nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
38,
85,
53,
13
] | 87 | [
"85-38=47",
"53-13=40",
"47+40=87"
] | Current State: 87:[38, 85, 53, 13], Operations: []
Exploring Operation: 85-38=47, Resulting Numbers: [53, 13, 47]
Generated Node #2: [53, 13, 47] from Operation: 85-38=47
Current State: 87:[53, 13, 47], Operations: ['85-38=47']
Exploring Operation: 53-13=40, Resulting Numbers: [47, 40]
Generated Node #3: [47, 40] from Operation: 53-13=40
Current State: 87:[47, 40], Operations: ['85-38=47', '53-13=40']
Exploring Operation: 47+40=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
11,
36,
79,
5
] | 59 | [
"36-11=25",
"79+5=84",
"84-25=59"
] | Current State: 59:[11, 36, 79, 5], Operations: []
Exploring Operation: 36-11=25, Resulting Numbers: [79, 5, 25]
Generated Node #2: [79, 5, 25] from Operation: 36-11=25
Current State: 59:[79, 5, 25], Operations: ['36-11=25']
Exploring Operation: 79+5=84, Resulting Numbers: [25, 84]
Generated Node #3: [25, 84] from Operation: 79+5=84
Current State: 59:[25, 84], Operations: ['36-11=25', '79+5=84']
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
88,
28,
77,
83
] | 10 | [
"88-28=60",
"83-77=6",
"60/6=10"
] | Current State: 10:[88, 28, 77, 83], Operations: []
Exploring Operation: 88-28=60, Resulting Numbers: [77, 83, 60]
Generated Node #2: [77, 83, 60] from Operation: 88-28=60
Current State: 10:[77, 83, 60], Operations: ['88-28=60']
Exploring Operation: 83-77=6, Resulting Numbers: [60, 6]
Generated Node #3: [60, 6] from Operation: 83-77=6
Current State: 10:[60, 6], Operations: ['88-28=60', '83-77=6']
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
16,
5,
8,
15
] | 45 | [
"16-5=11",
"11-8=3",
"15*3=45"
] | Current State: 45:[16, 5, 8, 15], Operations: []
Exploring Operation: 16-5=11, Resulting Numbers: [8, 15, 11]
Generated Node #2: [8, 15, 11] from Operation: 16-5=11
Current State: 45:[8, 15, 11], Operations: ['16-5=11']
Exploring Operation: 11-8=3, Resulting Numbers: [15, 3]
Generated Node #3: [15, 3] from Operation: 11-8=3
Current State: 45:[15, 3], Operations: ['16-5=11', '11-8=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
78,
93,
31,
62
] | 73 | [
"93+62=155",
"155/31=5",
"78-5=73"
] | Current State: 73:[78, 93, 31, 62], Operations: []
Exploring Operation: 93+62=155, Resulting Numbers: [78, 31, 155]
Generated Node #2: [78, 31, 155] from Operation: 93+62=155
Current State: 73:[78, 31, 155], Operations: ['93+62=155']
Exploring Operation: 155/31=5, Resulting Numbers: [78, 5]
Generated Node #3: [78, 5] from Operation: 155/31=5
Current State: 73:[78, 5], Operations: ['93+62=155', '155/31=5']
Exploring Operation: 78-5=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
2,
47,
99,
53
] | 79 | [
"99-47=52",
"52/2=26",
"53+26=79"
] | Current State: 79:[2, 47, 99, 53], Operations: []
Exploring Operation: 99-47=52, Resulting Numbers: [2, 53, 52]
Generated Node #2: [2, 53, 52] from Operation: 99-47=52
Current State: 79:[2, 53, 52], Operations: ['99-47=52']
Exploring Operation: 52/2=26, Resulting Numbers: [53, 26]
Generated Node #3: [53, 26] from Operation: 52/2=26
Current State: 79:[53, 26], Operations: ['99-47=52', '52/2=26']
Exploring Operation: 53+26=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
88,
12,
20,
72
] | 79 | [
"20-12=8",
"72/8=9",
"88-9=79"
] | Current State: 79:[88, 12, 20, 72], Operations: []
Exploring Operation: 20-12=8, Resulting Numbers: [88, 72, 8]
Generated Node #2: [88, 72, 8] from Operation: 20-12=8
Current State: 79:[88, 72, 8], Operations: ['20-12=8']
Exploring Operation: 72/8=9, Resulting Numbers: [88, 9]
Generated Node #3: [88, 9] from Operation: 72/8=9
Current State: 79:[88, 9], Operations: ['20-12=8', '72/8=9']
Exploring Operation: 88-9=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
20,
8,
83,
36
] | 35 | [
"20-8=12",
"83-36=47",
"47-12=35"
] | Current State: 35:[20, 8, 83, 36], Operations: []
Exploring Operation: 20-8=12, Resulting Numbers: [83, 36, 12]
Generated Node #2: [83, 36, 12] from Operation: 20-8=12
Current State: 35:[83, 36, 12], Operations: ['20-8=12']
Exploring Operation: 83-36=47, Resulting Numbers: [12, 47]
Generated Node #3: [12, 47] from Operation: 83-36=47
Current State: 35:[12, 47], Operations: ['20-8=12', '83-36=47']
Exploring Operation: 47-12=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
77,
77,
76,
47
] | 31 | [
"77+77=154",
"76+47=123",
"154-123=31"
] | Current State: 31:[77, 77, 76, 47], Operations: []
Exploring Operation: 77+77=154, Resulting Numbers: [76, 47, 154]
Generated Node #2: [76, 47, 154] from Operation: 77+77=154
Current State: 31:[76, 47, 154], Operations: ['77+77=154']
Exploring Operation: 76+47=123, Resulting Numbers: [154, 123]
Generated Node #3: [154, 123] from Operation: 76+47=123
Current State: 31:[154, 123], Operations: ['77+77=154', '76+47=123']
Exploring Operation: 154-123=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
53,
99,
17,
2
] | 80 | [
"99-53=46",
"17*2=34",
"46+34=80"
] | Current State: 80:[53, 99, 17, 2], Operations: []
Exploring Operation: 99-53=46, Resulting Numbers: [17, 2, 46]
Generated Node #2: [17, 2, 46] from Operation: 99-53=46
Current State: 80:[17, 2, 46], Operations: ['99-53=46']
Exploring Operation: 17*2=34, Resulting Numbers: [46, 34]
Generated Node #3: [46, 34] from Operation: 17*2=34
Current State: 80:[46, 34], Operations: ['99-53=46', '17*2=34']
Exploring Operation: 46+34=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
40,
89,
42,
14
] | 43 | [
"40+89=129",
"42/14=3",
"129/3=43"
] | Current State: 43:[40, 89, 42, 14], Operations: []
Exploring Operation: 40+89=129, Resulting Numbers: [42, 14, 129]
Generated Node #2: [42, 14, 129] from Operation: 40+89=129
Current State: 43:[42, 14, 129], Operations: ['40+89=129']
Exploring Operation: 42/14=3, Resulting Numbers: [129, 3]
Generated Node #3: [129, 3] from Operation: 42/14=3
Current State: 43:[129, 3], Operations: ['40+89=129', '42/14=3']
Exploring Operation: 129/3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
33,
13,
11,
14
] | 30 | [
"33/11=3",
"13+14=27",
"3+27=30"
] | Current State: 30:[33, 13, 11, 14], Operations: []
Exploring Operation: 33/11=3, Resulting Numbers: [13, 14, 3]
Generated Node #2: [13, 14, 3] from Operation: 33/11=3
Current State: 30:[13, 14, 3], Operations: ['33/11=3']
Exploring Operation: 13+14=27, Resulting Numbers: [3, 27]
Generated Node #3: [3, 27] from Operation: 13+14=27
Current State: 30:[3, 27], Operations: ['33/11=3', '13+14=27']
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
7,
87,
24,
59
] | 68 | [
"87-24=63",
"63/7=9",
"59+9=68"
] | Current State: 68:[7, 87, 24, 59], Operations: []
Exploring Operation: 87-24=63, Resulting Numbers: [7, 59, 63]
Generated Node #2: [7, 59, 63] from Operation: 87-24=63
Current State: 68:[7, 59, 63], Operations: ['87-24=63']
Exploring Operation: 63/7=9, Resulting Numbers: [59, 9]
Generated Node #3: [59, 9] from Operation: 63/7=9
Current State: 68:[59, 9], Operations: ['87-24=63', '63/7=9']
Exploring Operation: 59+9=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
4,
81,
7,
32
] | 46 | [
"4+81=85",
"7+32=39",
"85-39=46"
] | Current State: 46:[4, 81, 7, 32], Operations: []
Exploring Operation: 4+81=85, Resulting Numbers: [7, 32, 85]
Generated Node #2: [7, 32, 85] from Operation: 4+81=85
Current State: 46:[7, 32, 85], Operations: ['4+81=85']
Exploring Operation: 7+32=39, Resulting Numbers: [85, 39]
Generated Node #3: [85, 39] from Operation: 7+32=39
Current State: 46:[85, 39], Operations: ['4+81=85', '7+32=39']
Exploring Operation: 85-39=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
27,
44,
47,
74
] | 45 | [
"27+47=74",
"74/74=1",
"44+1=45"
] | Current State: 45:[27, 44, 47, 74], Operations: []
Exploring Operation: 27+47=74, Resulting Numbers: [44, 74, 74]
Generated Node #2: [44, 74, 74] from Operation: 27+47=74
Current State: 45:[44, 74, 74], Operations: ['27+47=74']
Exploring Operation: 74/74=1, Resulting Numbers: [44, 1]
Generated Node #3: [44, 1] from Operation: 74/74=1
Current State: 45:[44, 1], Operations: ['27+47=74', '74/74=1']
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
72,
60,
64,
95
] | 43 | [
"72-60=12",
"95-64=31",
"12+31=43"
] | Current State: 43:[72, 60, 64, 95], Operations: []
Exploring Operation: 72-60=12, Resulting Numbers: [64, 95, 12]
Generated Node #2: [64, 95, 12] from Operation: 72-60=12
Current State: 43:[64, 95, 12], Operations: ['72-60=12']
Exploring Operation: 95-64=31, Resulting Numbers: [12, 31]
Generated Node #3: [12, 31] from Operation: 95-64=31
Current State: 43:[12, 31], Operations: ['72-60=12', '95-64=31']
Exploring Operation: 12+31=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
3,
51,
15,
78
] | 66 | [
"51-15=36",
"36/3=12",
"78-12=66"
] | Current State: 66:[3, 51, 15, 78], Operations: []
Exploring Operation: 51-15=36, Resulting Numbers: [3, 78, 36]
Generated Node #2: [3, 78, 36] from Operation: 51-15=36
Current State: 66:[3, 78, 36], Operations: ['51-15=36']
Exploring Operation: 36/3=12, Resulting Numbers: [78, 12]
Generated Node #3: [78, 12] from Operation: 36/3=12
Current State: 66:[78, 12], Operations: ['51-15=36', '36/3=12']
Exploring Operation: 78-12=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
8,
10,
15,
65
] | 98 | [
"8+10=18",
"15+65=80",
"18+80=98"
] | Current State: 98:[8, 10, 15, 65], Operations: []
Exploring Operation: 8+10=18, Resulting Numbers: [15, 65, 18]
Generated Node #2: [15, 65, 18] from Operation: 8+10=18
Current State: 98:[15, 65, 18], Operations: ['8+10=18']
Exploring Operation: 15+65=80, Resulting Numbers: [18, 80]
Generated Node #3: [18, 80] from Operation: 15+65=80
Current State: 98:[18, 80], Operations: ['8+10=18', '15+65=80']
Exploring Operation: 18+80=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
87,
25,
97,
28
] | 63 | [
"87-25=62",
"97+28=125",
"125-62=63"
] | Current State: 63:[87, 25, 97, 28], Operations: []
Exploring Operation: 87-25=62, Resulting Numbers: [97, 28, 62]
Generated Node #2: [97, 28, 62] from Operation: 87-25=62
Current State: 63:[97, 28, 62], Operations: ['87-25=62']
Exploring Operation: 97+28=125, Resulting Numbers: [62, 125]
Generated Node #3: [62, 125] from Operation: 97+28=125
Current State: 63:[62, 125], Operations: ['87-25=62', '97+28=125']
Exploring Operation: 125-62=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
24,
46,
73,
29
] | 87 | [
"24+46=70",
"73-70=3",
"29*3=87"
] | Current State: 87:[24, 46, 73, 29], Operations: []
Exploring Operation: 24+46=70, Resulting Numbers: [73, 29, 70]
Generated Node #2: [73, 29, 70] from Operation: 24+46=70
Current State: 87:[73, 29, 70], Operations: ['24+46=70']
Exploring Operation: 73-70=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 73-70=3
Current State: 87:[29, 3], Operations: ['24+46=70', '73-70=3']
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
82,
65,
63,
36
] | 82 | [
"82-65=17",
"63+36=99",
"99-17=82"
] | Current State: 82:[82, 65, 63, 36], Operations: []
Exploring Operation: 82-65=17, Resulting Numbers: [63, 36, 17]
Generated Node #2: [63, 36, 17] from Operation: 82-65=17
Current State: 82:[63, 36, 17], Operations: ['82-65=17']
Exploring Operation: 63+36=99, Resulting Numbers: [17, 99]
Generated Node #3: [17, 99] from Operation: 63+36=99
Current State: 82:[17, 99], Operations: ['82-65=17', '63+36=99']
Exploring Operation: 99-17=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
39,
75,
48,
9
] | 36 | [
"75-48=27",
"27/9=3",
"39-3=36"
] | Current State: 36:[39, 75, 48, 9], Operations: []
Exploring Operation: 75-48=27, Resulting Numbers: [39, 9, 27]
Generated Node #2: [39, 9, 27] from Operation: 75-48=27
Current State: 36:[39, 9, 27], Operations: ['75-48=27']
Exploring Operation: 27/9=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 27/9=3
Current State: 36:[39, 3], Operations: ['75-48=27', '27/9=3']
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
73,
59,
38,
47
] | 99 | [
"73-59=14",
"38+47=85",
"14+85=99"
] | Current State: 99:[73, 59, 38, 47], Operations: []
Exploring Operation: 73-59=14, Resulting Numbers: [38, 47, 14]
Generated Node #2: [38, 47, 14] from Operation: 73-59=14
Current State: 99:[38, 47, 14], Operations: ['73-59=14']
Exploring Operation: 38+47=85, Resulting Numbers: [14, 85]
Generated Node #3: [14, 85] from Operation: 38+47=85
Current State: 99:[14, 85], Operations: ['73-59=14', '38+47=85']
Exploring Operation: 14+85=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
90,
24,
39,
81
] | 70 | [
"24+39=63",
"90*63=5670",
"5670/81=70"
] | Current State: 70:[90, 24, 39, 81], Operations: []
Exploring Operation: 24+39=63, Resulting Numbers: [90, 81, 63]
Generated Node #2: [90, 81, 63] from Operation: 24+39=63
Current State: 70:[90, 81, 63], Operations: ['24+39=63']
Exploring Operation: 90*63=5670, Resulting Numbers: [81, 5670]
Generated Node #3: [81, 5670] from Operation: 90*63=5670
Current State: 70:[81, 5670], Operations: ['24+39=63', '90*63=5670']
Exploring Operation: 5670/81=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
5,
11,
3,
47
] | 49 | [
"11-5=6",
"6/3=2",
"47+2=49"
] | Current State: 49:[5, 11, 3, 47], Operations: []
Exploring Operation: 11-5=6, Resulting Numbers: [3, 47, 6]
Generated Node #2: [3, 47, 6] from Operation: 11-5=6
Current State: 49:[3, 47, 6], Operations: ['11-5=6']
Exploring Operation: 6/3=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 6/3=2
Current State: 49:[47, 2], Operations: ['11-5=6', '6/3=2']
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
83,
67,
75,
99
] | 73 | [
"67+99=166",
"166/83=2",
"75-2=73"
] | Current State: 73:[83, 67, 75, 99], Operations: []
Exploring Operation: 67+99=166, Resulting Numbers: [83, 75, 166]
Generated Node #2: [83, 75, 166] from Operation: 67+99=166
Current State: 73:[83, 75, 166], Operations: ['67+99=166']
Exploring Operation: 166/83=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 166/83=2
Current State: 73:[75, 2], Operations: ['67+99=166', '166/83=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
68,
2,
54,
97
] | 57 | [
"68+97=165",
"2*54=108",
"165-108=57"
] | Current State: 57:[68, 2, 54, 97], Operations: []
Exploring Operation: 68+97=165, Resulting Numbers: [2, 54, 165]
Generated Node #2: [2, 54, 165] from Operation: 68+97=165
Current State: 57:[2, 54, 165], Operations: ['68+97=165']
Exploring Operation: 2*54=108, Resulting Numbers: [165, 108]
Generated Node #3: [165, 108] from Operation: 2*54=108
Current State: 57:[165, 108], Operations: ['68+97=165', '2*54=108']
Exploring Operation: 165-108=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
38,
14,
29,
2
] | 62 | [
"38/2=19",
"14+29=43",
"19+43=62"
] | Current State: 62:[38, 14, 29, 2], Operations: []
Exploring Operation: 38/2=19, Resulting Numbers: [14, 29, 19]
Generated Node #2: [14, 29, 19] from Operation: 38/2=19
Current State: 62:[14, 29, 19], Operations: ['38/2=19']
Exploring Operation: 14+29=43, Resulting Numbers: [19, 43]
Generated Node #3: [19, 43] from Operation: 14+29=43
Current State: 62:[19, 43], Operations: ['38/2=19', '14+29=43']
Exploring Operation: 19+43=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
97,
24,
68,
59
] | 64 | [
"97-24=73",
"68-59=9",
"73-9=64"
] | Current State: 64:[97, 24, 68, 59], Operations: []
Exploring Operation: 97-24=73, Resulting Numbers: [68, 59, 73]
Generated Node #2: [68, 59, 73] from Operation: 97-24=73
Current State: 64:[68, 59, 73], Operations: ['97-24=73']
Exploring Operation: 68-59=9, Resulting Numbers: [73, 9]
Generated Node #3: [73, 9] from Operation: 68-59=9
Current State: 64:[73, 9], Operations: ['97-24=73', '68-59=9']
Exploring Operation: 73-9=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
83,
79,
12,
31
] | 93 | [
"83-79=4",
"12*31=372",
"372/4=93"
] | Current State: 93:[83, 79, 12, 31], Operations: []
Exploring Operation: 83-79=4, Resulting Numbers: [12, 31, 4]
Generated Node #2: [12, 31, 4] from Operation: 83-79=4
Current State: 93:[12, 31, 4], Operations: ['83-79=4']
Exploring Operation: 12*31=372, Resulting Numbers: [4, 372]
Generated Node #3: [4, 372] from Operation: 12*31=372
Current State: 93:[4, 372], Operations: ['83-79=4', '12*31=372']
Exploring Operation: 372/4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
55,
54,
3,
64
] | 42 | [
"55+54=109",
"3+64=67",
"109-67=42"
] | Current State: 42:[55, 54, 3, 64], Operations: []
Exploring Operation: 55+54=109, Resulting Numbers: [3, 64, 109]
Generated Node #2: [3, 64, 109] from Operation: 55+54=109
Current State: 42:[3, 64, 109], Operations: ['55+54=109']
Exploring Operation: 3+64=67, Resulting Numbers: [109, 67]
Generated Node #3: [109, 67] from Operation: 3+64=67
Current State: 42:[109, 67], Operations: ['55+54=109', '3+64=67']
Exploring Operation: 109-67=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
6,
10,
36,
13
] | 100 | [
"36-6=30",
"10*13=130",
"130-30=100"
] | Current State: 100:[6, 10, 36, 13], Operations: []
Exploring Operation: 36-6=30, Resulting Numbers: [10, 13, 30]
Generated Node #2: [10, 13, 30] from Operation: 36-6=30
Current State: 100:[10, 13, 30], Operations: ['36-6=30']
Exploring Operation: 10*13=130, Resulting Numbers: [30, 130]
Generated Node #3: [30, 130] from Operation: 10*13=130
Current State: 100:[30, 130], Operations: ['36-6=30', '10*13=130']
Exploring Operation: 130-30=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
83,
84,
14,
5
] | 97 | [
"83+84=167",
"14*5=70",
"167-70=97"
] | Current State: 97:[83, 84, 14, 5], Operations: []
Exploring Operation: 83+84=167, Resulting Numbers: [14, 5, 167]
Generated Node #2: [14, 5, 167] from Operation: 83+84=167
Current State: 97:[14, 5, 167], Operations: ['83+84=167']
Exploring Operation: 14*5=70, Resulting Numbers: [167, 70]
Generated Node #3: [167, 70] from Operation: 14*5=70
Current State: 97:[167, 70], Operations: ['83+84=167', '14*5=70']
Exploring Operation: 167-70=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
19,
15,
36,
75
] | 73 | [
"19+15=34",
"75-36=39",
"34+39=73"
] | Current State: 73:[19, 15, 36, 75], Operations: []
Exploring Operation: 19+15=34, Resulting Numbers: [36, 75, 34]
Generated Node #2: [36, 75, 34] from Operation: 19+15=34
Current State: 73:[36, 75, 34], Operations: ['19+15=34']
Exploring Operation: 75-36=39, Resulting Numbers: [34, 39]
Generated Node #3: [34, 39] from Operation: 75-36=39
Current State: 73:[34, 39], Operations: ['19+15=34', '75-36=39']
Exploring Operation: 34+39=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
83,
84,
17,
79
] | 20 | [
"83+17=100",
"84-79=5",
"100/5=20"
] | Current State: 20:[83, 84, 17, 79], Operations: []
Exploring Operation: 83+17=100, Resulting Numbers: [84, 79, 100]
Generated Node #2: [84, 79, 100] from Operation: 83+17=100
Current State: 20:[84, 79, 100], Operations: ['83+17=100']
Exploring Operation: 84-79=5, Resulting Numbers: [100, 5]
Generated Node #3: [100, 5] from Operation: 84-79=5
Current State: 20:[100, 5], Operations: ['83+17=100', '84-79=5']
Exploring Operation: 100/5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
44,
64,
16,
49
] | 97 | [
"44+49=93",
"64/16=4",
"93+4=97"
] | Current State: 97:[44, 64, 16, 49], Operations: []
Exploring Operation: 44+49=93, Resulting Numbers: [64, 16, 93]
Generated Node #2: [64, 16, 93] from Operation: 44+49=93
Current State: 97:[64, 16, 93], Operations: ['44+49=93']
Exploring Operation: 64/16=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 64/16=4
Current State: 97:[93, 4], Operations: ['44+49=93', '64/16=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
4,
16,
63,
49
] | 72 | [
"63-49=14",
"4*14=56",
"16+56=72"
] | Current State: 72:[4, 16, 63, 49], Operations: []
Exploring Operation: 63-49=14, Resulting Numbers: [4, 16, 14]
Generated Node #2: [4, 16, 14] from Operation: 63-49=14
Current State: 72:[4, 16, 14], Operations: ['63-49=14']
Exploring Operation: 4*14=56, Resulting Numbers: [16, 56]
Generated Node #3: [16, 56] from Operation: 4*14=56
Current State: 72:[16, 56], Operations: ['63-49=14', '4*14=56']
Exploring Operation: 16+56=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
15,
20,
70,
22
] | 53 | [
"20-15=5",
"70-22=48",
"5+48=53"
] | Current State: 53:[15, 20, 70, 22], Operations: []
Exploring Operation: 20-15=5, Resulting Numbers: [70, 22, 5]
Generated Node #2: [70, 22, 5] from Operation: 20-15=5
Current State: 53:[70, 22, 5], Operations: ['20-15=5']
Exploring Operation: 70-22=48, Resulting Numbers: [5, 48]
Generated Node #3: [5, 48] from Operation: 70-22=48
Current State: 53:[5, 48], Operations: ['20-15=5', '70-22=48']
Exploring Operation: 5+48=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
43,
59,
78,
65
] | 85 | [
"43+59=102",
"65*102=6630",
"6630/78=85"
] | Current State: 85:[43, 59, 78, 65], Operations: []
Exploring Operation: 43+59=102, Resulting Numbers: [78, 65, 102]
Generated Node #2: [78, 65, 102] from Operation: 43+59=102
Current State: 85:[78, 65, 102], Operations: ['43+59=102']
Exploring Operation: 65*102=6630, Resulting Numbers: [78, 6630]
Generated Node #3: [78, 6630] from Operation: 65*102=6630
Current State: 85:[78, 6630], Operations: ['43+59=102', '65*102=6630']
Exploring Operation: 6630/78=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
13,
13,
98,
28
] | 70 | [
"13-13=0",
"98-28=70",
"0+70=70"
] | Current State: 70:[13, 13, 98, 28], Operations: []
Exploring Operation: 13-13=0, Resulting Numbers: [98, 28, 0]
Generated Node #2: [98, 28, 0] from Operation: 13-13=0
Current State: 70:[98, 28, 0], Operations: ['13-13=0']
Exploring Operation: 98-28=70, Resulting Numbers: [0, 70]
Generated Node #3: [0, 70] from Operation: 98-28=70
Current State: 70:[0, 70], Operations: ['13-13=0', '98-28=70']
Exploring Operation: 0+70=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
76,
95,
41,
66
] | 44 | [
"95-76=19",
"66-41=25",
"19+25=44"
] | Current State: 44:[76, 95, 41, 66], Operations: []
Exploring Operation: 95-76=19, Resulting Numbers: [41, 66, 19]
Generated Node #2: [41, 66, 19] from Operation: 95-76=19
Current State: 44:[41, 66, 19], Operations: ['95-76=19']
Exploring Operation: 66-41=25, Resulting Numbers: [19, 25]
Generated Node #3: [19, 25] from Operation: 66-41=25
Current State: 44:[19, 25], Operations: ['95-76=19', '66-41=25']
Exploring Operation: 19+25=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
73,
7,
75,
81
] | 53 | [
"73+81=154",
"154/7=22",
"75-22=53"
] | Current State: 53:[73, 7, 75, 81], Operations: []
Exploring Operation: 73+81=154, Resulting Numbers: [7, 75, 154]
Generated Node #2: [7, 75, 154] from Operation: 73+81=154
Current State: 53:[7, 75, 154], Operations: ['73+81=154']
Exploring Operation: 154/7=22, Resulting Numbers: [75, 22]
Generated Node #3: [75, 22] from Operation: 154/7=22
Current State: 53:[75, 22], Operations: ['73+81=154', '154/7=22']
Exploring Operation: 75-22=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
37,
2,
33,
10
] | 39 | [
"37-10=27",
"2*33=66",
"66-27=39"
] | Current State: 39:[37, 2, 33, 10], Operations: []
Exploring Operation: 37-10=27, Resulting Numbers: [2, 33, 27]
Generated Node #2: [2, 33, 27] from Operation: 37-10=27
Current State: 39:[2, 33, 27], Operations: ['37-10=27']
Exploring Operation: 2*33=66, Resulting Numbers: [27, 66]
Generated Node #3: [27, 66] from Operation: 2*33=66
Current State: 39:[27, 66], Operations: ['37-10=27', '2*33=66']
Exploring Operation: 66-27=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
17,
5,
95,
78
] | 42 | [
"78-17=61",
"95/5=19",
"61-19=42"
] | Current State: 42:[17, 5, 95, 78], Operations: []
Exploring Operation: 78-17=61, Resulting Numbers: [5, 95, 61]
Generated Node #2: [5, 95, 61] from Operation: 78-17=61
Current State: 42:[5, 95, 61], Operations: ['78-17=61']
Exploring Operation: 95/5=19, Resulting Numbers: [61, 19]
Generated Node #3: [61, 19] from Operation: 95/5=19
Current State: 42:[61, 19], Operations: ['78-17=61', '95/5=19']
Exploring Operation: 61-19=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
31,
94,
54,
68
] | 23 | [
"31*68=2108",
"54+2108=2162",
"2162/94=23"
] | Current State: 23:[31, 94, 54, 68], Operations: []
Exploring Operation: 31*68=2108, Resulting Numbers: [94, 54, 2108]
Generated Node #2: [94, 54, 2108] from Operation: 31*68=2108
Current State: 23:[94, 54, 2108], Operations: ['31*68=2108']
Exploring Operation: 54+2108=2162, Resulting Numbers: [94, 2162]
Generated Node #3: [94, 2162] from Operation: 54+2108=2162
Current State: 23:[94, 2162], Operations: ['31*68=2108', '54+2108=2162']
Exploring Operation: 2162/94=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
7,
83,
47,
45
] | 88 | [
"7+83=90",
"47-45=2",
"90-2=88"
] | Current State: 88:[7, 83, 47, 45], Operations: []
Exploring Operation: 7+83=90, Resulting Numbers: [47, 45, 90]
Generated Node #2: [47, 45, 90] from Operation: 7+83=90
Current State: 88:[47, 45, 90], Operations: ['7+83=90']
Exploring Operation: 47-45=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 47-45=2
Current State: 88:[90, 2], Operations: ['7+83=90', '47-45=2']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
46,
47,
81,
23
] | 36 | [
"46/23=2",
"81-47=34",
"2+34=36"
] | Current State: 36:[46, 47, 81, 23], Operations: []
Exploring Operation: 46/23=2, Resulting Numbers: [47, 81, 2]
Generated Node #2: [47, 81, 2] from Operation: 46/23=2
Current State: 36:[47, 81, 2], Operations: ['46/23=2']
Exploring Operation: 81-47=34, Resulting Numbers: [2, 34]
Generated Node #3: [2, 34] from Operation: 81-47=34
Current State: 36:[2, 34], Operations: ['46/23=2', '81-47=34']
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
39,
36,
37,
23
] | 62 | [
"39+23=62",
"37-36=1",
"62*1=62"
] | Current State: 62:[39, 36, 37, 23], Operations: []
Exploring Operation: 39+23=62, Resulting Numbers: [36, 37, 62]
Generated Node #2: [36, 37, 62] from Operation: 39+23=62
Current State: 62:[36, 37, 62], Operations: ['39+23=62']
Exploring Operation: 37-36=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 37-36=1
Current State: 62:[62, 1], Operations: ['39+23=62', '37-36=1']
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
96,
50,
4,
22
] | 78 | [
"50+22=72",
"72/4=18",
"96-18=78"
] | Current State: 78:[96, 50, 4, 22], Operations: []
Exploring Operation: 50+22=72, Resulting Numbers: [96, 4, 72]
Generated Node #2: [96, 4, 72] from Operation: 50+22=72
Current State: 78:[96, 4, 72], Operations: ['50+22=72']
Exploring Operation: 72/4=18, Resulting Numbers: [96, 18]
Generated Node #3: [96, 18] from Operation: 72/4=18
Current State: 78:[96, 18], Operations: ['50+22=72', '72/4=18']
Exploring Operation: 96-18=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
77,
14,
87,
11
] | 44 | [
"77+14=91",
"91-87=4",
"11*4=44"
] | Current State: 44:[77, 14, 87, 11], Operations: []
Exploring Operation: 77+14=91, Resulting Numbers: [87, 11, 91]
Generated Node #2: [87, 11, 91] from Operation: 77+14=91
Current State: 44:[87, 11, 91], Operations: ['77+14=91']
Exploring Operation: 91-87=4, Resulting Numbers: [11, 4]
Generated Node #3: [11, 4] from Operation: 91-87=4
Current State: 44:[11, 4], Operations: ['77+14=91', '91-87=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
34,
74,
11,
93
] | 42 | [
"74-34=40",
"93-11=82",
"82-40=42"
] | Current State: 42:[34, 74, 11, 93], Operations: []
Exploring Operation: 74-34=40, Resulting Numbers: [11, 93, 40]
Generated Node #2: [11, 93, 40] from Operation: 74-34=40
Current State: 42:[11, 93, 40], Operations: ['74-34=40']
Exploring Operation: 93-11=82, Resulting Numbers: [40, 82]
Generated Node #3: [40, 82] from Operation: 93-11=82
Current State: 42:[40, 82], Operations: ['74-34=40', '93-11=82']
Exploring Operation: 82-40=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
40,
17,
43,
42
] | 75 | [
"43-40=3",
"42-17=25",
"3*25=75"
] | Current State: 75:[40, 17, 43, 42], Operations: []
Exploring Operation: 43-40=3, Resulting Numbers: [17, 42, 3]
Generated Node #2: [17, 42, 3] from Operation: 43-40=3
Current State: 75:[17, 42, 3], Operations: ['43-40=3']
Exploring Operation: 42-17=25, Resulting Numbers: [3, 25]
Generated Node #3: [3, 25] from Operation: 42-17=25
Current State: 75:[3, 25], Operations: ['43-40=3', '42-17=25']
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
49,
73,
57,
38
] | 29 | [
"57*38=2166",
"2166-49=2117",
"2117/73=29"
] | Current State: 29:[49, 73, 57, 38], Operations: []
Exploring Operation: 57*38=2166, Resulting Numbers: [49, 73, 2166]
Generated Node #2: [49, 73, 2166] from Operation: 57*38=2166
Current State: 29:[49, 73, 2166], Operations: ['57*38=2166']
Exploring Operation: 2166-49=2117, Resulting Numbers: [73, 2117]
Generated Node #3: [73, 2117] from Operation: 2166-49=2117
Current State: 29:[73, 2117], Operations: ['57*38=2166', '2166-49=2117']
Exploring Operation: 2117/73=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
26,
37,
18,
9
] | 99 | [
"26+37=63",
"18*9=162",
"162-63=99"
] | Current State: 99:[26, 37, 18, 9], Operations: []
Exploring Operation: 26+37=63, Resulting Numbers: [18, 9, 63]
Generated Node #2: [18, 9, 63] from Operation: 26+37=63
Current State: 99:[18, 9, 63], Operations: ['26+37=63']
Exploring Operation: 18*9=162, Resulting Numbers: [63, 162]
Generated Node #3: [63, 162] from Operation: 18*9=162
Current State: 99:[63, 162], Operations: ['26+37=63', '18*9=162']
Exploring Operation: 162-63=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
11,
21,
4,
12
] | 35 | [
"11+21=32",
"12/4=3",
"32+3=35"
] | Current State: 35:[11, 21, 4, 12], Operations: []
Exploring Operation: 11+21=32, Resulting Numbers: [4, 12, 32]
Generated Node #2: [4, 12, 32] from Operation: 11+21=32
Current State: 35:[4, 12, 32], Operations: ['11+21=32']
Exploring Operation: 12/4=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 12/4=3
Current State: 35:[32, 3], Operations: ['11+21=32', '12/4=3']
Exploring Operation: 32+3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
66,
63,
48,
88
] | 66 | [
"66*63=4158",
"48*88=4224",
"4224-4158=66"
] | Current State: 66:[66, 63, 48, 88], Operations: []
Exploring Operation: 66*63=4158, Resulting Numbers: [48, 88, 4158]
Generated Node #2: [48, 88, 4158] from Operation: 66*63=4158
Current State: 66:[48, 88, 4158], Operations: ['66*63=4158']
Exploring Operation: 48*88=4224, Resulting Numbers: [4158, 4224]
Generated Node #3: [4158, 4224] from Operation: 48*88=4224
Current State: 66:[4158, 4224], Operations: ['66*63=4158', '48*88=4224']
Exploring Operation: 4224-4158=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
70,
28,
82,
75
] | 58 | [
"75-70=5",
"28*5=140",
"140-82=58"
] | Current State: 58:[70, 28, 82, 75], Operations: []
Exploring Operation: 75-70=5, Resulting Numbers: [28, 82, 5]
Generated Node #2: [28, 82, 5] from Operation: 75-70=5
Current State: 58:[28, 82, 5], Operations: ['75-70=5']
Exploring Operation: 28*5=140, Resulting Numbers: [82, 140]
Generated Node #3: [82, 140] from Operation: 28*5=140
Current State: 58:[82, 140], Operations: ['75-70=5', '28*5=140']
Exploring Operation: 140-82=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
69,
34,
84,
89
] | 30 | [
"69-34=35",
"89-84=5",
"35-5=30"
] | Current State: 30:[69, 34, 84, 89], Operations: []
Exploring Operation: 69-34=35, Resulting Numbers: [84, 89, 35]
Generated Node #2: [84, 89, 35] from Operation: 69-34=35
Current State: 30:[84, 89, 35], Operations: ['69-34=35']
Exploring Operation: 89-84=5, Resulting Numbers: [35, 5]
Generated Node #3: [35, 5] from Operation: 89-84=5
Current State: 30:[35, 5], Operations: ['69-34=35', '89-84=5']
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
26,
93,
41,
21
] | 42 | [
"93-41=52",
"52/26=2",
"21*2=42"
] | Current State: 42:[26, 93, 41, 21], Operations: []
Exploring Operation: 93-41=52, Resulting Numbers: [26, 21, 52]
Generated Node #2: [26, 21, 52] from Operation: 93-41=52
Current State: 42:[26, 21, 52], Operations: ['93-41=52']
Exploring Operation: 52/26=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 52/26=2
Current State: 42:[21, 2], Operations: ['93-41=52', '52/26=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
58,
20,
25,
29
] | 22 | [
"29-25=4",
"20*4=80",
"80-58=22"
] | Current State: 22:[58, 20, 25, 29], Operations: []
Exploring Operation: 29-25=4, Resulting Numbers: [58, 20, 4]
Generated Node #2: [58, 20, 4] from Operation: 29-25=4
Current State: 22:[58, 20, 4], Operations: ['29-25=4']
Exploring Operation: 20*4=80, Resulting Numbers: [58, 80]
Generated Node #3: [58, 80] from Operation: 20*4=80
Current State: 22:[58, 80], Operations: ['29-25=4', '20*4=80']
Exploring Operation: 80-58=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
50,
80,
79,
2
] | 19 | [
"80-50=30",
"2*30=60",
"79-60=19"
] | Current State: 19:[50, 80, 79, 2], Operations: []
Exploring Operation: 80-50=30, Resulting Numbers: [79, 2, 30]
Generated Node #2: [79, 2, 30] from Operation: 80-50=30
Current State: 19:[79, 2, 30], Operations: ['80-50=30']
Exploring Operation: 2*30=60, Resulting Numbers: [79, 60]
Generated Node #3: [79, 60] from Operation: 2*30=60
Current State: 19:[79, 60], Operations: ['80-50=30', '2*30=60']
Exploring Operation: 79-60=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
90,
2,
41,
83
] | 79 | [
"90/2=45",
"41+83=124",
"124-45=79"
] | Current State: 79:[90, 2, 41, 83], Operations: []
Exploring Operation: 90/2=45, Resulting Numbers: [41, 83, 45]
Generated Node #2: [41, 83, 45] from Operation: 90/2=45
Current State: 79:[41, 83, 45], Operations: ['90/2=45']
Exploring Operation: 41+83=124, Resulting Numbers: [45, 124]
Generated Node #3: [45, 124] from Operation: 41+83=124
Current State: 79:[45, 124], Operations: ['90/2=45', '41+83=124']
Exploring Operation: 124-45=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
32,
15,
65,
71
] | 23 | [
"32-15=17",
"71-65=6",
"17+6=23"
] | Current State: 23:[32, 15, 65, 71], Operations: []
Exploring Operation: 32-15=17, Resulting Numbers: [65, 71, 17]
Generated Node #2: [65, 71, 17] from Operation: 32-15=17
Current State: 23:[65, 71, 17], Operations: ['32-15=17']
Exploring Operation: 71-65=6, Resulting Numbers: [17, 6]
Generated Node #3: [17, 6] from Operation: 71-65=6
Current State: 23:[17, 6], Operations: ['32-15=17', '71-65=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
61,
33,
73,
35
] | 67 | [
"61+73=134",
"35-33=2",
"134/2=67"
] | Current State: 67:[61, 33, 73, 35], Operations: []
Exploring Operation: 61+73=134, Resulting Numbers: [33, 35, 134]
Generated Node #2: [33, 35, 134] from Operation: 61+73=134
Current State: 67:[33, 35, 134], Operations: ['61+73=134']
Exploring Operation: 35-33=2, Resulting Numbers: [134, 2]
Generated Node #3: [134, 2] from Operation: 35-33=2
Current State: 67:[134, 2], Operations: ['61+73=134', '35-33=2']
Exploring Operation: 134/2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
75,
51,
84,
35
] | 77 | [
"75+51=126",
"84-35=49",
"126-49=77"
] | Current State: 77:[75, 51, 84, 35], Operations: []
Exploring Operation: 75+51=126, Resulting Numbers: [84, 35, 126]
Generated Node #2: [84, 35, 126] from Operation: 75+51=126
Current State: 77:[84, 35, 126], Operations: ['75+51=126']
Exploring Operation: 84-35=49, Resulting Numbers: [126, 49]
Generated Node #3: [126, 49] from Operation: 84-35=49
Current State: 77:[126, 49], Operations: ['75+51=126', '84-35=49']
Exploring Operation: 126-49=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
25,
12,
14,
2
] | 36 | [
"14*2=28",
"28-25=3",
"12*3=36"
] | Current State: 36:[25, 12, 14, 2], Operations: []
Exploring Operation: 14*2=28, Resulting Numbers: [25, 12, 28]
Generated Node #2: [25, 12, 28] from Operation: 14*2=28
Current State: 36:[25, 12, 28], Operations: ['14*2=28']
Exploring Operation: 28-25=3, Resulting Numbers: [12, 3]
Generated Node #3: [12, 3] from Operation: 28-25=3
Current State: 36:[12, 3], Operations: ['14*2=28', '28-25=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
6,
98,
4,
28
] | 16 | [
"98-6=92",
"92-28=64",
"64/4=16"
] | Current State: 16:[6, 98, 4, 28], Operations: []
Exploring Operation: 98-6=92, Resulting Numbers: [4, 28, 92]
Generated Node #2: [4, 28, 92] from Operation: 98-6=92
Current State: 16:[4, 28, 92], Operations: ['98-6=92']
Exploring Operation: 92-28=64, Resulting Numbers: [4, 64]
Generated Node #3: [4, 64] from Operation: 92-28=64
Current State: 16:[4, 64], Operations: ['98-6=92', '92-28=64']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
13,
81,
89,
46
] | 58 | [
"89-81=8",
"13*8=104",
"104-46=58"
] | Current State: 58:[13, 81, 89, 46], Operations: []
Exploring Operation: 89-81=8, Resulting Numbers: [13, 46, 8]
Generated Node #2: [13, 46, 8] from Operation: 89-81=8
Current State: 58:[13, 46, 8], Operations: ['89-81=8']
Exploring Operation: 13*8=104, Resulting Numbers: [46, 104]
Generated Node #3: [46, 104] from Operation: 13*8=104
Current State: 58:[46, 104], Operations: ['89-81=8', '13*8=104']
Exploring Operation: 104-46=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
65,
31,
46,
50
] | 38 | [
"65-31=34",
"50-46=4",
"34+4=38"
] | Current State: 38:[65, 31, 46, 50], Operations: []
Exploring Operation: 65-31=34, Resulting Numbers: [46, 50, 34]
Generated Node #2: [46, 50, 34] from Operation: 65-31=34
Current State: 38:[46, 50, 34], Operations: ['65-31=34']
Exploring Operation: 50-46=4, Resulting Numbers: [34, 4]
Generated Node #3: [34, 4] from Operation: 50-46=4
Current State: 38:[34, 4], Operations: ['65-31=34', '50-46=4']
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
73,
71,
17,
23
] | 20 | [
"73-71=2",
"17+23=40",
"40/2=20"
] | Current State: 20:[73, 71, 17, 23], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [17, 23, 2]
Generated Node #2: [17, 23, 2] from Operation: 73-71=2
Current State: 20:[17, 23, 2], Operations: ['73-71=2']
Exploring Operation: 17+23=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 17+23=40
Current State: 20:[2, 40], Operations: ['73-71=2', '17+23=40']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
48,
50,
96,
70
] | 10 | [
"96/48=2",
"70-50=20",
"20/2=10"
] | Current State: 10:[48, 50, 96, 70], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [50, 70, 2]
Generated Node #2: [50, 70, 2] from Operation: 96/48=2
Current State: 10:[50, 70, 2], Operations: ['96/48=2']
Exploring Operation: 70-50=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 70-50=20
Current State: 10:[2, 20], Operations: ['96/48=2', '70-50=20']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
6,
21,
40,
21
] | 56 | [
"21-6=15",
"40*21=840",
"840/15=56"
] | Current State: 56:[6, 21, 40, 21], Operations: []
Exploring Operation: 21-6=15, Resulting Numbers: [40, 15]
Generated Node #2: [40, 15] from Operation: 21-6=15
Current State: 56:[40, 15], Operations: ['21-6=15']
Exploring Operation: 40*21=840, Resulting Numbers: [15, 840]
Generated Node #3: [15, 840] from Operation: 40*21=840
Current State: 56:[15, 840], Operations: ['21-6=15', '40*21=840']
Exploring Operation: 840/15=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
51,
56,
1,
11
] | 56 | [
"56-51=5",
"11*5=55",
"1+55=56"
] | Current State: 56:[51, 56, 1, 11], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [1, 11, 5]
Generated Node #2: [1, 11, 5] from Operation: 56-51=5
Current State: 56:[1, 11, 5], Operations: ['56-51=5']
Exploring Operation: 11*5=55, Resulting Numbers: [1, 55]
Generated Node #3: [1, 55] from Operation: 11*5=55
Current State: 56:[1, 55], Operations: ['56-51=5', '11*5=55']
Exploring Operation: 1+55=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
97,
81,
3,
7
] | 63 | [
"97-7=90",
"81/3=27",
"90-27=63"
] | Current State: 63:[97, 81, 3, 7], Operations: []
Exploring Operation: 97-7=90, Resulting Numbers: [81, 3, 90]
Generated Node #2: [81, 3, 90] from Operation: 97-7=90
Current State: 63:[81, 3, 90], Operations: ['97-7=90']
Exploring Operation: 81/3=27, Resulting Numbers: [90, 27]
Generated Node #3: [90, 27] from Operation: 81/3=27
Current State: 63:[90, 27], Operations: ['97-7=90', '81/3=27']
Exploring Operation: 90-27=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
31,
11,
88,
81
] | 13 | [
"31-11=20",
"88-81=7",
"20-7=13"
] | Current State: 13:[31, 11, 88, 81], Operations: []
Exploring Operation: 31-11=20, Resulting Numbers: [88, 81, 20]
Generated Node #2: [88, 81, 20] from Operation: 31-11=20
Current State: 13:[88, 81, 20], Operations: ['31-11=20']
Exploring Operation: 88-81=7, Resulting Numbers: [20, 7]
Generated Node #3: [20, 7] from Operation: 88-81=7
Current State: 13:[20, 7], Operations: ['31-11=20', '88-81=7']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
42,
41,
87,
5
] | 20 | [
"42+41=83",
"87-83=4",
"5*4=20"
] | Current State: 20:[42, 41, 87, 5], Operations: []
Exploring Operation: 42+41=83, Resulting Numbers: [87, 5, 83]
Generated Node #2: [87, 5, 83] from Operation: 42+41=83
Current State: 20:[87, 5, 83], Operations: ['42+41=83']
Exploring Operation: 87-83=4, Resulting Numbers: [5, 4]
Generated Node #3: [5, 4] from Operation: 87-83=4
Current State: 20:[5, 4], Operations: ['42+41=83', '87-83=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
6,
47,
73,
22
] | 54 | [
"47-6=41",
"73+22=95",
"95-41=54"
] | Current State: 54:[6, 47, 73, 22], Operations: []
Exploring Operation: 47-6=41, Resulting Numbers: [73, 22, 41]
Generated Node #2: [73, 22, 41] from Operation: 47-6=41
Current State: 54:[73, 22, 41], Operations: ['47-6=41']
Exploring Operation: 73+22=95, Resulting Numbers: [41, 95]
Generated Node #3: [41, 95] from Operation: 73+22=95
Current State: 54:[41, 95], Operations: ['47-6=41', '73+22=95']
Exploring Operation: 95-41=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
73,
50,
19,
75
] | 88 | [
"75-73=2",
"19*2=38",
"50+38=88"
] | Current State: 88:[73, 50, 19, 75], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [50, 19, 2]
Generated Node #2: [50, 19, 2] from Operation: 75-73=2
Current State: 88:[50, 19, 2], Operations: ['75-73=2']
Exploring Operation: 19*2=38, Resulting Numbers: [50, 38]
Generated Node #3: [50, 38] from Operation: 19*2=38
Current State: 88:[50, 38], Operations: ['75-73=2', '19*2=38']
Exploring Operation: 50+38=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
92,
62,
40,
46
] | 36 | [
"92-62=30",
"46-40=6",
"30+6=36"
] | Current State: 36:[92, 62, 40, 46], Operations: []
Exploring Operation: 92-62=30, Resulting Numbers: [40, 46, 30]
Generated Node #2: [40, 46, 30] from Operation: 92-62=30
Current State: 36:[40, 46, 30], Operations: ['92-62=30']
Exploring Operation: 46-40=6, Resulting Numbers: [30, 6]
Generated Node #3: [30, 6] from Operation: 46-40=6
Current State: 36:[30, 6], Operations: ['92-62=30', '46-40=6']
Exploring Operation: 30+6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
16,
55,
7,
1
] | 73 | [
"7+1=8",
"16*8=128",
"128-55=73"
] | Current State: 73:[16, 55, 7, 1], Operations: []
Exploring Operation: 7+1=8, Resulting Numbers: [16, 55, 8]
Generated Node #2: [16, 55, 8] from Operation: 7+1=8
Current State: 73:[16, 55, 8], Operations: ['7+1=8']
Exploring Operation: 16*8=128, Resulting Numbers: [55, 128]
Generated Node #3: [55, 128] from Operation: 16*8=128
Current State: 73:[55, 128], Operations: ['7+1=8', '16*8=128']
Exploring Operation: 128-55=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
10,
4,
23,
31
] | 48 | [
"10*4=40",
"31-23=8",
"40+8=48"
] | Current State: 48:[10, 4, 23, 31], Operations: []
Exploring Operation: 10*4=40, Resulting Numbers: [23, 31, 40]
Generated Node #2: [23, 31, 40] from Operation: 10*4=40
Current State: 48:[23, 31, 40], Operations: ['10*4=40']
Exploring Operation: 31-23=8, Resulting Numbers: [40, 8]
Generated Node #3: [40, 8] from Operation: 31-23=8
Current State: 48:[40, 8], Operations: ['10*4=40', '31-23=8']
Exploring Operation: 40+8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
8,
16,
96,
2
] | 34 | [
"8*16=128",
"96-2=94",
"128-94=34"
] | Current State: 34:[8, 16, 96, 2], Operations: []
Exploring Operation: 8*16=128, Resulting Numbers: [96, 2, 128]
Generated Node #2: [96, 2, 128] from Operation: 8*16=128
Current State: 34:[96, 2, 128], Operations: ['8*16=128']
Exploring Operation: 96-2=94, Resulting Numbers: [128, 94]
Generated Node #3: [128, 94] from Operation: 96-2=94
Current State: 34:[128, 94], Operations: ['8*16=128', '96-2=94']
Exploring Operation: 128-94=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
78,
18,
77,
90
] | 71 | [
"78+18=96",
"77+90=167",
"167-96=71"
] | Current State: 71:[78, 18, 77, 90], Operations: []
Exploring Operation: 78+18=96, Resulting Numbers: [77, 90, 96]
Generated Node #2: [77, 90, 96] from Operation: 78+18=96
Current State: 71:[77, 90, 96], Operations: ['78+18=96']
Exploring Operation: 77+90=167, Resulting Numbers: [96, 167]
Generated Node #3: [96, 167] from Operation: 77+90=167
Current State: 71:[96, 167], Operations: ['78+18=96', '77+90=167']
Exploring Operation: 167-96=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
92,
76,
72,
95
] | 72 | [
"76-72=4",
"92/4=23",
"95-23=72"
] | Current State: 72:[92, 76, 72, 95], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [92, 95, 4]
Generated Node #2: [92, 95, 4] from Operation: 76-72=4
Current State: 72:[92, 95, 4], Operations: ['76-72=4']
Exploring Operation: 92/4=23, Resulting Numbers: [95, 23]
Generated Node #3: [95, 23] from Operation: 92/4=23
Current State: 72:[95, 23], Operations: ['76-72=4', '92/4=23']
Exploring Operation: 95-23=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
94,
98,
6,
85
] | 83 | [
"98-94=4",
"85-6=79",
"4+79=83"
] | Current State: 83:[94, 98, 6, 85], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [6, 85, 4]
Generated Node #2: [6, 85, 4] from Operation: 98-94=4
Current State: 83:[6, 85, 4], Operations: ['98-94=4']
Exploring Operation: 85-6=79, Resulting Numbers: [4, 79]
Generated Node #3: [4, 79] from Operation: 85-6=79
Current State: 83:[4, 79], Operations: ['98-94=4', '85-6=79']
Exploring Operation: 4+79=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
14,
11,
69,
79
] | 95 | [
"14*69=966",
"79+966=1045",
"1045/11=95"
] | Current State: 95:[14, 11, 69, 79], Operations: []
Exploring Operation: 14*69=966, Resulting Numbers: [11, 79, 966]
Generated Node #2: [11, 79, 966] from Operation: 14*69=966
Current State: 95:[11, 79, 966], Operations: ['14*69=966']
Exploring Operation: 79+966=1045, Resulting Numbers: [11, 1045]
Generated Node #3: [11, 1045] from Operation: 79+966=1045
Current State: 95:[11, 1045], Operations: ['14*69=966', '79+966=1045']
Exploring Operation: 1045/11=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
29,
26,
1,
16
] | 19 | [
"29-26=3",
"1*16=16",
"3+16=19"
] | Current State: 19:[29, 26, 1, 16], Operations: []
Exploring Operation: 29-26=3, Resulting Numbers: [1, 16, 3]
Generated Node #2: [1, 16, 3] from Operation: 29-26=3
Current State: 19:[1, 16, 3], Operations: ['29-26=3']
Exploring Operation: 1*16=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 1*16=16
Current State: 19:[3, 16], Operations: ['29-26=3', '1*16=16']
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
40,
55,
11,
46
] | 80 | [
"55-11=44",
"46-44=2",
"40*2=80"
] | Current State: 80:[40, 55, 11, 46], Operations: []
Exploring Operation: 55-11=44, Resulting Numbers: [40, 46, 44]
Generated Node #2: [40, 46, 44] from Operation: 55-11=44
Current State: 80:[40, 46, 44], Operations: ['55-11=44']
Exploring Operation: 46-44=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 46-44=2
Current State: 80:[40, 2], Operations: ['55-11=44', '46-44=2']
Exploring Operation: 40*2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
55,
86,
34,
97
] | 100 | [
"86-55=31",
"34+97=131",
"131-31=100"
] | Current State: 100:[55, 86, 34, 97], Operations: []
Exploring Operation: 86-55=31, Resulting Numbers: [34, 97, 31]
Generated Node #2: [34, 97, 31] from Operation: 86-55=31
Current State: 100:[34, 97, 31], Operations: ['86-55=31']
Exploring Operation: 34+97=131, Resulting Numbers: [31, 131]
Generated Node #3: [31, 131] from Operation: 34+97=131
Current State: 100:[31, 131], Operations: ['86-55=31', '34+97=131']
Exploring Operation: 131-31=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
89,
49,
6,
93
] | 25 | [
"93-89=4",
"6*4=24",
"49-24=25"
] | Current State: 25:[89, 49, 6, 93], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [49, 6, 4]
Generated Node #2: [49, 6, 4] from Operation: 93-89=4
Current State: 25:[49, 6, 4], Operations: ['93-89=4']
Exploring Operation: 6*4=24, Resulting Numbers: [49, 24]
Generated Node #3: [49, 24] from Operation: 6*4=24
Current State: 25:[49, 24], Operations: ['93-89=4', '6*4=24']
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
27,
94,
11,
24
] | 32 | [
"94-27=67",
"11+24=35",
"67-35=32"
] | Current State: 32:[27, 94, 11, 24], Operations: []
Exploring Operation: 94-27=67, Resulting Numbers: [11, 24, 67]
Generated Node #2: [11, 24, 67] from Operation: 94-27=67
Current State: 32:[11, 24, 67], Operations: ['94-27=67']
Exploring Operation: 11+24=35, Resulting Numbers: [67, 35]
Generated Node #3: [67, 35] from Operation: 11+24=35
Current State: 32:[67, 35], Operations: ['94-27=67', '11+24=35']
Exploring Operation: 67-35=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
14,
44,
31,
6
] | 97 | [
"14*6=84",
"44-31=13",
"84+13=97"
] | Current State: 97:[14, 44, 31, 6], Operations: []
Exploring Operation: 14*6=84, Resulting Numbers: [44, 31, 84]
Generated Node #2: [44, 31, 84] from Operation: 14*6=84
Current State: 97:[44, 31, 84], Operations: ['14*6=84']
Exploring Operation: 44-31=13, Resulting Numbers: [84, 13]
Generated Node #3: [84, 13] from Operation: 44-31=13
Current State: 97:[84, 13], Operations: ['14*6=84', '44-31=13']
Exploring Operation: 84+13=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
33,
52,
23,
88
] | 20 | [
"33+52=85",
"88-23=65",
"85-65=20"
] | Current State: 20:[33, 52, 23, 88], Operations: []
Exploring Operation: 33+52=85, Resulting Numbers: [23, 88, 85]
Generated Node #2: [23, 88, 85] from Operation: 33+52=85
Current State: 20:[23, 88, 85], Operations: ['33+52=85']
Exploring Operation: 88-23=65, Resulting Numbers: [85, 65]
Generated Node #3: [85, 65] from Operation: 88-23=65
Current State: 20:[85, 65], Operations: ['33+52=85', '88-23=65']
Exploring Operation: 85-65=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
48,
80,
6,
16
] | 49 | [
"48+6=54",
"80/16=5",
"54-5=49"
] | Current State: 49:[48, 80, 6, 16], Operations: []
Exploring Operation: 48+6=54, Resulting Numbers: [80, 16, 54]
Generated Node #2: [80, 16, 54] from Operation: 48+6=54
Current State: 49:[80, 16, 54], Operations: ['48+6=54']
Exploring Operation: 80/16=5, Resulting Numbers: [54, 5]
Generated Node #3: [54, 5] from Operation: 80/16=5
Current State: 49:[54, 5], Operations: ['48+6=54', '80/16=5']
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
79,
26,
35,
75
] | 25 | [
"79+26=105",
"35*75=2625",
"2625/105=25"
] | Current State: 25:[79, 26, 35, 75], Operations: []
Exploring Operation: 79+26=105, Resulting Numbers: [35, 75, 105]
Generated Node #2: [35, 75, 105] from Operation: 79+26=105
Current State: 25:[35, 75, 105], Operations: ['79+26=105']
Exploring Operation: 35*75=2625, Resulting Numbers: [105, 2625]
Generated Node #3: [105, 2625] from Operation: 35*75=2625
Current State: 25:[105, 2625], Operations: ['79+26=105', '35*75=2625']
Exploring Operation: 2625/105=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
10,
1,
73,
78
] | 60 | [
"73-1=72",
"78-72=6",
"10*6=60"
] | Current State: 60:[10, 1, 73, 78], Operations: []
Exploring Operation: 73-1=72, Resulting Numbers: [10, 78, 72]
Generated Node #2: [10, 78, 72] from Operation: 73-1=72
Current State: 60:[10, 78, 72], Operations: ['73-1=72']
Exploring Operation: 78-72=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 78-72=6
Current State: 60:[10, 6], Operations: ['73-1=72', '78-72=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
69,
86,
49,
19
] | 85 | [
"86-69=17",
"49+19=68",
"17+68=85"
] | Current State: 85:[69, 86, 49, 19], Operations: []
Exploring Operation: 86-69=17, Resulting Numbers: [49, 19, 17]
Generated Node #2: [49, 19, 17] from Operation: 86-69=17
Current State: 85:[49, 19, 17], Operations: ['86-69=17']
Exploring Operation: 49+19=68, Resulting Numbers: [17, 68]
Generated Node #3: [17, 68] from Operation: 49+19=68
Current State: 85:[17, 68], Operations: ['86-69=17', '49+19=68']
Exploring Operation: 17+68=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
24,
12,
93,
5
] | 100 | [
"24-12=12",
"93-5=88",
"12+88=100"
] | Current State: 100:[24, 12, 93, 5], Operations: []
Exploring Operation: 24-12=12, Resulting Numbers: [93, 5, 12]
Generated Node #2: [93, 5, 12] from Operation: 24-12=12
Current State: 100:[93, 5, 12], Operations: ['24-12=12']
Exploring Operation: 93-5=88, Resulting Numbers: [12, 88]
Generated Node #3: [12, 88] from Operation: 93-5=88
Current State: 100:[12, 88], Operations: ['24-12=12', '93-5=88']
Exploring Operation: 12+88=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
57,
68,
71,
8
] | 17 | [
"68-57=11",
"8*11=88",
"88-71=17"
] | Current State: 17:[57, 68, 71, 8], Operations: []
Exploring Operation: 68-57=11, Resulting Numbers: [71, 8, 11]
Generated Node #2: [71, 8, 11] from Operation: 68-57=11
Current State: 17:[71, 8, 11], Operations: ['68-57=11']
Exploring Operation: 8*11=88, Resulting Numbers: [71, 88]
Generated Node #3: [71, 88] from Operation: 8*11=88
Current State: 17:[71, 88], Operations: ['68-57=11', '8*11=88']
Exploring Operation: 88-71=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
41,
56,
96,
11
] | 24 | [
"56-41=15",
"15-11=4",
"96/4=24"
] | Current State: 24:[41, 56, 96, 11], Operations: []
Exploring Operation: 56-41=15, Resulting Numbers: [96, 11, 15]
Generated Node #2: [96, 11, 15] from Operation: 56-41=15
Current State: 24:[96, 11, 15], Operations: ['56-41=15']
Exploring Operation: 15-11=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 15-11=4
Current State: 24:[96, 4], Operations: ['56-41=15', '15-11=4']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
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