nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
33,
21,
9,
92
] | 86 | [
"33+21=54",
"54/9=6",
"92-6=86"
] | Current State: 86:[33, 21, 9, 92], Operations: []
Exploring Operation: 33+21=54, Resulting Numbers: [9, 92, 54]
Generated Node #2: [9, 92, 54] from Operation: 33+21=54
Current State: 86:[9, 92, 54], Operations: ['33+21=54']
Exploring Operation: 54/9=6, Resulting Numbers: [92, 6]
Generated Node #3: [92, 6] from Operation: 54/9=6
Current State: 86:[92, 6], Operations: ['33+21=54', '54/9=6']
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
39,
23,
41,
51
] | 35 | [
"41+51=92",
"92/23=4",
"39-4=35"
] | Current State: 35:[39, 23, 41, 51], Operations: []
Exploring Operation: 41+51=92, Resulting Numbers: [39, 23, 92]
Generated Node #2: [39, 23, 92] from Operation: 41+51=92
Current State: 35:[39, 23, 92], Operations: ['41+51=92']
Exploring Operation: 92/23=4, Resulting Numbers: [39, 4]
Generated Node #3: [39, 4] from Operation: 92/23=4
Current State: 35:[39, 4], Operations: ['41+51=92', '92/23=4']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
5,
7,
16,
70
] | 43 | [
"7-5=2",
"16+70=86",
"86/2=43"
] | Current State: 43:[5, 7, 16, 70], Operations: []
Exploring Operation: 7-5=2, Resulting Numbers: [16, 70, 2]
Generated Node #2: [16, 70, 2] from Operation: 7-5=2
Current State: 43:[16, 70, 2], Operations: ['7-5=2']
Exploring Operation: 16+70=86, Resulting Numbers: [2, 86]
Generated Node #3: [2, 86] from Operation: 16+70=86
Current State: 43:[2, 86], Operations: ['7-5=2', '16+70=86']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
14,
80,
92,
39
] | 13 | [
"80-14=66",
"92-39=53",
"66-53=13"
] | Current State: 13:[14, 80, 92, 39], Operations: []
Exploring Operation: 80-14=66, Resulting Numbers: [92, 39, 66]
Generated Node #2: [92, 39, 66] from Operation: 80-14=66
Current State: 13:[92, 39, 66], Operations: ['80-14=66']
Exploring Operation: 92-39=53, Resulting Numbers: [66, 53]
Generated Node #3: [66, 53] from Operation: 92-39=53
Current State: 13:[66, 53], Operations: ['80-14=66', '92-39=53']
Exploring Operation: 66-53=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
62,
55,
75,
64
] | 57 | [
"75-64=11",
"55/11=5",
"62-5=57"
] | Current State: 57:[62, 55, 75, 64], Operations: []
Exploring Operation: 75-64=11, Resulting Numbers: [62, 55, 11]
Generated Node #2: [62, 55, 11] from Operation: 75-64=11
Current State: 57:[62, 55, 11], Operations: ['75-64=11']
Exploring Operation: 55/11=5, Resulting Numbers: [62, 5]
Generated Node #3: [62, 5] from Operation: 55/11=5
Current State: 57:[62, 5], Operations: ['75-64=11', '55/11=5']
Exploring Operation: 62-5=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
18,
43,
73,
3
] | 45 | [
"43-18=25",
"73-3=70",
"70-25=45"
] | Current State: 45:[18, 43, 73, 3], Operations: []
Exploring Operation: 43-18=25, Resulting Numbers: [73, 3, 25]
Generated Node #2: [73, 3, 25] from Operation: 43-18=25
Current State: 45:[73, 3, 25], Operations: ['43-18=25']
Exploring Operation: 73-3=70, Resulting Numbers: [25, 70]
Generated Node #3: [25, 70] from Operation: 73-3=70
Current State: 45:[25, 70], Operations: ['43-18=25', '73-3=70']
Exploring Operation: 70-25=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
22,
59,
12,
57
] | 36 | [
"22+59=81",
"57-12=45",
"81-45=36"
] | Current State: 36:[22, 59, 12, 57], Operations: []
Exploring Operation: 22+59=81, Resulting Numbers: [12, 57, 81]
Generated Node #2: [12, 57, 81] from Operation: 22+59=81
Current State: 36:[12, 57, 81], Operations: ['22+59=81']
Exploring Operation: 57-12=45, Resulting Numbers: [81, 45]
Generated Node #3: [81, 45] from Operation: 57-12=45
Current State: 36:[81, 45], Operations: ['22+59=81', '57-12=45']
Exploring Operation: 81-45=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
22,
72,
13,
46
] | 38 | [
"22-13=9",
"72/9=8",
"46-8=38"
] | Current State: 38:[22, 72, 13, 46], Operations: []
Exploring Operation: 22-13=9, Resulting Numbers: [72, 46, 9]
Generated Node #2: [72, 46, 9] from Operation: 22-13=9
Current State: 38:[72, 46, 9], Operations: ['22-13=9']
Exploring Operation: 72/9=8, Resulting Numbers: [46, 8]
Generated Node #3: [46, 8] from Operation: 72/9=8
Current State: 38:[46, 8], Operations: ['22-13=9', '72/9=8']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
20,
4,
14,
6
] | 13 | [
"20/4=5",
"14-6=8",
"5+8=13"
] | Current State: 13:[20, 4, 14, 6], Operations: []
Exploring Operation: 20/4=5, Resulting Numbers: [14, 6, 5]
Generated Node #2: [14, 6, 5] from Operation: 20/4=5
Current State: 13:[14, 6, 5], Operations: ['20/4=5']
Exploring Operation: 14-6=8, Resulting Numbers: [5, 8]
Generated Node #3: [5, 8] from Operation: 14-6=8
Current State: 13:[5, 8], Operations: ['20/4=5', '14-6=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
2,
14,
71,
44
] | 100 | [
"14+44=58",
"58/2=29",
"71+29=100"
] | Current State: 100:[2, 14, 71, 44], Operations: []
Exploring Operation: 14+44=58, Resulting Numbers: [2, 71, 58]
Generated Node #2: [2, 71, 58] from Operation: 14+44=58
Current State: 100:[2, 71, 58], Operations: ['14+44=58']
Exploring Operation: 58/2=29, Resulting Numbers: [71, 29]
Generated Node #3: [71, 29] from Operation: 58/2=29
Current State: 100:[71, 29], Operations: ['14+44=58', '58/2=29']
Exploring Operation: 71+29=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
25,
64,
12,
11
] | 15 | [
"64+11=75",
"75/25=3",
"12+3=15"
] | Current State: 15:[25, 64, 12, 11], Operations: []
Exploring Operation: 64+11=75, Resulting Numbers: [25, 12, 75]
Generated Node #2: [25, 12, 75] from Operation: 64+11=75
Current State: 15:[25, 12, 75], Operations: ['64+11=75']
Exploring Operation: 75/25=3, Resulting Numbers: [12, 3]
Generated Node #3: [12, 3] from Operation: 75/25=3
Current State: 15:[12, 3], Operations: ['64+11=75', '75/25=3']
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
71,
43,
12,
34
] | 72 | [
"71-43=28",
"34-28=6",
"12*6=72"
] | Current State: 72:[71, 43, 12, 34], Operations: []
Exploring Operation: 71-43=28, Resulting Numbers: [12, 34, 28]
Generated Node #2: [12, 34, 28] from Operation: 71-43=28
Current State: 72:[12, 34, 28], Operations: ['71-43=28']
Exploring Operation: 34-28=6, Resulting Numbers: [12, 6]
Generated Node #3: [12, 6] from Operation: 34-28=6
Current State: 72:[12, 6], Operations: ['71-43=28', '34-28=6']
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
13,
51,
82,
40
] | 75 | [
"51+40=91",
"91/13=7",
"82-7=75"
] | Current State: 75:[13, 51, 82, 40], Operations: []
Exploring Operation: 51+40=91, Resulting Numbers: [13, 82, 91]
Generated Node #2: [13, 82, 91] from Operation: 51+40=91
Current State: 75:[13, 82, 91], Operations: ['51+40=91']
Exploring Operation: 91/13=7, Resulting Numbers: [82, 7]
Generated Node #3: [82, 7] from Operation: 91/13=7
Current State: 75:[82, 7], Operations: ['51+40=91', '91/13=7']
Exploring Operation: 82-7=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
19,
31,
41,
83
] | 47 | [
"31+83=114",
"114/19=6",
"41+6=47"
] | Current State: 47:[19, 31, 41, 83], Operations: []
Exploring Operation: 31+83=114, Resulting Numbers: [19, 41, 114]
Generated Node #2: [19, 41, 114] from Operation: 31+83=114
Current State: 47:[19, 41, 114], Operations: ['31+83=114']
Exploring Operation: 114/19=6, Resulting Numbers: [41, 6]
Generated Node #3: [41, 6] from Operation: 114/19=6
Current State: 47:[41, 6], Operations: ['31+83=114', '114/19=6']
Exploring Operation: 41+6=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
77,
57,
84,
19
] | 76 | [
"84-77=7",
"19*7=133",
"133-57=76"
] | Current State: 76:[77, 57, 84, 19], Operations: []
Exploring Operation: 84-77=7, Resulting Numbers: [57, 19, 7]
Generated Node #2: [57, 19, 7] from Operation: 84-77=7
Current State: 76:[57, 19, 7], Operations: ['84-77=7']
Exploring Operation: 19*7=133, Resulting Numbers: [57, 133]
Generated Node #3: [57, 133] from Operation: 19*7=133
Current State: 76:[57, 133], Operations: ['84-77=7', '19*7=133']
Exploring Operation: 133-57=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
90,
88,
70,
2
] | 19 | [
"90+88=178",
"178/2=89",
"89-70=19"
] | Current State: 19:[90, 88, 70, 2], Operations: []
Exploring Operation: 90+88=178, Resulting Numbers: [70, 2, 178]
Generated Node #2: [70, 2, 178] from Operation: 90+88=178
Current State: 19:[70, 2, 178], Operations: ['90+88=178']
Exploring Operation: 178/2=89, Resulting Numbers: [70, 89]
Generated Node #3: [70, 89] from Operation: 178/2=89
Current State: 19:[70, 89], Operations: ['90+88=178', '178/2=89']
Exploring Operation: 89-70=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
77,
14,
80,
67
] | 25 | [
"80-77=3",
"14*3=42",
"67-42=25"
] | Current State: 25:[77, 14, 80, 67], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [14, 67, 3]
Generated Node #2: [14, 67, 3] from Operation: 80-77=3
Current State: 25:[14, 67, 3], Operations: ['80-77=3']
Exploring Operation: 14*3=42, Resulting Numbers: [67, 42]
Generated Node #3: [67, 42] from Operation: 14*3=42
Current State: 25:[67, 42], Operations: ['80-77=3', '14*3=42']
Exploring Operation: 67-42=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
77,
36,
28,
79
] | 20 | [
"77*36=2772",
"2772/28=99",
"99-79=20"
] | Current State: 20:[77, 36, 28, 79], Operations: []
Exploring Operation: 77*36=2772, Resulting Numbers: [28, 79, 2772]
Generated Node #2: [28, 79, 2772] from Operation: 77*36=2772
Current State: 20:[28, 79, 2772], Operations: ['77*36=2772']
Exploring Operation: 2772/28=99, Resulting Numbers: [79, 99]
Generated Node #3: [79, 99] from Operation: 2772/28=99
Current State: 20:[79, 99], Operations: ['77*36=2772', '2772/28=99']
Exploring Operation: 99-79=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
35,
17,
2,
37
] | 38 | [
"35-17=18",
"37-18=19",
"2*19=38"
] | Current State: 38:[35, 17, 2, 37], Operations: []
Exploring Operation: 35-17=18, Resulting Numbers: [2, 37, 18]
Generated Node #2: [2, 37, 18] from Operation: 35-17=18
Current State: 38:[2, 37, 18], Operations: ['35-17=18']
Exploring Operation: 37-18=19, Resulting Numbers: [2, 19]
Generated Node #3: [2, 19] from Operation: 37-18=19
Current State: 38:[2, 19], Operations: ['35-17=18', '37-18=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
99,
43,
1,
5
] | 50 | [
"99-43=56",
"1+5=6",
"56-6=50"
] | Current State: 50:[99, 43, 1, 5], Operations: []
Exploring Operation: 99-43=56, Resulting Numbers: [1, 5, 56]
Generated Node #2: [1, 5, 56] from Operation: 99-43=56
Current State: 50:[1, 5, 56], Operations: ['99-43=56']
Exploring Operation: 1+5=6, Resulting Numbers: [56, 6]
Generated Node #3: [56, 6] from Operation: 1+5=6
Current State: 50:[56, 6], Operations: ['99-43=56', '1+5=6']
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
69,
30,
41,
36
] | 94 | [
"69+30=99",
"41-36=5",
"99-5=94"
] | Current State: 94:[69, 30, 41, 36], Operations: []
Exploring Operation: 69+30=99, Resulting Numbers: [41, 36, 99]
Generated Node #2: [41, 36, 99] from Operation: 69+30=99
Current State: 94:[41, 36, 99], Operations: ['69+30=99']
Exploring Operation: 41-36=5, Resulting Numbers: [99, 5]
Generated Node #3: [99, 5] from Operation: 41-36=5
Current State: 94:[99, 5], Operations: ['69+30=99', '41-36=5']
Exploring Operation: 99-5=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
26,
48,
69,
72
] | 25 | [
"48-26=22",
"72-69=3",
"22+3=25"
] | Current State: 25:[26, 48, 69, 72], Operations: []
Exploring Operation: 48-26=22, Resulting Numbers: [69, 72, 22]
Generated Node #2: [69, 72, 22] from Operation: 48-26=22
Current State: 25:[69, 72, 22], Operations: ['48-26=22']
Exploring Operation: 72-69=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 72-69=3
Current State: 25:[22, 3], Operations: ['48-26=22', '72-69=3']
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
43,
47,
10,
53
] | 48 | [
"43+10=53",
"53/53=1",
"47+1=48"
] | Current State: 48:[43, 47, 10, 53], Operations: []
Exploring Operation: 43+10=53, Resulting Numbers: [47, 53, 53]
Generated Node #2: [47, 53, 53] from Operation: 43+10=53
Current State: 48:[47, 53, 53], Operations: ['43+10=53']
Exploring Operation: 53/53=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 53/53=1
Current State: 48:[47, 1], Operations: ['43+10=53', '53/53=1']
Exploring Operation: 47+1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
58,
92,
6,
60
] | 88 | [
"92-58=34",
"60-6=54",
"34+54=88"
] | Current State: 88:[58, 92, 6, 60], Operations: []
Exploring Operation: 92-58=34, Resulting Numbers: [6, 60, 34]
Generated Node #2: [6, 60, 34] from Operation: 92-58=34
Current State: 88:[6, 60, 34], Operations: ['92-58=34']
Exploring Operation: 60-6=54, Resulting Numbers: [34, 54]
Generated Node #3: [34, 54] from Operation: 60-6=54
Current State: 88:[34, 54], Operations: ['92-58=34', '60-6=54']
Exploring Operation: 34+54=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
62,
77,
65,
51
] | 94 | [
"65-62=3",
"51/3=17",
"77+17=94"
] | Current State: 94:[62, 77, 65, 51], Operations: []
Exploring Operation: 65-62=3, Resulting Numbers: [77, 51, 3]
Generated Node #2: [77, 51, 3] from Operation: 65-62=3
Current State: 94:[77, 51, 3], Operations: ['65-62=3']
Exploring Operation: 51/3=17, Resulting Numbers: [77, 17]
Generated Node #3: [77, 17] from Operation: 51/3=17
Current State: 94:[77, 17], Operations: ['65-62=3', '51/3=17']
Exploring Operation: 77+17=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
17,
68,
51,
89
] | 54 | [
"89-17=72",
"51*72=3672",
"3672/68=54"
] | Current State: 54:[17, 68, 51, 89], Operations: []
Exploring Operation: 89-17=72, Resulting Numbers: [68, 51, 72]
Generated Node #2: [68, 51, 72] from Operation: 89-17=72
Current State: 54:[68, 51, 72], Operations: ['89-17=72']
Exploring Operation: 51*72=3672, Resulting Numbers: [68, 3672]
Generated Node #3: [68, 3672] from Operation: 51*72=3672
Current State: 54:[68, 3672], Operations: ['89-17=72', '51*72=3672']
Exploring Operation: 3672/68=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
55,
21,
11,
29
] | 76 | [
"55*21=1155",
"1155/11=105",
"105-29=76"
] | Current State: 76:[55, 21, 11, 29], Operations: []
Exploring Operation: 55*21=1155, Resulting Numbers: [11, 29, 1155]
Generated Node #2: [11, 29, 1155] from Operation: 55*21=1155
Current State: 76:[11, 29, 1155], Operations: ['55*21=1155']
Exploring Operation: 1155/11=105, Resulting Numbers: [29, 105]
Generated Node #3: [29, 105] from Operation: 1155/11=105
Current State: 76:[29, 105], Operations: ['55*21=1155', '1155/11=105']
Exploring Operation: 105-29=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
34,
31,
90,
92
] | 96 | [
"34+90=124",
"124/31=4",
"92+4=96"
] | Current State: 96:[34, 31, 90, 92], Operations: []
Exploring Operation: 34+90=124, Resulting Numbers: [31, 92, 124]
Generated Node #2: [31, 92, 124] from Operation: 34+90=124
Current State: 96:[31, 92, 124], Operations: ['34+90=124']
Exploring Operation: 124/31=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 124/31=4
Current State: 96:[92, 4], Operations: ['34+90=124', '124/31=4']
Exploring Operation: 92+4=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
2,
78,
64,
28
] | 42 | [
"2*28=56",
"78-64=14",
"56-14=42"
] | Current State: 42:[2, 78, 64, 28], Operations: []
Exploring Operation: 2*28=56, Resulting Numbers: [78, 64, 56]
Generated Node #2: [78, 64, 56] from Operation: 2*28=56
Current State: 42:[78, 64, 56], Operations: ['2*28=56']
Exploring Operation: 78-64=14, Resulting Numbers: [56, 14]
Generated Node #3: [56, 14] from Operation: 78-64=14
Current State: 42:[56, 14], Operations: ['2*28=56', '78-64=14']
Exploring Operation: 56-14=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
36,
93,
57,
15
] | 46 | [
"93+57=150",
"150/15=10",
"36+10=46"
] | Current State: 46:[36, 93, 57, 15], Operations: []
Exploring Operation: 93+57=150, Resulting Numbers: [36, 15, 150]
Generated Node #2: [36, 15, 150] from Operation: 93+57=150
Current State: 46:[36, 15, 150], Operations: ['93+57=150']
Exploring Operation: 150/15=10, Resulting Numbers: [36, 10]
Generated Node #3: [36, 10] from Operation: 150/15=10
Current State: 46:[36, 10], Operations: ['93+57=150', '150/15=10']
Exploring Operation: 36+10=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
3,
58,
32,
13
] | 43 | [
"58+32=90",
"90/3=30",
"13+30=43"
] | Current State: 43:[3, 58, 32, 13], Operations: []
Exploring Operation: 58+32=90, Resulting Numbers: [3, 13, 90]
Generated Node #2: [3, 13, 90] from Operation: 58+32=90
Current State: 43:[3, 13, 90], Operations: ['58+32=90']
Exploring Operation: 90/3=30, Resulting Numbers: [13, 30]
Generated Node #3: [13, 30] from Operation: 90/3=30
Current State: 43:[13, 30], Operations: ['58+32=90', '90/3=30']
Exploring Operation: 13+30=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
95,
63,
25,
71
] | 64 | [
"95-63=32",
"25+71=96",
"96-32=64"
] | Current State: 64:[95, 63, 25, 71], Operations: []
Exploring Operation: 95-63=32, Resulting Numbers: [25, 71, 32]
Generated Node #2: [25, 71, 32] from Operation: 95-63=32
Current State: 64:[25, 71, 32], Operations: ['95-63=32']
Exploring Operation: 25+71=96, Resulting Numbers: [32, 96]
Generated Node #3: [32, 96] from Operation: 25+71=96
Current State: 64:[32, 96], Operations: ['95-63=32', '25+71=96']
Exploring Operation: 96-32=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
5,
12,
90,
1
] | 73 | [
"5+12=17",
"90*1=90",
"90-17=73"
] | Current State: 73:[5, 12, 90, 1], Operations: []
Exploring Operation: 5+12=17, Resulting Numbers: [90, 1, 17]
Generated Node #2: [90, 1, 17] from Operation: 5+12=17
Current State: 73:[90, 1, 17], Operations: ['5+12=17']
Exploring Operation: 90*1=90, Resulting Numbers: [17, 90]
Generated Node #3: [17, 90] from Operation: 90*1=90
Current State: 73:[17, 90], Operations: ['5+12=17', '90*1=90']
Exploring Operation: 90-17=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
72,
19,
18,
4
] | 39 | [
"72-19=53",
"18-4=14",
"53-14=39"
] | Current State: 39:[72, 19, 18, 4], Operations: []
Exploring Operation: 72-19=53, Resulting Numbers: [18, 4, 53]
Generated Node #2: [18, 4, 53] from Operation: 72-19=53
Current State: 39:[18, 4, 53], Operations: ['72-19=53']
Exploring Operation: 18-4=14, Resulting Numbers: [53, 14]
Generated Node #3: [53, 14] from Operation: 18-4=14
Current State: 39:[53, 14], Operations: ['72-19=53', '18-4=14']
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
45,
58,
84,
39
] | 44 | [
"45-39=6",
"84/6=14",
"58-14=44"
] | Current State: 44:[45, 58, 84, 39], Operations: []
Exploring Operation: 45-39=6, Resulting Numbers: [58, 84, 6]
Generated Node #2: [58, 84, 6] from Operation: 45-39=6
Current State: 44:[58, 84, 6], Operations: ['45-39=6']
Exploring Operation: 84/6=14, Resulting Numbers: [58, 14]
Generated Node #3: [58, 14] from Operation: 84/6=14
Current State: 44:[58, 14], Operations: ['45-39=6', '84/6=14']
Exploring Operation: 58-14=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
18,
15,
28,
8
] | 72 | [
"18*28=504",
"15-8=7",
"504/7=72"
] | Current State: 72:[18, 15, 28, 8], Operations: []
Exploring Operation: 18*28=504, Resulting Numbers: [15, 8, 504]
Generated Node #2: [15, 8, 504] from Operation: 18*28=504
Current State: 72:[15, 8, 504], Operations: ['18*28=504']
Exploring Operation: 15-8=7, Resulting Numbers: [504, 7]
Generated Node #3: [504, 7] from Operation: 15-8=7
Current State: 72:[504, 7], Operations: ['18*28=504', '15-8=7']
Exploring Operation: 504/7=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
33,
21,
23,
9
] | 84 | [
"33+9=42",
"23-21=2",
"42*2=84"
] | Current State: 84:[33, 21, 23, 9], Operations: []
Exploring Operation: 33+9=42, Resulting Numbers: [21, 23, 42]
Generated Node #2: [21, 23, 42] from Operation: 33+9=42
Current State: 84:[21, 23, 42], Operations: ['33+9=42']
Exploring Operation: 23-21=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 23-21=2
Current State: 84:[42, 2], Operations: ['33+9=42', '23-21=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
6,
61,
22,
17
] | 31 | [
"22-17=5",
"6*5=30",
"61-30=31"
] | Current State: 31:[6, 61, 22, 17], Operations: []
Exploring Operation: 22-17=5, Resulting Numbers: [6, 61, 5]
Generated Node #2: [6, 61, 5] from Operation: 22-17=5
Current State: 31:[6, 61, 5], Operations: ['22-17=5']
Exploring Operation: 6*5=30, Resulting Numbers: [61, 30]
Generated Node #3: [61, 30] from Operation: 6*5=30
Current State: 31:[61, 30], Operations: ['22-17=5', '6*5=30']
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
40,
18,
56,
52
] | 34 | [
"56+52=108",
"108/18=6",
"40-6=34"
] | Current State: 34:[40, 18, 56, 52], Operations: []
Exploring Operation: 56+52=108, Resulting Numbers: [40, 18, 108]
Generated Node #2: [40, 18, 108] from Operation: 56+52=108
Current State: 34:[40, 18, 108], Operations: ['56+52=108']
Exploring Operation: 108/18=6, Resulting Numbers: [40, 6]
Generated Node #3: [40, 6] from Operation: 108/18=6
Current State: 34:[40, 6], Operations: ['56+52=108', '108/18=6']
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
85,
89,
81,
22
] | 55 | [
"89-85=4",
"81-22=59",
"59-4=55"
] | Current State: 55:[85, 89, 81, 22], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [81, 22, 4]
Generated Node #2: [81, 22, 4] from Operation: 89-85=4
Current State: 55:[81, 22, 4], Operations: ['89-85=4']
Exploring Operation: 81-22=59, Resulting Numbers: [4, 59]
Generated Node #3: [4, 59] from Operation: 81-22=59
Current State: 55:[4, 59], Operations: ['89-85=4', '81-22=59']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
30,
51,
10,
72
] | 61 | [
"51-30=21",
"10+72=82",
"82-21=61"
] | Current State: 61:[30, 51, 10, 72], Operations: []
Exploring Operation: 51-30=21, Resulting Numbers: [10, 72, 21]
Generated Node #2: [10, 72, 21] from Operation: 51-30=21
Current State: 61:[10, 72, 21], Operations: ['51-30=21']
Exploring Operation: 10+72=82, Resulting Numbers: [21, 82]
Generated Node #3: [21, 82] from Operation: 10+72=82
Current State: 61:[21, 82], Operations: ['51-30=21', '10+72=82']
Exploring Operation: 82-21=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
13,
2,
9,
64
] | 47 | [
"13*2=26",
"9+64=73",
"73-26=47"
] | Current State: 47:[13, 2, 9, 64], Operations: []
Exploring Operation: 13*2=26, Resulting Numbers: [9, 64, 26]
Generated Node #2: [9, 64, 26] from Operation: 13*2=26
Current State: 47:[9, 64, 26], Operations: ['13*2=26']
Exploring Operation: 9+64=73, Resulting Numbers: [26, 73]
Generated Node #3: [26, 73] from Operation: 9+64=73
Current State: 47:[26, 73], Operations: ['13*2=26', '9+64=73']
Exploring Operation: 73-26=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
87,
48,
24,
2
] | 83 | [
"87-2=85",
"48/24=2",
"85-2=83"
] | Current State: 83:[87, 48, 24, 2], Operations: []
Exploring Operation: 87-2=85, Resulting Numbers: [48, 24, 85]
Generated Node #2: [48, 24, 85] from Operation: 87-2=85
Current State: 83:[48, 24, 85], Operations: ['87-2=85']
Exploring Operation: 48/24=2, Resulting Numbers: [85, 2]
Generated Node #3: [85, 2] from Operation: 48/24=2
Current State: 83:[85, 2], Operations: ['87-2=85', '48/24=2']
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
53,
27,
16,
34
] | 76 | [
"53-27=26",
"16+34=50",
"26+50=76"
] | Current State: 76:[53, 27, 16, 34], Operations: []
Exploring Operation: 53-27=26, Resulting Numbers: [16, 34, 26]
Generated Node #2: [16, 34, 26] from Operation: 53-27=26
Current State: 76:[16, 34, 26], Operations: ['53-27=26']
Exploring Operation: 16+34=50, Resulting Numbers: [26, 50]
Generated Node #3: [26, 50] from Operation: 16+34=50
Current State: 76:[26, 50], Operations: ['53-27=26', '16+34=50']
Exploring Operation: 26+50=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
51,
2,
22,
48
] | 17 | [
"51+2=53",
"22+48=70",
"70-53=17"
] | Current State: 17:[51, 2, 22, 48], Operations: []
Exploring Operation: 51+2=53, Resulting Numbers: [22, 48, 53]
Generated Node #2: [22, 48, 53] from Operation: 51+2=53
Current State: 17:[22, 48, 53], Operations: ['51+2=53']
Exploring Operation: 22+48=70, Resulting Numbers: [53, 70]
Generated Node #3: [53, 70] from Operation: 22+48=70
Current State: 17:[53, 70], Operations: ['51+2=53', '22+48=70']
Exploring Operation: 70-53=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
89,
5,
40,
46
] | 14 | [
"89-5=84",
"46-40=6",
"84/6=14"
] | Current State: 14:[89, 5, 40, 46], Operations: []
Exploring Operation: 89-5=84, Resulting Numbers: [40, 46, 84]
Generated Node #2: [40, 46, 84] from Operation: 89-5=84
Current State: 14:[40, 46, 84], Operations: ['89-5=84']
Exploring Operation: 46-40=6, Resulting Numbers: [84, 6]
Generated Node #3: [84, 6] from Operation: 46-40=6
Current State: 14:[84, 6], Operations: ['89-5=84', '46-40=6']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
46,
54,
23,
40
] | 92 | [
"46/23=2",
"54+40=94",
"94-2=92"
] | Current State: 92:[46, 54, 23, 40], Operations: []
Exploring Operation: 46/23=2, Resulting Numbers: [54, 40, 2]
Generated Node #2: [54, 40, 2] from Operation: 46/23=2
Current State: 92:[54, 40, 2], Operations: ['46/23=2']
Exploring Operation: 54+40=94, Resulting Numbers: [2, 94]
Generated Node #3: [2, 94] from Operation: 54+40=94
Current State: 92:[2, 94], Operations: ['46/23=2', '54+40=94']
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
72,
4,
3,
60
] | 10 | [
"72/4=18",
"3*60=180",
"180/18=10"
] | Current State: 10:[72, 4, 3, 60], Operations: []
Exploring Operation: 72/4=18, Resulting Numbers: [3, 60, 18]
Generated Node #2: [3, 60, 18] from Operation: 72/4=18
Current State: 10:[3, 60, 18], Operations: ['72/4=18']
Exploring Operation: 3*60=180, Resulting Numbers: [18, 180]
Generated Node #3: [18, 180] from Operation: 3*60=180
Current State: 10:[18, 180], Operations: ['72/4=18', '3*60=180']
Exploring Operation: 180/18=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
8,
12,
17,
51
] | 38 | [
"12-8=4",
"51-17=34",
"4+34=38"
] | Current State: 38:[8, 12, 17, 51], Operations: []
Exploring Operation: 12-8=4, Resulting Numbers: [17, 51, 4]
Generated Node #2: [17, 51, 4] from Operation: 12-8=4
Current State: 38:[17, 51, 4], Operations: ['12-8=4']
Exploring Operation: 51-17=34, Resulting Numbers: [4, 34]
Generated Node #3: [4, 34] from Operation: 51-17=34
Current State: 38:[4, 34], Operations: ['12-8=4', '51-17=34']
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
50,
59,
3,
43
] | 49 | [
"59-50=9",
"43-3=40",
"9+40=49"
] | Current State: 49:[50, 59, 3, 43], Operations: []
Exploring Operation: 59-50=9, Resulting Numbers: [3, 43, 9]
Generated Node #2: [3, 43, 9] from Operation: 59-50=9
Current State: 49:[3, 43, 9], Operations: ['59-50=9']
Exploring Operation: 43-3=40, Resulting Numbers: [9, 40]
Generated Node #3: [9, 40] from Operation: 43-3=40
Current State: 49:[9, 40], Operations: ['59-50=9', '43-3=40']
Exploring Operation: 9+40=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
68,
8,
77,
3
] | 20 | [
"68-8=60",
"77+3=80",
"80-60=20"
] | Current State: 20:[68, 8, 77, 3], Operations: []
Exploring Operation: 68-8=60, Resulting Numbers: [77, 3, 60]
Generated Node #2: [77, 3, 60] from Operation: 68-8=60
Current State: 20:[77, 3, 60], Operations: ['68-8=60']
Exploring Operation: 77+3=80, Resulting Numbers: [60, 80]
Generated Node #3: [60, 80] from Operation: 77+3=80
Current State: 20:[60, 80], Operations: ['68-8=60', '77+3=80']
Exploring Operation: 80-60=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
25,
37,
17,
29
] | 64 | [
"25-17=8",
"37-29=8",
"8*8=64"
] | Current State: 64:[25, 37, 17, 29], Operations: []
Exploring Operation: 25-17=8, Resulting Numbers: [37, 29, 8]
Generated Node #2: [37, 29, 8] from Operation: 25-17=8
Current State: 64:[37, 29, 8], Operations: ['25-17=8']
Exploring Operation: 37-29=8, Resulting Numbers: [8, 8]
Generated Node #3: [8, 8] from Operation: 37-29=8
Current State: 64:[8, 8], Operations: ['25-17=8', '37-29=8']
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
79,
59,
81,
9
] | 52 | [
"79-59=20",
"81-9=72",
"72-20=52"
] | Current State: 52:[79, 59, 81, 9], Operations: []
Exploring Operation: 79-59=20, Resulting Numbers: [81, 9, 20]
Generated Node #2: [81, 9, 20] from Operation: 79-59=20
Current State: 52:[81, 9, 20], Operations: ['79-59=20']
Exploring Operation: 81-9=72, Resulting Numbers: [20, 72]
Generated Node #3: [20, 72] from Operation: 81-9=72
Current State: 52:[20, 72], Operations: ['79-59=20', '81-9=72']
Exploring Operation: 72-20=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
28,
74,
56,
83
] | 84 | [
"28+83=111",
"56*111=6216",
"6216/74=84"
] | Current State: 84:[28, 74, 56, 83], Operations: []
Exploring Operation: 28+83=111, Resulting Numbers: [74, 56, 111]
Generated Node #2: [74, 56, 111] from Operation: 28+83=111
Current State: 84:[74, 56, 111], Operations: ['28+83=111']
Exploring Operation: 56*111=6216, Resulting Numbers: [74, 6216]
Generated Node #3: [74, 6216] from Operation: 56*111=6216
Current State: 84:[74, 6216], Operations: ['28+83=111', '56*111=6216']
Exploring Operation: 6216/74=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
43,
79,
40,
62
] | 100 | [
"43+79=122",
"62-40=22",
"122-22=100"
] | Current State: 100:[43, 79, 40, 62], Operations: []
Exploring Operation: 43+79=122, Resulting Numbers: [40, 62, 122]
Generated Node #2: [40, 62, 122] from Operation: 43+79=122
Current State: 100:[40, 62, 122], Operations: ['43+79=122']
Exploring Operation: 62-40=22, Resulting Numbers: [122, 22]
Generated Node #3: [122, 22] from Operation: 62-40=22
Current State: 100:[122, 22], Operations: ['43+79=122', '62-40=22']
Exploring Operation: 122-22=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
87,
76,
58,
8
] | 30 | [
"87-76=11",
"8*11=88",
"88-58=30"
] | Current State: 30:[87, 76, 58, 8], Operations: []
Exploring Operation: 87-76=11, Resulting Numbers: [58, 8, 11]
Generated Node #2: [58, 8, 11] from Operation: 87-76=11
Current State: 30:[58, 8, 11], Operations: ['87-76=11']
Exploring Operation: 8*11=88, Resulting Numbers: [58, 88]
Generated Node #3: [58, 88] from Operation: 8*11=88
Current State: 30:[58, 88], Operations: ['87-76=11', '8*11=88']
Exploring Operation: 88-58=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
48,
16,
49,
79
] | 68 | [
"48/16=3",
"49*3=147",
"147-79=68"
] | Current State: 68:[48, 16, 49, 79], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [49, 79, 3]
Generated Node #2: [49, 79, 3] from Operation: 48/16=3
Current State: 68:[49, 79, 3], Operations: ['48/16=3']
Exploring Operation: 49*3=147, Resulting Numbers: [79, 147]
Generated Node #3: [79, 147] from Operation: 49*3=147
Current State: 68:[79, 147], Operations: ['48/16=3', '49*3=147']
Exploring Operation: 147-79=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
19,
5,
92,
4
] | 12 | [
"19*5=95",
"95-92=3",
"4*3=12"
] | Current State: 12:[19, 5, 92, 4], Operations: []
Exploring Operation: 19*5=95, Resulting Numbers: [92, 4, 95]
Generated Node #2: [92, 4, 95] from Operation: 19*5=95
Current State: 12:[92, 4, 95], Operations: ['19*5=95']
Exploring Operation: 95-92=3, Resulting Numbers: [4, 3]
Generated Node #3: [4, 3] from Operation: 95-92=3
Current State: 12:[4, 3], Operations: ['19*5=95', '95-92=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
94,
71,
56,
85
] | 24 | [
"94+71=165",
"56+85=141",
"165-141=24"
] | Current State: 24:[94, 71, 56, 85], Operations: []
Exploring Operation: 94+71=165, Resulting Numbers: [56, 85, 165]
Generated Node #2: [56, 85, 165] from Operation: 94+71=165
Current State: 24:[56, 85, 165], Operations: ['94+71=165']
Exploring Operation: 56+85=141, Resulting Numbers: [165, 141]
Generated Node #3: [165, 141] from Operation: 56+85=141
Current State: 24:[165, 141], Operations: ['94+71=165', '56+85=141']
Exploring Operation: 165-141=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
80,
20,
84,
30
] | 82 | [
"80-20=60",
"60/30=2",
"84-2=82"
] | Current State: 82:[80, 20, 84, 30], Operations: []
Exploring Operation: 80-20=60, Resulting Numbers: [84, 30, 60]
Generated Node #2: [84, 30, 60] from Operation: 80-20=60
Current State: 82:[84, 30, 60], Operations: ['80-20=60']
Exploring Operation: 60/30=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 60/30=2
Current State: 82:[84, 2], Operations: ['80-20=60', '60/30=2']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
49,
47,
47,
32
] | 63 | [
"49-47=2",
"32/2=16",
"47+16=63"
] | Current State: 63:[49, 47, 47, 32], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [32, 2]
Generated Node #2: [32, 2] from Operation: 49-47=2
Current State: 63:[32, 2], Operations: ['49-47=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,63 equal: Goal Reached
Exploring Operation: 47+16=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
38,
63,
47,
63
] | 38 | [
"63-63=0",
"47*0=0",
"38+0=38"
] | Current State: 38:[38, 63, 47, 63], Operations: []
Exploring Operation: 63-63=0, Resulting Numbers: [38, 47, 0]
Generated Node #2: [38, 47, 0] from Operation: 63-63=0
Current State: 38:[38, 47, 0], Operations: ['63-63=0']
Exploring Operation: 47*0=0, Resulting Numbers: [38, 0]
Generated Node #3: [38, 0] from Operation: 47*0=0
Current State: 38:[38, 0], Operations: ['63-63=0', '47*0=0']
Exploring Operation: 38+0=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
37,
77,
70,
5
] | 26 | [
"77-37=40",
"70/5=14",
"40-14=26"
] | Current State: 26:[37, 77, 70, 5], Operations: []
Exploring Operation: 77-37=40, Resulting Numbers: [70, 5, 40]
Generated Node #2: [70, 5, 40] from Operation: 77-37=40
Current State: 26:[70, 5, 40], Operations: ['77-37=40']
Exploring Operation: 70/5=14, Resulting Numbers: [40, 14]
Generated Node #3: [40, 14] from Operation: 70/5=14
Current State: 26:[40, 14], Operations: ['77-37=40', '70/5=14']
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
66,
50,
68,
7
] | 10 | [
"68-66=2",
"7-2=5",
"50/5=10"
] | Current State: 10:[66, 50, 68, 7], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [50, 7, 2]
Generated Node #2: [50, 7, 2] from Operation: 68-66=2
Current State: 10:[50, 7, 2], Operations: ['68-66=2']
Exploring Operation: 7-2=5, Resulting Numbers: [50, 5]
Generated Node #3: [50, 5] from Operation: 7-2=5
Current State: 10:[50, 5], Operations: ['68-66=2', '7-2=5']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
39,
12,
43,
59
] | 75 | [
"39-12=27",
"43+59=102",
"102-27=75"
] | Current State: 75:[39, 12, 43, 59], Operations: []
Exploring Operation: 39-12=27, Resulting Numbers: [43, 59, 27]
Generated Node #2: [43, 59, 27] from Operation: 39-12=27
Current State: 75:[43, 59, 27], Operations: ['39-12=27']
Exploring Operation: 43+59=102, Resulting Numbers: [27, 102]
Generated Node #3: [27, 102] from Operation: 43+59=102
Current State: 75:[27, 102], Operations: ['39-12=27', '43+59=102']
Exploring Operation: 102-27=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
64,
60,
56,
59
] | 61 | [
"64+56=120",
"120/60=2",
"59+2=61"
] | Current State: 61:[64, 60, 56, 59], Operations: []
Exploring Operation: 64+56=120, Resulting Numbers: [60, 59, 120]
Generated Node #2: [60, 59, 120] from Operation: 64+56=120
Current State: 61:[60, 59, 120], Operations: ['64+56=120']
Exploring Operation: 120/60=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 120/60=2
Current State: 61:[59, 2], Operations: ['64+56=120', '120/60=2']
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
62,
21,
72,
7
] | 38 | [
"62-21=41",
"72+7=79",
"79-41=38"
] | Current State: 38:[62, 21, 72, 7], Operations: []
Exploring Operation: 62-21=41, Resulting Numbers: [72, 7, 41]
Generated Node #2: [72, 7, 41] from Operation: 62-21=41
Current State: 38:[72, 7, 41], Operations: ['62-21=41']
Exploring Operation: 72+7=79, Resulting Numbers: [41, 79]
Generated Node #3: [41, 79] from Operation: 72+7=79
Current State: 38:[41, 79], Operations: ['62-21=41', '72+7=79']
Exploring Operation: 79-41=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
84,
23,
36,
28
] | 39 | [
"84/28=3",
"36-23=13",
"3*13=39"
] | Current State: 39:[84, 23, 36, 28], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [23, 36, 3]
Generated Node #2: [23, 36, 3] from Operation: 84/28=3
Current State: 39:[23, 36, 3], Operations: ['84/28=3']
Exploring Operation: 36-23=13, Resulting Numbers: [3, 13]
Generated Node #3: [3, 13] from Operation: 36-23=13
Current State: 39:[3, 13], Operations: ['84/28=3', '36-23=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
26,
95,
98,
79
] | 35 | [
"26+79=105",
"98-95=3",
"105/3=35"
] | Current State: 35:[26, 95, 98, 79], Operations: []
Exploring Operation: 26+79=105, Resulting Numbers: [95, 98, 105]
Generated Node #2: [95, 98, 105] from Operation: 26+79=105
Current State: 35:[95, 98, 105], Operations: ['26+79=105']
Exploring Operation: 98-95=3, Resulting Numbers: [105, 3]
Generated Node #3: [105, 3] from Operation: 98-95=3
Current State: 35:[105, 3], Operations: ['26+79=105', '98-95=3']
Exploring Operation: 105/3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
36,
32,
50,
50
] | 25 | [
"36-32=4",
"50+50=100",
"100/4=25"
] | Current State: 25:[36, 32, 50, 50], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [50, 50, 4]
Generated Node #2: [50, 50, 4] from Operation: 36-32=4
Current State: 25:[50, 50, 4], Operations: ['36-32=4']
Exploring Operation: 50+50=100, Resulting Numbers: [4, 100]
Generated Node #3: [4, 100] from Operation: 50+50=100
Current State: 25:[4, 100], Operations: ['36-32=4', '50+50=100']
Exploring Operation: 100/4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
49,
36,
27,
36
] | 27 | [
"49*27=1323",
"36*36=1296",
"1323-1296=27"
] | Current State: 27:[49, 36, 27, 36], Operations: []
Exploring Operation: 49*27=1323, Resulting Numbers: [36, 36, 1323]
Generated Node #2: [36, 36, 1323] from Operation: 49*27=1323
Current State: 27:[36, 36, 1323], Operations: ['49*27=1323']
Exploring Operation: 36*36=1296, Resulting Numbers: [1323, 1296]
Generated Node #3: [1323, 1296] from Operation: 36*36=1296
Current State: 27:[1323, 1296], Operations: ['49*27=1323', '36*36=1296']
Exploring Operation: 1323-1296=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
16,
7,
29,
90
] | 15 | [
"16+7=23",
"29-23=6",
"90/6=15"
] | Current State: 15:[16, 7, 29, 90], Operations: []
Exploring Operation: 16+7=23, Resulting Numbers: [29, 90, 23]
Generated Node #2: [29, 90, 23] from Operation: 16+7=23
Current State: 15:[29, 90, 23], Operations: ['16+7=23']
Exploring Operation: 29-23=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 29-23=6
Current State: 15:[90, 6], Operations: ['16+7=23', '29-23=6']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
96,
84,
20,
10
] | 24 | [
"96-84=12",
"20/10=2",
"12*2=24"
] | Current State: 24:[96, 84, 20, 10], Operations: []
Exploring Operation: 96-84=12, Resulting Numbers: [20, 10, 12]
Generated Node #2: [20, 10, 12] from Operation: 96-84=12
Current State: 24:[20, 10, 12], Operations: ['96-84=12']
Exploring Operation: 20/10=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 20/10=2
Current State: 24:[12, 2], Operations: ['96-84=12', '20/10=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
94,
65,
36,
87
] | 89 | [
"94+36=130",
"130/65=2",
"87+2=89"
] | Current State: 89:[94, 65, 36, 87], Operations: []
Exploring Operation: 94+36=130, Resulting Numbers: [65, 87, 130]
Generated Node #2: [65, 87, 130] from Operation: 94+36=130
Current State: 89:[65, 87, 130], Operations: ['94+36=130']
Exploring Operation: 130/65=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 130/65=2
Current State: 89:[87, 2], Operations: ['94+36=130', '130/65=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
36,
63,
92,
45
] | 20 | [
"63-36=27",
"92-45=47",
"47-27=20"
] | Current State: 20:[36, 63, 92, 45], Operations: []
Exploring Operation: 63-36=27, Resulting Numbers: [92, 45, 27]
Generated Node #2: [92, 45, 27] from Operation: 63-36=27
Current State: 20:[92, 45, 27], Operations: ['63-36=27']
Exploring Operation: 92-45=47, Resulting Numbers: [27, 47]
Generated Node #3: [27, 47] from Operation: 92-45=47
Current State: 20:[27, 47], Operations: ['63-36=27', '92-45=47']
Exploring Operation: 47-27=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
42,
55,
42,
35
] | 89 | [
"42/42=1",
"55+35=90",
"90-1=89"
] | Current State: 89:[42, 55, 42, 35], Operations: []
Exploring Operation: 42/42=1, Resulting Numbers: [55, 35, 1]
Generated Node #2: [55, 35, 1] from Operation: 42/42=1
Current State: 89:[55, 35, 1], Operations: ['42/42=1']
Exploring Operation: 55+35=90, Resulting Numbers: [1, 90]
Generated Node #3: [1, 90] from Operation: 55+35=90
Current State: 89:[1, 90], Operations: ['42/42=1', '55+35=90']
Exploring Operation: 90-1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
13,
38,
80,
97
] | 42 | [
"38-13=25",
"97-80=17",
"25+17=42"
] | Current State: 42:[13, 38, 80, 97], Operations: []
Exploring Operation: 38-13=25, Resulting Numbers: [80, 97, 25]
Generated Node #2: [80, 97, 25] from Operation: 38-13=25
Current State: 42:[80, 97, 25], Operations: ['38-13=25']
Exploring Operation: 97-80=17, Resulting Numbers: [25, 17]
Generated Node #3: [25, 17] from Operation: 97-80=17
Current State: 42:[25, 17], Operations: ['38-13=25', '97-80=17']
Exploring Operation: 25+17=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
6,
23,
89,
37
] | 12 | [
"6*23=138",
"89+37=126",
"138-126=12"
] | Current State: 12:[6, 23, 89, 37], Operations: []
Exploring Operation: 6*23=138, Resulting Numbers: [89, 37, 138]
Generated Node #2: [89, 37, 138] from Operation: 6*23=138
Current State: 12:[89, 37, 138], Operations: ['6*23=138']
Exploring Operation: 89+37=126, Resulting Numbers: [138, 126]
Generated Node #3: [138, 126] from Operation: 89+37=126
Current State: 12:[138, 126], Operations: ['6*23=138', '89+37=126']
Exploring Operation: 138-126=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
36,
40,
41,
54
] | 54 | [
"40+41=81",
"36*81=2916",
"2916/54=54"
] | Current State: 54:[36, 40, 41, 54], Operations: []
Exploring Operation: 40+41=81, Resulting Numbers: [36, 54, 81]
Generated Node #2: [36, 54, 81] from Operation: 40+41=81
Current State: 54:[36, 54, 81], Operations: ['40+41=81']
Exploring Operation: 36*81=2916, Resulting Numbers: [54, 2916]
Generated Node #3: [54, 2916] from Operation: 36*81=2916
Current State: 54:[54, 2916], Operations: ['40+41=81', '36*81=2916']
Exploring Operation: 2916/54=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
35,
3,
17,
26
] | 65 | [
"35*26=910",
"17-3=14",
"910/14=65"
] | Current State: 65:[35, 3, 17, 26], Operations: []
Exploring Operation: 35*26=910, Resulting Numbers: [3, 17, 910]
Generated Node #2: [3, 17, 910] from Operation: 35*26=910
Current State: 65:[3, 17, 910], Operations: ['35*26=910']
Exploring Operation: 17-3=14, Resulting Numbers: [910, 14]
Generated Node #3: [910, 14] from Operation: 17-3=14
Current State: 65:[910, 14], Operations: ['35*26=910', '17-3=14']
Exploring Operation: 910/14=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
75,
18,
3,
2
] | 63 | [
"75-18=57",
"3*2=6",
"57+6=63"
] | Current State: 63:[75, 18, 3, 2], Operations: []
Exploring Operation: 75-18=57, Resulting Numbers: [3, 2, 57]
Generated Node #2: [3, 2, 57] from Operation: 75-18=57
Current State: 63:[3, 2, 57], Operations: ['75-18=57']
Exploring Operation: 3*2=6, Resulting Numbers: [57, 6]
Generated Node #3: [57, 6] from Operation: 3*2=6
Current State: 63:[57, 6], Operations: ['75-18=57', '3*2=6']
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
36,
2,
58,
50
] | 10 | [
"36/2=18",
"58-50=8",
"18-8=10"
] | Current State: 10:[36, 2, 58, 50], Operations: []
Exploring Operation: 36/2=18, Resulting Numbers: [58, 50, 18]
Generated Node #2: [58, 50, 18] from Operation: 36/2=18
Current State: 10:[58, 50, 18], Operations: ['36/2=18']
Exploring Operation: 58-50=8, Resulting Numbers: [18, 8]
Generated Node #3: [18, 8] from Operation: 58-50=8
Current State: 10:[18, 8], Operations: ['36/2=18', '58-50=8']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
12,
10,
13,
85
] | 11 | [
"12+13=25",
"85+25=110",
"110/10=11"
] | Current State: 11:[12, 10, 13, 85], Operations: []
Exploring Operation: 12+13=25, Resulting Numbers: [10, 85, 25]
Generated Node #2: [10, 85, 25] from Operation: 12+13=25
Current State: 11:[10, 85, 25], Operations: ['12+13=25']
Exploring Operation: 85+25=110, Resulting Numbers: [10, 110]
Generated Node #3: [10, 110] from Operation: 85+25=110
Current State: 11:[10, 110], Operations: ['12+13=25', '85+25=110']
Exploring Operation: 110/10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
10,
41,
72,
5
] | 10 | [
"10*41=410",
"410/5=82",
"82-72=10"
] | Current State: 10:[10, 41, 72, 5], Operations: []
Exploring Operation: 10*41=410, Resulting Numbers: [72, 5, 410]
Generated Node #2: [72, 5, 410] from Operation: 10*41=410
Current State: 10:[72, 5, 410], Operations: ['10*41=410']
Exploring Operation: 410/5=82, Resulting Numbers: [72, 82]
Generated Node #3: [72, 82] from Operation: 410/5=82
Current State: 10:[72, 82], Operations: ['10*41=410', '410/5=82']
Exploring Operation: 82-72=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
68,
29,
22,
24
] | 51 | [
"68+29=97",
"22+24=46",
"97-46=51"
] | Current State: 51:[68, 29, 22, 24], Operations: []
Exploring Operation: 68+29=97, Resulting Numbers: [22, 24, 97]
Generated Node #2: [22, 24, 97] from Operation: 68+29=97
Current State: 51:[22, 24, 97], Operations: ['68+29=97']
Exploring Operation: 22+24=46, Resulting Numbers: [97, 46]
Generated Node #3: [97, 46] from Operation: 22+24=46
Current State: 51:[97, 46], Operations: ['68+29=97', '22+24=46']
Exploring Operation: 97-46=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
76,
30,
98,
84
] | 16 | [
"84-76=8",
"30+98=128",
"128/8=16"
] | Current State: 16:[76, 30, 98, 84], Operations: []
Exploring Operation: 84-76=8, Resulting Numbers: [30, 98, 8]
Generated Node #2: [30, 98, 8] from Operation: 84-76=8
Current State: 16:[30, 98, 8], Operations: ['84-76=8']
Exploring Operation: 30+98=128, Resulting Numbers: [8, 128]
Generated Node #3: [8, 128] from Operation: 30+98=128
Current State: 16:[8, 128], Operations: ['84-76=8', '30+98=128']
Exploring Operation: 128/8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
17,
60,
32,
44
] | 32 | [
"60-17=43",
"44-43=1",
"32*1=32"
] | Current State: 32:[17, 60, 32, 44], Operations: []
Exploring Operation: 60-17=43, Resulting Numbers: [32, 44, 43]
Generated Node #2: [32, 44, 43] from Operation: 60-17=43
Current State: 32:[32, 44, 43], Operations: ['60-17=43']
Exploring Operation: 44-43=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 44-43=1
Current State: 32:[32, 1], Operations: ['60-17=43', '44-43=1']
Exploring Operation: 32*1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
14,
9,
63,
15
] | 36 | [
"14+15=29",
"63/9=7",
"29+7=36"
] | Current State: 36:[14, 9, 63, 15], Operations: []
Exploring Operation: 14+15=29, Resulting Numbers: [9, 63, 29]
Generated Node #2: [9, 63, 29] from Operation: 14+15=29
Current State: 36:[9, 63, 29], Operations: ['14+15=29']
Exploring Operation: 63/9=7, Resulting Numbers: [29, 7]
Generated Node #3: [29, 7] from Operation: 63/9=7
Current State: 36:[29, 7], Operations: ['14+15=29', '63/9=7']
Exploring Operation: 29+7=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
12,
68,
38,
79
] | 38 | [
"12+68=80",
"80-79=1",
"38*1=38"
] | Current State: 38:[12, 68, 38, 79], Operations: []
Exploring Operation: 12+68=80, Resulting Numbers: [38, 79, 80]
Generated Node #2: [38, 79, 80] from Operation: 12+68=80
Current State: 38:[38, 79, 80], Operations: ['12+68=80']
Exploring Operation: 80-79=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 80-79=1
Current State: 38:[38, 1], Operations: ['12+68=80', '80-79=1']
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
31,
23,
49,
23
] | 79 | [
"31+49=80",
"23/23=1",
"80-1=79"
] | Current State: 79:[31, 23, 49, 23], Operations: []
Exploring Operation: 31+49=80, Resulting Numbers: [23, 23, 80]
Generated Node #2: [23, 23, 80] from Operation: 31+49=80
Current State: 79:[23, 23, 80], Operations: ['31+49=80']
Exploring Operation: 23/23=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 23/23=1
Current State: 79:[80, 1], Operations: ['31+49=80', '23/23=1']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
89,
13,
3,
83
] | 39 | [
"89-3=86",
"86-83=3",
"13*3=39"
] | Current State: 39:[89, 13, 3, 83], Operations: []
Exploring Operation: 89-3=86, Resulting Numbers: [13, 83, 86]
Generated Node #2: [13, 83, 86] from Operation: 89-3=86
Current State: 39:[13, 83, 86], Operations: ['89-3=86']
Exploring Operation: 86-83=3, Resulting Numbers: [13, 3]
Generated Node #3: [13, 3] from Operation: 86-83=3
Current State: 39:[13, 3], Operations: ['89-3=86', '86-83=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
50,
94,
98,
32
] | 56 | [
"94+98=192",
"192/32=6",
"50+6=56"
] | Current State: 56:[50, 94, 98, 32], Operations: []
Exploring Operation: 94+98=192, Resulting Numbers: [50, 32, 192]
Generated Node #2: [50, 32, 192] from Operation: 94+98=192
Current State: 56:[50, 32, 192], Operations: ['94+98=192']
Exploring Operation: 192/32=6, Resulting Numbers: [50, 6]
Generated Node #3: [50, 6] from Operation: 192/32=6
Current State: 56:[50, 6], Operations: ['94+98=192', '192/32=6']
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
13,
18,
7,
25
] | 22 | [
"13-7=6",
"18/6=3",
"25-3=22"
] | Current State: 22:[13, 18, 7, 25], Operations: []
Exploring Operation: 13-7=6, Resulting Numbers: [18, 25, 6]
Generated Node #2: [18, 25, 6] from Operation: 13-7=6
Current State: 22:[18, 25, 6], Operations: ['13-7=6']
Exploring Operation: 18/6=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 18/6=3
Current State: 22:[25, 3], Operations: ['13-7=6', '18/6=3']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
79,
36,
54,
5
] | 11 | [
"54-36=18",
"5*18=90",
"90-79=11"
] | Current State: 11:[79, 36, 54, 5], Operations: []
Exploring Operation: 54-36=18, Resulting Numbers: [79, 5, 18]
Generated Node #2: [79, 5, 18] from Operation: 54-36=18
Current State: 11:[79, 5, 18], Operations: ['54-36=18']
Exploring Operation: 5*18=90, Resulting Numbers: [79, 90]
Generated Node #3: [79, 90] from Operation: 5*18=90
Current State: 11:[79, 90], Operations: ['54-36=18', '5*18=90']
Exploring Operation: 90-79=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
6,
39,
2,
68
] | 22 | [
"6+39=45",
"2*45=90",
"90-68=22"
] | Current State: 22:[6, 39, 2, 68], Operations: []
Exploring Operation: 6+39=45, Resulting Numbers: [2, 68, 45]
Generated Node #2: [2, 68, 45] from Operation: 6+39=45
Current State: 22:[2, 68, 45], Operations: ['6+39=45']
Exploring Operation: 2*45=90, Resulting Numbers: [68, 90]
Generated Node #3: [68, 90] from Operation: 2*45=90
Current State: 22:[68, 90], Operations: ['6+39=45', '2*45=90']
Exploring Operation: 90-68=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
85,
2,
66,
52
] | 90 | [
"85-66=19",
"2*19=38",
"52+38=90"
] | Current State: 90:[85, 2, 66, 52], Operations: []
Exploring Operation: 85-66=19, Resulting Numbers: [2, 52, 19]
Generated Node #2: [2, 52, 19] from Operation: 85-66=19
Current State: 90:[2, 52, 19], Operations: ['85-66=19']
Exploring Operation: 2*19=38, Resulting Numbers: [52, 38]
Generated Node #3: [52, 38] from Operation: 2*19=38
Current State: 90:[52, 38], Operations: ['85-66=19', '2*19=38']
Exploring Operation: 52+38=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
83,
32,
56,
85
] | 22 | [
"83-32=51",
"85-56=29",
"51-29=22"
] | Current State: 22:[83, 32, 56, 85], Operations: []
Exploring Operation: 83-32=51, Resulting Numbers: [56, 85, 51]
Generated Node #2: [56, 85, 51] from Operation: 83-32=51
Current State: 22:[56, 85, 51], Operations: ['83-32=51']
Exploring Operation: 85-56=29, Resulting Numbers: [51, 29]
Generated Node #3: [51, 29] from Operation: 85-56=29
Current State: 22:[51, 29], Operations: ['83-32=51', '85-56=29']
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
10,
44,
80,
45
] | 88 | [
"10+80=90",
"44*90=3960",
"3960/45=88"
] | Current State: 88:[10, 44, 80, 45], Operations: []
Exploring Operation: 10+80=90, Resulting Numbers: [44, 45, 90]
Generated Node #2: [44, 45, 90] from Operation: 10+80=90
Current State: 88:[44, 45, 90], Operations: ['10+80=90']
Exploring Operation: 44*90=3960, Resulting Numbers: [45, 3960]
Generated Node #3: [45, 3960] from Operation: 44*90=3960
Current State: 88:[45, 3960], Operations: ['10+80=90', '44*90=3960']
Exploring Operation: 3960/45=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
70,
47,
60,
60
] | 22 | [
"70-47=23",
"60/60=1",
"23-1=22"
] | Current State: 22:[70, 47, 60, 60], Operations: []
Exploring Operation: 70-47=23, Resulting Numbers: [60, 60, 23]
Generated Node #2: [60, 60, 23] from Operation: 70-47=23
Current State: 22:[60, 60, 23], Operations: ['70-47=23']
Exploring Operation: 60/60=1, Resulting Numbers: [23, 1]
Generated Node #3: [23, 1] from Operation: 60/60=1
Current State: 22:[23, 1], Operations: ['70-47=23', '60/60=1']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
32,
9,
18,
15
] | 20 | [
"32-9=23",
"18-15=3",
"23-3=20"
] | Current State: 20:[32, 9, 18, 15], Operations: []
Exploring Operation: 32-9=23, Resulting Numbers: [18, 15, 23]
Generated Node #2: [18, 15, 23] from Operation: 32-9=23
Current State: 20:[18, 15, 23], Operations: ['32-9=23']
Exploring Operation: 18-15=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 18-15=3
Current State: 20:[23, 3], Operations: ['32-9=23', '18-15=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
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