nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
87,
31,
76,
78
] | 25 | [
"78-76=2",
"31*2=62",
"87-62=25"
] | Current State: 25:[87, 31, 76, 78], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [87, 31, 2]
Generated Node #2: [87, 31, 2] from Operation: 78-76=2
Current State: 25:[87, 31, 2], Operations: ['78-76=2']
Exploring Operation: 31*2=62, Resulting Numbers: [87, 62]
Generated Node #3: [87, 62] from Operation: 31*2=62
Current State: 25:[87, 62], Operations: ['78-76=2', '31*2=62']
Exploring Operation: 87-62=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
35,
82,
97,
27
] | 77 | [
"82-35=47",
"97+27=124",
"124-47=77"
] | Current State: 77:[35, 82, 97, 27], Operations: []
Exploring Operation: 82-35=47, Resulting Numbers: [97, 27, 47]
Generated Node #2: [97, 27, 47] from Operation: 82-35=47
Current State: 77:[97, 27, 47], Operations: ['82-35=47']
Exploring Operation: 97+27=124, Resulting Numbers: [47, 124]
Generated Node #3: [47, 124] from Operation: 97+27=124
Current State: 77:[47, 124], Operations: ['82-35=47', '97+27=124']
Exploring Operation: 124-47=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
90,
50,
10,
2
] | 90 | [
"90-50=40",
"2*40=80",
"10+80=90"
] | Current State: 90:[90, 50, 10, 2], Operations: []
Exploring Operation: 90-50=40, Resulting Numbers: [10, 2, 40]
Generated Node #2: [10, 2, 40] from Operation: 90-50=40
Current State: 90:[10, 2, 40], Operations: ['90-50=40']
Exploring Operation: 2*40=80, Resulting Numbers: [10, 80]
Generated Node #3: [10, 80] from Operation: 2*40=80
Current State: 90:[10, 80], Operations: ['90-50=40', '2*40=80']
Exploring Operation: 10+80=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
9,
60,
78,
88
] | 61 | [
"60-9=51",
"88-78=10",
"51+10=61"
] | Current State: 61:[9, 60, 78, 88], Operations: []
Exploring Operation: 60-9=51, Resulting Numbers: [78, 88, 51]
Generated Node #2: [78, 88, 51] from Operation: 60-9=51
Current State: 61:[78, 88, 51], Operations: ['60-9=51']
Exploring Operation: 88-78=10, Resulting Numbers: [51, 10]
Generated Node #3: [51, 10] from Operation: 88-78=10
Current State: 61:[51, 10], Operations: ['60-9=51', '88-78=10']
Exploring Operation: 51+10=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
76,
71,
26,
98
] | 67 | [
"76-71=5",
"98-26=72",
"72-5=67"
] | Current State: 67:[76, 71, 26, 98], Operations: []
Exploring Operation: 76-71=5, Resulting Numbers: [26, 98, 5]
Generated Node #2: [26, 98, 5] from Operation: 76-71=5
Current State: 67:[26, 98, 5], Operations: ['76-71=5']
Exploring Operation: 98-26=72, Resulting Numbers: [5, 72]
Generated Node #3: [5, 72] from Operation: 98-26=72
Current State: 67:[5, 72], Operations: ['76-71=5', '98-26=72']
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
92,
10,
34,
29
] | 94 | [
"34-29=5",
"10/5=2",
"92+2=94"
] | Current State: 94:[92, 10, 34, 29], Operations: []
Exploring Operation: 34-29=5, Resulting Numbers: [92, 10, 5]
Generated Node #2: [92, 10, 5] from Operation: 34-29=5
Current State: 94:[92, 10, 5], Operations: ['34-29=5']
Exploring Operation: 10/5=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 10/5=2
Current State: 94:[92, 2], Operations: ['34-29=5', '10/5=2']
Exploring Operation: 92+2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
37,
40,
87,
9
] | 90 | [
"37+40=77",
"87-77=10",
"9*10=90"
] | Current State: 90:[37, 40, 87, 9], Operations: []
Exploring Operation: 37+40=77, Resulting Numbers: [87, 9, 77]
Generated Node #2: [87, 9, 77] from Operation: 37+40=77
Current State: 90:[87, 9, 77], Operations: ['37+40=77']
Exploring Operation: 87-77=10, Resulting Numbers: [9, 10]
Generated Node #3: [9, 10] from Operation: 87-77=10
Current State: 90:[9, 10], Operations: ['37+40=77', '87-77=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
10,
16,
3,
87
] | 73 | [
"10*3=30",
"16+87=103",
"103-30=73"
] | Current State: 73:[10, 16, 3, 87], Operations: []
Exploring Operation: 10*3=30, Resulting Numbers: [16, 87, 30]
Generated Node #2: [16, 87, 30] from Operation: 10*3=30
Current State: 73:[16, 87, 30], Operations: ['10*3=30']
Exploring Operation: 16+87=103, Resulting Numbers: [30, 103]
Generated Node #3: [30, 103] from Operation: 16+87=103
Current State: 73:[30, 103], Operations: ['10*3=30', '16+87=103']
Exploring Operation: 103-30=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
42,
9,
90,
24
] | 11 | [
"90-42=48",
"48/24=2",
"9+2=11"
] | Current State: 11:[42, 9, 90, 24], Operations: []
Exploring Operation: 90-42=48, Resulting Numbers: [9, 24, 48]
Generated Node #2: [9, 24, 48] from Operation: 90-42=48
Current State: 11:[9, 24, 48], Operations: ['90-42=48']
Exploring Operation: 48/24=2, Resulting Numbers: [9, 2]
Generated Node #3: [9, 2] from Operation: 48/24=2
Current State: 11:[9, 2], Operations: ['90-42=48', '48/24=2']
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
34,
81,
83,
60
] | 47 | [
"34+60=94",
"83-81=2",
"94/2=47"
] | Current State: 47:[34, 81, 83, 60], Operations: []
Exploring Operation: 34+60=94, Resulting Numbers: [81, 83, 94]
Generated Node #2: [81, 83, 94] from Operation: 34+60=94
Current State: 47:[81, 83, 94], Operations: ['34+60=94']
Exploring Operation: 83-81=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 83-81=2
Current State: 47:[94, 2], Operations: ['34+60=94', '83-81=2']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
60,
50,
71,
99
] | 18 | [
"60-50=10",
"99-71=28",
"28-10=18"
] | Current State: 18:[60, 50, 71, 99], Operations: []
Exploring Operation: 60-50=10, Resulting Numbers: [71, 99, 10]
Generated Node #2: [71, 99, 10] from Operation: 60-50=10
Current State: 18:[71, 99, 10], Operations: ['60-50=10']
Exploring Operation: 99-71=28, Resulting Numbers: [10, 28]
Generated Node #3: [10, 28] from Operation: 99-71=28
Current State: 18:[10, 28], Operations: ['60-50=10', '99-71=28']
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
8,
38,
19,
48
] | 72 | [
"38+19=57",
"57-48=9",
"8*9=72"
] | Current State: 72:[8, 38, 19, 48], Operations: []
Exploring Operation: 38+19=57, Resulting Numbers: [8, 48, 57]
Generated Node #2: [8, 48, 57] from Operation: 38+19=57
Current State: 72:[8, 48, 57], Operations: ['38+19=57']
Exploring Operation: 57-48=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 57-48=9
Current State: 72:[8, 9], Operations: ['38+19=57', '57-48=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
1,
35,
43,
44
] | 34 | [
"1*35=35",
"44-43=1",
"35-1=34"
] | Current State: 34:[1, 35, 43, 44], Operations: []
Exploring Operation: 1*35=35, Resulting Numbers: [43, 44, 35]
Generated Node #2: [43, 44, 35] from Operation: 1*35=35
Current State: 34:[43, 44, 35], Operations: ['1*35=35']
Exploring Operation: 44-43=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 44-43=1
Current State: 34:[35, 1], Operations: ['1*35=35', '44-43=1']
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
24,
71,
73,
74
] | 81 | [
"74-71=3",
"24/3=8",
"73+8=81"
] | Current State: 81:[24, 71, 73, 74], Operations: []
Exploring Operation: 74-71=3, Resulting Numbers: [24, 73, 3]
Generated Node #2: [24, 73, 3] from Operation: 74-71=3
Current State: 81:[24, 73, 3], Operations: ['74-71=3']
Exploring Operation: 24/3=8, Resulting Numbers: [73, 8]
Generated Node #3: [73, 8] from Operation: 24/3=8
Current State: 81:[73, 8], Operations: ['74-71=3', '24/3=8']
Exploring Operation: 73+8=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
63,
57,
96,
86
] | 70 | [
"63-57=6",
"96/6=16",
"86-16=70"
] | Current State: 70:[63, 57, 96, 86], Operations: []
Exploring Operation: 63-57=6, Resulting Numbers: [96, 86, 6]
Generated Node #2: [96, 86, 6] from Operation: 63-57=6
Current State: 70:[96, 86, 6], Operations: ['63-57=6']
Exploring Operation: 96/6=16, Resulting Numbers: [86, 16]
Generated Node #3: [86, 16] from Operation: 96/6=16
Current State: 70:[86, 16], Operations: ['63-57=6', '96/6=16']
Exploring Operation: 86-16=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
37,
22,
92,
84
] | 67 | [
"37+22=59",
"92-84=8",
"59+8=67"
] | Current State: 67:[37, 22, 92, 84], Operations: []
Exploring Operation: 37+22=59, Resulting Numbers: [92, 84, 59]
Generated Node #2: [92, 84, 59] from Operation: 37+22=59
Current State: 67:[92, 84, 59], Operations: ['37+22=59']
Exploring Operation: 92-84=8, Resulting Numbers: [59, 8]
Generated Node #3: [59, 8] from Operation: 92-84=8
Current State: 67:[59, 8], Operations: ['37+22=59', '92-84=8']
Exploring Operation: 59+8=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
63,
97,
29,
68
] | 34 | [
"63*68=4284",
"97+29=126",
"4284/126=34"
] | Current State: 34:[63, 97, 29, 68], Operations: []
Exploring Operation: 63*68=4284, Resulting Numbers: [97, 29, 4284]
Generated Node #2: [97, 29, 4284] from Operation: 63*68=4284
Current State: 34:[97, 29, 4284], Operations: ['63*68=4284']
Exploring Operation: 97+29=126, Resulting Numbers: [4284, 126]
Generated Node #3: [4284, 126] from Operation: 97+29=126
Current State: 34:[4284, 126], Operations: ['63*68=4284', '97+29=126']
Exploring Operation: 4284/126=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
67,
3,
39,
41
] | 43 | [
"67-39=28",
"3*28=84",
"84-41=43"
] | Current State: 43:[67, 3, 39, 41], Operations: []
Exploring Operation: 67-39=28, Resulting Numbers: [3, 41, 28]
Generated Node #2: [3, 41, 28] from Operation: 67-39=28
Current State: 43:[3, 41, 28], Operations: ['67-39=28']
Exploring Operation: 3*28=84, Resulting Numbers: [41, 84]
Generated Node #3: [41, 84] from Operation: 3*28=84
Current State: 43:[41, 84], Operations: ['67-39=28', '3*28=84']
Exploring Operation: 84-41=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
93,
2,
52,
58
] | 81 | [
"58-52=6",
"2*6=12",
"93-12=81"
] | Current State: 81:[93, 2, 52, 58], Operations: []
Exploring Operation: 58-52=6, Resulting Numbers: [93, 2, 6]
Generated Node #2: [93, 2, 6] from Operation: 58-52=6
Current State: 81:[93, 2, 6], Operations: ['58-52=6']
Exploring Operation: 2*6=12, Resulting Numbers: [93, 12]
Generated Node #3: [93, 12] from Operation: 2*6=12
Current State: 81:[93, 12], Operations: ['58-52=6', '2*6=12']
Exploring Operation: 93-12=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
32,
82,
36,
20
] | 90 | [
"82-32=50",
"36*50=1800",
"1800/20=90"
] | Current State: 90:[32, 82, 36, 20], Operations: []
Exploring Operation: 82-32=50, Resulting Numbers: [36, 20, 50]
Generated Node #2: [36, 20, 50] from Operation: 82-32=50
Current State: 90:[36, 20, 50], Operations: ['82-32=50']
Exploring Operation: 36*50=1800, Resulting Numbers: [20, 1800]
Generated Node #3: [20, 1800] from Operation: 36*50=1800
Current State: 90:[20, 1800], Operations: ['82-32=50', '36*50=1800']
Exploring Operation: 1800/20=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
30,
21,
75,
26
] | 69 | [
"26-21=5",
"30/5=6",
"75-6=69"
] | Current State: 69:[30, 21, 75, 26], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [30, 75, 5]
Generated Node #2: [30, 75, 5] from Operation: 26-21=5
Current State: 69:[30, 75, 5], Operations: ['26-21=5']
Exploring Operation: 30/5=6, Resulting Numbers: [75, 6]
Generated Node #3: [75, 6] from Operation: 30/5=6
Current State: 69:[75, 6], Operations: ['26-21=5', '30/5=6']
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
48,
20,
24,
83
] | 79 | [
"48-20=28",
"24+83=107",
"107-28=79"
] | Current State: 79:[48, 20, 24, 83], Operations: []
Exploring Operation: 48-20=28, Resulting Numbers: [24, 83, 28]
Generated Node #2: [24, 83, 28] from Operation: 48-20=28
Current State: 79:[24, 83, 28], Operations: ['48-20=28']
Exploring Operation: 24+83=107, Resulting Numbers: [28, 107]
Generated Node #3: [28, 107] from Operation: 24+83=107
Current State: 79:[28, 107], Operations: ['48-20=28', '24+83=107']
Exploring Operation: 107-28=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
86,
24,
28,
87
] | 16 | [
"86-28=58",
"24*58=1392",
"1392/87=16"
] | Current State: 16:[86, 24, 28, 87], Operations: []
Exploring Operation: 86-28=58, Resulting Numbers: [24, 87, 58]
Generated Node #2: [24, 87, 58] from Operation: 86-28=58
Current State: 16:[24, 87, 58], Operations: ['86-28=58']
Exploring Operation: 24*58=1392, Resulting Numbers: [87, 1392]
Generated Node #3: [87, 1392] from Operation: 24*58=1392
Current State: 16:[87, 1392], Operations: ['86-28=58', '24*58=1392']
Exploring Operation: 1392/87=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
30,
59,
69,
68
] | 89 | [
"30+59=89",
"69-68=1",
"89*1=89"
] | Current State: 89:[30, 59, 69, 68], Operations: []
Exploring Operation: 30+59=89, Resulting Numbers: [69, 68, 89]
Generated Node #2: [69, 68, 89] from Operation: 30+59=89
Current State: 89:[69, 68, 89], Operations: ['30+59=89']
Exploring Operation: 69-68=1, Resulting Numbers: [89, 1]
Generated Node #3: [89, 1] from Operation: 69-68=1
Current State: 89:[89, 1], Operations: ['30+59=89', '69-68=1']
Exploring Operation: 89*1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
42,
38,
6,
52
] | 19 | [
"42-38=4",
"52/4=13",
"6+13=19"
] | Current State: 19:[42, 38, 6, 52], Operations: []
Exploring Operation: 42-38=4, Resulting Numbers: [6, 52, 4]
Generated Node #2: [6, 52, 4] from Operation: 42-38=4
Current State: 19:[6, 52, 4], Operations: ['42-38=4']
Exploring Operation: 52/4=13, Resulting Numbers: [6, 13]
Generated Node #3: [6, 13] from Operation: 52/4=13
Current State: 19:[6, 13], Operations: ['42-38=4', '52/4=13']
Exploring Operation: 6+13=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
1,
1,
24,
6
] | 19 | [
"1*1=1",
"24-6=18",
"1+18=19"
] | Current State: 19:[1, 1, 24, 6], Operations: []
Exploring Operation: 1*1=1, Resulting Numbers: [24, 6, 1]
Generated Node #2: [24, 6, 1] from Operation: 1*1=1
Current State: 19:[24, 6, 1], Operations: ['1*1=1']
Exploring Operation: 24-6=18, Resulting Numbers: [1, 18]
Generated Node #3: [1, 18] from Operation: 24-6=18
Current State: 19:[1, 18], Operations: ['1*1=1', '24-6=18']
Exploring Operation: 1+18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
40,
15,
13,
9
] | 71 | [
"15-13=2",
"40*2=80",
"80-9=71"
] | Current State: 71:[40, 15, 13, 9], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [40, 9, 2]
Generated Node #2: [40, 9, 2] from Operation: 15-13=2
Current State: 71:[40, 9, 2], Operations: ['15-13=2']
Exploring Operation: 40*2=80, Resulting Numbers: [9, 80]
Generated Node #3: [9, 80] from Operation: 40*2=80
Current State: 71:[9, 80], Operations: ['15-13=2', '40*2=80']
Exploring Operation: 80-9=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
18,
45,
43,
75
] | 59 | [
"45-18=27",
"75-43=32",
"27+32=59"
] | Current State: 59:[18, 45, 43, 75], Operations: []
Exploring Operation: 45-18=27, Resulting Numbers: [43, 75, 27]
Generated Node #2: [43, 75, 27] from Operation: 45-18=27
Current State: 59:[43, 75, 27], Operations: ['45-18=27']
Exploring Operation: 75-43=32, Resulting Numbers: [27, 32]
Generated Node #3: [27, 32] from Operation: 75-43=32
Current State: 59:[27, 32], Operations: ['45-18=27', '75-43=32']
Exploring Operation: 27+32=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
13,
6,
73,
23
] | 79 | [
"13+23=36",
"36/6=6",
"73+6=79"
] | Current State: 79:[13, 6, 73, 23], Operations: []
Exploring Operation: 13+23=36, Resulting Numbers: [6, 73, 36]
Generated Node #2: [6, 73, 36] from Operation: 13+23=36
Current State: 79:[6, 73, 36], Operations: ['13+23=36']
Exploring Operation: 36/6=6, Resulting Numbers: [73, 6]
Generated Node #3: [73, 6] from Operation: 36/6=6
Current State: 79:[73, 6], Operations: ['13+23=36', '36/6=6']
Exploring Operation: 73+6=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
5,
98,
1,
87
] | 55 | [
"5*1=5",
"98-87=11",
"5*11=55"
] | Current State: 55:[5, 98, 1, 87], Operations: []
Exploring Operation: 5*1=5, Resulting Numbers: [98, 87, 5]
Generated Node #2: [98, 87, 5] from Operation: 5*1=5
Current State: 55:[98, 87, 5], Operations: ['5*1=5']
Exploring Operation: 98-87=11, Resulting Numbers: [5, 11]
Generated Node #3: [5, 11] from Operation: 98-87=11
Current State: 55:[5, 11], Operations: ['5*1=5', '98-87=11']
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
83,
17,
30,
9
] | 27 | [
"83-17=66",
"30+9=39",
"66-39=27"
] | Current State: 27:[83, 17, 30, 9], Operations: []
Exploring Operation: 83-17=66, Resulting Numbers: [30, 9, 66]
Generated Node #2: [30, 9, 66] from Operation: 83-17=66
Current State: 27:[30, 9, 66], Operations: ['83-17=66']
Exploring Operation: 30+9=39, Resulting Numbers: [66, 39]
Generated Node #3: [66, 39] from Operation: 30+9=39
Current State: 27:[66, 39], Operations: ['83-17=66', '30+9=39']
Exploring Operation: 66-39=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
6,
68,
98,
96
] | 71 | [
"98-96=2",
"6/2=3",
"68+3=71"
] | Current State: 71:[6, 68, 98, 96], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [6, 68, 2]
Generated Node #2: [6, 68, 2] from Operation: 98-96=2
Current State: 71:[6, 68, 2], Operations: ['98-96=2']
Exploring Operation: 6/2=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 6/2=3
Current State: 71:[68, 3], Operations: ['98-96=2', '6/2=3']
Exploring Operation: 68+3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
49,
89,
19,
38
] | 17 | [
"89-49=40",
"19+38=57",
"57-40=17"
] | Current State: 17:[49, 89, 19, 38], Operations: []
Exploring Operation: 89-49=40, Resulting Numbers: [19, 38, 40]
Generated Node #2: [19, 38, 40] from Operation: 89-49=40
Current State: 17:[19, 38, 40], Operations: ['89-49=40']
Exploring Operation: 19+38=57, Resulting Numbers: [40, 57]
Generated Node #3: [40, 57] from Operation: 19+38=57
Current State: 17:[40, 57], Operations: ['89-49=40', '19+38=57']
Exploring Operation: 57-40=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
62,
51,
36,
31
] | 46 | [
"62+51=113",
"36+31=67",
"113-67=46"
] | Current State: 46:[62, 51, 36, 31], Operations: []
Exploring Operation: 62+51=113, Resulting Numbers: [36, 31, 113]
Generated Node #2: [36, 31, 113] from Operation: 62+51=113
Current State: 46:[36, 31, 113], Operations: ['62+51=113']
Exploring Operation: 36+31=67, Resulting Numbers: [113, 67]
Generated Node #3: [113, 67] from Operation: 36+31=67
Current State: 46:[113, 67], Operations: ['62+51=113', '36+31=67']
Exploring Operation: 113-67=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
96,
48,
37,
42
] | 16 | [
"96/48=2",
"42/2=21",
"37-21=16"
] | Current State: 16:[96, 48, 37, 42], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [37, 42, 2]
Generated Node #2: [37, 42, 2] from Operation: 96/48=2
Current State: 16:[37, 42, 2], Operations: ['96/48=2']
Exploring Operation: 42/2=21, Resulting Numbers: [37, 21]
Generated Node #3: [37, 21] from Operation: 42/2=21
Current State: 16:[37, 21], Operations: ['96/48=2', '42/2=21']
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
82,
18,
87,
85
] | 50 | [
"82+18=100",
"87-85=2",
"100/2=50"
] | Current State: 50:[82, 18, 87, 85], Operations: []
Exploring Operation: 82+18=100, Resulting Numbers: [87, 85, 100]
Generated Node #2: [87, 85, 100] from Operation: 82+18=100
Current State: 50:[87, 85, 100], Operations: ['82+18=100']
Exploring Operation: 87-85=2, Resulting Numbers: [100, 2]
Generated Node #3: [100, 2] from Operation: 87-85=2
Current State: 50:[100, 2], Operations: ['82+18=100', '87-85=2']
Exploring Operation: 100/2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
67,
38,
21,
35
] | 63 | [
"67+38=105",
"21*105=2205",
"2205/35=63"
] | Current State: 63:[67, 38, 21, 35], Operations: []
Exploring Operation: 67+38=105, Resulting Numbers: [21, 35, 105]
Generated Node #2: [21, 35, 105] from Operation: 67+38=105
Current State: 63:[21, 35, 105], Operations: ['67+38=105']
Exploring Operation: 21*105=2205, Resulting Numbers: [35, 2205]
Generated Node #3: [35, 2205] from Operation: 21*105=2205
Current State: 63:[35, 2205], Operations: ['67+38=105', '21*105=2205']
Exploring Operation: 2205/35=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
9,
55,
96,
73
] | 48 | [
"9*96=864",
"73-55=18",
"864/18=48"
] | Current State: 48:[9, 55, 96, 73], Operations: []
Exploring Operation: 9*96=864, Resulting Numbers: [55, 73, 864]
Generated Node #2: [55, 73, 864] from Operation: 9*96=864
Current State: 48:[55, 73, 864], Operations: ['9*96=864']
Exploring Operation: 73-55=18, Resulting Numbers: [864, 18]
Generated Node #3: [864, 18] from Operation: 73-55=18
Current State: 48:[864, 18], Operations: ['9*96=864', '73-55=18']
Exploring Operation: 864/18=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
52,
47,
84,
72
] | 87 | [
"52+47=99",
"84-72=12",
"99-12=87"
] | Current State: 87:[52, 47, 84, 72], Operations: []
Exploring Operation: 52+47=99, Resulting Numbers: [84, 72, 99]
Generated Node #2: [84, 72, 99] from Operation: 52+47=99
Current State: 87:[84, 72, 99], Operations: ['52+47=99']
Exploring Operation: 84-72=12, Resulting Numbers: [99, 12]
Generated Node #3: [99, 12] from Operation: 84-72=12
Current State: 87:[99, 12], Operations: ['52+47=99', '84-72=12']
Exploring Operation: 99-12=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
69,
66,
43,
32
] | 78 | [
"69-66=3",
"43+32=75",
"3+75=78"
] | Current State: 78:[69, 66, 43, 32], Operations: []
Exploring Operation: 69-66=3, Resulting Numbers: [43, 32, 3]
Generated Node #2: [43, 32, 3] from Operation: 69-66=3
Current State: 78:[43, 32, 3], Operations: ['69-66=3']
Exploring Operation: 43+32=75, Resulting Numbers: [3, 75]
Generated Node #3: [3, 75] from Operation: 43+32=75
Current State: 78:[3, 75], Operations: ['69-66=3', '43+32=75']
Exploring Operation: 3+75=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
12,
83,
2,
58
] | 49 | [
"12*2=24",
"83-58=25",
"24+25=49"
] | Current State: 49:[12, 83, 2, 58], Operations: []
Exploring Operation: 12*2=24, Resulting Numbers: [83, 58, 24]
Generated Node #2: [83, 58, 24] from Operation: 12*2=24
Current State: 49:[83, 58, 24], Operations: ['12*2=24']
Exploring Operation: 83-58=25, Resulting Numbers: [24, 25]
Generated Node #3: [24, 25] from Operation: 83-58=25
Current State: 49:[24, 25], Operations: ['12*2=24', '83-58=25']
Exploring Operation: 24+25=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
12,
60,
98,
17
] | 43 | [
"12+60=72",
"98+17=115",
"115-72=43"
] | Current State: 43:[12, 60, 98, 17], Operations: []
Exploring Operation: 12+60=72, Resulting Numbers: [98, 17, 72]
Generated Node #2: [98, 17, 72] from Operation: 12+60=72
Current State: 43:[98, 17, 72], Operations: ['12+60=72']
Exploring Operation: 98+17=115, Resulting Numbers: [72, 115]
Generated Node #3: [72, 115] from Operation: 98+17=115
Current State: 43:[72, 115], Operations: ['12+60=72', '98+17=115']
Exploring Operation: 115-72=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
2,
74,
95,
83
] | 43 | [
"74+95=169",
"169-83=86",
"86/2=43"
] | Current State: 43:[2, 74, 95, 83], Operations: []
Exploring Operation: 74+95=169, Resulting Numbers: [2, 83, 169]
Generated Node #2: [2, 83, 169] from Operation: 74+95=169
Current State: 43:[2, 83, 169], Operations: ['74+95=169']
Exploring Operation: 169-83=86, Resulting Numbers: [2, 86]
Generated Node #3: [2, 86] from Operation: 169-83=86
Current State: 43:[2, 86], Operations: ['74+95=169', '169-83=86']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
40,
70,
80,
19
] | 76 | [
"40*19=760",
"80-70=10",
"760/10=76"
] | Current State: 76:[40, 70, 80, 19], Operations: []
Exploring Operation: 40*19=760, Resulting Numbers: [70, 80, 760]
Generated Node #2: [70, 80, 760] from Operation: 40*19=760
Current State: 76:[70, 80, 760], Operations: ['40*19=760']
Exploring Operation: 80-70=10, Resulting Numbers: [760, 10]
Generated Node #3: [760, 10] from Operation: 80-70=10
Current State: 76:[760, 10], Operations: ['40*19=760', '80-70=10']
Exploring Operation: 760/10=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
6,
72,
44,
22
] | 83 | [
"44+22=66",
"66/6=11",
"72+11=83"
] | Current State: 83:[6, 72, 44, 22], Operations: []
Exploring Operation: 44+22=66, Resulting Numbers: [6, 72, 66]
Generated Node #2: [6, 72, 66] from Operation: 44+22=66
Current State: 83:[6, 72, 66], Operations: ['44+22=66']
Exploring Operation: 66/6=11, Resulting Numbers: [72, 11]
Generated Node #3: [72, 11] from Operation: 66/6=11
Current State: 83:[72, 11], Operations: ['44+22=66', '66/6=11']
Exploring Operation: 72+11=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
22,
59,
99,
20
] | 19 | [
"22-20=2",
"59*2=118",
"118-99=19"
] | Current State: 19:[22, 59, 99, 20], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [59, 99, 2]
Generated Node #2: [59, 99, 2] from Operation: 22-20=2
Current State: 19:[59, 99, 2], Operations: ['22-20=2']
Exploring Operation: 59*2=118, Resulting Numbers: [99, 118]
Generated Node #3: [99, 118] from Operation: 59*2=118
Current State: 19:[99, 118], Operations: ['22-20=2', '59*2=118']
Exploring Operation: 118-99=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
51,
3,
9,
46
] | 96 | [
"51-9=42",
"3*46=138",
"138-42=96"
] | Current State: 96:[51, 3, 9, 46], Operations: []
Exploring Operation: 51-9=42, Resulting Numbers: [3, 46, 42]
Generated Node #2: [3, 46, 42] from Operation: 51-9=42
Current State: 96:[3, 46, 42], Operations: ['51-9=42']
Exploring Operation: 3*46=138, Resulting Numbers: [42, 138]
Generated Node #3: [42, 138] from Operation: 3*46=138
Current State: 96:[42, 138], Operations: ['51-9=42', '3*46=138']
Exploring Operation: 138-42=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
70,
28,
96,
44
] | 64 | [
"44-28=16",
"96/16=6",
"70-6=64"
] | Current State: 64:[70, 28, 96, 44], Operations: []
Exploring Operation: 44-28=16, Resulting Numbers: [70, 96, 16]
Generated Node #2: [70, 96, 16] from Operation: 44-28=16
Current State: 64:[70, 96, 16], Operations: ['44-28=16']
Exploring Operation: 96/16=6, Resulting Numbers: [70, 6]
Generated Node #3: [70, 6] from Operation: 96/16=6
Current State: 64:[70, 6], Operations: ['44-28=16', '96/16=6']
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
35,
38,
30,
91
] | 48 | [
"35+38=73",
"30+91=121",
"121-73=48"
] | Current State: 48:[35, 38, 30, 91], Operations: []
Exploring Operation: 35+38=73, Resulting Numbers: [30, 91, 73]
Generated Node #2: [30, 91, 73] from Operation: 35+38=73
Current State: 48:[30, 91, 73], Operations: ['35+38=73']
Exploring Operation: 30+91=121, Resulting Numbers: [73, 121]
Generated Node #3: [73, 121] from Operation: 30+91=121
Current State: 48:[73, 121], Operations: ['35+38=73', '30+91=121']
Exploring Operation: 121-73=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
78,
82,
34,
42
] | 13 | [
"82-34=48",
"48-42=6",
"78/6=13"
] | Current State: 13:[78, 82, 34, 42], Operations: []
Exploring Operation: 82-34=48, Resulting Numbers: [78, 42, 48]
Generated Node #2: [78, 42, 48] from Operation: 82-34=48
Current State: 13:[78, 42, 48], Operations: ['82-34=48']
Exploring Operation: 48-42=6, Resulting Numbers: [78, 6]
Generated Node #3: [78, 6] from Operation: 48-42=6
Current State: 13:[78, 6], Operations: ['82-34=48', '48-42=6']
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
18,
33,
13,
88
] | 24 | [
"18+33=51",
"88-13=75",
"75-51=24"
] | Current State: 24:[18, 33, 13, 88], Operations: []
Exploring Operation: 18+33=51, Resulting Numbers: [13, 88, 51]
Generated Node #2: [13, 88, 51] from Operation: 18+33=51
Current State: 24:[13, 88, 51], Operations: ['18+33=51']
Exploring Operation: 88-13=75, Resulting Numbers: [51, 75]
Generated Node #3: [51, 75] from Operation: 88-13=75
Current State: 24:[51, 75], Operations: ['18+33=51', '88-13=75']
Exploring Operation: 75-51=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
5,
15,
49,
4
] | 24 | [
"49-4=45",
"45/5=9",
"15+9=24"
] | Current State: 24:[5, 15, 49, 4], Operations: []
Exploring Operation: 49-4=45, Resulting Numbers: [5, 15, 45]
Generated Node #2: [5, 15, 45] from Operation: 49-4=45
Current State: 24:[5, 15, 45], Operations: ['49-4=45']
Exploring Operation: 45/5=9, Resulting Numbers: [15, 9]
Generated Node #3: [15, 9] from Operation: 45/5=9
Current State: 24:[15, 9], Operations: ['49-4=45', '45/5=9']
Exploring Operation: 15+9=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
2,
78,
97,
9
] | 77 | [
"78+9=87",
"2*87=174",
"174-97=77"
] | Current State: 77:[2, 78, 97, 9], Operations: []
Exploring Operation: 78+9=87, Resulting Numbers: [2, 97, 87]
Generated Node #2: [2, 97, 87] from Operation: 78+9=87
Current State: 77:[2, 97, 87], Operations: ['78+9=87']
Exploring Operation: 2*87=174, Resulting Numbers: [97, 174]
Generated Node #3: [97, 174] from Operation: 2*87=174
Current State: 77:[97, 174], Operations: ['78+9=87', '2*87=174']
Exploring Operation: 174-97=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
81,
86,
18,
86
] | 99 | [
"81+86=167",
"86-18=68",
"167-68=99"
] | Current State: 99:[81, 86, 18, 86], Operations: []
Exploring Operation: 81+86=167, Resulting Numbers: [18, 167]
Generated Node #2: [18, 167] from Operation: 81+86=167
Current State: 99:[18, 167], Operations: ['81+86=167']
Exploring Operation: 86-18=68, Resulting Numbers: [167, 68]
Generated Node #3: [167, 68] from Operation: 86-18=68
Current State: 99:[167, 68], Operations: ['81+86=167', '86-18=68']
Exploring Operation: 167-68=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
11,
58,
1,
18
] | 30 | [
"58-11=47",
"18-1=17",
"47-17=30"
] | Current State: 30:[11, 58, 1, 18], Operations: []
Exploring Operation: 58-11=47, Resulting Numbers: [1, 18, 47]
Generated Node #2: [1, 18, 47] from Operation: 58-11=47
Current State: 30:[1, 18, 47], Operations: ['58-11=47']
Exploring Operation: 18-1=17, Resulting Numbers: [47, 17]
Generated Node #3: [47, 17] from Operation: 18-1=17
Current State: 30:[47, 17], Operations: ['58-11=47', '18-1=17']
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
10,
54,
24,
91
] | 94 | [
"54-24=30",
"30/10=3",
"91+3=94"
] | Current State: 94:[10, 54, 24, 91], Operations: []
Exploring Operation: 54-24=30, Resulting Numbers: [10, 91, 30]
Generated Node #2: [10, 91, 30] from Operation: 54-24=30
Current State: 94:[10, 91, 30], Operations: ['54-24=30']
Exploring Operation: 30/10=3, Resulting Numbers: [91, 3]
Generated Node #3: [91, 3] from Operation: 30/10=3
Current State: 94:[91, 3], Operations: ['54-24=30', '30/10=3']
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
9,
51,
69,
76
] | 49 | [
"51-9=42",
"76-69=7",
"42+7=49"
] | Current State: 49:[9, 51, 69, 76], Operations: []
Exploring Operation: 51-9=42, Resulting Numbers: [69, 76, 42]
Generated Node #2: [69, 76, 42] from Operation: 51-9=42
Current State: 49:[69, 76, 42], Operations: ['51-9=42']
Exploring Operation: 76-69=7, Resulting Numbers: [42, 7]
Generated Node #3: [42, 7] from Operation: 76-69=7
Current State: 49:[42, 7], Operations: ['51-9=42', '76-69=7']
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
3,
99,
8,
34
] | 22 | [
"99-3=96",
"96/8=12",
"34-12=22"
] | Current State: 22:[3, 99, 8, 34], Operations: []
Exploring Operation: 99-3=96, Resulting Numbers: [8, 34, 96]
Generated Node #2: [8, 34, 96] from Operation: 99-3=96
Current State: 22:[8, 34, 96], Operations: ['99-3=96']
Exploring Operation: 96/8=12, Resulting Numbers: [34, 12]
Generated Node #3: [34, 12] from Operation: 96/8=12
Current State: 22:[34, 12], Operations: ['99-3=96', '96/8=12']
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
97,
65,
75,
21
] | 66 | [
"97+65=162",
"75+21=96",
"162-96=66"
] | Current State: 66:[97, 65, 75, 21], Operations: []
Exploring Operation: 97+65=162, Resulting Numbers: [75, 21, 162]
Generated Node #2: [75, 21, 162] from Operation: 97+65=162
Current State: 66:[75, 21, 162], Operations: ['97+65=162']
Exploring Operation: 75+21=96, Resulting Numbers: [162, 96]
Generated Node #3: [162, 96] from Operation: 75+21=96
Current State: 66:[162, 96], Operations: ['97+65=162', '75+21=96']
Exploring Operation: 162-96=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
55,
43,
32,
5
] | 49 | [
"55-43=12",
"32+5=37",
"12+37=49"
] | Current State: 49:[55, 43, 32, 5], Operations: []
Exploring Operation: 55-43=12, Resulting Numbers: [32, 5, 12]
Generated Node #2: [32, 5, 12] from Operation: 55-43=12
Current State: 49:[32, 5, 12], Operations: ['55-43=12']
Exploring Operation: 32+5=37, Resulting Numbers: [12, 37]
Generated Node #3: [12, 37] from Operation: 32+5=37
Current State: 49:[12, 37], Operations: ['55-43=12', '32+5=37']
Exploring Operation: 12+37=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
9,
22,
14,
63
] | 46 | [
"9+22=31",
"14+63=77",
"77-31=46"
] | Current State: 46:[9, 22, 14, 63], Operations: []
Exploring Operation: 9+22=31, Resulting Numbers: [14, 63, 31]
Generated Node #2: [14, 63, 31] from Operation: 9+22=31
Current State: 46:[14, 63, 31], Operations: ['9+22=31']
Exploring Operation: 14+63=77, Resulting Numbers: [31, 77]
Generated Node #3: [31, 77] from Operation: 14+63=77
Current State: 46:[31, 77], Operations: ['9+22=31', '14+63=77']
Exploring Operation: 77-31=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
44,
50,
36,
55
] | 97 | [
"50-44=6",
"36+55=91",
"6+91=97"
] | Current State: 97:[44, 50, 36, 55], Operations: []
Exploring Operation: 50-44=6, Resulting Numbers: [36, 55, 6]
Generated Node #2: [36, 55, 6] from Operation: 50-44=6
Current State: 97:[36, 55, 6], Operations: ['50-44=6']
Exploring Operation: 36+55=91, Resulting Numbers: [6, 91]
Generated Node #3: [6, 91] from Operation: 36+55=91
Current State: 97:[6, 91], Operations: ['50-44=6', '36+55=91']
Exploring Operation: 6+91=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
79,
25,
84,
78
] | 47 | [
"84-79=5",
"25*5=125",
"125-78=47"
] | Current State: 47:[79, 25, 84, 78], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [25, 78, 5]
Generated Node #2: [25, 78, 5] from Operation: 84-79=5
Current State: 47:[25, 78, 5], Operations: ['84-79=5']
Exploring Operation: 25*5=125, Resulting Numbers: [78, 125]
Generated Node #3: [78, 125] from Operation: 25*5=125
Current State: 47:[78, 125], Operations: ['84-79=5', '25*5=125']
Exploring Operation: 125-78=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
21,
11,
30,
71
] | 31 | [
"21-11=10",
"71-30=41",
"41-10=31"
] | Current State: 31:[21, 11, 30, 71], Operations: []
Exploring Operation: 21-11=10, Resulting Numbers: [30, 71, 10]
Generated Node #2: [30, 71, 10] from Operation: 21-11=10
Current State: 31:[30, 71, 10], Operations: ['21-11=10']
Exploring Operation: 71-30=41, Resulting Numbers: [10, 41]
Generated Node #3: [10, 41] from Operation: 71-30=41
Current State: 31:[10, 41], Operations: ['21-11=10', '71-30=41']
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
8,
63,
9,
14
] | 16 | [
"8*9=72",
"14*72=1008",
"1008/63=16"
] | Current State: 16:[8, 63, 9, 14], Operations: []
Exploring Operation: 8*9=72, Resulting Numbers: [63, 14, 72]
Generated Node #2: [63, 14, 72] from Operation: 8*9=72
Current State: 16:[63, 14, 72], Operations: ['8*9=72']
Exploring Operation: 14*72=1008, Resulting Numbers: [63, 1008]
Generated Node #3: [63, 1008] from Operation: 14*72=1008
Current State: 16:[63, 1008], Operations: ['8*9=72', '14*72=1008']
Exploring Operation: 1008/63=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
56,
10,
81,
20
] | 55 | [
"56-10=46",
"81+20=101",
"101-46=55"
] | Current State: 55:[56, 10, 81, 20], Operations: []
Exploring Operation: 56-10=46, Resulting Numbers: [81, 20, 46]
Generated Node #2: [81, 20, 46] from Operation: 56-10=46
Current State: 55:[81, 20, 46], Operations: ['56-10=46']
Exploring Operation: 81+20=101, Resulting Numbers: [46, 101]
Generated Node #3: [46, 101] from Operation: 81+20=101
Current State: 55:[46, 101], Operations: ['56-10=46', '81+20=101']
Exploring Operation: 101-46=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
62,
97,
75,
87
] | 23 | [
"97-62=35",
"87-75=12",
"35-12=23"
] | Current State: 23:[62, 97, 75, 87], Operations: []
Exploring Operation: 97-62=35, Resulting Numbers: [75, 87, 35]
Generated Node #2: [75, 87, 35] from Operation: 97-62=35
Current State: 23:[75, 87, 35], Operations: ['97-62=35']
Exploring Operation: 87-75=12, Resulting Numbers: [35, 12]
Generated Node #3: [35, 12] from Operation: 87-75=12
Current State: 23:[35, 12], Operations: ['97-62=35', '87-75=12']
Exploring Operation: 35-12=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
64,
49,
69,
79
] | 35 | [
"64+49=113",
"69+79=148",
"148-113=35"
] | Current State: 35:[64, 49, 69, 79], Operations: []
Exploring Operation: 64+49=113, Resulting Numbers: [69, 79, 113]
Generated Node #2: [69, 79, 113] from Operation: 64+49=113
Current State: 35:[69, 79, 113], Operations: ['64+49=113']
Exploring Operation: 69+79=148, Resulting Numbers: [113, 148]
Generated Node #3: [113, 148] from Operation: 69+79=148
Current State: 35:[113, 148], Operations: ['64+49=113', '69+79=148']
Exploring Operation: 148-113=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
86,
85,
64,
19
] | 83 | [
"86-85=1",
"64+19=83",
"1*83=83"
] | Current State: 83:[86, 85, 64, 19], Operations: []
Exploring Operation: 86-85=1, Resulting Numbers: [64, 19, 1]
Generated Node #2: [64, 19, 1] from Operation: 86-85=1
Current State: 83:[64, 19, 1], Operations: ['86-85=1']
Exploring Operation: 64+19=83, Resulting Numbers: [1, 83]
Generated Node #3: [1, 83] from Operation: 64+19=83
Current State: 83:[1, 83], Operations: ['86-85=1', '64+19=83']
Exploring Operation: 1*83=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
4,
79,
65,
9
] | 84 | [
"4+9=13",
"65/13=5",
"79+5=84"
] | Current State: 84:[4, 79, 65, 9], Operations: []
Exploring Operation: 4+9=13, Resulting Numbers: [79, 65, 13]
Generated Node #2: [79, 65, 13] from Operation: 4+9=13
Current State: 84:[79, 65, 13], Operations: ['4+9=13']
Exploring Operation: 65/13=5, Resulting Numbers: [79, 5]
Generated Node #3: [79, 5] from Operation: 65/13=5
Current State: 84:[79, 5], Operations: ['4+9=13', '65/13=5']
Exploring Operation: 79+5=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
78,
10,
71,
78
] | 60 | [
"78/78=1",
"71-10=61",
"61-1=60"
] | Current State: 60:[78, 10, 71, 78], Operations: []
Exploring Operation: 78/78=1, Resulting Numbers: [10, 71, 1]
Generated Node #2: [10, 71, 1] from Operation: 78/78=1
Current State: 60:[10, 71, 1], Operations: ['78/78=1']
Exploring Operation: 71-10=61, Resulting Numbers: [1, 61]
Generated Node #3: [1, 61] from Operation: 71-10=61
Current State: 60:[1, 61], Operations: ['78/78=1', '71-10=61']
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
16,
44,
40,
36
] | 35 | [
"44+36=80",
"80/16=5",
"40-5=35"
] | Current State: 35:[16, 44, 40, 36], Operations: []
Exploring Operation: 44+36=80, Resulting Numbers: [16, 40, 80]
Generated Node #2: [16, 40, 80] from Operation: 44+36=80
Current State: 35:[16, 40, 80], Operations: ['44+36=80']
Exploring Operation: 80/16=5, Resulting Numbers: [40, 5]
Generated Node #3: [40, 5] from Operation: 80/16=5
Current State: 35:[40, 5], Operations: ['44+36=80', '80/16=5']
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
66,
60,
7,
30
] | 52 | [
"60*7=420",
"420/30=14",
"66-14=52"
] | Current State: 52:[66, 60, 7, 30], Operations: []
Exploring Operation: 60*7=420, Resulting Numbers: [66, 30, 420]
Generated Node #2: [66, 30, 420] from Operation: 60*7=420
Current State: 52:[66, 30, 420], Operations: ['60*7=420']
Exploring Operation: 420/30=14, Resulting Numbers: [66, 14]
Generated Node #3: [66, 14] from Operation: 420/30=14
Current State: 52:[66, 14], Operations: ['60*7=420', '420/30=14']
Exploring Operation: 66-14=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
28,
96,
36,
42
] | 63 | [
"28+36=64",
"96*42=4032",
"4032/64=63"
] | Current State: 63:[28, 96, 36, 42], Operations: []
Exploring Operation: 28+36=64, Resulting Numbers: [96, 42, 64]
Generated Node #2: [96, 42, 64] from Operation: 28+36=64
Current State: 63:[96, 42, 64], Operations: ['28+36=64']
Exploring Operation: 96*42=4032, Resulting Numbers: [64, 4032]
Generated Node #3: [64, 4032] from Operation: 96*42=4032
Current State: 63:[64, 4032], Operations: ['28+36=64', '96*42=4032']
Exploring Operation: 4032/64=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
91,
23,
86,
3
] | 100 | [
"91-86=5",
"23-3=20",
"5*20=100"
] | Current State: 100:[91, 23, 86, 3], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [23, 3, 5]
Generated Node #2: [23, 3, 5] from Operation: 91-86=5
Current State: 100:[23, 3, 5], Operations: ['91-86=5']
Exploring Operation: 23-3=20, Resulting Numbers: [5, 20]
Generated Node #3: [5, 20] from Operation: 23-3=20
Current State: 100:[5, 20], Operations: ['91-86=5', '23-3=20']
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
20,
93,
90,
66
] | 83 | [
"93-20=73",
"90+66=156",
"156-73=83"
] | Current State: 83:[20, 93, 90, 66], Operations: []
Exploring Operation: 93-20=73, Resulting Numbers: [90, 66, 73]
Generated Node #2: [90, 66, 73] from Operation: 93-20=73
Current State: 83:[90, 66, 73], Operations: ['93-20=73']
Exploring Operation: 90+66=156, Resulting Numbers: [73, 156]
Generated Node #3: [73, 156] from Operation: 90+66=156
Current State: 83:[73, 156], Operations: ['93-20=73', '90+66=156']
Exploring Operation: 156-73=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
27,
26,
58,
52
] | 83 | [
"27+58=85",
"52/26=2",
"85-2=83"
] | Current State: 83:[27, 26, 58, 52], Operations: []
Exploring Operation: 27+58=85, Resulting Numbers: [26, 52, 85]
Generated Node #2: [26, 52, 85] from Operation: 27+58=85
Current State: 83:[26, 52, 85], Operations: ['27+58=85']
Exploring Operation: 52/26=2, Resulting Numbers: [85, 2]
Generated Node #3: [85, 2] from Operation: 52/26=2
Current State: 83:[85, 2], Operations: ['27+58=85', '52/26=2']
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
52,
4,
91,
3
] | 52 | [
"52/4=13",
"3*13=39",
"91-39=52"
] | Current State: 52:[52, 4, 91, 3], Operations: []
Exploring Operation: 52/4=13, Resulting Numbers: [91, 3, 13]
Generated Node #2: [91, 3, 13] from Operation: 52/4=13
Current State: 52:[91, 3, 13], Operations: ['52/4=13']
Exploring Operation: 3*13=39, Resulting Numbers: [91, 39]
Generated Node #3: [91, 39] from Operation: 3*13=39
Current State: 52:[91, 39], Operations: ['52/4=13', '3*13=39']
Exploring Operation: 91-39=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
12,
47,
45,
6
] | 96 | [
"47-45=2",
"6+2=8",
"12*8=96"
] | Current State: 96:[12, 47, 45, 6], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [12, 6, 2]
Generated Node #2: [12, 6, 2] from Operation: 47-45=2
Current State: 96:[12, 6, 2], Operations: ['47-45=2']
Exploring Operation: 6+2=8, Resulting Numbers: [12, 8]
Generated Node #3: [12, 8] from Operation: 6+2=8
Current State: 96:[12, 8], Operations: ['47-45=2', '6+2=8']
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
22,
4,
81,
94
] | 39 | [
"22+4=26",
"94-81=13",
"26+13=39"
] | Current State: 39:[22, 4, 81, 94], Operations: []
Exploring Operation: 22+4=26, Resulting Numbers: [81, 94, 26]
Generated Node #2: [81, 94, 26] from Operation: 22+4=26
Current State: 39:[81, 94, 26], Operations: ['22+4=26']
Exploring Operation: 94-81=13, Resulting Numbers: [26, 13]
Generated Node #3: [26, 13] from Operation: 94-81=13
Current State: 39:[26, 13], Operations: ['22+4=26', '94-81=13']
Exploring Operation: 26+13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
64,
27,
23,
79
] | 65 | [
"64-27=37",
"23+79=102",
"102-37=65"
] | Current State: 65:[64, 27, 23, 79], Operations: []
Exploring Operation: 64-27=37, Resulting Numbers: [23, 79, 37]
Generated Node #2: [23, 79, 37] from Operation: 64-27=37
Current State: 65:[23, 79, 37], Operations: ['64-27=37']
Exploring Operation: 23+79=102, Resulting Numbers: [37, 102]
Generated Node #3: [37, 102] from Operation: 23+79=102
Current State: 65:[37, 102], Operations: ['64-27=37', '23+79=102']
Exploring Operation: 102-37=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
22,
24,
88,
62
] | 90 | [
"88/22=4",
"24+62=86",
"4+86=90"
] | Current State: 90:[22, 24, 88, 62], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [24, 62, 4]
Generated Node #2: [24, 62, 4] from Operation: 88/22=4
Current State: 90:[24, 62, 4], Operations: ['88/22=4']
Exploring Operation: 24+62=86, Resulting Numbers: [4, 86]
Generated Node #3: [4, 86] from Operation: 24+62=86
Current State: 90:[4, 86], Operations: ['88/22=4', '24+62=86']
Exploring Operation: 4+86=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
38,
76,
58,
82
] | 34 | [
"76/38=2",
"58*2=116",
"116-82=34"
] | Current State: 34:[38, 76, 58, 82], Operations: []
Exploring Operation: 76/38=2, Resulting Numbers: [58, 82, 2]
Generated Node #2: [58, 82, 2] from Operation: 76/38=2
Current State: 34:[58, 82, 2], Operations: ['76/38=2']
Exploring Operation: 58*2=116, Resulting Numbers: [82, 116]
Generated Node #3: [82, 116] from Operation: 58*2=116
Current State: 34:[82, 116], Operations: ['76/38=2', '58*2=116']
Exploring Operation: 116-82=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
59,
19,
13,
25
] | 61 | [
"13+25=38",
"38/19=2",
"59+2=61"
] | Current State: 61:[59, 19, 13, 25], Operations: []
Exploring Operation: 13+25=38, Resulting Numbers: [59, 19, 38]
Generated Node #2: [59, 19, 38] from Operation: 13+25=38
Current State: 61:[59, 19, 38], Operations: ['13+25=38']
Exploring Operation: 38/19=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 38/19=2
Current State: 61:[59, 2], Operations: ['13+25=38', '38/19=2']
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
66,
25,
97,
26
] | 31 | [
"97-66=31",
"26-25=1",
"31*1=31"
] | Current State: 31:[66, 25, 97, 26], Operations: []
Exploring Operation: 97-66=31, Resulting Numbers: [25, 26, 31]
Generated Node #2: [25, 26, 31] from Operation: 97-66=31
Current State: 31:[25, 26, 31], Operations: ['97-66=31']
Exploring Operation: 26-25=1, Resulting Numbers: [31, 1]
Generated Node #3: [31, 1] from Operation: 26-25=1
Current State: 31:[31, 1], Operations: ['97-66=31', '26-25=1']
Exploring Operation: 31*1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
77,
81,
30,
84
] | 36 | [
"81-77=4",
"30*4=120",
"120-84=36"
] | Current State: 36:[77, 81, 30, 84], Operations: []
Exploring Operation: 81-77=4, Resulting Numbers: [30, 84, 4]
Generated Node #2: [30, 84, 4] from Operation: 81-77=4
Current State: 36:[30, 84, 4], Operations: ['81-77=4']
Exploring Operation: 30*4=120, Resulting Numbers: [84, 120]
Generated Node #3: [84, 120] from Operation: 30*4=120
Current State: 36:[84, 120], Operations: ['81-77=4', '30*4=120']
Exploring Operation: 120-84=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
37,
48,
70,
18
] | 88 | [
"70-37=33",
"48*33=1584",
"1584/18=88"
] | Current State: 88:[37, 48, 70, 18], Operations: []
Exploring Operation: 70-37=33, Resulting Numbers: [48, 18, 33]
Generated Node #2: [48, 18, 33] from Operation: 70-37=33
Current State: 88:[48, 18, 33], Operations: ['70-37=33']
Exploring Operation: 48*33=1584, Resulting Numbers: [18, 1584]
Generated Node #3: [18, 1584] from Operation: 48*33=1584
Current State: 88:[18, 1584], Operations: ['70-37=33', '48*33=1584']
Exploring Operation: 1584/18=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
80,
22,
52,
2
] | 33 | [
"80-2=78",
"22*78=1716",
"1716/52=33"
] | Current State: 33:[80, 22, 52, 2], Operations: []
Exploring Operation: 80-2=78, Resulting Numbers: [22, 52, 78]
Generated Node #2: [22, 52, 78] from Operation: 80-2=78
Current State: 33:[22, 52, 78], Operations: ['80-2=78']
Exploring Operation: 22*78=1716, Resulting Numbers: [52, 1716]
Generated Node #3: [52, 1716] from Operation: 22*78=1716
Current State: 33:[52, 1716], Operations: ['80-2=78', '22*78=1716']
Exploring Operation: 1716/52=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
4,
52,
55,
45
] | 11 | [
"55-52=3",
"45/3=15",
"15-4=11"
] | Current State: 11:[4, 52, 55, 45], Operations: []
Exploring Operation: 55-52=3, Resulting Numbers: [4, 45, 3]
Generated Node #2: [4, 45, 3] from Operation: 55-52=3
Current State: 11:[4, 45, 3], Operations: ['55-52=3']
Exploring Operation: 45/3=15, Resulting Numbers: [4, 15]
Generated Node #3: [4, 15] from Operation: 45/3=15
Current State: 11:[4, 15], Operations: ['55-52=3', '45/3=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
54,
11,
44,
3
] | 51 | [
"54/3=18",
"44-11=33",
"18+33=51"
] | Current State: 51:[54, 11, 44, 3], Operations: []
Exploring Operation: 54/3=18, Resulting Numbers: [11, 44, 18]
Generated Node #2: [11, 44, 18] from Operation: 54/3=18
Current State: 51:[11, 44, 18], Operations: ['54/3=18']
Exploring Operation: 44-11=33, Resulting Numbers: [18, 33]
Generated Node #3: [18, 33] from Operation: 44-11=33
Current State: 51:[18, 33], Operations: ['54/3=18', '44-11=33']
Exploring Operation: 18+33=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
51,
2,
27,
90
] | 57 | [
"51-27=24",
"90+24=114",
"114/2=57"
] | Current State: 57:[51, 2, 27, 90], Operations: []
Exploring Operation: 51-27=24, Resulting Numbers: [2, 90, 24]
Generated Node #2: [2, 90, 24] from Operation: 51-27=24
Current State: 57:[2, 90, 24], Operations: ['51-27=24']
Exploring Operation: 90+24=114, Resulting Numbers: [2, 114]
Generated Node #3: [2, 114] from Operation: 90+24=114
Current State: 57:[2, 114], Operations: ['51-27=24', '90+24=114']
Exploring Operation: 114/2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
49,
40,
36,
84
] | 61 | [
"49*36=1764",
"1764/84=21",
"40+21=61"
] | Current State: 61:[49, 40, 36, 84], Operations: []
Exploring Operation: 49*36=1764, Resulting Numbers: [40, 84, 1764]
Generated Node #2: [40, 84, 1764] from Operation: 49*36=1764
Current State: 61:[40, 84, 1764], Operations: ['49*36=1764']
Exploring Operation: 1764/84=21, Resulting Numbers: [40, 21]
Generated Node #3: [40, 21] from Operation: 1764/84=21
Current State: 61:[40, 21], Operations: ['49*36=1764', '1764/84=21']
Exploring Operation: 40+21=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
37,
76,
19,
79
] | 99 | [
"76-37=39",
"79-19=60",
"39+60=99"
] | Current State: 99:[37, 76, 19, 79], Operations: []
Exploring Operation: 76-37=39, Resulting Numbers: [19, 79, 39]
Generated Node #2: [19, 79, 39] from Operation: 76-37=39
Current State: 99:[19, 79, 39], Operations: ['76-37=39']
Exploring Operation: 79-19=60, Resulting Numbers: [39, 60]
Generated Node #3: [39, 60] from Operation: 79-19=60
Current State: 99:[39, 60], Operations: ['76-37=39', '79-19=60']
Exploring Operation: 39+60=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
21,
71,
83,
64
] | 69 | [
"71-21=50",
"83-64=19",
"50+19=69"
] | Current State: 69:[21, 71, 83, 64], Operations: []
Exploring Operation: 71-21=50, Resulting Numbers: [83, 64, 50]
Generated Node #2: [83, 64, 50] from Operation: 71-21=50
Current State: 69:[83, 64, 50], Operations: ['71-21=50']
Exploring Operation: 83-64=19, Resulting Numbers: [50, 19]
Generated Node #3: [50, 19] from Operation: 83-64=19
Current State: 69:[50, 19], Operations: ['71-21=50', '83-64=19']
Exploring Operation: 50+19=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
52,
68,
5,
18
] | 17 | [
"18-5=13",
"52/13=4",
"68/4=17"
] | Current State: 17:[52, 68, 5, 18], Operations: []
Exploring Operation: 18-5=13, Resulting Numbers: [52, 68, 13]
Generated Node #2: [52, 68, 13] from Operation: 18-5=13
Current State: 17:[52, 68, 13], Operations: ['18-5=13']
Exploring Operation: 52/13=4, Resulting Numbers: [68, 4]
Generated Node #3: [68, 4] from Operation: 52/13=4
Current State: 17:[68, 4], Operations: ['18-5=13', '52/13=4']
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
41,
45,
22,
3
] | 100 | [
"45-41=4",
"22+3=25",
"4*25=100"
] | Current State: 100:[41, 45, 22, 3], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [22, 3, 4]
Generated Node #2: [22, 3, 4] from Operation: 45-41=4
Current State: 100:[22, 3, 4], Operations: ['45-41=4']
Exploring Operation: 22+3=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 22+3=25
Current State: 100:[4, 25], Operations: ['45-41=4', '22+3=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
72,
48,
68,
89
] | 12 | [
"89-72=17",
"48*17=816",
"816/68=12"
] | Current State: 12:[72, 48, 68, 89], Operations: []
Exploring Operation: 89-72=17, Resulting Numbers: [48, 68, 17]
Generated Node #2: [48, 68, 17] from Operation: 89-72=17
Current State: 12:[48, 68, 17], Operations: ['89-72=17']
Exploring Operation: 48*17=816, Resulting Numbers: [68, 816]
Generated Node #3: [68, 816] from Operation: 48*17=816
Current State: 12:[68, 816], Operations: ['89-72=17', '48*17=816']
Exploring Operation: 816/68=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
96,
48,
88,
40
] | 46 | [
"96/48=2",
"88-40=48",
"48-2=46"
] | Current State: 46:[96, 48, 88, 40], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [88, 40, 2]
Generated Node #2: [88, 40, 2] from Operation: 96/48=2
Current State: 46:[88, 40, 2], Operations: ['96/48=2']
Exploring Operation: 88-40=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 88-40=48
Current State: 46:[2, 48], Operations: ['96/48=2', '88-40=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
69,
44,
55,
45
] | 13 | [
"69+44=113",
"55+45=100",
"113-100=13"
] | Current State: 13:[69, 44, 55, 45], Operations: []
Exploring Operation: 69+44=113, Resulting Numbers: [55, 45, 113]
Generated Node #2: [55, 45, 113] from Operation: 69+44=113
Current State: 13:[55, 45, 113], Operations: ['69+44=113']
Exploring Operation: 55+45=100, Resulting Numbers: [113, 100]
Generated Node #3: [113, 100] from Operation: 55+45=100
Current State: 13:[113, 100], Operations: ['69+44=113', '55+45=100']
Exploring Operation: 113-100=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
16,
3,
40,
12
] | 100 | [
"16*3=48",
"40+12=52",
"48+52=100"
] | Current State: 100:[16, 3, 40, 12], Operations: []
Exploring Operation: 16*3=48, Resulting Numbers: [40, 12, 48]
Generated Node #2: [40, 12, 48] from Operation: 16*3=48
Current State: 100:[40, 12, 48], Operations: ['16*3=48']
Exploring Operation: 40+12=52, Resulting Numbers: [48, 52]
Generated Node #3: [48, 52] from Operation: 40+12=52
Current State: 100:[48, 52], Operations: ['16*3=48', '40+12=52']
Exploring Operation: 48+52=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
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