nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
67,
24,
17,
10
] | 13 | [
"67+24=91",
"17-10=7",
"91/7=13"
] | Current State: 13:[67, 24, 17, 10], Operations: []
Exploring Operation: 67+24=91, Resulting Numbers: [17, 10, 91]
Generated Node #2: [17, 10, 91] from Operation: 67+24=91
Current State: 13:[17, 10, 91], Operations: ['67+24=91']
Exploring Operation: 17-10=7, Resulting Numbers: [91, 7]
Generated Node #3: [91, 7] from Operation: 17-10=7
Current State: 13:[91, 7], Operations: ['67+24=91', '17-10=7']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
22,
26,
9,
10
] | 50 | [
"26-22=4",
"9-4=5",
"10*5=50"
] | Current State: 50:[22, 26, 9, 10], Operations: []
Exploring Operation: 26-22=4, Resulting Numbers: [9, 10, 4]
Generated Node #2: [9, 10, 4] from Operation: 26-22=4
Current State: 50:[9, 10, 4], Operations: ['26-22=4']
Exploring Operation: 9-4=5, Resulting Numbers: [10, 5]
Generated Node #3: [10, 5] from Operation: 9-4=5
Current State: 50:[10, 5], Operations: ['26-22=4', '9-4=5']
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
58,
24,
47,
56
] | 69 | [
"58-24=34",
"47+56=103",
"103-34=69"
] | Current State: 69:[58, 24, 47, 56], Operations: []
Exploring Operation: 58-24=34, Resulting Numbers: [47, 56, 34]
Generated Node #2: [47, 56, 34] from Operation: 58-24=34
Current State: 69:[47, 56, 34], Operations: ['58-24=34']
Exploring Operation: 47+56=103, Resulting Numbers: [34, 103]
Generated Node #3: [34, 103] from Operation: 47+56=103
Current State: 69:[34, 103], Operations: ['58-24=34', '47+56=103']
Exploring Operation: 103-34=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
52,
63,
51,
80
] | 40 | [
"63-52=11",
"80-51=29",
"11+29=40"
] | Current State: 40:[52, 63, 51, 80], Operations: []
Exploring Operation: 63-52=11, Resulting Numbers: [51, 80, 11]
Generated Node #2: [51, 80, 11] from Operation: 63-52=11
Current State: 40:[51, 80, 11], Operations: ['63-52=11']
Exploring Operation: 80-51=29, Resulting Numbers: [11, 29]
Generated Node #3: [11, 29] from Operation: 80-51=29
Current State: 40:[11, 29], Operations: ['63-52=11', '80-51=29']
Exploring Operation: 11+29=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
29,
27,
28,
14
] | 24 | [
"29+27=56",
"56/14=4",
"28-4=24"
] | Current State: 24:[29, 27, 28, 14], Operations: []
Exploring Operation: 29+27=56, Resulting Numbers: [28, 14, 56]
Generated Node #2: [28, 14, 56] from Operation: 29+27=56
Current State: 24:[28, 14, 56], Operations: ['29+27=56']
Exploring Operation: 56/14=4, Resulting Numbers: [28, 4]
Generated Node #3: [28, 4] from Operation: 56/14=4
Current State: 24:[28, 4], Operations: ['29+27=56', '56/14=4']
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
2,
10,
66,
53
] | 33 | [
"2*10=20",
"66-53=13",
"20+13=33"
] | Current State: 33:[2, 10, 66, 53], Operations: []
Exploring Operation: 2*10=20, Resulting Numbers: [66, 53, 20]
Generated Node #2: [66, 53, 20] from Operation: 2*10=20
Current State: 33:[66, 53, 20], Operations: ['2*10=20']
Exploring Operation: 66-53=13, Resulting Numbers: [20, 13]
Generated Node #3: [20, 13] from Operation: 66-53=13
Current State: 33:[20, 13], Operations: ['2*10=20', '66-53=13']
Exploring Operation: 20+13=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
53,
95,
8,
93
] | 59 | [
"95-53=42",
"8+93=101",
"101-42=59"
] | Current State: 59:[53, 95, 8, 93], Operations: []
Exploring Operation: 95-53=42, Resulting Numbers: [8, 93, 42]
Generated Node #2: [8, 93, 42] from Operation: 95-53=42
Current State: 59:[8, 93, 42], Operations: ['95-53=42']
Exploring Operation: 8+93=101, Resulting Numbers: [42, 101]
Generated Node #3: [42, 101] from Operation: 8+93=101
Current State: 59:[42, 101], Operations: ['95-53=42', '8+93=101']
Exploring Operation: 101-42=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
89,
49,
49,
58
] | 89 | [
"49-49=0",
"58*0=0",
"89+0=89"
] | Current State: 89:[89, 49, 49, 58], Operations: []
Exploring Operation: 49-49=0, Resulting Numbers: [89, 58, 0]
Generated Node #2: [89, 58, 0] from Operation: 49-49=0
Current State: 89:[89, 58, 0], Operations: ['49-49=0']
Exploring Operation: 58*0=0, Resulting Numbers: [89, 0]
Generated Node #3: [89, 0] from Operation: 58*0=0
Current State: 89:[89, 0], Operations: ['49-49=0', '58*0=0']
Exploring Operation: 89+0=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
75,
22,
52,
15
] | 25 | [
"75/15=5",
"52-22=30",
"30-5=25"
] | Current State: 25:[75, 22, 52, 15], Operations: []
Exploring Operation: 75/15=5, Resulting Numbers: [22, 52, 5]
Generated Node #2: [22, 52, 5] from Operation: 75/15=5
Current State: 25:[22, 52, 5], Operations: ['75/15=5']
Exploring Operation: 52-22=30, Resulting Numbers: [5, 30]
Generated Node #3: [5, 30] from Operation: 52-22=30
Current State: 25:[5, 30], Operations: ['75/15=5', '52-22=30']
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
87,
55,
20,
9
] | 38 | [
"87+55=142",
"20*9=180",
"180-142=38"
] | Current State: 38:[87, 55, 20, 9], Operations: []
Exploring Operation: 87+55=142, Resulting Numbers: [20, 9, 142]
Generated Node #2: [20, 9, 142] from Operation: 87+55=142
Current State: 38:[20, 9, 142], Operations: ['87+55=142']
Exploring Operation: 20*9=180, Resulting Numbers: [142, 180]
Generated Node #3: [142, 180] from Operation: 20*9=180
Current State: 38:[142, 180], Operations: ['87+55=142', '20*9=180']
Exploring Operation: 180-142=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
14,
58,
20,
62
] | 55 | [
"62-20=42",
"42/14=3",
"58-3=55"
] | Current State: 55:[14, 58, 20, 62], Operations: []
Exploring Operation: 62-20=42, Resulting Numbers: [14, 58, 42]
Generated Node #2: [14, 58, 42] from Operation: 62-20=42
Current State: 55:[14, 58, 42], Operations: ['62-20=42']
Exploring Operation: 42/14=3, Resulting Numbers: [58, 3]
Generated Node #3: [58, 3] from Operation: 42/14=3
Current State: 55:[58, 3], Operations: ['62-20=42', '42/14=3']
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
35,
27,
45,
33
] | 86 | [
"35-27=8",
"45+33=78",
"8+78=86"
] | Current State: 86:[35, 27, 45, 33], Operations: []
Exploring Operation: 35-27=8, Resulting Numbers: [45, 33, 8]
Generated Node #2: [45, 33, 8] from Operation: 35-27=8
Current State: 86:[45, 33, 8], Operations: ['35-27=8']
Exploring Operation: 45+33=78, Resulting Numbers: [8, 78]
Generated Node #3: [8, 78] from Operation: 45+33=78
Current State: 86:[8, 78], Operations: ['35-27=8', '45+33=78']
Exploring Operation: 8+78=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
30,
91,
2,
62
] | 31 | [
"30*2=60",
"91-62=29",
"60-29=31"
] | Current State: 31:[30, 91, 2, 62], Operations: []
Exploring Operation: 30*2=60, Resulting Numbers: [91, 62, 60]
Generated Node #2: [91, 62, 60] from Operation: 30*2=60
Current State: 31:[91, 62, 60], Operations: ['30*2=60']
Exploring Operation: 91-62=29, Resulting Numbers: [60, 29]
Generated Node #3: [60, 29] from Operation: 91-62=29
Current State: 31:[60, 29], Operations: ['30*2=60', '91-62=29']
Exploring Operation: 60-29=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
90,
3,
45,
7
] | 75 | [
"45*7=315",
"315-90=225",
"225/3=75"
] | Current State: 75:[90, 3, 45, 7], Operations: []
Exploring Operation: 45*7=315, Resulting Numbers: [90, 3, 315]
Generated Node #2: [90, 3, 315] from Operation: 45*7=315
Current State: 75:[90, 3, 315], Operations: ['45*7=315']
Exploring Operation: 315-90=225, Resulting Numbers: [3, 225]
Generated Node #3: [3, 225] from Operation: 315-90=225
Current State: 75:[3, 225], Operations: ['45*7=315', '315-90=225']
Exploring Operation: 225/3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
13,
41,
70,
31
] | 73 | [
"41-13=28",
"70+31=101",
"101-28=73"
] | Current State: 73:[13, 41, 70, 31], Operations: []
Exploring Operation: 41-13=28, Resulting Numbers: [70, 31, 28]
Generated Node #2: [70, 31, 28] from Operation: 41-13=28
Current State: 73:[70, 31, 28], Operations: ['41-13=28']
Exploring Operation: 70+31=101, Resulting Numbers: [28, 101]
Generated Node #3: [28, 101] from Operation: 70+31=101
Current State: 73:[28, 101], Operations: ['41-13=28', '70+31=101']
Exploring Operation: 101-28=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
60,
74,
85,
23
] | 36 | [
"74-23=51",
"60*51=3060",
"3060/85=36"
] | Current State: 36:[60, 74, 85, 23], Operations: []
Exploring Operation: 74-23=51, Resulting Numbers: [60, 85, 51]
Generated Node #2: [60, 85, 51] from Operation: 74-23=51
Current State: 36:[60, 85, 51], Operations: ['74-23=51']
Exploring Operation: 60*51=3060, Resulting Numbers: [85, 3060]
Generated Node #3: [85, 3060] from Operation: 60*51=3060
Current State: 36:[85, 3060], Operations: ['74-23=51', '60*51=3060']
Exploring Operation: 3060/85=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
78,
65,
43,
38
] | 68 | [
"78-65=13",
"43+38=81",
"81-13=68"
] | Current State: 68:[78, 65, 43, 38], Operations: []
Exploring Operation: 78-65=13, Resulting Numbers: [43, 38, 13]
Generated Node #2: [43, 38, 13] from Operation: 78-65=13
Current State: 68:[43, 38, 13], Operations: ['78-65=13']
Exploring Operation: 43+38=81, Resulting Numbers: [13, 81]
Generated Node #3: [13, 81] from Operation: 43+38=81
Current State: 68:[13, 81], Operations: ['78-65=13', '43+38=81']
Exploring Operation: 81-13=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
58,
69,
27,
80
] | 96 | [
"69-58=11",
"27+80=107",
"107-11=96"
] | Current State: 96:[58, 69, 27, 80], Operations: []
Exploring Operation: 69-58=11, Resulting Numbers: [27, 80, 11]
Generated Node #2: [27, 80, 11] from Operation: 69-58=11
Current State: 96:[27, 80, 11], Operations: ['69-58=11']
Exploring Operation: 27+80=107, Resulting Numbers: [11, 107]
Generated Node #3: [11, 107] from Operation: 27+80=107
Current State: 96:[11, 107], Operations: ['69-58=11', '27+80=107']
Exploring Operation: 107-11=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
30,
91,
14,
3
] | 43 | [
"30-14=16",
"3*16=48",
"91-48=43"
] | Current State: 43:[30, 91, 14, 3], Operations: []
Exploring Operation: 30-14=16, Resulting Numbers: [91, 3, 16]
Generated Node #2: [91, 3, 16] from Operation: 30-14=16
Current State: 43:[91, 3, 16], Operations: ['30-14=16']
Exploring Operation: 3*16=48, Resulting Numbers: [91, 48]
Generated Node #3: [91, 48] from Operation: 3*16=48
Current State: 43:[91, 48], Operations: ['30-14=16', '3*16=48']
Exploring Operation: 91-48=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
72,
3,
76,
89
] | 25 | [
"89-72=17",
"3*17=51",
"76-51=25"
] | Current State: 25:[72, 3, 76, 89], Operations: []
Exploring Operation: 89-72=17, Resulting Numbers: [3, 76, 17]
Generated Node #2: [3, 76, 17] from Operation: 89-72=17
Current State: 25:[3, 76, 17], Operations: ['89-72=17']
Exploring Operation: 3*17=51, Resulting Numbers: [76, 51]
Generated Node #3: [76, 51] from Operation: 3*17=51
Current State: 25:[76, 51], Operations: ['89-72=17', '3*17=51']
Exploring Operation: 76-51=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
36,
22,
2,
55
] | 60 | [
"55-36=19",
"2*19=38",
"22+38=60"
] | Current State: 60:[36, 22, 2, 55], Operations: []
Exploring Operation: 55-36=19, Resulting Numbers: [22, 2, 19]
Generated Node #2: [22, 2, 19] from Operation: 55-36=19
Current State: 60:[22, 2, 19], Operations: ['55-36=19']
Exploring Operation: 2*19=38, Resulting Numbers: [22, 38]
Generated Node #3: [22, 38] from Operation: 2*19=38
Current State: 60:[22, 38], Operations: ['55-36=19', '2*19=38']
Exploring Operation: 22+38=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
43,
82,
10,
28
] | 57 | [
"82-43=39",
"28-10=18",
"39+18=57"
] | Current State: 57:[43, 82, 10, 28], Operations: []
Exploring Operation: 82-43=39, Resulting Numbers: [10, 28, 39]
Generated Node #2: [10, 28, 39] from Operation: 82-43=39
Current State: 57:[10, 28, 39], Operations: ['82-43=39']
Exploring Operation: 28-10=18, Resulting Numbers: [39, 18]
Generated Node #3: [39, 18] from Operation: 28-10=18
Current State: 57:[39, 18], Operations: ['82-43=39', '28-10=18']
Exploring Operation: 39+18=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
49,
47,
62,
87
] | 56 | [
"49-47=2",
"62/2=31",
"87-31=56"
] | Current State: 56:[49, 47, 62, 87], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [62, 87, 2]
Generated Node #2: [62, 87, 2] from Operation: 49-47=2
Current State: 56:[62, 87, 2], Operations: ['49-47=2']
Exploring Operation: 62/2=31, Resulting Numbers: [87, 31]
Generated Node #3: [87, 31] from Operation: 62/2=31
Current State: 56:[87, 31], Operations: ['49-47=2', '62/2=31']
Exploring Operation: 87-31=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
90,
23,
93,
10
] | 39 | [
"93-90=3",
"23-10=13",
"3*13=39"
] | Current State: 39:[90, 23, 93, 10], Operations: []
Exploring Operation: 93-90=3, Resulting Numbers: [23, 10, 3]
Generated Node #2: [23, 10, 3] from Operation: 93-90=3
Current State: 39:[23, 10, 3], Operations: ['93-90=3']
Exploring Operation: 23-10=13, Resulting Numbers: [3, 13]
Generated Node #3: [3, 13] from Operation: 23-10=13
Current State: 39:[3, 13], Operations: ['93-90=3', '23-10=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
44,
91,
6,
18
] | 61 | [
"91-44=47",
"6*18=108",
"108-47=61"
] | Current State: 61:[44, 91, 6, 18], Operations: []
Exploring Operation: 91-44=47, Resulting Numbers: [6, 18, 47]
Generated Node #2: [6, 18, 47] from Operation: 91-44=47
Current State: 61:[6, 18, 47], Operations: ['91-44=47']
Exploring Operation: 6*18=108, Resulting Numbers: [47, 108]
Generated Node #3: [47, 108] from Operation: 6*18=108
Current State: 61:[47, 108], Operations: ['91-44=47', '6*18=108']
Exploring Operation: 108-47=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
63,
66,
22,
92
] | 71 | [
"63*22=1386",
"1386/66=21",
"92-21=71"
] | Current State: 71:[63, 66, 22, 92], Operations: []
Exploring Operation: 63*22=1386, Resulting Numbers: [66, 92, 1386]
Generated Node #2: [66, 92, 1386] from Operation: 63*22=1386
Current State: 71:[66, 92, 1386], Operations: ['63*22=1386']
Exploring Operation: 1386/66=21, Resulting Numbers: [92, 21]
Generated Node #3: [92, 21] from Operation: 1386/66=21
Current State: 71:[92, 21], Operations: ['63*22=1386', '1386/66=21']
Exploring Operation: 92-21=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
56,
64,
13,
43
] | 64 | [
"56+64=120",
"13+43=56",
"120-56=64"
] | Current State: 64:[56, 64, 13, 43], Operations: []
Exploring Operation: 56+64=120, Resulting Numbers: [13, 43, 120]
Generated Node #2: [13, 43, 120] from Operation: 56+64=120
Current State: 64:[13, 43, 120], Operations: ['56+64=120']
Exploring Operation: 13+43=56, Resulting Numbers: [120, 56]
Generated Node #3: [120, 56] from Operation: 13+43=56
Current State: 64:[120, 56], Operations: ['56+64=120', '13+43=56']
Exploring Operation: 120-56=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
79,
15,
84,
64
] | 11 | [
"84-79=5",
"15*5=75",
"75-64=11"
] | Current State: 11:[79, 15, 84, 64], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [15, 64, 5]
Generated Node #2: [15, 64, 5] from Operation: 84-79=5
Current State: 11:[15, 64, 5], Operations: ['84-79=5']
Exploring Operation: 15*5=75, Resulting Numbers: [64, 75]
Generated Node #3: [64, 75] from Operation: 15*5=75
Current State: 11:[64, 75], Operations: ['84-79=5', '15*5=75']
Exploring Operation: 75-64=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
8,
53,
83,
55
] | 89 | [
"8+53=61",
"83-55=28",
"61+28=89"
] | Current State: 89:[8, 53, 83, 55], Operations: []
Exploring Operation: 8+53=61, Resulting Numbers: [83, 55, 61]
Generated Node #2: [83, 55, 61] from Operation: 8+53=61
Current State: 89:[83, 55, 61], Operations: ['8+53=61']
Exploring Operation: 83-55=28, Resulting Numbers: [61, 28]
Generated Node #3: [61, 28] from Operation: 83-55=28
Current State: 89:[61, 28], Operations: ['8+53=61', '83-55=28']
Exploring Operation: 61+28=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
26,
60,
29,
5
] | 99 | [
"26*5=130",
"60-29=31",
"130-31=99"
] | Current State: 99:[26, 60, 29, 5], Operations: []
Exploring Operation: 26*5=130, Resulting Numbers: [60, 29, 130]
Generated Node #2: [60, 29, 130] from Operation: 26*5=130
Current State: 99:[60, 29, 130], Operations: ['26*5=130']
Exploring Operation: 60-29=31, Resulting Numbers: [130, 31]
Generated Node #3: [130, 31] from Operation: 60-29=31
Current State: 99:[130, 31], Operations: ['26*5=130', '60-29=31']
Exploring Operation: 130-31=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
87,
91,
11,
23
] | 81 | [
"91-87=4",
"23*4=92",
"92-11=81"
] | Current State: 81:[87, 91, 11, 23], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [11, 23, 4]
Generated Node #2: [11, 23, 4] from Operation: 91-87=4
Current State: 81:[11, 23, 4], Operations: ['91-87=4']
Exploring Operation: 23*4=92, Resulting Numbers: [11, 92]
Generated Node #3: [11, 92] from Operation: 23*4=92
Current State: 81:[11, 92], Operations: ['91-87=4', '23*4=92']
Exploring Operation: 92-11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
88,
95,
31,
99
] | 72 | [
"95-31=64",
"99*64=6336",
"6336/88=72"
] | Current State: 72:[88, 95, 31, 99], Operations: []
Exploring Operation: 95-31=64, Resulting Numbers: [88, 99, 64]
Generated Node #2: [88, 99, 64] from Operation: 95-31=64
Current State: 72:[88, 99, 64], Operations: ['95-31=64']
Exploring Operation: 99*64=6336, Resulting Numbers: [88, 6336]
Generated Node #3: [88, 6336] from Operation: 99*64=6336
Current State: 72:[88, 6336], Operations: ['95-31=64', '99*64=6336']
Exploring Operation: 6336/88=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
39,
58,
63,
21
] | 16 | [
"58-39=19",
"63/21=3",
"19-3=16"
] | Current State: 16:[39, 58, 63, 21], Operations: []
Exploring Operation: 58-39=19, Resulting Numbers: [63, 21, 19]
Generated Node #2: [63, 21, 19] from Operation: 58-39=19
Current State: 16:[63, 21, 19], Operations: ['58-39=19']
Exploring Operation: 63/21=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 63/21=3
Current State: 16:[19, 3], Operations: ['58-39=19', '63/21=3']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
31,
37,
31,
32
] | 37 | [
"31-31=0",
"32*0=0",
"37+0=37"
] | Current State: 37:[31, 37, 31, 32], Operations: []
Exploring Operation: 31-31=0, Resulting Numbers: [37, 32, 0]
Generated Node #2: [37, 32, 0] from Operation: 31-31=0
Current State: 37:[37, 32, 0], Operations: ['31-31=0']
Exploring Operation: 32*0=0, Resulting Numbers: [37, 0]
Generated Node #3: [37, 0] from Operation: 32*0=0
Current State: 37:[37, 0], Operations: ['31-31=0', '32*0=0']
Exploring Operation: 37+0=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
72,
71,
19,
69
] | 89 | [
"72-71=1",
"19+69=88",
"1+88=89"
] | Current State: 89:[72, 71, 19, 69], Operations: []
Exploring Operation: 72-71=1, Resulting Numbers: [19, 69, 1]
Generated Node #2: [19, 69, 1] from Operation: 72-71=1
Current State: 89:[19, 69, 1], Operations: ['72-71=1']
Exploring Operation: 19+69=88, Resulting Numbers: [1, 88]
Generated Node #3: [1, 88] from Operation: 19+69=88
Current State: 89:[1, 88], Operations: ['72-71=1', '19+69=88']
Exploring Operation: 1+88=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
73,
14,
90,
93
] | 56 | [
"73-14=59",
"93-90=3",
"59-3=56"
] | Current State: 56:[73, 14, 90, 93], Operations: []
Exploring Operation: 73-14=59, Resulting Numbers: [90, 93, 59]
Generated Node #2: [90, 93, 59] from Operation: 73-14=59
Current State: 56:[90, 93, 59], Operations: ['73-14=59']
Exploring Operation: 93-90=3, Resulting Numbers: [59, 3]
Generated Node #3: [59, 3] from Operation: 93-90=3
Current State: 56:[59, 3], Operations: ['73-14=59', '93-90=3']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
33,
72,
51,
38
] | 53 | [
"72*38=2736",
"2736-33=2703",
"2703/51=53"
] | Current State: 53:[33, 72, 51, 38], Operations: []
Exploring Operation: 72*38=2736, Resulting Numbers: [33, 51, 2736]
Generated Node #2: [33, 51, 2736] from Operation: 72*38=2736
Current State: 53:[33, 51, 2736], Operations: ['72*38=2736']
Exploring Operation: 2736-33=2703, Resulting Numbers: [51, 2703]
Generated Node #3: [51, 2703] from Operation: 2736-33=2703
Current State: 53:[51, 2703], Operations: ['72*38=2736', '2736-33=2703']
Exploring Operation: 2703/51=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
40,
4,
67,
38
] | 75 | [
"40-38=2",
"4*2=8",
"67+8=75"
] | Current State: 75:[40, 4, 67, 38], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [4, 67, 2]
Generated Node #2: [4, 67, 2] from Operation: 40-38=2
Current State: 75:[4, 67, 2], Operations: ['40-38=2']
Exploring Operation: 4*2=8, Resulting Numbers: [67, 8]
Generated Node #3: [67, 8] from Operation: 4*2=8
Current State: 75:[67, 8], Operations: ['40-38=2', '4*2=8']
Exploring Operation: 67+8=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
98,
51,
33,
80
] | 94 | [
"98-51=47",
"80-33=47",
"47+47=94"
] | Current State: 94:[98, 51, 33, 80], Operations: []
Exploring Operation: 98-51=47, Resulting Numbers: [33, 80, 47]
Generated Node #2: [33, 80, 47] from Operation: 98-51=47
Current State: 94:[33, 80, 47], Operations: ['98-51=47']
Exploring Operation: 80-33=47, Resulting Numbers: [47, 47]
Generated Node #3: [47, 47] from Operation: 80-33=47
Current State: 94:[47, 47], Operations: ['98-51=47', '80-33=47']
Exploring Operation: 47+47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
63,
13,
99,
33
] | 39 | [
"99-63=36",
"36-33=3",
"13*3=39"
] | Current State: 39:[63, 13, 99, 33], Operations: []
Exploring Operation: 99-63=36, Resulting Numbers: [13, 33, 36]
Generated Node #2: [13, 33, 36] from Operation: 99-63=36
Current State: 39:[13, 33, 36], Operations: ['99-63=36']
Exploring Operation: 36-33=3, Resulting Numbers: [13, 3]
Generated Node #3: [13, 3] from Operation: 36-33=3
Current State: 39:[13, 3], Operations: ['99-63=36', '36-33=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
32,
30,
4,
15
] | 18 | [
"32+4=36",
"30/15=2",
"36/2=18"
] | Current State: 18:[32, 30, 4, 15], Operations: []
Exploring Operation: 32+4=36, Resulting Numbers: [30, 15, 36]
Generated Node #2: [30, 15, 36] from Operation: 32+4=36
Current State: 18:[30, 15, 36], Operations: ['32+4=36']
Exploring Operation: 30/15=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 30/15=2
Current State: 18:[36, 2], Operations: ['32+4=36', '30/15=2']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
15,
99,
92,
11
] | 68 | [
"92-15=77",
"99/11=9",
"77-9=68"
] | Current State: 68:[15, 99, 92, 11], Operations: []
Exploring Operation: 92-15=77, Resulting Numbers: [99, 11, 77]
Generated Node #2: [99, 11, 77] from Operation: 92-15=77
Current State: 68:[99, 11, 77], Operations: ['92-15=77']
Exploring Operation: 99/11=9, Resulting Numbers: [77, 9]
Generated Node #3: [77, 9] from Operation: 99/11=9
Current State: 68:[77, 9], Operations: ['92-15=77', '99/11=9']
Exploring Operation: 77-9=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
11,
20,
16,
27
] | 61 | [
"27-20=7",
"11*7=77",
"77-16=61"
] | Current State: 61:[11, 20, 16, 27], Operations: []
Exploring Operation: 27-20=7, Resulting Numbers: [11, 16, 7]
Generated Node #2: [11, 16, 7] from Operation: 27-20=7
Current State: 61:[11, 16, 7], Operations: ['27-20=7']
Exploring Operation: 11*7=77, Resulting Numbers: [16, 77]
Generated Node #3: [16, 77] from Operation: 11*7=77
Current State: 61:[16, 77], Operations: ['27-20=7', '11*7=77']
Exploring Operation: 77-16=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
38,
22,
29,
20
] | 51 | [
"38+22=60",
"29-20=9",
"60-9=51"
] | Current State: 51:[38, 22, 29, 20], Operations: []
Exploring Operation: 38+22=60, Resulting Numbers: [29, 20, 60]
Generated Node #2: [29, 20, 60] from Operation: 38+22=60
Current State: 51:[29, 20, 60], Operations: ['38+22=60']
Exploring Operation: 29-20=9, Resulting Numbers: [60, 9]
Generated Node #3: [60, 9] from Operation: 29-20=9
Current State: 51:[60, 9], Operations: ['38+22=60', '29-20=9']
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
37,
21,
27,
8
] | 43 | [
"21+27=48",
"48/8=6",
"37+6=43"
] | Current State: 43:[37, 21, 27, 8], Operations: []
Exploring Operation: 21+27=48, Resulting Numbers: [37, 8, 48]
Generated Node #2: [37, 8, 48] from Operation: 21+27=48
Current State: 43:[37, 8, 48], Operations: ['21+27=48']
Exploring Operation: 48/8=6, Resulting Numbers: [37, 6]
Generated Node #3: [37, 6] from Operation: 48/8=6
Current State: 43:[37, 6], Operations: ['21+27=48', '48/8=6']
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
23,
55,
49,
99
] | 82 | [
"55-23=32",
"99-49=50",
"32+50=82"
] | Current State: 82:[23, 55, 49, 99], Operations: []
Exploring Operation: 55-23=32, Resulting Numbers: [49, 99, 32]
Generated Node #2: [49, 99, 32] from Operation: 55-23=32
Current State: 82:[49, 99, 32], Operations: ['55-23=32']
Exploring Operation: 99-49=50, Resulting Numbers: [32, 50]
Generated Node #3: [32, 50] from Operation: 99-49=50
Current State: 82:[32, 50], Operations: ['55-23=32', '99-49=50']
Exploring Operation: 32+50=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
24,
31,
36,
37
] | 80 | [
"31-24=7",
"36+37=73",
"7+73=80"
] | Current State: 80:[24, 31, 36, 37], Operations: []
Exploring Operation: 31-24=7, Resulting Numbers: [36, 37, 7]
Generated Node #2: [36, 37, 7] from Operation: 31-24=7
Current State: 80:[36, 37, 7], Operations: ['31-24=7']
Exploring Operation: 36+37=73, Resulting Numbers: [7, 73]
Generated Node #3: [7, 73] from Operation: 36+37=73
Current State: 80:[7, 73], Operations: ['31-24=7', '36+37=73']
Exploring Operation: 7+73=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
75,
69,
2,
14
] | 53 | [
"75-14=61",
"2*61=122",
"122-69=53"
] | Current State: 53:[75, 69, 2, 14], Operations: []
Exploring Operation: 75-14=61, Resulting Numbers: [69, 2, 61]
Generated Node #2: [69, 2, 61] from Operation: 75-14=61
Current State: 53:[69, 2, 61], Operations: ['75-14=61']
Exploring Operation: 2*61=122, Resulting Numbers: [69, 122]
Generated Node #3: [69, 122] from Operation: 2*61=122
Current State: 53:[69, 122], Operations: ['75-14=61', '2*61=122']
Exploring Operation: 122-69=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
35,
29,
51,
18
] | 87 | [
"35-18=17",
"29*51=1479",
"1479/17=87"
] | Current State: 87:[35, 29, 51, 18], Operations: []
Exploring Operation: 35-18=17, Resulting Numbers: [29, 51, 17]
Generated Node #2: [29, 51, 17] from Operation: 35-18=17
Current State: 87:[29, 51, 17], Operations: ['35-18=17']
Exploring Operation: 29*51=1479, Resulting Numbers: [17, 1479]
Generated Node #3: [17, 1479] from Operation: 29*51=1479
Current State: 87:[17, 1479], Operations: ['35-18=17', '29*51=1479']
Exploring Operation: 1479/17=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
47,
9,
9,
36
] | 29 | [
"47+9=56",
"36-9=27",
"56-27=29"
] | Current State: 29:[47, 9, 9, 36], Operations: []
Exploring Operation: 47+9=56, Resulting Numbers: [36, 56]
Generated Node #2: [36, 56] from Operation: 47+9=56
Current State: 29:[36, 56], Operations: ['47+9=56']
Exploring Operation: 36-9=27, Resulting Numbers: [56, 27]
Generated Node #3: [56, 27] from Operation: 36-9=27
Current State: 29:[56, 27], Operations: ['47+9=56', '36-9=27']
Exploring Operation: 56-27=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
17,
27,
34,
16
] | 61 | [
"17-16=1",
"27+34=61",
"1*61=61"
] | Current State: 61:[17, 27, 34, 16], Operations: []
Exploring Operation: 17-16=1, Resulting Numbers: [27, 34, 1]
Generated Node #2: [27, 34, 1] from Operation: 17-16=1
Current State: 61:[27, 34, 1], Operations: ['17-16=1']
Exploring Operation: 27+34=61, Resulting Numbers: [1, 61]
Generated Node #3: [1, 61] from Operation: 27+34=61
Current State: 61:[1, 61], Operations: ['17-16=1', '27+34=61']
Exploring Operation: 1*61=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
63,
96,
23,
64
] | 74 | [
"96-63=33",
"64-23=41",
"33+41=74"
] | Current State: 74:[63, 96, 23, 64], Operations: []
Exploring Operation: 96-63=33, Resulting Numbers: [23, 64, 33]
Generated Node #2: [23, 64, 33] from Operation: 96-63=33
Current State: 74:[23, 64, 33], Operations: ['96-63=33']
Exploring Operation: 64-23=41, Resulting Numbers: [33, 41]
Generated Node #3: [33, 41] from Operation: 64-23=41
Current State: 74:[33, 41], Operations: ['96-63=33', '64-23=41']
Exploring Operation: 33+41=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
5,
2,
48,
23
] | 33 | [
"48-5=43",
"23+43=66",
"66/2=33"
] | Current State: 33:[5, 2, 48, 23], Operations: []
Exploring Operation: 48-5=43, Resulting Numbers: [2, 23, 43]
Generated Node #2: [2, 23, 43] from Operation: 48-5=43
Current State: 33:[2, 23, 43], Operations: ['48-5=43']
Exploring Operation: 23+43=66, Resulting Numbers: [2, 66]
Generated Node #3: [2, 66] from Operation: 23+43=66
Current State: 33:[2, 66], Operations: ['48-5=43', '23+43=66']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
11,
40,
9,
79
] | 60 | [
"11*9=99",
"79-40=39",
"99-39=60"
] | Current State: 60:[11, 40, 9, 79], Operations: []
Exploring Operation: 11*9=99, Resulting Numbers: [40, 79, 99]
Generated Node #2: [40, 79, 99] from Operation: 11*9=99
Current State: 60:[40, 79, 99], Operations: ['11*9=99']
Exploring Operation: 79-40=39, Resulting Numbers: [99, 39]
Generated Node #3: [99, 39] from Operation: 79-40=39
Current State: 60:[99, 39], Operations: ['11*9=99', '79-40=39']
Exploring Operation: 99-39=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
82,
29,
36,
22
] | 84 | [
"36+22=58",
"58/29=2",
"82+2=84"
] | Current State: 84:[82, 29, 36, 22], Operations: []
Exploring Operation: 36+22=58, Resulting Numbers: [82, 29, 58]
Generated Node #2: [82, 29, 58] from Operation: 36+22=58
Current State: 84:[82, 29, 58], Operations: ['36+22=58']
Exploring Operation: 58/29=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 58/29=2
Current State: 84:[82, 2], Operations: ['36+22=58', '58/29=2']
Exploring Operation: 82+2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
9,
59,
31,
4
] | 29 | [
"31-9=22",
"4*22=88",
"88-59=29"
] | Current State: 29:[9, 59, 31, 4], Operations: []
Exploring Operation: 31-9=22, Resulting Numbers: [59, 4, 22]
Generated Node #2: [59, 4, 22] from Operation: 31-9=22
Current State: 29:[59, 4, 22], Operations: ['31-9=22']
Exploring Operation: 4*22=88, Resulting Numbers: [59, 88]
Generated Node #3: [59, 88] from Operation: 4*22=88
Current State: 29:[59, 88], Operations: ['31-9=22', '4*22=88']
Exploring Operation: 88-59=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
85,
25,
55,
12
] | 34 | [
"85*12=1020",
"55-25=30",
"1020/30=34"
] | Current State: 34:[85, 25, 55, 12], Operations: []
Exploring Operation: 85*12=1020, Resulting Numbers: [25, 55, 1020]
Generated Node #2: [25, 55, 1020] from Operation: 85*12=1020
Current State: 34:[25, 55, 1020], Operations: ['85*12=1020']
Exploring Operation: 55-25=30, Resulting Numbers: [1020, 30]
Generated Node #3: [1020, 30] from Operation: 55-25=30
Current State: 34:[1020, 30], Operations: ['85*12=1020', '55-25=30']
Exploring Operation: 1020/30=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
84,
21,
21,
50
] | 33 | [
"84/21=4",
"50-21=29",
"4+29=33"
] | Current State: 33:[84, 21, 21, 50], Operations: []
Exploring Operation: 84/21=4, Resulting Numbers: [50, 4]
Generated Node #2: [50, 4] from Operation: 84/21=4
Current State: 33:[50, 4], Operations: ['84/21=4']
Exploring Operation: 50-21=29, Resulting Numbers: [4, 29]
Generated Node #3: [4, 29] from Operation: 50-21=29
Current State: 33:[4, 29], Operations: ['84/21=4', '50-21=29']
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
65,
69,
56,
12
] | 26 | [
"69-65=4",
"56/4=14",
"12+14=26"
] | Current State: 26:[65, 69, 56, 12], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [56, 12, 4]
Generated Node #2: [56, 12, 4] from Operation: 69-65=4
Current State: 26:[56, 12, 4], Operations: ['69-65=4']
Exploring Operation: 56/4=14, Resulting Numbers: [12, 14]
Generated Node #3: [12, 14] from Operation: 56/4=14
Current State: 26:[12, 14], Operations: ['69-65=4', '56/4=14']
Exploring Operation: 12+14=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
19,
49,
88,
7
] | 65 | [
"49-19=30",
"88+7=95",
"95-30=65"
] | Current State: 65:[19, 49, 88, 7], Operations: []
Exploring Operation: 49-19=30, Resulting Numbers: [88, 7, 30]
Generated Node #2: [88, 7, 30] from Operation: 49-19=30
Current State: 65:[88, 7, 30], Operations: ['49-19=30']
Exploring Operation: 88+7=95, Resulting Numbers: [30, 95]
Generated Node #3: [30, 95] from Operation: 88+7=95
Current State: 65:[30, 95], Operations: ['49-19=30', '88+7=95']
Exploring Operation: 95-30=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
9,
46,
89,
25
] | 40 | [
"46+89=135",
"135/9=15",
"25+15=40"
] | Current State: 40:[9, 46, 89, 25], Operations: []
Exploring Operation: 46+89=135, Resulting Numbers: [9, 25, 135]
Generated Node #2: [9, 25, 135] from Operation: 46+89=135
Current State: 40:[9, 25, 135], Operations: ['46+89=135']
Exploring Operation: 135/9=15, Resulting Numbers: [25, 15]
Generated Node #3: [25, 15] from Operation: 135/9=15
Current State: 40:[25, 15], Operations: ['46+89=135', '135/9=15']
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
22,
51,
14,
44
] | 44 | [
"22*14=308",
"51-44=7",
"308/7=44"
] | Current State: 44:[22, 51, 14, 44], Operations: []
Exploring Operation: 22*14=308, Resulting Numbers: [51, 44, 308]
Generated Node #2: [51, 44, 308] from Operation: 22*14=308
Current State: 44:[51, 44, 308], Operations: ['22*14=308']
Exploring Operation: 51-44=7, Resulting Numbers: [308, 7]
Generated Node #3: [308, 7] from Operation: 51-44=7
Current State: 44:[308, 7], Operations: ['22*14=308', '51-44=7']
Exploring Operation: 308/7=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
57,
98,
49,
42
] | 30 | [
"57-42=15",
"98/49=2",
"15*2=30"
] | Current State: 30:[57, 98, 49, 42], Operations: []
Exploring Operation: 57-42=15, Resulting Numbers: [98, 49, 15]
Generated Node #2: [98, 49, 15] from Operation: 57-42=15
Current State: 30:[98, 49, 15], Operations: ['57-42=15']
Exploring Operation: 98/49=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 98/49=2
Current State: 30:[15, 2], Operations: ['57-42=15', '98/49=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
60,
27,
9,
4
] | 28 | [
"60-27=33",
"9-4=5",
"33-5=28"
] | Current State: 28:[60, 27, 9, 4], Operations: []
Exploring Operation: 60-27=33, Resulting Numbers: [9, 4, 33]
Generated Node #2: [9, 4, 33] from Operation: 60-27=33
Current State: 28:[9, 4, 33], Operations: ['60-27=33']
Exploring Operation: 9-4=5, Resulting Numbers: [33, 5]
Generated Node #3: [33, 5] from Operation: 9-4=5
Current State: 28:[33, 5], Operations: ['60-27=33', '9-4=5']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
90,
24,
65,
89
] | 90 | [
"90+24=114",
"89-65=24",
"114-24=90"
] | Current State: 90:[90, 24, 65, 89], Operations: []
Exploring Operation: 90+24=114, Resulting Numbers: [65, 89, 114]
Generated Node #2: [65, 89, 114] from Operation: 90+24=114
Current State: 90:[65, 89, 114], Operations: ['90+24=114']
Exploring Operation: 89-65=24, Resulting Numbers: [114, 24]
Generated Node #3: [114, 24] from Operation: 89-65=24
Current State: 90:[114, 24], Operations: ['90+24=114', '89-65=24']
Exploring Operation: 114-24=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
70,
36,
93,
91
] | 36 | [
"70-36=34",
"93-91=2",
"34+2=36"
] | Current State: 36:[70, 36, 93, 91], Operations: []
Exploring Operation: 70-36=34, Resulting Numbers: [93, 91, 34]
Generated Node #2: [93, 91, 34] from Operation: 70-36=34
Current State: 36:[93, 91, 34], Operations: ['70-36=34']
Exploring Operation: 93-91=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 93-91=2
Current State: 36:[34, 2], Operations: ['70-36=34', '93-91=2']
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
8,
72,
98,
22
] | 40 | [
"8+72=80",
"98+22=120",
"120-80=40"
] | Current State: 40:[8, 72, 98, 22], Operations: []
Exploring Operation: 8+72=80, Resulting Numbers: [98, 22, 80]
Generated Node #2: [98, 22, 80] from Operation: 8+72=80
Current State: 40:[98, 22, 80], Operations: ['8+72=80']
Exploring Operation: 98+22=120, Resulting Numbers: [80, 120]
Generated Node #3: [80, 120] from Operation: 98+22=120
Current State: 40:[80, 120], Operations: ['8+72=80', '98+22=120']
Exploring Operation: 120-80=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
17,
88,
6,
33
] | 85 | [
"17-6=11",
"33/11=3",
"88-3=85"
] | Current State: 85:[17, 88, 6, 33], Operations: []
Exploring Operation: 17-6=11, Resulting Numbers: [88, 33, 11]
Generated Node #2: [88, 33, 11] from Operation: 17-6=11
Current State: 85:[88, 33, 11], Operations: ['17-6=11']
Exploring Operation: 33/11=3, Resulting Numbers: [88, 3]
Generated Node #3: [88, 3] from Operation: 33/11=3
Current State: 85:[88, 3], Operations: ['17-6=11', '33/11=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
4,
19,
99,
8
] | 15 | [
"4*19=76",
"99-8=91",
"91-76=15"
] | Current State: 15:[4, 19, 99, 8], Operations: []
Exploring Operation: 4*19=76, Resulting Numbers: [99, 8, 76]
Generated Node #2: [99, 8, 76] from Operation: 4*19=76
Current State: 15:[99, 8, 76], Operations: ['4*19=76']
Exploring Operation: 99-8=91, Resulting Numbers: [76, 91]
Generated Node #3: [76, 91] from Operation: 99-8=91
Current State: 15:[76, 91], Operations: ['4*19=76', '99-8=91']
Exploring Operation: 91-76=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
54,
66,
75,
21
] | 65 | [
"75-54=21",
"21/21=1",
"66-1=65"
] | Current State: 65:[54, 66, 75, 21], Operations: []
Exploring Operation: 75-54=21, Resulting Numbers: [66, 21, 21]
Generated Node #2: [66, 21, 21] from Operation: 75-54=21
Current State: 65:[66, 21, 21], Operations: ['75-54=21']
Exploring Operation: 21/21=1, Resulting Numbers: [66, 1]
Generated Node #3: [66, 1] from Operation: 21/21=1
Current State: 65:[66, 1], Operations: ['75-54=21', '21/21=1']
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
54,
76,
38,
26
] | 41 | [
"76/38=2",
"26/2=13",
"54-13=41"
] | Current State: 41:[54, 76, 38, 26], Operations: []
Exploring Operation: 76/38=2, Resulting Numbers: [54, 26, 2]
Generated Node #2: [54, 26, 2] from Operation: 76/38=2
Current State: 41:[54, 26, 2], Operations: ['76/38=2']
Exploring Operation: 26/2=13, Resulting Numbers: [54, 13]
Generated Node #3: [54, 13] from Operation: 26/2=13
Current State: 41:[54, 13], Operations: ['76/38=2', '26/2=13']
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
8,
41,
31,
55
] | 64 | [
"41+31=72",
"72/8=9",
"55+9=64"
] | Current State: 64:[8, 41, 31, 55], Operations: []
Exploring Operation: 41+31=72, Resulting Numbers: [8, 55, 72]
Generated Node #2: [8, 55, 72] from Operation: 41+31=72
Current State: 64:[8, 55, 72], Operations: ['41+31=72']
Exploring Operation: 72/8=9, Resulting Numbers: [55, 9]
Generated Node #3: [55, 9] from Operation: 72/8=9
Current State: 64:[55, 9], Operations: ['41+31=72', '72/8=9']
Exploring Operation: 55+9=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
68,
14,
71,
83
] | 66 | [
"68-14=54",
"83-71=12",
"54+12=66"
] | Current State: 66:[68, 14, 71, 83], Operations: []
Exploring Operation: 68-14=54, Resulting Numbers: [71, 83, 54]
Generated Node #2: [71, 83, 54] from Operation: 68-14=54
Current State: 66:[71, 83, 54], Operations: ['68-14=54']
Exploring Operation: 83-71=12, Resulting Numbers: [54, 12]
Generated Node #3: [54, 12] from Operation: 83-71=12
Current State: 66:[54, 12], Operations: ['68-14=54', '83-71=12']
Exploring Operation: 54+12=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
56,
29,
75,
73
] | 87 | [
"56+29=85",
"75-73=2",
"85+2=87"
] | Current State: 87:[56, 29, 75, 73], Operations: []
Exploring Operation: 56+29=85, Resulting Numbers: [75, 73, 85]
Generated Node #2: [75, 73, 85] from Operation: 56+29=85
Current State: 87:[75, 73, 85], Operations: ['56+29=85']
Exploring Operation: 75-73=2, Resulting Numbers: [85, 2]
Generated Node #3: [85, 2] from Operation: 75-73=2
Current State: 87:[85, 2], Operations: ['56+29=85', '75-73=2']
Exploring Operation: 85+2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
30,
30,
85,
53
] | 53 | [
"30-30=0",
"85*0=0",
"53+0=53"
] | Current State: 53:[30, 30, 85, 53], Operations: []
Exploring Operation: 30-30=0, Resulting Numbers: [85, 53, 0]
Generated Node #2: [85, 53, 0] from Operation: 30-30=0
Current State: 53:[85, 53, 0], Operations: ['30-30=0']
Exploring Operation: 85*0=0, Resulting Numbers: [53, 0]
Generated Node #3: [53, 0] from Operation: 85*0=0
Current State: 53:[53, 0], Operations: ['30-30=0', '85*0=0']
Exploring Operation: 53+0=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
43,
81,
33,
80
] | 10 | [
"43-33=10",
"81-80=1",
"10*1=10"
] | Current State: 10:[43, 81, 33, 80], Operations: []
Exploring Operation: 43-33=10, Resulting Numbers: [81, 80, 10]
Generated Node #2: [81, 80, 10] from Operation: 43-33=10
Current State: 10:[81, 80, 10], Operations: ['43-33=10']
Exploring Operation: 81-80=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 81-80=1
Current State: 10:[10, 1], Operations: ['43-33=10', '81-80=1']
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
26,
98,
47,
70
] | 94 | [
"98-26=72",
"72-70=2",
"47*2=94"
] | Current State: 94:[26, 98, 47, 70], Operations: []
Exploring Operation: 98-26=72, Resulting Numbers: [47, 70, 72]
Generated Node #2: [47, 70, 72] from Operation: 98-26=72
Current State: 94:[47, 70, 72], Operations: ['98-26=72']
Exploring Operation: 72-70=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 72-70=2
Current State: 94:[47, 2], Operations: ['98-26=72', '72-70=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
40,
48,
2,
88
] | 78 | [
"48-40=8",
"88-2=86",
"86-8=78"
] | Current State: 78:[40, 48, 2, 88], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [2, 88, 8]
Generated Node #2: [2, 88, 8] from Operation: 48-40=8
Current State: 78:[2, 88, 8], Operations: ['48-40=8']
Exploring Operation: 88-2=86, Resulting Numbers: [8, 86]
Generated Node #3: [8, 86] from Operation: 88-2=86
Current State: 78:[8, 86], Operations: ['48-40=8', '88-2=86']
Exploring Operation: 86-8=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
74,
84,
60,
7
] | 13 | [
"84-74=10",
"60/10=6",
"7+6=13"
] | Current State: 13:[74, 84, 60, 7], Operations: []
Exploring Operation: 84-74=10, Resulting Numbers: [60, 7, 10]
Generated Node #2: [60, 7, 10] from Operation: 84-74=10
Current State: 13:[60, 7, 10], Operations: ['84-74=10']
Exploring Operation: 60/10=6, Resulting Numbers: [7, 6]
Generated Node #3: [7, 6] from Operation: 60/10=6
Current State: 13:[7, 6], Operations: ['84-74=10', '60/10=6']
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
33,
2,
23,
25
] | 38 | [
"33-25=8",
"2*23=46",
"46-8=38"
] | Current State: 38:[33, 2, 23, 25], Operations: []
Exploring Operation: 33-25=8, Resulting Numbers: [2, 23, 8]
Generated Node #2: [2, 23, 8] from Operation: 33-25=8
Current State: 38:[2, 23, 8], Operations: ['33-25=8']
Exploring Operation: 2*23=46, Resulting Numbers: [8, 46]
Generated Node #3: [8, 46] from Operation: 2*23=46
Current State: 38:[8, 46], Operations: ['33-25=8', '2*23=46']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
19,
6,
14,
50
] | 78 | [
"19*6=114",
"50-14=36",
"114-36=78"
] | Current State: 78:[19, 6, 14, 50], Operations: []
Exploring Operation: 19*6=114, Resulting Numbers: [14, 50, 114]
Generated Node #2: [14, 50, 114] from Operation: 19*6=114
Current State: 78:[14, 50, 114], Operations: ['19*6=114']
Exploring Operation: 50-14=36, Resulting Numbers: [114, 36]
Generated Node #3: [114, 36] from Operation: 50-14=36
Current State: 78:[114, 36], Operations: ['19*6=114', '50-14=36']
Exploring Operation: 114-36=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
11,
22,
31,
8
] | 57 | [
"22-11=11",
"8*11=88",
"88-31=57"
] | Current State: 57:[11, 22, 31, 8], Operations: []
Exploring Operation: 22-11=11, Resulting Numbers: [31, 8, 11]
Generated Node #2: [31, 8, 11] from Operation: 22-11=11
Current State: 57:[31, 8, 11], Operations: ['22-11=11']
Exploring Operation: 8*11=88, Resulting Numbers: [31, 88]
Generated Node #3: [31, 88] from Operation: 8*11=88
Current State: 57:[31, 88], Operations: ['22-11=11', '8*11=88']
Exploring Operation: 88-31=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
2,
25,
81,
18
] | 90 | [
"2+25=27",
"81-18=63",
"27+63=90"
] | Current State: 90:[2, 25, 81, 18], Operations: []
Exploring Operation: 2+25=27, Resulting Numbers: [81, 18, 27]
Generated Node #2: [81, 18, 27] from Operation: 2+25=27
Current State: 90:[81, 18, 27], Operations: ['2+25=27']
Exploring Operation: 81-18=63, Resulting Numbers: [27, 63]
Generated Node #3: [27, 63] from Operation: 81-18=63
Current State: 90:[27, 63], Operations: ['2+25=27', '81-18=63']
Exploring Operation: 27+63=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
81,
87,
94,
70
] | 30 | [
"87-81=6",
"94-70=24",
"6+24=30"
] | Current State: 30:[81, 87, 94, 70], Operations: []
Exploring Operation: 87-81=6, Resulting Numbers: [94, 70, 6]
Generated Node #2: [94, 70, 6] from Operation: 87-81=6
Current State: 30:[94, 70, 6], Operations: ['87-81=6']
Exploring Operation: 94-70=24, Resulting Numbers: [6, 24]
Generated Node #3: [6, 24] from Operation: 94-70=24
Current State: 30:[6, 24], Operations: ['87-81=6', '94-70=24']
Exploring Operation: 6+24=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
80,
81,
64,
2
] | 95 | [
"80+81=161",
"64+2=66",
"161-66=95"
] | Current State: 95:[80, 81, 64, 2], Operations: []
Exploring Operation: 80+81=161, Resulting Numbers: [64, 2, 161]
Generated Node #2: [64, 2, 161] from Operation: 80+81=161
Current State: 95:[64, 2, 161], Operations: ['80+81=161']
Exploring Operation: 64+2=66, Resulting Numbers: [161, 66]
Generated Node #3: [161, 66] from Operation: 64+2=66
Current State: 95:[161, 66], Operations: ['80+81=161', '64+2=66']
Exploring Operation: 161-66=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
98,
39,
40,
2
] | 97 | [
"98-39=59",
"40-2=38",
"59+38=97"
] | Current State: 97:[98, 39, 40, 2], Operations: []
Exploring Operation: 98-39=59, Resulting Numbers: [40, 2, 59]
Generated Node #2: [40, 2, 59] from Operation: 98-39=59
Current State: 97:[40, 2, 59], Operations: ['98-39=59']
Exploring Operation: 40-2=38, Resulting Numbers: [59, 38]
Generated Node #3: [59, 38] from Operation: 40-2=38
Current State: 97:[59, 38], Operations: ['98-39=59', '40-2=38']
Exploring Operation: 59+38=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
67,
22,
51,
38
] | 58 | [
"67-22=45",
"51-38=13",
"45+13=58"
] | Current State: 58:[67, 22, 51, 38], Operations: []
Exploring Operation: 67-22=45, Resulting Numbers: [51, 38, 45]
Generated Node #2: [51, 38, 45] from Operation: 67-22=45
Current State: 58:[51, 38, 45], Operations: ['67-22=45']
Exploring Operation: 51-38=13, Resulting Numbers: [45, 13]
Generated Node #3: [45, 13] from Operation: 51-38=13
Current State: 58:[45, 13], Operations: ['67-22=45', '51-38=13']
Exploring Operation: 45+13=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
36,
67,
44,
88
] | 78 | [
"44-36=8",
"88/8=11",
"67+11=78"
] | Current State: 78:[36, 67, 44, 88], Operations: []
Exploring Operation: 44-36=8, Resulting Numbers: [67, 88, 8]
Generated Node #2: [67, 88, 8] from Operation: 44-36=8
Current State: 78:[67, 88, 8], Operations: ['44-36=8']
Exploring Operation: 88/8=11, Resulting Numbers: [67, 11]
Generated Node #3: [67, 11] from Operation: 88/8=11
Current State: 78:[67, 11], Operations: ['44-36=8', '88/8=11']
Exploring Operation: 67+11=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
27,
39,
11,
67
] | 44 | [
"39-27=12",
"67-11=56",
"56-12=44"
] | Current State: 44:[27, 39, 11, 67], Operations: []
Exploring Operation: 39-27=12, Resulting Numbers: [11, 67, 12]
Generated Node #2: [11, 67, 12] from Operation: 39-27=12
Current State: 44:[11, 67, 12], Operations: ['39-27=12']
Exploring Operation: 67-11=56, Resulting Numbers: [12, 56]
Generated Node #3: [12, 56] from Operation: 67-11=56
Current State: 44:[12, 56], Operations: ['39-27=12', '67-11=56']
Exploring Operation: 56-12=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
45,
9,
62,
51
] | 16 | [
"45/9=5",
"62-51=11",
"5+11=16"
] | Current State: 16:[45, 9, 62, 51], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [62, 51, 5]
Generated Node #2: [62, 51, 5] from Operation: 45/9=5
Current State: 16:[62, 51, 5], Operations: ['45/9=5']
Exploring Operation: 62-51=11, Resulting Numbers: [5, 11]
Generated Node #3: [5, 11] from Operation: 62-51=11
Current State: 16:[5, 11], Operations: ['45/9=5', '62-51=11']
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
65,
64,
19,
70
] | 51 | [
"65-64=1",
"70-19=51",
"1*51=51"
] | Current State: 51:[65, 64, 19, 70], Operations: []
Exploring Operation: 65-64=1, Resulting Numbers: [19, 70, 1]
Generated Node #2: [19, 70, 1] from Operation: 65-64=1
Current State: 51:[19, 70, 1], Operations: ['65-64=1']
Exploring Operation: 70-19=51, Resulting Numbers: [1, 51]
Generated Node #3: [1, 51] from Operation: 70-19=51
Current State: 51:[1, 51], Operations: ['65-64=1', '70-19=51']
Exploring Operation: 1*51=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
96,
69,
91
] | 79 | [
"96-91=5",
"2*5=10",
"69+10=79"
] | Current State: 79:[2, 96, 69, 91], Operations: []
Exploring Operation: 96-91=5, Resulting Numbers: [2, 69, 5]
Generated Node #2: [2, 69, 5] from Operation: 96-91=5
Current State: 79:[2, 69, 5], Operations: ['96-91=5']
Exploring Operation: 2*5=10, Resulting Numbers: [69, 10]
Generated Node #3: [69, 10] from Operation: 2*5=10
Current State: 79:[69, 10], Operations: ['96-91=5', '2*5=10']
Exploring Operation: 69+10=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
80,
46,
69,
78
] | 21 | [
"80+46=126",
"69+78=147",
"147-126=21"
] | Current State: 21:[80, 46, 69, 78], Operations: []
Exploring Operation: 80+46=126, Resulting Numbers: [69, 78, 126]
Generated Node #2: [69, 78, 126] from Operation: 80+46=126
Current State: 21:[69, 78, 126], Operations: ['80+46=126']
Exploring Operation: 69+78=147, Resulting Numbers: [126, 147]
Generated Node #3: [126, 147] from Operation: 69+78=147
Current State: 21:[126, 147], Operations: ['80+46=126', '69+78=147']
Exploring Operation: 147-126=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
36,
57,
32,
55
] | 44 | [
"57-36=21",
"55-32=23",
"21+23=44"
] | Current State: 44:[36, 57, 32, 55], Operations: []
Exploring Operation: 57-36=21, Resulting Numbers: [32, 55, 21]
Generated Node #2: [32, 55, 21] from Operation: 57-36=21
Current State: 44:[32, 55, 21], Operations: ['57-36=21']
Exploring Operation: 55-32=23, Resulting Numbers: [21, 23]
Generated Node #3: [21, 23] from Operation: 55-32=23
Current State: 44:[21, 23], Operations: ['57-36=21', '55-32=23']
Exploring Operation: 21+23=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
67,
12,
74,
11
] | 69 | [
"67-12=55",
"55/11=5",
"74-5=69"
] | Current State: 69:[67, 12, 74, 11], Operations: []
Exploring Operation: 67-12=55, Resulting Numbers: [74, 11, 55]
Generated Node #2: [74, 11, 55] from Operation: 67-12=55
Current State: 69:[74, 11, 55], Operations: ['67-12=55']
Exploring Operation: 55/11=5, Resulting Numbers: [74, 5]
Generated Node #3: [74, 5] from Operation: 55/11=5
Current State: 69:[74, 5], Operations: ['67-12=55', '55/11=5']
Exploring Operation: 74-5=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
30,
85,
8,
58
] | 96 | [
"30+58=88",
"88/8=11",
"85+11=96"
] | Current State: 96:[30, 85, 8, 58], Operations: []
Exploring Operation: 30+58=88, Resulting Numbers: [85, 8, 88]
Generated Node #2: [85, 8, 88] from Operation: 30+58=88
Current State: 96:[85, 8, 88], Operations: ['30+58=88']
Exploring Operation: 88/8=11, Resulting Numbers: [85, 11]
Generated Node #3: [85, 11] from Operation: 88/8=11
Current State: 96:[85, 11], Operations: ['30+58=88', '88/8=11']
Exploring Operation: 85+11=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
53,
66,
37,
58
] | 55 | [
"66-37=29",
"58/29=2",
"53+2=55"
] | Current State: 55:[53, 66, 37, 58], Operations: []
Exploring Operation: 66-37=29, Resulting Numbers: [53, 58, 29]
Generated Node #2: [53, 58, 29] from Operation: 66-37=29
Current State: 55:[53, 58, 29], Operations: ['66-37=29']
Exploring Operation: 58/29=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 58/29=2
Current State: 55:[53, 2], Operations: ['66-37=29', '58/29=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
4,
62,
41,
63
] | 80 | [
"62-4=58",
"63-41=22",
"58+22=80"
] | Current State: 80:[4, 62, 41, 63], Operations: []
Exploring Operation: 62-4=58, Resulting Numbers: [41, 63, 58]
Generated Node #2: [41, 63, 58] from Operation: 62-4=58
Current State: 80:[41, 63, 58], Operations: ['62-4=58']
Exploring Operation: 63-41=22, Resulting Numbers: [58, 22]
Generated Node #3: [58, 22] from Operation: 63-41=22
Current State: 80:[58, 22], Operations: ['62-4=58', '63-41=22']
Exploring Operation: 58+22=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
9,
85,
29,
41
] | 88 | [
"85-9=76",
"41-29=12",
"76+12=88"
] | Current State: 88:[9, 85, 29, 41], Operations: []
Exploring Operation: 85-9=76, Resulting Numbers: [29, 41, 76]
Generated Node #2: [29, 41, 76] from Operation: 85-9=76
Current State: 88:[29, 41, 76], Operations: ['85-9=76']
Exploring Operation: 41-29=12, Resulting Numbers: [76, 12]
Generated Node #3: [76, 12] from Operation: 41-29=12
Current State: 88:[76, 12], Operations: ['85-9=76', '41-29=12']
Exploring Operation: 76+12=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
68,
19,
79,
20
] | 12 | [
"68+19=87",
"79+20=99",
"99-87=12"
] | Current State: 12:[68, 19, 79, 20], Operations: []
Exploring Operation: 68+19=87, Resulting Numbers: [79, 20, 87]
Generated Node #2: [79, 20, 87] from Operation: 68+19=87
Current State: 12:[79, 20, 87], Operations: ['68+19=87']
Exploring Operation: 79+20=99, Resulting Numbers: [87, 99]
Generated Node #3: [87, 99] from Operation: 79+20=99
Current State: 12:[87, 99], Operations: ['68+19=87', '79+20=99']
Exploring Operation: 99-87=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
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