nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
31,
56,
32,
25
] | 81 | [
"32-31=1",
"56+25=81",
"1*81=81"
] | Current State: 81:[31, 56, 32, 25], Operations: []
Exploring Operation: 32-31=1, Resulting Numbers: [56, 25, 1]
Generated Node #2: [56, 25, 1] from Operation: 32-31=1
Current State: 81:[56, 25, 1], Operations: ['32-31=1']
Exploring Operation: 56+25=81, Resulting Numbers: [1, 81]
Generated Node #3: [1, 81] from Operation: 56+25=81
Current State: 81:[1, 81], Operations: ['32-31=1', '56+25=81']
Exploring Operation: 1*81=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
20,
87,
26,
6
] | 51 | [
"26-20=6",
"6*6=36",
"87-36=51"
] | Current State: 51:[20, 87, 26, 6], Operations: []
Exploring Operation: 26-20=6, Resulting Numbers: [87, 6, 6]
Generated Node #2: [87, 6, 6] from Operation: 26-20=6
Current State: 51:[87, 6, 6], Operations: ['26-20=6']
Exploring Operation: 6*6=36, Resulting Numbers: [87, 36]
Generated Node #3: [87, 36] from Operation: 6*6=36
Current State: 51:[87, 36], Operations: ['26-20=6', '6*6=36']
Exploring Operation: 87-36=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
7,
23,
71,
59
] | 31 | [
"7*23=161",
"71+59=130",
"161-130=31"
] | Current State: 31:[7, 23, 71, 59], Operations: []
Exploring Operation: 7*23=161, Resulting Numbers: [71, 59, 161]
Generated Node #2: [71, 59, 161] from Operation: 7*23=161
Current State: 31:[71, 59, 161], Operations: ['7*23=161']
Exploring Operation: 71+59=130, Resulting Numbers: [161, 130]
Generated Node #3: [161, 130] from Operation: 71+59=130
Current State: 31:[161, 130], Operations: ['7*23=161', '71+59=130']
Exploring Operation: 161-130=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
29,
5,
28,
36
] | 63 | [
"36-29=7",
"5*7=35",
"28+35=63"
] | Current State: 63:[29, 5, 28, 36], Operations: []
Exploring Operation: 36-29=7, Resulting Numbers: [5, 28, 7]
Generated Node #2: [5, 28, 7] from Operation: 36-29=7
Current State: 63:[5, 28, 7], Operations: ['36-29=7']
Exploring Operation: 5*7=35, Resulting Numbers: [28, 35]
Generated Node #3: [28, 35] from Operation: 5*7=35
Current State: 63:[28, 35], Operations: ['36-29=7', '5*7=35']
Exploring Operation: 28+35=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
95,
5,
2,
83
] | 97 | [
"95-5=90",
"2*90=180",
"180-83=97"
] | Current State: 97:[95, 5, 2, 83], Operations: []
Exploring Operation: 95-5=90, Resulting Numbers: [2, 83, 90]
Generated Node #2: [2, 83, 90] from Operation: 95-5=90
Current State: 97:[2, 83, 90], Operations: ['95-5=90']
Exploring Operation: 2*90=180, Resulting Numbers: [83, 180]
Generated Node #3: [83, 180] from Operation: 2*90=180
Current State: 97:[83, 180], Operations: ['95-5=90', '2*90=180']
Exploring Operation: 180-83=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
10,
5,
89,
37
] | 63 | [
"10/5=2",
"89+37=126",
"126/2=63"
] | Current State: 63:[10, 5, 89, 37], Operations: []
Exploring Operation: 10/5=2, Resulting Numbers: [89, 37, 2]
Generated Node #2: [89, 37, 2] from Operation: 10/5=2
Current State: 63:[89, 37, 2], Operations: ['10/5=2']
Exploring Operation: 89+37=126, Resulting Numbers: [2, 126]
Generated Node #3: [2, 126] from Operation: 89+37=126
Current State: 63:[2, 126], Operations: ['10/5=2', '89+37=126']
Exploring Operation: 126/2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
30,
32,
66,
68
] | 67 | [
"32-30=2",
"66+68=134",
"134/2=67"
] | Current State: 67:[30, 32, 66, 68], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [66, 68, 2]
Generated Node #2: [66, 68, 2] from Operation: 32-30=2
Current State: 67:[66, 68, 2], Operations: ['32-30=2']
Exploring Operation: 66+68=134, Resulting Numbers: [2, 134]
Generated Node #3: [2, 134] from Operation: 66+68=134
Current State: 67:[2, 134], Operations: ['32-30=2', '66+68=134']
Exploring Operation: 134/2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
63,
82,
5,
7
] | 21 | [
"82-63=19",
"7-5=2",
"19+2=21"
] | Current State: 21:[63, 82, 5, 7], Operations: []
Exploring Operation: 82-63=19, Resulting Numbers: [5, 7, 19]
Generated Node #2: [5, 7, 19] from Operation: 82-63=19
Current State: 21:[5, 7, 19], Operations: ['82-63=19']
Exploring Operation: 7-5=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 7-5=2
Current State: 21:[19, 2], Operations: ['82-63=19', '7-5=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
5,
83,
67,
42
] | 12 | [
"83+67=150",
"150/5=30",
"42-30=12"
] | Current State: 12:[5, 83, 67, 42], Operations: []
Exploring Operation: 83+67=150, Resulting Numbers: [5, 42, 150]
Generated Node #2: [5, 42, 150] from Operation: 83+67=150
Current State: 12:[5, 42, 150], Operations: ['83+67=150']
Exploring Operation: 150/5=30, Resulting Numbers: [42, 30]
Generated Node #3: [42, 30] from Operation: 150/5=30
Current State: 12:[42, 30], Operations: ['83+67=150', '150/5=30']
Exploring Operation: 42-30=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
84,
29,
25,
6
] | 27 | [
"29-25=4",
"84/4=21",
"6+21=27"
] | Current State: 27:[84, 29, 25, 6], Operations: []
Exploring Operation: 29-25=4, Resulting Numbers: [84, 6, 4]
Generated Node #2: [84, 6, 4] from Operation: 29-25=4
Current State: 27:[84, 6, 4], Operations: ['29-25=4']
Exploring Operation: 84/4=21, Resulting Numbers: [6, 21]
Generated Node #3: [6, 21] from Operation: 84/4=21
Current State: 27:[6, 21], Operations: ['29-25=4', '84/4=21']
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
73,
92,
47,
4
] | 62 | [
"92-73=19",
"47-4=43",
"19+43=62"
] | Current State: 62:[73, 92, 47, 4], Operations: []
Exploring Operation: 92-73=19, Resulting Numbers: [47, 4, 19]
Generated Node #2: [47, 4, 19] from Operation: 92-73=19
Current State: 62:[47, 4, 19], Operations: ['92-73=19']
Exploring Operation: 47-4=43, Resulting Numbers: [19, 43]
Generated Node #3: [19, 43] from Operation: 47-4=43
Current State: 62:[19, 43], Operations: ['92-73=19', '47-4=43']
Exploring Operation: 19+43=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
5,
92,
56,
53
] | 84 | [
"92-5=87",
"56-53=3",
"87-3=84"
] | Current State: 84:[5, 92, 56, 53], Operations: []
Exploring Operation: 92-5=87, Resulting Numbers: [56, 53, 87]
Generated Node #2: [56, 53, 87] from Operation: 92-5=87
Current State: 84:[56, 53, 87], Operations: ['92-5=87']
Exploring Operation: 56-53=3, Resulting Numbers: [87, 3]
Generated Node #3: [87, 3] from Operation: 56-53=3
Current State: 84:[87, 3], Operations: ['92-5=87', '56-53=3']
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
67,
10,
13,
14
] | 78 | [
"67+10=77",
"14-13=1",
"77+1=78"
] | Current State: 78:[67, 10, 13, 14], Operations: []
Exploring Operation: 67+10=77, Resulting Numbers: [13, 14, 77]
Generated Node #2: [13, 14, 77] from Operation: 67+10=77
Current State: 78:[13, 14, 77], Operations: ['67+10=77']
Exploring Operation: 14-13=1, Resulting Numbers: [77, 1]
Generated Node #3: [77, 1] from Operation: 14-13=1
Current State: 78:[77, 1], Operations: ['67+10=77', '14-13=1']
Exploring Operation: 77+1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
41,
86,
17,
24
] | 87 | [
"41-17=24",
"24/24=1",
"86+1=87"
] | Current State: 87:[41, 86, 17, 24], Operations: []
Exploring Operation: 41-17=24, Resulting Numbers: [86, 24, 24]
Generated Node #2: [86, 24, 24] from Operation: 41-17=24
Current State: 87:[86, 24, 24], Operations: ['41-17=24']
Exploring Operation: 24/24=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 24/24=1
Current State: 87:[86, 1], Operations: ['41-17=24', '24/24=1']
Exploring Operation: 86+1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
35,
40,
94,
33
] | 27 | [
"35-33=2",
"94-40=54",
"54/2=27"
] | Current State: 27:[35, 40, 94, 33], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [40, 94, 2]
Generated Node #2: [40, 94, 2] from Operation: 35-33=2
Current State: 27:[40, 94, 2], Operations: ['35-33=2']
Exploring Operation: 94-40=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 94-40=54
Current State: 27:[2, 54], Operations: ['35-33=2', '94-40=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
52,
54,
19,
44
] | 43 | [
"52+54=106",
"19+44=63",
"106-63=43"
] | Current State: 43:[52, 54, 19, 44], Operations: []
Exploring Operation: 52+54=106, Resulting Numbers: [19, 44, 106]
Generated Node #2: [19, 44, 106] from Operation: 52+54=106
Current State: 43:[19, 44, 106], Operations: ['52+54=106']
Exploring Operation: 19+44=63, Resulting Numbers: [106, 63]
Generated Node #3: [106, 63] from Operation: 19+44=63
Current State: 43:[106, 63], Operations: ['52+54=106', '19+44=63']
Exploring Operation: 106-63=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
11,
55,
50,
89
] | 99 | [
"55/11=5",
"50/5=10",
"89+10=99"
] | Current State: 99:[11, 55, 50, 89], Operations: []
Exploring Operation: 55/11=5, Resulting Numbers: [50, 89, 5]
Generated Node #2: [50, 89, 5] from Operation: 55/11=5
Current State: 99:[50, 89, 5], Operations: ['55/11=5']
Exploring Operation: 50/5=10, Resulting Numbers: [89, 10]
Generated Node #3: [89, 10] from Operation: 50/5=10
Current State: 99:[89, 10], Operations: ['55/11=5', '50/5=10']
Exploring Operation: 89+10=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
83,
13,
5,
48
] | 10 | [
"83+13=96",
"5*96=480",
"480/48=10"
] | Current State: 10:[83, 13, 5, 48], Operations: []
Exploring Operation: 83+13=96, Resulting Numbers: [5, 48, 96]
Generated Node #2: [5, 48, 96] from Operation: 83+13=96
Current State: 10:[5, 48, 96], Operations: ['83+13=96']
Exploring Operation: 5*96=480, Resulting Numbers: [48, 480]
Generated Node #3: [48, 480] from Operation: 5*96=480
Current State: 10:[48, 480], Operations: ['83+13=96', '5*96=480']
Exploring Operation: 480/48=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
59,
99,
24,
84
] | 99 | [
"59+24=83",
"84-83=1",
"99*1=99"
] | Current State: 99:[59, 99, 24, 84], Operations: []
Exploring Operation: 59+24=83, Resulting Numbers: [99, 84, 83]
Generated Node #2: [99, 84, 83] from Operation: 59+24=83
Current State: 99:[99, 84, 83], Operations: ['59+24=83']
Exploring Operation: 84-83=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 84-83=1
Current State: 99:[99, 1], Operations: ['59+24=83', '84-83=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
61,
41,
77,
65
] | 40 | [
"61+41=102",
"77+65=142",
"142-102=40"
] | Current State: 40:[61, 41, 77, 65], Operations: []
Exploring Operation: 61+41=102, Resulting Numbers: [77, 65, 102]
Generated Node #2: [77, 65, 102] from Operation: 61+41=102
Current State: 40:[77, 65, 102], Operations: ['61+41=102']
Exploring Operation: 77+65=142, Resulting Numbers: [102, 142]
Generated Node #3: [102, 142] from Operation: 77+65=142
Current State: 40:[102, 142], Operations: ['61+41=102', '77+65=142']
Exploring Operation: 142-102=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
82,
34,
49,
47
] | 46 | [
"82-34=48",
"49-47=2",
"48-2=46"
] | Current State: 46:[82, 34, 49, 47], Operations: []
Exploring Operation: 82-34=48, Resulting Numbers: [49, 47, 48]
Generated Node #2: [49, 47, 48] from Operation: 82-34=48
Current State: 46:[49, 47, 48], Operations: ['82-34=48']
Exploring Operation: 49-47=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 49-47=2
Current State: 46:[48, 2], Operations: ['82-34=48', '49-47=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
5,
90,
54,
35
] | 37 | [
"90/5=18",
"54-35=19",
"18+19=37"
] | Current State: 37:[5, 90, 54, 35], Operations: []
Exploring Operation: 90/5=18, Resulting Numbers: [54, 35, 18]
Generated Node #2: [54, 35, 18] from Operation: 90/5=18
Current State: 37:[54, 35, 18], Operations: ['90/5=18']
Exploring Operation: 54-35=19, Resulting Numbers: [18, 19]
Generated Node #3: [18, 19] from Operation: 54-35=19
Current State: 37:[18, 19], Operations: ['90/5=18', '54-35=19']
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
2,
43,
66,
1
] | 76 | [
"66/2=33",
"43*1=43",
"33+43=76"
] | Current State: 76:[2, 43, 66, 1], Operations: []
Exploring Operation: 66/2=33, Resulting Numbers: [43, 1, 33]
Generated Node #2: [43, 1, 33] from Operation: 66/2=33
Current State: 76:[43, 1, 33], Operations: ['66/2=33']
Exploring Operation: 43*1=43, Resulting Numbers: [33, 43]
Generated Node #3: [33, 43] from Operation: 43*1=43
Current State: 76:[33, 43], Operations: ['66/2=33', '43*1=43']
Exploring Operation: 33+43=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
73,
59,
58,
5
] | 56 | [
"73-58=15",
"15/5=3",
"59-3=56"
] | Current State: 56:[73, 59, 58, 5], Operations: []
Exploring Operation: 73-58=15, Resulting Numbers: [59, 5, 15]
Generated Node #2: [59, 5, 15] from Operation: 73-58=15
Current State: 56:[59, 5, 15], Operations: ['73-58=15']
Exploring Operation: 15/5=3, Resulting Numbers: [59, 3]
Generated Node #3: [59, 3] from Operation: 15/5=3
Current State: 56:[59, 3], Operations: ['73-58=15', '15/5=3']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
64,
2,
87,
83
] | 58 | [
"64-2=62",
"87-83=4",
"62-4=58"
] | Current State: 58:[64, 2, 87, 83], Operations: []
Exploring Operation: 64-2=62, Resulting Numbers: [87, 83, 62]
Generated Node #2: [87, 83, 62] from Operation: 64-2=62
Current State: 58:[87, 83, 62], Operations: ['64-2=62']
Exploring Operation: 87-83=4, Resulting Numbers: [62, 4]
Generated Node #3: [62, 4] from Operation: 87-83=4
Current State: 58:[62, 4], Operations: ['64-2=62', '87-83=4']
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
71,
37,
47,
61
] | 74 | [
"71-37=34",
"47+61=108",
"108-34=74"
] | Current State: 74:[71, 37, 47, 61], Operations: []
Exploring Operation: 71-37=34, Resulting Numbers: [47, 61, 34]
Generated Node #2: [47, 61, 34] from Operation: 71-37=34
Current State: 74:[47, 61, 34], Operations: ['71-37=34']
Exploring Operation: 47+61=108, Resulting Numbers: [34, 108]
Generated Node #3: [34, 108] from Operation: 47+61=108
Current State: 74:[34, 108], Operations: ['71-37=34', '47+61=108']
Exploring Operation: 108-34=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
72,
82,
63,
9
] | 64 | [
"82-72=10",
"63-9=54",
"10+54=64"
] | Current State: 64:[72, 82, 63, 9], Operations: []
Exploring Operation: 82-72=10, Resulting Numbers: [63, 9, 10]
Generated Node #2: [63, 9, 10] from Operation: 82-72=10
Current State: 64:[63, 9, 10], Operations: ['82-72=10']
Exploring Operation: 63-9=54, Resulting Numbers: [10, 54]
Generated Node #3: [10, 54] from Operation: 63-9=54
Current State: 64:[10, 54], Operations: ['82-72=10', '63-9=54']
Exploring Operation: 10+54=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
13,
86,
1,
9
] | 31 | [
"13*1=13",
"9*13=117",
"117-86=31"
] | Current State: 31:[13, 86, 1, 9], Operations: []
Exploring Operation: 13*1=13, Resulting Numbers: [86, 9, 13]
Generated Node #2: [86, 9, 13] from Operation: 13*1=13
Current State: 31:[86, 9, 13], Operations: ['13*1=13']
Exploring Operation: 9*13=117, Resulting Numbers: [86, 117]
Generated Node #3: [86, 117] from Operation: 9*13=117
Current State: 31:[86, 117], Operations: ['13*1=13', '9*13=117']
Exploring Operation: 117-86=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
42,
91,
97,
29
] | 77 | [
"91-42=49",
"97+29=126",
"126-49=77"
] | Current State: 77:[42, 91, 97, 29], Operations: []
Exploring Operation: 91-42=49, Resulting Numbers: [97, 29, 49]
Generated Node #2: [97, 29, 49] from Operation: 91-42=49
Current State: 77:[97, 29, 49], Operations: ['91-42=49']
Exploring Operation: 97+29=126, Resulting Numbers: [49, 126]
Generated Node #3: [49, 126] from Operation: 97+29=126
Current State: 77:[49, 126], Operations: ['91-42=49', '97+29=126']
Exploring Operation: 126-49=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
52,
70,
79,
62
] | 35 | [
"70-52=18",
"79-62=17",
"18+17=35"
] | Current State: 35:[52, 70, 79, 62], Operations: []
Exploring Operation: 70-52=18, Resulting Numbers: [79, 62, 18]
Generated Node #2: [79, 62, 18] from Operation: 70-52=18
Current State: 35:[79, 62, 18], Operations: ['70-52=18']
Exploring Operation: 79-62=17, Resulting Numbers: [18, 17]
Generated Node #3: [18, 17] from Operation: 79-62=17
Current State: 35:[18, 17], Operations: ['70-52=18', '79-62=17']
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
14,
63,
16,
48
] | 46 | [
"63-14=49",
"48/16=3",
"49-3=46"
] | Current State: 46:[14, 63, 16, 48], Operations: []
Exploring Operation: 63-14=49, Resulting Numbers: [16, 48, 49]
Generated Node #2: [16, 48, 49] from Operation: 63-14=49
Current State: 46:[16, 48, 49], Operations: ['63-14=49']
Exploring Operation: 48/16=3, Resulting Numbers: [49, 3]
Generated Node #3: [49, 3] from Operation: 48/16=3
Current State: 46:[49, 3], Operations: ['63-14=49', '48/16=3']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
77,
43,
40,
37
] | 31 | [
"77-43=34",
"40-37=3",
"34-3=31"
] | Current State: 31:[77, 43, 40, 37], Operations: []
Exploring Operation: 77-43=34, Resulting Numbers: [40, 37, 34]
Generated Node #2: [40, 37, 34] from Operation: 77-43=34
Current State: 31:[40, 37, 34], Operations: ['77-43=34']
Exploring Operation: 40-37=3, Resulting Numbers: [34, 3]
Generated Node #3: [34, 3] from Operation: 40-37=3
Current State: 31:[34, 3], Operations: ['77-43=34', '40-37=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
41,
50,
24,
71
] | 56 | [
"50-41=9",
"71-24=47",
"9+47=56"
] | Current State: 56:[41, 50, 24, 71], Operations: []
Exploring Operation: 50-41=9, Resulting Numbers: [24, 71, 9]
Generated Node #2: [24, 71, 9] from Operation: 50-41=9
Current State: 56:[24, 71, 9], Operations: ['50-41=9']
Exploring Operation: 71-24=47, Resulting Numbers: [9, 47]
Generated Node #3: [9, 47] from Operation: 71-24=47
Current State: 56:[9, 47], Operations: ['50-41=9', '71-24=47']
Exploring Operation: 9+47=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
89,
95,
21,
82
] | 67 | [
"95-89=6",
"82-21=61",
"6+61=67"
] | Current State: 67:[89, 95, 21, 82], Operations: []
Exploring Operation: 95-89=6, Resulting Numbers: [21, 82, 6]
Generated Node #2: [21, 82, 6] from Operation: 95-89=6
Current State: 67:[21, 82, 6], Operations: ['95-89=6']
Exploring Operation: 82-21=61, Resulting Numbers: [6, 61]
Generated Node #3: [6, 61] from Operation: 82-21=61
Current State: 67:[6, 61], Operations: ['95-89=6', '82-21=61']
Exploring Operation: 6+61=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
19,
90,
68,
85
] | 45 | [
"19+68=87",
"87-85=2",
"90/2=45"
] | Current State: 45:[19, 90, 68, 85], Operations: []
Exploring Operation: 19+68=87, Resulting Numbers: [90, 85, 87]
Generated Node #2: [90, 85, 87] from Operation: 19+68=87
Current State: 45:[90, 85, 87], Operations: ['19+68=87']
Exploring Operation: 87-85=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 87-85=2
Current State: 45:[90, 2], Operations: ['19+68=87', '87-85=2']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
84,
64,
24,
94
] | 98 | [
"84-64=20",
"24+94=118",
"118-20=98"
] | Current State: 98:[84, 64, 24, 94], Operations: []
Exploring Operation: 84-64=20, Resulting Numbers: [24, 94, 20]
Generated Node #2: [24, 94, 20] from Operation: 84-64=20
Current State: 98:[24, 94, 20], Operations: ['84-64=20']
Exploring Operation: 24+94=118, Resulting Numbers: [20, 118]
Generated Node #3: [20, 118] from Operation: 24+94=118
Current State: 98:[20, 118], Operations: ['84-64=20', '24+94=118']
Exploring Operation: 118-20=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
95,
6,
97,
76
] | 19 | [
"95+6=101",
"101-97=4",
"76/4=19"
] | Current State: 19:[95, 6, 97, 76], Operations: []
Exploring Operation: 95+6=101, Resulting Numbers: [97, 76, 101]
Generated Node #2: [97, 76, 101] from Operation: 95+6=101
Current State: 19:[97, 76, 101], Operations: ['95+6=101']
Exploring Operation: 101-97=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 101-97=4
Current State: 19:[76, 4], Operations: ['95+6=101', '101-97=4']
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
71,
68,
43,
73
] | 93 | [
"73-71=2",
"68*2=136",
"136-43=93"
] | Current State: 93:[71, 68, 43, 73], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [68, 43, 2]
Generated Node #2: [68, 43, 2] from Operation: 73-71=2
Current State: 93:[68, 43, 2], Operations: ['73-71=2']
Exploring Operation: 68*2=136, Resulting Numbers: [43, 136]
Generated Node #3: [43, 136] from Operation: 68*2=136
Current State: 93:[43, 136], Operations: ['73-71=2', '68*2=136']
Exploring Operation: 136-43=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
90,
12,
62,
43
] | 97 | [
"90-12=78",
"62-43=19",
"78+19=97"
] | Current State: 97:[90, 12, 62, 43], Operations: []
Exploring Operation: 90-12=78, Resulting Numbers: [62, 43, 78]
Generated Node #2: [62, 43, 78] from Operation: 90-12=78
Current State: 97:[62, 43, 78], Operations: ['90-12=78']
Exploring Operation: 62-43=19, Resulting Numbers: [78, 19]
Generated Node #3: [78, 19] from Operation: 62-43=19
Current State: 97:[78, 19], Operations: ['90-12=78', '62-43=19']
Exploring Operation: 78+19=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
33,
71,
17,
72
] | 50 | [
"33+17=50",
"72-71=1",
"50*1=50"
] | Current State: 50:[33, 71, 17, 72], Operations: []
Exploring Operation: 33+17=50, Resulting Numbers: [71, 72, 50]
Generated Node #2: [71, 72, 50] from Operation: 33+17=50
Current State: 50:[71, 72, 50], Operations: ['33+17=50']
Exploring Operation: 72-71=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 72-71=1
Current State: 50:[50, 1], Operations: ['33+17=50', '72-71=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
19,
39,
21,
6
] | 70 | [
"39-19=20",
"21*20=420",
"420/6=70"
] | Current State: 70:[19, 39, 21, 6], Operations: []
Exploring Operation: 39-19=20, Resulting Numbers: [21, 6, 20]
Generated Node #2: [21, 6, 20] from Operation: 39-19=20
Current State: 70:[21, 6, 20], Operations: ['39-19=20']
Exploring Operation: 21*20=420, Resulting Numbers: [6, 420]
Generated Node #3: [6, 420] from Operation: 21*20=420
Current State: 70:[6, 420], Operations: ['39-19=20', '21*20=420']
Exploring Operation: 420/6=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
96,
54,
83,
2
] | 16 | [
"96+54=150",
"83*2=166",
"166-150=16"
] | Current State: 16:[96, 54, 83, 2], Operations: []
Exploring Operation: 96+54=150, Resulting Numbers: [83, 2, 150]
Generated Node #2: [83, 2, 150] from Operation: 96+54=150
Current State: 16:[83, 2, 150], Operations: ['96+54=150']
Exploring Operation: 83*2=166, Resulting Numbers: [150, 166]
Generated Node #3: [150, 166] from Operation: 83*2=166
Current State: 16:[150, 166], Operations: ['96+54=150', '83*2=166']
Exploring Operation: 166-150=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
49,
63,
66,
85
] | 62 | [
"66-63=3",
"49*3=147",
"147-85=62"
] | Current State: 62:[49, 63, 66, 85], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [49, 85, 3]
Generated Node #2: [49, 85, 3] from Operation: 66-63=3
Current State: 62:[49, 85, 3], Operations: ['66-63=3']
Exploring Operation: 49*3=147, Resulting Numbers: [85, 147]
Generated Node #3: [85, 147] from Operation: 49*3=147
Current State: 62:[85, 147], Operations: ['66-63=3', '49*3=147']
Exploring Operation: 147-85=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
29,
68,
68,
56
] | 26 | [
"56-29=27",
"68/68=1",
"27-1=26"
] | Current State: 26:[29, 68, 68, 56], Operations: []
Exploring Operation: 56-29=27, Resulting Numbers: [68, 68, 27]
Generated Node #2: [68, 68, 27] from Operation: 56-29=27
Current State: 26:[68, 68, 27], Operations: ['56-29=27']
Exploring Operation: 68/68=1, Resulting Numbers: [27, 1]
Generated Node #3: [27, 1] from Operation: 68/68=1
Current State: 26:[27, 1], Operations: ['56-29=27', '68/68=1']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
54,
8,
40,
97
] | 91 | [
"54-8=46",
"40+97=137",
"137-46=91"
] | Current State: 91:[54, 8, 40, 97], Operations: []
Exploring Operation: 54-8=46, Resulting Numbers: [40, 97, 46]
Generated Node #2: [40, 97, 46] from Operation: 54-8=46
Current State: 91:[40, 97, 46], Operations: ['54-8=46']
Exploring Operation: 40+97=137, Resulting Numbers: [46, 137]
Generated Node #3: [46, 137] from Operation: 40+97=137
Current State: 91:[46, 137], Operations: ['54-8=46', '40+97=137']
Exploring Operation: 137-46=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
38,
70,
26,
51
] | 52 | [
"38*26=988",
"70-51=19",
"988/19=52"
] | Current State: 52:[38, 70, 26, 51], Operations: []
Exploring Operation: 38*26=988, Resulting Numbers: [70, 51, 988]
Generated Node #2: [70, 51, 988] from Operation: 38*26=988
Current State: 52:[70, 51, 988], Operations: ['38*26=988']
Exploring Operation: 70-51=19, Resulting Numbers: [988, 19]
Generated Node #3: [988, 19] from Operation: 70-51=19
Current State: 52:[988, 19], Operations: ['38*26=988', '70-51=19']
Exploring Operation: 988/19=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
36,
3,
13,
79
] | 42 | [
"36*3=108",
"79-13=66",
"108-66=42"
] | Current State: 42:[36, 3, 13, 79], Operations: []
Exploring Operation: 36*3=108, Resulting Numbers: [13, 79, 108]
Generated Node #2: [13, 79, 108] from Operation: 36*3=108
Current State: 42:[13, 79, 108], Operations: ['36*3=108']
Exploring Operation: 79-13=66, Resulting Numbers: [108, 66]
Generated Node #3: [108, 66] from Operation: 79-13=66
Current State: 42:[108, 66], Operations: ['36*3=108', '79-13=66']
Exploring Operation: 108-66=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
7,
91,
96,
31
] | 78 | [
"91/7=13",
"96-31=65",
"13+65=78"
] | Current State: 78:[7, 91, 96, 31], Operations: []
Exploring Operation: 91/7=13, Resulting Numbers: [96, 31, 13]
Generated Node #2: [96, 31, 13] from Operation: 91/7=13
Current State: 78:[96, 31, 13], Operations: ['91/7=13']
Exploring Operation: 96-31=65, Resulting Numbers: [13, 65]
Generated Node #3: [13, 65] from Operation: 96-31=65
Current State: 78:[13, 65], Operations: ['91/7=13', '96-31=65']
Exploring Operation: 13+65=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
4,
9,
14,
89
] | 90 | [
"4+9=13",
"14+89=103",
"103-13=90"
] | Current State: 90:[4, 9, 14, 89], Operations: []
Exploring Operation: 4+9=13, Resulting Numbers: [14, 89, 13]
Generated Node #2: [14, 89, 13] from Operation: 4+9=13
Current State: 90:[14, 89, 13], Operations: ['4+9=13']
Exploring Operation: 14+89=103, Resulting Numbers: [13, 103]
Generated Node #3: [13, 103] from Operation: 14+89=103
Current State: 90:[13, 103], Operations: ['4+9=13', '14+89=103']
Exploring Operation: 103-13=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
4,
2,
7,
60
] | 29 | [
"60/4=15",
"2*7=14",
"15+14=29"
] | Current State: 29:[4, 2, 7, 60], Operations: []
Exploring Operation: 60/4=15, Resulting Numbers: [2, 7, 15]
Generated Node #2: [2, 7, 15] from Operation: 60/4=15
Current State: 29:[2, 7, 15], Operations: ['60/4=15']
Exploring Operation: 2*7=14, Resulting Numbers: [15, 14]
Generated Node #3: [15, 14] from Operation: 2*7=14
Current State: 29:[15, 14], Operations: ['60/4=15', '2*7=14']
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
8,
31,
64,
52
] | 13 | [
"64/8=8",
"52-31=21",
"21-8=13"
] | Current State: 13:[8, 31, 64, 52], Operations: []
Exploring Operation: 64/8=8, Resulting Numbers: [31, 52, 8]
Generated Node #2: [31, 52, 8] from Operation: 64/8=8
Current State: 13:[31, 52, 8], Operations: ['64/8=8']
Exploring Operation: 52-31=21, Resulting Numbers: [8, 21]
Generated Node #3: [8, 21] from Operation: 52-31=21
Current State: 13:[8, 21], Operations: ['64/8=8', '52-31=21']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
16,
1,
90,
20
] | 71 | [
"16*90=1440",
"1440/20=72",
"72-1=71"
] | Current State: 71:[16, 1, 90, 20], Operations: []
Exploring Operation: 16*90=1440, Resulting Numbers: [1, 20, 1440]
Generated Node #2: [1, 20, 1440] from Operation: 16*90=1440
Current State: 71:[1, 20, 1440], Operations: ['16*90=1440']
Exploring Operation: 1440/20=72, Resulting Numbers: [1, 72]
Generated Node #3: [1, 72] from Operation: 1440/20=72
Current State: 71:[1, 72], Operations: ['16*90=1440', '1440/20=72']
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
88,
52,
63,
4
] | 32 | [
"88*4=352",
"63-52=11",
"352/11=32"
] | Current State: 32:[88, 52, 63, 4], Operations: []
Exploring Operation: 88*4=352, Resulting Numbers: [52, 63, 352]
Generated Node #2: [52, 63, 352] from Operation: 88*4=352
Current State: 32:[52, 63, 352], Operations: ['88*4=352']
Exploring Operation: 63-52=11, Resulting Numbers: [352, 11]
Generated Node #3: [352, 11] from Operation: 63-52=11
Current State: 32:[352, 11], Operations: ['88*4=352', '63-52=11']
Exploring Operation: 352/11=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
51,
21,
40,
54
] | 72 | [
"51-21=30",
"40*54=2160",
"2160/30=72"
] | Current State: 72:[51, 21, 40, 54], Operations: []
Exploring Operation: 51-21=30, Resulting Numbers: [40, 54, 30]
Generated Node #2: [40, 54, 30] from Operation: 51-21=30
Current State: 72:[40, 54, 30], Operations: ['51-21=30']
Exploring Operation: 40*54=2160, Resulting Numbers: [30, 2160]
Generated Node #3: [30, 2160] from Operation: 40*54=2160
Current State: 72:[30, 2160], Operations: ['51-21=30', '40*54=2160']
Exploring Operation: 2160/30=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
51,
1,
67,
65
] | 49 | [
"51*1=51",
"67-65=2",
"51-2=49"
] | Current State: 49:[51, 1, 67, 65], Operations: []
Exploring Operation: 51*1=51, Resulting Numbers: [67, 65, 51]
Generated Node #2: [67, 65, 51] from Operation: 51*1=51
Current State: 49:[67, 65, 51], Operations: ['51*1=51']
Exploring Operation: 67-65=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 67-65=2
Current State: 49:[51, 2], Operations: ['51*1=51', '67-65=2']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
33,
35,
68,
83
] | 98 | [
"35-33=2",
"83*2=166",
"166-68=98"
] | Current State: 98:[33, 35, 68, 83], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [68, 83, 2]
Generated Node #2: [68, 83, 2] from Operation: 35-33=2
Current State: 98:[68, 83, 2], Operations: ['35-33=2']
Exploring Operation: 83*2=166, Resulting Numbers: [68, 166]
Generated Node #3: [68, 166] from Operation: 83*2=166
Current State: 98:[68, 166], Operations: ['35-33=2', '83*2=166']
Exploring Operation: 166-68=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
73,
18,
95,
2
] | 13 | [
"95-73=22",
"18/2=9",
"22-9=13"
] | Current State: 13:[73, 18, 95, 2], Operations: []
Exploring Operation: 95-73=22, Resulting Numbers: [18, 2, 22]
Generated Node #2: [18, 2, 22] from Operation: 95-73=22
Current State: 13:[18, 2, 22], Operations: ['95-73=22']
Exploring Operation: 18/2=9, Resulting Numbers: [22, 9]
Generated Node #3: [22, 9] from Operation: 18/2=9
Current State: 13:[22, 9], Operations: ['95-73=22', '18/2=9']
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
73,
94,
35,
96
] | 82 | [
"94-73=21",
"96-35=61",
"21+61=82"
] | Current State: 82:[73, 94, 35, 96], Operations: []
Exploring Operation: 94-73=21, Resulting Numbers: [35, 96, 21]
Generated Node #2: [35, 96, 21] from Operation: 94-73=21
Current State: 82:[35, 96, 21], Operations: ['94-73=21']
Exploring Operation: 96-35=61, Resulting Numbers: [21, 61]
Generated Node #3: [21, 61] from Operation: 96-35=61
Current State: 82:[21, 61], Operations: ['94-73=21', '96-35=61']
Exploring Operation: 21+61=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
64,
38,
12,
34
] | 16 | [
"38-34=4",
"12*4=48",
"64-48=16"
] | Current State: 16:[64, 38, 12, 34], Operations: []
Exploring Operation: 38-34=4, Resulting Numbers: [64, 12, 4]
Generated Node #2: [64, 12, 4] from Operation: 38-34=4
Current State: 16:[64, 12, 4], Operations: ['38-34=4']
Exploring Operation: 12*4=48, Resulting Numbers: [64, 48]
Generated Node #3: [64, 48] from Operation: 12*4=48
Current State: 16:[64, 48], Operations: ['38-34=4', '12*4=48']
Exploring Operation: 64-48=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
23,
39,
14,
11
] | 21 | [
"39-11=28",
"28/14=2",
"23-2=21"
] | Current State: 21:[23, 39, 14, 11], Operations: []
Exploring Operation: 39-11=28, Resulting Numbers: [23, 14, 28]
Generated Node #2: [23, 14, 28] from Operation: 39-11=28
Current State: 21:[23, 14, 28], Operations: ['39-11=28']
Exploring Operation: 28/14=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 28/14=2
Current State: 21:[23, 2], Operations: ['39-11=28', '28/14=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
41,
3,
5,
80
] | 81 | [
"5-3=2",
"80/2=40",
"41+40=81"
] | Current State: 81:[41, 3, 5, 80], Operations: []
Exploring Operation: 5-3=2, Resulting Numbers: [41, 80, 2]
Generated Node #2: [41, 80, 2] from Operation: 5-3=2
Current State: 81:[41, 80, 2], Operations: ['5-3=2']
Exploring Operation: 80/2=40, Resulting Numbers: [41, 40]
Generated Node #3: [41, 40] from Operation: 80/2=40
Current State: 81:[41, 40], Operations: ['5-3=2', '80/2=40']
Exploring Operation: 41+40=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
26,
69,
88,
61
] | 68 | [
"26+69=95",
"88-61=27",
"95-27=68"
] | Current State: 68:[26, 69, 88, 61], Operations: []
Exploring Operation: 26+69=95, Resulting Numbers: [88, 61, 95]
Generated Node #2: [88, 61, 95] from Operation: 26+69=95
Current State: 68:[88, 61, 95], Operations: ['26+69=95']
Exploring Operation: 88-61=27, Resulting Numbers: [95, 27]
Generated Node #3: [95, 27] from Operation: 88-61=27
Current State: 68:[95, 27], Operations: ['26+69=95', '88-61=27']
Exploring Operation: 95-27=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
40,
83,
22,
8
] | 93 | [
"40+83=123",
"22+8=30",
"123-30=93"
] | Current State: 93:[40, 83, 22, 8], Operations: []
Exploring Operation: 40+83=123, Resulting Numbers: [22, 8, 123]
Generated Node #2: [22, 8, 123] from Operation: 40+83=123
Current State: 93:[22, 8, 123], Operations: ['40+83=123']
Exploring Operation: 22+8=30, Resulting Numbers: [123, 30]
Generated Node #3: [123, 30] from Operation: 22+8=30
Current State: 93:[123, 30], Operations: ['40+83=123', '22+8=30']
Exploring Operation: 123-30=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
35,
57,
96,
12
] | 100 | [
"35+57=92",
"96/12=8",
"92+8=100"
] | Current State: 100:[35, 57, 96, 12], Operations: []
Exploring Operation: 35+57=92, Resulting Numbers: [96, 12, 92]
Generated Node #2: [96, 12, 92] from Operation: 35+57=92
Current State: 100:[96, 12, 92], Operations: ['35+57=92']
Exploring Operation: 96/12=8, Resulting Numbers: [92, 8]
Generated Node #3: [92, 8] from Operation: 96/12=8
Current State: 100:[92, 8], Operations: ['35+57=92', '96/12=8']
Exploring Operation: 92+8=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
30,
12,
75,
20
] | 95 | [
"75*20=1500",
"1500/12=125",
"125-30=95"
] | Current State: 95:[30, 12, 75, 20], Operations: []
Exploring Operation: 75*20=1500, Resulting Numbers: [30, 12, 1500]
Generated Node #2: [30, 12, 1500] from Operation: 75*20=1500
Current State: 95:[30, 12, 1500], Operations: ['75*20=1500']
Exploring Operation: 1500/12=125, Resulting Numbers: [30, 125]
Generated Node #3: [30, 125] from Operation: 1500/12=125
Current State: 95:[30, 125], Operations: ['75*20=1500', '1500/12=125']
Exploring Operation: 125-30=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
17,
86,
76,
38
] | 45 | [
"86-17=69",
"76+38=114",
"114-69=45"
] | Current State: 45:[17, 86, 76, 38], Operations: []
Exploring Operation: 86-17=69, Resulting Numbers: [76, 38, 69]
Generated Node #2: [76, 38, 69] from Operation: 86-17=69
Current State: 45:[76, 38, 69], Operations: ['86-17=69']
Exploring Operation: 76+38=114, Resulting Numbers: [69, 114]
Generated Node #3: [69, 114] from Operation: 76+38=114
Current State: 45:[69, 114], Operations: ['86-17=69', '76+38=114']
Exploring Operation: 114-69=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
68,
50,
21,
4
] | 66 | [
"68-50=18",
"21*4=84",
"84-18=66"
] | Current State: 66:[68, 50, 21, 4], Operations: []
Exploring Operation: 68-50=18, Resulting Numbers: [21, 4, 18]
Generated Node #2: [21, 4, 18] from Operation: 68-50=18
Current State: 66:[21, 4, 18], Operations: ['68-50=18']
Exploring Operation: 21*4=84, Resulting Numbers: [18, 84]
Generated Node #3: [18, 84] from Operation: 21*4=84
Current State: 66:[18, 84], Operations: ['68-50=18', '21*4=84']
Exploring Operation: 84-18=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
44,
19,
22,
90
] | 52 | [
"44*19=836",
"836/22=38",
"90-38=52"
] | Current State: 52:[44, 19, 22, 90], Operations: []
Exploring Operation: 44*19=836, Resulting Numbers: [22, 90, 836]
Generated Node #2: [22, 90, 836] from Operation: 44*19=836
Current State: 52:[22, 90, 836], Operations: ['44*19=836']
Exploring Operation: 836/22=38, Resulting Numbers: [90, 38]
Generated Node #3: [90, 38] from Operation: 836/22=38
Current State: 52:[90, 38], Operations: ['44*19=836', '836/22=38']
Exploring Operation: 90-38=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
52,
46,
17,
12
] | 50 | [
"46-12=34",
"34/17=2",
"52-2=50"
] | Current State: 50:[52, 46, 17, 12], Operations: []
Exploring Operation: 46-12=34, Resulting Numbers: [52, 17, 34]
Generated Node #2: [52, 17, 34] from Operation: 46-12=34
Current State: 50:[52, 17, 34], Operations: ['46-12=34']
Exploring Operation: 34/17=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 34/17=2
Current State: 50:[52, 2], Operations: ['46-12=34', '34/17=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
13,
3,
18,
3
] | 70 | [
"13+3=16",
"18*3=54",
"16+54=70"
] | Current State: 70:[13, 3, 18, 3], Operations: []
Exploring Operation: 13+3=16, Resulting Numbers: [18, 16]
Generated Node #2: [18, 16] from Operation: 13+3=16
Current State: 70:[18, 16], Operations: ['13+3=16']
Exploring Operation: 18*3=54, Resulting Numbers: [16, 54]
Generated Node #3: [16, 54] from Operation: 18*3=54
Current State: 70:[16, 54], Operations: ['13+3=16', '18*3=54']
Exploring Operation: 16+54=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
75,
98,
17,
68
] | 92 | [
"98-75=23",
"68/17=4",
"23*4=92"
] | Current State: 92:[75, 98, 17, 68], Operations: []
Exploring Operation: 98-75=23, Resulting Numbers: [17, 68, 23]
Generated Node #2: [17, 68, 23] from Operation: 98-75=23
Current State: 92:[17, 68, 23], Operations: ['98-75=23']
Exploring Operation: 68/17=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 68/17=4
Current State: 92:[23, 4], Operations: ['98-75=23', '68/17=4']
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
2,
22,
11,
12
] | 57 | [
"2*12=24",
"22+11=33",
"24+33=57"
] | Current State: 57:[2, 22, 11, 12], Operations: []
Exploring Operation: 2*12=24, Resulting Numbers: [22, 11, 24]
Generated Node #2: [22, 11, 24] from Operation: 2*12=24
Current State: 57:[22, 11, 24], Operations: ['2*12=24']
Exploring Operation: 22+11=33, Resulting Numbers: [24, 33]
Generated Node #3: [24, 33] from Operation: 22+11=33
Current State: 57:[24, 33], Operations: ['2*12=24', '22+11=33']
Exploring Operation: 24+33=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
60,
25,
88,
9
] | 53 | [
"88-25=63",
"63/9=7",
"60-7=53"
] | Current State: 53:[60, 25, 88, 9], Operations: []
Exploring Operation: 88-25=63, Resulting Numbers: [60, 9, 63]
Generated Node #2: [60, 9, 63] from Operation: 88-25=63
Current State: 53:[60, 9, 63], Operations: ['88-25=63']
Exploring Operation: 63/9=7, Resulting Numbers: [60, 7]
Generated Node #3: [60, 7] from Operation: 63/9=7
Current State: 53:[60, 7], Operations: ['88-25=63', '63/9=7']
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
72,
91,
58,
23
] | 100 | [
"91-72=19",
"58+23=81",
"19+81=100"
] | Current State: 100:[72, 91, 58, 23], Operations: []
Exploring Operation: 91-72=19, Resulting Numbers: [58, 23, 19]
Generated Node #2: [58, 23, 19] from Operation: 91-72=19
Current State: 100:[58, 23, 19], Operations: ['91-72=19']
Exploring Operation: 58+23=81, Resulting Numbers: [19, 81]
Generated Node #3: [19, 81] from Operation: 58+23=81
Current State: 100:[19, 81], Operations: ['91-72=19', '58+23=81']
Exploring Operation: 19+81=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
76,
77,
75,
15
] | 62 | [
"76-75=1",
"77-15=62",
"1*62=62"
] | Current State: 62:[76, 77, 75, 15], Operations: []
Exploring Operation: 76-75=1, Resulting Numbers: [77, 15, 1]
Generated Node #2: [77, 15, 1] from Operation: 76-75=1
Current State: 62:[77, 15, 1], Operations: ['76-75=1']
Exploring Operation: 77-15=62, Resulting Numbers: [1, 62]
Generated Node #3: [1, 62] from Operation: 77-15=62
Current State: 62:[1, 62], Operations: ['76-75=1', '77-15=62']
Exploring Operation: 1*62=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
21,
65,
67,
12
] | 15 | [
"67-65=2",
"12/2=6",
"21-6=15"
] | Current State: 15:[21, 65, 67, 12], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [21, 12, 2]
Generated Node #2: [21, 12, 2] from Operation: 67-65=2
Current State: 15:[21, 12, 2], Operations: ['67-65=2']
Exploring Operation: 12/2=6, Resulting Numbers: [21, 6]
Generated Node #3: [21, 6] from Operation: 12/2=6
Current State: 15:[21, 6], Operations: ['67-65=2', '12/2=6']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
13,
3,
91,
65
] | 75 | [
"91/13=7",
"3+65=68",
"7+68=75"
] | Current State: 75:[13, 3, 91, 65], Operations: []
Exploring Operation: 91/13=7, Resulting Numbers: [3, 65, 7]
Generated Node #2: [3, 65, 7] from Operation: 91/13=7
Current State: 75:[3, 65, 7], Operations: ['91/13=7']
Exploring Operation: 3+65=68, Resulting Numbers: [7, 68]
Generated Node #3: [7, 68] from Operation: 3+65=68
Current State: 75:[7, 68], Operations: ['91/13=7', '3+65=68']
Exploring Operation: 7+68=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
78,
72,
72,
20
] | 57 | [
"78-20=58",
"72/72=1",
"58-1=57"
] | Current State: 57:[78, 72, 72, 20], Operations: []
Exploring Operation: 78-20=58, Resulting Numbers: [72, 72, 58]
Generated Node #2: [72, 72, 58] from Operation: 78-20=58
Current State: 57:[72, 72, 58], Operations: ['78-20=58']
Exploring Operation: 72/72=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 72/72=1
Current State: 57:[58, 1], Operations: ['78-20=58', '72/72=1']
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
34,
34,
90,
15
] | 76 | [
"34/34=1",
"90-15=75",
"1+75=76"
] | Current State: 76:[34, 34, 90, 15], Operations: []
Exploring Operation: 34/34=1, Resulting Numbers: [90, 15, 1]
Generated Node #2: [90, 15, 1] from Operation: 34/34=1
Current State: 76:[90, 15, 1], Operations: ['34/34=1']
Exploring Operation: 90-15=75, Resulting Numbers: [1, 75]
Generated Node #3: [1, 75] from Operation: 90-15=75
Current State: 76:[1, 75], Operations: ['34/34=1', '90-15=75']
Exploring Operation: 1+75=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
7,
58,
91,
8
] | 48 | [
"58-7=51",
"91+8=99",
"99-51=48"
] | Current State: 48:[7, 58, 91, 8], Operations: []
Exploring Operation: 58-7=51, Resulting Numbers: [91, 8, 51]
Generated Node #2: [91, 8, 51] from Operation: 58-7=51
Current State: 48:[91, 8, 51], Operations: ['58-7=51']
Exploring Operation: 91+8=99, Resulting Numbers: [51, 99]
Generated Node #3: [51, 99] from Operation: 91+8=99
Current State: 48:[51, 99], Operations: ['58-7=51', '91+8=99']
Exploring Operation: 99-51=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
34,
68,
66,
62
] | 29 | [
"68/34=2",
"66/2=33",
"62-33=29"
] | Current State: 29:[34, 68, 66, 62], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [66, 62, 2]
Generated Node #2: [66, 62, 2] from Operation: 68/34=2
Current State: 29:[66, 62, 2], Operations: ['68/34=2']
Exploring Operation: 66/2=33, Resulting Numbers: [62, 33]
Generated Node #3: [62, 33] from Operation: 66/2=33
Current State: 29:[62, 33], Operations: ['68/34=2', '66/2=33']
Exploring Operation: 62-33=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
76,
47,
27,
30
] | 86 | [
"76-47=29",
"27+30=57",
"29+57=86"
] | Current State: 86:[76, 47, 27, 30], Operations: []
Exploring Operation: 76-47=29, Resulting Numbers: [27, 30, 29]
Generated Node #2: [27, 30, 29] from Operation: 76-47=29
Current State: 86:[27, 30, 29], Operations: ['76-47=29']
Exploring Operation: 27+30=57, Resulting Numbers: [29, 57]
Generated Node #3: [29, 57] from Operation: 27+30=57
Current State: 86:[29, 57], Operations: ['76-47=29', '27+30=57']
Exploring Operation: 29+57=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
2,
6,
44,
80
] | 64 | [
"6-2=4",
"80/4=20",
"44+20=64"
] | Current State: 64:[2, 6, 44, 80], Operations: []
Exploring Operation: 6-2=4, Resulting Numbers: [44, 80, 4]
Generated Node #2: [44, 80, 4] from Operation: 6-2=4
Current State: 64:[44, 80, 4], Operations: ['6-2=4']
Exploring Operation: 80/4=20, Resulting Numbers: [44, 20]
Generated Node #3: [44, 20] from Operation: 80/4=20
Current State: 64:[44, 20], Operations: ['6-2=4', '80/4=20']
Exploring Operation: 44+20=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
28,
40,
54,
29
] | 95 | [
"40-28=12",
"54+29=83",
"12+83=95"
] | Current State: 95:[28, 40, 54, 29], Operations: []
Exploring Operation: 40-28=12, Resulting Numbers: [54, 29, 12]
Generated Node #2: [54, 29, 12] from Operation: 40-28=12
Current State: 95:[54, 29, 12], Operations: ['40-28=12']
Exploring Operation: 54+29=83, Resulting Numbers: [12, 83]
Generated Node #3: [12, 83] from Operation: 54+29=83
Current State: 95:[12, 83], Operations: ['40-28=12', '54+29=83']
Exploring Operation: 12+83=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
62,
89,
89,
98
] | 37 | [
"98-62=36",
"89/89=1",
"36+1=37"
] | Current State: 37:[62, 89, 89, 98], Operations: []
Exploring Operation: 98-62=36, Resulting Numbers: [89, 89, 36]
Generated Node #2: [89, 89, 36] from Operation: 98-62=36
Current State: 37:[89, 89, 36], Operations: ['98-62=36']
Exploring Operation: 89/89=1, Resulting Numbers: [36, 1]
Generated Node #3: [36, 1] from Operation: 89/89=1
Current State: 37:[36, 1], Operations: ['98-62=36', '89/89=1']
Exploring Operation: 36+1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
11,
2,
83,
45
] | 18 | [
"83-11=72",
"2*45=90",
"90-72=18"
] | Current State: 18:[11, 2, 83, 45], Operations: []
Exploring Operation: 83-11=72, Resulting Numbers: [2, 45, 72]
Generated Node #2: [2, 45, 72] from Operation: 83-11=72
Current State: 18:[2, 45, 72], Operations: ['83-11=72']
Exploring Operation: 2*45=90, Resulting Numbers: [72, 90]
Generated Node #3: [72, 90] from Operation: 2*45=90
Current State: 18:[72, 90], Operations: ['83-11=72', '2*45=90']
Exploring Operation: 90-72=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
11,
2,
4,
34
] | 48 | [
"11*2=22",
"34-22=12",
"4*12=48"
] | Current State: 48:[11, 2, 4, 34], Operations: []
Exploring Operation: 11*2=22, Resulting Numbers: [4, 34, 22]
Generated Node #2: [4, 34, 22] from Operation: 11*2=22
Current State: 48:[4, 34, 22], Operations: ['11*2=22']
Exploring Operation: 34-22=12, Resulting Numbers: [4, 12]
Generated Node #3: [4, 12] from Operation: 34-22=12
Current State: 48:[4, 12], Operations: ['11*2=22', '34-22=12']
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
60,
30,
13,
62
] | 45 | [
"60-30=30",
"13+62=75",
"75-30=45"
] | Current State: 45:[60, 30, 13, 62], Operations: []
Exploring Operation: 60-30=30, Resulting Numbers: [13, 62, 30]
Generated Node #2: [13, 62, 30] from Operation: 60-30=30
Current State: 45:[13, 62, 30], Operations: ['60-30=30']
Exploring Operation: 13+62=75, Resulting Numbers: [30, 75]
Generated Node #3: [30, 75] from Operation: 13+62=75
Current State: 45:[30, 75], Operations: ['60-30=30', '13+62=75']
Exploring Operation: 75-30=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
91,
61,
11,
18
] | 87 | [
"61+11=72",
"72/18=4",
"91-4=87"
] | Current State: 87:[91, 61, 11, 18], Operations: []
Exploring Operation: 61+11=72, Resulting Numbers: [91, 18, 72]
Generated Node #2: [91, 18, 72] from Operation: 61+11=72
Current State: 87:[91, 18, 72], Operations: ['61+11=72']
Exploring Operation: 72/18=4, Resulting Numbers: [91, 4]
Generated Node #3: [91, 4] from Operation: 72/18=4
Current State: 87:[91, 4], Operations: ['61+11=72', '72/18=4']
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
73,
48,
28,
60
] | 89 | [
"73+48=121",
"60-28=32",
"121-32=89"
] | Current State: 89:[73, 48, 28, 60], Operations: []
Exploring Operation: 73+48=121, Resulting Numbers: [28, 60, 121]
Generated Node #2: [28, 60, 121] from Operation: 73+48=121
Current State: 89:[28, 60, 121], Operations: ['73+48=121']
Exploring Operation: 60-28=32, Resulting Numbers: [121, 32]
Generated Node #3: [121, 32] from Operation: 60-28=32
Current State: 89:[121, 32], Operations: ['73+48=121', '60-28=32']
Exploring Operation: 121-32=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
66,
13,
22,
77
] | 33 | [
"66+77=143",
"143/13=11",
"22+11=33"
] | Current State: 33:[66, 13, 22, 77], Operations: []
Exploring Operation: 66+77=143, Resulting Numbers: [13, 22, 143]
Generated Node #2: [13, 22, 143] from Operation: 66+77=143
Current State: 33:[13, 22, 143], Operations: ['66+77=143']
Exploring Operation: 143/13=11, Resulting Numbers: [22, 11]
Generated Node #3: [22, 11] from Operation: 143/13=11
Current State: 33:[22, 11], Operations: ['66+77=143', '143/13=11']
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
7,
8,
47,
78
] | 30 | [
"8-7=1",
"78-47=31",
"31-1=30"
] | Current State: 30:[7, 8, 47, 78], Operations: []
Exploring Operation: 8-7=1, Resulting Numbers: [47, 78, 1]
Generated Node #2: [47, 78, 1] from Operation: 8-7=1
Current State: 30:[47, 78, 1], Operations: ['8-7=1']
Exploring Operation: 78-47=31, Resulting Numbers: [1, 31]
Generated Node #3: [1, 31] from Operation: 78-47=31
Current State: 30:[1, 31], Operations: ['8-7=1', '78-47=31']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
2,
42,
56,
58
] | 74 | [
"42-2=40",
"56+58=114",
"114-40=74"
] | Current State: 74:[2, 42, 56, 58], Operations: []
Exploring Operation: 42-2=40, Resulting Numbers: [56, 58, 40]
Generated Node #2: [56, 58, 40] from Operation: 42-2=40
Current State: 74:[56, 58, 40], Operations: ['42-2=40']
Exploring Operation: 56+58=114, Resulting Numbers: [40, 114]
Generated Node #3: [40, 114] from Operation: 56+58=114
Current State: 74:[40, 114], Operations: ['42-2=40', '56+58=114']
Exploring Operation: 114-40=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
26,
52,
2,
49
] | 36 | [
"52-26=26",
"26/2=13",
"49-13=36"
] | Current State: 36:[26, 52, 2, 49], Operations: []
Exploring Operation: 52-26=26, Resulting Numbers: [2, 49, 26]
Generated Node #2: [2, 49, 26] from Operation: 52-26=26
Current State: 36:[2, 49, 26], Operations: ['52-26=26']
Exploring Operation: 26/2=13, Resulting Numbers: [49, 13]
Generated Node #3: [49, 13] from Operation: 26/2=13
Current State: 36:[49, 13], Operations: ['52-26=26', '26/2=13']
Exploring Operation: 49-13=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
16,
1,
11,
64
] | 93 | [
"16*64=1024",
"1024-1=1023",
"1023/11=93"
] | Current State: 93:[16, 1, 11, 64], Operations: []
Exploring Operation: 16*64=1024, Resulting Numbers: [1, 11, 1024]
Generated Node #2: [1, 11, 1024] from Operation: 16*64=1024
Current State: 93:[1, 11, 1024], Operations: ['16*64=1024']
Exploring Operation: 1024-1=1023, Resulting Numbers: [11, 1023]
Generated Node #3: [11, 1023] from Operation: 1024-1=1023
Current State: 93:[11, 1023], Operations: ['16*64=1024', '1024-1=1023']
Exploring Operation: 1023/11=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
46,
7,
95,
40
] | 53 | [
"46-40=6",
"7*6=42",
"95-42=53"
] | Current State: 53:[46, 7, 95, 40], Operations: []
Exploring Operation: 46-40=6, Resulting Numbers: [7, 95, 6]
Generated Node #2: [7, 95, 6] from Operation: 46-40=6
Current State: 53:[7, 95, 6], Operations: ['46-40=6']
Exploring Operation: 7*6=42, Resulting Numbers: [95, 42]
Generated Node #3: [95, 42] from Operation: 7*6=42
Current State: 53:[95, 42], Operations: ['46-40=6', '7*6=42']
Exploring Operation: 95-42=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
99,
76,
18,
23
] | 64 | [
"99-76=23",
"18+23=41",
"23+41=64"
] | Current State: 64:[99, 76, 18, 23], Operations: []
Exploring Operation: 99-76=23, Resulting Numbers: [18, 23, 23]
Generated Node #2: [18, 23, 23] from Operation: 99-76=23
Current State: 64:[18, 23, 23], Operations: ['99-76=23']
Exploring Operation: 18+23=41, Resulting Numbers: [41]
41,64 equal: Goal Reached
Exploring Operation: 23+41=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
24,
22,
97,
45
] | 26 | [
"24-22=2",
"97-45=52",
"52/2=26"
] | Current State: 26:[24, 22, 97, 45], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [97, 45, 2]
Generated Node #2: [97, 45, 2] from Operation: 24-22=2
Current State: 26:[97, 45, 2], Operations: ['24-22=2']
Exploring Operation: 97-45=52, Resulting Numbers: [2, 52]
Generated Node #3: [2, 52] from Operation: 97-45=52
Current State: 26:[2, 52], Operations: ['24-22=2', '97-45=52']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
72,
20,
80,
6
] | 70 | [
"72-6=66",
"80/20=4",
"66+4=70"
] | Current State: 70:[72, 20, 80, 6], Operations: []
Exploring Operation: 72-6=66, Resulting Numbers: [20, 80, 66]
Generated Node #2: [20, 80, 66] from Operation: 72-6=66
Current State: 70:[20, 80, 66], Operations: ['72-6=66']
Exploring Operation: 80/20=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 80/20=4
Current State: 70:[66, 4], Operations: ['72-6=66', '80/20=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
93,
83,
21,
87
] | 56 | [
"93-83=10",
"87-21=66",
"66-10=56"
] | Current State: 56:[93, 83, 21, 87], Operations: []
Exploring Operation: 93-83=10, Resulting Numbers: [21, 87, 10]
Generated Node #2: [21, 87, 10] from Operation: 93-83=10
Current State: 56:[21, 87, 10], Operations: ['93-83=10']
Exploring Operation: 87-21=66, Resulting Numbers: [10, 66]
Generated Node #3: [10, 66] from Operation: 87-21=66
Current State: 56:[10, 66], Operations: ['93-83=10', '87-21=66']
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
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