nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
50,
18,
34,
35
] | 20 | [
"18*35=630",
"50+630=680",
"680/34=20"
] | Current State: 20:[50, 18, 34, 35], Operations: []
Exploring Operation: 18*35=630, Resulting Numbers: [50, 34, 630]
Generated Node #2: [50, 34, 630] from Operation: 18*35=630
Current State: 20:[50, 34, 630], Operations: ['18*35=630']
Exploring Operation: 50+630=680, Resulting Numbers: [34, 680]
Generated Node #3: [34, 680] from Operation: 50+630=680
Current State: 20:[34, 680], Operations: ['18*35=630', '50+630=680']
Exploring Operation: 680/34=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
55,
28,
98,
21
] | 61 | [
"28+98=126",
"126/21=6",
"55+6=61"
] | Current State: 61:[55, 28, 98, 21], Operations: []
Exploring Operation: 28+98=126, Resulting Numbers: [55, 21, 126]
Generated Node #2: [55, 21, 126] from Operation: 28+98=126
Current State: 61:[55, 21, 126], Operations: ['28+98=126']
Exploring Operation: 126/21=6, Resulting Numbers: [55, 6]
Generated Node #3: [55, 6] from Operation: 126/21=6
Current State: 61:[55, 6], Operations: ['28+98=126', '126/21=6']
Exploring Operation: 55+6=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
85,
24,
99,
25
] | 82 | [
"99-24=75",
"75/25=3",
"85-3=82"
] | Current State: 82:[85, 24, 99, 25], Operations: []
Exploring Operation: 99-24=75, Resulting Numbers: [85, 25, 75]
Generated Node #2: [85, 25, 75] from Operation: 99-24=75
Current State: 82:[85, 25, 75], Operations: ['99-24=75']
Exploring Operation: 75/25=3, Resulting Numbers: [85, 3]
Generated Node #3: [85, 3] from Operation: 75/25=3
Current State: 82:[85, 3], Operations: ['99-24=75', '75/25=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
25,
90,
35,
36
] | 41 | [
"90+35=125",
"125/25=5",
"36+5=41"
] | Current State: 41:[25, 90, 35, 36], Operations: []
Exploring Operation: 90+35=125, Resulting Numbers: [25, 36, 125]
Generated Node #2: [25, 36, 125] from Operation: 90+35=125
Current State: 41:[25, 36, 125], Operations: ['90+35=125']
Exploring Operation: 125/25=5, Resulting Numbers: [36, 5]
Generated Node #3: [36, 5] from Operation: 125/25=5
Current State: 41:[36, 5], Operations: ['90+35=125', '125/25=5']
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
11,
42,
7,
51
] | 36 | [
"11-7=4",
"51-42=9",
"4*9=36"
] | Current State: 36:[11, 42, 7, 51], Operations: []
Exploring Operation: 11-7=4, Resulting Numbers: [42, 51, 4]
Generated Node #2: [42, 51, 4] from Operation: 11-7=4
Current State: 36:[42, 51, 4], Operations: ['11-7=4']
Exploring Operation: 51-42=9, Resulting Numbers: [4, 9]
Generated Node #3: [4, 9] from Operation: 51-42=9
Current State: 36:[4, 9], Operations: ['11-7=4', '51-42=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
3,
29,
88,
2
] | 27 | [
"88-3=85",
"29*2=58",
"85-58=27"
] | Current State: 27:[3, 29, 88, 2], Operations: []
Exploring Operation: 88-3=85, Resulting Numbers: [29, 2, 85]
Generated Node #2: [29, 2, 85] from Operation: 88-3=85
Current State: 27:[29, 2, 85], Operations: ['88-3=85']
Exploring Operation: 29*2=58, Resulting Numbers: [85, 58]
Generated Node #3: [85, 58] from Operation: 29*2=58
Current State: 27:[85, 58], Operations: ['88-3=85', '29*2=58']
Exploring Operation: 85-58=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
22,
67,
88,
65
] | 33 | [
"88-22=66",
"67-65=2",
"66/2=33"
] | Current State: 33:[22, 67, 88, 65], Operations: []
Exploring Operation: 88-22=66, Resulting Numbers: [67, 65, 66]
Generated Node #2: [67, 65, 66] from Operation: 88-22=66
Current State: 33:[67, 65, 66], Operations: ['88-22=66']
Exploring Operation: 67-65=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 67-65=2
Current State: 33:[66, 2], Operations: ['88-22=66', '67-65=2']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
41,
11,
98,
49
] | 54 | [
"41+11=52",
"98/49=2",
"52+2=54"
] | Current State: 54:[41, 11, 98, 49], Operations: []
Exploring Operation: 41+11=52, Resulting Numbers: [98, 49, 52]
Generated Node #2: [98, 49, 52] from Operation: 41+11=52
Current State: 54:[98, 49, 52], Operations: ['41+11=52']
Exploring Operation: 98/49=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 98/49=2
Current State: 54:[52, 2], Operations: ['41+11=52', '98/49=2']
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
49,
33,
13,
80
] | 15 | [
"49+33=82",
"80-13=67",
"82-67=15"
] | Current State: 15:[49, 33, 13, 80], Operations: []
Exploring Operation: 49+33=82, Resulting Numbers: [13, 80, 82]
Generated Node #2: [13, 80, 82] from Operation: 49+33=82
Current State: 15:[13, 80, 82], Operations: ['49+33=82']
Exploring Operation: 80-13=67, Resulting Numbers: [82, 67]
Generated Node #3: [82, 67] from Operation: 80-13=67
Current State: 15:[82, 67], Operations: ['49+33=82', '80-13=67']
Exploring Operation: 82-67=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
57,
10,
89,
73
] | 63 | [
"57-10=47",
"89-73=16",
"47+16=63"
] | Current State: 63:[57, 10, 89, 73], Operations: []
Exploring Operation: 57-10=47, Resulting Numbers: [89, 73, 47]
Generated Node #2: [89, 73, 47] from Operation: 57-10=47
Current State: 63:[89, 73, 47], Operations: ['57-10=47']
Exploring Operation: 89-73=16, Resulting Numbers: [47, 16]
Generated Node #3: [47, 16] from Operation: 89-73=16
Current State: 63:[47, 16], Operations: ['57-10=47', '89-73=16']
Exploring Operation: 47+16=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
20,
55,
26,
70
] | 75 | [
"55*26=1430",
"70+1430=1500",
"1500/20=75"
] | Current State: 75:[20, 55, 26, 70], Operations: []
Exploring Operation: 55*26=1430, Resulting Numbers: [20, 70, 1430]
Generated Node #2: [20, 70, 1430] from Operation: 55*26=1430
Current State: 75:[20, 70, 1430], Operations: ['55*26=1430']
Exploring Operation: 70+1430=1500, Resulting Numbers: [20, 1500]
Generated Node #3: [20, 1500] from Operation: 70+1430=1500
Current State: 75:[20, 1500], Operations: ['55*26=1430', '70+1430=1500']
Exploring Operation: 1500/20=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
42,
32,
15,
20
] | 88 | [
"42*20=840",
"840/15=56",
"32+56=88"
] | Current State: 88:[42, 32, 15, 20], Operations: []
Exploring Operation: 42*20=840, Resulting Numbers: [32, 15, 840]
Generated Node #2: [32, 15, 840] from Operation: 42*20=840
Current State: 88:[32, 15, 840], Operations: ['42*20=840']
Exploring Operation: 840/15=56, Resulting Numbers: [32, 56]
Generated Node #3: [32, 56] from Operation: 840/15=56
Current State: 88:[32, 56], Operations: ['42*20=840', '840/15=56']
Exploring Operation: 32+56=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
89,
6,
92,
80
] | 17 | [
"92-80=12",
"6*12=72",
"89-72=17"
] | Current State: 17:[89, 6, 92, 80], Operations: []
Exploring Operation: 92-80=12, Resulting Numbers: [89, 6, 12]
Generated Node #2: [89, 6, 12] from Operation: 92-80=12
Current State: 17:[89, 6, 12], Operations: ['92-80=12']
Exploring Operation: 6*12=72, Resulting Numbers: [89, 72]
Generated Node #3: [89, 72] from Operation: 6*12=72
Current State: 17:[89, 72], Operations: ['92-80=12', '6*12=72']
Exploring Operation: 89-72=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
6,
52,
10,
56
] | 27 | [
"10-6=4",
"52+56=108",
"108/4=27"
] | Current State: 27:[6, 52, 10, 56], Operations: []
Exploring Operation: 10-6=4, Resulting Numbers: [52, 56, 4]
Generated Node #2: [52, 56, 4] from Operation: 10-6=4
Current State: 27:[52, 56, 4], Operations: ['10-6=4']
Exploring Operation: 52+56=108, Resulting Numbers: [4, 108]
Generated Node #3: [4, 108] from Operation: 52+56=108
Current State: 27:[4, 108], Operations: ['10-6=4', '52+56=108']
Exploring Operation: 108/4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
94,
29,
5,
58
] | 84 | [
"58/29=2",
"5*2=10",
"94-10=84"
] | Current State: 84:[94, 29, 5, 58], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [94, 5, 2]
Generated Node #2: [94, 5, 2] from Operation: 58/29=2
Current State: 84:[94, 5, 2], Operations: ['58/29=2']
Exploring Operation: 5*2=10, Resulting Numbers: [94, 10]
Generated Node #3: [94, 10] from Operation: 5*2=10
Current State: 84:[94, 10], Operations: ['58/29=2', '5*2=10']
Exploring Operation: 94-10=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
10,
63,
13,
1
] | 40 | [
"63-10=53",
"13*1=13",
"53-13=40"
] | Current State: 40:[10, 63, 13, 1], Operations: []
Exploring Operation: 63-10=53, Resulting Numbers: [13, 1, 53]
Generated Node #2: [13, 1, 53] from Operation: 63-10=53
Current State: 40:[13, 1, 53], Operations: ['63-10=53']
Exploring Operation: 13*1=13, Resulting Numbers: [53, 13]
Generated Node #3: [53, 13] from Operation: 13*1=13
Current State: 40:[53, 13], Operations: ['63-10=53', '13*1=13']
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
47,
27,
28,
46
] | 94 | [
"47-27=20",
"28+46=74",
"20+74=94"
] | Current State: 94:[47, 27, 28, 46], Operations: []
Exploring Operation: 47-27=20, Resulting Numbers: [28, 46, 20]
Generated Node #2: [28, 46, 20] from Operation: 47-27=20
Current State: 94:[28, 46, 20], Operations: ['47-27=20']
Exploring Operation: 28+46=74, Resulting Numbers: [20, 74]
Generated Node #3: [20, 74] from Operation: 28+46=74
Current State: 94:[20, 74], Operations: ['47-27=20', '28+46=74']
Exploring Operation: 20+74=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
68,
5,
40,
33
] | 15 | [
"68+40=108",
"108-33=75",
"75/5=15"
] | Current State: 15:[68, 5, 40, 33], Operations: []
Exploring Operation: 68+40=108, Resulting Numbers: [5, 33, 108]
Generated Node #2: [5, 33, 108] from Operation: 68+40=108
Current State: 15:[5, 33, 108], Operations: ['68+40=108']
Exploring Operation: 108-33=75, Resulting Numbers: [5, 75]
Generated Node #3: [5, 75] from Operation: 108-33=75
Current State: 15:[5, 75], Operations: ['68+40=108', '108-33=75']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
66,
22,
57,
47
] | 16 | [
"66+22=88",
"57+47=104",
"104-88=16"
] | Current State: 16:[66, 22, 57, 47], Operations: []
Exploring Operation: 66+22=88, Resulting Numbers: [57, 47, 88]
Generated Node #2: [57, 47, 88] from Operation: 66+22=88
Current State: 16:[57, 47, 88], Operations: ['66+22=88']
Exploring Operation: 57+47=104, Resulting Numbers: [88, 104]
Generated Node #3: [88, 104] from Operation: 57+47=104
Current State: 16:[88, 104], Operations: ['66+22=88', '57+47=104']
Exploring Operation: 104-88=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
88,
50,
28,
17
] | 68 | [
"88*17=1496",
"50-28=22",
"1496/22=68"
] | Current State: 68:[88, 50, 28, 17], Operations: []
Exploring Operation: 88*17=1496, Resulting Numbers: [50, 28, 1496]
Generated Node #2: [50, 28, 1496] from Operation: 88*17=1496
Current State: 68:[50, 28, 1496], Operations: ['88*17=1496']
Exploring Operation: 50-28=22, Resulting Numbers: [1496, 22]
Generated Node #3: [1496, 22] from Operation: 50-28=22
Current State: 68:[1496, 22], Operations: ['88*17=1496', '50-28=22']
Exploring Operation: 1496/22=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
22,
8,
11,
73
] | 92 | [
"22+8=30",
"73-11=62",
"30+62=92"
] | Current State: 92:[22, 8, 11, 73], Operations: []
Exploring Operation: 22+8=30, Resulting Numbers: [11, 73, 30]
Generated Node #2: [11, 73, 30] from Operation: 22+8=30
Current State: 92:[11, 73, 30], Operations: ['22+8=30']
Exploring Operation: 73-11=62, Resulting Numbers: [30, 62]
Generated Node #3: [30, 62] from Operation: 73-11=62
Current State: 92:[30, 62], Operations: ['22+8=30', '73-11=62']
Exploring Operation: 30+62=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
36,
95,
45,
78
] | 26 | [
"95-36=59",
"78-45=33",
"59-33=26"
] | Current State: 26:[36, 95, 45, 78], Operations: []
Exploring Operation: 95-36=59, Resulting Numbers: [45, 78, 59]
Generated Node #2: [45, 78, 59] from Operation: 95-36=59
Current State: 26:[45, 78, 59], Operations: ['95-36=59']
Exploring Operation: 78-45=33, Resulting Numbers: [59, 33]
Generated Node #3: [59, 33] from Operation: 78-45=33
Current State: 26:[59, 33], Operations: ['95-36=59', '78-45=33']
Exploring Operation: 59-33=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
60,
17,
71,
20
] | 85 | [
"60/20=3",
"17+71=88",
"88-3=85"
] | Current State: 85:[60, 17, 71, 20], Operations: []
Exploring Operation: 60/20=3, Resulting Numbers: [17, 71, 3]
Generated Node #2: [17, 71, 3] from Operation: 60/20=3
Current State: 85:[17, 71, 3], Operations: ['60/20=3']
Exploring Operation: 17+71=88, Resulting Numbers: [3, 88]
Generated Node #3: [3, 88] from Operation: 17+71=88
Current State: 85:[3, 88], Operations: ['60/20=3', '17+71=88']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
46,
86,
22,
29
] | 47 | [
"86-46=40",
"29-22=7",
"40+7=47"
] | Current State: 47:[46, 86, 22, 29], Operations: []
Exploring Operation: 86-46=40, Resulting Numbers: [22, 29, 40]
Generated Node #2: [22, 29, 40] from Operation: 86-46=40
Current State: 47:[22, 29, 40], Operations: ['86-46=40']
Exploring Operation: 29-22=7, Resulting Numbers: [40, 7]
Generated Node #3: [40, 7] from Operation: 29-22=7
Current State: 47:[40, 7], Operations: ['86-46=40', '29-22=7']
Exploring Operation: 40+7=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
22,
85,
85,
87
] | 74 | [
"87-85=2",
"22/2=11",
"85-11=74"
] | Current State: 74:[22, 85, 85, 87], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [22, 2]
Generated Node #2: [22, 2] from Operation: 87-85=2
Current State: 74:[22, 2], Operations: ['87-85=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,74 equal: Goal Reached
Exploring Operation: 85-11=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
37,
33,
23,
8
] | 84 | [
"37-33=4",
"23*4=92",
"92-8=84"
] | Current State: 84:[37, 33, 23, 8], Operations: []
Exploring Operation: 37-33=4, Resulting Numbers: [23, 8, 4]
Generated Node #2: [23, 8, 4] from Operation: 37-33=4
Current State: 84:[23, 8, 4], Operations: ['37-33=4']
Exploring Operation: 23*4=92, Resulting Numbers: [8, 92]
Generated Node #3: [8, 92] from Operation: 23*4=92
Current State: 84:[8, 92], Operations: ['37-33=4', '23*4=92']
Exploring Operation: 92-8=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
35,
7,
20,
26
] | 34 | [
"35-7=28",
"26-20=6",
"28+6=34"
] | Current State: 34:[35, 7, 20, 26], Operations: []
Exploring Operation: 35-7=28, Resulting Numbers: [20, 26, 28]
Generated Node #2: [20, 26, 28] from Operation: 35-7=28
Current State: 34:[20, 26, 28], Operations: ['35-7=28']
Exploring Operation: 26-20=6, Resulting Numbers: [28, 6]
Generated Node #3: [28, 6] from Operation: 26-20=6
Current State: 34:[28, 6], Operations: ['35-7=28', '26-20=6']
Exploring Operation: 28+6=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
39,
13,
77,
29
] | 100 | [
"39+13=52",
"77-29=48",
"52+48=100"
] | Current State: 100:[39, 13, 77, 29], Operations: []
Exploring Operation: 39+13=52, Resulting Numbers: [77, 29, 52]
Generated Node #2: [77, 29, 52] from Operation: 39+13=52
Current State: 100:[77, 29, 52], Operations: ['39+13=52']
Exploring Operation: 77-29=48, Resulting Numbers: [52, 48]
Generated Node #3: [52, 48] from Operation: 77-29=48
Current State: 100:[52, 48], Operations: ['39+13=52', '77-29=48']
Exploring Operation: 52+48=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
43,
9,
75,
11
] | 64 | [
"75-43=32",
"11-9=2",
"32*2=64"
] | Current State: 64:[43, 9, 75, 11], Operations: []
Exploring Operation: 75-43=32, Resulting Numbers: [9, 11, 32]
Generated Node #2: [9, 11, 32] from Operation: 75-43=32
Current State: 64:[9, 11, 32], Operations: ['75-43=32']
Exploring Operation: 11-9=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 11-9=2
Current State: 64:[32, 2], Operations: ['75-43=32', '11-9=2']
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
58,
94,
94,
41
] | 89 | [
"94-58=36",
"94-41=53",
"36+53=89"
] | Current State: 89:[58, 94, 94, 41], Operations: []
Exploring Operation: 94-58=36, Resulting Numbers: [41, 36]
Generated Node #2: [41, 36] from Operation: 94-58=36
Current State: 89:[41, 36], Operations: ['94-58=36']
Exploring Operation: 94-41=53, Resulting Numbers: [36, 53]
Generated Node #3: [36, 53] from Operation: 94-41=53
Current State: 89:[36, 53], Operations: ['94-58=36', '94-41=53']
Exploring Operation: 36+53=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
26,
54,
47,
58
] | 84 | [
"47-26=21",
"58-54=4",
"21*4=84"
] | Current State: 84:[26, 54, 47, 58], Operations: []
Exploring Operation: 47-26=21, Resulting Numbers: [54, 58, 21]
Generated Node #2: [54, 58, 21] from Operation: 47-26=21
Current State: 84:[54, 58, 21], Operations: ['47-26=21']
Exploring Operation: 58-54=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 58-54=4
Current State: 84:[21, 4], Operations: ['47-26=21', '58-54=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
52,
2,
57,
1
] | 47 | [
"52*2=104",
"57*1=57",
"104-57=47"
] | Current State: 47:[52, 2, 57, 1], Operations: []
Exploring Operation: 52*2=104, Resulting Numbers: [57, 1, 104]
Generated Node #2: [57, 1, 104] from Operation: 52*2=104
Current State: 47:[57, 1, 104], Operations: ['52*2=104']
Exploring Operation: 57*1=57, Resulting Numbers: [104, 57]
Generated Node #3: [104, 57] from Operation: 57*1=57
Current State: 47:[104, 57], Operations: ['52*2=104', '57*1=57']
Exploring Operation: 104-57=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
43,
9,
7,
36
] | 77 | [
"43-9=34",
"7+36=43",
"34+43=77"
] | Current State: 77:[43, 9, 7, 36], Operations: []
Exploring Operation: 43-9=34, Resulting Numbers: [7, 36, 34]
Generated Node #2: [7, 36, 34] from Operation: 43-9=34
Current State: 77:[7, 36, 34], Operations: ['43-9=34']
Exploring Operation: 7+36=43, Resulting Numbers: [34, 43]
Generated Node #3: [34, 43] from Operation: 7+36=43
Current State: 77:[34, 43], Operations: ['43-9=34', '7+36=43']
Exploring Operation: 34+43=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
24,
10,
60,
23
] | 51 | [
"24-10=14",
"60-23=37",
"14+37=51"
] | Current State: 51:[24, 10, 60, 23], Operations: []
Exploring Operation: 24-10=14, Resulting Numbers: [60, 23, 14]
Generated Node #2: [60, 23, 14] from Operation: 24-10=14
Current State: 51:[60, 23, 14], Operations: ['24-10=14']
Exploring Operation: 60-23=37, Resulting Numbers: [14, 37]
Generated Node #3: [14, 37] from Operation: 60-23=37
Current State: 51:[14, 37], Operations: ['24-10=14', '60-23=37']
Exploring Operation: 14+37=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
53,
11,
51,
3
] | 65 | [
"53-11=42",
"42/3=14",
"51+14=65"
] | Current State: 65:[53, 11, 51, 3], Operations: []
Exploring Operation: 53-11=42, Resulting Numbers: [51, 3, 42]
Generated Node #2: [51, 3, 42] from Operation: 53-11=42
Current State: 65:[51, 3, 42], Operations: ['53-11=42']
Exploring Operation: 42/3=14, Resulting Numbers: [51, 14]
Generated Node #3: [51, 14] from Operation: 42/3=14
Current State: 65:[51, 14], Operations: ['53-11=42', '42/3=14']
Exploring Operation: 51+14=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
8,
44,
57,
3
] | 65 | [
"8-3=5",
"57-44=13",
"5*13=65"
] | Current State: 65:[8, 44, 57, 3], Operations: []
Exploring Operation: 8-3=5, Resulting Numbers: [44, 57, 5]
Generated Node #2: [44, 57, 5] from Operation: 8-3=5
Current State: 65:[44, 57, 5], Operations: ['8-3=5']
Exploring Operation: 57-44=13, Resulting Numbers: [5, 13]
Generated Node #3: [5, 13] from Operation: 57-44=13
Current State: 65:[5, 13], Operations: ['8-3=5', '57-44=13']
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
46,
92,
56,
72
] | 32 | [
"92/46=2",
"72-56=16",
"2*16=32"
] | Current State: 32:[46, 92, 56, 72], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [56, 72, 2]
Generated Node #2: [56, 72, 2] from Operation: 92/46=2
Current State: 32:[56, 72, 2], Operations: ['92/46=2']
Exploring Operation: 72-56=16, Resulting Numbers: [2, 16]
Generated Node #3: [2, 16] from Operation: 72-56=16
Current State: 32:[2, 16], Operations: ['92/46=2', '72-56=16']
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
30,
8,
83,
70
] | 51 | [
"30+8=38",
"83-70=13",
"38+13=51"
] | Current State: 51:[30, 8, 83, 70], Operations: []
Exploring Operation: 30+8=38, Resulting Numbers: [83, 70, 38]
Generated Node #2: [83, 70, 38] from Operation: 30+8=38
Current State: 51:[83, 70, 38], Operations: ['30+8=38']
Exploring Operation: 83-70=13, Resulting Numbers: [38, 13]
Generated Node #3: [38, 13] from Operation: 83-70=13
Current State: 51:[38, 13], Operations: ['30+8=38', '83-70=13']
Exploring Operation: 38+13=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
63,
31,
92,
42
] | 84 | [
"63+31=94",
"94-92=2",
"42*2=84"
] | Current State: 84:[63, 31, 92, 42], Operations: []
Exploring Operation: 63+31=94, Resulting Numbers: [92, 42, 94]
Generated Node #2: [92, 42, 94] from Operation: 63+31=94
Current State: 84:[92, 42, 94], Operations: ['63+31=94']
Exploring Operation: 94-92=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 94-92=2
Current State: 84:[42, 2], Operations: ['63+31=94', '94-92=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
19,
3,
40,
17
] | 17 | [
"19-17=2",
"40/2=20",
"20-3=17"
] | Current State: 17:[19, 3, 40, 17], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [3, 40, 2]
Generated Node #2: [3, 40, 2] from Operation: 19-17=2
Current State: 17:[3, 40, 2], Operations: ['19-17=2']
Exploring Operation: 40/2=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 40/2=20
Current State: 17:[3, 20], Operations: ['19-17=2', '40/2=20']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
72,
31,
39,
65
] | 52 | [
"31+65=96",
"39*96=3744",
"3744/72=52"
] | Current State: 52:[72, 31, 39, 65], Operations: []
Exploring Operation: 31+65=96, Resulting Numbers: [72, 39, 96]
Generated Node #2: [72, 39, 96] from Operation: 31+65=96
Current State: 52:[72, 39, 96], Operations: ['31+65=96']
Exploring Operation: 39*96=3744, Resulting Numbers: [72, 3744]
Generated Node #3: [72, 3744] from Operation: 39*96=3744
Current State: 52:[72, 3744], Operations: ['31+65=96', '39*96=3744']
Exploring Operation: 3744/72=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
20,
40,
2,
77
] | 55 | [
"40-20=20",
"77-2=75",
"75-20=55"
] | Current State: 55:[20, 40, 2, 77], Operations: []
Exploring Operation: 40-20=20, Resulting Numbers: [2, 77, 20]
Generated Node #2: [2, 77, 20] from Operation: 40-20=20
Current State: 55:[2, 77, 20], Operations: ['40-20=20']
Exploring Operation: 77-2=75, Resulting Numbers: [20, 75]
Generated Node #3: [20, 75] from Operation: 77-2=75
Current State: 55:[20, 75], Operations: ['40-20=20', '77-2=75']
Exploring Operation: 75-20=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
25,
2,
16,
38
] | 42 | [
"38-25=13",
"2*13=26",
"16+26=42"
] | Current State: 42:[25, 2, 16, 38], Operations: []
Exploring Operation: 38-25=13, Resulting Numbers: [2, 16, 13]
Generated Node #2: [2, 16, 13] from Operation: 38-25=13
Current State: 42:[2, 16, 13], Operations: ['38-25=13']
Exploring Operation: 2*13=26, Resulting Numbers: [16, 26]
Generated Node #3: [16, 26] from Operation: 2*13=26
Current State: 42:[16, 26], Operations: ['38-25=13', '2*13=26']
Exploring Operation: 16+26=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
56,
34,
22,
2
] | 28 | [
"56/2=28",
"34+22=56",
"56-28=28"
] | Current State: 28:[56, 34, 22, 2], Operations: []
Exploring Operation: 56/2=28, Resulting Numbers: [34, 22, 28]
Generated Node #2: [34, 22, 28] from Operation: 56/2=28
Current State: 28:[34, 22, 28], Operations: ['56/2=28']
Exploring Operation: 34+22=56, Resulting Numbers: [28, 56]
Generated Node #3: [28, 56] from Operation: 34+22=56
Current State: 28:[28, 56], Operations: ['56/2=28', '34+22=56']
Exploring Operation: 56-28=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
27,
71,
86,
55
] | 99 | [
"27*55=1485",
"86-71=15",
"1485/15=99"
] | Current State: 99:[27, 71, 86, 55], Operations: []
Exploring Operation: 27*55=1485, Resulting Numbers: [71, 86, 1485]
Generated Node #2: [71, 86, 1485] from Operation: 27*55=1485
Current State: 99:[71, 86, 1485], Operations: ['27*55=1485']
Exploring Operation: 86-71=15, Resulting Numbers: [1485, 15]
Generated Node #3: [1485, 15] from Operation: 86-71=15
Current State: 99:[1485, 15], Operations: ['27*55=1485', '86-71=15']
Exploring Operation: 1485/15=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
2,
17,
4,
17
] | 85 | [
"2+4=6",
"17*6=102",
"102-17=85"
] | Current State: 85:[2, 17, 4, 17], Operations: []
Exploring Operation: 2+4=6, Resulting Numbers: [17, 17, 6]
Generated Node #2: [17, 17, 6] from Operation: 2+4=6
Current State: 85:[17, 17, 6], Operations: ['2+4=6']
Exploring Operation: 17*6=102, Resulting Numbers: [102]
102,85 equal: Goal Reached
Exploring Operation: 102-17=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
73,
34,
11,
6
] | 44 | [
"73-34=39",
"11-6=5",
"39+5=44"
] | Current State: 44:[73, 34, 11, 6], Operations: []
Exploring Operation: 73-34=39, Resulting Numbers: [11, 6, 39]
Generated Node #2: [11, 6, 39] from Operation: 73-34=39
Current State: 44:[11, 6, 39], Operations: ['73-34=39']
Exploring Operation: 11-6=5, Resulting Numbers: [39, 5]
Generated Node #3: [39, 5] from Operation: 11-6=5
Current State: 44:[39, 5], Operations: ['73-34=39', '11-6=5']
Exploring Operation: 39+5=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
80,
40,
67,
16
] | 53 | [
"80/40=2",
"67-16=51",
"2+51=53"
] | Current State: 53:[80, 40, 67, 16], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [67, 16, 2]
Generated Node #2: [67, 16, 2] from Operation: 80/40=2
Current State: 53:[67, 16, 2], Operations: ['80/40=2']
Exploring Operation: 67-16=51, Resulting Numbers: [2, 51]
Generated Node #3: [2, 51] from Operation: 67-16=51
Current State: 53:[2, 51], Operations: ['80/40=2', '67-16=51']
Exploring Operation: 2+51=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
44,
92,
76,
21
] | 26 | [
"92*21=1932",
"44+1932=1976",
"1976/76=26"
] | Current State: 26:[44, 92, 76, 21], Operations: []
Exploring Operation: 92*21=1932, Resulting Numbers: [44, 76, 1932]
Generated Node #2: [44, 76, 1932] from Operation: 92*21=1932
Current State: 26:[44, 76, 1932], Operations: ['92*21=1932']
Exploring Operation: 44+1932=1976, Resulting Numbers: [76, 1976]
Generated Node #3: [76, 1976] from Operation: 44+1932=1976
Current State: 26:[76, 1976], Operations: ['92*21=1932', '44+1932=1976']
Exploring Operation: 1976/76=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
70,
77,
53,
91
] | 47 | [
"70*53=3710",
"3710-91=3619",
"3619/77=47"
] | Current State: 47:[70, 77, 53, 91], Operations: []
Exploring Operation: 70*53=3710, Resulting Numbers: [77, 91, 3710]
Generated Node #2: [77, 91, 3710] from Operation: 70*53=3710
Current State: 47:[77, 91, 3710], Operations: ['70*53=3710']
Exploring Operation: 3710-91=3619, Resulting Numbers: [77, 3619]
Generated Node #3: [77, 3619] from Operation: 3710-91=3619
Current State: 47:[77, 3619], Operations: ['70*53=3710', '3710-91=3619']
Exploring Operation: 3619/77=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
63,
31,
17,
22
] | 26 | [
"63+22=85",
"85/17=5",
"31-5=26"
] | Current State: 26:[63, 31, 17, 22], Operations: []
Exploring Operation: 63+22=85, Resulting Numbers: [31, 17, 85]
Generated Node #2: [31, 17, 85] from Operation: 63+22=85
Current State: 26:[31, 17, 85], Operations: ['63+22=85']
Exploring Operation: 85/17=5, Resulting Numbers: [31, 5]
Generated Node #3: [31, 5] from Operation: 85/17=5
Current State: 26:[31, 5], Operations: ['63+22=85', '85/17=5']
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
74,
2,
22,
67
] | 17 | [
"74-2=72",
"22+67=89",
"89-72=17"
] | Current State: 17:[74, 2, 22, 67], Operations: []
Exploring Operation: 74-2=72, Resulting Numbers: [22, 67, 72]
Generated Node #2: [22, 67, 72] from Operation: 74-2=72
Current State: 17:[22, 67, 72], Operations: ['74-2=72']
Exploring Operation: 22+67=89, Resulting Numbers: [72, 89]
Generated Node #3: [72, 89] from Operation: 22+67=89
Current State: 17:[72, 89], Operations: ['74-2=72', '22+67=89']
Exploring Operation: 89-72=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
32,
13,
9,
34
] | 83 | [
"32*34=1088",
"1088-9=1079",
"1079/13=83"
] | Current State: 83:[32, 13, 9, 34], Operations: []
Exploring Operation: 32*34=1088, Resulting Numbers: [13, 9, 1088]
Generated Node #2: [13, 9, 1088] from Operation: 32*34=1088
Current State: 83:[13, 9, 1088], Operations: ['32*34=1088']
Exploring Operation: 1088-9=1079, Resulting Numbers: [13, 1079]
Generated Node #3: [13, 1079] from Operation: 1088-9=1079
Current State: 83:[13, 1079], Operations: ['32*34=1088', '1088-9=1079']
Exploring Operation: 1079/13=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
25,
39,
67,
23
] | 35 | [
"25+67=92",
"92/23=4",
"39-4=35"
] | Current State: 35:[25, 39, 67, 23], Operations: []
Exploring Operation: 25+67=92, Resulting Numbers: [39, 23, 92]
Generated Node #2: [39, 23, 92] from Operation: 25+67=92
Current State: 35:[39, 23, 92], Operations: ['25+67=92']
Exploring Operation: 92/23=4, Resulting Numbers: [39, 4]
Generated Node #3: [39, 4] from Operation: 92/23=4
Current State: 35:[39, 4], Operations: ['25+67=92', '92/23=4']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
43,
94,
36,
5
] | 59 | [
"43-36=7",
"5*7=35",
"94-35=59"
] | Current State: 59:[43, 94, 36, 5], Operations: []
Exploring Operation: 43-36=7, Resulting Numbers: [94, 5, 7]
Generated Node #2: [94, 5, 7] from Operation: 43-36=7
Current State: 59:[94, 5, 7], Operations: ['43-36=7']
Exploring Operation: 5*7=35, Resulting Numbers: [94, 35]
Generated Node #3: [94, 35] from Operation: 5*7=35
Current State: 59:[94, 35], Operations: ['43-36=7', '5*7=35']
Exploring Operation: 94-35=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
45,
69,
35,
23
] | 34 | [
"69-45=24",
"35+23=58",
"58-24=34"
] | Current State: 34:[45, 69, 35, 23], Operations: []
Exploring Operation: 69-45=24, Resulting Numbers: [35, 23, 24]
Generated Node #2: [35, 23, 24] from Operation: 69-45=24
Current State: 34:[35, 23, 24], Operations: ['69-45=24']
Exploring Operation: 35+23=58, Resulting Numbers: [24, 58]
Generated Node #3: [24, 58] from Operation: 35+23=58
Current State: 34:[24, 58], Operations: ['69-45=24', '35+23=58']
Exploring Operation: 58-24=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
34,
7,
13,
44
] | 16 | [
"34+7=41",
"13+44=57",
"57-41=16"
] | Current State: 16:[34, 7, 13, 44], Operations: []
Exploring Operation: 34+7=41, Resulting Numbers: [13, 44, 41]
Generated Node #2: [13, 44, 41] from Operation: 34+7=41
Current State: 16:[13, 44, 41], Operations: ['34+7=41']
Exploring Operation: 13+44=57, Resulting Numbers: [41, 57]
Generated Node #3: [41, 57] from Operation: 13+44=57
Current State: 16:[41, 57], Operations: ['34+7=41', '13+44=57']
Exploring Operation: 57-41=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
65,
67,
73,
70
] | 76 | [
"67-65=2",
"73*2=146",
"146-70=76"
] | Current State: 76:[65, 67, 73, 70], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [73, 70, 2]
Generated Node #2: [73, 70, 2] from Operation: 67-65=2
Current State: 76:[73, 70, 2], Operations: ['67-65=2']
Exploring Operation: 73*2=146, Resulting Numbers: [70, 146]
Generated Node #3: [70, 146] from Operation: 73*2=146
Current State: 76:[70, 146], Operations: ['67-65=2', '73*2=146']
Exploring Operation: 146-70=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
48,
12,
48,
92
] | 79 | [
"48/48=1",
"92-12=80",
"80-1=79"
] | Current State: 79:[48, 12, 48, 92], Operations: []
Exploring Operation: 48/48=1, Resulting Numbers: [12, 92, 1]
Generated Node #2: [12, 92, 1] from Operation: 48/48=1
Current State: 79:[12, 92, 1], Operations: ['48/48=1']
Exploring Operation: 92-12=80, Resulting Numbers: [1, 80]
Generated Node #3: [1, 80] from Operation: 92-12=80
Current State: 79:[1, 80], Operations: ['48/48=1', '92-12=80']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
91,
9,
6,
95
] | 58 | [
"95-91=4",
"9*6=54",
"4+54=58"
] | Current State: 58:[91, 9, 6, 95], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [9, 6, 4]
Generated Node #2: [9, 6, 4] from Operation: 95-91=4
Current State: 58:[9, 6, 4], Operations: ['95-91=4']
Exploring Operation: 9*6=54, Resulting Numbers: [4, 54]
Generated Node #3: [4, 54] from Operation: 9*6=54
Current State: 58:[4, 54], Operations: ['95-91=4', '9*6=54']
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
35,
12,
14,
52
] | 89 | [
"35-12=23",
"14+52=66",
"23+66=89"
] | Current State: 89:[35, 12, 14, 52], Operations: []
Exploring Operation: 35-12=23, Resulting Numbers: [14, 52, 23]
Generated Node #2: [14, 52, 23] from Operation: 35-12=23
Current State: 89:[14, 52, 23], Operations: ['35-12=23']
Exploring Operation: 14+52=66, Resulting Numbers: [23, 66]
Generated Node #3: [23, 66] from Operation: 14+52=66
Current State: 89:[23, 66], Operations: ['35-12=23', '14+52=66']
Exploring Operation: 23+66=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
34,
15,
45,
98
] | 72 | [
"34-15=19",
"98-45=53",
"19+53=72"
] | Current State: 72:[34, 15, 45, 98], Operations: []
Exploring Operation: 34-15=19, Resulting Numbers: [45, 98, 19]
Generated Node #2: [45, 98, 19] from Operation: 34-15=19
Current State: 72:[45, 98, 19], Operations: ['34-15=19']
Exploring Operation: 98-45=53, Resulting Numbers: [19, 53]
Generated Node #3: [19, 53] from Operation: 98-45=53
Current State: 72:[19, 53], Operations: ['34-15=19', '98-45=53']
Exploring Operation: 19+53=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
6,
18,
29,
24
] | 22 | [
"18*29=522",
"6+522=528",
"528/24=22"
] | Current State: 22:[6, 18, 29, 24], Operations: []
Exploring Operation: 18*29=522, Resulting Numbers: [6, 24, 522]
Generated Node #2: [6, 24, 522] from Operation: 18*29=522
Current State: 22:[6, 24, 522], Operations: ['18*29=522']
Exploring Operation: 6+522=528, Resulting Numbers: [24, 528]
Generated Node #3: [24, 528] from Operation: 6+522=528
Current State: 22:[24, 528], Operations: ['18*29=522', '6+522=528']
Exploring Operation: 528/24=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
38,
28,
33,
82
] | 98 | [
"33*82=2706",
"38+2706=2744",
"2744/28=98"
] | Current State: 98:[38, 28, 33, 82], Operations: []
Exploring Operation: 33*82=2706, Resulting Numbers: [38, 28, 2706]
Generated Node #2: [38, 28, 2706] from Operation: 33*82=2706
Current State: 98:[38, 28, 2706], Operations: ['33*82=2706']
Exploring Operation: 38+2706=2744, Resulting Numbers: [28, 2744]
Generated Node #3: [28, 2744] from Operation: 38+2706=2744
Current State: 98:[28, 2744], Operations: ['33*82=2706', '38+2706=2744']
Exploring Operation: 2744/28=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
48,
37,
86,
72
] | 92 | [
"86*72=6192",
"6192/48=129",
"129-37=92"
] | Current State: 92:[48, 37, 86, 72], Operations: []
Exploring Operation: 86*72=6192, Resulting Numbers: [48, 37, 6192]
Generated Node #2: [48, 37, 6192] from Operation: 86*72=6192
Current State: 92:[48, 37, 6192], Operations: ['86*72=6192']
Exploring Operation: 6192/48=129, Resulting Numbers: [37, 129]
Generated Node #3: [37, 129] from Operation: 6192/48=129
Current State: 92:[37, 129], Operations: ['86*72=6192', '6192/48=129']
Exploring Operation: 129-37=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
69,
35,
42,
9
] | 67 | [
"69-35=34",
"42-9=33",
"34+33=67"
] | Current State: 67:[69, 35, 42, 9], Operations: []
Exploring Operation: 69-35=34, Resulting Numbers: [42, 9, 34]
Generated Node #2: [42, 9, 34] from Operation: 69-35=34
Current State: 67:[42, 9, 34], Operations: ['69-35=34']
Exploring Operation: 42-9=33, Resulting Numbers: [34, 33]
Generated Node #3: [34, 33] from Operation: 42-9=33
Current State: 67:[34, 33], Operations: ['69-35=34', '42-9=33']
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
8,
75,
12,
38
] | 57 | [
"8+75=83",
"38-12=26",
"83-26=57"
] | Current State: 57:[8, 75, 12, 38], Operations: []
Exploring Operation: 8+75=83, Resulting Numbers: [12, 38, 83]
Generated Node #2: [12, 38, 83] from Operation: 8+75=83
Current State: 57:[12, 38, 83], Operations: ['8+75=83']
Exploring Operation: 38-12=26, Resulting Numbers: [83, 26]
Generated Node #3: [83, 26] from Operation: 38-12=26
Current State: 57:[83, 26], Operations: ['8+75=83', '38-12=26']
Exploring Operation: 83-26=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
63,
70,
56,
84
] | 82 | [
"63-56=7",
"84/7=12",
"70+12=82"
] | Current State: 82:[63, 70, 56, 84], Operations: []
Exploring Operation: 63-56=7, Resulting Numbers: [70, 84, 7]
Generated Node #2: [70, 84, 7] from Operation: 63-56=7
Current State: 82:[70, 84, 7], Operations: ['63-56=7']
Exploring Operation: 84/7=12, Resulting Numbers: [70, 12]
Generated Node #3: [70, 12] from Operation: 84/7=12
Current State: 82:[70, 12], Operations: ['63-56=7', '84/7=12']
Exploring Operation: 70+12=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
11,
24,
98,
57
] | 95 | [
"57-24=33",
"33/11=3",
"98-3=95"
] | Current State: 95:[11, 24, 98, 57], Operations: []
Exploring Operation: 57-24=33, Resulting Numbers: [11, 98, 33]
Generated Node #2: [11, 98, 33] from Operation: 57-24=33
Current State: 95:[11, 98, 33], Operations: ['57-24=33']
Exploring Operation: 33/11=3, Resulting Numbers: [98, 3]
Generated Node #3: [98, 3] from Operation: 33/11=3
Current State: 95:[98, 3], Operations: ['57-24=33', '33/11=3']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
85,
32,
22,
98
] | 23 | [
"85-32=53",
"98-22=76",
"76-53=23"
] | Current State: 23:[85, 32, 22, 98], Operations: []
Exploring Operation: 85-32=53, Resulting Numbers: [22, 98, 53]
Generated Node #2: [22, 98, 53] from Operation: 85-32=53
Current State: 23:[22, 98, 53], Operations: ['85-32=53']
Exploring Operation: 98-22=76, Resulting Numbers: [53, 76]
Generated Node #3: [53, 76] from Operation: 98-22=76
Current State: 23:[53, 76], Operations: ['85-32=53', '98-22=76']
Exploring Operation: 76-53=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
80,
30,
34,
89
] | 73 | [
"80-30=50",
"34+89=123",
"123-50=73"
] | Current State: 73:[80, 30, 34, 89], Operations: []
Exploring Operation: 80-30=50, Resulting Numbers: [34, 89, 50]
Generated Node #2: [34, 89, 50] from Operation: 80-30=50
Current State: 73:[34, 89, 50], Operations: ['80-30=50']
Exploring Operation: 34+89=123, Resulting Numbers: [50, 123]
Generated Node #3: [50, 123] from Operation: 34+89=123
Current State: 73:[50, 123], Operations: ['80-30=50', '34+89=123']
Exploring Operation: 123-50=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
10,
53,
21,
39
] | 59 | [
"21+39=60",
"60/10=6",
"53+6=59"
] | Current State: 59:[10, 53, 21, 39], Operations: []
Exploring Operation: 21+39=60, Resulting Numbers: [10, 53, 60]
Generated Node #2: [10, 53, 60] from Operation: 21+39=60
Current State: 59:[10, 53, 60], Operations: ['21+39=60']
Exploring Operation: 60/10=6, Resulting Numbers: [53, 6]
Generated Node #3: [53, 6] from Operation: 60/10=6
Current State: 59:[53, 6], Operations: ['21+39=60', '60/10=6']
Exploring Operation: 53+6=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
81,
21,
35,
63
] | 62 | [
"81*21=1701",
"1701/63=27",
"35+27=62"
] | Current State: 62:[81, 21, 35, 63], Operations: []
Exploring Operation: 81*21=1701, Resulting Numbers: [35, 63, 1701]
Generated Node #2: [35, 63, 1701] from Operation: 81*21=1701
Current State: 62:[35, 63, 1701], Operations: ['81*21=1701']
Exploring Operation: 1701/63=27, Resulting Numbers: [35, 27]
Generated Node #3: [35, 27] from Operation: 1701/63=27
Current State: 62:[35, 27], Operations: ['81*21=1701', '1701/63=27']
Exploring Operation: 35+27=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
42,
94,
35,
18
] | 79 | [
"35*18=630",
"630/42=15",
"94-15=79"
] | Current State: 79:[42, 94, 35, 18], Operations: []
Exploring Operation: 35*18=630, Resulting Numbers: [42, 94, 630]
Generated Node #2: [42, 94, 630] from Operation: 35*18=630
Current State: 79:[42, 94, 630], Operations: ['35*18=630']
Exploring Operation: 630/42=15, Resulting Numbers: [94, 15]
Generated Node #3: [94, 15] from Operation: 630/42=15
Current State: 79:[94, 15], Operations: ['35*18=630', '630/42=15']
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
75,
99,
29,
48
] | 58 | [
"99-75=24",
"29*48=1392",
"1392/24=58"
] | Current State: 58:[75, 99, 29, 48], Operations: []
Exploring Operation: 99-75=24, Resulting Numbers: [29, 48, 24]
Generated Node #2: [29, 48, 24] from Operation: 99-75=24
Current State: 58:[29, 48, 24], Operations: ['99-75=24']
Exploring Operation: 29*48=1392, Resulting Numbers: [24, 1392]
Generated Node #3: [24, 1392] from Operation: 29*48=1392
Current State: 58:[24, 1392], Operations: ['99-75=24', '29*48=1392']
Exploring Operation: 1392/24=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
34,
77,
68,
6
] | 73 | [
"68/34=2",
"77-6=71",
"2+71=73"
] | Current State: 73:[34, 77, 68, 6], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [77, 6, 2]
Generated Node #2: [77, 6, 2] from Operation: 68/34=2
Current State: 73:[77, 6, 2], Operations: ['68/34=2']
Exploring Operation: 77-6=71, Resulting Numbers: [2, 71]
Generated Node #3: [2, 71] from Operation: 77-6=71
Current State: 73:[2, 71], Operations: ['68/34=2', '77-6=71']
Exploring Operation: 2+71=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
31,
11,
55,
3
] | 69 | [
"31+11=42",
"42/3=14",
"55+14=69"
] | Current State: 69:[31, 11, 55, 3], Operations: []
Exploring Operation: 31+11=42, Resulting Numbers: [55, 3, 42]
Generated Node #2: [55, 3, 42] from Operation: 31+11=42
Current State: 69:[55, 3, 42], Operations: ['31+11=42']
Exploring Operation: 42/3=14, Resulting Numbers: [55, 14]
Generated Node #3: [55, 14] from Operation: 42/3=14
Current State: 69:[55, 14], Operations: ['31+11=42', '42/3=14']
Exploring Operation: 55+14=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
42,
9,
69,
2
] | 24 | [
"42*2=84",
"69-9=60",
"84-60=24"
] | Current State: 24:[42, 9, 69, 2], Operations: []
Exploring Operation: 42*2=84, Resulting Numbers: [9, 69, 84]
Generated Node #2: [9, 69, 84] from Operation: 42*2=84
Current State: 24:[9, 69, 84], Operations: ['42*2=84']
Exploring Operation: 69-9=60, Resulting Numbers: [84, 60]
Generated Node #3: [84, 60] from Operation: 69-9=60
Current State: 24:[84, 60], Operations: ['42*2=84', '69-9=60']
Exploring Operation: 84-60=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
19,
18,
77,
72
] | 100 | [
"19+77=96",
"72/18=4",
"96+4=100"
] | Current State: 100:[19, 18, 77, 72], Operations: []
Exploring Operation: 19+77=96, Resulting Numbers: [18, 72, 96]
Generated Node #2: [18, 72, 96] from Operation: 19+77=96
Current State: 100:[18, 72, 96], Operations: ['19+77=96']
Exploring Operation: 72/18=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 72/18=4
Current State: 100:[96, 4], Operations: ['19+77=96', '72/18=4']
Exploring Operation: 96+4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
74,
8,
68,
6
] | 42 | [
"74-68=6",
"8*6=48",
"48-6=42"
] | Current State: 42:[74, 8, 68, 6], Operations: []
Exploring Operation: 74-68=6, Resulting Numbers: [8, 6, 6]
Generated Node #2: [8, 6, 6] from Operation: 74-68=6
Current State: 42:[8, 6, 6], Operations: ['74-68=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,42 equal: Goal Reached
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
23,
45,
48,
41
] | 67 | [
"45-23=22",
"48+41=89",
"89-22=67"
] | Current State: 67:[23, 45, 48, 41], Operations: []
Exploring Operation: 45-23=22, Resulting Numbers: [48, 41, 22]
Generated Node #2: [48, 41, 22] from Operation: 45-23=22
Current State: 67:[48, 41, 22], Operations: ['45-23=22']
Exploring Operation: 48+41=89, Resulting Numbers: [22, 89]
Generated Node #3: [22, 89] from Operation: 48+41=89
Current State: 67:[22, 89], Operations: ['45-23=22', '48+41=89']
Exploring Operation: 89-22=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
56,
84,
50,
4
] | 48 | [
"56/4=14",
"84-50=34",
"14+34=48"
] | Current State: 48:[56, 84, 50, 4], Operations: []
Exploring Operation: 56/4=14, Resulting Numbers: [84, 50, 14]
Generated Node #2: [84, 50, 14] from Operation: 56/4=14
Current State: 48:[84, 50, 14], Operations: ['56/4=14']
Exploring Operation: 84-50=34, Resulting Numbers: [14, 34]
Generated Node #3: [14, 34] from Operation: 84-50=34
Current State: 48:[14, 34], Operations: ['56/4=14', '84-50=34']
Exploring Operation: 14+34=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
87,
8,
40,
11
] | 33 | [
"11-8=3",
"40*3=120",
"120-87=33"
] | Current State: 33:[87, 8, 40, 11], Operations: []
Exploring Operation: 11-8=3, Resulting Numbers: [87, 40, 3]
Generated Node #2: [87, 40, 3] from Operation: 11-8=3
Current State: 33:[87, 40, 3], Operations: ['11-8=3']
Exploring Operation: 40*3=120, Resulting Numbers: [87, 120]
Generated Node #3: [87, 120] from Operation: 40*3=120
Current State: 33:[87, 120], Operations: ['11-8=3', '40*3=120']
Exploring Operation: 120-87=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
6,
21,
13,
91
] | 51 | [
"6+21=27",
"91-13=78",
"78-27=51"
] | Current State: 51:[6, 21, 13, 91], Operations: []
Exploring Operation: 6+21=27, Resulting Numbers: [13, 91, 27]
Generated Node #2: [13, 91, 27] from Operation: 6+21=27
Current State: 51:[13, 91, 27], Operations: ['6+21=27']
Exploring Operation: 91-13=78, Resulting Numbers: [27, 78]
Generated Node #3: [27, 78] from Operation: 91-13=78
Current State: 51:[27, 78], Operations: ['6+21=27', '91-13=78']
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
61,
7,
81,
60
] | 58 | [
"81-60=21",
"21/7=3",
"61-3=58"
] | Current State: 58:[61, 7, 81, 60], Operations: []
Exploring Operation: 81-60=21, Resulting Numbers: [61, 7, 21]
Generated Node #2: [61, 7, 21] from Operation: 81-60=21
Current State: 58:[61, 7, 21], Operations: ['81-60=21']
Exploring Operation: 21/7=3, Resulting Numbers: [61, 3]
Generated Node #3: [61, 3] from Operation: 21/7=3
Current State: 58:[61, 3], Operations: ['81-60=21', '21/7=3']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
81,
23,
53,
3
] | 71 | [
"53-23=30",
"30/3=10",
"81-10=71"
] | Current State: 71:[81, 23, 53, 3], Operations: []
Exploring Operation: 53-23=30, Resulting Numbers: [81, 3, 30]
Generated Node #2: [81, 3, 30] from Operation: 53-23=30
Current State: 71:[81, 3, 30], Operations: ['53-23=30']
Exploring Operation: 30/3=10, Resulting Numbers: [81, 10]
Generated Node #3: [81, 10] from Operation: 30/3=10
Current State: 71:[81, 10], Operations: ['53-23=30', '30/3=10']
Exploring Operation: 81-10=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
90,
54,
23,
2
] | 26 | [
"90-54=36",
"36-23=13",
"2*13=26"
] | Current State: 26:[90, 54, 23, 2], Operations: []
Exploring Operation: 90-54=36, Resulting Numbers: [23, 2, 36]
Generated Node #2: [23, 2, 36] from Operation: 90-54=36
Current State: 26:[23, 2, 36], Operations: ['90-54=36']
Exploring Operation: 36-23=13, Resulting Numbers: [2, 13]
Generated Node #3: [2, 13] from Operation: 36-23=13
Current State: 26:[2, 13], Operations: ['90-54=36', '36-23=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
66,
37,
55,
31
] | 79 | [
"66+37=103",
"55-31=24",
"103-24=79"
] | Current State: 79:[66, 37, 55, 31], Operations: []
Exploring Operation: 66+37=103, Resulting Numbers: [55, 31, 103]
Generated Node #2: [55, 31, 103] from Operation: 66+37=103
Current State: 79:[55, 31, 103], Operations: ['66+37=103']
Exploring Operation: 55-31=24, Resulting Numbers: [103, 24]
Generated Node #3: [103, 24] from Operation: 55-31=24
Current State: 79:[103, 24], Operations: ['66+37=103', '55-31=24']
Exploring Operation: 103-24=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
1,
2,
56,
50
] | 82 | [
"1+56=57",
"50/2=25",
"57+25=82"
] | Current State: 82:[1, 2, 56, 50], Operations: []
Exploring Operation: 1+56=57, Resulting Numbers: [2, 50, 57]
Generated Node #2: [2, 50, 57] from Operation: 1+56=57
Current State: 82:[2, 50, 57], Operations: ['1+56=57']
Exploring Operation: 50/2=25, Resulting Numbers: [57, 25]
Generated Node #3: [57, 25] from Operation: 50/2=25
Current State: 82:[57, 25], Operations: ['1+56=57', '50/2=25']
Exploring Operation: 57+25=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
75,
48,
23,
72
] | 18 | [
"75-48=27",
"27-23=4",
"72/4=18"
] | Current State: 18:[75, 48, 23, 72], Operations: []
Exploring Operation: 75-48=27, Resulting Numbers: [23, 72, 27]
Generated Node #2: [23, 72, 27] from Operation: 75-48=27
Current State: 18:[23, 72, 27], Operations: ['75-48=27']
Exploring Operation: 27-23=4, Resulting Numbers: [72, 4]
Generated Node #3: [72, 4] from Operation: 27-23=4
Current State: 18:[72, 4], Operations: ['75-48=27', '27-23=4']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
38,
16,
39,
31
] | 73 | [
"38-31=7",
"16*7=112",
"112-39=73"
] | Current State: 73:[38, 16, 39, 31], Operations: []
Exploring Operation: 38-31=7, Resulting Numbers: [16, 39, 7]
Generated Node #2: [16, 39, 7] from Operation: 38-31=7
Current State: 73:[16, 39, 7], Operations: ['38-31=7']
Exploring Operation: 16*7=112, Resulting Numbers: [39, 112]
Generated Node #3: [39, 112] from Operation: 16*7=112
Current State: 73:[39, 112], Operations: ['38-31=7', '16*7=112']
Exploring Operation: 112-39=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
8,
78,
59,
64
] | 91 | [
"8+78=86",
"64-59=5",
"86+5=91"
] | Current State: 91:[8, 78, 59, 64], Operations: []
Exploring Operation: 8+78=86, Resulting Numbers: [59, 64, 86]
Generated Node #2: [59, 64, 86] from Operation: 8+78=86
Current State: 91:[59, 64, 86], Operations: ['8+78=86']
Exploring Operation: 64-59=5, Resulting Numbers: [86, 5]
Generated Node #3: [86, 5] from Operation: 64-59=5
Current State: 91:[86, 5], Operations: ['8+78=86', '64-59=5']
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
16,
81,
85,
35
] | 99 | [
"85-81=4",
"16*4=64",
"35+64=99"
] | Current State: 99:[16, 81, 85, 35], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [16, 35, 4]
Generated Node #2: [16, 35, 4] from Operation: 85-81=4
Current State: 99:[16, 35, 4], Operations: ['85-81=4']
Exploring Operation: 16*4=64, Resulting Numbers: [35, 64]
Generated Node #3: [35, 64] from Operation: 16*4=64
Current State: 99:[35, 64], Operations: ['85-81=4', '16*4=64']
Exploring Operation: 35+64=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
74,
19,
40,
74
] | 59 | [
"74+19=93",
"74-40=34",
"93-34=59"
] | Current State: 59:[74, 19, 40, 74], Operations: []
Exploring Operation: 74+19=93, Resulting Numbers: [40, 93]
Generated Node #2: [40, 93] from Operation: 74+19=93
Current State: 59:[40, 93], Operations: ['74+19=93']
Exploring Operation: 74-40=34, Resulting Numbers: [93, 34]
Generated Node #3: [93, 34] from Operation: 74-40=34
Current State: 59:[93, 34], Operations: ['74+19=93', '74-40=34']
Exploring Operation: 93-34=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
2,
48,
22,
92
] | 59 | [
"48-22=26",
"92+26=118",
"118/2=59"
] | Current State: 59:[2, 48, 22, 92], Operations: []
Exploring Operation: 48-22=26, Resulting Numbers: [2, 92, 26]
Generated Node #2: [2, 92, 26] from Operation: 48-22=26
Current State: 59:[2, 92, 26], Operations: ['48-22=26']
Exploring Operation: 92+26=118, Resulting Numbers: [2, 118]
Generated Node #3: [2, 118] from Operation: 92+26=118
Current State: 59:[2, 118], Operations: ['48-22=26', '92+26=118']
Exploring Operation: 118/2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
78,
34,
73,
97
] | 68 | [
"78-34=44",
"97-73=24",
"44+24=68"
] | Current State: 68:[78, 34, 73, 97], Operations: []
Exploring Operation: 78-34=44, Resulting Numbers: [73, 97, 44]
Generated Node #2: [73, 97, 44] from Operation: 78-34=44
Current State: 68:[73, 97, 44], Operations: ['78-34=44']
Exploring Operation: 97-73=24, Resulting Numbers: [44, 24]
Generated Node #3: [44, 24] from Operation: 97-73=24
Current State: 68:[44, 24], Operations: ['78-34=44', '97-73=24']
Exploring Operation: 44+24=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
6,
46,
74,
78
] | 70 | [
"78-74=4",
"6*4=24",
"46+24=70"
] | Current State: 70:[6, 46, 74, 78], Operations: []
Exploring Operation: 78-74=4, Resulting Numbers: [6, 46, 4]
Generated Node #2: [6, 46, 4] from Operation: 78-74=4
Current State: 70:[6, 46, 4], Operations: ['78-74=4']
Exploring Operation: 6*4=24, Resulting Numbers: [46, 24]
Generated Node #3: [46, 24] from Operation: 6*4=24
Current State: 70:[46, 24], Operations: ['78-74=4', '6*4=24']
Exploring Operation: 46+24=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
62,
47,
54,
21
] | 48 | [
"62-47=15",
"54-21=33",
"15+33=48"
] | Current State: 48:[62, 47, 54, 21], Operations: []
Exploring Operation: 62-47=15, Resulting Numbers: [54, 21, 15]
Generated Node #2: [54, 21, 15] from Operation: 62-47=15
Current State: 48:[54, 21, 15], Operations: ['62-47=15']
Exploring Operation: 54-21=33, Resulting Numbers: [15, 33]
Generated Node #3: [15, 33] from Operation: 54-21=33
Current State: 48:[15, 33], Operations: ['62-47=15', '54-21=33']
Exploring Operation: 15+33=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
6,
5,
83,
6
] | 76 | [
"6-5=1",
"83-6=77",
"77-1=76"
] | Current State: 76:[6, 5, 83, 6], Operations: []
Exploring Operation: 6-5=1, Resulting Numbers: [83, 1]
Generated Node #2: [83, 1] from Operation: 6-5=1
Current State: 76:[83, 1], Operations: ['6-5=1']
Exploring Operation: 83-6=77, Resulting Numbers: [1, 77]
Generated Node #3: [1, 77] from Operation: 83-6=77
Current State: 76:[1, 77], Operations: ['6-5=1', '83-6=77']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
47,
32,
69,
9
] | 75 | [
"47-32=15",
"69-9=60",
"15+60=75"
] | Current State: 75:[47, 32, 69, 9], Operations: []
Exploring Operation: 47-32=15, Resulting Numbers: [69, 9, 15]
Generated Node #2: [69, 9, 15] from Operation: 47-32=15
Current State: 75:[69, 9, 15], Operations: ['47-32=15']
Exploring Operation: 69-9=60, Resulting Numbers: [15, 60]
Generated Node #3: [15, 60] from Operation: 69-9=60
Current State: 75:[15, 60], Operations: ['47-32=15', '69-9=60']
Exploring Operation: 15+60=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
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