nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
92,
97,
14,
50
] | 100 | [
"92-50=42",
"42/14=3",
"97+3=100"
] | Current State: 100:[92, 97, 14, 50], Operations: []
Exploring Operation: 92-50=42, Resulting Numbers: [97, 14, 42]
Generated Node #2: [97, 14, 42] from Operation: 92-50=42
Current State: 100:[97, 14, 42], Operations: ['92-50=42']
Exploring Operation: 42/14=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 42/14=3
Current State: 100:[97, 3], Operations: ['92-50=42', '42/14=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
80,
40,
60,
47
] | 53 | [
"80-40=40",
"60-47=13",
"40+13=53"
] | Current State: 53:[80, 40, 60, 47], Operations: []
Exploring Operation: 80-40=40, Resulting Numbers: [60, 47, 40]
Generated Node #2: [60, 47, 40] from Operation: 80-40=40
Current State: 53:[60, 47, 40], Operations: ['80-40=40']
Exploring Operation: 60-47=13, Resulting Numbers: [40, 13]
Generated Node #3: [40, 13] from Operation: 60-47=13
Current State: 53:[40, 13], Operations: ['80-40=40', '60-47=13']
Exploring Operation: 40+13=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
33,
2,
23,
68
] | 44 | [
"33+23=56",
"2*56=112",
"112-68=44"
] | Current State: 44:[33, 2, 23, 68], Operations: []
Exploring Operation: 33+23=56, Resulting Numbers: [2, 68, 56]
Generated Node #2: [2, 68, 56] from Operation: 33+23=56
Current State: 44:[2, 68, 56], Operations: ['33+23=56']
Exploring Operation: 2*56=112, Resulting Numbers: [68, 112]
Generated Node #3: [68, 112] from Operation: 2*56=112
Current State: 44:[68, 112], Operations: ['33+23=56', '2*56=112']
Exploring Operation: 112-68=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
76,
78,
71,
5
] | 74 | [
"78-76=2",
"71+5=76",
"76-2=74"
] | Current State: 74:[76, 78, 71, 5], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [71, 5, 2]
Generated Node #2: [71, 5, 2] from Operation: 78-76=2
Current State: 74:[71, 5, 2], Operations: ['78-76=2']
Exploring Operation: 71+5=76, Resulting Numbers: [2, 76]
Generated Node #3: [2, 76] from Operation: 71+5=76
Current State: 74:[2, 76], Operations: ['78-76=2', '71+5=76']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
20,
82,
2,
26
] | 44 | [
"82-20=62",
"26+62=88",
"88/2=44"
] | Current State: 44:[20, 82, 2, 26], Operations: []
Exploring Operation: 82-20=62, Resulting Numbers: [2, 26, 62]
Generated Node #2: [2, 26, 62] from Operation: 82-20=62
Current State: 44:[2, 26, 62], Operations: ['82-20=62']
Exploring Operation: 26+62=88, Resulting Numbers: [2, 88]
Generated Node #3: [2, 88] from Operation: 26+62=88
Current State: 44:[2, 88], Operations: ['82-20=62', '26+62=88']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
69,
86,
24,
6
] | 35 | [
"86-69=17",
"24-6=18",
"17+18=35"
] | Current State: 35:[69, 86, 24, 6], Operations: []
Exploring Operation: 86-69=17, Resulting Numbers: [24, 6, 17]
Generated Node #2: [24, 6, 17] from Operation: 86-69=17
Current State: 35:[24, 6, 17], Operations: ['86-69=17']
Exploring Operation: 24-6=18, Resulting Numbers: [17, 18]
Generated Node #3: [17, 18] from Operation: 24-6=18
Current State: 35:[17, 18], Operations: ['86-69=17', '24-6=18']
Exploring Operation: 17+18=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
42,
35,
73,
31
] | 97 | [
"42-35=7",
"73+31=104",
"104-7=97"
] | Current State: 97:[42, 35, 73, 31], Operations: []
Exploring Operation: 42-35=7, Resulting Numbers: [73, 31, 7]
Generated Node #2: [73, 31, 7] from Operation: 42-35=7
Current State: 97:[73, 31, 7], Operations: ['42-35=7']
Exploring Operation: 73+31=104, Resulting Numbers: [7, 104]
Generated Node #3: [7, 104] from Operation: 73+31=104
Current State: 97:[7, 104], Operations: ['42-35=7', '73+31=104']
Exploring Operation: 104-7=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
14,
18,
84,
52
] | 40 | [
"84/14=6",
"52-18=34",
"6+34=40"
] | Current State: 40:[14, 18, 84, 52], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [18, 52, 6]
Generated Node #2: [18, 52, 6] from Operation: 84/14=6
Current State: 40:[18, 52, 6], Operations: ['84/14=6']
Exploring Operation: 52-18=34, Resulting Numbers: [6, 34]
Generated Node #3: [6, 34] from Operation: 52-18=34
Current State: 40:[6, 34], Operations: ['84/14=6', '52-18=34']
Exploring Operation: 6+34=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
71,
3,
63,
94
] | 56 | [
"71*3=213",
"63+94=157",
"213-157=56"
] | Current State: 56:[71, 3, 63, 94], Operations: []
Exploring Operation: 71*3=213, Resulting Numbers: [63, 94, 213]
Generated Node #2: [63, 94, 213] from Operation: 71*3=213
Current State: 56:[63, 94, 213], Operations: ['71*3=213']
Exploring Operation: 63+94=157, Resulting Numbers: [213, 157]
Generated Node #3: [213, 157] from Operation: 63+94=157
Current State: 56:[213, 157], Operations: ['71*3=213', '63+94=157']
Exploring Operation: 213-157=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
40,
93,
50,
67
] | 64 | [
"93-40=53",
"50+67=117",
"117-53=64"
] | Current State: 64:[40, 93, 50, 67], Operations: []
Exploring Operation: 93-40=53, Resulting Numbers: [50, 67, 53]
Generated Node #2: [50, 67, 53] from Operation: 93-40=53
Current State: 64:[50, 67, 53], Operations: ['93-40=53']
Exploring Operation: 50+67=117, Resulting Numbers: [53, 117]
Generated Node #3: [53, 117] from Operation: 50+67=117
Current State: 64:[53, 117], Operations: ['93-40=53', '50+67=117']
Exploring Operation: 117-53=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
21,
38,
12,
63
] | 16 | [
"21+38=59",
"12+63=75",
"75-59=16"
] | Current State: 16:[21, 38, 12, 63], Operations: []
Exploring Operation: 21+38=59, Resulting Numbers: [12, 63, 59]
Generated Node #2: [12, 63, 59] from Operation: 21+38=59
Current State: 16:[12, 63, 59], Operations: ['21+38=59']
Exploring Operation: 12+63=75, Resulting Numbers: [59, 75]
Generated Node #3: [59, 75] from Operation: 12+63=75
Current State: 16:[59, 75], Operations: ['21+38=59', '12+63=75']
Exploring Operation: 75-59=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
27,
93,
8,
70
] | 12 | [
"93-27=66",
"8+70=78",
"78-66=12"
] | Current State: 12:[27, 93, 8, 70], Operations: []
Exploring Operation: 93-27=66, Resulting Numbers: [8, 70, 66]
Generated Node #2: [8, 70, 66] from Operation: 93-27=66
Current State: 12:[8, 70, 66], Operations: ['93-27=66']
Exploring Operation: 8+70=78, Resulting Numbers: [66, 78]
Generated Node #3: [66, 78] from Operation: 8+70=78
Current State: 12:[66, 78], Operations: ['93-27=66', '8+70=78']
Exploring Operation: 78-66=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
66,
19,
3,
99
] | 30 | [
"99-66=33",
"33/3=11",
"19+11=30"
] | Current State: 30:[66, 19, 3, 99], Operations: []
Exploring Operation: 99-66=33, Resulting Numbers: [19, 3, 33]
Generated Node #2: [19, 3, 33] from Operation: 99-66=33
Current State: 30:[19, 3, 33], Operations: ['99-66=33']
Exploring Operation: 33/3=11, Resulting Numbers: [19, 11]
Generated Node #3: [19, 11] from Operation: 33/3=11
Current State: 30:[19, 11], Operations: ['99-66=33', '33/3=11']
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
99,
35,
62,
53
] | 46 | [
"62-53=9",
"99/9=11",
"35+11=46"
] | Current State: 46:[99, 35, 62, 53], Operations: []
Exploring Operation: 62-53=9, Resulting Numbers: [99, 35, 9]
Generated Node #2: [99, 35, 9] from Operation: 62-53=9
Current State: 46:[99, 35, 9], Operations: ['62-53=9']
Exploring Operation: 99/9=11, Resulting Numbers: [35, 11]
Generated Node #3: [35, 11] from Operation: 99/9=11
Current State: 46:[35, 11], Operations: ['62-53=9', '99/9=11']
Exploring Operation: 35+11=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
66,
69,
21,
12
] | 13 | [
"66+69=135",
"21+135=156",
"156/12=13"
] | Current State: 13:[66, 69, 21, 12], Operations: []
Exploring Operation: 66+69=135, Resulting Numbers: [21, 12, 135]
Generated Node #2: [21, 12, 135] from Operation: 66+69=135
Current State: 13:[21, 12, 135], Operations: ['66+69=135']
Exploring Operation: 21+135=156, Resulting Numbers: [12, 156]
Generated Node #3: [12, 156] from Operation: 21+135=156
Current State: 13:[12, 156], Operations: ['66+69=135', '21+135=156']
Exploring Operation: 156/12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
78,
20,
61,
19
] | 74 | [
"61+19=80",
"80/20=4",
"78-4=74"
] | Current State: 74:[78, 20, 61, 19], Operations: []
Exploring Operation: 61+19=80, Resulting Numbers: [78, 20, 80]
Generated Node #2: [78, 20, 80] from Operation: 61+19=80
Current State: 74:[78, 20, 80], Operations: ['61+19=80']
Exploring Operation: 80/20=4, Resulting Numbers: [78, 4]
Generated Node #3: [78, 4] from Operation: 80/20=4
Current State: 74:[78, 4], Operations: ['61+19=80', '80/20=4']
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
1,
94,
4,
17
] | 27 | [
"1+94=95",
"4*17=68",
"95-68=27"
] | Current State: 27:[1, 94, 4, 17], Operations: []
Exploring Operation: 1+94=95, Resulting Numbers: [4, 17, 95]
Generated Node #2: [4, 17, 95] from Operation: 1+94=95
Current State: 27:[4, 17, 95], Operations: ['1+94=95']
Exploring Operation: 4*17=68, Resulting Numbers: [95, 68]
Generated Node #3: [95, 68] from Operation: 4*17=68
Current State: 27:[95, 68], Operations: ['1+94=95', '4*17=68']
Exploring Operation: 95-68=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
2,
98,
15,
98
] | 68 | [
"98-15=83",
"2*83=166",
"166-98=68"
] | Current State: 68:[2, 98, 15, 98], Operations: []
Exploring Operation: 98-15=83, Resulting Numbers: [2, 83]
Generated Node #2: [2, 83] from Operation: 98-15=83
Current State: 68:[2, 83], Operations: ['98-15=83']
Exploring Operation: 2*83=166, Resulting Numbers: [166]
166,68 equal: Goal Reached
Exploring Operation: 166-98=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
44,
43,
36,
57
] | 20 | [
"44-43=1",
"57-36=21",
"21-1=20"
] | Current State: 20:[44, 43, 36, 57], Operations: []
Exploring Operation: 44-43=1, Resulting Numbers: [36, 57, 1]
Generated Node #2: [36, 57, 1] from Operation: 44-43=1
Current State: 20:[36, 57, 1], Operations: ['44-43=1']
Exploring Operation: 57-36=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 57-36=21
Current State: 20:[1, 21], Operations: ['44-43=1', '57-36=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
50,
51,
6,
58
] | 50 | [
"51+6=57",
"58-57=1",
"50*1=50"
] | Current State: 50:[50, 51, 6, 58], Operations: []
Exploring Operation: 51+6=57, Resulting Numbers: [50, 58, 57]
Generated Node #2: [50, 58, 57] from Operation: 51+6=57
Current State: 50:[50, 58, 57], Operations: ['51+6=57']
Exploring Operation: 58-57=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 58-57=1
Current State: 50:[50, 1], Operations: ['51+6=57', '58-57=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
94,
47,
57,
78
] | 19 | [
"94/47=2",
"78-57=21",
"21-2=19"
] | Current State: 19:[94, 47, 57, 78], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [57, 78, 2]
Generated Node #2: [57, 78, 2] from Operation: 94/47=2
Current State: 19:[57, 78, 2], Operations: ['94/47=2']
Exploring Operation: 78-57=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 78-57=21
Current State: 19:[2, 21], Operations: ['94/47=2', '78-57=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
29,
49,
70,
9
] | 81 | [
"49-29=20",
"70-9=61",
"20+61=81"
] | Current State: 81:[29, 49, 70, 9], Operations: []
Exploring Operation: 49-29=20, Resulting Numbers: [70, 9, 20]
Generated Node #2: [70, 9, 20] from Operation: 49-29=20
Current State: 81:[70, 9, 20], Operations: ['49-29=20']
Exploring Operation: 70-9=61, Resulting Numbers: [20, 61]
Generated Node #3: [20, 61] from Operation: 70-9=61
Current State: 81:[20, 61], Operations: ['49-29=20', '70-9=61']
Exploring Operation: 20+61=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
43,
5,
78,
8
] | 15 | [
"78-43=35",
"35/5=7",
"8+7=15"
] | Current State: 15:[43, 5, 78, 8], Operations: []
Exploring Operation: 78-43=35, Resulting Numbers: [5, 8, 35]
Generated Node #2: [5, 8, 35] from Operation: 78-43=35
Current State: 15:[5, 8, 35], Operations: ['78-43=35']
Exploring Operation: 35/5=7, Resulting Numbers: [8, 7]
Generated Node #3: [8, 7] from Operation: 35/5=7
Current State: 15:[8, 7], Operations: ['78-43=35', '35/5=7']
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
69,
97,
38,
7
] | 100 | [
"69+97=166",
"38*7=266",
"266-166=100"
] | Current State: 100:[69, 97, 38, 7], Operations: []
Exploring Operation: 69+97=166, Resulting Numbers: [38, 7, 166]
Generated Node #2: [38, 7, 166] from Operation: 69+97=166
Current State: 100:[38, 7, 166], Operations: ['69+97=166']
Exploring Operation: 38*7=266, Resulting Numbers: [166, 266]
Generated Node #3: [166, 266] from Operation: 38*7=266
Current State: 100:[166, 266], Operations: ['69+97=166', '38*7=266']
Exploring Operation: 266-166=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
58,
3,
39,
86
] | 41 | [
"86-58=28",
"39/3=13",
"28+13=41"
] | Current State: 41:[58, 3, 39, 86], Operations: []
Exploring Operation: 86-58=28, Resulting Numbers: [3, 39, 28]
Generated Node #2: [3, 39, 28] from Operation: 86-58=28
Current State: 41:[3, 39, 28], Operations: ['86-58=28']
Exploring Operation: 39/3=13, Resulting Numbers: [28, 13]
Generated Node #3: [28, 13] from Operation: 39/3=13
Current State: 41:[28, 13], Operations: ['86-58=28', '39/3=13']
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
92,
77,
20,
94
] | 59 | [
"92-77=15",
"94-20=74",
"74-15=59"
] | Current State: 59:[92, 77, 20, 94], Operations: []
Exploring Operation: 92-77=15, Resulting Numbers: [20, 94, 15]
Generated Node #2: [20, 94, 15] from Operation: 92-77=15
Current State: 59:[20, 94, 15], Operations: ['92-77=15']
Exploring Operation: 94-20=74, Resulting Numbers: [15, 74]
Generated Node #3: [15, 74] from Operation: 94-20=74
Current State: 59:[15, 74], Operations: ['92-77=15', '94-20=74']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
37,
18,
48,
19
] | 85 | [
"37+48=85",
"19-18=1",
"85*1=85"
] | Current State: 85:[37, 18, 48, 19], Operations: []
Exploring Operation: 37+48=85, Resulting Numbers: [18, 19, 85]
Generated Node #2: [18, 19, 85] from Operation: 37+48=85
Current State: 85:[18, 19, 85], Operations: ['37+48=85']
Exploring Operation: 19-18=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 19-18=1
Current State: 85:[85, 1], Operations: ['37+48=85', '19-18=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
80,
76,
9,
28
] | 41 | [
"80-76=4",
"9+28=37",
"4+37=41"
] | Current State: 41:[80, 76, 9, 28], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [9, 28, 4]
Generated Node #2: [9, 28, 4] from Operation: 80-76=4
Current State: 41:[9, 28, 4], Operations: ['80-76=4']
Exploring Operation: 9+28=37, Resulting Numbers: [4, 37]
Generated Node #3: [4, 37] from Operation: 9+28=37
Current State: 41:[4, 37], Operations: ['80-76=4', '9+28=37']
Exploring Operation: 4+37=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
28,
75,
13,
3
] | 57 | [
"75-28=47",
"13-3=10",
"47+10=57"
] | Current State: 57:[28, 75, 13, 3], Operations: []
Exploring Operation: 75-28=47, Resulting Numbers: [13, 3, 47]
Generated Node #2: [13, 3, 47] from Operation: 75-28=47
Current State: 57:[13, 3, 47], Operations: ['75-28=47']
Exploring Operation: 13-3=10, Resulting Numbers: [47, 10]
Generated Node #3: [47, 10] from Operation: 13-3=10
Current State: 57:[47, 10], Operations: ['75-28=47', '13-3=10']
Exploring Operation: 47+10=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
83,
50,
97,
94
] | 11 | [
"83-50=33",
"97-94=3",
"33/3=11"
] | Current State: 11:[83, 50, 97, 94], Operations: []
Exploring Operation: 83-50=33, Resulting Numbers: [97, 94, 33]
Generated Node #2: [97, 94, 33] from Operation: 83-50=33
Current State: 11:[97, 94, 33], Operations: ['83-50=33']
Exploring Operation: 97-94=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 97-94=3
Current State: 11:[33, 3], Operations: ['83-50=33', '97-94=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
47,
13,
47,
73
] | 94 | [
"73-47=26",
"26/13=2",
"47*2=94"
] | Current State: 94:[47, 13, 47, 73], Operations: []
Exploring Operation: 73-47=26, Resulting Numbers: [13, 26]
Generated Node #2: [13, 26] from Operation: 73-47=26
Current State: 94:[13, 26], Operations: ['73-47=26']
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,94 equal: Goal Reached
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
83,
97,
66,
1
] | 80 | [
"97-83=14",
"66*1=66",
"14+66=80"
] | Current State: 80:[83, 97, 66, 1], Operations: []
Exploring Operation: 97-83=14, Resulting Numbers: [66, 1, 14]
Generated Node #2: [66, 1, 14] from Operation: 97-83=14
Current State: 80:[66, 1, 14], Operations: ['97-83=14']
Exploring Operation: 66*1=66, Resulting Numbers: [14, 66]
Generated Node #3: [14, 66] from Operation: 66*1=66
Current State: 80:[14, 66], Operations: ['97-83=14', '66*1=66']
Exploring Operation: 14+66=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
7,
55,
17,
26
] | 38 | [
"7*17=119",
"55+26=81",
"119-81=38"
] | Current State: 38:[7, 55, 17, 26], Operations: []
Exploring Operation: 7*17=119, Resulting Numbers: [55, 26, 119]
Generated Node #2: [55, 26, 119] from Operation: 7*17=119
Current State: 38:[55, 26, 119], Operations: ['7*17=119']
Exploring Operation: 55+26=81, Resulting Numbers: [119, 81]
Generated Node #3: [119, 81] from Operation: 55+26=81
Current State: 38:[119, 81], Operations: ['7*17=119', '55+26=81']
Exploring Operation: 119-81=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
76,
68,
90,
68
] | 15 | [
"90-76=14",
"68/68=1",
"14+1=15"
] | Current State: 15:[76, 68, 90, 68], Operations: []
Exploring Operation: 90-76=14, Resulting Numbers: [68, 68, 14]
Generated Node #2: [68, 68, 14] from Operation: 90-76=14
Current State: 15:[68, 68, 14], Operations: ['90-76=14']
Exploring Operation: 68/68=1, Resulting Numbers: [14, 1]
Generated Node #3: [14, 1] from Operation: 68/68=1
Current State: 15:[14, 1], Operations: ['90-76=14', '68/68=1']
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
53,
5,
49,
21
] | 30 | [
"53+5=58",
"49-21=28",
"58-28=30"
] | Current State: 30:[53, 5, 49, 21], Operations: []
Exploring Operation: 53+5=58, Resulting Numbers: [49, 21, 58]
Generated Node #2: [49, 21, 58] from Operation: 53+5=58
Current State: 30:[49, 21, 58], Operations: ['53+5=58']
Exploring Operation: 49-21=28, Resulting Numbers: [58, 28]
Generated Node #3: [58, 28] from Operation: 49-21=28
Current State: 30:[58, 28], Operations: ['53+5=58', '49-21=28']
Exploring Operation: 58-28=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
5,
72,
36,
40
] | 71 | [
"72-5=67",
"40-36=4",
"67+4=71"
] | Current State: 71:[5, 72, 36, 40], Operations: []
Exploring Operation: 72-5=67, Resulting Numbers: [36, 40, 67]
Generated Node #2: [36, 40, 67] from Operation: 72-5=67
Current State: 71:[36, 40, 67], Operations: ['72-5=67']
Exploring Operation: 40-36=4, Resulting Numbers: [67, 4]
Generated Node #3: [67, 4] from Operation: 40-36=4
Current State: 71:[67, 4], Operations: ['72-5=67', '40-36=4']
Exploring Operation: 67+4=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
60,
45,
70,
44
] | 37 | [
"45*44=1980",
"1980/60=33",
"70-33=37"
] | Current State: 37:[60, 45, 70, 44], Operations: []
Exploring Operation: 45*44=1980, Resulting Numbers: [60, 70, 1980]
Generated Node #2: [60, 70, 1980] from Operation: 45*44=1980
Current State: 37:[60, 70, 1980], Operations: ['45*44=1980']
Exploring Operation: 1980/60=33, Resulting Numbers: [70, 33]
Generated Node #3: [70, 33] from Operation: 1980/60=33
Current State: 37:[70, 33], Operations: ['45*44=1980', '1980/60=33']
Exploring Operation: 70-33=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
49,
47,
39,
75
] | 38 | [
"49-47=2",
"75-39=36",
"2+36=38"
] | Current State: 38:[49, 47, 39, 75], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [39, 75, 2]
Generated Node #2: [39, 75, 2] from Operation: 49-47=2
Current State: 38:[39, 75, 2], Operations: ['49-47=2']
Exploring Operation: 75-39=36, Resulting Numbers: [2, 36]
Generated Node #3: [2, 36] from Operation: 75-39=36
Current State: 38:[2, 36], Operations: ['49-47=2', '75-39=36']
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
1,
77,
3,
91
] | 42 | [
"1*77=77",
"91-77=14",
"3*14=42"
] | Current State: 42:[1, 77, 3, 91], Operations: []
Exploring Operation: 1*77=77, Resulting Numbers: [3, 91, 77]
Generated Node #2: [3, 91, 77] from Operation: 1*77=77
Current State: 42:[3, 91, 77], Operations: ['1*77=77']
Exploring Operation: 91-77=14, Resulting Numbers: [3, 14]
Generated Node #3: [3, 14] from Operation: 91-77=14
Current State: 42:[3, 14], Operations: ['1*77=77', '91-77=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
43,
86,
85,
96
] | 22 | [
"86/43=2",
"96-85=11",
"2*11=22"
] | Current State: 22:[43, 86, 85, 96], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [85, 96, 2]
Generated Node #2: [85, 96, 2] from Operation: 86/43=2
Current State: 22:[85, 96, 2], Operations: ['86/43=2']
Exploring Operation: 96-85=11, Resulting Numbers: [2, 11]
Generated Node #3: [2, 11] from Operation: 96-85=11
Current State: 22:[2, 11], Operations: ['86/43=2', '96-85=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
84,
97,
45,
47
] | 79 | [
"97-84=13",
"45+47=92",
"92-13=79"
] | Current State: 79:[84, 97, 45, 47], Operations: []
Exploring Operation: 97-84=13, Resulting Numbers: [45, 47, 13]
Generated Node #2: [45, 47, 13] from Operation: 97-84=13
Current State: 79:[45, 47, 13], Operations: ['97-84=13']
Exploring Operation: 45+47=92, Resulting Numbers: [13, 92]
Generated Node #3: [13, 92] from Operation: 45+47=92
Current State: 79:[13, 92], Operations: ['97-84=13', '45+47=92']
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
41,
46,
47,
91
] | 39 | [
"46-41=5",
"91-47=44",
"44-5=39"
] | Current State: 39:[41, 46, 47, 91], Operations: []
Exploring Operation: 46-41=5, Resulting Numbers: [47, 91, 5]
Generated Node #2: [47, 91, 5] from Operation: 46-41=5
Current State: 39:[47, 91, 5], Operations: ['46-41=5']
Exploring Operation: 91-47=44, Resulting Numbers: [5, 44]
Generated Node #3: [5, 44] from Operation: 91-47=44
Current State: 39:[5, 44], Operations: ['46-41=5', '91-47=44']
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
26,
15,
24,
91
] | 26 | [
"26+15=41",
"91-24=67",
"67-41=26"
] | Current State: 26:[26, 15, 24, 91], Operations: []
Exploring Operation: 26+15=41, Resulting Numbers: [24, 91, 41]
Generated Node #2: [24, 91, 41] from Operation: 26+15=41
Current State: 26:[24, 91, 41], Operations: ['26+15=41']
Exploring Operation: 91-24=67, Resulting Numbers: [41, 67]
Generated Node #3: [41, 67] from Operation: 91-24=67
Current State: 26:[41, 67], Operations: ['26+15=41', '91-24=67']
Exploring Operation: 67-41=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
67,
30,
2,
16
] | 67 | [
"30/2=15",
"16-15=1",
"67*1=67"
] | Current State: 67:[67, 30, 2, 16], Operations: []
Exploring Operation: 30/2=15, Resulting Numbers: [67, 16, 15]
Generated Node #2: [67, 16, 15] from Operation: 30/2=15
Current State: 67:[67, 16, 15], Operations: ['30/2=15']
Exploring Operation: 16-15=1, Resulting Numbers: [67, 1]
Generated Node #3: [67, 1] from Operation: 16-15=1
Current State: 67:[67, 1], Operations: ['30/2=15', '16-15=1']
Exploring Operation: 67*1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
4,
88,
39,
80
] | 81 | [
"88+80=168",
"168/4=42",
"39+42=81"
] | Current State: 81:[4, 88, 39, 80], Operations: []
Exploring Operation: 88+80=168, Resulting Numbers: [4, 39, 168]
Generated Node #2: [4, 39, 168] from Operation: 88+80=168
Current State: 81:[4, 39, 168], Operations: ['88+80=168']
Exploring Operation: 168/4=42, Resulting Numbers: [39, 42]
Generated Node #3: [39, 42] from Operation: 168/4=42
Current State: 81:[39, 42], Operations: ['88+80=168', '168/4=42']
Exploring Operation: 39+42=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
97,
74,
74,
27
] | 69 | [
"97-27=70",
"74/74=1",
"70-1=69"
] | Current State: 69:[97, 74, 74, 27], Operations: []
Exploring Operation: 97-27=70, Resulting Numbers: [74, 74, 70]
Generated Node #2: [74, 74, 70] from Operation: 97-27=70
Current State: 69:[74, 74, 70], Operations: ['97-27=70']
Exploring Operation: 74/74=1, Resulting Numbers: [70, 1]
Generated Node #3: [70, 1] from Operation: 74/74=1
Current State: 69:[70, 1], Operations: ['97-27=70', '74/74=1']
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
82,
26,
30,
12
] | 24 | [
"82-30=52",
"52/26=2",
"12*2=24"
] | Current State: 24:[82, 26, 30, 12], Operations: []
Exploring Operation: 82-30=52, Resulting Numbers: [26, 12, 52]
Generated Node #2: [26, 12, 52] from Operation: 82-30=52
Current State: 24:[26, 12, 52], Operations: ['82-30=52']
Exploring Operation: 52/26=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 52/26=2
Current State: 24:[12, 2], Operations: ['82-30=52', '52/26=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
73,
93,
78,
5
] | 22 | [
"93-73=20",
"5*20=100",
"100-78=22"
] | Current State: 22:[73, 93, 78, 5], Operations: []
Exploring Operation: 93-73=20, Resulting Numbers: [78, 5, 20]
Generated Node #2: [78, 5, 20] from Operation: 93-73=20
Current State: 22:[78, 5, 20], Operations: ['93-73=20']
Exploring Operation: 5*20=100, Resulting Numbers: [78, 100]
Generated Node #3: [78, 100] from Operation: 5*20=100
Current State: 22:[78, 100], Operations: ['93-73=20', '5*20=100']
Exploring Operation: 100-78=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
8,
1,
97,
82
] | 22 | [
"8-1=7",
"97-82=15",
"7+15=22"
] | Current State: 22:[8, 1, 97, 82], Operations: []
Exploring Operation: 8-1=7, Resulting Numbers: [97, 82, 7]
Generated Node #2: [97, 82, 7] from Operation: 8-1=7
Current State: 22:[97, 82, 7], Operations: ['8-1=7']
Exploring Operation: 97-82=15, Resulting Numbers: [7, 15]
Generated Node #3: [7, 15] from Operation: 97-82=15
Current State: 22:[7, 15], Operations: ['8-1=7', '97-82=15']
Exploring Operation: 7+15=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
13,
54,
81,
2
] | 14 | [
"13+81=94",
"54*2=108",
"108-94=14"
] | Current State: 14:[13, 54, 81, 2], Operations: []
Exploring Operation: 13+81=94, Resulting Numbers: [54, 2, 94]
Generated Node #2: [54, 2, 94] from Operation: 13+81=94
Current State: 14:[54, 2, 94], Operations: ['13+81=94']
Exploring Operation: 54*2=108, Resulting Numbers: [94, 108]
Generated Node #3: [94, 108] from Operation: 54*2=108
Current State: 14:[94, 108], Operations: ['13+81=94', '54*2=108']
Exploring Operation: 108-94=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
32,
34,
8,
53
] | 69 | [
"34-32=2",
"8*2=16",
"53+16=69"
] | Current State: 69:[32, 34, 8, 53], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [8, 53, 2]
Generated Node #2: [8, 53, 2] from Operation: 34-32=2
Current State: 69:[8, 53, 2], Operations: ['34-32=2']
Exploring Operation: 8*2=16, Resulting Numbers: [53, 16]
Generated Node #3: [53, 16] from Operation: 8*2=16
Current State: 69:[53, 16], Operations: ['34-32=2', '8*2=16']
Exploring Operation: 53+16=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
49,
10,
77,
34
] | 28 | [
"10+34=44",
"49*44=2156",
"2156/77=28"
] | Current State: 28:[49, 10, 77, 34], Operations: []
Exploring Operation: 10+34=44, Resulting Numbers: [49, 77, 44]
Generated Node #2: [49, 77, 44] from Operation: 10+34=44
Current State: 28:[49, 77, 44], Operations: ['10+34=44']
Exploring Operation: 49*44=2156, Resulting Numbers: [77, 2156]
Generated Node #3: [77, 2156] from Operation: 49*44=2156
Current State: 28:[77, 2156], Operations: ['10+34=44', '49*44=2156']
Exploring Operation: 2156/77=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
39,
1,
27,
24
] | 14 | [
"27-24=3",
"39/3=13",
"1+13=14"
] | Current State: 14:[39, 1, 27, 24], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [39, 1, 3]
Generated Node #2: [39, 1, 3] from Operation: 27-24=3
Current State: 14:[39, 1, 3], Operations: ['27-24=3']
Exploring Operation: 39/3=13, Resulting Numbers: [1, 13]
Generated Node #3: [1, 13] from Operation: 39/3=13
Current State: 14:[1, 13], Operations: ['27-24=3', '39/3=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
97,
90,
81,
45
] | 92 | [
"90-81=9",
"45/9=5",
"97-5=92"
] | Current State: 92:[97, 90, 81, 45], Operations: []
Exploring Operation: 90-81=9, Resulting Numbers: [97, 45, 9]
Generated Node #2: [97, 45, 9] from Operation: 90-81=9
Current State: 92:[97, 45, 9], Operations: ['90-81=9']
Exploring Operation: 45/9=5, Resulting Numbers: [97, 5]
Generated Node #3: [97, 5] from Operation: 45/9=5
Current State: 92:[97, 5], Operations: ['90-81=9', '45/9=5']
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
7,
41,
6,
15
] | 16 | [
"7*6=42",
"41-15=26",
"42-26=16"
] | Current State: 16:[7, 41, 6, 15], Operations: []
Exploring Operation: 7*6=42, Resulting Numbers: [41, 15, 42]
Generated Node #2: [41, 15, 42] from Operation: 7*6=42
Current State: 16:[41, 15, 42], Operations: ['7*6=42']
Exploring Operation: 41-15=26, Resulting Numbers: [42, 26]
Generated Node #3: [42, 26] from Operation: 41-15=26
Current State: 16:[42, 26], Operations: ['7*6=42', '41-15=26']
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
9,
79,
69,
12
] | 98 | [
"9*12=108",
"79-69=10",
"108-10=98"
] | Current State: 98:[9, 79, 69, 12], Operations: []
Exploring Operation: 9*12=108, Resulting Numbers: [79, 69, 108]
Generated Node #2: [79, 69, 108] from Operation: 9*12=108
Current State: 98:[79, 69, 108], Operations: ['9*12=108']
Exploring Operation: 79-69=10, Resulting Numbers: [108, 10]
Generated Node #3: [108, 10] from Operation: 79-69=10
Current State: 98:[108, 10], Operations: ['9*12=108', '79-69=10']
Exploring Operation: 108-10=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
26,
35,
78,
29
] | 52 | [
"78/26=3",
"29*3=87",
"87-35=52"
] | Current State: 52:[26, 35, 78, 29], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [35, 29, 3]
Generated Node #2: [35, 29, 3] from Operation: 78/26=3
Current State: 52:[35, 29, 3], Operations: ['78/26=3']
Exploring Operation: 29*3=87, Resulting Numbers: [35, 87]
Generated Node #3: [35, 87] from Operation: 29*3=87
Current State: 52:[35, 87], Operations: ['78/26=3', '29*3=87']
Exploring Operation: 87-35=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
60,
79,
80,
36
] | 97 | [
"79-60=19",
"80+36=116",
"116-19=97"
] | Current State: 97:[60, 79, 80, 36], Operations: []
Exploring Operation: 79-60=19, Resulting Numbers: [80, 36, 19]
Generated Node #2: [80, 36, 19] from Operation: 79-60=19
Current State: 97:[80, 36, 19], Operations: ['79-60=19']
Exploring Operation: 80+36=116, Resulting Numbers: [19, 116]
Generated Node #3: [19, 116] from Operation: 80+36=116
Current State: 97:[19, 116], Operations: ['79-60=19', '80+36=116']
Exploring Operation: 116-19=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
92,
75,
37,
2
] | 22 | [
"92-75=17",
"37+2=39",
"39-17=22"
] | Current State: 22:[92, 75, 37, 2], Operations: []
Exploring Operation: 92-75=17, Resulting Numbers: [37, 2, 17]
Generated Node #2: [37, 2, 17] from Operation: 92-75=17
Current State: 22:[37, 2, 17], Operations: ['92-75=17']
Exploring Operation: 37+2=39, Resulting Numbers: [17, 39]
Generated Node #3: [17, 39] from Operation: 37+2=39
Current State: 22:[17, 39], Operations: ['92-75=17', '37+2=39']
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
68,
73,
47,
2
] | 89 | [
"73-68=5",
"47*2=94",
"94-5=89"
] | Current State: 89:[68, 73, 47, 2], Operations: []
Exploring Operation: 73-68=5, Resulting Numbers: [47, 2, 5]
Generated Node #2: [47, 2, 5] from Operation: 73-68=5
Current State: 89:[47, 2, 5], Operations: ['73-68=5']
Exploring Operation: 47*2=94, Resulting Numbers: [5, 94]
Generated Node #3: [5, 94] from Operation: 47*2=94
Current State: 89:[5, 94], Operations: ['73-68=5', '47*2=94']
Exploring Operation: 94-5=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
70,
97,
3,
92
] | 78 | [
"70+97=167",
"92-3=89",
"167-89=78"
] | Current State: 78:[70, 97, 3, 92], Operations: []
Exploring Operation: 70+97=167, Resulting Numbers: [3, 92, 167]
Generated Node #2: [3, 92, 167] from Operation: 70+97=167
Current State: 78:[3, 92, 167], Operations: ['70+97=167']
Exploring Operation: 92-3=89, Resulting Numbers: [167, 89]
Generated Node #3: [167, 89] from Operation: 92-3=89
Current State: 78:[167, 89], Operations: ['70+97=167', '92-3=89']
Exploring Operation: 167-89=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
10,
3,
22,
60
] | 48 | [
"60/10=6",
"22-6=16",
"3*16=48"
] | Current State: 48:[10, 3, 22, 60], Operations: []
Exploring Operation: 60/10=6, Resulting Numbers: [3, 22, 6]
Generated Node #2: [3, 22, 6] from Operation: 60/10=6
Current State: 48:[3, 22, 6], Operations: ['60/10=6']
Exploring Operation: 22-6=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 22-6=16
Current State: 48:[3, 16], Operations: ['60/10=6', '22-6=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
49,
62,
47,
87
] | 23 | [
"49+62=111",
"47+87=134",
"134-111=23"
] | Current State: 23:[49, 62, 47, 87], Operations: []
Exploring Operation: 49+62=111, Resulting Numbers: [47, 87, 111]
Generated Node #2: [47, 87, 111] from Operation: 49+62=111
Current State: 23:[47, 87, 111], Operations: ['49+62=111']
Exploring Operation: 47+87=134, Resulting Numbers: [111, 134]
Generated Node #3: [111, 134] from Operation: 47+87=134
Current State: 23:[111, 134], Operations: ['49+62=111', '47+87=134']
Exploring Operation: 134-111=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
73,
77,
80,
79
] | 18 | [
"79-73=6",
"80-77=3",
"6*3=18"
] | Current State: 18:[73, 77, 80, 79], Operations: []
Exploring Operation: 79-73=6, Resulting Numbers: [77, 80, 6]
Generated Node #2: [77, 80, 6] from Operation: 79-73=6
Current State: 18:[77, 80, 6], Operations: ['79-73=6']
Exploring Operation: 80-77=3, Resulting Numbers: [6, 3]
Generated Node #3: [6, 3] from Operation: 80-77=3
Current State: 18:[6, 3], Operations: ['79-73=6', '80-77=3']
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
55,
18,
70,
66
] | 85 | [
"55*18=990",
"990/66=15",
"70+15=85"
] | Current State: 85:[55, 18, 70, 66], Operations: []
Exploring Operation: 55*18=990, Resulting Numbers: [70, 66, 990]
Generated Node #2: [70, 66, 990] from Operation: 55*18=990
Current State: 85:[70, 66, 990], Operations: ['55*18=990']
Exploring Operation: 990/66=15, Resulting Numbers: [70, 15]
Generated Node #3: [70, 15] from Operation: 990/66=15
Current State: 85:[70, 15], Operations: ['55*18=990', '990/66=15']
Exploring Operation: 70+15=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
40,
27,
5,
50
] | 29 | [
"50-40=10",
"10/5=2",
"27+2=29"
] | Current State: 29:[40, 27, 5, 50], Operations: []
Exploring Operation: 50-40=10, Resulting Numbers: [27, 5, 10]
Generated Node #2: [27, 5, 10] from Operation: 50-40=10
Current State: 29:[27, 5, 10], Operations: ['50-40=10']
Exploring Operation: 10/5=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 10/5=2
Current State: 29:[27, 2], Operations: ['50-40=10', '10/5=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
37,
35,
61,
43
] | 36 | [
"37-35=2",
"61-43=18",
"2*18=36"
] | Current State: 36:[37, 35, 61, 43], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [61, 43, 2]
Generated Node #2: [61, 43, 2] from Operation: 37-35=2
Current State: 36:[61, 43, 2], Operations: ['37-35=2']
Exploring Operation: 61-43=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 61-43=18
Current State: 36:[2, 18], Operations: ['37-35=2', '61-43=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
50,
15,
75,
64
] | 74 | [
"50+15=65",
"75+64=139",
"139-65=74"
] | Current State: 74:[50, 15, 75, 64], Operations: []
Exploring Operation: 50+15=65, Resulting Numbers: [75, 64, 65]
Generated Node #2: [75, 64, 65] from Operation: 50+15=65
Current State: 74:[75, 64, 65], Operations: ['50+15=65']
Exploring Operation: 75+64=139, Resulting Numbers: [65, 139]
Generated Node #3: [65, 139] from Operation: 75+64=139
Current State: 74:[65, 139], Operations: ['50+15=65', '75+64=139']
Exploring Operation: 139-65=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
4,
84,
34,
38
] | 14 | [
"4*34=136",
"84+38=122",
"136-122=14"
] | Current State: 14:[4, 84, 34, 38], Operations: []
Exploring Operation: 4*34=136, Resulting Numbers: [84, 38, 136]
Generated Node #2: [84, 38, 136] from Operation: 4*34=136
Current State: 14:[84, 38, 136], Operations: ['4*34=136']
Exploring Operation: 84+38=122, Resulting Numbers: [136, 122]
Generated Node #3: [136, 122] from Operation: 84+38=122
Current State: 14:[136, 122], Operations: ['4*34=136', '84+38=122']
Exploring Operation: 136-122=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
49,
15,
76,
8
] | 84 | [
"49+15=64",
"64/8=8",
"76+8=84"
] | Current State: 84:[49, 15, 76, 8], Operations: []
Exploring Operation: 49+15=64, Resulting Numbers: [76, 8, 64]
Generated Node #2: [76, 8, 64] from Operation: 49+15=64
Current State: 84:[76, 8, 64], Operations: ['49+15=64']
Exploring Operation: 64/8=8, Resulting Numbers: [76, 8]
Generated Node #3: [76, 8] from Operation: 64/8=8
Current State: 84:[76, 8], Operations: ['49+15=64', '64/8=8']
Exploring Operation: 76+8=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
18,
51,
12,
2
] | 55 | [
"18+51=69",
"12+2=14",
"69-14=55"
] | Current State: 55:[18, 51, 12, 2], Operations: []
Exploring Operation: 18+51=69, Resulting Numbers: [12, 2, 69]
Generated Node #2: [12, 2, 69] from Operation: 18+51=69
Current State: 55:[12, 2, 69], Operations: ['18+51=69']
Exploring Operation: 12+2=14, Resulting Numbers: [69, 14]
Generated Node #3: [69, 14] from Operation: 12+2=14
Current State: 55:[69, 14], Operations: ['18+51=69', '12+2=14']
Exploring Operation: 69-14=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
87,
84,
71,
42
] | 57 | [
"87-84=3",
"42/3=14",
"71-14=57"
] | Current State: 57:[87, 84, 71, 42], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [71, 42, 3]
Generated Node #2: [71, 42, 3] from Operation: 87-84=3
Current State: 57:[71, 42, 3], Operations: ['87-84=3']
Exploring Operation: 42/3=14, Resulting Numbers: [71, 14]
Generated Node #3: [71, 14] from Operation: 42/3=14
Current State: 57:[71, 14], Operations: ['87-84=3', '42/3=14']
Exploring Operation: 71-14=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
69,
91,
34,
39
] | 95 | [
"91-69=22",
"34+39=73",
"22+73=95"
] | Current State: 95:[69, 91, 34, 39], Operations: []
Exploring Operation: 91-69=22, Resulting Numbers: [34, 39, 22]
Generated Node #2: [34, 39, 22] from Operation: 91-69=22
Current State: 95:[34, 39, 22], Operations: ['91-69=22']
Exploring Operation: 34+39=73, Resulting Numbers: [22, 73]
Generated Node #3: [22, 73] from Operation: 34+39=73
Current State: 95:[22, 73], Operations: ['91-69=22', '34+39=73']
Exploring Operation: 22+73=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
56,
87,
7,
17
] | 98 | [
"87-56=31",
"31-17=14",
"7*14=98"
] | Current State: 98:[56, 87, 7, 17], Operations: []
Exploring Operation: 87-56=31, Resulting Numbers: [7, 17, 31]
Generated Node #2: [7, 17, 31] from Operation: 87-56=31
Current State: 98:[7, 17, 31], Operations: ['87-56=31']
Exploring Operation: 31-17=14, Resulting Numbers: [7, 14]
Generated Node #3: [7, 14] from Operation: 31-17=14
Current State: 98:[7, 14], Operations: ['87-56=31', '31-17=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
4,
90,
76,
37
] | 66 | [
"76-37=39",
"4*39=156",
"156-90=66"
] | Current State: 66:[4, 90, 76, 37], Operations: []
Exploring Operation: 76-37=39, Resulting Numbers: [4, 90, 39]
Generated Node #2: [4, 90, 39] from Operation: 76-37=39
Current State: 66:[4, 90, 39], Operations: ['76-37=39']
Exploring Operation: 4*39=156, Resulting Numbers: [90, 156]
Generated Node #3: [90, 156] from Operation: 4*39=156
Current State: 66:[90, 156], Operations: ['76-37=39', '4*39=156']
Exploring Operation: 156-90=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
22,
8,
2,
34
] | 66 | [
"22+8=30",
"2+34=36",
"30+36=66"
] | Current State: 66:[22, 8, 2, 34], Operations: []
Exploring Operation: 22+8=30, Resulting Numbers: [2, 34, 30]
Generated Node #2: [2, 34, 30] from Operation: 22+8=30
Current State: 66:[2, 34, 30], Operations: ['22+8=30']
Exploring Operation: 2+34=36, Resulting Numbers: [30, 36]
Generated Node #3: [30, 36] from Operation: 2+34=36
Current State: 66:[30, 36], Operations: ['22+8=30', '2+34=36']
Exploring Operation: 30+36=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
24,
51,
82,
55
] | 14 | [
"55-51=4",
"24*4=96",
"96-82=14"
] | Current State: 14:[24, 51, 82, 55], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [24, 82, 4]
Generated Node #2: [24, 82, 4] from Operation: 55-51=4
Current State: 14:[24, 82, 4], Operations: ['55-51=4']
Exploring Operation: 24*4=96, Resulting Numbers: [82, 96]
Generated Node #3: [82, 96] from Operation: 24*4=96
Current State: 14:[82, 96], Operations: ['55-51=4', '24*4=96']
Exploring Operation: 96-82=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
96,
14,
85,
68
] | 65 | [
"96-14=82",
"85-68=17",
"82-17=65"
] | Current State: 65:[96, 14, 85, 68], Operations: []
Exploring Operation: 96-14=82, Resulting Numbers: [85, 68, 82]
Generated Node #2: [85, 68, 82] from Operation: 96-14=82
Current State: 65:[85, 68, 82], Operations: ['96-14=82']
Exploring Operation: 85-68=17, Resulting Numbers: [82, 17]
Generated Node #3: [82, 17] from Operation: 85-68=17
Current State: 65:[82, 17], Operations: ['96-14=82', '85-68=17']
Exploring Operation: 82-17=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
83,
93,
56,
91
] | 45 | [
"93-83=10",
"91-56=35",
"10+35=45"
] | Current State: 45:[83, 93, 56, 91], Operations: []
Exploring Operation: 93-83=10, Resulting Numbers: [56, 91, 10]
Generated Node #2: [56, 91, 10] from Operation: 93-83=10
Current State: 45:[56, 91, 10], Operations: ['93-83=10']
Exploring Operation: 91-56=35, Resulting Numbers: [10, 35]
Generated Node #3: [10, 35] from Operation: 91-56=35
Current State: 45:[10, 35], Operations: ['93-83=10', '91-56=35']
Exploring Operation: 10+35=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
96,
16,
21,
12
] | 13 | [
"96/12=8",
"21-16=5",
"8+5=13"
] | Current State: 13:[96, 16, 21, 12], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [16, 21, 8]
Generated Node #2: [16, 21, 8] from Operation: 96/12=8
Current State: 13:[16, 21, 8], Operations: ['96/12=8']
Exploring Operation: 21-16=5, Resulting Numbers: [8, 5]
Generated Node #3: [8, 5] from Operation: 21-16=5
Current State: 13:[8, 5], Operations: ['96/12=8', '21-16=5']
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
26,
13,
91,
53
] | 23 | [
"13*53=689",
"689-91=598",
"598/26=23"
] | Current State: 23:[26, 13, 91, 53], Operations: []
Exploring Operation: 13*53=689, Resulting Numbers: [26, 91, 689]
Generated Node #2: [26, 91, 689] from Operation: 13*53=689
Current State: 23:[26, 91, 689], Operations: ['13*53=689']
Exploring Operation: 689-91=598, Resulting Numbers: [26, 598]
Generated Node #3: [26, 598] from Operation: 689-91=598
Current State: 23:[26, 598], Operations: ['13*53=689', '689-91=598']
Exploring Operation: 598/26=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
96,
62,
57,
66
] | 35 | [
"96+62=158",
"57+66=123",
"158-123=35"
] | Current State: 35:[96, 62, 57, 66], Operations: []
Exploring Operation: 96+62=158, Resulting Numbers: [57, 66, 158]
Generated Node #2: [57, 66, 158] from Operation: 96+62=158
Current State: 35:[57, 66, 158], Operations: ['96+62=158']
Exploring Operation: 57+66=123, Resulting Numbers: [158, 123]
Generated Node #3: [158, 123] from Operation: 57+66=123
Current State: 35:[158, 123], Operations: ['96+62=158', '57+66=123']
Exploring Operation: 158-123=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
66,
2,
81,
49
] | 49 | [
"66+81=147",
"2*49=98",
"147-98=49"
] | Current State: 49:[66, 2, 81, 49], Operations: []
Exploring Operation: 66+81=147, Resulting Numbers: [2, 49, 147]
Generated Node #2: [2, 49, 147] from Operation: 66+81=147
Current State: 49:[2, 49, 147], Operations: ['66+81=147']
Exploring Operation: 2*49=98, Resulting Numbers: [147, 98]
Generated Node #3: [147, 98] from Operation: 2*49=98
Current State: 49:[147, 98], Operations: ['66+81=147', '2*49=98']
Exploring Operation: 147-98=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
46,
41,
93,
45
] | 38 | [
"93+45=138",
"138/46=3",
"41-3=38"
] | Current State: 38:[46, 41, 93, 45], Operations: []
Exploring Operation: 93+45=138, Resulting Numbers: [46, 41, 138]
Generated Node #2: [46, 41, 138] from Operation: 93+45=138
Current State: 38:[46, 41, 138], Operations: ['93+45=138']
Exploring Operation: 138/46=3, Resulting Numbers: [41, 3]
Generated Node #3: [41, 3] from Operation: 138/46=3
Current State: 38:[41, 3], Operations: ['93+45=138', '138/46=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
78,
25,
84,
84
] | 52 | [
"78-25=53",
"84/84=1",
"53-1=52"
] | Current State: 52:[78, 25, 84, 84], Operations: []
Exploring Operation: 78-25=53, Resulting Numbers: [84, 84, 53]
Generated Node #2: [84, 84, 53] from Operation: 78-25=53
Current State: 52:[84, 84, 53], Operations: ['78-25=53']
Exploring Operation: 84/84=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 84/84=1
Current State: 52:[53, 1], Operations: ['78-25=53', '84/84=1']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
69,
24,
35,
26
] | 52 | [
"69+35=104",
"26-24=2",
"104/2=52"
] | Current State: 52:[69, 24, 35, 26], Operations: []
Exploring Operation: 69+35=104, Resulting Numbers: [24, 26, 104]
Generated Node #2: [24, 26, 104] from Operation: 69+35=104
Current State: 52:[24, 26, 104], Operations: ['69+35=104']
Exploring Operation: 26-24=2, Resulting Numbers: [104, 2]
Generated Node #3: [104, 2] from Operation: 26-24=2
Current State: 52:[104, 2], Operations: ['69+35=104', '26-24=2']
Exploring Operation: 104/2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
3,
84,
8,
28
] | 28 | [
"3*84=252",
"8*28=224",
"252-224=28"
] | Current State: 28:[3, 84, 8, 28], Operations: []
Exploring Operation: 3*84=252, Resulting Numbers: [8, 28, 252]
Generated Node #2: [8, 28, 252] from Operation: 3*84=252
Current State: 28:[8, 28, 252], Operations: ['3*84=252']
Exploring Operation: 8*28=224, Resulting Numbers: [252, 224]
Generated Node #3: [252, 224] from Operation: 8*28=224
Current State: 28:[252, 224], Operations: ['3*84=252', '8*28=224']
Exploring Operation: 252-224=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
9,
19,
93,
56
] | 27 | [
"19-9=10",
"93-56=37",
"37-10=27"
] | Current State: 27:[9, 19, 93, 56], Operations: []
Exploring Operation: 19-9=10, Resulting Numbers: [93, 56, 10]
Generated Node #2: [93, 56, 10] from Operation: 19-9=10
Current State: 27:[93, 56, 10], Operations: ['19-9=10']
Exploring Operation: 93-56=37, Resulting Numbers: [10, 37]
Generated Node #3: [10, 37] from Operation: 93-56=37
Current State: 27:[10, 37], Operations: ['19-9=10', '93-56=37']
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
91,
81,
2,
22
] | 21 | [
"91-81=10",
"22/2=11",
"10+11=21"
] | Current State: 21:[91, 81, 2, 22], Operations: []
Exploring Operation: 91-81=10, Resulting Numbers: [2, 22, 10]
Generated Node #2: [2, 22, 10] from Operation: 91-81=10
Current State: 21:[2, 22, 10], Operations: ['91-81=10']
Exploring Operation: 22/2=11, Resulting Numbers: [10, 11]
Generated Node #3: [10, 11] from Operation: 22/2=11
Current State: 21:[10, 11], Operations: ['91-81=10', '22/2=11']
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
27,
49,
30,
69
] | 78 | [
"30-27=3",
"49*3=147",
"147-69=78"
] | Current State: 78:[27, 49, 30, 69], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [49, 69, 3]
Generated Node #2: [49, 69, 3] from Operation: 30-27=3
Current State: 78:[49, 69, 3], Operations: ['30-27=3']
Exploring Operation: 49*3=147, Resulting Numbers: [69, 147]
Generated Node #3: [69, 147] from Operation: 49*3=147
Current State: 78:[69, 147], Operations: ['30-27=3', '49*3=147']
Exploring Operation: 147-69=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
95,
76,
96,
50
] | 70 | [
"95*96=9120",
"9120/76=120",
"120-50=70"
] | Current State: 70:[95, 76, 96, 50], Operations: []
Exploring Operation: 95*96=9120, Resulting Numbers: [76, 50, 9120]
Generated Node #2: [76, 50, 9120] from Operation: 95*96=9120
Current State: 70:[76, 50, 9120], Operations: ['95*96=9120']
Exploring Operation: 9120/76=120, Resulting Numbers: [50, 120]
Generated Node #3: [50, 120] from Operation: 9120/76=120
Current State: 70:[50, 120], Operations: ['95*96=9120', '9120/76=120']
Exploring Operation: 120-50=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
15,
88,
40,
60
] | 83 | [
"15+88=103",
"60-40=20",
"103-20=83"
] | Current State: 83:[15, 88, 40, 60], Operations: []
Exploring Operation: 15+88=103, Resulting Numbers: [40, 60, 103]
Generated Node #2: [40, 60, 103] from Operation: 15+88=103
Current State: 83:[40, 60, 103], Operations: ['15+88=103']
Exploring Operation: 60-40=20, Resulting Numbers: [103, 20]
Generated Node #3: [103, 20] from Operation: 60-40=20
Current State: 83:[103, 20], Operations: ['15+88=103', '60-40=20']
Exploring Operation: 103-20=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
4,
54,
10,
64
] | 60 | [
"4+54=58",
"64-58=6",
"10*6=60"
] | Current State: 60:[4, 54, 10, 64], Operations: []
Exploring Operation: 4+54=58, Resulting Numbers: [10, 64, 58]
Generated Node #2: [10, 64, 58] from Operation: 4+54=58
Current State: 60:[10, 64, 58], Operations: ['4+54=58']
Exploring Operation: 64-58=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 64-58=6
Current State: 60:[10, 6], Operations: ['4+54=58', '64-58=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
79,
8,
6,
8
] | 17 | [
"8+8=16",
"6*16=96",
"96-79=17"
] | Current State: 17:[79, 8, 6, 8], Operations: []
Exploring Operation: 8+8=16, Resulting Numbers: [79, 6, 16]
Generated Node #2: [79, 6, 16] from Operation: 8+8=16
Current State: 17:[79, 6, 16], Operations: ['8+8=16']
Exploring Operation: 6*16=96, Resulting Numbers: [79, 96]
Generated Node #3: [79, 96] from Operation: 6*16=96
Current State: 17:[79, 96], Operations: ['8+8=16', '6*16=96']
Exploring Operation: 96-79=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
51,
29,
93,
75
] | 40 | [
"51-29=22",
"93-75=18",
"22+18=40"
] | Current State: 40:[51, 29, 93, 75], Operations: []
Exploring Operation: 51-29=22, Resulting Numbers: [93, 75, 22]
Generated Node #2: [93, 75, 22] from Operation: 51-29=22
Current State: 40:[93, 75, 22], Operations: ['51-29=22']
Exploring Operation: 93-75=18, Resulting Numbers: [22, 18]
Generated Node #3: [22, 18] from Operation: 93-75=18
Current State: 40:[22, 18], Operations: ['51-29=22', '93-75=18']
Exploring Operation: 22+18=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
12,
85,
80,
75
] | 25 | [
"80-75=5",
"12*5=60",
"85-60=25"
] | Current State: 25:[12, 85, 80, 75], Operations: []
Exploring Operation: 80-75=5, Resulting Numbers: [12, 85, 5]
Generated Node #2: [12, 85, 5] from Operation: 80-75=5
Current State: 25:[12, 85, 5], Operations: ['80-75=5']
Exploring Operation: 12*5=60, Resulting Numbers: [85, 60]
Generated Node #3: [85, 60] from Operation: 12*5=60
Current State: 25:[85, 60], Operations: ['80-75=5', '12*5=60']
Exploring Operation: 85-60=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
45,
52,
92,
41
] | 46 | [
"45+52=97",
"92-41=51",
"97-51=46"
] | Current State: 46:[45, 52, 92, 41], Operations: []
Exploring Operation: 45+52=97, Resulting Numbers: [92, 41, 97]
Generated Node #2: [92, 41, 97] from Operation: 45+52=97
Current State: 46:[92, 41, 97], Operations: ['45+52=97']
Exploring Operation: 92-41=51, Resulting Numbers: [97, 51]
Generated Node #3: [97, 51] from Operation: 92-41=51
Current State: 46:[97, 51], Operations: ['45+52=97', '92-41=51']
Exploring Operation: 97-51=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
4,
38,
64,
2
] | 13 | [
"4-2=2",
"64-38=26",
"26/2=13"
] | Current State: 13:[4, 38, 64, 2], Operations: []
Exploring Operation: 4-2=2, Resulting Numbers: [38, 64, 2]
Generated Node #2: [38, 64, 2] from Operation: 4-2=2
Current State: 13:[38, 64, 2], Operations: ['4-2=2']
Exploring Operation: 64-38=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 64-38=26
Current State: 13:[2, 26], Operations: ['4-2=2', '64-38=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
7,
97,
28,
34
] | 97 | [
"7+28=35",
"35-34=1",
"97*1=97"
] | Current State: 97:[7, 97, 28, 34], Operations: []
Exploring Operation: 7+28=35, Resulting Numbers: [97, 34, 35]
Generated Node #2: [97, 34, 35] from Operation: 7+28=35
Current State: 97:[97, 34, 35], Operations: ['7+28=35']
Exploring Operation: 35-34=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 35-34=1
Current State: 97:[97, 1], Operations: ['7+28=35', '35-34=1']
Exploring Operation: 97*1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
65,
69,
3,
78
] | 38 | [
"78-69=9",
"3*9=27",
"65-27=38"
] | Current State: 38:[65, 69, 3, 78], Operations: []
Exploring Operation: 78-69=9, Resulting Numbers: [65, 3, 9]
Generated Node #2: [65, 3, 9] from Operation: 78-69=9
Current State: 38:[65, 3, 9], Operations: ['78-69=9']
Exploring Operation: 3*9=27, Resulting Numbers: [65, 27]
Generated Node #3: [65, 27] from Operation: 3*9=27
Current State: 38:[65, 27], Operations: ['78-69=9', '3*9=27']
Exploring Operation: 65-27=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
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