nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
6,
26,
34,
60
] | 50 | [
"60/6=10",
"26+34=60",
"60-10=50"
] | Current State: 50:[6, 26, 34, 60], Operations: []
Exploring Operation: 60/6=10, Resulting Numbers: [26, 34, 10]
Generated Node #2: [26, 34, 10] from Operation: 60/6=10
Current State: 50:[26, 34, 10], Operations: ['60/6=10']
Exploring Operation: 26+34=60, Resulting Numbers: [10, 60]
Generated Node #3: [10, 60] from Operation: 26+34=60
Current State: 50:[10, 60], Operations: ['60/6=10', '26+34=60']
Exploring Operation: 60-10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
5,
27,
6,
46
] | 11 | [
"5*6=30",
"46-27=19",
"30-19=11"
] | Current State: 11:[5, 27, 6, 46], Operations: []
Exploring Operation: 5*6=30, Resulting Numbers: [27, 46, 30]
Generated Node #2: [27, 46, 30] from Operation: 5*6=30
Current State: 11:[27, 46, 30], Operations: ['5*6=30']
Exploring Operation: 46-27=19, Resulting Numbers: [30, 19]
Generated Node #3: [30, 19] from Operation: 46-27=19
Current State: 11:[30, 19], Operations: ['5*6=30', '46-27=19']
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
47,
6,
35,
95
] | 57 | [
"95-35=60",
"60/6=10",
"47+10=57"
] | Current State: 57:[47, 6, 35, 95], Operations: []
Exploring Operation: 95-35=60, Resulting Numbers: [47, 6, 60]
Generated Node #2: [47, 6, 60] from Operation: 95-35=60
Current State: 57:[47, 6, 60], Operations: ['95-35=60']
Exploring Operation: 60/6=10, Resulting Numbers: [47, 10]
Generated Node #3: [47, 10] from Operation: 60/6=10
Current State: 57:[47, 10], Operations: ['95-35=60', '60/6=10']
Exploring Operation: 47+10=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
18,
56,
97,
10
] | 57 | [
"97*10=970",
"56+970=1026",
"1026/18=57"
] | Current State: 57:[18, 56, 97, 10], Operations: []
Exploring Operation: 97*10=970, Resulting Numbers: [18, 56, 970]
Generated Node #2: [18, 56, 970] from Operation: 97*10=970
Current State: 57:[18, 56, 970], Operations: ['97*10=970']
Exploring Operation: 56+970=1026, Resulting Numbers: [18, 1026]
Generated Node #3: [18, 1026] from Operation: 56+970=1026
Current State: 57:[18, 1026], Operations: ['97*10=970', '56+970=1026']
Exploring Operation: 1026/18=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
4,
50,
61,
92
] | 34 | [
"92/4=23",
"61-50=11",
"23+11=34"
] | Current State: 34:[4, 50, 61, 92], Operations: []
Exploring Operation: 92/4=23, Resulting Numbers: [50, 61, 23]
Generated Node #2: [50, 61, 23] from Operation: 92/4=23
Current State: 34:[50, 61, 23], Operations: ['92/4=23']
Exploring Operation: 61-50=11, Resulting Numbers: [23, 11]
Generated Node #3: [23, 11] from Operation: 61-50=11
Current State: 34:[23, 11], Operations: ['92/4=23', '61-50=11']
Exploring Operation: 23+11=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
40,
94,
23,
38
] | 70 | [
"40-38=2",
"94/2=47",
"23+47=70"
] | Current State: 70:[40, 94, 23, 38], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [94, 23, 2]
Generated Node #2: [94, 23, 2] from Operation: 40-38=2
Current State: 70:[94, 23, 2], Operations: ['40-38=2']
Exploring Operation: 94/2=47, Resulting Numbers: [23, 47]
Generated Node #3: [23, 47] from Operation: 94/2=47
Current State: 70:[23, 47], Operations: ['40-38=2', '94/2=47']
Exploring Operation: 23+47=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
13,
22,
42,
33
] | 81 | [
"22-13=9",
"42-33=9",
"9*9=81"
] | Current State: 81:[13, 22, 42, 33], Operations: []
Exploring Operation: 22-13=9, Resulting Numbers: [42, 33, 9]
Generated Node #2: [42, 33, 9] from Operation: 22-13=9
Current State: 81:[42, 33, 9], Operations: ['22-13=9']
Exploring Operation: 42-33=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 42-33=9
Current State: 81:[9, 9], Operations: ['22-13=9', '42-33=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
79,
83,
6,
35
] | 37 | [
"83-79=4",
"6+35=41",
"41-4=37"
] | Current State: 37:[79, 83, 6, 35], Operations: []
Exploring Operation: 83-79=4, Resulting Numbers: [6, 35, 4]
Generated Node #2: [6, 35, 4] from Operation: 83-79=4
Current State: 37:[6, 35, 4], Operations: ['83-79=4']
Exploring Operation: 6+35=41, Resulting Numbers: [4, 41]
Generated Node #3: [4, 41] from Operation: 6+35=41
Current State: 37:[4, 41], Operations: ['83-79=4', '6+35=41']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
76,
80,
52,
15
] | 28 | [
"80-76=4",
"52/4=13",
"15+13=28"
] | Current State: 28:[76, 80, 52, 15], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [52, 15, 4]
Generated Node #2: [52, 15, 4] from Operation: 80-76=4
Current State: 28:[52, 15, 4], Operations: ['80-76=4']
Exploring Operation: 52/4=13, Resulting Numbers: [15, 13]
Generated Node #3: [15, 13] from Operation: 52/4=13
Current State: 28:[15, 13], Operations: ['80-76=4', '52/4=13']
Exploring Operation: 15+13=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
28,
78,
16,
10
] | 100 | [
"28+78=106",
"16-10=6",
"106-6=100"
] | Current State: 100:[28, 78, 16, 10], Operations: []
Exploring Operation: 28+78=106, Resulting Numbers: [16, 10, 106]
Generated Node #2: [16, 10, 106] from Operation: 28+78=106
Current State: 100:[16, 10, 106], Operations: ['28+78=106']
Exploring Operation: 16-10=6, Resulting Numbers: [106, 6]
Generated Node #3: [106, 6] from Operation: 16-10=6
Current State: 100:[106, 6], Operations: ['28+78=106', '16-10=6']
Exploring Operation: 106-6=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
2,
84,
29,
90
] | 64 | [
"2*29=58",
"90-84=6",
"58+6=64"
] | Current State: 64:[2, 84, 29, 90], Operations: []
Exploring Operation: 2*29=58, Resulting Numbers: [84, 90, 58]
Generated Node #2: [84, 90, 58] from Operation: 2*29=58
Current State: 64:[84, 90, 58], Operations: ['2*29=58']
Exploring Operation: 90-84=6, Resulting Numbers: [58, 6]
Generated Node #3: [58, 6] from Operation: 90-84=6
Current State: 64:[58, 6], Operations: ['2*29=58', '90-84=6']
Exploring Operation: 58+6=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
32,
94,
29,
72
] | 39 | [
"94-32=62",
"29+72=101",
"101-62=39"
] | Current State: 39:[32, 94, 29, 72], Operations: []
Exploring Operation: 94-32=62, Resulting Numbers: [29, 72, 62]
Generated Node #2: [29, 72, 62] from Operation: 94-32=62
Current State: 39:[29, 72, 62], Operations: ['94-32=62']
Exploring Operation: 29+72=101, Resulting Numbers: [62, 101]
Generated Node #3: [62, 101] from Operation: 29+72=101
Current State: 39:[62, 101], Operations: ['94-32=62', '29+72=101']
Exploring Operation: 101-62=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
43,
2,
70,
91
] | 44 | [
"43+70=113",
"113-91=22",
"2*22=44"
] | Current State: 44:[43, 2, 70, 91], Operations: []
Exploring Operation: 43+70=113, Resulting Numbers: [2, 91, 113]
Generated Node #2: [2, 91, 113] from Operation: 43+70=113
Current State: 44:[2, 91, 113], Operations: ['43+70=113']
Exploring Operation: 113-91=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 113-91=22
Current State: 44:[2, 22], Operations: ['43+70=113', '113-91=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
63,
22,
37,
13
] | 11 | [
"63-37=26",
"22*13=286",
"286/26=11"
] | Current State: 11:[63, 22, 37, 13], Operations: []
Exploring Operation: 63-37=26, Resulting Numbers: [22, 13, 26]
Generated Node #2: [22, 13, 26] from Operation: 63-37=26
Current State: 11:[22, 13, 26], Operations: ['63-37=26']
Exploring Operation: 22*13=286, Resulting Numbers: [26, 286]
Generated Node #3: [26, 286] from Operation: 22*13=286
Current State: 11:[26, 286], Operations: ['63-37=26', '22*13=286']
Exploring Operation: 286/26=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
90,
10,
86,
4
] | 66 | [
"90-10=80",
"80/4=20",
"86-20=66"
] | Current State: 66:[90, 10, 86, 4], Operations: []
Exploring Operation: 90-10=80, Resulting Numbers: [86, 4, 80]
Generated Node #2: [86, 4, 80] from Operation: 90-10=80
Current State: 66:[86, 4, 80], Operations: ['90-10=80']
Exploring Operation: 80/4=20, Resulting Numbers: [86, 20]
Generated Node #3: [86, 20] from Operation: 80/4=20
Current State: 66:[86, 20], Operations: ['90-10=80', '80/4=20']
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
23,
64,
13,
23
] | 31 | [
"64-23=41",
"23-13=10",
"41-10=31"
] | Current State: 31:[23, 64, 13, 23], Operations: []
Exploring Operation: 64-23=41, Resulting Numbers: [13, 41]
Generated Node #2: [13, 41] from Operation: 64-23=41
Current State: 31:[13, 41], Operations: ['64-23=41']
Exploring Operation: 23-13=10, Resulting Numbers: [41, 10]
Generated Node #3: [41, 10] from Operation: 23-13=10
Current State: 31:[41, 10], Operations: ['64-23=41', '23-13=10']
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
84,
2,
54,
90
] | 30 | [
"84-54=30",
"2*30=60",
"90-60=30"
] | Current State: 30:[84, 2, 54, 90], Operations: []
Exploring Operation: 84-54=30, Resulting Numbers: [2, 90, 30]
Generated Node #2: [2, 90, 30] from Operation: 84-54=30
Current State: 30:[2, 90, 30], Operations: ['84-54=30']
Exploring Operation: 2*30=60, Resulting Numbers: [90, 60]
Generated Node #3: [90, 60] from Operation: 2*30=60
Current State: 30:[90, 60], Operations: ['84-54=30', '2*30=60']
Exploring Operation: 90-60=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
82,
75,
30,
5
] | 28 | [
"82-75=7",
"30+5=35",
"35-7=28"
] | Current State: 28:[82, 75, 30, 5], Operations: []
Exploring Operation: 82-75=7, Resulting Numbers: [30, 5, 7]
Generated Node #2: [30, 5, 7] from Operation: 82-75=7
Current State: 28:[30, 5, 7], Operations: ['82-75=7']
Exploring Operation: 30+5=35, Resulting Numbers: [7, 35]
Generated Node #3: [7, 35] from Operation: 30+5=35
Current State: 28:[7, 35], Operations: ['82-75=7', '30+5=35']
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
29,
72,
73,
27
] | 22 | [
"72+73=145",
"145/29=5",
"27-5=22"
] | Current State: 22:[29, 72, 73, 27], Operations: []
Exploring Operation: 72+73=145, Resulting Numbers: [29, 27, 145]
Generated Node #2: [29, 27, 145] from Operation: 72+73=145
Current State: 22:[29, 27, 145], Operations: ['72+73=145']
Exploring Operation: 145/29=5, Resulting Numbers: [27, 5]
Generated Node #3: [27, 5] from Operation: 145/29=5
Current State: 22:[27, 5], Operations: ['72+73=145', '145/29=5']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
88,
84,
1,
42
] | 89 | [
"88-1=87",
"84/42=2",
"87+2=89"
] | Current State: 89:[88, 84, 1, 42], Operations: []
Exploring Operation: 88-1=87, Resulting Numbers: [84, 42, 87]
Generated Node #2: [84, 42, 87] from Operation: 88-1=87
Current State: 89:[84, 42, 87], Operations: ['88-1=87']
Exploring Operation: 84/42=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 84/42=2
Current State: 89:[87, 2], Operations: ['88-1=87', '84/42=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
59,
88,
49,
33
] | 99 | [
"59+88=147",
"147/49=3",
"33*3=99"
] | Current State: 99:[59, 88, 49, 33], Operations: []
Exploring Operation: 59+88=147, Resulting Numbers: [49, 33, 147]
Generated Node #2: [49, 33, 147] from Operation: 59+88=147
Current State: 99:[49, 33, 147], Operations: ['59+88=147']
Exploring Operation: 147/49=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 147/49=3
Current State: 99:[33, 3], Operations: ['59+88=147', '147/49=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
5,
49,
2,
38
] | 65 | [
"5+49=54",
"54/2=27",
"38+27=65"
] | Current State: 65:[5, 49, 2, 38], Operations: []
Exploring Operation: 5+49=54, Resulting Numbers: [2, 38, 54]
Generated Node #2: [2, 38, 54] from Operation: 5+49=54
Current State: 65:[2, 38, 54], Operations: ['5+49=54']
Exploring Operation: 54/2=27, Resulting Numbers: [38, 27]
Generated Node #3: [38, 27] from Operation: 54/2=27
Current State: 65:[38, 27], Operations: ['5+49=54', '54/2=27']
Exploring Operation: 38+27=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
2,
27,
93,
12
] | 21 | [
"93-27=66",
"66/2=33",
"33-12=21"
] | Current State: 21:[2, 27, 93, 12], Operations: []
Exploring Operation: 93-27=66, Resulting Numbers: [2, 12, 66]
Generated Node #2: [2, 12, 66] from Operation: 93-27=66
Current State: 21:[2, 12, 66], Operations: ['93-27=66']
Exploring Operation: 66/2=33, Resulting Numbers: [12, 33]
Generated Node #3: [12, 33] from Operation: 66/2=33
Current State: 21:[12, 33], Operations: ['93-27=66', '66/2=33']
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
16,
68,
16,
8
] | 44 | [
"16+68=84",
"16*8=128",
"128-84=44"
] | Current State: 44:[16, 68, 16, 8], Operations: []
Exploring Operation: 16+68=84, Resulting Numbers: [8, 84]
Generated Node #2: [8, 84] from Operation: 16+68=84
Current State: 44:[8, 84], Operations: ['16+68=84']
Exploring Operation: 16*8=128, Resulting Numbers: [84, 128]
Generated Node #3: [84, 128] from Operation: 16*8=128
Current State: 44:[84, 128], Operations: ['16+68=84', '16*8=128']
Exploring Operation: 128-84=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
74,
5,
62,
59
] | 72 | [
"74-5=69",
"62-59=3",
"69+3=72"
] | Current State: 72:[74, 5, 62, 59], Operations: []
Exploring Operation: 74-5=69, Resulting Numbers: [62, 59, 69]
Generated Node #2: [62, 59, 69] from Operation: 74-5=69
Current State: 72:[62, 59, 69], Operations: ['74-5=69']
Exploring Operation: 62-59=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 62-59=3
Current State: 72:[69, 3], Operations: ['74-5=69', '62-59=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
2,
60,
23,
12
] | 47 | [
"60-2=58",
"23-12=11",
"58-11=47"
] | Current State: 47:[2, 60, 23, 12], Operations: []
Exploring Operation: 60-2=58, Resulting Numbers: [23, 12, 58]
Generated Node #2: [23, 12, 58] from Operation: 60-2=58
Current State: 47:[23, 12, 58], Operations: ['60-2=58']
Exploring Operation: 23-12=11, Resulting Numbers: [58, 11]
Generated Node #3: [58, 11] from Operation: 23-12=11
Current State: 47:[58, 11], Operations: ['60-2=58', '23-12=11']
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
7,
88,
42,
31
] | 63 | [
"42/7=6",
"88-31=57",
"6+57=63"
] | Current State: 63:[7, 88, 42, 31], Operations: []
Exploring Operation: 42/7=6, Resulting Numbers: [88, 31, 6]
Generated Node #2: [88, 31, 6] from Operation: 42/7=6
Current State: 63:[88, 31, 6], Operations: ['42/7=6']
Exploring Operation: 88-31=57, Resulting Numbers: [6, 57]
Generated Node #3: [6, 57] from Operation: 88-31=57
Current State: 63:[6, 57], Operations: ['42/7=6', '88-31=57']
Exploring Operation: 6+57=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
80,
86,
20,
41
] | 79 | [
"86-80=6",
"20*6=120",
"120-41=79"
] | Current State: 79:[80, 86, 20, 41], Operations: []
Exploring Operation: 86-80=6, Resulting Numbers: [20, 41, 6]
Generated Node #2: [20, 41, 6] from Operation: 86-80=6
Current State: 79:[20, 41, 6], Operations: ['86-80=6']
Exploring Operation: 20*6=120, Resulting Numbers: [41, 120]
Generated Node #3: [41, 120] from Operation: 20*6=120
Current State: 79:[41, 120], Operations: ['86-80=6', '20*6=120']
Exploring Operation: 120-41=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
3,
40,
29,
56
] | 16 | [
"3+40=43",
"56-29=27",
"43-27=16"
] | Current State: 16:[3, 40, 29, 56], Operations: []
Exploring Operation: 3+40=43, Resulting Numbers: [29, 56, 43]
Generated Node #2: [29, 56, 43] from Operation: 3+40=43
Current State: 16:[29, 56, 43], Operations: ['3+40=43']
Exploring Operation: 56-29=27, Resulting Numbers: [43, 27]
Generated Node #3: [43, 27] from Operation: 56-29=27
Current State: 16:[43, 27], Operations: ['3+40=43', '56-29=27']
Exploring Operation: 43-27=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
51,
59,
57,
98
] | 49 | [
"59-51=8",
"98-57=41",
"8+41=49"
] | Current State: 49:[51, 59, 57, 98], Operations: []
Exploring Operation: 59-51=8, Resulting Numbers: [57, 98, 8]
Generated Node #2: [57, 98, 8] from Operation: 59-51=8
Current State: 49:[57, 98, 8], Operations: ['59-51=8']
Exploring Operation: 98-57=41, Resulting Numbers: [8, 41]
Generated Node #3: [8, 41] from Operation: 98-57=41
Current State: 49:[8, 41], Operations: ['59-51=8', '98-57=41']
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
16,
39,
87,
59
] | 56 | [
"87-39=48",
"48/16=3",
"59-3=56"
] | Current State: 56:[16, 39, 87, 59], Operations: []
Exploring Operation: 87-39=48, Resulting Numbers: [16, 59, 48]
Generated Node #2: [16, 59, 48] from Operation: 87-39=48
Current State: 56:[16, 59, 48], Operations: ['87-39=48']
Exploring Operation: 48/16=3, Resulting Numbers: [59, 3]
Generated Node #3: [59, 3] from Operation: 48/16=3
Current State: 56:[59, 3], Operations: ['87-39=48', '48/16=3']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
3,
68,
30,
31
] | 64 | [
"68-3=65",
"31-30=1",
"65-1=64"
] | Current State: 64:[3, 68, 30, 31], Operations: []
Exploring Operation: 68-3=65, Resulting Numbers: [30, 31, 65]
Generated Node #2: [30, 31, 65] from Operation: 68-3=65
Current State: 64:[30, 31, 65], Operations: ['68-3=65']
Exploring Operation: 31-30=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 31-30=1
Current State: 64:[65, 1], Operations: ['68-3=65', '31-30=1']
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
15,
17,
48,
75
] | 13 | [
"75/15=5",
"17+48=65",
"65/5=13"
] | Current State: 13:[15, 17, 48, 75], Operations: []
Exploring Operation: 75/15=5, Resulting Numbers: [17, 48, 5]
Generated Node #2: [17, 48, 5] from Operation: 75/15=5
Current State: 13:[17, 48, 5], Operations: ['75/15=5']
Exploring Operation: 17+48=65, Resulting Numbers: [5, 65]
Generated Node #3: [5, 65] from Operation: 17+48=65
Current State: 13:[5, 65], Operations: ['75/15=5', '17+48=65']
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
52,
59,
44,
37
] | 50 | [
"59-37=22",
"44/22=2",
"52-2=50"
] | Current State: 50:[52, 59, 44, 37], Operations: []
Exploring Operation: 59-37=22, Resulting Numbers: [52, 44, 22]
Generated Node #2: [52, 44, 22] from Operation: 59-37=22
Current State: 50:[52, 44, 22], Operations: ['59-37=22']
Exploring Operation: 44/22=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 44/22=2
Current State: 50:[52, 2], Operations: ['59-37=22', '44/22=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
16,
8,
19,
11
] | 22 | [
"16-8=8",
"19+11=30",
"30-8=22"
] | Current State: 22:[16, 8, 19, 11], Operations: []
Exploring Operation: 16-8=8, Resulting Numbers: [19, 11, 8]
Generated Node #2: [19, 11, 8] from Operation: 16-8=8
Current State: 22:[19, 11, 8], Operations: ['16-8=8']
Exploring Operation: 19+11=30, Resulting Numbers: [8, 30]
Generated Node #3: [8, 30] from Operation: 19+11=30
Current State: 22:[8, 30], Operations: ['16-8=8', '19+11=30']
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
1,
33,
25,
42
] | 51 | [
"1+33=34",
"42-25=17",
"34+17=51"
] | Current State: 51:[1, 33, 25, 42], Operations: []
Exploring Operation: 1+33=34, Resulting Numbers: [25, 42, 34]
Generated Node #2: [25, 42, 34] from Operation: 1+33=34
Current State: 51:[25, 42, 34], Operations: ['1+33=34']
Exploring Operation: 42-25=17, Resulting Numbers: [34, 17]
Generated Node #3: [34, 17] from Operation: 42-25=17
Current State: 51:[34, 17], Operations: ['1+33=34', '42-25=17']
Exploring Operation: 34+17=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
18,
75,
10,
96
] | 63 | [
"18-10=8",
"96/8=12",
"75-12=63"
] | Current State: 63:[18, 75, 10, 96], Operations: []
Exploring Operation: 18-10=8, Resulting Numbers: [75, 96, 8]
Generated Node #2: [75, 96, 8] from Operation: 18-10=8
Current State: 63:[75, 96, 8], Operations: ['18-10=8']
Exploring Operation: 96/8=12, Resulting Numbers: [75, 12]
Generated Node #3: [75, 12] from Operation: 96/8=12
Current State: 63:[75, 12], Operations: ['18-10=8', '96/8=12']
Exploring Operation: 75-12=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
27,
35,
9,
45
] | 44 | [
"35-27=8",
"45-9=36",
"8+36=44"
] | Current State: 44:[27, 35, 9, 45], Operations: []
Exploring Operation: 35-27=8, Resulting Numbers: [9, 45, 8]
Generated Node #2: [9, 45, 8] from Operation: 35-27=8
Current State: 44:[9, 45, 8], Operations: ['35-27=8']
Exploring Operation: 45-9=36, Resulting Numbers: [8, 36]
Generated Node #3: [8, 36] from Operation: 45-9=36
Current State: 44:[8, 36], Operations: ['35-27=8', '45-9=36']
Exploring Operation: 8+36=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
67,
25,
72,
40
] | 85 | [
"72-67=5",
"25*5=125",
"125-40=85"
] | Current State: 85:[67, 25, 72, 40], Operations: []
Exploring Operation: 72-67=5, Resulting Numbers: [25, 40, 5]
Generated Node #2: [25, 40, 5] from Operation: 72-67=5
Current State: 85:[25, 40, 5], Operations: ['72-67=5']
Exploring Operation: 25*5=125, Resulting Numbers: [40, 125]
Generated Node #3: [40, 125] from Operation: 25*5=125
Current State: 85:[40, 125], Operations: ['72-67=5', '25*5=125']
Exploring Operation: 125-40=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
84,
67,
64,
76
] | 48 | [
"67-64=3",
"84/3=28",
"76-28=48"
] | Current State: 48:[84, 67, 64, 76], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [84, 76, 3]
Generated Node #2: [84, 76, 3] from Operation: 67-64=3
Current State: 48:[84, 76, 3], Operations: ['67-64=3']
Exploring Operation: 84/3=28, Resulting Numbers: [76, 28]
Generated Node #3: [76, 28] from Operation: 84/3=28
Current State: 48:[76, 28], Operations: ['67-64=3', '84/3=28']
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
53,
65,
39,
16
] | 11 | [
"65-53=12",
"39-16=23",
"23-12=11"
] | Current State: 11:[53, 65, 39, 16], Operations: []
Exploring Operation: 65-53=12, Resulting Numbers: [39, 16, 12]
Generated Node #2: [39, 16, 12] from Operation: 65-53=12
Current State: 11:[39, 16, 12], Operations: ['65-53=12']
Exploring Operation: 39-16=23, Resulting Numbers: [12, 23]
Generated Node #3: [12, 23] from Operation: 39-16=23
Current State: 11:[12, 23], Operations: ['65-53=12', '39-16=23']
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
70,
46,
36,
16
] | 24 | [
"70-46=24",
"36*16=576",
"576/24=24"
] | Current State: 24:[70, 46, 36, 16], Operations: []
Exploring Operation: 70-46=24, Resulting Numbers: [36, 16, 24]
Generated Node #2: [36, 16, 24] from Operation: 70-46=24
Current State: 24:[36, 16, 24], Operations: ['70-46=24']
Exploring Operation: 36*16=576, Resulting Numbers: [24, 576]
Generated Node #3: [24, 576] from Operation: 36*16=576
Current State: 24:[24, 576], Operations: ['70-46=24', '36*16=576']
Exploring Operation: 576/24=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
72,
98,
74,
32
] | 82 | [
"74-72=2",
"32/2=16",
"98-16=82"
] | Current State: 82:[72, 98, 74, 32], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [98, 32, 2]
Generated Node #2: [98, 32, 2] from Operation: 74-72=2
Current State: 82:[98, 32, 2], Operations: ['74-72=2']
Exploring Operation: 32/2=16, Resulting Numbers: [98, 16]
Generated Node #3: [98, 16] from Operation: 32/2=16
Current State: 82:[98, 16], Operations: ['74-72=2', '32/2=16']
Exploring Operation: 98-16=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
66,
56,
20,
4
] | 75 | [
"56-20=36",
"36/4=9",
"66+9=75"
] | Current State: 75:[66, 56, 20, 4], Operations: []
Exploring Operation: 56-20=36, Resulting Numbers: [66, 4, 36]
Generated Node #2: [66, 4, 36] from Operation: 56-20=36
Current State: 75:[66, 4, 36], Operations: ['56-20=36']
Exploring Operation: 36/4=9, Resulting Numbers: [66, 9]
Generated Node #3: [66, 9] from Operation: 36/4=9
Current State: 75:[66, 9], Operations: ['56-20=36', '36/4=9']
Exploring Operation: 66+9=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
76,
70,
66,
15
] | 14 | [
"76-66=10",
"15-10=5",
"70/5=14"
] | Current State: 14:[76, 70, 66, 15], Operations: []
Exploring Operation: 76-66=10, Resulting Numbers: [70, 15, 10]
Generated Node #2: [70, 15, 10] from Operation: 76-66=10
Current State: 14:[70, 15, 10], Operations: ['76-66=10']
Exploring Operation: 15-10=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 15-10=5
Current State: 14:[70, 5], Operations: ['76-66=10', '15-10=5']
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
14,
61,
66,
49
] | 40 | [
"14+61=75",
"66+49=115",
"115-75=40"
] | Current State: 40:[14, 61, 66, 49], Operations: []
Exploring Operation: 14+61=75, Resulting Numbers: [66, 49, 75]
Generated Node #2: [66, 49, 75] from Operation: 14+61=75
Current State: 40:[66, 49, 75], Operations: ['14+61=75']
Exploring Operation: 66+49=115, Resulting Numbers: [75, 115]
Generated Node #3: [75, 115] from Operation: 66+49=115
Current State: 40:[75, 115], Operations: ['14+61=75', '66+49=115']
Exploring Operation: 115-75=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
17,
34,
90,
68
] | 84 | [
"34+68=102",
"102/17=6",
"90-6=84"
] | Current State: 84:[17, 34, 90, 68], Operations: []
Exploring Operation: 34+68=102, Resulting Numbers: [17, 90, 102]
Generated Node #2: [17, 90, 102] from Operation: 34+68=102
Current State: 84:[17, 90, 102], Operations: ['34+68=102']
Exploring Operation: 102/17=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 102/17=6
Current State: 84:[90, 6], Operations: ['34+68=102', '102/17=6']
Exploring Operation: 90-6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
83,
24,
17,
49
] | 48 | [
"83-49=34",
"24*34=816",
"816/17=48"
] | Current State: 48:[83, 24, 17, 49], Operations: []
Exploring Operation: 83-49=34, Resulting Numbers: [24, 17, 34]
Generated Node #2: [24, 17, 34] from Operation: 83-49=34
Current State: 48:[24, 17, 34], Operations: ['83-49=34']
Exploring Operation: 24*34=816, Resulting Numbers: [17, 816]
Generated Node #3: [17, 816] from Operation: 24*34=816
Current State: 48:[17, 816], Operations: ['83-49=34', '24*34=816']
Exploring Operation: 816/17=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
83,
73,
30,
6
] | 34 | [
"83-73=10",
"30-6=24",
"10+24=34"
] | Current State: 34:[83, 73, 30, 6], Operations: []
Exploring Operation: 83-73=10, Resulting Numbers: [30, 6, 10]
Generated Node #2: [30, 6, 10] from Operation: 83-73=10
Current State: 34:[30, 6, 10], Operations: ['83-73=10']
Exploring Operation: 30-6=24, Resulting Numbers: [10, 24]
Generated Node #3: [10, 24] from Operation: 30-6=24
Current State: 34:[10, 24], Operations: ['83-73=10', '30-6=24']
Exploring Operation: 10+24=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
87,
72,
32,
42
] | 59 | [
"87-72=15",
"32+42=74",
"74-15=59"
] | Current State: 59:[87, 72, 32, 42], Operations: []
Exploring Operation: 87-72=15, Resulting Numbers: [32, 42, 15]
Generated Node #2: [32, 42, 15] from Operation: 87-72=15
Current State: 59:[32, 42, 15], Operations: ['87-72=15']
Exploring Operation: 32+42=74, Resulting Numbers: [15, 74]
Generated Node #3: [15, 74] from Operation: 32+42=74
Current State: 59:[15, 74], Operations: ['87-72=15', '32+42=74']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
80,
59,
93,
5
] | 51 | [
"80+59=139",
"93-5=88",
"139-88=51"
] | Current State: 51:[80, 59, 93, 5], Operations: []
Exploring Operation: 80+59=139, Resulting Numbers: [93, 5, 139]
Generated Node #2: [93, 5, 139] from Operation: 80+59=139
Current State: 51:[93, 5, 139], Operations: ['80+59=139']
Exploring Operation: 93-5=88, Resulting Numbers: [139, 88]
Generated Node #3: [139, 88] from Operation: 93-5=88
Current State: 51:[139, 88], Operations: ['80+59=139', '93-5=88']
Exploring Operation: 139-88=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
14,
4,
54,
36
] | 17 | [
"14*54=756",
"756/36=21",
"21-4=17"
] | Current State: 17:[14, 4, 54, 36], Operations: []
Exploring Operation: 14*54=756, Resulting Numbers: [4, 36, 756]
Generated Node #2: [4, 36, 756] from Operation: 14*54=756
Current State: 17:[4, 36, 756], Operations: ['14*54=756']
Exploring Operation: 756/36=21, Resulting Numbers: [4, 21]
Generated Node #3: [4, 21] from Operation: 756/36=21
Current State: 17:[4, 21], Operations: ['14*54=756', '756/36=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
25,
38,
52,
2
] | 36 | [
"25*2=50",
"52-38=14",
"50-14=36"
] | Current State: 36:[25, 38, 52, 2], Operations: []
Exploring Operation: 25*2=50, Resulting Numbers: [38, 52, 50]
Generated Node #2: [38, 52, 50] from Operation: 25*2=50
Current State: 36:[38, 52, 50], Operations: ['25*2=50']
Exploring Operation: 52-38=14, Resulting Numbers: [50, 14]
Generated Node #3: [50, 14] from Operation: 52-38=14
Current State: 36:[50, 14], Operations: ['25*2=50', '52-38=14']
Exploring Operation: 50-14=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
50,
15,
13,
47
] | 42 | [
"50+15=65",
"65/13=5",
"47-5=42"
] | Current State: 42:[50, 15, 13, 47], Operations: []
Exploring Operation: 50+15=65, Resulting Numbers: [13, 47, 65]
Generated Node #2: [13, 47, 65] from Operation: 50+15=65
Current State: 42:[13, 47, 65], Operations: ['50+15=65']
Exploring Operation: 65/13=5, Resulting Numbers: [47, 5]
Generated Node #3: [47, 5] from Operation: 65/13=5
Current State: 42:[47, 5], Operations: ['50+15=65', '65/13=5']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
27,
72,
25,
11
] | 94 | [
"27-25=2",
"11*2=22",
"72+22=94"
] | Current State: 94:[27, 72, 25, 11], Operations: []
Exploring Operation: 27-25=2, Resulting Numbers: [72, 11, 2]
Generated Node #2: [72, 11, 2] from Operation: 27-25=2
Current State: 94:[72, 11, 2], Operations: ['27-25=2']
Exploring Operation: 11*2=22, Resulting Numbers: [72, 22]
Generated Node #3: [72, 22] from Operation: 11*2=22
Current State: 94:[72, 22], Operations: ['27-25=2', '11*2=22']
Exploring Operation: 72+22=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
68,
92,
20,
79
] | 87 | [
"68+92=160",
"160/20=8",
"79+8=87"
] | Current State: 87:[68, 92, 20, 79], Operations: []
Exploring Operation: 68+92=160, Resulting Numbers: [20, 79, 160]
Generated Node #2: [20, 79, 160] from Operation: 68+92=160
Current State: 87:[20, 79, 160], Operations: ['68+92=160']
Exploring Operation: 160/20=8, Resulting Numbers: [79, 8]
Generated Node #3: [79, 8] from Operation: 160/20=8
Current State: 87:[79, 8], Operations: ['68+92=160', '160/20=8']
Exploring Operation: 79+8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
3,
41,
35,
41
] | 38 | [
"3+41=44",
"41-35=6",
"44-6=38"
] | Current State: 38:[3, 41, 35, 41], Operations: []
Exploring Operation: 3+41=44, Resulting Numbers: [35, 44]
Generated Node #2: [35, 44] from Operation: 3+41=44
Current State: 38:[35, 44], Operations: ['3+41=44']
Exploring Operation: 41-35=6, Resulting Numbers: [44, 6]
Generated Node #3: [44, 6] from Operation: 41-35=6
Current State: 38:[44, 6], Operations: ['3+41=44', '41-35=6']
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
47,
80,
29,
3
] | 59 | [
"80-47=33",
"29-3=26",
"33+26=59"
] | Current State: 59:[47, 80, 29, 3], Operations: []
Exploring Operation: 80-47=33, Resulting Numbers: [29, 3, 33]
Generated Node #2: [29, 3, 33] from Operation: 80-47=33
Current State: 59:[29, 3, 33], Operations: ['80-47=33']
Exploring Operation: 29-3=26, Resulting Numbers: [33, 26]
Generated Node #3: [33, 26] from Operation: 29-3=26
Current State: 59:[33, 26], Operations: ['80-47=33', '29-3=26']
Exploring Operation: 33+26=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
21,
2,
14,
43
] | 36 | [
"21+43=64",
"2*14=28",
"64-28=36"
] | Current State: 36:[21, 2, 14, 43], Operations: []
Exploring Operation: 21+43=64, Resulting Numbers: [2, 14, 64]
Generated Node #2: [2, 14, 64] from Operation: 21+43=64
Current State: 36:[2, 14, 64], Operations: ['21+43=64']
Exploring Operation: 2*14=28, Resulting Numbers: [64, 28]
Generated Node #3: [64, 28] from Operation: 2*14=28
Current State: 36:[64, 28], Operations: ['21+43=64', '2*14=28']
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
5,
57,
55,
23
] | 39 | [
"57+23=80",
"80/5=16",
"55-16=39"
] | Current State: 39:[5, 57, 55, 23], Operations: []
Exploring Operation: 57+23=80, Resulting Numbers: [5, 55, 80]
Generated Node #2: [5, 55, 80] from Operation: 57+23=80
Current State: 39:[5, 55, 80], Operations: ['57+23=80']
Exploring Operation: 80/5=16, Resulting Numbers: [55, 16]
Generated Node #3: [55, 16] from Operation: 80/5=16
Current State: 39:[55, 16], Operations: ['57+23=80', '80/5=16']
Exploring Operation: 55-16=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
72,
63,
26,
76
] | 85 | [
"72+63=135",
"76-26=50",
"135-50=85"
] | Current State: 85:[72, 63, 26, 76], Operations: []
Exploring Operation: 72+63=135, Resulting Numbers: [26, 76, 135]
Generated Node #2: [26, 76, 135] from Operation: 72+63=135
Current State: 85:[26, 76, 135], Operations: ['72+63=135']
Exploring Operation: 76-26=50, Resulting Numbers: [135, 50]
Generated Node #3: [135, 50] from Operation: 76-26=50
Current State: 85:[135, 50], Operations: ['72+63=135', '76-26=50']
Exploring Operation: 135-50=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
75,
69,
60,
23
] | 35 | [
"75*23=1725",
"1725/69=25",
"60-25=35"
] | Current State: 35:[75, 69, 60, 23], Operations: []
Exploring Operation: 75*23=1725, Resulting Numbers: [69, 60, 1725]
Generated Node #2: [69, 60, 1725] from Operation: 75*23=1725
Current State: 35:[69, 60, 1725], Operations: ['75*23=1725']
Exploring Operation: 1725/69=25, Resulting Numbers: [60, 25]
Generated Node #3: [60, 25] from Operation: 1725/69=25
Current State: 35:[60, 25], Operations: ['75*23=1725', '1725/69=25']
Exploring Operation: 60-25=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
3,
98,
81,
36
] | 50 | [
"98-3=95",
"81-36=45",
"95-45=50"
] | Current State: 50:[3, 98, 81, 36], Operations: []
Exploring Operation: 98-3=95, Resulting Numbers: [81, 36, 95]
Generated Node #2: [81, 36, 95] from Operation: 98-3=95
Current State: 50:[81, 36, 95], Operations: ['98-3=95']
Exploring Operation: 81-36=45, Resulting Numbers: [95, 45]
Generated Node #3: [95, 45] from Operation: 81-36=45
Current State: 50:[95, 45], Operations: ['98-3=95', '81-36=45']
Exploring Operation: 95-45=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
48,
29,
23,
29
] | 23 | [
"29-29=0",
"48*0=0",
"23+0=23"
] | Current State: 23:[48, 29, 23, 29], Operations: []
Exploring Operation: 29-29=0, Resulting Numbers: [48, 23, 0]
Generated Node #2: [48, 23, 0] from Operation: 29-29=0
Current State: 23:[48, 23, 0], Operations: ['29-29=0']
Exploring Operation: 48*0=0, Resulting Numbers: [23, 0]
Generated Node #3: [23, 0] from Operation: 48*0=0
Current State: 23:[23, 0], Operations: ['29-29=0', '48*0=0']
Exploring Operation: 23+0=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
95,
57,
38,
77
] | 69 | [
"38+77=115",
"57*115=6555",
"6555/95=69"
] | Current State: 69:[95, 57, 38, 77], Operations: []
Exploring Operation: 38+77=115, Resulting Numbers: [95, 57, 115]
Generated Node #2: [95, 57, 115] from Operation: 38+77=115
Current State: 69:[95, 57, 115], Operations: ['38+77=115']
Exploring Operation: 57*115=6555, Resulting Numbers: [95, 6555]
Generated Node #3: [95, 6555] from Operation: 57*115=6555
Current State: 69:[95, 6555], Operations: ['38+77=115', '57*115=6555']
Exploring Operation: 6555/95=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
5,
44,
65,
26
] | 79 | [
"65-44=21",
"5*21=105",
"105-26=79"
] | Current State: 79:[5, 44, 65, 26], Operations: []
Exploring Operation: 65-44=21, Resulting Numbers: [5, 26, 21]
Generated Node #2: [5, 26, 21] from Operation: 65-44=21
Current State: 79:[5, 26, 21], Operations: ['65-44=21']
Exploring Operation: 5*21=105, Resulting Numbers: [26, 105]
Generated Node #3: [26, 105] from Operation: 5*21=105
Current State: 79:[26, 105], Operations: ['65-44=21', '5*21=105']
Exploring Operation: 105-26=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
84,
69,
45,
90
] | 54 | [
"69*90=6210",
"6210/45=138",
"138-84=54"
] | Current State: 54:[84, 69, 45, 90], Operations: []
Exploring Operation: 69*90=6210, Resulting Numbers: [84, 45, 6210]
Generated Node #2: [84, 45, 6210] from Operation: 69*90=6210
Current State: 54:[84, 45, 6210], Operations: ['69*90=6210']
Exploring Operation: 6210/45=138, Resulting Numbers: [84, 138]
Generated Node #3: [84, 138] from Operation: 6210/45=138
Current State: 54:[84, 138], Operations: ['69*90=6210', '6210/45=138']
Exploring Operation: 138-84=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
16,
35,
6,
64
] | 67 | [
"16*6=96",
"64-35=29",
"96-29=67"
] | Current State: 67:[16, 35, 6, 64], Operations: []
Exploring Operation: 16*6=96, Resulting Numbers: [35, 64, 96]
Generated Node #2: [35, 64, 96] from Operation: 16*6=96
Current State: 67:[35, 64, 96], Operations: ['16*6=96']
Exploring Operation: 64-35=29, Resulting Numbers: [96, 29]
Generated Node #3: [96, 29] from Operation: 64-35=29
Current State: 67:[96, 29], Operations: ['16*6=96', '64-35=29']
Exploring Operation: 96-29=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
14,
25,
41,
12
] | 42 | [
"25-14=11",
"41+12=53",
"53-11=42"
] | Current State: 42:[14, 25, 41, 12], Operations: []
Exploring Operation: 25-14=11, Resulting Numbers: [41, 12, 11]
Generated Node #2: [41, 12, 11] from Operation: 25-14=11
Current State: 42:[41, 12, 11], Operations: ['25-14=11']
Exploring Operation: 41+12=53, Resulting Numbers: [11, 53]
Generated Node #3: [11, 53] from Operation: 41+12=53
Current State: 42:[11, 53], Operations: ['25-14=11', '41+12=53']
Exploring Operation: 53-11=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
56,
82,
86,
63
] | 66 | [
"82+86=168",
"168/56=3",
"63+3=66"
] | Current State: 66:[56, 82, 86, 63], Operations: []
Exploring Operation: 82+86=168, Resulting Numbers: [56, 63, 168]
Generated Node #2: [56, 63, 168] from Operation: 82+86=168
Current State: 66:[56, 63, 168], Operations: ['82+86=168']
Exploring Operation: 168/56=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 168/56=3
Current State: 66:[63, 3], Operations: ['82+86=168', '168/56=3']
Exploring Operation: 63+3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
85,
38,
16,
81
] | 18 | [
"85-38=47",
"81-16=65",
"65-47=18"
] | Current State: 18:[85, 38, 16, 81], Operations: []
Exploring Operation: 85-38=47, Resulting Numbers: [16, 81, 47]
Generated Node #2: [16, 81, 47] from Operation: 85-38=47
Current State: 18:[16, 81, 47], Operations: ['85-38=47']
Exploring Operation: 81-16=65, Resulting Numbers: [47, 65]
Generated Node #3: [47, 65] from Operation: 81-16=65
Current State: 18:[47, 65], Operations: ['85-38=47', '81-16=65']
Exploring Operation: 65-47=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
55,
33,
54,
45
] | 77 | [
"55-33=22",
"54+45=99",
"99-22=77"
] | Current State: 77:[55, 33, 54, 45], Operations: []
Exploring Operation: 55-33=22, Resulting Numbers: [54, 45, 22]
Generated Node #2: [54, 45, 22] from Operation: 55-33=22
Current State: 77:[54, 45, 22], Operations: ['55-33=22']
Exploring Operation: 54+45=99, Resulting Numbers: [22, 99]
Generated Node #3: [22, 99] from Operation: 54+45=99
Current State: 77:[22, 99], Operations: ['55-33=22', '54+45=99']
Exploring Operation: 99-22=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
67,
11,
19,
43
] | 80 | [
"67*11=737",
"19*43=817",
"817-737=80"
] | Current State: 80:[67, 11, 19, 43], Operations: []
Exploring Operation: 67*11=737, Resulting Numbers: [19, 43, 737]
Generated Node #2: [19, 43, 737] from Operation: 67*11=737
Current State: 80:[19, 43, 737], Operations: ['67*11=737']
Exploring Operation: 19*43=817, Resulting Numbers: [737, 817]
Generated Node #3: [737, 817] from Operation: 19*43=817
Current State: 80:[737, 817], Operations: ['67*11=737', '19*43=817']
Exploring Operation: 817-737=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
68,
50,
54,
32
] | 15 | [
"54-50=4",
"68/4=17",
"32-17=15"
] | Current State: 15:[68, 50, 54, 32], Operations: []
Exploring Operation: 54-50=4, Resulting Numbers: [68, 32, 4]
Generated Node #2: [68, 32, 4] from Operation: 54-50=4
Current State: 15:[68, 32, 4], Operations: ['54-50=4']
Exploring Operation: 68/4=17, Resulting Numbers: [32, 17]
Generated Node #3: [32, 17] from Operation: 68/4=17
Current State: 15:[32, 17], Operations: ['54-50=4', '68/4=17']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
19,
50,
10,
67
] | 47 | [
"67-10=57",
"57/19=3",
"50-3=47"
] | Current State: 47:[19, 50, 10, 67], Operations: []
Exploring Operation: 67-10=57, Resulting Numbers: [19, 50, 57]
Generated Node #2: [19, 50, 57] from Operation: 67-10=57
Current State: 47:[19, 50, 57], Operations: ['67-10=57']
Exploring Operation: 57/19=3, Resulting Numbers: [50, 3]
Generated Node #3: [50, 3] from Operation: 57/19=3
Current State: 47:[50, 3], Operations: ['67-10=57', '57/19=3']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
5,
88,
40,
75
] | 95 | [
"75-40=35",
"35/5=7",
"88+7=95"
] | Current State: 95:[5, 88, 40, 75], Operations: []
Exploring Operation: 75-40=35, Resulting Numbers: [5, 88, 35]
Generated Node #2: [5, 88, 35] from Operation: 75-40=35
Current State: 95:[5, 88, 35], Operations: ['75-40=35']
Exploring Operation: 35/5=7, Resulting Numbers: [88, 7]
Generated Node #3: [88, 7] from Operation: 35/5=7
Current State: 95:[88, 7], Operations: ['75-40=35', '35/5=7']
Exploring Operation: 88+7=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
63,
18,
16,
32
] | 43 | [
"63-18=45",
"32/16=2",
"45-2=43"
] | Current State: 43:[63, 18, 16, 32], Operations: []
Exploring Operation: 63-18=45, Resulting Numbers: [16, 32, 45]
Generated Node #2: [16, 32, 45] from Operation: 63-18=45
Current State: 43:[16, 32, 45], Operations: ['63-18=45']
Exploring Operation: 32/16=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 32/16=2
Current State: 43:[45, 2], Operations: ['63-18=45', '32/16=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
42,
81,
32,
50
] | 57 | [
"81-42=39",
"50-32=18",
"39+18=57"
] | Current State: 57:[42, 81, 32, 50], Operations: []
Exploring Operation: 81-42=39, Resulting Numbers: [32, 50, 39]
Generated Node #2: [32, 50, 39] from Operation: 81-42=39
Current State: 57:[32, 50, 39], Operations: ['81-42=39']
Exploring Operation: 50-32=18, Resulting Numbers: [39, 18]
Generated Node #3: [39, 18] from Operation: 50-32=18
Current State: 57:[39, 18], Operations: ['81-42=39', '50-32=18']
Exploring Operation: 39+18=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
2,
75,
64,
50
] | 47 | [
"64-50=14",
"2*14=28",
"75-28=47"
] | Current State: 47:[2, 75, 64, 50], Operations: []
Exploring Operation: 64-50=14, Resulting Numbers: [2, 75, 14]
Generated Node #2: [2, 75, 14] from Operation: 64-50=14
Current State: 47:[2, 75, 14], Operations: ['64-50=14']
Exploring Operation: 2*14=28, Resulting Numbers: [75, 28]
Generated Node #3: [75, 28] from Operation: 2*14=28
Current State: 47:[75, 28], Operations: ['64-50=14', '2*14=28']
Exploring Operation: 75-28=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
26,
67,
79,
10
] | 28 | [
"67-26=41",
"79-10=69",
"69-41=28"
] | Current State: 28:[26, 67, 79, 10], Operations: []
Exploring Operation: 67-26=41, Resulting Numbers: [79, 10, 41]
Generated Node #2: [79, 10, 41] from Operation: 67-26=41
Current State: 28:[79, 10, 41], Operations: ['67-26=41']
Exploring Operation: 79-10=69, Resulting Numbers: [41, 69]
Generated Node #3: [41, 69] from Operation: 79-10=69
Current State: 28:[41, 69], Operations: ['67-26=41', '79-10=69']
Exploring Operation: 69-41=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
9,
3,
47,
87
] | 37 | [
"9/3=3",
"87-47=40",
"40-3=37"
] | Current State: 37:[9, 3, 47, 87], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [47, 87, 3]
Generated Node #2: [47, 87, 3] from Operation: 9/3=3
Current State: 37:[47, 87, 3], Operations: ['9/3=3']
Exploring Operation: 87-47=40, Resulting Numbers: [3, 40]
Generated Node #3: [3, 40] from Operation: 87-47=40
Current State: 37:[3, 40], Operations: ['9/3=3', '87-47=40']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
39,
24,
66,
31
] | 69 | [
"39-31=8",
"24/8=3",
"66+3=69"
] | Current State: 69:[39, 24, 66, 31], Operations: []
Exploring Operation: 39-31=8, Resulting Numbers: [24, 66, 8]
Generated Node #2: [24, 66, 8] from Operation: 39-31=8
Current State: 69:[24, 66, 8], Operations: ['39-31=8']
Exploring Operation: 24/8=3, Resulting Numbers: [66, 3]
Generated Node #3: [66, 3] from Operation: 24/8=3
Current State: 69:[66, 3], Operations: ['39-31=8', '24/8=3']
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
29,
8,
52,
51
] | 66 | [
"29+8=37",
"52+51=103",
"103-37=66"
] | Current State: 66:[29, 8, 52, 51], Operations: []
Exploring Operation: 29+8=37, Resulting Numbers: [52, 51, 37]
Generated Node #2: [52, 51, 37] from Operation: 29+8=37
Current State: 66:[52, 51, 37], Operations: ['29+8=37']
Exploring Operation: 52+51=103, Resulting Numbers: [37, 103]
Generated Node #3: [37, 103] from Operation: 52+51=103
Current State: 66:[37, 103], Operations: ['29+8=37', '52+51=103']
Exploring Operation: 103-37=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
48,
54,
73,
77
] | 98 | [
"48+54=102",
"77-73=4",
"102-4=98"
] | Current State: 98:[48, 54, 73, 77], Operations: []
Exploring Operation: 48+54=102, Resulting Numbers: [73, 77, 102]
Generated Node #2: [73, 77, 102] from Operation: 48+54=102
Current State: 98:[73, 77, 102], Operations: ['48+54=102']
Exploring Operation: 77-73=4, Resulting Numbers: [102, 4]
Generated Node #3: [102, 4] from Operation: 77-73=4
Current State: 98:[102, 4], Operations: ['48+54=102', '77-73=4']
Exploring Operation: 102-4=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
40,
89,
4,
39
] | 93 | [
"40-39=1",
"89+4=93",
"1*93=93"
] | Current State: 93:[40, 89, 4, 39], Operations: []
Exploring Operation: 40-39=1, Resulting Numbers: [89, 4, 1]
Generated Node #2: [89, 4, 1] from Operation: 40-39=1
Current State: 93:[89, 4, 1], Operations: ['40-39=1']
Exploring Operation: 89+4=93, Resulting Numbers: [1, 93]
Generated Node #3: [1, 93] from Operation: 89+4=93
Current State: 93:[1, 93], Operations: ['40-39=1', '89+4=93']
Exploring Operation: 1*93=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
91,
43,
10,
22
] | 86 | [
"91+43=134",
"10*22=220",
"220-134=86"
] | Current State: 86:[91, 43, 10, 22], Operations: []
Exploring Operation: 91+43=134, Resulting Numbers: [10, 22, 134]
Generated Node #2: [10, 22, 134] from Operation: 91+43=134
Current State: 86:[10, 22, 134], Operations: ['91+43=134']
Exploring Operation: 10*22=220, Resulting Numbers: [134, 220]
Generated Node #3: [134, 220] from Operation: 10*22=220
Current State: 86:[134, 220], Operations: ['91+43=134', '10*22=220']
Exploring Operation: 220-134=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
47,
45,
36,
2
] | 85 | [
"47*2=94",
"45-36=9",
"94-9=85"
] | Current State: 85:[47, 45, 36, 2], Operations: []
Exploring Operation: 47*2=94, Resulting Numbers: [45, 36, 94]
Generated Node #2: [45, 36, 94] from Operation: 47*2=94
Current State: 85:[45, 36, 94], Operations: ['47*2=94']
Exploring Operation: 45-36=9, Resulting Numbers: [94, 9]
Generated Node #3: [94, 9] from Operation: 45-36=9
Current State: 85:[94, 9], Operations: ['47*2=94', '45-36=9']
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
28,
71,
87,
63
] | 67 | [
"71-28=43",
"87-63=24",
"43+24=67"
] | Current State: 67:[28, 71, 87, 63], Operations: []
Exploring Operation: 71-28=43, Resulting Numbers: [87, 63, 43]
Generated Node #2: [87, 63, 43] from Operation: 71-28=43
Current State: 67:[87, 63, 43], Operations: ['71-28=43']
Exploring Operation: 87-63=24, Resulting Numbers: [43, 24]
Generated Node #3: [43, 24] from Operation: 87-63=24
Current State: 67:[43, 24], Operations: ['71-28=43', '87-63=24']
Exploring Operation: 43+24=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
31,
62,
66,
27
] | 60 | [
"62/31=2",
"66/2=33",
"27+33=60"
] | Current State: 60:[31, 62, 66, 27], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [66, 27, 2]
Generated Node #2: [66, 27, 2] from Operation: 62/31=2
Current State: 60:[66, 27, 2], Operations: ['62/31=2']
Exploring Operation: 66/2=33, Resulting Numbers: [27, 33]
Generated Node #3: [27, 33] from Operation: 66/2=33
Current State: 60:[27, 33], Operations: ['62/31=2', '66/2=33']
Exploring Operation: 27+33=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
31,
3,
54,
58
] | 43 | [
"58-54=4",
"3*4=12",
"31+12=43"
] | Current State: 43:[31, 3, 54, 58], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [31, 3, 4]
Generated Node #2: [31, 3, 4] from Operation: 58-54=4
Current State: 43:[31, 3, 4], Operations: ['58-54=4']
Exploring Operation: 3*4=12, Resulting Numbers: [31, 12]
Generated Node #3: [31, 12] from Operation: 3*4=12
Current State: 43:[31, 12], Operations: ['58-54=4', '3*4=12']
Exploring Operation: 31+12=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
2,
25,
2,
17
] | 37 | [
"2+25=27",
"2*27=54",
"54-17=37"
] | Current State: 37:[2, 25, 2, 17], Operations: []
Exploring Operation: 2+25=27, Resulting Numbers: [17, 27]
Generated Node #2: [17, 27] from Operation: 2+25=27
Current State: 37:[17, 27], Operations: ['2+25=27']
Exploring Operation: 2*27=54, Resulting Numbers: [17, 54]
Generated Node #3: [17, 54] from Operation: 2*27=54
Current State: 37:[17, 54], Operations: ['2+25=27', '2*27=54']
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
75,
33,
91,
43
] | 60 | [
"75+33=108",
"91-43=48",
"108-48=60"
] | Current State: 60:[75, 33, 91, 43], Operations: []
Exploring Operation: 75+33=108, Resulting Numbers: [91, 43, 108]
Generated Node #2: [91, 43, 108] from Operation: 75+33=108
Current State: 60:[91, 43, 108], Operations: ['75+33=108']
Exploring Operation: 91-43=48, Resulting Numbers: [108, 48]
Generated Node #3: [108, 48] from Operation: 91-43=48
Current State: 60:[108, 48], Operations: ['75+33=108', '91-43=48']
Exploring Operation: 108-48=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
10,
25,
61,
5
] | 58 | [
"25-10=15",
"15/5=3",
"61-3=58"
] | Current State: 58:[10, 25, 61, 5], Operations: []
Exploring Operation: 25-10=15, Resulting Numbers: [61, 5, 15]
Generated Node #2: [61, 5, 15] from Operation: 25-10=15
Current State: 58:[61, 5, 15], Operations: ['25-10=15']
Exploring Operation: 15/5=3, Resulting Numbers: [61, 3]
Generated Node #3: [61, 3] from Operation: 15/5=3
Current State: 58:[61, 3], Operations: ['25-10=15', '15/5=3']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
95,
63,
57,
4
] | 89 | [
"95-57=38",
"4*38=152",
"152-63=89"
] | Current State: 89:[95, 63, 57, 4], Operations: []
Exploring Operation: 95-57=38, Resulting Numbers: [63, 4, 38]
Generated Node #2: [63, 4, 38] from Operation: 95-57=38
Current State: 89:[63, 4, 38], Operations: ['95-57=38']
Exploring Operation: 4*38=152, Resulting Numbers: [63, 152]
Generated Node #3: [63, 152] from Operation: 4*38=152
Current State: 89:[63, 152], Operations: ['95-57=38', '4*38=152']
Exploring Operation: 152-63=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
2,
42,
57,
23
] | 95 | [
"2*57=114",
"42-23=19",
"114-19=95"
] | Current State: 95:[2, 42, 57, 23], Operations: []
Exploring Operation: 2*57=114, Resulting Numbers: [42, 23, 114]
Generated Node #2: [42, 23, 114] from Operation: 2*57=114
Current State: 95:[42, 23, 114], Operations: ['2*57=114']
Exploring Operation: 42-23=19, Resulting Numbers: [114, 19]
Generated Node #3: [114, 19] from Operation: 42-23=19
Current State: 95:[114, 19], Operations: ['2*57=114', '42-23=19']
Exploring Operation: 114-19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
60,
70,
57,
58
] | 10 | [
"70-60=10",
"58-57=1",
"10*1=10"
] | Current State: 10:[60, 70, 57, 58], Operations: []
Exploring Operation: 70-60=10, Resulting Numbers: [57, 58, 10]
Generated Node #2: [57, 58, 10] from Operation: 70-60=10
Current State: 10:[57, 58, 10], Operations: ['70-60=10']
Exploring Operation: 58-57=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 58-57=1
Current State: 10:[10, 1], Operations: ['70-60=10', '58-57=1']
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
64,
55,
86,
37
] | 40 | [
"64-55=9",
"86-37=49",
"49-9=40"
] | Current State: 40:[64, 55, 86, 37], Operations: []
Exploring Operation: 64-55=9, Resulting Numbers: [86, 37, 9]
Generated Node #2: [86, 37, 9] from Operation: 64-55=9
Current State: 40:[86, 37, 9], Operations: ['64-55=9']
Exploring Operation: 86-37=49, Resulting Numbers: [9, 49]
Generated Node #3: [9, 49] from Operation: 86-37=49
Current State: 40:[9, 49], Operations: ['64-55=9', '86-37=49']
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
85,
99,
54,
91
] | 51 | [
"99-85=14",
"91-54=37",
"14+37=51"
] | Current State: 51:[85, 99, 54, 91], Operations: []
Exploring Operation: 99-85=14, Resulting Numbers: [54, 91, 14]
Generated Node #2: [54, 91, 14] from Operation: 99-85=14
Current State: 51:[54, 91, 14], Operations: ['99-85=14']
Exploring Operation: 91-54=37, Resulting Numbers: [14, 37]
Generated Node #3: [14, 37] from Operation: 91-54=37
Current State: 51:[14, 37], Operations: ['99-85=14', '91-54=37']
Exploring Operation: 14+37=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
74,
85,
65,
48
] | 67 | [
"85-48=37",
"74/37=2",
"65+2=67"
] | Current State: 67:[74, 85, 65, 48], Operations: []
Exploring Operation: 85-48=37, Resulting Numbers: [74, 65, 37]
Generated Node #2: [74, 65, 37] from Operation: 85-48=37
Current State: 67:[74, 65, 37], Operations: ['85-48=37']
Exploring Operation: 74/37=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 74/37=2
Current State: 67:[65, 2], Operations: ['85-48=37', '74/37=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
9,
79,
7,
80
] | 74 | [
"9+7=16",
"80/16=5",
"79-5=74"
] | Current State: 74:[9, 79, 7, 80], Operations: []
Exploring Operation: 9+7=16, Resulting Numbers: [79, 80, 16]
Generated Node #2: [79, 80, 16] from Operation: 9+7=16
Current State: 74:[79, 80, 16], Operations: ['9+7=16']
Exploring Operation: 80/16=5, Resulting Numbers: [79, 5]
Generated Node #3: [79, 5] from Operation: 80/16=5
Current State: 74:[79, 5], Operations: ['9+7=16', '80/16=5']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
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