nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
83,
96,
14,
27
] | 92 | [
"83-27=56",
"56/14=4",
"96-4=92"
] | Current State: 92:[83, 96, 14, 27], Operations: []
Exploring Operation: 83-27=56, Resulting Numbers: [96, 14, 56]
Generated Node #2: [96, 14, 56] from Operation: 83-27=56
Current State: 92:[96, 14, 56], Operations: ['83-27=56']
Exploring Operation: 56/14=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 56/14=4
Current State: 92:[96, 4], Operations: ['83-27=56', '56/14=4']
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
81,
31,
41,
63
] | 56 | [
"31+41=72",
"63*72=4536",
"4536/81=56"
] | Current State: 56:[81, 31, 41, 63], Operations: []
Exploring Operation: 31+41=72, Resulting Numbers: [81, 63, 72]
Generated Node #2: [81, 63, 72] from Operation: 31+41=72
Current State: 56:[81, 63, 72], Operations: ['31+41=72']
Exploring Operation: 63*72=4536, Resulting Numbers: [81, 4536]
Generated Node #3: [81, 4536] from Operation: 63*72=4536
Current State: 56:[81, 4536], Operations: ['31+41=72', '63*72=4536']
Exploring Operation: 4536/81=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
39,
50,
25,
16
] | 99 | [
"50-39=11",
"25-16=9",
"11*9=99"
] | Current State: 99:[39, 50, 25, 16], Operations: []
Exploring Operation: 50-39=11, Resulting Numbers: [25, 16, 11]
Generated Node #2: [25, 16, 11] from Operation: 50-39=11
Current State: 99:[25, 16, 11], Operations: ['50-39=11']
Exploring Operation: 25-16=9, Resulting Numbers: [11, 9]
Generated Node #3: [11, 9] from Operation: 25-16=9
Current State: 99:[11, 9], Operations: ['50-39=11', '25-16=9']
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
33,
57,
75,
65
] | 69 | [
"57+75=132",
"132/33=4",
"65+4=69"
] | Current State: 69:[33, 57, 75, 65], Operations: []
Exploring Operation: 57+75=132, Resulting Numbers: [33, 65, 132]
Generated Node #2: [33, 65, 132] from Operation: 57+75=132
Current State: 69:[33, 65, 132], Operations: ['57+75=132']
Exploring Operation: 132/33=4, Resulting Numbers: [65, 4]
Generated Node #3: [65, 4] from Operation: 132/33=4
Current State: 69:[65, 4], Operations: ['57+75=132', '132/33=4']
Exploring Operation: 65+4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
90,
23,
58,
69
] | 29 | [
"90-23=67",
"69-67=2",
"58/2=29"
] | Current State: 29:[90, 23, 58, 69], Operations: []
Exploring Operation: 90-23=67, Resulting Numbers: [58, 69, 67]
Generated Node #2: [58, 69, 67] from Operation: 90-23=67
Current State: 29:[58, 69, 67], Operations: ['90-23=67']
Exploring Operation: 69-67=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 69-67=2
Current State: 29:[58, 2], Operations: ['90-23=67', '69-67=2']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
2,
9,
22,
87
] | 93 | [
"22-2=20",
"9*20=180",
"180-87=93"
] | Current State: 93:[2, 9, 22, 87], Operations: []
Exploring Operation: 22-2=20, Resulting Numbers: [9, 87, 20]
Generated Node #2: [9, 87, 20] from Operation: 22-2=20
Current State: 93:[9, 87, 20], Operations: ['22-2=20']
Exploring Operation: 9*20=180, Resulting Numbers: [87, 180]
Generated Node #3: [87, 180] from Operation: 9*20=180
Current State: 93:[87, 180], Operations: ['22-2=20', '9*20=180']
Exploring Operation: 180-87=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
26,
81,
58,
9
] | 93 | [
"26+58=84",
"81/9=9",
"84+9=93"
] | Current State: 93:[26, 81, 58, 9], Operations: []
Exploring Operation: 26+58=84, Resulting Numbers: [81, 9, 84]
Generated Node #2: [81, 9, 84] from Operation: 26+58=84
Current State: 93:[81, 9, 84], Operations: ['26+58=84']
Exploring Operation: 81/9=9, Resulting Numbers: [84, 9]
Generated Node #3: [84, 9] from Operation: 81/9=9
Current State: 93:[84, 9], Operations: ['26+58=84', '81/9=9']
Exploring Operation: 84+9=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
86,
50,
99,
24
] | 39 | [
"86-50=36",
"99-24=75",
"75-36=39"
] | Current State: 39:[86, 50, 99, 24], Operations: []
Exploring Operation: 86-50=36, Resulting Numbers: [99, 24, 36]
Generated Node #2: [99, 24, 36] from Operation: 86-50=36
Current State: 39:[99, 24, 36], Operations: ['86-50=36']
Exploring Operation: 99-24=75, Resulting Numbers: [36, 75]
Generated Node #3: [36, 75] from Operation: 99-24=75
Current State: 39:[36, 75], Operations: ['86-50=36', '99-24=75']
Exploring Operation: 75-36=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
20,
50,
41,
66
] | 95 | [
"20+50=70",
"66-41=25",
"70+25=95"
] | Current State: 95:[20, 50, 41, 66], Operations: []
Exploring Operation: 20+50=70, Resulting Numbers: [41, 66, 70]
Generated Node #2: [41, 66, 70] from Operation: 20+50=70
Current State: 95:[41, 66, 70], Operations: ['20+50=70']
Exploring Operation: 66-41=25, Resulting Numbers: [70, 25]
Generated Node #3: [70, 25] from Operation: 66-41=25
Current State: 95:[70, 25], Operations: ['20+50=70', '66-41=25']
Exploring Operation: 70+25=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
74,
15,
34,
10
] | 96 | [
"15-10=5",
"34*5=170",
"170-74=96"
] | Current State: 96:[74, 15, 34, 10], Operations: []
Exploring Operation: 15-10=5, Resulting Numbers: [74, 34, 5]
Generated Node #2: [74, 34, 5] from Operation: 15-10=5
Current State: 96:[74, 34, 5], Operations: ['15-10=5']
Exploring Operation: 34*5=170, Resulting Numbers: [74, 170]
Generated Node #3: [74, 170] from Operation: 34*5=170
Current State: 96:[74, 170], Operations: ['15-10=5', '34*5=170']
Exploring Operation: 170-74=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
65,
74,
49,
24
] | 64 | [
"74-65=9",
"49+24=73",
"73-9=64"
] | Current State: 64:[65, 74, 49, 24], Operations: []
Exploring Operation: 74-65=9, Resulting Numbers: [49, 24, 9]
Generated Node #2: [49, 24, 9] from Operation: 74-65=9
Current State: 64:[49, 24, 9], Operations: ['74-65=9']
Exploring Operation: 49+24=73, Resulting Numbers: [9, 73]
Generated Node #3: [9, 73] from Operation: 49+24=73
Current State: 64:[9, 73], Operations: ['74-65=9', '49+24=73']
Exploring Operation: 73-9=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
15,
92,
23,
7
] | 46 | [
"15*92=1380",
"23+7=30",
"1380/30=46"
] | Current State: 46:[15, 92, 23, 7], Operations: []
Exploring Operation: 15*92=1380, Resulting Numbers: [23, 7, 1380]
Generated Node #2: [23, 7, 1380] from Operation: 15*92=1380
Current State: 46:[23, 7, 1380], Operations: ['15*92=1380']
Exploring Operation: 23+7=30, Resulting Numbers: [1380, 30]
Generated Node #3: [1380, 30] from Operation: 23+7=30
Current State: 46:[1380, 30], Operations: ['15*92=1380', '23+7=30']
Exploring Operation: 1380/30=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
5,
22,
32,
28
] | 31 | [
"5+22=27",
"32-28=4",
"27+4=31"
] | Current State: 31:[5, 22, 32, 28], Operations: []
Exploring Operation: 5+22=27, Resulting Numbers: [32, 28, 27]
Generated Node #2: [32, 28, 27] from Operation: 5+22=27
Current State: 31:[32, 28, 27], Operations: ['5+22=27']
Exploring Operation: 32-28=4, Resulting Numbers: [27, 4]
Generated Node #3: [27, 4] from Operation: 32-28=4
Current State: 31:[27, 4], Operations: ['5+22=27', '32-28=4']
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
89,
77,
49,
2
] | 55 | [
"89-77=12",
"12/2=6",
"49+6=55"
] | Current State: 55:[89, 77, 49, 2], Operations: []
Exploring Operation: 89-77=12, Resulting Numbers: [49, 2, 12]
Generated Node #2: [49, 2, 12] from Operation: 89-77=12
Current State: 55:[49, 2, 12], Operations: ['89-77=12']
Exploring Operation: 12/2=6, Resulting Numbers: [49, 6]
Generated Node #3: [49, 6] from Operation: 12/2=6
Current State: 55:[49, 6], Operations: ['89-77=12', '12/2=6']
Exploring Operation: 49+6=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
71,
69,
21,
63
] | 99 | [
"71-63=8",
"21*8=168",
"168-69=99"
] | Current State: 99:[71, 69, 21, 63], Operations: []
Exploring Operation: 71-63=8, Resulting Numbers: [69, 21, 8]
Generated Node #2: [69, 21, 8] from Operation: 71-63=8
Current State: 99:[69, 21, 8], Operations: ['71-63=8']
Exploring Operation: 21*8=168, Resulting Numbers: [69, 168]
Generated Node #3: [69, 168] from Operation: 21*8=168
Current State: 99:[69, 168], Operations: ['71-63=8', '21*8=168']
Exploring Operation: 168-69=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
3,
63,
82,
97
] | 20 | [
"97-63=34",
"3*34=102",
"102-82=20"
] | Current State: 20:[3, 63, 82, 97], Operations: []
Exploring Operation: 97-63=34, Resulting Numbers: [3, 82, 34]
Generated Node #2: [3, 82, 34] from Operation: 97-63=34
Current State: 20:[3, 82, 34], Operations: ['97-63=34']
Exploring Operation: 3*34=102, Resulting Numbers: [82, 102]
Generated Node #3: [82, 102] from Operation: 3*34=102
Current State: 20:[82, 102], Operations: ['97-63=34', '3*34=102']
Exploring Operation: 102-82=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
61,
3,
6,
47
] | 54 | [
"61+47=108",
"6/3=2",
"108/2=54"
] | Current State: 54:[61, 3, 6, 47], Operations: []
Exploring Operation: 61+47=108, Resulting Numbers: [3, 6, 108]
Generated Node #2: [3, 6, 108] from Operation: 61+47=108
Current State: 54:[3, 6, 108], Operations: ['61+47=108']
Exploring Operation: 6/3=2, Resulting Numbers: [108, 2]
Generated Node #3: [108, 2] from Operation: 6/3=2
Current State: 54:[108, 2], Operations: ['61+47=108', '6/3=2']
Exploring Operation: 108/2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
30,
50,
36,
75
] | 54 | [
"50*36=1800",
"1800/75=24",
"30+24=54"
] | Current State: 54:[30, 50, 36, 75], Operations: []
Exploring Operation: 50*36=1800, Resulting Numbers: [30, 75, 1800]
Generated Node #2: [30, 75, 1800] from Operation: 50*36=1800
Current State: 54:[30, 75, 1800], Operations: ['50*36=1800']
Exploring Operation: 1800/75=24, Resulting Numbers: [30, 24]
Generated Node #3: [30, 24] from Operation: 1800/75=24
Current State: 54:[30, 24], Operations: ['50*36=1800', '1800/75=24']
Exploring Operation: 30+24=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
56,
49,
25,
54
] | 69 | [
"54-49=5",
"25*5=125",
"125-56=69"
] | Current State: 69:[56, 49, 25, 54], Operations: []
Exploring Operation: 54-49=5, Resulting Numbers: [56, 25, 5]
Generated Node #2: [56, 25, 5] from Operation: 54-49=5
Current State: 69:[56, 25, 5], Operations: ['54-49=5']
Exploring Operation: 25*5=125, Resulting Numbers: [56, 125]
Generated Node #3: [56, 125] from Operation: 25*5=125
Current State: 69:[56, 125], Operations: ['54-49=5', '25*5=125']
Exploring Operation: 125-56=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
88,
63,
71,
65
] | 76 | [
"71-63=8",
"88/8=11",
"65+11=76"
] | Current State: 76:[88, 63, 71, 65], Operations: []
Exploring Operation: 71-63=8, Resulting Numbers: [88, 65, 8]
Generated Node #2: [88, 65, 8] from Operation: 71-63=8
Current State: 76:[88, 65, 8], Operations: ['71-63=8']
Exploring Operation: 88/8=11, Resulting Numbers: [65, 11]
Generated Node #3: [65, 11] from Operation: 88/8=11
Current State: 76:[65, 11], Operations: ['71-63=8', '88/8=11']
Exploring Operation: 65+11=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
72,
48,
64,
39
] | 38 | [
"48*39=1872",
"1872/72=26",
"64-26=38"
] | Current State: 38:[72, 48, 64, 39], Operations: []
Exploring Operation: 48*39=1872, Resulting Numbers: [72, 64, 1872]
Generated Node #2: [72, 64, 1872] from Operation: 48*39=1872
Current State: 38:[72, 64, 1872], Operations: ['48*39=1872']
Exploring Operation: 1872/72=26, Resulting Numbers: [64, 26]
Generated Node #3: [64, 26] from Operation: 1872/72=26
Current State: 38:[64, 26], Operations: ['48*39=1872', '1872/72=26']
Exploring Operation: 64-26=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
85,
43,
29,
29
] | 85 | [
"29-29=0",
"43*0=0",
"85+0=85"
] | Current State: 85:[85, 43, 29, 29], Operations: []
Exploring Operation: 29-29=0, Resulting Numbers: [85, 43, 0]
Generated Node #2: [85, 43, 0] from Operation: 29-29=0
Current State: 85:[85, 43, 0], Operations: ['29-29=0']
Exploring Operation: 43*0=0, Resulting Numbers: [85, 0]
Generated Node #3: [85, 0] from Operation: 43*0=0
Current State: 85:[85, 0], Operations: ['29-29=0', '43*0=0']
Exploring Operation: 85+0=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
98,
59,
3,
2
] | 23 | [
"98-3=95",
"59*2=118",
"118-95=23"
] | Current State: 23:[98, 59, 3, 2], Operations: []
Exploring Operation: 98-3=95, Resulting Numbers: [59, 2, 95]
Generated Node #2: [59, 2, 95] from Operation: 98-3=95
Current State: 23:[59, 2, 95], Operations: ['98-3=95']
Exploring Operation: 59*2=118, Resulting Numbers: [95, 118]
Generated Node #3: [95, 118] from Operation: 59*2=118
Current State: 23:[95, 118], Operations: ['98-3=95', '59*2=118']
Exploring Operation: 118-95=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
72,
43,
50,
16
] | 95 | [
"72-43=29",
"50+16=66",
"29+66=95"
] | Current State: 95:[72, 43, 50, 16], Operations: []
Exploring Operation: 72-43=29, Resulting Numbers: [50, 16, 29]
Generated Node #2: [50, 16, 29] from Operation: 72-43=29
Current State: 95:[50, 16, 29], Operations: ['72-43=29']
Exploring Operation: 50+16=66, Resulting Numbers: [29, 66]
Generated Node #3: [29, 66] from Operation: 50+16=66
Current State: 95:[29, 66], Operations: ['72-43=29', '50+16=66']
Exploring Operation: 29+66=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
16,
26,
18,
79
] | 87 | [
"26-16=10",
"18+79=97",
"97-10=87"
] | Current State: 87:[16, 26, 18, 79], Operations: []
Exploring Operation: 26-16=10, Resulting Numbers: [18, 79, 10]
Generated Node #2: [18, 79, 10] from Operation: 26-16=10
Current State: 87:[18, 79, 10], Operations: ['26-16=10']
Exploring Operation: 18+79=97, Resulting Numbers: [10, 97]
Generated Node #3: [10, 97] from Operation: 18+79=97
Current State: 87:[10, 97], Operations: ['26-16=10', '18+79=97']
Exploring Operation: 97-10=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
72,
20,
59,
78
] | 70 | [
"59-20=39",
"78/39=2",
"72-2=70"
] | Current State: 70:[72, 20, 59, 78], Operations: []
Exploring Operation: 59-20=39, Resulting Numbers: [72, 78, 39]
Generated Node #2: [72, 78, 39] from Operation: 59-20=39
Current State: 70:[72, 78, 39], Operations: ['59-20=39']
Exploring Operation: 78/39=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 78/39=2
Current State: 70:[72, 2], Operations: ['59-20=39', '78/39=2']
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
48,
4,
5,
63
] | 80 | [
"48/4=12",
"5+63=68",
"12+68=80"
] | Current State: 80:[48, 4, 5, 63], Operations: []
Exploring Operation: 48/4=12, Resulting Numbers: [5, 63, 12]
Generated Node #2: [5, 63, 12] from Operation: 48/4=12
Current State: 80:[5, 63, 12], Operations: ['48/4=12']
Exploring Operation: 5+63=68, Resulting Numbers: [12, 68]
Generated Node #3: [12, 68] from Operation: 5+63=68
Current State: 80:[12, 68], Operations: ['48/4=12', '5+63=68']
Exploring Operation: 12+68=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
25,
33,
54,
42
] | 12 | [
"33-25=8",
"54+42=96",
"96/8=12"
] | Current State: 12:[25, 33, 54, 42], Operations: []
Exploring Operation: 33-25=8, Resulting Numbers: [54, 42, 8]
Generated Node #2: [54, 42, 8] from Operation: 33-25=8
Current State: 12:[54, 42, 8], Operations: ['33-25=8']
Exploring Operation: 54+42=96, Resulting Numbers: [8, 96]
Generated Node #3: [8, 96] from Operation: 54+42=96
Current State: 12:[8, 96], Operations: ['33-25=8', '54+42=96']
Exploring Operation: 96/8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
66,
32,
8,
54
] | 16 | [
"66-54=12",
"32/8=4",
"12+4=16"
] | Current State: 16:[66, 32, 8, 54], Operations: []
Exploring Operation: 66-54=12, Resulting Numbers: [32, 8, 12]
Generated Node #2: [32, 8, 12] from Operation: 66-54=12
Current State: 16:[32, 8, 12], Operations: ['66-54=12']
Exploring Operation: 32/8=4, Resulting Numbers: [12, 4]
Generated Node #3: [12, 4] from Operation: 32/8=4
Current State: 16:[12, 4], Operations: ['66-54=12', '32/8=4']
Exploring Operation: 12+4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
99,
55,
38,
49
] | 67 | [
"99+55=154",
"38+49=87",
"154-87=67"
] | Current State: 67:[99, 55, 38, 49], Operations: []
Exploring Operation: 99+55=154, Resulting Numbers: [38, 49, 154]
Generated Node #2: [38, 49, 154] from Operation: 99+55=154
Current State: 67:[38, 49, 154], Operations: ['99+55=154']
Exploring Operation: 38+49=87, Resulting Numbers: [154, 87]
Generated Node #3: [154, 87] from Operation: 38+49=87
Current State: 67:[154, 87], Operations: ['99+55=154', '38+49=87']
Exploring Operation: 154-87=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
69,
43,
79,
2
] | 46 | [
"69+43=112",
"79*2=158",
"158-112=46"
] | Current State: 46:[69, 43, 79, 2], Operations: []
Exploring Operation: 69+43=112, Resulting Numbers: [79, 2, 112]
Generated Node #2: [79, 2, 112] from Operation: 69+43=112
Current State: 46:[79, 2, 112], Operations: ['69+43=112']
Exploring Operation: 79*2=158, Resulting Numbers: [112, 158]
Generated Node #3: [112, 158] from Operation: 79*2=158
Current State: 46:[112, 158], Operations: ['69+43=112', '79*2=158']
Exploring Operation: 158-112=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
20,
23,
34,
81
] | 90 | [
"20+23=43",
"81-34=47",
"43+47=90"
] | Current State: 90:[20, 23, 34, 81], Operations: []
Exploring Operation: 20+23=43, Resulting Numbers: [34, 81, 43]
Generated Node #2: [34, 81, 43] from Operation: 20+23=43
Current State: 90:[34, 81, 43], Operations: ['20+23=43']
Exploring Operation: 81-34=47, Resulting Numbers: [43, 47]
Generated Node #3: [43, 47] from Operation: 81-34=47
Current State: 90:[43, 47], Operations: ['20+23=43', '81-34=47']
Exploring Operation: 43+47=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
21,
93,
90,
53
] | 71 | [
"93-21=72",
"90+53=143",
"143-72=71"
] | Current State: 71:[21, 93, 90, 53], Operations: []
Exploring Operation: 93-21=72, Resulting Numbers: [90, 53, 72]
Generated Node #2: [90, 53, 72] from Operation: 93-21=72
Current State: 71:[90, 53, 72], Operations: ['93-21=72']
Exploring Operation: 90+53=143, Resulting Numbers: [72, 143]
Generated Node #3: [72, 143] from Operation: 90+53=143
Current State: 71:[72, 143], Operations: ['93-21=72', '90+53=143']
Exploring Operation: 143-72=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
5,
17,
39,
93
] | 76 | [
"5+17=22",
"93-39=54",
"22+54=76"
] | Current State: 76:[5, 17, 39, 93], Operations: []
Exploring Operation: 5+17=22, Resulting Numbers: [39, 93, 22]
Generated Node #2: [39, 93, 22] from Operation: 5+17=22
Current State: 76:[39, 93, 22], Operations: ['5+17=22']
Exploring Operation: 93-39=54, Resulting Numbers: [22, 54]
Generated Node #3: [22, 54] from Operation: 93-39=54
Current State: 76:[22, 54], Operations: ['5+17=22', '93-39=54']
Exploring Operation: 22+54=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
17,
12,
50,
13
] | 68 | [
"17-12=5",
"50+13=63",
"5+63=68"
] | Current State: 68:[17, 12, 50, 13], Operations: []
Exploring Operation: 17-12=5, Resulting Numbers: [50, 13, 5]
Generated Node #2: [50, 13, 5] from Operation: 17-12=5
Current State: 68:[50, 13, 5], Operations: ['17-12=5']
Exploring Operation: 50+13=63, Resulting Numbers: [5, 63]
Generated Node #3: [5, 63] from Operation: 50+13=63
Current State: 68:[5, 63], Operations: ['17-12=5', '50+13=63']
Exploring Operation: 5+63=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
53,
49,
3,
95
] | 55 | [
"3+95=98",
"98/49=2",
"53+2=55"
] | Current State: 55:[53, 49, 3, 95], Operations: []
Exploring Operation: 3+95=98, Resulting Numbers: [53, 49, 98]
Generated Node #2: [53, 49, 98] from Operation: 3+95=98
Current State: 55:[53, 49, 98], Operations: ['3+95=98']
Exploring Operation: 98/49=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 98/49=2
Current State: 55:[53, 2], Operations: ['3+95=98', '98/49=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
92,
10,
48,
6
] | 89 | [
"10+6=16",
"48/16=3",
"92-3=89"
] | Current State: 89:[92, 10, 48, 6], Operations: []
Exploring Operation: 10+6=16, Resulting Numbers: [92, 48, 16]
Generated Node #2: [92, 48, 16] from Operation: 10+6=16
Current State: 89:[92, 48, 16], Operations: ['10+6=16']
Exploring Operation: 48/16=3, Resulting Numbers: [92, 3]
Generated Node #3: [92, 3] from Operation: 48/16=3
Current State: 89:[92, 3], Operations: ['10+6=16', '48/16=3']
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
86,
2,
63,
46
] | 66 | [
"86/2=43",
"63+46=109",
"109-43=66"
] | Current State: 66:[86, 2, 63, 46], Operations: []
Exploring Operation: 86/2=43, Resulting Numbers: [63, 46, 43]
Generated Node #2: [63, 46, 43] from Operation: 86/2=43
Current State: 66:[63, 46, 43], Operations: ['86/2=43']
Exploring Operation: 63+46=109, Resulting Numbers: [43, 109]
Generated Node #3: [43, 109] from Operation: 63+46=109
Current State: 66:[43, 109], Operations: ['86/2=43', '63+46=109']
Exploring Operation: 109-43=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
89,
22,
49,
24
] | 38 | [
"89+22=111",
"49+24=73",
"111-73=38"
] | Current State: 38:[89, 22, 49, 24], Operations: []
Exploring Operation: 89+22=111, Resulting Numbers: [49, 24, 111]
Generated Node #2: [49, 24, 111] from Operation: 89+22=111
Current State: 38:[49, 24, 111], Operations: ['89+22=111']
Exploring Operation: 49+24=73, Resulting Numbers: [111, 73]
Generated Node #3: [111, 73] from Operation: 49+24=73
Current State: 38:[111, 73], Operations: ['89+22=111', '49+24=73']
Exploring Operation: 111-73=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
4,
42,
72,
68
] | 43 | [
"72-4=68",
"68/68=1",
"42+1=43"
] | Current State: 43:[4, 42, 72, 68], Operations: []
Exploring Operation: 72-4=68, Resulting Numbers: [42, 68, 68]
Generated Node #2: [42, 68, 68] from Operation: 72-4=68
Current State: 43:[42, 68, 68], Operations: ['72-4=68']
Exploring Operation: 68/68=1, Resulting Numbers: [42, 1]
Generated Node #3: [42, 1] from Operation: 68/68=1
Current State: 43:[42, 1], Operations: ['72-4=68', '68/68=1']
Exploring Operation: 42+1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
19,
68,
27,
9
] | 84 | [
"19+68=87",
"27/9=3",
"87-3=84"
] | Current State: 84:[19, 68, 27, 9], Operations: []
Exploring Operation: 19+68=87, Resulting Numbers: [27, 9, 87]
Generated Node #2: [27, 9, 87] from Operation: 19+68=87
Current State: 84:[27, 9, 87], Operations: ['19+68=87']
Exploring Operation: 27/9=3, Resulting Numbers: [87, 3]
Generated Node #3: [87, 3] from Operation: 27/9=3
Current State: 84:[87, 3], Operations: ['19+68=87', '27/9=3']
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
2,
37,
76,
81
] | 64 | [
"37+76=113",
"113-81=32",
"2*32=64"
] | Current State: 64:[2, 37, 76, 81], Operations: []
Exploring Operation: 37+76=113, Resulting Numbers: [2, 81, 113]
Generated Node #2: [2, 81, 113] from Operation: 37+76=113
Current State: 64:[2, 81, 113], Operations: ['37+76=113']
Exploring Operation: 113-81=32, Resulting Numbers: [2, 32]
Generated Node #3: [2, 32] from Operation: 113-81=32
Current State: 64:[2, 32], Operations: ['37+76=113', '113-81=32']
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
50,
80,
33,
37
] | 60 | [
"50+80=130",
"33+37=70",
"130-70=60"
] | Current State: 60:[50, 80, 33, 37], Operations: []
Exploring Operation: 50+80=130, Resulting Numbers: [33, 37, 130]
Generated Node #2: [33, 37, 130] from Operation: 50+80=130
Current State: 60:[33, 37, 130], Operations: ['50+80=130']
Exploring Operation: 33+37=70, Resulting Numbers: [130, 70]
Generated Node #3: [130, 70] from Operation: 33+37=70
Current State: 60:[130, 70], Operations: ['50+80=130', '33+37=70']
Exploring Operation: 130-70=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
12,
33,
82,
72
] | 66 | [
"82-12=70",
"72-70=2",
"33*2=66"
] | Current State: 66:[12, 33, 82, 72], Operations: []
Exploring Operation: 82-12=70, Resulting Numbers: [33, 72, 70]
Generated Node #2: [33, 72, 70] from Operation: 82-12=70
Current State: 66:[33, 72, 70], Operations: ['82-12=70']
Exploring Operation: 72-70=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 72-70=2
Current State: 66:[33, 2], Operations: ['82-12=70', '72-70=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
19,
52,
65,
4
] | 63 | [
"19*4=76",
"65-52=13",
"76-13=63"
] | Current State: 63:[19, 52, 65, 4], Operations: []
Exploring Operation: 19*4=76, Resulting Numbers: [52, 65, 76]
Generated Node #2: [52, 65, 76] from Operation: 19*4=76
Current State: 63:[52, 65, 76], Operations: ['19*4=76']
Exploring Operation: 65-52=13, Resulting Numbers: [76, 13]
Generated Node #3: [76, 13] from Operation: 65-52=13
Current State: 63:[76, 13], Operations: ['19*4=76', '65-52=13']
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
41,
37,
31,
52
] | 95 | [
"41*37=1517",
"31*52=1612",
"1612-1517=95"
] | Current State: 95:[41, 37, 31, 52], Operations: []
Exploring Operation: 41*37=1517, Resulting Numbers: [31, 52, 1517]
Generated Node #2: [31, 52, 1517] from Operation: 41*37=1517
Current State: 95:[31, 52, 1517], Operations: ['41*37=1517']
Exploring Operation: 31*52=1612, Resulting Numbers: [1517, 1612]
Generated Node #3: [1517, 1612] from Operation: 31*52=1612
Current State: 95:[1517, 1612], Operations: ['41*37=1517', '31*52=1612']
Exploring Operation: 1612-1517=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
22,
12,
54,
30
] | 10 | [
"22+12=34",
"54-30=24",
"34-24=10"
] | Current State: 10:[22, 12, 54, 30], Operations: []
Exploring Operation: 22+12=34, Resulting Numbers: [54, 30, 34]
Generated Node #2: [54, 30, 34] from Operation: 22+12=34
Current State: 10:[54, 30, 34], Operations: ['22+12=34']
Exploring Operation: 54-30=24, Resulting Numbers: [34, 24]
Generated Node #3: [34, 24] from Operation: 54-30=24
Current State: 10:[34, 24], Operations: ['22+12=34', '54-30=24']
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
91,
6,
59,
67
] | 70 | [
"59+67=126",
"126/6=21",
"91-21=70"
] | Current State: 70:[91, 6, 59, 67], Operations: []
Exploring Operation: 59+67=126, Resulting Numbers: [91, 6, 126]
Generated Node #2: [91, 6, 126] from Operation: 59+67=126
Current State: 70:[91, 6, 126], Operations: ['59+67=126']
Exploring Operation: 126/6=21, Resulting Numbers: [91, 21]
Generated Node #3: [91, 21] from Operation: 126/6=21
Current State: 70:[91, 21], Operations: ['59+67=126', '126/6=21']
Exploring Operation: 91-21=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
22,
84,
96,
20
] | 30 | [
"22+84=106",
"96-20=76",
"106-76=30"
] | Current State: 30:[22, 84, 96, 20], Operations: []
Exploring Operation: 22+84=106, Resulting Numbers: [96, 20, 106]
Generated Node #2: [96, 20, 106] from Operation: 22+84=106
Current State: 30:[96, 20, 106], Operations: ['22+84=106']
Exploring Operation: 96-20=76, Resulting Numbers: [106, 76]
Generated Node #3: [106, 76] from Operation: 96-20=76
Current State: 30:[106, 76], Operations: ['22+84=106', '96-20=76']
Exploring Operation: 106-76=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
15,
20,
62,
20
] | 15 | [
"20-20=0",
"62*0=0",
"15+0=15"
] | Current State: 15:[15, 20, 62, 20], Operations: []
Exploring Operation: 20-20=0, Resulting Numbers: [15, 62, 0]
Generated Node #2: [15, 62, 0] from Operation: 20-20=0
Current State: 15:[15, 62, 0], Operations: ['20-20=0']
Exploring Operation: 62*0=0, Resulting Numbers: [15, 0]
Generated Node #3: [15, 0] from Operation: 62*0=0
Current State: 15:[15, 0], Operations: ['20-20=0', '62*0=0']
Exploring Operation: 15+0=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
60,
80,
76,
40
] | 50 | [
"80-76=4",
"40/4=10",
"60-10=50"
] | Current State: 50:[60, 80, 76, 40], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [60, 40, 4]
Generated Node #2: [60, 40, 4] from Operation: 80-76=4
Current State: 50:[60, 40, 4], Operations: ['80-76=4']
Exploring Operation: 40/4=10, Resulting Numbers: [60, 10]
Generated Node #3: [60, 10] from Operation: 40/4=10
Current State: 50:[60, 10], Operations: ['80-76=4', '40/4=10']
Exploring Operation: 60-10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
36,
23,
25,
21
] | 13 | [
"36+23=59",
"25+21=46",
"59-46=13"
] | Current State: 13:[36, 23, 25, 21], Operations: []
Exploring Operation: 36+23=59, Resulting Numbers: [25, 21, 59]
Generated Node #2: [25, 21, 59] from Operation: 36+23=59
Current State: 13:[25, 21, 59], Operations: ['36+23=59']
Exploring Operation: 25+21=46, Resulting Numbers: [59, 46]
Generated Node #3: [59, 46] from Operation: 25+21=46
Current State: 13:[59, 46], Operations: ['36+23=59', '25+21=46']
Exploring Operation: 59-46=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
96,
2,
11,
84
] | 66 | [
"96-84=12",
"12/2=6",
"11*6=66"
] | Current State: 66:[96, 2, 11, 84], Operations: []
Exploring Operation: 96-84=12, Resulting Numbers: [2, 11, 12]
Generated Node #2: [2, 11, 12] from Operation: 96-84=12
Current State: 66:[2, 11, 12], Operations: ['96-84=12']
Exploring Operation: 12/2=6, Resulting Numbers: [11, 6]
Generated Node #3: [11, 6] from Operation: 12/2=6
Current State: 66:[11, 6], Operations: ['96-84=12', '12/2=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
52,
44,
1,
5
] | 90 | [
"52+44=96",
"1+5=6",
"96-6=90"
] | Current State: 90:[52, 44, 1, 5], Operations: []
Exploring Operation: 52+44=96, Resulting Numbers: [1, 5, 96]
Generated Node #2: [1, 5, 96] from Operation: 52+44=96
Current State: 90:[1, 5, 96], Operations: ['52+44=96']
Exploring Operation: 1+5=6, Resulting Numbers: [96, 6]
Generated Node #3: [96, 6] from Operation: 1+5=6
Current State: 90:[96, 6], Operations: ['52+44=96', '1+5=6']
Exploring Operation: 96-6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
3,
5,
96,
60
] | 99 | [
"5+60=65",
"3*65=195",
"195-96=99"
] | Current State: 99:[3, 5, 96, 60], Operations: []
Exploring Operation: 5+60=65, Resulting Numbers: [3, 96, 65]
Generated Node #2: [3, 96, 65] from Operation: 5+60=65
Current State: 99:[3, 96, 65], Operations: ['5+60=65']
Exploring Operation: 3*65=195, Resulting Numbers: [96, 195]
Generated Node #3: [96, 195] from Operation: 3*65=195
Current State: 99:[96, 195], Operations: ['5+60=65', '3*65=195']
Exploring Operation: 195-96=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
20,
13,
5,
21
] | 49 | [
"20+13=33",
"21-5=16",
"33+16=49"
] | Current State: 49:[20, 13, 5, 21], Operations: []
Exploring Operation: 20+13=33, Resulting Numbers: [5, 21, 33]
Generated Node #2: [5, 21, 33] from Operation: 20+13=33
Current State: 49:[5, 21, 33], Operations: ['20+13=33']
Exploring Operation: 21-5=16, Resulting Numbers: [33, 16]
Generated Node #3: [33, 16] from Operation: 21-5=16
Current State: 49:[33, 16], Operations: ['20+13=33', '21-5=16']
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
78,
57,
95,
70
] | 19 | [
"78-70=8",
"57+95=152",
"152/8=19"
] | Current State: 19:[78, 57, 95, 70], Operations: []
Exploring Operation: 78-70=8, Resulting Numbers: [57, 95, 8]
Generated Node #2: [57, 95, 8] from Operation: 78-70=8
Current State: 19:[57, 95, 8], Operations: ['78-70=8']
Exploring Operation: 57+95=152, Resulting Numbers: [8, 152]
Generated Node #3: [8, 152] from Operation: 57+95=152
Current State: 19:[8, 152], Operations: ['78-70=8', '57+95=152']
Exploring Operation: 152/8=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
92,
16,
76,
87
] | 65 | [
"92-16=76",
"87-76=11",
"76-11=65"
] | Current State: 65:[92, 16, 76, 87], Operations: []
Exploring Operation: 92-16=76, Resulting Numbers: [76, 87, 76]
Generated Node #2: [76, 87, 76] from Operation: 92-16=76
Current State: 65:[76, 87, 76], Operations: ['92-16=76']
Exploring Operation: 87-76=11, Resulting Numbers: [11]
11,65 equal: Goal Reached
Exploring Operation: 76-11=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
7,
73,
85,
11
] | 55 | [
"7+73=80",
"85-80=5",
"11*5=55"
] | Current State: 55:[7, 73, 85, 11], Operations: []
Exploring Operation: 7+73=80, Resulting Numbers: [85, 11, 80]
Generated Node #2: [85, 11, 80] from Operation: 7+73=80
Current State: 55:[85, 11, 80], Operations: ['7+73=80']
Exploring Operation: 85-80=5, Resulting Numbers: [11, 5]
Generated Node #3: [11, 5] from Operation: 85-80=5
Current State: 55:[11, 5], Operations: ['7+73=80', '85-80=5']
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
9,
32,
44,
7
] | 75 | [
"9*7=63",
"44-32=12",
"63+12=75"
] | Current State: 75:[9, 32, 44, 7], Operations: []
Exploring Operation: 9*7=63, Resulting Numbers: [32, 44, 63]
Generated Node #2: [32, 44, 63] from Operation: 9*7=63
Current State: 75:[32, 44, 63], Operations: ['9*7=63']
Exploring Operation: 44-32=12, Resulting Numbers: [63, 12]
Generated Node #3: [63, 12] from Operation: 44-32=12
Current State: 75:[63, 12], Operations: ['9*7=63', '44-32=12']
Exploring Operation: 63+12=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
15,
37,
57,
59
] | 11 | [
"37-15=22",
"59-57=2",
"22/2=11"
] | Current State: 11:[15, 37, 57, 59], Operations: []
Exploring Operation: 37-15=22, Resulting Numbers: [57, 59, 22]
Generated Node #2: [57, 59, 22] from Operation: 37-15=22
Current State: 11:[57, 59, 22], Operations: ['37-15=22']
Exploring Operation: 59-57=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 59-57=2
Current State: 11:[22, 2], Operations: ['37-15=22', '59-57=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
46,
37,
19,
13
] | 42 | [
"46+19=65",
"65/13=5",
"37+5=42"
] | Current State: 42:[46, 37, 19, 13], Operations: []
Exploring Operation: 46+19=65, Resulting Numbers: [37, 13, 65]
Generated Node #2: [37, 13, 65] from Operation: 46+19=65
Current State: 42:[37, 13, 65], Operations: ['46+19=65']
Exploring Operation: 65/13=5, Resulting Numbers: [37, 5]
Generated Node #3: [37, 5] from Operation: 65/13=5
Current State: 42:[37, 5], Operations: ['46+19=65', '65/13=5']
Exploring Operation: 37+5=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
35,
31,
60,
35
] | 21 | [
"35-31=4",
"60-35=25",
"25-4=21"
] | Current State: 21:[35, 31, 60, 35], Operations: []
Exploring Operation: 35-31=4, Resulting Numbers: [60, 4]
Generated Node #2: [60, 4] from Operation: 35-31=4
Current State: 21:[60, 4], Operations: ['35-31=4']
Exploring Operation: 60-35=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 60-35=25
Current State: 21:[4, 25], Operations: ['35-31=4', '60-35=25']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
28,
42,
9,
11
] | 90 | [
"28+42=70",
"9+11=20",
"70+20=90"
] | Current State: 90:[28, 42, 9, 11], Operations: []
Exploring Operation: 28+42=70, Resulting Numbers: [9, 11, 70]
Generated Node #2: [9, 11, 70] from Operation: 28+42=70
Current State: 90:[9, 11, 70], Operations: ['28+42=70']
Exploring Operation: 9+11=20, Resulting Numbers: [70, 20]
Generated Node #3: [70, 20] from Operation: 9+11=20
Current State: 90:[70, 20], Operations: ['28+42=70', '9+11=20']
Exploring Operation: 70+20=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
99,
19,
7,
12
] | 100 | [
"19-7=12",
"12/12=1",
"99+1=100"
] | Current State: 100:[99, 19, 7, 12], Operations: []
Exploring Operation: 19-7=12, Resulting Numbers: [99, 12, 12]
Generated Node #2: [99, 12, 12] from Operation: 19-7=12
Current State: 100:[99, 12, 12], Operations: ['19-7=12']
Exploring Operation: 12/12=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 12/12=1
Current State: 100:[99, 1], Operations: ['19-7=12', '12/12=1']
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
95,
66,
55,
90
] | 77 | [
"95-90=5",
"55/5=11",
"66+11=77"
] | Current State: 77:[95, 66, 55, 90], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [66, 55, 5]
Generated Node #2: [66, 55, 5] from Operation: 95-90=5
Current State: 77:[66, 55, 5], Operations: ['95-90=5']
Exploring Operation: 55/5=11, Resulting Numbers: [66, 11]
Generated Node #3: [66, 11] from Operation: 55/5=11
Current State: 77:[66, 11], Operations: ['95-90=5', '55/5=11']
Exploring Operation: 66+11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
11,
75,
47,
96
] | 88 | [
"47+96=143",
"143/11=13",
"75+13=88"
] | Current State: 88:[11, 75, 47, 96], Operations: []
Exploring Operation: 47+96=143, Resulting Numbers: [11, 75, 143]
Generated Node #2: [11, 75, 143] from Operation: 47+96=143
Current State: 88:[11, 75, 143], Operations: ['47+96=143']
Exploring Operation: 143/11=13, Resulting Numbers: [75, 13]
Generated Node #3: [75, 13] from Operation: 143/11=13
Current State: 88:[75, 13], Operations: ['47+96=143', '143/11=13']
Exploring Operation: 75+13=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
19,
54,
35,
36
] | 81 | [
"19+35=54",
"54*54=2916",
"2916/36=81"
] | Current State: 81:[19, 54, 35, 36], Operations: []
Exploring Operation: 19+35=54, Resulting Numbers: [54, 36, 54]
Generated Node #2: [54, 36, 54] from Operation: 19+35=54
Current State: 81:[54, 36, 54], Operations: ['19+35=54']
Exploring Operation: 54*54=2916, Resulting Numbers: [36, 2916]
Generated Node #3: [36, 2916] from Operation: 54*54=2916
Current State: 81:[36, 2916], Operations: ['19+35=54', '54*54=2916']
Exploring Operation: 2916/36=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
39,
42,
44,
51
] | 33 | [
"51-44=7",
"42/7=6",
"39-6=33"
] | Current State: 33:[39, 42, 44, 51], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [39, 42, 7]
Generated Node #2: [39, 42, 7] from Operation: 51-44=7
Current State: 33:[39, 42, 7], Operations: ['51-44=7']
Exploring Operation: 42/7=6, Resulting Numbers: [39, 6]
Generated Node #3: [39, 6] from Operation: 42/7=6
Current State: 33:[39, 6], Operations: ['51-44=7', '42/7=6']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
61,
70,
57,
67
] | 90 | [
"70-61=9",
"67-57=10",
"9*10=90"
] | Current State: 90:[61, 70, 57, 67], Operations: []
Exploring Operation: 70-61=9, Resulting Numbers: [57, 67, 9]
Generated Node #2: [57, 67, 9] from Operation: 70-61=9
Current State: 90:[57, 67, 9], Operations: ['70-61=9']
Exploring Operation: 67-57=10, Resulting Numbers: [9, 10]
Generated Node #3: [9, 10] from Operation: 67-57=10
Current State: 90:[9, 10], Operations: ['70-61=9', '67-57=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
57,
1,
29,
14
] | 72 | [
"57*1=57",
"29-14=15",
"57+15=72"
] | Current State: 72:[57, 1, 29, 14], Operations: []
Exploring Operation: 57*1=57, Resulting Numbers: [29, 14, 57]
Generated Node #2: [29, 14, 57] from Operation: 57*1=57
Current State: 72:[29, 14, 57], Operations: ['57*1=57']
Exploring Operation: 29-14=15, Resulting Numbers: [57, 15]
Generated Node #3: [57, 15] from Operation: 29-14=15
Current State: 72:[57, 15], Operations: ['57*1=57', '29-14=15']
Exploring Operation: 57+15=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
13,
19,
20,
18
] | 11 | [
"20+18=38",
"38/19=2",
"13-2=11"
] | Current State: 11:[13, 19, 20, 18], Operations: []
Exploring Operation: 20+18=38, Resulting Numbers: [13, 19, 38]
Generated Node #2: [13, 19, 38] from Operation: 20+18=38
Current State: 11:[13, 19, 38], Operations: ['20+18=38']
Exploring Operation: 38/19=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 38/19=2
Current State: 11:[13, 2], Operations: ['20+18=38', '38/19=2']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
76,
14,
82,
19
] | 11 | [
"76+14=90",
"82+19=101",
"101-90=11"
] | Current State: 11:[76, 14, 82, 19], Operations: []
Exploring Operation: 76+14=90, Resulting Numbers: [82, 19, 90]
Generated Node #2: [82, 19, 90] from Operation: 76+14=90
Current State: 11:[82, 19, 90], Operations: ['76+14=90']
Exploring Operation: 82+19=101, Resulting Numbers: [90, 101]
Generated Node #3: [90, 101] from Operation: 82+19=101
Current State: 11:[90, 101], Operations: ['76+14=90', '82+19=101']
Exploring Operation: 101-90=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
50,
39,
93,
12
] | 94 | [
"50-39=11",
"93+12=105",
"105-11=94"
] | Current State: 94:[50, 39, 93, 12], Operations: []
Exploring Operation: 50-39=11, Resulting Numbers: [93, 12, 11]
Generated Node #2: [93, 12, 11] from Operation: 50-39=11
Current State: 94:[93, 12, 11], Operations: ['50-39=11']
Exploring Operation: 93+12=105, Resulting Numbers: [11, 105]
Generated Node #3: [11, 105] from Operation: 93+12=105
Current State: 94:[11, 105], Operations: ['50-39=11', '93+12=105']
Exploring Operation: 105-11=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
99,
7,
42,
15
] | 79 | [
"99+7=106",
"42-15=27",
"106-27=79"
] | Current State: 79:[99, 7, 42, 15], Operations: []
Exploring Operation: 99+7=106, Resulting Numbers: [42, 15, 106]
Generated Node #2: [42, 15, 106] from Operation: 99+7=106
Current State: 79:[42, 15, 106], Operations: ['99+7=106']
Exploring Operation: 42-15=27, Resulting Numbers: [106, 27]
Generated Node #3: [106, 27] from Operation: 42-15=27
Current State: 79:[106, 27], Operations: ['99+7=106', '42-15=27']
Exploring Operation: 106-27=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
69,
55,
8,
49
] | 83 | [
"69+55=124",
"49-8=41",
"124-41=83"
] | Current State: 83:[69, 55, 8, 49], Operations: []
Exploring Operation: 69+55=124, Resulting Numbers: [8, 49, 124]
Generated Node #2: [8, 49, 124] from Operation: 69+55=124
Current State: 83:[8, 49, 124], Operations: ['69+55=124']
Exploring Operation: 49-8=41, Resulting Numbers: [124, 41]
Generated Node #3: [124, 41] from Operation: 49-8=41
Current State: 83:[124, 41], Operations: ['69+55=124', '49-8=41']
Exploring Operation: 124-41=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
98,
10,
8,
25
] | 72 | [
"25-8=17",
"10*17=170",
"170-98=72"
] | Current State: 72:[98, 10, 8, 25], Operations: []
Exploring Operation: 25-8=17, Resulting Numbers: [98, 10, 17]
Generated Node #2: [98, 10, 17] from Operation: 25-8=17
Current State: 72:[98, 10, 17], Operations: ['25-8=17']
Exploring Operation: 10*17=170, Resulting Numbers: [98, 170]
Generated Node #3: [98, 170] from Operation: 10*17=170
Current State: 72:[98, 170], Operations: ['25-8=17', '10*17=170']
Exploring Operation: 170-98=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
31,
62,
64,
85
] | 10 | [
"62-31=31",
"85-64=21",
"31-21=10"
] | Current State: 10:[31, 62, 64, 85], Operations: []
Exploring Operation: 62-31=31, Resulting Numbers: [64, 85, 31]
Generated Node #2: [64, 85, 31] from Operation: 62-31=31
Current State: 10:[64, 85, 31], Operations: ['62-31=31']
Exploring Operation: 85-64=21, Resulting Numbers: [31, 21]
Generated Node #3: [31, 21] from Operation: 85-64=21
Current State: 10:[31, 21], Operations: ['62-31=31', '85-64=21']
Exploring Operation: 31-21=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
21,
43,
11,
46
] | 18 | [
"46-43=3",
"21/3=7",
"11+7=18"
] | Current State: 18:[21, 43, 11, 46], Operations: []
Exploring Operation: 46-43=3, Resulting Numbers: [21, 11, 3]
Generated Node #2: [21, 11, 3] from Operation: 46-43=3
Current State: 18:[21, 11, 3], Operations: ['46-43=3']
Exploring Operation: 21/3=7, Resulting Numbers: [11, 7]
Generated Node #3: [11, 7] from Operation: 21/3=7
Current State: 18:[11, 7], Operations: ['46-43=3', '21/3=7']
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
4,
14,
17,
47
] | 64 | [
"14+17=31",
"47-31=16",
"4*16=64"
] | Current State: 64:[4, 14, 17, 47], Operations: []
Exploring Operation: 14+17=31, Resulting Numbers: [4, 47, 31]
Generated Node #2: [4, 47, 31] from Operation: 14+17=31
Current State: 64:[4, 47, 31], Operations: ['14+17=31']
Exploring Operation: 47-31=16, Resulting Numbers: [4, 16]
Generated Node #3: [4, 16] from Operation: 47-31=16
Current State: 64:[4, 16], Operations: ['14+17=31', '47-31=16']
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
81,
23,
86,
95
] | 49 | [
"81-23=58",
"95-86=9",
"58-9=49"
] | Current State: 49:[81, 23, 86, 95], Operations: []
Exploring Operation: 81-23=58, Resulting Numbers: [86, 95, 58]
Generated Node #2: [86, 95, 58] from Operation: 81-23=58
Current State: 49:[86, 95, 58], Operations: ['81-23=58']
Exploring Operation: 95-86=9, Resulting Numbers: [58, 9]
Generated Node #3: [58, 9] from Operation: 95-86=9
Current State: 49:[58, 9], Operations: ['81-23=58', '95-86=9']
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
70,
55,
72,
63
] | 61 | [
"63-55=8",
"72/8=9",
"70-9=61"
] | Current State: 61:[70, 55, 72, 63], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [70, 72, 8]
Generated Node #2: [70, 72, 8] from Operation: 63-55=8
Current State: 61:[70, 72, 8], Operations: ['63-55=8']
Exploring Operation: 72/8=9, Resulting Numbers: [70, 9]
Generated Node #3: [70, 9] from Operation: 72/8=9
Current State: 61:[70, 9], Operations: ['63-55=8', '72/8=9']
Exploring Operation: 70-9=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
88,
52,
80,
48
] | 26 | [
"88-48=40",
"52*40=2080",
"2080/80=26"
] | Current State: 26:[88, 52, 80, 48], Operations: []
Exploring Operation: 88-48=40, Resulting Numbers: [52, 80, 40]
Generated Node #2: [52, 80, 40] from Operation: 88-48=40
Current State: 26:[52, 80, 40], Operations: ['88-48=40']
Exploring Operation: 52*40=2080, Resulting Numbers: [80, 2080]
Generated Node #3: [80, 2080] from Operation: 52*40=2080
Current State: 26:[80, 2080], Operations: ['88-48=40', '52*40=2080']
Exploring Operation: 2080/80=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
29,
6,
24,
21
] | 94 | [
"29+21=50",
"6*24=144",
"144-50=94"
] | Current State: 94:[29, 6, 24, 21], Operations: []
Exploring Operation: 29+21=50, Resulting Numbers: [6, 24, 50]
Generated Node #2: [6, 24, 50] from Operation: 29+21=50
Current State: 94:[6, 24, 50], Operations: ['29+21=50']
Exploring Operation: 6*24=144, Resulting Numbers: [50, 144]
Generated Node #3: [50, 144] from Operation: 6*24=144
Current State: 94:[50, 144], Operations: ['29+21=50', '6*24=144']
Exploring Operation: 144-50=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
9,
66,
55,
5
] | 70 | [
"9+66=75",
"75/5=15",
"55+15=70"
] | Current State: 70:[9, 66, 55, 5], Operations: []
Exploring Operation: 9+66=75, Resulting Numbers: [55, 5, 75]
Generated Node #2: [55, 5, 75] from Operation: 9+66=75
Current State: 70:[55, 5, 75], Operations: ['9+66=75']
Exploring Operation: 75/5=15, Resulting Numbers: [55, 15]
Generated Node #3: [55, 15] from Operation: 75/5=15
Current State: 70:[55, 15], Operations: ['9+66=75', '75/5=15']
Exploring Operation: 55+15=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
24,
9,
26,
64
] | 23 | [
"24-9=15",
"64-26=38",
"38-15=23"
] | Current State: 23:[24, 9, 26, 64], Operations: []
Exploring Operation: 24-9=15, Resulting Numbers: [26, 64, 15]
Generated Node #2: [26, 64, 15] from Operation: 24-9=15
Current State: 23:[26, 64, 15], Operations: ['24-9=15']
Exploring Operation: 64-26=38, Resulting Numbers: [15, 38]
Generated Node #3: [15, 38] from Operation: 64-26=38
Current State: 23:[15, 38], Operations: ['24-9=15', '64-26=38']
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
82,
50,
62,
75
] | 45 | [
"82-50=32",
"75-62=13",
"32+13=45"
] | Current State: 45:[82, 50, 62, 75], Operations: []
Exploring Operation: 82-50=32, Resulting Numbers: [62, 75, 32]
Generated Node #2: [62, 75, 32] from Operation: 82-50=32
Current State: 45:[62, 75, 32], Operations: ['82-50=32']
Exploring Operation: 75-62=13, Resulting Numbers: [32, 13]
Generated Node #3: [32, 13] from Operation: 75-62=13
Current State: 45:[32, 13], Operations: ['82-50=32', '75-62=13']
Exploring Operation: 32+13=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
66,
99,
64,
64
] | 70 | [
"66-64=2",
"99-64=35",
"2*35=70"
] | Current State: 70:[66, 99, 64, 64], Operations: []
Exploring Operation: 66-64=2, Resulting Numbers: [99, 2]
Generated Node #2: [99, 2] from Operation: 66-64=2
Current State: 70:[99, 2], Operations: ['66-64=2']
Exploring Operation: 99-64=35, Resulting Numbers: [2, 35]
Generated Node #3: [2, 35] from Operation: 99-64=35
Current State: 70:[2, 35], Operations: ['66-64=2', '99-64=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
25,
15,
63,
60
] | 34 | [
"63-25=38",
"60/15=4",
"38-4=34"
] | Current State: 34:[25, 15, 63, 60], Operations: []
Exploring Operation: 63-25=38, Resulting Numbers: [15, 60, 38]
Generated Node #2: [15, 60, 38] from Operation: 63-25=38
Current State: 34:[15, 60, 38], Operations: ['63-25=38']
Exploring Operation: 60/15=4, Resulting Numbers: [38, 4]
Generated Node #3: [38, 4] from Operation: 60/15=4
Current State: 34:[38, 4], Operations: ['63-25=38', '60/15=4']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
90,
70,
10,
36
] | 74 | [
"90/10=9",
"36/9=4",
"70+4=74"
] | Current State: 74:[90, 70, 10, 36], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [70, 36, 9]
Generated Node #2: [70, 36, 9] from Operation: 90/10=9
Current State: 74:[70, 36, 9], Operations: ['90/10=9']
Exploring Operation: 36/9=4, Resulting Numbers: [70, 4]
Generated Node #3: [70, 4] from Operation: 36/9=4
Current State: 74:[70, 4], Operations: ['90/10=9', '36/9=4']
Exploring Operation: 70+4=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
68,
39,
63,
26
] | 39 | [
"68*39=2652",
"2652/26=102",
"102-63=39"
] | Current State: 39:[68, 39, 63, 26], Operations: []
Exploring Operation: 68*39=2652, Resulting Numbers: [63, 26, 2652]
Generated Node #2: [63, 26, 2652] from Operation: 68*39=2652
Current State: 39:[63, 26, 2652], Operations: ['68*39=2652']
Exploring Operation: 2652/26=102, Resulting Numbers: [63, 102]
Generated Node #3: [63, 102] from Operation: 2652/26=102
Current State: 39:[63, 102], Operations: ['68*39=2652', '2652/26=102']
Exploring Operation: 102-63=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
64,
35,
11,
62
] | 53 | [
"64+35=99",
"99/11=9",
"62-9=53"
] | Current State: 53:[64, 35, 11, 62], Operations: []
Exploring Operation: 64+35=99, Resulting Numbers: [11, 62, 99]
Generated Node #2: [11, 62, 99] from Operation: 64+35=99
Current State: 53:[11, 62, 99], Operations: ['64+35=99']
Exploring Operation: 99/11=9, Resulting Numbers: [62, 9]
Generated Node #3: [62, 9] from Operation: 99/11=9
Current State: 53:[62, 9], Operations: ['64+35=99', '99/11=9']
Exploring Operation: 62-9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
47,
10,
10,
33
] | 81 | [
"47+33=80",
"10/10=1",
"80+1=81"
] | Current State: 81:[47, 10, 10, 33], Operations: []
Exploring Operation: 47+33=80, Resulting Numbers: [10, 10, 80]
Generated Node #2: [10, 10, 80] from Operation: 47+33=80
Current State: 81:[10, 10, 80], Operations: ['47+33=80']
Exploring Operation: 10/10=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 10/10=1
Current State: 81:[80, 1], Operations: ['47+33=80', '10/10=1']
Exploring Operation: 80+1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
13,
2,
28,
2
] | 26 | [
"13+2=15",
"28-15=13",
"2*13=26"
] | Current State: 26:[13, 2, 28, 2], Operations: []
Exploring Operation: 13+2=15, Resulting Numbers: [28, 15]
Generated Node #2: [28, 15] from Operation: 13+2=15
Current State: 26:[28, 15], Operations: ['13+2=15']
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,26 equal: Goal Reached
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
80,
90,
36,
72
] | 100 | [
"80*72=5760",
"5760/90=64",
"36+64=100"
] | Current State: 100:[80, 90, 36, 72], Operations: []
Exploring Operation: 80*72=5760, Resulting Numbers: [90, 36, 5760]
Generated Node #2: [90, 36, 5760] from Operation: 80*72=5760
Current State: 100:[90, 36, 5760], Operations: ['80*72=5760']
Exploring Operation: 5760/90=64, Resulting Numbers: [36, 64]
Generated Node #3: [36, 64] from Operation: 5760/90=64
Current State: 100:[36, 64], Operations: ['80*72=5760', '5760/90=64']
Exploring Operation: 36+64=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
56,
42,
51,
39
] | 16 | [
"51-39=12",
"56*12=672",
"672/42=16"
] | Current State: 16:[56, 42, 51, 39], Operations: []
Exploring Operation: 51-39=12, Resulting Numbers: [56, 42, 12]
Generated Node #2: [56, 42, 12] from Operation: 51-39=12
Current State: 16:[56, 42, 12], Operations: ['51-39=12']
Exploring Operation: 56*12=672, Resulting Numbers: [42, 672]
Generated Node #3: [42, 672] from Operation: 56*12=672
Current State: 16:[42, 672], Operations: ['51-39=12', '56*12=672']
Exploring Operation: 672/42=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
87,
83,
80,
6
] | 83 | [
"87-80=7",
"7-6=1",
"83*1=83"
] | Current State: 83:[87, 83, 80, 6], Operations: []
Exploring Operation: 87-80=7, Resulting Numbers: [83, 6, 7]
Generated Node #2: [83, 6, 7] from Operation: 87-80=7
Current State: 83:[83, 6, 7], Operations: ['87-80=7']
Exploring Operation: 7-6=1, Resulting Numbers: [83, 1]
Generated Node #3: [83, 1] from Operation: 7-6=1
Current State: 83:[83, 1], Operations: ['87-80=7', '7-6=1']
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
2,
19,
53,
53
] | 21 | [
"2+19=21",
"53-53=0",
"21+0=21"
] | Current State: 21:[2, 19, 53, 53], Operations: []
Exploring Operation: 2+19=21, Resulting Numbers: [53, 53, 21]
Generated Node #2: [53, 53, 21] from Operation: 2+19=21
Current State: 21:[53, 53, 21], Operations: ['2+19=21']
Exploring Operation: 53-53=0, Resulting Numbers: [21, 0]
Generated Node #3: [21, 0] from Operation: 53-53=0
Current State: 21:[21, 0], Operations: ['2+19=21', '53-53=0']
Exploring Operation: 21+0=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
87,
56,
60,
49
] | 59 | [
"87+60=147",
"147/49=3",
"56+3=59"
] | Current State: 59:[87, 56, 60, 49], Operations: []
Exploring Operation: 87+60=147, Resulting Numbers: [56, 49, 147]
Generated Node #2: [56, 49, 147] from Operation: 87+60=147
Current State: 59:[56, 49, 147], Operations: ['87+60=147']
Exploring Operation: 147/49=3, Resulting Numbers: [56, 3]
Generated Node #3: [56, 3] from Operation: 147/49=3
Current State: 59:[56, 3], Operations: ['87+60=147', '147/49=3']
Exploring Operation: 56+3=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
91,
36,
27,
15
] | 99 | [
"91-36=55",
"27*55=1485",
"1485/15=99"
] | Current State: 99:[91, 36, 27, 15], Operations: []
Exploring Operation: 91-36=55, Resulting Numbers: [27, 15, 55]
Generated Node #2: [27, 15, 55] from Operation: 91-36=55
Current State: 99:[27, 15, 55], Operations: ['91-36=55']
Exploring Operation: 27*55=1485, Resulting Numbers: [15, 1485]
Generated Node #3: [15, 1485] from Operation: 27*55=1485
Current State: 99:[15, 1485], Operations: ['91-36=55', '27*55=1485']
Exploring Operation: 1485/15=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
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