nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
88,
65,
37,
5
] | 78 | [
"88-65=23",
"5*23=115",
"115-37=78"
] | Current State: 78:[88, 65, 37, 5], Operations: []
Exploring Operation: 88-65=23, Resulting Numbers: [37, 5, 23]
Generated Node #2: [37, 5, 23] from Operation: 88-65=23
Current State: 78:[37, 5, 23], Operations: ['88-65=23']
Exploring Operation: 5*23=115, Resulting Numbers: [37, 115]
Generated Node #3: [37, 115] from Operation: 5*23=115
Current State: 78:[37, 115], Operations: ['88-65=23', '5*23=115']
Exploring Operation: 115-37=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
92,
17,
9,
24
] | 90 | [
"92-17=75",
"24-9=15",
"75+15=90"
] | Current State: 90:[92, 17, 9, 24], Operations: []
Exploring Operation: 92-17=75, Resulting Numbers: [9, 24, 75]
Generated Node #2: [9, 24, 75] from Operation: 92-17=75
Current State: 90:[9, 24, 75], Operations: ['92-17=75']
Exploring Operation: 24-9=15, Resulting Numbers: [75, 15]
Generated Node #3: [75, 15] from Operation: 24-9=15
Current State: 90:[75, 15], Operations: ['92-17=75', '24-9=15']
Exploring Operation: 75+15=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
31,
44,
41,
6
] | 49 | [
"44-41=3",
"6*3=18",
"31+18=49"
] | Current State: 49:[31, 44, 41, 6], Operations: []
Exploring Operation: 44-41=3, Resulting Numbers: [31, 6, 3]
Generated Node #2: [31, 6, 3] from Operation: 44-41=3
Current State: 49:[31, 6, 3], Operations: ['44-41=3']
Exploring Operation: 6*3=18, Resulting Numbers: [31, 18]
Generated Node #3: [31, 18] from Operation: 6*3=18
Current State: 49:[31, 18], Operations: ['44-41=3', '6*3=18']
Exploring Operation: 31+18=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
33,
88,
92,
36
] | 65 | [
"33+88=121",
"92-36=56",
"121-56=65"
] | Current State: 65:[33, 88, 92, 36], Operations: []
Exploring Operation: 33+88=121, Resulting Numbers: [92, 36, 121]
Generated Node #2: [92, 36, 121] from Operation: 33+88=121
Current State: 65:[92, 36, 121], Operations: ['33+88=121']
Exploring Operation: 92-36=56, Resulting Numbers: [121, 56]
Generated Node #3: [121, 56] from Operation: 92-36=56
Current State: 65:[121, 56], Operations: ['33+88=121', '92-36=56']
Exploring Operation: 121-56=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
27,
24,
2,
56
] | 79 | [
"27+24=51",
"56/2=28",
"51+28=79"
] | Current State: 79:[27, 24, 2, 56], Operations: []
Exploring Operation: 27+24=51, Resulting Numbers: [2, 56, 51]
Generated Node #2: [2, 56, 51] from Operation: 27+24=51
Current State: 79:[2, 56, 51], Operations: ['27+24=51']
Exploring Operation: 56/2=28, Resulting Numbers: [51, 28]
Generated Node #3: [51, 28] from Operation: 56/2=28
Current State: 79:[51, 28], Operations: ['27+24=51', '56/2=28']
Exploring Operation: 51+28=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
1,
88,
68,
4
] | 47 | [
"1+68=69",
"88/4=22",
"69-22=47"
] | Current State: 47:[1, 88, 68, 4], Operations: []
Exploring Operation: 1+68=69, Resulting Numbers: [88, 4, 69]
Generated Node #2: [88, 4, 69] from Operation: 1+68=69
Current State: 47:[88, 4, 69], Operations: ['1+68=69']
Exploring Operation: 88/4=22, Resulting Numbers: [69, 22]
Generated Node #3: [69, 22] from Operation: 88/4=22
Current State: 47:[69, 22], Operations: ['1+68=69', '88/4=22']
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
62,
26,
49,
98
] | 39 | [
"62+26=88",
"98-49=49",
"88-49=39"
] | Current State: 39:[62, 26, 49, 98], Operations: []
Exploring Operation: 62+26=88, Resulting Numbers: [49, 98, 88]
Generated Node #2: [49, 98, 88] from Operation: 62+26=88
Current State: 39:[49, 98, 88], Operations: ['62+26=88']
Exploring Operation: 98-49=49, Resulting Numbers: [88, 49]
Generated Node #3: [88, 49] from Operation: 98-49=49
Current State: 39:[88, 49], Operations: ['62+26=88', '98-49=49']
Exploring Operation: 88-49=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
72,
18,
45,
9
] | 18 | [
"72+18=90",
"45/9=5",
"90/5=18"
] | Current State: 18:[72, 18, 45, 9], Operations: []
Exploring Operation: 72+18=90, Resulting Numbers: [45, 9, 90]
Generated Node #2: [45, 9, 90] from Operation: 72+18=90
Current State: 18:[45, 9, 90], Operations: ['72+18=90']
Exploring Operation: 45/9=5, Resulting Numbers: [90, 5]
Generated Node #3: [90, 5] from Operation: 45/9=5
Current State: 18:[90, 5], Operations: ['72+18=90', '45/9=5']
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
10,
76,
2,
75
] | 12 | [
"10+2=12",
"76-75=1",
"12*1=12"
] | Current State: 12:[10, 76, 2, 75], Operations: []
Exploring Operation: 10+2=12, Resulting Numbers: [76, 75, 12]
Generated Node #2: [76, 75, 12] from Operation: 10+2=12
Current State: 12:[76, 75, 12], Operations: ['10+2=12']
Exploring Operation: 76-75=1, Resulting Numbers: [12, 1]
Generated Node #3: [12, 1] from Operation: 76-75=1
Current State: 12:[12, 1], Operations: ['10+2=12', '76-75=1']
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
39,
39,
39,
9
] | 48 | [
"39+39=78",
"39-9=30",
"78-30=48"
] | Current State: 48:[39, 39, 39, 9], Operations: []
Exploring Operation: 39+39=78, Resulting Numbers: [9, 78]
Generated Node #2: [9, 78] from Operation: 39+39=78
Current State: 48:[9, 78], Operations: ['39+39=78']
Exploring Operation: 39-9=30, Resulting Numbers: [78, 30]
Generated Node #3: [78, 30] from Operation: 39-9=30
Current State: 48:[78, 30], Operations: ['39+39=78', '39-9=30']
Exploring Operation: 78-30=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
64,
1,
22,
27
] | 59 | [
"64*1=64",
"27-22=5",
"64-5=59"
] | Current State: 59:[64, 1, 22, 27], Operations: []
Exploring Operation: 64*1=64, Resulting Numbers: [22, 27, 64]
Generated Node #2: [22, 27, 64] from Operation: 64*1=64
Current State: 59:[22, 27, 64], Operations: ['64*1=64']
Exploring Operation: 27-22=5, Resulting Numbers: [64, 5]
Generated Node #3: [64, 5] from Operation: 27-22=5
Current State: 59:[64, 5], Operations: ['64*1=64', '27-22=5']
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
55,
30,
32,
18
] | 91 | [
"32-30=2",
"18*2=36",
"55+36=91"
] | Current State: 91:[55, 30, 32, 18], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [55, 18, 2]
Generated Node #2: [55, 18, 2] from Operation: 32-30=2
Current State: 91:[55, 18, 2], Operations: ['32-30=2']
Exploring Operation: 18*2=36, Resulting Numbers: [55, 36]
Generated Node #3: [55, 36] from Operation: 18*2=36
Current State: 91:[55, 36], Operations: ['32-30=2', '18*2=36']
Exploring Operation: 55+36=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
99,
80,
55,
91
] | 46 | [
"91-80=11",
"99/11=9",
"55-9=46"
] | Current State: 46:[99, 80, 55, 91], Operations: []
Exploring Operation: 91-80=11, Resulting Numbers: [99, 55, 11]
Generated Node #2: [99, 55, 11] from Operation: 91-80=11
Current State: 46:[99, 55, 11], Operations: ['91-80=11']
Exploring Operation: 99/11=9, Resulting Numbers: [55, 9]
Generated Node #3: [55, 9] from Operation: 99/11=9
Current State: 46:[55, 9], Operations: ['91-80=11', '99/11=9']
Exploring Operation: 55-9=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
12,
2,
33,
73
] | 47 | [
"33-12=21",
"73+21=94",
"94/2=47"
] | Current State: 47:[12, 2, 33, 73], Operations: []
Exploring Operation: 33-12=21, Resulting Numbers: [2, 73, 21]
Generated Node #2: [2, 73, 21] from Operation: 33-12=21
Current State: 47:[2, 73, 21], Operations: ['33-12=21']
Exploring Operation: 73+21=94, Resulting Numbers: [2, 94]
Generated Node #3: [2, 94] from Operation: 73+21=94
Current State: 47:[2, 94], Operations: ['33-12=21', '73+21=94']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
50,
12,
84,
24
] | 67 | [
"50+84=134",
"24/12=2",
"134/2=67"
] | Current State: 67:[50, 12, 84, 24], Operations: []
Exploring Operation: 50+84=134, Resulting Numbers: [12, 24, 134]
Generated Node #2: [12, 24, 134] from Operation: 50+84=134
Current State: 67:[12, 24, 134], Operations: ['50+84=134']
Exploring Operation: 24/12=2, Resulting Numbers: [134, 2]
Generated Node #3: [134, 2] from Operation: 24/12=2
Current State: 67:[134, 2], Operations: ['50+84=134', '24/12=2']
Exploring Operation: 134/2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
51,
62,
37,
97
] | 71 | [
"62-51=11",
"97-37=60",
"11+60=71"
] | Current State: 71:[51, 62, 37, 97], Operations: []
Exploring Operation: 62-51=11, Resulting Numbers: [37, 97, 11]
Generated Node #2: [37, 97, 11] from Operation: 62-51=11
Current State: 71:[37, 97, 11], Operations: ['62-51=11']
Exploring Operation: 97-37=60, Resulting Numbers: [11, 60]
Generated Node #3: [11, 60] from Operation: 97-37=60
Current State: 71:[11, 60], Operations: ['62-51=11', '97-37=60']
Exploring Operation: 11+60=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
27,
31,
29,
22
] | 59 | [
"31-27=4",
"22*4=88",
"88-29=59"
] | Current State: 59:[27, 31, 29, 22], Operations: []
Exploring Operation: 31-27=4, Resulting Numbers: [29, 22, 4]
Generated Node #2: [29, 22, 4] from Operation: 31-27=4
Current State: 59:[29, 22, 4], Operations: ['31-27=4']
Exploring Operation: 22*4=88, Resulting Numbers: [29, 88]
Generated Node #3: [29, 88] from Operation: 22*4=88
Current State: 59:[29, 88], Operations: ['31-27=4', '22*4=88']
Exploring Operation: 88-29=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
63,
1,
14,
42
] | 65 | [
"63-1=62",
"42/14=3",
"62+3=65"
] | Current State: 65:[63, 1, 14, 42], Operations: []
Exploring Operation: 63-1=62, Resulting Numbers: [14, 42, 62]
Generated Node #2: [14, 42, 62] from Operation: 63-1=62
Current State: 65:[14, 42, 62], Operations: ['63-1=62']
Exploring Operation: 42/14=3, Resulting Numbers: [62, 3]
Generated Node #3: [62, 3] from Operation: 42/14=3
Current State: 65:[62, 3], Operations: ['63-1=62', '42/14=3']
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
89,
2,
31,
74
] | 45 | [
"89-31=58",
"58/2=29",
"74-29=45"
] | Current State: 45:[89, 2, 31, 74], Operations: []
Exploring Operation: 89-31=58, Resulting Numbers: [2, 74, 58]
Generated Node #2: [2, 74, 58] from Operation: 89-31=58
Current State: 45:[2, 74, 58], Operations: ['89-31=58']
Exploring Operation: 58/2=29, Resulting Numbers: [74, 29]
Generated Node #3: [74, 29] from Operation: 58/2=29
Current State: 45:[74, 29], Operations: ['89-31=58', '58/2=29']
Exploring Operation: 74-29=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
14,
64,
8,
10
] | 71 | [
"10-8=2",
"14/2=7",
"64+7=71"
] | Current State: 71:[14, 64, 8, 10], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [14, 64, 2]
Generated Node #2: [14, 64, 2] from Operation: 10-8=2
Current State: 71:[14, 64, 2], Operations: ['10-8=2']
Exploring Operation: 14/2=7, Resulting Numbers: [64, 7]
Generated Node #3: [64, 7] from Operation: 14/2=7
Current State: 71:[64, 7], Operations: ['10-8=2', '14/2=7']
Exploring Operation: 64+7=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
2,
18,
17,
37
] | 53 | [
"2*17=34",
"37-18=19",
"34+19=53"
] | Current State: 53:[2, 18, 17, 37], Operations: []
Exploring Operation: 2*17=34, Resulting Numbers: [18, 37, 34]
Generated Node #2: [18, 37, 34] from Operation: 2*17=34
Current State: 53:[18, 37, 34], Operations: ['2*17=34']
Exploring Operation: 37-18=19, Resulting Numbers: [34, 19]
Generated Node #3: [34, 19] from Operation: 37-18=19
Current State: 53:[34, 19], Operations: ['2*17=34', '37-18=19']
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
22,
57,
44,
16
] | 75 | [
"44/22=2",
"57+16=73",
"2+73=75"
] | Current State: 75:[22, 57, 44, 16], Operations: []
Exploring Operation: 44/22=2, Resulting Numbers: [57, 16, 2]
Generated Node #2: [57, 16, 2] from Operation: 44/22=2
Current State: 75:[57, 16, 2], Operations: ['44/22=2']
Exploring Operation: 57+16=73, Resulting Numbers: [2, 73]
Generated Node #3: [2, 73] from Operation: 57+16=73
Current State: 75:[2, 73], Operations: ['44/22=2', '57+16=73']
Exploring Operation: 2+73=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
55,
70,
14,
62
] | 51 | [
"55*14=770",
"770/70=11",
"62-11=51"
] | Current State: 51:[55, 70, 14, 62], Operations: []
Exploring Operation: 55*14=770, Resulting Numbers: [70, 62, 770]
Generated Node #2: [70, 62, 770] from Operation: 55*14=770
Current State: 51:[70, 62, 770], Operations: ['55*14=770']
Exploring Operation: 770/70=11, Resulting Numbers: [62, 11]
Generated Node #3: [62, 11] from Operation: 770/70=11
Current State: 51:[62, 11], Operations: ['55*14=770', '770/70=11']
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
15,
92,
70,
79
] | 98 | [
"15+92=107",
"79-70=9",
"107-9=98"
] | Current State: 98:[15, 92, 70, 79], Operations: []
Exploring Operation: 15+92=107, Resulting Numbers: [70, 79, 107]
Generated Node #2: [70, 79, 107] from Operation: 15+92=107
Current State: 98:[70, 79, 107], Operations: ['15+92=107']
Exploring Operation: 79-70=9, Resulting Numbers: [107, 9]
Generated Node #3: [107, 9] from Operation: 79-70=9
Current State: 98:[107, 9], Operations: ['15+92=107', '79-70=9']
Exploring Operation: 107-9=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
36,
10,
10,
93
] | 57 | [
"36+10=46",
"10+93=103",
"103-46=57"
] | Current State: 57:[36, 10, 10, 93], Operations: []
Exploring Operation: 36+10=46, Resulting Numbers: [93, 46]
Generated Node #2: [93, 46] from Operation: 36+10=46
Current State: 57:[93, 46], Operations: ['36+10=46']
Exploring Operation: 10+93=103, Resulting Numbers: [46, 103]
Generated Node #3: [46, 103] from Operation: 10+93=103
Current State: 57:[46, 103], Operations: ['36+10=46', '10+93=103']
Exploring Operation: 103-46=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
10,
59,
4,
23
] | 43 | [
"59-10=49",
"4*23=92",
"92-49=43"
] | Current State: 43:[10, 59, 4, 23], Operations: []
Exploring Operation: 59-10=49, Resulting Numbers: [4, 23, 49]
Generated Node #2: [4, 23, 49] from Operation: 59-10=49
Current State: 43:[4, 23, 49], Operations: ['59-10=49']
Exploring Operation: 4*23=92, Resulting Numbers: [49, 92]
Generated Node #3: [49, 92] from Operation: 4*23=92
Current State: 43:[49, 92], Operations: ['59-10=49', '4*23=92']
Exploring Operation: 92-49=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
87,
64,
63,
43
] | 84 | [
"64-43=21",
"63/21=3",
"87-3=84"
] | Current State: 84:[87, 64, 63, 43], Operations: []
Exploring Operation: 64-43=21, Resulting Numbers: [87, 63, 21]
Generated Node #2: [87, 63, 21] from Operation: 64-43=21
Current State: 84:[87, 63, 21], Operations: ['64-43=21']
Exploring Operation: 63/21=3, Resulting Numbers: [87, 3]
Generated Node #3: [87, 3] from Operation: 63/21=3
Current State: 84:[87, 3], Operations: ['64-43=21', '63/21=3']
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
83,
6,
9,
80
] | 37 | [
"9*80=720",
"720/6=120",
"120-83=37"
] | Current State: 37:[83, 6, 9, 80], Operations: []
Exploring Operation: 9*80=720, Resulting Numbers: [83, 6, 720]
Generated Node #2: [83, 6, 720] from Operation: 9*80=720
Current State: 37:[83, 6, 720], Operations: ['9*80=720']
Exploring Operation: 720/6=120, Resulting Numbers: [83, 120]
Generated Node #3: [83, 120] from Operation: 720/6=120
Current State: 37:[83, 120], Operations: ['9*80=720', '720/6=120']
Exploring Operation: 120-83=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
72,
12,
24,
53
] | 51 | [
"12+24=36",
"72/36=2",
"53-2=51"
] | Current State: 51:[72, 12, 24, 53], Operations: []
Exploring Operation: 12+24=36, Resulting Numbers: [72, 53, 36]
Generated Node #2: [72, 53, 36] from Operation: 12+24=36
Current State: 51:[72, 53, 36], Operations: ['12+24=36']
Exploring Operation: 72/36=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 72/36=2
Current State: 51:[53, 2], Operations: ['12+24=36', '72/36=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
90,
35,
62,
27
] | 34 | [
"90-35=55",
"62+27=89",
"89-55=34"
] | Current State: 34:[90, 35, 62, 27], Operations: []
Exploring Operation: 90-35=55, Resulting Numbers: [62, 27, 55]
Generated Node #2: [62, 27, 55] from Operation: 90-35=55
Current State: 34:[62, 27, 55], Operations: ['90-35=55']
Exploring Operation: 62+27=89, Resulting Numbers: [55, 89]
Generated Node #3: [55, 89] from Operation: 62+27=89
Current State: 34:[55, 89], Operations: ['90-35=55', '62+27=89']
Exploring Operation: 89-55=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
87,
41,
31,
10
] | 87 | [
"87+41=128",
"31+10=41",
"128-41=87"
] | Current State: 87:[87, 41, 31, 10], Operations: []
Exploring Operation: 87+41=128, Resulting Numbers: [31, 10, 128]
Generated Node #2: [31, 10, 128] from Operation: 87+41=128
Current State: 87:[31, 10, 128], Operations: ['87+41=128']
Exploring Operation: 31+10=41, Resulting Numbers: [128, 41]
Generated Node #3: [128, 41] from Operation: 31+10=41
Current State: 87:[128, 41], Operations: ['87+41=128', '31+10=41']
Exploring Operation: 128-41=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
32,
12,
13,
6
] | 43 | [
"32+13=45",
"12/6=2",
"45-2=43"
] | Current State: 43:[32, 12, 13, 6], Operations: []
Exploring Operation: 32+13=45, Resulting Numbers: [12, 6, 45]
Generated Node #2: [12, 6, 45] from Operation: 32+13=45
Current State: 43:[12, 6, 45], Operations: ['32+13=45']
Exploring Operation: 12/6=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 12/6=2
Current State: 43:[45, 2], Operations: ['32+13=45', '12/6=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
59,
89,
95,
5
] | 60 | [
"89-59=30",
"95-5=90",
"90-30=60"
] | Current State: 60:[59, 89, 95, 5], Operations: []
Exploring Operation: 89-59=30, Resulting Numbers: [95, 5, 30]
Generated Node #2: [95, 5, 30] from Operation: 89-59=30
Current State: 60:[95, 5, 30], Operations: ['89-59=30']
Exploring Operation: 95-5=90, Resulting Numbers: [30, 90]
Generated Node #3: [30, 90] from Operation: 95-5=90
Current State: 60:[30, 90], Operations: ['89-59=30', '95-5=90']
Exploring Operation: 90-30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
65,
77,
51,
11
] | 77 | [
"65-51=14",
"11*14=154",
"154-77=77"
] | Current State: 77:[65, 77, 51, 11], Operations: []
Exploring Operation: 65-51=14, Resulting Numbers: [77, 11, 14]
Generated Node #2: [77, 11, 14] from Operation: 65-51=14
Current State: 77:[77, 11, 14], Operations: ['65-51=14']
Exploring Operation: 11*14=154, Resulting Numbers: [77, 154]
Generated Node #3: [77, 154] from Operation: 11*14=154
Current State: 77:[77, 154], Operations: ['65-51=14', '11*14=154']
Exploring Operation: 154-77=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
75,
9,
35,
3
] | 51 | [
"75/3=25",
"35-9=26",
"25+26=51"
] | Current State: 51:[75, 9, 35, 3], Operations: []
Exploring Operation: 75/3=25, Resulting Numbers: [9, 35, 25]
Generated Node #2: [9, 35, 25] from Operation: 75/3=25
Current State: 51:[9, 35, 25], Operations: ['75/3=25']
Exploring Operation: 35-9=26, Resulting Numbers: [25, 26]
Generated Node #3: [25, 26] from Operation: 35-9=26
Current State: 51:[25, 26], Operations: ['75/3=25', '35-9=26']
Exploring Operation: 25+26=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
89,
65,
89,
48
] | 87 | [
"89-65=24",
"48/24=2",
"89-2=87"
] | Current State: 87:[89, 65, 89, 48], Operations: []
Exploring Operation: 89-65=24, Resulting Numbers: [48, 24]
Generated Node #2: [48, 24] from Operation: 89-65=24
Current State: 87:[48, 24], Operations: ['89-65=24']
Exploring Operation: 48/24=2, Resulting Numbers: [2]
2,87 equal: Goal Reached
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
19,
45,
8,
2
] | 58 | [
"19+45=64",
"8-2=6",
"64-6=58"
] | Current State: 58:[19, 45, 8, 2], Operations: []
Exploring Operation: 19+45=64, Resulting Numbers: [8, 2, 64]
Generated Node #2: [8, 2, 64] from Operation: 19+45=64
Current State: 58:[8, 2, 64], Operations: ['19+45=64']
Exploring Operation: 8-2=6, Resulting Numbers: [64, 6]
Generated Node #3: [64, 6] from Operation: 8-2=6
Current State: 58:[64, 6], Operations: ['19+45=64', '8-2=6']
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
69,
77,
61,
75
] | 96 | [
"75-69=6",
"77-61=16",
"6*16=96"
] | Current State: 96:[69, 77, 61, 75], Operations: []
Exploring Operation: 75-69=6, Resulting Numbers: [77, 61, 6]
Generated Node #2: [77, 61, 6] from Operation: 75-69=6
Current State: 96:[77, 61, 6], Operations: ['75-69=6']
Exploring Operation: 77-61=16, Resulting Numbers: [6, 16]
Generated Node #3: [6, 16] from Operation: 77-61=16
Current State: 96:[6, 16], Operations: ['75-69=6', '77-61=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
37,
25,
12,
59
] | 15 | [
"37+25=62",
"59-12=47",
"62-47=15"
] | Current State: 15:[37, 25, 12, 59], Operations: []
Exploring Operation: 37+25=62, Resulting Numbers: [12, 59, 62]
Generated Node #2: [12, 59, 62] from Operation: 37+25=62
Current State: 15:[12, 59, 62], Operations: ['37+25=62']
Exploring Operation: 59-12=47, Resulting Numbers: [62, 47]
Generated Node #3: [62, 47] from Operation: 59-12=47
Current State: 15:[62, 47], Operations: ['37+25=62', '59-12=47']
Exploring Operation: 62-47=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
39,
66,
69,
88
] | 52 | [
"39+66=105",
"69+88=157",
"157-105=52"
] | Current State: 52:[39, 66, 69, 88], Operations: []
Exploring Operation: 39+66=105, Resulting Numbers: [69, 88, 105]
Generated Node #2: [69, 88, 105] from Operation: 39+66=105
Current State: 52:[69, 88, 105], Operations: ['39+66=105']
Exploring Operation: 69+88=157, Resulting Numbers: [105, 157]
Generated Node #3: [105, 157] from Operation: 69+88=157
Current State: 52:[105, 157], Operations: ['39+66=105', '69+88=157']
Exploring Operation: 157-105=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
2,
40,
25,
33
] | 28 | [
"40/2=20",
"33-25=8",
"20+8=28"
] | Current State: 28:[2, 40, 25, 33], Operations: []
Exploring Operation: 40/2=20, Resulting Numbers: [25, 33, 20]
Generated Node #2: [25, 33, 20] from Operation: 40/2=20
Current State: 28:[25, 33, 20], Operations: ['40/2=20']
Exploring Operation: 33-25=8, Resulting Numbers: [20, 8]
Generated Node #3: [20, 8] from Operation: 33-25=8
Current State: 28:[20, 8], Operations: ['40/2=20', '33-25=8']
Exploring Operation: 20+8=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
8,
61,
70,
62
] | 61 | [
"8+61=69",
"70-62=8",
"69-8=61"
] | Current State: 61:[8, 61, 70, 62], Operations: []
Exploring Operation: 8+61=69, Resulting Numbers: [70, 62, 69]
Generated Node #2: [70, 62, 69] from Operation: 8+61=69
Current State: 61:[70, 62, 69], Operations: ['8+61=69']
Exploring Operation: 70-62=8, Resulting Numbers: [69, 8]
Generated Node #3: [69, 8] from Operation: 70-62=8
Current State: 61:[69, 8], Operations: ['8+61=69', '70-62=8']
Exploring Operation: 69-8=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
71,
19,
46,
45
] | 52 | [
"71-19=52",
"46-45=1",
"52*1=52"
] | Current State: 52:[71, 19, 46, 45], Operations: []
Exploring Operation: 71-19=52, Resulting Numbers: [46, 45, 52]
Generated Node #2: [46, 45, 52] from Operation: 71-19=52
Current State: 52:[46, 45, 52], Operations: ['71-19=52']
Exploring Operation: 46-45=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 46-45=1
Current State: 52:[52, 1], Operations: ['71-19=52', '46-45=1']
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
92,
51,
19,
94
] | 30 | [
"92+51=143",
"19+94=113",
"143-113=30"
] | Current State: 30:[92, 51, 19, 94], Operations: []
Exploring Operation: 92+51=143, Resulting Numbers: [19, 94, 143]
Generated Node #2: [19, 94, 143] from Operation: 92+51=143
Current State: 30:[19, 94, 143], Operations: ['92+51=143']
Exploring Operation: 19+94=113, Resulting Numbers: [143, 113]
Generated Node #3: [143, 113] from Operation: 19+94=113
Current State: 30:[143, 113], Operations: ['92+51=143', '19+94=113']
Exploring Operation: 143-113=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
62,
48,
10,
83
] | 59 | [
"62-48=14",
"83-10=73",
"73-14=59"
] | Current State: 59:[62, 48, 10, 83], Operations: []
Exploring Operation: 62-48=14, Resulting Numbers: [10, 83, 14]
Generated Node #2: [10, 83, 14] from Operation: 62-48=14
Current State: 59:[10, 83, 14], Operations: ['62-48=14']
Exploring Operation: 83-10=73, Resulting Numbers: [14, 73]
Generated Node #3: [14, 73] from Operation: 83-10=73
Current State: 59:[14, 73], Operations: ['62-48=14', '83-10=73']
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
6,
60,
43,
41
] | 24 | [
"60+43=103",
"41+103=144",
"144/6=24"
] | Current State: 24:[6, 60, 43, 41], Operations: []
Exploring Operation: 60+43=103, Resulting Numbers: [6, 41, 103]
Generated Node #2: [6, 41, 103] from Operation: 60+43=103
Current State: 24:[6, 41, 103], Operations: ['60+43=103']
Exploring Operation: 41+103=144, Resulting Numbers: [6, 144]
Generated Node #3: [6, 144] from Operation: 41+103=144
Current State: 24:[6, 144], Operations: ['60+43=103', '41+103=144']
Exploring Operation: 144/6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
76,
79,
72,
59
] | 24 | [
"76+79=155",
"72+59=131",
"155-131=24"
] | Current State: 24:[76, 79, 72, 59], Operations: []
Exploring Operation: 76+79=155, Resulting Numbers: [72, 59, 155]
Generated Node #2: [72, 59, 155] from Operation: 76+79=155
Current State: 24:[72, 59, 155], Operations: ['76+79=155']
Exploring Operation: 72+59=131, Resulting Numbers: [155, 131]
Generated Node #3: [155, 131] from Operation: 72+59=131
Current State: 24:[155, 131], Operations: ['76+79=155', '72+59=131']
Exploring Operation: 155-131=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
32,
70,
35,
76
] | 22 | [
"76-32=44",
"70/35=2",
"44/2=22"
] | Current State: 22:[32, 70, 35, 76], Operations: []
Exploring Operation: 76-32=44, Resulting Numbers: [70, 35, 44]
Generated Node #2: [70, 35, 44] from Operation: 76-32=44
Current State: 22:[70, 35, 44], Operations: ['76-32=44']
Exploring Operation: 70/35=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 70/35=2
Current State: 22:[44, 2], Operations: ['76-32=44', '70/35=2']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
94,
59,
94,
70
] | 92 | [
"94-59=35",
"70/35=2",
"94-2=92"
] | Current State: 92:[94, 59, 94, 70], Operations: []
Exploring Operation: 94-59=35, Resulting Numbers: [70, 35]
Generated Node #2: [70, 35] from Operation: 94-59=35
Current State: 92:[70, 35], Operations: ['94-59=35']
Exploring Operation: 70/35=2, Resulting Numbers: [2]
2,92 equal: Goal Reached
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
68,
77,
86,
35
] | 60 | [
"77-68=9",
"86-35=51",
"9+51=60"
] | Current State: 60:[68, 77, 86, 35], Operations: []
Exploring Operation: 77-68=9, Resulting Numbers: [86, 35, 9]
Generated Node #2: [86, 35, 9] from Operation: 77-68=9
Current State: 60:[86, 35, 9], Operations: ['77-68=9']
Exploring Operation: 86-35=51, Resulting Numbers: [9, 51]
Generated Node #3: [9, 51] from Operation: 86-35=51
Current State: 60:[9, 51], Operations: ['77-68=9', '86-35=51']
Exploring Operation: 9+51=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
3,
83,
8,
92
] | 75 | [
"92-83=9",
"8*9=72",
"3+72=75"
] | Current State: 75:[3, 83, 8, 92], Operations: []
Exploring Operation: 92-83=9, Resulting Numbers: [3, 8, 9]
Generated Node #2: [3, 8, 9] from Operation: 92-83=9
Current State: 75:[3, 8, 9], Operations: ['92-83=9']
Exploring Operation: 8*9=72, Resulting Numbers: [3, 72]
Generated Node #3: [3, 72] from Operation: 8*9=72
Current State: 75:[3, 72], Operations: ['92-83=9', '8*9=72']
Exploring Operation: 3+72=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
37,
60,
18,
9
] | 14 | [
"60-37=23",
"18-9=9",
"23-9=14"
] | Current State: 14:[37, 60, 18, 9], Operations: []
Exploring Operation: 60-37=23, Resulting Numbers: [18, 9, 23]
Generated Node #2: [18, 9, 23] from Operation: 60-37=23
Current State: 14:[18, 9, 23], Operations: ['60-37=23']
Exploring Operation: 18-9=9, Resulting Numbers: [23, 9]
Generated Node #3: [23, 9] from Operation: 18-9=9
Current State: 14:[23, 9], Operations: ['60-37=23', '18-9=9']
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
92,
5,
30,
99
] | 28 | [
"92+5=97",
"99-30=69",
"97-69=28"
] | Current State: 28:[92, 5, 30, 99], Operations: []
Exploring Operation: 92+5=97, Resulting Numbers: [30, 99, 97]
Generated Node #2: [30, 99, 97] from Operation: 92+5=97
Current State: 28:[30, 99, 97], Operations: ['92+5=97']
Exploring Operation: 99-30=69, Resulting Numbers: [97, 69]
Generated Node #3: [97, 69] from Operation: 99-30=69
Current State: 28:[97, 69], Operations: ['92+5=97', '99-30=69']
Exploring Operation: 97-69=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
11,
78,
78,
72
] | 61 | [
"11+78=89",
"78+72=150",
"150-89=61"
] | Current State: 61:[11, 78, 78, 72], Operations: []
Exploring Operation: 11+78=89, Resulting Numbers: [72, 89]
Generated Node #2: [72, 89] from Operation: 11+78=89
Current State: 61:[72, 89], Operations: ['11+78=89']
Exploring Operation: 78+72=150, Resulting Numbers: [89, 150]
Generated Node #3: [89, 150] from Operation: 78+72=150
Current State: 61:[89, 150], Operations: ['11+78=89', '78+72=150']
Exploring Operation: 150-89=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
4,
13,
89,
71
] | 27 | [
"13-4=9",
"89-71=18",
"9+18=27"
] | Current State: 27:[4, 13, 89, 71], Operations: []
Exploring Operation: 13-4=9, Resulting Numbers: [89, 71, 9]
Generated Node #2: [89, 71, 9] from Operation: 13-4=9
Current State: 27:[89, 71, 9], Operations: ['13-4=9']
Exploring Operation: 89-71=18, Resulting Numbers: [9, 18]
Generated Node #3: [9, 18] from Operation: 89-71=18
Current State: 27:[9, 18], Operations: ['13-4=9', '89-71=18']
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
99,
54,
48,
67
] | 38 | [
"99+54=153",
"48+67=115",
"153-115=38"
] | Current State: 38:[99, 54, 48, 67], Operations: []
Exploring Operation: 99+54=153, Resulting Numbers: [48, 67, 153]
Generated Node #2: [48, 67, 153] from Operation: 99+54=153
Current State: 38:[48, 67, 153], Operations: ['99+54=153']
Exploring Operation: 48+67=115, Resulting Numbers: [153, 115]
Generated Node #3: [153, 115] from Operation: 48+67=115
Current State: 38:[153, 115], Operations: ['99+54=153', '48+67=115']
Exploring Operation: 153-115=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
41,
47,
3,
55
] | 58 | [
"47-41=6",
"55-3=52",
"6+52=58"
] | Current State: 58:[41, 47, 3, 55], Operations: []
Exploring Operation: 47-41=6, Resulting Numbers: [3, 55, 6]
Generated Node #2: [3, 55, 6] from Operation: 47-41=6
Current State: 58:[3, 55, 6], Operations: ['47-41=6']
Exploring Operation: 55-3=52, Resulting Numbers: [6, 52]
Generated Node #3: [6, 52] from Operation: 55-3=52
Current State: 58:[6, 52], Operations: ['47-41=6', '55-3=52']
Exploring Operation: 6+52=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
25,
45,
25,
12
] | 58 | [
"25/25=1",
"45+12=57",
"1+57=58"
] | Current State: 58:[25, 45, 25, 12], Operations: []
Exploring Operation: 25/25=1, Resulting Numbers: [45, 12, 1]
Generated Node #2: [45, 12, 1] from Operation: 25/25=1
Current State: 58:[45, 12, 1], Operations: ['25/25=1']
Exploring Operation: 45+12=57, Resulting Numbers: [1, 57]
Generated Node #3: [1, 57] from Operation: 45+12=57
Current State: 58:[1, 57], Operations: ['25/25=1', '45+12=57']
Exploring Operation: 1+57=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
37,
80,
48,
2
] | 90 | [
"37+48=85",
"2*85=170",
"170-80=90"
] | Current State: 90:[37, 80, 48, 2], Operations: []
Exploring Operation: 37+48=85, Resulting Numbers: [80, 2, 85]
Generated Node #2: [80, 2, 85] from Operation: 37+48=85
Current State: 90:[80, 2, 85], Operations: ['37+48=85']
Exploring Operation: 2*85=170, Resulting Numbers: [80, 170]
Generated Node #3: [80, 170] from Operation: 2*85=170
Current State: 90:[80, 170], Operations: ['37+48=85', '2*85=170']
Exploring Operation: 170-80=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
22,
23,
38,
43
] | 50 | [
"22+23=45",
"43-38=5",
"45+5=50"
] | Current State: 50:[22, 23, 38, 43], Operations: []
Exploring Operation: 22+23=45, Resulting Numbers: [38, 43, 45]
Generated Node #2: [38, 43, 45] from Operation: 22+23=45
Current State: 50:[38, 43, 45], Operations: ['22+23=45']
Exploring Operation: 43-38=5, Resulting Numbers: [45, 5]
Generated Node #3: [45, 5] from Operation: 43-38=5
Current State: 50:[45, 5], Operations: ['22+23=45', '43-38=5']
Exploring Operation: 45+5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
28,
57,
10,
5
] | 71 | [
"28*5=140",
"140/10=14",
"57+14=71"
] | Current State: 71:[28, 57, 10, 5], Operations: []
Exploring Operation: 28*5=140, Resulting Numbers: [57, 10, 140]
Generated Node #2: [57, 10, 140] from Operation: 28*5=140
Current State: 71:[57, 10, 140], Operations: ['28*5=140']
Exploring Operation: 140/10=14, Resulting Numbers: [57, 14]
Generated Node #3: [57, 14] from Operation: 140/10=14
Current State: 71:[57, 14], Operations: ['28*5=140', '140/10=14']
Exploring Operation: 57+14=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
92,
21,
8,
89
] | 87 | [
"92-89=3",
"21+8=29",
"3*29=87"
] | Current State: 87:[92, 21, 8, 89], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [21, 8, 3]
Generated Node #2: [21, 8, 3] from Operation: 92-89=3
Current State: 87:[21, 8, 3], Operations: ['92-89=3']
Exploring Operation: 21+8=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 21+8=29
Current State: 87:[3, 29], Operations: ['92-89=3', '21+8=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
29,
7,
44,
71
] | 73 | [
"29-7=22",
"44/22=2",
"71+2=73"
] | Current State: 73:[29, 7, 44, 71], Operations: []
Exploring Operation: 29-7=22, Resulting Numbers: [44, 71, 22]
Generated Node #2: [44, 71, 22] from Operation: 29-7=22
Current State: 73:[44, 71, 22], Operations: ['29-7=22']
Exploring Operation: 44/22=2, Resulting Numbers: [71, 2]
Generated Node #3: [71, 2] from Operation: 44/22=2
Current State: 73:[71, 2], Operations: ['29-7=22', '44/22=2']
Exploring Operation: 71+2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
78,
18,
75,
27
] | 28 | [
"18*75=1350",
"1350/27=50",
"78-50=28"
] | Current State: 28:[78, 18, 75, 27], Operations: []
Exploring Operation: 18*75=1350, Resulting Numbers: [78, 27, 1350]
Generated Node #2: [78, 27, 1350] from Operation: 18*75=1350
Current State: 28:[78, 27, 1350], Operations: ['18*75=1350']
Exploring Operation: 1350/27=50, Resulting Numbers: [78, 50]
Generated Node #3: [78, 50] from Operation: 1350/27=50
Current State: 28:[78, 50], Operations: ['18*75=1350', '1350/27=50']
Exploring Operation: 78-50=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
75,
77,
35,
22
] | 82 | [
"75+35=110",
"110/22=5",
"77+5=82"
] | Current State: 82:[75, 77, 35, 22], Operations: []
Exploring Operation: 75+35=110, Resulting Numbers: [77, 22, 110]
Generated Node #2: [77, 22, 110] from Operation: 75+35=110
Current State: 82:[77, 22, 110], Operations: ['75+35=110']
Exploring Operation: 110/22=5, Resulting Numbers: [77, 5]
Generated Node #3: [77, 5] from Operation: 110/22=5
Current State: 82:[77, 5], Operations: ['75+35=110', '110/22=5']
Exploring Operation: 77+5=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
57,
84,
74,
49
] | 18 | [
"57+84=141",
"74+49=123",
"141-123=18"
] | Current State: 18:[57, 84, 74, 49], Operations: []
Exploring Operation: 57+84=141, Resulting Numbers: [74, 49, 141]
Generated Node #2: [74, 49, 141] from Operation: 57+84=141
Current State: 18:[74, 49, 141], Operations: ['57+84=141']
Exploring Operation: 74+49=123, Resulting Numbers: [141, 123]
Generated Node #3: [141, 123] from Operation: 74+49=123
Current State: 18:[141, 123], Operations: ['57+84=141', '74+49=123']
Exploring Operation: 141-123=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
7,
60,
11,
55
] | 42 | [
"60-11=49",
"55-49=6",
"7*6=42"
] | Current State: 42:[7, 60, 11, 55], Operations: []
Exploring Operation: 60-11=49, Resulting Numbers: [7, 55, 49]
Generated Node #2: [7, 55, 49] from Operation: 60-11=49
Current State: 42:[7, 55, 49], Operations: ['60-11=49']
Exploring Operation: 55-49=6, Resulting Numbers: [7, 6]
Generated Node #3: [7, 6] from Operation: 55-49=6
Current State: 42:[7, 6], Operations: ['60-11=49', '55-49=6']
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
35,
8,
53,
67
] | 13 | [
"35-8=27",
"67-53=14",
"27-14=13"
] | Current State: 13:[35, 8, 53, 67], Operations: []
Exploring Operation: 35-8=27, Resulting Numbers: [53, 67, 27]
Generated Node #2: [53, 67, 27] from Operation: 35-8=27
Current State: 13:[53, 67, 27], Operations: ['35-8=27']
Exploring Operation: 67-53=14, Resulting Numbers: [27, 14]
Generated Node #3: [27, 14] from Operation: 67-53=14
Current State: 13:[27, 14], Operations: ['35-8=27', '67-53=14']
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
42,
95,
65,
73
] | 69 | [
"95+73=168",
"168/42=4",
"65+4=69"
] | Current State: 69:[42, 95, 65, 73], Operations: []
Exploring Operation: 95+73=168, Resulting Numbers: [42, 65, 168]
Generated Node #2: [42, 65, 168] from Operation: 95+73=168
Current State: 69:[42, 65, 168], Operations: ['95+73=168']
Exploring Operation: 168/42=4, Resulting Numbers: [65, 4]
Generated Node #3: [65, 4] from Operation: 168/42=4
Current State: 69:[65, 4], Operations: ['95+73=168', '168/42=4']
Exploring Operation: 65+4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
85,
64,
75,
42
] | 96 | [
"85-64=21",
"75+42=117",
"117-21=96"
] | Current State: 96:[85, 64, 75, 42], Operations: []
Exploring Operation: 85-64=21, Resulting Numbers: [75, 42, 21]
Generated Node #2: [75, 42, 21] from Operation: 85-64=21
Current State: 96:[75, 42, 21], Operations: ['85-64=21']
Exploring Operation: 75+42=117, Resulting Numbers: [21, 117]
Generated Node #3: [21, 117] from Operation: 75+42=117
Current State: 96:[21, 117], Operations: ['85-64=21', '75+42=117']
Exploring Operation: 117-21=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
1,
26,
52,
54
] | 25 | [
"1+26=27",
"54-52=2",
"27-2=25"
] | Current State: 25:[1, 26, 52, 54], Operations: []
Exploring Operation: 1+26=27, Resulting Numbers: [52, 54, 27]
Generated Node #2: [52, 54, 27] from Operation: 1+26=27
Current State: 25:[52, 54, 27], Operations: ['1+26=27']
Exploring Operation: 54-52=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 54-52=2
Current State: 25:[27, 2], Operations: ['1+26=27', '54-52=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
35,
41,
56,
39
] | 89 | [
"41-35=6",
"56+39=95",
"95-6=89"
] | Current State: 89:[35, 41, 56, 39], Operations: []
Exploring Operation: 41-35=6, Resulting Numbers: [56, 39, 6]
Generated Node #2: [56, 39, 6] from Operation: 41-35=6
Current State: 89:[56, 39, 6], Operations: ['41-35=6']
Exploring Operation: 56+39=95, Resulting Numbers: [6, 95]
Generated Node #3: [6, 95] from Operation: 56+39=95
Current State: 89:[6, 95], Operations: ['41-35=6', '56+39=95']
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
76,
86,
84,
84
] | 76 | [
"84-84=0",
"86*0=0",
"76+0=76"
] | Current State: 76:[76, 86, 84, 84], Operations: []
Exploring Operation: 84-84=0, Resulting Numbers: [76, 86, 0]
Generated Node #2: [76, 86, 0] from Operation: 84-84=0
Current State: 76:[76, 86, 0], Operations: ['84-84=0']
Exploring Operation: 86*0=0, Resulting Numbers: [76, 0]
Generated Node #3: [76, 0] from Operation: 86*0=0
Current State: 76:[76, 0], Operations: ['84-84=0', '86*0=0']
Exploring Operation: 76+0=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
40,
10,
67,
4
] | 68 | [
"40+10=50",
"67-50=17",
"4*17=68"
] | Current State: 68:[40, 10, 67, 4], Operations: []
Exploring Operation: 40+10=50, Resulting Numbers: [67, 4, 50]
Generated Node #2: [67, 4, 50] from Operation: 40+10=50
Current State: 68:[67, 4, 50], Operations: ['40+10=50']
Exploring Operation: 67-50=17, Resulting Numbers: [4, 17]
Generated Node #3: [4, 17] from Operation: 67-50=17
Current State: 68:[4, 17], Operations: ['40+10=50', '67-50=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
26,
15,
9,
84
] | 72 | [
"15-9=6",
"26*6=156",
"156-84=72"
] | Current State: 72:[26, 15, 9, 84], Operations: []
Exploring Operation: 15-9=6, Resulting Numbers: [26, 84, 6]
Generated Node #2: [26, 84, 6] from Operation: 15-9=6
Current State: 72:[26, 84, 6], Operations: ['15-9=6']
Exploring Operation: 26*6=156, Resulting Numbers: [84, 156]
Generated Node #3: [84, 156] from Operation: 26*6=156
Current State: 72:[84, 156], Operations: ['15-9=6', '26*6=156']
Exploring Operation: 156-84=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
52,
84,
66,
36
] | 93 | [
"52*66=3432",
"3432-84=3348",
"3348/36=93"
] | Current State: 93:[52, 84, 66, 36], Operations: []
Exploring Operation: 52*66=3432, Resulting Numbers: [84, 36, 3432]
Generated Node #2: [84, 36, 3432] from Operation: 52*66=3432
Current State: 93:[84, 36, 3432], Operations: ['52*66=3432']
Exploring Operation: 3432-84=3348, Resulting Numbers: [36, 3348]
Generated Node #3: [36, 3348] from Operation: 3432-84=3348
Current State: 93:[36, 3348], Operations: ['52*66=3432', '3432-84=3348']
Exploring Operation: 3348/36=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
61,
86,
3,
73
] | 22 | [
"86-73=13",
"3*13=39",
"61-39=22"
] | Current State: 22:[61, 86, 3, 73], Operations: []
Exploring Operation: 86-73=13, Resulting Numbers: [61, 3, 13]
Generated Node #2: [61, 3, 13] from Operation: 86-73=13
Current State: 22:[61, 3, 13], Operations: ['86-73=13']
Exploring Operation: 3*13=39, Resulting Numbers: [61, 39]
Generated Node #3: [61, 39] from Operation: 3*13=39
Current State: 22:[61, 39], Operations: ['86-73=13', '3*13=39']
Exploring Operation: 61-39=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
15,
45,
30,
51
] | 94 | [
"30/15=2",
"45+51=96",
"96-2=94"
] | Current State: 94:[15, 45, 30, 51], Operations: []
Exploring Operation: 30/15=2, Resulting Numbers: [45, 51, 2]
Generated Node #2: [45, 51, 2] from Operation: 30/15=2
Current State: 94:[45, 51, 2], Operations: ['30/15=2']
Exploring Operation: 45+51=96, Resulting Numbers: [2, 96]
Generated Node #3: [2, 96] from Operation: 45+51=96
Current State: 94:[2, 96], Operations: ['30/15=2', '45+51=96']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
95,
66,
66,
3
] | 98 | [
"95+66=161",
"66-3=63",
"161-63=98"
] | Current State: 98:[95, 66, 66, 3], Operations: []
Exploring Operation: 95+66=161, Resulting Numbers: [3, 161]
Generated Node #2: [3, 161] from Operation: 95+66=161
Current State: 98:[3, 161], Operations: ['95+66=161']
Exploring Operation: 66-3=63, Resulting Numbers: [161, 63]
Generated Node #3: [161, 63] from Operation: 66-3=63
Current State: 98:[161, 63], Operations: ['95+66=161', '66-3=63']
Exploring Operation: 161-63=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
9,
45,
81,
80
] | 85 | [
"9*45=405",
"405/81=5",
"80+5=85"
] | Current State: 85:[9, 45, 81, 80], Operations: []
Exploring Operation: 9*45=405, Resulting Numbers: [81, 80, 405]
Generated Node #2: [81, 80, 405] from Operation: 9*45=405
Current State: 85:[81, 80, 405], Operations: ['9*45=405']
Exploring Operation: 405/81=5, Resulting Numbers: [80, 5]
Generated Node #3: [80, 5] from Operation: 405/81=5
Current State: 85:[80, 5], Operations: ['9*45=405', '405/81=5']
Exploring Operation: 80+5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
80,
44,
88,
6
] | 33 | [
"88-80=8",
"44*6=264",
"264/8=33"
] | Current State: 33:[80, 44, 88, 6], Operations: []
Exploring Operation: 88-80=8, Resulting Numbers: [44, 6, 8]
Generated Node #2: [44, 6, 8] from Operation: 88-80=8
Current State: 33:[44, 6, 8], Operations: ['88-80=8']
Exploring Operation: 44*6=264, Resulting Numbers: [8, 264]
Generated Node #3: [8, 264] from Operation: 44*6=264
Current State: 33:[8, 264], Operations: ['88-80=8', '44*6=264']
Exploring Operation: 264/8=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
60,
1,
73,
83
] | 95 | [
"60+1=61",
"73+83=156",
"156-61=95"
] | Current State: 95:[60, 1, 73, 83], Operations: []
Exploring Operation: 60+1=61, Resulting Numbers: [73, 83, 61]
Generated Node #2: [73, 83, 61] from Operation: 60+1=61
Current State: 95:[73, 83, 61], Operations: ['60+1=61']
Exploring Operation: 73+83=156, Resulting Numbers: [61, 156]
Generated Node #3: [61, 156] from Operation: 73+83=156
Current State: 95:[61, 156], Operations: ['60+1=61', '73+83=156']
Exploring Operation: 156-61=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
90,
57,
3,
1
] | 99 | [
"90-57=33",
"3*1=3",
"33*3=99"
] | Current State: 99:[90, 57, 3, 1], Operations: []
Exploring Operation: 90-57=33, Resulting Numbers: [3, 1, 33]
Generated Node #2: [3, 1, 33] from Operation: 90-57=33
Current State: 99:[3, 1, 33], Operations: ['90-57=33']
Exploring Operation: 3*1=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 3*1=3
Current State: 99:[33, 3], Operations: ['90-57=33', '3*1=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
98,
58,
70,
84
] | 54 | [
"98-58=40",
"84-70=14",
"40+14=54"
] | Current State: 54:[98, 58, 70, 84], Operations: []
Exploring Operation: 98-58=40, Resulting Numbers: [70, 84, 40]
Generated Node #2: [70, 84, 40] from Operation: 98-58=40
Current State: 54:[70, 84, 40], Operations: ['98-58=40']
Exploring Operation: 84-70=14, Resulting Numbers: [40, 14]
Generated Node #3: [40, 14] from Operation: 84-70=14
Current State: 54:[40, 14], Operations: ['98-58=40', '84-70=14']
Exploring Operation: 40+14=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
9,
58,
24,
37
] | 36 | [
"58-9=49",
"37-24=13",
"49-13=36"
] | Current State: 36:[9, 58, 24, 37], Operations: []
Exploring Operation: 58-9=49, Resulting Numbers: [24, 37, 49]
Generated Node #2: [24, 37, 49] from Operation: 58-9=49
Current State: 36:[24, 37, 49], Operations: ['58-9=49']
Exploring Operation: 37-24=13, Resulting Numbers: [49, 13]
Generated Node #3: [49, 13] from Operation: 37-24=13
Current State: 36:[49, 13], Operations: ['58-9=49', '37-24=13']
Exploring Operation: 49-13=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
16,
94,
27,
6
] | 28 | [
"27-16=11",
"6*11=66",
"94-66=28"
] | Current State: 28:[16, 94, 27, 6], Operations: []
Exploring Operation: 27-16=11, Resulting Numbers: [94, 6, 11]
Generated Node #2: [94, 6, 11] from Operation: 27-16=11
Current State: 28:[94, 6, 11], Operations: ['27-16=11']
Exploring Operation: 6*11=66, Resulting Numbers: [94, 66]
Generated Node #3: [94, 66] from Operation: 6*11=66
Current State: 28:[94, 66], Operations: ['27-16=11', '6*11=66']
Exploring Operation: 94-66=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
72,
30,
78,
65
] | 90 | [
"72*65=4680",
"4680/78=60",
"30+60=90"
] | Current State: 90:[72, 30, 78, 65], Operations: []
Exploring Operation: 72*65=4680, Resulting Numbers: [30, 78, 4680]
Generated Node #2: [30, 78, 4680] from Operation: 72*65=4680
Current State: 90:[30, 78, 4680], Operations: ['72*65=4680']
Exploring Operation: 4680/78=60, Resulting Numbers: [30, 60]
Generated Node #3: [30, 60] from Operation: 4680/78=60
Current State: 90:[30, 60], Operations: ['72*65=4680', '4680/78=60']
Exploring Operation: 30+60=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
21,
71,
18,
22
] | 89 | [
"22-21=1",
"71+18=89",
"1*89=89"
] | Current State: 89:[21, 71, 18, 22], Operations: []
Exploring Operation: 22-21=1, Resulting Numbers: [71, 18, 1]
Generated Node #2: [71, 18, 1] from Operation: 22-21=1
Current State: 89:[71, 18, 1], Operations: ['22-21=1']
Exploring Operation: 71+18=89, Resulting Numbers: [1, 89]
Generated Node #3: [1, 89] from Operation: 71+18=89
Current State: 89:[1, 89], Operations: ['22-21=1', '71+18=89']
Exploring Operation: 1*89=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
92,
97,
63,
90
] | 83 | [
"97-90=7",
"63/7=9",
"92-9=83"
] | Current State: 83:[92, 97, 63, 90], Operations: []
Exploring Operation: 97-90=7, Resulting Numbers: [92, 63, 7]
Generated Node #2: [92, 63, 7] from Operation: 97-90=7
Current State: 83:[92, 63, 7], Operations: ['97-90=7']
Exploring Operation: 63/7=9, Resulting Numbers: [92, 9]
Generated Node #3: [92, 9] from Operation: 63/7=9
Current State: 83:[92, 9], Operations: ['97-90=7', '63/7=9']
Exploring Operation: 92-9=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
28,
90,
57,
34
] | 18 | [
"57-28=29",
"34-29=5",
"90/5=18"
] | Current State: 18:[28, 90, 57, 34], Operations: []
Exploring Operation: 57-28=29, Resulting Numbers: [90, 34, 29]
Generated Node #2: [90, 34, 29] from Operation: 57-28=29
Current State: 18:[90, 34, 29], Operations: ['57-28=29']
Exploring Operation: 34-29=5, Resulting Numbers: [90, 5]
Generated Node #3: [90, 5] from Operation: 34-29=5
Current State: 18:[90, 5], Operations: ['57-28=29', '34-29=5']
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
2,
99,
71,
96
] | 22 | [
"2*96=192",
"99+71=170",
"192-170=22"
] | Current State: 22:[2, 99, 71, 96], Operations: []
Exploring Operation: 2*96=192, Resulting Numbers: [99, 71, 192]
Generated Node #2: [99, 71, 192] from Operation: 2*96=192
Current State: 22:[99, 71, 192], Operations: ['2*96=192']
Exploring Operation: 99+71=170, Resulting Numbers: [192, 170]
Generated Node #3: [192, 170] from Operation: 99+71=170
Current State: 22:[192, 170], Operations: ['2*96=192', '99+71=170']
Exploring Operation: 192-170=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
34,
52,
48,
14
] | 24 | [
"34+52=86",
"48+14=62",
"86-62=24"
] | Current State: 24:[34, 52, 48, 14], Operations: []
Exploring Operation: 34+52=86, Resulting Numbers: [48, 14, 86]
Generated Node #2: [48, 14, 86] from Operation: 34+52=86
Current State: 24:[48, 14, 86], Operations: ['34+52=86']
Exploring Operation: 48+14=62, Resulting Numbers: [86, 62]
Generated Node #3: [86, 62] from Operation: 48+14=62
Current State: 24:[86, 62], Operations: ['34+52=86', '48+14=62']
Exploring Operation: 86-62=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
84,
12,
22,
83
] | 68 | [
"84/12=7",
"83-22=61",
"7+61=68"
] | Current State: 68:[84, 12, 22, 83], Operations: []
Exploring Operation: 84/12=7, Resulting Numbers: [22, 83, 7]
Generated Node #2: [22, 83, 7] from Operation: 84/12=7
Current State: 68:[22, 83, 7], Operations: ['84/12=7']
Exploring Operation: 83-22=61, Resulting Numbers: [7, 61]
Generated Node #3: [7, 61] from Operation: 83-22=61
Current State: 68:[7, 61], Operations: ['84/12=7', '83-22=61']
Exploring Operation: 7+61=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
80,
48,
7,
3
] | 42 | [
"80-48=32",
"7+3=10",
"32+10=42"
] | Current State: 42:[80, 48, 7, 3], Operations: []
Exploring Operation: 80-48=32, Resulting Numbers: [7, 3, 32]
Generated Node #2: [7, 3, 32] from Operation: 80-48=32
Current State: 42:[7, 3, 32], Operations: ['80-48=32']
Exploring Operation: 7+3=10, Resulting Numbers: [32, 10]
Generated Node #3: [32, 10] from Operation: 7+3=10
Current State: 42:[32, 10], Operations: ['80-48=32', '7+3=10']
Exploring Operation: 32+10=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
40,
14,
3,
26
] | 83 | [
"40+14=54",
"3+26=29",
"54+29=83"
] | Current State: 83:[40, 14, 3, 26], Operations: []
Exploring Operation: 40+14=54, Resulting Numbers: [3, 26, 54]
Generated Node #2: [3, 26, 54] from Operation: 40+14=54
Current State: 83:[3, 26, 54], Operations: ['40+14=54']
Exploring Operation: 3+26=29, Resulting Numbers: [54, 29]
Generated Node #3: [54, 29] from Operation: 3+26=29
Current State: 83:[54, 29], Operations: ['40+14=54', '3+26=29']
Exploring Operation: 54+29=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
91,
52,
99,
65
] | 96 | [
"91+65=156",
"156/52=3",
"99-3=96"
] | Current State: 96:[91, 52, 99, 65], Operations: []
Exploring Operation: 91+65=156, Resulting Numbers: [52, 99, 156]
Generated Node #2: [52, 99, 156] from Operation: 91+65=156
Current State: 96:[52, 99, 156], Operations: ['91+65=156']
Exploring Operation: 156/52=3, Resulting Numbers: [99, 3]
Generated Node #3: [99, 3] from Operation: 156/52=3
Current State: 96:[99, 3], Operations: ['91+65=156', '156/52=3']
Exploring Operation: 99-3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
68,
82,
2,
3
] | 30 | [
"68+82=150",
"2+3=5",
"150/5=30"
] | Current State: 30:[68, 82, 2, 3], Operations: []
Exploring Operation: 68+82=150, Resulting Numbers: [2, 3, 150]
Generated Node #2: [2, 3, 150] from Operation: 68+82=150
Current State: 30:[2, 3, 150], Operations: ['68+82=150']
Exploring Operation: 2+3=5, Resulting Numbers: [150, 5]
Generated Node #3: [150, 5] from Operation: 2+3=5
Current State: 30:[150, 5], Operations: ['68+82=150', '2+3=5']
Exploring Operation: 150/5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
32,
29,
38,
11
] | 67 | [
"38-29=9",
"11*9=99",
"99-32=67"
] | Current State: 67:[32, 29, 38, 11], Operations: []
Exploring Operation: 38-29=9, Resulting Numbers: [32, 11, 9]
Generated Node #2: [32, 11, 9] from Operation: 38-29=9
Current State: 67:[32, 11, 9], Operations: ['38-29=9']
Exploring Operation: 11*9=99, Resulting Numbers: [32, 99]
Generated Node #3: [32, 99] from Operation: 11*9=99
Current State: 67:[32, 99], Operations: ['38-29=9', '11*9=99']
Exploring Operation: 99-32=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
50,
18,
78,
49
] | 97 | [
"50+18=68",
"78-49=29",
"68+29=97"
] | Current State: 97:[50, 18, 78, 49], Operations: []
Exploring Operation: 50+18=68, Resulting Numbers: [78, 49, 68]
Generated Node #2: [78, 49, 68] from Operation: 50+18=68
Current State: 97:[78, 49, 68], Operations: ['50+18=68']
Exploring Operation: 78-49=29, Resulting Numbers: [68, 29]
Generated Node #3: [68, 29] from Operation: 78-49=29
Current State: 97:[68, 29], Operations: ['50+18=68', '78-49=29']
Exploring Operation: 68+29=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
60,
13,
1,
17
] | 63 | [
"60-13=47",
"17-1=16",
"47+16=63"
] | Current State: 63:[60, 13, 1, 17], Operations: []
Exploring Operation: 60-13=47, Resulting Numbers: [1, 17, 47]
Generated Node #2: [1, 17, 47] from Operation: 60-13=47
Current State: 63:[1, 17, 47], Operations: ['60-13=47']
Exploring Operation: 17-1=16, Resulting Numbers: [47, 16]
Generated Node #3: [47, 16] from Operation: 17-1=16
Current State: 63:[47, 16], Operations: ['60-13=47', '17-1=16']
Exploring Operation: 47+16=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
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