nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
57,
43,
35,
31
] | 18 | [
"57-43=14",
"35-31=4",
"14+4=18"
] | Current State: 18:[57, 43, 35, 31], Operations: []
Exploring Operation: 57-43=14, Resulting Numbers: [35, 31, 14]
Generated Node #2: [35, 31, 14] from Operation: 57-43=14
Current State: 18:[35, 31, 14], Operations: ['57-43=14']
Exploring Operation: 35-31=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 35-31=4
Current State: 18:[14, 4], Operations: ['57-43=14', '35-31=4']
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
9,
34,
6,
67
] | 47 | [
"9*6=54",
"34+67=101",
"101-54=47"
] | Current State: 47:[9, 34, 6, 67], Operations: []
Exploring Operation: 9*6=54, Resulting Numbers: [34, 67, 54]
Generated Node #2: [34, 67, 54] from Operation: 9*6=54
Current State: 47:[34, 67, 54], Operations: ['9*6=54']
Exploring Operation: 34+67=101, Resulting Numbers: [54, 101]
Generated Node #3: [54, 101] from Operation: 34+67=101
Current State: 47:[54, 101], Operations: ['9*6=54', '34+67=101']
Exploring Operation: 101-54=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
2,
20,
44,
6
] | 90 | [
"2*20=40",
"44+6=50",
"40+50=90"
] | Current State: 90:[2, 20, 44, 6], Operations: []
Exploring Operation: 2*20=40, Resulting Numbers: [44, 6, 40]
Generated Node #2: [44, 6, 40] from Operation: 2*20=40
Current State: 90:[44, 6, 40], Operations: ['2*20=40']
Exploring Operation: 44+6=50, Resulting Numbers: [40, 50]
Generated Node #3: [40, 50] from Operation: 44+6=50
Current State: 90:[40, 50], Operations: ['2*20=40', '44+6=50']
Exploring Operation: 40+50=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
40,
75,
20,
2
] | 53 | [
"75-40=35",
"20-2=18",
"35+18=53"
] | Current State: 53:[40, 75, 20, 2], Operations: []
Exploring Operation: 75-40=35, Resulting Numbers: [20, 2, 35]
Generated Node #2: [20, 2, 35] from Operation: 75-40=35
Current State: 53:[20, 2, 35], Operations: ['75-40=35']
Exploring Operation: 20-2=18, Resulting Numbers: [35, 18]
Generated Node #3: [35, 18] from Operation: 20-2=18
Current State: 53:[35, 18], Operations: ['75-40=35', '20-2=18']
Exploring Operation: 35+18=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
55,
16,
18,
33
] | 12 | [
"55-16=39",
"18+33=51",
"51-39=12"
] | Current State: 12:[55, 16, 18, 33], Operations: []
Exploring Operation: 55-16=39, Resulting Numbers: [18, 33, 39]
Generated Node #2: [18, 33, 39] from Operation: 55-16=39
Current State: 12:[18, 33, 39], Operations: ['55-16=39']
Exploring Operation: 18+33=51, Resulting Numbers: [39, 51]
Generated Node #3: [39, 51] from Operation: 18+33=51
Current State: 12:[39, 51], Operations: ['55-16=39', '18+33=51']
Exploring Operation: 51-39=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
32,
31,
66,
44
] | 79 | [
"32*66=2112",
"2112/44=48",
"31+48=79"
] | Current State: 79:[32, 31, 66, 44], Operations: []
Exploring Operation: 32*66=2112, Resulting Numbers: [31, 44, 2112]
Generated Node #2: [31, 44, 2112] from Operation: 32*66=2112
Current State: 79:[31, 44, 2112], Operations: ['32*66=2112']
Exploring Operation: 2112/44=48, Resulting Numbers: [31, 48]
Generated Node #3: [31, 48] from Operation: 2112/44=48
Current State: 79:[31, 48], Operations: ['32*66=2112', '2112/44=48']
Exploring Operation: 31+48=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
48,
35,
33,
3
] | 48 | [
"35-33=2",
"3-2=1",
"48*1=48"
] | Current State: 48:[48, 35, 33, 3], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [48, 3, 2]
Generated Node #2: [48, 3, 2] from Operation: 35-33=2
Current State: 48:[48, 3, 2], Operations: ['35-33=2']
Exploring Operation: 3-2=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 3-2=1
Current State: 48:[48, 1], Operations: ['35-33=2', '3-2=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
52,
91,
2,
5
] | 83 | [
"91-52=39",
"2*39=78",
"5+78=83"
] | Current State: 83:[52, 91, 2, 5], Operations: []
Exploring Operation: 91-52=39, Resulting Numbers: [2, 5, 39]
Generated Node #2: [2, 5, 39] from Operation: 91-52=39
Current State: 83:[2, 5, 39], Operations: ['91-52=39']
Exploring Operation: 2*39=78, Resulting Numbers: [5, 78]
Generated Node #3: [5, 78] from Operation: 2*39=78
Current State: 83:[5, 78], Operations: ['91-52=39', '2*39=78']
Exploring Operation: 5+78=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
84,
31,
16,
16
] | 83 | [
"84+31=115",
"16+16=32",
"115-32=83"
] | Current State: 83:[84, 31, 16, 16], Operations: []
Exploring Operation: 84+31=115, Resulting Numbers: [16, 16, 115]
Generated Node #2: [16, 16, 115] from Operation: 84+31=115
Current State: 83:[16, 16, 115], Operations: ['84+31=115']
Exploring Operation: 16+16=32, Resulting Numbers: [115, 32]
Generated Node #3: [115, 32] from Operation: 16+16=32
Current State: 83:[115, 32], Operations: ['84+31=115', '16+16=32']
Exploring Operation: 115-32=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
10,
61,
18,
46
] | 12 | [
"10*18=180",
"61-46=15",
"180/15=12"
] | Current State: 12:[10, 61, 18, 46], Operations: []
Exploring Operation: 10*18=180, Resulting Numbers: [61, 46, 180]
Generated Node #2: [61, 46, 180] from Operation: 10*18=180
Current State: 12:[61, 46, 180], Operations: ['10*18=180']
Exploring Operation: 61-46=15, Resulting Numbers: [180, 15]
Generated Node #3: [180, 15] from Operation: 61-46=15
Current State: 12:[180, 15], Operations: ['10*18=180', '61-46=15']
Exploring Operation: 180/15=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
79,
9,
1,
61
] | 10 | [
"79-9=70",
"61-1=60",
"70-60=10"
] | Current State: 10:[79, 9, 1, 61], Operations: []
Exploring Operation: 79-9=70, Resulting Numbers: [1, 61, 70]
Generated Node #2: [1, 61, 70] from Operation: 79-9=70
Current State: 10:[1, 61, 70], Operations: ['79-9=70']
Exploring Operation: 61-1=60, Resulting Numbers: [70, 60]
Generated Node #3: [70, 60] from Operation: 61-1=60
Current State: 10:[70, 60], Operations: ['79-9=70', '61-1=60']
Exploring Operation: 70-60=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
49,
30,
25,
98
] | 57 | [
"98/49=2",
"30+25=55",
"2+55=57"
] | Current State: 57:[49, 30, 25, 98], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [30, 25, 2]
Generated Node #2: [30, 25, 2] from Operation: 98/49=2
Current State: 57:[30, 25, 2], Operations: ['98/49=2']
Exploring Operation: 30+25=55, Resulting Numbers: [2, 55]
Generated Node #3: [2, 55] from Operation: 30+25=55
Current State: 57:[2, 55], Operations: ['98/49=2', '30+25=55']
Exploring Operation: 2+55=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
73,
33,
23,
71
] | 12 | [
"73+33=106",
"23+71=94",
"106-94=12"
] | Current State: 12:[73, 33, 23, 71], Operations: []
Exploring Operation: 73+33=106, Resulting Numbers: [23, 71, 106]
Generated Node #2: [23, 71, 106] from Operation: 73+33=106
Current State: 12:[23, 71, 106], Operations: ['73+33=106']
Exploring Operation: 23+71=94, Resulting Numbers: [106, 94]
Generated Node #3: [106, 94] from Operation: 23+71=94
Current State: 12:[106, 94], Operations: ['73+33=106', '23+71=94']
Exploring Operation: 106-94=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
5,
80,
79,
72
] | 67 | [
"72-5=67",
"80-79=1",
"67*1=67"
] | Current State: 67:[5, 80, 79, 72], Operations: []
Exploring Operation: 72-5=67, Resulting Numbers: [80, 79, 67]
Generated Node #2: [80, 79, 67] from Operation: 72-5=67
Current State: 67:[80, 79, 67], Operations: ['72-5=67']
Exploring Operation: 80-79=1, Resulting Numbers: [67, 1]
Generated Node #3: [67, 1] from Operation: 80-79=1
Current State: 67:[67, 1], Operations: ['72-5=67', '80-79=1']
Exploring Operation: 67*1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
78,
45,
80,
67
] | 24 | [
"78+45=123",
"80+67=147",
"147-123=24"
] | Current State: 24:[78, 45, 80, 67], Operations: []
Exploring Operation: 78+45=123, Resulting Numbers: [80, 67, 123]
Generated Node #2: [80, 67, 123] from Operation: 78+45=123
Current State: 24:[80, 67, 123], Operations: ['78+45=123']
Exploring Operation: 80+67=147, Resulting Numbers: [123, 147]
Generated Node #3: [123, 147] from Operation: 80+67=147
Current State: 24:[123, 147], Operations: ['78+45=123', '80+67=147']
Exploring Operation: 147-123=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
22,
99,
26,
66
] | 39 | [
"99-66=33",
"26*33=858",
"858/22=39"
] | Current State: 39:[22, 99, 26, 66], Operations: []
Exploring Operation: 99-66=33, Resulting Numbers: [22, 26, 33]
Generated Node #2: [22, 26, 33] from Operation: 99-66=33
Current State: 39:[22, 26, 33], Operations: ['99-66=33']
Exploring Operation: 26*33=858, Resulting Numbers: [22, 858]
Generated Node #3: [22, 858] from Operation: 26*33=858
Current State: 39:[22, 858], Operations: ['99-66=33', '26*33=858']
Exploring Operation: 858/22=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
57,
75,
51,
18
] | 51 | [
"75-57=18",
"51+18=69",
"69-18=51"
] | Current State: 51:[57, 75, 51, 18], Operations: []
Exploring Operation: 75-57=18, Resulting Numbers: [51, 18, 18]
Generated Node #2: [51, 18, 18] from Operation: 75-57=18
Current State: 51:[51, 18, 18], Operations: ['75-57=18']
Exploring Operation: 51+18=69, Resulting Numbers: [69]
69,51 equal: Goal Reached
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
62,
80,
21,
22
] | 84 | [
"80-62=18",
"22-18=4",
"21*4=84"
] | Current State: 84:[62, 80, 21, 22], Operations: []
Exploring Operation: 80-62=18, Resulting Numbers: [21, 22, 18]
Generated Node #2: [21, 22, 18] from Operation: 80-62=18
Current State: 84:[21, 22, 18], Operations: ['80-62=18']
Exploring Operation: 22-18=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 22-18=4
Current State: 84:[21, 4], Operations: ['80-62=18', '22-18=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
53,
3,
11,
66
] | 71 | [
"3*66=198",
"198/11=18",
"53+18=71"
] | Current State: 71:[53, 3, 11, 66], Operations: []
Exploring Operation: 3*66=198, Resulting Numbers: [53, 11, 198]
Generated Node #2: [53, 11, 198] from Operation: 3*66=198
Current State: 71:[53, 11, 198], Operations: ['3*66=198']
Exploring Operation: 198/11=18, Resulting Numbers: [53, 18]
Generated Node #3: [53, 18] from Operation: 198/11=18
Current State: 71:[53, 18], Operations: ['3*66=198', '198/11=18']
Exploring Operation: 53+18=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
33,
12,
25,
50
] | 27 | [
"12*25=300",
"300/50=6",
"33-6=27"
] | Current State: 27:[33, 12, 25, 50], Operations: []
Exploring Operation: 12*25=300, Resulting Numbers: [33, 50, 300]
Generated Node #2: [33, 50, 300] from Operation: 12*25=300
Current State: 27:[33, 50, 300], Operations: ['12*25=300']
Exploring Operation: 300/50=6, Resulting Numbers: [33, 6]
Generated Node #3: [33, 6] from Operation: 300/50=6
Current State: 27:[33, 6], Operations: ['12*25=300', '300/50=6']
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
8,
42,
22,
75
] | 85 | [
"42-22=20",
"8*20=160",
"160-75=85"
] | Current State: 85:[8, 42, 22, 75], Operations: []
Exploring Operation: 42-22=20, Resulting Numbers: [8, 75, 20]
Generated Node #2: [8, 75, 20] from Operation: 42-22=20
Current State: 85:[8, 75, 20], Operations: ['42-22=20']
Exploring Operation: 8*20=160, Resulting Numbers: [75, 160]
Generated Node #3: [75, 160] from Operation: 8*20=160
Current State: 85:[75, 160], Operations: ['42-22=20', '8*20=160']
Exploring Operation: 160-75=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
82,
25,
8,
75
] | 43 | [
"82+75=157",
"25*8=200",
"200-157=43"
] | Current State: 43:[82, 25, 8, 75], Operations: []
Exploring Operation: 82+75=157, Resulting Numbers: [25, 8, 157]
Generated Node #2: [25, 8, 157] from Operation: 82+75=157
Current State: 43:[25, 8, 157], Operations: ['82+75=157']
Exploring Operation: 25*8=200, Resulting Numbers: [157, 200]
Generated Node #3: [157, 200] from Operation: 25*8=200
Current State: 43:[157, 200], Operations: ['82+75=157', '25*8=200']
Exploring Operation: 200-157=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
32,
6,
82,
42
] | 98 | [
"32-6=26",
"82+42=124",
"124-26=98"
] | Current State: 98:[32, 6, 82, 42], Operations: []
Exploring Operation: 32-6=26, Resulting Numbers: [82, 42, 26]
Generated Node #2: [82, 42, 26] from Operation: 32-6=26
Current State: 98:[82, 42, 26], Operations: ['32-6=26']
Exploring Operation: 82+42=124, Resulting Numbers: [26, 124]
Generated Node #3: [26, 124] from Operation: 82+42=124
Current State: 98:[26, 124], Operations: ['32-6=26', '82+42=124']
Exploring Operation: 124-26=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
27,
51,
6,
28
] | 41 | [
"27+51=78",
"78/6=13",
"28+13=41"
] | Current State: 41:[27, 51, 6, 28], Operations: []
Exploring Operation: 27+51=78, Resulting Numbers: [6, 28, 78]
Generated Node #2: [6, 28, 78] from Operation: 27+51=78
Current State: 41:[6, 28, 78], Operations: ['27+51=78']
Exploring Operation: 78/6=13, Resulting Numbers: [28, 13]
Generated Node #3: [28, 13] from Operation: 78/6=13
Current State: 41:[28, 13], Operations: ['27+51=78', '78/6=13']
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
87,
22,
20,
46
] | 98 | [
"87*22=1914",
"46+1914=1960",
"1960/20=98"
] | Current State: 98:[87, 22, 20, 46], Operations: []
Exploring Operation: 87*22=1914, Resulting Numbers: [20, 46, 1914]
Generated Node #2: [20, 46, 1914] from Operation: 87*22=1914
Current State: 98:[20, 46, 1914], Operations: ['87*22=1914']
Exploring Operation: 46+1914=1960, Resulting Numbers: [20, 1960]
Generated Node #3: [20, 1960] from Operation: 46+1914=1960
Current State: 98:[20, 1960], Operations: ['87*22=1914', '46+1914=1960']
Exploring Operation: 1960/20=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
44,
46,
3,
26
] | 46 | [
"46-44=2",
"26-3=23",
"2*23=46"
] | Current State: 46:[44, 46, 3, 26], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [3, 26, 2]
Generated Node #2: [3, 26, 2] from Operation: 46-44=2
Current State: 46:[3, 26, 2], Operations: ['46-44=2']
Exploring Operation: 26-3=23, Resulting Numbers: [2, 23]
Generated Node #3: [2, 23] from Operation: 26-3=23
Current State: 46:[2, 23], Operations: ['46-44=2', '26-3=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
44,
73,
7,
12
] | 55 | [
"73-44=29",
"7*12=84",
"84-29=55"
] | Current State: 55:[44, 73, 7, 12], Operations: []
Exploring Operation: 73-44=29, Resulting Numbers: [7, 12, 29]
Generated Node #2: [7, 12, 29] from Operation: 73-44=29
Current State: 55:[7, 12, 29], Operations: ['73-44=29']
Exploring Operation: 7*12=84, Resulting Numbers: [29, 84]
Generated Node #3: [29, 84] from Operation: 7*12=84
Current State: 55:[29, 84], Operations: ['73-44=29', '7*12=84']
Exploring Operation: 84-29=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
78,
61,
80,
15
] | 31 | [
"80-78=2",
"15*2=30",
"61-30=31"
] | Current State: 31:[78, 61, 80, 15], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [61, 15, 2]
Generated Node #2: [61, 15, 2] from Operation: 80-78=2
Current State: 31:[61, 15, 2], Operations: ['80-78=2']
Exploring Operation: 15*2=30, Resulting Numbers: [61, 30]
Generated Node #3: [61, 30] from Operation: 15*2=30
Current State: 31:[61, 30], Operations: ['80-78=2', '15*2=30']
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
50,
16,
42,
74
] | 54 | [
"50-42=8",
"16*8=128",
"128-74=54"
] | Current State: 54:[50, 16, 42, 74], Operations: []
Exploring Operation: 50-42=8, Resulting Numbers: [16, 74, 8]
Generated Node #2: [16, 74, 8] from Operation: 50-42=8
Current State: 54:[16, 74, 8], Operations: ['50-42=8']
Exploring Operation: 16*8=128, Resulting Numbers: [74, 128]
Generated Node #3: [74, 128] from Operation: 16*8=128
Current State: 54:[74, 128], Operations: ['50-42=8', '16*8=128']
Exploring Operation: 128-74=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
55,
12,
76,
97
] | 14 | [
"55+97=152",
"152/76=2",
"12+2=14"
] | Current State: 14:[55, 12, 76, 97], Operations: []
Exploring Operation: 55+97=152, Resulting Numbers: [12, 76, 152]
Generated Node #2: [12, 76, 152] from Operation: 55+97=152
Current State: 14:[12, 76, 152], Operations: ['55+97=152']
Exploring Operation: 152/76=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 152/76=2
Current State: 14:[12, 2], Operations: ['55+97=152', '152/76=2']
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
22,
45,
40,
16
] | 58 | [
"45-40=5",
"16*5=80",
"80-22=58"
] | Current State: 58:[22, 45, 40, 16], Operations: []
Exploring Operation: 45-40=5, Resulting Numbers: [22, 16, 5]
Generated Node #2: [22, 16, 5] from Operation: 45-40=5
Current State: 58:[22, 16, 5], Operations: ['45-40=5']
Exploring Operation: 16*5=80, Resulting Numbers: [22, 80]
Generated Node #3: [22, 80] from Operation: 16*5=80
Current State: 58:[22, 80], Operations: ['45-40=5', '16*5=80']
Exploring Operation: 80-22=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
63,
62,
5,
9
] | 64 | [
"63/9=7",
"62-5=57",
"7+57=64"
] | Current State: 64:[63, 62, 5, 9], Operations: []
Exploring Operation: 63/9=7, Resulting Numbers: [62, 5, 7]
Generated Node #2: [62, 5, 7] from Operation: 63/9=7
Current State: 64:[62, 5, 7], Operations: ['63/9=7']
Exploring Operation: 62-5=57, Resulting Numbers: [7, 57]
Generated Node #3: [7, 57] from Operation: 62-5=57
Current State: 64:[7, 57], Operations: ['63/9=7', '62-5=57']
Exploring Operation: 7+57=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
33,
25,
62,
40
] | 30 | [
"33-25=8",
"62-40=22",
"8+22=30"
] | Current State: 30:[33, 25, 62, 40], Operations: []
Exploring Operation: 33-25=8, Resulting Numbers: [62, 40, 8]
Generated Node #2: [62, 40, 8] from Operation: 33-25=8
Current State: 30:[62, 40, 8], Operations: ['33-25=8']
Exploring Operation: 62-40=22, Resulting Numbers: [8, 22]
Generated Node #3: [8, 22] from Operation: 62-40=22
Current State: 30:[8, 22], Operations: ['33-25=8', '62-40=22']
Exploring Operation: 8+22=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
51,
89,
77,
16
] | 97 | [
"51+77=128",
"128/16=8",
"89+8=97"
] | Current State: 97:[51, 89, 77, 16], Operations: []
Exploring Operation: 51+77=128, Resulting Numbers: [89, 16, 128]
Generated Node #2: [89, 16, 128] from Operation: 51+77=128
Current State: 97:[89, 16, 128], Operations: ['51+77=128']
Exploring Operation: 128/16=8, Resulting Numbers: [89, 8]
Generated Node #3: [89, 8] from Operation: 128/16=8
Current State: 97:[89, 8], Operations: ['51+77=128', '128/16=8']
Exploring Operation: 89+8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
61,
80,
41,
41
] | 59 | [
"61+80=141",
"41+41=82",
"141-82=59"
] | Current State: 59:[61, 80, 41, 41], Operations: []
Exploring Operation: 61+80=141, Resulting Numbers: [41, 41, 141]
Generated Node #2: [41, 41, 141] from Operation: 61+80=141
Current State: 59:[41, 41, 141], Operations: ['61+80=141']
Exploring Operation: 41+41=82, Resulting Numbers: [141, 82]
Generated Node #3: [141, 82] from Operation: 41+41=82
Current State: 59:[141, 82], Operations: ['61+80=141', '41+41=82']
Exploring Operation: 141-82=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
41,
10,
13,
53
] | 45 | [
"53-13=40",
"40/10=4",
"41+4=45"
] | Current State: 45:[41, 10, 13, 53], Operations: []
Exploring Operation: 53-13=40, Resulting Numbers: [41, 10, 40]
Generated Node #2: [41, 10, 40] from Operation: 53-13=40
Current State: 45:[41, 10, 40], Operations: ['53-13=40']
Exploring Operation: 40/10=4, Resulting Numbers: [41, 4]
Generated Node #3: [41, 4] from Operation: 40/10=4
Current State: 45:[41, 4], Operations: ['53-13=40', '40/10=4']
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
52,
3,
8,
87
] | 59 | [
"87-52=35",
"3*8=24",
"35+24=59"
] | Current State: 59:[52, 3, 8, 87], Operations: []
Exploring Operation: 87-52=35, Resulting Numbers: [3, 8, 35]
Generated Node #2: [3, 8, 35] from Operation: 87-52=35
Current State: 59:[3, 8, 35], Operations: ['87-52=35']
Exploring Operation: 3*8=24, Resulting Numbers: [35, 24]
Generated Node #3: [35, 24] from Operation: 3*8=24
Current State: 59:[35, 24], Operations: ['87-52=35', '3*8=24']
Exploring Operation: 35+24=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
38,
67,
90,
62
] | 20 | [
"67-62=5",
"90/5=18",
"38-18=20"
] | Current State: 20:[38, 67, 90, 62], Operations: []
Exploring Operation: 67-62=5, Resulting Numbers: [38, 90, 5]
Generated Node #2: [38, 90, 5] from Operation: 67-62=5
Current State: 20:[38, 90, 5], Operations: ['67-62=5']
Exploring Operation: 90/5=18, Resulting Numbers: [38, 18]
Generated Node #3: [38, 18] from Operation: 90/5=18
Current State: 20:[38, 18], Operations: ['67-62=5', '90/5=18']
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
6,
32,
44,
17
] | 46 | [
"32-17=15",
"6*15=90",
"90-44=46"
] | Current State: 46:[6, 32, 44, 17], Operations: []
Exploring Operation: 32-17=15, Resulting Numbers: [6, 44, 15]
Generated Node #2: [6, 44, 15] from Operation: 32-17=15
Current State: 46:[6, 44, 15], Operations: ['32-17=15']
Exploring Operation: 6*15=90, Resulting Numbers: [44, 90]
Generated Node #3: [44, 90] from Operation: 6*15=90
Current State: 46:[44, 90], Operations: ['32-17=15', '6*15=90']
Exploring Operation: 90-44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
44,
81,
54,
90
] | 89 | [
"44+81=125",
"90-54=36",
"125-36=89"
] | Current State: 89:[44, 81, 54, 90], Operations: []
Exploring Operation: 44+81=125, Resulting Numbers: [54, 90, 125]
Generated Node #2: [54, 90, 125] from Operation: 44+81=125
Current State: 89:[54, 90, 125], Operations: ['44+81=125']
Exploring Operation: 90-54=36, Resulting Numbers: [125, 36]
Generated Node #3: [125, 36] from Operation: 90-54=36
Current State: 89:[125, 36], Operations: ['44+81=125', '90-54=36']
Exploring Operation: 125-36=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
6,
19,
47,
47
] | 19 | [
"47-47=0",
"6*0=0",
"19+0=19"
] | Current State: 19:[6, 19, 47, 47], Operations: []
Exploring Operation: 47-47=0, Resulting Numbers: [6, 19, 0]
Generated Node #2: [6, 19, 0] from Operation: 47-47=0
Current State: 19:[6, 19, 0], Operations: ['47-47=0']
Exploring Operation: 6*0=0, Resulting Numbers: [19, 0]
Generated Node #3: [19, 0] from Operation: 6*0=0
Current State: 19:[19, 0], Operations: ['47-47=0', '6*0=0']
Exploring Operation: 19+0=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
80,
15,
45,
48
] | 60 | [
"80*45=3600",
"3600/48=75",
"75-15=60"
] | Current State: 60:[80, 15, 45, 48], Operations: []
Exploring Operation: 80*45=3600, Resulting Numbers: [15, 48, 3600]
Generated Node #2: [15, 48, 3600] from Operation: 80*45=3600
Current State: 60:[15, 48, 3600], Operations: ['80*45=3600']
Exploring Operation: 3600/48=75, Resulting Numbers: [15, 75]
Generated Node #3: [15, 75] from Operation: 3600/48=75
Current State: 60:[15, 75], Operations: ['80*45=3600', '3600/48=75']
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
91,
58,
58,
47
] | 47 | [
"58-58=0",
"91*0=0",
"47+0=47"
] | Current State: 47:[91, 58, 58, 47], Operations: []
Exploring Operation: 58-58=0, Resulting Numbers: [91, 47, 0]
Generated Node #2: [91, 47, 0] from Operation: 58-58=0
Current State: 47:[91, 47, 0], Operations: ['58-58=0']
Exploring Operation: 91*0=0, Resulting Numbers: [47, 0]
Generated Node #3: [47, 0] from Operation: 91*0=0
Current State: 47:[47, 0], Operations: ['58-58=0', '91*0=0']
Exploring Operation: 47+0=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
10,
88,
51,
16
] | 43 | [
"88-10=78",
"51-16=35",
"78-35=43"
] | Current State: 43:[10, 88, 51, 16], Operations: []
Exploring Operation: 88-10=78, Resulting Numbers: [51, 16, 78]
Generated Node #2: [51, 16, 78] from Operation: 88-10=78
Current State: 43:[51, 16, 78], Operations: ['88-10=78']
Exploring Operation: 51-16=35, Resulting Numbers: [78, 35]
Generated Node #3: [78, 35] from Operation: 51-16=35
Current State: 43:[78, 35], Operations: ['88-10=78', '51-16=35']
Exploring Operation: 78-35=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
40,
79,
53,
53
] | 40 | [
"79-40=39",
"53/53=1",
"39+1=40"
] | Current State: 40:[40, 79, 53, 53], Operations: []
Exploring Operation: 79-40=39, Resulting Numbers: [53, 53, 39]
Generated Node #2: [53, 53, 39] from Operation: 79-40=39
Current State: 40:[53, 53, 39], Operations: ['79-40=39']
Exploring Operation: 53/53=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 53/53=1
Current State: 40:[39, 1], Operations: ['79-40=39', '53/53=1']
Exploring Operation: 39+1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
49,
3,
50,
95
] | 88 | [
"95-49=46",
"3*46=138",
"138-50=88"
] | Current State: 88:[49, 3, 50, 95], Operations: []
Exploring Operation: 95-49=46, Resulting Numbers: [3, 50, 46]
Generated Node #2: [3, 50, 46] from Operation: 95-49=46
Current State: 88:[3, 50, 46], Operations: ['95-49=46']
Exploring Operation: 3*46=138, Resulting Numbers: [50, 138]
Generated Node #3: [50, 138] from Operation: 3*46=138
Current State: 88:[50, 138], Operations: ['95-49=46', '3*46=138']
Exploring Operation: 138-50=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
14,
19,
76,
18
] | 89 | [
"19-14=5",
"76+18=94",
"94-5=89"
] | Current State: 89:[14, 19, 76, 18], Operations: []
Exploring Operation: 19-14=5, Resulting Numbers: [76, 18, 5]
Generated Node #2: [76, 18, 5] from Operation: 19-14=5
Current State: 89:[76, 18, 5], Operations: ['19-14=5']
Exploring Operation: 76+18=94, Resulting Numbers: [5, 94]
Generated Node #3: [5, 94] from Operation: 76+18=94
Current State: 89:[5, 94], Operations: ['19-14=5', '76+18=94']
Exploring Operation: 94-5=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
4,
34,
11,
14
] | 69 | [
"34-14=20",
"4*20=80",
"80-11=69"
] | Current State: 69:[4, 34, 11, 14], Operations: []
Exploring Operation: 34-14=20, Resulting Numbers: [4, 11, 20]
Generated Node #2: [4, 11, 20] from Operation: 34-14=20
Current State: 69:[4, 11, 20], Operations: ['34-14=20']
Exploring Operation: 4*20=80, Resulting Numbers: [11, 80]
Generated Node #3: [11, 80] from Operation: 4*20=80
Current State: 69:[11, 80], Operations: ['34-14=20', '4*20=80']
Exploring Operation: 80-11=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
79,
15,
71,
63
] | 73 | [
"79+71=150",
"150/15=10",
"63+10=73"
] | Current State: 73:[79, 15, 71, 63], Operations: []
Exploring Operation: 79+71=150, Resulting Numbers: [15, 63, 150]
Generated Node #2: [15, 63, 150] from Operation: 79+71=150
Current State: 73:[15, 63, 150], Operations: ['79+71=150']
Exploring Operation: 150/15=10, Resulting Numbers: [63, 10]
Generated Node #3: [63, 10] from Operation: 150/15=10
Current State: 73:[63, 10], Operations: ['79+71=150', '150/15=10']
Exploring Operation: 63+10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
65,
56,
63,
23
] | 31 | [
"65-56=9",
"63-23=40",
"40-9=31"
] | Current State: 31:[65, 56, 63, 23], Operations: []
Exploring Operation: 65-56=9, Resulting Numbers: [63, 23, 9]
Generated Node #2: [63, 23, 9] from Operation: 65-56=9
Current State: 31:[63, 23, 9], Operations: ['65-56=9']
Exploring Operation: 63-23=40, Resulting Numbers: [9, 40]
Generated Node #3: [9, 40] from Operation: 63-23=40
Current State: 31:[9, 40], Operations: ['65-56=9', '63-23=40']
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
64,
69,
41,
36
] | 33 | [
"64-41=23",
"69/23=3",
"36-3=33"
] | Current State: 33:[64, 69, 41, 36], Operations: []
Exploring Operation: 64-41=23, Resulting Numbers: [69, 36, 23]
Generated Node #2: [69, 36, 23] from Operation: 64-41=23
Current State: 33:[69, 36, 23], Operations: ['64-41=23']
Exploring Operation: 69/23=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 69/23=3
Current State: 33:[36, 3], Operations: ['64-41=23', '69/23=3']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
83,
2,
72,
33
] | 86 | [
"83-33=50",
"72/2=36",
"50+36=86"
] | Current State: 86:[83, 2, 72, 33], Operations: []
Exploring Operation: 83-33=50, Resulting Numbers: [2, 72, 50]
Generated Node #2: [2, 72, 50] from Operation: 83-33=50
Current State: 86:[2, 72, 50], Operations: ['83-33=50']
Exploring Operation: 72/2=36, Resulting Numbers: [50, 36]
Generated Node #3: [50, 36] from Operation: 72/2=36
Current State: 86:[50, 36], Operations: ['83-33=50', '72/2=36']
Exploring Operation: 50+36=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
5,
44,
1,
6
] | 68 | [
"5-1=4",
"6*4=24",
"44+24=68"
] | Current State: 68:[5, 44, 1, 6], Operations: []
Exploring Operation: 5-1=4, Resulting Numbers: [44, 6, 4]
Generated Node #2: [44, 6, 4] from Operation: 5-1=4
Current State: 68:[44, 6, 4], Operations: ['5-1=4']
Exploring Operation: 6*4=24, Resulting Numbers: [44, 24]
Generated Node #3: [44, 24] from Operation: 6*4=24
Current State: 68:[44, 24], Operations: ['5-1=4', '6*4=24']
Exploring Operation: 44+24=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
93,
29,
24,
90
] | 63 | [
"93-90=3",
"29*3=87",
"87-24=63"
] | Current State: 63:[93, 29, 24, 90], Operations: []
Exploring Operation: 93-90=3, Resulting Numbers: [29, 24, 3]
Generated Node #2: [29, 24, 3] from Operation: 93-90=3
Current State: 63:[29, 24, 3], Operations: ['93-90=3']
Exploring Operation: 29*3=87, Resulting Numbers: [24, 87]
Generated Node #3: [24, 87] from Operation: 29*3=87
Current State: 63:[24, 87], Operations: ['93-90=3', '29*3=87']
Exploring Operation: 87-24=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
55,
4,
89,
13
] | 92 | [
"55+89=144",
"4*13=52",
"144-52=92"
] | Current State: 92:[55, 4, 89, 13], Operations: []
Exploring Operation: 55+89=144, Resulting Numbers: [4, 13, 144]
Generated Node #2: [4, 13, 144] from Operation: 55+89=144
Current State: 92:[4, 13, 144], Operations: ['55+89=144']
Exploring Operation: 4*13=52, Resulting Numbers: [144, 52]
Generated Node #3: [144, 52] from Operation: 4*13=52
Current State: 92:[144, 52], Operations: ['55+89=144', '4*13=52']
Exploring Operation: 144-52=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
28,
7,
33,
27
] | 24 | [
"28/7=4",
"33-27=6",
"4*6=24"
] | Current State: 24:[28, 7, 33, 27], Operations: []
Exploring Operation: 28/7=4, Resulting Numbers: [33, 27, 4]
Generated Node #2: [33, 27, 4] from Operation: 28/7=4
Current State: 24:[33, 27, 4], Operations: ['28/7=4']
Exploring Operation: 33-27=6, Resulting Numbers: [4, 6]
Generated Node #3: [4, 6] from Operation: 33-27=6
Current State: 24:[4, 6], Operations: ['28/7=4', '33-27=6']
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
36,
81,
11,
43
] | 99 | [
"81-36=45",
"11+43=54",
"45+54=99"
] | Current State: 99:[36, 81, 11, 43], Operations: []
Exploring Operation: 81-36=45, Resulting Numbers: [11, 43, 45]
Generated Node #2: [11, 43, 45] from Operation: 81-36=45
Current State: 99:[11, 43, 45], Operations: ['81-36=45']
Exploring Operation: 11+43=54, Resulting Numbers: [45, 54]
Generated Node #3: [45, 54] from Operation: 11+43=54
Current State: 99:[45, 54], Operations: ['81-36=45', '11+43=54']
Exploring Operation: 45+54=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
78,
21,
2,
69
] | 84 | [
"78+21=99",
"69+99=168",
"168/2=84"
] | Current State: 84:[78, 21, 2, 69], Operations: []
Exploring Operation: 78+21=99, Resulting Numbers: [2, 69, 99]
Generated Node #2: [2, 69, 99] from Operation: 78+21=99
Current State: 84:[2, 69, 99], Operations: ['78+21=99']
Exploring Operation: 69+99=168, Resulting Numbers: [2, 168]
Generated Node #3: [2, 168] from Operation: 69+99=168
Current State: 84:[2, 168], Operations: ['78+21=99', '69+99=168']
Exploring Operation: 168/2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
36,
9,
58,
89
] | 58 | [
"36-9=27",
"89-58=31",
"27+31=58"
] | Current State: 58:[36, 9, 58, 89], Operations: []
Exploring Operation: 36-9=27, Resulting Numbers: [58, 89, 27]
Generated Node #2: [58, 89, 27] from Operation: 36-9=27
Current State: 58:[58, 89, 27], Operations: ['36-9=27']
Exploring Operation: 89-58=31, Resulting Numbers: [27, 31]
Generated Node #3: [27, 31] from Operation: 89-58=31
Current State: 58:[27, 31], Operations: ['36-9=27', '89-58=31']
Exploring Operation: 27+31=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
3,
5,
87,
82
] | 30 | [
"5+87=92",
"92-82=10",
"3*10=30"
] | Current State: 30:[3, 5, 87, 82], Operations: []
Exploring Operation: 5+87=92, Resulting Numbers: [3, 82, 92]
Generated Node #2: [3, 82, 92] from Operation: 5+87=92
Current State: 30:[3, 82, 92], Operations: ['5+87=92']
Exploring Operation: 92-82=10, Resulting Numbers: [3, 10]
Generated Node #3: [3, 10] from Operation: 92-82=10
Current State: 30:[3, 10], Operations: ['5+87=92', '92-82=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
92,
46,
95,
1
] | 43 | [
"92+46=138",
"95*1=95",
"138-95=43"
] | Current State: 43:[92, 46, 95, 1], Operations: []
Exploring Operation: 92+46=138, Resulting Numbers: [95, 1, 138]
Generated Node #2: [95, 1, 138] from Operation: 92+46=138
Current State: 43:[95, 1, 138], Operations: ['92+46=138']
Exploring Operation: 95*1=95, Resulting Numbers: [138, 95]
Generated Node #3: [138, 95] from Operation: 95*1=95
Current State: 43:[138, 95], Operations: ['92+46=138', '95*1=95']
Exploring Operation: 138-95=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
55,
56,
26,
57
] | 32 | [
"56-55=1",
"57-26=31",
"1+31=32"
] | Current State: 32:[55, 56, 26, 57], Operations: []
Exploring Operation: 56-55=1, Resulting Numbers: [26, 57, 1]
Generated Node #2: [26, 57, 1] from Operation: 56-55=1
Current State: 32:[26, 57, 1], Operations: ['56-55=1']
Exploring Operation: 57-26=31, Resulting Numbers: [1, 31]
Generated Node #3: [1, 31] from Operation: 57-26=31
Current State: 32:[1, 31], Operations: ['56-55=1', '57-26=31']
Exploring Operation: 1+31=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
8,
70,
51,
7
] | 33 | [
"51-8=43",
"70/7=10",
"43-10=33"
] | Current State: 33:[8, 70, 51, 7], Operations: []
Exploring Operation: 51-8=43, Resulting Numbers: [70, 7, 43]
Generated Node #2: [70, 7, 43] from Operation: 51-8=43
Current State: 33:[70, 7, 43], Operations: ['51-8=43']
Exploring Operation: 70/7=10, Resulting Numbers: [43, 10]
Generated Node #3: [43, 10] from Operation: 70/7=10
Current State: 33:[43, 10], Operations: ['51-8=43', '70/7=10']
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
13,
98,
72,
1
] | 14 | [
"98-13=85",
"72-1=71",
"85-71=14"
] | Current State: 14:[13, 98, 72, 1], Operations: []
Exploring Operation: 98-13=85, Resulting Numbers: [72, 1, 85]
Generated Node #2: [72, 1, 85] from Operation: 98-13=85
Current State: 14:[72, 1, 85], Operations: ['98-13=85']
Exploring Operation: 72-1=71, Resulting Numbers: [85, 71]
Generated Node #3: [85, 71] from Operation: 72-1=71
Current State: 14:[85, 71], Operations: ['98-13=85', '72-1=71']
Exploring Operation: 85-71=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
11,
33,
3,
89
] | 32 | [
"11*33=363",
"363/3=121",
"121-89=32"
] | Current State: 32:[11, 33, 3, 89], Operations: []
Exploring Operation: 11*33=363, Resulting Numbers: [3, 89, 363]
Generated Node #2: [3, 89, 363] from Operation: 11*33=363
Current State: 32:[3, 89, 363], Operations: ['11*33=363']
Exploring Operation: 363/3=121, Resulting Numbers: [89, 121]
Generated Node #3: [89, 121] from Operation: 363/3=121
Current State: 32:[89, 121], Operations: ['11*33=363', '363/3=121']
Exploring Operation: 121-89=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
38,
54,
61,
9
] | 25 | [
"61-54=7",
"9*7=63",
"63-38=25"
] | Current State: 25:[38, 54, 61, 9], Operations: []
Exploring Operation: 61-54=7, Resulting Numbers: [38, 9, 7]
Generated Node #2: [38, 9, 7] from Operation: 61-54=7
Current State: 25:[38, 9, 7], Operations: ['61-54=7']
Exploring Operation: 9*7=63, Resulting Numbers: [38, 63]
Generated Node #3: [38, 63] from Operation: 9*7=63
Current State: 25:[38, 63], Operations: ['61-54=7', '9*7=63']
Exploring Operation: 63-38=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
30,
18,
76,
25
] | 53 | [
"30+18=48",
"76+25=101",
"101-48=53"
] | Current State: 53:[30, 18, 76, 25], Operations: []
Exploring Operation: 30+18=48, Resulting Numbers: [76, 25, 48]
Generated Node #2: [76, 25, 48] from Operation: 30+18=48
Current State: 53:[76, 25, 48], Operations: ['30+18=48']
Exploring Operation: 76+25=101, Resulting Numbers: [48, 101]
Generated Node #3: [48, 101] from Operation: 76+25=101
Current State: 53:[48, 101], Operations: ['30+18=48', '76+25=101']
Exploring Operation: 101-48=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
69,
6,
47,
42
] | 90 | [
"69-47=22",
"6*22=132",
"132-42=90"
] | Current State: 90:[69, 6, 47, 42], Operations: []
Exploring Operation: 69-47=22, Resulting Numbers: [6, 42, 22]
Generated Node #2: [6, 42, 22] from Operation: 69-47=22
Current State: 90:[6, 42, 22], Operations: ['69-47=22']
Exploring Operation: 6*22=132, Resulting Numbers: [42, 132]
Generated Node #3: [42, 132] from Operation: 6*22=132
Current State: 90:[42, 132], Operations: ['69-47=22', '6*22=132']
Exploring Operation: 132-42=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
15,
19,
77,
41
] | 84 | [
"15+19=34",
"77+41=118",
"118-34=84"
] | Current State: 84:[15, 19, 77, 41], Operations: []
Exploring Operation: 15+19=34, Resulting Numbers: [77, 41, 34]
Generated Node #2: [77, 41, 34] from Operation: 15+19=34
Current State: 84:[77, 41, 34], Operations: ['15+19=34']
Exploring Operation: 77+41=118, Resulting Numbers: [34, 118]
Generated Node #3: [34, 118] from Operation: 77+41=118
Current State: 84:[34, 118], Operations: ['15+19=34', '77+41=118']
Exploring Operation: 118-34=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
6,
37,
81,
8
] | 92 | [
"6*8=48",
"81-37=44",
"48+44=92"
] | Current State: 92:[6, 37, 81, 8], Operations: []
Exploring Operation: 6*8=48, Resulting Numbers: [37, 81, 48]
Generated Node #2: [37, 81, 48] from Operation: 6*8=48
Current State: 92:[37, 81, 48], Operations: ['6*8=48']
Exploring Operation: 81-37=44, Resulting Numbers: [48, 44]
Generated Node #3: [48, 44] from Operation: 81-37=44
Current State: 92:[48, 44], Operations: ['6*8=48', '81-37=44']
Exploring Operation: 48+44=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
35,
16,
67,
8
] | 40 | [
"35-16=19",
"67-8=59",
"59-19=40"
] | Current State: 40:[35, 16, 67, 8], Operations: []
Exploring Operation: 35-16=19, Resulting Numbers: [67, 8, 19]
Generated Node #2: [67, 8, 19] from Operation: 35-16=19
Current State: 40:[67, 8, 19], Operations: ['35-16=19']
Exploring Operation: 67-8=59, Resulting Numbers: [19, 59]
Generated Node #3: [19, 59] from Operation: 67-8=59
Current State: 40:[19, 59], Operations: ['35-16=19', '67-8=59']
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
23,
4,
98,
20
] | 98 | [
"23-4=19",
"20-19=1",
"98*1=98"
] | Current State: 98:[23, 4, 98, 20], Operations: []
Exploring Operation: 23-4=19, Resulting Numbers: [98, 20, 19]
Generated Node #2: [98, 20, 19] from Operation: 23-4=19
Current State: 98:[98, 20, 19], Operations: ['23-4=19']
Exploring Operation: 20-19=1, Resulting Numbers: [98, 1]
Generated Node #3: [98, 1] from Operation: 20-19=1
Current State: 98:[98, 1], Operations: ['23-4=19', '20-19=1']
Exploring Operation: 98*1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
49,
1,
49,
30
] | 31 | [
"49+1=50",
"49-30=19",
"50-19=31"
] | Current State: 31:[49, 1, 49, 30], Operations: []
Exploring Operation: 49+1=50, Resulting Numbers: [30, 50]
Generated Node #2: [30, 50] from Operation: 49+1=50
Current State: 31:[30, 50], Operations: ['49+1=50']
Exploring Operation: 49-30=19, Resulting Numbers: [50, 19]
Generated Node #3: [50, 19] from Operation: 49-30=19
Current State: 31:[50, 19], Operations: ['49+1=50', '49-30=19']
Exploring Operation: 50-19=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
34,
21,
17,
5
] | 54 | [
"34+17=51",
"21*5=105",
"105-51=54"
] | Current State: 54:[34, 21, 17, 5], Operations: []
Exploring Operation: 34+17=51, Resulting Numbers: [21, 5, 51]
Generated Node #2: [21, 5, 51] from Operation: 34+17=51
Current State: 54:[21, 5, 51], Operations: ['34+17=51']
Exploring Operation: 21*5=105, Resulting Numbers: [51, 105]
Generated Node #3: [51, 105] from Operation: 21*5=105
Current State: 54:[51, 105], Operations: ['34+17=51', '21*5=105']
Exploring Operation: 105-51=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
55,
40,
13,
77
] | 79 | [
"55-40=15",
"77-13=64",
"15+64=79"
] | Current State: 79:[55, 40, 13, 77], Operations: []
Exploring Operation: 55-40=15, Resulting Numbers: [13, 77, 15]
Generated Node #2: [13, 77, 15] from Operation: 55-40=15
Current State: 79:[13, 77, 15], Operations: ['55-40=15']
Exploring Operation: 77-13=64, Resulting Numbers: [15, 64]
Generated Node #3: [15, 64] from Operation: 77-13=64
Current State: 79:[15, 64], Operations: ['55-40=15', '77-13=64']
Exploring Operation: 15+64=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
40,
46,
65,
43
] | 35 | [
"40+65=105",
"46-43=3",
"105/3=35"
] | Current State: 35:[40, 46, 65, 43], Operations: []
Exploring Operation: 40+65=105, Resulting Numbers: [46, 43, 105]
Generated Node #2: [46, 43, 105] from Operation: 40+65=105
Current State: 35:[46, 43, 105], Operations: ['40+65=105']
Exploring Operation: 46-43=3, Resulting Numbers: [105, 3]
Generated Node #3: [105, 3] from Operation: 46-43=3
Current State: 35:[105, 3], Operations: ['40+65=105', '46-43=3']
Exploring Operation: 105/3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
33,
96,
14,
18
] | 57 | [
"18-14=4",
"96/4=24",
"33+24=57"
] | Current State: 57:[33, 96, 14, 18], Operations: []
Exploring Operation: 18-14=4, Resulting Numbers: [33, 96, 4]
Generated Node #2: [33, 96, 4] from Operation: 18-14=4
Current State: 57:[33, 96, 4], Operations: ['18-14=4']
Exploring Operation: 96/4=24, Resulting Numbers: [33, 24]
Generated Node #3: [33, 24] from Operation: 96/4=24
Current State: 57:[33, 24], Operations: ['18-14=4', '96/4=24']
Exploring Operation: 33+24=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
61,
45,
72,
27
] | 65 | [
"45-27=18",
"72/18=4",
"61+4=65"
] | Current State: 65:[61, 45, 72, 27], Operations: []
Exploring Operation: 45-27=18, Resulting Numbers: [61, 72, 18]
Generated Node #2: [61, 72, 18] from Operation: 45-27=18
Current State: 65:[61, 72, 18], Operations: ['45-27=18']
Exploring Operation: 72/18=4, Resulting Numbers: [61, 4]
Generated Node #3: [61, 4] from Operation: 72/18=4
Current State: 65:[61, 4], Operations: ['45-27=18', '72/18=4']
Exploring Operation: 61+4=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
27,
48,
34,
44
] | 11 | [
"48-27=21",
"44-34=10",
"21-10=11"
] | Current State: 11:[27, 48, 34, 44], Operations: []
Exploring Operation: 48-27=21, Resulting Numbers: [34, 44, 21]
Generated Node #2: [34, 44, 21] from Operation: 48-27=21
Current State: 11:[34, 44, 21], Operations: ['48-27=21']
Exploring Operation: 44-34=10, Resulting Numbers: [21, 10]
Generated Node #3: [21, 10] from Operation: 44-34=10
Current State: 11:[21, 10], Operations: ['48-27=21', '44-34=10']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
80,
77,
5,
3
] | 87 | [
"5+3=8",
"80/8=10",
"77+10=87"
] | Current State: 87:[80, 77, 5, 3], Operations: []
Exploring Operation: 5+3=8, Resulting Numbers: [80, 77, 8]
Generated Node #2: [80, 77, 8] from Operation: 5+3=8
Current State: 87:[80, 77, 8], Operations: ['5+3=8']
Exploring Operation: 80/8=10, Resulting Numbers: [77, 10]
Generated Node #3: [77, 10] from Operation: 80/8=10
Current State: 87:[77, 10], Operations: ['5+3=8', '80/8=10']
Exploring Operation: 77+10=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
28,
63,
29,
34
] | 97 | [
"29-28=1",
"63+34=97",
"1*97=97"
] | Current State: 97:[28, 63, 29, 34], Operations: []
Exploring Operation: 29-28=1, Resulting Numbers: [63, 34, 1]
Generated Node #2: [63, 34, 1] from Operation: 29-28=1
Current State: 97:[63, 34, 1], Operations: ['29-28=1']
Exploring Operation: 63+34=97, Resulting Numbers: [1, 97]
Generated Node #3: [1, 97] from Operation: 63+34=97
Current State: 97:[1, 97], Operations: ['29-28=1', '63+34=97']
Exploring Operation: 1*97=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
65,
41,
17,
68
] | 66 | [
"65+17=82",
"82/41=2",
"68-2=66"
] | Current State: 66:[65, 41, 17, 68], Operations: []
Exploring Operation: 65+17=82, Resulting Numbers: [41, 68, 82]
Generated Node #2: [41, 68, 82] from Operation: 65+17=82
Current State: 66:[41, 68, 82], Operations: ['65+17=82']
Exploring Operation: 82/41=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 82/41=2
Current State: 66:[68, 2], Operations: ['65+17=82', '82/41=2']
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
75,
29,
44,
42
] | 92 | [
"75-29=46",
"44-42=2",
"46*2=92"
] | Current State: 92:[75, 29, 44, 42], Operations: []
Exploring Operation: 75-29=46, Resulting Numbers: [44, 42, 46]
Generated Node #2: [44, 42, 46] from Operation: 75-29=46
Current State: 92:[44, 42, 46], Operations: ['75-29=46']
Exploring Operation: 44-42=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 44-42=2
Current State: 92:[46, 2], Operations: ['75-29=46', '44-42=2']
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
66,
19,
19,
15
] | 81 | [
"66+19=85",
"19-15=4",
"85-4=81"
] | Current State: 81:[66, 19, 19, 15], Operations: []
Exploring Operation: 66+19=85, Resulting Numbers: [15, 85]
Generated Node #2: [15, 85] from Operation: 66+19=85
Current State: 81:[15, 85], Operations: ['66+19=85']
Exploring Operation: 19-15=4, Resulting Numbers: [85, 4]
Generated Node #3: [85, 4] from Operation: 19-15=4
Current State: 81:[85, 4], Operations: ['66+19=85', '19-15=4']
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
17,
74,
14,
17
] | 74 | [
"17-17=0",
"14*0=0",
"74+0=74"
] | Current State: 74:[17, 74, 14, 17], Operations: []
Exploring Operation: 17-17=0, Resulting Numbers: [74, 14, 0]
Generated Node #2: [74, 14, 0] from Operation: 17-17=0
Current State: 74:[74, 14, 0], Operations: ['17-17=0']
Exploring Operation: 14*0=0, Resulting Numbers: [74, 0]
Generated Node #3: [74, 0] from Operation: 14*0=0
Current State: 74:[74, 0], Operations: ['17-17=0', '14*0=0']
Exploring Operation: 74+0=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
59,
44,
48,
71
] | 16 | [
"59+44=103",
"48+71=119",
"119-103=16"
] | Current State: 16:[59, 44, 48, 71], Operations: []
Exploring Operation: 59+44=103, Resulting Numbers: [48, 71, 103]
Generated Node #2: [48, 71, 103] from Operation: 59+44=103
Current State: 16:[48, 71, 103], Operations: ['59+44=103']
Exploring Operation: 48+71=119, Resulting Numbers: [103, 119]
Generated Node #3: [103, 119] from Operation: 48+71=119
Current State: 16:[103, 119], Operations: ['59+44=103', '48+71=119']
Exploring Operation: 119-103=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
11,
98,
92,
8
] | 25 | [
"11+98=109",
"92-8=84",
"109-84=25"
] | Current State: 25:[11, 98, 92, 8], Operations: []
Exploring Operation: 11+98=109, Resulting Numbers: [92, 8, 109]
Generated Node #2: [92, 8, 109] from Operation: 11+98=109
Current State: 25:[92, 8, 109], Operations: ['11+98=109']
Exploring Operation: 92-8=84, Resulting Numbers: [109, 84]
Generated Node #3: [109, 84] from Operation: 92-8=84
Current State: 25:[109, 84], Operations: ['11+98=109', '92-8=84']
Exploring Operation: 109-84=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
26,
15,
26,
29
] | 15 | [
"26-26=0",
"29*0=0",
"15+0=15"
] | Current State: 15:[26, 15, 26, 29], Operations: []
Exploring Operation: 26-26=0, Resulting Numbers: [15, 29, 0]
Generated Node #2: [15, 29, 0] from Operation: 26-26=0
Current State: 15:[15, 29, 0], Operations: ['26-26=0']
Exploring Operation: 29*0=0, Resulting Numbers: [15, 0]
Generated Node #3: [15, 0] from Operation: 29*0=0
Current State: 15:[15, 0], Operations: ['26-26=0', '29*0=0']
Exploring Operation: 15+0=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
89,
66,
61,
40
] | 97 | [
"66-61=5",
"40/5=8",
"89+8=97"
] | Current State: 97:[89, 66, 61, 40], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [89, 40, 5]
Generated Node #2: [89, 40, 5] from Operation: 66-61=5
Current State: 97:[89, 40, 5], Operations: ['66-61=5']
Exploring Operation: 40/5=8, Resulting Numbers: [89, 8]
Generated Node #3: [89, 8] from Operation: 40/5=8
Current State: 97:[89, 8], Operations: ['66-61=5', '40/5=8']
Exploring Operation: 89+8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
16,
11,
6,
29
] | 77 | [
"16+6=22",
"29-22=7",
"11*7=77"
] | Current State: 77:[16, 11, 6, 29], Operations: []
Exploring Operation: 16+6=22, Resulting Numbers: [11, 29, 22]
Generated Node #2: [11, 29, 22] from Operation: 16+6=22
Current State: 77:[11, 29, 22], Operations: ['16+6=22']
Exploring Operation: 29-22=7, Resulting Numbers: [11, 7]
Generated Node #3: [11, 7] from Operation: 29-22=7
Current State: 77:[11, 7], Operations: ['16+6=22', '29-22=7']
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
96,
2,
71,
63
] | 92 | [
"71-63=8",
"8/2=4",
"96-4=92"
] | Current State: 92:[96, 2, 71, 63], Operations: []
Exploring Operation: 71-63=8, Resulting Numbers: [96, 2, 8]
Generated Node #2: [96, 2, 8] from Operation: 71-63=8
Current State: 92:[96, 2, 8], Operations: ['71-63=8']
Exploring Operation: 8/2=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 8/2=4
Current State: 92:[96, 4], Operations: ['71-63=8', '8/2=4']
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
69,
54,
20,
24
] | 79 | [
"69+54=123",
"20+24=44",
"123-44=79"
] | Current State: 79:[69, 54, 20, 24], Operations: []
Exploring Operation: 69+54=123, Resulting Numbers: [20, 24, 123]
Generated Node #2: [20, 24, 123] from Operation: 69+54=123
Current State: 79:[20, 24, 123], Operations: ['69+54=123']
Exploring Operation: 20+24=44, Resulting Numbers: [123, 44]
Generated Node #3: [123, 44] from Operation: 20+24=44
Current State: 79:[123, 44], Operations: ['69+54=123', '20+24=44']
Exploring Operation: 123-44=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
21,
94,
33,
23
] | 63 | [
"94-21=73",
"33-23=10",
"73-10=63"
] | Current State: 63:[21, 94, 33, 23], Operations: []
Exploring Operation: 94-21=73, Resulting Numbers: [33, 23, 73]
Generated Node #2: [33, 23, 73] from Operation: 94-21=73
Current State: 63:[33, 23, 73], Operations: ['94-21=73']
Exploring Operation: 33-23=10, Resulting Numbers: [73, 10]
Generated Node #3: [73, 10] from Operation: 33-23=10
Current State: 63:[73, 10], Operations: ['94-21=73', '33-23=10']
Exploring Operation: 73-10=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
75,
70,
60,
98
] | 43 | [
"75-70=5",
"98-60=38",
"5+38=43"
] | Current State: 43:[75, 70, 60, 98], Operations: []
Exploring Operation: 75-70=5, Resulting Numbers: [60, 98, 5]
Generated Node #2: [60, 98, 5] from Operation: 75-70=5
Current State: 43:[60, 98, 5], Operations: ['75-70=5']
Exploring Operation: 98-60=38, Resulting Numbers: [5, 38]
Generated Node #3: [5, 38] from Operation: 98-60=38
Current State: 43:[5, 38], Operations: ['75-70=5', '98-60=38']
Exploring Operation: 5+38=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
4,
31,
30,
36
] | 12 | [
"31-4=27",
"30-27=3",
"36/3=12"
] | Current State: 12:[4, 31, 30, 36], Operations: []
Exploring Operation: 31-4=27, Resulting Numbers: [30, 36, 27]
Generated Node #2: [30, 36, 27] from Operation: 31-4=27
Current State: 12:[30, 36, 27], Operations: ['31-4=27']
Exploring Operation: 30-27=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 30-27=3
Current State: 12:[36, 3], Operations: ['31-4=27', '30-27=3']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
15,
2,
57,
93
] | 99 | [
"93-15=78",
"2*78=156",
"156-57=99"
] | Current State: 99:[15, 2, 57, 93], Operations: []
Exploring Operation: 93-15=78, Resulting Numbers: [2, 57, 78]
Generated Node #2: [2, 57, 78] from Operation: 93-15=78
Current State: 99:[2, 57, 78], Operations: ['93-15=78']
Exploring Operation: 2*78=156, Resulting Numbers: [57, 156]
Generated Node #3: [57, 156] from Operation: 2*78=156
Current State: 99:[57, 156], Operations: ['93-15=78', '2*78=156']
Exploring Operation: 156-57=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
33,
99,
66,
82
] | 41 | [
"33+99=132",
"66*82=5412",
"5412/132=41"
] | Current State: 41:[33, 99, 66, 82], Operations: []
Exploring Operation: 33+99=132, Resulting Numbers: [66, 82, 132]
Generated Node #2: [66, 82, 132] from Operation: 33+99=132
Current State: 41:[66, 82, 132], Operations: ['33+99=132']
Exploring Operation: 66*82=5412, Resulting Numbers: [132, 5412]
Generated Node #3: [132, 5412] from Operation: 66*82=5412
Current State: 41:[132, 5412], Operations: ['33+99=132', '66*82=5412']
Exploring Operation: 5412/132=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
48,
8,
63,
9
] | 15 | [
"48+63=111",
"9+111=120",
"120/8=15"
] | Current State: 15:[48, 8, 63, 9], Operations: []
Exploring Operation: 48+63=111, Resulting Numbers: [8, 9, 111]
Generated Node #2: [8, 9, 111] from Operation: 48+63=111
Current State: 15:[8, 9, 111], Operations: ['48+63=111']
Exploring Operation: 9+111=120, Resulting Numbers: [8, 120]
Generated Node #3: [8, 120] from Operation: 9+111=120
Current State: 15:[8, 120], Operations: ['48+63=111', '9+111=120']
Exploring Operation: 120/8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
2,
94,
74,
24
] | 88 | [
"94-74=20",
"24+20=44",
"2*44=88"
] | Current State: 88:[2, 94, 74, 24], Operations: []
Exploring Operation: 94-74=20, Resulting Numbers: [2, 24, 20]
Generated Node #2: [2, 24, 20] from Operation: 94-74=20
Current State: 88:[2, 24, 20], Operations: ['94-74=20']
Exploring Operation: 24+20=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 24+20=44
Current State: 88:[2, 44], Operations: ['94-74=20', '24+20=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
52,
45,
81,
61
] | 54 | [
"61-52=9",
"81/9=9",
"45+9=54"
] | Current State: 54:[52, 45, 81, 61], Operations: []
Exploring Operation: 61-52=9, Resulting Numbers: [45, 81, 9]
Generated Node #2: [45, 81, 9] from Operation: 61-52=9
Current State: 54:[45, 81, 9], Operations: ['61-52=9']
Exploring Operation: 81/9=9, Resulting Numbers: [45, 9]
Generated Node #3: [45, 9] from Operation: 81/9=9
Current State: 54:[45, 9], Operations: ['61-52=9', '81/9=9']
Exploring Operation: 45+9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
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