nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
58,
10,
55,
62
] | 43 | [
"58+62=120",
"120/10=12",
"55-12=43"
] | Current State: 43:[58, 10, 55, 62], Operations: []
Exploring Operation: 58+62=120, Resulting Numbers: [10, 55, 120]
Generated Node #2: [10, 55, 120] from Operation: 58+62=120
Current State: 43:[10, 55, 120], Operations: ['58+62=120']
Exploring Operation: 120/10=12, Resulting Numbers: [55, 12]
Generated Node #3: [55, 12] from Operation: 120/10=12
Current State: 43:[55, 12], Operations: ['58+62=120', '120/10=12']
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
70,
58,
28,
36
] | 64 | [
"70+58=128",
"28+36=64",
"128-64=64"
] | Current State: 64:[70, 58, 28, 36], Operations: []
Exploring Operation: 70+58=128, Resulting Numbers: [28, 36, 128]
Generated Node #2: [28, 36, 128] from Operation: 70+58=128
Current State: 64:[28, 36, 128], Operations: ['70+58=128']
Exploring Operation: 28+36=64, Resulting Numbers: [128, 64]
Generated Node #3: [128, 64] from Operation: 28+36=64
Current State: 64:[128, 64], Operations: ['70+58=128', '28+36=64']
Exploring Operation: 128-64=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
33,
87,
37,
82
] | 99 | [
"87-33=54",
"82-37=45",
"54+45=99"
] | Current State: 99:[33, 87, 37, 82], Operations: []
Exploring Operation: 87-33=54, Resulting Numbers: [37, 82, 54]
Generated Node #2: [37, 82, 54] from Operation: 87-33=54
Current State: 99:[37, 82, 54], Operations: ['87-33=54']
Exploring Operation: 82-37=45, Resulting Numbers: [54, 45]
Generated Node #3: [54, 45] from Operation: 82-37=45
Current State: 99:[54, 45], Operations: ['87-33=54', '82-37=45']
Exploring Operation: 54+45=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
26,
15,
71,
21
] | 24 | [
"71-26=45",
"45/15=3",
"21+3=24"
] | Current State: 24:[26, 15, 71, 21], Operations: []
Exploring Operation: 71-26=45, Resulting Numbers: [15, 21, 45]
Generated Node #2: [15, 21, 45] from Operation: 71-26=45
Current State: 24:[15, 21, 45], Operations: ['71-26=45']
Exploring Operation: 45/15=3, Resulting Numbers: [21, 3]
Generated Node #3: [21, 3] from Operation: 45/15=3
Current State: 24:[21, 3], Operations: ['71-26=45', '45/15=3']
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
60,
60,
64,
56
] | 58 | [
"64+56=120",
"120/60=2",
"60-2=58"
] | Current State: 58:[60, 60, 64, 56], Operations: []
Exploring Operation: 64+56=120, Resulting Numbers: [60, 60, 120]
Generated Node #2: [60, 60, 120] from Operation: 64+56=120
Current State: 58:[60, 60, 120], Operations: ['64+56=120']
Exploring Operation: 120/60=2, Resulting Numbers: [2]
2,58 equal: Goal Reached
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
73,
17,
78,
5
] | 92 | [
"17+78=95",
"95/5=19",
"73+19=92"
] | Current State: 92:[73, 17, 78, 5], Operations: []
Exploring Operation: 17+78=95, Resulting Numbers: [73, 5, 95]
Generated Node #2: [73, 5, 95] from Operation: 17+78=95
Current State: 92:[73, 5, 95], Operations: ['17+78=95']
Exploring Operation: 95/5=19, Resulting Numbers: [73, 19]
Generated Node #3: [73, 19] from Operation: 95/5=19
Current State: 92:[73, 19], Operations: ['17+78=95', '95/5=19']
Exploring Operation: 73+19=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
76,
79,
37,
40
] | 78 | [
"76+79=155",
"37+40=77",
"155-77=78"
] | Current State: 78:[76, 79, 37, 40], Operations: []
Exploring Operation: 76+79=155, Resulting Numbers: [37, 40, 155]
Generated Node #2: [37, 40, 155] from Operation: 76+79=155
Current State: 78:[37, 40, 155], Operations: ['76+79=155']
Exploring Operation: 37+40=77, Resulting Numbers: [155, 77]
Generated Node #3: [155, 77] from Operation: 37+40=77
Current State: 78:[155, 77], Operations: ['76+79=155', '37+40=77']
Exploring Operation: 155-77=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
22,
20,
35,
36
] | 37 | [
"22-20=2",
"36*2=72",
"72-35=37"
] | Current State: 37:[22, 20, 35, 36], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [35, 36, 2]
Generated Node #2: [35, 36, 2] from Operation: 22-20=2
Current State: 37:[35, 36, 2], Operations: ['22-20=2']
Exploring Operation: 36*2=72, Resulting Numbers: [35, 72]
Generated Node #3: [35, 72] from Operation: 36*2=72
Current State: 37:[35, 72], Operations: ['22-20=2', '36*2=72']
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
68,
34,
46,
85
] | 47 | [
"46*85=3910",
"3910/34=115",
"115-68=47"
] | Current State: 47:[68, 34, 46, 85], Operations: []
Exploring Operation: 46*85=3910, Resulting Numbers: [68, 34, 3910]
Generated Node #2: [68, 34, 3910] from Operation: 46*85=3910
Current State: 47:[68, 34, 3910], Operations: ['46*85=3910']
Exploring Operation: 3910/34=115, Resulting Numbers: [68, 115]
Generated Node #3: [68, 115] from Operation: 3910/34=115
Current State: 47:[68, 115], Operations: ['46*85=3910', '3910/34=115']
Exploring Operation: 115-68=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
4,
53,
3,
89
] | 96 | [
"4+53=57",
"89-57=32",
"3*32=96"
] | Current State: 96:[4, 53, 3, 89], Operations: []
Exploring Operation: 4+53=57, Resulting Numbers: [3, 89, 57]
Generated Node #2: [3, 89, 57] from Operation: 4+53=57
Current State: 96:[3, 89, 57], Operations: ['4+53=57']
Exploring Operation: 89-57=32, Resulting Numbers: [3, 32]
Generated Node #3: [3, 32] from Operation: 89-57=32
Current State: 96:[3, 32], Operations: ['4+53=57', '89-57=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
50,
11,
92,
8
] | 39 | [
"50+11=61",
"92+8=100",
"100-61=39"
] | Current State: 39:[50, 11, 92, 8], Operations: []
Exploring Operation: 50+11=61, Resulting Numbers: [92, 8, 61]
Generated Node #2: [92, 8, 61] from Operation: 50+11=61
Current State: 39:[92, 8, 61], Operations: ['50+11=61']
Exploring Operation: 92+8=100, Resulting Numbers: [61, 100]
Generated Node #3: [61, 100] from Operation: 92+8=100
Current State: 39:[61, 100], Operations: ['50+11=61', '92+8=100']
Exploring Operation: 100-61=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
27,
40,
85,
75
] | 31 | [
"85+75=160",
"160/40=4",
"27+4=31"
] | Current State: 31:[27, 40, 85, 75], Operations: []
Exploring Operation: 85+75=160, Resulting Numbers: [27, 40, 160]
Generated Node #2: [27, 40, 160] from Operation: 85+75=160
Current State: 31:[27, 40, 160], Operations: ['85+75=160']
Exploring Operation: 160/40=4, Resulting Numbers: [27, 4]
Generated Node #3: [27, 4] from Operation: 160/40=4
Current State: 31:[27, 4], Operations: ['85+75=160', '160/40=4']
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
16,
8,
26,
12
] | 54 | [
"16+26=42",
"8*12=96",
"96-42=54"
] | Current State: 54:[16, 8, 26, 12], Operations: []
Exploring Operation: 16+26=42, Resulting Numbers: [8, 12, 42]
Generated Node #2: [8, 12, 42] from Operation: 16+26=42
Current State: 54:[8, 12, 42], Operations: ['16+26=42']
Exploring Operation: 8*12=96, Resulting Numbers: [42, 96]
Generated Node #3: [42, 96] from Operation: 8*12=96
Current State: 54:[42, 96], Operations: ['16+26=42', '8*12=96']
Exploring Operation: 96-42=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
58,
40,
78,
77
] | 98 | [
"58+40=98",
"78-77=1",
"98*1=98"
] | Current State: 98:[58, 40, 78, 77], Operations: []
Exploring Operation: 58+40=98, Resulting Numbers: [78, 77, 98]
Generated Node #2: [78, 77, 98] from Operation: 58+40=98
Current State: 98:[78, 77, 98], Operations: ['58+40=98']
Exploring Operation: 78-77=1, Resulting Numbers: [98, 1]
Generated Node #3: [98, 1] from Operation: 78-77=1
Current State: 98:[98, 1], Operations: ['58+40=98', '78-77=1']
Exploring Operation: 98*1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
36,
10,
96,
83
] | 77 | [
"96-36=60",
"60/10=6",
"83-6=77"
] | Current State: 77:[36, 10, 96, 83], Operations: []
Exploring Operation: 96-36=60, Resulting Numbers: [10, 83, 60]
Generated Node #2: [10, 83, 60] from Operation: 96-36=60
Current State: 77:[10, 83, 60], Operations: ['96-36=60']
Exploring Operation: 60/10=6, Resulting Numbers: [83, 6]
Generated Node #3: [83, 6] from Operation: 60/10=6
Current State: 77:[83, 6], Operations: ['96-36=60', '60/10=6']
Exploring Operation: 83-6=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
98,
4,
84,
90
] | 17 | [
"98+4=102",
"90-84=6",
"102/6=17"
] | Current State: 17:[98, 4, 84, 90], Operations: []
Exploring Operation: 98+4=102, Resulting Numbers: [84, 90, 102]
Generated Node #2: [84, 90, 102] from Operation: 98+4=102
Current State: 17:[84, 90, 102], Operations: ['98+4=102']
Exploring Operation: 90-84=6, Resulting Numbers: [102, 6]
Generated Node #3: [102, 6] from Operation: 90-84=6
Current State: 17:[102, 6], Operations: ['98+4=102', '90-84=6']
Exploring Operation: 102/6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
43,
80,
4,
97
] | 25 | [
"97-80=17",
"4*17=68",
"68-43=25"
] | Current State: 25:[43, 80, 4, 97], Operations: []
Exploring Operation: 97-80=17, Resulting Numbers: [43, 4, 17]
Generated Node #2: [43, 4, 17] from Operation: 97-80=17
Current State: 25:[43, 4, 17], Operations: ['97-80=17']
Exploring Operation: 4*17=68, Resulting Numbers: [43, 68]
Generated Node #3: [43, 68] from Operation: 4*17=68
Current State: 25:[43, 68], Operations: ['97-80=17', '4*17=68']
Exploring Operation: 68-43=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
40,
4,
33,
87
] | 70 | [
"33+87=120",
"120/4=30",
"40+30=70"
] | Current State: 70:[40, 4, 33, 87], Operations: []
Exploring Operation: 33+87=120, Resulting Numbers: [40, 4, 120]
Generated Node #2: [40, 4, 120] from Operation: 33+87=120
Current State: 70:[40, 4, 120], Operations: ['33+87=120']
Exploring Operation: 120/4=30, Resulting Numbers: [40, 30]
Generated Node #3: [40, 30] from Operation: 120/4=30
Current State: 70:[40, 30], Operations: ['33+87=120', '120/4=30']
Exploring Operation: 40+30=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
60,
81,
10,
80
] | 71 | [
"60+81=141",
"80-10=70",
"141-70=71"
] | Current State: 71:[60, 81, 10, 80], Operations: []
Exploring Operation: 60+81=141, Resulting Numbers: [10, 80, 141]
Generated Node #2: [10, 80, 141] from Operation: 60+81=141
Current State: 71:[10, 80, 141], Operations: ['60+81=141']
Exploring Operation: 80-10=70, Resulting Numbers: [141, 70]
Generated Node #3: [141, 70] from Operation: 80-10=70
Current State: 71:[141, 70], Operations: ['60+81=141', '80-10=70']
Exploring Operation: 141-70=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
23,
12,
86,
3
] | 48 | [
"23+12=35",
"86-3=83",
"83-35=48"
] | Current State: 48:[23, 12, 86, 3], Operations: []
Exploring Operation: 23+12=35, Resulting Numbers: [86, 3, 35]
Generated Node #2: [86, 3, 35] from Operation: 23+12=35
Current State: 48:[86, 3, 35], Operations: ['23+12=35']
Exploring Operation: 86-3=83, Resulting Numbers: [35, 83]
Generated Node #3: [35, 83] from Operation: 86-3=83
Current State: 48:[35, 83], Operations: ['23+12=35', '86-3=83']
Exploring Operation: 83-35=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
7,
52,
3,
76
] | 59 | [
"52-7=45",
"3*45=135",
"135-76=59"
] | Current State: 59:[7, 52, 3, 76], Operations: []
Exploring Operation: 52-7=45, Resulting Numbers: [3, 76, 45]
Generated Node #2: [3, 76, 45] from Operation: 52-7=45
Current State: 59:[3, 76, 45], Operations: ['52-7=45']
Exploring Operation: 3*45=135, Resulting Numbers: [76, 135]
Generated Node #3: [76, 135] from Operation: 3*45=135
Current State: 59:[76, 135], Operations: ['52-7=45', '3*45=135']
Exploring Operation: 135-76=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
13,
79,
46,
88
] | 42 | [
"13+79=92",
"46+88=134",
"134-92=42"
] | Current State: 42:[13, 79, 46, 88], Operations: []
Exploring Operation: 13+79=92, Resulting Numbers: [46, 88, 92]
Generated Node #2: [46, 88, 92] from Operation: 13+79=92
Current State: 42:[46, 88, 92], Operations: ['13+79=92']
Exploring Operation: 46+88=134, Resulting Numbers: [92, 134]
Generated Node #3: [92, 134] from Operation: 46+88=134
Current State: 42:[92, 134], Operations: ['13+79=92', '46+88=134']
Exploring Operation: 134-92=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
26,
66,
53,
11
] | 73 | [
"26+53=79",
"66/11=6",
"79-6=73"
] | Current State: 73:[26, 66, 53, 11], Operations: []
Exploring Operation: 26+53=79, Resulting Numbers: [66, 11, 79]
Generated Node #2: [66, 11, 79] from Operation: 26+53=79
Current State: 73:[66, 11, 79], Operations: ['26+53=79']
Exploring Operation: 66/11=6, Resulting Numbers: [79, 6]
Generated Node #3: [79, 6] from Operation: 66/11=6
Current State: 73:[79, 6], Operations: ['26+53=79', '66/11=6']
Exploring Operation: 79-6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
31,
99,
43,
98
] | 12 | [
"43-31=12",
"99-98=1",
"12*1=12"
] | Current State: 12:[31, 99, 43, 98], Operations: []
Exploring Operation: 43-31=12, Resulting Numbers: [99, 98, 12]
Generated Node #2: [99, 98, 12] from Operation: 43-31=12
Current State: 12:[99, 98, 12], Operations: ['43-31=12']
Exploring Operation: 99-98=1, Resulting Numbers: [12, 1]
Generated Node #3: [12, 1] from Operation: 99-98=1
Current State: 12:[12, 1], Operations: ['43-31=12', '99-98=1']
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
63,
74,
16,
8
] | 13 | [
"74-63=11",
"16+8=24",
"24-11=13"
] | Current State: 13:[63, 74, 16, 8], Operations: []
Exploring Operation: 74-63=11, Resulting Numbers: [16, 8, 11]
Generated Node #2: [16, 8, 11] from Operation: 74-63=11
Current State: 13:[16, 8, 11], Operations: ['74-63=11']
Exploring Operation: 16+8=24, Resulting Numbers: [11, 24]
Generated Node #3: [11, 24] from Operation: 16+8=24
Current State: 13:[11, 24], Operations: ['74-63=11', '16+8=24']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
18,
27,
7,
18
] | 70 | [
"18+27=45",
"7+18=25",
"45+25=70"
] | Current State: 70:[18, 27, 7, 18], Operations: []
Exploring Operation: 18+27=45, Resulting Numbers: [7, 45]
Generated Node #2: [7, 45] from Operation: 18+27=45
Current State: 70:[7, 45], Operations: ['18+27=45']
Exploring Operation: 7+18=25, Resulting Numbers: [45, 25]
Generated Node #3: [45, 25] from Operation: 7+18=25
Current State: 70:[45, 25], Operations: ['18+27=45', '7+18=25']
Exploring Operation: 45+25=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
45,
82,
8,
14
] | 31 | [
"82-45=37",
"14-8=6",
"37-6=31"
] | Current State: 31:[45, 82, 8, 14], Operations: []
Exploring Operation: 82-45=37, Resulting Numbers: [8, 14, 37]
Generated Node #2: [8, 14, 37] from Operation: 82-45=37
Current State: 31:[8, 14, 37], Operations: ['82-45=37']
Exploring Operation: 14-8=6, Resulting Numbers: [37, 6]
Generated Node #3: [37, 6] from Operation: 14-8=6
Current State: 31:[37, 6], Operations: ['82-45=37', '14-8=6']
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
94,
33,
95,
75
] | 42 | [
"95-94=1",
"75-33=42",
"1*42=42"
] | Current State: 42:[94, 33, 95, 75], Operations: []
Exploring Operation: 95-94=1, Resulting Numbers: [33, 75, 1]
Generated Node #2: [33, 75, 1] from Operation: 95-94=1
Current State: 42:[33, 75, 1], Operations: ['95-94=1']
Exploring Operation: 75-33=42, Resulting Numbers: [1, 42]
Generated Node #3: [1, 42] from Operation: 75-33=42
Current State: 42:[1, 42], Operations: ['95-94=1', '75-33=42']
Exploring Operation: 1*42=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
4,
14,
93,
19
] | 15 | [
"93-14=79",
"79-19=60",
"60/4=15"
] | Current State: 15:[4, 14, 93, 19], Operations: []
Exploring Operation: 93-14=79, Resulting Numbers: [4, 19, 79]
Generated Node #2: [4, 19, 79] from Operation: 93-14=79
Current State: 15:[4, 19, 79], Operations: ['93-14=79']
Exploring Operation: 79-19=60, Resulting Numbers: [4, 60]
Generated Node #3: [4, 60] from Operation: 79-19=60
Current State: 15:[4, 60], Operations: ['93-14=79', '79-19=60']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
7,
75,
31,
24
] | 27 | [
"7+75=82",
"31+24=55",
"82-55=27"
] | Current State: 27:[7, 75, 31, 24], Operations: []
Exploring Operation: 7+75=82, Resulting Numbers: [31, 24, 82]
Generated Node #2: [31, 24, 82] from Operation: 7+75=82
Current State: 27:[31, 24, 82], Operations: ['7+75=82']
Exploring Operation: 31+24=55, Resulting Numbers: [82, 55]
Generated Node #3: [82, 55] from Operation: 31+24=55
Current State: 27:[82, 55], Operations: ['7+75=82', '31+24=55']
Exploring Operation: 82-55=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
62,
1,
7,
2
] | 57 | [
"62*1=62",
"7-2=5",
"62-5=57"
] | Current State: 57:[62, 1, 7, 2], Operations: []
Exploring Operation: 62*1=62, Resulting Numbers: [7, 2, 62]
Generated Node #2: [7, 2, 62] from Operation: 62*1=62
Current State: 57:[7, 2, 62], Operations: ['62*1=62']
Exploring Operation: 7-2=5, Resulting Numbers: [62, 5]
Generated Node #3: [62, 5] from Operation: 7-2=5
Current State: 57:[62, 5], Operations: ['62*1=62', '7-2=5']
Exploring Operation: 62-5=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
44,
23,
47,
33
] | 13 | [
"44+23=67",
"47+33=80",
"80-67=13"
] | Current State: 13:[44, 23, 47, 33], Operations: []
Exploring Operation: 44+23=67, Resulting Numbers: [47, 33, 67]
Generated Node #2: [47, 33, 67] from Operation: 44+23=67
Current State: 13:[47, 33, 67], Operations: ['44+23=67']
Exploring Operation: 47+33=80, Resulting Numbers: [67, 80]
Generated Node #3: [67, 80] from Operation: 47+33=80
Current State: 13:[67, 80], Operations: ['44+23=67', '47+33=80']
Exploring Operation: 80-67=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
18,
75,
77,
75
] | 66 | [
"77-75=2",
"18/2=9",
"75-9=66"
] | Current State: 66:[18, 75, 77, 75], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [18, 2]
Generated Node #2: [18, 2] from Operation: 77-75=2
Current State: 66:[18, 2], Operations: ['77-75=2']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,66 equal: Goal Reached
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
61,
56,
57,
7
] | 84 | [
"61-57=4",
"7*4=28",
"56+28=84"
] | Current State: 84:[61, 56, 57, 7], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [56, 7, 4]
Generated Node #2: [56, 7, 4] from Operation: 61-57=4
Current State: 84:[56, 7, 4], Operations: ['61-57=4']
Exploring Operation: 7*4=28, Resulting Numbers: [56, 28]
Generated Node #3: [56, 28] from Operation: 7*4=28
Current State: 84:[56, 28], Operations: ['61-57=4', '7*4=28']
Exploring Operation: 56+28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
85,
13,
91,
46
] | 32 | [
"91-85=6",
"13*6=78",
"78-46=32"
] | Current State: 32:[85, 13, 91, 46], Operations: []
Exploring Operation: 91-85=6, Resulting Numbers: [13, 46, 6]
Generated Node #2: [13, 46, 6] from Operation: 91-85=6
Current State: 32:[13, 46, 6], Operations: ['91-85=6']
Exploring Operation: 13*6=78, Resulting Numbers: [46, 78]
Generated Node #3: [46, 78] from Operation: 13*6=78
Current State: 32:[46, 78], Operations: ['91-85=6', '13*6=78']
Exploring Operation: 78-46=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
18,
26,
32,
62
] | 59 | [
"32-26=6",
"18/6=3",
"62-3=59"
] | Current State: 59:[18, 26, 32, 62], Operations: []
Exploring Operation: 32-26=6, Resulting Numbers: [18, 62, 6]
Generated Node #2: [18, 62, 6] from Operation: 32-26=6
Current State: 59:[18, 62, 6], Operations: ['32-26=6']
Exploring Operation: 18/6=3, Resulting Numbers: [62, 3]
Generated Node #3: [62, 3] from Operation: 18/6=3
Current State: 59:[62, 3], Operations: ['32-26=6', '18/6=3']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
68,
46,
89,
85
] | 88 | [
"68-46=22",
"89-85=4",
"22*4=88"
] | Current State: 88:[68, 46, 89, 85], Operations: []
Exploring Operation: 68-46=22, Resulting Numbers: [89, 85, 22]
Generated Node #2: [89, 85, 22] from Operation: 68-46=22
Current State: 88:[89, 85, 22], Operations: ['68-46=22']
Exploring Operation: 89-85=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 89-85=4
Current State: 88:[22, 4], Operations: ['68-46=22', '89-85=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
66,
7,
13,
18
] | 68 | [
"66+7=73",
"18-13=5",
"73-5=68"
] | Current State: 68:[66, 7, 13, 18], Operations: []
Exploring Operation: 66+7=73, Resulting Numbers: [13, 18, 73]
Generated Node #2: [13, 18, 73] from Operation: 66+7=73
Current State: 68:[13, 18, 73], Operations: ['66+7=73']
Exploring Operation: 18-13=5, Resulting Numbers: [73, 5]
Generated Node #3: [73, 5] from Operation: 18-13=5
Current State: 68:[73, 5], Operations: ['66+7=73', '18-13=5']
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
38,
2,
18,
31
] | 22 | [
"38*18=684",
"684-2=682",
"682/31=22"
] | Current State: 22:[38, 2, 18, 31], Operations: []
Exploring Operation: 38*18=684, Resulting Numbers: [2, 31, 684]
Generated Node #2: [2, 31, 684] from Operation: 38*18=684
Current State: 22:[2, 31, 684], Operations: ['38*18=684']
Exploring Operation: 684-2=682, Resulting Numbers: [31, 682]
Generated Node #3: [31, 682] from Operation: 684-2=682
Current State: 22:[31, 682], Operations: ['38*18=684', '684-2=682']
Exploring Operation: 682/31=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
18,
70,
20,
7
] | 35 | [
"70+20=90",
"90/18=5",
"7*5=35"
] | Current State: 35:[18, 70, 20, 7], Operations: []
Exploring Operation: 70+20=90, Resulting Numbers: [18, 7, 90]
Generated Node #2: [18, 7, 90] from Operation: 70+20=90
Current State: 35:[18, 7, 90], Operations: ['70+20=90']
Exploring Operation: 90/18=5, Resulting Numbers: [7, 5]
Generated Node #3: [7, 5] from Operation: 90/18=5
Current State: 35:[7, 5], Operations: ['70+20=90', '90/18=5']
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
54,
88,
68,
46
] | 80 | [
"88-54=34",
"68+46=114",
"114-34=80"
] | Current State: 80:[54, 88, 68, 46], Operations: []
Exploring Operation: 88-54=34, Resulting Numbers: [68, 46, 34]
Generated Node #2: [68, 46, 34] from Operation: 88-54=34
Current State: 80:[68, 46, 34], Operations: ['88-54=34']
Exploring Operation: 68+46=114, Resulting Numbers: [34, 114]
Generated Node #3: [34, 114] from Operation: 68+46=114
Current State: 80:[34, 114], Operations: ['88-54=34', '68+46=114']
Exploring Operation: 114-34=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
17,
48,
20,
27
] | 72 | [
"17+48=65",
"27-20=7",
"65+7=72"
] | Current State: 72:[17, 48, 20, 27], Operations: []
Exploring Operation: 17+48=65, Resulting Numbers: [20, 27, 65]
Generated Node #2: [20, 27, 65] from Operation: 17+48=65
Current State: 72:[20, 27, 65], Operations: ['17+48=65']
Exploring Operation: 27-20=7, Resulting Numbers: [65, 7]
Generated Node #3: [65, 7] from Operation: 27-20=7
Current State: 72:[65, 7], Operations: ['17+48=65', '27-20=7']
Exploring Operation: 65+7=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
2,
37,
43,
18
] | 87 | [
"43-18=25",
"2*25=50",
"37+50=87"
] | Current State: 87:[2, 37, 43, 18], Operations: []
Exploring Operation: 43-18=25, Resulting Numbers: [2, 37, 25]
Generated Node #2: [2, 37, 25] from Operation: 43-18=25
Current State: 87:[2, 37, 25], Operations: ['43-18=25']
Exploring Operation: 2*25=50, Resulting Numbers: [37, 50]
Generated Node #3: [37, 50] from Operation: 2*25=50
Current State: 87:[37, 50], Operations: ['43-18=25', '2*25=50']
Exploring Operation: 37+50=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
19,
11,
84,
43
] | 49 | [
"19-11=8",
"84-43=41",
"8+41=49"
] | Current State: 49:[19, 11, 84, 43], Operations: []
Exploring Operation: 19-11=8, Resulting Numbers: [84, 43, 8]
Generated Node #2: [84, 43, 8] from Operation: 19-11=8
Current State: 49:[84, 43, 8], Operations: ['19-11=8']
Exploring Operation: 84-43=41, Resulting Numbers: [8, 41]
Generated Node #3: [8, 41] from Operation: 84-43=41
Current State: 49:[8, 41], Operations: ['19-11=8', '84-43=41']
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
10,
95,
83,
35
] | 37 | [
"95-10=85",
"83-35=48",
"85-48=37"
] | Current State: 37:[10, 95, 83, 35], Operations: []
Exploring Operation: 95-10=85, Resulting Numbers: [83, 35, 85]
Generated Node #2: [83, 35, 85] from Operation: 95-10=85
Current State: 37:[83, 35, 85], Operations: ['95-10=85']
Exploring Operation: 83-35=48, Resulting Numbers: [85, 48]
Generated Node #3: [85, 48] from Operation: 83-35=48
Current State: 37:[85, 48], Operations: ['95-10=85', '83-35=48']
Exploring Operation: 85-48=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
45,
18,
9,
98
] | 95 | [
"45-18=27",
"27/9=3",
"98-3=95"
] | Current State: 95:[45, 18, 9, 98], Operations: []
Exploring Operation: 45-18=27, Resulting Numbers: [9, 98, 27]
Generated Node #2: [9, 98, 27] from Operation: 45-18=27
Current State: 95:[9, 98, 27], Operations: ['45-18=27']
Exploring Operation: 27/9=3, Resulting Numbers: [98, 3]
Generated Node #3: [98, 3] from Operation: 27/9=3
Current State: 95:[98, 3], Operations: ['45-18=27', '27/9=3']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
69,
6,
45,
96
] | 40 | [
"69-45=24",
"96/6=16",
"24+16=40"
] | Current State: 40:[69, 6, 45, 96], Operations: []
Exploring Operation: 69-45=24, Resulting Numbers: [6, 96, 24]
Generated Node #2: [6, 96, 24] from Operation: 69-45=24
Current State: 40:[6, 96, 24], Operations: ['69-45=24']
Exploring Operation: 96/6=16, Resulting Numbers: [24, 16]
Generated Node #3: [24, 16] from Operation: 96/6=16
Current State: 40:[24, 16], Operations: ['69-45=24', '96/6=16']
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
23,
80,
46,
21
] | 61 | [
"23*80=1840",
"1840/46=40",
"21+40=61"
] | Current State: 61:[23, 80, 46, 21], Operations: []
Exploring Operation: 23*80=1840, Resulting Numbers: [46, 21, 1840]
Generated Node #2: [46, 21, 1840] from Operation: 23*80=1840
Current State: 61:[46, 21, 1840], Operations: ['23*80=1840']
Exploring Operation: 1840/46=40, Resulting Numbers: [21, 40]
Generated Node #3: [21, 40] from Operation: 1840/46=40
Current State: 61:[21, 40], Operations: ['23*80=1840', '1840/46=40']
Exploring Operation: 21+40=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
12,
61,
23,
87
] | 36 | [
"61+23=84",
"87-84=3",
"12*3=36"
] | Current State: 36:[12, 61, 23, 87], Operations: []
Exploring Operation: 61+23=84, Resulting Numbers: [12, 87, 84]
Generated Node #2: [12, 87, 84] from Operation: 61+23=84
Current State: 36:[12, 87, 84], Operations: ['61+23=84']
Exploring Operation: 87-84=3, Resulting Numbers: [12, 3]
Generated Node #3: [12, 3] from Operation: 87-84=3
Current State: 36:[12, 3], Operations: ['61+23=84', '87-84=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
32,
64,
65,
60
] | 57 | [
"64-60=4",
"32/4=8",
"65-8=57"
] | Current State: 57:[32, 64, 65, 60], Operations: []
Exploring Operation: 64-60=4, Resulting Numbers: [32, 65, 4]
Generated Node #2: [32, 65, 4] from Operation: 64-60=4
Current State: 57:[32, 65, 4], Operations: ['64-60=4']
Exploring Operation: 32/4=8, Resulting Numbers: [65, 8]
Generated Node #3: [65, 8] from Operation: 32/4=8
Current State: 57:[65, 8], Operations: ['64-60=4', '32/4=8']
Exploring Operation: 65-8=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
7,
84,
22,
34
] | 44 | [
"84/7=12",
"22+34=56",
"56-12=44"
] | Current State: 44:[7, 84, 22, 34], Operations: []
Exploring Operation: 84/7=12, Resulting Numbers: [22, 34, 12]
Generated Node #2: [22, 34, 12] from Operation: 84/7=12
Current State: 44:[22, 34, 12], Operations: ['84/7=12']
Exploring Operation: 22+34=56, Resulting Numbers: [12, 56]
Generated Node #3: [12, 56] from Operation: 22+34=56
Current State: 44:[12, 56], Operations: ['84/7=12', '22+34=56']
Exploring Operation: 56-12=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
66,
23,
46,
27
] | 95 | [
"66+27=93",
"46/23=2",
"93+2=95"
] | Current State: 95:[66, 23, 46, 27], Operations: []
Exploring Operation: 66+27=93, Resulting Numbers: [23, 46, 93]
Generated Node #2: [23, 46, 93] from Operation: 66+27=93
Current State: 95:[23, 46, 93], Operations: ['66+27=93']
Exploring Operation: 46/23=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 46/23=2
Current State: 95:[93, 2], Operations: ['66+27=93', '46/23=2']
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
16,
34,
65,
30
] | 85 | [
"16+34=50",
"65-30=35",
"50+35=85"
] | Current State: 85:[16, 34, 65, 30], Operations: []
Exploring Operation: 16+34=50, Resulting Numbers: [65, 30, 50]
Generated Node #2: [65, 30, 50] from Operation: 16+34=50
Current State: 85:[65, 30, 50], Operations: ['16+34=50']
Exploring Operation: 65-30=35, Resulting Numbers: [50, 35]
Generated Node #3: [50, 35] from Operation: 65-30=35
Current State: 85:[50, 35], Operations: ['16+34=50', '65-30=35']
Exploring Operation: 50+35=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
81,
14,
9,
3
] | 40 | [
"81-14=67",
"9*3=27",
"67-27=40"
] | Current State: 40:[81, 14, 9, 3], Operations: []
Exploring Operation: 81-14=67, Resulting Numbers: [9, 3, 67]
Generated Node #2: [9, 3, 67] from Operation: 81-14=67
Current State: 40:[9, 3, 67], Operations: ['81-14=67']
Exploring Operation: 9*3=27, Resulting Numbers: [67, 27]
Generated Node #3: [67, 27] from Operation: 9*3=27
Current State: 40:[67, 27], Operations: ['81-14=67', '9*3=27']
Exploring Operation: 67-27=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
32,
93,
74,
16
] | 35 | [
"32+93=125",
"74+16=90",
"125-90=35"
] | Current State: 35:[32, 93, 74, 16], Operations: []
Exploring Operation: 32+93=125, Resulting Numbers: [74, 16, 125]
Generated Node #2: [74, 16, 125] from Operation: 32+93=125
Current State: 35:[74, 16, 125], Operations: ['32+93=125']
Exploring Operation: 74+16=90, Resulting Numbers: [125, 90]
Generated Node #3: [125, 90] from Operation: 74+16=90
Current State: 35:[125, 90], Operations: ['32+93=125', '74+16=90']
Exploring Operation: 125-90=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
29,
37,
56,
23
] | 99 | [
"29+37=66",
"56-23=33",
"66+33=99"
] | Current State: 99:[29, 37, 56, 23], Operations: []
Exploring Operation: 29+37=66, Resulting Numbers: [56, 23, 66]
Generated Node #2: [56, 23, 66] from Operation: 29+37=66
Current State: 99:[56, 23, 66], Operations: ['29+37=66']
Exploring Operation: 56-23=33, Resulting Numbers: [66, 33]
Generated Node #3: [66, 33] from Operation: 56-23=33
Current State: 99:[66, 33], Operations: ['29+37=66', '56-23=33']
Exploring Operation: 66+33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
79,
10,
20,
49
] | 28 | [
"79-49=30",
"20/10=2",
"30-2=28"
] | Current State: 28:[79, 10, 20, 49], Operations: []
Exploring Operation: 79-49=30, Resulting Numbers: [10, 20, 30]
Generated Node #2: [10, 20, 30] from Operation: 79-49=30
Current State: 28:[10, 20, 30], Operations: ['79-49=30']
Exploring Operation: 20/10=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 20/10=2
Current State: 28:[30, 2], Operations: ['79-49=30', '20/10=2']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
34,
9,
10,
59
] | 92 | [
"34+9=43",
"59-10=49",
"43+49=92"
] | Current State: 92:[34, 9, 10, 59], Operations: []
Exploring Operation: 34+9=43, Resulting Numbers: [10, 59, 43]
Generated Node #2: [10, 59, 43] from Operation: 34+9=43
Current State: 92:[10, 59, 43], Operations: ['34+9=43']
Exploring Operation: 59-10=49, Resulting Numbers: [43, 49]
Generated Node #3: [43, 49] from Operation: 59-10=49
Current State: 92:[43, 49], Operations: ['34+9=43', '59-10=49']
Exploring Operation: 43+49=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
19,
15,
42,
30
] | 33 | [
"15+42=57",
"57/19=3",
"30+3=33"
] | Current State: 33:[19, 15, 42, 30], Operations: []
Exploring Operation: 15+42=57, Resulting Numbers: [19, 30, 57]
Generated Node #2: [19, 30, 57] from Operation: 15+42=57
Current State: 33:[19, 30, 57], Operations: ['15+42=57']
Exploring Operation: 57/19=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 57/19=3
Current State: 33:[30, 3], Operations: ['15+42=57', '57/19=3']
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
60,
8,
46,
4
] | 12 | [
"60-46=14",
"8/4=2",
"14-2=12"
] | Current State: 12:[60, 8, 46, 4], Operations: []
Exploring Operation: 60-46=14, Resulting Numbers: [8, 4, 14]
Generated Node #2: [8, 4, 14] from Operation: 60-46=14
Current State: 12:[8, 4, 14], Operations: ['60-46=14']
Exploring Operation: 8/4=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 8/4=2
Current State: 12:[14, 2], Operations: ['60-46=14', '8/4=2']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
57,
74,
77,
76
] | 17 | [
"74-57=17",
"77-76=1",
"17*1=17"
] | Current State: 17:[57, 74, 77, 76], Operations: []
Exploring Operation: 74-57=17, Resulting Numbers: [77, 76, 17]
Generated Node #2: [77, 76, 17] from Operation: 74-57=17
Current State: 17:[77, 76, 17], Operations: ['74-57=17']
Exploring Operation: 77-76=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 77-76=1
Current State: 17:[17, 1], Operations: ['74-57=17', '77-76=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
9,
94,
78,
80
] | 48 | [
"94-80=14",
"9*14=126",
"126-78=48"
] | Current State: 48:[9, 94, 78, 80], Operations: []
Exploring Operation: 94-80=14, Resulting Numbers: [9, 78, 14]
Generated Node #2: [9, 78, 14] from Operation: 94-80=14
Current State: 48:[9, 78, 14], Operations: ['94-80=14']
Exploring Operation: 9*14=126, Resulting Numbers: [78, 126]
Generated Node #3: [78, 126] from Operation: 9*14=126
Current State: 48:[78, 126], Operations: ['94-80=14', '9*14=126']
Exploring Operation: 126-78=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
34,
61,
67,
37
] | 57 | [
"61-34=27",
"67-37=30",
"27+30=57"
] | Current State: 57:[34, 61, 67, 37], Operations: []
Exploring Operation: 61-34=27, Resulting Numbers: [67, 37, 27]
Generated Node #2: [67, 37, 27] from Operation: 61-34=27
Current State: 57:[67, 37, 27], Operations: ['61-34=27']
Exploring Operation: 67-37=30, Resulting Numbers: [27, 30]
Generated Node #3: [27, 30] from Operation: 67-37=30
Current State: 57:[27, 30], Operations: ['61-34=27', '67-37=30']
Exploring Operation: 27+30=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
72,
20,
55,
58
] | 12 | [
"58-55=3",
"20*3=60",
"72-60=12"
] | Current State: 12:[72, 20, 55, 58], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [72, 20, 3]
Generated Node #2: [72, 20, 3] from Operation: 58-55=3
Current State: 12:[72, 20, 3], Operations: ['58-55=3']
Exploring Operation: 20*3=60, Resulting Numbers: [72, 60]
Generated Node #3: [72, 60] from Operation: 20*3=60
Current State: 12:[72, 60], Operations: ['58-55=3', '20*3=60']
Exploring Operation: 72-60=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
51,
99,
58,
17
] | 44 | [
"51/17=3",
"99-58=41",
"3+41=44"
] | Current State: 44:[51, 99, 58, 17], Operations: []
Exploring Operation: 51/17=3, Resulting Numbers: [99, 58, 3]
Generated Node #2: [99, 58, 3] from Operation: 51/17=3
Current State: 44:[99, 58, 3], Operations: ['51/17=3']
Exploring Operation: 99-58=41, Resulting Numbers: [3, 41]
Generated Node #3: [3, 41] from Operation: 99-58=41
Current State: 44:[3, 41], Operations: ['51/17=3', '99-58=41']
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
2,
98,
63,
69
] | 86 | [
"69-63=6",
"2*6=12",
"98-12=86"
] | Current State: 86:[2, 98, 63, 69], Operations: []
Exploring Operation: 69-63=6, Resulting Numbers: [2, 98, 6]
Generated Node #2: [2, 98, 6] from Operation: 69-63=6
Current State: 86:[2, 98, 6], Operations: ['69-63=6']
Exploring Operation: 2*6=12, Resulting Numbers: [98, 12]
Generated Node #3: [98, 12] from Operation: 2*6=12
Current State: 86:[98, 12], Operations: ['69-63=6', '2*6=12']
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
38,
37,
60,
40
] | 66 | [
"60-38=22",
"40-37=3",
"22*3=66"
] | Current State: 66:[38, 37, 60, 40], Operations: []
Exploring Operation: 60-38=22, Resulting Numbers: [37, 40, 22]
Generated Node #2: [37, 40, 22] from Operation: 60-38=22
Current State: 66:[37, 40, 22], Operations: ['60-38=22']
Exploring Operation: 40-37=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 40-37=3
Current State: 66:[22, 3], Operations: ['60-38=22', '40-37=3']
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
63,
63,
15,
47
] | 47 | [
"63-63=0",
"15*0=0",
"47+0=47"
] | Current State: 47:[63, 63, 15, 47], Operations: []
Exploring Operation: 63-63=0, Resulting Numbers: [15, 47, 0]
Generated Node #2: [15, 47, 0] from Operation: 63-63=0
Current State: 47:[15, 47, 0], Operations: ['63-63=0']
Exploring Operation: 15*0=0, Resulting Numbers: [47, 0]
Generated Node #3: [47, 0] from Operation: 15*0=0
Current State: 47:[47, 0], Operations: ['63-63=0', '15*0=0']
Exploring Operation: 47+0=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
62,
93,
32,
3
] | 66 | [
"93-62=31",
"32+3=35",
"31+35=66"
] | Current State: 66:[62, 93, 32, 3], Operations: []
Exploring Operation: 93-62=31, Resulting Numbers: [32, 3, 31]
Generated Node #2: [32, 3, 31] from Operation: 93-62=31
Current State: 66:[32, 3, 31], Operations: ['93-62=31']
Exploring Operation: 32+3=35, Resulting Numbers: [31, 35]
Generated Node #3: [31, 35] from Operation: 32+3=35
Current State: 66:[31, 35], Operations: ['93-62=31', '32+3=35']
Exploring Operation: 31+35=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
77,
59,
66,
70
] | 49 | [
"77-70=7",
"66-59=7",
"7*7=49"
] | Current State: 49:[77, 59, 66, 70], Operations: []
Exploring Operation: 77-70=7, Resulting Numbers: [59, 66, 7]
Generated Node #2: [59, 66, 7] from Operation: 77-70=7
Current State: 49:[59, 66, 7], Operations: ['77-70=7']
Exploring Operation: 66-59=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 66-59=7
Current State: 49:[7, 7], Operations: ['77-70=7', '66-59=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
2,
7,
6,
64
] | 75 | [
"7-2=5",
"6+64=70",
"5+70=75"
] | Current State: 75:[2, 7, 6, 64], Operations: []
Exploring Operation: 7-2=5, Resulting Numbers: [6, 64, 5]
Generated Node #2: [6, 64, 5] from Operation: 7-2=5
Current State: 75:[6, 64, 5], Operations: ['7-2=5']
Exploring Operation: 6+64=70, Resulting Numbers: [5, 70]
Generated Node #3: [5, 70] from Operation: 6+64=70
Current State: 75:[5, 70], Operations: ['7-2=5', '6+64=70']
Exploring Operation: 5+70=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
92,
67,
2,
93
] | 27 | [
"92+67=159",
"2*93=186",
"186-159=27"
] | Current State: 27:[92, 67, 2, 93], Operations: []
Exploring Operation: 92+67=159, Resulting Numbers: [2, 93, 159]
Generated Node #2: [2, 93, 159] from Operation: 92+67=159
Current State: 27:[2, 93, 159], Operations: ['92+67=159']
Exploring Operation: 2*93=186, Resulting Numbers: [159, 186]
Generated Node #3: [159, 186] from Operation: 2*93=186
Current State: 27:[159, 186], Operations: ['92+67=159', '2*93=186']
Exploring Operation: 186-159=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
35,
74,
68,
45
] | 16 | [
"74-35=39",
"68-45=23",
"39-23=16"
] | Current State: 16:[35, 74, 68, 45], Operations: []
Exploring Operation: 74-35=39, Resulting Numbers: [68, 45, 39]
Generated Node #2: [68, 45, 39] from Operation: 74-35=39
Current State: 16:[68, 45, 39], Operations: ['74-35=39']
Exploring Operation: 68-45=23, Resulting Numbers: [39, 23]
Generated Node #3: [39, 23] from Operation: 68-45=23
Current State: 16:[39, 23], Operations: ['74-35=39', '68-45=23']
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
5,
4,
55,
25
] | 60 | [
"5*4=20",
"55+25=80",
"80-20=60"
] | Current State: 60:[5, 4, 55, 25], Operations: []
Exploring Operation: 5*4=20, Resulting Numbers: [55, 25, 20]
Generated Node #2: [55, 25, 20] from Operation: 5*4=20
Current State: 60:[55, 25, 20], Operations: ['5*4=20']
Exploring Operation: 55+25=80, Resulting Numbers: [20, 80]
Generated Node #3: [20, 80] from Operation: 55+25=80
Current State: 60:[20, 80], Operations: ['5*4=20', '55+25=80']
Exploring Operation: 80-20=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
91,
65,
41,
4
] | 80 | [
"91+65=156",
"156/4=39",
"41+39=80"
] | Current State: 80:[91, 65, 41, 4], Operations: []
Exploring Operation: 91+65=156, Resulting Numbers: [41, 4, 156]
Generated Node #2: [41, 4, 156] from Operation: 91+65=156
Current State: 80:[41, 4, 156], Operations: ['91+65=156']
Exploring Operation: 156/4=39, Resulting Numbers: [41, 39]
Generated Node #3: [41, 39] from Operation: 156/4=39
Current State: 80:[41, 39], Operations: ['91+65=156', '156/4=39']
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
54,
37,
45,
34
] | 81 | [
"37-34=3",
"45*3=135",
"135-54=81"
] | Current State: 81:[54, 37, 45, 34], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [54, 45, 3]
Generated Node #2: [54, 45, 3] from Operation: 37-34=3
Current State: 81:[54, 45, 3], Operations: ['37-34=3']
Exploring Operation: 45*3=135, Resulting Numbers: [54, 135]
Generated Node #3: [54, 135] from Operation: 45*3=135
Current State: 81:[54, 135], Operations: ['37-34=3', '45*3=135']
Exploring Operation: 135-54=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
71,
88,
56,
96
] | 23 | [
"88-71=17",
"96-56=40",
"40-17=23"
] | Current State: 23:[71, 88, 56, 96], Operations: []
Exploring Operation: 88-71=17, Resulting Numbers: [56, 96, 17]
Generated Node #2: [56, 96, 17] from Operation: 88-71=17
Current State: 23:[56, 96, 17], Operations: ['88-71=17']
Exploring Operation: 96-56=40, Resulting Numbers: [17, 40]
Generated Node #3: [17, 40] from Operation: 96-56=40
Current State: 23:[17, 40], Operations: ['88-71=17', '96-56=40']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
26,
27,
21,
65
] | 44 | [
"27-26=1",
"65-21=44",
"1*44=44"
] | Current State: 44:[26, 27, 21, 65], Operations: []
Exploring Operation: 27-26=1, Resulting Numbers: [21, 65, 1]
Generated Node #2: [21, 65, 1] from Operation: 27-26=1
Current State: 44:[21, 65, 1], Operations: ['27-26=1']
Exploring Operation: 65-21=44, Resulting Numbers: [1, 44]
Generated Node #3: [1, 44] from Operation: 65-21=44
Current State: 44:[1, 44], Operations: ['27-26=1', '65-21=44']
Exploring Operation: 1*44=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
15,
18,
11,
96
] | 21 | [
"18-15=3",
"96/3=32",
"32-11=21"
] | Current State: 21:[15, 18, 11, 96], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [11, 96, 3]
Generated Node #2: [11, 96, 3] from Operation: 18-15=3
Current State: 21:[11, 96, 3], Operations: ['18-15=3']
Exploring Operation: 96/3=32, Resulting Numbers: [11, 32]
Generated Node #3: [11, 32] from Operation: 96/3=32
Current State: 21:[11, 32], Operations: ['18-15=3', '96/3=32']
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
92,
70,
20,
96
] | 46 | [
"92+70=162",
"20+96=116",
"162-116=46"
] | Current State: 46:[92, 70, 20, 96], Operations: []
Exploring Operation: 92+70=162, Resulting Numbers: [20, 96, 162]
Generated Node #2: [20, 96, 162] from Operation: 92+70=162
Current State: 46:[20, 96, 162], Operations: ['92+70=162']
Exploring Operation: 20+96=116, Resulting Numbers: [162, 116]
Generated Node #3: [162, 116] from Operation: 20+96=116
Current State: 46:[162, 116], Operations: ['92+70=162', '20+96=116']
Exploring Operation: 162-116=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
15,
43,
98,
29
] | 99 | [
"43-15=28",
"98+29=127",
"127-28=99"
] | Current State: 99:[15, 43, 98, 29], Operations: []
Exploring Operation: 43-15=28, Resulting Numbers: [98, 29, 28]
Generated Node #2: [98, 29, 28] from Operation: 43-15=28
Current State: 99:[98, 29, 28], Operations: ['43-15=28']
Exploring Operation: 98+29=127, Resulting Numbers: [28, 127]
Generated Node #3: [28, 127] from Operation: 98+29=127
Current State: 99:[28, 127], Operations: ['43-15=28', '98+29=127']
Exploring Operation: 127-28=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
51,
39,
68,
58
] | 80 | [
"51+39=90",
"68-58=10",
"90-10=80"
] | Current State: 80:[51, 39, 68, 58], Operations: []
Exploring Operation: 51+39=90, Resulting Numbers: [68, 58, 90]
Generated Node #2: [68, 58, 90] from Operation: 51+39=90
Current State: 80:[68, 58, 90], Operations: ['51+39=90']
Exploring Operation: 68-58=10, Resulting Numbers: [90, 10]
Generated Node #3: [90, 10] from Operation: 68-58=10
Current State: 80:[90, 10], Operations: ['51+39=90', '68-58=10']
Exploring Operation: 90-10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
41,
3,
36,
68
] | 19 | [
"41*3=123",
"36+68=104",
"123-104=19"
] | Current State: 19:[41, 3, 36, 68], Operations: []
Exploring Operation: 41*3=123, Resulting Numbers: [36, 68, 123]
Generated Node #2: [36, 68, 123] from Operation: 41*3=123
Current State: 19:[36, 68, 123], Operations: ['41*3=123']
Exploring Operation: 36+68=104, Resulting Numbers: [123, 104]
Generated Node #3: [123, 104] from Operation: 36+68=104
Current State: 19:[123, 104], Operations: ['41*3=123', '36+68=104']
Exploring Operation: 123-104=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
64,
33,
40,
6
] | 64 | [
"40-33=7",
"7-6=1",
"64*1=64"
] | Current State: 64:[64, 33, 40, 6], Operations: []
Exploring Operation: 40-33=7, Resulting Numbers: [64, 6, 7]
Generated Node #2: [64, 6, 7] from Operation: 40-33=7
Current State: 64:[64, 6, 7], Operations: ['40-33=7']
Exploring Operation: 7-6=1, Resulting Numbers: [64, 1]
Generated Node #3: [64, 1] from Operation: 7-6=1
Current State: 64:[64, 1], Operations: ['40-33=7', '7-6=1']
Exploring Operation: 64*1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
30,
13,
51,
26
] | 94 | [
"30-13=17",
"51+26=77",
"17+77=94"
] | Current State: 94:[30, 13, 51, 26], Operations: []
Exploring Operation: 30-13=17, Resulting Numbers: [51, 26, 17]
Generated Node #2: [51, 26, 17] from Operation: 30-13=17
Current State: 94:[51, 26, 17], Operations: ['30-13=17']
Exploring Operation: 51+26=77, Resulting Numbers: [17, 77]
Generated Node #3: [17, 77] from Operation: 51+26=77
Current State: 94:[17, 77], Operations: ['30-13=17', '51+26=77']
Exploring Operation: 17+77=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
13,
43,
37,
9
] | 41 | [
"43-37=6",
"9*6=54",
"54-13=41"
] | Current State: 41:[13, 43, 37, 9], Operations: []
Exploring Operation: 43-37=6, Resulting Numbers: [13, 9, 6]
Generated Node #2: [13, 9, 6] from Operation: 43-37=6
Current State: 41:[13, 9, 6], Operations: ['43-37=6']
Exploring Operation: 9*6=54, Resulting Numbers: [13, 54]
Generated Node #3: [13, 54] from Operation: 9*6=54
Current State: 41:[13, 54], Operations: ['43-37=6', '9*6=54']
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
22,
42,
28,
39
] | 31 | [
"42-22=20",
"39-28=11",
"20+11=31"
] | Current State: 31:[22, 42, 28, 39], Operations: []
Exploring Operation: 42-22=20, Resulting Numbers: [28, 39, 20]
Generated Node #2: [28, 39, 20] from Operation: 42-22=20
Current State: 31:[28, 39, 20], Operations: ['42-22=20']
Exploring Operation: 39-28=11, Resulting Numbers: [20, 11]
Generated Node #3: [20, 11] from Operation: 39-28=11
Current State: 31:[20, 11], Operations: ['42-22=20', '39-28=11']
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
49,
55,
24,
67
] | 98 | [
"49*24=1176",
"67-55=12",
"1176/12=98"
] | Current State: 98:[49, 55, 24, 67], Operations: []
Exploring Operation: 49*24=1176, Resulting Numbers: [55, 67, 1176]
Generated Node #2: [55, 67, 1176] from Operation: 49*24=1176
Current State: 98:[55, 67, 1176], Operations: ['49*24=1176']
Exploring Operation: 67-55=12, Resulting Numbers: [1176, 12]
Generated Node #3: [1176, 12] from Operation: 67-55=12
Current State: 98:[1176, 12], Operations: ['49*24=1176', '67-55=12']
Exploring Operation: 1176/12=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
3,
38,
4,
21
] | 29 | [
"3*4=12",
"38-21=17",
"12+17=29"
] | Current State: 29:[3, 38, 4, 21], Operations: []
Exploring Operation: 3*4=12, Resulting Numbers: [38, 21, 12]
Generated Node #2: [38, 21, 12] from Operation: 3*4=12
Current State: 29:[38, 21, 12], Operations: ['3*4=12']
Exploring Operation: 38-21=17, Resulting Numbers: [12, 17]
Generated Node #3: [12, 17] from Operation: 38-21=17
Current State: 29:[12, 17], Operations: ['3*4=12', '38-21=17']
Exploring Operation: 12+17=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
2,
94,
13,
14
] | 65 | [
"94-2=92",
"13+14=27",
"92-27=65"
] | Current State: 65:[2, 94, 13, 14], Operations: []
Exploring Operation: 94-2=92, Resulting Numbers: [13, 14, 92]
Generated Node #2: [13, 14, 92] from Operation: 94-2=92
Current State: 65:[13, 14, 92], Operations: ['94-2=92']
Exploring Operation: 13+14=27, Resulting Numbers: [92, 27]
Generated Node #3: [92, 27] from Operation: 13+14=27
Current State: 65:[92, 27], Operations: ['94-2=92', '13+14=27']
Exploring Operation: 92-27=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
2,
32,
69,
68
] | 29 | [
"32-2=30",
"69-68=1",
"30-1=29"
] | Current State: 29:[2, 32, 69, 68], Operations: []
Exploring Operation: 32-2=30, Resulting Numbers: [69, 68, 30]
Generated Node #2: [69, 68, 30] from Operation: 32-2=30
Current State: 29:[69, 68, 30], Operations: ['32-2=30']
Exploring Operation: 69-68=1, Resulting Numbers: [30, 1]
Generated Node #3: [30, 1] from Operation: 69-68=1
Current State: 29:[30, 1], Operations: ['32-2=30', '69-68=1']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
5,
6,
17,
81
] | 97 | [
"6-5=1",
"17+81=98",
"98-1=97"
] | Current State: 97:[5, 6, 17, 81], Operations: []
Exploring Operation: 6-5=1, Resulting Numbers: [17, 81, 1]
Generated Node #2: [17, 81, 1] from Operation: 6-5=1
Current State: 97:[17, 81, 1], Operations: ['6-5=1']
Exploring Operation: 17+81=98, Resulting Numbers: [1, 98]
Generated Node #3: [1, 98] from Operation: 17+81=98
Current State: 97:[1, 98], Operations: ['6-5=1', '17+81=98']
Exploring Operation: 98-1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
3,
33,
46,
79
] | 22 | [
"33/3=11",
"79-46=33",
"33-11=22"
] | Current State: 22:[3, 33, 46, 79], Operations: []
Exploring Operation: 33/3=11, Resulting Numbers: [46, 79, 11]
Generated Node #2: [46, 79, 11] from Operation: 33/3=11
Current State: 22:[46, 79, 11], Operations: ['33/3=11']
Exploring Operation: 79-46=33, Resulting Numbers: [11, 33]
Generated Node #3: [11, 33] from Operation: 79-46=33
Current State: 22:[11, 33], Operations: ['33/3=11', '79-46=33']
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
78,
18,
72,
33
] | 71 | [
"78*33=2574",
"2574/18=143",
"143-72=71"
] | Current State: 71:[78, 18, 72, 33], Operations: []
Exploring Operation: 78*33=2574, Resulting Numbers: [18, 72, 2574]
Generated Node #2: [18, 72, 2574] from Operation: 78*33=2574
Current State: 71:[18, 72, 2574], Operations: ['78*33=2574']
Exploring Operation: 2574/18=143, Resulting Numbers: [72, 143]
Generated Node #3: [72, 143] from Operation: 2574/18=143
Current State: 71:[72, 143], Operations: ['78*33=2574', '2574/18=143']
Exploring Operation: 143-72=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
92,
80,
56,
8
] | 19 | [
"92-80=12",
"56/8=7",
"12+7=19"
] | Current State: 19:[92, 80, 56, 8], Operations: []
Exploring Operation: 92-80=12, Resulting Numbers: [56, 8, 12]
Generated Node #2: [56, 8, 12] from Operation: 92-80=12
Current State: 19:[56, 8, 12], Operations: ['92-80=12']
Exploring Operation: 56/8=7, Resulting Numbers: [12, 7]
Generated Node #3: [12, 7] from Operation: 56/8=7
Current State: 19:[12, 7], Operations: ['92-80=12', '56/8=7']
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
42,
17,
25,
50
] | 84 | [
"42+17=59",
"50-25=25",
"59+25=84"
] | Current State: 84:[42, 17, 25, 50], Operations: []
Exploring Operation: 42+17=59, Resulting Numbers: [25, 50, 59]
Generated Node #2: [25, 50, 59] from Operation: 42+17=59
Current State: 84:[25, 50, 59], Operations: ['42+17=59']
Exploring Operation: 50-25=25, Resulting Numbers: [59, 25]
Generated Node #3: [59, 25] from Operation: 50-25=25
Current State: 84:[59, 25], Operations: ['42+17=59', '50-25=25']
Exploring Operation: 59+25=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
8,
38,
40,
6
] | 58 | [
"8-6=2",
"40/2=20",
"38+20=58"
] | Current State: 58:[8, 38, 40, 6], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [38, 40, 2]
Generated Node #2: [38, 40, 2] from Operation: 8-6=2
Current State: 58:[38, 40, 2], Operations: ['8-6=2']
Exploring Operation: 40/2=20, Resulting Numbers: [38, 20]
Generated Node #3: [38, 20] from Operation: 40/2=20
Current State: 58:[38, 20], Operations: ['8-6=2', '40/2=20']
Exploring Operation: 38+20=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
6,
16,
12,
67
] | 91 | [
"16-12=4",
"6*4=24",
"67+24=91"
] | Current State: 91:[6, 16, 12, 67], Operations: []
Exploring Operation: 16-12=4, Resulting Numbers: [6, 67, 4]
Generated Node #2: [6, 67, 4] from Operation: 16-12=4
Current State: 91:[6, 67, 4], Operations: ['16-12=4']
Exploring Operation: 6*4=24, Resulting Numbers: [67, 24]
Generated Node #3: [67, 24] from Operation: 6*4=24
Current State: 91:[67, 24], Operations: ['16-12=4', '6*4=24']
Exploring Operation: 67+24=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
48,
24,
17,
18
] | 23 | [
"48-24=24",
"18-17=1",
"24-1=23"
] | Current State: 23:[48, 24, 17, 18], Operations: []
Exploring Operation: 48-24=24, Resulting Numbers: [17, 18, 24]
Generated Node #2: [17, 18, 24] from Operation: 48-24=24
Current State: 23:[17, 18, 24], Operations: ['48-24=24']
Exploring Operation: 18-17=1, Resulting Numbers: [24, 1]
Generated Node #3: [24, 1] from Operation: 18-17=1
Current State: 23:[24, 1], Operations: ['48-24=24', '18-17=1']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
97,
7,
92,
70
] | 98 | [
"97-92=5",
"7*70=490",
"490/5=98"
] | Current State: 98:[97, 7, 92, 70], Operations: []
Exploring Operation: 97-92=5, Resulting Numbers: [7, 70, 5]
Generated Node #2: [7, 70, 5] from Operation: 97-92=5
Current State: 98:[7, 70, 5], Operations: ['97-92=5']
Exploring Operation: 7*70=490, Resulting Numbers: [5, 490]
Generated Node #3: [5, 490] from Operation: 7*70=490
Current State: 98:[5, 490], Operations: ['97-92=5', '7*70=490']
Exploring Operation: 490/5=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
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