nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
61,
63,
78,
25
] | 33 | [
"78*25=1950",
"63+1950=2013",
"2013/61=33"
] | Current State: 33:[61, 63, 78, 25], Operations: []
Exploring Operation: 78*25=1950, Resulting Numbers: [61, 63, 1950]
Generated Node #2: [61, 63, 1950] from Operation: 78*25=1950
Current State: 33:[61, 63, 1950], Operations: ['78*25=1950']
Exploring Operation: 63+1950=2013, Resulting Numbers: [61, 2013]
Generated Node #3: [61, 2013] from Operation: 63+1950=2013
Current State: 33:[61, 2013], Operations: ['78*25=1950', '63+1950=2013']
Exploring Operation: 2013/61=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
14,
30,
34,
42
] | 14 | [
"14+42=56",
"34-30=4",
"56/4=14"
] | Current State: 14:[14, 30, 34, 42], Operations: []
Exploring Operation: 14+42=56, Resulting Numbers: [30, 34, 56]
Generated Node #2: [30, 34, 56] from Operation: 14+42=56
Current State: 14:[30, 34, 56], Operations: ['14+42=56']
Exploring Operation: 34-30=4, Resulting Numbers: [56, 4]
Generated Node #3: [56, 4] from Operation: 34-30=4
Current State: 14:[56, 4], Operations: ['14+42=56', '34-30=4']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
14,
7,
6,
9
] | 55 | [
"14-6=8",
"7*9=63",
"63-8=55"
] | Current State: 55:[14, 7, 6, 9], Operations: []
Exploring Operation: 14-6=8, Resulting Numbers: [7, 9, 8]
Generated Node #2: [7, 9, 8] from Operation: 14-6=8
Current State: 55:[7, 9, 8], Operations: ['14-6=8']
Exploring Operation: 7*9=63, Resulting Numbers: [8, 63]
Generated Node #3: [8, 63] from Operation: 7*9=63
Current State: 55:[8, 63], Operations: ['14-6=8', '7*9=63']
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
88,
6,
33,
26
] | 88 | [
"33-6=27",
"27-26=1",
"88*1=88"
] | Current State: 88:[88, 6, 33, 26], Operations: []
Exploring Operation: 33-6=27, Resulting Numbers: [88, 26, 27]
Generated Node #2: [88, 26, 27] from Operation: 33-6=27
Current State: 88:[88, 26, 27], Operations: ['33-6=27']
Exploring Operation: 27-26=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 27-26=1
Current State: 88:[88, 1], Operations: ['33-6=27', '27-26=1']
Exploring Operation: 88*1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
25,
18,
64,
21
] | 86 | [
"25+18=43",
"64-21=43",
"43+43=86"
] | Current State: 86:[25, 18, 64, 21], Operations: []
Exploring Operation: 25+18=43, Resulting Numbers: [64, 21, 43]
Generated Node #2: [64, 21, 43] from Operation: 25+18=43
Current State: 86:[64, 21, 43], Operations: ['25+18=43']
Exploring Operation: 64-21=43, Resulting Numbers: [43, 43]
Generated Node #3: [43, 43] from Operation: 64-21=43
Current State: 86:[43, 43], Operations: ['25+18=43', '64-21=43']
Exploring Operation: 43+43=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
4,
33,
22,
56
] | 69 | [
"56/4=14",
"33+22=55",
"14+55=69"
] | Current State: 69:[4, 33, 22, 56], Operations: []
Exploring Operation: 56/4=14, Resulting Numbers: [33, 22, 14]
Generated Node #2: [33, 22, 14] from Operation: 56/4=14
Current State: 69:[33, 22, 14], Operations: ['56/4=14']
Exploring Operation: 33+22=55, Resulting Numbers: [14, 55]
Generated Node #3: [14, 55] from Operation: 33+22=55
Current State: 69:[14, 55], Operations: ['56/4=14', '33+22=55']
Exploring Operation: 14+55=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
42,
41,
1,
59
] | 61 | [
"42-41=1",
"1+59=60",
"1+60=61"
] | Current State: 61:[42, 41, 1, 59], Operations: []
Exploring Operation: 42-41=1, Resulting Numbers: [1, 59, 1]
Generated Node #2: [1, 59, 1] from Operation: 42-41=1
Current State: 61:[1, 59, 1], Operations: ['42-41=1']
Exploring Operation: 1+59=60, Resulting Numbers: [60]
60,61 equal: Goal Reached
Exploring Operation: 1+60=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
44,
35,
93,
39
] | 38 | [
"93+39=132",
"132/44=3",
"35+3=38"
] | Current State: 38:[44, 35, 93, 39], Operations: []
Exploring Operation: 93+39=132, Resulting Numbers: [44, 35, 132]
Generated Node #2: [44, 35, 132] from Operation: 93+39=132
Current State: 38:[44, 35, 132], Operations: ['93+39=132']
Exploring Operation: 132/44=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 132/44=3
Current State: 38:[35, 3], Operations: ['93+39=132', '132/44=3']
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
21,
14,
42,
5
] | 33 | [
"42/21=2",
"14*2=28",
"5+28=33"
] | Current State: 33:[21, 14, 42, 5], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [14, 5, 2]
Generated Node #2: [14, 5, 2] from Operation: 42/21=2
Current State: 33:[14, 5, 2], Operations: ['42/21=2']
Exploring Operation: 14*2=28, Resulting Numbers: [5, 28]
Generated Node #3: [5, 28] from Operation: 14*2=28
Current State: 33:[5, 28], Operations: ['42/21=2', '14*2=28']
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
69,
21,
70,
91
] | 48 | [
"69+91=160",
"21*160=3360",
"3360/70=48"
] | Current State: 48:[69, 21, 70, 91], Operations: []
Exploring Operation: 69+91=160, Resulting Numbers: [21, 70, 160]
Generated Node #2: [21, 70, 160] from Operation: 69+91=160
Current State: 48:[21, 70, 160], Operations: ['69+91=160']
Exploring Operation: 21*160=3360, Resulting Numbers: [70, 3360]
Generated Node #3: [70, 3360] from Operation: 21*160=3360
Current State: 48:[70, 3360], Operations: ['69+91=160', '21*160=3360']
Exploring Operation: 3360/70=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
35,
62,
76,
4
] | 99 | [
"62-35=27",
"76-4=72",
"27+72=99"
] | Current State: 99:[35, 62, 76, 4], Operations: []
Exploring Operation: 62-35=27, Resulting Numbers: [76, 4, 27]
Generated Node #2: [76, 4, 27] from Operation: 62-35=27
Current State: 99:[76, 4, 27], Operations: ['62-35=27']
Exploring Operation: 76-4=72, Resulting Numbers: [27, 72]
Generated Node #3: [27, 72] from Operation: 76-4=72
Current State: 99:[27, 72], Operations: ['62-35=27', '76-4=72']
Exploring Operation: 27+72=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
54,
56,
40,
7
] | 73 | [
"56-54=2",
"40*2=80",
"80-7=73"
] | Current State: 73:[54, 56, 40, 7], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [40, 7, 2]
Generated Node #2: [40, 7, 2] from Operation: 56-54=2
Current State: 73:[40, 7, 2], Operations: ['56-54=2']
Exploring Operation: 40*2=80, Resulting Numbers: [7, 80]
Generated Node #3: [7, 80] from Operation: 40*2=80
Current State: 73:[7, 80], Operations: ['56-54=2', '40*2=80']
Exploring Operation: 80-7=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
46,
24,
80,
18
] | 30 | [
"46+18=64",
"24*80=1920",
"1920/64=30"
] | Current State: 30:[46, 24, 80, 18], Operations: []
Exploring Operation: 46+18=64, Resulting Numbers: [24, 80, 64]
Generated Node #2: [24, 80, 64] from Operation: 46+18=64
Current State: 30:[24, 80, 64], Operations: ['46+18=64']
Exploring Operation: 24*80=1920, Resulting Numbers: [64, 1920]
Generated Node #3: [64, 1920] from Operation: 24*80=1920
Current State: 30:[64, 1920], Operations: ['46+18=64', '24*80=1920']
Exploring Operation: 1920/64=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
89,
1,
22,
26
] | 84 | [
"89-1=88",
"26-22=4",
"88-4=84"
] | Current State: 84:[89, 1, 22, 26], Operations: []
Exploring Operation: 89-1=88, Resulting Numbers: [22, 26, 88]
Generated Node #2: [22, 26, 88] from Operation: 89-1=88
Current State: 84:[22, 26, 88], Operations: ['89-1=88']
Exploring Operation: 26-22=4, Resulting Numbers: [88, 4]
Generated Node #3: [88, 4] from Operation: 26-22=4
Current State: 84:[88, 4], Operations: ['89-1=88', '26-22=4']
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
72,
28,
77,
75
] | 88 | [
"72-28=44",
"77-75=2",
"44*2=88"
] | Current State: 88:[72, 28, 77, 75], Operations: []
Exploring Operation: 72-28=44, Resulting Numbers: [77, 75, 44]
Generated Node #2: [77, 75, 44] from Operation: 72-28=44
Current State: 88:[77, 75, 44], Operations: ['72-28=44']
Exploring Operation: 77-75=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 77-75=2
Current State: 88:[44, 2], Operations: ['72-28=44', '77-75=2']
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
74,
61,
42,
95
] | 79 | [
"61-42=19",
"95/19=5",
"74+5=79"
] | Current State: 79:[74, 61, 42, 95], Operations: []
Exploring Operation: 61-42=19, Resulting Numbers: [74, 95, 19]
Generated Node #2: [74, 95, 19] from Operation: 61-42=19
Current State: 79:[74, 95, 19], Operations: ['61-42=19']
Exploring Operation: 95/19=5, Resulting Numbers: [74, 5]
Generated Node #3: [74, 5] from Operation: 95/19=5
Current State: 79:[74, 5], Operations: ['61-42=19', '95/19=5']
Exploring Operation: 74+5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
12,
87,
22,
83
] | 16 | [
"87+22=109",
"83+109=192",
"192/12=16"
] | Current State: 16:[12, 87, 22, 83], Operations: []
Exploring Operation: 87+22=109, Resulting Numbers: [12, 83, 109]
Generated Node #2: [12, 83, 109] from Operation: 87+22=109
Current State: 16:[12, 83, 109], Operations: ['87+22=109']
Exploring Operation: 83+109=192, Resulting Numbers: [12, 192]
Generated Node #3: [12, 192] from Operation: 83+109=192
Current State: 16:[12, 192], Operations: ['87+22=109', '83+109=192']
Exploring Operation: 192/12=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
12,
99,
40,
93
] | 80 | [
"12*40=480",
"99-93=6",
"480/6=80"
] | Current State: 80:[12, 99, 40, 93], Operations: []
Exploring Operation: 12*40=480, Resulting Numbers: [99, 93, 480]
Generated Node #2: [99, 93, 480] from Operation: 12*40=480
Current State: 80:[99, 93, 480], Operations: ['12*40=480']
Exploring Operation: 99-93=6, Resulting Numbers: [480, 6]
Generated Node #3: [480, 6] from Operation: 99-93=6
Current State: 80:[480, 6], Operations: ['12*40=480', '99-93=6']
Exploring Operation: 480/6=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
92,
78,
33,
77
] | 90 | [
"78*77=6006",
"6006/33=182",
"182-92=90"
] | Current State: 90:[92, 78, 33, 77], Operations: []
Exploring Operation: 78*77=6006, Resulting Numbers: [92, 33, 6006]
Generated Node #2: [92, 33, 6006] from Operation: 78*77=6006
Current State: 90:[92, 33, 6006], Operations: ['78*77=6006']
Exploring Operation: 6006/33=182, Resulting Numbers: [92, 182]
Generated Node #3: [92, 182] from Operation: 6006/33=182
Current State: 90:[92, 182], Operations: ['78*77=6006', '6006/33=182']
Exploring Operation: 182-92=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
47,
15,
53,
18
] | 88 | [
"18-15=3",
"47*3=141",
"141-53=88"
] | Current State: 88:[47, 15, 53, 18], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [47, 53, 3]
Generated Node #2: [47, 53, 3] from Operation: 18-15=3
Current State: 88:[47, 53, 3], Operations: ['18-15=3']
Exploring Operation: 47*3=141, Resulting Numbers: [53, 141]
Generated Node #3: [53, 141] from Operation: 47*3=141
Current State: 88:[53, 141], Operations: ['18-15=3', '47*3=141']
Exploring Operation: 141-53=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
76,
34,
82,
27
] | 13 | [
"76-34=42",
"82-27=55",
"55-42=13"
] | Current State: 13:[76, 34, 82, 27], Operations: []
Exploring Operation: 76-34=42, Resulting Numbers: [82, 27, 42]
Generated Node #2: [82, 27, 42] from Operation: 76-34=42
Current State: 13:[82, 27, 42], Operations: ['76-34=42']
Exploring Operation: 82-27=55, Resulting Numbers: [42, 55]
Generated Node #3: [42, 55] from Operation: 82-27=55
Current State: 13:[42, 55], Operations: ['76-34=42', '82-27=55']
Exploring Operation: 55-42=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
58,
2,
65,
71
] | 55 | [
"71-65=6",
"6/2=3",
"58-3=55"
] | Current State: 55:[58, 2, 65, 71], Operations: []
Exploring Operation: 71-65=6, Resulting Numbers: [58, 2, 6]
Generated Node #2: [58, 2, 6] from Operation: 71-65=6
Current State: 55:[58, 2, 6], Operations: ['71-65=6']
Exploring Operation: 6/2=3, Resulting Numbers: [58, 3]
Generated Node #3: [58, 3] from Operation: 6/2=3
Current State: 55:[58, 3], Operations: ['71-65=6', '6/2=3']
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
71,
12,
17,
3
] | 69 | [
"71+12=83",
"17-3=14",
"83-14=69"
] | Current State: 69:[71, 12, 17, 3], Operations: []
Exploring Operation: 71+12=83, Resulting Numbers: [17, 3, 83]
Generated Node #2: [17, 3, 83] from Operation: 71+12=83
Current State: 69:[17, 3, 83], Operations: ['71+12=83']
Exploring Operation: 17-3=14, Resulting Numbers: [83, 14]
Generated Node #3: [83, 14] from Operation: 17-3=14
Current State: 69:[83, 14], Operations: ['71+12=83', '17-3=14']
Exploring Operation: 83-14=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
44,
54,
28,
20
] | 80 | [
"54-44=10",
"28-20=8",
"10*8=80"
] | Current State: 80:[44, 54, 28, 20], Operations: []
Exploring Operation: 54-44=10, Resulting Numbers: [28, 20, 10]
Generated Node #2: [28, 20, 10] from Operation: 54-44=10
Current State: 80:[28, 20, 10], Operations: ['54-44=10']
Exploring Operation: 28-20=8, Resulting Numbers: [10, 8]
Generated Node #3: [10, 8] from Operation: 28-20=8
Current State: 80:[10, 8], Operations: ['54-44=10', '28-20=8']
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
62,
6,
91,
36
] | 63 | [
"62+91=153",
"6*36=216",
"216-153=63"
] | Current State: 63:[62, 6, 91, 36], Operations: []
Exploring Operation: 62+91=153, Resulting Numbers: [6, 36, 153]
Generated Node #2: [6, 36, 153] from Operation: 62+91=153
Current State: 63:[6, 36, 153], Operations: ['62+91=153']
Exploring Operation: 6*36=216, Resulting Numbers: [153, 216]
Generated Node #3: [153, 216] from Operation: 6*36=216
Current State: 63:[153, 216], Operations: ['62+91=153', '6*36=216']
Exploring Operation: 216-153=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
26,
73,
3,
61
] | 41 | [
"26+73=99",
"61-3=58",
"99-58=41"
] | Current State: 41:[26, 73, 3, 61], Operations: []
Exploring Operation: 26+73=99, Resulting Numbers: [3, 61, 99]
Generated Node #2: [3, 61, 99] from Operation: 26+73=99
Current State: 41:[3, 61, 99], Operations: ['26+73=99']
Exploring Operation: 61-3=58, Resulting Numbers: [99, 58]
Generated Node #3: [99, 58] from Operation: 61-3=58
Current State: 41:[99, 58], Operations: ['26+73=99', '61-3=58']
Exploring Operation: 99-58=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
93,
98,
82,
50
] | 27 | [
"98-93=5",
"82-50=32",
"32-5=27"
] | Current State: 27:[93, 98, 82, 50], Operations: []
Exploring Operation: 98-93=5, Resulting Numbers: [82, 50, 5]
Generated Node #2: [82, 50, 5] from Operation: 98-93=5
Current State: 27:[82, 50, 5], Operations: ['98-93=5']
Exploring Operation: 82-50=32, Resulting Numbers: [5, 32]
Generated Node #3: [5, 32] from Operation: 82-50=32
Current State: 27:[5, 32], Operations: ['98-93=5', '82-50=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
55,
34,
60,
41
] | 44 | [
"55*60=3300",
"34+41=75",
"3300/75=44"
] | Current State: 44:[55, 34, 60, 41], Operations: []
Exploring Operation: 55*60=3300, Resulting Numbers: [34, 41, 3300]
Generated Node #2: [34, 41, 3300] from Operation: 55*60=3300
Current State: 44:[34, 41, 3300], Operations: ['55*60=3300']
Exploring Operation: 34+41=75, Resulting Numbers: [3300, 75]
Generated Node #3: [3300, 75] from Operation: 34+41=75
Current State: 44:[3300, 75], Operations: ['55*60=3300', '34+41=75']
Exploring Operation: 3300/75=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
72,
42,
18,
29
] | 67 | [
"72+42=114",
"18+29=47",
"114-47=67"
] | Current State: 67:[72, 42, 18, 29], Operations: []
Exploring Operation: 72+42=114, Resulting Numbers: [18, 29, 114]
Generated Node #2: [18, 29, 114] from Operation: 72+42=114
Current State: 67:[18, 29, 114], Operations: ['72+42=114']
Exploring Operation: 18+29=47, Resulting Numbers: [114, 47]
Generated Node #3: [114, 47] from Operation: 18+29=47
Current State: 67:[114, 47], Operations: ['72+42=114', '18+29=47']
Exploring Operation: 114-47=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
98,
96,
33,
26
] | 61 | [
"98-96=2",
"33+26=59",
"2+59=61"
] | Current State: 61:[98, 96, 33, 26], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [33, 26, 2]
Generated Node #2: [33, 26, 2] from Operation: 98-96=2
Current State: 61:[33, 26, 2], Operations: ['98-96=2']
Exploring Operation: 33+26=59, Resulting Numbers: [2, 59]
Generated Node #3: [2, 59] from Operation: 33+26=59
Current State: 61:[2, 59], Operations: ['98-96=2', '33+26=59']
Exploring Operation: 2+59=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
62,
92,
76,
88
] | 81 | [
"92-88=4",
"76/4=19",
"62+19=81"
] | Current State: 81:[62, 92, 76, 88], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [62, 76, 4]
Generated Node #2: [62, 76, 4] from Operation: 92-88=4
Current State: 81:[62, 76, 4], Operations: ['92-88=4']
Exploring Operation: 76/4=19, Resulting Numbers: [62, 19]
Generated Node #3: [62, 19] from Operation: 76/4=19
Current State: 81:[62, 19], Operations: ['92-88=4', '76/4=19']
Exploring Operation: 62+19=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
38,
22,
24,
44
] | 60 | [
"38+24=62",
"44/22=2",
"62-2=60"
] | Current State: 60:[38, 22, 24, 44], Operations: []
Exploring Operation: 38+24=62, Resulting Numbers: [22, 44, 62]
Generated Node #2: [22, 44, 62] from Operation: 38+24=62
Current State: 60:[22, 44, 62], Operations: ['38+24=62']
Exploring Operation: 44/22=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 44/22=2
Current State: 60:[62, 2], Operations: ['38+24=62', '44/22=2']
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
71,
65,
62,
2
] | 28 | [
"71-65=6",
"62-6=56",
"56/2=28"
] | Current State: 28:[71, 65, 62, 2], Operations: []
Exploring Operation: 71-65=6, Resulting Numbers: [62, 2, 6]
Generated Node #2: [62, 2, 6] from Operation: 71-65=6
Current State: 28:[62, 2, 6], Operations: ['71-65=6']
Exploring Operation: 62-6=56, Resulting Numbers: [2, 56]
Generated Node #3: [2, 56] from Operation: 62-6=56
Current State: 28:[2, 56], Operations: ['71-65=6', '62-6=56']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
18,
61,
74,
23
] | 94 | [
"61-18=43",
"74-23=51",
"43+51=94"
] | Current State: 94:[18, 61, 74, 23], Operations: []
Exploring Operation: 61-18=43, Resulting Numbers: [74, 23, 43]
Generated Node #2: [74, 23, 43] from Operation: 61-18=43
Current State: 94:[74, 23, 43], Operations: ['61-18=43']
Exploring Operation: 74-23=51, Resulting Numbers: [43, 51]
Generated Node #3: [43, 51] from Operation: 74-23=51
Current State: 94:[43, 51], Operations: ['61-18=43', '74-23=51']
Exploring Operation: 43+51=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
45,
14,
74,
60
] | 17 | [
"45-14=31",
"74-60=14",
"31-14=17"
] | Current State: 17:[45, 14, 74, 60], Operations: []
Exploring Operation: 45-14=31, Resulting Numbers: [74, 60, 31]
Generated Node #2: [74, 60, 31] from Operation: 45-14=31
Current State: 17:[74, 60, 31], Operations: ['45-14=31']
Exploring Operation: 74-60=14, Resulting Numbers: [31, 14]
Generated Node #3: [31, 14] from Operation: 74-60=14
Current State: 17:[31, 14], Operations: ['45-14=31', '74-60=14']
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
38,
14,
78,
22
] | 34 | [
"78-22=56",
"56/14=4",
"38-4=34"
] | Current State: 34:[38, 14, 78, 22], Operations: []
Exploring Operation: 78-22=56, Resulting Numbers: [38, 14, 56]
Generated Node #2: [38, 14, 56] from Operation: 78-22=56
Current State: 34:[38, 14, 56], Operations: ['78-22=56']
Exploring Operation: 56/14=4, Resulting Numbers: [38, 4]
Generated Node #3: [38, 4] from Operation: 56/14=4
Current State: 34:[38, 4], Operations: ['78-22=56', '56/14=4']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
61,
20,
8,
5
] | 81 | [
"61-20=41",
"8*5=40",
"41+40=81"
] | Current State: 81:[61, 20, 8, 5], Operations: []
Exploring Operation: 61-20=41, Resulting Numbers: [8, 5, 41]
Generated Node #2: [8, 5, 41] from Operation: 61-20=41
Current State: 81:[8, 5, 41], Operations: ['61-20=41']
Exploring Operation: 8*5=40, Resulting Numbers: [41, 40]
Generated Node #3: [41, 40] from Operation: 8*5=40
Current State: 81:[41, 40], Operations: ['61-20=41', '8*5=40']
Exploring Operation: 41+40=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
96,
12,
7,
86
] | 15 | [
"96+12=108",
"7+86=93",
"108-93=15"
] | Current State: 15:[96, 12, 7, 86], Operations: []
Exploring Operation: 96+12=108, Resulting Numbers: [7, 86, 108]
Generated Node #2: [7, 86, 108] from Operation: 96+12=108
Current State: 15:[7, 86, 108], Operations: ['96+12=108']
Exploring Operation: 7+86=93, Resulting Numbers: [108, 93]
Generated Node #3: [108, 93] from Operation: 7+86=93
Current State: 15:[108, 93], Operations: ['96+12=108', '7+86=93']
Exploring Operation: 108-93=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
35,
40,
10,
24
] | 39 | [
"40-35=5",
"10+24=34",
"5+34=39"
] | Current State: 39:[35, 40, 10, 24], Operations: []
Exploring Operation: 40-35=5, Resulting Numbers: [10, 24, 5]
Generated Node #2: [10, 24, 5] from Operation: 40-35=5
Current State: 39:[10, 24, 5], Operations: ['40-35=5']
Exploring Operation: 10+24=34, Resulting Numbers: [5, 34]
Generated Node #3: [5, 34] from Operation: 10+24=34
Current State: 39:[5, 34], Operations: ['40-35=5', '10+24=34']
Exploring Operation: 5+34=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
58,
22,
70,
40
] | 53 | [
"70+40=110",
"110/22=5",
"58-5=53"
] | Current State: 53:[58, 22, 70, 40], Operations: []
Exploring Operation: 70+40=110, Resulting Numbers: [58, 22, 110]
Generated Node #2: [58, 22, 110] from Operation: 70+40=110
Current State: 53:[58, 22, 110], Operations: ['70+40=110']
Exploring Operation: 110/22=5, Resulting Numbers: [58, 5]
Generated Node #3: [58, 5] from Operation: 110/22=5
Current State: 53:[58, 5], Operations: ['70+40=110', '110/22=5']
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
44,
5,
97,
12
] | 27 | [
"97-12=85",
"85/5=17",
"44-17=27"
] | Current State: 27:[44, 5, 97, 12], Operations: []
Exploring Operation: 97-12=85, Resulting Numbers: [44, 5, 85]
Generated Node #2: [44, 5, 85] from Operation: 97-12=85
Current State: 27:[44, 5, 85], Operations: ['97-12=85']
Exploring Operation: 85/5=17, Resulting Numbers: [44, 17]
Generated Node #3: [44, 17] from Operation: 85/5=17
Current State: 27:[44, 17], Operations: ['97-12=85', '85/5=17']
Exploring Operation: 44-17=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
41,
30,
7,
90
] | 26 | [
"41+30=71",
"7+90=97",
"97-71=26"
] | Current State: 26:[41, 30, 7, 90], Operations: []
Exploring Operation: 41+30=71, Resulting Numbers: [7, 90, 71]
Generated Node #2: [7, 90, 71] from Operation: 41+30=71
Current State: 26:[7, 90, 71], Operations: ['41+30=71']
Exploring Operation: 7+90=97, Resulting Numbers: [71, 97]
Generated Node #3: [71, 97] from Operation: 7+90=97
Current State: 26:[71, 97], Operations: ['41+30=71', '7+90=97']
Exploring Operation: 97-71=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
51,
43,
22,
9
] | 33 | [
"51*22=1122",
"43-9=34",
"1122/34=33"
] | Current State: 33:[51, 43, 22, 9], Operations: []
Exploring Operation: 51*22=1122, Resulting Numbers: [43, 9, 1122]
Generated Node #2: [43, 9, 1122] from Operation: 51*22=1122
Current State: 33:[43, 9, 1122], Operations: ['51*22=1122']
Exploring Operation: 43-9=34, Resulting Numbers: [1122, 34]
Generated Node #3: [1122, 34] from Operation: 43-9=34
Current State: 33:[1122, 34], Operations: ['51*22=1122', '43-9=34']
Exploring Operation: 1122/34=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
72,
55,
40,
17
] | 82 | [
"72*55=3960",
"3960/40=99",
"99-17=82"
] | Current State: 82:[72, 55, 40, 17], Operations: []
Exploring Operation: 72*55=3960, Resulting Numbers: [40, 17, 3960]
Generated Node #2: [40, 17, 3960] from Operation: 72*55=3960
Current State: 82:[40, 17, 3960], Operations: ['72*55=3960']
Exploring Operation: 3960/40=99, Resulting Numbers: [17, 99]
Generated Node #3: [17, 99] from Operation: 3960/40=99
Current State: 82:[17, 99], Operations: ['72*55=3960', '3960/40=99']
Exploring Operation: 99-17=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
80,
44,
80,
40
] | 83 | [
"80/80=1",
"44+40=84",
"84-1=83"
] | Current State: 83:[80, 44, 80, 40], Operations: []
Exploring Operation: 80/80=1, Resulting Numbers: [44, 40, 1]
Generated Node #2: [44, 40, 1] from Operation: 80/80=1
Current State: 83:[44, 40, 1], Operations: ['80/80=1']
Exploring Operation: 44+40=84, Resulting Numbers: [1, 84]
Generated Node #3: [1, 84] from Operation: 44+40=84
Current State: 83:[1, 84], Operations: ['80/80=1', '44+40=84']
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
24,
87,
10,
54
] | 67 | [
"24+87=111",
"54-10=44",
"111-44=67"
] | Current State: 67:[24, 87, 10, 54], Operations: []
Exploring Operation: 24+87=111, Resulting Numbers: [10, 54, 111]
Generated Node #2: [10, 54, 111] from Operation: 24+87=111
Current State: 67:[10, 54, 111], Operations: ['24+87=111']
Exploring Operation: 54-10=44, Resulting Numbers: [111, 44]
Generated Node #3: [111, 44] from Operation: 54-10=44
Current State: 67:[111, 44], Operations: ['24+87=111', '54-10=44']
Exploring Operation: 111-44=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
15,
10,
30,
80
] | 17 | [
"10+30=40",
"80/40=2",
"15+2=17"
] | Current State: 17:[15, 10, 30, 80], Operations: []
Exploring Operation: 10+30=40, Resulting Numbers: [15, 80, 40]
Generated Node #2: [15, 80, 40] from Operation: 10+30=40
Current State: 17:[15, 80, 40], Operations: ['10+30=40']
Exploring Operation: 80/40=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 80/40=2
Current State: 17:[15, 2], Operations: ['10+30=40', '80/40=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
77,
80,
22,
38
] | 53 | [
"77*38=2926",
"2926/22=133",
"133-80=53"
] | Current State: 53:[77, 80, 22, 38], Operations: []
Exploring Operation: 77*38=2926, Resulting Numbers: [80, 22, 2926]
Generated Node #2: [80, 22, 2926] from Operation: 77*38=2926
Current State: 53:[80, 22, 2926], Operations: ['77*38=2926']
Exploring Operation: 2926/22=133, Resulting Numbers: [80, 133]
Generated Node #3: [80, 133] from Operation: 2926/22=133
Current State: 53:[80, 133], Operations: ['77*38=2926', '2926/22=133']
Exploring Operation: 133-80=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
20,
98,
39,
81
] | 13 | [
"98-20=78",
"81-78=3",
"39/3=13"
] | Current State: 13:[20, 98, 39, 81], Operations: []
Exploring Operation: 98-20=78, Resulting Numbers: [39, 81, 78]
Generated Node #2: [39, 81, 78] from Operation: 98-20=78
Current State: 13:[39, 81, 78], Operations: ['98-20=78']
Exploring Operation: 81-78=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 81-78=3
Current State: 13:[39, 3], Operations: ['98-20=78', '81-78=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
76,
48,
54,
70
] | 17 | [
"76-70=6",
"48+54=102",
"102/6=17"
] | Current State: 17:[76, 48, 54, 70], Operations: []
Exploring Operation: 76-70=6, Resulting Numbers: [48, 54, 6]
Generated Node #2: [48, 54, 6] from Operation: 76-70=6
Current State: 17:[48, 54, 6], Operations: ['76-70=6']
Exploring Operation: 48+54=102, Resulting Numbers: [6, 102]
Generated Node #3: [6, 102] from Operation: 48+54=102
Current State: 17:[6, 102], Operations: ['76-70=6', '48+54=102']
Exploring Operation: 102/6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
67,
26,
78,
31
] | 68 | [
"67-26=41",
"78+31=109",
"109-41=68"
] | Current State: 68:[67, 26, 78, 31], Operations: []
Exploring Operation: 67-26=41, Resulting Numbers: [78, 31, 41]
Generated Node #2: [78, 31, 41] from Operation: 67-26=41
Current State: 68:[78, 31, 41], Operations: ['67-26=41']
Exploring Operation: 78+31=109, Resulting Numbers: [41, 109]
Generated Node #3: [41, 109] from Operation: 78+31=109
Current State: 68:[41, 109], Operations: ['67-26=41', '78+31=109']
Exploring Operation: 109-41=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
36,
38,
6,
47
] | 59 | [
"38-36=2",
"6*2=12",
"47+12=59"
] | Current State: 59:[36, 38, 6, 47], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [6, 47, 2]
Generated Node #2: [6, 47, 2] from Operation: 38-36=2
Current State: 59:[6, 47, 2], Operations: ['38-36=2']
Exploring Operation: 6*2=12, Resulting Numbers: [47, 12]
Generated Node #3: [47, 12] from Operation: 6*2=12
Current State: 59:[47, 12], Operations: ['38-36=2', '6*2=12']
Exploring Operation: 47+12=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
91,
63,
77,
33
] | 88 | [
"91+77=168",
"33*168=5544",
"5544/63=88"
] | Current State: 88:[91, 63, 77, 33], Operations: []
Exploring Operation: 91+77=168, Resulting Numbers: [63, 33, 168]
Generated Node #2: [63, 33, 168] from Operation: 91+77=168
Current State: 88:[63, 33, 168], Operations: ['91+77=168']
Exploring Operation: 33*168=5544, Resulting Numbers: [63, 5544]
Generated Node #3: [63, 5544] from Operation: 33*168=5544
Current State: 88:[63, 5544], Operations: ['91+77=168', '33*168=5544']
Exploring Operation: 5544/63=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
12,
63,
84,
86
] | 53 | [
"63-12=51",
"86-84=2",
"51+2=53"
] | Current State: 53:[12, 63, 84, 86], Operations: []
Exploring Operation: 63-12=51, Resulting Numbers: [84, 86, 51]
Generated Node #2: [84, 86, 51] from Operation: 63-12=51
Current State: 53:[84, 86, 51], Operations: ['63-12=51']
Exploring Operation: 86-84=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 86-84=2
Current State: 53:[51, 2], Operations: ['63-12=51', '86-84=2']
Exploring Operation: 51+2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
24,
31,
76,
99
] | 78 | [
"24+31=55",
"99-76=23",
"55+23=78"
] | Current State: 78:[24, 31, 76, 99], Operations: []
Exploring Operation: 24+31=55, Resulting Numbers: [76, 99, 55]
Generated Node #2: [76, 99, 55] from Operation: 24+31=55
Current State: 78:[76, 99, 55], Operations: ['24+31=55']
Exploring Operation: 99-76=23, Resulting Numbers: [55, 23]
Generated Node #3: [55, 23] from Operation: 99-76=23
Current State: 78:[55, 23], Operations: ['24+31=55', '99-76=23']
Exploring Operation: 55+23=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
20,
97,
2,
19
] | 39 | [
"97-20=77",
"2*19=38",
"77-38=39"
] | Current State: 39:[20, 97, 2, 19], Operations: []
Exploring Operation: 97-20=77, Resulting Numbers: [2, 19, 77]
Generated Node #2: [2, 19, 77] from Operation: 97-20=77
Current State: 39:[2, 19, 77], Operations: ['97-20=77']
Exploring Operation: 2*19=38, Resulting Numbers: [77, 38]
Generated Node #3: [77, 38] from Operation: 2*19=38
Current State: 39:[77, 38], Operations: ['97-20=77', '2*19=38']
Exploring Operation: 77-38=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
18,
80,
89,
97
] | 99 | [
"89-80=9",
"18/9=2",
"97+2=99"
] | Current State: 99:[18, 80, 89, 97], Operations: []
Exploring Operation: 89-80=9, Resulting Numbers: [18, 97, 9]
Generated Node #2: [18, 97, 9] from Operation: 89-80=9
Current State: 99:[18, 97, 9], Operations: ['89-80=9']
Exploring Operation: 18/9=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 18/9=2
Current State: 99:[97, 2], Operations: ['89-80=9', '18/9=2']
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
19,
57,
41,
41
] | 19 | [
"41-41=0",
"57*0=0",
"19+0=19"
] | Current State: 19:[19, 57, 41, 41], Operations: []
Exploring Operation: 41-41=0, Resulting Numbers: [19, 57, 0]
Generated Node #2: [19, 57, 0] from Operation: 41-41=0
Current State: 19:[19, 57, 0], Operations: ['41-41=0']
Exploring Operation: 57*0=0, Resulting Numbers: [19, 0]
Generated Node #3: [19, 0] from Operation: 57*0=0
Current State: 19:[19, 0], Operations: ['41-41=0', '57*0=0']
Exploring Operation: 19+0=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
77,
11,
84,
57
] | 45 | [
"77/11=7",
"84/7=12",
"57-12=45"
] | Current State: 45:[77, 11, 84, 57], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [84, 57, 7]
Generated Node #2: [84, 57, 7] from Operation: 77/11=7
Current State: 45:[84, 57, 7], Operations: ['77/11=7']
Exploring Operation: 84/7=12, Resulting Numbers: [57, 12]
Generated Node #3: [57, 12] from Operation: 84/7=12
Current State: 45:[57, 12], Operations: ['77/11=7', '84/7=12']
Exploring Operation: 57-12=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
60,
55,
12,
17
] | 34 | [
"60-55=5",
"12+17=29",
"5+29=34"
] | Current State: 34:[60, 55, 12, 17], Operations: []
Exploring Operation: 60-55=5, Resulting Numbers: [12, 17, 5]
Generated Node #2: [12, 17, 5] from Operation: 60-55=5
Current State: 34:[12, 17, 5], Operations: ['60-55=5']
Exploring Operation: 12+17=29, Resulting Numbers: [5, 29]
Generated Node #3: [5, 29] from Operation: 12+17=29
Current State: 34:[5, 29], Operations: ['60-55=5', '12+17=29']
Exploring Operation: 5+29=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
53,
5,
55,
24
] | 14 | [
"55-53=2",
"5*2=10",
"24-10=14"
] | Current State: 14:[53, 5, 55, 24], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [5, 24, 2]
Generated Node #2: [5, 24, 2] from Operation: 55-53=2
Current State: 14:[5, 24, 2], Operations: ['55-53=2']
Exploring Operation: 5*2=10, Resulting Numbers: [24, 10]
Generated Node #3: [24, 10] from Operation: 5*2=10
Current State: 14:[24, 10], Operations: ['55-53=2', '5*2=10']
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
88,
78,
7,
59
] | 62 | [
"88-78=10",
"59-7=52",
"10+52=62"
] | Current State: 62:[88, 78, 7, 59], Operations: []
Exploring Operation: 88-78=10, Resulting Numbers: [7, 59, 10]
Generated Node #2: [7, 59, 10] from Operation: 88-78=10
Current State: 62:[7, 59, 10], Operations: ['88-78=10']
Exploring Operation: 59-7=52, Resulting Numbers: [10, 52]
Generated Node #3: [10, 52] from Operation: 59-7=52
Current State: 62:[10, 52], Operations: ['88-78=10', '59-7=52']
Exploring Operation: 10+52=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
98,
14,
3,
36
] | 79 | [
"98+14=112",
"36-3=33",
"112-33=79"
] | Current State: 79:[98, 14, 3, 36], Operations: []
Exploring Operation: 98+14=112, Resulting Numbers: [3, 36, 112]
Generated Node #2: [3, 36, 112] from Operation: 98+14=112
Current State: 79:[3, 36, 112], Operations: ['98+14=112']
Exploring Operation: 36-3=33, Resulting Numbers: [112, 33]
Generated Node #3: [112, 33] from Operation: 36-3=33
Current State: 79:[112, 33], Operations: ['98+14=112', '36-3=33']
Exploring Operation: 112-33=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
12,
43,
12,
92
] | 73 | [
"43-12=31",
"12+92=104",
"104-31=73"
] | Current State: 73:[12, 43, 12, 92], Operations: []
Exploring Operation: 43-12=31, Resulting Numbers: [92, 31]
Generated Node #2: [92, 31] from Operation: 43-12=31
Current State: 73:[92, 31], Operations: ['43-12=31']
Exploring Operation: 12+92=104, Resulting Numbers: [31, 104]
Generated Node #3: [31, 104] from Operation: 12+92=104
Current State: 73:[31, 104], Operations: ['43-12=31', '12+92=104']
Exploring Operation: 104-31=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
26,
39,
43,
20
] | 36 | [
"39-26=13",
"43-20=23",
"13+23=36"
] | Current State: 36:[26, 39, 43, 20], Operations: []
Exploring Operation: 39-26=13, Resulting Numbers: [43, 20, 13]
Generated Node #2: [43, 20, 13] from Operation: 39-26=13
Current State: 36:[43, 20, 13], Operations: ['39-26=13']
Exploring Operation: 43-20=23, Resulting Numbers: [13, 23]
Generated Node #3: [13, 23] from Operation: 43-20=23
Current State: 36:[13, 23], Operations: ['39-26=13', '43-20=23']
Exploring Operation: 13+23=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
92,
23,
26,
22
] | 20 | [
"92-26=66",
"66/22=3",
"23-3=20"
] | Current State: 20:[92, 23, 26, 22], Operations: []
Exploring Operation: 92-26=66, Resulting Numbers: [23, 22, 66]
Generated Node #2: [23, 22, 66] from Operation: 92-26=66
Current State: 20:[23, 22, 66], Operations: ['92-26=66']
Exploring Operation: 66/22=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 66/22=3
Current State: 20:[23, 3], Operations: ['92-26=66', '66/22=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
68,
87,
41,
65
] | 36 | [
"68-65=3",
"41*3=123",
"123-87=36"
] | Current State: 36:[68, 87, 41, 65], Operations: []
Exploring Operation: 68-65=3, Resulting Numbers: [87, 41, 3]
Generated Node #2: [87, 41, 3] from Operation: 68-65=3
Current State: 36:[87, 41, 3], Operations: ['68-65=3']
Exploring Operation: 41*3=123, Resulting Numbers: [87, 123]
Generated Node #3: [87, 123] from Operation: 41*3=123
Current State: 36:[87, 123], Operations: ['68-65=3', '41*3=123']
Exploring Operation: 123-87=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
40,
56,
2,
19
] | 56 | [
"40/2=20",
"20-19=1",
"56*1=56"
] | Current State: 56:[40, 56, 2, 19], Operations: []
Exploring Operation: 40/2=20, Resulting Numbers: [56, 19, 20]
Generated Node #2: [56, 19, 20] from Operation: 40/2=20
Current State: 56:[56, 19, 20], Operations: ['40/2=20']
Exploring Operation: 20-19=1, Resulting Numbers: [56, 1]
Generated Node #3: [56, 1] from Operation: 20-19=1
Current State: 56:[56, 1], Operations: ['40/2=20', '20-19=1']
Exploring Operation: 56*1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
49,
54,
40,
6
] | 21 | [
"49*6=294",
"54-40=14",
"294/14=21"
] | Current State: 21:[49, 54, 40, 6], Operations: []
Exploring Operation: 49*6=294, Resulting Numbers: [54, 40, 294]
Generated Node #2: [54, 40, 294] from Operation: 49*6=294
Current State: 21:[54, 40, 294], Operations: ['49*6=294']
Exploring Operation: 54-40=14, Resulting Numbers: [294, 14]
Generated Node #3: [294, 14] from Operation: 54-40=14
Current State: 21:[294, 14], Operations: ['49*6=294', '54-40=14']
Exploring Operation: 294/14=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
34,
15,
19,
38
] | 41 | [
"38-34=4",
"15*4=60",
"60-19=41"
] | Current State: 41:[34, 15, 19, 38], Operations: []
Exploring Operation: 38-34=4, Resulting Numbers: [15, 19, 4]
Generated Node #2: [15, 19, 4] from Operation: 38-34=4
Current State: 41:[15, 19, 4], Operations: ['38-34=4']
Exploring Operation: 15*4=60, Resulting Numbers: [19, 60]
Generated Node #3: [19, 60] from Operation: 15*4=60
Current State: 41:[19, 60], Operations: ['38-34=4', '15*4=60']
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
76,
43,
73,
3
] | 43 | [
"76+43=119",
"73+3=76",
"119-76=43"
] | Current State: 43:[76, 43, 73, 3], Operations: []
Exploring Operation: 76+43=119, Resulting Numbers: [73, 3, 119]
Generated Node #2: [73, 3, 119] from Operation: 76+43=119
Current State: 43:[73, 3, 119], Operations: ['76+43=119']
Exploring Operation: 73+3=76, Resulting Numbers: [119, 76]
Generated Node #3: [119, 76] from Operation: 73+3=76
Current State: 43:[119, 76], Operations: ['76+43=119', '73+3=76']
Exploring Operation: 119-76=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
32,
80,
16,
44
] | 22 | [
"32*44=1408",
"80-16=64",
"1408/64=22"
] | Current State: 22:[32, 80, 16, 44], Operations: []
Exploring Operation: 32*44=1408, Resulting Numbers: [80, 16, 1408]
Generated Node #2: [80, 16, 1408] from Operation: 32*44=1408
Current State: 22:[80, 16, 1408], Operations: ['32*44=1408']
Exploring Operation: 80-16=64, Resulting Numbers: [1408, 64]
Generated Node #3: [1408, 64] from Operation: 80-16=64
Current State: 22:[1408, 64], Operations: ['32*44=1408', '80-16=64']
Exploring Operation: 1408/64=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
74,
66,
81,
70
] | 76 | [
"81-74=7",
"70/7=10",
"66+10=76"
] | Current State: 76:[74, 66, 81, 70], Operations: []
Exploring Operation: 81-74=7, Resulting Numbers: [66, 70, 7]
Generated Node #2: [66, 70, 7] from Operation: 81-74=7
Current State: 76:[66, 70, 7], Operations: ['81-74=7']
Exploring Operation: 70/7=10, Resulting Numbers: [66, 10]
Generated Node #3: [66, 10] from Operation: 70/7=10
Current State: 76:[66, 10], Operations: ['81-74=7', '70/7=10']
Exploring Operation: 66+10=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
42,
1,
40,
83
] | 80 | [
"42+1=43",
"40+83=123",
"123-43=80"
] | Current State: 80:[42, 1, 40, 83], Operations: []
Exploring Operation: 42+1=43, Resulting Numbers: [40, 83, 43]
Generated Node #2: [40, 83, 43] from Operation: 42+1=43
Current State: 80:[40, 83, 43], Operations: ['42+1=43']
Exploring Operation: 40+83=123, Resulting Numbers: [43, 123]
Generated Node #3: [43, 123] from Operation: 40+83=123
Current State: 80:[43, 123], Operations: ['42+1=43', '40+83=123']
Exploring Operation: 123-43=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
83,
28,
63,
77
] | 85 | [
"83-28=55",
"63+77=140",
"140-55=85"
] | Current State: 85:[83, 28, 63, 77], Operations: []
Exploring Operation: 83-28=55, Resulting Numbers: [63, 77, 55]
Generated Node #2: [63, 77, 55] from Operation: 83-28=55
Current State: 85:[63, 77, 55], Operations: ['83-28=55']
Exploring Operation: 63+77=140, Resulting Numbers: [55, 140]
Generated Node #3: [55, 140] from Operation: 63+77=140
Current State: 85:[55, 140], Operations: ['83-28=55', '63+77=140']
Exploring Operation: 140-55=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
33,
11,
31,
60
] | 73 | [
"33+11=44",
"60-31=29",
"44+29=73"
] | Current State: 73:[33, 11, 31, 60], Operations: []
Exploring Operation: 33+11=44, Resulting Numbers: [31, 60, 44]
Generated Node #2: [31, 60, 44] from Operation: 33+11=44
Current State: 73:[31, 60, 44], Operations: ['33+11=44']
Exploring Operation: 60-31=29, Resulting Numbers: [44, 29]
Generated Node #3: [44, 29] from Operation: 60-31=29
Current State: 73:[44, 29], Operations: ['33+11=44', '60-31=29']
Exploring Operation: 44+29=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
22,
69,
84,
82
] | 94 | [
"69-22=47",
"84-82=2",
"47*2=94"
] | Current State: 94:[22, 69, 84, 82], Operations: []
Exploring Operation: 69-22=47, Resulting Numbers: [84, 82, 47]
Generated Node #2: [84, 82, 47] from Operation: 69-22=47
Current State: 94:[84, 82, 47], Operations: ['69-22=47']
Exploring Operation: 84-82=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 84-82=2
Current State: 94:[47, 2], Operations: ['69-22=47', '84-82=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
66,
3,
63,
38
] | 47 | [
"66/3=22",
"63-38=25",
"22+25=47"
] | Current State: 47:[66, 3, 63, 38], Operations: []
Exploring Operation: 66/3=22, Resulting Numbers: [63, 38, 22]
Generated Node #2: [63, 38, 22] from Operation: 66/3=22
Current State: 47:[63, 38, 22], Operations: ['66/3=22']
Exploring Operation: 63-38=25, Resulting Numbers: [22, 25]
Generated Node #3: [22, 25] from Operation: 63-38=25
Current State: 47:[22, 25], Operations: ['66/3=22', '63-38=25']
Exploring Operation: 22+25=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
16,
82,
77,
79
] | 74 | [
"79-77=2",
"16/2=8",
"82-8=74"
] | Current State: 74:[16, 82, 77, 79], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [16, 82, 2]
Generated Node #2: [16, 82, 2] from Operation: 79-77=2
Current State: 74:[16, 82, 2], Operations: ['79-77=2']
Exploring Operation: 16/2=8, Resulting Numbers: [82, 8]
Generated Node #3: [82, 8] from Operation: 16/2=8
Current State: 74:[82, 8], Operations: ['79-77=2', '16/2=8']
Exploring Operation: 82-8=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
34,
94,
25,
62
] | 97 | [
"94-34=60",
"62-25=37",
"60+37=97"
] | Current State: 97:[34, 94, 25, 62], Operations: []
Exploring Operation: 94-34=60, Resulting Numbers: [25, 62, 60]
Generated Node #2: [25, 62, 60] from Operation: 94-34=60
Current State: 97:[25, 62, 60], Operations: ['94-34=60']
Exploring Operation: 62-25=37, Resulting Numbers: [60, 37]
Generated Node #3: [60, 37] from Operation: 62-25=37
Current State: 97:[60, 37], Operations: ['94-34=60', '62-25=37']
Exploring Operation: 60+37=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
57,
21,
39,
90
] | 26 | [
"57-39=18",
"90/18=5",
"21+5=26"
] | Current State: 26:[57, 21, 39, 90], Operations: []
Exploring Operation: 57-39=18, Resulting Numbers: [21, 90, 18]
Generated Node #2: [21, 90, 18] from Operation: 57-39=18
Current State: 26:[21, 90, 18], Operations: ['57-39=18']
Exploring Operation: 90/18=5, Resulting Numbers: [21, 5]
Generated Node #3: [21, 5] from Operation: 90/18=5
Current State: 26:[21, 5], Operations: ['57-39=18', '90/18=5']
Exploring Operation: 21+5=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
49,
61,
84,
31
] | 65 | [
"61-49=12",
"84-31=53",
"12+53=65"
] | Current State: 65:[49, 61, 84, 31], Operations: []
Exploring Operation: 61-49=12, Resulting Numbers: [84, 31, 12]
Generated Node #2: [84, 31, 12] from Operation: 61-49=12
Current State: 65:[84, 31, 12], Operations: ['61-49=12']
Exploring Operation: 84-31=53, Resulting Numbers: [12, 53]
Generated Node #3: [12, 53] from Operation: 84-31=53
Current State: 65:[12, 53], Operations: ['61-49=12', '84-31=53']
Exploring Operation: 12+53=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
2,
81,
32,
11
] | 41 | [
"11-2=9",
"81/9=9",
"32+9=41"
] | Current State: 41:[2, 81, 32, 11], Operations: []
Exploring Operation: 11-2=9, Resulting Numbers: [81, 32, 9]
Generated Node #2: [81, 32, 9] from Operation: 11-2=9
Current State: 41:[81, 32, 9], Operations: ['11-2=9']
Exploring Operation: 81/9=9, Resulting Numbers: [32, 9]
Generated Node #3: [32, 9] from Operation: 81/9=9
Current State: 41:[32, 9], Operations: ['11-2=9', '81/9=9']
Exploring Operation: 32+9=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
14,
16,
33,
24
] | 42 | [
"16-14=2",
"33*2=66",
"66-24=42"
] | Current State: 42:[14, 16, 33, 24], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [33, 24, 2]
Generated Node #2: [33, 24, 2] from Operation: 16-14=2
Current State: 42:[33, 24, 2], Operations: ['16-14=2']
Exploring Operation: 33*2=66, Resulting Numbers: [24, 66]
Generated Node #3: [24, 66] from Operation: 33*2=66
Current State: 42:[24, 66], Operations: ['16-14=2', '33*2=66']
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
68,
18,
10,
56
] | 40 | [
"68+18=86",
"56-10=46",
"86-46=40"
] | Current State: 40:[68, 18, 10, 56], Operations: []
Exploring Operation: 68+18=86, Resulting Numbers: [10, 56, 86]
Generated Node #2: [10, 56, 86] from Operation: 68+18=86
Current State: 40:[10, 56, 86], Operations: ['68+18=86']
Exploring Operation: 56-10=46, Resulting Numbers: [86, 46]
Generated Node #3: [86, 46] from Operation: 56-10=46
Current State: 40:[86, 46], Operations: ['68+18=86', '56-10=46']
Exploring Operation: 86-46=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
6,
26,
60,
35
] | 81 | [
"60*35=2100",
"6+2100=2106",
"2106/26=81"
] | Current State: 81:[6, 26, 60, 35], Operations: []
Exploring Operation: 60*35=2100, Resulting Numbers: [6, 26, 2100]
Generated Node #2: [6, 26, 2100] from Operation: 60*35=2100
Current State: 81:[6, 26, 2100], Operations: ['60*35=2100']
Exploring Operation: 6+2100=2106, Resulting Numbers: [26, 2106]
Generated Node #3: [26, 2106] from Operation: 6+2100=2106
Current State: 81:[26, 2106], Operations: ['60*35=2100', '6+2100=2106']
Exploring Operation: 2106/26=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
95,
62,
81,
41
] | 46 | [
"81-62=19",
"95/19=5",
"41+5=46"
] | Current State: 46:[95, 62, 81, 41], Operations: []
Exploring Operation: 81-62=19, Resulting Numbers: [95, 41, 19]
Generated Node #2: [95, 41, 19] from Operation: 81-62=19
Current State: 46:[95, 41, 19], Operations: ['81-62=19']
Exploring Operation: 95/19=5, Resulting Numbers: [41, 5]
Generated Node #3: [41, 5] from Operation: 95/19=5
Current State: 46:[41, 5], Operations: ['81-62=19', '95/19=5']
Exploring Operation: 41+5=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
44,
20,
32,
8
] | 35 | [
"44-20=24",
"24/8=3",
"32+3=35"
] | Current State: 35:[44, 20, 32, 8], Operations: []
Exploring Operation: 44-20=24, Resulting Numbers: [32, 8, 24]
Generated Node #2: [32, 8, 24] from Operation: 44-20=24
Current State: 35:[32, 8, 24], Operations: ['44-20=24']
Exploring Operation: 24/8=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 24/8=3
Current State: 35:[32, 3], Operations: ['44-20=24', '24/8=3']
Exploring Operation: 32+3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
23,
42,
73,
55
] | 37 | [
"42-23=19",
"73-55=18",
"19+18=37"
] | Current State: 37:[23, 42, 73, 55], Operations: []
Exploring Operation: 42-23=19, Resulting Numbers: [73, 55, 19]
Generated Node #2: [73, 55, 19] from Operation: 42-23=19
Current State: 37:[73, 55, 19], Operations: ['42-23=19']
Exploring Operation: 73-55=18, Resulting Numbers: [19, 18]
Generated Node #3: [19, 18] from Operation: 73-55=18
Current State: 37:[19, 18], Operations: ['42-23=19', '73-55=18']
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
56,
96,
63,
32
] | 21 | [
"63-56=7",
"96/32=3",
"7*3=21"
] | Current State: 21:[56, 96, 63, 32], Operations: []
Exploring Operation: 63-56=7, Resulting Numbers: [96, 32, 7]
Generated Node #2: [96, 32, 7] from Operation: 63-56=7
Current State: 21:[96, 32, 7], Operations: ['63-56=7']
Exploring Operation: 96/32=3, Resulting Numbers: [7, 3]
Generated Node #3: [7, 3] from Operation: 96/32=3
Current State: 21:[7, 3], Operations: ['63-56=7', '96/32=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
58,
96,
94,
83
] | 49 | [
"96-58=38",
"94-83=11",
"38+11=49"
] | Current State: 49:[58, 96, 94, 83], Operations: []
Exploring Operation: 96-58=38, Resulting Numbers: [94, 83, 38]
Generated Node #2: [94, 83, 38] from Operation: 96-58=38
Current State: 49:[94, 83, 38], Operations: ['96-58=38']
Exploring Operation: 94-83=11, Resulting Numbers: [38, 11]
Generated Node #3: [38, 11] from Operation: 94-83=11
Current State: 49:[38, 11], Operations: ['96-58=38', '94-83=11']
Exploring Operation: 38+11=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
88,
78,
52,
92
] | 40 | [
"88*78=6864",
"6864/52=132",
"132-92=40"
] | Current State: 40:[88, 78, 52, 92], Operations: []
Exploring Operation: 88*78=6864, Resulting Numbers: [52, 92, 6864]
Generated Node #2: [52, 92, 6864] from Operation: 88*78=6864
Current State: 40:[52, 92, 6864], Operations: ['88*78=6864']
Exploring Operation: 6864/52=132, Resulting Numbers: [92, 132]
Generated Node #3: [92, 132] from Operation: 6864/52=132
Current State: 40:[92, 132], Operations: ['88*78=6864', '6864/52=132']
Exploring Operation: 132-92=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
91,
93,
81,
43
] | 36 | [
"93-91=2",
"81-43=38",
"38-2=36"
] | Current State: 36:[91, 93, 81, 43], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [81, 43, 2]
Generated Node #2: [81, 43, 2] from Operation: 93-91=2
Current State: 36:[81, 43, 2], Operations: ['93-91=2']
Exploring Operation: 81-43=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 81-43=38
Current State: 36:[2, 38], Operations: ['93-91=2', '81-43=38']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
17,
69,
56,
93
] | 15 | [
"69-17=52",
"93-56=37",
"52-37=15"
] | Current State: 15:[17, 69, 56, 93], Operations: []
Exploring Operation: 69-17=52, Resulting Numbers: [56, 93, 52]
Generated Node #2: [56, 93, 52] from Operation: 69-17=52
Current State: 15:[56, 93, 52], Operations: ['69-17=52']
Exploring Operation: 93-56=37, Resulting Numbers: [52, 37]
Generated Node #3: [52, 37] from Operation: 93-56=37
Current State: 15:[52, 37], Operations: ['69-17=52', '93-56=37']
Exploring Operation: 52-37=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
82,
49,
17,
35
] | 79 | [
"82+49=131",
"17+35=52",
"131-52=79"
] | Current State: 79:[82, 49, 17, 35], Operations: []
Exploring Operation: 82+49=131, Resulting Numbers: [17, 35, 131]
Generated Node #2: [17, 35, 131] from Operation: 82+49=131
Current State: 79:[17, 35, 131], Operations: ['82+49=131']
Exploring Operation: 17+35=52, Resulting Numbers: [131, 52]
Generated Node #3: [131, 52] from Operation: 17+35=52
Current State: 79:[131, 52], Operations: ['82+49=131', '17+35=52']
Exploring Operation: 131-52=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
4,
59,
71,
39
] | 69 | [
"71-39=32",
"4*32=128",
"128-59=69"
] | Current State: 69:[4, 59, 71, 39], Operations: []
Exploring Operation: 71-39=32, Resulting Numbers: [4, 59, 32]
Generated Node #2: [4, 59, 32] from Operation: 71-39=32
Current State: 69:[4, 59, 32], Operations: ['71-39=32']
Exploring Operation: 4*32=128, Resulting Numbers: [59, 128]
Generated Node #3: [59, 128] from Operation: 4*32=128
Current State: 69:[59, 128], Operations: ['71-39=32', '4*32=128']
Exploring Operation: 128-59=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
21,
2,
11,
7
] | 68 | [
"21-11=10",
"7*10=70",
"70-2=68"
] | Current State: 68:[21, 2, 11, 7], Operations: []
Exploring Operation: 21-11=10, Resulting Numbers: [2, 7, 10]
Generated Node #2: [2, 7, 10] from Operation: 21-11=10
Current State: 68:[2, 7, 10], Operations: ['21-11=10']
Exploring Operation: 7*10=70, Resulting Numbers: [2, 70]
Generated Node #3: [2, 70] from Operation: 7*10=70
Current State: 68:[2, 70], Operations: ['21-11=10', '7*10=70']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
70,
94,
50,
96
] | 22 | [
"94-70=24",
"96-50=46",
"46-24=22"
] | Current State: 22:[70, 94, 50, 96], Operations: []
Exploring Operation: 94-70=24, Resulting Numbers: [50, 96, 24]
Generated Node #2: [50, 96, 24] from Operation: 94-70=24
Current State: 22:[50, 96, 24], Operations: ['94-70=24']
Exploring Operation: 96-50=46, Resulting Numbers: [24, 46]
Generated Node #3: [24, 46] from Operation: 96-50=46
Current State: 22:[24, 46], Operations: ['94-70=24', '96-50=46']
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
92,
34,
49,
24
] | 53 | [
"92+34=126",
"49+24=73",
"126-73=53"
] | Current State: 53:[92, 34, 49, 24], Operations: []
Exploring Operation: 92+34=126, Resulting Numbers: [49, 24, 126]
Generated Node #2: [49, 24, 126] from Operation: 92+34=126
Current State: 53:[49, 24, 126], Operations: ['92+34=126']
Exploring Operation: 49+24=73, Resulting Numbers: [126, 73]
Generated Node #3: [126, 73] from Operation: 49+24=73
Current State: 53:[126, 73], Operations: ['92+34=126', '49+24=73']
Exploring Operation: 126-73=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
4,
27,
46,
56
] | 13 | [
"27-4=23",
"56-46=10",
"23-10=13"
] | Current State: 13:[4, 27, 46, 56], Operations: []
Exploring Operation: 27-4=23, Resulting Numbers: [46, 56, 23]
Generated Node #2: [46, 56, 23] from Operation: 27-4=23
Current State: 13:[46, 56, 23], Operations: ['27-4=23']
Exploring Operation: 56-46=10, Resulting Numbers: [23, 10]
Generated Node #3: [23, 10] from Operation: 56-46=10
Current State: 13:[23, 10], Operations: ['27-4=23', '56-46=10']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
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