nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
10,
9,
61,
36
] | 75 | [
"10+61=71",
"36/9=4",
"71+4=75"
] | Current State: 75:[10, 9, 61, 36], Operations: []
Exploring Operation: 10+61=71, Resulting Numbers: [9, 36, 71]
Generated Node #2: [9, 36, 71] from Operation: 10+61=71
Current State: 75:[9, 36, 71], Operations: ['10+61=71']
Exploring Operation: 36/9=4, Resulting Numbers: [71, 4]
Generated Node #3: [71, 4] from Operation: 36/9=4
Current State: 75:[71, 4], Operations: ['10+61=71', '36/9=4']
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
16,
98,
4,
45
] | 49 | [
"16/4=4",
"98-45=53",
"53-4=49"
] | Current State: 49:[16, 98, 4, 45], Operations: []
Exploring Operation: 16/4=4, Resulting Numbers: [98, 45, 4]
Generated Node #2: [98, 45, 4] from Operation: 16/4=4
Current State: 49:[98, 45, 4], Operations: ['16/4=4']
Exploring Operation: 98-45=53, Resulting Numbers: [4, 53]
Generated Node #3: [4, 53] from Operation: 98-45=53
Current State: 49:[4, 53], Operations: ['16/4=4', '98-45=53']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
90,
70,
64,
66
] | 55 | [
"66-64=2",
"70/2=35",
"90-35=55"
] | Current State: 55:[90, 70, 64, 66], Operations: []
Exploring Operation: 66-64=2, Resulting Numbers: [90, 70, 2]
Generated Node #2: [90, 70, 2] from Operation: 66-64=2
Current State: 55:[90, 70, 2], Operations: ['66-64=2']
Exploring Operation: 70/2=35, Resulting Numbers: [90, 35]
Generated Node #3: [90, 35] from Operation: 70/2=35
Current State: 55:[90, 35], Operations: ['66-64=2', '70/2=35']
Exploring Operation: 90-35=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
11,
69,
74,
90
] | 74 | [
"69-11=58",
"90-74=16",
"58+16=74"
] | Current State: 74:[11, 69, 74, 90], Operations: []
Exploring Operation: 69-11=58, Resulting Numbers: [74, 90, 58]
Generated Node #2: [74, 90, 58] from Operation: 69-11=58
Current State: 74:[74, 90, 58], Operations: ['69-11=58']
Exploring Operation: 90-74=16, Resulting Numbers: [58, 16]
Generated Node #3: [58, 16] from Operation: 90-74=16
Current State: 74:[58, 16], Operations: ['69-11=58', '90-74=16']
Exploring Operation: 58+16=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
60,
12,
41,
92
] | 46 | [
"60/12=5",
"92-41=51",
"51-5=46"
] | Current State: 46:[60, 12, 41, 92], Operations: []
Exploring Operation: 60/12=5, Resulting Numbers: [41, 92, 5]
Generated Node #2: [41, 92, 5] from Operation: 60/12=5
Current State: 46:[41, 92, 5], Operations: ['60/12=5']
Exploring Operation: 92-41=51, Resulting Numbers: [5, 51]
Generated Node #3: [5, 51] from Operation: 92-41=51
Current State: 46:[5, 51], Operations: ['60/12=5', '92-41=51']
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
26,
58,
71,
42
] | 81 | [
"58-26=32",
"71+42=113",
"113-32=81"
] | Current State: 81:[26, 58, 71, 42], Operations: []
Exploring Operation: 58-26=32, Resulting Numbers: [71, 42, 32]
Generated Node #2: [71, 42, 32] from Operation: 58-26=32
Current State: 81:[71, 42, 32], Operations: ['58-26=32']
Exploring Operation: 71+42=113, Resulting Numbers: [32, 113]
Generated Node #3: [32, 113] from Operation: 71+42=113
Current State: 81:[32, 113], Operations: ['58-26=32', '71+42=113']
Exploring Operation: 113-32=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
90,
4,
2,
70
] | 92 | [
"90-2=88",
"88/4=22",
"70+22=92"
] | Current State: 92:[90, 4, 2, 70], Operations: []
Exploring Operation: 90-2=88, Resulting Numbers: [4, 70, 88]
Generated Node #2: [4, 70, 88] from Operation: 90-2=88
Current State: 92:[4, 70, 88], Operations: ['90-2=88']
Exploring Operation: 88/4=22, Resulting Numbers: [70, 22]
Generated Node #3: [70, 22] from Operation: 88/4=22
Current State: 92:[70, 22], Operations: ['90-2=88', '88/4=22']
Exploring Operation: 70+22=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
20,
85,
72,
76
] | 12 | [
"85-76=9",
"72/9=8",
"20-8=12"
] | Current State: 12:[20, 85, 72, 76], Operations: []
Exploring Operation: 85-76=9, Resulting Numbers: [20, 72, 9]
Generated Node #2: [20, 72, 9] from Operation: 85-76=9
Current State: 12:[20, 72, 9], Operations: ['85-76=9']
Exploring Operation: 72/9=8, Resulting Numbers: [20, 8]
Generated Node #3: [20, 8] from Operation: 72/9=8
Current State: 12:[20, 8], Operations: ['85-76=9', '72/9=8']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
2,
70,
86,
26
] | 20 | [
"86-70=16",
"26-16=10",
"2*10=20"
] | Current State: 20:[2, 70, 86, 26], Operations: []
Exploring Operation: 86-70=16, Resulting Numbers: [2, 26, 16]
Generated Node #2: [2, 26, 16] from Operation: 86-70=16
Current State: 20:[2, 26, 16], Operations: ['86-70=16']
Exploring Operation: 26-16=10, Resulting Numbers: [2, 10]
Generated Node #3: [2, 10] from Operation: 26-16=10
Current State: 20:[2, 10], Operations: ['86-70=16', '26-16=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
61,
5,
44,
18
] | 40 | [
"61+5=66",
"44-18=26",
"66-26=40"
] | Current State: 40:[61, 5, 44, 18], Operations: []
Exploring Operation: 61+5=66, Resulting Numbers: [44, 18, 66]
Generated Node #2: [44, 18, 66] from Operation: 61+5=66
Current State: 40:[44, 18, 66], Operations: ['61+5=66']
Exploring Operation: 44-18=26, Resulting Numbers: [66, 26]
Generated Node #3: [66, 26] from Operation: 44-18=26
Current State: 40:[66, 26], Operations: ['61+5=66', '44-18=26']
Exploring Operation: 66-26=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
74,
6,
41,
23
] | 60 | [
"74-41=33",
"33-23=10",
"6*10=60"
] | Current State: 60:[74, 6, 41, 23], Operations: []
Exploring Operation: 74-41=33, Resulting Numbers: [6, 23, 33]
Generated Node #2: [6, 23, 33] from Operation: 74-41=33
Current State: 60:[6, 23, 33], Operations: ['74-41=33']
Exploring Operation: 33-23=10, Resulting Numbers: [6, 10]
Generated Node #3: [6, 10] from Operation: 33-23=10
Current State: 60:[6, 10], Operations: ['74-41=33', '33-23=10']
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
80,
86,
75,
15
] | 15 | [
"86-80=6",
"75+15=90",
"90/6=15"
] | Current State: 15:[80, 86, 75, 15], Operations: []
Exploring Operation: 86-80=6, Resulting Numbers: [75, 15, 6]
Generated Node #2: [75, 15, 6] from Operation: 86-80=6
Current State: 15:[75, 15, 6], Operations: ['86-80=6']
Exploring Operation: 75+15=90, Resulting Numbers: [6, 90]
Generated Node #3: [6, 90] from Operation: 75+15=90
Current State: 15:[6, 90], Operations: ['86-80=6', '75+15=90']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
72,
74,
87,
8
] | 93 | [
"74-72=2",
"87+8=95",
"95-2=93"
] | Current State: 93:[72, 74, 87, 8], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [87, 8, 2]
Generated Node #2: [87, 8, 2] from Operation: 74-72=2
Current State: 93:[87, 8, 2], Operations: ['74-72=2']
Exploring Operation: 87+8=95, Resulting Numbers: [2, 95]
Generated Node #3: [2, 95] from Operation: 87+8=95
Current State: 93:[2, 95], Operations: ['74-72=2', '87+8=95']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
60,
82,
73,
62
] | 70 | [
"82-62=20",
"60/20=3",
"73-3=70"
] | Current State: 70:[60, 82, 73, 62], Operations: []
Exploring Operation: 82-62=20, Resulting Numbers: [60, 73, 20]
Generated Node #2: [60, 73, 20] from Operation: 82-62=20
Current State: 70:[60, 73, 20], Operations: ['82-62=20']
Exploring Operation: 60/20=3, Resulting Numbers: [73, 3]
Generated Node #3: [73, 3] from Operation: 60/20=3
Current State: 70:[73, 3], Operations: ['82-62=20', '60/20=3']
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
38,
86,
62,
40
] | 54 | [
"86-38=48",
"62+40=102",
"102-48=54"
] | Current State: 54:[38, 86, 62, 40], Operations: []
Exploring Operation: 86-38=48, Resulting Numbers: [62, 40, 48]
Generated Node #2: [62, 40, 48] from Operation: 86-38=48
Current State: 54:[62, 40, 48], Operations: ['86-38=48']
Exploring Operation: 62+40=102, Resulting Numbers: [48, 102]
Generated Node #3: [48, 102] from Operation: 62+40=102
Current State: 54:[48, 102], Operations: ['86-38=48', '62+40=102']
Exploring Operation: 102-48=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
81,
99,
4,
95
] | 80 | [
"99-4=95",
"95/95=1",
"81-1=80"
] | Current State: 80:[81, 99, 4, 95], Operations: []
Exploring Operation: 99-4=95, Resulting Numbers: [81, 95, 95]
Generated Node #2: [81, 95, 95] from Operation: 99-4=95
Current State: 80:[81, 95, 95], Operations: ['99-4=95']
Exploring Operation: 95/95=1, Resulting Numbers: [81, 1]
Generated Node #3: [81, 1] from Operation: 95/95=1
Current State: 80:[81, 1], Operations: ['99-4=95', '95/95=1']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
3,
47,
8,
12
] | 43 | [
"12/3=4",
"47-8=39",
"4+39=43"
] | Current State: 43:[3, 47, 8, 12], Operations: []
Exploring Operation: 12/3=4, Resulting Numbers: [47, 8, 4]
Generated Node #2: [47, 8, 4] from Operation: 12/3=4
Current State: 43:[47, 8, 4], Operations: ['12/3=4']
Exploring Operation: 47-8=39, Resulting Numbers: [4, 39]
Generated Node #3: [4, 39] from Operation: 47-8=39
Current State: 43:[4, 39], Operations: ['12/3=4', '47-8=39']
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
89,
33,
82,
53
] | 79 | [
"89-33=56",
"82+53=135",
"135-56=79"
] | Current State: 79:[89, 33, 82, 53], Operations: []
Exploring Operation: 89-33=56, Resulting Numbers: [82, 53, 56]
Generated Node #2: [82, 53, 56] from Operation: 89-33=56
Current State: 79:[82, 53, 56], Operations: ['89-33=56']
Exploring Operation: 82+53=135, Resulting Numbers: [56, 135]
Generated Node #3: [56, 135] from Operation: 82+53=135
Current State: 79:[56, 135], Operations: ['89-33=56', '82+53=135']
Exploring Operation: 135-56=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
37,
50,
57,
58
] | 28 | [
"37+50=87",
"57+58=115",
"115-87=28"
] | Current State: 28:[37, 50, 57, 58], Operations: []
Exploring Operation: 37+50=87, Resulting Numbers: [57, 58, 87]
Generated Node #2: [57, 58, 87] from Operation: 37+50=87
Current State: 28:[57, 58, 87], Operations: ['37+50=87']
Exploring Operation: 57+58=115, Resulting Numbers: [87, 115]
Generated Node #3: [87, 115] from Operation: 57+58=115
Current State: 28:[87, 115], Operations: ['37+50=87', '57+58=115']
Exploring Operation: 115-87=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
57,
45,
3,
97
] | 29 | [
"57*3=171",
"45+97=142",
"171-142=29"
] | Current State: 29:[57, 45, 3, 97], Operations: []
Exploring Operation: 57*3=171, Resulting Numbers: [45, 97, 171]
Generated Node #2: [45, 97, 171] from Operation: 57*3=171
Current State: 29:[45, 97, 171], Operations: ['57*3=171']
Exploring Operation: 45+97=142, Resulting Numbers: [171, 142]
Generated Node #3: [171, 142] from Operation: 45+97=142
Current State: 29:[171, 142], Operations: ['57*3=171', '45+97=142']
Exploring Operation: 171-142=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
28,
45,
21,
9
] | 54 | [
"28+21=49",
"45/9=5",
"49+5=54"
] | Current State: 54:[28, 45, 21, 9], Operations: []
Exploring Operation: 28+21=49, Resulting Numbers: [45, 9, 49]
Generated Node #2: [45, 9, 49] from Operation: 28+21=49
Current State: 54:[45, 9, 49], Operations: ['28+21=49']
Exploring Operation: 45/9=5, Resulting Numbers: [49, 5]
Generated Node #3: [49, 5] from Operation: 45/9=5
Current State: 54:[49, 5], Operations: ['28+21=49', '45/9=5']
Exploring Operation: 49+5=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
50,
17,
8,
60
] | 34 | [
"50+8=58",
"60-58=2",
"17*2=34"
] | Current State: 34:[50, 17, 8, 60], Operations: []
Exploring Operation: 50+8=58, Resulting Numbers: [17, 60, 58]
Generated Node #2: [17, 60, 58] from Operation: 50+8=58
Current State: 34:[17, 60, 58], Operations: ['50+8=58']
Exploring Operation: 60-58=2, Resulting Numbers: [17, 2]
Generated Node #3: [17, 2] from Operation: 60-58=2
Current State: 34:[17, 2], Operations: ['50+8=58', '60-58=2']
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
57,
19,
77,
94
] | 22 | [
"77+94=171",
"171/57=3",
"19+3=22"
] | Current State: 22:[57, 19, 77, 94], Operations: []
Exploring Operation: 77+94=171, Resulting Numbers: [57, 19, 171]
Generated Node #2: [57, 19, 171] from Operation: 77+94=171
Current State: 22:[57, 19, 171], Operations: ['77+94=171']
Exploring Operation: 171/57=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 171/57=3
Current State: 22:[19, 3], Operations: ['77+94=171', '171/57=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
25,
18,
11,
23
] | 77 | [
"25+18=43",
"11+23=34",
"43+34=77"
] | Current State: 77:[25, 18, 11, 23], Operations: []
Exploring Operation: 25+18=43, Resulting Numbers: [11, 23, 43]
Generated Node #2: [11, 23, 43] from Operation: 25+18=43
Current State: 77:[11, 23, 43], Operations: ['25+18=43']
Exploring Operation: 11+23=34, Resulting Numbers: [43, 34]
Generated Node #3: [43, 34] from Operation: 11+23=34
Current State: 77:[43, 34], Operations: ['25+18=43', '11+23=34']
Exploring Operation: 43+34=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
4,
69,
66,
37
] | 74 | [
"69-37=32",
"32/4=8",
"66+8=74"
] | Current State: 74:[4, 69, 66, 37], Operations: []
Exploring Operation: 69-37=32, Resulting Numbers: [4, 66, 32]
Generated Node #2: [4, 66, 32] from Operation: 69-37=32
Current State: 74:[4, 66, 32], Operations: ['69-37=32']
Exploring Operation: 32/4=8, Resulting Numbers: [66, 8]
Generated Node #3: [66, 8] from Operation: 32/4=8
Current State: 74:[66, 8], Operations: ['69-37=32', '32/4=8']
Exploring Operation: 66+8=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
63,
18,
79,
36
] | 22 | [
"18*79=1422",
"1422-36=1386",
"1386/63=22"
] | Current State: 22:[63, 18, 79, 36], Operations: []
Exploring Operation: 18*79=1422, Resulting Numbers: [63, 36, 1422]
Generated Node #2: [63, 36, 1422] from Operation: 18*79=1422
Current State: 22:[63, 36, 1422], Operations: ['18*79=1422']
Exploring Operation: 1422-36=1386, Resulting Numbers: [63, 1386]
Generated Node #3: [63, 1386] from Operation: 1422-36=1386
Current State: 22:[63, 1386], Operations: ['18*79=1422', '1422-36=1386']
Exploring Operation: 1386/63=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
43,
38,
16,
59
] | 15 | [
"43-38=5",
"16+59=75",
"75/5=15"
] | Current State: 15:[43, 38, 16, 59], Operations: []
Exploring Operation: 43-38=5, Resulting Numbers: [16, 59, 5]
Generated Node #2: [16, 59, 5] from Operation: 43-38=5
Current State: 15:[16, 59, 5], Operations: ['43-38=5']
Exploring Operation: 16+59=75, Resulting Numbers: [5, 75]
Generated Node #3: [5, 75] from Operation: 16+59=75
Current State: 15:[5, 75], Operations: ['43-38=5', '16+59=75']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
62,
12,
34,
7
] | 47 | [
"62+12=74",
"34-7=27",
"74-27=47"
] | Current State: 47:[62, 12, 34, 7], Operations: []
Exploring Operation: 62+12=74, Resulting Numbers: [34, 7, 74]
Generated Node #2: [34, 7, 74] from Operation: 62+12=74
Current State: 47:[34, 7, 74], Operations: ['62+12=74']
Exploring Operation: 34-7=27, Resulting Numbers: [74, 27]
Generated Node #3: [74, 27] from Operation: 34-7=27
Current State: 47:[74, 27], Operations: ['62+12=74', '34-7=27']
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
1,
99,
84,
74
] | 10 | [
"1+99=100",
"84-74=10",
"100/10=10"
] | Current State: 10:[1, 99, 84, 74], Operations: []
Exploring Operation: 1+99=100, Resulting Numbers: [84, 74, 100]
Generated Node #2: [84, 74, 100] from Operation: 1+99=100
Current State: 10:[84, 74, 100], Operations: ['1+99=100']
Exploring Operation: 84-74=10, Resulting Numbers: [100, 10]
Generated Node #3: [100, 10] from Operation: 84-74=10
Current State: 10:[100, 10], Operations: ['1+99=100', '84-74=10']
Exploring Operation: 100/10=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
97,
96,
74,
25
] | 99 | [
"97-96=1",
"74+25=99",
"1*99=99"
] | Current State: 99:[97, 96, 74, 25], Operations: []
Exploring Operation: 97-96=1, Resulting Numbers: [74, 25, 1]
Generated Node #2: [74, 25, 1] from Operation: 97-96=1
Current State: 99:[74, 25, 1], Operations: ['97-96=1']
Exploring Operation: 74+25=99, Resulting Numbers: [1, 99]
Generated Node #3: [1, 99] from Operation: 74+25=99
Current State: 99:[1, 99], Operations: ['97-96=1', '74+25=99']
Exploring Operation: 1*99=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
87,
15,
9,
35
] | 28 | [
"87-15=72",
"9+35=44",
"72-44=28"
] | Current State: 28:[87, 15, 9, 35], Operations: []
Exploring Operation: 87-15=72, Resulting Numbers: [9, 35, 72]
Generated Node #2: [9, 35, 72] from Operation: 87-15=72
Current State: 28:[9, 35, 72], Operations: ['87-15=72']
Exploring Operation: 9+35=44, Resulting Numbers: [72, 44]
Generated Node #3: [72, 44] from Operation: 9+35=44
Current State: 28:[72, 44], Operations: ['87-15=72', '9+35=44']
Exploring Operation: 72-44=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
36,
80,
99,
82
] | 22 | [
"36*99=3564",
"80+82=162",
"3564/162=22"
] | Current State: 22:[36, 80, 99, 82], Operations: []
Exploring Operation: 36*99=3564, Resulting Numbers: [80, 82, 3564]
Generated Node #2: [80, 82, 3564] from Operation: 36*99=3564
Current State: 22:[80, 82, 3564], Operations: ['36*99=3564']
Exploring Operation: 80+82=162, Resulting Numbers: [3564, 162]
Generated Node #3: [3564, 162] from Operation: 80+82=162
Current State: 22:[3564, 162], Operations: ['36*99=3564', '80+82=162']
Exploring Operation: 3564/162=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
98,
21,
87,
22
] | 95 | [
"87-21=66",
"66/22=3",
"98-3=95"
] | Current State: 95:[98, 21, 87, 22], Operations: []
Exploring Operation: 87-21=66, Resulting Numbers: [98, 22, 66]
Generated Node #2: [98, 22, 66] from Operation: 87-21=66
Current State: 95:[98, 22, 66], Operations: ['87-21=66']
Exploring Operation: 66/22=3, Resulting Numbers: [98, 3]
Generated Node #3: [98, 3] from Operation: 66/22=3
Current State: 95:[98, 3], Operations: ['87-21=66', '66/22=3']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
43,
47,
97,
87
] | 100 | [
"43+47=90",
"97-87=10",
"90+10=100"
] | Current State: 100:[43, 47, 97, 87], Operations: []
Exploring Operation: 43+47=90, Resulting Numbers: [97, 87, 90]
Generated Node #2: [97, 87, 90] from Operation: 43+47=90
Current State: 100:[97, 87, 90], Operations: ['43+47=90']
Exploring Operation: 97-87=10, Resulting Numbers: [90, 10]
Generated Node #3: [90, 10] from Operation: 97-87=10
Current State: 100:[90, 10], Operations: ['43+47=90', '97-87=10']
Exploring Operation: 90+10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
80,
41,
2,
14
] | 32 | [
"80-41=39",
"14/2=7",
"39-7=32"
] | Current State: 32:[80, 41, 2, 14], Operations: []
Exploring Operation: 80-41=39, Resulting Numbers: [2, 14, 39]
Generated Node #2: [2, 14, 39] from Operation: 80-41=39
Current State: 32:[2, 14, 39], Operations: ['80-41=39']
Exploring Operation: 14/2=7, Resulting Numbers: [39, 7]
Generated Node #3: [39, 7] from Operation: 14/2=7
Current State: 32:[39, 7], Operations: ['80-41=39', '14/2=7']
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
74,
77,
44,
27
] | 80 | [
"74+77=151",
"44+27=71",
"151-71=80"
] | Current State: 80:[74, 77, 44, 27], Operations: []
Exploring Operation: 74+77=151, Resulting Numbers: [44, 27, 151]
Generated Node #2: [44, 27, 151] from Operation: 74+77=151
Current State: 80:[44, 27, 151], Operations: ['74+77=151']
Exploring Operation: 44+27=71, Resulting Numbers: [151, 71]
Generated Node #3: [151, 71] from Operation: 44+27=71
Current State: 80:[151, 71], Operations: ['74+77=151', '44+27=71']
Exploring Operation: 151-71=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
20,
51,
64,
51
] | 45 | [
"64-20=44",
"51/51=1",
"44+1=45"
] | Current State: 45:[20, 51, 64, 51], Operations: []
Exploring Operation: 64-20=44, Resulting Numbers: [51, 51, 44]
Generated Node #2: [51, 51, 44] from Operation: 64-20=44
Current State: 45:[51, 51, 44], Operations: ['64-20=44']
Exploring Operation: 51/51=1, Resulting Numbers: [44, 1]
Generated Node #3: [44, 1] from Operation: 51/51=1
Current State: 45:[44, 1], Operations: ['64-20=44', '51/51=1']
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
63,
73,
54,
9
] | 16 | [
"73-63=10",
"54/9=6",
"10+6=16"
] | Current State: 16:[63, 73, 54, 9], Operations: []
Exploring Operation: 73-63=10, Resulting Numbers: [54, 9, 10]
Generated Node #2: [54, 9, 10] from Operation: 73-63=10
Current State: 16:[54, 9, 10], Operations: ['73-63=10']
Exploring Operation: 54/9=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 54/9=6
Current State: 16:[10, 6], Operations: ['73-63=10', '54/9=6']
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
56,
73,
10,
79
] | 14 | [
"73+10=83",
"83-79=4",
"56/4=14"
] | Current State: 14:[56, 73, 10, 79], Operations: []
Exploring Operation: 73+10=83, Resulting Numbers: [56, 79, 83]
Generated Node #2: [56, 79, 83] from Operation: 73+10=83
Current State: 14:[56, 79, 83], Operations: ['73+10=83']
Exploring Operation: 83-79=4, Resulting Numbers: [56, 4]
Generated Node #3: [56, 4] from Operation: 83-79=4
Current State: 14:[56, 4], Operations: ['73+10=83', '83-79=4']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
40,
56,
75,
43
] | 70 | [
"40*56=2240",
"75-43=32",
"2240/32=70"
] | Current State: 70:[40, 56, 75, 43], Operations: []
Exploring Operation: 40*56=2240, Resulting Numbers: [75, 43, 2240]
Generated Node #2: [75, 43, 2240] from Operation: 40*56=2240
Current State: 70:[75, 43, 2240], Operations: ['40*56=2240']
Exploring Operation: 75-43=32, Resulting Numbers: [2240, 32]
Generated Node #3: [2240, 32] from Operation: 75-43=32
Current State: 70:[2240, 32], Operations: ['40*56=2240', '75-43=32']
Exploring Operation: 2240/32=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
7,
39,
43,
95
] | 92 | [
"7+39=46",
"43+95=138",
"138-46=92"
] | Current State: 92:[7, 39, 43, 95], Operations: []
Exploring Operation: 7+39=46, Resulting Numbers: [43, 95, 46]
Generated Node #2: [43, 95, 46] from Operation: 7+39=46
Current State: 92:[43, 95, 46], Operations: ['7+39=46']
Exploring Operation: 43+95=138, Resulting Numbers: [46, 138]
Generated Node #3: [46, 138] from Operation: 43+95=138
Current State: 92:[46, 138], Operations: ['7+39=46', '43+95=138']
Exploring Operation: 138-46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
53,
1,
76,
56
] | 78 | [
"53+1=54",
"76+56=132",
"132-54=78"
] | Current State: 78:[53, 1, 76, 56], Operations: []
Exploring Operation: 53+1=54, Resulting Numbers: [76, 56, 54]
Generated Node #2: [76, 56, 54] from Operation: 53+1=54
Current State: 78:[76, 56, 54], Operations: ['53+1=54']
Exploring Operation: 76+56=132, Resulting Numbers: [54, 132]
Generated Node #3: [54, 132] from Operation: 76+56=132
Current State: 78:[54, 132], Operations: ['53+1=54', '76+56=132']
Exploring Operation: 132-54=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
90,
22,
80,
13
] | 70 | [
"22-13=9",
"90/9=10",
"80-10=70"
] | Current State: 70:[90, 22, 80, 13], Operations: []
Exploring Operation: 22-13=9, Resulting Numbers: [90, 80, 9]
Generated Node #2: [90, 80, 9] from Operation: 22-13=9
Current State: 70:[90, 80, 9], Operations: ['22-13=9']
Exploring Operation: 90/9=10, Resulting Numbers: [80, 10]
Generated Node #3: [80, 10] from Operation: 90/9=10
Current State: 70:[80, 10], Operations: ['22-13=9', '90/9=10']
Exploring Operation: 80-10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
13,
43,
4,
63
] | 67 | [
"63-43=20",
"4*20=80",
"80-13=67"
] | Current State: 67:[13, 43, 4, 63], Operations: []
Exploring Operation: 63-43=20, Resulting Numbers: [13, 4, 20]
Generated Node #2: [13, 4, 20] from Operation: 63-43=20
Current State: 67:[13, 4, 20], Operations: ['63-43=20']
Exploring Operation: 4*20=80, Resulting Numbers: [13, 80]
Generated Node #3: [13, 80] from Operation: 4*20=80
Current State: 67:[13, 80], Operations: ['63-43=20', '4*20=80']
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
4,
42,
2,
57
] | 62 | [
"57-42=15",
"4*15=60",
"2+60=62"
] | Current State: 62:[4, 42, 2, 57], Operations: []
Exploring Operation: 57-42=15, Resulting Numbers: [4, 2, 15]
Generated Node #2: [4, 2, 15] from Operation: 57-42=15
Current State: 62:[4, 2, 15], Operations: ['57-42=15']
Exploring Operation: 4*15=60, Resulting Numbers: [2, 60]
Generated Node #3: [2, 60] from Operation: 4*15=60
Current State: 62:[2, 60], Operations: ['57-42=15', '4*15=60']
Exploring Operation: 2+60=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
81,
8,
1,
88
] | 93 | [
"81+1=82",
"88/8=11",
"82+11=93"
] | Current State: 93:[81, 8, 1, 88], Operations: []
Exploring Operation: 81+1=82, Resulting Numbers: [8, 88, 82]
Generated Node #2: [8, 88, 82] from Operation: 81+1=82
Current State: 93:[8, 88, 82], Operations: ['81+1=82']
Exploring Operation: 88/8=11, Resulting Numbers: [82, 11]
Generated Node #3: [82, 11] from Operation: 88/8=11
Current State: 93:[82, 11], Operations: ['81+1=82', '88/8=11']
Exploring Operation: 82+11=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
26,
78,
81,
43
] | 20 | [
"26+78=104",
"81+43=124",
"124-104=20"
] | Current State: 20:[26, 78, 81, 43], Operations: []
Exploring Operation: 26+78=104, Resulting Numbers: [81, 43, 104]
Generated Node #2: [81, 43, 104] from Operation: 26+78=104
Current State: 20:[81, 43, 104], Operations: ['26+78=104']
Exploring Operation: 81+43=124, Resulting Numbers: [104, 124]
Generated Node #3: [104, 124] from Operation: 81+43=124
Current State: 20:[104, 124], Operations: ['26+78=104', '81+43=124']
Exploring Operation: 124-104=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
3,
6,
7,
12
] | 87 | [
"6-3=3",
"7*12=84",
"3+84=87"
] | Current State: 87:[3, 6, 7, 12], Operations: []
Exploring Operation: 6-3=3, Resulting Numbers: [7, 12, 3]
Generated Node #2: [7, 12, 3] from Operation: 6-3=3
Current State: 87:[7, 12, 3], Operations: ['6-3=3']
Exploring Operation: 7*12=84, Resulting Numbers: [3, 84]
Generated Node #3: [3, 84] from Operation: 7*12=84
Current State: 87:[3, 84], Operations: ['6-3=3', '7*12=84']
Exploring Operation: 3+84=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
14,
56,
22,
49
] | 75 | [
"56/14=4",
"22+49=71",
"4+71=75"
] | Current State: 75:[14, 56, 22, 49], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [22, 49, 4]
Generated Node #2: [22, 49, 4] from Operation: 56/14=4
Current State: 75:[22, 49, 4], Operations: ['56/14=4']
Exploring Operation: 22+49=71, Resulting Numbers: [4, 71]
Generated Node #3: [4, 71] from Operation: 22+49=71
Current State: 75:[4, 71], Operations: ['56/14=4', '22+49=71']
Exploring Operation: 4+71=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
13,
9,
8,
72
] | 27 | [
"13-8=5",
"9*5=45",
"72-45=27"
] | Current State: 27:[13, 9, 8, 72], Operations: []
Exploring Operation: 13-8=5, Resulting Numbers: [9, 72, 5]
Generated Node #2: [9, 72, 5] from Operation: 13-8=5
Current State: 27:[9, 72, 5], Operations: ['13-8=5']
Exploring Operation: 9*5=45, Resulting Numbers: [72, 45]
Generated Node #3: [72, 45] from Operation: 9*5=45
Current State: 27:[72, 45], Operations: ['13-8=5', '9*5=45']
Exploring Operation: 72-45=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
30,
75,
21,
84
] | 89 | [
"30+75=105",
"105/21=5",
"84+5=89"
] | Current State: 89:[30, 75, 21, 84], Operations: []
Exploring Operation: 30+75=105, Resulting Numbers: [21, 84, 105]
Generated Node #2: [21, 84, 105] from Operation: 30+75=105
Current State: 89:[21, 84, 105], Operations: ['30+75=105']
Exploring Operation: 105/21=5, Resulting Numbers: [84, 5]
Generated Node #3: [84, 5] from Operation: 105/21=5
Current State: 89:[84, 5], Operations: ['30+75=105', '105/21=5']
Exploring Operation: 84+5=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
82,
23,
11,
84
] | 87 | [
"82+84=166",
"23*11=253",
"253-166=87"
] | Current State: 87:[82, 23, 11, 84], Operations: []
Exploring Operation: 82+84=166, Resulting Numbers: [23, 11, 166]
Generated Node #2: [23, 11, 166] from Operation: 82+84=166
Current State: 87:[23, 11, 166], Operations: ['82+84=166']
Exploring Operation: 23*11=253, Resulting Numbers: [166, 253]
Generated Node #3: [166, 253] from Operation: 23*11=253
Current State: 87:[166, 253], Operations: ['82+84=166', '23*11=253']
Exploring Operation: 253-166=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
24,
38,
7,
13
] | 85 | [
"38-24=14",
"7*14=98",
"98-13=85"
] | Current State: 85:[24, 38, 7, 13], Operations: []
Exploring Operation: 38-24=14, Resulting Numbers: [7, 13, 14]
Generated Node #2: [7, 13, 14] from Operation: 38-24=14
Current State: 85:[7, 13, 14], Operations: ['38-24=14']
Exploring Operation: 7*14=98, Resulting Numbers: [13, 98]
Generated Node #3: [13, 98] from Operation: 7*14=98
Current State: 85:[13, 98], Operations: ['38-24=14', '7*14=98']
Exploring Operation: 98-13=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
66,
24,
9,
6
] | 57 | [
"66-24=42",
"9+6=15",
"42+15=57"
] | Current State: 57:[66, 24, 9, 6], Operations: []
Exploring Operation: 66-24=42, Resulting Numbers: [9, 6, 42]
Generated Node #2: [9, 6, 42] from Operation: 66-24=42
Current State: 57:[9, 6, 42], Operations: ['66-24=42']
Exploring Operation: 9+6=15, Resulting Numbers: [42, 15]
Generated Node #3: [42, 15] from Operation: 9+6=15
Current State: 57:[42, 15], Operations: ['66-24=42', '9+6=15']
Exploring Operation: 42+15=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
28,
72,
3,
82
] | 90 | [
"82-28=54",
"3*54=162",
"162-72=90"
] | Current State: 90:[28, 72, 3, 82], Operations: []
Exploring Operation: 82-28=54, Resulting Numbers: [72, 3, 54]
Generated Node #2: [72, 3, 54] from Operation: 82-28=54
Current State: 90:[72, 3, 54], Operations: ['82-28=54']
Exploring Operation: 3*54=162, Resulting Numbers: [72, 162]
Generated Node #3: [72, 162] from Operation: 3*54=162
Current State: 90:[72, 162], Operations: ['82-28=54', '3*54=162']
Exploring Operation: 162-72=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
9,
88,
49,
99
] | 51 | [
"9+88=97",
"49+99=148",
"148-97=51"
] | Current State: 51:[9, 88, 49, 99], Operations: []
Exploring Operation: 9+88=97, Resulting Numbers: [49, 99, 97]
Generated Node #2: [49, 99, 97] from Operation: 9+88=97
Current State: 51:[49, 99, 97], Operations: ['9+88=97']
Exploring Operation: 49+99=148, Resulting Numbers: [97, 148]
Generated Node #3: [97, 148] from Operation: 49+99=148
Current State: 51:[97, 148], Operations: ['9+88=97', '49+99=148']
Exploring Operation: 148-97=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
45,
85,
45,
54
] | 54 | [
"45-45=0",
"85*0=0",
"54+0=54"
] | Current State: 54:[45, 85, 45, 54], Operations: []
Exploring Operation: 45-45=0, Resulting Numbers: [85, 54, 0]
Generated Node #2: [85, 54, 0] from Operation: 45-45=0
Current State: 54:[85, 54, 0], Operations: ['45-45=0']
Exploring Operation: 85*0=0, Resulting Numbers: [54, 0]
Generated Node #3: [54, 0] from Operation: 85*0=0
Current State: 54:[54, 0], Operations: ['45-45=0', '85*0=0']
Exploring Operation: 54+0=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
90,
8,
34,
87
] | 45 | [
"90+8=98",
"87-34=53",
"98-53=45"
] | Current State: 45:[90, 8, 34, 87], Operations: []
Exploring Operation: 90+8=98, Resulting Numbers: [34, 87, 98]
Generated Node #2: [34, 87, 98] from Operation: 90+8=98
Current State: 45:[34, 87, 98], Operations: ['90+8=98']
Exploring Operation: 87-34=53, Resulting Numbers: [98, 53]
Generated Node #3: [98, 53] from Operation: 87-34=53
Current State: 45:[98, 53], Operations: ['90+8=98', '87-34=53']
Exploring Operation: 98-53=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
95,
56,
25,
45
] | 97 | [
"56*45=2520",
"2520-95=2425",
"2425/25=97"
] | Current State: 97:[95, 56, 25, 45], Operations: []
Exploring Operation: 56*45=2520, Resulting Numbers: [95, 25, 2520]
Generated Node #2: [95, 25, 2520] from Operation: 56*45=2520
Current State: 97:[95, 25, 2520], Operations: ['56*45=2520']
Exploring Operation: 2520-95=2425, Resulting Numbers: [25, 2425]
Generated Node #3: [25, 2425] from Operation: 2520-95=2425
Current State: 97:[25, 2425], Operations: ['56*45=2520', '2520-95=2425']
Exploring Operation: 2425/25=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
19,
94,
56,
93
] | 91 | [
"94-56=38",
"38/19=2",
"93-2=91"
] | Current State: 91:[19, 94, 56, 93], Operations: []
Exploring Operation: 94-56=38, Resulting Numbers: [19, 93, 38]
Generated Node #2: [19, 93, 38] from Operation: 94-56=38
Current State: 91:[19, 93, 38], Operations: ['94-56=38']
Exploring Operation: 38/19=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 38/19=2
Current State: 91:[93, 2], Operations: ['94-56=38', '38/19=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
96,
83,
48,
21
] | 31 | [
"96/48=2",
"83-21=62",
"62/2=31"
] | Current State: 31:[96, 83, 48, 21], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [83, 21, 2]
Generated Node #2: [83, 21, 2] from Operation: 96/48=2
Current State: 31:[83, 21, 2], Operations: ['96/48=2']
Exploring Operation: 83-21=62, Resulting Numbers: [2, 62]
Generated Node #3: [2, 62] from Operation: 83-21=62
Current State: 31:[2, 62], Operations: ['96/48=2', '83-21=62']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
99,
45,
55,
74
] | 99 | [
"99-74=25",
"45*55=2475",
"2475/25=99"
] | Current State: 99:[99, 45, 55, 74], Operations: []
Exploring Operation: 99-74=25, Resulting Numbers: [45, 55, 25]
Generated Node #2: [45, 55, 25] from Operation: 99-74=25
Current State: 99:[45, 55, 25], Operations: ['99-74=25']
Exploring Operation: 45*55=2475, Resulting Numbers: [25, 2475]
Generated Node #3: [25, 2475] from Operation: 45*55=2475
Current State: 99:[25, 2475], Operations: ['99-74=25', '45*55=2475']
Exploring Operation: 2475/25=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
9,
6,
63,
15
] | 45 | [
"9-6=3",
"63-15=48",
"48-3=45"
] | Current State: 45:[9, 6, 63, 15], Operations: []
Exploring Operation: 9-6=3, Resulting Numbers: [63, 15, 3]
Generated Node #2: [63, 15, 3] from Operation: 9-6=3
Current State: 45:[63, 15, 3], Operations: ['9-6=3']
Exploring Operation: 63-15=48, Resulting Numbers: [3, 48]
Generated Node #3: [3, 48] from Operation: 63-15=48
Current State: 45:[3, 48], Operations: ['9-6=3', '63-15=48']
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
18,
12,
22,
87
] | 80 | [
"12*87=1044",
"1044/18=58",
"22+58=80"
] | Current State: 80:[18, 12, 22, 87], Operations: []
Exploring Operation: 12*87=1044, Resulting Numbers: [18, 22, 1044]
Generated Node #2: [18, 22, 1044] from Operation: 12*87=1044
Current State: 80:[18, 22, 1044], Operations: ['12*87=1044']
Exploring Operation: 1044/18=58, Resulting Numbers: [22, 58]
Generated Node #3: [22, 58] from Operation: 1044/18=58
Current State: 80:[22, 58], Operations: ['12*87=1044', '1044/18=58']
Exploring Operation: 22+58=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
97,
88,
87,
16
] | 57 | [
"97-88=9",
"16*9=144",
"144-87=57"
] | Current State: 57:[97, 88, 87, 16], Operations: []
Exploring Operation: 97-88=9, Resulting Numbers: [87, 16, 9]
Generated Node #2: [87, 16, 9] from Operation: 97-88=9
Current State: 57:[87, 16, 9], Operations: ['97-88=9']
Exploring Operation: 16*9=144, Resulting Numbers: [87, 144]
Generated Node #3: [87, 144] from Operation: 16*9=144
Current State: 57:[87, 144], Operations: ['97-88=9', '16*9=144']
Exploring Operation: 144-87=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
48,
44,
64,
83
] | 52 | [
"83-44=39",
"64*39=2496",
"2496/48=52"
] | Current State: 52:[48, 44, 64, 83], Operations: []
Exploring Operation: 83-44=39, Resulting Numbers: [48, 64, 39]
Generated Node #2: [48, 64, 39] from Operation: 83-44=39
Current State: 52:[48, 64, 39], Operations: ['83-44=39']
Exploring Operation: 64*39=2496, Resulting Numbers: [48, 2496]
Generated Node #3: [48, 2496] from Operation: 64*39=2496
Current State: 52:[48, 2496], Operations: ['83-44=39', '64*39=2496']
Exploring Operation: 2496/48=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
3,
65,
93,
63
] | 44 | [
"65*63=4095",
"4095-3=4092",
"4092/93=44"
] | Current State: 44:[3, 65, 93, 63], Operations: []
Exploring Operation: 65*63=4095, Resulting Numbers: [3, 93, 4095]
Generated Node #2: [3, 93, 4095] from Operation: 65*63=4095
Current State: 44:[3, 93, 4095], Operations: ['65*63=4095']
Exploring Operation: 4095-3=4092, Resulting Numbers: [93, 4092]
Generated Node #3: [93, 4092] from Operation: 4095-3=4092
Current State: 44:[93, 4092], Operations: ['65*63=4095', '4095-3=4092']
Exploring Operation: 4092/93=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
92,
38,
85,
15
] | 81 | [
"38-15=23",
"92/23=4",
"85-4=81"
] | Current State: 81:[92, 38, 85, 15], Operations: []
Exploring Operation: 38-15=23, Resulting Numbers: [92, 85, 23]
Generated Node #2: [92, 85, 23] from Operation: 38-15=23
Current State: 81:[92, 85, 23], Operations: ['38-15=23']
Exploring Operation: 92/23=4, Resulting Numbers: [85, 4]
Generated Node #3: [85, 4] from Operation: 92/23=4
Current State: 81:[85, 4], Operations: ['38-15=23', '92/23=4']
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
73,
55,
65,
17
] | 81 | [
"73-65=8",
"17*8=136",
"136-55=81"
] | Current State: 81:[73, 55, 65, 17], Operations: []
Exploring Operation: 73-65=8, Resulting Numbers: [55, 17, 8]
Generated Node #2: [55, 17, 8] from Operation: 73-65=8
Current State: 81:[55, 17, 8], Operations: ['73-65=8']
Exploring Operation: 17*8=136, Resulting Numbers: [55, 136]
Generated Node #3: [55, 136] from Operation: 17*8=136
Current State: 81:[55, 136], Operations: ['73-65=8', '17*8=136']
Exploring Operation: 136-55=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
44,
57,
22,
48
] | 11 | [
"44/22=2",
"57-48=9",
"2+9=11"
] | Current State: 11:[44, 57, 22, 48], Operations: []
Exploring Operation: 44/22=2, Resulting Numbers: [57, 48, 2]
Generated Node #2: [57, 48, 2] from Operation: 44/22=2
Current State: 11:[57, 48, 2], Operations: ['44/22=2']
Exploring Operation: 57-48=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 57-48=9
Current State: 11:[2, 9], Operations: ['44/22=2', '57-48=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
10,
19,
46,
19
] | 57 | [
"10+46=56",
"19/19=1",
"56+1=57"
] | Current State: 57:[10, 19, 46, 19], Operations: []
Exploring Operation: 10+46=56, Resulting Numbers: [19, 19, 56]
Generated Node #2: [19, 19, 56] from Operation: 10+46=56
Current State: 57:[19, 19, 56], Operations: ['10+46=56']
Exploring Operation: 19/19=1, Resulting Numbers: [56, 1]
Generated Node #3: [56, 1] from Operation: 19/19=1
Current State: 57:[56, 1], Operations: ['10+46=56', '19/19=1']
Exploring Operation: 56+1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
13,
40,
64,
51
] | 39 | [
"64-13=51",
"51/51=1",
"40-1=39"
] | Current State: 39:[13, 40, 64, 51], Operations: []
Exploring Operation: 64-13=51, Resulting Numbers: [40, 51, 51]
Generated Node #2: [40, 51, 51] from Operation: 64-13=51
Current State: 39:[40, 51, 51], Operations: ['64-13=51']
Exploring Operation: 51/51=1, Resulting Numbers: [40, 1]
Generated Node #3: [40, 1] from Operation: 51/51=1
Current State: 39:[40, 1], Operations: ['64-13=51', '51/51=1']
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
14,
35,
33,
24
] | 78 | [
"35-14=21",
"33+24=57",
"21+57=78"
] | Current State: 78:[14, 35, 33, 24], Operations: []
Exploring Operation: 35-14=21, Resulting Numbers: [33, 24, 21]
Generated Node #2: [33, 24, 21] from Operation: 35-14=21
Current State: 78:[33, 24, 21], Operations: ['35-14=21']
Exploring Operation: 33+24=57, Resulting Numbers: [21, 57]
Generated Node #3: [21, 57] from Operation: 33+24=57
Current State: 78:[21, 57], Operations: ['35-14=21', '33+24=57']
Exploring Operation: 21+57=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
9,
21,
30,
20
] | 80 | [
"9+21=30",
"30+20=50",
"30+50=80"
] | Current State: 80:[9, 21, 30, 20], Operations: []
Exploring Operation: 9+21=30, Resulting Numbers: [30, 20, 30]
Generated Node #2: [30, 20, 30] from Operation: 9+21=30
Current State: 80:[30, 20, 30], Operations: ['9+21=30']
Exploring Operation: 30+20=50, Resulting Numbers: [50]
50,80 equal: Goal Reached
Exploring Operation: 30+50=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
35,
14,
2,
92
] | 86 | [
"35+14=49",
"92-49=43",
"2*43=86"
] | Current State: 86:[35, 14, 2, 92], Operations: []
Exploring Operation: 35+14=49, Resulting Numbers: [2, 92, 49]
Generated Node #2: [2, 92, 49] from Operation: 35+14=49
Current State: 86:[2, 92, 49], Operations: ['35+14=49']
Exploring Operation: 92-49=43, Resulting Numbers: [2, 43]
Generated Node #3: [2, 43] from Operation: 92-49=43
Current State: 86:[2, 43], Operations: ['35+14=49', '92-49=43']
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
81,
5,
87,
85
] | 84 | [
"81+5=86",
"87-85=2",
"86-2=84"
] | Current State: 84:[81, 5, 87, 85], Operations: []
Exploring Operation: 81+5=86, Resulting Numbers: [87, 85, 86]
Generated Node #2: [87, 85, 86] from Operation: 81+5=86
Current State: 84:[87, 85, 86], Operations: ['81+5=86']
Exploring Operation: 87-85=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 87-85=2
Current State: 84:[86, 2], Operations: ['81+5=86', '87-85=2']
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
7,
84,
7,
42
] | 79 | [
"42-7=35",
"35/7=5",
"84-5=79"
] | Current State: 79:[7, 84, 7, 42], Operations: []
Exploring Operation: 42-7=35, Resulting Numbers: [84, 35]
Generated Node #2: [84, 35] from Operation: 42-7=35
Current State: 79:[84, 35], Operations: ['42-7=35']
Exploring Operation: 35/7=5, Resulting Numbers: [84, 5]
Generated Node #3: [84, 5] from Operation: 35/7=5
Current State: 79:[84, 5], Operations: ['42-7=35', '35/7=5']
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
44,
13,
5,
13
] | 50 | [
"44+5=49",
"13/13=1",
"49+1=50"
] | Current State: 50:[44, 13, 5, 13], Operations: []
Exploring Operation: 44+5=49, Resulting Numbers: [13, 13, 49]
Generated Node #2: [13, 13, 49] from Operation: 44+5=49
Current State: 50:[13, 13, 49], Operations: ['44+5=49']
Exploring Operation: 13/13=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 13/13=1
Current State: 50:[49, 1], Operations: ['44+5=49', '13/13=1']
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
87,
86,
77,
8
] | 85 | [
"87-86=1",
"77+8=85",
"1*85=85"
] | Current State: 85:[87, 86, 77, 8], Operations: []
Exploring Operation: 87-86=1, Resulting Numbers: [77, 8, 1]
Generated Node #2: [77, 8, 1] from Operation: 87-86=1
Current State: 85:[77, 8, 1], Operations: ['87-86=1']
Exploring Operation: 77+8=85, Resulting Numbers: [1, 85]
Generated Node #3: [1, 85] from Operation: 77+8=85
Current State: 85:[1, 85], Operations: ['87-86=1', '77+8=85']
Exploring Operation: 1*85=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
41,
64,
63,
67
] | 57 | [
"67-63=4",
"64/4=16",
"41+16=57"
] | Current State: 57:[41, 64, 63, 67], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [41, 64, 4]
Generated Node #2: [41, 64, 4] from Operation: 67-63=4
Current State: 57:[41, 64, 4], Operations: ['67-63=4']
Exploring Operation: 64/4=16, Resulting Numbers: [41, 16]
Generated Node #3: [41, 16] from Operation: 64/4=16
Current State: 57:[41, 16], Operations: ['67-63=4', '64/4=16']
Exploring Operation: 41+16=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
14,
97,
29,
15
] | 39 | [
"97-14=83",
"29+15=44",
"83-44=39"
] | Current State: 39:[14, 97, 29, 15], Operations: []
Exploring Operation: 97-14=83, Resulting Numbers: [29, 15, 83]
Generated Node #2: [29, 15, 83] from Operation: 97-14=83
Current State: 39:[29, 15, 83], Operations: ['97-14=83']
Exploring Operation: 29+15=44, Resulting Numbers: [83, 44]
Generated Node #3: [83, 44] from Operation: 29+15=44
Current State: 39:[83, 44], Operations: ['97-14=83', '29+15=44']
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
14,
3,
2,
12
] | 18 | [
"14*3=42",
"2*12=24",
"42-24=18"
] | Current State: 18:[14, 3, 2, 12], Operations: []
Exploring Operation: 14*3=42, Resulting Numbers: [2, 12, 42]
Generated Node #2: [2, 12, 42] from Operation: 14*3=42
Current State: 18:[2, 12, 42], Operations: ['14*3=42']
Exploring Operation: 2*12=24, Resulting Numbers: [42, 24]
Generated Node #3: [42, 24] from Operation: 2*12=24
Current State: 18:[42, 24], Operations: ['14*3=42', '2*12=24']
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
82,
57,
58,
58
] | 23 | [
"82+57=139",
"58+58=116",
"139-116=23"
] | Current State: 23:[82, 57, 58, 58], Operations: []
Exploring Operation: 82+57=139, Resulting Numbers: [58, 58, 139]
Generated Node #2: [58, 58, 139] from Operation: 82+57=139
Current State: 23:[58, 58, 139], Operations: ['82+57=139']
Exploring Operation: 58+58=116, Resulting Numbers: [139, 116]
Generated Node #3: [139, 116] from Operation: 58+58=116
Current State: 23:[139, 116], Operations: ['82+57=139', '58+58=116']
Exploring Operation: 139-116=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
86,
28,
32,
3
] | 38 | [
"86-28=58",
"32*3=96",
"96-58=38"
] | Current State: 38:[86, 28, 32, 3], Operations: []
Exploring Operation: 86-28=58, Resulting Numbers: [32, 3, 58]
Generated Node #2: [32, 3, 58] from Operation: 86-28=58
Current State: 38:[32, 3, 58], Operations: ['86-28=58']
Exploring Operation: 32*3=96, Resulting Numbers: [58, 96]
Generated Node #3: [58, 96] from Operation: 32*3=96
Current State: 38:[58, 96], Operations: ['86-28=58', '32*3=96']
Exploring Operation: 96-58=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
82,
24,
95,
70
] | 15 | [
"82+70=152",
"24*95=2280",
"2280/152=15"
] | Current State: 15:[82, 24, 95, 70], Operations: []
Exploring Operation: 82+70=152, Resulting Numbers: [24, 95, 152]
Generated Node #2: [24, 95, 152] from Operation: 82+70=152
Current State: 15:[24, 95, 152], Operations: ['82+70=152']
Exploring Operation: 24*95=2280, Resulting Numbers: [152, 2280]
Generated Node #3: [152, 2280] from Operation: 24*95=2280
Current State: 15:[152, 2280], Operations: ['82+70=152', '24*95=2280']
Exploring Operation: 2280/152=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
51,
53,
86,
20
] | 23 | [
"53-51=2",
"86/2=43",
"43-20=23"
] | Current State: 23:[51, 53, 86, 20], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [86, 20, 2]
Generated Node #2: [86, 20, 2] from Operation: 53-51=2
Current State: 23:[86, 20, 2], Operations: ['53-51=2']
Exploring Operation: 86/2=43, Resulting Numbers: [20, 43]
Generated Node #3: [20, 43] from Operation: 86/2=43
Current State: 23:[20, 43], Operations: ['53-51=2', '86/2=43']
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
2,
21,
68,
96
] | 82 | [
"21+68=89",
"2*89=178",
"178-96=82"
] | Current State: 82:[2, 21, 68, 96], Operations: []
Exploring Operation: 21+68=89, Resulting Numbers: [2, 96, 89]
Generated Node #2: [2, 96, 89] from Operation: 21+68=89
Current State: 82:[2, 96, 89], Operations: ['21+68=89']
Exploring Operation: 2*89=178, Resulting Numbers: [96, 178]
Generated Node #3: [96, 178] from Operation: 2*89=178
Current State: 82:[96, 178], Operations: ['21+68=89', '2*89=178']
Exploring Operation: 178-96=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
22,
96,
34,
4
] | 82 | [
"22+34=56",
"56/4=14",
"96-14=82"
] | Current State: 82:[22, 96, 34, 4], Operations: []
Exploring Operation: 22+34=56, Resulting Numbers: [96, 4, 56]
Generated Node #2: [96, 4, 56] from Operation: 22+34=56
Current State: 82:[96, 4, 56], Operations: ['22+34=56']
Exploring Operation: 56/4=14, Resulting Numbers: [96, 14]
Generated Node #3: [96, 14] from Operation: 56/4=14
Current State: 82:[96, 14], Operations: ['22+34=56', '56/4=14']
Exploring Operation: 96-14=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
70,
94,
91,
56
] | 59 | [
"94-70=24",
"91-56=35",
"24+35=59"
] | Current State: 59:[70, 94, 91, 56], Operations: []
Exploring Operation: 94-70=24, Resulting Numbers: [91, 56, 24]
Generated Node #2: [91, 56, 24] from Operation: 94-70=24
Current State: 59:[91, 56, 24], Operations: ['94-70=24']
Exploring Operation: 91-56=35, Resulting Numbers: [24, 35]
Generated Node #3: [24, 35] from Operation: 91-56=35
Current State: 59:[24, 35], Operations: ['94-70=24', '91-56=35']
Exploring Operation: 24+35=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
49,
57,
69,
52
] | 80 | [
"52-49=3",
"69/3=23",
"57+23=80"
] | Current State: 80:[49, 57, 69, 52], Operations: []
Exploring Operation: 52-49=3, Resulting Numbers: [57, 69, 3]
Generated Node #2: [57, 69, 3] from Operation: 52-49=3
Current State: 80:[57, 69, 3], Operations: ['52-49=3']
Exploring Operation: 69/3=23, Resulting Numbers: [57, 23]
Generated Node #3: [57, 23] from Operation: 69/3=23
Current State: 80:[57, 23], Operations: ['52-49=3', '69/3=23']
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
68,
66,
32,
84
] | 100 | [
"68-66=2",
"32/2=16",
"84+16=100"
] | Current State: 100:[68, 66, 32, 84], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [32, 84, 2]
Generated Node #2: [32, 84, 2] from Operation: 68-66=2
Current State: 100:[32, 84, 2], Operations: ['68-66=2']
Exploring Operation: 32/2=16, Resulting Numbers: [84, 16]
Generated Node #3: [84, 16] from Operation: 32/2=16
Current State: 100:[84, 16], Operations: ['68-66=2', '32/2=16']
Exploring Operation: 84+16=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
75,
35,
8,
5
] | 71 | [
"35*8=280",
"75+280=355",
"355/5=71"
] | Current State: 71:[75, 35, 8, 5], Operations: []
Exploring Operation: 35*8=280, Resulting Numbers: [75, 5, 280]
Generated Node #2: [75, 5, 280] from Operation: 35*8=280
Current State: 71:[75, 5, 280], Operations: ['35*8=280']
Exploring Operation: 75+280=355, Resulting Numbers: [5, 355]
Generated Node #3: [5, 355] from Operation: 75+280=355
Current State: 71:[5, 355], Operations: ['35*8=280', '75+280=355']
Exploring Operation: 355/5=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
10,
33,
16,
89
] | 81 | [
"33-16=17",
"10*17=170",
"170-89=81"
] | Current State: 81:[10, 33, 16, 89], Operations: []
Exploring Operation: 33-16=17, Resulting Numbers: [10, 89, 17]
Generated Node #2: [10, 89, 17] from Operation: 33-16=17
Current State: 81:[10, 89, 17], Operations: ['33-16=17']
Exploring Operation: 10*17=170, Resulting Numbers: [89, 170]
Generated Node #3: [89, 170] from Operation: 10*17=170
Current State: 81:[89, 170], Operations: ['33-16=17', '10*17=170']
Exploring Operation: 170-89=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
14,
40,
4,
3
] | 93 | [
"14*4=56",
"40-3=37",
"56+37=93"
] | Current State: 93:[14, 40, 4, 3], Operations: []
Exploring Operation: 14*4=56, Resulting Numbers: [40, 3, 56]
Generated Node #2: [40, 3, 56] from Operation: 14*4=56
Current State: 93:[40, 3, 56], Operations: ['14*4=56']
Exploring Operation: 40-3=37, Resulting Numbers: [56, 37]
Generated Node #3: [56, 37] from Operation: 40-3=37
Current State: 93:[56, 37], Operations: ['14*4=56', '40-3=37']
Exploring Operation: 56+37=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
77,
55,
2,
74
] | 30 | [
"77-55=22",
"2*22=44",
"74-44=30"
] | Current State: 30:[77, 55, 2, 74], Operations: []
Exploring Operation: 77-55=22, Resulting Numbers: [2, 74, 22]
Generated Node #2: [2, 74, 22] from Operation: 77-55=22
Current State: 30:[2, 74, 22], Operations: ['77-55=22']
Exploring Operation: 2*22=44, Resulting Numbers: [74, 44]
Generated Node #3: [74, 44] from Operation: 2*22=44
Current State: 30:[74, 44], Operations: ['77-55=22', '2*22=44']
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
35,
50,
52,
54
] | 48 | [
"54-50=4",
"52/4=13",
"35+13=48"
] | Current State: 48:[35, 50, 52, 54], Operations: []
Exploring Operation: 54-50=4, Resulting Numbers: [35, 52, 4]
Generated Node #2: [35, 52, 4] from Operation: 54-50=4
Current State: 48:[35, 52, 4], Operations: ['54-50=4']
Exploring Operation: 52/4=13, Resulting Numbers: [35, 13]
Generated Node #3: [35, 13] from Operation: 52/4=13
Current State: 48:[35, 13], Operations: ['54-50=4', '52/4=13']
Exploring Operation: 35+13=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
23,
93,
24,
27
] | 81 | [
"93-24=69",
"69/23=3",
"27*3=81"
] | Current State: 81:[23, 93, 24, 27], Operations: []
Exploring Operation: 93-24=69, Resulting Numbers: [23, 27, 69]
Generated Node #2: [23, 27, 69] from Operation: 93-24=69
Current State: 81:[23, 27, 69], Operations: ['93-24=69']
Exploring Operation: 69/23=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 69/23=3
Current State: 81:[27, 3], Operations: ['93-24=69', '69/23=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
99,
80,
40,
39
] | 30 | [
"99-39=60",
"80/40=2",
"60/2=30"
] | Current State: 30:[99, 80, 40, 39], Operations: []
Exploring Operation: 99-39=60, Resulting Numbers: [80, 40, 60]
Generated Node #2: [80, 40, 60] from Operation: 99-39=60
Current State: 30:[80, 40, 60], Operations: ['99-39=60']
Exploring Operation: 80/40=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 80/40=2
Current State: 30:[60, 2], Operations: ['99-39=60', '80/40=2']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
84,
98,
55,
91
] | 43 | [
"98-91=7",
"84/7=12",
"55-12=43"
] | Current State: 43:[84, 98, 55, 91], Operations: []
Exploring Operation: 98-91=7, Resulting Numbers: [84, 55, 7]
Generated Node #2: [84, 55, 7] from Operation: 98-91=7
Current State: 43:[84, 55, 7], Operations: ['98-91=7']
Exploring Operation: 84/7=12, Resulting Numbers: [55, 12]
Generated Node #3: [55, 12] from Operation: 84/7=12
Current State: 43:[55, 12], Operations: ['98-91=7', '84/7=12']
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
5,
22,
82,
9
] | 56 | [
"22-5=17",
"82-9=73",
"73-17=56"
] | Current State: 56:[5, 22, 82, 9], Operations: []
Exploring Operation: 22-5=17, Resulting Numbers: [82, 9, 17]
Generated Node #2: [82, 9, 17] from Operation: 22-5=17
Current State: 56:[82, 9, 17], Operations: ['22-5=17']
Exploring Operation: 82-9=73, Resulting Numbers: [17, 73]
Generated Node #3: [17, 73] from Operation: 82-9=73
Current State: 56:[17, 73], Operations: ['22-5=17', '82-9=73']
Exploring Operation: 73-17=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
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