Exploring Operation: 137-37=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
14,
31,
13,
29
] | 40 | [
"31-29=2",
"13*2=26",
"14+26=40"
] | Current State: 40:[14, 31, 13, 29], Operations: []
Exploring Operation: 31-29=2, Resulting Numbers: [14, 13, 2]
Generated Node #2: [14, 13, 2] from Operation: 31-29=2
Current State: 40:[14, 13, 2], Operations: ['31-29=2']
Exploring Operation: 13*2=26, Resulting Numbers: [14, 26]
Generated Node #3: [14, 26] from Operation: 13*2=26
Current State: 40:[14, 26], Operations: ['31-29=2', '13*2=26']
Exploring Operation: 14+26=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
15,
34,
50,
35
] | 35 | [
"15+34=49",
"50-49=1",
"35*1=35"
] | Current State: 35:[15, 34, 50, 35], Operations: []
Exploring Operation: 15+34=49, Resulting Numbers: [50, 35, 49]
Generated Node #2: [50, 35, 49] from Operation: 15+34=49
Current State: 35:[50, 35, 49], Operations: ['15+34=49']
Exploring Operation: 50-49=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 50-49=1
Current State: 35:[35, 1], Operations: ['15+34=49', '50-49=1']
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
10,
1,
39,
1
] | 30 | [
"10*1=10",
"39+1=40",
"40-10=30"
] | Current State: 30:[10, 1, 39, 1], Operations: []
Exploring Operation: 10*1=10, Resulting Numbers: [39, 10]
Generated Node #2: [39, 10] from Operation: 10*1=10
Current State: 30:[39, 10], Operations: ['10*1=10']
Exploring Operation: 39+1=40, Resulting Numbers: [10, 40]
Generated Node #3: [10, 40] from Operation: 39+1=40
Current State: 30:[10, 40], Operations: ['10*1=10', '39+1=40']
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
4,
19,
9,
51
] | 57 | [
"19-4=15",
"51-9=42",
"15+42=57"
] | Current State: 57:[4, 19, 9, 51], Operations: []
Exploring Operation: 19-4=15, Resulting Numbers: [9, 51, 15]
Generated Node #2: [9, 51, 15] from Operation: 19-4=15
Current State: 57:[9, 51, 15], Operations: ['19-4=15']
Exploring Operation: 51-9=42, Resulting Numbers: [15, 42]
Generated Node #3: [15, 42] from Operation: 51-9=42
Current State: 57:[15, 42], Operations: ['19-4=15', '51-9=42']
Exploring Operation: 15+42=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
95,
68,
24,
79
] | 28 | [
"95-68=27",
"79-24=55",
"55-27=28"
] | Current State: 28:[95, 68, 24, 79], Operations: []
Exploring Operation: 95-68=27, Resulting Numbers: [24, 79, 27]
Generated Node #2: [24, 79, 27] from Operation: 95-68=27
Current State: 28:[24, 79, 27], Operations: ['95-68=27']
Exploring Operation: 79-24=55, Resulting Numbers: [27, 55]
Generated Node #3: [27, 55] from Operation: 79-24=55
Current State: 28:[27, 55], Operations: ['95-68=27', '79-24=55']
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
36,
33,
78,
49
] | 87 | [
"36-33=3",
"78-49=29",
"3*29=87"
] | Current State: 87:[36, 33, 78, 49], Operations: []
Exploring Operation: 36-33=3, Resulting Numbers: [78, 49, 3]
Generated Node #2: [78, 49, 3] from Operation: 36-33=3
Current State: 87:[78, 49, 3], Operations: ['36-33=3']
Exploring Operation: 78-49=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 78-49=29
Current State: 87:[3, 29], Operations: ['36-33=3', '78-49=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
21,
25,
28,
80
] | 27 | [
"25-21=4",
"28+80=108",
"108/4=27"
] | Current State: 27:[21, 25, 28, 80], Operations: []
Exploring Operation: 25-21=4, Resulting Numbers: [28, 80, 4]
Generated Node #2: [28, 80, 4] from Operation: 25-21=4
Current State: 27:[28, 80, 4], Operations: ['25-21=4']
Exploring Operation: 28+80=108, Resulting Numbers: [4, 108]
Generated Node #3: [4, 108] from Operation: 28+80=108
Current State: 27:[4, 108], Operations: ['25-21=4', '28+80=108']
Exploring Operation: 108/4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
56,
86,
37,
48
] | 57 | [
"56+86=142",
"37+48=85",
"142-85=57"
] | Current State: 57:[56, 86, 37, 48], Operations: []
Exploring Operation: 56+86=142, Resulting Numbers: [37, 48, 142]
Generated Node #2: [37, 48, 142] from Operation: 56+86=142
Current State: 57:[37, 48, 142], Operations: ['56+86=142']
Exploring Operation: 37+48=85, Resulting Numbers: [142, 85]
Generated Node #3: [142, 85] from Operation: 37+48=85
Current State: 57:[142, 85], Operations: ['56+86=142', '37+48=85']
Exploring Operation: 142-85=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
88,
64,
32,
86
] | 98 | [
"88+64=152",
"86-32=54",
"152-54=98"
] | Current State: 98:[88, 64, 32, 86], Operations: []
Exploring Operation: 88+64=152, Resulting Numbers: [32, 86, 152]
Generated Node #2: [32, 86, 152] from Operation: 88+64=152
Current State: 98:[32, 86, 152], Operations: ['88+64=152']
Exploring Operation: 86-32=54, Resulting Numbers: [152, 54]
Generated Node #3: [152, 54] from Operation: 86-32=54
Current State: 98:[152, 54], Operations: ['88+64=152', '86-32=54']
Exploring Operation: 152-54=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
37,
42,
57,
21
] | 83 | [
"42-37=5",
"57+21=78",
"5+78=83"
] | Current State: 83:[37, 42, 57, 21], Operations: []
Exploring Operation: 42-37=5, Resulting Numbers: [57, 21, 5]
Generated Node #2: [57, 21, 5] from Operation: 42-37=5
Current State: 83:[57, 21, 5], Operations: ['42-37=5']
Exploring Operation: 57+21=78, Resulting Numbers: [5, 78]
Generated Node #3: [5, 78] from Operation: 57+21=78
Current State: 83:[5, 78], Operations: ['42-37=5', '57+21=78']
Exploring Operation: 5+78=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
95,
42,
3,
18
] | 32 | [
"95-42=53",
"3+18=21",
"53-21=32"
] | Current State: 32:[95, 42, 3, 18], Operations: []
Exploring Operation: 95-42=53, Resulting Numbers: [3, 18, 53]
Generated Node #2: [3, 18, 53] from Operation: 95-42=53
Current State: 32:[3, 18, 53], Operations: ['95-42=53']
Exploring Operation: 3+18=21, Resulting Numbers: [53, 21]
Generated Node #3: [53, 21] from Operation: 3+18=21
Current State: 32:[53, 21], Operations: ['95-42=53', '3+18=21']
Exploring Operation: 53-21=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
53,
73,
26,
4
] | 21 | [
"73-53=20",
"20/4=5",
"26-5=21"
] | Current State: 21:[53, 73, 26, 4], Operations: []
Exploring Operation: 73-53=20, Resulting Numbers: [26, 4, 20]
Generated Node #2: [26, 4, 20] from Operation: 73-53=20
Current State: 21:[26, 4, 20], Operations: ['73-53=20']
Exploring Operation: 20/4=5, Resulting Numbers: [26, 5]
Generated Node #3: [26, 5] from Operation: 20/4=5
Current State: 21:[26, 5], Operations: ['73-53=20', '20/4=5']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
78,
25,
50,
75
] | 22 | [
"78+25=103",
"50+75=125",
"125-103=22"
] | Current State: 22:[78, 25, 50, 75], Operations: []
Exploring Operation: 78+25=103, Resulting Numbers: [50, 75, 103]
Generated Node #2: [50, 75, 103] from Operation: 78+25=103
Current State: 22:[50, 75, 103], Operations: ['78+25=103']
Exploring Operation: 50+75=125, Resulting Numbers: [103, 125]
Generated Node #3: [103, 125] from Operation: 50+75=125
Current State: 22:[103, 125], Operations: ['78+25=103', '50+75=125']
Exploring Operation: 125-103=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
1,
34,
18,
36
] | 87 | [
"34-1=33",
"18+36=54",
"33+54=87"
] | Current State: 87:[1, 34, 18, 36], Operations: []
Exploring Operation: 34-1=33, Resulting Numbers: [18, 36, 33]
Generated Node #2: [18, 36, 33] from Operation: 34-1=33
Current State: 87:[18, 36, 33], Operations: ['34-1=33']
Exploring Operation: 18+36=54, Resulting Numbers: [33, 54]
Generated Node #3: [33, 54] from Operation: 18+36=54
Current State: 87:[33, 54], Operations: ['34-1=33', '18+36=54']
Exploring Operation: 33+54=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
12,
28,
57,
47
] | 36 | [
"12*57=684",
"47-28=19",
"684/19=36"
] | Current State: 36:[12, 28, 57, 47], Operations: []
Exploring Operation: 12*57=684, Resulting Numbers: [28, 47, 684]
Generated Node #2: [28, 47, 684] from Operation: 12*57=684
Current State: 36:[28, 47, 684], Operations: ['12*57=684']
Exploring Operation: 47-28=19, Resulting Numbers: [684, 19]
Generated Node #3: [684, 19] from Operation: 47-28=19
Current State: 36:[684, 19], Operations: ['12*57=684', '47-28=19']
Exploring Operation: 684/19=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
54,
46,
52,
60
] | 32 | [
"54-52=2",
"46*2=92",
"92-60=32"
] | Current State: 32:[54, 46, 52, 60], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [46, 60, 2]
Generated Node #2: [46, 60, 2] from Operation: 54-52=2
Current State: 32:[46, 60, 2], Operations: ['54-52=2']
Exploring Operation: 46*2=92, Resulting Numbers: [60, 92]
Generated Node #3: [60, 92] from Operation: 46*2=92
Current State: 32:[60, 92], Operations: ['54-52=2', '46*2=92']
Exploring Operation: 92-60=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
46,
92,
14,
24
] | 97 | [
"46+24=70",
"70/14=5",
"92+5=97"
] | Current State: 97:[46, 92, 14, 24], Operations: []
Exploring Operation: 46+24=70, Resulting Numbers: [92, 14, 70]
Generated Node #2: [92, 14, 70] from Operation: 46+24=70
Current State: 97:[92, 14, 70], Operations: ['46+24=70']
Exploring Operation: 70/14=5, Resulting Numbers: [92, 5]
Generated Node #3: [92, 5] from Operation: 70/14=5
Current State: 97:[92, 5], Operations: ['46+24=70', '70/14=5']
Exploring Operation: 92+5=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
29,
50,
56,
49
] | 86 | [
"29+50=79",
"56-49=7",
"79+7=86"
] | Current State: 86:[29, 50, 56, 49], Operations: []
Exploring Operation: 29+50=79, Resulting Numbers: [56, 49, 79]
Generated Node #2: [56, 49, 79] from Operation: 29+50=79
Current State: 86:[56, 49, 79], Operations: ['29+50=79']
Exploring Operation: 56-49=7, Resulting Numbers: [79, 7]
Generated Node #3: [79, 7] from Operation: 56-49=7
Current State: 86:[79, 7], Operations: ['29+50=79', '56-49=7']
Exploring Operation: 79+7=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
76,
18,
81,
99
] | 75 | [
"18+81=99",
"99/99=1",
"76-1=75"
] | Current State: 75:[76, 18, 81, 99], Operations: []
Exploring Operation: 18+81=99, Resulting Numbers: [76, 99, 99]
Generated Node #2: [76, 99, 99] from Operation: 18+81=99
Current State: 75:[76, 99, 99], Operations: ['18+81=99']
Exploring Operation: 99/99=1, Resulting Numbers: [76, 1]
Generated Node #3: [76, 1] from Operation: 99/99=1
Current State: 75:[76, 1], Operations: ['18+81=99', '99/99=1']
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
52,
84,
36,
53
] | 49 | [
"84-52=32",
"53-36=17",
"32+17=49"
] | Current State: 49:[52, 84, 36, 53], Operations: []
Exploring Operation: 84-52=32, Resulting Numbers: [36, 53, 32]
Generated Node #2: [36, 53, 32] from Operation: 84-52=32
Current State: 49:[36, 53, 32], Operations: ['84-52=32']
Exploring Operation: 53-36=17, Resulting Numbers: [32, 17]
Generated Node #3: [32, 17] from Operation: 53-36=17
Current State: 49:[32, 17], Operations: ['84-52=32', '53-36=17']
Exploring Operation: 32+17=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
20,
43,
16,
86
] | 34 | [
"20+16=36",
"86/43=2",
"36-2=34"
] | Current State: 34:[20, 43, 16, 86], Operations: []
Exploring Operation: 20+16=36, Resulting Numbers: [43, 86, 36]
Generated Node #2: [43, 86, 36] from Operation: 20+16=36
Current State: 34:[43, 86, 36], Operations: ['20+16=36']
Exploring Operation: 86/43=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 86/43=2
Current State: 34:[36, 2], Operations: ['20+16=36', '86/43=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
76,
23,
59,
22
] | 16 | [
"76-23=53",
"59-22=37",
"53-37=16"
] | Current State: 16:[76, 23, 59, 22], Operations: []
Exploring Operation: 76-23=53, Resulting Numbers: [59, 22, 53]
Generated Node #2: [59, 22, 53] from Operation: 76-23=53
Current State: 16:[59, 22, 53], Operations: ['76-23=53']
Exploring Operation: 59-22=37, Resulting Numbers: [53, 37]
Generated Node #3: [53, 37] from Operation: 59-22=37
Current State: 16:[53, 37], Operations: ['76-23=53', '59-22=37']
Exploring Operation: 53-37=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
76,
30,
42,
48
] | 40 | [
"76-30=46",
"48-42=6",
"46-6=40"
] | Current State: 40:[76, 30, 42, 48], Operations: []
Exploring Operation: 76-30=46, Resulting Numbers: [42, 48, 46]
Generated Node #2: [42, 48, 46] from Operation: 76-30=46
Current State: 40:[42, 48, 46], Operations: ['76-30=46']
Exploring Operation: 48-42=6, Resulting Numbers: [46, 6]
Generated Node #3: [46, 6] from Operation: 48-42=6
Current State: 40:[46, 6], Operations: ['76-30=46', '48-42=6']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
74,
68,
95,
10
] | 37 | [
"74+68=142",
"95+10=105",
"142-105=37"
] | Current State: 37:[74, 68, 95, 10], Operations: []
Exploring Operation: 74+68=142, Resulting Numbers: [95, 10, 142]
Generated Node #2: [95, 10, 142] from Operation: 74+68=142
Current State: 37:[95, 10, 142], Operations: ['74+68=142']
Exploring Operation: 95+10=105, Resulting Numbers: [142, 105]
Generated Node #3: [142, 105] from Operation: 95+10=105
Current State: 37:[142, 105], Operations: ['74+68=142', '95+10=105']
Exploring Operation: 142-105=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
73,
59,
21,
44
] | 66 | [
"73-59=14",
"21*44=924",
"924/14=66"
] | Current State: 66:[73, 59, 21, 44], Operations: []
Exploring Operation: 73-59=14, Resulting Numbers: [21, 44, 14]
Generated Node #2: [21, 44, 14] from Operation: 73-59=14
Current State: 66:[21, 44, 14], Operations: ['73-59=14']
Exploring Operation: 21*44=924, Resulting Numbers: [14, 924]
Generated Node #3: [14, 924] from Operation: 21*44=924
Current State: 66:[14, 924], Operations: ['73-59=14', '21*44=924']
Exploring Operation: 924/14=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
14,
93,
5,
2
] | 72 | [
"93-14=79",
"5+2=7",
"79-7=72"
] | Current State: 72:[14, 93, 5, 2], Operations: []
Exploring Operation: 93-14=79, Resulting Numbers: [5, 2, 79]
Generated Node #2: [5, 2, 79] from Operation: 93-14=79
Current State: 72:[5, 2, 79], Operations: ['93-14=79']
Exploring Operation: 5+2=7, Resulting Numbers: [79, 7]
Generated Node #3: [79, 7] from Operation: 5+2=7
Current State: 72:[79, 7], Operations: ['93-14=79', '5+2=7']
Exploring Operation: 79-7=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
45,
24,
40,
27
] | 80 | [
"45*24=1080",
"1080/27=40",
"40+40=80"
] | Current State: 80:[45, 24, 40, 27], Operations: []
Exploring Operation: 45*24=1080, Resulting Numbers: [40, 27, 1080]
Generated Node #2: [40, 27, 1080] from Operation: 45*24=1080
Current State: 80:[40, 27, 1080], Operations: ['45*24=1080']
Exploring Operation: 1080/27=40, Resulting Numbers: [40, 40]
Generated Node #3: [40, 40] from Operation: 1080/27=40
Current State: 80:[40, 40], Operations: ['45*24=1080', '1080/27=40']
Exploring Operation: 40+40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
50,
8,
6,
23
] | 80 | [
"50+8=58",
"6*23=138",
"138-58=80"
] | Current State: 80:[50, 8, 6, 23], Operations: []
Exploring Operation: 50+8=58, Resulting Numbers: [6, 23, 58]
Generated Node #2: [6, 23, 58] from Operation: 50+8=58
Current State: 80:[6, 23, 58], Operations: ['50+8=58']
Exploring Operation: 6*23=138, Resulting Numbers: [58, 138]
Generated Node #3: [58, 138] from Operation: 6*23=138
Current State: 80:[58, 138], Operations: ['50+8=58', '6*23=138']
Exploring Operation: 138-58=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
64,
18,
26,
45
] | 53 | [
"26-18=8",
"64/8=8",
"45+8=53"
] | Current State: 53:[64, 18, 26, 45], Operations: []
Exploring Operation: 26-18=8, Resulting Numbers: [64, 45, 8]
Generated Node #2: [64, 45, 8] from Operation: 26-18=8
Current State: 53:[64, 45, 8], Operations: ['26-18=8']
Exploring Operation: 64/8=8, Resulting Numbers: [45, 8]
Generated Node #3: [45, 8] from Operation: 64/8=8
Current State: 53:[45, 8], Operations: ['26-18=8', '64/8=8']
Exploring Operation: 45+8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
28,
11,
22,
99
] | 25 | [
"11+22=33",
"99/33=3",
"28-3=25"
] | Current State: 25:[28, 11, 22, 99], Operations: []
Exploring Operation: 11+22=33, Resulting Numbers: [28, 99, 33]
Generated Node #2: [28, 99, 33] from Operation: 11+22=33
Current State: 25:[28, 99, 33], Operations: ['11+22=33']
Exploring Operation: 99/33=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 99/33=3
Current State: 25:[28, 3], Operations: ['11+22=33', '99/33=3']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
17,
6,
4,
23
] | 67 | [
"17-6=11",
"4*11=44",
"23+44=67"
] | Current State: 67:[17, 6, 4, 23], Operations: []
Exploring Operation: 17-6=11, Resulting Numbers: [4, 23, 11]
Generated Node #2: [4, 23, 11] from Operation: 17-6=11
Current State: 67:[4, 23, 11], Operations: ['17-6=11']
Exploring Operation: 4*11=44, Resulting Numbers: [23, 44]
Generated Node #3: [23, 44] from Operation: 4*11=44
Current State: 67:[23, 44], Operations: ['17-6=11', '4*11=44']
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
20,
29,
25,
74
] | 79 | [
"29-25=4",
"20/4=5",
"74+5=79"
] | Current State: 79:[20, 29, 25, 74], Operations: []
Exploring Operation: 29-25=4, Resulting Numbers: [20, 74, 4]
Generated Node #2: [20, 74, 4] from Operation: 29-25=4
Current State: 79:[20, 74, 4], Operations: ['29-25=4']
Exploring Operation: 20/4=5, Resulting Numbers: [74, 5]
Generated Node #3: [74, 5] from Operation: 20/4=5
Current State: 79:[74, 5], Operations: ['29-25=4', '20/4=5']
Exploring Operation: 74+5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
75,
30,
71,
2
] | 88 | [
"75+30=105",
"71+105=176",
"176/2=88"
] | Current State: 88:[75, 30, 71, 2], Operations: []
Exploring Operation: 75+30=105, Resulting Numbers: [71, 2, 105]
Generated Node #2: [71, 2, 105] from Operation: 75+30=105
Current State: 88:[71, 2, 105], Operations: ['75+30=105']
Exploring Operation: 71+105=176, Resulting Numbers: [2, 176]
Generated Node #3: [2, 176] from Operation: 71+105=176
Current State: 88:[2, 176], Operations: ['75+30=105', '71+105=176']
Exploring Operation: 176/2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
3,
71,
10,
49
] | 66 | [
"3*49=147",
"71+10=81",
"147-81=66"
] | Current State: 66:[3, 71, 10, 49], Operations: []
Exploring Operation: 3*49=147, Resulting Numbers: [71, 10, 147]
Generated Node #2: [71, 10, 147] from Operation: 3*49=147
Current State: 66:[71, 10, 147], Operations: ['3*49=147']
Exploring Operation: 71+10=81, Resulting Numbers: [147, 81]
Generated Node #3: [147, 81] from Operation: 71+10=81
Current State: 66:[147, 81], Operations: ['3*49=147', '71+10=81']
Exploring Operation: 147-81=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
42,
72,
23,
55
] | 82 | [
"42+72=114",
"55-23=32",
"114-32=82"
] | Current State: 82:[42, 72, 23, 55], Operations: []
Exploring Operation: 42+72=114, Resulting Numbers: [23, 55, 114]
Generated Node #2: [23, 55, 114] from Operation: 42+72=114
Current State: 82:[23, 55, 114], Operations: ['42+72=114']
Exploring Operation: 55-23=32, Resulting Numbers: [114, 32]
Generated Node #3: [114, 32] from Operation: 55-23=32
Current State: 82:[114, 32], Operations: ['42+72=114', '55-23=32']
Exploring Operation: 114-32=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
18,
93,
56,
66
] | 11 | [
"18+93=111",
"56+66=122",
"122-111=11"
] | Current State: 11:[18, 93, 56, 66], Operations: []
Exploring Operation: 18+93=111, Resulting Numbers: [56, 66, 111]
Generated Node #2: [56, 66, 111] from Operation: 18+93=111
Current State: 11:[56, 66, 111], Operations: ['18+93=111']
Exploring Operation: 56+66=122, Resulting Numbers: [111, 122]
Generated Node #3: [111, 122] from Operation: 56+66=122
Current State: 11:[111, 122], Operations: ['18+93=111', '56+66=122']
Exploring Operation: 122-111=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
55,
60,
38,
37
] | 70 | [
"60-55=5",
"38+37=75",
"75-5=70"
] | Current State: 70:[55, 60, 38, 37], Operations: []
Exploring Operation: 60-55=5, Resulting Numbers: [38, 37, 5]
Generated Node #2: [38, 37, 5] from Operation: 60-55=5
Current State: 70:[38, 37, 5], Operations: ['60-55=5']
Exploring Operation: 38+37=75, Resulting Numbers: [5, 75]
Generated Node #3: [5, 75] from Operation: 38+37=75
Current State: 70:[5, 75], Operations: ['60-55=5', '38+37=75']
Exploring Operation: 75-5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
21,
72,
16,
20
] | 23 | [
"16+20=36",
"72/36=2",
"21+2=23"
] | Current State: 23:[21, 72, 16, 20], Operations: []
Exploring Operation: 16+20=36, Resulting Numbers: [21, 72, 36]
Generated Node #2: [21, 72, 36] from Operation: 16+20=36
Current State: 23:[21, 72, 36], Operations: ['16+20=36']
Exploring Operation: 72/36=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 72/36=2
Current State: 23:[21, 2], Operations: ['16+20=36', '72/36=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
97,
5,
55,
54
] | 93 | [
"97-5=92",
"55-54=1",
"92+1=93"
] | Current State: 93:[97, 5, 55, 54], Operations: []
Exploring Operation: 97-5=92, Resulting Numbers: [55, 54, 92]
Generated Node #2: [55, 54, 92] from Operation: 97-5=92
Current State: 93:[55, 54, 92], Operations: ['97-5=92']
Exploring Operation: 55-54=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 55-54=1
Current State: 93:[92, 1], Operations: ['97-5=92', '55-54=1']
Exploring Operation: 92+1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
86,
57,
3,
7
] | 19 | [
"86-57=29",
"3+7=10",
"29-10=19"
] | Current State: 19:[86, 57, 3, 7], Operations: []
Exploring Operation: 86-57=29, Resulting Numbers: [3, 7, 29]
Generated Node #2: [3, 7, 29] from Operation: 86-57=29
Current State: 19:[3, 7, 29], Operations: ['86-57=29']
Exploring Operation: 3+7=10, Resulting Numbers: [29, 10]
Generated Node #3: [29, 10] from Operation: 3+7=10
Current State: 19:[29, 10], Operations: ['86-57=29', '3+7=10']
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
54,
71,
3,
62
] | 42 | [
"71-54=17",
"62-3=59",
"59-17=42"
] | Current State: 42:[54, 71, 3, 62], Operations: []
Exploring Operation: 71-54=17, Resulting Numbers: [3, 62, 17]
Generated Node #2: [3, 62, 17] from Operation: 71-54=17
Current State: 42:[3, 62, 17], Operations: ['71-54=17']
Exploring Operation: 62-3=59, Resulting Numbers: [17, 59]
Generated Node #3: [17, 59] from Operation: 62-3=59
Current State: 42:[17, 59], Operations: ['71-54=17', '62-3=59']
Exploring Operation: 59-17=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
42,
70,
8,
42
] | 70 | [
"42-42=0",
"8*0=0",
"70+0=70"
] | Current State: 70:[42, 70, 8, 42], Operations: []
Exploring Operation: 42-42=0, Resulting Numbers: [70, 8, 0]
Generated Node #2: [70, 8, 0] from Operation: 42-42=0
Current State: 70:[70, 8, 0], Operations: ['42-42=0']
Exploring Operation: 8*0=0, Resulting Numbers: [70, 0]
Generated Node #3: [70, 0] from Operation: 8*0=0
Current State: 70:[70, 0], Operations: ['42-42=0', '8*0=0']
Exploring Operation: 70+0=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
59,
71,
2,
10
] | 24 | [
"71-59=12",
"2+10=12",
"12+12=24"
] | Current State: 24:[59, 71, 2, 10], Operations: []
Exploring Operation: 71-59=12, Resulting Numbers: [2, 10, 12]
Generated Node #2: [2, 10, 12] from Operation: 71-59=12
Current State: 24:[2, 10, 12], Operations: ['71-59=12']
Exploring Operation: 2+10=12, Resulting Numbers: [12, 12]
Generated Node #3: [12, 12] from Operation: 2+10=12
Current State: 24:[12, 12], Operations: ['71-59=12', '2+10=12']
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
10,
98,
72,
64
] | 18 | [
"72-64=8",
"10*8=80",
"98-80=18"
] | Current State: 18:[10, 98, 72, 64], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [10, 98, 8]
Generated Node #2: [10, 98, 8] from Operation: 72-64=8
Current State: 18:[10, 98, 8], Operations: ['72-64=8']
Exploring Operation: 10*8=80, Resulting Numbers: [98, 80]
Generated Node #3: [98, 80] from Operation: 10*8=80
Current State: 18:[98, 80], Operations: ['72-64=8', '10*8=80']
Exploring Operation: 98-80=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
53,
17,
96,
15
] | 92 | [
"53+15=68",
"68/17=4",
"96-4=92"
] | Current State: 92:[53, 17, 96, 15], Operations: []
Exploring Operation: 53+15=68, Resulting Numbers: [17, 96, 68]
Generated Node #2: [17, 96, 68] from Operation: 53+15=68
Current State: 92:[17, 96, 68], Operations: ['53+15=68']
Exploring Operation: 68/17=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 68/17=4
Current State: 92:[96, 4], Operations: ['53+15=68', '68/17=4']
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
29,
3,
92,
26
] | 98 | [
"29+3=32",
"92-26=66",
"32+66=98"
] | Current State: 98:[29, 3, 92, 26], Operations: []
Exploring Operation: 29+3=32, Resulting Numbers: [92, 26, 32]
Generated Node #2: [92, 26, 32] from Operation: 29+3=32
Current State: 98:[92, 26, 32], Operations: ['29+3=32']
Exploring Operation: 92-26=66, Resulting Numbers: [32, 66]
Generated Node #3: [32, 66] from Operation: 92-26=66
Current State: 98:[32, 66], Operations: ['29+3=32', '92-26=66']
Exploring Operation: 32+66=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
33,
53,
97,
78
] | 89 | [
"33+53=86",
"97+78=175",
"175-86=89"
] | Current State: 89:[33, 53, 97, 78], Operations: []
Exploring Operation: 33+53=86, Resulting Numbers: [97, 78, 86]
Generated Node #2: [97, 78, 86] from Operation: 33+53=86
Current State: 89:[97, 78, 86], Operations: ['33+53=86']
Exploring Operation: 97+78=175, Resulting Numbers: [86, 175]
Generated Node #3: [86, 175] from Operation: 97+78=175
Current State: 89:[86, 175], Operations: ['33+53=86', '97+78=175']
Exploring Operation: 175-86=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
54,
10,
24,
18
] | 57 | [
"18-10=8",
"24/8=3",
"54+3=57"
] | Current State: 57:[54, 10, 24, 18], Operations: []
Exploring Operation: 18-10=8, Resulting Numbers: [54, 24, 8]
Generated Node #2: [54, 24, 8] from Operation: 18-10=8
Current State: 57:[54, 24, 8], Operations: ['18-10=8']
Exploring Operation: 24/8=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 24/8=3
Current State: 57:[54, 3], Operations: ['18-10=8', '24/8=3']
Exploring Operation: 54+3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
36,
85,
12,
98
] | 39 | [
"36/12=3",
"98-85=13",
"3*13=39"
] | Current State: 39:[36, 85, 12, 98], Operations: []
Exploring Operation: 36/12=3, Resulting Numbers: [85, 98, 3]
Generated Node #2: [85, 98, 3] from Operation: 36/12=3
Current State: 39:[85, 98, 3], Operations: ['36/12=3']
Exploring Operation: 98-85=13, Resulting Numbers: [3, 13]
Generated Node #3: [3, 13] from Operation: 98-85=13
Current State: 39:[3, 13], Operations: ['36/12=3', '98-85=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
22,
3,
4,
96
] | 42 | [
"22*3=66",
"96/4=24",
"66-24=42"
] | Current State: 42:[22, 3, 4, 96], Operations: []
Exploring Operation: 22*3=66, Resulting Numbers: [4, 96, 66]
Generated Node #2: [4, 96, 66] from Operation: 22*3=66
Current State: 42:[4, 96, 66], Operations: ['22*3=66']
Exploring Operation: 96/4=24, Resulting Numbers: [66, 24]
Generated Node #3: [66, 24] from Operation: 96/4=24
Current State: 42:[66, 24], Operations: ['22*3=66', '96/4=24']
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
31,
74,
50,
70
] | 10 | [
"74-31=43",
"50-43=7",
"70/7=10"
] | Current State: 10:[31, 74, 50, 70], Operations: []
Exploring Operation: 74-31=43, Resulting Numbers: [50, 70, 43]
Generated Node #2: [50, 70, 43] from Operation: 74-31=43
Current State: 10:[50, 70, 43], Operations: ['74-31=43']
Exploring Operation: 50-43=7, Resulting Numbers: [70, 7]
Generated Node #3: [70, 7] from Operation: 50-43=7
Current State: 10:[70, 7], Operations: ['74-31=43', '50-43=7']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
35,
33,
37,
3
] | 77 | [
"35-33=2",
"37*2=74",
"3+74=77"
] | Current State: 77:[35, 33, 37, 3], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [37, 3, 2]
Generated Node #2: [37, 3, 2] from Operation: 35-33=2
Current State: 77:[37, 3, 2], Operations: ['35-33=2']
Exploring Operation: 37*2=74, Resulting Numbers: [3, 74]
Generated Node #3: [3, 74] from Operation: 37*2=74
Current State: 77:[3, 74], Operations: ['35-33=2', '37*2=74']
Exploring Operation: 3+74=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
78,
72,
30,
69
] | 12 | [
"72-69=3",
"30*3=90",
"90-78=12"
] | Current State: 12:[78, 72, 30, 69], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [78, 30, 3]
Generated Node #2: [78, 30, 3] from Operation: 72-69=3
Current State: 12:[78, 30, 3], Operations: ['72-69=3']
Exploring Operation: 30*3=90, Resulting Numbers: [78, 90]
Generated Node #3: [78, 90] from Operation: 30*3=90
Current State: 12:[78, 90], Operations: ['72-69=3', '30*3=90']
Exploring Operation: 90-78=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
47,
37,
78,
75
] | 81 | [
"47+37=84",
"78-75=3",
"84-3=81"
] | Current State: 81:[47, 37, 78, 75], Operations: []
Exploring Operation: 47+37=84, Resulting Numbers: [78, 75, 84]
Generated Node #2: [78, 75, 84] from Operation: 47+37=84
Current State: 81:[78, 75, 84], Operations: ['47+37=84']
Exploring Operation: 78-75=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 78-75=3
Current State: 81:[84, 3], Operations: ['47+37=84', '78-75=3']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
56,
6,
54,
38
] | 27 | [
"56-38=18",
"54/6=9",
"18+9=27"
] | Current State: 27:[56, 6, 54, 38], Operations: []
Exploring Operation: 56-38=18, Resulting Numbers: [6, 54, 18]
Generated Node #2: [6, 54, 18] from Operation: 56-38=18
Current State: 27:[6, 54, 18], Operations: ['56-38=18']
Exploring Operation: 54/6=9, Resulting Numbers: [18, 9]
Generated Node #3: [18, 9] from Operation: 54/6=9
Current State: 27:[18, 9], Operations: ['56-38=18', '54/6=9']
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
80,
42,
16,
6
] | 83 | [
"42+6=48",
"48/16=3",
"80+3=83"
] | Current State: 83:[80, 42, 16, 6], Operations: []
Exploring Operation: 42+6=48, Resulting Numbers: [80, 16, 48]
Generated Node #2: [80, 16, 48] from Operation: 42+6=48
Current State: 83:[80, 16, 48], Operations: ['42+6=48']
Exploring Operation: 48/16=3, Resulting Numbers: [80, 3]
Generated Node #3: [80, 3] from Operation: 48/16=3
Current State: 83:[80, 3], Operations: ['42+6=48', '48/16=3']
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
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